messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -880 × -338"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -880 by -338: -880 × -338 = 297440.\n</reasoning>\nFinal Answer: 297440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 157 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(157,18) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 24) * (25 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+24)=59, (25-10)=15, then 59×15=885.\n</reasoning>\nFinal Answer: 885"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 7 + 49 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×7=105 and 49×37=1813, then add: 1918.\n</reasoning>\nFinal Answer: 1918"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:28 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/28, so B = A × (28/5) = 13 × 28/5 = 72.8.\n</reasoning>\nFinal Answer: 72.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:28 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/28, so B = A × (28/42) = 93 × 28/42 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×9)/1 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:29 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/29, so B = A × (29/10) = 92 × 29/10 = 266.8.\n</reasoning>\nFinal Answer: 266.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 - 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/13 - 12/9. LCD = 39. Result = -10/39.\n</reasoning>\nFinal Answer: -10/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -1000 ÷ -211"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -1000 by -211. -1000 ÷ -211 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 6 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 6 = 114 worker-days. New time = 114 / 18 = 6.3333 days.\n</reasoning>\nFinal Answer: 6.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 192 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(192,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 54, 61, 98, 59, 4, 63, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 4 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 87 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 87 × (1 + 80/100) = 87 × 1.8 = 156.6.\n</reasoning>\nFinal Answer: 156.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 6, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (24-1)×6 = 2 + 138 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -3 = 525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 24x = 528. Divide by 24: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 8 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 8 = 32 worker-days. New time = 32 / 15 = 2.1333 days.\n</reasoning>\nFinal Answer: 2.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -883 ÷ 177"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -883 by 177. -883 ÷ 177 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×17)/1 = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 40% of 796?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 796 = (40/100) × 796 = 318.4.\n</reasoning>\nFinal Answer: 318.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 23 = 695"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 14x = 672. Divide by 14: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "30 is what percentage of 34?"
},
{
"role": "assistant",
"content": "<reasoning>\n(30/34) × 100 = 88.2353%.\n</reasoning>\nFinal Answer: 88.2353%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 54, 84, 31, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 232/5 = 46.4.\n</reasoning>\nFinal Answer: 46.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 16, 10, 9, 98, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 10, 16, 39, 59, 98]. Middle value(s) → median = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 23 = -211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 6x = -234. Divide by 6: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 7 = -448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 13x = -455. Divide by 13: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 49, 87, 8, 52, 82, 85, 97, 82, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 8 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 40 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 17+1600-26=1591.\n</reasoning>\nFinal Answer: 1591"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 50 = 148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 2x = 98. Divide by 2: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 13 = 279.5.\n</reasoning>\nFinal Answer: 279.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 10, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (45-1)×10 = 22 + 440 = 462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 28, 21, 39, 81, 72, 8, 38, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 384/9 = 42.6667.\n</reasoning>\nFinal Answer: 42.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 8 = -17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 25x = -25. Divide by 25: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 27 = 468"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 9x = 441. Divide by 9: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -710 + -880"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -710 and -880: -710 + -880 = -1590.\n</reasoning>\nFinal Answer: -1590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 561 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 561 × (1 + 17/100) = 561 × 1.17 = 656.37.\n</reasoning>\nFinal Answer: 656.37"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 15 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (15×43)/1 = 645.\n</reasoning>\nFinal Answer: 645"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:29 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/29, so B = A × (29/43) = 28 × 29/43 = 18.8837.\n</reasoning>\nFinal Answer: 18.8837"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 122 + 180"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 122 and 180: 122 + 180 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3398. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3398 × 12/100 = 407.76. Total = 3398 + 407.76 = 3805.76.\n</reasoning>\nFinal Answer: 3805.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 14, 16] and B = [7, 8, 9, 12, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 15, 66, 2, 96, 95, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 15: 1, 66: 1, 2: 1, 96: 1, 95: 1, 50: 1}. Most frequent: [94, 15, 66, 2, 96, 95, 50].\n</reasoning>\nFinal Answer: [94, 15, 66, 2, 96, 95, 50... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+39) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 451 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 451 × (1 - 45/100) = 451 × 0.55 = 248.05.\n</reasoning>\nFinal Answer: 248.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -948 + -855"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -948 and -855: -948 + -855 = -1803.\n</reasoning>\nFinal Answer: -1803"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 6, 70, 70, 8, 14, 8, 46, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 8, 8, 14, 46, 50, 51, 70, 70]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29527 at 9% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29527 × 9 × 8 / 100 = 21259.44.\n</reasoning>\nFinal Answer: 21259.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹503. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 503 × 5/100 = 25.15. Total = 503 + 25.15 = 528.15.\n</reasoning>\nFinal Answer: 528.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 73 = 5694.\n</reasoning>\nFinal Answer: 5694"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 762 ÷ -42"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 762 by -42. 762 ÷ -42 = -19 (integer division).\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 79 and 146."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(79,146) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 / 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/11) ÷ (16/18) = (18/11) × (18/16) = 81/44.\n</reasoning>\nFinal Answer: 81/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 8 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 8 × 99 = 396.0.\n</reasoning>\nFinal Answer: 396.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 15 = 90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 3x = 75. Divide by 3: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 28 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 28 = 280 worker-days. New time = 280 / 14 = 20.0 days.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4387. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4387 × 12/100 = 526.44. Total = 4387 + 526.44 = 4913.44.\n</reasoning>\nFinal Answer: 4913.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/18 * 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/18) × (15/6) = (210/108) = 35/18 after simplification.\n</reasoning>\nFinal Answer: 35/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 815 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 815 × (1 - 12/100) = 815 × 0.88 = 717.2.\n</reasoning>\nFinal Answer: 717.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 755 + 486"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 755 and 486: 755 + 486 = 1241.\n</reasoning>\nFinal Answer: 1241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -340 + -264"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -340 and -264: -340 + -264 = -604.\n</reasoning>\nFinal Answer: -604"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 6 + 16 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×6=222 and 16×15=240, then add: 462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 * 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/2) × (14/3) = (112/6) = 56/3 after simplification.\n</reasoning>\nFinal Answer: 56/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 72, 11, 35, 7, 53, 31, 87, 30, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 449/10 = 44.9.\n</reasoning>\nFinal Answer: 44.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 12 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+12) × 26 = 221.0.\n</reasoning>\nFinal Answer: 221.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:31 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/31, so B = A × (31/45) = 81 × 31/45 = 55.8.\n</reasoning>\nFinal Answer: 55.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 2 and 73."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(2,73) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -19 = 432"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 11x = 451. Divide by 11: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -81 × -411"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -81 by -411: -81 × -411 = 33291.\n</reasoning>\nFinal Answer: 33291"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 48 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(48+43) = 2×91 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 900 mod 859"
},
{
"role": "assistant",
"content": "<reasoning>\n900 mod 859: 900 = 859 × 1 + 41, so remainder = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 26 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 26 × 74 = 1924.\n</reasoning>\nFinal Answer: 1924"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 171 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 171 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 + 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/10 + 8/20. Common denominator = 10. Result = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 95 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(95,47) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 66, 40, 59, 20, 17, 74, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 17 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 10, 11, 16, 17, 18] and B = [1, 8, 11, 12, 13, 14, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 8, 10, 11, 12, 13, 14, 16, 17, 18].\n</reasoning>\nFinal An... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 355 ÷ 827"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 355 by 827. 355 ÷ 827 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:44 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/44, so B = A × (44/36) = 19 × 44/36 = 23.2222.\n</reasoning>\nFinal Answer: 23.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -227 ÷ -687"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -227 by -687. -227 ÷ -687 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 - 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/11 - 10/14. LCD = 77. Result = 57/77.\n</reasoning>\nFinal Answer: 57/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 * 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/15) × (19/9) = (209/135) = 209/135 after simplification.\n</reasoning>\nFinal Answer: 209/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/19 - 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/19 - 10/15. LCD = 57. Result = -14/57.\n</reasoning>\nFinal Answer: -14/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 38) * (21 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+38)=39, (21-34)=-13, then 39×-13=-507.\n</reasoning>\nFinal Answer: -507"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "List all positive factors of 43."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 43: factors are [1, 43].\n</reasoning>\nFinal Answer: [1, 43]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 823 km apart. Their speeds are 101 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+58=159 km/h. Time = 823/159 = 5.1761 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 78, 37, 70, 40, 41, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 2 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "247 is what percentage of 755?"
},
{
"role": "assistant",
"content": "<reasoning>\n(247/755) × 100 = 32.7152%.\n</reasoning>\nFinal Answer: 32.7152%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 67, 93, 68, 42, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [42, 67, 68, 68, 93, 98]. Middle value(s) → median = 68.0.\n</reasoning>\nFinal Answer: 68.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 827 ÷ 582"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 827 by 582. 827 ÷ 582 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 15, 17, 18] and B = [1, 4, 5, 8, 9, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 5, 6, 7, 8, 9, 17].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 * 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/18) × (15/1) = (195/18) = 65/6 after simplification.\n</reasoning>\nFinal Answer: 65/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:50 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/50, so B = A × (50/22) = 65 × 50/22 = 147.7273.\n</reasoning>\nFinal Answer: 147.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 27, 47, 61, 36, 3, 4, 71, 41, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 3 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -37 = -635"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 13x = -598. Divide by 13: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -33 = 219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 18x = 252. Divide by 18: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:28 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/28, so B = A × (28/49) = 78 × 28/49 = 44.5714.\n</reasoning>\nFinal Answer: 44.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -459 ÷ -533"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -459 by -533. -459 ÷ -533 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46328 at 10% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46328 × 10 × 3 / 100 = 13898.4.\n</reasoning>\nFinal Answer: 13898.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:46 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/46, so B = A × (46/6) = 95 × 46/6 = 728.3333.\n</reasoning>\nFinal Answer: 728.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 * 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/4) × (2/19) = (2/76) = 1/38 after simplification.\n</reasoning>\nFinal Answer: 1/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
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