messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 54, 66, 78, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 12. Next term = 90 + 12 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 13 * 11 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×11=143, then 19+143-15=147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 726 - 604"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 604 from 726: 726 - 604 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 12 * 47 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×47=564, then 36+564-37=563.\n</reasoning>\nFinal Answer: 563"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 327 × -346"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 327 by -346: 327 × -346 = -113142.\n</reasoning>\nFinal Answer: -113142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:47 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/47, so B = A × (47/36) = 12 × 47/36 = 15.6667.\n</reasoning>\nFinal Answer: 15.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 29, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 29 + 32 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 35 + 16 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×35=1225 and 16×31=496, then add: 1721.\n</reasoning>\nFinal Answer: 1721"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:26 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/26, so B = A × (26/20) = 51 × 26/20 = 66.3.\n</reasoning>\nFinal Answer: 66.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 42 and 120."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(42,120) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:22 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/22, so B = A × (22/35) = 27 × 22/35 = 16.9714.\n</reasoning>\nFinal Answer: 16.9714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 69, 71, 65, 98, 18, 14, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 18, 65, 68, 69, 69, 71, 98]. Middle value(s) → median = 68.5.\n</reasoning>\nFinal Answer: 68.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 / 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/1) ÷ (4/5) = (15/1) × (5/4) = 75/4.\n</reasoning>\nFinal Answer: 75/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 / 7/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/8) ÷ (7/9) = (1/8) × (9/7) = 9/56.\n</reasoning>\nFinal Answer: 9/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 27 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 27 × (1 + 40/100) = 27 × 1.4 = 37.8.\n</reasoning>\nFinal Answer: 37.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -49 = -529"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 30x = -480. Divide by 30: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 492 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 492 × (1 - 15/100) = 492 × 0.85 = 418.2.\n</reasoning>\nFinal Answer: 418.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 40 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 8x = -128. Divide by 8: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 9 = 1325"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 28x = 1316. Divide by 28: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 49 = -1095"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 26x = -1144. Divide by 26: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 1 * 31 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×31=31, then 45+31-29=47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [5, 14, 15, 17] and B = [4, 7, 16, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 7, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [4, 5, 7, 14, 15, 16, 17, 19]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -326 + 655"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -326 and 655: -326 + 655 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 9) * (14 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+9)=35, (14-41)=-27, then 35×-27=-945.\n</reasoning>\nFinal Answer: -945"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 47 km/h. How far does it travel in 2 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 53/60 = 2.8833 hours. Distance = speed × time = 47 × 2.8833 = 135.5167 km.\n</reasoning>\nFinal Answer: 135.5167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 478 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 478 × (1 + 7/100) = 478 × 1.07 = 511.46.\n</reasoning>\nFinal Answer: 511.46"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 38 + 23 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×38=988 and 23×24=552, then add: 1540.\n</reasoning>\nFinal Answer: 1540"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "234 is what percentage of 288?"
},
{
"role": "assistant",
"content": "<reasoning>\n(234/288) × 100 = 81.25%.\n</reasoning>\nFinal Answer: 81.25%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 418 + 684"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 418 and 684: 418 + 684 = 1102.\n</reasoning>\nFinal Answer: 1102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 892 - -178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -178 from 892: 892 - -178 = 1070.\n</reasoning>\nFinal Answer: 1070"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 30 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 30 = 570 worker-days. New time = 570 / 11 = 51.8182 days.\n</reasoning>\nFinal Answer: 51.8182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+59) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 14, 26, 12, 20, 73, 46, 27, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 14: 1, 26: 1, 12: 1, 20: 1, 73: 1, 46: 1, 27: 1, 72: 1}. Most frequent: [51, 14, 26, 12, 20, 73, 46, 27, 72].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 29 * 11 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×11=319, then 31+319-4=346.\n</reasoning>\nFinal Answer: 346"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 69, 54, 40, 27, 33, 7, 78, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 27, 33, 40, 54, 69, 70, 74, 78]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 77 = 4774.\n</reasoning>\nFinal Answer: 4774"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/17 / 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/17) ÷ (18/19) = (5/17) × (19/18) = 95/306.\n</reasoning>\nFinal Answer: 95/306"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -132 + 506"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -132 and 506: -132 + 506 = 374.\n</reasoning>\nFinal Answer: 374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 710 - -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -167 from 710: 710 - -167 = 877.\n</reasoning>\nFinal Answer: 877"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -302 ÷ 80"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -302 by 80. -302 ÷ 80 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 32 = 768.\n</reasoning>\nFinal Answer: 768"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 17% of 378?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 378 = (17/100) × 378 = 64.26.\n</reasoning>\nFinal Answer: 64.26"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/7 - 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/7 - 16/2. LCD = 7. Result = -55/7.\n</reasoning>\nFinal Answer: -55/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 36 = -27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 9x = -63. Divide by 9: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:25 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/25, so B = A × (25/34) = 64 × 25/34 = 47.0588.\n</reasoning>\nFinal Answer: 47.0588"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 630 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 630 × (1 - 45/100) = 630 × 0.55 = 346.5.\n</reasoning>\nFinal Answer: 346.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 26 = -898"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 22x = -924. Divide by 22: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:50 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/50, so B = A × (50/18) = 41 × 50/18 = 113.8889.\n</reasoning>\nFinal Answer: 113.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 326 ÷ 189"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 326 by 189. 326 ÷ 189 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 100% of 384?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 384 = (100/100) × 384 = 384.0.\n</reasoning>\nFinal Answer: 384.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 13, 14, 19] and B = [1, 4, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 7, 13, 14, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 4, 5, 7, 13, 14, 18, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -947 - 465"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 465 from -947: -947 - 465 = -1412.\n</reasoning>\nFinal Answer: -1412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 9, 12, 14, 18, 19] and B = [2, 12, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 9, 12, 14, 17, 18, 19].\n</reasoning>\nFinal Answer: [2, 3, 9, 12, 14, 17, 18, 19... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -4 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 12x = -36. Divide by 12: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -249 - 652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 652 from -249: -249 - 652 = -901.\n</reasoning>\nFinal Answer: -901"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 28) * (3 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+28)=65, (3-8)=-5, then 65×-5=-325.\n</reasoning>\nFinal Answer: -325"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 / 6/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/2) ÷ (6/5) = (12/2) × (5/6) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 10 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 10 = 200 worker-days. New time = 200 / 2 = 100.0 days.\n</reasoning>\nFinal Answer: 100.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 82, 42, 12, 9, 94, 7, 45, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 389/9 = 43.2222.\n</reasoning>\nFinal Answer: 43.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 45 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 45 × (1 + 80/100) = 45 × 1.8 = 81.0.\n</reasoning>\nFinal Answer: 81.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 885 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 885 × (1 - 75/100) = 885 × 0.25 = 221.25.\n</reasoning>\nFinal Answer: 221.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -811 × -431"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -811 by -431: -811 × -431 = 349541.\n</reasoning>\nFinal Answer: 349541"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "324 is what percentage of 349?"
},
{
"role": "assistant",
"content": "<reasoning>\n(324/349) × 100 = 92.8367%.\n</reasoning>\nFinal Answer: 92.8367%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 1 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+1) × 48 = 816.0.\n</reasoning>\nFinal Answer: 816.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -47 = -1139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 28x = -1092. Divide by 28: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 3 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 30+9-23=16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 4 = 984"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 20x = 980. Divide by 20: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:4 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/4, so B = A × (4/15) = 56 × 4/15 = 14.9333.\n</reasoning>\nFinal Answer: 14.9333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 16 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 16 = 192 worker-days. New time = 192 / 5 = 38.4 days.\n</reasoning>\nFinal Answer: 38.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 32 = 53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 3x = 21. Divide by 3: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 222 × 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 222 by 11: 222 × 11 = 2442.\n</reasoning>\nFinal Answer: 2442"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 50 km/h. How far does it travel in 8 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 48/60 = 8.8000 hours. Distance = speed × time = 50 × 8.8000 = 440.0 km.\n</reasoning>\nFinal Answer: 440.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:16 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/16, so B = A × (16/30) = 6 × 16/30 = 3.2.\n</reasoning>\nFinal Answer: 3.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -932 mod 701"
},
{
"role": "assistant",
"content": "<reasoning>\n-932 mod 701: -932 = 701 × -2 + 470, so remainder = 470.\n</reasoning>\nFinal Answer: 470"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 12 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 0/60 = 12.0000 hours. Distance = speed × time = 167 × 12.0000 = 2004.0 km.\n</reasoning>\nFinal Answer: 2004.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40902 at 16% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40902 × 16 × 4 / 100 = 26177.28.\n</reasoning>\nFinal Answer: 26177.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31463 at 7% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31463 × 7 × 10 / 100 = 22024.1.\n</reasoning>\nFinal Answer: 22024.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 9 * 12 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×12=108, then 21+108-21=108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -784 ÷ 968"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -784 by 968. -784 ÷ 968 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 - 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/5 - 12/13. LCD = 13. Result = 40/13.\n</reasoning>\nFinal Answer: 40/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 22 + 24 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×22=946 and 24×38=912, then add: 1858.\n</reasoning>\nFinal Answer: 1858"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 31 = 895"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 18x = 864. Divide by 18: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×26)/1 = 1222.\n</reasoning>\nFinal Answer: 1222"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 + 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/18 + 6/6. Common denominator = 6. Result = 7/6.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:15 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/15, so B = A × (15/22) = 25 × 15/22 = 17.0455.\n</reasoning>\nFinal Answer: 17.0455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 16, 17, 19] and B = [1, 4, 6, 10, 12, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 6, 8, 10, 12, 14, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 4, 6, 8, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×24)/3 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 18, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (18-1)×18 = 44 + 306 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 93, 10, 1, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 204/5 = 40.8.\n</reasoning>\nFinal Answer: 40.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 40% of 285?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 285 = (40/100) × 285 = 114.0.\n</reasoning>\nFinal Answer: 114.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×24)/3 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 351 - 489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 489 from 351: 351 - 489 = -138.\n</reasoning>\nFinal Answer: -138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 11 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 56/60 = 11.9333 hours. Distance = speed × time = 126 × 11.9333 = 1503.6 km.\n</reasoning>\nFinal Answer: 1503.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 31 = 806.\n</reasoning>\nFinal Answer: 806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "21 is what percentage of 42?"
},
{
"role": "assistant",
"content": "<reasoning>\n(21/42) × 100 = 50.0%.\n</reasoning>\nFinal Answer: 50.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 1 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 47/60 = 1.7833 hours. Distance = speed × time = 100 × 1.7833 = 178.3333 km.\n</reasoning>\nFinal Answer: 178.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 7 + 45 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×7=294 and 45×29=1305, then add: 1599.\n</reasoning>\nFinal Answer: 1599"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 11, 12, 13, 14, 15, 19] and B = [4, 8, 10, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 11, 13, 14, 15, 19].\n</reasoning>\nFinal Answer: [1, 2, 11, 13, 14, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -894 + 475"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -894 and 475: -894 + 475 = -419.\n</reasoning>\nFinal Answer: -419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×22)/1 = 858.\n</reasoning>\nFinal Answer: 858"
}
] | medium | [
"number_theory",
"lcm"
] |
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