messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 31 + 38 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×31=186 and 38×18=684, then add: 870.\n</reasoning>\nFinal Answer: 870"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 389 × 639"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 389 by 639: 389 × 639 = 248571.\n</reasoning>\nFinal Answer: 248571"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "1 is what percentage of 439?"
},
{
"role": "assistant",
"content": "<reasoning>\n(1/439) × 100 = 0.2278%.\n</reasoning>\nFinal Answer: 0.2278%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 31) * (48 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+31)=69, (48-43)=5, then 69×5=345.\n</reasoning>\nFinal Answer: 345"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 14 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+14) × 46 = 897.0.\n</reasoning>\nFinal Answer: 897.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 217 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 217 × (1 - 70/100) = 217 × 0.30000000000000004 = 65.1.\n</reasoning>\nFinal Answer: 65.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 8, 10, 15, 17] and B = [4, 8, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 6, 7, 8, 10, 14, 15, 17].\n</reasoning>\nFinal Answer: [4, 6, 7, 8, 10, 14, 15, 17]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 54 = 810.\n</reasoning>\nFinal Answer: 810"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 3 + 47 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×3=69 and 47×27=1269, then add: 1338.\n</reasoning>\nFinal Answer: 1338"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:10 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/10, so B = A × (10/33) = 100 × 10/33 = 30.303.\n</reasoning>\nFinal Answer: 30.303"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -8 = 538"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 13x = 546. Divide by 13: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "211 is what percentage of 392?"
},
{
"role": "assistant",
"content": "<reasoning>\n(211/392) × 100 = 53.8265%.\n</reasoning>\nFinal Answer: 53.8265%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 552 × 918"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 552 by 918: 552 × 918 = 506736.\n</reasoning>\nFinal Answer: 506736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 6 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 10/60 = 6.1667 hours. Distance = speed × time = 182 × 6.1667 = 1122.3333 km.\n</reasoning>\nFinal Answer: 1122.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 86, 70, 47, 67, 19, 70, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 19, 34, 47, 67, 70, 70, 86]. Middle value(s) → median = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 / 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/7) ÷ (7/2) = (10/7) × (2/7) = 20/49.\n</reasoning>\nFinal Answer: 20/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 18, 38, 43, 74, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 18: 1, 38: 1, 43: 1, 74: 1, 6: 1}. Most frequent: [22, 18, 38, 43, 74, 6].\n</reasoning>\nFinal Answer: [22, 18, 38, 43, 74, 6]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 381 × 1000"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 381 by 1000: 381 × 1000 = 381000.\n</reasoning>\nFinal Answer: 381000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 744 × -740"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 744 by -740: 744 × -740 = -550560.\n</reasoning>\nFinal Answer: -550560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 43 * 14 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×14=602, then 34+602-13=623.\n</reasoning>\nFinal Answer: 623"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 14, 93, 50, 52, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 14: 1, 93: 1, 50: 1, 52: 1, 39: 1}. Most frequent: [91, 14, 93, 50, 52, 39].\n</reasoning>\nFinal Answer: [91, 14, 93, 50, 52, 39]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 31, 83, 49, 54, 10, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 31, 39, 49, 54, 83, 98]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:11 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/11, so B = A × (11/15) = 74 × 11/15 = 54.2667.\n</reasoning>\nFinal Answer: 54.2667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 18 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+18) × 27 = 486.0.\n</reasoning>\nFinal Answer: 486.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 658 ÷ -202"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 658 by -202. 658 ÷ -202 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 7 = 645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 29x = 638. Divide by 29: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 403 + -544"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 403 and -544: 403 + -544 = -141.\n</reasoning>\nFinal Answer: -141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 50 = 525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 25x = 475. Divide by 25: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 74 and 177."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(74,177) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "133 is what percentage of 887?"
},
{
"role": "assistant",
"content": "<reasoning>\n(133/887) × 100 = 14.9944%.\n</reasoning>\nFinal Answer: 14.9944%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 1 + 35 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×1=23 and 35×36=1260, then add: 1283.\n</reasoning>\nFinal Answer: 1283"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×37)/1 = 1443.\n</reasoning>\nFinal Answer: 1443"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16599 at 20% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16599 × 20 × 9 / 100 = 29878.2.\n</reasoning>\nFinal Answer: 29878.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 24) * (36 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+24)=47, (36-40)=-4, then 47×-4=-188.\n</reasoning>\nFinal Answer: -188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 8, 10, 12, 17, 18] and B = [1, 6, 8, 11, 14, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 6, 8, 10, 11, 12, 14, 17, 18].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 46 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 18x = -180. Divide by 18: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 * 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/4) × (9/8) = (117/32) = 117/32 after simplification.\n</reasoning>\nFinal Answer: 117/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10107 at 8% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10107 × 8 × 10 / 100 = 8085.6.\n</reasoning>\nFinal Answer: 8085.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 154 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 154 + 8 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 8 = -317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 13x = -325. Divide by 13: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 19, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 19 + 27 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 46, 40, 95, 54, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 46: 1, 40: 1, 95: 1, 54: 1, 19: 1}. Most frequent: [33, 46, 40, 95, 54, 19].\n</reasoning>\nFinal Answer: [33, 46, 40, 95, 54, 19]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 2 = 926"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 21x = 924. Divide by 21: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 34 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 8+1156-34=1130.\n</reasoning>\nFinal Answer: 1130"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -26 = -1076"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 25x = -1050. Divide by 25: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 12 + 31 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×12=168 and 31×5=155, then add: 323.\n</reasoning>\nFinal Answer: 323"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:32 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/32, so B = A × (32/15) = 72 × 32/15 = 153.6.\n</reasoning>\nFinal Answer: 153.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 601 km apart. Their speeds are 99 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+86=185 km/h. Time = 601/185 = 3.2486 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -313 - -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -182 from -313: -313 - -182 = -131.\n</reasoning>\nFinal Answer: -131"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 / 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/3) ÷ (6/3) = (6/3) × (3/6) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:21 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/21, so B = A × (21/15) = 53 × 21/15 = 74.2.\n</reasoning>\nFinal Answer: 74.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:16 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/16, so B = A × (16/40) = 36 × 16/40 = 14.4.\n</reasoning>\nFinal Answer: 14.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 9 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(9+59) = 2×68 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 80 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 80 × 71 = 2840.0.\n</reasoning>\nFinal Answer: 2840.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -233 mod 274"
},
{
"role": "assistant",
"content": "<reasoning>\n-233 mod 274: -233 = 274 × -1 + 41, so remainder = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -570 + -600"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -570 and -600: -570 + -600 = -1170.\n</reasoning>\nFinal Answer: -1170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 64, 19, 44, 99, 47, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 390/7 = 55.7143.\n</reasoning>\nFinal Answer: 55.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 14, 16] and B = [6, 7, 8, 11, 13, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 19 = 19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 10x = 0. Divide by 10: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 18) * (17 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+18)=20, (17-27)=-10, then 20×-10=-200.\n</reasoning>\nFinal Answer: -200"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 39 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+39) × 37 = 1350.5.\n</reasoning>\nFinal Answer: 1350.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22564 at 12% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22564 × 12 × 2 / 100 = 5415.36.\n</reasoning>\nFinal Answer: 5415.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 * 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/4) × (2/4) = (14/16) = 7/8 after simplification.\n</reasoning>\nFinal Answer: 7/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 46 + 24 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×46=276 and 24×26=624, then add: 900.\n</reasoning>\nFinal Answer: 900"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -46 = -141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 5x = -95. Divide by 5: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 11 = 357.5.\n</reasoning>\nFinal Answer: 357.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 11) * (48 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+11)=26, (48-42)=6, then 26×6=156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 47 = 1167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 28x = 1120. Divide by 28: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 13 + 43 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×13=208 and 43×10=430, then add: 638.\n</reasoning>\nFinal Answer: 638"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 22) * (5 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+22)=24, (5-40)=-35, then 24×-35=-840.\n</reasoning>\nFinal Answer: -840"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2879. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2879 × 28/100 = 806.12. Total = 2879 + 806.12 = 3685.12.\n</reasoning>\nFinal Answer: 3685.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:9 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/9, so B = A × (9/28) = 77 × 9/28 = 24.75.\n</reasoning>\nFinal Answer: 24.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:12 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/12, so B = A × (12/33) = 68 × 12/33 = 24.7273.\n</reasoning>\nFinal Answer: 24.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 15 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 15 × 83 = 1245.\n</reasoning>\nFinal Answer: 1245"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 17 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 17+289-35=271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:47 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/47, so B = A × (47/8) = 69 × 47/8 = 405.375.\n</reasoning>\nFinal Answer: 405.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 25, 16, 83, 1, 48, 62, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 25: 1, 16: 1, 83: 1, 1: 1, 48: 1, 62: 1, 94: 1}. Most frequent: [39, 25, 16, 83, 1, 48, 62, 94].\n</reasoning>\nFinal Answer: [39, 25, 16... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 9] and B = [1, 3, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 6, 9, 11].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 9, 11]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 51, 7, 16, 98, 66, 18, 49, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 7 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -329 mod -281"
},
{
"role": "assistant",
"content": "<reasoning>\n-329 mod -281: -329 = -281 × 1 + -48, so remainder = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:14 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/14, so B = A × (14/22) = 37 × 14/22 = 23.5455.\n</reasoning>\nFinal Answer: 23.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:32 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/32, so B = A × (32/9) = 94 × 32/9 = 334.2222.\n</reasoning>\nFinal Answer: 334.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×39)/3 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 63 apples and buys 186 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 63 + 186 = 249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:38 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/38, so B = A × (38/50) = 57 × 38/50 = 43.32.\n</reasoning>\nFinal Answer: 43.32"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "254 is what percentage of 771?"
},
{
"role": "assistant",
"content": "<reasoning>\n(254/771) × 100 = 32.9442%.\n</reasoning>\nFinal Answer: 32.9442%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29811 at 16% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29811 × 16 × 10 / 100 = 47697.6.\n</reasoning>\nFinal Answer: 47697.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 56, 29, 4, 67, 50, 52, 83, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 4 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 812 - 227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 227 from 812: 812 - 227 = 585.\n</reasoning>\nFinal Answer: 585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 22, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 22 + 39 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "639 is what percentage of 982?"
},
{
"role": "assistant",
"content": "<reasoning>\n(639/982) × 100 = 65.0713%.\n</reasoning>\nFinal Answer: 65.0713%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 14, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (44-1)×14 = 4 + 602 = 606.\n</reasoning>\nFinal Answer: 606"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 151 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 151 × (1 - 12/100) = 151 × 0.88 = 132.88.\n</reasoning>\nFinal Answer: 132.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 14 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 14 = 84 worker-days. New time = 84 / 15 = 5.6 days.\n</reasoning>\nFinal Answer: 5.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21556 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21556 × 17 × 4 / 100 = 14658.08.\n</reasoning>\nFinal Answer: 14658.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 32 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+32) × 1 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 97, 41, 89, 28, 19, 32, 71, 52, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 28, 32, 41, 52, 61, 71, 89, 97, 98]. Middle value(s) → median = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×36)/12 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:30 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/30, so B = A × (30/28) = 17 × 30/28 = 18.2143.\n</reasoning>\nFinal Answer: 18.2143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 673 - 258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 258 from 673: 673 - 258 = 415.\n</reasoning>\nFinal Answer: 415"
}
] | medium | [
"arithmetic",
"computation"
] |
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