messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 2/9 / 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/9) ÷ (15/20) = (2/9) × (20/15) = 8/27.\n</reasoning>\nFinal Answer: 8/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 28, 37, 7, 55, 82, 23, 85, 100, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 23, 28, 37, 55, 64, 80, 82, 85, 100]. Middle value(s) → median = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 39, 94, 11, 98, 77, 24, 97, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 11 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹732. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 732 × 18/100 = 131.76. Total = 732 + 131.76 = 863.76.\n</reasoning>\nFinal Answer: 863.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -654 × -184"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -654 by -184: -654 × -184 = 120336.\n</reasoning>\nFinal Answer: 120336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 77 + -975"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 77 and -975: 77 + -975 = -898.\n</reasoning>\nFinal Answer: -898"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-7)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -7² - 4×1×-30 = 169. √discriminant = 13. x = (-(-7) ± 13) / (2×1). Solutions: x = -3 or x = 10.\n</reasoning>\nFinal Answer: x = -3 or x = 10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 748 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 748 × (1 + 65/100) = 748 × 1.65 = 1234.2.\n</reasoning>\nFinal Answer: 1234.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 11 * 37 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×37=407, then 12+407-36=383.\n</reasoning>\nFinal Answer: 383"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 392 km apart. Their speeds are 96 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+49=145 km/h. Time = 392/145 = 2.7034 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 827 - 893"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 893 from 827: 827 - 893 = -66.\n</reasoning>\nFinal Answer: -66"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 63 = 3654.\n</reasoning>\nFinal Answer: 3654"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 97."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,97) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 12, 16, 19] and B = [1, 3, 6, 9, 12, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 7, 16, 19].\n</reasoning>\nFinal Answer: [5, 7, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 629 ÷ 260"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 629 by 260. 629 ÷ 260 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 35 = 2485.\n</reasoning>\nFinal Answer: 2485"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 42 apples and buys 187 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 42 + 187 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 + 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/9 + 13/11. Common denominator = 33. Result = 83/33.\n</reasoning>\nFinal Answer: 83/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 974 mod -747"
},
{
"role": "assistant",
"content": "<reasoning>\n974 mod -747: 974 = -747 × -2 + -520, so remainder = -520.\n</reasoning>\nFinal Answer: -520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 20, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (45-1)×20 = 2 + 880 = 882.\n</reasoning>\nFinal Answer: 882"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 117 km apart. Their speeds are 120 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+43=163 km/h. Time = 117/163 = 0.7178 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 486 ÷ -522"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 486 by -522. 486 ÷ -522 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -277 ÷ -890"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -277 by -890. -277 ÷ -890 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 573 km apart. Their speeds are 116 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+80=196 km/h. Time = 573/196 = 2.9235 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 20 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 23x = -69. Divide by 23: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 23 = 840"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 19x = 817. Divide by 19: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:29 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/29, so B = A × (29/20) = 91 × 29/20 = 131.95.\n</reasoning>\nFinal Answer: 131.95"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 * 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/11) × (12/4) = (228/44) = 57/11 after simplification.\n</reasoning>\nFinal Answer: 57/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 24) * (23 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+24)=38, (23-2)=21, then 38×21=798.\n</reasoning>\nFinal Answer: 798"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 23 = -43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 2x = -66. Divide by 2: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×44)/2 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 373."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 373 by smallest primes repeatedly: 373 = 373.\n</reasoning>\nFinal Answer: 373"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 + 19/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/12 + 19/3. Common denominator = 12. Result = 85/12.\n</reasoning>\nFinal Answer: 85/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 * 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/7) × (1/7) = (12/49) = 12/49 after simplification.\n</reasoning>\nFinal Answer: 12/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 90 apples and buys 45 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 90 + 45 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 736 ÷ -857"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 736 by -857. 736 ÷ -857 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 580 ÷ -653"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 580 by -653. 580 ÷ -653 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 784 + -227"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 784 and -227: 784 + -227 = 557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 185 km/h. How far does it travel in 6 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 38/60 = 6.6333 hours. Distance = speed × time = 185 × 6.6333 = 1227.1667 km.\n</reasoning>\nFinal Answer: 1227.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -886 × 779"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -886 by 779: -886 × 779 = -690194.\n</reasoning>\nFinal Answer: -690194"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 / 11/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/20) ÷ (11/10) = (11/20) × (10/11) = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 83 km/h. How far does it travel in 10 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 9/60 = 10.1500 hours. Distance = speed × time = 83 × 10.1500 = 842.45 km.\n</reasoning>\nFinal Answer: 842.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [15, 28, 41, 54, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 15 and common difference 13. Next term = 67 + 13 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 79 = 5214.\n</reasoning>\nFinal Answer: 5214"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 15 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 2+225-39=188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 - 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/5 - 20/5. LCD = 5. Result = -4/5.\n</reasoning>\nFinal Answer: -4/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -845 - 744"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 744 from -845: -845 - 744 = -1589.\n</reasoning>\nFinal Answer: -1589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 7 * 7 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×7=49, then 33+49-8=74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 227 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 227 × (1 - 45/100) = 227 × 0.55 = 124.85.\n</reasoning>\nFinal Answer: 124.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "440 is what percentage of 911?"
},
{
"role": "assistant",
"content": "<reasoning>\n(440/911) × 100 = 48.2986%.\n</reasoning>\nFinal Answer: 48.2986%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:48 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/48, so B = A × (48/21) = 61 × 48/21 = 139.4286.\n</reasoning>\nFinal Answer: 139.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 / 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/13) ÷ (20/2) = (16/13) × (2/20) = 8/65.\n</reasoning>\nFinal Answer: 8/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 7) * (9 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+7)=13, (9-25)=-16, then 13×-16=-208.\n</reasoning>\nFinal Answer: -208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -704 ÷ 574"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -704 by 574. -704 ÷ 574 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 19 = -146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 5x = -165. Divide by 5: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -829 × -979"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -829 by -979: -829 × -979 = 811591.\n</reasoning>\nFinal Answer: 811591"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 8, 17] and B = [2, 4, 8, 10, 15, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 5, 10, 15, 16, 17].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 50 = 1200"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 25x = 1150. Divide by 25: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 596 mod 71"
},
{
"role": "assistant",
"content": "<reasoning>\n596 mod 71: 596 = 71 × 8 + 28, so remainder = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 257 + -934"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 257 and -934: 257 + -934 = -677.\n</reasoning>\nFinal Answer: -677"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -6 = -1194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 27x = -1188. Divide by 27: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 49 * 26 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×26=1274, then 38+1274-33=1279.\n</reasoning>\nFinal Answer: 1279"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "860 is what percentage of 905?"
},
{
"role": "assistant",
"content": "<reasoning>\n(860/905) × 100 = 95.0276%.\n</reasoning>\nFinal Answer: 95.0276%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 39) * (39 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+39)=68, (39-8)=31, then 68×31=2108.\n</reasoning>\nFinal Answer: 2108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3024. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3024 × 18/100 = 544.32. Total = 3024 + 544.32 = 3568.32.\n</reasoning>\nFinal Answer: 3568.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -525 + 806"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -525 and 806: -525 + 806 = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 13] and B = [2, 3, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 7, 13].\n</reasoning>\nFinal Answer: [5, 7, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 21 * 30 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×30=630, then 50+630-42=638.\n</reasoning>\nFinal Answer: 638"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -113 × 867"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -113 by 867: -113 × 867 = -97971.\n</reasoning>\nFinal Answer: -97971"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 42, 6, 28, 51, 35, 11, 24, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 42: 1, 6: 1, 28: 1, 51: 1, 35: 1, 11: 1, 24: 1, 32: 1}. Most frequent: [85, 42, 6, 28, 51, 35, 11, 24, 32].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 14/9 + 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/9 + 2/7. Common denominator = 63. Result = 116/63.\n</reasoning>\nFinal Answer: 116/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 395 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from 395: 395 - 8 = 387.\n</reasoning>\nFinal Answer: 387"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 529 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 529 × (1 - 5/100) = 529 × 0.95 = 502.55.\n</reasoning>\nFinal Answer: 502.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -42 = -756"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 21x = -714. Divide by 21: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 + 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/6 + 8/1. Common denominator = 3. Result = 34/3.\n</reasoning>\nFinal Answer: 34/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -268 ÷ -323"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -268 by -323. -268 ÷ -323 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 260 - 389"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 389 from 260: 260 - 389 = -129.\n</reasoning>\nFinal Answer: -129"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -15 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 8x = 16. Divide by 8: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 5 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 49+25-41=33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -207 ÷ 907"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -207 by 907. -207 ÷ 907 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 924 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 924 × (1 + 80/100) = 924 × 1.8 = 1663.2.\n</reasoning>\nFinal Answer: 1663.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 1 + 37 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×1=6 and 37×28=1036, then add: 1042.\n</reasoning>\nFinal Answer: 1042"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 66 = 2178.\n</reasoning>\nFinal Answer: 2178"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 44 = 3696.\n</reasoning>\nFinal Answer: 3696"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/6 / 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/6) ÷ (19/11) = (2/6) × (11/19) = 11/57.\n</reasoning>\nFinal Answer: 11/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 362 mod -831"
},
{
"role": "assistant",
"content": "<reasoning>\n362 mod -831: 362 = -831 × -1 + -469, so remainder = -469.\n</reasoning>\nFinal Answer: -469"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 45 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4630. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4630 × 18/100 = 833.4. Total = 4630 + 833.4 = 5463.4.\n</reasoning>\nFinal Answer: 5463.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 198 and 191."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(198,191) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -671 × 895"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -671 by 895: -671 × 895 = -600545.\n</reasoning>\nFinal Answer: -600545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 / 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/19) ÷ (18/17) = (19/19) × (17/18) = 17/18.\n</reasoning>\nFinal Answer: 17/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -634 - 645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 645 from -634: -634 - 645 = -1279.\n</reasoning>\nFinal Answer: -1279"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 9, 11, 12, 13, 14, 17] and B = [5, 6, 12, 14, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [9, 11, 13, 16, 17, 18].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -45 = 9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 3x = 54. Divide by 3: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/9 - 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/9 - 14/19. LCD = 57. Result = -23/57.\n</reasoning>\nFinal Answer: -23/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:20 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/20, so B = A × (20/34) = 51 × 20/34 = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 39 = -379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 22x = -418. Divide by 22: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:29 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/29, so B = A × (29/19) = 21 × 29/19 = 32.0526.\n</reasoning>\nFinal Answer: 32.0526"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "156 is what percentage of 498?"
},
{
"role": "assistant",
"content": "<reasoning>\n(156/498) × 100 = 31.3253%.\n</reasoning>\nFinal Answer: 31.3253%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 99, 54, 66, 68, 18, 76, 82, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 18 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
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