messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 20/19 - 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/19 - 18/3. LCD = 19. Result = -94/19.\n</reasoning>\nFinal Answer: -94/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 696 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 696 × (1 + 17/100) = 696 × 1.17 = 814.32.\n</reasoning>\nFinal Answer: 814.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:10 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/10, so B = A × (10/34) = 41 × 10/34 = 12.0588.\n</reasoning>\nFinal Answer: 12.0588"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 / 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/10) ÷ (4/17) = (16/10) × (17/4) = 34/5.\n</reasoning>\nFinal Answer: 34/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 11 + 38 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×11=319 and 38×14=532, then add: 851.\n</reasoning>\nFinal Answer: 851"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 11] and B = [5, 7, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 7, 9, 11, 16].\n</reasoning>\nFinal Answer: [1, 5, 7, 9, 11, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 47 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+47) × 37 = 1628.0.\n</reasoning>\nFinal Answer: 1628.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 621 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 621 × (1 - 100/100) = 621 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/19 + 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/19 + 2/2. Common denominator = 19. Result = 39/19.\n</reasoning>\nFinal Answer: 39/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the square root of 16."
},
{
"role": "assistant",
"content": "<reasoning>\n√16 = 4 because 4² = 16.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "What is 5% of 982?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 982 = (5/100) × 982 = 49.1.\n</reasoning>\nFinal Answer: 49.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/20 / 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/20) ÷ (15/2) = (18/20) × (2/15) = 3/25.\n</reasoning>\nFinal Answer: 3/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 8 = 120.0.\n</reasoning>\nFinal Answer: 120.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 22, 37, 86, 1, 45, 50, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 296/8 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 31, 28, 29, 50, 12, 41, 34, 9, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 31: 1, 28: 1, 29: 1, 50: 1, 12: 1, 41: 1, 34: 1, 9: 1, 74: 1}. Most frequent: [5, 31, 28, 29, 50, 12, 41, 34, 9, 74].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -809 + 800"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -809 and 800: -809 + 800 = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 + 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/15 + 2/18. Common denominator = 45. Result = 47/45.\n</reasoning>\nFinal Answer: 47/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 72, 91, 42, 70, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 363/6 = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 16, 37, 62, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 222/5 = 44.4.\n</reasoning>\nFinal Answer: 44.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 12 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 12 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -605 + -937"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -605 and -937: -605 + -937 = -1542.\n</reasoning>\nFinal Answer: -1542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -952 ÷ -117"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -952 by -117. -952 ÷ -117 = 8 (integer division).\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 83 mod 836"
},
{
"role": "assistant",
"content": "<reasoning>\n83 mod 836: 83 = 836 × 0 + 83, so remainder = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 30 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 84, 19, 81, 2, 7, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 7, 13, 19, 22, 81, 84]. Middle value(s) → median = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 9 = 149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 5x = 140. Divide by 5: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 6) * (32 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+6)=56, (32-25)=7, then 56×7=392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 79 = 2014.5.\n</reasoning>\nFinal Answer: 2014.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -619 + 875"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -619 and 875: -619 + 875 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3319. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3319 × 12/100 = 398.28. Total = 3319 + 398.28 = 3717.28.\n</reasoning>\nFinal Answer: 3717.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 39 = 599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 14x = 560. Divide by 14: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 66, 66, 8, 12, 53, 63, 63, 94, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 12, 42, 53, 63, 63, 66, 66, 71, 94]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -915 ÷ -631"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -915 by -631. -915 ÷ -631 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1555. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1555 × 28/100 = 435.4. Total = 1555 + 435.4 = 1990.4.\n</reasoning>\nFinal Answer: 1990.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [31, 16, 34, 71, 18, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {31: 1, 16: 1, 34: 1, 71: 1, 18: 1, 13: 1}. Most frequent: [31, 16, 34, 71, 18, 13].\n</reasoning>\nFinal Answer: [31, 16, 34, 71, 18, 13]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:32 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/32, so B = A × (32/27) = 85 × 32/27 = 100.7407.\n</reasoning>\nFinal Answer: 100.7407"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -799 mod -102"
},
{
"role": "assistant",
"content": "<reasoning>\n-799 mod -102: -799 = -102 × 7 + -85, so remainder = -85.\n</reasoning>\nFinal Answer: -85"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -43 = 551"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 18x = 594. Divide by 18: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 + 2/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/8 + 2/8. Common denominator = 4. Result = 3/4.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [15, 32, 49, 66, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 15 and common difference 17. Next term = 83 + 17 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 830 ÷ -440"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 830 by -440. 830 ÷ -440 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:43 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/43, so B = A × (43/32) = 93 × 43/32 = 124.9688.\n</reasoning>\nFinal Answer: 124.9688"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 261 ÷ -520"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 261 by -520. 261 ÷ -520 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -39 = -93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 27x = -54. Divide by 27: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 107 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 107 × (1 - 3/100) = 107 × 0.97 = 103.79.\n</reasoning>\nFinal Answer: 103.79"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 495 km apart. Their speeds are 53 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+49=102 km/h. Time = 495/102 = 4.8529 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 9, 10, 18] and B = [3, 6, 7, 10, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 6, 7, 9, 15, 18, 19].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 115 km/h. How far does it travel in 1 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 46/60 = 1.7667 hours. Distance = speed × time = 115 × 1.7667 = 203.1667 km.\n</reasoning>\nFinal Answer: 203.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -512 + -145"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -512 and -145: -512 + -145 = -657.\n</reasoning>\nFinal Answer: -657"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 73 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(73,43) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 37 = -299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 28x = -336. Divide by 28: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18505 at 18% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18505 × 18 × 2 / 100 = 6661.8.\n</reasoning>\nFinal Answer: 6661.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+26) = 2×114 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 51, 80, 53, 45, 81, 72, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 51: 1, 80: 1, 53: 1, 45: 1, 81: 1, 72: 1, 97: 1}. Most frequent: [21, 51, 80, 53, 45, 81, 72, 97].\n</reasoning>\nFinal Answer: [21, 51,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -58 - -502"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -502 from -58: -58 - -502 = 444.\n</reasoning>\nFinal Answer: 444"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -27 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 19x = 209. Divide by 19: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 49 = -223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 16x = -272. Divide by 16: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 29 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+29) × 30 = 810.0.\n</reasoning>\nFinal Answer: 810.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/1 + 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/1 + 13/20. Common denominator = 20. Result = 373/20.\n</reasoning>\nFinal Answer: 373/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 121 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n121 = 11 × 11, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 47 + 9 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×47=2350 and 9×39=351, then add: 2701.\n</reasoning>\nFinal Answer: 2701"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 753 km apart. Their speeds are 113 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+108=221 km/h. Time = 753/221 = 3.4072 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 / 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/7) ÷ (10/20) = (10/7) × (20/10) = 20/7.\n</reasoning>\nFinal Answer: 20/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -613 × -978"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -613 by -978: -613 × -978 = 599514.\n</reasoning>\nFinal Answer: 599514"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 320 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 320 × (1 + 17/100) = 320 × 1.17 = 374.4.\n</reasoning>\nFinal Answer: 374.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 254 - 648"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 648 from 254: 254 - 648 = -394.\n</reasoning>\nFinal Answer: -394"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 102 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 18 = -72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 6x = -90. Divide by 6: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 264 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 264 × (1 + 65/100) = 264 × 1.65 = 435.6.\n</reasoning>\nFinal Answer: 435.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 899 ÷ -272"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 899 by -272. 899 ÷ -272 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 17 = -963"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 28x = -980. Divide by 28: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:29 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/29, so B = A × (29/19) = 45 × 29/19 = 68.6842.\n</reasoning>\nFinal Answer: 68.6842"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 178 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 178 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-25)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -25² - 4×5×30 = 25. √discriminant = 5. x = (-(-25) ± 5) / (2×5). Solutions: x = 3 or x = 2.\n</reasoning>\nFinal Answer: x = 3 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 47) * (50 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+47)=88, (50-26)=24, then 88×24=2112.\n</reasoning>\nFinal Answer: 2112"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 181 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(181,174) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -388 × 360"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -388 by 360: -388 × 360 = -139680.\n</reasoning>\nFinal Answer: -139680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 28 = 560.0.\n</reasoning>\nFinal Answer: 560.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 6 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 6 = 102 worker-days. New time = 102 / 9 = 11.3333 days.\n</reasoning>\nFinal Answer: 11.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 21 = 1047"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 27x = 1026. Divide by 27: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 21 + 11 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×21=945 and 11×31=341, then add: 1286.\n</reasoning>\nFinal Answer: 1286"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 35, 37, 58, 48, 14, 33, 96, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 14 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 6 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 6/10 = 0.6.\n</reasoning>\nFinal Answer: 0.6"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 16] and B = [2, 3, 5], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 16].\n</reasoning>\nFinal Answer: [4, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -21 = 322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 7x = 343. Divide by 7: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 65, 86, 71, 48, 79, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 65: 1, 86: 1, 71: 1, 48: 1, 79: 1, 3: 1}. Most frequent: [66, 65, 86, 71, 48, 79, 3].\n</reasoning>\nFinal Answer: [66, 65, 86, 71, 48, 79, 3... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -570 - 114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 114 from -570: -570 - 114 = -684.\n</reasoning>\nFinal Answer: -684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/14 * 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/14) × (8/2) = (72/28) = 18/7 after simplification.\n</reasoning>\nFinal Answer: 18/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 72 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 72 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 32 = -128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 4x = -160. Divide by 4: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (60)x + (216) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 60² - 4×4×216 = 144. √discriminant = 12. x = (-(60) ± 12) / (2×4). Solutions: x = -9 or x = -6.\n</reasoning>\nFinal Answer: x = -9 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 9, 18] and B = [10, 12, 16, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -607 × -614"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -607 by -614: -607 × -614 = 372698.\n</reasoning>\nFinal Answer: 372698"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "331 is what percentage of 553?"
},
{
"role": "assistant",
"content": "<reasoning>\n(331/553) × 100 = 59.8553%.\n</reasoning>\nFinal Answer: 59.8553%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:3 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/3, so B = A × (3/8) = 31 × 3/8 = 11.625.\n</reasoning>\nFinal Answer: 11.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -47 = 961"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 24x = 1008. Divide by 24: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 * 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/18) × (2/15) = (34/270) = 17/135 after simplification.\n</reasoning>\nFinal Answer: 17/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 549 × -767"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 549 by -767: 549 × -767 = -421083.\n</reasoning>\nFinal Answer: -421083"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 - 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/14 - 8/1. LCD = 7. Result = -51/7.\n</reasoning>\nFinal Answer: -51/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 31, 35, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 31 + 35 + 37 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | easy | [
"geometry",
"perimeter"
] |
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