messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 27 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 50+729-6=773.\n</reasoning>\nFinal Answer: 773"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 113 apples and buys 192 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 113 + 192 = 305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 2 + 9 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×2=14 and 9×12=108, then add: 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 782 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 782 × (1 + 7/100) = 782 × 1.07 = 836.74.\n</reasoning>\nFinal Answer: 836.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 57 + -374"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 57 and -374: 57 + -374 = -317.\n</reasoning>\nFinal Answer: -317"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -911 + -239"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -911 and -239: -911 + -239 = -1150.\n</reasoning>\nFinal Answer: -1150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 8 * 38 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×38=304, then 4+304-9=299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 * 3/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/4) × (3/2) = (39/8) = 39/8 after simplification.\n</reasoning>\nFinal Answer: 39/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/3 * 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/3) × (3/20) = (36/60) = 3/5 after simplification.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 203 km apart. Their speeds are 44 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 44+85=129 km/h. Time = 203/129 = 1.5736 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 13 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+13) × 5 = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 70, 98, 63, 43, 64, 14, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 70: 1, 98: 1, 63: 1, 43: 1, 64: 1, 14: 1, 77: 1}. Most frequent: [40, 70, 98, 63, 43, 64, 14, 77].\n</reasoning>\nFinal Answer: [40, 70,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 1 = 64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 9x = 63. Divide by 9: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 20, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (48-1)×20 = 44 + 940 = 984.\n</reasoning>\nFinal Answer: 984"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:24 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/24, so B = A × (24/12) = 31 × 24/12 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 15 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 8x = 56. Divide by 8: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 47 = -277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 12x = -324. Divide by 12: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45108 at 18% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45108 × 18 × 8 / 100 = 64955.52.\n</reasoning>\nFinal Answer: 64955.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -536 ÷ 650"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -536 by 650. -536 ÷ 650 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:1 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/1, so B = A × (1/20) = 43 × 1/20 = 2.15.\n</reasoning>\nFinal Answer: 2.15"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "4 is what percentage of 11?"
},
{
"role": "assistant",
"content": "<reasoning>\n(4/11) × 100 = 36.3636%.\n</reasoning>\nFinal Answer: 36.3636%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 50 * 3 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×3=150, then 11+150-29=132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 6 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 49+36-20=65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 0 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 26x = -52. Divide by 26: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 47 * 12 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×12=564, then 13+564-48=529.\n</reasoning>\nFinal Answer: 529"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,84) = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 518 × -938"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 518 by -938: 518 × -938 = -485884.\n</reasoning>\nFinal Answer: -485884"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:9 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/9, so B = A × (9/30) = 11 × 9/30 = 3.3.\n</reasoning>\nFinal Answer: 3.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 41 + 34 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×41=1148 and 34×17=578, then add: 1726.\n</reasoning>\nFinal Answer: 1726"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 6, 62, 58, 26, 92, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 24, 26, 50, 58, 62, 92]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 15% of 590?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 590 = (15/100) × 590 = 88.5.\n</reasoning>\nFinal Answer: 88.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 - 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/14 - 6/20. LCD = 70. Result = 69/70.\n</reasoning>\nFinal Answer: 69/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 100% of 538?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 538 = (100/100) × 538 = 538.0.\n</reasoning>\nFinal Answer: 538.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 / 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/7) ÷ (3/9) = (16/7) × (9/3) = 48/7.\n</reasoning>\nFinal Answer: 48/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -10 = -218"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 13x = -208. Divide by 13: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 168 apples and buys 63 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 168 + 63 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:24 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/24, so B = A × (24/25) = 3 × 24/25 = 2.88.\n</reasoning>\nFinal Answer: 2.88"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 742 ÷ 996"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 742 by 996. 742 ÷ 996 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 / 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/19) ÷ (5/11) = (17/19) × (11/5) = 187/95.\n</reasoning>\nFinal Answer: 187/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 3, 77, 94, 11, 75, 78, 75, 59, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 3 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 17, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 17 + 32 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 843 + 619"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 843 and 619: 843 + 619 = 1462.\n</reasoning>\nFinal Answer: 1462"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 51, 9, 89, 91, 13, 50, 99, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 508/9 = 56.4444.\n</reasoning>\nFinal Answer: 56.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 15 × 517"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 15 by 517: 15 × 517 = 7755.\n</reasoning>\nFinal Answer: 7755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 / 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/7) ÷ (18/15) = (15/7) × (15/18) = 25/14.\n</reasoning>\nFinal Answer: 25/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 153 and 59."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(153,59) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 310."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 310 by smallest primes repeatedly: 310 = 2 × 5 × 31.\n</reasoning>\nFinal Answer: 2 × 5 × 31"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 12 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 44/60 = 12.7333 hours. Distance = speed × time = 151 × 12.7333 = 1922.7333 km.\n</reasoning>\nFinal Answer: 1922.7333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 39 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 40+1521-29=1532.\n</reasoning>\nFinal Answer: 1532"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 847 × 443"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 847 by 443: 847 × 443 = 375221.\n</reasoning>\nFinal Answer: 375221"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 - 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/5 - 14/13. LCD = 65. Result = -57/65.\n</reasoning>\nFinal Answer: -57/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 26 = -1114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 30x = -1140. Divide by 30: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 972 - 599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 599 from 972: 972 - 599 = 373.\n</reasoning>\nFinal Answer: 373"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -28 + -659"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -28 and -659: -28 + -659 = -687.\n</reasoning>\nFinal Answer: -687"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 2 * 7 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×7=14, then 19+14-50=-17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 155 and 152."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(155,152) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -602 + -538"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -602 and -538: -602 + -538 = -1140.\n</reasoning>\nFinal Answer: -1140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 859 + 909"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 859 and 909: 859 + 909 = 1768.\n</reasoning>\nFinal Answer: 1768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [8, 13, 14, 17] and B = [3, 5, 7, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 7, 8, 13, 14, 17, 18].\n</reasoning>\nFinal Answer: [3, 5, 7, 8, 13, 14, 17, 18]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 35 * 23 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×23=805, then 24+805-29=800.\n</reasoning>\nFinal Answer: 800"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:45 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/45, so B = A × (45/35) = 21 × 45/35 = 27.0.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 86, 10, 91, 91, 22, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 10 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "317 is what percentage of 707?"
},
{
"role": "assistant",
"content": "<reasoning>\n(317/707) × 100 = 44.8373%.\n</reasoning>\nFinal Answer: 44.8373%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -1 = -19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 18x = -18. Divide by 18: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 327 × 202"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 327 by 202: 327 × 202 = 66054.\n</reasoning>\nFinal Answer: 66054"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "47 is what percentage of 103?"
},
{
"role": "assistant",
"content": "<reasoning>\n(47/103) × 100 = 45.6311%.\n</reasoning>\nFinal Answer: 45.6311%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 731 × -781"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 731 by -781: 731 × -781 = -570911.\n</reasoning>\nFinal Answer: -570911"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 343 + 672"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 343 and 672: 343 + 672 = 1015.\n</reasoning>\nFinal Answer: 1015"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×23)/1 = 897.\n</reasoning>\nFinal Answer: 897"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 * 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/13) × (16/18) = (96/234) = 16/39 after simplification.\n</reasoning>\nFinal Answer: 16/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 184 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(184,26) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 35 * 37 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×37=1295, then 44+1295-39=1300.\n</reasoning>\nFinal Answer: 1300"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 16, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (38-1)×16 = 34 + 592 = 626.\n</reasoning>\nFinal Answer: 626"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 3 + 37 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×3=102 and 37×47=1739, then add: 1841.\n</reasoning>\nFinal Answer: 1841"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -39 = 91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 13x = 130. Divide by 13: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 9 = 549.\n</reasoning>\nFinal Answer: 549"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -20 = -608"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 12x = -588. Divide by 12: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2534. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2534 × 5/100 = 126.7. Total = 2534 + 126.7 = 2660.7.\n</reasoning>\nFinal Answer: 2660.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -50 = -530"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 24x = -480. Divide by 24: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36075 at 18% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36075 × 18 × 6 / 100 = 38961.0.\n</reasoning>\nFinal Answer: 38961.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -959 - -719"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -719 from -959: -959 - -719 = -240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 166 × 678"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 166 by 678: 166 × 678 = 112548.\n</reasoning>\nFinal Answer: 112548"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (14)x + (-60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 14² - 4×2×-60 = 676. √discriminant = 26. x = (-(14) ± 26) / (2×2). Solutions: x = -10 or x = 3.\n</reasoning>\nFinal Answer: x = -10 or x = 3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 32 = 3200.\n</reasoning>\nFinal Answer: 3200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 25% of 21?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 21 = (25/100) × 21 = 5.25.\n</reasoning>\nFinal Answer: 5.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 4 = 620"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 14x = 616. Divide by 14: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36702 at 5% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36702 × 5 × 5 / 100 = 9175.5.\n</reasoning>\nFinal Answer: 9175.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "575 is what percentage of 795?"
},
{
"role": "assistant",
"content": "<reasoning>\n(575/795) × 100 = 72.327%.\n</reasoning>\nFinal Answer: 72.327%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [4, 11, 14] and B = [3, 8, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 8, 11, 14, 15, 18].\n</reasoning>\nFinal Answer: [3, 4, 8, 11, 14, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 32 = -79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 3x = -111. Divide by 3: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 37 = 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 21x = 42. Divide by 21: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 / 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/1) ÷ (1/8) = (6/1) × (8/1) = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 138."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 138 by smallest primes repeatedly: 138 = 2 × 3 × 23.\n</reasoning>\nFinal Answer: 2 × 3 × 23"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 18 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+18) × 46 = 897.0.\n</reasoning>\nFinal Answer: 897.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -10 = -252"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 22x = -242. Divide by 22: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 17] and B = [1, 2, 3, 7, 13, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 6, 7, 8, 13, 16].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×35)/1 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 - 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/16 - 2/20. LCD = 20. Result = 13/20.\n</reasoning>\nFinal Answer: 13/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 15 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 36+225-12=249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -23 = -38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 1x = -15. Divide by 1: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
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