messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 90 = 4590.\n</reasoning>\nFinal Answer: 4590"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 12, 18] and B = [1, 4, 6, 7, 14, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 12, 18].\n</reasoning>\nFinal Answer: [2, 12, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 / 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/10) ÷ (16/1) = (4/10) × (1/16) = 1/40.\n</reasoning>\nFinal Answer: 1/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 + 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/15 + 2/13. Common denominator = 65. Result = 62/65.\n</reasoning>\nFinal Answer: 62/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 93 = 1302.0.\n</reasoning>\nFinal Answer: 1302.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 731 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 731 × (1 - 60/100) = 731 × 0.4 = 292.4.\n</reasoning>\nFinal Answer: 292.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 11, 17] and B = [3, 5, 8, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 8, 11, 15, 17].\n</reasoning>\nFinal Answer: [3, 8, 11, 15, 17]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 352 mod -714"
},
{
"role": "assistant",
"content": "<reasoning>\n352 mod -714: 352 = -714 × -1 + -362, so remainder = -362.\n</reasoning>\nFinal Answer: -362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -15 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 2x = -24. Divide by 2: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 985 - -935"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -935 from 985: 985 - -935 = 1920.\n</reasoning>\nFinal Answer: 1920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 11, 13] and B = [3, 9, 13, 14, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 8, 9, 11, 13, 14, 16, 17, 19].\n</reasoning>\nFinal Answer: [3, 4, 8, 9, 11, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 9) * (33 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+9)=51, (33-29)=4, then 51×4=204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 5, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (20-1)×5 = 36 + 95 = 131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 79 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 78 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(78+54) = 2×132 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 603 mod 321"
},
{
"role": "assistant",
"content": "<reasoning>\n603 mod 321: 603 = 321 × 1 + 282, so remainder = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 + 3/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/2 + 3/1. Common denominator = 1. Result = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:7 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/7, so B = A × (7/43) = 10 × 7/43 = 1.6279.\n</reasoning>\nFinal Answer: 1.6279"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1929. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1929 × 12/100 = 231.48. Total = 1929 + 231.48 = 2160.48.\n</reasoning>\nFinal Answer: 2160.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 36, 97, 60, 37, 25, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 25, 36, 37, 48, 60, 97]. Middle value(s) → median = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 275 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 275 × (1 + 25/100) = 275 × 1.25 = 343.75.\n</reasoning>\nFinal Answer: 343.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 - 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/13 - 19/18. LCD = 234. Result = 5/234.\n</reasoning>\nFinal Answer: 5/234"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 4 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+4) × 19 = 446.5.\n</reasoning>\nFinal Answer: 446.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 + 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/5 + 4/5. Common denominator = 5. Result = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 746 ÷ -249"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 746 by -249. 746 ÷ -249 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1707. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1707 × 5/100 = 85.35. Total = 1707 + 85.35 = 1792.35.\n</reasoning>\nFinal Answer: 1792.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 749 km apart. Their speeds are 109 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+41=150 km/h. Time = 749/150 = 4.9933 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 21 = 808.5.\n</reasoning>\nFinal Answer: 808.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 33 = -93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 18x = -126. Divide by 18: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 32, 36, 77, 56, 25, 82, 71, 78, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 564/10 = 56.4.\n</reasoning>\nFinal Answer: 56.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (1)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 1² - 4×1×-30 = 121. √discriminant = 11. x = (-(1) ± 11) / (2×1). Solutions: x = -6 or x = 5.\n</reasoning>\nFinal Answer: x = -6 or x = 5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 17 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 17 × 27 = 459.\n</reasoning>\nFinal Answer: 459"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -537 × 808"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -537 by 808: -537 × 808 = -433896.\n</reasoning>\nFinal Answer: -433896"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:14 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/14, so B = A × (14/22) = 68 × 14/22 = 43.2727.\n</reasoning>\nFinal Answer: 43.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 39) * (18 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+39)=64, (18-27)=-9, then 64×-9=-576.\n</reasoning>\nFinal Answer: -576"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 29 = 64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 5x = 35. Divide by 5: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+44) = 2×116 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -111 + -91"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -111 and -91: -111 + -91 = -202.\n</reasoning>\nFinal Answer: -202"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 - 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/2 - 18/4. LCD = 2. Result = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -372 - -828"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -828 from -372: -372 - -828 = 456.\n</reasoning>\nFinal Answer: 456"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 19, 68, 70, 23, 18, 38, 33, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 19: 1, 68: 1, 70: 1, 23: 1, 18: 1, 38: 1, 33: 1, 8: 1}. Most frequent: [45, 19, 68, 70, 23, 18, 38, 33, 8].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -1000 + 248"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -1000 and 248: -1000 + 248 = -752.\n</reasoning>\nFinal Answer: -752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×34)/2 = 714.\n</reasoning>\nFinal Answer: 714"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 16 = 8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 2x = -8. Divide by 2: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 45 = -15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 20x = -60. Divide by 20: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 42 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+42) × 7 = 290.5.\n</reasoning>\nFinal Answer: 290.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 34 = 238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 12x = 204. Divide by 12: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 31 = 361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 30x = 330. Divide by 30: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/20 - 6/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/20 - 6/9. LCD = 15. Result = -7/15.\n</reasoning>\nFinal Answer: -7/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 673 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 673 × (1 - 80/100) = 673 × 0.19999999999999996 = 134.6.\n</reasoning>\nFinal Answer: 134.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 20, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 20 + 35 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 390 mod -471"
},
{
"role": "assistant",
"content": "<reasoning>\n390 mod -471: 390 = -471 × -1 + -81, so remainder = -81.\n</reasoning>\nFinal Answer: -81"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 11, 14, 17] and B = [6, 8, 13, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 9, 11, 13, 14].\n</reasoning>\nFinal Answer: [3, 6... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 9 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+9) × 39 = 663.0.\n</reasoning>\nFinal Answer: 663.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 25, 26, 63, 21, 75, 4, 19, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 352/9 = 39.1111.\n</reasoning>\nFinal Answer: 39.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 122 and 177."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(122,177) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-10)x + (-75) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×5×-75 = 1600. √discriminant = 40. x = (-(-10) ± 40) / (2×5). Solutions: x = -3 or x = 5.\n</reasoning>\nFinal Answer: x = -3 or x = 5... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 6) * (1 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+6)=32, (1-4)=-3, then 32×-3=-96.\n</reasoning>\nFinal Answer: -96"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1974. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1974 × 5/100 = 98.7. Total = 1974 + 98.7 = 2072.7.\n</reasoning>\nFinal Answer: 2072.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 8 = -958"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 21x = -966. Divide by 21: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 + 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/17 + 19/1. Common denominator = 17. Result = 332/17.\n</reasoning>\nFinal Answer: 332/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (8)x + (-24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×2×-24 = 256. √discriminant = 16. x = (-(8) ± 16) / (2×2). Solutions: x = -6 or x = 2.\n</reasoning>\nFinal Answer: x = -6 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 879 mod 528"
},
{
"role": "assistant",
"content": "<reasoning>\n879 mod 528: 879 = 528 × 1 + 351, so remainder = 351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 82 = 1804.\n</reasoning>\nFinal Answer: 1804"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 840 km apart. Their speeds are 102 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+66=168 km/h. Time = 840/168 = 5.0 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 30 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 4x = 40. Divide by 4: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 57 = 3990.\n</reasoning>\nFinal Answer: 3990"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 16 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+16) × 5 = 100.0.\n</reasoning>\nFinal Answer: 100.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 34 + 831"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 34 and 831: 34 + 831 = 865.\n</reasoning>\nFinal Answer: 865"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29895 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29895 × 3 × 4 / 100 = 3587.4.\n</reasoning>\nFinal Answer: 3587.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -19 = -305"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 11x = -286. Divide by 11: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 * 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/5) × (14/12) = (140/60) = 7/3 after simplification.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 67, 57, 68, 88, 3, 29, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 67: 1, 57: 1, 68: 1, 88: 1, 3: 1, 29: 1, 19: 1}. Most frequent: [49, 67, 57, 68, 88, 3, 29, 19].\n</reasoning>\nFinal Answer: [49, 67, 57... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -370 ÷ -709"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -370 by -709. -370 ÷ -709 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 1 = -335"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 12x = -336. Divide by 12: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 346 + -939"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 346 and -939: 346 + -939 = -593.\n</reasoning>\nFinal Answer: -593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:34 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/34, so B = A × (34/18) = 46 × 34/18 = 86.8889.\n</reasoning>\nFinal Answer: 86.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 8, 88, 11, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 8: 1, 88: 1, 11: 1, 95: 1}. Most frequent: [65, 8, 88, 11, 95].\n</reasoning>\nFinal Answer: [65, 8, 88, 11, 95]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 24 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 49+576-17=608.\n</reasoning>\nFinal Answer: 608"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 202 ÷ -303"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 202 by -303. 202 ÷ -303 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 618 × 469"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 618 by 469: 618 × 469 = 289842.\n</reasoning>\nFinal Answer: 289842"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:15 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/15, so B = A × (15/2) = 71 × 15/2 = 532.5.\n</reasoning>\nFinal Answer: 532.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3519. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3519 × 12/100 = 422.28. Total = 3519 + 422.28 = 3941.28.\n</reasoning>\nFinal Answer: 3941.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -13 = 329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 18x = 342. Divide by 18: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 872 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 872 × (1 + 7/100) = 872 × 1.07 = 933.04.\n</reasoning>\nFinal Answer: 933.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 41 and 120."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(41,120) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 709 - -701"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -701 from 709: 709 - -701 = 1410.\n</reasoning>\nFinal Answer: 1410"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 841 ÷ -626"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 841 by -626. 841 ÷ -626 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 24 = -730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 26x = -754. Divide by 26: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -110 ÷ -140"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -110 by -140. -110 ÷ -140 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 27 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 18+729-20=727.\n</reasoning>\nFinal Answer: 727"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -514 - -120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -120 from -514: -514 - -120 = -394.\n</reasoning>\nFinal Answer: -394"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 + 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/10 + 9/11. Common denominator = 22. Result = 51/22.\n</reasoning>\nFinal Answer: 51/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 987 - -603"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -603 from 987: 987 - -603 = 1590.\n</reasoning>\nFinal Answer: 1590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 37, 70, 90, 39, 9, 90, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 3 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 * 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/5) × (16/12) = (320/60) = 16/3 after simplification.\n</reasoning>\nFinal Answer: 16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:47 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/47, so B = A × (47/5) = 76 × 47/5 = 714.4.\n</reasoning>\nFinal Answer: 714.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -41 = 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 5x = 120. Divide by 5: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 16 and 179."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(16,179) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 114 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(114,9) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
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