messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 24:48 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/48, so B = A × (48/24) = 15 × 48/24 = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:32 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/32, so B = A × (32/38) = 96 × 32/38 = 80.8421.\n</reasoning>\nFinal Answer: 80.8421"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×12)/3 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 87 apples and buys 84 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 87 + 84 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:22 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/22, so B = A × (22/15) = 41 × 22/15 = 60.1333.\n</reasoning>\nFinal Answer: 60.1333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [90, 5, 74, 28, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 264/5 = 52.8.\n</reasoning>\nFinal Answer: 52.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 23, 37, 69, 83, 7, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 334/7 = 47.7143.\n</reasoning>\nFinal Answer: 47.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 / 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/15) ÷ (12/5) = (6/15) × (5/12) = 1/6.\n</reasoning>\nFinal Answer: 1/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 1, 1, 58, 50, 34, 89, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 315/8 = 39.375.\n</reasoning>\nFinal Answer: 39.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:33 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/33, so B = A × (33/1) = 95 × 33/1 = 3135.0.\n</reasoning>\nFinal Answer: 3135.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 6 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 0/60 = 6.0000 hours. Distance = speed × time = 189 × 6.0000 = 1134.0 km.\n</reasoning>\nFinal Answer: 1134.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 6, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (36-1)×6 = 36 + 210 = 246.\n</reasoning>\nFinal Answer: 246"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 * 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/7) × (6/18) = (90/126) = 5/7 after simplification.\n</reasoning>\nFinal Answer: 5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 8, 16, 18] and B = [7, 8, 10, 14, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7, 8].\n</reasoning>\nFinal Answer: [7, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 * 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/11) × (3/19) = (21/209) = 21/209 after simplification.\n</reasoning>\nFinal Answer: 21/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 12) * (25 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+12)=49, (25-40)=-15, then 49×-15=-735.\n</reasoning>\nFinal Answer: -735"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 788 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 788 × (1 + 60/100) = 788 × 1.6 = 1260.8.\n</reasoning>\nFinal Answer: 1260.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -641 + -590"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -641 and -590: -641 + -590 = -1231.\n</reasoning>\nFinal Answer: -1231"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -320 × 161"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -320 by 161: -320 × 161 = -51520.\n</reasoning>\nFinal Answer: -51520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:44 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/44, so B = A × (44/4) = 51 × 44/4 = 561.0.\n</reasoning>\nFinal Answer: 561.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 124 × 596"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 124 by 596: 124 × 596 = 73904.\n</reasoning>\nFinal Answer: 73904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 2 = 508"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 23x = 506. Divide by 23: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 42 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+42) × 2 = 91.0.\n</reasoning>\nFinal Answer: 91.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -6 = -270"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 24x = -264. Divide by 24: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 + 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/20 + 16/7. Common denominator = 140. Result = 369/140.\n</reasoning>\nFinal Answer: 369/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 52 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 52 × 4 = 104.0.\n</reasoning>\nFinal Answer: 104.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 20% of 220?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 220 = (20/100) × 220 = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 30 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 3x = 105. Divide by 3: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -709 mod 836"
},
{
"role": "assistant",
"content": "<reasoning>\n-709 mod 836: -709 = 836 × -1 + 127, so remainder = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 16 + 16 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×16=128 and 16×35=560, then add: 688.\n</reasoning>\nFinal Answer: 688"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 63, 96, 35, 18, 84, 14, 27, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 429/9 = 47.6667.\n</reasoning>\nFinal Answer: 47.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 / 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/12) ÷ (5/13) = (9/12) × (13/5) = 39/20.\n</reasoning>\nFinal Answer: 39/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 - 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/13 - 13/1. LCD = 1. Result = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 * 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/9) × (1/2) = (18/18) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 35 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 13+1225-35=1203.\n</reasoning>\nFinal Answer: 1203"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 44 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (44×6)/2 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49453 at 16% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49453 × 16 × 3 / 100 = 23737.44.\n</reasoning>\nFinal Answer: 23737.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 5 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 6/11 = 0.5455.\n</reasoning>\nFinal Answer: 0.5455"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 84 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 84 × 30 = 2520.\n</reasoning>\nFinal Answer: 2520"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -6 = -363"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 21x = -357. Divide by 21: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 6 = 1116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 30x = 1110. Divide by 30: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -482 × 374"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -482 by 374: -482 × 374 = -180268.\n</reasoning>\nFinal Answer: -180268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 78 + 62"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 78 and 62: 78 + 62 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 444 km apart. Their speeds are 70 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+40=110 km/h. Time = 444/110 = 4.0364 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -236 ÷ 348"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -236 by 348. -236 ÷ 348 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 32, 64, 55, 16, 17, 75, 98, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 437/9 = 48.5556.\n</reasoning>\nFinal Answer: 48.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -41 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 1x = 48. Divide by 1: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -744 + 560"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -744 and 560: -744 + 560 = -184.\n</reasoning>\nFinal Answer: -184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 30 = -100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 13x = -130. Divide by 13: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 / 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/2) ÷ (5/6) = (5/2) × (6/5) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 5% of 321?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 321 = (5/100) × 321 = 16.05.\n</reasoning>\nFinal Answer: 16.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 65, 85, 105, 125]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 20. Next term = 125 + 20 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 47 + 9 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×47=1457 and 9×20=180, then add: 1637.\n</reasoning>\nFinal Answer: 1637"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 953 × -514"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 953 by -514: 953 × -514 = -489842.\n</reasoning>\nFinal Answer: -489842"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:4 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/4, so B = A × (4/9) = 5 × 4/9 = 2.2222.\n</reasoning>\nFinal Answer: 2.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "456 is what percentage of 463?"
},
{
"role": "assistant",
"content": "<reasoning>\n(456/463) × 100 = 98.4881%.\n</reasoning>\nFinal Answer: 98.4881%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -429 - -364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -364 from -429: -429 - -364 = -65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 27, 31, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 27 + 31 + 39 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 * 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/7) × (3/4) = (36/28) = 9/7 after simplification.\n</reasoning>\nFinal Answer: 9/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 870 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 870 × (1 + 15/100) = 870 × 1.15 = 1000.5.\n</reasoning>\nFinal Answer: 1000.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 25 = -434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 27x = -459. Divide by 27: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 47 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+47) × 49 = 2082.5.\n</reasoning>\nFinal Answer: 2082.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 56 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 56 × 3 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 76 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(76,7) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 * 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/9) × (16/3) = (192/27) = 64/9 after simplification.\n</reasoning>\nFinal Answer: 64/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:25 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/25, so B = A × (25/9) = 33 × 25/9 = 91.6667.\n</reasoning>\nFinal Answer: 91.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 166 km/h. How far does it travel in 10 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 12/60 = 10.2000 hours. Distance = speed × time = 166 × 10.2000 = 1693.2 km.\n</reasoning>\nFinal Answer: 1693.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -3 = -409"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 29x = -406. Divide by 29: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 800 + -437"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 800 and -437: 800 + -437 = 363.\n</reasoning>\nFinal Answer: 363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 1, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (34-1)×1 = 44 + 33 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 39, 91, 16, 36, 7, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 5 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 26 = 195.0.\n</reasoning>\nFinal Answer: 195.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:3 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/3, so B = A × (3/1) = 33 × 3/1 = 99.0.\n</reasoning>\nFinal Answer: 99.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 197."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 197 by smallest primes repeatedly: 197 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 10 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(10+22) = 2×32 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 257 ÷ 159"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 257 by 159. 257 ÷ 159 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 - 17/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/13 - 17/6. LCD = 78. Result = -197/78.\n</reasoning>\nFinal Answer: -197/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 17 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 17 = 323 worker-days. New time = 323 / 9 = 35.8889 days.\n</reasoning>\nFinal Answer: 35.8889"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 31, 68, 19, 20, 11, 52, 43, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 325/9 = 36.1111.\n</reasoning>\nFinal Answer: 36.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -518 mod 218"
},
{
"role": "assistant",
"content": "<reasoning>\n-518 mod 218: -518 = 218 × -3 + 136, so remainder = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 20 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 20 = 320 worker-days. New time = 320 / 9 = 35.5556 days.\n</reasoning>\nFinal Answer: 35.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 13 = 795"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 23x = 782. Divide by 23: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 14) * (49 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+14)=21, (49-35)=14, then 21×14=294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -18 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 1x = -31. Divide by 1: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 20 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 28+400-18=410.\n</reasoning>\nFinal Answer: 410"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-3)x + (-6) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×3×-6 = 81. √discriminant = 9. x = (-(-3) ± 9) / (2×3). Solutions: x = -1 or x = 2.\n</reasoning>\nFinal Answer: x = -1 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 750 - -213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -213 from 750: 750 - -213 = 963.\n</reasoning>\nFinal Answer: 963"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 996 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 996 × (1 - 100/100) = 996 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 * 12/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/15) × (12/11) = (96/165) = 32/55 after simplification.\n</reasoning>\nFinal Answer: 32/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 63 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n63 = 3 × 21, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Ravi has 29 apples and buys 50 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 29 + 50 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 59 ÷ 268"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 59 by 268. 59 ÷ 268 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 37 + 26 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×37=333 and 26×2=52, then add: 385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [32, 32, 57, 4, 58, 34, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 32, 32, 34, 57, 58, 79]. Middle value(s) → median = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 40 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 40 × 50 = 2000.\n</reasoning>\nFinal Answer: 2000"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 13 = -428"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 9x = -441. Divide by 9: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 56 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 56 × 98 = 2744.0.\n</reasoning>\nFinal Answer: 2744.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:1 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/1, so B = A × (1/24) = 57 × 1/24 = 2.375.\n</reasoning>\nFinal Answer: 2.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 80 and 177."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(80,177) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (0)x + (-64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×1×-64 = 256. √discriminant = 16. x = (-(0) ± 16) / (2×1). Solutions: x = -8 or x = 8.\n</reasoning>\nFinal Answer: x = -8 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.