messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 39 * 50 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×50=1950, then 38+1950-39=1949.\n</reasoning>\nFinal Answer: 1949"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 22 = 14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 4x = -8. Divide by 4: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 17, 21, 9, 54, 45, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 17: 1, 21: 1, 9: 1, 54: 1, 45: 1, 59: 1}. Most frequent: [98, 17, 21, 9, 54, 45, 59].\n</reasoning>\nFinal Answer: [98, 17, 21, 9, 54, 45, 59... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 9 = 291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 6x = 282. Divide by 6: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -951 ÷ 615"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -951 by 615. -951 ÷ 615 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹394. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 394 × 5/100 = 19.7. Total = 394 + 19.7 = 413.7.\n</reasoning>\nFinal Answer: 413.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 17, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (20-1)×17 = 26 + 323 = 349.\n</reasoning>\nFinal Answer: 349"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 7 = 574.\n</reasoning>\nFinal Answer: 574"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 / 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/10) ÷ (12/18) = (9/10) × (18/12) = 27/20.\n</reasoning>\nFinal Answer: 27/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:17 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/17, so B = A × (17/16) = 15 × 17/16 = 15.9375.\n</reasoning>\nFinal Answer: 15.9375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+15) = 2×91 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 27 = -673"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 20x = -700. Divide by 20: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 85 = 2975.\n</reasoning>\nFinal Answer: 2975"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 65% of 231?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 231 = (65/100) × 231 = 150.15.\n</reasoning>\nFinal Answer: 150.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 35 × -674"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 35 by -674: 35 × -674 = -23590.\n</reasoning>\nFinal Answer: -23590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [58, 93, 54, 25, 72, 97, 12, 68, 13, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 12 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 71 and 98."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(71,98) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "357 is what percentage of 386?"
},
{
"role": "assistant",
"content": "<reasoning>\n(357/386) × 100 = 92.487%.\n</reasoning>\nFinal Answer: 92.487%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 4 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 4/9 = 0.4444.\n</reasoning>\nFinal Answer: 0.4444"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 21 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(21+53) = 2×74 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 703 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 703 × (1 - 100/100) = 703 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 29 + 35 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×29=986 and 35×25=875, then add: 1861.\n</reasoning>\nFinal Answer: 1861"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 10] and B = [1, 5, 9, 12, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 9, 10, 12, 17].\n</reasoning>\nFinal Answer: [1, 4, 5, 9, 10, 12, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -43 = 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 5x = 135. Divide by 5: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 660 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 660 × (1 + 5/100) = 660 × 1.05 = 693.0.\n</reasoning>\nFinal Answer: 693.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 82 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 82 × 62 = 2542.0.\n</reasoning>\nFinal Answer: 2542.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [84, 71, 57, 78, 99, 19, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {84: 1, 71: 1, 57: 1, 78: 1, 99: 1, 19: 1, 92: 1}. Most frequent: [84, 71, 57, 78, 99, 19, 92].\n</reasoning>\nFinal Answer: [84, 71, 57, 78, 99, 19... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 119 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(119,10) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 5% of 752?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 752 = (5/100) × 752 = 37.6.\n</reasoning>\nFinal Answer: 37.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 36, 73, 65, 16, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 36: 1, 73: 1, 65: 1, 16: 1, 4: 1}. Most frequent: [60, 36, 73, 65, 16, 4].\n</reasoning>\nFinal Answer: [60, 36, 73, 65, 16, 4]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 309 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 309 × (1 + 5/100) = 309 × 1.05 = 324.45.\n</reasoning>\nFinal Answer: 324.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 450 × -423"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 450 by -423: 450 × -423 = -190350.\n</reasoning>\nFinal Answer: -190350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 660 ÷ 150"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 660 by 150. 660 ÷ 150 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 13, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (46-1)×13 = 41 + 585 = 626.\n</reasoning>\nFinal Answer: 626"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (12)x + (16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×2×16 = 16. √discriminant = 4. x = (-(12) ± 4) / (2×2). Solutions: x = -4 or x = -2.\n</reasoning>\nFinal Answer: x = -4 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:21 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/21, so B = A × (21/9) = 36 × 21/9 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 / 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/17) ÷ (18/6) = (17/17) × (6/18) = 1/3.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 22 = 568"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 13x = 546. Divide by 13: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:37 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/37, so B = A × (37/44) = 76 × 37/44 = 63.9091.\n</reasoning>\nFinal Answer: 63.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 + 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/7 + 17/14. Common denominator = 14. Result = 47/14.\n</reasoning>\nFinal Answer: 47/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -546 × -942"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -546 by -942: -546 × -942 = 514332.\n</reasoning>\nFinal Answer: 514332"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 157 apples and buys 194 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 157 + 194 = 351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 56 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 56 × 61 = 3416.\n</reasoning>\nFinal Answer: 3416"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 29, 38, 97, 90, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 354/6 = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 34 = -746"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 30x = -780. Divide by 30: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 29 * 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×2=58, then 43+58-39=62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 74 = 3515.0.\n</reasoning>\nFinal Answer: 3515.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -516 mod -774"
},
{
"role": "assistant",
"content": "<reasoning>\n-516 mod -774: -516 = -774 × 0 + -516, so remainder = -516.\n</reasoning>\nFinal Answer: -516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 288 mod -564"
},
{
"role": "assistant",
"content": "<reasoning>\n288 mod -564: 288 = -564 × -1 + -276, so remainder = -276.\n</reasoning>\nFinal Answer: -276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 27 = 217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 19x = 190. Divide by 19: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 23, 38, 66, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 23 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -634 × 102"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -634 by 102: -634 × 102 = -64668.\n</reasoning>\nFinal Answer: -64668"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 40, 47, 83, 72, 16, 23, 11, 50, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 16, 23, 27, 40, 47, 50, 57, 72, 83]. Middle value(s) → median = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 59 = 265.5.\n</reasoning>\nFinal Answer: 265.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -28 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 18x = 162. Divide by 18: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:12 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/12, so B = A × (12/33) = 94 × 12/33 = 34.1818.\n</reasoning>\nFinal Answer: 34.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -44 = -1024"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 20x = -980. Divide by 20: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 629 + -988"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 629 and -988: 629 + -988 = -359.\n</reasoning>\nFinal Answer: -359"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 420."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 420 by smallest primes repeatedly: 420 = 2 × 2 × 3 × 5 × 7.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 5 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 34 * 46 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×46=1564, then 48+1564-5=1607.\n</reasoning>\nFinal Answer: 1607"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -13 = -48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 5x = -35. Divide by 5: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -2 mod 635"
},
{
"role": "assistant",
"content": "<reasoning>\n-2 mod 635: -2 = 635 × -1 + 633, so remainder = 633.\n</reasoning>\nFinal Answer: 633"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 - 9/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/16 - 9/12. LCD = 8. Result = 1/8.\n</reasoning>\nFinal Answer: 1/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/14 * 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/14) × (15/9) = (135/126) = 15/14 after simplification.\n</reasoning>\nFinal Answer: 15/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 28 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+28) × 3 = 75.0.\n</reasoning>\nFinal Answer: 75.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 862 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 862 × (1 + 60/100) = 862 × 1.6 = 1379.2.\n</reasoning>\nFinal Answer: 1379.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 33 + 25 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×33=132 and 25×41=1025, then add: 1157.\n</reasoning>\nFinal Answer: 1157"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -482 + -494"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -482 and -494: -482 + -494 = -976.\n</reasoning>\nFinal Answer: -976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 324?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 324 = (80/100) × 324 = 259.2.\n</reasoning>\nFinal Answer: 259.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -29 = 1371"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 28x = 1400. Divide by 28: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 292 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 292 × (1 + 75/100) = 292 × 1.75 = 511.0.\n</reasoning>\nFinal Answer: 511.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [100, 58, 16, 100, 5, 30, 93, 69, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 5 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:15 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/15, so B = A × (15/31) = 16 × 15/31 = 7.7419.\n</reasoning>\nFinal Answer: 7.7419"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 80 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 80 × 6 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [74, 30, 91, 85, 1, 81, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {74: 1, 30: 1, 91: 1, 85: 1, 1: 1, 81: 1, 61: 1}. Most frequent: [74, 30, 91, 85, 1, 81, 61].\n</reasoning>\nFinal Answer: [74, 30, 91, 85, 1, 81, 61... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 70% of 60?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 60 = (70/100) × 60 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/17 * 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/17) × (12/6) = (180/102) = 30/17 after simplification.\n</reasoning>\nFinal Answer: 30/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 922 ÷ 844"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 922 by 844. 922 ÷ 844 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 51, 69, 87, 105]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 18. Next term = 105 + 18 = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 77 km/h. How far does it travel in 11 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 10/60 = 11.1667 hours. Distance = speed × time = 77 × 11.1667 = 859.8333 km.\n</reasoning>\nFinal Answer: 859.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 7, 9, 11, 14, 18] and B = [7, 9, 10, 11, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 14].\n</reasoning>\nFinal Answer: [3, 4, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 54."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 54 by smallest primes repeatedly: 54 = 2 × 3 × 3 × 3.\n</reasoning>\nFinal Answer: 2 × 3 × 3 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 12 * 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×2=24, then 19+24-16=27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -869 + -246"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -869 and -246: -869 + -246 = -1115.\n</reasoning>\nFinal Answer: -1115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 48 * 38 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×38=1824, then 38+1824-38=1824.\n</reasoning>\nFinal Answer: 1824"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 45 + 3 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×45=675 and 3×1=3, then add: 678.\n</reasoning>\nFinal Answer: 678"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -47 = 289"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 8x = 336. Divide by 8: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -771 × -795"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -771 by -795: -771 × -795 = 612945.\n</reasoning>\nFinal Answer: 612945"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 23, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 23 + 34 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -280 + -488"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -280 and -488: -280 + -488 = -768.\n</reasoning>\nFinal Answer: -768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -14 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 3x = -90. Divide by 3: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 38, 31, 38, 56, 49, 51, 41, 53, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 31 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 166 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 166 × (1 - 75/100) = 166 × 0.25 = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 7, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (12-1)×7 = 6 + 77 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 * 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/18) × (3/20) = (27/360) = 3/40 after simplification.\n</reasoning>\nFinal Answer: 3/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 20 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 20 = 360 worker-days. New time = 360 / 15 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 23, 96, 71, 10, 41, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 23: 1, 96: 1, 71: 1, 10: 1, 41: 1, 36: 1}. Most frequent: [61, 23, 96, 71, 10, 41, 36].\n</reasoning>\nFinal Answer: [61, 23, 96, 71, 10, 41... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 19 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 19 = 228 worker-days. New time = 228 / 3 = 76.0 days.\n</reasoning>\nFinal Answer: 76.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (6)x + (-40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×1×-40 = 196. √discriminant = 14. x = (-(6) ± 14) / (2×1). Solutions: x = 4 or x = -10.\n</reasoning>\nFinal Answer: x = 4 or x = -10"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 848 ÷ 577"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 848 by 577. 848 ÷ 577 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
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