messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 49) * (29 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+49)=71, (29-1)=28, then 71×28=1988.\n</reasoning>\nFinal Answer: 1988"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -69 × 704"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -69 by 704: -69 × 704 = -48576.\n</reasoning>\nFinal Answer: -48576"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 * 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/6) × (15/2) = (105/12) = 35/4 after simplification.\n</reasoning>\nFinal Answer: 35/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -26 = -501"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 25x = -475. Divide by 25: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 4, 7, 16, 19] and B = [4, 6, 7, 11], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 3, 16, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 38 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 38 × 69 = 2622.\n</reasoning>\nFinal Answer: 2622"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21100 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21100 × 17 × 4 / 100 = 14348.0.\n</reasoning>\nFinal Answer: 14348.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 - 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/12 - 5/9. LCD = 9. Result = 4/9.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 662 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 662 × (1 + 7/100) = 662 × 1.07 = 708.34.\n</reasoning>\nFinal Answer: 708.34"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -25 = -169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 6x = -144. Divide by 6: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 27 = 2646.\n</reasoning>\nFinal Answer: 2646"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 22 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 40+484-2=522.\n</reasoning>\nFinal Answer: 522"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -49 = -569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 20x = -520. Divide by 20: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 3% of 746?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 746 = (3/100) × 746 = 22.38.\n</reasoning>\nFinal Answer: 22.38"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -414 ÷ -651"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -414 by -651. -414 ÷ -651 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49243 at 7% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49243 × 7 × 4 / 100 = 13788.04.\n</reasoning>\nFinal Answer: 13788.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 18 = 502"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 22x = 484. Divide by 22: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 12 = -3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 5x = -15. Divide by 5: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 7 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 364 mod -160"
},
{
"role": "assistant",
"content": "<reasoning>\n364 mod -160: 364 = -160 × -3 + -116, so remainder = -116.\n</reasoning>\nFinal Answer: -116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -873 ÷ -859"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -873 by -859. -873 ÷ -859 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 37 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 36+1369-37=1368.\n</reasoning>\nFinal Answer: 1368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-8)x + (-20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×1×-20 = 144. √discriminant = 12. x = (-(-8) ± 12) / (2×1). Solutions: x = 10 or x = -2.\n</reasoning>\nFinal Answer: x = 10 or x = -2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 * 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/4) × (2/13) = (22/52) = 11/26 after simplification.\n</reasoning>\nFinal Answer: 11/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/12 * 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/12) × (18/5) = (270/60) = 9/2 after simplification.\n</reasoning>\nFinal Answer: 9/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 2 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 16+4-1=19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 733 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 733 × (1 - 5/100) = 733 × 0.95 = 696.35.\n</reasoning>\nFinal Answer: 696.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [60, 75, 2, 97, 67, 15, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 15, 60, 67, 75, 85, 97]. Middle value(s) → median = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 315 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 315 × (1 - 3/100) = 315 × 0.97 = 305.55.\n</reasoning>\nFinal Answer: 305.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 626 + 925"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 626 and 925: 626 + 925 = 1551.\n</reasoning>\nFinal Answer: 1551"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -46 = 674"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 30x = 720. Divide by 30: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:32 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/32, so B = A × (32/33) = 62 × 32/33 = 60.1212.\n</reasoning>\nFinal Answer: 60.1212"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 59, 46, 22, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 46, 46, 59, 86]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [44, 58, 72, 86, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 44 and common difference 14. Next term = 100 + 14 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 466 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 466 × (1 + 65/100) = 466 × 1.65 = 768.9.\n</reasoning>\nFinal Answer: 768.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 119 km/h. How far does it travel in 11 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 54/60 = 11.9000 hours. Distance = speed × time = 119 × 11.9000 = 1416.1 km.\n</reasoning>\nFinal Answer: 1416.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 86 = 8084.\n</reasoning>\nFinal Answer: 8084"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25656 at 15% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25656 × 15 × 10 / 100 = 38484.0.\n</reasoning>\nFinal Answer: 38484.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 110 × -625"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 110 by -625: 110 × -625 = -68750.\n</reasoning>\nFinal Answer: -68750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:35 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/35, so B = A × (35/12) = 32 × 35/12 = 93.3333.\n</reasoning>\nFinal Answer: 93.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 88, 93, 8, 18, 73, 31, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 18, 21, 31, 73, 88, 93, 93]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 48) * (35 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+48)=61, (35-42)=-7, then 61×-7=-427.\n</reasoning>\nFinal Answer: -427"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -45 = -117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 2x = -72. Divide by 2: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 28 = -962"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 30x = -990. Divide by 30: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 154 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(154,20) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 45 and 164."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(45,164) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -23 = 1097"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 28x = 1120. Divide by 28: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 243 × -445"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 243 by -445: 243 × -445 = -108135.\n</reasoning>\nFinal Answer: -108135"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 46, 54, 26, 45, 79, 83, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 441/8 = 55.125.\n</reasoning>\nFinal Answer: 55.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 4/20 / 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/20) ÷ (9/11) = (4/20) × (11/9) = 11/45.\n</reasoning>\nFinal Answer: 11/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 32 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(32+39) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 987 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 987 × (1 + 3/100) = 987 × 1.03 = 1016.61.\n</reasoning>\nFinal Answer: 1016.61"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -3 = 317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 16x = 320. Divide by 16: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 100 + 420"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 100 and 420: 100 + 420 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 40 * 35 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×35=1400, then 1+1400-48=1353.\n</reasoning>\nFinal Answer: 1353"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 528 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 528 × (1 + 17/100) = 528 × 1.17 = 617.76.\n</reasoning>\nFinal Answer: 617.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 25 * 16 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×16=400, then 13+400-28=385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 56 = 1064.\n</reasoning>\nFinal Answer: 1064"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 * 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/6) × (9/13) = (180/78) = 30/13 after simplification.\n</reasoning>\nFinal Answer: 30/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×16)/1 = 496.\n</reasoning>\nFinal Answer: 496"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:13 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/13, so B = A × (13/34) = 81 × 13/34 = 30.9706.\n</reasoning>\nFinal Answer: 30.9706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 79 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(79+80) = 2×159 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [5, 15, 16] and B = [1, 2, 4, 5, 8, 9, 10, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 8, 9, 10, 15].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 44 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (44×22)/22 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 9, 11, 12] and B = [1, 2, 5, 12, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 7, 8, 9, 11, 12, 17].\n</reasoning>\nFinal Answer: [1, 2, 5, 7, 8, 9, 11, 12, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 7, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (32-1)×7 = 7 + 217 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 479 ÷ 512"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 479 by 512. 479 ÷ 512 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 157 apples and buys 164 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 157 + 164 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 406 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 406 × (1 - 25/100) = 406 × 0.75 = 304.5.\n</reasoning>\nFinal Answer: 304.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 47 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 48+2209-38=2219.\n</reasoning>\nFinal Answer: 2219"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 371 mod 604"
},
{
"role": "assistant",
"content": "<reasoning>\n371 mod 604: 371 = 604 × 0 + 371, so remainder = 371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 15 = -75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 10x = -90. Divide by 10: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 16 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 16 × 45 = 720.\n</reasoning>\nFinal Answer: 720"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/19 / 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/19) ÷ (11/1) = (12/19) × (1/11) = 12/209.\n</reasoning>\nFinal Answer: 12/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (18)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×2×0 = 324. √discriminant = 18. x = (-(18) ± 18) / (2×2). Solutions: x = -9 or x = 0.\n</reasoning>\nFinal Answer: x = -9 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 + 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/6 + 9/14. Common denominator = 42. Result = 38/21.\n</reasoning>\nFinal Answer: 38/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 11 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+11) × 40 = 1000.0.\n</reasoning>\nFinal Answer: 1000.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 195 apples and buys 138 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 195 + 138 = 333.\n</reasoning>\nFinal Answer: 333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 30 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+30) × 15 = 555.0.\n</reasoning>\nFinal Answer: 555.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 825 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 825 × (1 + 20/100) = 825 × 1.2 = 990.0.\n</reasoning>\nFinal Answer: 990.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 10 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 1/11 = 0.0909.\n</reasoning>\nFinal Answer: 0.0909"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -29 = -113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 12x = -84. Divide by 12: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -304 ÷ 607"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -304 by 607. -304 ÷ 607 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -904 mod -874"
},
{
"role": "assistant",
"content": "<reasoning>\n-904 mod -874: -904 = -874 × 1 + -30, so remainder = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -5 = -382"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 29x = -377. Divide by 29: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 8 = 452"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 12x = 444. Divide by 12: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 45 * 17 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×17=765, then 2+765-22=745.\n</reasoning>\nFinal Answer: 745"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 364 mod -190"
},
{
"role": "assistant",
"content": "<reasoning>\n364 mod -190: 364 = -190 × -2 + -16, so remainder = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 * 14/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/12) × (14/18) = (98/216) = 49/108 after simplification.\n</reasoning>\nFinal Answer: 49/108"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -394 + -2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -394 and -2: -394 + -2 = -396.\n</reasoning>\nFinal Answer: -396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 186 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(186,41) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:20 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/20, so B = A × (20/46) = 96 × 20/46 = 41.7391.\n</reasoning>\nFinal Answer: 41.7391"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 73 km/h. How far does it travel in 1 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 29/60 = 1.4833 hours. Distance = speed × time = 73 × 1.4833 = 108.2833 km.\n</reasoning>\nFinal Answer: 108.2833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 571 km apart. Their speeds are 114 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+70=184 km/h. Time = 571/184 = 3.1033 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:3 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/3, so B = A × (3/50) = 78 × 3/50 = 4.68.\n</reasoning>\nFinal Answer: 4.68"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -508 - 105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 105 from -508: -508 - 105 = -613.\n</reasoning>\nFinal Answer: -613"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 185 - 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 222 from 185: 185 - 222 = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 25 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 25 = 475 worker-days. New time = 475 / 11 = 43.1818 days.\n</reasoning>\nFinal Answer: 43.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 23, 32, 19, 5, 87, 41, 98, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 23: 1, 32: 1, 19: 1, 5: 1, 87: 1, 41: 1, 98: 1, 63: 1}. Most frequent: [46, 23, 32, 19, 5, 87, 41, 98, 63].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 440 - -496"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -496 from 440: 440 - -496 = 936.\n</reasoning>\nFinal Answer: 936"
}
] | medium | [
"arithmetic",
"computation"
] |
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