messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -599 - -569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -569 from -599: -599 - -569 = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -75 + 443"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -75 and 443: -75 + 443 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 257 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 257 × (1 - 3/100) = 257 × 0.97 = 249.29.\n</reasoning>\nFinal Answer: 249.29"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 19 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 19 = 342 worker-days. New time = 342 / 12 = 28.5 days.\n</reasoning>\nFinal Answer: 28.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹838. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 838 × 5/100 = 41.9. Total = 838 + 41.9 = 879.9.\n</reasoning>\nFinal Answer: 879.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 63 = 1890.\n</reasoning>\nFinal Answer: 1890"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -37 = -469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 24x = -432. Divide by 24: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 91, 100, 74, 26, 13, 24, 54, 20, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 7 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:17 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/17, so B = A × (17/49) = 19 × 17/49 = 6.5918.\n</reasoning>\nFinal Answer: 6.5918"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "193 is what percentage of 280?"
},
{
"role": "assistant",
"content": "<reasoning>\n(193/280) × 100 = 68.9286%.\n</reasoning>\nFinal Answer: 68.9286%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:33 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/33, so B = A × (33/50) = 36 × 33/50 = 23.76.\n</reasoning>\nFinal Answer: 23.76"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:31 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/31, so B = A × (31/3) = 27 × 31/3 = 279.0.\n</reasoning>\nFinal Answer: 279.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 334 ÷ -37"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 334 by -37. 334 ÷ -37 = -10 (integer division).\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 19 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 19 = 380 worker-days. New time = 380 / 18 = 21.1111 days.\n</reasoning>\nFinal Answer: 21.1111"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×7)/1 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 760 ÷ 459"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 760 by 459. 760 ÷ 459 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 39) * (39 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+39)=71, (39-40)=-1, then 71×-1=-71.\n</reasoning>\nFinal Answer: -71"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 30, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 30 + 33 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 85 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(85+1) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "258 is what percentage of 317?"
},
{
"role": "assistant",
"content": "<reasoning>\n(258/317) × 100 = 81.388%.\n</reasoning>\nFinal Answer: 81.388%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 61 = 3721.\n</reasoning>\nFinal Answer: 3721"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 156 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(156,8) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 45) * (15 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+45)=56, (15-27)=-12, then 56×-12=-672.\n</reasoning>\nFinal Answer: -672"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 7, 8, 9, 10, 12, 19] and B = [8, 9, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 7, 10, 12].\n</reasoning>\nFinal Answer: [1, 4, 7, 10, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 45, 76, 50, 33, 33, 90, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 45: 1, 76: 1, 50: 1, 33: 2, 90: 1, 8: 1}. Most frequent: 33.\n</reasoning>\nFinal Answer: 33"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -854 + 17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -854 and 17: -854 + 17 = -837.\n</reasoning>\nFinal Answer: -837"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 11 = -129"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 5x = -140. Divide by 5: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 * 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/19) × (7/16) = (63/304) = 63/304 after simplification.\n</reasoning>\nFinal Answer: 63/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 32 = 496.0.\n</reasoning>\nFinal Answer: 496.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 147 km/h. How far does it travel in 9 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 45/60 = 9.7500 hours. Distance = speed × time = 147 × 9.7500 = 1433.25 km.\n</reasoning>\nFinal Answer: 1433.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -732 - -910"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -910 from -732: -732 - -910 = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 34 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 21+1156-50=1127.\n</reasoning>\nFinal Answer: 1127"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 582 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 582 × (1 - 5/100) = 582 × 0.95 = 552.9.\n</reasoning>\nFinal Answer: 552.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 1 = -779"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 26x = -780. Divide by 26: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 56, 30, 54, 41, 37, 18, 47, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 314/9 = 34.8889.\n</reasoning>\nFinal Answer: 34.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 42) * (39 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+42)=64, (39-10)=29, then 64×29=1856.\n</reasoning>\nFinal Answer: 1856"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 58, 1, 63, 20, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 300/6 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 - 3/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/20 - 3/1. LCD = 20. Result = -51/20.\n</reasoning>\nFinal Answer: -51/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 9, 12, 15, 18, 19] and B = [5, 11, 12, 13, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 9, 11, 13, 14, 15, 18, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -18 = -42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 3x = -24. Divide by 3: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -317 ÷ -187"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -317 by -187. -317 ÷ -187 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 50 + 13 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×50=1450 and 13×25=325, then add: 1775.\n</reasoning>\nFinal Answer: 1775"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 32) * (2 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+32)=78, (2-39)=-37, then 78×-37=-2886.\n</reasoning>\nFinal Answer: -2886"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -214 + -534"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -214 and -534: -214 + -534 = -748.\n</reasoning>\nFinal Answer: -748"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 27 * 29 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×29=783, then 14+783-49=748.\n</reasoning>\nFinal Answer: 748"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 321 mod -339"
},
{
"role": "assistant",
"content": "<reasoning>\n321 mod -339: 321 = -339 × -1 + -18, so remainder = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 38, 76, 53, 22, 44, 44, 39, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 421/9 = 46.7778.\n</reasoning>\nFinal Answer: 46.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 12, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (33-1)×12 = 15 + 384 = 399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31246 at 10% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31246 × 10 × 9 / 100 = 28121.4.\n</reasoning>\nFinal Answer: 28121.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 15, 77, 8, 48, 84, 74, 50, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 15, 48, 50, 74, 77, 81, 84, 89]. Middle value(s) → median = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 42."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 42 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 98, 57, 24, 49, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 98: 1, 57: 1, 24: 1, 49: 1, 74: 1}. Most frequent: [87, 98, 57, 24, 49, 74].\n</reasoning>\nFinal Answer: [87, 98, 57, 24, 49, 74]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 796 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 796 × (1 - 20/100) = 796 × 0.8 = 636.8.\n</reasoning>\nFinal Answer: 636.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 10% of 805?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 805 = (10/100) × 805 = 80.5.\n</reasoning>\nFinal Answer: 80.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 73 km/h. How far does it travel in 2 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 19/60 = 2.3167 hours. Distance = speed × time = 73 × 2.3167 = 169.1167 km.\n</reasoning>\nFinal Answer: 169.1167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 41 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 37+1681-49=1669.\n</reasoning>\nFinal Answer: 1669"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 36 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 38+1296-6=1328.\n</reasoning>\nFinal Answer: 1328"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×47)/1 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 976 km apart. Their speeds are 72 km/h and 59 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+59=131 km/h. Time = 976/131 = 7.4504 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29214 at 7% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29214 × 7 × 2 / 100 = 4089.96.\n</reasoning>\nFinal Answer: 4089.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 30 * 1 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×1=30, then 27+30-9=48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 * 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/10) × (5/6) = (55/60) = 11/12 after simplification.\n</reasoning>\nFinal Answer: 11/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×47)/1 = 1363.\n</reasoning>\nFinal Answer: 1363"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "List all positive factors of 78."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 78: factors are [1, 2, 3, 6, 13, 26, 39, 78].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 13, 26, 39, 78]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "181 is what percentage of 254?"
},
{
"role": "assistant",
"content": "<reasoning>\n(181/254) × 100 = 71.2598%.\n</reasoning>\nFinal Answer: 71.2598%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -49 = -809"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 19x = -760. Divide by 19: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 44) * (13 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+44)=53, (13-40)=-27, then 53×-27=-1431.\n</reasoning>\nFinal Answer: -1431"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 106 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 106 = 293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (12)x + (10) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×2×10 = 64. √discriminant = 8. x = (-(12) ± 8) / (2×2). Solutions: x = -1 or x = -5.\n</reasoning>\nFinal Answer: x = -1 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 517 km apart. Their speeds are 105 km/h and 119 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+119=224 km/h. Time = 517/224 = 2.308 hours.\n</reasoning>\nFinal Ans... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 * 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/14) × (16/2) = (80/28) = 20/7 after simplification.\n</reasoning>\nFinal Answer: 20/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 20% of 927?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 927 = (20/100) × 927 = 185.4.\n</reasoning>\nFinal Answer: 185.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×17)/1 = 663.\n</reasoning>\nFinal Answer: 663"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 80% of 399?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 399 = (80/100) × 399 = 319.2.\n</reasoning>\nFinal Answer: 319.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 40 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 2+1600-38=1564.\n</reasoning>\nFinal Answer: 1564"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 / 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/11) ÷ (20/2) = (18/11) × (2/20) = 9/55.\n</reasoning>\nFinal Answer: 9/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:24 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/24, so B = A × (24/36) = 51 × 24/36 = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 958 + 216"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 958 and 216: 958 + 216 = 1174.\n</reasoning>\nFinal Answer: 1174"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37294 at 3% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37294 × 3 × 8 / 100 = 8950.56.\n</reasoning>\nFinal Answer: 8950.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -143 mod 423"
},
{
"role": "assistant",
"content": "<reasoning>\n-143 mod 423: -143 = 423 × -1 + 280, so remainder = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -33 = -517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 22x = -484. Divide by 22: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -296 × -838"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -296 by -838: -296 × -838 = 248048.\n</reasoning>\nFinal Answer: 248048"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×17)/1 = 646.\n</reasoning>\nFinal Answer: 646"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 801 mod -693"
},
{
"role": "assistant",
"content": "<reasoning>\n801 mod -693: 801 = -693 × -2 + -585, so remainder = -585.\n</reasoning>\nFinal Answer: -585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 44 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (44×45)/1 = 1980.\n</reasoning>\nFinal Answer: 1980"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 88 = 616.\n</reasoning>\nFinal Answer: 616"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 41 * 31 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×31=1271, then 4+1271-16=1259.\n</reasoning>\nFinal Answer: 1259"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -901 - 90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 90 from -901: -901 - 90 = -991.\n</reasoning>\nFinal Answer: -991"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 4 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 7+16-19=4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 41 = 2542.\n</reasoning>\nFinal Answer: 2542"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 26."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 26 by smallest primes repeatedly: 26 = 2 × 13.\n</reasoning>\nFinal Answer: 2 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 4, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (38-1)×4 = 43 + 148 = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 70 apples and buys 168 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 70 + 168 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 676 × -437"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 676 by -437: 676 × -437 = -295412.\n</reasoning>\nFinal Answer: -295412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 516 - 322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 322 from 516: 516 - 322 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 13, 15, 17, 19] and B = [1, 4, 13, 14, 15, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 12, 17, 19].\n</reasoning>\nFinal Answer: [5, 12, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 699 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 699 × (1 + 100/100) = 699 × 2.0 = 1398.0.\n</reasoning>\nFinal Answer: 1398.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 - 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/15 - 5/17. LCD = 85. Result = 26/85.\n</reasoning>\nFinal Answer: 26/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 148 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(148,100) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -126 - -230"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -230 from -126: -126 - -230 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"arithmetic",
"computation"
] |
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