messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 44 = 3608.\n</reasoning>\nFinal Answer: 3608"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -171 + -11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -171 and -11: -171 + -11 = -182.\n</reasoning>\nFinal Answer: -182"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 86, 23, 40, 53, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 40, 42, 53, 86, 93]. Middle value(s) → median = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 12, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (23-1)×12 = 11 + 264 = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 10% of 623?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 623 = (10/100) × 623 = 62.3.\n</reasoning>\nFinal Answer: 62.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -810 - 774"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 774 from -810: -810 - 774 = -1584.\n</reasoning>\nFinal Answer: -1584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 572 - 123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 123 from 572: 572 - 123 = 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [13, 33, 53, 73, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 13 and common difference 20. Next term = 93 + 20 = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 8, 10, 15, 16, 18] and B = [2, 3, 5, 8, 13, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 10, 16, 18].\n</reasoning>\nFinal Answer: [6, 10, 16, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 879 km apart. Their speeds are 89 km/h and 104 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+104=193 km/h. Time = 879/193 = 4.5544 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 - 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/18 - 4/2. LCD = 9. Result = -17/9.\n</reasoning>\nFinal Answer: -17/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 31 + 48 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×31=1085 and 48×38=1824, then add: 2909.\n</reasoning>\nFinal Answer: 2909"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 12 = -138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 10x = -150. Divide by 10: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:30 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/30, so B = A × (30/45) = 83 × 30/45 = 55.3333.\n</reasoning>\nFinal Answer: 55.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 17 = 833.0.\n</reasoning>\nFinal Answer: 833.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 13 = 910.\n</reasoning>\nFinal Answer: 910"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 / 2/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/11) ÷ (2/10) = (6/11) × (10/2) = 30/11.\n</reasoning>\nFinal Answer: 30/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 39 * 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×2=78, then 27+78-31=74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 40% of 122?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 122 = (40/100) × 122 = 48.8.\n</reasoning>\nFinal Answer: 48.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 * 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/6) × (3/3) = (15/18) = 5/6 after simplification.\n</reasoning>\nFinal Answer: 5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 15, 28, 41, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 13. Next term = 54 + 13 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 67, 65, 77, 21, 47, 6, 9, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 21, 33, 47, 65, 67, 77, 93]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [15, 1, 79, 69, 92, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {15: 1, 1: 1, 79: 1, 69: 1, 92: 1, 60: 1}. Most frequent: [15, 1, 79, 69, 92, 60].\n</reasoning>\nFinal Answer: [15, 1, 79, 69, 92, 60]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 52, 28, 53, 7, 44, 7, 9, 62, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 7, 9, 28, 44, 52, 53, 59, 62, 88]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×15)/5 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 31) * (23 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+31)=71, (23-43)=-20, then 71×-20=-1420.\n</reasoning>\nFinal Answer: -1420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 38 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 1+1444-3=1442.\n</reasoning>\nFinal Answer: 1442"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 25 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 37+625-45=617.\n</reasoning>\nFinal Answer: 617"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 45 + 48 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×45=315 and 48×17=816, then add: 1131.\n</reasoning>\nFinal Answer: 1131"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 + 7/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/10 + 7/11. Common denominator = 22. Result = 47/22.\n</reasoning>\nFinal Answer: 47/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 70, 41, 90, 87, 39, 52, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 408/8 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -681 - 424"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 424 from -681: -681 - 424 = -1105.\n</reasoning>\nFinal Answer: -1105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 61 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(61+8) = 2×69 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 - 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/5 - 13/5. LCD = 5. Result = -12/5.\n</reasoning>\nFinal Answer: -12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 + 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/13 + 6/14. Common denominator = 91. Result = 88/91.\n</reasoning>\nFinal Answer: 88/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [85, 13, 68, 20, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 200/5 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -121 ÷ 541"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -121 by 541. -121 ÷ 541 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 870 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 870 × (1 + 35/100) = 870 × 1.35 = 1174.5.\n</reasoning>\nFinal Answer: 1174.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 / 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/4) ÷ (6/20) = (18/4) × (20/6) = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 186?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 186 = (15/100) × 186 = 27.9.\n</reasoning>\nFinal Answer: 27.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 12 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 12 × 23 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 109 km/h. How far does it travel in 8 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 52/60 = 8.8667 hours. Distance = speed × time = 109 × 8.8667 = 966.4667 km.\n</reasoning>\nFinal Answer: 966.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 25, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 25 + 38 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 5) * (20 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+5)=35, (20-18)=2, then 35×2=70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 7, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (16-1)×7 = 35 + 105 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 * 16/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/10) × (16/20) = (48/200) = 6/25 after simplification.\n</reasoning>\nFinal Answer: 6/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 - 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/1 - 8/12. LCD = 3. Result = 37/3.\n</reasoning>\nFinal Answer: 37/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×15)/1 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -389 + -648"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -389 and -648: -389 + -648 = -1037.\n</reasoning>\nFinal Answer: -1037"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -227 + -391"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -227 and -391: -227 + -391 = -618.\n</reasoning>\nFinal Answer: -618"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 - 2/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/16 - 2/17. LCD = 272. Result = 121/272.\n</reasoning>\nFinal Answer: 121/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 25 = 1675.\n</reasoning>\nFinal Answer: 1675"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 786 mod 224"
},
{
"role": "assistant",
"content": "<reasoning>\n786 mod 224: 786 = 224 × 3 + 114, so remainder = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 55, 95, 100, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 55: 1, 95: 1, 100: 1, 29: 1}. Most frequent: [6, 55, 95, 100, 29].\n</reasoning>\nFinal Answer: [6, 55, 95, 100, 29]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -15 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 2x = 26. Divide by 2: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:47 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/47, so B = A × (47/5) = 79 × 47/5 = 742.6.\n</reasoning>\nFinal Answer: 742.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:43 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/43, so B = A × (43/38) = 78 × 43/38 = 88.2632.\n</reasoning>\nFinal Answer: 88.2632"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×32)/2 = 672.\n</reasoning>\nFinal Answer: 672"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 45 = 2115.\n</reasoning>\nFinal Answer: 2115"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 * 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/5) × (6/14) = (96/70) = 48/35 after simplification.\n</reasoning>\nFinal Answer: 48/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 236 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 236 × (1 - 10/100) = 236 × 0.9 = 212.4.\n</reasoning>\nFinal Answer: 212.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 7, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (40-1)×7 = 36 + 273 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:4 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/4, so B = A × (4/33) = 31 × 4/33 = 3.7576.\n</reasoning>\nFinal Answer: 3.7576"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -876 ÷ -967"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -876 by -967. -876 ÷ -967 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 17, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (11-1)×17 = 49 + 170 = 219.\n</reasoning>\nFinal Answer: 219"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 69 = 897.\n</reasoning>\nFinal Answer: 897"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -805 × 137"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -805 by 137: -805 × 137 = -110285.\n</reasoning>\nFinal Answer: -110285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 31, 18, 17, 84, 24, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 17 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -395 + -926"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -395 and -926: -395 + -926 = -1321.\n</reasoning>\nFinal Answer: -1321"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 179 km apart. Their speeds are 71 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+67=138 km/h. Time = 179/138 = 1.2971 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 6 = -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 1x = -30. Divide by 1: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 15 ÷ 517"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 15 by 517. 15 ÷ 517 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 11, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (30-1)×11 = 2 + 319 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 29 = -413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 26x = -442. Divide by 26: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 42) * (9 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+42)=65, (9-10)=-1, then 65×-1=-65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 31) * (38 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+31)=58, (38-10)=28, then 58×28=1624.\n</reasoning>\nFinal Answer: 1624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 12 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+12) × 45 = 1102.5.\n</reasoning>\nFinal Answer: 1102.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 25) * (36 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+25)=57, (36-33)=3, then 57×3=171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 + 12/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/1 + 12/11. Common denominator = 11. Result = 221/11.\n</reasoning>\nFinal Answer: 221/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 88 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 88 × 36 = 3168.\n</reasoning>\nFinal Answer: 3168"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 151 + 9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 151 and 9: 151 + 9 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:47 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/47, so B = A × (47/29) = 97 × 47/29 = 157.2069.\n</reasoning>\nFinal Answer: 157.2069"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 926 × 822"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 926 by 822: 926 × 822 = 761172.\n</reasoning>\nFinal Answer: 761172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 36 apples and buys 20 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 36 + 20 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 18, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (18-1)×18 = 24 + 306 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 2, 21, 4, 72, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 2 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 46, 42, 50, 37, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 37, 42, 46, 50, 91]. Middle value(s) → median = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 81 + 833"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 81 and 833: 81 + 833 = 914.\n</reasoning>\nFinal Answer: 914"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 324 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 324 × (1 - 90/100) = 324 × 0.09999999999999998 = 32.4.\n</reasoning>\nFinal Answer: 32.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 29 * 45 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×45=1305, then 30+1305-41=1294.\n</reasoning>\nFinal Answer: 1294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 42 = -57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 9x = -99. Divide by 9: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 4, 50, 48, 38, 81, 24, 15, 36, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 415/10 = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -834 + 281"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -834 and 281: -834 + 281 = -553.\n</reasoning>\nFinal Answer: -553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -44 = 36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 20x = 80. Divide by 20: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:24 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/24, so B = A × (24/17) = 12 × 24/17 = 16.9412.\n</reasoning>\nFinal Answer: 16.9412"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -789 mod -701"
},
{
"role": "assistant",
"content": "<reasoning>\n-789 mod -701: -789 = -701 × 1 + -88, so remainder = -88.\n</reasoning>\nFinal Answer: -88"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 479 × -760"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 479 by -760: 479 × -760 = -364040.\n</reasoning>\nFinal Answer: -364040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 33 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 29+1089-12=1106.\n</reasoning>\nFinal Answer: 1106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42324 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42324 × 19 × 7 / 100 = 56290.92.\n</reasoning>\nFinal Answer: 56290.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "83 is what percentage of 124?"
},
{
"role": "assistant",
"content": "<reasoning>\n(83/124) × 100 = 66.9355%.\n</reasoning>\nFinal Answer: 66.9355%"
}
] | medium | [
"percentage",
"ratio"
] |
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