messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 94 = 611.0.\n</reasoning>\nFinal Answer: 611.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 * 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/4) × (12/12) = (108/48) = 9/4 after simplification.\n</reasoning>\nFinal Answer: 9/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -27 = 623"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 25x = 650. Divide by 25: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 254 × -413"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 254 by -413: 254 × -413 = -104902.\n</reasoning>\nFinal Answer: -104902"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 54 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(54+99) = 2×153 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 7 + 37 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×7=203 and 37×4=148, then add: 351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 145 apples and buys 154 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 145 + 154 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 14, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (38-1)×14 = 43 + 518 = 561.\n</reasoning>\nFinal Answer: 561"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 830 km apart. Their speeds are 89 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+107=196 km/h. Time = 830/196 = 4.2347 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 831 × 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 831 by 19: 831 × 19 = 15789.\n</reasoning>\nFinal Answer: 15789"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 558 ÷ 527"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 558 by 527. 558 ÷ 527 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 908 mod 117"
},
{
"role": "assistant",
"content": "<reasoning>\n908 mod 117: 908 = 117 × 7 + 89, so remainder = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 13 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×3)/3 = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 23 = -211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 18x = -234. Divide by 18: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [27, 82, 59, 52, 50, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 27 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -801 + 729"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -801 and 729: -801 + 729 = -72.\n</reasoning>\nFinal Answer: -72"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 81, 76, 26, 64, 5, 98, 65, 91, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 81: 1, 76: 1, 26: 1, 64: 1, 5: 1, 98: 1, 65: 1, 91: 1, 22: 1}. Most frequent: [56, 81, 76, 26, 64, 5, 98, 65, 91, 22].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 14, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (50-1)×14 = 41 + 686 = 727.\n</reasoning>\nFinal Answer: 727"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 46 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 42+2116-7=2151.\n</reasoning>\nFinal Answer: 2151"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 13, 15, 17, 19] and B = [1, 3, 7, 8, 12, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 6, 7, 8, 12, 13, 15, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 6, 7,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 44 + 44 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×44=1936 and 44×9=396, then add: 2332.\n</reasoning>\nFinal Answer: 2332"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = -380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = -336. Divide by 7: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 49 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 45+2401-14=2432.\n</reasoning>\nFinal Answer: 2432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2633. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2633 × 18/100 = 473.94. Total = 2633 + 473.94 = 3106.94.\n</reasoning>\nFinal Answer: 3106.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 77 mod 18"
},
{
"role": "assistant",
"content": "<reasoning>\n77 mod 18: 77 = 18 × 4 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 47 km/h. How far does it travel in 4 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 1/60 = 4.0167 hours. Distance = speed × time = 47 × 4.0167 = 188.7833 km.\n</reasoning>\nFinal Answer: 188.7833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 5 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 12+25-1=36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 5 = 1252"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 29x = 1247. Divide by 29: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 39 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 39 × (1 + 35/100) = 39 × 1.35 = 52.65.\n</reasoning>\nFinal Answer: 52.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 1, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (45-1)×1 = 21 + 44 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 20% of 97?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 97 = (20/100) × 97 = 19.4.\n</reasoning>\nFinal Answer: 19.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 / 8/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/15) ÷ (8/3) = (15/15) × (3/8) = 3/8.\n</reasoning>\nFinal Answer: 3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 987 mod -120"
},
{
"role": "assistant",
"content": "<reasoning>\n987 mod -120: 987 = -120 × -9 + -93, so remainder = -93.\n</reasoning>\nFinal Answer: -93"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -6 = -552"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 14x = -546. Divide by 14: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "311 is what percentage of 328?"
},
{
"role": "assistant",
"content": "<reasoning>\n(311/328) × 100 = 94.8171%.\n</reasoning>\nFinal Answer: 94.8171%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 3 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 2/5 = 0.4.\n</reasoning>\nFinal Answer: 0.4"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 9 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+9) × 25 = 262.5.\n</reasoning>\nFinal Answer: 262.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×49)/1 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 - 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/15 - 2/1. LCD = 15. Result = -11/15.\n</reasoning>\nFinal Answer: -11/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -941 - 750"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 750 from -941: -941 - 750 = -1691.\n</reasoning>\nFinal Answer: -1691"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 + 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/20 + 18/3. Common denominator = 20. Result = 127/20.\n</reasoning>\nFinal Answer: 127/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 945 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 945 × (1 - 80/100) = 945 × 0.19999999999999996 = 189.0.\n</reasoning>\nFinal Answer: 189.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -895 × 742"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -895 by 742: -895 × 742 = -664090.\n</reasoning>\nFinal Answer: -664090"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 14 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+14) × 48 = 480.0.\n</reasoning>\nFinal Answer: 480.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 - 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/3 - 12/12. LCD = 1. Result = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 96 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 96 × 45 = 2160.0.\n</reasoning>\nFinal Answer: 2160.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 59 - -869"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -869 from 59: 59 - -869 = 928.\n</reasoning>\nFinal Answer: 928"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -551 ÷ -72"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -551 by -72. -551 ÷ -72 = 7 (integer division).\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-3)x + (-36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×3×-36 = 441. √discriminant = 21. x = (-(-3) ± 21) / (2×3). Solutions: x = -3 or x = 4.\n</reasoning>\nFinal Answer: x = -3 or x = 4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:30 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/30, so B = A × (30/3) = 20 × 30/3 = 200.0.\n</reasoning>\nFinal Answer: 200.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:23 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/23, so B = A × (23/36) = 76 × 23/36 = 48.5556.\n</reasoning>\nFinal Answer: 48.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 50% of 538?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 538 = (50/100) × 538 = 269.0.\n</reasoning>\nFinal Answer: 269.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -206 + 605"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -206 and 605: -206 + 605 = 399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -12 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 1x = -4. Divide by 1: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 50) * (48 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+50)=61, (48-26)=22, then 61×22=1342.\n</reasoning>\nFinal Answer: 1342"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 11, 99, 99, 33, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 11: 1, 99: 3, 33: 1}. Most frequent: 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [41, 71, 87, 46, 9, 7, 27, 72, 37, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 7 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 5 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+5) × 28 = 350.0.\n</reasoning>\nFinal Answer: 350.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 32, 87, 90, 40, 33, 26, 100, 83, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 32: 1, 87: 1, 90: 1, 40: 1, 33: 1, 26: 1, 100: 1, 83: 1, 99: 1}. Most frequent: [7, 32, 87, 90, 40, 33, 26, 100, 83, 99].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -31 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 11x = 55. Divide by 11: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 891 + 265"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 891 and 265: 891 + 265 = 1156.\n</reasoning>\nFinal Answer: 1156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 40 * 13 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×13=520, then 33+520-8=545.\n</reasoning>\nFinal Answer: 545"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 87, 100, 62, 96, 4, 26, 7, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 87: 1, 100: 1, 62: 1, 96: 1, 4: 1, 26: 1, 7: 1, 54: 1}. Most frequent: [46, 87, 100, 62, 96, 4, 26, 7, 54].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 23 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+23) × 13 = 442.0.\n</reasoning>\nFinal Answer: 442.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:27 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/27, so B = A × (27/22) = 33 × 27/22 = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -5 = -205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 20x = -200. Divide by 20: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:23 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/23, so B = A × (23/17) = 36 × 23/17 = 48.7059.\n</reasoning>\nFinal Answer: 48.7059"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 778 × -810"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 778 by -810: 778 × -810 = -630180.\n</reasoning>\nFinal Answer: -630180"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 46 = 4048.\n</reasoning>\nFinal Answer: 4048"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -21 = 149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 5x = 170. Divide by 5: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 173 km/h. How far does it travel in 10 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 48/60 = 10.8000 hours. Distance = speed × time = 173 × 10.8000 = 1868.4 km.\n</reasoning>\nFinal Answer: 1868.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -27 = -401"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 17x = -374. Divide by 17: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -815 × -208"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -815 by -208: -815 × -208 = 169520.\n</reasoning>\nFinal Answer: 169520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 7) * (16 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+7)=36, (16-37)=-21, then 36×-21=-756.\n</reasoning>\nFinal Answer: -756"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 10, 71, 10, 36, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 10 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -35 = -77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 14x = -42. Divide by 14: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 55 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 55 × 81 = 4455.\n</reasoning>\nFinal Answer: 4455"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 - 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/14 - 19/12. LCD = 84. Result = -25/84.\n</reasoning>\nFinal Answer: -25/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -220 ÷ -613"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -220 by -613. -220 ÷ -613 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 + 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/11 + 7/16. Common denominator = 176. Result = 93/176.\n</reasoning>\nFinal Answer: 93/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 658 mod 949"
},
{
"role": "assistant",
"content": "<reasoning>\n658 mod 949: 658 = 949 × 0 + 658, so remainder = 658.\n</reasoning>\nFinal Answer: 658"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 16, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (45-1)×16 = 40 + 704 = 744.\n</reasoning>\nFinal Answer: 744"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:13 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/13, so B = A × (13/19) = 99 × 13/19 = 67.7368.\n</reasoning>\nFinal Answer: 67.7368"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 60% of 265?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 265 = (60/100) × 265 = 159.0.\n</reasoning>\nFinal Answer: 159.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 27 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 27 = 513 worker-days. New time = 513 / 10 = 51.3 days.\n</reasoning>\nFinal Answer: 51.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:1 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/1, so B = A × (1/15) = 7 × 1/15 = 0.4667.\n</reasoning>\nFinal Answer: 0.4667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×41)/1 = 1025.\n</reasoning>\nFinal Answer: 1025"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 21 = -340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 19x = -361. Divide by 19: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 34 = 1700.\n</reasoning>\nFinal Answer: 1700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 11 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 4+121-3=122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 26, 40, 54, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 14. Next term = 68 + 14 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 39 = -81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 10x = -120. Divide by 10: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 45 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 17+2025-22=2020.\n</reasoning>\nFinal Answer: 2020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -864 - 424"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 424 from -864: -864 - 424 = -1288.\n</reasoning>\nFinal Answer: -1288"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 573?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 573 = (17/100) × 573 = 97.41.\n</reasoning>\nFinal Answer: 97.41"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 5, 9, 13, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 1 and common difference 4. Next term = 17 + 4 = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 232 mod 324"
},
{
"role": "assistant",
"content": "<reasoning>\n232 mod 324: 232 = 324 × 0 + 232, so remainder = 232.\n</reasoning>\nFinal Answer: 232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 25 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 22x = 22. Divide by 22: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 + 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/14 + 14/16. Common denominator = 56. Result = 53/56.\n</reasoning>\nFinal Answer: 53/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
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