messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 29x + 0 = 812"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 29x = 812. Divide by 29: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 75% of 275?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 275 = (75/100) × 275 = 206.25.\n</reasoning>\nFinal Answer: 206.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 72 = 3060.0.\n</reasoning>\nFinal Answer: 3060.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 / 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/18) ÷ (16/11) = (1/18) × (11/16) = 11/288.\n</reasoning>\nFinal Answer: 11/288"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 34 = 169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 9x = 135. Divide by 9: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 3, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (25-1)×3 = 38 + 72 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 47 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 21+2209-9=2221.\n</reasoning>\nFinal Answer: 2221"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:1 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/1, so B = A × (1/31) = 58 × 1/31 = 1.871.\n</reasoning>\nFinal Answer: 1.871"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 3, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (37-1)×3 = 4 + 108 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 922 + 275"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 922 and 275: 922 + 275 = 1197.\n</reasoning>\nFinal Answer: 1197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 312 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 312 × (1 - 15/100) = 312 × 0.85 = 265.2.\n</reasoning>\nFinal Answer: 265.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -5 = 391"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 22x = 396. Divide by 22: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 14, 17, 19] and B = [6, 7, 11, 15, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 7, 11, 12, 14, 15, 16, 17, 19].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+100) = 2×195 = 390.\n</reasoning>\nFinal Answer: 390"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 30 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 30 × 10 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 - 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/7 - 10/4. LCD = 14. Result = -15/14.\n</reasoning>\nFinal Answer: -15/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 23 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(23+96) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 25 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 36+625-29=632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [55, 19, 37, 30, 82, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {55: 1, 19: 1, 37: 1, 30: 1, 82: 1, 57: 1}. Most frequent: [55, 19, 37, 30, 82, 57].\n</reasoning>\nFinal Answer: [55, 19, 37, 30, 82, 57]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 95 = 2042.5.\n</reasoning>\nFinal Answer: 2042.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "122 is what percentage of 549?"
},
{
"role": "assistant",
"content": "<reasoning>\n(122/549) × 100 = 22.2222%.\n</reasoning>\nFinal Answer: 22.2222%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 8, 9, 13, 15, 19] and B = [1, 2, 7, 13, 16, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 13, 19].\n</reasoning>\nFinal Answer: [1, 13, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 91 and 123."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(91,123) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:24 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/24, so B = A × (24/22) = 14 × 24/22 = 15.2727.\n</reasoning>\nFinal Answer: 15.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 29 = 271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 22x = 242. Divide by 22: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 735 ÷ -452"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 735 by -452. 735 ÷ -452 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 53, 36, 47, 37, 42, 92, 89, 81, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 16 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 55 km/h. How far does it travel in 4 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 59/60 = 4.9833 hours. Distance = speed × time = 55 × 4.9833 = 274.0833 km.\n</reasoning>\nFinal Answer: 274.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:35 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/35, so B = A × (35/33) = 59 × 35/33 = 62.5758.\n</reasoning>\nFinal Answer: 62.5758"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "129 is what percentage of 943?"
},
{
"role": "assistant",
"content": "<reasoning>\n(129/943) × 100 = 13.6797%.\n</reasoning>\nFinal Answer: 13.6797%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 21 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 21 × (1 - 60/100) = 21 × 0.4 = 8.4.\n</reasoning>\nFinal Answer: 8.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 1 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 14/60 = 1.2333 hours. Distance = speed × time = 121 × 1.2333 = 149.2333 km.\n</reasoning>\nFinal Answer: 149.2333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:45 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/45, so B = A × (45/28) = 83 × 45/28 = 133.3929.\n</reasoning>\nFinal Answer: 133.3929"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 14 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 24+196-10=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -828 - 224"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 224 from -828: -828 - 224 = -1052.\n</reasoning>\nFinal Answer: -1052"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 3% of 372?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 372 = (3/100) × 372 = 11.16.\n</reasoning>\nFinal Answer: 11.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -413 - 373"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 373 from -413: -413 - 373 = -786.\n</reasoning>\nFinal Answer: -786"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 2/4. LCD = 14. Result = -1/14.\n</reasoning>\nFinal Answer: -1/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 38 + 24 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×38=1634 and 24×23=552, then add: 2186.\n</reasoning>\nFinal Answer: 2186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -414 ÷ -490"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -414 by -490. -414 ÷ -490 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 937 - 137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 137 from 937: 937 - 137 = 800.\n</reasoning>\nFinal Answer: 800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4340. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4340 × 5/100 = 217.0. Total = 4340 + 217.0 = 4557.0.\n</reasoning>\nFinal Answer: 4557.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 32, 52, 19, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 32, 52, 85, 90]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 516 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 516 × (1 - 12/100) = 516 × 0.88 = 454.08.\n</reasoning>\nFinal Answer: 454.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 133 - 386"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 386 from 133: 133 - 386 = -253.\n</reasoning>\nFinal Answer: -253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 89 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 89 × 25 = 1112.5.\n</reasoning>\nFinal Answer: 1112.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 - 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/12 - 4/19. LCD = 57. Result = 64/57.\n</reasoning>\nFinal Answer: 64/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 27 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 6+729-50=685.\n</reasoning>\nFinal Answer: 685"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -50 = -38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 4x = 12. Divide by 4: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 32, 34, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 32 + 34 + 40 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 7] and B = [2, 5, 10, 11, 13, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 7].\n</reasoning>\nFinal Answer: [1, 3, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 174 and 93."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(174,93) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 5."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+5) = 2×21 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 709 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 709 × (1 - 45/100) = 709 × 0.55 = 389.95.\n</reasoning>\nFinal Answer: 389.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 466 km apart. Their speeds are 49 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+43=92 km/h. Time = 466/92 = 5.0652 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -789 - 887"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 887 from -789: -789 - 887 = -1676.\n</reasoning>\nFinal Answer: -1676"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 170 km/h. How far does it travel in 5 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 17/60 = 5.2833 hours. Distance = speed × time = 170 × 5.2833 = 898.1667 km.\n</reasoning>\nFinal Answer: 898.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 24 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 4x = -36. Divide by 4: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 76, 76, 87, 16, 13, 20, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 76: 2, 87: 1, 16: 1, 13: 1, 20: 1, 61: 1}. Most frequent: 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 155."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 155 by smallest primes repeatedly: 155 = 5 × 31.\n</reasoning>\nFinal Answer: 5 × 31"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 824 - -573"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -573 from 824: 824 - -573 = 1397.\n</reasoning>\nFinal Answer: 1397"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 79 = 869.\n</reasoning>\nFinal Answer: 869"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 78, 18, 54, 95, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 78: 1, 18: 1, 54: 1, 95: 1, 77: 1}. Most frequent: [70, 78, 18, 54, 95, 77].\n</reasoning>\nFinal Answer: [70, 78, 18, 54, 95, 77]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -86 - -619"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -619 from -86: -86 - -619 = 533.\n</reasoning>\nFinal Answer: 533"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 82, 30, 33, 99, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 30 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 - 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/13 - 17/8. LCD = 104. Result = -173/104.\n</reasoning>\nFinal Answer: -173/104"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 + 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/7 + 19/13. Common denominator = 91. Result = 354/91.\n</reasoning>\nFinal Answer: 354/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 16 + 9 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×16=48 and 9×10=90, then add: 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 / 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/19) ÷ (7/12) = (6/19) × (12/7) = 72/133.\n</reasoning>\nFinal Answer: 72/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 47 = 2538.\n</reasoning>\nFinal Answer: 2538"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 42 - -158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -158 from 42: 42 - -158 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 * 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/20) × (14/14) = (84/280) = 3/10 after simplification.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:36 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/36, so B = A × (36/17) = 27 × 36/17 = 57.1765.\n</reasoning>\nFinal Answer: 57.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -28 = -600"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 22x = -572. Divide by 22: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 50% of 923?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 923 = (50/100) × 923 = 461.5.\n</reasoning>\nFinal Answer: 461.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 10, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (27-1)×10 = 17 + 260 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 177 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 177 × (1 + 7/100) = 177 × 1.07 = 189.39.\n</reasoning>\nFinal Answer: 189.39"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 - 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/13 - 14/16. LCD = 104. Result = 5/104.\n</reasoning>\nFinal Answer: 5/104"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 93 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(93+88) = 2×181 = 362.\n</reasoning>\nFinal Answer: 362"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 666 ÷ -914"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 666 by -914. 666 ÷ -914 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 94, 56, 19, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 94: 1, 56: 1, 19: 1, 71: 1}. Most frequent: [8, 94, 56, 19, 71].\n</reasoning>\nFinal Answer: [8, 94, 56, 19, 71]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+47) = 2×139 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 11/7 / 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/7) ÷ (11/13) = (11/7) × (13/11) = 13/7.\n</reasoning>\nFinal Answer: 13/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 22) * (4 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+22)=70, (4-32)=-28, then 70×-28=-1960.\n</reasoning>\nFinal Answer: -1960"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 160 - -855"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -855 from 160: 160 - -855 = 1015.\n</reasoning>\nFinal Answer: 1015"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+36) = 2×125 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 418 mod -892"
},
{
"role": "assistant",
"content": "<reasoning>\n418 mod -892: 418 = -892 × -1 + -474, so remainder = -474.\n</reasoning>\nFinal Answer: -474"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 43 = 1174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 29x = 1131. Divide by 29: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 9, 8, 100, 78, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 9, 19, 63, 78, 100]. Middle value(s) → median = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -793 × 785"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -793 by 785: -793 × 785 = -622505.\n</reasoning>\nFinal Answer: -622505"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 35, 3, 49, 11, 10, 14, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 3 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 969 km apart. Their speeds are 105 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+77=182 km/h. Time = 969/182 = 5.3242 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 639 ÷ 905"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 639 by 905. 639 ÷ 905 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 * 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/14) × (20/12) = (80/168) = 10/21 after simplification.\n</reasoning>\nFinal Answer: 10/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -463 mod 8"
},
{
"role": "assistant",
"content": "<reasoning>\n-463 mod 8: -463 = 8 × -58 + 1, so remainder = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 15 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 15 × 43 = 645.\n</reasoning>\nFinal Answer: 645"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -35 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 23x = 46. Divide by 23: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 12 = -18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 6x = -30. Divide by 6: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -24 = -372"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 29x = -348. Divide by 29: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -50 = -848"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 21x = -798. Divide by 21: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
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