messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 74 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 74 × (1 - 45/100) = 74 × 0.55 = 40.7.\n</reasoning>\nFinal Answer: 40.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 289 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 289 × (1 - 15/100) = 289 × 0.85 = 245.65.\n</reasoning>\nFinal Answer: 245.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -295 × 745"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -295 by 745: -295 × 745 = -219775.\n</reasoning>\nFinal Answer: -219775"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 372 + -184"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 372 and -184: 372 + -184 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 19 = -995"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 26x = -1014. Divide by 26: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:27 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/27, so B = A × (27/49) = 25 × 27/49 = 13.7755.\n</reasoning>\nFinal Answer: 13.7755"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 9, 13] and B = [3, 7, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 9].\n</reasoning>\nFinal Answer: [1, 2, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 7, 49, 76, 64, 31, 4, 15, 58, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 4, 7, 15, 31, 49, 58, 64, 76, 83]. Middle value(s) → median = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 47 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 1x = 23. Divide by 1: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 1, 2, 55, 96, 66, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 2, 8, 36, 55, 66, 96]. Middle value(s) → median = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 27 = -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 16x = -256. Divide by 16: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 * 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/15) × (1/18) = (10/270) = 1/27 after simplification.\n</reasoning>\nFinal Answer: 1/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 45 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 14+2025-21=2018.\n</reasoning>\nFinal Answer: 2018"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 522 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 522 × (1 - 35/100) = 522 × 0.65 = 339.3.\n</reasoning>\nFinal Answer: 339.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 1 + 41 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×1=26 and 41×14=574, then add: 600.\n</reasoning>\nFinal Answer: 600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 173 × -443"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 173 by -443: 173 × -443 = -76639.\n</reasoning>\nFinal Answer: -76639"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 90 = 3510.\n</reasoning>\nFinal Answer: 3510"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 91 apples and buys 186 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 91 + 186 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the square root of 784."
},
{
"role": "assistant",
"content": "<reasoning>\n√784 = 28 because 28² = 784.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Calculate: -485 mod -263"
},
{
"role": "assistant",
"content": "<reasoning>\n-485 mod -263: -485 = -263 × 1 + -222, so remainder = -222.\n</reasoning>\nFinal Answer: -222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 18) * (49 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+18)=35, (49-49)=0, then 35×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 62, 97, 58, 74, 18, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 18 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 14 + 5 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×14=210 and 5×31=155, then add: 365.\n</reasoning>\nFinal Answer: 365"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 - 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/12 - 4/7. LCD = 28. Result = -9/28.\n</reasoning>\nFinal Answer: -9/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 7% of 692?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 692 = (7/100) × 692 = 48.44.\n</reasoning>\nFinal Answer: 48.44"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 284 + 205"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 284 and 205: 284 + 205 = 489.\n</reasoning>\nFinal Answer: 489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 971 - 585"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 585 from 971: 971 - 585 = 386.\n</reasoning>\nFinal Answer: 386"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4894. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4894 × 5/100 = 244.7. Total = 4894 + 244.7 = 5138.7.\n</reasoning>\nFinal Answer: 5138.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 5) * (25 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+5)=18, (25-2)=23, then 18×23=414.\n</reasoning>\nFinal Answer: 414"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 989 × 831"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 989 by 831: 989 × 831 = 821859.\n</reasoning>\nFinal Answer: 821859"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:34 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/34, so B = A × (34/34) = 53 × 34/34 = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -41 = 124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 5x = 165. Divide by 5: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 77 = 5236.\n</reasoning>\nFinal Answer: 5236"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 438 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 438 × (1 + 80/100) = 438 × 1.8 = 788.4.\n</reasoning>\nFinal Answer: 788.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 3 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 8+9-4=13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 28 + 27 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×28=420 and 27×17=459, then add: 879.\n</reasoning>\nFinal Answer: 879"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 61 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 61 × 17 = 518.5.\n</reasoning>\nFinal Answer: 518.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 240 ÷ -743"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 240 by -743. 240 ÷ -743 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 156 km/h. How far does it travel in 6 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 48/60 = 6.8000 hours. Distance = speed × time = 156 × 6.8000 = 1060.8 km.\n</reasoning>\nFinal Answer: 1060.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 * 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/1) × (4/20) = (56/20) = 14/5 after simplification.\n</reasoning>\nFinal Answer: 14/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7, 8, 9, 15] and B = [1, 6, 8, 9, 10, 16, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 7, 8, 9, 10, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 6... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -699 × 769"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -699 by 769: -699 × 769 = -537531.\n</reasoning>\nFinal Answer: -537531"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 44 * 10 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×10=440, then 39+440-20=459.\n</reasoning>\nFinal Answer: 459"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 22 * 18 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×18=396, then 45+396-15=426.\n</reasoning>\nFinal Answer: 426"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:37 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/37, so B = A × (37/2) = 74 × 37/2 = 1369.0.\n</reasoning>\nFinal Answer: 1369.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 27 = 399"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 12x = 372. Divide by 12: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 11 = 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 13x = 117. Divide by 13: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 28, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 28 + 33 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -326 ÷ 266"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -326 by 266. -326 ÷ 266 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 / 3/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/4) ÷ (3/18) = (1/4) × (18/3) = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 186 apples and buys 112 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 186 + 112 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 / 6/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/5) ÷ (6/4) = (10/5) × (4/6) = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 * 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/17) × (18/5) = (36/85) = 36/85 after simplification.\n</reasoning>\nFinal Answer: 36/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2256. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2256 × 28/100 = 631.68. Total = 2256 + 631.68 = 2887.68.\n</reasoning>\nFinal Answer: 2887.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 42 = 1617.0.\n</reasoning>\nFinal Answer: 1617.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 33 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 40+1089-16=1113.\n</reasoning>\nFinal Answer: 1113"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-1)x + (-2) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -1² - 4×1×-2 = 9. √discriminant = 3. x = (-(-1) ± 3) / (2×1). Solutions: x = -1 or x = 2.\n</reasoning>\nFinal Answer: x = -1 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "116 is what percentage of 345?"
},
{
"role": "assistant",
"content": "<reasoning>\n(116/345) × 100 = 33.6232%.\n</reasoning>\nFinal Answer: 33.6232%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "13 is what percentage of 54?"
},
{
"role": "assistant",
"content": "<reasoning>\n(13/54) × 100 = 24.0741%.\n</reasoning>\nFinal Answer: 24.0741%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 972 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 972 × (1 - 20/100) = 972 × 0.8 = 777.6.\n</reasoning>\nFinal Answer: 777.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -18 = -284"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 14x = -266. Divide by 14: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 25% of 909?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 909 = (25/100) × 909 = 227.25.\n</reasoning>\nFinal Answer: 227.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:45 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/45, so B = A × (45/14) = 4 × 45/14 = 12.8571.\n</reasoning>\nFinal Answer: 12.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 100, 65, 88, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 100: 1, 65: 1, 88: 1, 98: 1}. Most frequent: [24, 100, 65, 88, 98].\n</reasoning>\nFinal Answer: [24, 100, 65, 88, 98]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 * 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/11) × (14/6) = (14/66) = 7/33 after simplification.\n</reasoning>\nFinal Answer: 7/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 27, 14, 98, 89, 2, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 2 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 11/11 + 4/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/11 + 4/9. Common denominator = 9. Result = 13/9.\n</reasoning>\nFinal Answer: 13/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -734 + 45"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -734 and 45: -734 + 45 = -689.\n</reasoning>\nFinal Answer: -689"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 19] and B = [3, 11, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 10, 11, 15, 17, 19].\n</reasoning>\nFinal Answer: [3, 10, 11, 15, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -19 ÷ -42"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -19 by -42. -19 ÷ -42 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 4 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 5+16-28=-7.\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 / 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/15) ÷ (18/7) = (14/15) × (7/18) = 49/135.\n</reasoning>\nFinal Answer: 49/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×3)/3 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [13, 25, 37, 49, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 13 and common difference 12. Next term = 61 + 12 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 5% of 128?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 128 = (5/100) × 128 = 6.4.\n</reasoning>\nFinal Answer: 6.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -25 = -953"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 29x = -928. Divide by 29: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 340 mod -229"
},
{
"role": "assistant",
"content": "<reasoning>\n340 mod -229: 340 = -229 × -2 + -118, so remainder = -118.\n</reasoning>\nFinal Answer: -118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -11 = 548"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 13x = 559. Divide by 13: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 69 = 6693.\n</reasoning>\nFinal Answer: 6693"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 37 * 14 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×14=518, then 44+518-32=530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 * 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/5) × (13/18) = (156/90) = 26/15 after simplification.\n</reasoning>\nFinal Answer: 26/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 44, 95, 31, 27, 45, 40, 73, 73, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 5 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2222. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2222 × 28/100 = 622.16. Total = 2222 + 622.16 = 2844.16.\n</reasoning>\nFinal Answer: 2844.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/4 * 11/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/4) × (11/8) = (22/32) = 11/16 after simplification.\n</reasoning>\nFinal Answer: 11/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 82 = 3936.\n</reasoning>\nFinal Answer: 3936"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 6 apples and buys 73 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 6 + 73 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -28 = 132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 5x = 160. Divide by 5: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 21 = -879"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 25x = -900. Divide by 25: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -47 = -791"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 24x = -744. Divide by 24: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -332 + 874"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -332 and 874: -332 + 874 = 542.\n</reasoning>\nFinal Answer: 542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 72, 28, 92, 32, 19, 34, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 28, 32, 34, 72, 79, 92, 99]. Middle value(s) → median = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 773 km apart. Their speeds are 71 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+71=142 km/h. Time = 773/142 = 5.4437 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 * 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/3) × (1/7) = (17/21) = 17/21 after simplification.\n</reasoning>\nFinal Answer: 17/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 74 = 5772.\n</reasoning>\nFinal Answer: 5772"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 12 + 11 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×12=276 and 11×33=363, then add: 639.\n</reasoning>\nFinal Answer: 639"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 11, 61, 1, 25, 38, 47, 39, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 1 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 16 = -26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 2x = -42. Divide by 2: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 578 mod -833"
},
{
"role": "assistant",
"content": "<reasoning>\n578 mod -833: 578 = -833 × -1 + -255, so remainder = -255.\n</reasoning>\nFinal Answer: -255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 47, 51, 76, 68, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/6 = 57.6667.\n</reasoning>\nFinal Answer: 57.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -21 = -161"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 4x = -140. Divide by 4: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.