instruction stringlengths 1.78k 3.03k | answer stringlengths 2 342 | 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 specific ... | Step 1: Multiply to align y-coefficients.
(-8)*(6x - 10y) = (-8)*4 → -48x + 80y = -32
(-10)*(3x - 8y) = (-10)*14 → -30x + 80y = -140
Step 2: Subtract the two new equations.
(-48x + 80y)-(-30x + 80y) = (-32) - (-140)
-18x = 108
Step3: Solve for x.
x = 108 / (-18) = -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 specific ... | The answer: 2! | [
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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 specific ... | -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 specific ... | (-6)*(8x + 4y) = (-6)*(-108) → -48x - 24y = 648
Step 2: Subtract the two new equations.
(24x - 24y)-(-48x - 24y) = (-72) - 648
72x = -720
Step3: Solve for x.
x = (-720) / 72 = -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 specific ... | 9*(10x - y) = 9*64 → 90x - 9y = 576
Step 2: Subtract the two new equations.
(9x - 9y)-(90x - 9y) = 9 - 576
-81x = -567
Step3: Solve for x.
x = (-567) / (-81) = 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 specific ... | (-8)*(-7x - 10y) = (-8)*(-30) → 56x + 80y = 240
Step 2: Subtract the two new equations.
(60x + 80y)-(56x + 80y) = 280 - 240
4x = 40
Step3: Solve for x.
x = 40 / 4 = 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 specific ... | Step3: Solve for x.
x = 27 / (-27) = -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 specific ... | Step3: Solve for x.
x = (-240) / (-60) = 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 specific ... | Step 2: Subtract the two new equations.
(-28x - 14y)-(-8x - 14y) = (-308) - (-148)
-20x = -160
Step3: Solve for x.
x = (-160) / (-20) = 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 specific ... | 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 specific ... | 2*(-3x - 7y) = 2*71 → -6x - 14y = 142
Step 2: Subtract the two new equations.
(63x - 14y)-(-6x - 14y) = (-203) - 142
69x = -345
Step3: Solve for x.
x = (-345) / 69 = -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 specific ... | 22x = -44
Step3: Solve for x.
x = (-44) / 22 = -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 specific ... | -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 specific ... | (-5)*(9x + 3y) = (-5)*(-33) → -45x - 15y = 165
Step 2: Subtract the two new equations.
(-24x - 15y)-(-45x - 15y) = 60 - 165
21x = -105
Step3: Solve for x.
x = (-105) / 21 = -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 specific ... | 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 specific ... | 7*(-2x + 10y) = 7*64 → -14x + 70y = 448
Step 2: Subtract the two new equations.
(80x + 70y)-(-14x + 70y) = (-210) - 448
94x = -658
Step3: Solve for x.
x = (-658) / 94 = -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 specific ... | Step3: Solve for x.
x = (-120) / (-24) = 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 specific ... | Step 1: Multiply to align y-coefficients.
1*(9x + 9y) = 1*135 → 9x + 9y = 135
9*(-6x + y) = 9*(-27) → -54x + 9y = -243
Step 2: Subtract the two new equations.
(9x + 9y)-(-54x + 9y) = 135 - (-243)
63x = 378
Step3: Solve for x.
x = 378 / 63 = 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 specific ... | Step 2: Subtract the two new equations.
(-35x + 7y)-(-6x + 7y) = (-252) - (-78)
-29x = -174
Step3: Solve for x.
x = (-174) / (-29) = 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 specific ... | Step3: Solve for x.
x = 86 / 43 = 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.
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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 specific ... | -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 specific ... | 5*(8x + 7y) = 5*78 → 40x + 35y = 390
Step 2: Subtract the two new equations.
(14x + 35y)-(40x + 35y) = 364 - 390
-26x = -26
Step3: Solve for x.
x = (-26) / (-26) = 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 specific ... | Step 1: Multiply to align y-coefficients.
(-5)*(-6x - 4y) = (-5)*(-38) → 30x + 20y = 190
(-4)*(-7x - 5y) = (-4)*(-43) → 28x + 20y = 172
Step 2: Subtract the two new equations.
(30x + 20y)-(28x + 20y) = 190 - 172
2x = 18
Step3: Solve for x.
x = 18 / 2 = 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 specific ... | 17x = -102
Step3: Solve for x.
x = (-102) / 17 = -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 specific ... | 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 specific ... | We are given the system:
8x - y = 90
-4x + 3y = -70
Step 1: Multiply to align y-coefficients.
3*(8x - y) = 3*90 → 24x - 3y = 270
(-1)*(-4x + 3y) = (-1)*(-70) → 4x - 3y = 70
Step 2: Subtract the two new equations.
(24x - 3y)-(4x - 3y) = 270 - 70
20x = 200
Step3: Solve for x.
x = 200 / 20 = 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 specific ... | Step 1: Multiply to align y-coefficients.
(-3)*(10x + 2y) = (-3)*(-52) → -30x - 6y = 156
2*(-9x - 3y) = 2*42 → -18x - 6y = 84
Step 2: Subtract the two new equations.
(-30x - 6y)-(-18x - 6y) = 156 - 84
-12x = 72
Step3: Solve for x.
x = 72 / (-12) = -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 specific ... | (-2)*(10x - 8y) = (-2)*16 → -20x + 16y = -32
Step 2: Subtract the two new equations.
(-24x + 16y)-(-20x + 16y) = (-48) - (-32)
-4x = -16
Step3: Solve for x.
x = (-16) / (-4) = 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 specific ... | 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 specific ... | Step 1: Multiply to align y-coefficients.
9*(-x + 7y) = 9*(-14) → -9x + 63y = -126
7*(-4x + 9y) = 7*1 → -28x + 63y = 7
Step 2: Subtract the two new equations.
(-9x + 63y)-(-28x + 63y) = (-126) - 7
19x = -133
Step3: Solve for x.
x = (-133) / 19 = -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 specific ... | 3*(9x - 2y) = 3*40 → 27x - 6y = 120
Step 2: Subtract the two new equations.
(20x - 6y)-(27x - 6y) = 92 - 120
-7x = -28
Step3: Solve for x.
x = (-28) / (-7) = 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 specific ... | 3*(-3x - 3y) = 3*18 → -9x - 9y = 54
Step 2: Subtract the two new equations.
(18x - 9y)-(-9x - 9y) = 27 - 54
27x = -27
Step3: Solve for x.
x = (-27) / 27 = -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 specific ... | Step 1: Multiply to align y-coefficients.
(-4)*(-7x + 3y) = (-4)*4 → 28x - 12y = -16
3*(-2x - 4y) = 3*6 → -6x - 12y = 18
Step 2: Subtract the two new equations.
(28x - 12y)-(-6x - 12y) = (-16) - 18
34x = -34
Step3: Solve for x.
x = (-34) / 34 = -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 specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(-2x - 6y) = (-6)*42 → 12x + 36y = -252
(-6)*(5x - 6y) = (-6)*105 → -30x + 36y = -630
Step 2: Subtract the two new equations.
(12x + 36y)-(-30x + 36y) = (-252) - (-630)
42x = 378
Step3: Solve for x.
x = 378 / 42 = 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 specific ... | Step 2: Subtract the two new equations.
(-72x - 54y)-(-42x - 54y) = 756 - 576
-30x = 180
Step3: Solve for x.
x = 180 / (-30) = -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 specific ... | 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 specific ... | 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 specific ... | Step 1: Multiply to align y-coefficients.
2*10y = 2*100 → 20y = 200
10*(-8x + 2y) = 10*(-60) → -80x + 20y = -600
Step 2: Subtract the two new equations.
20y-(-80x + 20y) = 200 - (-600)
80x = 800
Step3: Solve for x.
x = 800 / 80 = 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 specific ... | (-1)*(-2x + 4y) = (-1)*28 → 2x - 4y = -28
Step 2: Subtract the two new equations.
(24x - 4y)-(2x - 4y) = (-116) - (-28)
22x = -88
Step3: Solve for x.
x = (-88) / 22 = -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 specific ... | 1*(-7x - 5y) = 1*8 → -7x - 5y = 8
Step 2: Subtract the two new equations.
(50x - 5y)-(-7x - 5y) = (-220) - 8
57x = -228
Step3: Solve for x.
x = (-228) / 57 = -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 specific ... | -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 specific ... | 6*(-3x + 9y) = 6*27 → -18x + 54y = 162
Step 2: Subtract the two new equations.
(9x + 54y)-(-18x + 54y) = 162 - 162
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 specific ... | 17x = 85
Step3: Solve for x.
x = 85 / 17 = 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 specific ... | -70x = 70
Step3: Solve for x.
x = 70 / (-70) = -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 specific ... | 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 specific ... | -46x = 138
Step3: Solve for x.
x = 138 / (-46) = -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 specific ... | 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 specific ... | 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 specific ... | -48x = 384
Step3: Solve for x.
x = 384 / (-48) = -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 specific ... | Step 1: Multiply to align y-coefficients.
7*(2x + 3y) = 7*33 → 14x + 21y = 231
3*(7x + 7y) = 3*84 → 21x + 21y = 252
Step 2: Subtract the two new equations.
(14x + 21y)-(21x + 21y) = 231 - 252
-7x = -21
Step3: Solve for x.
x = (-21) / (-7) = 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 specific ... | (-9)*(-3x - 8y) = (-9)*6 → 27x + 72y = -54
Step 2: Subtract the two new equations.
(-24x + 72y)-(27x + 72y) = 456 - (-54)
-51x = 510
Step3: Solve for x.
x = 510 / (-51) = -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 specific ... | Step3: Solve for x.
x = 0 / (-75) = -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 specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(9x + 10y) = (-6)*35 → -54x - 60y = -210
10*(2x - 6y) = 10*16 → 20x - 60y = 160
Step 2: Subtract the two new equations.
(-54x - 60y)-(20x - 60y) = (-210) - 160
-74x = -370
Step3: Solve for x.
x = (-370) / (-74) = 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 specific ... | (-8)*(9x + 6y) = (-8)*(-42) → -72x - 48y = 336
Step 2: Subtract the two new equations.
(-18x - 48y)-(-72x - 48y) = 336 - 336
54x = 0
Step3: Solve for x.
x = 0 / 54 = 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 specific ... | 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 specific ... | (-8)*(7x + 9y) = (-8)*34 → -56x - 72y = -272
Step 2: Subtract the two new equations.
(-63x - 72y)-(-56x - 72y) = (-342) - (-272)
-7x = -70
Step3: Solve for x.
x = (-70) / (-7) = 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 specific ... | Step 2: Subtract the two new equations.
(-25x + 45y)-(36x + 45y) = 110 - 720
-61x = -610
Step3: Solve for x.
x = (-610) / (-61) = 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 specific ... | -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 specific ... | Step 1: Multiply to align y-coefficients.
(-8)*(-9x + 10y) = (-8)*(-71) → 72x - 80y = 568
10*(-2x - 8y) = 10*66 → -20x - 80y = 660
Step 2: Subtract the two new equations.
(72x - 80y)-(-20x - 80y) = 568 - 660
92x = -92
Step3: Solve for x.
x = (-92) / 92 = -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 specific ... | Step3: Solve for x.
x = 150 / (-30) = -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 specific ... | Step3: Solve for x.
x = (-936) / 104 = -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 specific ... | Step 2: Subtract the two new equations.
(-16x - 40y)-(-30x - 40y) = 288 - 400
14x = -112
Step3: Solve for x.
x = (-112) / 14 = -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 specific ... | Step 2: Subtract the two new equations.
(-8x - 8y)-(2x - 8y) = 112 - 42
-10x = 70
Step3: Solve for x.
x = 70 / (-10) = -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 specific ... | 6*(5x - 3y) = 6*33 → 30x - 18y = 198
Step 2: Subtract the two new equations.
(21x - 18y)-(30x - 18y) = 171 - 198
-9x = -27
Step3: Solve for x.
x = (-27) / (-9) = 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 specific ... | Step 2: Subtract the two new equations.
(-40x + 15y)-(6x + 15y) = 0 - 138
-46x = -138
Step3: Solve for x.
x = (-138) / (-46) = 3
The answer: 3! | [
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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 specific ... | Step3: Solve for x.
x = (-168) / 24 = -7
The answer: -7! | [
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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 specific ... | 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 specific ... | The answer: 8! | [
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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 specific ... | 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 specific ... | 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 specific ... | 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 specific ... | The answer: 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 specific ... | 76x = -228
Step3: Solve for x.
x = (-228) / 76 = -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 specific ... | Step 2: Subtract the two new equations.
(8x + 6y)-(-3x + 6y) = 74 - 30
11x = 44
Step3: Solve for x.
x = 44 / 11 = 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 specific ... | 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 specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(-8x - 3y) = (-6)*(-104) → 48x + 18y = 624
(-3)*(-4x - 6y) = (-3)*(-88) → 12x + 18y = 264
Step 2: Subtract the two new equations.
(48x + 18y)-(12x + 18y) = 624 - 264
36x = 360
Step3: Solve for x.
x = 360 / 36 = 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 specific ... | 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 specific ... | 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 specific ... | We are given the system:
7x + y = 36
-3x - 8y = -23
Step 1: Multiply to align y-coefficients.
(-8)*(7x + y) = (-8)*36 → -56x - 8y = -288
1*(-3x - 8y) = 1*(-23) → -3x - 8y = -23
Step 2: Subtract the two new equations.
(-56x - 8y)-(-3x - 8y) = (-288) - (-23)
-53x = -265
Step3: Solve for x.
x = (-265) / (-53) = 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 specific ... | 10*(3x + 9y) = 10*99 → 30x + 90y = 990
Step 2: Subtract the two new equations.
90y-(30x + 90y) = 720 - 990
-30x = -270
Step3: Solve for x.
x = (-270) / (-30) = 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 specific ... | -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 specific ... | 3*(4x - 3y) = 3*53 → 12x - 9y = 159
Step 2: Subtract the two new equations.
(-6x - 9y)-(12x - 9y) = 15 - 159
-18x = -144
Step3: Solve for x.
x = (-144) / (-18) = 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 specific ... | We are given the system:
-3x + 6y = 60
-4y = -20
Step 1: Multiply to align y-coefficients.
(-4)*(-3x + 6y) = (-4)*60 → 12x - 24y = -240
6*(-4y) = 6*(-20) → -24y = -120
Step 2: Subtract the two new equations.
(12x - 24y)-(-24y) = (-240) - (-120)
12x = -120
Step3: Solve for x.
x = (-120) / 12 = -10
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 specific ... | Step 2: Subtract the two new equations.
(56x + 80y)-(-80x + 80y) = 928 - (-160)
136x = 1088
Step3: Solve for x.
x = 1088 / 136 = 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 specific ... | Step 2: Subtract the two new equations.
(-30x - 21y)-(-21y) = 93 - (-147)
-30x = 240
Step3: Solve for x.
x = 240 / (-30) = -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 specific ... | 5*(-10x - 8y) = 5*(-24) → -50x - 40y = -120
Step 2: Subtract the two new equations.
(-56x - 40y)-(-50x - 40y) = (-144) - (-120)
-6x = -24
Step3: Solve for x.
x = (-24) / (-6) = 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 specific ... | Step 2: Subtract the two new equations.
(x - 9y)-(-18x - 9y) = 43 - 81
19x = -38
Step3: Solve for x.
x = (-38) / 19 = -2
The answer: -2! | [
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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 specific ... | 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 specific ... | (-4)*(7x - 5y) = (-4)*45 → -28x + 20y = -180
Step 2: Subtract the two new equations.
20y-(-28x + 20y) = 100 - (-180)
28x = 280
Step3: Solve for x.
x = 280 / 28 = 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 specific ... | Step 1: Multiply to align y-coefficients.
10*(10x + 2y) = 10*(-98) → 100x + 20y = -980
2*(9x + 10y) = 2*(-121) → 18x + 20y = -242
Step 2: Subtract the two new equations.
(100x + 20y)-(18x + 20y) = (-980) - (-242)
82x = -738
Step3: Solve for x.
x = (-738) / 82 = -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 specific ... | -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 specific ... | We are given the system:
-2x - 3y = 18
-3x - 5y = 32
Step 1: Multiply to align y-coefficients.
(-5)*(-2x - 3y) = (-5)*18 → 10x + 15y = -90
(-3)*(-3x - 5y) = (-3)*32 → 9x + 15y = -96
Step 2: Subtract the two new equations.
(10x + 15y)-(9x + 15y) = (-90) - (-96)
1x = 6
Step3: Solve for x.
x = 6 / 1 = 6
The answer... | [
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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 specific ... | Step 1: Multiply to align y-coefficients.
(-3)*(-x + 3y) = (-3)*(-22) → 3x - 9y = 66
3*(3x - 3y) = 3*18 → 9x - 9y = 54
Step 2: Subtract the two new equations.
(3x - 9y)-(9x - 9y) = 66 - 54
-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 specific ... | -26x = 234
Step3: Solve for x.
x = 234 / (-26) = -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 specific ... | 1*(-2x + 4y) = 1*18 → -2x + 4y = 18
Step 2: Subtract the two new equations.
(-28x + 4y)-(-2x + 4y) = 200 - 18
-26x = 182
Step3: Solve for x.
x = 182 / (-26) = -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 specific ... | 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 specific ... | Step 2: Subtract the two new equations.
(-12x + 30y)-(-35x + 30y) = (-216) - (-55)
23x = -161
Step3: Solve for x.
x = (-161) / 23 = -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 specific ... | 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 specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(-x - 2y) = (-6)*(-18) → 6x + 12y = 108
(-2)*(-8x - 6y) = (-2)*(-94) → 16x + 12y = 188
Step 2: Subtract the two new equations.
(6x + 12y)-(16x + 12y) = 108 - 188
-10x = -80
Step3: Solve for x.
x = (-80) / (-10) = 8
The answer: 8! | [
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