messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 40% of 291?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 291 = (40/100) × 291 = 116.4.\n</reasoning>\nFinal Answer: 116.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 93 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 93 × 79 = 3673.5.\n</reasoning>\nFinal Answer: 3673.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -6 = 138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 24x = 144. Divide by 24: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 654 ÷ 485"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 654 by 485. 654 ÷ 485 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 12, 52, 15, 12, 44, 75, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 12, 15, 44, 52, 63, 75, 97]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 + 14/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/2 + 14/10. Common denominator = 10. Result = 39/10.\n</reasoning>\nFinal Answer: 39/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:22 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/22, so B = A × (22/30) = 46 × 22/30 = 33.7333.\n</reasoning>\nFinal Answer: 33.7333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -841 mod -899"
},
{
"role": "assistant",
"content": "<reasoning>\n-841 mod -899: -841 = -899 × 0 + -841, so remainder = -841.\n</reasoning>\nFinal Answer: -841"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -601 + -206"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -601 and -206: -601 + -206 = -807.\n</reasoning>\nFinal Answer: -807"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 29 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 18+841-33=826.\n</reasoning>\nFinal Answer: 826"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 - 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/15 - 1/20. LCD = 20. Result = 7/20.\n</reasoning>\nFinal Answer: 7/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -661 mod 766"
},
{
"role": "assistant",
"content": "<reasoning>\n-661 mod 766: -661 = 766 × -1 + 105, so remainder = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (8)x + (4) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×4×4 = 0. √discriminant = 0. x = (-(8) ± 0) / (2×4). Solutions: x = -1 (double root).\n</reasoning>\nFinal Answer: x = -1 (double root)"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 73, 82, 89, 36, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 73: 1, 82: 1, 89: 1, 36: 1, 1: 1}. Most frequent: [39, 73, 82, 89, 36, 1].\n</reasoning>\nFinal Answer: [39, 73, 82, 89, 36, 1]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 14 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 11+196-30=177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 15 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 15 = 60 worker-days. New time = 60 / 18 = 3.3333 days.\n</reasoning>\nFinal Answer: 3.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 68 + 38"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 68 and 38: 68 + 38 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 4 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+4) × 45 = 337.5.\n</reasoning>\nFinal Answer: 337.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 6, 6, 87, 93, 30, 8, 71, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 5 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 102 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 102 × (1 - 50/100) = 102 × 0.5 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -822 + -877"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -822 and -877: -822 + -877 = -1699.\n</reasoning>\nFinal Answer: -1699"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 16."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 16: factors are [1, 2, 4, 8, 16].\n</reasoning>\nFinal Answer: [1, 2, 4, 8, 16]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "91 is what percentage of 817?"
},
{
"role": "assistant",
"content": "<reasoning>\n(91/817) × 100 = 11.1383%.\n</reasoning>\nFinal Answer: 11.1383%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 362 × 651"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 362 by 651: 362 × 651 = 235662.\n</reasoning>\nFinal Answer: 235662"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 5) * (21 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+5)=23, (21-24)=-3, then 23×-3=-69.\n</reasoning>\nFinal Answer: -69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 89."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,89) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "29 is what percentage of 202?"
},
{
"role": "assistant",
"content": "<reasoning>\n(29/202) × 100 = 14.3564%.\n</reasoning>\nFinal Answer: 14.3564%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 9 = 1089"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 30x = 1080. Divide by 30: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -323 ÷ -782"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -323 by -782. -323 ÷ -782 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 9 = 450"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 21x = 441. Divide by 21: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 42 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 42 × 36 = 756.0.\n</reasoning>\nFinal Answer: 756.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:29 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/29, so B = A × (29/22) = 10 × 29/22 = 13.1818.\n</reasoning>\nFinal Answer: 13.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "352 is what percentage of 428?"
},
{
"role": "assistant",
"content": "<reasoning>\n(352/428) × 100 = 82.243%.\n</reasoning>\nFinal Answer: 82.243%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 / 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/4) ÷ (7/2) = (12/4) × (2/7) = 6/7.\n</reasoning>\nFinal Answer: 6/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 65 km/h. How far does it travel in 10 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 18/60 = 10.3000 hours. Distance = speed × time = 65 × 10.3000 = 669.5 km.\n</reasoning>\nFinal Answer: 669.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 62 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 62 × 87 = 5394.\n</reasoning>\nFinal Answer: 5394"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 514 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 514 × (1 + 17/100) = 514 × 1.17 = 601.38.\n</reasoning>\nFinal Answer: 601.38"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:45 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/45, so B = A × (45/4) = 2 × 45/4 = 22.5.\n</reasoning>\nFinal Answer: 22.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 1, 72, 77, 69, 35, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 19, 35, 69, 71, 72, 77]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -230 mod 962"
},
{
"role": "assistant",
"content": "<reasoning>\n-230 mod 962: -230 = 962 × -1 + 732, so remainder = 732.\n</reasoning>\nFinal Answer: 732"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -26 = 478"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 18x = 504. Divide by 18: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 56, 11, 78, 56, 32, 10, 48, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 11, 24, 27, 32, 48, 56, 56, 78]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 34 = -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 8x = -216. Divide by 8: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 24 = -111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 15x = -135. Divide by 15: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19284 at 15% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19284 × 15 × 7 / 100 = 20248.2.\n</reasoning>\nFinal Answer: 20248.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "137 is what percentage of 213?"
},
{
"role": "assistant",
"content": "<reasoning>\n(137/213) × 100 = 64.3192%.\n</reasoning>\nFinal Answer: 64.3192%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×37)/1 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 7 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(7,24) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 12, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (21-1)×12 = 26 + 240 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49891 at 2% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49891 × 2 × 8 / 100 = 7982.56.\n</reasoning>\nFinal Answer: 7982.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 59 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(59+90) = 2×149 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 152 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(152,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -47 = -565"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 14x = -518. Divide by 14: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4638. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4638 × 28/100 = 1298.64. Total = 4638 + 1298.64 = 5936.64.\n</reasoning>\nFinal Answer: 5936.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 881 × 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 881 by 8: 881 × 8 = 7048.\n</reasoning>\nFinal Answer: 7048"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 78 = 3354.0.\n</reasoning>\nFinal Answer: 3354.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -47 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 3x = -3. Divide by 3: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -506 ÷ -779"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -506 by -779. -506 ÷ -779 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 89, 56, 67, 4, 34, 52, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 4 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 563 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 563 × (1 + 65/100) = 563 × 1.65 = 928.95.\n</reasoning>\nFinal Answer: 928.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 398 km apart. Their speeds are 105 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+94=199 km/h. Time = 398/199 = 2.0 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 8 = 296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 6x = 288. Divide by 6: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 871 + -396"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 871 and -396: 871 + -396 = 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 754 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 754 × (1 + 45/100) = 754 × 1.45 = 1093.3.\n</reasoning>\nFinal Answer: 1093.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 21 * 15 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×15=315, then 43+315-11=347.\n</reasoning>\nFinal Answer: 347"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 100 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 100 × 27 = 2700.\n</reasoning>\nFinal Answer: 2700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3615. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3615 × 5/100 = 180.75. Total = 3615 + 180.75 = 3795.75.\n</reasoning>\nFinal Answer: 3795.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 772 + 387"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 772 and 387: 772 + 387 = 1159.\n</reasoning>\nFinal Answer: 1159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 2 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 19+4-47=-24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -130 - 475"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 475 from -130: -130 - 475 = -605.\n</reasoning>\nFinal Answer: -605"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 5 * 39 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×39=195, then 3+195-50=148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (27)x + (42) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 27² - 4×3×42 = 225. √discriminant = 15. x = (-(27) ± 15) / (2×3). Solutions: x = -2 or x = -7.\n</reasoning>\nFinal Answer: x = -2 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 102 apples and buys 53 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 102 + 53 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 11 * 44 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×44=484, then 38+484-34=488.\n</reasoning>\nFinal Answer: 488"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 8, 96, 68, 48, 65, 28, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 8: 1, 96: 1, 68: 1, 48: 1, 65: 1, 28: 1, 45: 1}. Most frequent: [50, 8, 96, 68, 48, 65, 28, 45].\n</reasoning>\nFinal Answer: [50, 8, 96,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 5, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (19-1)×5 = 34 + 90 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 11 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+11) × 21 = 367.5.\n</reasoning>\nFinal Answer: 367.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 5 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 5 = 50 worker-days. New time = 50 / 10 = 5.0 days.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/18 - 10/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/18 - 10/7. LCD = 126. Result = -131/126.\n</reasoning>\nFinal Answer: -131/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/17 * 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/17) × (10/13) = (150/221) = 150/221 after simplification.\n</reasoning>\nFinal Answer: 150/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 30% of 663?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 663 = (30/100) × 663 = 198.9.\n</reasoning>\nFinal Answer: 198.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [31, 46, 61, 76, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 31 and common difference 15. Next term = 91 + 15 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:39 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/39, so B = A × (39/22) = 35 × 39/22 = 62.0455.\n</reasoning>\nFinal Answer: 62.0455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 64 = 384.\n</reasoning>\nFinal Answer: 384"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 10 = -1390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 28x = -1400. Divide by 28: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 710 km apart. Their speeds are 69 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+95=164 km/h. Time = 710/164 = 4.3293 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 53, 48, 67, 54, 36, 17, 28, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 28, 29, 36, 48, 53, 54, 67, 96]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [9, 11, 12, 13, 16, 17] and B = [13, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 11, 12, 16].\n</reasoning>\nFinal Answer: [9, 11, 12, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 75 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 75 × 30 = 1125.0.\n</reasoning>\nFinal Answer: 1125.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 + 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/18 + 12/20. Common denominator = 90. Result = 149/90.\n</reasoning>\nFinal Answer: 149/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 40) * (33 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+40)=89, (33-18)=15, then 89×15=1335.\n</reasoning>\nFinal Answer: 1335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 964 km apart. Their speeds are 89 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+84=173 km/h. Time = 964/173 = 5.5723 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 799 - -214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -214 from 799: 799 - -214 = 1013.\n</reasoning>\nFinal Answer: 1013"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -312 mod 370"
},
{
"role": "assistant",
"content": "<reasoning>\n-312 mod 370: -312 = 370 × -1 + 58, so remainder = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 5 * 4 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×4=20, then 20+20-38=2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 20 * 45 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×45=900, then 9+900-48=861.\n</reasoning>\nFinal Answer: 861"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 99, 88, 37, 49, 86, 5, 47, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 99: 1, 88: 1, 37: 1, 49: 1, 86: 1, 5: 1, 47: 1, 16: 1}. Most frequent: [27, 99, 88, 37, 49, 86, 5, 47, 16].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 13 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(13+73) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -342 × -541"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -342 by -541: -342 × -541 = 185022.\n</reasoning>\nFinal Answer: 185022"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1055. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1055 × 12/100 = 126.6. Total = 1055 + 126.6 = 1181.6.\n</reasoning>\nFinal Answer: 1181.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
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