messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -111 × -603"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -111 by -603: -111 × -603 = 66933.\n</reasoning>\nFinal Answer: 66933"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 42 apples and buys 147 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 42 + 147 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 21 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 21 = 252 worker-days. New time = 252 / 12 = 21.0 days.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 119 apples and buys 103 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 119 + 103 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹771. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 771 × 5/100 = 38.55. Total = 771 + 38.55 = 809.55.\n</reasoning>\nFinal Answer: 809.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -37 = -312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 11x = -275. Divide by 11: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 584 - 611"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 611 from 584: 584 - 611 = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate: 2^6"
},
{
"role": "assistant",
"content": "<reasoning>\n2^6 = 2 × 2 × 2 × 2 × 2 × 2 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Decrease 356 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 356 × (1 - 40/100) = 356 × 0.6 = 213.6.\n</reasoning>\nFinal Answer: 213.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 46, 47, 2, 53, 50, 72, 60, 52, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 46: 1, 47: 1, 2: 1, 53: 1, 50: 1, 72: 1, 60: 1, 52: 1, 88: 1}. Most frequent: [70, 46, 47, 2, 53, 50, 72, 60, 52, 88].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:49 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/49, so B = A × (49/24) = 46 × 49/24 = 93.9167.\n</reasoning>\nFinal Answer: 93.9167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -50 × -785"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -50 by -785: -50 × -785 = 39250.\n</reasoning>\nFinal Answer: 39250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:47 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/47, so B = A × (47/46) = 79 × 47/46 = 80.7174.\n</reasoning>\nFinal Answer: 80.7174"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 230 mod -795"
},
{
"role": "assistant",
"content": "<reasoning>\n230 mod -795: 230 = -795 × -1 + -565, so remainder = -565.\n</reasoning>\nFinal Answer: -565"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 33 = -199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 29x = -232. Divide by 29: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 10, 62, 56, 53, 61, 36, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 10: 1, 62: 1, 56: 1, 53: 1, 61: 1, 36: 1, 77: 1}. Most frequent: [65, 10, 62, 56, 53, 61, 36, 77].\n</reasoning>\nFinal Answer: [65, 10,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 69, 69, 78, 64, 70, 73, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 64, 68, 69, 69, 70, 73, 78]. Middle value(s) → median = 69.0.\n</reasoning>\nFinal Answer: 69.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 - 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/5 - 11/19. LCD = 95. Result = -17/95.\n</reasoning>\nFinal Answer: -17/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 18 * 18 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×18=324, then 17+324-23=318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 410 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 410 × (1 - 20/100) = 410 × 0.8 = 328.0.\n</reasoning>\nFinal Answer: 328.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 186 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n186 = 2 × 93, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 31, 42, 28, 36, 96, 48, 79, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 29, 31, 36, 42, 48, 63, 79, 96]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 16 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 16 = 128 worker-days. New time = 128 / 2 = 64.0 days.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 254 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 254 × (1 - 17/100) = 254 × 0.83 = 210.82.\n</reasoning>\nFinal Answer: 210.82"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 78 km/h. How far does it travel in 3 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 12/60 = 3.2000 hours. Distance = speed × time = 78 × 3.2000 = 249.6 km.\n</reasoning>\nFinal Answer: 249.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 121 apples and buys 45 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 121 + 45 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -166 + -723"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -166 and -723: -166 + -723 = -889.\n</reasoning>\nFinal Answer: -889"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 382 + 530"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 382 and 530: 382 + 530 = 912.\n</reasoning>\nFinal Answer: 912"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 42, 48, 54, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 6. Next term = 60 + 6 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 997 mod 30"
},
{
"role": "assistant",
"content": "<reasoning>\n997 mod 30: 997 = 30 × 33 + 7, so remainder = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -9 = 937"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 22x = 946. Divide by 22: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [43, 45, 47, 49, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 43 and common difference 2. Next term = 51 + 2 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 - 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/17 - 17/4. LCD = 68. Result = -225/68.\n</reasoning>\nFinal Answer: -225/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -888 + 240"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -888 and 240: -888 + 240 = -648.\n</reasoning>\nFinal Answer: -648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 194 apples and buys 164 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 194 + 164 = 358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 9, 11, 16, 17, 19] and B = [1, 9, 11, 13, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 6, 13, 16, 17, 18, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 702 + -726"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 702 and -726: 702 + -726 = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+15) = 2×50 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:8 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/8, so B = A × (8/35) = 16 × 8/35 = 3.6571.\n</reasoning>\nFinal Answer: 3.6571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:19 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/19, so B = A × (19/10) = 29 × 19/10 = 55.1.\n</reasoning>\nFinal Answer: 55.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -238 mod -537"
},
{
"role": "assistant",
"content": "<reasoning>\n-238 mod -537: -238 = -537 × 0 + -238, so remainder = -238.\n</reasoning>\nFinal Answer: -238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 / 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/11) ÷ (4/19) = (3/11) × (19/4) = 57/44.\n</reasoning>\nFinal Answer: 57/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 473 ÷ -491"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 473 by -491. 473 ÷ -491 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 37 = -1232"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 27x = -1269. Divide by 27: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -563 - -632"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -632 from -563: -563 - -632 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 + 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/18 + 10/6. Common denominator = 3. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 9, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (39-1)×9 = 50 + 342 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 / 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/13) ÷ (5/20) = (15/13) × (20/5) = 60/13.\n</reasoning>\nFinal Answer: 60/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:35 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/35, so B = A × (35/30) = 19 × 35/30 = 22.1667.\n</reasoning>\nFinal Answer: 22.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 50) * (49 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+50)=83, (49-44)=5, then 83×5=415.\n</reasoning>\nFinal Answer: 415"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 21 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 21 = 126 worker-days. New time = 126 / 12 = 10.5 days.\n</reasoning>\nFinal Answer: 10.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 74 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 74 + 8 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "413 is what percentage of 475?"
},
{
"role": "assistant",
"content": "<reasoning>\n(413/475) × 100 = 86.9474%.\n</reasoning>\nFinal Answer: 86.9474%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -22 - -781"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -781 from -22: -22 - -781 = 759.\n</reasoning>\nFinal Answer: 759"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:38 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/38, so B = A × (38/33) = 90 × 38/33 = 103.6364.\n</reasoning>\nFinal Answer: 103.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "837 is what percentage of 852?"
},
{
"role": "assistant",
"content": "<reasoning>\n(837/852) × 100 = 98.2394%.\n</reasoning>\nFinal Answer: 98.2394%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 54, 84, 55, 61, 11, 65, 92, 61, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 2, 54: 1, 84: 1, 55: 1, 61: 2, 11: 1, 65: 1, 92: 1}. Most frequent: [24, 61].\n</reasoning>\nFinal Answer: [24, 61]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "499 is what percentage of 625?"
},
{
"role": "assistant",
"content": "<reasoning>\n(499/625) × 100 = 79.84%.\n</reasoning>\nFinal Answer: 79.84%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:25 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/25, so B = A × (25/21) = 21 × 25/21 = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:10 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/10, so B = A × (10/14) = 85 × 10/14 = 60.7143.\n</reasoning>\nFinal Answer: 60.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 / 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/15) ÷ (14/14) = (13/15) × (14/14) = 13/15.\n</reasoning>\nFinal Answer: 13/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -741 ÷ 807"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -741 by 807. -741 ÷ 807 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 35 = -168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 7x = -203. Divide by 7: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -3 = -669"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 18x = -666. Divide by 18: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 34) * (20 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+34)=63, (20-11)=9, then 63×9=567.\n</reasoning>\nFinal Answer: 567"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/3 - 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/3 - 1/6. LCD = 6. Result = 7/6.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1981. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1981 × 12/100 = 237.72. Total = 1981 + 237.72 = 2218.72.\n</reasoning>\nFinal Answer: 2218.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2973 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2973 × 8 × 3 / 100 = 713.52.\n</reasoning>\nFinal Answer: 713.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 4 + 6 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×4=100 and 6×13=78, then add: 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 15 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+15) × 1 = 9.0.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 27 = 365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 13x = 338. Divide by 13: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 95 and 188."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(95,188) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 - 9/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/20 - 9/19. LCD = 380. Result = 143/380.\n</reasoning>\nFinal Answer: 143/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 5 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 57/60 = 5.9500 hours. Distance = speed × time = 85 × 5.9500 = 505.75 km.\n</reasoning>\nFinal Answer: 505.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 185 km/h. How far does it travel in 1 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 37/60 = 1.6167 hours. Distance = speed × time = 185 × 1.6167 = 299.0833 km.\n</reasoning>\nFinal Answer: 299.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 40 = -860"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 25x = -900. Divide by 25: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -7 = 1037"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 29x = 1044. Divide by 29: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 486 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 486 × (1 - 35/100) = 486 × 0.65 = 315.9.\n</reasoning>\nFinal Answer: 315.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -179 ÷ -551"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -179 by -551. -179 ÷ -551 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -835 mod 19"
},
{
"role": "assistant",
"content": "<reasoning>\n-835 mod 19: -835 = 19 × -44 + 1, so remainder = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "560 is what percentage of 761?"
},
{
"role": "assistant",
"content": "<reasoning>\n(560/761) × 100 = 73.5874%.\n</reasoning>\nFinal Answer: 73.5874%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 61 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 61 × 63 = 1921.5.\n</reasoning>\nFinal Answer: 1921.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:39 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/39, so B = A × (39/15) = 4 × 39/15 = 10.4.\n</reasoning>\nFinal Answer: 10.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "831 is what percentage of 905?"
},
{
"role": "assistant",
"content": "<reasoning>\n(831/905) × 100 = 91.8232%.\n</reasoning>\nFinal Answer: 91.8232%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 46 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 46 × 29 = 1334.\n</reasoning>\nFinal Answer: 1334"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 990 ÷ 829"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 990 by 829. 990 ÷ 829 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 / 6/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/18) ÷ (6/11) = (18/18) × (11/6) = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 16) * (42 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+16)=45, (42-20)=22, then 45×22=990.\n</reasoning>\nFinal Answer: 990"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (11)x + (18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 11² - 4×1×18 = 49. √discriminant = 7. x = (-(11) ± 7) / (2×1). Solutions: x = -9 or x = -2.\n</reasoning>\nFinal Answer: x = -9 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 - 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/12 - 5/8. LCD = 8. Result = -3/8.\n</reasoning>\nFinal Answer: -3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -9 = 211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 22x = 220. Divide by 22: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:11 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/11, so B = A × (11/5) = 4 × 11/5 = 8.8.\n</reasoning>\nFinal Answer: 8.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -9 × 664"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -9 by 664: -9 × 664 = -5976.\n</reasoning>\nFinal Answer: -5976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 7 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 37+49-7=79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -19 = 1109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 24x = 1128. Divide by 24: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×18)/9 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 32, 48, 56, 61, 20, 69, 93, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 12 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 70% of 126?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 126 = (70/100) × 126 = 88.2.\n</reasoning>\nFinal Answer: 88.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -26 = 634"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 15x = 660. Divide by 15: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 2, 3, 4, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 1 and common difference 1. Next term = 5 + 1 = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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