messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [81, 93, 18, 3, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 3 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹3988. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3988 × 18/100 = 717.84. Total = 3988 + 717.84 = 4705.84.\n</reasoning>\nFinal Answer: 4705.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 44 = 2200.\n</reasoning>\nFinal Answer: 2200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -684 + 313"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -684 and 313: -684 + 313 = -371.\n</reasoning>\nFinal Answer: -371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 937 km apart. Their speeds are 95 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+68=163 km/h. Time = 937/163 = 5.7485 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 10% of 113?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 113 = (10/100) × 113 = 11.3.\n</reasoning>\nFinal Answer: 11.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 11, 13, 14, 16, 17] and B = [1, 2, 11, 12, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 13, 16, 17].\n</reasoning>\nFinal Answer: [5, 13, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 * 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/15) × (3/15) = (42/225) = 14/75 after simplification.\n</reasoning>\nFinal Answer: 14/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -45 = -15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 5x = 30. Divide by 5: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 18, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (27-1)×18 = 1 + 468 = 469.\n</reasoning>\nFinal Answer: 469"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 31 + 5 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×31=868 and 5×3=15, then add: 883.\n</reasoning>\nFinal Answer: 883"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 40% of 357?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 357 = (40/100) × 357 = 142.8.\n</reasoning>\nFinal Answer: 142.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "75 is what percentage of 298?"
},
{
"role": "assistant",
"content": "<reasoning>\n(75/298) × 100 = 25.1678%.\n</reasoning>\nFinal Answer: 25.1678%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 24 = -204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 6x = -228. Divide by 6: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 777 × 987"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 777 by 987: 777 × 987 = 766899.\n</reasoning>\nFinal Answer: 766899"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -1 = 89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 5x = 90. Divide by 5: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 31, 12, 17, 89, 27, 30, 7, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 7 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 758 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 758 × (1 + 90/100) = 758 × 1.9 = 1440.2.\n</reasoning>\nFinal Answer: 1440.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "20 is what percentage of 114?"
},
{
"role": "assistant",
"content": "<reasoning>\n(20/114) × 100 = 17.5439%.\n</reasoning>\nFinal Answer: 17.5439%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 32, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 32 + 37 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 42, 60, 78, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 18. Next term = 96 + 18 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 75 - -840"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -840 from 75: 75 - -840 = 915.\n</reasoning>\nFinal Answer: 915"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 32 = -733"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 17x = -765. Divide by 17: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 48, 18, 79, 61, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 26, 48, 61, 79, 96]. Middle value(s) → median = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×11)/1 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-12)x + (-280) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×4×-280 = 4624. √discriminant = 68. x = (-(-12) ± 68) / (2×4). Solutions: x = -7 or x = 10.\n</reasoning>\nFinal Answer: x = -7 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -10 = -208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 22x = -198. Divide by 22: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -21 = 525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 13x = 546. Divide by 13: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 338 × 581"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 338 by 581: 338 × 581 = 196378.\n</reasoning>\nFinal Answer: 196378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 43, 70, 68, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [43, 48, 58, 68, 70]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 64, 83, 57, 11, 70, 50, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 11 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -18 = 312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 10x = 330. Divide by 10: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 79, 36, 14, 74, 77, 55, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 499/8 = 62.375.\n</reasoning>\nFinal Answer: 62.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 152 km/h. How far does it travel in 10 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 16/60 = 10.2667 hours. Distance = speed × time = 152 × 10.2667 = 1560.5333 km.\n</reasoning>\nFinal Answer: 1560.5333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:25 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/25, so B = A × (25/9) = 48 × 25/9 = 133.3333.\n</reasoning>\nFinal Answer: 133.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 14, and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 14 + 21 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 452 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 452 × (1 + 20/100) = 452 × 1.2 = 542.4.\n</reasoning>\nFinal Answer: 542.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -464 - 929"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 929 from -464: -464 - 929 = -1393.\n</reasoning>\nFinal Answer: -1393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -374 mod -768"
},
{
"role": "assistant",
"content": "<reasoning>\n-374 mod -768: -374 = -768 × 0 + -374, so remainder = -374.\n</reasoning>\nFinal Answer: -374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 83 km/h. How far does it travel in 12 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 34/60 = 12.5667 hours. Distance = speed × time = 83 × 12.5667 = 1043.0333 km.\n</reasoning>\nFinal Answer: 1043.0333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 24 * 1 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×1=24, then 46+24-38=32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -287 mod -305"
},
{
"role": "assistant",
"content": "<reasoning>\n-287 mod -305: -287 = -305 × 0 + -287, so remainder = -287.\n</reasoning>\nFinal Answer: -287"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 146 ÷ 988"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 146 by 988. 146 ÷ 988 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 37 + 13 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×37=1628 and 13×35=455, then add: 2083.\n</reasoning>\nFinal Answer: 2083"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 1) * (30 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+1)=10, (30-6)=24, then 10×24=240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -435 + 857"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -435 and 857: -435 + 857 = 422.\n</reasoning>\nFinal Answer: 422"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -758 × -331"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -758 by -331: -758 × -331 = 250898.\n</reasoning>\nFinal Answer: 250898"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 749 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 749 × (1 - 35/100) = 749 × 0.65 = 486.85.\n</reasoning>\nFinal Answer: 486.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -20 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 26x = -104. Divide by 26: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 90, 47, 91, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 90: 1, 47: 1, 91: 1, 52: 1}. Most frequent: [24, 90, 47, 91, 52].\n</reasoning>\nFinal Answer: [24, 90, 47, 91, 52]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "197 is what percentage of 791?"
},
{
"role": "assistant",
"content": "<reasoning>\n(197/791) × 100 = 24.9052%.\n</reasoning>\nFinal Answer: 24.9052%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 20, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 20 + 25 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 24 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 24 × (1 - 7/100) = 24 × 0.9299999999999999 = 22.32.\n</reasoning>\nFinal Answer: 22.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 162 km/h. How far does it travel in 3 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 44/60 = 3.7333 hours. Distance = speed × time = 162 × 3.7333 = 604.8 km.\n</reasoning>\nFinal Answer: 604.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 777 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 777 × (1 + 15/100) = 777 × 1.15 = 893.55.\n</reasoning>\nFinal Answer: 893.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 - 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/7 - 3/16. LCD = 112. Result = 27/112.\n</reasoning>\nFinal Answer: 27/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 64, 40, 7, 40, 22, 4, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 4 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 * 3/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/14) × (3/2) = (45/28) = 45/28 after simplification.\n</reasoning>\nFinal Answer: 45/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 + 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/8 + 16/16. Common denominator = 8. Result = 27/8.\n</reasoning>\nFinal Answer: 27/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 622 - -863"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -863 from 622: 622 - -863 = 1485.\n</reasoning>\nFinal Answer: 1485"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 72, 19, 72, 26, 1, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 19, 26, 27, 61, 72, 72]. Middle value(s) → median = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -44 = -53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 9x = -9. Divide by 9: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 40) * (40 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+40)=73, (40-42)=-2, then 73×-2=-146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3457. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3457 × 12/100 = 414.84. Total = 3457 + 414.84 = 3871.84.\n</reasoning>\nFinal Answer: 3871.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 9, 16] and B = [4, 13, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 8, 9, 13, 16, 18].\n</reasoning>\nFinal Answer: [1, 4, 8, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 6 + 8 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×6=102 and 8×39=312, then add: 414.\n</reasoning>\nFinal Answer: 414"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 13 = 153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 10x = 140. Divide by 10: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 79, 37, 25, 42, 6, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 15, 25, 37, 42, 79]. Middle value(s) → median = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 39 * 10 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×10=390, then 45+390-35=400.\n</reasoning>\nFinal Answer: 400"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 359 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 359 × (1 - 17/100) = 359 × 0.83 = 297.97.\n</reasoning>\nFinal Answer: 297.97"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 59, 32, 61, 67, 6, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 249/7 = 35.5714.\n</reasoning>\nFinal Answer: 35.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 46 * 18 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×18=828, then 22+828-31=819.\n</reasoning>\nFinal Answer: 819"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 2 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+2) × 7 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [100, 50, 92, 5, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 5 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 49) * (10 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+49)=87, (10-36)=-26, then 87×-26=-2262.\n</reasoning>\nFinal Answer: -2262"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 14) * (5 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+14)=40, (5-27)=-22, then 40×-22=-880.\n</reasoning>\nFinal Answer: -880"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 45, 57, 69, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 12. Next term = 81 + 12 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 81, 98, 66, 33, 70, 92, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 468/8 = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 16 = -212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 19x = -228. Divide by 19: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 5 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+5) × 28 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 146 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 146 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -439 - -257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -257 from -439: -439 - -257 = -182.\n</reasoning>\nFinal Answer: -182"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 39. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 39² = π × 1521 ≈ 4778.3624.\n</reasoning>\nFinal Answer: 4778.3624"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 11, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (34-1)×11 = 12 + 363 = 375.\n</reasoning>\nFinal Answer: 375"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:22 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/22, so B = A × (22/42) = 7 × 22/42 = 3.6667.\n</reasoning>\nFinal Answer: 3.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 50 = 226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 8x = 176. Divide by 8: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 7 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(7+55) = 2×62 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 253 × 415"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 253 by 415: 253 × 415 = 104995.\n</reasoning>\nFinal Answer: 104995"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 46 * 46 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×46=2116, then 29+2116-35=2110.\n</reasoning>\nFinal Answer: 2110"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -24 = 166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 19x = 190. Divide by 19: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+41) = 2×78 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 35 ÷ -670"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 35 by -670. 35 ÷ -670 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 92, 52, 64, 7, 73, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 7 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-4)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×4×-80 = 1296. √discriminant = 36. x = (-(-4) ± 36) / (2×4). Solutions: x = -4 or x = 5.\n</reasoning>\nFinal Answer: x = -4 or x = 5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 6 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 50/60 = 6.8333 hours. Distance = speed × time = 85 × 6.8333 = 580.8333 km.\n</reasoning>\nFinal Answer: 580.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 23, 42, 45, 31, 43, 8, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 267/8 = 33.375.\n</reasoning>\nFinal Answer: 33.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:42 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/42, so B = A × (42/44) = 66 × 42/44 = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 16, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (26-1)×16 = 9 + 400 = 409.\n</reasoning>\nFinal Answer: 409"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -416 × -552"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -416 by -552: -416 × -552 = 229632.\n</reasoning>\nFinal Answer: 229632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 110 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n110 = 2 × 55, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
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