messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 181 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 181 × (1 - 30/100) = 181 × 0.7 = 126.7.\n</reasoning>\nFinal Answer: 126.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 21 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 8+441-2=447.\n</reasoning>\nFinal Answer: 447"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [40, 43, 46, 49, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 40 and common difference 3. Next term = 52 + 3 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 4 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 18+16-44=-10.\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/20 * 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/20) × (14/19) = (266/380) = 7/10 after simplification.\n</reasoning>\nFinal Answer: 7/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+24) = 2×84 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 37, 14, 21, 54, 16, 66, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 315/8 = 39.375.\n</reasoning>\nFinal Answer: 39.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 754 - -558"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -558 from 754: 754 - -558 = 1312.\n</reasoning>\nFinal Answer: 1312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 33, 77, 33, 50, 42, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 343/7 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 29 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 29 = 174 worker-days. New time = 174 / 11 = 15.8182 days.\n</reasoning>\nFinal Answer: 15.8182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 13 = 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 9x = 234. Divide by 9: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹387. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 387 × 12/100 = 46.44. Total = 387 + 46.44 = 433.44.\n</reasoning>\nFinal Answer: 433.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 37 = 1295.\n</reasoning>\nFinal Answer: 1295"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37326 at 17% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37326 × 17 × 1 / 100 = 6345.42.\n</reasoning>\nFinal Answer: 6345.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -630 ÷ -206"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -630 by -206. -630 ÷ -206 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 33 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+33) × 34 = 1139.0.\n</reasoning>\nFinal Answer: 1139.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 985 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from 985: 985 - 3 = 982.\n</reasoning>\nFinal Answer: 982"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -170 ÷ -405"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -170 by -405. -170 ÷ -405 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 42 = 171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 3x = 129. Divide by 3: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -62 mod -142"
},
{
"role": "assistant",
"content": "<reasoning>\n-62 mod -142: -62 = -142 × 0 + -62, so remainder = -62.\n</reasoning>\nFinal Answer: -62"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 25, 66, 10, 63, 70, 27, 86, 79, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 25: 1, 66: 1, 10: 1, 63: 1, 70: 1, 27: 1, 86: 1, 79: 1, 28: 1}. Most frequent: [18, 25, 66, 10, 63, 70, 27, 86, 79, 28].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 46 = -18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 2x = -64. Divide by 2: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 36 = -360"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 9x = -396. Divide by 9: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 101 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 101 × (1 + 12/100) = 101 × 1.12 = 113.12.\n</reasoning>\nFinal Answer: 113.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 24 + 46 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×24=72 and 46×48=2208, then add: 2280.\n</reasoning>\nFinal Answer: 2280"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 246 ÷ -755"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 246 by -755. 246 ÷ -755 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 79, 47, 71, 30, 39, 14, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 464/8 = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 * 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/11) × (15/12) = (90/132) = 15/22 after simplification.\n</reasoning>\nFinal Answer: 15/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+57) = 2×133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 107 mod -325"
},
{
"role": "assistant",
"content": "<reasoning>\n107 mod -325: 107 = -325 × -1 + -218, so remainder = -218.\n</reasoning>\nFinal Answer: -218"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 12 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 37 = -145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 7x = -182. Divide by 7: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 26 + 21 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×26=754 and 21×38=798, then add: 1552.\n</reasoning>\nFinal Answer: 1552"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 47 * 20 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×20=940, then 27+940-43=924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 90% of 205?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 205 = (90/100) × 205 = 184.5.\n</reasoning>\nFinal Answer: 184.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/3 / 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/3) ÷ (4/17) = (5/3) × (17/4) = 85/12.\n</reasoning>\nFinal Answer: 85/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 37 and 197."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(37,197) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 47 * 26 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×26=1222, then 28+1222-25=1225.\n</reasoning>\nFinal Answer: 1225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -17 = -177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 20x = -160. Divide by 20: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 796 km apart. Their speeds are 79 km/h and 56 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+56=135 km/h. Time = 796/135 = 5.8963 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 / 12/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/16) ÷ (12/1) = (1/16) × (1/12) = 1/192.\n</reasoning>\nFinal Answer: 1/192"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -233 × 201"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -233 by 201: -233 × 201 = -46833.\n</reasoning>\nFinal Answer: -46833"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 12, 18] and B = [3, 5, 7, 8, 9, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 12, 18].\n</reasoning>\nFinal Answer: [2, 12, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 162 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 162 × (1 + 65/100) = 162 × 1.65 = 267.3.\n</reasoning>\nFinal Answer: 267.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 848 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 848 × (1 + 65/100) = 848 × 1.65 = 1399.2.\n</reasoning>\nFinal Answer: 1399.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 89, 90, 70, 34, 95, 6, 46, 39, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 34, 39, 43, 46, 70, 89, 90, 95, 100]. Middle value(s) → median = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49045 at 9% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49045 × 9 × 3 / 100 = 13242.15.\n</reasoning>\nFinal Answer: 13242.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 44 mod -137"
},
{
"role": "assistant",
"content": "<reasoning>\n44 mod -137: 44 = -137 × -1 + -93, so remainder = -93.\n</reasoning>\nFinal Answer: -93"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -585 × -587"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -585 by -587: -585 × -587 = 343395.\n</reasoning>\nFinal Answer: 343395"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 3, 43, 23, 24, 27, 24, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 3: 1, 43: 1, 23: 1, 24: 2, 27: 1, 58: 1}. Most frequent: 24.\n</reasoning>\nFinal Answer: 24"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 / 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/16) ÷ (10/14) = (4/16) × (14/10) = 7/20.\n</reasoning>\nFinal Answer: 7/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 237 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 237 × (1 - 75/100) = 237 × 0.25 = 59.25.\n</reasoning>\nFinal Answer: 59.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 14] and B = [2, 9, 11, 12, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 14].\n</reasoning>\nFinal Answer: [4, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 49 and 98."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(49,98) = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 - 9/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/4 - 9/7. LCD = 14. Result = 45/14.\n</reasoning>\nFinal Answer: 45/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:38 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/38, so B = A × (38/12) = 95 × 38/12 = 300.8333.\n</reasoning>\nFinal Answer: 300.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 + 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/6 + 5/3. Common denominator = 3. Result = 10/3.\n</reasoning>\nFinal Answer: 10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -524 - 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 100 from -524: -524 - 100 = -624.\n</reasoning>\nFinal Answer: -624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "71 is what percentage of 362?"
},
{
"role": "assistant",
"content": "<reasoning>\n(71/362) × 100 = 19.6133%.\n</reasoning>\nFinal Answer: 19.6133%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [7, 74, 13, 49, 56, 8, 7, 19, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 7, 7, 8, 13, 19, 49, 56, 74]. Middle value(s) → median = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 12/1 * 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/1) × (15/7) = (180/7) = 180/7 after simplification.\n</reasoning>\nFinal Answer: 180/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "183 is what percentage of 435?"
},
{
"role": "assistant",
"content": "<reasoning>\n(183/435) × 100 = 42.069%.\n</reasoning>\nFinal Answer: 42.069%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 76 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 76 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 6, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (24-1)×6 = 41 + 138 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 275 ÷ -896"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 275 by -896. 275 ÷ -896 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "238 is what percentage of 741?"
},
{
"role": "assistant",
"content": "<reasoning>\n(238/741) × 100 = 32.1188%.\n</reasoning>\nFinal Answer: 32.1188%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 + 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/5 + 13/15. Common denominator = 15. Result = 16/15.\n</reasoning>\nFinal Answer: 16/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -29 = -239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 30x = -210. Divide by 30: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:24 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/24, so B = A × (24/15) = 35 × 24/15 = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -522 + 274"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -522 and 274: -522 + 274 = -248.\n</reasoning>\nFinal Answer: -248"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -115 mod -95"
},
{
"role": "assistant",
"content": "<reasoning>\n-115 mod -95: -115 = -95 × 1 + -20, so remainder = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 15 = -255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 6x = -270. Divide by 6: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -678 - -796"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -796 from -678: -678 - -796 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [48, 11, 59, 58, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 59 - 11 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 32, 21, 66, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 21, 32, 66, 78]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 61 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(61+24) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 5 + 18 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×5=80 and 18×18=324, then add: 404.\n</reasoning>\nFinal Answer: 404"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 383 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 383 × (1 + 60/100) = 383 × 1.6 = 612.8.\n</reasoning>\nFinal Answer: 612.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:25 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/25, so B = A × (25/46) = 16 × 25/46 = 8.6957.\n</reasoning>\nFinal Answer: 8.6957"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 - 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/2 - 17/8. LCD = 8. Result = 39/8.\n</reasoning>\nFinal Answer: 39/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 16 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 16 = 208 worker-days. New time = 208 / 13 = 16.0 days.\n</reasoning>\nFinal Answer: 16.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 32, 94, 3, 20, 49, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 20, 23, 32, 49, 69, 94]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/9 * 9/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/9) × (9/12) = (9/108) = 1/12 after simplification.\n</reasoning>\nFinal Answer: 1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/16 * 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/16) × (9/5) = (162/80) = 81/40 after simplification.\n</reasoning>\nFinal Answer: 81/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 137 × 570"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 137 by 570: 137 × 570 = 78090.\n</reasoning>\nFinal Answer: 78090"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 16 = -256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 17x = -272. Divide by 17: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:10 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/10, so B = A × (10/12) = 35 × 10/12 = 29.1667.\n</reasoning>\nFinal Answer: 29.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 39 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 39 × (1 - 5/100) = 39 × 0.95 = 37.05.\n</reasoning>\nFinal Answer: 37.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 4) * (9 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+4)=39, (9-42)=-33, then 39×-33=-1287.\n</reasoning>\nFinal Answer: -1287"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -899 + 559"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -899 and 559: -899 + 559 = -340.\n</reasoning>\nFinal Answer: -340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 2, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (20-1)×2 = 10 + 38 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 * 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/17) × (18/20) = (342/340) = 171/170 after simplification.\n</reasoning>\nFinal Answer: 171/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 180 and 176."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(180,176) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 3/1 * 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/1) × (8/11) = (24/11) = 24/11 after simplification.\n</reasoning>\nFinal Answer: 24/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -36 = 907"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 23x = 943. Divide by 23: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 401 mod -275"
},
{
"role": "assistant",
"content": "<reasoning>\n401 mod -275: 401 = -275 × -2 + -149, so remainder = -149.\n</reasoning>\nFinal Answer: -149"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:49 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/49, so B = A × (49/29) = 89 × 49/29 = 150.3793.\n</reasoning>\nFinal Answer: 150.3793"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -37 = 91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 8x = 128. Divide by 8: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 878 + 884"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 878 and 884: 878 + 884 = 1762.\n</reasoning>\nFinal Answer: 1762"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 6 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 6 = 66 worker-days. New time = 66 / 8 = 8.25 days.\n</reasoning>\nFinal Answer: 8.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
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