messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 6, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (18-1)×6 = 4 + 102 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×25)/1 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 11, 12, 14, 15, 17, 18] and B = [3, 4, 15, 16, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 10, 11, 12, 14, 17].\n</reasoning>\nFinal Answer: [8, 10, 11, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [18, 38, 58, 78, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 18 and common difference 20. Next term = 98 + 20 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -49 = -609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 20x = -560. Divide by 20: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 634 km apart. Their speeds are 99 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+50=149 km/h. Time = 634/149 = 4.255 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 68, 52, 35, 40, 49, 55, 79, 93, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 10 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2433. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2433 × 5/100 = 121.65. Total = 2433 + 121.65 = 2554.65.\n</reasoning>\nFinal Answer: 2554.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 64 and 99."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(64,99) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 79 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(79+41) = 2×120 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 * 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/15) × (7/7) = (98/105) = 14/15 after simplification.\n</reasoning>\nFinal Answer: 14/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2101 at 11% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2101 × 11 × 7 / 100 = 1617.77.\n</reasoning>\nFinal Answer: 1617.77"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 115 - -228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -228 from 115: 115 - -228 = 343.\n</reasoning>\nFinal Answer: 343"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "34 is what percentage of 114?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/114) × 100 = 29.8246%.\n</reasoning>\nFinal Answer: 29.8246%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:27 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/27, so B = A × (27/45) = 2 × 27/45 = 1.2.\n</reasoning>\nFinal Answer: 1.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 658 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 658 × (1 + 65/100) = 658 × 1.65 = 1085.7.\n</reasoning>\nFinal Answer: 1085.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 / 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/10) ÷ (13/1) = (17/10) × (1/13) = 17/130.\n</reasoning>\nFinal Answer: 17/130"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -97 - 56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 56 from -97: -97 - 56 = -153.\n</reasoning>\nFinal Answer: -153"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 30 + 18 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×30=900 and 18×39=702, then add: 1602.\n</reasoning>\nFinal Answer: 1602"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18684 at 1% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18684 × 1 × 9 / 100 = 1681.56.\n</reasoning>\nFinal Answer: 1681.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 11 = -414"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 25x = -425. Divide by 25: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 150 km apart. Their speeds are 55 km/h and 104 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+104=159 km/h. Time = 150/159 = 0.9434 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:33 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/33, so B = A × (33/11) = 33 × 33/11 = 99.0.\n</reasoning>\nFinal Answer: 99.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 129 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(129,39) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -192 mod 394"
},
{
"role": "assistant",
"content": "<reasoning>\n-192 mod 394: -192 = 394 × -1 + 202, so remainder = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/9 + 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/9 + 4/1. Common denominator = 3. Result = 17/3.\n</reasoning>\nFinal Answer: 17/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+83) = 2×133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 32, 36, 94, 92, 85, 21, 22, 88, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 32: 1, 36: 1, 94: 1, 92: 1, 85: 1, 21: 1, 22: 1, 88: 1, 63: 1}. Most frequent: [28, 32, 36, 94, 92, 85, 21, 22, 88, 63].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 22 + 4 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×22=308 and 4×38=152, then add: 460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 876 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 876 × (1 + 60/100) = 876 × 1.6 = 1401.6.\n</reasoning>\nFinal Answer: 1401.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:4 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/4, so B = A × (4/50) = 52 × 4/50 = 4.16.\n</reasoning>\nFinal Answer: 4.16"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 79 apples and buys 133 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 79 + 133 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 27 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 27 = 513 worker-days. New time = 513 / 4 = 128.25 days.\n</reasoning>\nFinal Answer: 128.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 101 km apart. Their speeds are 114 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+40=154 km/h. Time = 101/154 = 0.6558 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 11 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 11 × (1 + 5/100) = 11 × 1.05 = 11.55.\n</reasoning>\nFinal Answer: 11.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 96, 92, 96, 66, 45, 25, 73, 5, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 96: 3, 92: 1, 66: 1, 45: 1, 25: 1, 73: 1, 5: 1}. Most frequent: 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 28) * (27 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+28)=43, (27-26)=1, then 43×1=43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 88 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(88,41) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 66, 35, 17, 91, 39, 46, 75, 23, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 66: 1, 35: 1, 17: 1, 91: 1, 39: 1, 46: 1, 75: 1, 23: 1, 61: 1}. Most frequent: [86, 66, 35, 17, 91, 39, 46, 75, 23, 61].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -950 - -360"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -360 from -950: -950 - -360 = -590.\n</reasoning>\nFinal Answer: -590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 666 × -62"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 666 by -62: 666 × -62 = -41292.\n</reasoning>\nFinal Answer: -41292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:8 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/8, so B = A × (8/26) = 87 × 8/26 = 26.7692.\n</reasoning>\nFinal Answer: 26.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 871 ÷ -879"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 871 by -879. 871 ÷ -879 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 973 - -195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -195 from 973: 973 - -195 = 1168.\n</reasoning>\nFinal Answer: 1168"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 10 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 11+100-50=61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 33) * (20 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+33)=43, (20-20)=0, then 43×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 10] and B = [1, 2, 3, 6, 8], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 3].\n</reasoning>\nFinal Answer: [1, 3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 54 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(54+8) = 2×62 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 19 + 38 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×19=798 and 38×31=1178, then add: 1976.\n</reasoning>\nFinal Answer: 1976"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:25 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/25, so B = A × (25/44) = 79 × 25/44 = 44.8864.\n</reasoning>\nFinal Answer: 44.8864"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -37 = 35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 24x = 72. Divide by 24: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 7 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 33+49-49=33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -32 = -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 4x = -76. Divide by 4: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 33 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 14+1089-33=1070.\n</reasoning>\nFinal Answer: 1070"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 895 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 895 × (1 + 35/100) = 895 × 1.35 = 1208.25.\n</reasoning>\nFinal Answer: 1208.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 50, 54, 58, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 4. Next term = 62 + 4 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:9 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/9, so B = A × (9/45) = 95 × 9/45 = 19.0.\n</reasoning>\nFinal Answer: 19.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 49 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 49 × 64 = 3136.\n</reasoning>\nFinal Answer: 3136"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 11, 13, 16, 18] and B = [7, 8, 9, 15, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 7, 9, 11, 13, 15, 18, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×36)/6 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 395 mod 172"
},
{
"role": "assistant",
"content": "<reasoning>\n395 mod 172: 395 = 172 × 2 + 51, so remainder = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -169 ÷ -997"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -169 by -997. -169 ÷ -997 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -438 ÷ 220"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -438 by 220. -438 ÷ 220 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 28, 82, 21, 92, 22, 46, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 22, 28, 46, 82, 86, 92, 95]. Middle value(s) → median = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 11 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 39/60 = 11.6500 hours. Distance = speed × time = 190 × 11.6500 = 2213.5 km.\n</reasoning>\nFinal Answer: 2213.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 17 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+17) × 42 = 1302.0.\n</reasoning>\nFinal Answer: 1302.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 27 = -833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 20x = -860. Divide by 20: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+63) = 2×149 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 48 * 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×2=96, then 14+96-14=96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 / 11/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/13) ÷ (11/8) = (6/13) × (8/11) = 48/143.\n</reasoning>\nFinal Answer: 48/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 17 + 8 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×17=119 and 8×10=80, then add: 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 23?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 23 = (15/100) × 23 = 3.45.\n</reasoning>\nFinal Answer: 3.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "9 is what percentage of 332?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/332) × 100 = 2.7108%.\n</reasoning>\nFinal Answer: 2.7108%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:30 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/30, so B = A × (30/44) = 43 × 30/44 = 29.3182.\n</reasoning>\nFinal Answer: 29.3182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 142 km/h. How far does it travel in 2 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 39/60 = 2.6500 hours. Distance = speed × time = 142 × 2.6500 = 376.3 km.\n</reasoning>\nFinal Answer: 376.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 44, 70, 30, 28, 79, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 44: 1, 70: 1, 30: 1, 28: 1, 79: 1, 42: 1}. Most frequent: [39, 44, 70, 30, 28, 79, 42].\n</reasoning>\nFinal Answer: [39, 44, 70, 30, 28, 79... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 8, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (21-1)×8 = 5 + 160 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 163 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 163 × (1 + 90/100) = 163 × 1.9 = 309.7.\n</reasoning>\nFinal Answer: 309.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×22)/1 = 594.\n</reasoning>\nFinal Answer: 594"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -720 + 850"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -720 and 850: -720 + 850 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -197 + -41"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -197 and -41: -197 + -41 = -238.\n</reasoning>\nFinal Answer: -238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 33 and 123."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(33,123) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 535 - -437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -437 from 535: 535 - -437 = 972.\n</reasoning>\nFinal Answer: 972"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -19 = 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 3x = 21. Divide by 3: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 47 = 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 1x = -13. Divide by 1: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 410?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 410 = (10/100) × 410 = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 24, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 24 + 28 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 394 km apart. Their speeds are 99 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+79=178 km/h. Time = 394/178 = 2.2135 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 26 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+26) × 13 = 383.5.\n</reasoning>\nFinal Answer: 383.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 15 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (15×29)/1 = 435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 269 km apart. Their speeds are 50 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 50+77=127 km/h. Time = 269/127 = 2.1181 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:25 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/25, so B = A × (25/37) = 56 × 25/37 = 37.8378.\n</reasoning>\nFinal Answer: 37.8378"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 36 = -10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 1x = -46. Divide by 1: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -231 × 906"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -231 by 906: -231 × 906 = -209286.\n</reasoning>\nFinal Answer: -209286"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [91, 71, 75, 100, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [54, 71, 75, 91, 100]. Middle value(s) → median = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 9, 10, 15, 19] and B = [1, 2, 4, 7, 10, 11, 12], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 4, 10].\n</reasoning>\nFinal Answer: [2, 4, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 17% of 850?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 850 = (17/100) × 850 = 144.5.\n</reasoning>\nFinal Answer: 144.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 29 * 7 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×7=203, then 25+203-42=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 15, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (47-1)×15 = 45 + 690 = 735.\n</reasoning>\nFinal Answer: 735"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 12 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 16/60 = 12.2667 hours. Distance = speed × time = 182 × 12.2667 = 2232.5333 km.\n</reasoning>\nFinal Answer: 2232.5333"
}... | medium | [
"word_problem",
"applied_math"
] |
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