messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 3/6 / 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/6) ÷ (2/20) = (3/6) × (20/2) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/19 + 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/19 + 15/11. Common denominator = 209. Result = 483/209.\n</reasoning>\nFinal Answer: 483/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:43 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/43, so B = A × (43/17) = 77 × 43/17 = 194.7647.\n</reasoning>\nFinal Answer: 194.7647"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 25, 67, 59, 73, 88, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 14 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 6 * 1 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×1=6, then 48+6-42=12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -29 = 316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 23x = 345. Divide by 23: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/12 - 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/12 - 1/7. LCD = 21. Result = 11/21.\n</reasoning>\nFinal Answer: 11/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 52, 28, 53, 91, 89, 75, 30, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 485/9 = 53.8889.\n</reasoning>\nFinal Answer: 53.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:7 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/7, so B = A × (7/28) = 58 × 7/28 = 14.5.\n</reasoning>\nFinal Answer: 14.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 12% of 41?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 41 = (12/100) × 41 = 4.92.\n</reasoning>\nFinal Answer: 4.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 18 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+18) × 38 = 1292.0.\n</reasoning>\nFinal Answer: 1292.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -26 = -161"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 3x = -135. Divide by 3: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 50% of 990?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 990 = (50/100) × 990 = 495.0.\n</reasoning>\nFinal Answer: 495.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 50 + 31 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×50=1850 and 31×44=1364, then add: 3214.\n</reasoning>\nFinal Answer: 3214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 45 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 45 × 12 = 270.0.\n</reasoning>\nFinal Answer: 270.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -476 - 925"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 925 from -476: -476 - 925 = -1401.\n</reasoning>\nFinal Answer: -1401"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 27) * (26 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+27)=56, (26-42)=-16, then 56×-16=-896.\n</reasoning>\nFinal Answer: -896"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 - 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/11 - 5/15. LCD = 33. Result = 4/33.\n</reasoning>\nFinal Answer: 4/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:44 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/44, so B = A × (44/32) = 27 × 44/32 = 37.125.\n</reasoning>\nFinal Answer: 37.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 641 mod 778"
},
{
"role": "assistant",
"content": "<reasoning>\n641 mod 778: 641 = 778 × 0 + 641, so remainder = 641.\n</reasoning>\nFinal Answer: 641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 194 apples and buys 97 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 194 + 97 = 291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [42, 70, 23, 15, 14, 40, 66, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {42: 1, 70: 1, 23: 1, 15: 1, 14: 1, 40: 1, 66: 1, 53: 1}. Most frequent: [42, 70, 23, 15, 14, 40, 66, 53].\n</reasoning>\nFinal Answer: [42, 70,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:24 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/24, so B = A × (24/13) = 37 × 24/13 = 68.3077.\n</reasoning>\nFinal Answer: 68.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -39 = -237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 22x = -198. Divide by 22: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 89, 29, 96, 10, 86, 35, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 89: 1, 29: 1, 96: 1, 10: 1, 86: 1, 35: 1, 44: 1}. Most frequent: [67, 89, 29, 96, 10, 86, 35, 44].\n</reasoning>\nFinal Answer: [67, 89,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:34 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/34, so B = A × (34/26) = 38 × 34/26 = 49.6923.\n</reasoning>\nFinal Answer: 49.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "569 is what percentage of 945?"
},
{
"role": "assistant",
"content": "<reasoning>\n(569/945) × 100 = 60.2116%.\n</reasoning>\nFinal Answer: 60.2116%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -37 = -103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 2x = -66. Divide by 2: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 20) * (27 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+20)=62, (27-24)=3, then 62×3=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -36 mod -315"
},
{
"role": "assistant",
"content": "<reasoning>\n-36 mod -315: -36 = -315 × 0 + -36, so remainder = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:46 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/46, so B = A × (46/45) = 31 × 46/45 = 31.6889.\n</reasoning>\nFinal Answer: 31.6889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:33 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/33, so B = A × (33/47) = 1 × 33/47 = 0.7021.\n</reasoning>\nFinal Answer: 0.7021"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 10, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (37-1)×10 = 8 + 360 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -16 = -261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 5x = -245. Divide by 5: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 2 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+2) × 44 = 132.0.\n</reasoning>\nFinal Answer: 132.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 11 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 38+121-28=131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 30, 10, 56, 16, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 222/6 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -46 = -321"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 25x = -275. Divide by 25: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 - 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/14 - 10/4. LCD = 14. Result = -9/7.\n</reasoning>\nFinal Answer: -9/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 586 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 586 × (1 - 60/100) = 586 × 0.4 = 234.4.\n</reasoning>\nFinal Answer: 234.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -182 + -375"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -182 and -375: -182 + -375 = -557.\n</reasoning>\nFinal Answer: -557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 7, 11, 16, 17] and B = [2, 5, 9, 10, 12, 14, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 16].\n</reasoning>\nFinal Answer: [5, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 27, 49, 5, 53, 50, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 27: 1, 49: 1, 5: 1, 53: 1, 50: 1, 81: 1}. Most frequent: [72, 27, 49, 5, 53, 50, 81].\n</reasoning>\nFinal Answer: [72, 27, 49, 5, 53, 50, 81... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 * 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/11) × (10/11) = (180/121) = 180/121 after simplification.\n</reasoning>\nFinal Answer: 180/121"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 455 mod 128"
},
{
"role": "assistant",
"content": "<reasoning>\n455 mod 128: 455 = 128 × 3 + 71, so remainder = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 928 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 928 × (1 - 20/100) = 928 × 0.8 = 742.4.\n</reasoning>\nFinal Answer: 742.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:48 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/48, so B = A × (48/37) = 68 × 48/37 = 88.2162.\n</reasoning>\nFinal Answer: 88.2162"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:42 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/42, so B = A × (42/19) = 48 × 42/19 = 106.1053.\n</reasoning>\nFinal Answer: 106.1053"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 14, 76, 49, 74, 34, 72, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 14: 1, 76: 1, 49: 1, 74: 1, 34: 1, 72: 1, 48: 1}. Most frequent: [78, 14, 76, 49, 74, 34, 72, 48].\n</reasoning>\nFinal Answer: [78, 14,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 536 km apart. Their speeds are 88 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+54=142 km/h. Time = 536/142 = 3.7746 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 184 km/h. How far does it travel in 3 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 35/60 = 3.5833 hours. Distance = speed × time = 184 × 3.5833 = 659.3333 km.\n</reasoning>\nFinal Answer: 659.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -629 ÷ -474"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -629 by -474. -629 ÷ -474 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 15 and 92."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(15,92) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 30 = 2040.\n</reasoning>\nFinal Answer: 2040"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 309 + 334"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 309 and 334: 309 + 334 = 643.\n</reasoning>\nFinal Answer: 643"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 3% of 563?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 563 = (3/100) × 563 = 16.89.\n</reasoning>\nFinal Answer: 16.89"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 37 = 2553.\n</reasoning>\nFinal Answer: 2553"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 52 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 52 × 96 = 4992.\n</reasoning>\nFinal Answer: 4992"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 48 = -1083"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 29x = -1131. Divide by 29: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 436 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 436 × (1 - 3/100) = 436 × 0.97 = 422.92.\n</reasoning>\nFinal Answer: 422.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 8, 14, 20, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 6. Next term = 26 + 6 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 / 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/11) ÷ (1/15) = (6/11) × (15/1) = 90/11.\n</reasoning>\nFinal Answer: 90/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-28)x + (98) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×2×98 = 0. √discriminant = 0. x = (-(-28) ± 0) / (2×2). Solutions: x = 7 (double root).\n</reasoning>\nFinal Answer: x = 7 (double root... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 682 - 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 125 from 682: 682 - 125 = 557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [26, 56, 96, 46, 43, 2, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 318/7 = 45.4286.\n</reasoning>\nFinal Answer: 45.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 655 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 655 × (1 + 50/100) = 655 × 1.5 = 982.5.\n</reasoning>\nFinal Answer: 982.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -841 × -297"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -841 by -297: -841 × -297 = 249777.\n</reasoning>\nFinal Answer: 249777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 697 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 697 × (1 - 5/100) = 697 × 0.95 = 662.15.\n</reasoning>\nFinal Answer: 662.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:28 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/28, so B = A × (28/27) = 67 × 28/27 = 69.4815.\n</reasoning>\nFinal Answer: 69.4815"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:45 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/45, so B = A × (45/24) = 71 × 45/24 = 133.125.\n</reasoning>\nFinal Answer: 133.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -25 = 723"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 22x = 748. Divide by 22: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 15 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 45+225-50=220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 + 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/7 + 2/18. Common denominator = 63. Result = 61/63.\n</reasoning>\nFinal Answer: 61/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "66 is what percentage of 422?"
},
{
"role": "assistant",
"content": "<reasoning>\n(66/422) × 100 = 15.6398%.\n</reasoning>\nFinal Answer: 15.6398%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -50 = 934"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 24x = 984. Divide by 24: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 890 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 890 × (1 + 12/100) = 890 × 1.12 = 996.8.\n</reasoning>\nFinal Answer: 996.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 958 - 172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 172 from 958: 958 - 172 = 786.\n</reasoning>\nFinal Answer: 786"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 18, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (48-1)×18 = 48 + 846 = 894.\n</reasoning>\nFinal Answer: 894"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+10) = 2×28 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "3 is what percentage of 550?"
},
{
"role": "assistant",
"content": "<reasoning>\n(3/550) × 100 = 0.5455%.\n</reasoning>\nFinal Answer: 0.5455%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:34 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/34, so B = A × (34/43) = 30 × 34/43 = 23.7209.\n</reasoning>\nFinal Answer: 23.7209"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -782 × -42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -782 by -42: -782 × -42 = 32844.\n</reasoning>\nFinal Answer: 32844"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:34 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/34, so B = A × (34/9) = 79 × 34/9 = 298.4444.\n</reasoning>\nFinal Answer: 298.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 15 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+15) × 6 = 156.0.\n</reasoning>\nFinal Answer: 156.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [4, 85, 77, 18, 34, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 4 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "284 is what percentage of 306?"
},
{
"role": "assistant",
"content": "<reasoning>\n(284/306) × 100 = 92.8105%.\n</reasoning>\nFinal Answer: 92.8105%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 9 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 9 = 63 worker-days. New time = 63 / 15 = 4.2 days.\n</reasoning>\nFinal Answer: 4.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 115 + -625"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 115 and -625: 115 + -625 = -510.\n</reasoning>\nFinal Answer: -510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 118 ÷ 953"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 118 by 953. 118 ÷ 953 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+78) = 2×134 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×23)/1 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 31, 64, 46, 1, 54, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 281/7 = 40.1429.\n</reasoning>\nFinal Answer: 40.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 838 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 838 × (1 + 90/100) = 838 × 1.9 = 1592.2.\n</reasoning>\nFinal Answer: 1592.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 731 - 945"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 945 from 731: 731 - 945 = -214.\n</reasoning>\nFinal Answer: -214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 603 km apart. Their speeds are 106 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+116=222 km/h. Time = 603/222 = 2.7162 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 96?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 96 = (40/100) × 96 = 38.4.\n</reasoning>\nFinal Answer: 38.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47544 at 20% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47544 × 20 × 2 / 100 = 19017.6.\n</reasoning>\nFinal Answer: 19017.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 6, 11, 18] and B = [2, 4, 12, 16, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 18].\n</reasoning>\nFinal Answer: [2, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+98) = 2×170 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -552 mod 988"
},
{
"role": "assistant",
"content": "<reasoning>\n-552 mod 988: -552 = 988 × -1 + 436, so remainder = 436.\n</reasoning>\nFinal Answer: 436"
}
] | medium | [
"arithmetic",
"computation"
] |
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