messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 406 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 406 × (1 - 45/100) = 406 × 0.55 = 223.3.\n</reasoning>\nFinal Answer: 223.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 177 apples and buys 51 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 177 + 51 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 25, 40, 81, 93, 71, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 440/7 = 62.8571.\n</reasoning>\nFinal Answer: 62.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 550 × -211"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 550 by -211: 550 × -211 = -116050.\n</reasoning>\nFinal Answer: -116050"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 27 + 21 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×27=729 and 21×5=105, then add: 834.\n</reasoning>\nFinal Answer: 834"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 56, 28, 85, 51, 19, 73, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 429/8 = 53.625.\n</reasoning>\nFinal Answer: 53.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 3/9 + 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/9 + 10/2. Common denominator = 3. Result = 16/3.\n</reasoning>\nFinal Answer: 16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×24)/1 = 984.\n</reasoning>\nFinal Answer: 984"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹4245. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4245 × 18/100 = 764.1. Total = 4245 + 764.1 = 5009.1.\n</reasoning>\nFinal Answer: 5009.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49528 at 6% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49528 × 6 × 6 / 100 = 17830.08.\n</reasoning>\nFinal Answer: 17830.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2640. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2640 × 28/100 = 739.2. Total = 2640 + 739.2 = 3379.2.\n</reasoning>\nFinal Answer: 3379.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 1. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 1 ≈ 6.2832.\n</reasoning>\nFinal Answer: 6.2832"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 1, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (35-1)×1 = 26 + 34 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 37 = -19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 2x = -56. Divide by 2: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 60 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 60 × 73 = 4380.\n</reasoning>\nFinal Answer: 4380"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 12, 13, 16, 17, 18] and B = [2, 4, 10, 13, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 13, 17].\n</reasoning>\nFinal Answer: [2, 13, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 46) * (25 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+46)=65, (25-8)=17, then 65×17=1105.\n</reasoning>\nFinal Answer: 1105"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 / 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/7) ÷ (7/5) = (14/7) × (5/7) = 10/7.\n</reasoning>\nFinal Answer: 10/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 86 = 1204.0.\n</reasoning>\nFinal Answer: 1204.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×45)/1 = 1305.\n</reasoning>\nFinal Answer: 1305"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 912 mod -87"
},
{
"role": "assistant",
"content": "<reasoning>\n912 mod -87: 912 = -87 × -11 + -45, so remainder = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [74, 24, 97, 5, 7, 97, 52, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 7, 24, 25, 52, 74, 97, 97]. Middle value(s) → median = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 12, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (26-1)×12 = 10 + 300 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:35 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/35, so B = A × (35/16) = 1 × 35/16 = 2.1875.\n</reasoning>\nFinal Answer: 2.1875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 28 = -110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 23x = -138. Divide by 23: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -849 - 791"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 791 from -849: -849 - 791 = -1640.\n</reasoning>\nFinal Answer: -1640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 * 4/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/14) × (4/4) = (20/56) = 5/14 after simplification.\n</reasoning>\nFinal Answer: 5/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -254 mod 401"
},
{
"role": "assistant",
"content": "<reasoning>\n-254 mod 401: -254 = 401 × -1 + 147, so remainder = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 53 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 53 × 65 = 3445.\n</reasoning>\nFinal Answer: 3445"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 93 = 2697.0.\n</reasoning>\nFinal Answer: 2697.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 75, 82, 79, 92, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 430/6 = 71.6667.\n</reasoning>\nFinal Answer: 71.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 25, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 25 + 28 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14649 at 19% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14649 × 19 × 8 / 100 = 22266.48.\n</reasoning>\nFinal Answer: 22266.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 98, 7, 92, 48, 68, 41, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 541/8 = 67.625.\n</reasoning>\nFinal Answer: 67.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 335 mod 492"
},
{
"role": "assistant",
"content": "<reasoning>\n335 mod 492: 335 = 492 × 0 + 335, so remainder = 335.\n</reasoning>\nFinal Answer: 335"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 36, 63, 83, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 8 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 37 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 6+1369-49=1326.\n</reasoning>\nFinal Answer: 1326"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 13) * (47 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+13)=27, (47-13)=34, then 27×34=918.\n</reasoning>\nFinal Answer: 918"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:22 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/22, so B = A × (22/18) = 45 × 22/18 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -112 mod 936"
},
{
"role": "assistant",
"content": "<reasoning>\n-112 mod 936: -112 = 936 × -1 + 824, so remainder = 824.\n</reasoning>\nFinal Answer: 824"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 - 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/20 - 6/14. LCD = 7. Result = 4/7.\n</reasoning>\nFinal Answer: 4/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 21 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 27+441-19=449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:4 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/4, so B = A × (4/16) = 85 × 4/16 = 21.25.\n</reasoning>\nFinal Answer: 21.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 331 ÷ -411"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 331 by -411. 331 ÷ -411 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 59 = 1268.5.\n</reasoning>\nFinal Answer: 1268.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -897 ÷ 49"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -897 by 49. -897 ÷ 49 = -19 (integer division).\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -30 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 25x = 125. Divide by 25: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 26 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+26) × 12 = 192.0.\n</reasoning>\nFinal Answer: 192.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:7 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/7, so B = A × (7/47) = 25 × 7/47 = 3.7234.\n</reasoning>\nFinal Answer: 3.7234"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [29, 62, 75, 1, 48, 13, 100, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {29: 1, 62: 1, 75: 1, 1: 1, 48: 1, 13: 1, 100: 2}. Most frequent: 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 45 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹1557. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1557 × 5/100 = 77.85. Total = 1557 + 77.85 = 1634.85.\n</reasoning>\nFinal Answer: 1634.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 29 = 1037"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 24x = 1008. Divide by 24: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:41 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/41, so B = A × (41/7) = 13 × 41/7 = 76.1429.\n</reasoning>\nFinal Answer: 76.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 90 km/h. How far does it travel in 11 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 40/60 = 11.6667 hours. Distance = speed × time = 90 × 11.6667 = 1050.0 km.\n</reasoning>\nFinal Answer: 1050.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 38 * 29 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×29=1102, then 37+1102-7=1132.\n</reasoning>\nFinal Answer: 1132"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:31 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/31, so B = A × (31/11) = 11 × 31/11 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 12, 81, 50, 4, 43, 26, 55, 26, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 360/10 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 8, 9, 10, 12, 15] and B = [1, 4, 11, 13, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 7, 8, 9, 10, 12, 15].\n</reasoning>\nFinal Answer: [2, 7, 8, 9, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 43 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+43) × 38 = 1729.0.\n</reasoning>\nFinal Answer: 1729.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 14 = -526"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 15x = -540. Divide by 15: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 836 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 836 × (1 + 7/100) = 836 × 1.07 = 894.52.\n</reasoning>\nFinal Answer: 894.52"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 / 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/5) ÷ (13/11) = (16/5) × (11/13) = 176/65.\n</reasoning>\nFinal Answer: 176/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 7, 12, 13, 15, 16] and B = [1, 3, 10, 13, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 7, 10, 12, 13, 15, 16, 17].\n</reasoning>\nFinal Answer: [1, 2, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [9, 11, 91, 15, 28, 90, 36, 15, 88, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 439/10 = 43.9.\n</reasoning>\nFinal Answer: 43.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "35 is what percentage of 45?"
},
{
"role": "assistant",
"content": "<reasoning>\n(35/45) × 100 = 77.7778%.\n</reasoning>\nFinal Answer: 77.7778%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 152 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 152 × (1 - 70/100) = 152 × 0.30000000000000004 = 45.6.\n</reasoning>\nFinal Answer: 45.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [2, 58, 62, 4, 25, 56, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 293/7 = 41.8571.\n</reasoning>\nFinal Answer: 41.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 * 19/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/5) × (19/20) = (57/100) = 57/100 after simplification.\n</reasoning>\nFinal Answer: 57/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 21 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 21 = 189 worker-days. New time = 189 / 20 = 9.45 days.\n</reasoning>\nFinal Answer: 9.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 7 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 7 × (1 + 10/100) = 7 × 1.1 = 7.7.\n</reasoning>\nFinal Answer: 7.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:22 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/22, so B = A × (22/42) = 52 × 22/42 = 27.2381.\n</reasoning>\nFinal Answer: 27.2381"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 * 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/6) × (3/9) = (57/54) = 19/18 after simplification.\n</reasoning>\nFinal Answer: 19/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:8 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/8, so B = A × (8/34) = 90 × 8/34 = 21.1765.\n</reasoning>\nFinal Answer: 21.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -101 × 895"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -101 by 895: -101 × 895 = -90395.\n</reasoning>\nFinal Answer: -90395"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:33 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/33, so B = A × (33/25) = 37 × 33/25 = 48.84.\n</reasoning>\nFinal Answer: 48.84"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 16 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 16 = 176 worker-days. New time = 176 / 3 = 58.6667 days.\n</reasoning>\nFinal Answer: 58.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -22 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 12x = 72. Divide by 12: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 + 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/13 + 8/15. Common denominator = 195. Result = 404/195.\n</reasoning>\nFinal Answer: 404/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 47) * (23 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+47)=58, (23-37)=-14, then 58×-14=-812.\n</reasoning>\nFinal Answer: -812"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 6 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 6 = 24 worker-days. New time = 24 / 3 = 8.0 days.\n</reasoning>\nFinal Answer: 8.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -5 = -55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 2x = -50. Divide by 2: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -34 = -1144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 30x = -1110. Divide by 30: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -160 mod -841"
},
{
"role": "assistant",
"content": "<reasoning>\n-160 mod -841: -160 = -841 × 0 + -160, so remainder = -160.\n</reasoning>\nFinal Answer: -160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [31, 40, 49, 58, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 31 and common difference 9. Next term = 67 + 9 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -822 - -925"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -925 from -822: -822 - -925 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 17, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (44-1)×17 = 40 + 731 = 771.\n</reasoning>\nFinal Answer: 771"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -19 ÷ -994"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -19 by -994. -19 ÷ -994 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 357 km apart. Their speeds are 84 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+54=138 km/h. Time = 357/138 = 2.587 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:12 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/12, so B = A × (12/22) = 66 × 12/22 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [15, 5, 59, 72, 40, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {15: 1, 5: 1, 59: 1, 72: 1, 40: 1, 3: 1}. Most frequent: [15, 5, 59, 72, 40, 3].\n</reasoning>\nFinal Answer: [15, 5, 59, 72, 40, 3]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 37 = 793"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 18x = 756. Divide by 18: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 81, 92, 57, 57, 43, 66, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 43, 57, 57, 64, 66, 81, 92]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 37 and 101."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(37,101) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Is 4 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n4 = 2 × 2, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 89, 70, 13, 32, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 13 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:24 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/24, so B = A × (24/9) = 25 × 24/9 = 66.6667.\n</reasoning>\nFinal Answer: 66.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 - 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/16 - 10/3. LCD = 48. Result = -139/48.\n</reasoning>\nFinal Answer: -139/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 + 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/15 + 1/1. Common denominator = 15. Result = 28/15.\n</reasoning>\nFinal Answer: 28/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -25 = 507"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 28x = 532. Divide by 28: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
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