messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 27, 46, 65, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 19. Next term = 84 + 19 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -48 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 2x = 60. Divide by 2: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:19 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/19, so B = A × (19/2) = 55 × 19/2 = 522.5.\n</reasoning>\nFinal Answer: 522.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 46, 69, 43, 84, 24, 76, 45, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 46: 1, 69: 1, 43: 1, 84: 1, 24: 1, 76: 1, 45: 1, 96: 1}. Most frequent: [27, 46, 69, 43, 84, 24, 76, 45, 96].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 * 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/12) × (14/2) = (126/24) = 21/4 after simplification.\n</reasoning>\nFinal Answer: 21/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -232 mod 459"
},
{
"role": "assistant",
"content": "<reasoning>\n-232 mod 459: -232 = 459 × -1 + 227, so remainder = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 10 + 24 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×10=160 and 24×17=408, then add: 568.\n</reasoning>\nFinal Answer: 568"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 674 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 674 × (1 + 65/100) = 674 × 1.65 = 1112.1.\n</reasoning>\nFinal Answer: 1112.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 10 * 44 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×44=440, then 43+440-47=436.\n</reasoning>\nFinal Answer: 436"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 12 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(12,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 675 × -397"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 675 by -397: 675 × -397 = -267975.\n</reasoning>\nFinal Answer: -267975"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 278 km apart. Their speeds are 109 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+69=178 km/h. Time = 278/178 = 1.5618 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 38, 49, 28, 12, 24, 92, 81, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 424/9 = 47.1111.\n</reasoning>\nFinal Answer: 47.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 48, 13, 67, 67, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 357/6 = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 8, 75, 80, 10, 26, 70, 13, 68, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 10, 13, 17, 26, 39, 68, 70, 75, 80]. Middle value(s) → median = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+49) = 2×135 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 + 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/16 + 18/15. Common denominator = 40. Result = 83/40.\n</reasoning>\nFinal Answer: 83/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 561 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 561 × (1 + 25/100) = 561 × 1.25 = 701.25.\n</reasoning>\nFinal Answer: 701.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 283 + 585"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 283 and 585: 283 + 585 = 868.\n</reasoning>\nFinal Answer: 868"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 8, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (22-1)×8 = 39 + 168 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 882 × 815"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 882 by 815: 882 × 815 = 718830.\n</reasoning>\nFinal Answer: 718830"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 209 km apart. Their speeds are 85 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+101=186 km/h. Time = 209/186 = 1.1237 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 18 = -942"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 30x = -960. Divide by 30: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -48 = 414"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 11x = 462. Divide by 11: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 75% of 758?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 758 = (75/100) × 758 = 568.5.\n</reasoning>\nFinal Answer: 568.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [11, 12, 13, 15, 16] and B = [1, 5, 7, 9, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 7, 9, 11, 12, 13, 16].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹3437. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3437 × 18/100 = 618.66. Total = 3437 + 618.66 = 4055.66.\n</reasoning>\nFinal Answer: 4055.66"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "376 is what percentage of 413?"
},
{
"role": "assistant",
"content": "<reasoning>\n(376/413) × 100 = 91.0412%.\n</reasoning>\nFinal Answer: 91.0412%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 558 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 558 × (1 + 60/100) = 558 × 1.6 = 892.8.\n</reasoning>\nFinal Answer: 892.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -918 mod -693"
},
{
"role": "assistant",
"content": "<reasoning>\n-918 mod -693: -918 = -693 × 1 + -225, so remainder = -225.\n</reasoning>\nFinal Answer: -225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:48 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/48, so B = A × (48/40) = 85 × 48/40 = 102.0.\n</reasoning>\nFinal Answer: 102.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 505 km apart. Their speeds are 109 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+96=205 km/h. Time = 505/205 = 2.4634 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -534 - -982"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -982 from -534: -534 - -982 = 448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 481 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 481 × (1 + 10/100) = 481 × 1.1 = 529.1.\n</reasoning>\nFinal Answer: 529.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 960 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 960 × (1 - 25/100) = 960 × 0.75 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:39 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/39, so B = A × (39/2) = 94 × 39/2 = 1833.0.\n</reasoning>\nFinal Answer: 1833.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 / 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/5) ÷ (2/20) = (3/5) × (20/2) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 34 = 874"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 21x = 840. Divide by 21: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 319?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 319 = (40/100) × 319 = 127.6.\n</reasoning>\nFinal Answer: 127.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1656. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1656 × 18/100 = 298.08. Total = 1656 + 298.08 = 1954.08.\n</reasoning>\nFinal Answer: 1954.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -578 × 444"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -578 by 444: -578 × 444 = -256632.\n</reasoning>\nFinal Answer: -256632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 135 apples and buys 51 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 135 + 51 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:27 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/27, so B = A × (27/28) = 41 × 27/28 = 39.5357.\n</reasoning>\nFinal Answer: 39.5357"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 20 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 15+400-22=393.\n</reasoning>\nFinal Answer: 393"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 87, 35, 91, 21, 37, 43, 97, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 87: 1, 35: 1, 91: 1, 21: 1, 37: 1, 43: 1, 97: 1, 50: 1}. Most frequent: [14, 87, 35, 91, 21, 37, 43, 97, 50].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 50 + 48 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×50=2200 and 48×22=1056, then add: 3256.\n</reasoning>\nFinal Answer: 3256"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 40 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 40 × 12 = 480.\n</reasoning>\nFinal Answer: 480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:30 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/30, so B = A × (30/6) = 69 × 30/6 = 345.0.\n</reasoning>\nFinal Answer: 345.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 17 = 493.\n</reasoning>\nFinal Answer: 493"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 7, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (14-1)×7 = 35 + 91 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 7, 13, 15, 19] and B = [2, 3, 6, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 7, 13, 15, 17, 18, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -7 = -115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 6x = -108. Divide by 6: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -31 = 704"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 15x = 735. Divide by 15: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:15 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/15, so B = A × (15/3) = 61 × 15/3 = 305.0.\n</reasoning>\nFinal Answer: 305.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 74 = 2109.0.\n</reasoning>\nFinal Answer: 2109.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 10% of 363?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 363 = (10/100) × 363 = 36.3.\n</reasoning>\nFinal Answer: 36.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 28 = 396"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 23x = 368. Divide by 23: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:5 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/5, so B = A × (5/45) = 84 × 5/45 = 9.3333.\n</reasoning>\nFinal Answer: 9.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 25% of 17?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 17 = (25/100) × 17 = 4.25.\n</reasoning>\nFinal Answer: 4.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 * 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/7) × (14/15) = (280/105) = 8/3 after simplification.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:12 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/12, so B = A × (12/31) = 26 × 12/31 = 10.0645.\n</reasoning>\nFinal Answer: 10.0645"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39607 at 6% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39607 × 6 × 8 / 100 = 19011.36.\n</reasoning>\nFinal Answer: 19011.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 20 = 436"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 16x = 416. Divide by 16: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 673 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 673 × (1 - 15/100) = 673 × 0.85 = 572.05.\n</reasoning>\nFinal Answer: 572.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 161 and 82."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(161,82) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 + 3/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/5 + 3/2. Common denominator = 2. Result = 9/2.\n</reasoning>\nFinal Answer: 9/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 4 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+4) × 13 = 78.0.\n</reasoning>\nFinal Answer: 78.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 * 15/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/3) × (15/4) = (240/12) = 20 after simplification.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -886 mod 992"
},
{
"role": "assistant",
"content": "<reasoning>\n-886 mod 992: -886 = 992 × -1 + 106, so remainder = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 622 mod 637"
},
{
"role": "assistant",
"content": "<reasoning>\n622 mod 637: 622 = 637 × 0 + 622, so remainder = 622.\n</reasoning>\nFinal Answer: 622"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 + 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/11 + 4/12. Common denominator = 33. Result = 38/33.\n</reasoning>\nFinal Answer: 38/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 8, 9, 16, 17, 19] and B = [3, 10, 14, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 6, 8, 9, 10, 14, 16, 17, 19].\n</reasoning>\nFinal Answer: [2, 3, 5,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 41 = 611"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 15x = 570. Divide by 15: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 32 * 9 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×9=288, then 39+288-1=326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 1 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 1/11 = 0.0909.\n</reasoning>\nFinal Answer: 0.0909"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 605 - -850"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -850 from 605: 605 - -850 = 1455.\n</reasoning>\nFinal Answer: 1455"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -694 + -555"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -694 and -555: -694 + -555 = -1249.\n</reasoning>\nFinal Answer: -1249"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 92 apples and buys 105 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 92 + 105 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 18, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (17-1)×18 = 9 + 288 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 931 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 931 × (1 - 20/100) = 931 × 0.8 = 744.8.\n</reasoning>\nFinal Answer: 744.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 14 = -298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 24x = -312. Divide by 24: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 2 apples and buys 173 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 2 + 173 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 * 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/8) × (13/11) = (208/88) = 26/11 after simplification.\n</reasoning>\nFinal Answer: 26/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 18, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (49-1)×18 = 43 + 864 = 907.\n</reasoning>\nFinal Answer: 907"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -30 = 753"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 27x = 783. Divide by 27: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 12) * (17 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+12)=53, (17-35)=-18, then 53×-18=-954.\n</reasoning>\nFinal Answer: -954"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 29 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+29) × 45 = 1597.5.\n</reasoning>\nFinal Answer: 1597.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "51 is what percentage of 608?"
},
{
"role": "assistant",
"content": "<reasoning>\n(51/608) × 100 = 8.3882%.\n</reasoning>\nFinal Answer: 8.3882%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 14 = -146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 5x = -160. Divide by 5: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "690 is what percentage of 841?"
},
{
"role": "assistant",
"content": "<reasoning>\n(690/841) × 100 = 82.0452%.\n</reasoning>\nFinal Answer: 82.0452%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 161 and 119."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(161,119) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (4)x + (-60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×1×-60 = 256. √discriminant = 16. x = (-(4) ± 16) / (2×1). Solutions: x = -10 or x = 6.\n</reasoning>\nFinal Answer: x = -10 or x = 6"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 12, 13, 17, 18] and B = [11, 15, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 10, 11, 12, 13, 15, 16, 17, 18].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 21 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(21,21) = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 13 * 43 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×43=559, then 40+559-28=571.\n</reasoning>\nFinal Answer: 571"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40003 at 1% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40003 × 1 × 5 / 100 = 2000.15.\n</reasoning>\nFinal Answer: 2000.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 * 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/18) × (14/3) = (126/54) = 7/3 after simplification.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 29 = 1711.\n</reasoning>\nFinal Answer: 1711"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 97 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 97 × (1 - 45/100) = 97 × 0.55 = 53.35.\n</reasoning>\nFinal Answer: 53.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×16)/1 = 592.\n</reasoning>\nFinal Answer: 592"
}
] | medium | [
"number_theory",
"lcm"
] |
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