messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 10/11 * 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/11) × (20/18) = (200/198) = 100/99 after simplification.\n</reasoning>\nFinal Answer: 100/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 6, 7, 8, 11, 13] and B = [6, 9, 13], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 13].\n</reasoning>\nFinal Answer: [6, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 899 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 899 × (1 + 75/100) = 899 × 1.75 = 1573.25.\n</reasoning>\nFinal Answer: 1573.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -30 = 474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 14x = 504. Divide by 14: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 55 + 279"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 55 and 279: 55 + 279 = 334.\n</reasoning>\nFinal Answer: 334"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 528 mod -742"
},
{
"role": "assistant",
"content": "<reasoning>\n528 mod -742: 528 = -742 × -1 + -214, so remainder = -214.\n</reasoning>\nFinal Answer: -214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 37 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 46+1369-21=1394.\n</reasoning>\nFinal Answer: 1394"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 + 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/12 + 16/7. Common denominator = 21. Result = 83/21.\n</reasoning>\nFinal Answer: 83/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "199 is what percentage of 320?"
},
{
"role": "assistant",
"content": "<reasoning>\n(199/320) × 100 = 62.1875%.\n</reasoning>\nFinal Answer: 62.1875%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 129 and 68."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(129,68) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 1 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 29+1-22=8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 33 + 8 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×33=792 and 8×15=120, then add: 912.\n</reasoning>\nFinal Answer: 912"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 + 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/18 + 19/14. Common denominator = 42. Result = 85/42.\n</reasoning>\nFinal Answer: 85/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 12, 13, 15, 16, 17, 19] and B = [4, 8, 12, 13, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 15, 16, 17].\n</reasoning>\nFinal Answer: [10, 15, 16, 17]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 - 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/2 - 13/15. LCD = 30. Result = 199/30.\n</reasoning>\nFinal Answer: 199/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:49 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/49, so B = A × (49/34) = 98 × 49/34 = 141.2353.\n</reasoning>\nFinal Answer: 141.2353"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 53, 61, 69, 33, 63, 10, 31, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 350/9 = 38.8889.\n</reasoning>\nFinal Answer: 38.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7846 at 11% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7846 × 11 × 10 / 100 = 8630.6.\n</reasoning>\nFinal Answer: 8630.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49670 at 16% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49670 × 16 × 3 / 100 = 23841.6.\n</reasoning>\nFinal Answer: 23841.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (4)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×2×0 = 16. √discriminant = 4. x = (-(4) ± 4) / (2×2). Solutions: x = 0 or x = -2.\n</reasoning>\nFinal Answer: x = 0 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -233 ÷ 381"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -233 by 381. -233 ÷ 381 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 * 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/11) × (10/8) = (20/88) = 5/22 after simplification.\n</reasoning>\nFinal Answer: 5/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -484 - -700"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -700 from -484: -484 - -700 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -35 = 749"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 28x = 784. Divide by 28: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 145 and 78."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(145,78) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 19) * (38 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+19)=63, (38-5)=33, then 63×33=2079.\n</reasoning>\nFinal Answer: 2079"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 6, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (33-1)×6 = 34 + 192 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32120 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32120 × 1 × 8 / 100 = 2569.6.\n</reasoning>\nFinal Answer: 2569.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 31 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 22+961-5=978.\n</reasoning>\nFinal Answer: 978"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:30 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/30, so B = A × (30/48) = 14 × 30/48 = 8.75.\n</reasoning>\nFinal Answer: 8.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 47 = 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 8x = 16. Divide by 8: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 167 and 137."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(167,137) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 550 + 620"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 550 and 620: 550 + 620 = 1170.\n</reasoning>\nFinal Answer: 1170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 57 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 57 × 17 = 969.\n</reasoning>\nFinal Answer: 969"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (11)x + (28) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 11² - 4×1×28 = 9. √discriminant = 3. x = (-(11) ± 3) / (2×1). Solutions: x = -7 or x = -4.\n</reasoning>\nFinal Answer: x = -7 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 9 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 0/60 = 9.0000 hours. Distance = speed × time = 157 × 9.0000 = 1413.0 km.\n</reasoning>\nFinal Answer: 1413.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 11 * 47 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×47=517, then 9+517-24=502.\n</reasoning>\nFinal Answer: 502"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-192) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-192 = 2304. √discriminant = 48. x = (-(0) ± 48) / (2×3). Solutions: x = 8 or x = -8.\n</reasoning>\nFinal Answer: x = 8 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 37 = 117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 5x = 80. Divide by 5: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 44 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 41+1936-42=1935.\n</reasoning>\nFinal Answer: 1935"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -385 mod -208"
},
{
"role": "assistant",
"content": "<reasoning>\n-385 mod -208: -385 = -208 × 1 + -177, so remainder = -177.\n</reasoning>\nFinal Answer: -177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 21 * 42 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×42=882, then 4+882-1=885.\n</reasoning>\nFinal Answer: 885"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 43 apples and buys 21 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 43 + 21 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 1 * 16 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×16=16, then 47+16-16=47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 90% of 295?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 295 = (90/100) × 295 = 265.5.\n</reasoning>\nFinal Answer: 265.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:23 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/23, so B = A × (23/50) = 52 × 23/50 = 23.92.\n</reasoning>\nFinal Answer: 23.92"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Is 72 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n72 = 2 × 36, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:11 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/11, so B = A × (11/38) = 32 × 11/38 = 9.2632.\n</reasoning>\nFinal Answer: 9.2632"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 13, 14, 18, 19] and B = [1, 2, 12, 13, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 5, 8, 14, 18, 19].\n</reasoning>\nFinal Answer: [3, 5, 8, 14, 18, 19]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 28, 39, 51, 53, 67, 3, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 350/8 = 43.75.\n</reasoning>\nFinal Answer: 43.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 33 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 33 × 79 = 2607.\n</reasoning>\nFinal Answer: 2607"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 / 17/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/5) ÷ (17/6) = (2/5) × (6/17) = 12/85.\n</reasoning>\nFinal Answer: 12/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 - 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/2 - 1/11. LCD = 11. Result = 109/11.\n</reasoning>\nFinal Answer: 109/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 90, 20, 27, 81, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 20, 27, 81, 90, 99]. Middle value(s) → median = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 45, 42, 87, 75, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 24 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -143 × -230"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -143 by -230: -143 × -230 = 32890.\n</reasoning>\nFinal Answer: 32890"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 804 × -506"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 804 by -506: 804 × -506 = -406824.\n</reasoning>\nFinal Answer: -406824"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 631?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 631 = (60/100) × 631 = 378.6.\n</reasoning>\nFinal Answer: 378.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -4 = 156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 16x = 160. Divide by 16: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 225 km apart. Their speeds are 98 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+99=197 km/h. Time = 225/197 = 1.1421 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×8)/2 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [48, 56, 9, 100, 60, 58, 40, 37, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {48: 1, 56: 1, 9: 1, 100: 1, 60: 1, 58: 1, 40: 2, 37: 1}. Most frequent: 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -50 = 301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 13x = 351. Divide by 13: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 27, 42, 21, 26, 49, 96, 73, 80, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 27: 1, 42: 1, 21: 1, 26: 1, 49: 1, 96: 1, 73: 1, 80: 1, 18: 1}. Most frequent: [39, 27, 42, 21, 26, 49, 96, 73, 80, 18].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -15 = 315"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 11x = 330. Divide by 11: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 42 * 37 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×37=1554, then 27+1554-25=1556.\n</reasoning>\nFinal Answer: 1556"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -6 = 1209"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 27x = 1215. Divide by 27: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "587 is what percentage of 738?"
},
{
"role": "assistant",
"content": "<reasoning>\n(587/738) × 100 = 79.5393%.\n</reasoning>\nFinal Answer: 79.5393%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 63 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 63 × 34 = 2142.\n</reasoning>\nFinal Answer: 2142"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 - 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/2 - 12/15. LCD = 10. Result = 57/10.\n</reasoning>\nFinal Answer: 57/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 160?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 160 = (40/100) × 160 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 758 ÷ 913"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 758 by 913. 758 ÷ 913 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -21 = -285"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 6x = -264. Divide by 6: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 995 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 995 × (1 - 75/100) = 995 × 0.25 = 248.75.\n</reasoning>\nFinal Answer: 248.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 90 + -617"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 90 and -617: 90 + -617 = -527.\n</reasoning>\nFinal Answer: -527"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 23, 91, 51, 40, 55, 70, 6, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 402/9 = 44.6667.\n</reasoning>\nFinal Answer: 44.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 26 = -484"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 30x = -510. Divide by 30: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 19 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 33+361-28=366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:40 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/40, so B = A × (40/37) = 18 × 40/37 = 19.4595.\n</reasoning>\nFinal Answer: 19.4595"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 27 and 170."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(27,170) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 25 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 25 × 60 = 1500.\n</reasoning>\nFinal Answer: 1500"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 343 - -471"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -471 from 343: 343 - -471 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 536 mod 826"
},
{
"role": "assistant",
"content": "<reasoning>\n536 mod 826: 536 = 826 × 0 + 536, so remainder = 536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×11)/1 = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -35 = -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 28x = 0. Divide by 28: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 77, 28, 59, 4, 23, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 77: 1, 28: 1, 59: 1, 4: 1, 23: 1, 5: 1}. Most frequent: [94, 77, 28, 59, 4, 23, 5].\n</reasoning>\nFinal Answer: [94, 77, 28, 59, 4, 23, 5]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 17/12 / 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/12) ÷ (12/13) = (17/12) × (13/12) = 221/144.\n</reasoning>\nFinal Answer: 221/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 9 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 18/60 = 9.3000 hours. Distance = speed × time = 92 × 9.3000 = 855.6 km.\n</reasoning>\nFinal Answer: 855.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 9] and B = [3, 4, 5, 12, 13, 14, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 5].\n</reasoning>\nFinal Answer: [4, 5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 9 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 9 = 126 worker-days. New time = 126 / 6 = 21.0 days.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 14, 18] and B = [8, 9, 11, 13, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 8, 9, 11, 13, 14, 16, 18].\n</reasoning>\nFinal Answer: [1, 8, 9, 11, 13, 14, 16, 18]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:14 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/14, so B = A × (14/31) = 73 × 14/31 = 32.9677.\n</reasoning>\nFinal Answer: 32.9677"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 71, 24, 30, 73, 88, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 71: 1, 24: 1, 30: 1, 73: 1, 88: 1, 37: 1}. Most frequent: [7, 71, 24, 30, 73, 88, 37].\n</reasoning>\nFinal Answer: [7, 71, 24, 30, 73, 88, 37... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:33 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/33, so B = A × (33/36) = 1 × 33/36 = 0.9167.\n</reasoning>\nFinal Answer: 0.9167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 674 + -886"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 674 and -886: 674 + -886 = -212.\n</reasoning>\nFinal Answer: -212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 40 + 50 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×40=1400 and 50×39=1950, then add: 3350.\n</reasoning>\nFinal Answer: 3350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 1, 99, 76, 67, 81, 46, 70, 14, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 14, 27, 46, 67, 70, 76, 81, 97, 99]. Middle value(s) → median = 68.5.\n</reasoning>\nFinal Answer: 68.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 198 km/h. How far does it travel in 5 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 40/60 = 5.6667 hours. Distance = speed × time = 198 × 5.6667 = 1122.0 km.\n</reasoning>\nFinal Answer: 1122.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 70% of 106?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 106 = (70/100) × 106 = 74.2.\n</reasoning>\nFinal Answer: 74.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 26 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 26 × 4 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | easy | [
"geometry",
"area"
] |
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