messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [24, 50, 58, 100, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 50: 1, 58: 1, 100: 1, 38: 1}. Most frequent: [24, 50, 58, 100, 38].\n</reasoning>\nFinal Answer: [24, 50, 58, 100, 38]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [15, 1, 29, 74, 49, 76, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 304/7 = 43.4286.\n</reasoning>\nFinal Answer: 43.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 7, 8, 9, 10, 15] and B = [2, 13, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 6, 7, 8, 9, 10, 13, 15, 19].\n</reasoning>\nFinal Answer: [2, 5, 6, 7, 8, 9, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 - 19/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/10 - 19/20. LCD = 20. Result = -13/20.\n</reasoning>\nFinal Answer: -13/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:27 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/27, so B = A × (27/46) = 53 × 27/46 = 31.1087.\n</reasoning>\nFinal Answer: 31.1087"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 35 = 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 1x = -32. Divide by 1: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 90 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 90 × 74 = 6660.\n</reasoning>\nFinal Answer: 6660"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 40, 59, 78, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 19. Next term = 97 + 19 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 27 = -611"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 29x = -638. Divide by 29: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 28 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 4x = -64. Divide by 4: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 10, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (30-1)×10 = 3 + 290 = 293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 15, 36, 99, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 15 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [92, 58, 42, 98, 41, 86, 76, 12, 53, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {92: 1, 58: 1, 42: 1, 98: 1, 41: 1, 86: 1, 76: 1, 12: 1, 53: 1, 46: 1}. Most frequent: [92, 58, 42, 98, 41, 86, 76, 12, 53, 46].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 * 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/4) × (16/8) = (96/32) = 3 after simplification.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -970 × 178"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -970 by 178: -970 × 178 = -172660.\n</reasoning>\nFinal Answer: -172660"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 151 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(151,136) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "408 is what percentage of 815?"
},
{
"role": "assistant",
"content": "<reasoning>\n(408/815) × 100 = 50.0613%.\n</reasoning>\nFinal Answer: 50.0613%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -6 = -23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 17x = -17. Divide by 17: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 20% of 434?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 434 = (20/100) × 434 = 86.8.\n</reasoning>\nFinal Answer: 86.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 33 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+33) × 47 = 963.5.\n</reasoning>\nFinal Answer: 963.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 12 * 44 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×44=528, then 48+528-32=544.\n</reasoning>\nFinal Answer: 544"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 61 = 5917.\n</reasoning>\nFinal Answer: 5917"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:30 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/30, so B = A × (30/9) = 99 × 30/9 = 330.0.\n</reasoning>\nFinal Answer: 330.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 19 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 19 = 361 worker-days. New time = 361 / 10 = 36.1 days.\n</reasoning>\nFinal Answer: 36.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -48 × -419"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -48 by -419: -48 × -419 = 20112.\n</reasoning>\nFinal Answer: 20112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 86, 25, 93, 91, 16, 80, 85, 37, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 25, 37, 70, 80, 85, 86, 88, 91, 93]. Middle value(s) → median = 82.5.\n</reasoning>\nFinal Answer: 82.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 45% of 606?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 606 = (45/100) × 606 = 272.7.\n</reasoning>\nFinal Answer: 272.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 84, 94, 13, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 13 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 260 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 260 × (1 + 40/100) = 260 × 1.4 = 364.0.\n</reasoning>\nFinal Answer: 364.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [14, 15, 16] and B = [2, 6, 7, 8, 10, 12, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 6, 7, 8, 10, 12, 14, 15, 16, 17].\n</reasoning>\nFinal Answer: [2, 6, 7, 8, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -173 ÷ 372"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -173 by 372. -173 ÷ 372 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -208 × 113"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -208 by 113: -208 × 113 = -23504.\n</reasoning>\nFinal Answer: -23504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 55, 85, 55, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 55: 2, 85: 1, 22: 1}. Most frequent: 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19054 at 3% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19054 × 3 × 6 / 100 = 3429.72.\n</reasoning>\nFinal Answer: 3429.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 4 + 18 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×4=80 and 18×30=540, then add: 620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -33 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 5x = 50. Divide by 5: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 997 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 997 × (1 + 60/100) = 997 × 1.6 = 1595.2.\n</reasoning>\nFinal Answer: 1595.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40926 at 6% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40926 × 6 × 2 / 100 = 4911.12.\n</reasoning>\nFinal Answer: 4911.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/7 / 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/7) ÷ (11/12) = (8/7) × (12/11) = 96/77.\n</reasoning>\nFinal Answer: 96/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 49 = 189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 5x = 140. Divide by 5: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 / 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/5) ÷ (6/3) = (14/5) × (3/6) = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 34 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 34 × 36 = 1224.\n</reasoning>\nFinal Answer: 1224"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 19 - 143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 143 from 19: 19 - 143 = -124.\n</reasoning>\nFinal Answer: -124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 131 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 131 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -278 ÷ -366"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -278 by -366. -278 ÷ -366 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 34 = 466"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 27x = 432. Divide by 27: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -393 - -860"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -860 from -393: -393 - -860 = 467.\n</reasoning>\nFinal Answer: 467"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 666 km apart. Their speeds are 59 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+76=135 km/h. Time = 666/135 = 4.9333 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 70, 91, 70, 86, 53, 14, 12, 27, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 12 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 89 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 89 × 31 = 2759.\n</reasoning>\nFinal Answer: 2759"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 18 = -492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 30x = -510. Divide by 30: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 31 = 281"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 5x = 250. Divide by 5: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 3, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (19-1)×3 = 21 + 54 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -529 mod -145"
},
{
"role": "assistant",
"content": "<reasoning>\n-529 mod -145: -529 = -145 × 3 + -94, so remainder = -94.\n</reasoning>\nFinal Answer: -94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 67 mod -762"
},
{
"role": "assistant",
"content": "<reasoning>\n67 mod -762: 67 = -762 × -1 + -695, so remainder = -695.\n</reasoning>\nFinal Answer: -695"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 585 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 585 × (1 - 10/100) = 585 × 0.9 = 526.5.\n</reasoning>\nFinal Answer: 526.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 29) * (18 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+29)=35, (18-1)=17, then 35×17=595.\n</reasoning>\nFinal Answer: 595"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 191 × -976"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 191 by -976: 191 × -976 = -186416.\n</reasoning>\nFinal Answer: -186416"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 35, 51, 67, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 16. Next term = 83 + 16 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 3 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+3) × 30 = 675.0.\n</reasoning>\nFinal Answer: 675.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -12 + 816"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -12 and 816: -12 + 816 = 804.\n</reasoning>\nFinal Answer: 804"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [13, 30, 47, 64, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 13 and common difference 17. Next term = 81 + 17 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 135 km/h. How far does it travel in 11 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 33/60 = 11.5500 hours. Distance = speed × time = 135 × 11.5500 = 1559.25 km.\n</reasoning>\nFinal Answer: 1559.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -24 = 850"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 19x = 874. Divide by 19: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 41 and 55."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(41,55) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×30)/5 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 35 = -565"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 15x = -600. Divide by 15: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 628 ÷ 726"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 628 by 726. 628 ÷ 726 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -350 × -854"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -350 by -854: -350 × -854 = 298900.\n</reasoning>\nFinal Answer: 298900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -26 = 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 29x = 29. Divide by 29: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 8] and B = [1, 4, 8, 12, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 5, 6].\n</reasoning>\nFinal Answer: [3, 5, 6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -38 = 652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 15x = 690. Divide by 15: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 45% of 9?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 9 = (45/100) × 9 = 4.05.\n</reasoning>\nFinal Answer: 4.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 85, 71, 59, 62, 7, 34, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 395/8 = 49.375.\n</reasoning>\nFinal Answer: 49.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:6 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/6, so B = A × (6/8) = 68 × 6/8 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 83, 63, 78, 36, 64, 7, 75, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 28, 36, 63, 64, 67, 75, 78, 83]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 13 = -467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 12x = -480. Divide by 12: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 20 + 35 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×20=60 and 35×38=1330, then add: 1390.\n</reasoning>\nFinal Answer: 1390"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 160 km apart. Their speeds are 114 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+55=169 km/h. Time = 160/169 = 0.9467 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -431 mod 194"
},
{
"role": "assistant",
"content": "<reasoning>\n-431 mod 194: -431 = 194 × -3 + 151, so remainder = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 980 - -327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -327 from 980: 980 - -327 = 1307.\n</reasoning>\nFinal Answer: 1307"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 76, 71, 100, 7, 1, 14, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 76: 1, 71: 1, 100: 1, 7: 1, 1: 1, 14: 1, 94: 1}. Most frequent: [20, 76, 71, 100, 7, 1, 14, 94].\n</reasoning>\nFinal Answer: [20, 76, 71... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 471 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 471 × (1 - 80/100) = 471 × 0.19999999999999996 = 94.2.\n</reasoning>\nFinal Answer: 94.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 24 = 105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 3x = 81. Divide by 3: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 138 ÷ -921"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 138 by -921. 138 ÷ -921 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 630 mod 222"
},
{
"role": "assistant",
"content": "<reasoning>\n630 mod 222: 630 = 222 × 2 + 186, so remainder = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 30 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 5x = -70. Divide by 5: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47083 at 3% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47083 × 3 × 7 / 100 = 9887.43.\n</reasoning>\nFinal Answer: 9887.43"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 / 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/1) ÷ (2/7) = (7/1) × (7/2) = 49/2.\n</reasoning>\nFinal Answer: 49/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -56 ÷ -935"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -56 by -935. -56 ÷ -935 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 750 mod -699"
},
{
"role": "assistant",
"content": "<reasoning>\n750 mod -699: 750 = -699 × -2 + -648, so remainder = -648.\n</reasoning>\nFinal Answer: -648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 22, 57, 89, 47, 73, 51, 84, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 22 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "349 is what percentage of 492?"
},
{
"role": "assistant",
"content": "<reasoning>\n(349/492) × 100 = 70.935%.\n</reasoning>\nFinal Answer: 70.935%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:29 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/29, so B = A × (29/32) = 94 × 29/32 = 85.1875.\n</reasoning>\nFinal Answer: 85.1875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 10% of 480?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 480 = (10/100) × 480 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 + 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/14 + 3/15. Common denominator = 35. Result = 12/35.\n</reasoning>\nFinal Answer: 12/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -205 mod 40"
},
{
"role": "assistant",
"content": "<reasoning>\n-205 mod 40: -205 = 40 × -6 + 35, so remainder = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 / 5/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/8) ÷ (5/16) = (17/8) × (16/5) = 34/5.\n</reasoning>\nFinal Answer: 34/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32758 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32758 × 1 × 8 / 100 = 2620.64.\n</reasoning>\nFinal Answer: 2620.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 335?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 335 = (40/100) × 335 = 134.0.\n</reasoning>\nFinal Answer: 134.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
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