messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 29 * 35 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×35=1015, then 28+1015-22=1021.\n</reasoning>\nFinal Answer: 1021"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -869 mod 967"
},
{
"role": "assistant",
"content": "<reasoning>\n-869 mod 967: -869 = 967 × -1 + 98, so remainder = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 974?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 974 = (5/100) × 974 = 48.7.\n</reasoning>\nFinal Answer: 48.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 39 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+39) × 8 = 172.0.\n</reasoning>\nFinal Answer: 172.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 2 * 24 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×24=48, then 44+48-37=55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 421 × 395"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 421 by 395: 421 × 395 = 166295.\n</reasoning>\nFinal Answer: 166295"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -43 = -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 18x = 36. Divide by 18: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:11 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/11, so B = A × (11/29) = 27 × 11/29 = 10.2414.\n</reasoning>\nFinal Answer: 10.2414"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 42 = 4032.\n</reasoning>\nFinal Answer: 4032"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 86 ÷ 952"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 86 by 952. 86 ÷ 952 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -276 × -282"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -276 by -282: -276 × -282 = 77832.\n</reasoning>\nFinal Answer: 77832"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 * 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/9) × (12/10) = (228/90) = 38/15 after simplification.\n</reasoning>\nFinal Answer: 38/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 13, 95, 46, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 13 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7808 at 18% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7808 × 18 × 3 / 100 = 4216.32.\n</reasoning>\nFinal Answer: 4216.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 8, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (41-1)×8 = 20 + 320 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 33 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+33) × 12 = 324.0.\n</reasoning>\nFinal Answer: 324.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 23 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 23 = 414 worker-days. New time = 414 / 20 = 20.7 days.\n</reasoning>\nFinal Answer: 20.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 935 km apart. Their speeds are 46 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+88=134 km/h. Time = 935/134 = 6.9776 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/13 - 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/13 - 13/20. LCD = 260. Result = 191/260.\n</reasoning>\nFinal Answer: 191/260"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -485 × 910"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -485 by 910: -485 × 910 = -441350.\n</reasoning>\nFinal Answer: -441350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 7, 11, 14, 17, 18] and B = [4, 6, 11, 12, 13, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 7, 14, 17, 18].\n</reasoning>\nFinal Answer: [2, 3, 7, 14, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 662 - 225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 225 from 662: 662 - 225 = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:41 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/41, so B = A × (41/3) = 93 × 41/3 = 1271.0.\n</reasoning>\nFinal Answer: 1271.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 266 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 266 × (1 - 15/100) = 266 × 0.85 = 226.1.\n</reasoning>\nFinal Answer: 226.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:17 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/17, so B = A × (17/17) = 70 × 17/17 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -8 = -68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 12x = -60. Divide by 12: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "List all positive factors of 99."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 99: factors are [1, 3, 9, 11, 33, 99].\n</reasoning>\nFinal Answer: [1, 3, 9, 11, 33, 99]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 26 + 8 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×26=182 and 8×25=200, then add: 382.\n</reasoning>\nFinal Answer: 382"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 23, 86, 65, 13, 86, 69, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 462/8 = 57.75.\n</reasoning>\nFinal Answer: 57.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 36 = -188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 16x = -224. Divide by 16: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 778 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 778 × (1 + 35/100) = 778 × 1.35 = 1050.3.\n</reasoning>\nFinal Answer: 1050.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 9 = 477.\n</reasoning>\nFinal Answer: 477"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:26 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/26, so B = A × (26/5) = 81 × 26/5 = 421.2.\n</reasoning>\nFinal Answer: 421.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 427 × -805"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 427 by -805: 427 × -805 = -343735.\n</reasoning>\nFinal Answer: -343735"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "146 is what percentage of 982?"
},
{
"role": "assistant",
"content": "<reasoning>\n(146/982) × 100 = 14.8676%.\n</reasoning>\nFinal Answer: 14.8676%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 298 km apart. Their speeds are 72 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+70=142 km/h. Time = 298/142 = 2.0986 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 + 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/5 + 9/5. Common denominator = 5. Result = 27/5.\n</reasoning>\nFinal Answer: 27/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41929 at 8% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41929 × 8 × 1 / 100 = 3354.32.\n</reasoning>\nFinal Answer: 3354.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -864 × -168"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -864 by -168: -864 × -168 = 145152.\n</reasoning>\nFinal Answer: 145152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 58, 25, 9, 86, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 233/6 = 38.8333.\n</reasoning>\nFinal Answer: 38.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 * 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/5) × (5/4) = (5/20) = 1/4 after simplification.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "311 is what percentage of 383?"
},
{
"role": "assistant",
"content": "<reasoning>\n(311/383) × 100 = 81.201%.\n</reasoning>\nFinal Answer: 81.201%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 80."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,80) = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 45% of 699?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 699 = (45/100) × 699 = 314.55.\n</reasoning>\nFinal Answer: 314.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 26 = -234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 26x = -260. Divide by 26: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 15, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (31-1)×15 = 34 + 450 = 484.\n</reasoning>\nFinal Answer: 484"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 25% of 876?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 876 = (25/100) × 876 = 219.0.\n</reasoning>\nFinal Answer: 219.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36777 at 18% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36777 × 18 × 2 / 100 = 13239.72.\n</reasoning>\nFinal Answer: 13239.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 50% of 927?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 927 = (50/100) × 927 = 463.5.\n</reasoning>\nFinal Answer: 463.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 52, 50, 33, 83, 38, 46, 54, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 52: 1, 50: 1, 33: 1, 83: 1, 38: 1, 46: 1, 54: 1, 96: 1}. Most frequent: [51, 52, 50, 33, 83, 38, 46, 54, 96].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -393 ÷ -509"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -393 by -509. -393 ÷ -509 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 62 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 62 × 31 = 1922.\n</reasoning>\nFinal Answer: 1922"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -27 + 581"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -27 and 581: -27 + 581 = 554.\n</reasoning>\nFinal Answer: 554"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -579 ÷ -701"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -579 by -701. -579 ÷ -701 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 926 - 259"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 259 from 926: 926 - 259 = 667.\n</reasoning>\nFinal Answer: 667"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 203 × -627"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 203 by -627: 203 × -627 = -127281.\n</reasoning>\nFinal Answer: -127281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -840 mod -852"
},
{
"role": "assistant",
"content": "<reasoning>\n-840 mod -852: -840 = -852 × 0 + -840, so remainder = -840.\n</reasoning>\nFinal Answer: -840"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 27) * (43 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+27)=61, (43-27)=16, then 61×16=976.\n</reasoning>\nFinal Answer: 976"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 996 - -996"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -996 from 996: 996 - -996 = 1992.\n</reasoning>\nFinal Answer: 1992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -50 = 240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 10x = 290. Divide by 10: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 695 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 695 × (1 - 100/100) = 695 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 15, 19] and B = [4, 5, 7, 8, 12, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 7, 8, 12, 14, 15].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [34, 43, 52, 61, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 34 and common difference 9. Next term = 70 + 9 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 3% of 250?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 250 = (3/100) × 250 = 7.5.\n</reasoning>\nFinal Answer: 7.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 5 * 9 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×9=45, then 46+45-19=72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 45, 60, 75, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 15. Next term = 90 + 15 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 + 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/15 + 20/14. Common denominator = 105. Result = 262/105.\n</reasoning>\nFinal Answer: 262/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 18) * (17 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+18)=49, (17-50)=-33, then 49×-33=-1617.\n</reasoning>\nFinal Answer: -1617"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 216 km apart. Their speeds are 55 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+110=165 km/h. Time = 216/165 = 1.3091 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:3 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/3, so B = A × (3/14) = 38 × 3/14 = 8.1429.\n</reasoning>\nFinal Answer: 8.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -43 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 8x = 72. Divide by 8: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "621 is what percentage of 662?"
},
{
"role": "assistant",
"content": "<reasoning>\n(621/662) × 100 = 93.8066%.\n</reasoning>\nFinal Answer: 93.8066%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 30 = -62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 4x = -92. Divide by 4: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 677 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 677 × (1 - 80/100) = 677 × 0.19999999999999996 = 135.4.\n</reasoning>\nFinal Answer: 135.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 47, 58, 71, 6, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 6 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 22 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 22 = 418 worker-days. New time = 418 / 5 = 83.6 days.\n</reasoning>\nFinal Answer: 83.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [74, 51, 28, 35, 100, 70, 11, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 28, 35, 51, 52, 70, 74, 100]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 449 mod 842"
},
{
"role": "assistant",
"content": "<reasoning>\n449 mod 842: 449 = 842 × 0 + 449, so remainder = 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 - 4/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/17 - 4/8. LCD = 2. Result = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 + 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/19 + 9/8. Common denominator = 152. Result = 251/152.\n</reasoning>\nFinal Answer: 251/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/7 * 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/7) × (20/12) = (160/84) = 40/21 after simplification.\n</reasoning>\nFinal Answer: 40/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 13, 15, 16, 18] and B = [3, 4, 13, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13, 15].\n</reasoning>\nFinal Answer: [13, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 14 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 14 = 42 worker-days. New time = 42 / 15 = 2.8 days.\n</reasoning>\nFinal Answer: 2.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -930 - 379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 379 from -930: -930 - 379 = -1309.\n</reasoning>\nFinal Answer: -1309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 4, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (29-1)×4 = 50 + 112 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 73 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 73 × 87 = 6351.\n</reasoning>\nFinal Answer: 6351"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 94 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 94 × 31 = 1457.0.\n</reasoning>\nFinal Answer: 1457.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-24)x + (21) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×3×21 = 324. √discriminant = 18. x = (-(-24) ± 18) / (2×3). Solutions: x = 1 or x = 7.\n</reasoning>\nFinal Answer: x = 1 or x = 7"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 17 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 10+289-47=252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -39 = 143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 7x = 182. Divide by 7: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 96 = 1920.0.\n</reasoning>\nFinal Answer: 1920.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 83, 52, 94, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 13 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 35% of 878?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 878 = (35/100) × 878 = 307.3.\n</reasoning>\nFinal Answer: 307.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 179 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 179 × (1 - 100/100) = 179 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -36 = 769"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 23x = 805. Divide by 23: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 95 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 95 × 19 = 1805.\n</reasoning>\nFinal Answer: 1805"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 15 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 12x = 120. Divide by 12: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 80% of 264?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 264 = (80/100) × 264 = 211.2.\n</reasoning>\nFinal Answer: 211.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 33 = 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 1x = -29. Divide by 1: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 487 mod -322"
},
{
"role": "assistant",
"content": "<reasoning>\n487 mod -322: 487 = -322 × -2 + -157, so remainder = -157.\n</reasoning>\nFinal Answer: -157"
}
] | medium | [
"arithmetic",
"computation"
] |
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