messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 22x + 7 = 953"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 22x = 946. Divide by 22: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -951 ÷ -427"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -951 by -427. -951 ÷ -427 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -122 + -518"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -122 and -518: -122 + -518 = -640.\n</reasoning>\nFinal Answer: -640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 10, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (45-1)×10 = 27 + 440 = 467.\n</reasoning>\nFinal Answer: 467"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -11 = 686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 17x = 697. Divide by 17: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 13, and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 13 + 18 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 4, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (18-1)×4 = 2 + 68 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1507. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1507 × 5/100 = 75.35. Total = 1507 + 75.35 = 1582.35.\n</reasoning>\nFinal Answer: 1582.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:44 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/44, so B = A × (44/27) = 69 × 44/27 = 112.4444.\n</reasoning>\nFinal Answer: 112.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹4555. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4555 × 28/100 = 1275.4. Total = 4555 + 1275.4 = 5830.4.\n</reasoning>\nFinal Answer: 5830.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:2 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/2, so B = A × (2/42) = 45 × 2/42 = 2.1429.\n</reasoning>\nFinal Answer: 2.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -15 = 365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 20x = 380. Divide by 20: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×34)/2 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [5, 11, 12] and B = [1, 3, 4, 10], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 10, 11, 12].\n</reasoning>\nFinal Answer: [1, 3, 4, 5, 10, 11, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 * 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/17) × (1/14) = (4/238) = 2/119 after simplification.\n</reasoning>\nFinal Answer: 2/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 650 + -201"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 650 and -201: 650 + -201 = 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 616?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 616 = (7/100) × 616 = 43.12.\n</reasoning>\nFinal Answer: 43.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 51, 8, 36, 91, 20, 48, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 1, 51: 1, 8: 1, 36: 1, 91: 1, 20: 1, 48: 1, 59: 1}. Most frequent: [93, 51, 8, 36, 91, 20, 48, 59].\n</reasoning>\nFinal Answer: [93, 51, 8,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 45 = 1597.5.\n</reasoning>\nFinal Answer: 1597.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 39 * 13 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×13=507, then 35+507-6=536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 10 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+10) × 4 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 1 = -662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 17x = -663. Divide by 17: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 61 = 305.\n</reasoning>\nFinal Answer: 305"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 43, 13, 3, 96, 27, 40, 78, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 43: 1, 13: 1, 3: 1, 96: 1, 27: 1, 40: 1, 78: 1, 26: 1}. Most frequent: [57, 43, 13, 3, 96, 27, 40, 78, 26].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 57, 47, 82, 40, 36, 55, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 471/8 = 58.875.\n</reasoning>\nFinal Answer: 58.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 26, 71, 96, 96, 22, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 26: 1, 71: 1, 96: 2, 22: 1, 25: 1}. Most frequent: 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:24 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/24, so B = A × (24/18) = 43 × 24/18 = 57.3333.\n</reasoning>\nFinal Answer: 57.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 362 + 781"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 362 and 781: 362 + 781 = 1143.\n</reasoning>\nFinal Answer: 1143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -125 + 379"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -125 and 379: -125 + 379 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 / 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/5) ÷ (15/13) = (12/5) × (13/15) = 52/25.\n</reasoning>\nFinal Answer: 52/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -49 = 951"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 25x = 1000. Divide by 25: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 12, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (17-1)×12 = 42 + 192 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 853 - -732"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -732 from 853: 853 - -732 = 1585.\n</reasoning>\nFinal Answer: 1585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 77 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 77 × (1 + 35/100) = 77 × 1.35 = 103.95.\n</reasoning>\nFinal Answer: 103.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 894 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 894 × (1 + 90/100) = 894 × 1.9 = 1698.6.\n</reasoning>\nFinal Answer: 1698.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 15 and 95."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(15,95) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 828 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 828 × (1 + 100/100) = 828 × 2.0 = 1656.0.\n</reasoning>\nFinal Answer: 1656.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 14, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (30-1)×14 = 41 + 406 = 447.\n</reasoning>\nFinal Answer: 447"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 19 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+19) × 10 = 145.0.\n</reasoning>\nFinal Answer: 145.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 683 ÷ 399"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 683 by 399. 683 ÷ 399 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -6 = 284"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 10x = 290. Divide by 10: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 25) * (2 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+25)=35, (2-42)=-40, then 35×-40=-1400.\n</reasoning>\nFinal Answer: -1400"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (12)x + (-16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×4×-16 = 400. √discriminant = 20. x = (-(12) ± 20) / (2×4). Solutions: x = 1 or x = -4.\n</reasoning>\nFinal Answer: x = 1 or x = -4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 28 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+28) × 12 = 246.0.\n</reasoning>\nFinal Answer: 246.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -574 - -575"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -575 from -574: -574 - -575 = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 12 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 22/60 = 12.3667 hours. Distance = speed × time = 92 × 12.3667 = 1137.7333 km.\n</reasoning>\nFinal Answer: 1137.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 57, 43, 98, 95, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 43 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 65% of 686?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 686 = (65/100) × 686 = 445.9.\n</reasoning>\nFinal Answer: 445.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 25) * (25 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+25)=51, (25-9)=16, then 51×16=816.\n</reasoning>\nFinal Answer: 816"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:4 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/4, so B = A × (4/45) = 41 × 4/45 = 3.6444.\n</reasoning>\nFinal Answer: 3.6444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 3) * (50 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+3)=30, (50-25)=25, then 30×25=750.\n</reasoning>\nFinal Answer: 750"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 18 = 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 2x = 82. Divide by 2: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:21 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/21, so B = A × (21/5) = 44 × 21/5 = 184.8.\n</reasoning>\nFinal Answer: 184.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹740. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 740 × 28/100 = 207.2. Total = 740 + 207.2 = 947.2.\n</reasoning>\nFinal Answer: 947.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 15 = 169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 14x = 154. Divide by 14: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 38 = -187"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 9x = -225. Divide by 9: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 44 = -226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 18x = -270. Divide by 18: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 47 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 47 × 38 = 893.0.\n</reasoning>\nFinal Answer: 893.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 795 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 795 × (1 + 40/100) = 795 × 1.4 = 1113.0.\n</reasoning>\nFinal Answer: 1113.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 133 mod -99"
},
{
"role": "assistant",
"content": "<reasoning>\n133 mod -99: 133 = -99 × -2 + -65, so remainder = -65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 659 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 659 × (1 - 7/100) = 659 × 0.9299999999999999 = 612.87.\n</reasoning>\nFinal Answer: 612.87"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 / 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/7) ÷ (16/2) = (15/7) × (2/16) = 15/56.\n</reasoning>\nFinal Answer: 15/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 14 = 119.0.\n</reasoning>\nFinal Answer: 119.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 30, 40, 50, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 10. Next term = 60 + 10 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -49 = 444"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 29x = 493. Divide by 29: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 10 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 17+100-18=99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 747 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 747 × (1 - 30/100) = 747 × 0.7 = 522.9.\n</reasoning>\nFinal Answer: 522.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 4 = -942"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 22x = -946. Divide by 22: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 4 = -238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 11x = -242. Divide by 11: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 172 km apart. Their speeds are 85 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+85=170 km/h. Time = 172/170 = 1.0118 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 30 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 30 = 60 worker-days. New time = 60 / 9 = 6.6667 days.\n</reasoning>\nFinal Answer: 6.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 640 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 640 × (1 + 12/100) = 640 × 1.12 = 716.8.\n</reasoning>\nFinal Answer: 716.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -16 = -42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 26x = -26. Divide by 26: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 49 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 49 × 24 = 1176.\n</reasoning>\nFinal Answer: 1176"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 19, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (31-1)×19 = 34 + 570 = 604.\n</reasoning>\nFinal Answer: 604"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 84 apples and buys 37 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 84 + 37 = 121.\n</reasoning>\nFinal Answer: 121"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 55, 66, 10, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 155/5 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -571 × -130"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -571 by -130: -571 × -130 = 74230.\n</reasoning>\nFinal Answer: 74230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 56 = 3304.\n</reasoning>\nFinal Answer: 3304"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 704 - 494"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 494 from 704: 704 - 494 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 * 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/5) × (16/7) = (272/35) = 272/35 after simplification.\n</reasoning>\nFinal Answer: 272/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 9, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (50-1)×9 = 45 + 441 = 486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 23 = 179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 13x = 156. Divide by 13: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 812 - -776"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -776 from 812: 812 - -776 = 1588.\n</reasoning>\nFinal Answer: 1588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 331 × -548"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 331 by -548: 331 × -548 = -181388.\n</reasoning>\nFinal Answer: -181388"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 97 km/h. How far does it travel in 5 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 2/60 = 5.0333 hours. Distance = speed × time = 97 × 5.0333 = 488.2333 km.\n</reasoning>\nFinal Answer: 488.2333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-2)x + (-8) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×1×-8 = 36. √discriminant = 6. x = (-(-2) ± 6) / (2×1). Solutions: x = -2 or x = 4.\n</reasoning>\nFinal Answer: x = -2 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 / 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/8) ÷ (15/10) = (16/8) × (10/15) = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 797 km apart. Their speeds are 90 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+89=179 km/h. Time = 797/179 = 4.4525 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 1 = -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 22x = -22. Divide by 22: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 - 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/12 - 12/17. LCD = 68. Result = -31/68.\n</reasoning>\nFinal Answer: -31/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:4 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/4, so B = A × (4/45) = 5 × 4/45 = 0.4444.\n</reasoning>\nFinal Answer: 0.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -423 - 709"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 709 from -423: -423 - 709 = -1132.\n</reasoning>\nFinal Answer: -1132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 158 and 194."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(158,194) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 39 + 41 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×39=1677 and 41×11=451, then add: 2128.\n</reasoning>\nFinal Answer: 2128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [11, 12, 14, 15, 17] and B = [3, 5, 8, 11, 12, 13, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11, 12, 17].\n</reasoning>\nFinal Answer: [11, 12, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 11 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 11 = 154 worker-days. New time = 154 / 9 = 17.1111 days.\n</reasoning>\nFinal Answer: 17.1111"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 657 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 657 × (1 + 15/100) = 657 × 1.15 = 755.55.\n</reasoning>\nFinal Answer: 755.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -27 = -559"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 19x = -532. Divide by 19: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -17 + -933"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -17 and -933: -17 + -933 = -950.\n</reasoning>\nFinal Answer: -950"
}
] | medium | [
"arithmetic",
"computation"
] |
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