messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 1/5 * 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/5) × (11/15) = (11/75) = 11/75 after simplification.\n</reasoning>\nFinal Answer: 11/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -429 ÷ -46"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -429 by -46. -429 ÷ -46 = 9 (integer division).\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -821 mod -955"
},
{
"role": "assistant",
"content": "<reasoning>\n-821 mod -955: -821 = -955 × 0 + -821, so remainder = -821.\n</reasoning>\nFinal Answer: -821"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 69, 66, 56, 33, 68, 14, 72, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 69: 1, 66: 1, 56: 1, 33: 1, 68: 1, 14: 1, 72: 1, 78: 1}. Most frequent: [19, 69, 66, 56, 33, 68, 14, 72, 78].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:15 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/15, so B = A × (15/39) = 19 × 15/39 = 7.3077.\n</reasoning>\nFinal Answer: 7.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -49 = -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 14x = 28. Divide by 14: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 15% of 403?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 403 = (15/100) × 403 = 60.45.\n</reasoning>\nFinal Answer: 60.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 28 = 1036.\n</reasoning>\nFinal Answer: 1036"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 14 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 14 × 41 = 574.\n</reasoning>\nFinal Answer: 574"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/5 + 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/5 + 3/19. Common denominator = 95. Result = 167/95.\n</reasoning>\nFinal Answer: 167/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 46 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+46) × 26 = 1235.0.\n</reasoning>\nFinal Answer: 1235.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×34)/2 = 510.\n</reasoning>\nFinal Answer: 510"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -22 = 718"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 20x = 740. Divide by 20: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:4 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/4, so B = A × (4/11) = 63 × 4/11 = 22.9091.\n</reasoning>\nFinal Answer: 22.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 7, 8, 12] and B = [2, 6, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 7, 8, 12, 18].\n</reasoning>\nFinal Answer: [1, 7, 8, 12, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 + 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/12 + 19/14. Common denominator = 84. Result = 149/84.\n</reasoning>\nFinal Answer: 149/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -28 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 4x = 56. Divide by 4: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 249 + -73"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 249 and -73: 249 + -73 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 30 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 43+900-5=938.\n</reasoning>\nFinal Answer: 938"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 457 × -863"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 457 by -863: 457 × -863 = -394391.\n</reasoning>\nFinal Answer: -394391"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 8 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 8 = 32 worker-days. New time = 32 / 17 = 1.8824 days.\n</reasoning>\nFinal Answer: 1.8824"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 28 = 784.\n</reasoning>\nFinal Answer: 784"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 588 ÷ 222"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 588 by 222. 588 ÷ 222 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 469 + 386"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 469 and 386: 469 + 386 = 855.\n</reasoning>\nFinal Answer: 855"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 9 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 52/60 = 9.8667 hours. Distance = speed × time = 85 × 9.8667 = 838.6667 km.\n</reasoning>\nFinal Answer: 838.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 - 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/3 - 7/1. LCD = 3. Result = -4/3.\n</reasoning>\nFinal Answer: -4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3787. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3787 × 12/100 = 454.44. Total = 3787 + 454.44 = 4241.44.\n</reasoning>\nFinal Answer: 4241.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 - 4/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/14 - 4/18. LCD = 9. Result = 7/9.\n</reasoning>\nFinal Answer: 7/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:37 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/37, so B = A × (37/39) = 49 × 37/39 = 46.4872.\n</reasoning>\nFinal Answer: 46.4872"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -777 ÷ 534"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -777 by 534. -777 ÷ 534 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 179 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 179 + 102 = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 86 = 7654.\n</reasoning>\nFinal Answer: 7654"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:3 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/3, so B = A × (3/7) = 16 × 3/7 = 6.8571.\n</reasoning>\nFinal Answer: 6.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 17% of 698?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 698 = (17/100) × 698 = 118.66.\n</reasoning>\nFinal Answer: 118.66"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:45 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/45, so B = A × (45/26) = 46 × 45/26 = 79.6154.\n</reasoning>\nFinal Answer: 79.6154"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×37)/1 = 999.\n</reasoning>\nFinal Answer: 999"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 10 = -105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 5x = -115. Divide by 5: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹617. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 617 × 18/100 = 111.06. Total = 617 + 111.06 = 728.06.\n</reasoning>\nFinal Answer: 728.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 57 = 3933.\n</reasoning>\nFinal Answer: 3933"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 32, 51, 97, 57, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 16 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 / 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/4) ÷ (5/4) = (11/4) × (4/5) = 11/5.\n</reasoning>\nFinal Answer: 11/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 43, 93, 42, 57, 61, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 43: 1, 93: 1, 42: 1, 57: 1, 61: 1, 85: 1}. Most frequent: [35, 43, 93, 42, 57, 61, 85].\n</reasoning>\nFinal Answer: [35, 43, 93, 42, 57, 61... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 84 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 22 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 22 × 41 = 902.\n</reasoning>\nFinal Answer: 902"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -23 = -423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 25x = -400. Divide by 25: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 54 = 702.\n</reasoning>\nFinal Answer: 702"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 67 km/h. How far does it travel in 7 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 46/60 = 7.7667 hours. Distance = speed × time = 67 × 7.7667 = 520.3667 km.\n</reasoning>\nFinal Answer: 520.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -37 = -543"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 23x = -506. Divide by 23: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 / 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/7) ÷ (17/13) = (10/7) × (13/17) = 130/119.\n</reasoning>\nFinal Answer: 130/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 97, 50, 58, 32, 81, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 32 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 9/7 + 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/7 + 10/16. Common denominator = 56. Result = 107/56.\n</reasoning>\nFinal Answer: 107/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -37 = 91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 16x = 128. Divide by 16: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 12 * 7 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×7=84, then 15+84-5=94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 10. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 10 ≈ 62.8319.\n</reasoning>\nFinal Answer: 62.8319"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 - 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/13 - 5/3. LCD = 39. Result = -44/39.\n</reasoning>\nFinal Answer: -44/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -48 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 8x = 8. Divide by 8: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 75 = 3600.\n</reasoning>\nFinal Answer: 3600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 57, 63, 20, 88, 84, 4, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 57: 1, 63: 1, 20: 1, 88: 1, 84: 1, 4: 1, 39: 1}. Most frequent: [68, 57, 63, 20, 88, 84, 4, 39].\n</reasoning>\nFinal Answer: [68, 57, 63... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 47 = -457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 12x = -504. Divide by 12: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 51 apples and buys 42 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 51 + 42 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 2 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+2) × 23 = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 306 × 220"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 306 by 220: 306 × 220 = 67320.\n</reasoning>\nFinal Answer: 67320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -820 ÷ 166"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -820 by 166. -820 ÷ 166 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 7 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 8+49-23=34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 90 and 148."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(90,148) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 144 and 134."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(144,134) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 62 mod -88"
},
{
"role": "assistant",
"content": "<reasoning>\n62 mod -88: 62 = -88 × -1 + -26, so remainder = -26.\n</reasoning>\nFinal Answer: -26"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:36 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/36, so B = A × (36/38) = 49 × 36/38 = 46.4211.\n</reasoning>\nFinal Answer: 46.4211"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 49 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+49) × 11 = 418.0.\n</reasoning>\nFinal Answer: 418.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 44 = 264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 10x = 220. Divide by 10: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 99, 31, 72, 6, 70, 91, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 99: 1, 31: 1, 72: 2, 6: 1, 70: 1, 91: 1}. Most frequent: 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 173 km/h. How far does it travel in 3 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 14/60 = 3.2333 hours. Distance = speed × time = 173 × 3.2333 = 559.3667 km.\n</reasoning>\nFinal Answer: 559.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -35 = 361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 22x = 396. Divide by 22: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -27 = -321"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 14x = -294. Divide by 14: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 130 and 170."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(130,170) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 325 + 672"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 325 and 672: 325 + 672 = 997.\n</reasoning>\nFinal Answer: 997"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 52 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 52 × 21 = 1092.\n</reasoning>\nFinal Answer: 1092"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:30 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/30, so B = A × (30/40) = 72 × 30/40 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 13 = -614"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 19x = -627. Divide by 19: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 188 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 188 × (1 - 20/100) = 188 × 0.8 = 150.4.\n</reasoning>\nFinal Answer: 150.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 18, 35, 52, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 1 and common difference 17. Next term = 69 + 17 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -669 ÷ -444"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -669 by -444. -669 ÷ -444 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 95, 79, 67, 4, 48, 52, 51, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 39, 48, 51, 52, 67, 79, 93, 95]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 2 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 50+4-45=9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 23 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(23+57) = 2×80 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -898 + 399"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -898 and 399: -898 + 399 = -499.\n</reasoning>\nFinal Answer: -499"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 33 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 9+1089-35=1063.\n</reasoning>\nFinal Answer: 1063"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 10% of 936?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 936 = (10/100) × 936 = 93.6.\n</reasoning>\nFinal Answer: 93.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -7 = 315"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 23x = 322. Divide by 23: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 60% of 445?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 445 = (60/100) × 445 = 267.0.\n</reasoning>\nFinal Answer: 267.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:42 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/42, so B = A × (42/31) = 61 × 42/31 = 82.6452.\n</reasoning>\nFinal Answer: 82.6452"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 6 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 25x = -200. Divide by 25: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 78 = 7722.\n</reasoning>\nFinal Answer: 7722"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 + 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/12 + 5/8. Common denominator = 24. Result = 19/24.\n</reasoning>\nFinal Answer: 19/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 + 8/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/10 + 8/3. Common denominator = 15. Result = 43/15.\n</reasoning>\nFinal Answer: 43/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -10 = -240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 23x = -230. Divide by 23: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 11 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 23+121-38=106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 952 ÷ -659"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 952 by -659. 952 ÷ -659 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:35 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/35, so B = A × (35/44) = 64 × 35/44 = 50.9091.\n</reasoning>\nFinal Answer: 50.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 0 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 25x = 50. Divide by 25: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
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