messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 17/15 + 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/15 + 18/20. Common denominator = 30. Result = 61/30.\n</reasoning>\nFinal Answer: 61/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -62 + -541"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -62 and -541: -62 + -541 = -603.\n</reasoning>\nFinal Answer: -603"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 3 + 40 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×3=69 and 40×31=1240, then add: 1309.\n</reasoning>\nFinal Answer: 1309"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 / 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/7) ÷ (18/12) = (13/7) × (12/18) = 26/21.\n</reasoning>\nFinal Answer: 26/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 21, 39, 57, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 18. Next term = 75 + 18 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "83 is what percentage of 155?"
},
{
"role": "assistant",
"content": "<reasoning>\n(83/155) × 100 = 53.5484%.\n</reasoning>\nFinal Answer: 53.5484%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 13 = -659"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 21x = -672. Divide by 21: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 69, 24, 91, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 277/5 = 55.4.\n</reasoning>\nFinal Answer: 55.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 44 = 843"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 17x = 799. Divide by 17: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 7, 55, 89, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 7 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 734 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 734 × (1 - 17/100) = 734 × 0.83 = 609.22.\n</reasoning>\nFinal Answer: 609.22"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 10 = -374"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 24x = -384. Divide by 24: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 36 = -666"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 18x = -702. Divide by 18: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 35% of 342?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 342 = (35/100) × 342 = 119.7.\n</reasoning>\nFinal Answer: 119.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 693 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 693 × (1 + 17/100) = 693 × 1.17 = 810.81.\n</reasoning>\nFinal Answer: 810.81"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 21 + 19 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×21=567 and 19×5=95, then add: 662.\n</reasoning>\nFinal Answer: 662"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/8 * 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/8) × (11/13) = (66/104) = 33/52 after simplification.\n</reasoning>\nFinal Answer: 33/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:46 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/46, so B = A × (46/4) = 5 × 46/4 = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 18 + -444"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 18 and -444: 18 + -444 = -426.\n</reasoning>\nFinal Answer: -426"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 8, 9, 10, 12, 13, 18] and B = [1, 2, 10, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [8, 9, 12, 13, 17, 18, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 11, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (25-1)×11 = 30 + 264 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -527 ÷ -885"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -527 by -885. -527 ÷ -885 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -970 × -359"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -970 by -359: -970 × -359 = 348230.\n</reasoning>\nFinal Answer: 348230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -16 = 859"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 25x = 875. Divide by 25: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 3 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 21+9-44=-14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 892 ÷ 373"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 892 by 373. 892 ÷ 373 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -14 = -260"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 6x = -246. Divide by 6: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -7 = -943"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 24x = -936. Divide by 24: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -646 mod -735"
},
{
"role": "assistant",
"content": "<reasoning>\n-646 mod -735: -646 = -735 × 0 + -646, so remainder = -646.\n</reasoning>\nFinal Answer: -646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 17 * 42 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×42=714, then 11+714-28=697.\n</reasoning>\nFinal Answer: 697"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 79, 73, 41, 49, 20, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 20, 41, 49, 73, 79, 97]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 47 = -183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 10x = -230. Divide by 10: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 13, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (13-1)×13 = 15 + 156 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (16)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×2×30 = 16. √discriminant = 4. x = (-(16) ± 4) / (2×2). Solutions: x = -3 or x = -5.\n</reasoning>\nFinal Answer: x = -3 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 / 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/12) ÷ (20/15) = (19/12) × (15/20) = 19/16.\n</reasoning>\nFinal Answer: 19/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 366 mod -864"
},
{
"role": "assistant",
"content": "<reasoning>\n366 mod -864: 366 = -864 × -1 + -498, so remainder = -498.\n</reasoning>\nFinal Answer: -498"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -797 + -890"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -797 and -890: -797 + -890 = -1687.\n</reasoning>\nFinal Answer: -1687"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 18 = -276"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 7x = -294. Divide by 7: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 34 + 30 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×34=1700 and 30×40=1200, then add: 2900.\n</reasoning>\nFinal Answer: 2900"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 67 = 469.\n</reasoning>\nFinal Answer: 469"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -16 = -322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 9x = -306. Divide by 9: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3601. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3601 × 12/100 = 432.12. Total = 3601 + 432.12 = 4033.12.\n</reasoning>\nFinal Answer: 4033.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 + 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/17 + 16/1. Common denominator = 17. Result = 274/17.\n</reasoning>\nFinal Answer: 274/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 22 = 328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 17x = 306. Divide by 17: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 50 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 14x = 0. Divide by 14: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 8, 42, 31, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 54 - 8 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 - 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/11 - 1/8. LCD = 88. Result = 13/88.\n</reasoning>\nFinal Answer: 13/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 * 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/9) × (5/4) = (20/36) = 5/9 after simplification.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 25 + 9 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×25=900 and 9×36=324, then add: 1224.\n</reasoning>\nFinal Answer: 1224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 36 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+36) × 41 = 922.5.\n</reasoning>\nFinal Answer: 922.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -26 = 22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 24x = 48. Divide by 24: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 57 km/h. How far does it travel in 10 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 1/60 = 10.0167 hours. Distance = speed × time = 57 × 10.0167 = 570.95 km.\n</reasoning>\nFinal Answer: 570.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2620. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2620 × 5/100 = 131.0. Total = 2620 + 131.0 = 2751.0.\n</reasoning>\nFinal Answer: 2751.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 75."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 75 by smallest primes repeatedly: 75 = 3 × 5 × 5.\n</reasoning>\nFinal Answer: 3 × 5 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -153 + -108"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -153 and -108: -153 + -108 = -261.\n</reasoning>\nFinal Answer: -261"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:9 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/9, so B = A × (9/34) = 66 × 9/34 = 17.4706.\n</reasoning>\nFinal Answer: 17.4706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×14)/1 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 - 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/4 - 14/1. LCD = 2. Result = -23/2.\n</reasoning>\nFinal Answer: -23/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 28 = 163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 15x = 135. Divide by 15: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 37, 57, 79, 51, 80, 70, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 37: 1, 57: 1, 79: 1, 51: 1, 80: 1, 70: 1, 90: 1}. Most frequent: [83, 37, 57, 79, 51, 80, 70, 90].\n</reasoning>\nFinal Answer: [83, 37,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 55 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 55 × 50 = 1375.0.\n</reasoning>\nFinal Answer: 1375.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -587 mod 365"
},
{
"role": "assistant",
"content": "<reasoning>\n-587 mod 365: -587 = 365 × -2 + 143, so remainder = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4381. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4381 × 12/100 = 525.72. Total = 4381 + 525.72 = 4906.72.\n</reasoning>\nFinal Answer: 4906.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 7 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(7+1) = 2×8 = 16.\n</reasoning>\nFinal Answer: 16"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 18, and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 18 + 18 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 * 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/16) × (1/8) = (13/128) = 13/128 after simplification.\n</reasoning>\nFinal Answer: 13/128"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹106. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 106 × 5/100 = 5.3. Total = 106 + 5.3 = 111.3.\n</reasoning>\nFinal Answer: 111.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 50 = 662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 17x = 612. Divide by 17: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 3 = 13.5.\n</reasoning>\nFinal Answer: 13.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 4 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+4) × 2 = 18.0.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 37 = 615"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 17x = 578. Divide by 17: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 40 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 40 × (1 - 35/100) = 40 × 0.65 = 26.0.\n</reasoning>\nFinal Answer: 26.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 + 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/12 + 15/8. Common denominator = 8. Result = 17/8.\n</reasoning>\nFinal Answer: 17/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (1)x + (-72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 1² - 4×1×-72 = 289. √discriminant = 17. x = (-(1) ± 17) / (2×1). Solutions: x = 8 or x = -9.\n</reasoning>\nFinal Answer: x = 8 or x = -9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 46 apples and buys 22 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 46 + 22 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4034. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4034 × 5/100 = 201.7. Total = 4034 + 201.7 = 4235.7.\n</reasoning>\nFinal Answer: 4235.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 536 - -806"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -806 from 536: 536 - -806 = 1342.\n</reasoning>\nFinal Answer: 1342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 29."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 29 by smallest primes repeatedly: 29 = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "What is 3% of 517?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 517 = (3/100) × 517 = 15.51.\n</reasoning>\nFinal Answer: 15.51"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 * 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/18) × (20/13) = (40/234) = 20/117 after simplification.\n</reasoning>\nFinal Answer: 20/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 42) * (45 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+42)=80, (45-35)=10, then 80×10=800.\n</reasoning>\nFinal Answer: 800"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 36 = -300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 14x = -336. Divide by 14: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 603 + -143"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 603 and -143: 603 + -143 = 460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 19 = 172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 9x = 153. Divide by 9: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 20 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 44+400-12=432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 994 × 992"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 994 by 992: 994 × 992 = 986048.\n</reasoning>\nFinal Answer: 986048"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 82 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 82 × 72 = 2952.0.\n</reasoning>\nFinal Answer: 2952.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 117 km/h. How far does it travel in 11 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 5/60 = 11.0833 hours. Distance = speed × time = 117 × 11.0833 = 1296.75 km.\n</reasoning>\nFinal Answer: 1296.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 16, 16, 72, 25, 2, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 2 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 8, 13, 15, 16, 17] and B = [2, 3, 5, 6, 8, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 5, 6, 8, 13, 15, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -620 ÷ -150"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -620 by -150. -620 ÷ -150 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 21 = 421"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 10x = 400. Divide by 10: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 58, 91, 23, 42, 81, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 23 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -4 = 15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 1x = 19. Divide by 1: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1464. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1464 × 12/100 = 175.68. Total = 1464 + 175.68 = 1639.68.\n</reasoning>\nFinal Answer: 1639.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "414 is what percentage of 519?"
},
{
"role": "assistant",
"content": "<reasoning>\n(414/519) × 100 = 79.7688%.\n</reasoning>\nFinal Answer: 79.7688%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 + 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/6 + 17/13. Common denominator = 26. Result = 47/26.\n</reasoning>\nFinal Answer: 47/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 305 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 305 × (1 - 70/100) = 305 × 0.30000000000000004 = 91.5.\n</reasoning>\nFinal Answer: 91.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×17)/1 = 629.\n</reasoning>\nFinal Answer: 629"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:46 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/46, so B = A × (46/2) = 69 × 46/2 = 1587.0.\n</reasoning>\nFinal Answer: 1587.0"
}
] | medium | [
"ratio",
"proportion"
] |
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