instruction stringlengths 1.77k 3k | answer stringlengths 2 348 | input_ids listlengths 900 900 | labels listlengths 900 900 | attention_mask listlengths 900 900 |
|---|---|---|---|---|
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
2*(9x - 3y) = 2*93 → 18x - 6y = 186
(-3)*(-4x + 2y) = (-3)*(-46) → 12x - 6y = 138
Step 2: Subtract the two new equations.
(18x - 6y)-(12x - 6y) = 186 - 138
6x = 48
Step3: Solve for x.
x = 48 / 6 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-16x + 32y)-(48x + 32y) = 128 - (-128)
-64x = 256
Step3: Solve for x.
x = 256 / (-64) = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 2*(2x + y) = 2*(-22) → 4x + 2y = -44
Step 2: Subtract the two new equations.
(7x + 2y)-(4x + 2y) = (-74) - (-44)
3x = -30
Step3: Solve for x.
x = (-30) / 3 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-2)*(5x - 5y) = (-2)*(-10) → -10x + 10y = 20
(-5)*(-2y) = (-5)*(-16) → 10y = 80
Step 2: Subtract the two new equations.
(-10x + 10y)-10y = 20 - 80
-10x = -60
Step3: Solve for x.
x = (-60) / (-10) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
1*(-10x + 7y) = 1*(-22) → -10x + 7y = -22
7*(4x + y) = 7*24 → 28x + 7y = 168
Step 2: Subtract the two new equations.
(-10x + 7y)-(28x + 7y) = (-22) - 168
-38x = -190
Step3: Solve for x.
x = (-190) / (-38) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-252) / 42 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-15x - 24y)-(40x - 24y) = 201 - (-184)
-55x = 385
Step3: Solve for x.
x = 385 / (-55) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(28x - 63y)-(81x - 63y) = (-63) - 414
-53x = -477
Step3: Solve for x.
x = (-477) / (-53) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 6x = -12
Step3: Solve for x.
x = (-12) / 6 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -23x = -69
Step3: Solve for x.
x = (-69) / (-23) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-6)*(-5x - 6y) = (-6)*(-75) → 30x + 36y = 450
(-6)*(-8x - 6y) = (-6)*(-84) → 48x + 36y = 504
Step 2: Subtract the two new equations.
(30x + 36y)-(48x + 36y) = 450 - 504
-18x = -54
Step3: Solve for x.
x = (-54) / (-18) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | We are given the system:
-8x + 2y = 70
6x - 3y = -63
Step 1: Multiply to align y-coefficients.
(-3)*(-8x + 2y) = (-3)*70 → 24x - 6y = -210
2*(6x - 3y) = 2*(-63) → 12x - 6y = -126
Step 2: Subtract the two new equations.
(24x - 6y)-(12x - 6y) = (-210) - (-126)
12x = -84
Step3: Solve for x.
x = (-84) / 12 = -7
The... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | We are given the system:
6x + 5y = -8
3x + 6y = 3
Step 1: Multiply to align y-coefficients.
6*(6x + 5y) = 6*(-8) → 36x + 30y = -48
5*(3x + 6y) = 5*3 → 15x + 30y = 15
Step 2: Subtract the two new equations.
(36x + 30y)-(15x + 30y) = (-48) - 15
21x = -63
Step3: Solve for x.
x = (-63) / 21 = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(21x - 28y)-(20x - 28y) = (-350) - (-344)
1x = -6
Step3: Solve for x.
x = (-6) / 1 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 16x = -64
Step3: Solve for x.
x = (-64) / 16 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-10)*(3x + 4y) = (-10)*0 → -30x - 40y = 0
Step 2: Subtract the two new equations.
(32x - 40y)-(-30x - 40y) = (-248) - 0
62x = -248
Step3: Solve for x.
x = (-248) / 62 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-9)*(-7x + 4y) = (-9)*(-6) → 63x - 36y = 54
Step 2: Subtract the two new equations.
(-12x - 36y)-(63x - 36y) = 204 - 54
-75x = 150
Step3: Solve for x.
x = 150 / (-75) = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -41x = -82
Step3: Solve for x.
x = (-82) / (-41) = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-8x + 8y)-(12x + 8y) = (-48) - 32
-20x = -80
Step3: Solve for x.
x = (-80) / (-20) = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(15x + 6y)-(4x + 6y) = 42 - 20
11x = 22
Step3: Solve for x.
x = 22 / 11 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(9x - 9y)-(-3x - 9y) = (-9) - 3
12x = -12
Step3: Solve for x.
x = (-12) / 12 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
2*(9x + 9y) = 2*9 → 18x + 18y = 18
9*(-4x + 2y) = 9*(-34) → -36x + 18y = -306
Step 2: Subtract the two new equations.
(18x + 18y)-(-36x + 18y) = 18 - (-306)
54x = 324
Step3: Solve for x.
x = 324 / 54 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 24x = 72
Step3: Solve for x.
x = 72 / 24 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 0 / 36 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | We are given the system:
x + 5y = -54
2x - 8y = 54
Step 1: Multiply to align y-coefficients.
(-8)*(x + 5y) = (-8)*(-54) → -8x - 40y = 432
5*(2x - 8y) = 5*54 → 10x - 40y = 270
Step 2: Subtract the two new equations.
(-8x - 40y)-(10x - 40y) = 432 - 270
-18x = 162
Step3: Solve for x.
x = 162 / (-18) = -9
The answe... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
2*(8x - y) = 2*62 → 16x - 2y = 124
(-1)*(-9x + 2y) = (-1)*(-68) → 9x - 2y = 68
Step 2: Subtract the two new equations.
(16x - 2y)-(9x - 2y) = 124 - 68
7x = 56
Step3: Solve for x.
x = 56 / 7 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10*(2x + y) = 10*12 → 20x + 10y = 120
Step 2: Subtract the two new equations.
(-4x + 10y)-(20x + 10y) = 72 - 120
-24x = -48
Step3: Solve for x.
x = (-48) / (-24) = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | We are given the system:
-10x + 9y = 20
3x + 7y = 91
Step 1: Multiply to align y-coefficients.
7*(-10x + 9y) = 7*20 → -70x + 63y = 140
9*(3x + 7y) = 9*91 → 27x + 63y = 819
Step 2: Subtract the two new equations.
(-70x + 63y)-(27x + 63y) = 140 - 819
-97x = -679
Step3: Solve for x.
x = (-679) / (-97) = 7
The answ... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -1x = 9
Step3: Solve for x.
x = 9 / (-1) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(4x + 3y)-(3x + 3y) = (-40) - (-30)
1x = -10
Step3: Solve for x.
x = (-10) / 1 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-70x - 100y)-(100x - 100y) = (-690) - (-1200)
-170x = 510
Step3: Solve for x.
x = 510 / (-170) = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -27x = -189
Step3: Solve for x.
x = (-189) / (-27) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -6! | [
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**Engage Parallel Processing Mode:**
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You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -70x = -630
Step3: Solve for x.
x = (-630) / (-70) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 44x = -396
Step3: Solve for x.
x = (-396) / 44 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-21) / (-3) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 405 / 45 = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -48x = -144
Step3: Solve for x.
x = (-144) / (-48) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -50x = -300
Step3: Solve for x.
x = (-300) / (-50) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-7)*(9x + 6y) = (-7)*(-6) → -63x - 42y = 42
6*(-6x - 7y) = 6*7 → -36x - 42y = 42
Step 2: Subtract the two new equations.
(-63x - 42y)-(-36x - 42y) = 42 - 42
-27x = 0
Step3: Solve for x.
x = 0 / (-27) = -0
The answer: -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-21x - 15y)-(40x - 15y) = (-228) - 260
-61x = -488
Step3: Solve for x.
x = (-488) / (-61) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(12x + 24y)-(-16x + 24y) = (-288) - (-64)
28x = -224
Step3: Solve for x.
x = (-224) / 28 = -8
The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -24x = -72
Step3: Solve for x.
x = (-72) / (-24) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-144) / (-16) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10*(-x + 2y) = 10*(-22) → -10x + 20y = -220
Step 2: Subtract the two new equations.
(20x + 20y)-(-10x + 20y) = (-160) - (-220)
30x = 60
Step3: Solve for x.
x = 60 / 30 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
5*(-6x + y) = 5*51 → -30x + 5y = 255
1*(-5x + 5y) = 1*30 → -5x + 5y = 30
Step 2: Subtract the two new equations.
(-30x + 5y)-(-5x + 5y) = 255 - 30
-25x = 225
Step3: Solve for x.
x = 225 / (-25) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 85x = 765
Step3: Solve for x.
x = 765 / 85 = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-36x - 81y)-(-63x - 81y) = (-342) - (-234)
27x = -108
Step3: Solve for x.
x = (-108) / 27 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-5)*(2x + 2y) = (-5)*(-12) → -10x - 10y = 60
2*(6x - 5y) = 2*(-47) → 12x - 10y = -94
Step 2: Subtract the two new equations.
(-10x - 10y)-(12x - 10y) = 60 - (-94)
-22x = 154
Step3: Solve for x.
x = 154 / (-22) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-9)*(5x - 5y) = (-9)*(-10) → -45x + 45y = 90
(-5)*(-10x - 9y) = (-5)*(-151) → 50x + 45y = 755
Step 2: Subtract the two new equations.
(-45x + 45y)-(50x + 45y) = 90 - 755
-95x = -665
Step3: Solve for x.
x = (-665) / (-95) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-36x + 16y)-(-32x + 16y) = 108 - 96
-4x = 12
Step3: Solve for x.
x = 12 / (-4) = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(2x + 6y)-(18x + 6y) = 22 - (-42)
-16x = 64
Step3: Solve for x.
x = 64 / (-16) = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(10x + 40y)-(-4x + 40y) = 330 - 428
14x = -98
Step3: Solve for x.
x = (-98) / 14 = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-7)*(7x - 7y) = (-7)*(-56) → -49x + 49y = 392
Step 2: Subtract the two new equations.
(-14x + 49y)-(-49x + 49y) = 462 - 392
35x = 70
Step3: Solve for x.
x = 70 / 35 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 1*(-x + 3y) = 1*(-1) → -x + 3y = -1
Step 2: Subtract the two new equations.
(30x + 3y)-(-x + 3y) = (-156) - (-1)
31x = -155
Step3: Solve for x.
x = (-155) / 31 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 350 / 70 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-80x - 32y)-(28x - 32y) = 752 - (-4)
-108x = 756
Step3: Solve for x.
x = 756 / (-108) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
7*(5x - 7y) = 7*40 → 35x - 49y = 280
(-7)*(-8x + 7y) = (-7)*(-43) → 56x - 49y = 301
Step 2: Subtract the two new equations.
(35x - 49y)-(56x - 49y) = 280 - 301
-21x = -21
Step3: Solve for x.
x = (-21) / (-21) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10! | [
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0... |
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