messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 14 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+14) × 41 = 922.5.\n</reasoning>\nFinal Answer: 922.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 42 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+42) × 25 = 1012.5.\n</reasoning>\nFinal Answer: 1012.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -4 = -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 5x = -215. Divide by 5: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8883 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8883 × 4 × 8 / 100 = 2842.56.\n</reasoning>\nFinal Answer: 2842.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 57 = 2308.5.\n</reasoning>\nFinal Answer: 2308.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 22 = -314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 12x = -336. Divide by 12: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 27 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(27,29) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:20 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/20, so B = A × (20/41) = 62 × 20/41 = 30.2439.\n</reasoning>\nFinal Answer: 30.2439"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 9, 11, 12, 14, 15] and B = [1, 2, 4, 11, 13, 14, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 9, 12, 15].\n</reasoning>\nFinal Answer: [7, 9, 12, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 271 mod -326"
},
{
"role": "assistant",
"content": "<reasoning>\n271 mod -326: 271 = -326 × -1 + -55, so remainder = -55.\n</reasoning>\nFinal Answer: -55"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 23 + 21 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×23=1104 and 21×14=294, then add: 1398.\n</reasoning>\nFinal Answer: 1398"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -243 - -686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -686 from -243: -243 - -686 = 443.\n</reasoning>\nFinal Answer: 443"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:39 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/39, so B = A × (39/20) = 48 × 39/20 = 93.6.\n</reasoning>\nFinal Answer: 93.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -20 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 11x = 154. Divide by 11: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 291 km apart. Their speeds are 114 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+81=195 km/h. Time = 291/195 = 1.4923 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 6 = 664"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 14x = 658. Divide by 14: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 35 * 22 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×22=770, then 33+770-50=753.\n</reasoning>\nFinal Answer: 753"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 27, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 27 + 34 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 20, 59, 35, 60, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 17, 20, 35, 59, 60]. Middle value(s) → median = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 17, 18] and B = [5, 8, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 8, 17, 18].\n</reasoning>\nFinal Answer: [3, 5, 8, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "524 is what percentage of 585?"
},
{
"role": "assistant",
"content": "<reasoning>\n(524/585) × 100 = 89.5726%.\n</reasoning>\nFinal Answer: 89.5726%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 548 km apart. Their speeds are 110 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+90=200 km/h. Time = 548/200 = 2.74 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 14 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 14 = 182 worker-days. New time = 182 / 7 = 26.0 days.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 27 = 1620.\n</reasoning>\nFinal Answer: 1620"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -24 = 704"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 26x = 728. Divide by 26: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 671 + -69"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 671 and -69: 671 + -69 = 602.\n</reasoning>\nFinal Answer: 602"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 5 = -667"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 28x = -672. Divide by 28: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 50 * 22 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×22=1100, then 34+1100-20=1114.\n</reasoning>\nFinal Answer: 1114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×48)/3 = 528.\n</reasoning>\nFinal Answer: 528"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 47 = 383"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 12x = 336. Divide by 12: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -538 mod 228"
},
{
"role": "assistant",
"content": "<reasoning>\n-538 mod 228: -538 = 228 × -3 + 146, so remainder = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 19 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 33+361-4=390.\n</reasoning>\nFinal Answer: 390"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 237 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 237 × (1 + 35/100) = 237 × 1.35 = 319.95.\n</reasoning>\nFinal Answer: 319.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (6)x + (-7) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×1×-7 = 64. √discriminant = 8. x = (-(6) ± 8) / (2×1). Solutions: x = 1 or x = -7.\n</reasoning>\nFinal Answer: x = 1 or x = -7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 812 km apart. Their speeds are 117 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 117+40=157 km/h. Time = 812/157 = 5.172 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 14 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 14 × 62 = 868.\n</reasoning>\nFinal Answer: 868"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 44 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 10+1936-18=1928.\n</reasoning>\nFinal Answer: 1928"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 8) * (49 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+8)=34, (49-31)=18, then 34×18=612.\n</reasoning>\nFinal Answer: 612"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 17 * 20 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×20=340, then 11+340-40=311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 678 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 678 × (1 + 70/100) = 678 × 1.7 = 1152.6.\n</reasoning>\nFinal Answer: 1152.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 18 = 1476.\n</reasoning>\nFinal Answer: 1476"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 27 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 25+729-40=714.\n</reasoning>\nFinal Answer: 714"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "682 is what percentage of 876?"
},
{
"role": "assistant",
"content": "<reasoning>\n(682/876) × 100 = 77.8539%.\n</reasoning>\nFinal Answer: 77.8539%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 213 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 213 × (1 + 30/100) = 213 × 1.3 = 276.9.\n</reasoning>\nFinal Answer: 276.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -6 = -741"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 15x = -735. Divide by 15: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 80 × 484"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 80 by 484: 80 × 484 = 38720.\n</reasoning>\nFinal Answer: 38720"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 * 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/5) × (15/5) = (75/25) = 3 after simplification.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 9 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 9/19 = 0.4737.\n</reasoning>\nFinal Answer: 0.4737"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -41 = -119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 13x = -78. Divide by 13: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 936 - 569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 569 from 936: 936 - 569 = 367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 5 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 5 = 45 worker-days. New time = 45 / 3 = 15.0 days.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 487 × -47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 487 by -47: 487 × -47 = -22889.\n</reasoning>\nFinal Answer: -22889"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [95, 55, 16, 45, 37, 99, 45, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 24, 37, 45, 45, 55, 95, 99]. Middle value(s) → median = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -25 mod 160"
},
{
"role": "assistant",
"content": "<reasoning>\n-25 mod 160: -25 = 160 × -1 + 135, so remainder = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 12 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 12 = 108 worker-days. New time = 108 / 18 = 6.0 days.\n</reasoning>\nFinal Answer: 6.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 342 × 620"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 342 by 620: 342 × 620 = 212040.\n</reasoning>\nFinal Answer: 212040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 276 ÷ -661"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 276 by -661. 276 ÷ -661 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 72, 5, 72, 77, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 5 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:15 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/15, so B = A × (15/26) = 63 × 15/26 = 36.3462.\n</reasoning>\nFinal Answer: 36.3462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 51 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 51 + 163 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -799 ÷ -361"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -799 by -361. -799 ÷ -361 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -918 mod 525"
},
{
"role": "assistant",
"content": "<reasoning>\n-918 mod 525: -918 = 525 × -2 + 132, so remainder = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 + 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/17 + 1/7. Common denominator = 119. Result = 38/119.\n</reasoning>\nFinal Answer: 38/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 339 + 311"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 339 and 311: 339 + 311 = 650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 28 * 30 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×30=840, then 13+840-23=830.\n</reasoning>\nFinal Answer: 830"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 383 - 416"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 416 from 383: 383 - 416 = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 36 = -447"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 23x = -483. Divide by 23: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-48)x + (189) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -48² - 4×3×189 = 36. √discriminant = 6. x = (-(-48) ± 6) / (2×3). Solutions: x = 9 or x = 7.\n</reasoning>\nFinal Answer: x = 9 or x = 7"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 33 + 46 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×33=132 and 46×44=2024, then add: 2156.\n</reasoning>\nFinal Answer: 2156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 - 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/10 - 1/17. LCD = 170. Result = 211/170.\n</reasoning>\nFinal Answer: 211/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 64 apples and buys 34 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 64 + 34 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 44 = 359"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 15x = 315. Divide by 15: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "List all positive factors of 21."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 21: factors are [1, 3, 7, 21].\n</reasoning>\nFinal Answer: [1, 3, 7, 21]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Calculate: -586 mod 39"
},
{
"role": "assistant",
"content": "<reasoning>\n-586 mod 39: -586 = 39 × -16 + 38, so remainder = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 7, 9, 10, 18] and B = [8, 9, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 3, 6, 7, 10, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 7, 10, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 949 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 949 × (1 + 45/100) = 949 × 1.45 = 1376.05.\n</reasoning>\nFinal Answer: 1376.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 61 = 5246.\n</reasoning>\nFinal Answer: 5246"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 11) * (7 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+11)=16, (7-10)=-3, then 16×-3=-48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 980 ÷ -157"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 980 by -157. 980 ÷ -157 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 4 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 4 × (1 + 40/100) = 4 × 1.4 = 5.6.\n</reasoning>\nFinal Answer: 5.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 14 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 21+196-9=208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 28, 48, 68, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 20. Next term = 88 + 20 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 + 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/2 + 5/3. Common denominator = 6. Result = 37/6.\n</reasoning>\nFinal Answer: 37/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 15, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (49-1)×15 = 28 + 720 = 748.\n</reasoning>\nFinal Answer: 748"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×35)/1 = 770.\n</reasoning>\nFinal Answer: 770"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:18 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/18, so B = A × (18/12) = 24 × 18/12 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -602 - 357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 357 from -602: -602 - 357 = -959.\n</reasoning>\nFinal Answer: -959"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 307 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 307 × (1 + 10/100) = 307 × 1.1 = 337.7.\n</reasoning>\nFinal Answer: 337.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 61, 80, 99, 118]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 19. Next term = 118 + 19 = 137.\n</reasoning>\nFinal Answer: 137"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = -175. Divide by 7: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -252 + -888"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -252 and -888: -252 + -888 = -1140.\n</reasoning>\nFinal Answer: -1140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 15, 16] and B = [8, 13, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [7, 8, 10, 13, 15, 16].\n</reasoning>\nFinal Answer: [7, 8, 10, 13, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -995 mod 36"
},
{
"role": "assistant",
"content": "<reasoning>\n-995 mod 36: -995 = 36 × -28 + 13, so remainder = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -818 ÷ -149"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -818 by -149. -818 ÷ -149 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 36 = 3168.\n</reasoning>\nFinal Answer: 3168"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 3, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (43-1)×3 = 40 + 126 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 18 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 15+324-15=324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 21 = -411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 24x = -432. Divide by 24: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (3)x + (2) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 3² - 4×1×2 = 1. √discriminant = 1. x = (-(3) ± 1) / (2×1). Solutions: x = -2 or x = -1.\n</reasoning>\nFinal Answer: x = -2 or x = -1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 16, 1, 45, 21, 86, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 16, 21, 38, 45, 56, 86]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
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