messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+78) = 2×169 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 24, 28, 32, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 4. Next term = 36 + 4 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 13 + 37 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×13=637 and 37×22=814, then add: 1451.\n</reasoning>\nFinal Answer: 1451"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 608 + 955"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 608 and 955: 608 + 955 = 1563.\n</reasoning>\nFinal Answer: 1563"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 19, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (13-1)×19 = 16 + 228 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 + 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/7 + 18/14. Common denominator = 7. Result = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14049 at 18% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14049 × 18 × 6 / 100 = 15172.92.\n</reasoning>\nFinal Answer: 15172.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 44 * 33 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×33=1452, then 46+1452-43=1455.\n</reasoning>\nFinal Answer: 1455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 3, 74, 46, 43, 85, 22, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 3 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 38 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 38 × (1 + 65/100) = 38 × 1.65 = 62.7.\n</reasoning>\nFinal Answer: 62.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 94, 91, 35, 93, 67, 60, 23, 28, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 94: 1, 91: 1, 35: 1, 93: 1, 67: 1, 60: 1, 23: 1, 28: 2}. Most frequent: 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -45 = 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 19x = 190. Divide by 19: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 17, 64, 45, 59, 50, 34, 94, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 17 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 15 = -497"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 16x = -512. Divide by 16: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -323 mod -764"
},
{
"role": "assistant",
"content": "<reasoning>\n-323 mod -764: -323 = -764 × 0 + -323, so remainder = -323.\n</reasoning>\nFinal Answer: -323"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:30 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/30, so B = A × (30/7) = 16 × 30/7 = 68.5714.\n</reasoning>\nFinal Answer: 68.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 28 + 23 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×28=336 and 23×41=943, then add: 1279.\n</reasoning>\nFinal Answer: 1279"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 977 × -352"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 977 by -352: 977 × -352 = -343904.\n</reasoning>\nFinal Answer: -343904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -492 + -523"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -492 and -523: -492 + -523 = -1015.\n</reasoning>\nFinal Answer: -1015"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 22, 24, 26, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 2. Next term = 28 + 2 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "25 is what percentage of 224?"
},
{
"role": "assistant",
"content": "<reasoning>\n(25/224) × 100 = 11.1607%.\n</reasoning>\nFinal Answer: 11.1607%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:21 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/21, so B = A × (21/22) = 92 × 21/22 = 87.8182.\n</reasoning>\nFinal Answer: 87.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = 117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = 161. Divide by 7: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 20 = -106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 6x = -126. Divide by 6: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 / 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/15) ÷ (17/10) = (8/15) × (10/17) = 16/51.\n</reasoning>\nFinal Answer: 16/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 30 * 47 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×47=1410, then 47+1410-45=1412.\n</reasoning>\nFinal Answer: 1412"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 76 = 1406.0.\n</reasoning>\nFinal Answer: 1406.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 9, 10, 12, 14, 18] and B = [3, 9, 12, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 12].\n</reasoning>\nFinal Answer: [9, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 15 = 960.\n</reasoning>\nFinal Answer: 960"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 45, 39, 57, 48, 36, 60, 87, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 36 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-10)x + (9) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×1×9 = 64. √discriminant = 8. x = (-(-10) ± 8) / (2×1). Solutions: x = 9 or x = 1.\n</reasoning>\nFinal Answer: x = 9 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -543 - 494"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 494 from -543: -543 - 494 = -1037.\n</reasoning>\nFinal Answer: -1037"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 52 × 874"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 52 by 874: 52 × 874 = 45448.\n</reasoning>\nFinal Answer: 45448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 / 11/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/2) ÷ (11/6) = (1/2) × (6/11) = 3/11.\n</reasoning>\nFinal Answer: 3/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 29 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(29+4) = 2×33 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 89, 31, 57, 10, 28, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 28, 31, 31, 57, 89, 98]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:2 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/2, so B = A × (2/8) = 33 × 2/8 = 8.25.\n</reasoning>\nFinal Answer: 8.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -21 = -310"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 17x = -289. Divide by 17: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 10, 16, 17, 19] and B = [3, 4, 6, 14, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 6, 7, 10, 14, 16, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 10, 11, 14, 16, 19] and B = [1, 4, 8, 11, 12, 14, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 11, 14, 19].\n</reasoning>\nFinal Answer: [1, 11, 14, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -14 = 82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 3x = 96. Divide by 3: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 9, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (47-1)×9 = 29 + 414 = 443.\n</reasoning>\nFinal Answer: 443"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 28 * 7 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×7=196, then 10+196-4=202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 32 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 10+1024-45=989.\n</reasoning>\nFinal Answer: 989"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [93, 54, 88, 28, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 333/5 = 66.6.\n</reasoning>\nFinal Answer: 66.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 9, 12] and B = [2, 8, 10], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2].\n</reasoning>\nFinal Answer: [2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 327 + 502"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 327 and 502: 327 + 502 = 829.\n</reasoning>\nFinal Answer: 829"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 20 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -635 ÷ 13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -635 by 13. -635 ÷ 13 = -49 (integer division).\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 41 and 197."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(41,197) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -9 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 2x = -86. Divide by 2: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 195 × -254"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 195 by -254: 195 × -254 = -49530.\n</reasoning>\nFinal Answer: -49530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -610 × -358"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -610 by -358: -610 × -358 = 218380.\n</reasoning>\nFinal Answer: 218380"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 10, 13, 14, 16, 17, 18] and B = [3, 4, 8], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 10, 13, 14, 16, 17, 18].\n</reasoning>\nFinal Answer: [6, 10, 13, 14, 16, 17,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -484 × 705"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -484 by 705: -484 × 705 = -341220.\n</reasoning>\nFinal Answer: -341220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 108 and 108."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(108,108) = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -273 + -198"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -273 and -198: -273 + -198 = -471.\n</reasoning>\nFinal Answer: -471"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -19 = -240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 17x = -221. Divide by 17: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 12 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 12 = 204 worker-days. New time = 204 / 10 = 20.4 days.\n</reasoning>\nFinal Answer: 20.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 66 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 66 × 29 = 957.0.\n</reasoning>\nFinal Answer: 957.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 9) * (16 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+9)=13, (16-34)=-18, then 13×-18=-234.\n</reasoning>\nFinal Answer: -234"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 16 * 12 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×12=192, then 26+192-50=168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 16 = 784.0.\n</reasoning>\nFinal Answer: 784.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 125 km/h. How far does it travel in 1 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 47/60 = 1.7833 hours. Distance = speed × time = 125 × 1.7833 = 222.9167 km.\n</reasoning>\nFinal Answer: 222.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 39 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 15+1521-41=1495.\n</reasoning>\nFinal Answer: 1495"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 38 * 34 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×34=1292, then 46+1292-44=1294.\n</reasoning>\nFinal Answer: 1294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [36, 91, 93, 33, 25, 43, 42, 32, 7, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {36: 1, 91: 1, 93: 1, 33: 1, 25: 1, 43: 1, 42: 1, 32: 1, 7: 1, 31: 1}. Most frequent: [36, 91, 93, 33, 25, 43, 42, 32, 7, 31].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -40 = -22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 3x = 18. Divide by 3: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 * 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/9) × (18/5) = (144/45) = 16/5 after simplification.\n</reasoning>\nFinal Answer: 16/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 20) * (32 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+20)=52, (32-6)=26, then 52×26=1352.\n</reasoning>\nFinal Answer: 1352"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 456 km apart. Their speeds are 71 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+48=119 km/h. Time = 456/119 = 3.8319 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 292 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 292 × (1 - 15/100) = 292 × 0.85 = 248.2.\n</reasoning>\nFinal Answer: 248.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/17 / 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/17) ÷ (2/1) = (13/17) × (1/2) = 13/34.\n</reasoning>\nFinal Answer: 13/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:18 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/18, so B = A × (18/18) = 61 × 18/18 = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -21 = -13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 4x = 8. Divide by 4: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 44, 79, 71, 7, 74, 92, 96, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 616/9 = 68.4444.\n</reasoning>\nFinal Answer: 68.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -2 = 622"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 26x = 624. Divide by 26: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 14 = 896.\n</reasoning>\nFinal Answer: 896"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 73 km/h. How far does it travel in 1 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 45/60 = 1.7500 hours. Distance = speed × time = 73 × 1.7500 = 127.75 km.\n</reasoning>\nFinal Answer: 127.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 - 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/3 - 1/1. LCD = 3. Result = 14/3.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 713 + -122"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 713 and -122: 713 + -122 = 591.\n</reasoning>\nFinal Answer: 591"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+46) = 2×84 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 / 4/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/19) ÷ (4/15) = (11/19) × (15/4) = 165/76.\n</reasoning>\nFinal Answer: 165/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 5 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 19/60 = 5.3167 hours. Distance = speed × time = 177 × 5.3167 = 941.05 km.\n</reasoning>\nFinal Answer: 941.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 10 = -657"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 23x = -667. Divide by 23: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 96, 78, 75, 54, 25, 50, 54, 76, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 631/10 = 63.1.\n</reasoning>\nFinal Answer: 63.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 18 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 18 = 288 worker-days. New time = 288 / 11 = 26.1818 days.\n</reasoning>\nFinal Answer: 26.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 48) * (49 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+48)=49, (49-26)=23, then 49×23=1127.\n</reasoning>\nFinal Answer: 1127"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 31 * 8 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×8=248, then 5+248-49=204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 54, 70, 86, 102]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 16. Next term = 102 + 16 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 280 ÷ 143"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 280 by 143. 280 ÷ 143 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 605 × -350"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 605 by -350: 605 × -350 = -211750.\n</reasoning>\nFinal Answer: -211750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -491 mod 379"
},
{
"role": "assistant",
"content": "<reasoning>\n-491 mod 379: -491 = 379 × -2 + 267, so remainder = 267.\n</reasoning>\nFinal Answer: 267"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 428 - 552"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 552 from 428: 428 - 552 = -124.\n</reasoning>\nFinal Answer: -124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:23 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/23, so B = A × (23/13) = 93 × 23/13 = 164.5385.\n</reasoning>\nFinal Answer: 164.5385"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹4497. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4497 × 5/100 = 224.85. Total = 4497 + 224.85 = 4721.85.\n</reasoning>\nFinal Answer: 4721.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 81 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 81 × 78 = 6318.\n</reasoning>\nFinal Answer: 6318"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 639 × -919"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 639 by -919: 639 × -919 = -587241.\n</reasoning>\nFinal Answer: -587241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 52 = 1560.\n</reasoning>\nFinal Answer: 1560"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 24 + 30 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×24=1080 and 30×28=840, then add: 1920.\n</reasoning>\nFinal Answer: 1920"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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