messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 12 mod 752"
},
{
"role": "assistant",
"content": "<reasoning>\n12 mod 752: 12 = 752 × 0 + 12, so remainder = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 30 × -4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 30 by -4: 30 × -4 = -120.\n</reasoning>\nFinal Answer: -120"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 50 = 410"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 15x = 360. Divide by 15: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 3 = 183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 4x = 180. Divide by 4: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22843 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22843 × 10 × 6 / 100 = 13705.8.\n</reasoning>\nFinal Answer: 13705.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 32 = -896"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 29x = -928. Divide by 29: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 937 ÷ 514"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 937 by 514. 937 ÷ 514 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:49 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/49, so B = A × (49/11) = 64 × 49/11 = 285.0909.\n</reasoning>\nFinal Answer: 285.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 876 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 876 × (1 + 10/100) = 876 × 1.1 = 963.6.\n</reasoning>\nFinal Answer: 963.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -34 = 194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 12x = 228. Divide by 12: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 - 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/16 - 18/17. LCD = 272. Result = -169/272.\n</reasoning>\nFinal Answer: -169/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 9, 16] and B = [3, 6, 7, 9, 12, 16, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4].\n</reasoning>\nFinal Answer: [4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 8 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 8x = 24. Divide by 8: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 89 = 4450.\n</reasoning>\nFinal Answer: 4450"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 72, 2, 71, 59, 8, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 2 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 9, 11] and B = [1, 5, 6, 9, 10, 13, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 6, 10, 11, 13, 17, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -136 ÷ 685"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -136 by 685. -136 ÷ 685 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -41 = -133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 4x = -92. Divide by 4: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -827 - -434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -434 from -827: -827 - -434 = -393.\n</reasoning>\nFinal Answer: -393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -16 = -196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 18x = -180. Divide by 18: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 72 apples and buys 88 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 72 + 88 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 - 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/4 - 4/1. LCD = 4. Result = -7/4.\n</reasoning>\nFinal Answer: -7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 24) * (3 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+24)=64, (3-7)=-4, then 64×-4=-256.\n</reasoning>\nFinal Answer: -256"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 46) * (5 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+46)=77, (5-26)=-21, then 77×-21=-1617.\n</reasoning>\nFinal Answer: -1617"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -795 × -762"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -795 by -762: -795 × -762 = 605790.\n</reasoning>\nFinal Answer: 605790"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -20 = 617"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 13x = 637. Divide by 13: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 1 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 12/60 = 1.2000 hours. Distance = speed × time = 100 × 1.2000 = 120.0 km.\n</reasoning>\nFinal Answer: 120.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 777 ÷ 745"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 777 by 745. 777 ÷ 745 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 90 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(90+55) = 2×145 = 290.\n</reasoning>\nFinal Answer: 290"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 27) * (37 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+27)=61, (37-18)=19, then 61×19=1159.\n</reasoning>\nFinal Answer: 1159"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 846 mod -861"
},
{
"role": "assistant",
"content": "<reasoning>\n846 mod -861: 846 = -861 × -1 + -15, so remainder = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [15, 31, 47, 63, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 15 and common difference 16. Next term = 79 + 16 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 41 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 2x = -80. Divide by 2: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -884 + -548"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -884 and -548: -884 + -548 = -1432.\n</reasoning>\nFinal Answer: -1432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [25, 40, 55, 70, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 25 and common difference 15. Next term = 85 + 15 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 10 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 41/60 = 10.6833 hours. Distance = speed × time = 172 × 10.6833 = 1837.5333 km.\n</reasoning>\nFinal Answer: 1837.5333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 27 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 27 = 216 worker-days. New time = 216 / 10 = 21.6 days.\n</reasoning>\nFinal Answer: 21.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 99 and 146."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(99,146) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 45 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(45+88) = 2×133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 54, 93, 99, 62, 59, 67, 81, 98, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [49, 54, 59, 62, 66, 67, 81, 93, 98, 99]. Middle value(s) → median = 66.5.\n</reasoning>\nFinal Answer: 66.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -618 + -873"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -618 and -873: -618 + -873 = -1491.\n</reasoning>\nFinal Answer: -1491"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -7 = -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 6x = -228. Divide by 6: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 844 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 844 × (1 + 40/100) = 844 × 1.4 = 1181.6.\n</reasoning>\nFinal Answer: 1181.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -393 + 656"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -393 and 656: -393 + 656 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 44) * (41 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+44)=74, (41-47)=-6, then 74×-6=-444.\n</reasoning>\nFinal Answer: -444"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 21, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 21 + 25 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [79, 40, 19, 85, 86, 85, 85, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {79: 1, 40: 1, 19: 1, 85: 3, 86: 1, 34: 1}. Most frequent: 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -21 = 1221"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 27x = 1242. Divide by 27: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 380 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 380 × (1 - 3/100) = 380 × 0.97 = 368.6.\n</reasoning>\nFinal Answer: 368.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -533 × 490"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -533 by 490: -533 × 490 = -261170.\n</reasoning>\nFinal Answer: -261170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 22 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 22 × 93 = 2046.\n</reasoning>\nFinal Answer: 2046"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 722 × -940"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 722 by -940: 722 × -940 = -678680.\n</reasoning>\nFinal Answer: -678680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 31 = -53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 21x = -84. Divide by 21: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 7, 76, 27, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 27, 61, 76, 81]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 38) * (5 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+38)=64, (5-2)=3, then 64×3=192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3882. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3882 × 12/100 = 465.84. Total = 3882 + 465.84 = 4347.84.\n</reasoning>\nFinal Answer: 4347.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×40)/5 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -284 ÷ 872"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -284 by 872. -284 ÷ 872 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 128 km/h. How far does it travel in 8 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 2/60 = 8.0333 hours. Distance = speed × time = 128 × 8.0333 = 1028.2667 km.\n</reasoning>\nFinal Answer: 1028.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 909 × 223"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 909 by 223: 909 × 223 = 202707.\n</reasoning>\nFinal Answer: 202707"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 15 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 49+225-37=237.\n</reasoning>\nFinal Answer: 237"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 30 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 30 = 150 worker-days. New time = 150 / 5 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 17, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (13-1)×17 = 25 + 204 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 23 + 7 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×23=690 and 7×37=259, then add: 949.\n</reasoning>\nFinal Answer: 949"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 14 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 14 = 196 worker-days. New time = 196 / 5 = 39.2 days.\n</reasoning>\nFinal Answer: 39.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×13)/1 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 784 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 784 × (1 - 50/100) = 784 × 0.5 = 392.0.\n</reasoning>\nFinal Answer: 392.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 / 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/14) ÷ (16/8) = (7/14) × (8/16) = 1/4.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 36 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(36+59) = 2×95 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -96 ÷ -415"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -96 by -415. -96 ÷ -415 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/3 / 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/3) ÷ (5/15) = (7/3) × (15/5) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (12)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×3×0 = 144. √discriminant = 12. x = (-(12) ± 12) / (2×3). Solutions: x = -4 or x = 0.\n</reasoning>\nFinal Answer: x = -4 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -221 - 674"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 674 from -221: -221 - 674 = -895.\n</reasoning>\nFinal Answer: -895"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 / 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/9) ÷ (18/18) = (20/9) × (18/18) = 20/9.\n</reasoning>\nFinal Answer: 20/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2097. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2097 × 12/100 = 251.64. Total = 2097 + 251.64 = 2348.64.\n</reasoning>\nFinal Answer: 2348.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 72 + 347"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 72 and 347: 72 + 347 = 419.\n</reasoning>\nFinal Answer: 419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -387 + -47"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -387 and -47: -387 + -47 = -434.\n</reasoning>\nFinal Answer: -434"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 + 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/2 + 9/3. Common denominator = 2. Result = 25/2.\n</reasoning>\nFinal Answer: 25/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 5 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 5 = 90 worker-days. New time = 90 / 3 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 119 apples and buys 194 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 119 + 194 = 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -178 mod -220"
},
{
"role": "assistant",
"content": "<reasoning>\n-178 mod -220: -178 = -220 × 0 + -178, so remainder = -178.\n</reasoning>\nFinal Answer: -178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 29) * (34 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+29)=46, (34-27)=7, then 46×7=322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 644 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 644 × (1 - 25/100) = 644 × 0.75 = 483.0.\n</reasoning>\nFinal Answer: 483.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 84 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 84 × (1 + 17/100) = 84 × 1.17 = 98.28.\n</reasoning>\nFinal Answer: 98.28"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 1 + 25 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×1=30 and 25×2=50, then add: 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 78, 76, 23, 22, 83, 64, 62, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 78: 1, 76: 1, 23: 1, 22: 1, 83: 1, 64: 1, 62: 1, 51: 1}. Most frequent: [30, 78, 76, 23, 22, 83, 64, 62, 51].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 38) * (11 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+38)=43, (11-40)=-29, then 43×-29=-1247.\n</reasoning>\nFinal Answer: -1247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 44 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (44×37)/1 = 1628.\n</reasoning>\nFinal Answer: 1628"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 682 + -493"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 682 and -493: 682 + -493 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 - 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/2 - 1/3. LCD = 6. Result = 13/6.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 70 - -738"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -738 from 70: 70 - -738 = 808.\n</reasoning>\nFinal Answer: 808"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 31, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 31 + 40 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 11, 12, 13, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 10 and common difference 1. Next term = 14 + 1 = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 81 and 177."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(81,177) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 5, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (38-1)×5 = 3 + 185 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -14 = -218"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 6x = -204. Divide by 6: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 474 + 623"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 474 and 623: 474 + 623 = 1097.\n</reasoning>\nFinal Answer: 1097"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 13, 24, 35, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 11. Next term = 46 + 11 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 14 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 5+196-49=152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -4 = -394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 26x = -390. Divide by 26: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.