messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 21 * 4 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×4=84, then 35+84-12=107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 + 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/17 + 17/2. Common denominator = 34. Result = 301/34.\n</reasoning>\nFinal Answer: 301/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [3, 32, 77, 6, 59, 1, 96, 6, 11, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {3: 1, 32: 1, 77: 1, 6: 2, 59: 1, 1: 1, 96: 1, 11: 1, 44: 1}. Most frequent: 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 38 + -76"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 38 and -76: 38 + -76 = -38.\n</reasoning>\nFinal Answer: -38"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 10, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (42-1)×10 = 30 + 410 = 440.\n</reasoning>\nFinal Answer: 440"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 + 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/7 + 14/1. Common denominator = 7. Result = 116/7.\n</reasoning>\nFinal Answer: 116/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 383 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 383 × (1 - 45/100) = 383 × 0.55 = 210.65.\n</reasoning>\nFinal Answer: 210.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/8 * 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/8) × (4/13) = (48/104) = 6/13 after simplification.\n</reasoning>\nFinal Answer: 6/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 / 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/11) ÷ (5/3) = (19/11) × (3/5) = 57/55.\n</reasoning>\nFinal Answer: 57/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 842 - -962"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -962 from 842: 842 - -962 = 1804.\n</reasoning>\nFinal Answer: 1804"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -7 = 829"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 19x = 836. Divide by 19: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 0 = -96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 12x = -96. Divide by 12: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -130 mod -726"
},
{
"role": "assistant",
"content": "<reasoning>\n-130 mod -726: -130 = -726 × 0 + -130, so remainder = -130.\n</reasoning>\nFinal Answer: -130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -710 + -208"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -710 and -208: -710 + -208 = -918.\n</reasoning>\nFinal Answer: -918"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 * 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/18) × (3/10) = (9/180) = 1/20 after simplification.\n</reasoning>\nFinal Answer: 1/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 192?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 192 = (65/100) × 192 = 124.8.\n</reasoning>\nFinal Answer: 124.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 817?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 817 = (65/100) × 817 = 531.05.\n</reasoning>\nFinal Answer: 531.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 / 2/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/20) ÷ (2/11) = (2/20) × (11/2) = 11/20.\n</reasoning>\nFinal Answer: 11/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 29 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 29 = 232 worker-days. New time = 232 / 18 = 12.8889 days.\n</reasoning>\nFinal Answer: 12.8889"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -35 = 685"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 18x = 720. Divide by 18: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 532 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 532 × (1 - 90/100) = 532 × 0.09999999999999998 = 53.2.\n</reasoning>\nFinal Answer: 53.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 820 - -844"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -844 from 820: 820 - -844 = 1664.\n</reasoning>\nFinal Answer: 1664"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -46 = 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 4x = 112. Divide by 4: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 40 = -618"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 14x = -658. Divide by 14: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 135 km apart. Their speeds are 101 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+98=199 km/h. Time = 135/199 = 0.6784 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 12, 13, 15, 16, 18] and B = [2, 5, 12, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 8, 13, 15, 16].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×28)/2 = 532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 63, 43, 83, 69, 17, 5, 5, 83, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 63: 1, 43: 1, 83: 2, 69: 1, 17: 1, 5: 2, 78: 1}. Most frequent: [83, 5].\n</reasoning>\nFinal Answer: [83, 5]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 50 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 15+2500-48=2467.\n</reasoning>\nFinal Answer: 2467"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 3 = -247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 25x = -250. Divide by 25: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [74, 89, 45, 62, 3, 76, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {74: 1, 89: 1, 45: 1, 62: 1, 3: 1, 76: 1, 87: 1}. Most frequent: [74, 89, 45, 62, 3, 76, 87].\n</reasoning>\nFinal Answer: [74, 89, 45, 62, 3, 76, 87... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 628 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 628 × (1 - 65/100) = 628 × 0.35 = 219.8.\n</reasoning>\nFinal Answer: 219.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 307 × 285"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 307 by 285: 307 × 285 = 87495.\n</reasoning>\nFinal Answer: 87495"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 39, 31, 22, 70, 70, 56, 95, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 22 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 31 = 877"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 18x = 846. Divide by 18: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 90, 8, 22, 41, 95, 70, 43, 68, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 13, 22, 41, 43, 68, 70, 83, 90, 95]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49054 at 8% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49054 × 8 × 5 / 100 = 19621.6.\n</reasoning>\nFinal Answer: 19621.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 19, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (18-1)×19 = 12 + 323 = 335.\n</reasoning>\nFinal Answer: 335"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -43 = 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 13x = 143. Divide by 13: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 901 - 221"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 221 from 901: 901 - 221 = 680.\n</reasoning>\nFinal Answer: 680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 48, 95, 11, 93, 73, 5, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 48: 1, 95: 1, 11: 1, 93: 1, 73: 1, 5: 1, 76: 1}. Most frequent: [87, 48, 95, 11, 93, 73, 5, 76].\n</reasoning>\nFinal Answer: [87, 48, 95... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 16, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 16 + 23 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:44 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/44, so B = A × (44/47) = 94 × 44/47 = 88.0.\n</reasoning>\nFinal Answer: 88.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 7 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 57/60 = 7.9500 hours. Distance = speed × time = 46 × 7.9500 = 365.7 km.\n</reasoning>\nFinal Answer: 365.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 + 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/17 + 10/3. Common denominator = 51. Result = 218/51.\n</reasoning>\nFinal Answer: 218/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 125 apples and buys 125 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 125 + 125 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 3 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+3) × 29 = 203.0.\n</reasoning>\nFinal Answer: 203.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×49)/1 = 1323.\n</reasoning>\nFinal Answer: 1323"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 88 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 88 × 13 = 1144.\n</reasoning>\nFinal Answer: 1144"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 50, 65, 75, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 294/5 = 58.8.\n</reasoning>\nFinal Answer: 58.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 20/19 / 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/19) ÷ (19/19) = (20/19) × (19/19) = 20/19.\n</reasoning>\nFinal Answer: 20/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 11 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 6+121-12=115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 40 and 61."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(40,61) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 + 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/11 + 11/17. Common denominator = 187. Result = 325/187.\n</reasoning>\nFinal Answer: 325/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 - 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/10 - 19/10. LCD = 10. Result = 1/10.\n</reasoning>\nFinal Answer: 1/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 7 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 7 = 126 worker-days. New time = 126 / 5 = 25.2 days.\n</reasoning>\nFinal Answer: 25.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 / 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/2) ÷ (20/18) = (2/2) × (18/20) = 9/10.\n</reasoning>\nFinal Answer: 9/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 * 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/3) × (16/12) = (16/36) = 4/9 after simplification.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -223 mod -916"
},
{
"role": "assistant",
"content": "<reasoning>\n-223 mod -916: -223 = -916 × 0 + -223, so remainder = -223.\n</reasoning>\nFinal Answer: -223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 6) * (28 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+6)=18, (28-43)=-15, then 18×-15=-270.\n</reasoning>\nFinal Answer: -270"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -4 = 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 2x = 30. Divide by 2: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -11 = 772"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 29x = 783. Divide by 29: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 28 * 11 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×11=308, then 26+308-13=321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 28 + 28 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×28=1148 and 28×42=1176, then add: 2324.\n</reasoning>\nFinal Answer: 2324"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 373 mod -812"
},
{
"role": "assistant",
"content": "<reasoning>\n373 mod -812: 373 = -812 × -1 + -439, so remainder = -439.\n</reasoning>\nFinal Answer: -439"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 40 = 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 4x = 140. Divide by 4: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/7 + 11/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/7 + 11/6. Common denominator = 42. Result = 131/42.\n</reasoning>\nFinal Answer: 131/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 1, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (22-1)×1 = 8 + 21 = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+70) = 2×117 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 21 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 21 = 378 worker-days. New time = 378 / 20 = 18.9 days.\n</reasoning>\nFinal Answer: 18.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 8) * (1 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+8)=22, (1-48)=-47, then 22×-47=-1034.\n</reasoning>\nFinal Answer: -1034"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [4, 94, 28, 48, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 4 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "154 is what percentage of 778?"
},
{
"role": "assistant",
"content": "<reasoning>\n(154/778) × 100 = 19.7943%.\n</reasoning>\nFinal Answer: 19.7943%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -770 mod -493"
},
{
"role": "assistant",
"content": "<reasoning>\n-770 mod -493: -770 = -493 × 1 + -277, so remainder = -277.\n</reasoning>\nFinal Answer: -277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -25 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 9x = 72. Divide by 9: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 243 ÷ 824"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 243 by 824. 243 ÷ 824 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:43 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/43, so B = A × (43/41) = 51 × 43/41 = 53.4878.\n</reasoning>\nFinal Answer: 53.4878"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 13, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (23-1)×13 = 16 + 286 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 * 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/20) × (19/10) = (133/200) = 133/200 after simplification.\n</reasoning>\nFinal Answer: 133/200"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 18, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (33-1)×18 = 31 + 576 = 607.\n</reasoning>\nFinal Answer: 607"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 72, 92, 11, 16, 16, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 72: 1, 92: 1, 11: 1, 16: 2, 100: 1}. Most frequent: 16.\n</reasoning>\nFinal Answer: 16"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 / 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/14) ÷ (5/4) = (16/14) × (4/5) = 32/35.\n</reasoning>\nFinal Answer: 32/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:22 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/22, so B = A × (22/16) = 16 × 22/16 = 22.0.\n</reasoning>\nFinal Answer: 22.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 137 ÷ 55"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 137 by 55. 137 ÷ 55 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 27 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+27) × 11 = 231.0.\n</reasoning>\nFinal Answer: 231.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 534 km apart. Their speeds are 52 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+89=141 km/h. Time = 534/141 = 3.7872 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 16, 22, 100, 57, 64, 85, 89, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 22, 57, 64, 69, 85, 89, 98, 100]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -22 = 978"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 20x = 1000. Divide by 20: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 8, 14] and B = [13, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹4055. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4055 × 28/100 = 1135.4. Total = 4055 + 1135.4 = 5190.4.\n</reasoning>\nFinal Answer: 5190.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 20, 27, 33, 54, 10, 67, 85, 26, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 2, 20: 1, 27: 1, 33: 1, 54: 1, 10: 1, 67: 1, 85: 1, 35: 1}. Most frequent: 26.\n</reasoning>\nFinal Answer: 26"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 50% of 527?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 527 = (50/100) × 527 = 263.5.\n</reasoning>\nFinal Answer: 263.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -276 ÷ -742"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -276 by -742. -276 ÷ -742 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -39 = -305"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 19x = -266. Divide by 19: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -37 = -271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 18x = -234. Divide by 18: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 36 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 1x = -5. Divide by 1: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 38 = -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 13x = -273. Divide by 13: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/20 / 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/20) ÷ (18/19) = (10/20) × (19/18) = 19/36.\n</reasoning>\nFinal Answer: 19/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -79 - 783"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 783 from -79: -79 - 783 = -862.\n</reasoning>\nFinal Answer: -862"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 31 = 2170.\n</reasoning>\nFinal Answer: 2170"
}
] | easy | [
"geometry",
"area"
] |
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