messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 4:9 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/9, so B = A × (9/4) = 51 × 9/4 = 114.75.\n</reasoning>\nFinal Answer: 114.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 21, 12, 30, 67, 22, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 67 - 12 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 283 km apart. Their speeds are 70 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+107=177 km/h. Time = 283/177 = 1.5989 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 / 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/3) ÷ (5/20) = (19/3) × (20/5) = 76/3.\n</reasoning>\nFinal Answer: 76/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -254 mod 323"
},
{
"role": "assistant",
"content": "<reasoning>\n-254 mod 323: -254 = 323 × -1 + 69, so remainder = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 35% of 431?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 431 = (35/100) × 431 = 150.85.\n</reasoning>\nFinal Answer: 150.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 66, 81, 58, 82, 24, 18, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 391/8 = 48.875.\n</reasoning>\nFinal Answer: 48.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 - 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/3 - 15/5. LCD = 3. Result = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 8, 15, 57, 18, 73, 32, 4, 78, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 1, 8: 1, 15: 1, 57: 1, 18: 1, 73: 1, 32: 1, 4: 1, 78: 1, 3: 1}. Most frequent: [93, 8, 15, 57, 18, 73, 32, 4, 78, 3].\n</reasoning>\nF... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 124 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(124,35) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 + 14/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/6 + 14/18. Common denominator = 9. Result = 16/9.\n</reasoning>\nFinal Answer: 16/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:23 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/23, so B = A × (23/30) = 71 × 23/30 = 54.4333.\n</reasoning>\nFinal Answer: 54.4333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -143 ÷ 874"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -143 by 874. -143 ÷ 874 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 84, 98, 15, 3, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 3 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -506 - -683"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -683 from -506: -506 - -683 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -518 mod 391"
},
{
"role": "assistant",
"content": "<reasoning>\n-518 mod 391: -518 = 391 × -2 + 264, so remainder = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 292 × -684"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 292 by -684: 292 × -684 = -199728.\n</reasoning>\nFinal Answer: -199728"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:36 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/36, so B = A × (36/45) = 83 × 36/45 = 66.4.\n</reasoning>\nFinal Answer: 66.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 144 apples and buys 31 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 144 + 31 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 100% of 679?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 679 = (100/100) × 679 = 679.0.\n</reasoning>\nFinal Answer: 679.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2286. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2286 × 18/100 = 411.48. Total = 2286 + 411.48 = 2697.48.\n</reasoning>\nFinal Answer: 2697.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 40 km/h. How far does it travel in 5 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 11/60 = 5.1833 hours. Distance = speed × time = 40 × 5.1833 = 207.3333 km.\n</reasoning>\nFinal Answer: 207.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 78, 75, 79, 36, 45, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [36, 45, 59, 75, 78, 79, 86]. Middle value(s) → median = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 75% of 747?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 747 = (75/100) × 747 = 560.25.\n</reasoning>\nFinal Answer: 560.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 47 = -423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 10x = -470. Divide by 10: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 3, 93, 30, 60, 8, 96, 70, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 3: 1, 93: 1, 30: 1, 60: 1, 8: 1, 96: 1, 70: 1, 54: 1}. Most frequent: [35, 3, 93, 30, 60, 8, 96, 70, 54].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:37 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/37, so B = A × (37/9) = 81 × 37/9 = 333.0.\n</reasoning>\nFinal Answer: 333.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:37 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/37, so B = A × (37/15) = 46 × 37/15 = 113.4667.\n</reasoning>\nFinal Answer: 113.4667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 20 = -125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 5x = -145. Divide by 5: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 15, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (41-1)×15 = 19 + 600 = 619.\n</reasoning>\nFinal Answer: 619"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 29 = 449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 20x = 420. Divide by 20: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 92 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(92,29) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 12 * 30 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×30=360, then 9+360-34=335.\n</reasoning>\nFinal Answer: 335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:37 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/37, so B = A × (37/49) = 73 × 37/49 = 55.1224.\n</reasoning>\nFinal Answer: 55.1224"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 5, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (49-1)×5 = 31 + 240 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 576 - 958"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 958 from 576: 576 - 958 = -382.\n</reasoning>\nFinal Answer: -382"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -590 mod -361"
},
{
"role": "assistant",
"content": "<reasoning>\n-590 mod -361: -590 = -361 × 1 + -229, so remainder = -229.\n</reasoning>\nFinal Answer: -229"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 38) * (17 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+38)=76, (17-12)=5, then 76×5=380.\n</reasoning>\nFinal Answer: 380"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 756 ÷ -322"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 756 by -322. 756 ÷ -322 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 + 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/2 + 1/6. Common denominator = 6. Result = 20/3.\n</reasoning>\nFinal Answer: 20/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 27, 64, 51, 11, 64, 32, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 72 - 11 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 86, 47, 22, 14, 68, 35, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 3 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "24 is what percentage of 483?"
},
{
"role": "assistant",
"content": "<reasoning>\n(24/483) × 100 = 4.9689%.\n</reasoning>\nFinal Answer: 4.9689%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 93, 3, 64, 50, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 3 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 28 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 38+784-32=790.\n</reasoning>\nFinal Answer: 790"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [50, 66, 82, 98, 114]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 50 and common difference 16. Next term = 114 + 16 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -474 × 300"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -474 by 300: -474 × 300 = -142200.\n</reasoning>\nFinal Answer: -142200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,48) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -767 + 72"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -767 and 72: -767 + 72 = -695.\n</reasoning>\nFinal Answer: -695"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 28 + 15 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×28=1036 and 15×35=525, then add: 1561.\n</reasoning>\nFinal Answer: 1561"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "827 is what percentage of 830?"
},
{
"role": "assistant",
"content": "<reasoning>\n(827/830) × 100 = 99.6386%.\n</reasoning>\nFinal Answer: 99.6386%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 79 = 3081.\n</reasoning>\nFinal Answer: 3081"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 907 km apart. Their speeds are 87 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+66=153 km/h. Time = 907/153 = 5.9281 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:45 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/45, so B = A × (45/12) = 79 × 45/12 = 296.25.\n</reasoning>\nFinal Answer: 296.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 80, 60, 42, 37, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 33 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -753 + -96"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -753 and -96: -753 + -96 = -849.\n</reasoning>\nFinal Answer: -849"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 54, 7, 41, 25, 81, 32, 66, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 25, 32, 41, 54, 59, 66, 81, 98]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 7, 8, 10, 11, 17] and B = [1, 4, 7, 8, 11, 13, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 6, 10, 17].\n</reasoning>\nFinal Answer: [2, 5, 6, 10, 17]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 184 apples and buys 25 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 184 + 25 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -31 = 255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 11x = 286. Divide by 11: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -992 mod -188"
},
{
"role": "assistant",
"content": "<reasoning>\n-992 mod -188: -992 = -188 × 5 + -52, so remainder = -52.\n</reasoning>\nFinal Answer: -52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 21 + 40 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×21=483 and 40×25=1000, then add: 1483.\n</reasoning>\nFinal Answer: 1483"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 83 and 192."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(83,192) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "130 is what percentage of 189?"
},
{
"role": "assistant",
"content": "<reasoning>\n(130/189) × 100 = 68.7831%.\n</reasoning>\nFinal Answer: 68.7831%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 70 = 1505.0.\n</reasoning>\nFinal Answer: 1505.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 293 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 293 × (1 - 15/100) = 293 × 0.85 = 249.05.\n</reasoning>\nFinal Answer: 249.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -977 × 689"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -977 by 689: -977 × 689 = -673153.\n</reasoning>\nFinal Answer: -673153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 7, 82, 62, 51, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 7: 1, 82: 1, 62: 1, 51: 1, 61: 1}. Most frequent: [88, 7, 82, 62, 51, 61].\n</reasoning>\nFinal Answer: [88, 7, 82, 62, 51, 61]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 423 mod -937"
},
{
"role": "assistant",
"content": "<reasoning>\n423 mod -937: 423 = -937 × -1 + -514, so remainder = -514.\n</reasoning>\nFinal Answer: -514"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 35, 59, 41, 72, 59, 38, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 322/8 = 40.25.\n</reasoning>\nFinal Answer: 40.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 2 = -862"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 18x = -864. Divide by 18: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3592. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3592 × 12/100 = 431.04. Total = 3592 + 431.04 = 4023.04.\n</reasoning>\nFinal Answer: 4023.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 30 = -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 10x = -240. Divide by 10: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 886 × -190"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 886 by -190: 886 × -190 = -168340.\n</reasoning>\nFinal Answer: -168340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 - 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/4 - 16/18. LCD = 36. Result = 31/36.\n</reasoning>\nFinal Answer: 31/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 11 = -1159"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 26x = -1170. Divide by 26: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 12 = -143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 5x = -155. Divide by 5: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 9 = -135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 16x = -144. Divide by 16: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 33 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 33 × 73 = 2409.\n</reasoning>\nFinal Answer: 2409"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -481 mod 426"
},
{
"role": "assistant",
"content": "<reasoning>\n-481 mod 426: -481 = 426 × -2 + 371, so remainder = 371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "134 is what percentage of 225?"
},
{
"role": "assistant",
"content": "<reasoning>\n(134/225) × 100 = 59.5556%.\n</reasoning>\nFinal Answer: 59.5556%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -483 ÷ -195"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -483 by -195. -483 ÷ -195 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 99 = 6039.\n</reasoning>\nFinal Answer: 6039"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -565 + -900"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -565 and -900: -565 + -900 = -1465.\n</reasoning>\nFinal Answer: -1465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 7, 8, 9, 15, 16] and B = [1, 2, 5, 6, 8, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 6, 8].\n</reasoning>\nFinal Answer: [1, 6, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -90 ÷ -719"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -90 by -719. -90 ÷ -719 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 9 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 8x = 8. Divide by 8: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 / 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/17) ÷ (16/2) = (6/17) × (2/16) = 3/68.\n</reasoning>\nFinal Answer: 3/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -718 ÷ -902"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -718 by -902. -718 ÷ -902 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 29 = -226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 17x = -255. Divide by 17: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 43) * (23 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+43)=70, (23-50)=-27, then 70×-27=-1890.\n</reasoning>\nFinal Answer: -1890"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 31 = -599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 18x = -630. Divide by 18: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -44 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 2x = 4. Divide by 2: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 8 * 32 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×32=256, then 27+256-11=272.\n</reasoning>\nFinal Answer: 272"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 430 km apart. Their speeds are 52 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+99=151 km/h. Time = 430/151 = 2.8477 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 10 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 10 × 47 = 470.\n</reasoning>\nFinal Answer: 470"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 28 * 20 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×20=560, then 40+560-30=570.\n</reasoning>\nFinal Answer: 570"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 + 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/15 + 9/3. Common denominator = 15. Result = 61/15.\n</reasoning>\nFinal Answer: 61/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 17, and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 17 + 19 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 413 km apart. Their speeds are 108 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+43=151 km/h. Time = 413/151 = 2.7351 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
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