messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 399 mod 624"
},
{
"role": "assistant",
"content": "<reasoning>\n399 mod 624: 399 = 624 × 0 + 399, so remainder = 399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 28 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9] and B = [1, 2, 3, 5, 15, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 8, 9, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 8, 9, 15, 17, 19]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 955 mod 874"
},
{
"role": "assistant",
"content": "<reasoning>\n955 mod 874: 955 = 874 × 1 + 81, so remainder = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 251."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 251 by smallest primes repeatedly: 251 = 251.\n</reasoning>\nFinal Answer: 251"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 53 and 91."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(53,91) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 45 apples and buys 24 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 45 + 24 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 22) * (23 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+22)=72, (23-44)=-21, then 72×-21=-1512.\n</reasoning>\nFinal Answer: -1512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 34) * (11 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+34)=37, (11-4)=7, then 37×7=259.\n</reasoning>\nFinal Answer: 259"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 330 km apart. Their speeds are 45 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 45+114=159 km/h. Time = 330/159 = 2.0755 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -12 = 463"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 25x = 475. Divide by 25: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -30 = -590"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 28x = -560. Divide by 28: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 46 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 46 × 84 = 3864.\n</reasoning>\nFinal Answer: 3864"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+45) = 2×61 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -20 = -710"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 23x = -690. Divide by 23: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 - 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/1 - 18/9. LCD = 1. Result = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 187 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 187 × (1 - 40/100) = 187 × 0.6 = 112.2.\n</reasoning>\nFinal Answer: 112.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 613 mod 154"
},
{
"role": "assistant",
"content": "<reasoning>\n613 mod 154: 613 = 154 × 3 + 151, so remainder = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 62, 13, 79, 1, 97, 7, 55, 54, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 1 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 22 = -138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 8x = -160. Divide by 8: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 + 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/4 + 7/12. Common denominator = 12. Result = 31/12.\n</reasoning>\nFinal Answer: 31/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -38 = 712"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 15x = 750. Divide by 15: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 520 km apart. Their speeds are 87 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+44=131 km/h. Time = 520/131 = 3.9695 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 5, 41, 59, 80, 16, 56, 45, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 5 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 29) * (8 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+29)=35, (8-42)=-34, then 35×-34=-1190.\n</reasoning>\nFinal Answer: -1190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 21 = 1470.\n</reasoning>\nFinal Answer: 1470"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 6, 11, 16, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 1 and common difference 5. Next term = 21 + 5 = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 74, 37, 15, 69, 74, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 15 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [10, 15, 18] and B = [2, 5, 9, 10, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [18].\n</reasoning>\nFinal Answer: [18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 45% of 610?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 610 = (45/100) × 610 = 274.5.\n</reasoning>\nFinal Answer: 274.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 16, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (28-1)×16 = 3 + 432 = 435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 48 = -357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 9x = -405. Divide by 9: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [27, 12, 7, 7, 9, 84, 89, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 7 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 442 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 442 × (1 + 75/100) = 442 × 1.75 = 773.5.\n</reasoning>\nFinal Answer: 773.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 1 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+1) × 18 = 207.0.\n</reasoning>\nFinal Answer: 207.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 114 apples and buys 176 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 114 + 176 = 290.\n</reasoning>\nFinal Answer: 290"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [12, 13, 14] and B = [2, 3, 4, 5, 7, 9, 11, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 386 km apart. Their speeds are 112 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+63=175 km/h. Time = 386/175 = 2.2057 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 5, 93, 53, 52, 10, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 4 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [89, 74, 89, 10, 75, 45, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 45, 74, 75, 81, 89, 89]. Middle value(s) → median = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 255 - -355"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -355 from 255: 255 - -355 = 610.\n</reasoning>\nFinal Answer: 610"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/6 / 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/6) ÷ (20/18) = (2/6) × (18/20) = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 90% of 620?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 620 = (90/100) × 620 = 558.0.\n</reasoning>\nFinal Answer: 558.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 93 and 123."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(93,123) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -950 mod 270"
},
{
"role": "assistant",
"content": "<reasoning>\n-950 mod 270: -950 = 270 × -4 + 130, so remainder = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 47, 99, 9, 68, 64, 68, 100, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 523/9 = 58.1111.\n</reasoning>\nFinal Answer: 58.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -690 ÷ -197"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -690 by -197. -690 ÷ -197 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 9, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (15-1)×9 = 23 + 126 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 472 km apart. Their speeds are 104 km/h and 91 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+91=195 km/h. Time = 472/195 = 2.4205 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 33 = 543"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 17x = 510. Divide by 17: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:21 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/21, so B = A × (21/38) = 75 × 21/38 = 41.4474.\n</reasoning>\nFinal Answer: 41.4474"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -24 = 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 10x = 40. Divide by 10: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 652 - -877"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -877 from 652: 652 - -877 = 1529.\n</reasoning>\nFinal Answer: 1529"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 69 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 69 × 63 = 2173.5.\n</reasoning>\nFinal Answer: 2173.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -3 = -899"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 28x = -896. Divide by 28: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:36 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/36, so B = A × (36/12) = 55 × 36/12 = 165.0.\n</reasoning>\nFinal Answer: 165.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 72 + 115"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 72 and 115: 72 + 115 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 729 - -730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -730 from 729: 729 - -730 = 1459.\n</reasoning>\nFinal Answer: 1459"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 85 = 7310.\n</reasoning>\nFinal Answer: 7310"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -149 ÷ 122"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -149 by 122. -149 ÷ 122 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 15 = 143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 16x = 128. Divide by 16: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 98 km/h. How far does it travel in 10 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 59/60 = 10.9833 hours. Distance = speed × time = 98 × 10.9833 = 1076.3667 km.\n</reasoning>\nFinal Answer: 1076.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 12, 16, 18] and B = [5, 11, 12, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 5, 11, 13, 16, 18].\n</reasoning>\nFinal Answer: [2,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-30)x + (-135) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×5×-135 = 3600. √discriminant = 60. x = (-(-30) ± 60) / (2×5). Solutions: x = 9 or x = -3.\n</reasoning>\nFinal Answer: x = 9 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [39, 27, 27, 96, 71, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/6 = 57.6667.\n</reasoning>\nFinal Answer: 57.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 113 km/h. How far does it travel in 11 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 21/60 = 11.3500 hours. Distance = speed × time = 113 × 11.3500 = 1282.55 km.\n</reasoning>\nFinal Answer: 1282.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:29 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/29, so B = A × (29/8) = 100 × 29/8 = 362.5.\n</reasoning>\nFinal Answer: 362.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 84, 26, 14, 97, 23, 50, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 23, 26, 35, 44, 50, 84, 97]. Middle value(s) → median = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 31 = 871"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 30x = 840. Divide by 30: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 99 and 151."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(99,151) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 7 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(7+97) = 2×104 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -863 ÷ 4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -863 by 4. -863 ÷ 4 = -216 (integer division).\n</reasoning>\nFinal Answer: -216"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 985 × -785"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 985 by -785: 985 × -785 = -773225.\n</reasoning>\nFinal Answer: -773225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 22, 17, 56, 16, 78, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 16 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 9 * 39 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×39=351, then 2+351-36=317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 34 = 130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 6x = 96. Divide by 6: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -213 - -819"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -819 from -213: -213 - -819 = 606.\n</reasoning>\nFinal Answer: 606"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -308 mod -221"
},
{
"role": "assistant",
"content": "<reasoning>\n-308 mod -221: -308 = -221 × 1 + -87, so remainder = -87.\n</reasoning>\nFinal Answer: -87"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:32 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/32, so B = A × (32/44) = 71 × 32/44 = 51.6364.\n</reasoning>\nFinal Answer: 51.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 622 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 622 × (1 + 5/100) = 622 × 1.05 = 653.1.\n</reasoning>\nFinal Answer: 653.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 2 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+2) × 16 = 136.0.\n</reasoning>\nFinal Answer: 136.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 378 - 118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 118 from 378: 378 - 118 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [2, 65, 77, 80, 61, 76, 83, 54, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 501/9 = 55.6667.\n</reasoning>\nFinal Answer: 55.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 900 ÷ 516"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 900 by 516. 900 ÷ 516 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -7 = -619"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 18x = -612. Divide by 18: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:25 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/25, so B = A × (25/28) = 59 × 25/28 = 52.6786.\n</reasoning>\nFinal Answer: 52.6786"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 3% of 9?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 9 = (3/100) × 9 = 0.27.\n</reasoning>\nFinal Answer: 0.27"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 * 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/17) × (6/14) = (24/238) = 12/119 after simplification.\n</reasoning>\nFinal Answer: 12/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 620 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 620 × (1 + 5/100) = 620 × 1.05 = 651.0.\n</reasoning>\nFinal Answer: 651.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:5 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/5, so B = A × (5/14) = 64 × 5/14 = 22.8571.\n</reasoning>\nFinal Answer: 22.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 19, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (49-1)×19 = 23 + 912 = 935.\n</reasoning>\nFinal Answer: 935"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 42, 49, 56, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 7. Next term = 63 + 7 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 15, 16, 19] and B = [3, 4, 5, 8, 14, 15, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 8, 14, 19].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 73, 61, 45, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 45, 61, 73, 87]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 90% of 529?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 529 = (90/100) × 529 = 476.1.\n</reasoning>\nFinal Answer: 476.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 19 = 25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 1x = 6. Divide by 1: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 900 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 900 × (1 + 15/100) = 900 × 1.15 = 1035.0.\n</reasoning>\nFinal Answer: 1035.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47707 at 10% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47707 × 10 × 8 / 100 = 38165.6.\n</reasoning>\nFinal Answer: 38165.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 57 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 / 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/12) ÷ (4/3) = (12/12) × (3/4) = 3/4.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
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