messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 30, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 30 + 36 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 30 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 30 × 89 = 2670.\n</reasoning>\nFinal Answer: 2670"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -48 = 909"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 29x = 957. Divide by 29: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/17 + 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/17 + 15/2. Common denominator = 34. Result = 279/34.\n</reasoning>\nFinal Answer: 279/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 50 = 698"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 24x = 648. Divide by 24: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 9, 11, 12, 16, 18] and B = [6, 7, 11, 12], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 7, 9, 16, 18].\n</reasoning>\nFinal Answer: [3, 7... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 37 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+37) × 31 = 883.5.\n</reasoning>\nFinal Answer: 883.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 / 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/11) ÷ (17/3) = (2/11) × (3/17) = 6/187.\n</reasoning>\nFinal Answer: 6/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 21 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 21 = 63 worker-days. New time = 63 / 9 = 7.0 days.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 38, 12, 45, 81, 21, 22, 5, 72, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 422/10 = 42.2.\n</reasoning>\nFinal Answer: 42.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 110 apples and buys 132 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 110 + 132 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 19/8. Common denominator = 8. Result = 139/8.\n</reasoning>\nFinal Answer: 139/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 7 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n7 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 3 * 16 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×16=48, then 11+48-13=46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -967 mod 836"
},
{
"role": "assistant",
"content": "<reasoning>\n-967 mod 836: -967 = 836 × -2 + 705, so remainder = 705.\n</reasoning>\nFinal Answer: 705"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 30% of 188?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 188 = (30/100) × 188 = 56.4.\n</reasoning>\nFinal Answer: 56.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -12 - -371"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -371 from -12: -12 - -371 = 359.\n</reasoning>\nFinal Answer: 359"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 44 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 34+1936-30=1940.\n</reasoning>\nFinal Answer: 1940"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -14 = -905"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 27x = -891. Divide by 27: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 15 * 9 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×9=135, then 4+135-50=89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 45 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 28x = -28. Divide by 28: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 13 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+13) × 12 = 372.0.\n</reasoning>\nFinal Answer: 372.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:49 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/49, so B = A × (49/13) = 23 × 49/13 = 86.6923.\n</reasoning>\nFinal Answer: 86.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 593 ÷ 227"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 593 by 227. 593 ÷ 227 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 599 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 599 × (1 - 5/100) = 599 × 0.95 = 569.05.\n</reasoning>\nFinal Answer: 569.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -544 + -414"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -544 and -414: -544 + -414 = -958.\n</reasoning>\nFinal Answer: -958"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 71, 42, 97, 23, 97, 72, 26, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 2 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 845 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 845 × (1 - 65/100) = 845 × 0.35 = 295.75.\n</reasoning>\nFinal Answer: 295.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 34 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 17+1156-7=1166.\n</reasoning>\nFinal Answer: 1166"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 90% of 742?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 742 = (90/100) × 742 = 667.8.\n</reasoning>\nFinal Answer: 667.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 57, 75, 39, 69, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 39 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -827 × -197"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -827 by -197: -827 × -197 = 162919.\n</reasoning>\nFinal Answer: 162919"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 / 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/15) ÷ (11/15) = (8/15) × (15/11) = 8/11.\n</reasoning>\nFinal Answer: 8/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 12 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+12) × 4 = 32.0.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 + 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/16 + 6/8. Common denominator = 16. Result = 27/16.\n</reasoning>\nFinal Answer: 27/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:8 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/8, so B = A × (8/12) = 86 × 8/12 = 57.3333.\n</reasoning>\nFinal Answer: 57.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:16 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/16, so B = A × (16/34) = 58 × 16/34 = 27.2941.\n</reasoning>\nFinal Answer: 27.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "676 is what percentage of 844?"
},
{
"role": "assistant",
"content": "<reasoning>\n(676/844) × 100 = 80.0948%.\n</reasoning>\nFinal Answer: 80.0948%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 22 = -274"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 8x = -296. Divide by 8: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:35 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/35, so B = A × (35/42) = 48 × 35/42 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [94, 6, 86, 4, 31, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 6, 31, 53, 86, 94]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 162 and 96."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(162,96) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 12 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 24/60 = 12.4000 hours. Distance = speed × time = 105 × 12.4000 = 1302.0 km.\n</reasoning>\nFinal Answer: 1302.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 971?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 971 = (45/100) × 971 = 436.95.\n</reasoning>\nFinal Answer: 436.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 48 = -1148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 26x = -1196. Divide by 26: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -50 = -32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 2x = 18. Divide by 2: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 117 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 117 × (1 - 35/100) = 117 × 0.65 = 76.05.\n</reasoning>\nFinal Answer: 76.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 6 + 13 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×6=222 and 13×44=572, then add: 794.\n</reasoning>\nFinal Answer: 794"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:20 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/20, so B = A × (20/26) = 23 × 20/26 = 17.6923.\n</reasoning>\nFinal Answer: 17.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 * 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/11) × (8/14) = (96/154) = 48/77 after simplification.\n</reasoning>\nFinal Answer: 48/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:43 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/43, so B = A × (43/3) = 67 × 43/3 = 960.3333.\n</reasoning>\nFinal Answer: 960.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 82, 95, 77, 40, 72, 71, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 558/8 = 69.75.\n</reasoning>\nFinal Answer: 69.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:47 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/47, so B = A × (47/47) = 3 × 47/47 = 3.0.\n</reasoning>\nFinal Answer: 3.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:35 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/35, so B = A × (35/50) = 92 × 35/50 = 64.4.\n</reasoning>\nFinal Answer: 64.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 241 × 869"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 241 by 869: 241 × 869 = 209429.\n</reasoning>\nFinal Answer: 209429"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 617 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 617 × (1 - 70/100) = 617 × 0.30000000000000004 = 185.1.\n</reasoning>\nFinal Answer: 185.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 6, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (50-1)×6 = 34 + 294 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 * 5/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/4) × (5/16) = (35/64) = 35/64 after simplification.\n</reasoning>\nFinal Answer: 35/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 38, 77, 94, 51, 93, 81, 38, 84, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 32, 38, 38, 51, 77, 81, 84, 93, 94]. Middle value(s) → median = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 2, 63, 25, 98, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 363/6 = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -3 = -803"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 20x = -800. Divide by 20: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 50 * 39 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×39=1950, then 12+1950-5=1957.\n</reasoning>\nFinal Answer: 1957"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 26 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+26) × 23 = 874.0.\n</reasoning>\nFinal Answer: 874.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:7 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/7, so B = A × (7/40) = 45 × 7/40 = 7.875.\n</reasoning>\nFinal Answer: 7.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 125 km apart. Their speeds are 114 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+115=229 km/h. Time = 125/229 = 0.5459 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 11 = -825"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 22x = -836. Divide by 22: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 9 + 49 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×9=153 and 49×47=2303, then add: 2456.\n</reasoning>\nFinal Answer: 2456"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:20 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/20, so B = A × (20/28) = 32 × 20/28 = 22.8571.\n</reasoning>\nFinal Answer: 22.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 59."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 59 by smallest primes repeatedly: 59 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 54 = 1998.0.\n</reasoning>\nFinal Answer: 1998.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 131 km/h. How far does it travel in 10 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 29/60 = 10.4833 hours. Distance = speed × time = 131 × 10.4833 = 1373.3167 km.\n</reasoning>\nFinal Answer: 1373.3167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -204 ÷ 143"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -204 by 143. -204 ÷ 143 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -13 mod 782"
},
{
"role": "assistant",
"content": "<reasoning>\n-13 mod 782: -13 = 782 × -1 + 769, so remainder = 769.\n</reasoning>\nFinal Answer: 769"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:1 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/1, so B = A × (1/19) = 60 × 1/19 = 3.1579.\n</reasoning>\nFinal Answer: 3.1579"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -17 = -65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 24x = -48. Divide by 24: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 * 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/8) × (1/4) = (18/32) = 9/16 after simplification.\n</reasoning>\nFinal Answer: 9/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 449 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 449 × (1 - 60/100) = 449 × 0.4 = 179.6.\n</reasoning>\nFinal Answer: 179.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [5, 32, 40, 57, 70, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 5, 32, 40, 57, 70]. Middle value(s) → median = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -43 = 258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 7x = 301. Divide by 7: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 34 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 39+1156-44=1151.\n</reasoning>\nFinal Answer: 1151"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [75, 83, 100, 68, 71, 35, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {75: 1, 83: 1, 100: 1, 68: 1, 71: 1, 35: 1, 50: 1}. Most frequent: [75, 83, 100, 68, 71, 35, 50].\n</reasoning>\nFinal Answer: [75, 83, 100, 68, 71... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -532 mod 148"
},
{
"role": "assistant",
"content": "<reasoning>\n-532 mod 148: -532 = 148 × -4 + 60, so remainder = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -19 = 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 14x = 266. Divide by 14: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 25 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 25 = 500 worker-days. New time = 500 / 16 = 31.25 days.\n</reasoning>\nFinal Answer: 31.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 686 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 686 × (1 - 10/100) = 686 × 0.9 = 617.4.\n</reasoning>\nFinal Answer: 617.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 9, 60, 6, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 22, 60, 92]. Middle value(s) → median = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 16, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (21-1)×16 = 20 + 320 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 47 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 21+2209-19=2211.\n</reasoning>\nFinal Answer: 2211"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -38 mod -829"
},
{
"role": "assistant",
"content": "<reasoning>\n-38 mod -829: -38 = -829 × 0 + -38, so remainder = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -221 ÷ -44"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -221 by -44. -221 ÷ -44 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 47 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+47) × 5 = 207.5.\n</reasoning>\nFinal Answer: 207.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 / 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/16) ÷ (18/11) = (6/16) × (11/18) = 11/48.\n</reasoning>\nFinal Answer: 11/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3375. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3375 × 5/100 = 168.75. Total = 3375 + 168.75 = 3543.75.\n</reasoning>\nFinal Answer: 3543.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -34 = 384"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 11x = 418. Divide by 11: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 77 = 2079.0.\n</reasoning>\nFinal Answer: 2079.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 46, 62, 26, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 25 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:31 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/31, so B = A × (31/19) = 75 × 31/19 = 122.3684.\n</reasoning>\nFinal Answer: 122.3684"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 982 × -462"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 982 by -462: 982 × -462 = -453684.\n</reasoning>\nFinal Answer: -453684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 * 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/1) × (1/4) = (14/4) = 7/2 after simplification.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4557. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4557 × 18/100 = 820.26. Total = 4557 + 820.26 = 5377.26.\n</reasoning>\nFinal Answer: 5377.26"
}
] | medium | [
"word_problem",
"applied_math"
] |
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