messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 14 * 18 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×18=252, then 43+252-2=293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -46 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 15x = 105. Divide by 15: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:22 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/22, so B = A × (22/17) = 66 × 22/17 = 85.4118.\n</reasoning>\nFinal Answer: 85.4118"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -461 mod 539"
},
{
"role": "assistant",
"content": "<reasoning>\n-461 mod 539: -461 = 539 × -1 + 78, so remainder = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 9 * 39 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×39=351, then 19+351-33=337.\n</reasoning>\nFinal Answer: 337"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 0 = 198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 11x = 198. Divide by 11: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30168 at 4% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30168 × 4 × 2 / 100 = 2413.44.\n</reasoning>\nFinal Answer: 2413.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 91 = 1183.0.\n</reasoning>\nFinal Answer: 1183.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 - 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/2 - 17/4. LCD = 4. Result = 17/4.\n</reasoning>\nFinal Answer: 17/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 - 17/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/17 - 17/16. LCD = 272. Result = -225/272.\n</reasoning>\nFinal Answer: -225/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 155 km apart. Their speeds are 83 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+89=172 km/h. Time = 155/172 = 0.9012 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 1) * (42 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+1)=17, (42-41)=1, then 17×1=17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the square root of 361."
},
{
"role": "assistant",
"content": "<reasoning>\n√361 = 19 because 19² = 361.\n</reasoning>\nFinal Answer: 19"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 6 = 591"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 13x = 585. Divide by 13: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 17 apples and buys 56 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 17 + 56 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -31 = -373"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 9x = -342. Divide by 9: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 638 - 868"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 868 from 638: 638 - 868 = -230.\n</reasoning>\nFinal Answer: -230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 168 apples and buys 179 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 168 + 179 = 347.\n</reasoning>\nFinal Answer: 347"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 41 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 41 × (1 + 45/100) = 41 × 1.45 = 59.45.\n</reasoning>\nFinal Answer: 59.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 696 × -277"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 696 by -277: 696 × -277 = -192792.\n</reasoning>\nFinal Answer: -192792"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 9, 71, 42, 5, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 247/6 = 41.1667.\n</reasoning>\nFinal Answer: 41.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 86 = 4300.0.\n</reasoning>\nFinal Answer: 4300.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 27 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 27 × 52 = 1404.\n</reasoning>\nFinal Answer: 1404"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 16 and 172."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(16,172) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 14, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (27-1)×14 = 45 + 364 = 409.\n</reasoning>\nFinal Answer: 409"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 8, 12, 16, 18] and B = [1, 2, 4, 5, 7, 9, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 7].\n</reasoning>\nFinal Answer: [2, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 812 ÷ 955"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 812 by 955. 812 ÷ 955 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:38 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/38, so B = A × (38/24) = 21 × 38/24 = 33.25.\n</reasoning>\nFinal Answer: 33.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 - 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/16 - 7/20. LCD = 80. Result = 47/80.\n</reasoning>\nFinal Answer: 47/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -45 = 547"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 16x = 592. Divide by 16: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -947 + 191"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -947 and 191: -947 + 191 = -756.\n</reasoning>\nFinal Answer: -756"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23768 at 15% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23768 × 15 × 7 / 100 = 24956.4.\n</reasoning>\nFinal Answer: 24956.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -968 - -739"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -739 from -968: -968 - -739 = -229.\n</reasoning>\nFinal Answer: -229"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -223 - 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 95 from -223: -223 - 95 = -318.\n</reasoning>\nFinal Answer: -318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48489 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48489 × 3 × 4 / 100 = 5818.68.\n</reasoning>\nFinal Answer: 5818.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 720 + 268"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 720 and 268: 720 + 268 = 988.\n</reasoning>\nFinal Answer: 988"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 23, 37, 24, 43, 31, 90, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 23: 1, 37: 1, 24: 1, 43: 1, 31: 1, 90: 1, 82: 1}. Most frequent: [57, 23, 37, 24, 43, 31, 90, 82].\n</reasoning>\nFinal Answer: [57, 23,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×7)/1 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 38 = 684.0.\n</reasoning>\nFinal Answer: 684.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20252 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20252 × 17 × 3 / 100 = 10328.52.\n</reasoning>\nFinal Answer: 10328.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:1 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/1, so B = A × (1/17) = 71 × 1/17 = 4.1765.\n</reasoning>\nFinal Answer: 4.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 * 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/8) × (12/12) = (48/96) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 32 + 1 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×32=672 and 1×15=15, then add: 687.\n</reasoning>\nFinal Answer: 687"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 - 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/11 - 18/2. LCD = 11. Result = -92/11.\n</reasoning>\nFinal Answer: -92/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 26 = 532"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 22x = 506. Divide by 22: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Is 166 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n166 = 2 × 83, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 761 km apart. Their speeds are 65 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+102=167 km/h. Time = 761/167 = 4.5569 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 65, 95, 43, 18, 51, 3, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 65: 1, 95: 1, 43: 1, 18: 1, 51: 1, 3: 1, 50: 1}. Most frequent: [19, 65, 95, 43, 18, 51, 3, 50].\n</reasoning>\nFinal Answer: [19, 65, 95... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 26 + 3 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×26=1222 and 3×3=9, then add: 1231.\n</reasoning>\nFinal Answer: 1231"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 15 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 23x = 391. Divide by 23: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 43, 7, 46, 15, 15, 32, 72, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 43: 1, 7: 1, 46: 1, 15: 2, 32: 1, 72: 1, 71: 1}. Most frequent: 15.\n</reasoning>\nFinal Answer: 15"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 15/4 + 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/4 + 20/14. Common denominator = 28. Result = 145/28.\n</reasoning>\nFinal Answer: 145/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 21 = 496"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 19x = 475. Divide by 19: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 755 ÷ -963"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 755 by -963. 755 ÷ -963 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 62 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(62+99) = 2×161 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+92) = 2×144 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 30 * 12 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×12=360, then 8+360-33=335.\n</reasoning>\nFinal Answer: 335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 67 ÷ 503"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 67 by 503. 67 ÷ 503 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 36 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 45+1296-39=1302.\n</reasoning>\nFinal Answer: 1302"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/16 * 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/16) × (16/6) = (48/96) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 + 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/18 + 18/12. Common denominator = 6. Result = 13/6.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 45% of 716?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 716 = (45/100) × 716 = 322.2.\n</reasoning>\nFinal Answer: 322.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 9 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 10/19 = 0.5263.\n</reasoning>\nFinal Answer: 0.5263"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 35 = -1187"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 26x = -1222. Divide by 26: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 163 km/h. How far does it travel in 6 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 7/60 = 6.1167 hours. Distance = speed × time = 163 × 6.1167 = 997.0167 km.\n</reasoning>\nFinal Answer: 997.0167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 8 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 10+64-3=71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -562 mod -126"
},
{
"role": "assistant",
"content": "<reasoning>\n-562 mod -126: -562 = -126 × 4 + -58, so remainder = -58.\n</reasoning>\nFinal Answer: -58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 24 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 24 = 240 worker-days. New time = 240 / 3 = 80.0 days.\n</reasoning>\nFinal Answer: 80.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 23 = -1033"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 24x = -1056. Divide by 24: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 7, 8, 12, 14, 15] and B = [8, 11, 12, 14, 15, 17, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 5, 7].\n</reasoning>\nFinal Answer: [2, 3, 5, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 937 - 828"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 828 from 937: 937 - 828 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 3 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 2x = -2. Divide by 2: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 + 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/18 + 1/11. Common denominator = 99. Result = 97/99.\n</reasoning>\nFinal Answer: 97/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 196 and 70."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(196,70) = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -480 mod -250"
},
{
"role": "assistant",
"content": "<reasoning>\n-480 mod -250: -480 = -250 × 1 + -230, so remainder = -230.\n</reasoning>\nFinal Answer: -230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -451 mod 622"
},
{
"role": "assistant",
"content": "<reasoning>\n-451 mod 622: -451 = 622 × -1 + 171, so remainder = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -27 = 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 21x = 105. Divide by 21: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 914 + -320"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 914 and -320: 914 + -320 = 594.\n</reasoning>\nFinal Answer: 594"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 20 * 40 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×40=800, then 37+800-43=794.\n</reasoning>\nFinal Answer: 794"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 49, 63, 40, 37, 10, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 25, 37, 40, 49, 63, 76]. Middle value(s) → median = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -40 = 394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 14x = 434. Divide by 14: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 14 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 45+196-20=221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 22 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 15+484-23=476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 193 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(193,136) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 758 - 327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 327 from 758: 758 - 327 = 431.\n</reasoning>\nFinal Answer: 431"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -4 = 141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 29x = 145. Divide by 29: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -45 = 1151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 26x = 1196. Divide by 26: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 41, 69, 80, 100, 37, 14, 49, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 14 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -368 - 332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 332 from -368: -368 - 332 = -700.\n</reasoning>\nFinal Answer: -700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 640 × -639"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 640 by -639: 640 × -639 = -408960.\n</reasoning>\nFinal Answer: -408960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 128 apples and buys 101 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 128 + 101 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:40 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/40, so B = A × (40/40) = 59 × 40/40 = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 49 * 12 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×12=588, then 39+588-12=615.\n</reasoning>\nFinal Answer: 615"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 39 = 336"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 11x = 297. Divide by 11: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:36 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/36, so B = A × (36/8) = 16 × 36/8 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 - 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/20 - 9/3. LCD = 20. Result = -51/20.\n</reasoning>\nFinal Answer: -51/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 132 apples and buys 177 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 132 + 177 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 8 + 13 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×8=360 and 13×38=494, then add: 854.\n</reasoning>\nFinal Answer: 854"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 142 km/h. How far does it travel in 3 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 31/60 = 3.5167 hours. Distance = speed × time = 142 × 3.5167 = 499.3667 km.\n</reasoning>\nFinal Answer: 499.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "554 is what percentage of 713?"
},
{
"role": "assistant",
"content": "<reasoning>\n(554/713) × 100 = 77.6999%.\n</reasoning>\nFinal Answer: 77.6999%"
}
] | medium | [
"percentage",
"ratio"
] |
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