messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 10/13 / 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/13) ÷ (6/8) = (10/13) × (8/6) = 40/39.\n</reasoning>\nFinal Answer: 40/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -720 ÷ -350"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -720 by -350. -720 ÷ -350 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 12] and B = [1, 9, 10, 12, 15, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [10, 15, 16, 18].\n</reasoning>\nFinal Answer: [10, 15, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 572 + -894"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 572 and -894: 572 + -894 = -322.\n</reasoning>\nFinal Answer: -322"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 47 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 47 × 4 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 186 km/h. How far does it travel in 9 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 2/60 = 9.0333 hours. Distance = speed × time = 186 × 9.0333 = 1680.2 km.\n</reasoning>\nFinal Answer: 1680.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 46, 32, 79, 96, 28, 74, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 28, 32, 46, 46, 74, 79, 96]. Middle value(s) → median = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 1, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (14-1)×1 = 6 + 13 = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×47)/1 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "352 is what percentage of 561?"
},
{
"role": "assistant",
"content": "<reasoning>\n(352/561) × 100 = 62.7451%.\n</reasoning>\nFinal Answer: 62.7451%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 433 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 433 × (1 - 50/100) = 433 × 0.5 = 216.5.\n</reasoning>\nFinal Answer: 216.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -22 = -198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 11x = -176. Divide by 11: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 36 = 2772.\n</reasoning>\nFinal Answer: 2772"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 27 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 27 × 10 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 414 + -917"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 414 and -917: 414 + -917 = -503.\n</reasoning>\nFinal Answer: -503"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 103 and 124."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(103,124) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 42 = -423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 15x = -465. Divide by 15: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 62, 6, 30, 79, 67, 73, 66, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 514/9 = 57.1111.\n</reasoning>\nFinal Answer: 57.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 42 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 42 × 39 = 819.0.\n</reasoning>\nFinal Answer: 819.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 19, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (39-1)×19 = 13 + 722 = 735.\n</reasoning>\nFinal Answer: 735"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 672 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 672 × (1 + 17/100) = 672 × 1.17 = 786.24.\n</reasoning>\nFinal Answer: 786.24"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹362. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 362 × 18/100 = 65.16. Total = 362 + 65.16 = 427.16.\n</reasoning>\nFinal Answer: 427.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 25 = -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 1x = -49. Divide by 1: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -396 mod -180"
},
{
"role": "assistant",
"content": "<reasoning>\n-396 mod -180: -396 = -180 × 2 + -36, so remainder = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 + 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/16 + 4/3. Common denominator = 24. Result = 41/24.\n</reasoning>\nFinal Answer: 41/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -536 ÷ -443"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -536 by -443. -536 ÷ -443 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 98, 71, 51, 88, 79, 37, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 592/8 = 74.0.\n</reasoning>\nFinal Answer: 74.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 49 = -1247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 27x = -1296. Divide by 27: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 82 km/h. How far does it travel in 1 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 37/60 = 1.6167 hours. Distance = speed × time = 82 × 1.6167 = 132.5667 km.\n</reasoning>\nFinal Answer: 132.5667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 94, 68, 24, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 335/5 = 67.0.\n</reasoning>\nFinal Answer: 67.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 346 ÷ 849"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 346 by 849. 346 ÷ 849 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 - 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/7 - 9/17. LCD = 119. Result = 226/119.\n</reasoning>\nFinal Answer: 226/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:41 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/41, so B = A × (41/17) = 46 × 41/17 = 110.9412.\n</reasoning>\nFinal Answer: 110.9412"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 26 + 26 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×26=546 and 26×21=546, then add: 1092.\n</reasoning>\nFinal Answer: 1092"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3235. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3235 × 5/100 = 161.75. Total = 3235 + 161.75 = 3396.75.\n</reasoning>\nFinal Answer: 3396.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 12 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+12) × 43 = 1075.0.\n</reasoning>\nFinal Answer: 1075.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -262 mod -774"
},
{
"role": "assistant",
"content": "<reasoning>\n-262 mod -774: -262 = -774 × 0 + -262, so remainder = -262.\n</reasoning>\nFinal Answer: -262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -589 + 567"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -589 and 567: -589 + 567 = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 30 apples and buys 190 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 30 + 190 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -545 mod -810"
},
{
"role": "assistant",
"content": "<reasoning>\n-545 mod -810: -545 = -810 × 0 + -545, so remainder = -545.\n</reasoning>\nFinal Answer: -545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-12)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×2×-80 = 784. √discriminant = 28. x = (-(-12) ± 28) / (2×2). Solutions: x = 10 or x = -4.\n</reasoning>\nFinal Answer: x = 10 or x = -... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:7 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/7, so B = A × (7/23) = 65 × 7/23 = 19.7826.\n</reasoning>\nFinal Answer: 19.7826"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 24 mod -4"
},
{
"role": "assistant",
"content": "<reasoning>\n24 mod -4: 24 = -4 × -6 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 * 12/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/15) × (12/1) = (120/15) = 8 after simplification.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -240 ÷ -741"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -240 by -741. -240 ÷ -741 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -828 - -543"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -543 from -828: -828 - -543 = -285.\n</reasoning>\nFinal Answer: -285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 4 + 34 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×4=156 and 34×3=102, then add: 258.\n</reasoning>\nFinal Answer: 258"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 9 red and 7 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 7/16 = 0.4375.\n</reasoning>\nFinal Answer: 0.4375"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 14 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 14 × 48 = 672.\n</reasoning>\nFinal Answer: 672"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 * 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/18) × (5/13) = (75/234) = 25/78 after simplification.\n</reasoning>\nFinal Answer: 25/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 294 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 294 × (1 - 30/100) = 294 × 0.7 = 205.8.\n</reasoning>\nFinal Answer: 205.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 58 apples and buys 54 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 58 + 54 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -18 = 272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 29x = 290. Divide by 29: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 541 ÷ 299"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 541 by 299. 541 ÷ 299 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 527 ÷ -341"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 527 by -341. 527 ÷ -341 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 15, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (33-1)×15 = 7 + 480 = 487.\n</reasoning>\nFinal Answer: 487"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 278 mod -168"
},
{
"role": "assistant",
"content": "<reasoning>\n278 mod -168: 278 = -168 × -2 + -58, so remainder = -58.\n</reasoning>\nFinal Answer: -58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 8 = -733"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 19x = -741. Divide by 19: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 16, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (43-1)×16 = 26 + 672 = 698.\n</reasoning>\nFinal Answer: 698"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -992 + -454"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -992 and -454: -992 + -454 = -1446.\n</reasoning>\nFinal Answer: -1446"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 + 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/5 + 1/3. Common denominator = 15. Result = 26/15.\n</reasoning>\nFinal Answer: 26/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 97 km/h. How far does it travel in 4 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 3/60 = 4.0500 hours. Distance = speed × time = 97 × 4.0500 = 392.85 km.\n</reasoning>\nFinal Answer: 392.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -9 = -43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 2x = -34. Divide by 2: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 8, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (45-1)×8 = 15 + 352 = 367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 85, 9, 21, 47, 69, 50, 7, 78, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 1 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 653 + -261"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 653 and -261: 653 + -261 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 8 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 8 = 136 worker-days. New time = 136 / 10 = 13.6 days.\n</reasoning>\nFinal Answer: 13.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 10 = 165.0.\n</reasoning>\nFinal Answer: 165.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 19, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (35-1)×19 = 20 + 646 = 666.\n</reasoning>\nFinal Answer: 666"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 + 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/17 + 1/1. Common denominator = 17. Result = 28/17.\n</reasoning>\nFinal Answer: 28/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 45 * 25 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×25=1125, then 3+1125-30=1098.\n</reasoning>\nFinal Answer: 1098"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -27 = 281"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 11x = 308. Divide by 11: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -382 - -173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -173 from -382: -382 - -173 = -209.\n</reasoning>\nFinal Answer: -209"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 46, 93, 35, 35, 48, 91, 10, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 443/9 = 49.2222.\n</reasoning>\nFinal Answer: 49.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:8 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/8, so B = A × (8/40) = 66 × 8/40 = 13.2.\n</reasoning>\nFinal Answer: 13.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 / 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/8) ÷ (8/11) = (17/8) × (11/8) = 187/64.\n</reasoning>\nFinal Answer: 187/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 25, 67, 51, 76, 25, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 319/7 = 45.5714.\n</reasoning>\nFinal Answer: 45.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 44, 50, 56, 48, 91, 13, 22, 39, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 10 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 831 km apart. Their speeds are 46 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+85=131 km/h. Time = 831/131 = 6.3435 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 436 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 436 × (1 - 5/100) = 436 × 0.95 = 414.2.\n</reasoning>\nFinal Answer: 414.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -625 × -301"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -625 by -301: -625 × -301 = 188125.\n</reasoning>\nFinal Answer: 188125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 194 × 65"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 194 by 65: 194 × 65 = 12610.\n</reasoning>\nFinal Answer: 12610"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+96) = 2×140 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 12 = -802"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 22x = -814. Divide by 22: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 9] and B = [1, 3, 10], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 5, 9, 10].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 9, 10]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 76, 36, 96, 12, 94, 57, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 12 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×22)/2 = 506.\n</reasoning>\nFinal Answer: 506"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 127 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(127,42) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 30 = 929"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 29x = 899. Divide by 29: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 45 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 45 × 97 = 4365.\n</reasoning>\nFinal Answer: 4365"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 17, and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 17 + 21 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 16) * (21 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+16)=58, (21-23)=-2, then 58×-2=-116.\n</reasoning>\nFinal Answer: -116"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 152 km/h. How far does it travel in 10 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 27/60 = 10.4500 hours. Distance = speed × time = 152 × 10.4500 = 1588.4 km.\n</reasoning>\nFinal Answer: 1588.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 * 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/2) × (10/10) = (20/20) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -47 = 769"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 17x = 816. Divide by 17: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 81 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 81 × 86 = 6966.\n</reasoning>\nFinal Answer: 6966"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -34 = -774"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 20x = -740. Divide by 20: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 600 km apart. Their speeds are 102 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+97=199 km/h. Time = 600/199 = 3.0151 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 28 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 28 = 504 worker-days. New time = 504 / 5 = 100.8 days.\n</reasoning>\nFinal Answer: 100.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 * 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/13) × (13/14) = (13/182) = 1/14 after simplification.\n</reasoning>\nFinal Answer: 1/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
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