messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 17x + 3 = 564"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 17x = 561. Divide by 17: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [7, 31, 74, 57, 4, 7, 86, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 311/8 = 38.875.\n</reasoning>\nFinal Answer: 38.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 109 apples and buys 114 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 109 + 114 = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "72 is what percentage of 451?"
},
{
"role": "assistant",
"content": "<reasoning>\n(72/451) × 100 = 15.9645%.\n</reasoning>\nFinal Answer: 15.9645%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 41 * 26 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×26=1066, then 19+1066-24=1061.\n</reasoning>\nFinal Answer: 1061"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 / 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/6) ÷ (9/17) = (6/6) × (17/9) = 17/9.\n</reasoning>\nFinal Answer: 17/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "26 is what percentage of 138?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/138) × 100 = 18.8406%.\n</reasoning>\nFinal Answer: 18.8406%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 16, 69, 75, 27, 73, 52, 34, 52, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 27, 34, 52, 52, 57, 66, 69, 73, 75]. Middle value(s) → median = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 17 + 27 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×17=629 and 27×6=162, then add: 791.\n</reasoning>\nFinal Answer: 791"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 716 km apart. Their speeds are 108 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+58=166 km/h. Time = 716/166 = 4.3133 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 98 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 98 × (1 - 17/100) = 98 × 0.83 = 81.34.\n</reasoning>\nFinal Answer: 81.34"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 9, 10, 13, 17, 18, 19] and B = [3, 5, 6, 8, 9, 10, 11], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 6, 8, 9, 10, 11, 13, 17, 18, 19].\n</reasoning>\nFinal Answer: [3... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 803 mod -406"
},
{
"role": "assistant",
"content": "<reasoning>\n803 mod -406: 803 = -406 × -2 + -9, so remainder = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 10, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (17-1)×10 = 3 + 160 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 46) * (25 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+46)=56, (25-1)=24, then 56×24=1344.\n</reasoning>\nFinal Answer: 1344"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 18, 53, 1, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 97/5 = 19.4.\n</reasoning>\nFinal Answer: 19.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 38, 97, 31, 50, 51, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 31, 38, 50, 51, 90, 97]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:37 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/37, so B = A × (37/40) = 21 × 37/40 = 19.425.\n</reasoning>\nFinal Answer: 19.425"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -434 + 982"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -434 and 982: -434 + 982 = 548.\n</reasoning>\nFinal Answer: 548"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 9, 7, 68, 54, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 288/6 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -33 = -93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 12x = -60. Divide by 12: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 41 * 14 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×14=574, then 43+574-44=573.\n</reasoning>\nFinal Answer: 573"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4815. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4815 × 5/100 = 240.75. Total = 4815 + 240.75 = 5055.75.\n</reasoning>\nFinal Answer: 5055.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 798 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 798 × (1 + 60/100) = 798 × 1.6 = 1276.8.\n</reasoning>\nFinal Answer: 1276.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 37 = 443"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 14x = 406. Divide by 14: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 4 + 24 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×4=76 and 24×19=456, then add: 532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 28 + 43 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×28=840 and 43×42=1806, then add: 2646.\n</reasoning>\nFinal Answer: 2646"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -649 × -595"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -649 by -595: -649 × -595 = 386155.\n</reasoning>\nFinal Answer: 386155"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 291 - -887"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -887 from 291: 291 - -887 = 1178.\n</reasoning>\nFinal Answer: 1178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 46 = -731"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 21x = -777. Divide by 21: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [93, 22, 77, 77, 84, 39, 50, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 517/8 = 64.625.\n</reasoning>\nFinal Answer: 64.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 35 = -397"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 18x = -432. Divide by 18: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 147 + 397"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 147 and 397: 147 + 397 = 544.\n</reasoning>\nFinal Answer: 544"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 83, 42, 60, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 343/5 = 68.6.\n</reasoning>\nFinal Answer: 68.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -707 - -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -235 from -707: -707 - -235 = -472.\n</reasoning>\nFinal Answer: -472"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:21 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/21, so B = A × (21/3) = 11 × 21/3 = 77.0.\n</reasoning>\nFinal Answer: 77.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 198 apples and buys 46 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 198 + 46 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3191. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3191 × 12/100 = 382.92. Total = 3191 + 382.92 = 3573.92.\n</reasoning>\nFinal Answer: 3573.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -171 + -770"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -171 and -770: -171 + -770 = -941.\n</reasoning>\nFinal Answer: -941"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 * 5/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/15) × (5/16) = (50/240) = 5/24 after simplification.\n</reasoning>\nFinal Answer: 5/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "List all positive factors of 44."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 44: factors are [1, 2, 4, 11, 22, 44].\n</reasoning>\nFinal Answer: [1, 2, 4, 11, 22, 44]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+84) = 2×151 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10948 at 20% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10948 × 20 × 2 / 100 = 4379.2.\n</reasoning>\nFinal Answer: 4379.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -266 + -874"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -266 and -874: -266 + -874 = -1140.\n</reasoning>\nFinal Answer: -1140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 96 apples and buys 184 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 96 + 184 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 14, 10, 18, 90, 41, 96, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 14: 1, 10: 1, 18: 1, 90: 1, 41: 1, 96: 1, 28: 1}. Most frequent: [71, 14, 10, 18, 90, 41, 96, 28].\n</reasoning>\nFinal Answer: [71, 14,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 26 + 23 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×26=78 and 23×50=1150, then add: 1228.\n</reasoning>\nFinal Answer: 1228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 116 + 977"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 116 and 977: 116 + 977 = 1093.\n</reasoning>\nFinal Answer: 1093"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 30, 72, 69, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 30, 69, 72, 87]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 11, 12, 16, 19] and B = [1, 3, 4, 9, 12, 14, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 9, 11, 12, 14, 16, 18, 19].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹3908. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3908 × 28/100 = 1094.24. Total = 3908 + 1094.24 = 5002.24.\n</reasoning>\nFinal Answer: 5002.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 59 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(59,26) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 76, 91, 50, 91, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 395/6 = 65.8333.\n</reasoning>\nFinal Answer: 65.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "195 is what percentage of 489?"
},
{
"role": "assistant",
"content": "<reasoning>\n(195/489) × 100 = 39.8773%.\n</reasoning>\nFinal Answer: 39.8773%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 410 - 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 120 from 410: 410 - 120 = 290.\n</reasoning>\nFinal Answer: 290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:1 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/1, so B = A × (1/7) = 9 × 1/7 = 1.2857.\n</reasoning>\nFinal Answer: 1.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 + 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/1 + 16/6. Common denominator = 3. Result = 50/3.\n</reasoning>\nFinal Answer: 50/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 860 km apart. Their speeds are 92 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+97=189 km/h. Time = 860/189 = 4.5503 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 93 - 238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 238 from 93: 93 - 238 = -145.\n</reasoning>\nFinal Answer: -145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10585 at 8% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10585 × 8 × 9 / 100 = 7621.2.\n</reasoning>\nFinal Answer: 7621.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 850 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 850 × (1 - 75/100) = 850 × 0.25 = 212.5.\n</reasoning>\nFinal Answer: 212.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 33 * 19 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×19=627, then 23+627-5=645.\n</reasoning>\nFinal Answer: 645"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×16)/2 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -4 - 729"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 729 from -4: -4 - 729 = -733.\n</reasoning>\nFinal Answer: -733"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 67 = 1239.5.\n</reasoning>\nFinal Answer: 1239.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 5 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 5 = 80 worker-days. New time = 80 / 14 = 5.7143 days.\n</reasoning>\nFinal Answer: 5.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 744 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 744 × (1 + 100/100) = 744 × 2.0 = 1488.0.\n</reasoning>\nFinal Answer: 1488.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 169."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 169 by smallest primes repeatedly: 169 = 13 × 13.\n</reasoning>\nFinal Answer: 13 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 + 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/7 + 1/3. Common denominator = 21. Result = 43/21.\n</reasoning>\nFinal Answer: 43/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -955 + -940"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -955 and -940: -955 + -940 = -1895.\n</reasoning>\nFinal Answer: -1895"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 43 and 190."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(43,190) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:13 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/13, so B = A × (13/17) = 72 × 13/17 = 55.0588.\n</reasoning>\nFinal Answer: 55.0588"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 774 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 774 × (1 + 7/100) = 774 × 1.07 = 828.18.\n</reasoning>\nFinal Answer: 828.18"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -29 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 10x = -20. Divide by 10: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 * 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/2) × (3/8) = (33/16) = 33/16 after simplification.\n</reasoning>\nFinal Answer: 33/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 9, 11, 16, 17, 18] and B = [5, 10, 11, 14, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 11, 18].\n</reasoning>\nFinal Answer: [5, 11, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 * 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/8) × (12/7) = (96/56) = 12/7 after simplification.\n</reasoning>\nFinal Answer: 12/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 49, 56, 63, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 7. Next term = 70 + 7 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 40 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+40) × 22 = 594.0.\n</reasoning>\nFinal Answer: 594.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 38, 56, 74, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 18. Next term = 92 + 18 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 18, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (45-1)×18 = 6 + 792 = 798.\n</reasoning>\nFinal Answer: 798"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -44 = -168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 4x = -124. Divide by 4: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:25 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/25, so B = A × (25/21) = 47 × 25/21 = 55.9524.\n</reasoning>\nFinal Answer: 55.9524"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹4629. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4629 × 18/100 = 833.22. Total = 4629 + 833.22 = 5462.22.\n</reasoning>\nFinal Answer: 5462.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 1 = -431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 24x = -432. Divide by 24: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -782 - 651"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 651 from -782: -782 - 651 = -1433.\n</reasoning>\nFinal Answer: -1433"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 31, 15, 52, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 15 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 961 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 961 × (1 + 75/100) = 961 × 1.75 = 1681.75.\n</reasoning>\nFinal Answer: 1681.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "83 is what percentage of 142?"
},
{
"role": "assistant",
"content": "<reasoning>\n(83/142) × 100 = 58.4507%.\n</reasoning>\nFinal Answer: 58.4507%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33516 at 13% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33516 × 13 × 9 / 100 = 39213.72.\n</reasoning>\nFinal Answer: 39213.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 1 = 67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 11x = 66. Divide by 11: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 12) * (50 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+12)=49, (50-48)=2, then 49×2=98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4302. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4302 × 5/100 = 215.1. Total = 4302 + 215.1 = 4517.1.\n</reasoning>\nFinal Answer: 4517.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 * 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/6) × (16/13) = (272/78) = 136/39 after simplification.\n</reasoning>\nFinal Answer: 136/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹231. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 231 × 12/100 = 27.72. Total = 231 + 27.72 = 258.72.\n</reasoning>\nFinal Answer: 258.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 39 + 27 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×39=741 and 27×22=594, then add: 1335.\n</reasoning>\nFinal Answer: 1335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 52 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(52,84) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 877 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 877 × (1 + 10/100) = 877 × 1.1 = 964.7.\n</reasoning>\nFinal Answer: 964.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1702. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1702 × 5/100 = 85.1. Total = 1702 + 85.1 = 1787.1.\n</reasoning>\nFinal Answer: 1787.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 12% of 717?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 717 = (12/100) × 717 = 86.04.\n</reasoning>\nFinal Answer: 86.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
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