messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 857 × -755"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 857 by -755: 857 × -755 = -647035.\n</reasoning>\nFinal Answer: -647035"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -42 = 530"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 13x = 572. Divide by 13: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 861 - -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -58 from 861: 861 - -58 = 919.\n</reasoning>\nFinal Answer: 919"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 174 km/h. How far does it travel in 9 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 49/60 = 9.8167 hours. Distance = speed × time = 174 × 9.8167 = 1708.1 km.\n</reasoning>\nFinal Answer: 1708.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -11 = -998"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 21x = -987. Divide by 21: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 75% of 457?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 457 = (75/100) × 457 = 342.75.\n</reasoning>\nFinal Answer: 342.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 24 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 42+576-3=615.\n</reasoning>\nFinal Answer: 615"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -35 = -595"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 20x = -560. Divide by 20: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -465 - 139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 139 from -465: -465 - 139 = -604.\n</reasoning>\nFinal Answer: -604"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 38, 33, 72, 16, 60, 23, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 16 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 8 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 8 = 88 worker-days. New time = 88 / 17 = 5.1765 days.\n</reasoning>\nFinal Answer: 5.1765"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 90, 66, 10, 94, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 10 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 57 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 57 × (1 - 7/100) = 57 × 0.9299999999999999 = 53.01.\n</reasoning>\nFinal Answer: 53.01"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 18 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 47+324-7=364.\n</reasoning>\nFinal Answer: 364"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 - 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/12 - 20/7. LCD = 84. Result = -191/84.\n</reasoning>\nFinal Answer: -191/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 + 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/18 + 18/16. Common denominator = 24. Result = 35/24.\n</reasoning>\nFinal Answer: 35/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 74 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 74 × 7 = 518.\n</reasoning>\nFinal Answer: 518"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 88 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 88 × 97 = 8536.\n</reasoning>\nFinal Answer: 8536"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48771 at 15% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48771 × 15 × 3 / 100 = 21946.95.\n</reasoning>\nFinal Answer: 21946.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:25 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/25, so B = A × (25/47) = 87 × 25/47 = 46.2766.\n</reasoning>\nFinal Answer: 46.2766"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 136 km/h. How far does it travel in 4 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 59/60 = 4.9833 hours. Distance = speed × time = 136 × 4.9833 = 677.7333 km.\n</reasoning>\nFinal Answer: 677.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 72, 16, 57, 59, 28, 85, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 500/8 = 62.5.\n</reasoning>\nFinal Answer: 62.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 1 + 40 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×1=11 and 40×26=1040, then add: 1051.\n</reasoning>\nFinal Answer: 1051"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 49) * (29 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+49)=75, (29-11)=18, then 75×18=1350.\n</reasoning>\nFinal Answer: 1350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 2 + 46 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×2=46 and 46×48=2208, then add: 2254.\n</reasoning>\nFinal Answer: 2254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 45 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 46+2025-43=2028.\n</reasoning>\nFinal Answer: 2028"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹630. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 630 × 12/100 = 75.6. Total = 630 + 75.6 = 705.6.\n</reasoning>\nFinal Answer: 705.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹122. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 122 × 12/100 = 14.64. Total = 122 + 14.64 = 136.64.\n</reasoning>\nFinal Answer: 136.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -33 = 1069"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 29x = 1102. Divide by 29: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 41, 66, 38, 79, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 41: 1, 66: 1, 38: 1, 79: 1, 61: 1}. Most frequent: [46, 41, 66, 38, 79, 61].\n</reasoning>\nFinal Answer: [46, 41, 66, 38, 79, 61]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -549 + -648"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -549 and -648: -549 + -648 = -1197.\n</reasoning>\nFinal Answer: -1197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:10 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/10, so B = A × (10/37) = 93 × 10/37 = 25.1351.\n</reasoning>\nFinal Answer: 25.1351"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [8, 15, 18] and B = [3, 14, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 8, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [3, 8, 14, 15, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 * 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/15) × (2/16) = (2/240) = 1/120 after simplification.\n</reasoning>\nFinal Answer: 1/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [26, 29, 32, 35, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 26 and common difference 3. Next term = 38 + 3 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 8, 12, 14] and B = [1, 4, 8, 11, 13, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 14].\n</reasoning>\nFinal Answer: [8, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [7, 27, 31, 46, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 23, 27, 31, 46]. Middle value(s) → median = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 363 × 800"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 363 by 800: 363 × 800 = 290400.\n</reasoning>\nFinal Answer: 290400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 22 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 22 × 20 = 440.\n</reasoning>\nFinal Answer: 440"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [75, 92, 73, 26, 97, 67, 32, 17, 58, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 26, 32, 44, 58, 67, 73, 75, 92, 97]. Middle value(s) → median = 62.5.\n</reasoning>\nFinal Answer: 62.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:40 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/40, so B = A × (40/21) = 15 × 40/21 = 28.5714.\n</reasoning>\nFinal Answer: 28.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 77, 93, 67, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 323/5 = 64.6.\n</reasoning>\nFinal Answer: 64.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 6 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+6) × 45 = 202.5.\n</reasoning>\nFinal Answer: 202.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 31 * 8 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×8=248, then 8+248-12=244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:13 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/13, so B = A × (13/4) = 31 × 13/4 = 100.75.\n</reasoning>\nFinal Answer: 100.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 14 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 9+196-17=188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -37 = -837"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 20x = -800. Divide by 20: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 + 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/19 + 3/16. Common denominator = 304. Result = 201/304.\n</reasoning>\nFinal Answer: 201/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 1 = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -694 - -488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -488 from -694: -694 - -488 = -206.\n</reasoning>\nFinal Answer: -206"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 28 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 28 × 93 = 2604.\n</reasoning>\nFinal Answer: 2604"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 20 = 212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 24x = 192. Divide by 24: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 36 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 26+1296-27=1295.\n</reasoning>\nFinal Answer: 1295"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -23 = 21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 11x = 44. Divide by 11: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -370 mod 372"
},
{
"role": "assistant",
"content": "<reasoning>\n-370 mod 372: -370 = 372 × -1 + 2, so remainder = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -997 × 171"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -997 by 171: -997 × 171 = -170487.\n</reasoning>\nFinal Answer: -170487"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 160 and 194."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(160,194) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 40% of 471?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 471 = (40/100) × 471 = 188.4.\n</reasoning>\nFinal Answer: 188.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 32 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 46+1024-27=1043.\n</reasoning>\nFinal Answer: 1043"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+27) = 2×103 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [31, 52, 75, 44, 29, 59, 13, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {31: 1, 52: 1, 75: 1, 44: 1, 29: 1, 59: 1, 13: 1, 55: 1}. Most frequent: [31, 52, 75, 44, 29, 59, 13, 55].\n</reasoning>\nFinal Answer: [31, 52,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -369 ÷ -653"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -369 by -653. -369 ÷ -653 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/17 - 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/17 - 7/10. LCD = 170. Result = -49/170.\n</reasoning>\nFinal Answer: -49/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:37 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/37, so B = A × (37/38) = 20 × 37/38 = 19.4737.\n</reasoning>\nFinal Answer: 19.4737"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -2 = 205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 9x = 207. Divide by 9: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 41 mod 759"
},
{
"role": "assistant",
"content": "<reasoning>\n41 mod 759: 41 = 759 × 0 + 41, so remainder = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 2 * 5 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×5=10, then 1+10-2=9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 135 km/h. How far does it travel in 12 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 56/60 = 12.9333 hours. Distance = speed × time = 135 × 12.9333 = 1746.0 km.\n</reasoning>\nFinal Answer: 1746.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [26, 35, 44, 53, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 26 and common difference 9. Next term = 62 + 9 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -16 = -1048"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 24x = -1032. Divide by 24: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 6 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 6 = 54 worker-days. New time = 54 / 2 = 27.0 days.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 48, 3, 12, 82, 26, 93, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 48: 1, 3: 1, 12: 1, 82: 1, 26: 1, 93: 1, 38: 1}. Most frequent: [58, 48, 3, 12, 82, 26, 93, 38].\n</reasoning>\nFinal Answer: [58, 48, 3,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:50 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/50, so B = A × (50/15) = 80 × 50/15 = 266.6667.\n</reasoning>\nFinal Answer: 266.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 145 km/h. How far does it travel in 6 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 6/60 = 6.1000 hours. Distance = speed × time = 145 × 6.1000 = 884.5 km.\n</reasoning>\nFinal Answer: 884.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -339 + 444"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -339 and 444: -339 + 444 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 832 × 299"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 832 by 299: 832 × 299 = 248768.\n</reasoning>\nFinal Answer: 248768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 15 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 45+225-14=256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 58 = 5336.\n</reasoning>\nFinal Answer: 5336"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 * 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/14) × (2/16) = (38/224) = 19/112 after simplification.\n</reasoning>\nFinal Answer: 19/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 - 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/12 - 19/14. LCD = 42. Result = -11/21.\n</reasoning>\nFinal Answer: -11/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 52, 9, 25, 2, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 174/6 = 29.0.\n</reasoning>\nFinal Answer: 29.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -530 - 513"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 513 from -530: -530 - 513 = -1043.\n</reasoning>\nFinal Answer: -1043"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 32 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 20+1024-33=1011.\n</reasoning>\nFinal Answer: 1011"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -241 - -906"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -906 from -241: -241 - -906 = 665.\n</reasoning>\nFinal Answer: 665"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [47, 86, 69, 97, 44, 71, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 44, 47, 69, 71, 86, 97]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 430 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 430 × (1 - 75/100) = 430 × 0.25 = 107.5.\n</reasoning>\nFinal Answer: 107.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 880 km apart. Their speeds are 76 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+84=160 km/h. Time = 880/160 = 5.5 hours.\n</reasoning>\nFinal Answer: 5... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 84, 80, 21, 97, 18, 81, 16, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 8 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:41 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/41, so B = A × (41/7) = 50 × 41/7 = 292.8571.\n</reasoning>\nFinal Answer: 292.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 362."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 362 by smallest primes repeatedly: 362 = 2 × 181.\n</reasoning>\nFinal Answer: 2 × 181"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -171 ÷ 946"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -171 by 946. -171 ÷ 946 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/2 / 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/2) ÷ (3/12) = (16/2) × (12/3) = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 7 * 29 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×29=203, then 28+203-43=188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 1 = 736"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 21x = 735. Divide by 21: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 14, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (19-1)×14 = 43 + 252 = 295.\n</reasoning>\nFinal Answer: 295"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 34 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 34 × (1 + 70/100) = 34 × 1.7 = 57.8.\n</reasoning>\nFinal Answer: 57.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 361 × 757"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 361 by 757: 361 × 757 = 273277.\n</reasoning>\nFinal Answer: 273277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -656 × 335"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -656 by 335: -656 × 335 = -219760.\n</reasoning>\nFinal Answer: -219760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -478 - -184"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -184 from -478: -478 - -184 = -294.\n</reasoning>\nFinal Answer: -294"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -24 = 112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 17x = 136. Divide by 17: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
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