messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 4x + -4 = -144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 4x = -140. Divide by 4: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 / 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/4) ÷ (3/10) = (11/4) × (10/3) = 55/6.\n</reasoning>\nFinal Answer: 55/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 55, 60, 34, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 296/5 = 59.2.\n</reasoning>\nFinal Answer: 59.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 77 km/h. How far does it travel in 12 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 55/60 = 12.9167 hours. Distance = speed × time = 77 × 12.9167 = 994.5833 km.\n</reasoning>\nFinal Answer: 994.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the square root of 841."
},
{
"role": "assistant",
"content": "<reasoning>\n√841 = 29 because 29² = 841.\n</reasoning>\nFinal Answer: 29"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 9, 48, 70, 40, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 9 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -994 - -148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -148 from -994: -994 - -148 = -846.\n</reasoning>\nFinal Answer: -846"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -335 mod -196"
},
{
"role": "assistant",
"content": "<reasoning>\n-335 mod -196: -335 = -196 × 1 + -139, so remainder = -139.\n</reasoning>\nFinal Answer: -139"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 903 × 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 903 by 36: 903 × 36 = 32508.\n</reasoning>\nFinal Answer: 32508"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 / 4/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/7) ÷ (4/4) = (4/7) × (4/4) = 4/7.\n</reasoning>\nFinal Answer: 4/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -3 = 347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 14x = 350. Divide by 14: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 8 = -132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 20x = -140. Divide by 20: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 13, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (21-1)×13 = 50 + 260 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -4 = -188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 23x = -184. Divide by 23: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 39 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 39 × 24 = 468.0.\n</reasoning>\nFinal Answer: 468.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 24, 69, 59, 98, 19, 31, 97, 99, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 24, 31, 40, 59, 69, 88, 97, 98, 99]. Middle value(s) → median = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (3)x + (-168) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 3² - 4×3×-168 = 2025. √discriminant = 45. x = (-(3) ± 45) / (2×3). Solutions: x = -8 or x = 7.\n</reasoning>\nFinal Answer: x = -8 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 37 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+37) × 2 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 54 + -827"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 54 and -827: 54 + -827 = -773.\n</reasoning>\nFinal Answer: -773"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 41 = 1141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 25x = 1100. Divide by 25: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×39)/1 = 780.\n</reasoning>\nFinal Answer: 780"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -31 = -116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 5x = -85. Divide by 5: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:45 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/45, so B = A × (45/5) = 8 × 45/5 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39827 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39827 × 10 × 6 / 100 = 23896.2.\n</reasoning>\nFinal Answer: 23896.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 17) * (7 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+17)=33, (7-26)=-19, then 33×-19=-627.\n</reasoning>\nFinal Answer: -627"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3936. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3936 × 18/100 = 708.48. Total = 3936 + 708.48 = 4644.48.\n</reasoning>\nFinal Answer: 4644.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 692 × -757"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 692 by -757: 692 × -757 = -523844.\n</reasoning>\nFinal Answer: -523844"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:39 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/39, so B = A × (39/18) = 51 × 39/18 = 110.5.\n</reasoning>\nFinal Answer: 110.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 325 - -688"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -688 from 325: 325 - -688 = 1013.\n</reasoning>\nFinal Answer: 1013"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 645 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 645 × (1 - 40/100) = 645 × 0.6 = 387.0.\n</reasoning>\nFinal Answer: 387.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 7] and B = [2, 7, 8, 9, 12, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 8, 9, 12, 16].\n</reasoning>\nFinal Answer: [1, 4, 8,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹3943. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3943 × 28/100 = 1104.04. Total = 3943 + 1104.04 = 5047.04.\n</reasoning>\nFinal Answer: 5047.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 9 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 9 = 135 worker-days. New time = 135 / 6 = 22.5 days.\n</reasoning>\nFinal Answer: 22.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-32)x + (-36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -32² - 4×4×-36 = 1600. √discriminant = 40. x = (-(-32) ± 40) / (2×4). Solutions: x = 9 or x = -1.\n</reasoning>\nFinal Answer: x = 9 or x = -1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -15 = 585"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 15x = 600. Divide by 15: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 90 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(90+87) = 2×177 = 354.\n</reasoning>\nFinal Answer: 354"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [34, 49, 64, 79, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 34 and common difference 15. Next term = 94 + 15 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 939 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 939 × (1 - 35/100) = 939 × 0.65 = 610.35.\n</reasoning>\nFinal Answer: 610.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:44 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/44, so B = A × (44/34) = 62 × 44/34 = 80.2353.\n</reasoning>\nFinal Answer: 80.2353"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 9, 18, 19] and B = [2, 5, 6, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 6, 9, 13, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 5, 6, 9, 13, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 72 = 7200.\n</reasoning>\nFinal Answer: 7200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 630 - 328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 328 from 630: 630 - 328 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 49. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 49² = π × 2401 ≈ 7542.964.\n</reasoning>\nFinal Answer: 7542.964"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 48, 100, 3, 40, 22, 97, 22, 62, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 48: 1, 100: 1, 3: 1, 40: 1, 22: 2, 97: 1, 62: 1, 37: 1}. Most frequent: 22.\n</reasoning>\nFinal Answer: 22"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 / 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/17) ÷ (3/9) = (9/17) × (9/3) = 27/17.\n</reasoning>\nFinal Answer: 27/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -19 = -127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 6x = -108. Divide by 6: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47836 at 4% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47836 × 4 × 2 / 100 = 3826.88.\n</reasoning>\nFinal Answer: 3826.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 47 + 36 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×47=611 and 36×33=1188, then add: 1799.\n</reasoning>\nFinal Answer: 1799"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 564 - -190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -190 from 564: 564 - -190 = 754.\n</reasoning>\nFinal Answer: 754"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 1) * (45 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+1)=31, (45-6)=39, then 31×39=1209.\n</reasoning>\nFinal Answer: 1209"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27731 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27731 × 14 × 6 / 100 = 23294.04.\n</reasoning>\nFinal Answer: 23294.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 * 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/6) × (5/5) = (15/30) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 25 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 25 = 150 worker-days. New time = 150 / 4 = 37.5 days.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 825 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 825 × (1 + 100/100) = 825 × 2.0 = 1650.0.\n</reasoning>\nFinal Answer: 1650.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -35 = 339"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 11x = 374. Divide by 11: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+67) = 2×105 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 20) * (2 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+20)=61, (2-15)=-13, then 61×-13=-793.\n</reasoning>\nFinal Answer: -793"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 75 = 3225.0.\n</reasoning>\nFinal Answer: 3225.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 10, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (36-1)×10 = 44 + 350 = 394.\n</reasoning>\nFinal Answer: 394"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 477 mod 477"
},
{
"role": "assistant",
"content": "<reasoning>\n477 mod 477: 477 = 477 × 1 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 192 × 321"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 192 by 321: 192 × 321 = 61632.\n</reasoning>\nFinal Answer: 61632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 302 - 644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 644 from 302: 302 - 644 = -342.\n</reasoning>\nFinal Answer: -342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -23 = 457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 15x = 480. Divide by 15: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -612 - 396"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 396 from -612: -612 - 396 = -1008.\n</reasoning>\nFinal Answer: -1008"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 183 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(183,100) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:40 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/40, so B = A × (40/22) = 61 × 40/22 = 110.9091.\n</reasoning>\nFinal Answer: 110.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 50, 70, 1, 3, 36, 18, 47, 50, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 1 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 13, 59, 48, 68, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 13 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -48 = -751"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 19x = -703. Divide by 19: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 149 apples and buys 148 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 149 + 148 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 75 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 75 × 15 = 1125.\n</reasoning>\nFinal Answer: 1125"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 48) * (50 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+48)=75, (50-48)=2, then 75×2=150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2187. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2187 × 28/100 = 612.36. Total = 2187 + 612.36 = 2799.36.\n</reasoning>\nFinal Answer: 2799.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -7 = -199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 6x = -192. Divide by 6: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -6 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 7x = 77. Divide by 7: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 95 = 3515.\n</reasoning>\nFinal Answer: 3515"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 24) * (16 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+24)=42, (16-37)=-21, then 42×-21=-882.\n</reasoning>\nFinal Answer: -882"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 48, 6, 10, 12, 23, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 58 - 6 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -979 × 803"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -979 by 803: -979 × 803 = -786137.\n</reasoning>\nFinal Answer: -786137"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17406 at 13% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17406 × 13 × 10 / 100 = 22627.8.\n</reasoning>\nFinal Answer: 22627.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10119 at 1% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10119 × 1 × 10 / 100 = 1011.9.\n</reasoning>\nFinal Answer: 1011.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (10)x + (-48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×2×-48 = 484. √discriminant = 22. x = (-(10) ± 22) / (2×2). Solutions: x = -8 or x = 3.\n</reasoning>\nFinal Answer: x = -8 or x = 3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 1 = -181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 26x = -182. Divide by 26: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -34 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 5x = 35. Divide by 5: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 794 ÷ 6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 794 by 6. 794 ÷ 6 = 132 (integer division).\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 24 * 26 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×26=624, then 42+624-2=664.\n</reasoning>\nFinal Answer: 664"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 16 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 29+256-31=254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 879 km apart. Their speeds are 63 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 63+63=126 km/h. Time = 879/126 = 6.9762 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 - 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/13 - 11/18. LCD = 234. Result = -17/234.\n</reasoning>\nFinal Answer: -17/234"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:17 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/17, so B = A × (17/33) = 13 × 17/33 = 6.697.\n</reasoning>\nFinal Answer: 6.697"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 5 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(5+35) = 2×40 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -701 mod -712"
},
{
"role": "assistant",
"content": "<reasoning>\n-701 mod -712: -701 = -712 × 0 + -701, so remainder = -701.\n</reasoning>\nFinal Answer: -701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 98 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(98,20) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 23 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 38+529-41=526.\n</reasoning>\nFinal Answer: 526"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 20 = 1920.\n</reasoning>\nFinal Answer: 1920"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 10) * (35 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+10)=56, (35-35)=0, then 56×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 23 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 23 = 345 worker-days. New time = 345 / 14 = 24.6429 days.\n</reasoning>\nFinal Answer: 24.6429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -21 = -642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 23x = -621. Divide by 23: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 8 = -360"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 16x = -368. Divide by 16: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1784. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1784 × 12/100 = 214.08. Total = 1784 + 214.08 = 1998.08.\n</reasoning>\nFinal Answer: 1998.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
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