messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 306 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 306 × (1 + 40/100) = 306 × 1.4 = 428.4.\n</reasoning>\nFinal Answer: 428.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 / 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/12) ÷ (18/5) = (19/12) × (5/18) = 95/216.\n</reasoning>\nFinal Answer: 95/216"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×4)/2 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 8, 15, 16, 19] and B = [1, 6, 10, 11, 14, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 8, 10, 11, 14, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22958 at 14% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22958 × 14 × 10 / 100 = 32141.2.\n</reasoning>\nFinal Answer: 32141.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 191?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 191 = (45/100) × 191 = 85.95.\n</reasoning>\nFinal Answer: 85.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:40 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/40, so B = A × (40/15) = 78 × 40/15 = 208.0.\n</reasoning>\nFinal Answer: 208.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 642 × 687"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 642 by 687: 642 × 687 = 441054.\n</reasoning>\nFinal Answer: 441054"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -262 mod 877"
},
{
"role": "assistant",
"content": "<reasoning>\n-262 mod 877: -262 = 877 × -1 + 615, so remainder = 615.\n</reasoning>\nFinal Answer: 615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -107 × -382"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -107 by -382: -107 × -382 = 40874.\n</reasoning>\nFinal Answer: 40874"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:23 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/23, so B = A × (23/15) = 65 × 23/15 = 99.6667.\n</reasoning>\nFinal Answer: 99.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 88 + 286"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 88 and 286: 88 + 286 = 374.\n</reasoning>\nFinal Answer: 374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 20 = -732"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 16x = -752. Divide by 16: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 87 mod 326"
},
{
"role": "assistant",
"content": "<reasoning>\n87 mod 326: 87 = 326 × 0 + 87, so remainder = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 298 × -455"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 298 by -455: 298 × -455 = -135590.\n</reasoning>\nFinal Answer: -135590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 20, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (50-1)×20 = 48 + 980 = 1028.\n</reasoning>\nFinal Answer: 1028"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -481 ÷ 853"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -481 by 853. -481 ÷ 853 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 120 and 139."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(120,139) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:49 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/49, so B = A × (49/14) = 57 × 49/14 = 199.5.\n</reasoning>\nFinal Answer: 199.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:23 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/23, so B = A × (23/14) = 70 × 23/14 = 115.0.\n</reasoning>\nFinal Answer: 115.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -27 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 13x = -13. Divide by 13: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 / 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/13) ÷ (12/10) = (19/13) × (10/12) = 95/78.\n</reasoning>\nFinal Answer: 95/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 8, 63, 91, 34, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 8 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 14 = 1283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 27x = 1269. Divide by 27: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 39 + 18 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×39=39 and 18×29=522, then add: 561.\n</reasoning>\nFinal Answer: 561"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -443 mod 590"
},
{
"role": "assistant",
"content": "<reasoning>\n-443 mod 590: -443 = 590 × -1 + 147, so remainder = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 434 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 434 × (1 + 65/100) = 434 × 1.65 = 716.1.\n</reasoning>\nFinal Answer: 716.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 60% of 3?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 3 = (60/100) × 3 = 1.8.\n</reasoning>\nFinal Answer: 1.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 10, 11, 12, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 9 and common difference 1. Next term = 13 + 1 = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:27 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/27, so B = A × (27/29) = 71 × 27/29 = 66.1034.\n</reasoning>\nFinal Answer: 66.1034"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -18 = -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 6x = -192. Divide by 6: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 232."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 232 by smallest primes repeatedly: 232 = 2 × 2 × 2 × 29.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 3, 31, 70, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 207/5 = 41.4.\n</reasoning>\nFinal Answer: 41.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 36 + 33 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×36=1800 and 33×10=330, then add: 2130.\n</reasoning>\nFinal Answer: 2130"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 5 * 39 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×39=195, then 44+195-44=195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 748 × 861"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 748 by 861: 748 × 861 = 644028.\n</reasoning>\nFinal Answer: 644028"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:5 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/5, so B = A × (5/26) = 87 × 5/26 = 16.7308.\n</reasoning>\nFinal Answer: 16.7308"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -223 mod -678"
},
{
"role": "assistant",
"content": "<reasoning>\n-223 mod -678: -223 = -678 × 0 + -223, so remainder = -223.\n</reasoning>\nFinal Answer: -223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -618 - -544"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -544 from -618: -618 - -544 = -74.\n</reasoning>\nFinal Answer: -74"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 138 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 138 × (1 - 80/100) = 138 × 0.19999999999999996 = 27.6.\n</reasoning>\nFinal Answer: 27.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -679 + 56"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -679 and 56: -679 + 56 = -623.\n</reasoning>\nFinal Answer: -623"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 46 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 30+2116-29=2117.\n</reasoning>\nFinal Answer: 2117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 728 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 728 × (1 + 10/100) = 728 × 1.1 = 800.8.\n</reasoning>\nFinal Answer: 800.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 737 mod 306"
},
{
"role": "assistant",
"content": "<reasoning>\n737 mod 306: 737 = 306 × 2 + 125, so remainder = 125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -20 = -500"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 30x = -480. Divide by 30: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 11, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (18-1)×11 = 8 + 187 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 52 ÷ -4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 52 by -4. 52 ÷ -4 = -13 (integer division).\n</reasoning>\nFinal Answer: -13"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 21 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 21 = 168 worker-days. New time = 168 / 11 = 15.2727 days.\n</reasoning>\nFinal Answer: 15.2727"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 53 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(53+71) = 2×124 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 471 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 471 × (1 - 3/100) = 471 × 0.97 = 456.87.\n</reasoning>\nFinal Answer: 456.87"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 76 = 3724.0.\n</reasoning>\nFinal Answer: 3724.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Is 46 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n46 = 2 × 23, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: 997 × 912"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 997 by 912: 997 × 912 = 909264.\n</reasoning>\nFinal Answer: 909264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -67 × 303"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -67 by 303: -67 × 303 = -20301.\n</reasoning>\nFinal Answer: -20301"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 135 and 125."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(135,125) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:17 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/17, so B = A × (17/44) = 80 × 17/44 = 30.9091.\n</reasoning>\nFinal Answer: 30.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:50 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/50, so B = A × (50/29) = 88 × 50/29 = 151.7241.\n</reasoning>\nFinal Answer: 151.7241"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 9 = -81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 9x = -90. Divide by 9: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 20 = -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 14x = -364. Divide by 14: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 39) * (4 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+39)=44, (4-26)=-22, then 44×-22=-968.\n</reasoning>\nFinal Answer: -968"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 35, 31, 92, 86, 21, 15, 9, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 462/9 = 51.3333.\n</reasoning>\nFinal Answer: 51.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 99 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 99 × (1 + 15/100) = 99 × 1.15 = 113.85.\n</reasoning>\nFinal Answer: 113.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -6 = 44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 2x = 50. Divide by 2: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 8 = -1268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 29x = -1276. Divide by 29: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 1000 - 307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 307 from 1000: 1000 - 307 = 693.\n</reasoning>\nFinal Answer: 693"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 24 and 64."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(24,64) = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 3 * 46 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×46=138, then 23+138-8=153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "166 is what percentage of 242?"
},
{
"role": "assistant",
"content": "<reasoning>\n(166/242) × 100 = 68.595%.\n</reasoning>\nFinal Answer: 68.595%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 15 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+15) × 22 = 583.0.\n</reasoning>\nFinal Answer: 583.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 76, 53, 91, 93, 24, 54, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 427/8 = 53.375.\n</reasoning>\nFinal Answer: 53.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 208 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 208 × (1 + 3/100) = 208 × 1.03 = 214.24.\n</reasoning>\nFinal Answer: 214.24"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 - 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/14 - 12/20. LCD = 70. Result = 43/70.\n</reasoning>\nFinal Answer: 43/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -4 = -106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 3x = -102. Divide by 3: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 13, 14] and B = [11, 13, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 6, 11, 13, 14, 16, 17, 19].\n</reasoning>\nFinal Answer: [4, 6, 11, 13, 14, 16, 17, 19... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -15 = 84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 9x = 99. Divide by 9: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 19 + 12 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×19=722 and 12×4=48, then add: 770.\n</reasoning>\nFinal Answer: 770"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 836 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 836 × (1 - 65/100) = 836 × 0.35 = 292.6.\n</reasoning>\nFinal Answer: 292.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:14 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/14, so B = A × (14/37) = 22 × 14/37 = 8.3243.\n</reasoning>\nFinal Answer: 8.3243"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 20 = -10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 10x = -30. Divide by 10: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -927 - 155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 155 from -927: -927 - 155 = -1082.\n</reasoning>\nFinal Answer: -1082"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -739 × -559"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -739 by -559: -739 × -559 = 413101.\n</reasoning>\nFinal Answer: 413101"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 50) * (42 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+50)=83, (42-21)=21, then 83×21=1743.\n</reasoning>\nFinal Answer: 1743"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 243 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 243 × (1 - 15/100) = 243 × 0.85 = 206.55.\n</reasoning>\nFinal Answer: 206.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -811 × -592"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -811 by -592: -811 × -592 = 480112.\n</reasoning>\nFinal Answer: 480112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 72, 25, 64, 77, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 314/6 = 52.3333.\n</reasoning>\nFinal Answer: 52.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (60)x + (160) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 60² - 4×5×160 = 400. √discriminant = 20. x = (-(60) ± 20) / (2×5). Solutions: x = -4 or x = -8.\n</reasoning>\nFinal Answer: x = -4 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 100% of 866?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 866 = (100/100) × 866 = 866.0.\n</reasoning>\nFinal Answer: 866.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 978 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 978 × (1 + 15/100) = 978 × 1.15 = 1124.7.\n</reasoning>\nFinal Answer: 1124.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 866 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 866 × (1 + 25/100) = 866 × 1.25 = 1082.5.\n</reasoning>\nFinal Answer: 1082.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:7 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/7, so B = A × (7/4) = 7 × 7/4 = 12.25.\n</reasoning>\nFinal Answer: 12.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 24, 26, 4, 65, 40, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 24, 26, 40, 46, 65, 88]. Middle value(s) → median = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 * 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/14) × (8/16) = (160/224) = 5/7 after simplification.\n</reasoning>\nFinal Answer: 5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 81, 37, 81, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [37, 52, 81, 81, 92]. Middle value(s) → median = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "3 is what percentage of 5?"
},
{
"role": "assistant",
"content": "<reasoning>\n(3/5) × 100 = 60.0%.\n</reasoning>\nFinal Answer: 60.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 95, 88, 42, 65, 22, 19, 44, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 19 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:7 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/7, so B = A × (7/43) = 64 × 7/43 = 10.4186.\n</reasoning>\nFinal Answer: 10.4186"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 3 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+3) × 10 = 145.0.\n</reasoning>\nFinal Answer: 145.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (32)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 32² - 4×4×60 = 64. √discriminant = 8. x = (-(32) ± 8) / (2×4). Solutions: x = -3 or x = -5.\n</reasoning>\nFinal Answer: x = -3 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×34)/2 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:46 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/46, so B = A × (46/43) = 44 × 46/43 = 47.0698.\n</reasoning>\nFinal Answer: 47.0698"
}
] | medium | [
"ratio",
"proportion"
] |
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