messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 18/16 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/16 + 15/16. Common denominator = 16. Result = 33/16.\n</reasoning>\nFinal Answer: 33/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 15 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 15 = 105 worker-days. New time = 105 / 16 = 6.5625 days.\n</reasoning>\nFinal Answer: 6.5625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [48, 60, 72, 84, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 48 and common difference 12. Next term = 96 + 12 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 439 + -616"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 439 and -616: 439 + -616 = -177.\n</reasoning>\nFinal Answer: -177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 0 = -1050"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 25x = -1050. Divide by 25: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 98 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 98 × 71 = 6958.\n</reasoning>\nFinal Answer: 6958"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [14, 2, 32, 47, 54, 2, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 184/7 = 26.2857.\n</reasoning>\nFinal Answer: 26.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 * 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/10) × (8/15) = (16/150) = 8/75 after simplification.\n</reasoning>\nFinal Answer: 8/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -32 = -860"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 18x = -828. Divide by 18: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 30% of 608?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 608 = (30/100) × 608 = 182.4.\n</reasoning>\nFinal Answer: 182.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 / 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/13) ÷ (16/16) = (4/13) × (16/16) = 4/13.\n</reasoning>\nFinal Answer: 4/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 328 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 328 × (1 + 3/100) = 328 × 1.03 = 337.84.\n</reasoning>\nFinal Answer: 337.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 15 * 50 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×50=750, then 36+750-22=764.\n</reasoning>\nFinal Answer: 764"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:47 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/47, so B = A × (47/42) = 35 × 47/42 = 39.1667.\n</reasoning>\nFinal Answer: 39.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 27 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 27 = 324 worker-days. New time = 324 / 15 = 21.6 days.\n</reasoning>\nFinal Answer: 21.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 196 - 877"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 877 from 196: 196 - 877 = -681.\n</reasoning>\nFinal Answer: -681"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 92, 55, 58, 84, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 13 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 49 = 882.\n</reasoning>\nFinal Answer: 882"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 35% of 165?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 165 = (35/100) × 165 = 57.75.\n</reasoning>\nFinal Answer: 57.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -50 = -934"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 26x = -884. Divide by 26: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -399 × 629"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -399 by 629: -399 × 629 = -250971.\n</reasoning>\nFinal Answer: -250971"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 757 ÷ -700"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 757 by -700. 757 ÷ -700 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 4 + 3 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×4=12 and 3×42=126, then add: 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -43 = -936"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 19x = -893. Divide by 19: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -8 = 5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 13x = 13. Divide by 13: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 402 mod -450"
},
{
"role": "assistant",
"content": "<reasoning>\n402 mod -450: 402 = -450 × -1 + -48, so remainder = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -163 mod -462"
},
{
"role": "assistant",
"content": "<reasoning>\n-163 mod -462: -163 = -462 × 0 + -163, so remainder = -163.\n</reasoning>\nFinal Answer: -163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -785 × -590"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -785 by -590: -785 × -590 = 463150.\n</reasoning>\nFinal Answer: 463150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 10 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 44+100-32=112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 232 ÷ -473"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 232 by -473. 232 ÷ -473 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 / 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/18) ÷ (20/6) = (9/18) × (6/20) = 3/20.\n</reasoning>\nFinal Answer: 3/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 9] and B = [3, 5, 10, 11, 12, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 9, 10, 11, 12, 17, 18].\n</reasoning>\nFinal Answer: [3, 5, 9, 10, 11, 12, 17, 18]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:12 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/12, so B = A × (12/42) = 90 × 12/42 = 25.7143.\n</reasoning>\nFinal Answer: 25.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 330 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 330 × (1 + 90/100) = 330 × 1.9 = 627.0.\n</reasoning>\nFinal Answer: 627.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:42 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/42, so B = A × (42/30) = 87 × 42/30 = 121.8.\n</reasoning>\nFinal Answer: 121.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -950 + 288"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -950 and 288: -950 + 288 = -662.\n</reasoning>\nFinal Answer: -662"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 30 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 29x = -29. Divide by 29: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -729 ÷ -392"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -729 by -392. -729 ÷ -392 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 93, 61, 64, 44, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 44 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 63."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 63 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 538 - 636"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 636 from 538: 538 - 636 = -98.\n</reasoning>\nFinal Answer: -98"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -23 = -837"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 22x = -814. Divide by 22: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 25 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 25 = 375 worker-days. New time = 375 / 10 = 37.5 days.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 8 * 18 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×18=144, then 48+144-26=166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 * 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/17) × (19/7) = (342/119) = 342/119 after simplification.\n</reasoning>\nFinal Answer: 342/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 82 apples and buys 37 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 82 + 37 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-18)x + (15) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -18² - 4×3×15 = 144. √discriminant = 12. x = (-(-18) ± 12) / (2×3). Solutions: x = 5 or x = 1.\n</reasoning>\nFinal Answer: x = 5 or x = 1"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 13 = 1105.\n</reasoning>\nFinal Answer: 1105"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -810 mod 785"
},
{
"role": "assistant",
"content": "<reasoning>\n-810 mod 785: -810 = 785 × -2 + 760, so remainder = 760.\n</reasoning>\nFinal Answer: 760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 22 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 22 = 198 worker-days. New time = 198 / 18 = 11.0 days.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 23 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 23 × 19 = 218.5.\n</reasoning>\nFinal Answer: 218.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 598 - 813"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 813 from 598: 598 - 813 = -215.\n</reasoning>\nFinal Answer: -215"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 60, 64, 32, 79, 26, 19, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 19, 26, 28, 32, 60, 64, 79]. Middle value(s) → median = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 22 apples and buys 177 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 22 + 177 = 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 47 + 24 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×47=1222 and 24×42=1008, then add: 2230.\n</reasoning>\nFinal Answer: 2230"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:11 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/11, so B = A × (11/17) = 48 × 11/17 = 31.0588.\n</reasoning>\nFinal Answer: 31.0588"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 103 km apart. Their speeds are 48 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 48+117=165 km/h. Time = 103/165 = 0.6242 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 33 * 43 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×43=1419, then 49+1419-25=1443.\n</reasoning>\nFinal Answer: 1443"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 6, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (28-1)×6 = 32 + 162 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -15 = 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 9x = 162. Divide by 9: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+3) = 2×38 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 97, 1, 11, 96, 75, 17, 10, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 10, 11, 17, 66, 75, 83, 96, 97]. Middle value(s) → median = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 63 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 63 × 79 = 4977.\n</reasoning>\nFinal Answer: 4977"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 19 * 9 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×9=171, then 21+171-27=165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 50 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 41+2500-43=2498.\n</reasoning>\nFinal Answer: 2498"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹847. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 847 × 28/100 = 237.16. Total = 847 + 237.16 = 1084.16.\n</reasoning>\nFinal Answer: 1084.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -367 - -673"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -673 from -367: -367 - -673 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [12, 13, 17, 18] and B = [2, 4, 6, 14, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 13, 18].\n</reasoning>\nFinal Answer: [12, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 42, 56, 70, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 14. Next term = 84 + 14 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 738 km apart. Their speeds are 70 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+97=167 km/h. Time = 738/167 = 4.4192 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 30 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(30+46) = 2×76 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [93, 90, 91, 58, 6, 89, 53, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 536/8 = 67.0.\n</reasoning>\nFinal Answer: 67.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×19)/1 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [82, 88, 13, 61, 34, 27, 56, 26, 1, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {82: 1, 88: 1, 13: 1, 61: 1, 34: 1, 27: 1, 56: 1, 26: 1, 1: 1, 38: 1}. Most frequent: [82, 88, 13, 61, 34, 27, 56, 26, 1, 38].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:45 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/45, so B = A × (45/7) = 41 × 45/7 = 263.5714.\n</reasoning>\nFinal Answer: 263.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 64, 36, 23, 78, 30, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 299/7 = 42.7143.\n</reasoning>\nFinal Answer: 42.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [29, 7, 67, 38, 4, 25, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 67 - 4 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 35 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 35 × (1 + 45/100) = 35 × 1.45 = 50.75.\n</reasoning>\nFinal Answer: 50.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 156 and 67."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(156,67) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 7, 8, 9, 11, 13, 19] and B = [9, 11, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 7, 8, 13, 19].\n</reasoning>\nFinal Answer: [3, 4, 7, 8, 13, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 39, 41, 43, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 2. Next term = 45 + 2 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 635 + -293"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 635 and -293: 635 + -293 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -6 = 9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 1x = 15. Divide by 1: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 / 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/14) ÷ (20/8) = (7/14) × (8/20) = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 47, 88, 36, 17, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 17 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 425 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 425 × (1 - 15/100) = 425 × 0.85 = 361.25.\n</reasoning>\nFinal Answer: 361.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×11)/1 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -823 mod -186"
},
{
"role": "assistant",
"content": "<reasoning>\n-823 mod -186: -823 = -186 × 4 + -79, so remainder = -79.\n</reasoning>\nFinal Answer: -79"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 733 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 733 × (1 - 45/100) = 733 × 0.55 = 403.15.\n</reasoning>\nFinal Answer: 403.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:27 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/27, so B = A × (27/46) = 100 × 27/46 = 58.6957.\n</reasoning>\nFinal Answer: 58.6957"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 33, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 33 + 35 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 38, 91, 85, 65, 34, 36, 78, 8, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 9, 34, 36, 38, 65, 67, 78, 85, 91]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 873 + 918"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 873 and 918: 873 + 918 = 1791.\n</reasoning>\nFinal Answer: 1791"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 36 * 40 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×40=1440, then 30+1440-1=1469.\n</reasoning>\nFinal Answer: 1469"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 83 + -376"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 83 and -376: 83 + -376 = -293.\n</reasoning>\nFinal Answer: -293"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -33 = -873"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 24x = -840. Divide by 24: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 10, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (13-1)×10 = 46 + 120 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹4879. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4879 × 28/100 = 1366.12. Total = 4879 + 1366.12 = 6245.12.\n</reasoning>\nFinal Answer: 6245.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 603 mod -369"
},
{
"role": "assistant",
"content": "<reasoning>\n603 mod -369: 603 = -369 × -2 + -135, so remainder = -135.\n</reasoning>\nFinal Answer: -135"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 13 = 377.\n</reasoning>\nFinal Answer: 377"
}
] | easy | [
"geometry",
"area"
] |
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