messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 18/9 / 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (10/15) = (18/9) × (15/10) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 103 apples and buys 121 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 103 + 121 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 988 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 988 × (1 + 75/100) = 988 × 1.75 = 1729.0.\n</reasoning>\nFinal Answer: 1729.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 / 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/13) ÷ (10/3) = (15/13) × (3/10) = 9/26.\n</reasoning>\nFinal Answer: 9/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "463 is what percentage of 961?"
},
{
"role": "assistant",
"content": "<reasoning>\n(463/961) × 100 = 48.179%.\n</reasoning>\nFinal Answer: 48.179%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 352 mod -84"
},
{
"role": "assistant",
"content": "<reasoning>\n352 mod -84: 352 = -84 × -5 + -68, so remainder = -68.\n</reasoning>\nFinal Answer: -68"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -41 = -146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 21x = -105. Divide by 21: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39134 at 14% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39134 × 14 × 1 / 100 = 5478.76.\n</reasoning>\nFinal Answer: 5478.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 606 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 606 × (1 + 12/100) = 606 × 1.12 = 678.72.\n</reasoning>\nFinal Answer: 678.72"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 664 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 664 × (1 - 40/100) = 664 × 0.6 = 398.4.\n</reasoning>\nFinal Answer: 398.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 499 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 499 × (1 + 35/100) = 499 × 1.35 = 673.65.\n</reasoning>\nFinal Answer: 673.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 49 + 24 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×49=2401 and 24×35=840, then add: 3241.\n</reasoning>\nFinal Answer: 3241"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 146 apples and buys 57 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 146 + 57 = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8, 15] and B = [1, 3, 10, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 8, 15].\n</reasoning>\nFinal Answer: [6, 8, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -470 mod 120"
},
{
"role": "assistant",
"content": "<reasoning>\n-470 mod 120: -470 = 120 × -4 + 10, so remainder = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -36 = 228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 24x = 264. Divide by 24: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 758 mod 827"
},
{
"role": "assistant",
"content": "<reasoning>\n758 mod 827: 758 = 827 × 0 + 758, so remainder = 758.\n</reasoning>\nFinal Answer: 758"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "123 is what percentage of 171?"
},
{
"role": "assistant",
"content": "<reasoning>\n(123/171) × 100 = 71.9298%.\n</reasoning>\nFinal Answer: 71.9298%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:8 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/8, so B = A × (8/11) = 98 × 8/11 = 71.2727.\n</reasoning>\nFinal Answer: 71.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 38 = -562"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 25x = -600. Divide by 25: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 145 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 145 × (1 + 80/100) = 145 × 1.8 = 261.0.\n</reasoning>\nFinal Answer: 261.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "19 is what percentage of 93?"
},
{
"role": "assistant",
"content": "<reasoning>\n(19/93) × 100 = 20.4301%.\n</reasoning>\nFinal Answer: 20.4301%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 23 = 598.\n</reasoning>\nFinal Answer: 598"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 27 * 1 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×1=27, then 37+27-50=14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 383 + -912"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 383 and -912: 383 + -912 = -529.\n</reasoning>\nFinal Answer: -529"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 19, 61, 60, 39, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 19 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23879 at 9% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23879 × 9 × 8 / 100 = 17192.88.\n</reasoning>\nFinal Answer: 17192.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 9, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (29-1)×9 = 17 + 252 = 269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40461 at 10% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40461 × 10 × 1 / 100 = 4046.1.\n</reasoning>\nFinal Answer: 4046.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 799 × 373"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 799 by 373: 799 × 373 = 298027.\n</reasoning>\nFinal Answer: 298027"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:37 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/37, so B = A × (37/40) = 14 × 37/40 = 12.95.\n</reasoning>\nFinal Answer: 12.95"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 / 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/14) ÷ (17/14) = (13/14) × (14/17) = 13/17.\n</reasoning>\nFinal Answer: 13/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -5 = 589"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 27x = 594. Divide by 27: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 * 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/2) × (19/16) = (38/32) = 19/16 after simplification.\n</reasoning>\nFinal Answer: 19/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 28, 35, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 28 + 35 + 37 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 5 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 5 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 69 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 69 × 37 = 1276.5.\n</reasoning>\nFinal Answer: 1276.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 59, 22, 41, 66, 89, 47, 70, 99, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 59: 1, 22: 1, 41: 1, 66: 1, 89: 1, 47: 1, 70: 1, 99: 1, 58: 1}. Most frequent: [88, 59, 22, 41, 66, 89, 47, 70, 99, 58].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "244 is what percentage of 878?"
},
{
"role": "assistant",
"content": "<reasoning>\n(244/878) × 100 = 27.7904%.\n</reasoning>\nFinal Answer: 27.7904%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 489 × 186"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 489 by 186: 489 × 186 = 90954.\n</reasoning>\nFinal Answer: 90954"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 27 = -793"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 20x = -820. Divide by 20: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 41 = 541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 20x = 500. Divide by 20: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 83 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 100% of 73?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 73 = (100/100) × 73 = 73.0.\n</reasoning>\nFinal Answer: 73.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 51, 20, 2, 22, 23, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 51 - 2 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 4 = 334"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 11x = 330. Divide by 11: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:32 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/32, so B = A × (32/11) = 39 × 32/11 = 113.4545.\n</reasoning>\nFinal Answer: 113.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -63 mod -362"
},
{
"role": "assistant",
"content": "<reasoning>\n-63 mod -362: -63 = -362 × 0 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 185 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 185 × (1 - 45/100) = 185 × 0.55 = 101.75.\n</reasoning>\nFinal Answer: 101.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 128 and 127."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(128,127) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:11 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/11, so B = A × (11/26) = 63 × 11/26 = 26.6538.\n</reasoning>\nFinal Answer: 26.6538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 18. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 18 ≈ 113.0973.\n</reasoning>\nFinal Answer: 113.0973"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Increase 685 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 685 × (1 + 100/100) = 685 × 2.0 = 1370.0.\n</reasoning>\nFinal Answer: 1370.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 21 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+21) × 16 = 272.0.\n</reasoning>\nFinal Answer: 272.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -841 + -188"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -841 and -188: -841 + -188 = -1029.\n</reasoning>\nFinal Answer: -1029"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -27 = -321"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 21x = -294. Divide by 21: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 19 * 40 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×40=760, then 50+760-15=795.\n</reasoning>\nFinal Answer: 795"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 * 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/17) × (5/4) = (50/68) = 25/34 after simplification.\n</reasoning>\nFinal Answer: 25/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 3 - -486"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -486 from 3: 3 - -486 = 489.\n</reasoning>\nFinal Answer: 489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29242 at 18% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29242 × 18 × 2 / 100 = 10527.12.\n</reasoning>\nFinal Answer: 10527.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 989 × -691"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 989 by -691: 989 × -691 = -683399.\n</reasoning>\nFinal Answer: -683399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 41 = 366"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 25x = 325. Divide by 25: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 712 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 712 × (1 + 60/100) = 712 × 1.6 = 1139.2.\n</reasoning>\nFinal Answer: 1139.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -45 mod 773"
},
{
"role": "assistant",
"content": "<reasoning>\n-45 mod 773: -45 = 773 × -1 + 728, so remainder = 728.\n</reasoning>\nFinal Answer: 728"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 16, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (10-1)×16 = 6 + 144 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -114 ÷ -12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -114 by -12. -114 ÷ -12 = 9 (integer division).\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 19 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 19 = 361 worker-days. New time = 361 / 15 = 24.0667 days.\n</reasoning>\nFinal Answer: 24.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -41 = 319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 24x = 360. Divide by 24: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 574 - -89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -89 from 574: 574 - -89 = 663.\n</reasoning>\nFinal Answer: 663"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 3 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 4/7 = 0.5714.\n</reasoning>\nFinal Answer: 0.5714"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 9, 15, 19] and B = [1, 4, 8, 11, 12, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 8, 9, 11, 12, 14, 15, 19].\n</reasoning>\nFinal Answer: [1, 4, 8, 9, 11, 12... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:5 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/5, so B = A × (5/9) = 86 × 5/9 = 47.7778.\n</reasoning>\nFinal Answer: 47.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 6 + 47 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×6=186 and 47×14=658, then add: 844.\n</reasoning>\nFinal Answer: 844"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 78, 91, 39, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 39, 47, 78, 91]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 18, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (50-1)×18 = 43 + 882 = 925.\n</reasoning>\nFinal Answer: 925"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+90) = 2×134 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 25 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 25 = 400 worker-days. New time = 400 / 3 = 133.3333 days.\n</reasoning>\nFinal Answer: 133.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -505 × -324"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -505 by -324: -505 × -324 = 163620.\n</reasoning>\nFinal Answer: 163620"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 40 = -1024"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 28x = -1064. Divide by 28: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 28) * (36 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+28)=46, (36-33)=3, then 46×3=138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 20 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 24x = -240. Divide by 24: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 185 apples and buys 17 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 185 + 17 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 16 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 16 = 208 worker-days. New time = 208 / 11 = 18.9091 days.\n</reasoning>\nFinal Answer: 18.9091"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:9 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/9, so B = A × (9/2) = 7 × 9/2 = 31.5.\n</reasoning>\nFinal Answer: 31.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -844 mod 122"
},
{
"role": "assistant",
"content": "<reasoning>\n-844 mod 122: -844 = 122 × -7 + 10, so remainder = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -714 - 749"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 749 from -714: -714 - 749 = -1463.\n</reasoning>\nFinal Answer: -1463"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4670. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4670 × 12/100 = 560.4. Total = 4670 + 560.4 = 5230.4.\n</reasoning>\nFinal Answer: 5230.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 24) * (34 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+24)=39, (34-16)=18, then 39×18=702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 65% of 849?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 849 = (65/100) × 849 = 551.85.\n</reasoning>\nFinal Answer: 551.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -26 = 1346"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 28x = 1372. Divide by 28: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 225 ÷ -740"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 225 by -740. 225 ÷ -740 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:11 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/11, so B = A × (11/33) = 19 × 11/33 = 6.3333.\n</reasoning>\nFinal Answer: 6.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 41, 47, 91, 76, 9, 26, 12, 15, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 12, 15, 19, 26, 41, 47, 76, 82, 91]. Middle value(s) → median = 33.5.\n</reasoning>\nFinal Answer: 33.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 8, 8, 15, 78, 11, 79, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 8: 2, 15: 1, 78: 1, 11: 1, 79: 1, 70: 1}. Most frequent: 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 482 mod 563"
},
{
"role": "assistant",
"content": "<reasoning>\n482 mod 563: 482 = 563 × 0 + 482, so remainder = 482.\n</reasoning>\nFinal Answer: 482"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -212 + -805"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -212 and -805: -212 + -805 = -1017.\n</reasoning>\nFinal Answer: -1017"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 792 × -83"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 792 by -83: 792 × -83 = -65736.\n</reasoning>\nFinal Answer: -65736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 706 - 275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 275 from 706: 706 - 275 = 431.\n</reasoning>\nFinal Answer: 431"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 41, 58, 75, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 17. Next term = 92 + 17 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 7% of 894?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 894 = (7/100) × 894 = 62.58.\n</reasoning>\nFinal Answer: 62.58"
}
] | easy | [
"percentage",
"arithmetic"
] |
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