messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 17:2 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/2, so B = A × (2/17) = 96 × 2/17 = 11.2941.\n</reasoning>\nFinal Answer: 11.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33698 at 17% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33698 × 17 × 5 / 100 = 28643.3.\n</reasoning>\nFinal Answer: 28643.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 - 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/3 - 19/1. LCD = 1. Result = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -3 = -115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 16x = -112. Divide by 16: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -633 - 307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 307 from -633: -633 - 307 = -940.\n</reasoning>\nFinal Answer: -940"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 28, 82, 86, 58, 81, 29, 19, 6, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 19, 28, 29, 43, 56, 58, 81, 82, 86]. Middle value(s) → median = 49.5.\n</reasoning>\nFinal Answer: 49.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 * 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/18) × (11/16) = (66/288) = 11/48 after simplification.\n</reasoning>\nFinal Answer: 11/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 70 apples and buys 138 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 70 + 138 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/11 / 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/11) ÷ (18/2) = (4/11) × (2/18) = 4/99.\n</reasoning>\nFinal Answer: 4/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 3 = -273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 6x = -276. Divide by 6: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [38, 93, 81, 27, 60, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 381/6 = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -38 = -188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 10x = -150. Divide by 10: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 102 × 222"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 102 by 222: 102 × 222 = 22644.\n</reasoning>\nFinal Answer: 22644"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -203 mod 411"
},
{
"role": "assistant",
"content": "<reasoning>\n-203 mod 411: -203 = 411 × -1 + 208, so remainder = 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 10, 15] and B = [2, 6, 8, 11, 13, 14, 15, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 8, 10, 11, 13, 14, 15, 16].\n</reasoning>\nFinal Answer: [1, 2... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 231 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 231 × (1 + 70/100) = 231 × 1.7 = 392.7.\n</reasoning>\nFinal Answer: 392.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 8, 9, 16] and B = [7, 11, 12, 13, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 7, 8, 9, 11, 12, 13, 14, 16].\n</reasoning>\nFinal Answer: [1, 2, 5, 7, 8, 9... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -175 × 438"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -175 by 438: -175 × 438 = -76650.\n</reasoning>\nFinal Answer: -76650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -315 + -218"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -315 and -218: -315 + -218 = -533.\n</reasoning>\nFinal Answer: -533"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -12 = -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 9x = -207. Divide by 9: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 20, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (10-1)×20 = 49 + 180 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -916 mod -108"
},
{
"role": "assistant",
"content": "<reasoning>\n-916 mod -108: -916 = -108 × 8 + -52, so remainder = -52.\n</reasoning>\nFinal Answer: -52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 29 = -209"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 7x = -238. Divide by 7: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 21, 52, 62, 65, 66, 51, 14, 70, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 19, 21, 34, 51, 52, 62, 65, 66, 70]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 0 ÷ -321"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 0 by -321. 0 ÷ -321 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 48, 66, 95, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 264/5 = 52.8.\n</reasoning>\nFinal Answer: 52.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:46 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/46, so B = A × (46/20) = 70 × 46/20 = 161.0.\n</reasoning>\nFinal Answer: 161.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 22 * 24 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×24=528, then 42+528-20=550.\n</reasoning>\nFinal Answer: 550"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 / 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/9) ÷ (14/14) = (19/9) × (14/14) = 19/9.\n</reasoning>\nFinal Answer: 19/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 25 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 26+625-28=623.\n</reasoning>\nFinal Answer: 623"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -762 × 54"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -762 by 54: -762 × 54 = -41148.\n</reasoning>\nFinal Answer: -41148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 670 ÷ 414"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 670 by 414. 670 ÷ 414 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 779?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 779 = (80/100) × 779 = 623.2.\n</reasoning>\nFinal Answer: 623.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 18 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 18 = 72 worker-days. New time = 72 / 6 = 12.0 days.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 770 mod 904"
},
{
"role": "assistant",
"content": "<reasoning>\n770 mod 904: 770 = 904 × 0 + 770, so remainder = 770.\n</reasoning>\nFinal Answer: 770"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:24 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/24, so B = A × (24/38) = 5 × 24/38 = 3.1579.\n</reasoning>\nFinal Answer: 3.1579"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:6 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/6, so B = A × (6/28) = 19 × 6/28 = 4.0714.\n</reasoning>\nFinal Answer: 4.0714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 20) * (46 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+20)=38, (46-10)=36, then 38×36=1368.\n</reasoning>\nFinal Answer: 1368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 13 apples and buys 58 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 13 + 58 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 15, 58, 80, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 15: 1, 58: 1, 80: 1, 20: 1}. Most frequent: [37, 15, 58, 80, 20].\n</reasoning>\nFinal Answer: [37, 15, 58, 80, 20]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 59, 2, 90, 65, 80, 41, 21, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 59: 1, 2: 1, 90: 1, 65: 1, 80: 1, 41: 1, 21: 1, 96: 1}. Most frequent: [73, 59, 2, 90, 65, 80, 41, 21, 96].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 0 = -348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 29x = -348. Divide by 29: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -164 - -828"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -828 from -164: -164 - -828 = 664.\n</reasoning>\nFinal Answer: 664"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -293 + -68"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -293 and -68: -293 + -68 = -361.\n</reasoning>\nFinal Answer: -361"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 698 ÷ 779"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 698 by 779. 698 ÷ 779 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 511 + -756"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 511 and -756: 511 + -756 = -245.\n</reasoning>\nFinal Answer: -245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 8 * 29 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×29=232, then 31+232-20=243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 22 + 17 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×22=1056 and 17×40=680, then add: 1736.\n</reasoning>\nFinal Answer: 1736"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 34 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+34) × 45 = 945.0.\n</reasoning>\nFinal Answer: 945.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 86 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 86 × (1 + 20/100) = 86 × 1.2 = 103.2.\n</reasoning>\nFinal Answer: 103.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 30 = 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 1x = 22. Divide by 1: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 13 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 1x = -2. Divide by 1: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 28, 87, 20, 67, 69, 58, 18, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 18, 20, 28, 38, 58, 67, 69, 87]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 8 = 41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 3x = 33. Divide by 3: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 154 km/h. How far does it travel in 11 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 17/60 = 11.2833 hours. Distance = speed × time = 154 × 11.2833 = 1737.6333 km.\n</reasoning>\nFinal Answer: 1737.6333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:45 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/45, so B = A × (45/8) = 71 × 45/8 = 399.375.\n</reasoning>\nFinal Answer: 399.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 15 + 48 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×15=300 and 48×40=1920, then add: 2220.\n</reasoning>\nFinal Answer: 2220"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 34 + 43 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×34=782 and 43×6=258, then add: 1040.\n</reasoning>\nFinal Answer: 1040"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -538 + 143"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -538 and 143: -538 + 143 = -395.\n</reasoning>\nFinal Answer: -395"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -26 = 331"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 17x = 357. Divide by 17: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -26 = 646"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 21x = 672. Divide by 21: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 51, 56, 61, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 5. Next term = 66 + 5 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 32."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 32 by smallest primes repeatedly: 32 = 2 × 2 × 2 × 2 × 2.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 2"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 664 - 691"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 691 from 664: 664 - 691 = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -474 mod 260"
},
{
"role": "assistant",
"content": "<reasoning>\n-474 mod 260: -474 = 260 × -2 + 46, so remainder = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 37, 55, 73, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 18. Next term = 91 + 18 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 70 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(70+98) = 2×168 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 17] and B = [1, 4, 5, 6, 8, 9, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 17].\n</reasoning>\nFinal Answer: [2, 3, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:30 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/30, so B = A × (30/31) = 71 × 30/31 = 68.7097.\n</reasoning>\nFinal Answer: 68.7097"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 49 * 19 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×19=931, then 49+931-22=958.\n</reasoning>\nFinal Answer: 958"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 871 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 871 × (1 - 100/100) = 871 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41378 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41378 × 6 × 10 / 100 = 24826.8.\n</reasoning>\nFinal Answer: 24826.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 53, 70, 41, 21, 91, 92, 34, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 25, 34, 41, 53, 70, 83, 91, 92]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 444 km apart. Their speeds are 88 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+70=158 km/h. Time = 444/158 = 2.8101 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -694 ÷ 366"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -694 by 366. -694 ÷ 366 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 47, 26, 25, 56, 53, 45, 27, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 26, 27, 30, 45, 47, 53, 56, 70]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 21 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+21) × 38 = 665.0.\n</reasoning>\nFinal Answer: 665.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -19 = -383"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 28x = -364. Divide by 28: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 701 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 701 × (1 - 40/100) = 701 × 0.6 = 420.6.\n</reasoning>\nFinal Answer: 420.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 385 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 385 × (1 - 60/100) = 385 × 0.4 = 154.0.\n</reasoning>\nFinal Answer: 154.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 20) * (30 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+20)=26, (30-7)=23, then 26×23=598.\n</reasoning>\nFinal Answer: 598"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 101 apples and buys 193 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 101 + 193 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 55 apples and buys 133 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 55 + 133 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 207 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 207 × (1 + 65/100) = 207 × 1.65 = 341.55.\n</reasoning>\nFinal Answer: 341.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 343 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 343 × (1 - 75/100) = 343 × 0.25 = 85.75.\n</reasoning>\nFinal Answer: 85.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 - 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/19 - 1/9. LCD = 171. Result = 8/171.\n</reasoning>\nFinal Answer: 8/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 954 × -859"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 954 by -859: 954 × -859 = -819486.\n</reasoning>\nFinal Answer: -819486"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 7, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (13-1)×7 = 28 + 84 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/2 + 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/2 + 12/19. Common denominator = 19. Result = 69/19.\n</reasoning>\nFinal Answer: 69/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 7, 16, 17, 18] and B = [1, 3, 6, 7, 10, 12, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 7, 10, 12, 14, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 22 = 478"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 19x = 456. Divide by 19: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 90% of 587?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 587 = (90/100) × 587 = 528.3.\n</reasoning>\nFinal Answer: 528.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 130?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 130 = (17/100) × 130 = 22.1.\n</reasoning>\nFinal Answer: 22.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 15, 24, 20, 59, 19, 78, 33, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 15 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 / 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/6) ÷ (12/10) = (19/6) × (10/12) = 95/36.\n</reasoning>\nFinal Answer: 95/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 929 ÷ 342"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 929 by 342. 929 ÷ 342 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 798 - 991"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 991 from 798: 798 - 991 = -193.\n</reasoning>\nFinal Answer: -193"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -34 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 19x = 114. Divide by 19: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 3, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (47-1)×3 = 37 + 138 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 36, 47, 84, 28, 50, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 14 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
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