messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 474 + 152"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 474 and 152: 474 + 152 = 626.\n</reasoning>\nFinal Answer: 626"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 13, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (50-1)×13 = 27 + 637 = 664.\n</reasoning>\nFinal Answer: 664"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -1 = 107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 6x = 108. Divide by 6: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -281 ÷ -451"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -281 by -451. -281 ÷ -451 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 29 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 2x = -74. Divide by 2: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 74, 67, 72, 91, 29, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 29, 51, 67, 72, 74, 91]. Middle value(s) → median = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 11) * (2 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+11)=55, (2-23)=-21, then 55×-21=-1155.\n</reasoning>\nFinal Answer: -1155"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -38 = -71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 3x = -33. Divide by 3: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 683 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 683 × (1 + 50/100) = 683 × 1.5 = 1024.5.\n</reasoning>\nFinal Answer: 1024.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 12, 14, 19] and B = [1, 9, 11, 14, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 19].\n</reasoning>\nFinal Answer: [12, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 139 apples and buys 76 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 139 + 76 = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 183 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n183 = 3 × 61, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 39 = -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 22x = -330. Divide by 22: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:39 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/39, so B = A × (39/20) = 58 × 39/20 = 113.1.\n</reasoning>\nFinal Answer: 113.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 - 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/20 - 16/18. LCD = 90. Result = -53/90.\n</reasoning>\nFinal Answer: -53/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -4 = -1003"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 27x = -999. Divide by 27: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 63 km/h. How far does it travel in 3 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 43/60 = 3.7167 hours. Distance = speed × time = 63 × 3.7167 = 234.15 km.\n</reasoning>\nFinal Answer: 234.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -5 = -5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 29x = 0. Divide by 29: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 25) * (45 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+25)=49, (45-47)=-2, then 49×-2=-98.\n</reasoning>\nFinal Answer: -98"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×30)/30 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 21 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 21 = 63 worker-days. New time = 63 / 11 = 5.7273 days.\n</reasoning>\nFinal Answer: 5.7273"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -291 mod -804"
},
{
"role": "assistant",
"content": "<reasoning>\n-291 mod -804: -291 = -804 × 0 + -291, so remainder = -291.\n</reasoning>\nFinal Answer: -291"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 191 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(191,27) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 11 + 47 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×11=319 and 47×21=987, then add: 1306.\n</reasoning>\nFinal Answer: 1306"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 48 = -249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 9x = -297. Divide by 9: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 + 3/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/14 + 3/17. Common denominator = 119. Result = 55/119.\n</reasoning>\nFinal Answer: 55/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 44 = 3036.\n</reasoning>\nFinal Answer: 3036"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-16)x + (-18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×2×-18 = 400. √discriminant = 20. x = (-(-16) ± 20) / (2×2). Solutions: x = 9 or x = -1.\n</reasoning>\nFinal Answer: x = 9 or x = -1"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 44 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 44 × 77 = 1694.0.\n</reasoning>\nFinal Answer: 1694.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 - 6/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/12 - 6/13. LCD = 39. Result = 47/39.\n</reasoning>\nFinal Answer: 47/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 24, 18, 24, 92, 75, 15, 4, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 15, 18, 24, 24, 31, 75, 83, 92]. Middle value(s) → median = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 87, 46, 16, 48, 74, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 16 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×38)/2 = 494.\n</reasoning>\nFinal Answer: 494"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 3) * (35 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+3)=25, (35-29)=6, then 25×6=150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 11 = 1077"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 26x = 1066. Divide by 26: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 12/5. Common denominator = 20. Result = 113/20.\n</reasoning>\nFinal Answer: 113/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 1, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (48-1)×1 = 11 + 47 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 15] and B = [2, 9, 11, 16, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 10, 15].\n</reasoning>\nFinal Answer: [7, 10, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -14 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 1x = 42. Divide by 1: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49981 at 8% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49981 × 8 × 10 / 100 = 39984.8.\n</reasoning>\nFinal Answer: 39984.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 11, 14, 19] and B = [2, 3, 8], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 6, 8, 11, 14, 19].\n</reasoning>\nFinal Answer: [2, 3, 6, 8, 11, 14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -156 - 203"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 203 from -156: -156 - 203 = -359.\n</reasoning>\nFinal Answer: -359"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 9 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+9) × 2 = 21.0.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 431 ÷ 212"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 431 by 212. 431 ÷ 212 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 967 km apart. Their speeds are 117 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 117+87=204 km/h. Time = 967/204 = 4.7402 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 43, 7, 77, 30, 34, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 341/7 = 48.7143.\n</reasoning>\nFinal Answer: 48.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:46 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/46, so B = A × (46/34) = 100 × 46/34 = 135.2941.\n</reasoning>\nFinal Answer: 135.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 * 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/8) × (1/2) = (16/16) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -547 ÷ 395"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -547 by 395. -547 ÷ 395 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 + 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/5 + 10/18. Common denominator = 45. Result = 43/45.\n</reasoning>\nFinal Answer: 43/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 68 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 68 × (1 - 12/100) = 68 × 0.88 = 59.84.\n</reasoning>\nFinal Answer: 59.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 28 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 28 × 49 = 1372.\n</reasoning>\nFinal Answer: 1372"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 12 = -153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 15x = -165. Divide by 15: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:24 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/24, so B = A × (24/33) = 77 × 24/33 = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "533 is what percentage of 596?"
},
{
"role": "assistant",
"content": "<reasoning>\n(533/596) × 100 = 89.4295%.\n</reasoning>\nFinal Answer: 89.4295%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -897 ÷ -84"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -897 by -84. -897 ÷ -84 = 10 (integer division).\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 - 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/18 - 14/1. LCD = 18. Result = -233/18.\n</reasoning>\nFinal Answer: -233/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 23 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 23 × 83 = 1909.\n</reasoning>\nFinal Answer: 1909"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 433 km apart. Their speeds are 62 km/h and 106 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+106=168 km/h. Time = 433/168 = 2.5774 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -30 = -414"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 12x = -384. Divide by 12: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 12 ÷ 190"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 12 by 190. 12 ÷ 190 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -1 ÷ -458"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -1 by -458. -1 ÷ -458 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -37 = -271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 6x = -234. Divide by 6: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 68 km/h. How far does it travel in 3 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 58/60 = 3.9667 hours. Distance = speed × time = 68 × 3.9667 = 269.7333 km.\n</reasoning>\nFinal Answer: 269.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 52 = 4264.\n</reasoning>\nFinal Answer: 4264"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 19 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+19) × 30 = 300.0.\n</reasoning>\nFinal Answer: 300.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 45 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 13x = -169. Divide by 13: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -49 = -749"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 14x = -700. Divide by 14: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 25) * (20 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+25)=35, (20-7)=13, then 35×13=455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -26 = 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 20x = 60. Divide by 20: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 30, 66, 67, 65, 31, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [30, 31, 45, 63, 65, 66, 67]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 524 mod 161"
},
{
"role": "assistant",
"content": "<reasoning>\n524 mod 161: 524 = 161 × 3 + 41, so remainder = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "319 is what percentage of 410?"
},
{
"role": "assistant",
"content": "<reasoning>\n(319/410) × 100 = 77.8049%.\n</reasoning>\nFinal Answer: 77.8049%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -362 - 661"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 661 from -362: -362 - 661 = -1023.\n</reasoning>\nFinal Answer: -1023"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -766 ÷ -42"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -766 by -42. -766 ÷ -42 = 18 (integer division).\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 862 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 862 × (1 + 35/100) = 862 × 1.35 = 1163.7.\n</reasoning>\nFinal Answer: 1163.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 9 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+9) × 2 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11595 at 20% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11595 × 20 × 9 / 100 = 20871.0.\n</reasoning>\nFinal Answer: 20871.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -951 ÷ -390"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -951 by -390. -951 ÷ -390 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -36 = -211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 25x = -175. Divide by 25: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 221 - 592"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 592 from 221: 221 - 592 = -371.\n</reasoning>\nFinal Answer: -371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 22 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 48+484-14=518.\n</reasoning>\nFinal Answer: 518"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 95 = 3515.0.\n</reasoning>\nFinal Answer: 3515.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 * 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/9) × (17/8) = (136/72) = 17/9 after simplification.\n</reasoning>\nFinal Answer: 17/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 733 × -93"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 733 by -93: 733 × -93 = -68169.\n</reasoning>\nFinal Answer: -68169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 17 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 17 = 170 worker-days. New time = 170 / 9 = 18.8889 days.\n</reasoning>\nFinal Answer: 18.8889"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:43 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/43, so B = A × (43/43) = 66 × 43/43 = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2175. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2175 × 18/100 = 391.5. Total = 2175 + 391.5 = 2566.5.\n</reasoning>\nFinal Answer: 2566.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 / 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/8) ÷ (5/4) = (3/8) × (4/5) = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 * 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/5) × (13/18) = (182/90) = 91/45 after simplification.\n</reasoning>\nFinal Answer: 91/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 50 = -355"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 9x = -405. Divide by 9: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -174 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from -174: -174 - 27 = -201.\n</reasoning>\nFinal Answer: -201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 2 + 49 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×2=14 and 49×46=2254, then add: 2268.\n</reasoning>\nFinal Answer: 2268"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -696 - -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -104 from -696: -696 - -104 = -592.\n</reasoning>\nFinal Answer: -592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 20 * 3 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×3=60, then 41+60-25=76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 2/19. Common denominator = 19. Result = 287/19.\n</reasoning>\nFinal Answer: 287/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30117 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30117 × 4 × 4 / 100 = 4818.72.\n</reasoning>\nFinal Answer: 4818.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -338 + 161"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -338 and 161: -338 + 161 = -177.\n</reasoning>\nFinal Answer: -177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:21 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/21, so B = A × (21/29) = 36 × 21/29 = 26.069.\n</reasoning>\nFinal Answer: 26.069"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 13, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (47-1)×13 = 28 + 598 = 626.\n</reasoning>\nFinal Answer: 626"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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