instruction stringlengths 1.78k 2.94k | answer stringlengths 2 352 | input_ids listlengths 900 900 | labels listlengths 900 900 | attention_mask listlengths 900 900 |
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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 ... | -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 ... | 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.
(-20x - 50y)-(100x - 50y) = (-230) - (-950)
-120x = 720
Step3: Solve for x.
x = 720 / (-120) = -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: 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 ... | -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 ... | 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 2: Subtract the two new equations.
(-48x - 60y)-(80x - 60y) = 228 - 100
-128x = 128
Step3: Solve for x.
x = 128 / (-128) = -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 ... | -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: -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: 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 ... | (-3)*(5x + y) = (-3)*34 → -15x - 3y = -102
Step 2: Subtract the two new equations.
(x - 3y)-(-15x - 3y) = 10 - (-102)
16x = 112
Step3: Solve for x.
x = 112 / 16 = 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 ... | Step 2: Subtract the two new equations.
(14x - 63y)-(-54x - 63y) = 574 - 846
68x = -272
Step3: Solve for x.
x = (-272) / 68 = -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 ... | -92x = -184
Step3: Solve for x.
x = (-184) / (-92) = 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*(x + 4y) = 1*(-7) → x + 4y = -7
Step 2: Subtract the two new equations.
(4x + 4y)-(x + 4y) = (-16) - (-7)
3x = -9
Step3: Solve for x.
x = (-9) / 3 = -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 ... | 6*(-8x + y) = 6*8 → -48x + 6y = 48
Step 2: Subtract the two new equations.
(-9x + 6y)-(-48x + 6y) = 48 - 48
39x = 0
Step3: Solve for x.
x = 0 / 39 = 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.
1*(7x + 8y) = 1*(-36) → 7x + 8y = -36
8*(8x + y) = 8*24 → 64x + 8y = 192
Step 2: Subtract the two new equations.
(7x + 8y)-(64x + 8y) = (-36) - 192
-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 ... | Step 2: Subtract the two new equations.
(7x + 14y)-(-8x + 14y) = 140 - 50
15x = 90
Step3: Solve for x.
x = 90 / 15 = 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 ... | 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: 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.
8*(2x + 2y) = 8*24 → 16x + 16y = 192
2*(-2x + 8y) = 2*26 → -4x + 16y = 52
Step 2: Subtract the two new equations.
(16x + 16y)-(-4x + 16y) = 192 - 52
20x = 140
Step3: Solve for x.
x = 140 / 20 = 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 ... | Step 1: Multiply to align y-coefficients.
10*(-2x - 3y) = 10*25 → -20x - 30y = 250
(-3)*(8x + 10y) = (-3)*(-82) → -24x - 30y = 246
Step 2: Subtract the two new equations.
(-20x - 30y)-(-24x - 30y) = 250 - 246
4x = 4
Step3: Solve for x.
x = 4 / 4 = 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.
9*(10x - 4y) = 9*(-26) → 90x - 36y = -234
(-4)*(-9x + 9y) = (-4)*18 → 36x - 36y = -72
Step 2: Subtract the two new equations.
(90x - 36y)-(36x - 36y) = (-234) - (-72)
54x = -162
Step3: Solve for x.
x = (-162) / 54 = -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.
(36x - 54y)-(60x - 54y) = 504 - 696
-24x = -192
Step3: Solve for x.
x = (-192) / (-24) = 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 ... | 108x = 0
Step3: Solve for x.
x = 0 / 108 = 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.
8*(7x - y) = 8*8 → 56x - 8y = 64
(-1)*(-10x + 8y) = (-1)*(-18) → 10x - 8y = 18
Step 2: Subtract the two new equations.
(56x - 8y)-(10x - 8y) = 64 - 18
46x = 46
Step3: Solve for x.
x = 46 / 46 = 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.
(-1)*(-8x - 9y) = (-1)*(-82) → 8x + 9y = 82
(-9)*(-5x - y) = (-9)*(-42) → 45x + 9y = 378
Step 2: Subtract the two new equations.
(8x + 9y)-(45x + 9y) = 82 - 378
-37x = -296
Step3: Solve for x.
x = (-296) / (-37) = 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 ... | 2*(2x + 2y) = 2*20 → 4x + 4y = 40
Step 2: Subtract the two new equations.
(-2x + 4y)-(4x + 4y) = (-8) - 40
-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 specific ... | -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 ... | -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 ... | Step3: Solve for x.
x = (-25) / (-5) = 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)*(-7x + 6y) = (-10)*23 → 70x - 60y = -230
Step 2: Subtract the two new equations.
(-54x - 60y)-(70x - 60y) = 390 - (-230)
-124x = 620
Step3: Solve for x.
x = 620 / (-124) = -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.
10*(-x + 7y) = 10*0 → -10x + 70y = 0
7*(-9x + 10y) = 7*(-53) → -63x + 70y = -371
Step 2: Subtract the two new equations.
(-10x + 70y)-(-63x + 70y) = 0 - (-371)
53x = 371
Step3: Solve for x.
x = 371 / 53 = 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)*(-x + 8y) = (-3)*30 → 3x - 24y = -90
Step 2: Subtract the two new equations.
(-24y)-(3x - 24y) = (-120) - (-90)
-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 specific ... | Step3: Solve for x.
x = 114 / (-38) = -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 ... | 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 ... | -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 ... | 12x = 36
Step3: Solve for x.
x = 36 / 12 = 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 1: Multiply to align y-coefficients.
6*(-6x + 2y) = 6*36 → -36x + 12y = 216
2*(10x + 6y) = 2*(-32) → 20x + 12y = -64
Step 2: Subtract the two new equations.
(-36x + 12y)-(20x + 12y) = 216 - (-64)
-56x = 280
Step3: Solve for x.
x = 280 / (-56) = -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 ... | -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: -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 ... | -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 ... | 3*(-3x + 6y) = 3*75 → -9x + 18y = 225
Step 2: Subtract the two new equations.
(6x + 18y)-(-9x + 18y) = 120 - 225
15x = -105
Step3: Solve for x.
x = (-105) / 15 = -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 ... | 52x = 104
Step3: Solve for x.
x = 104 / 52 = 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 ... | 2*(x - 7y) = 2*(-16) → 2x - 14y = -32
Step 2: Subtract the two new equations.
(-70x - 14y)-(2x - 14y) = (-392) - (-32)
-72x = -360
Step3: Solve for x.
x = (-360) / (-72) = 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 ... | We are given the system:
4x + 2y = 30
x - 8y = 50
Step 1: Multiply to align y-coefficients.
(-8)*(4x + 2y) = (-8)*30 → -32x - 16y = -240
2*(x - 8y) = 2*50 → 2x - 16y = 100
Step 2: Subtract the two new equations.
(-32x - 16y)-(2x - 16y) = (-240) - 100
-34x = -340
Step3: Solve for x.
x = (-340) / (-34) = 10
The a... | [
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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)*(x + 3y) = (-1)*(-5) → -x - 3y = 5
Step 2: Subtract the two new equations.
(9x - 3y)-(-x - 3y) = (-75) - 5
10x = -80
Step3: Solve for x.
x = (-80) / 10 = -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.
(-4)*(2x + 8y) = (-4)*(-20) → -8x - 32y = 80
8*(-10x - 4y) = 8*28 → -80x - 32y = 224
Step 2: Subtract the two new equations.
(-8x - 32y)-(-80x - 32y) = 80 - 224
72x = -144
Step3: Solve for x.
x = (-144) / 72 = -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 ... | Step3: Solve for x.
x = (-75) / (-25) = 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 ... | -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.
(12x + 24y)-(-32x + 24y) = (-168) - 184
44x = -352
Step3: Solve for x.
x = (-352) / 44 = -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 ... | -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 ... | -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 ... | 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 1: Multiply to align y-coefficients.
2*(-7x + 7y) = 2*105 → -14x + 14y = 210
7*(2x + 2y) = 7*(-10) → 14x + 14y = -70
Step 2: Subtract the two new equations.
(-14x + 14y)-(14x + 14y) = 210 - (-70)
-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 ... | 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 ... | 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 ... | -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 specific ... | 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 ... | 57x = -399
Step3: Solve for x.
x = (-399) / 57 = -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: -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 ... | (-7)*(-x + 9y) = (-7)*(-72) → 7x - 63y = 504
Step 2: Subtract the two new equations.
(-81x - 63y)-(7x - 63y) = 504 - 504
-88x = 0
Step3: Solve for x.
x = 0 / (-88) = -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 ... | -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 = 0 / 33 = 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: 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 ... | Step 1: Multiply to align y-coefficients.
10*(-9x - 2y) = 10*(-14) → -90x - 20y = -140
(-2)*(-3x + 10y) = (-2)*70 → 6x - 20y = -140
Step 2: Subtract the two new equations.
(-90x - 20y)-(6x - 20y) = (-140) - (-140)
-96x = 0
Step3: Solve for x.
x = 0 / (-96) = -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.
2*(5x + 9y) = 2*(-14) → 10x + 18y = -28
9*(5x + 2y) = 9*(-7) → 45x + 18y = -63
Step 2: Subtract the two new equations.
(10x + 18y)-(45x + 18y) = (-28) - (-63)
-35x = 35
Step3: Solve for x.
x = 35 / (-35) = -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 ... | 69x = -138
Step3: Solve for x.
x = (-138) / 69 = -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 ... | Step 2: Subtract the two new equations.
(x - 5y)-(-15x - 5y) = 2 - (-30)
16x = 32
Step3: Solve for x.
x = 32 / 16 = 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 ... | -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 ... | 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 2: Subtract the two new equations.
(24x - 15y)-(5x - 15y) = 270 - 80
19x = 190
Step3: Solve for x.
x = 190 / 19 = 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 = 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.
7*(6x + 2y) = 7*40 → 42x + 14y = 280
2*(5x + 7y) = 2*60 → 10x + 14y = 120
Step 2: Subtract the two new equations.
(42x + 14y)-(10x + 14y) = 280 - 120
32x = 160
Step3: Solve for x.
x = 160 / 32 = 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 2: Subtract the two new equations.
(9x + 18y)-(6x + 18y) = (-9) - (-6)
3x = -3
Step3: Solve for x.
x = (-3) / 3 = -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.
(-8)*(-4x + 7y) = (-8)*57 → 32x - 56y = -456
7*(5x - 8y) = 7*(-66) → 35x - 56y = -462
Step 2: Subtract the two new equations.
(32x - 56y)-(35x - 56y) = (-456) - (-462)
-3x = 6
Step3: Solve for x.
x = 6 / (-3) = -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 ... | Step 2: Subtract the two new equations.
(-30x - 20y)-(-20y) = (-180) - 60
-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 ... | 4x = -28
Step3: Solve for x.
x = (-28) / 4 = -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 = (-390) / 65 = -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 ... | We are given the system:
-x - 10y = 110
-3x + 4y = -10
Step 1: Multiply to align y-coefficients.
4*(-x - 10y) = 4*110 → -4x - 40y = 440
(-10)*(-3x + 4y) = (-10)*(-10) → 30x - 40y = 100
Step 2: Subtract the two new equations.
(-4x - 40y)-(30x - 40y) = 440 - 100
-34x = 340
Step3: Solve for x.
x = 340 / (-34) = -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! | [
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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 ... | -14x = -56
Step3: Solve for x.
x = (-56) / (-14) = 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 1: Multiply to align y-coefficients.
(-6)*(4x - 3y) = (-6)*33 → -24x + 18y = -198
(-3)*(-x - 6y) = (-3)*(-15) → 3x + 18y = 45
Step 2: Subtract the two new equations.
(-24x + 18y)-(3x + 18y) = (-198) - 45
-27x = -243
Step3: Solve for x.
x = (-243) / (-27) = 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 ... | 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)*(-4x + 8y) = (-4)*76 → 16x - 32y = -304
8*(3x - 4y) = 8*(-39) → 24x - 32y = -312
Step 2: Subtract the two new equations.
(16x - 32y)-(24x - 32y) = (-304) - (-312)
-8x = 8
Step3: Solve for x.
x = 8 / (-8) = -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 ... | -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.
5*(-4x + 8y) = 5*92 → -20x + 40y = 460
8*(-5x + 5y) = 8*65 → -40x + 40y = 520
Step 2: Subtract the two new equations.
(-20x + 40y)-(-40x + 40y) = 460 - 520
20x = -60
Step3: Solve for x.
x = (-60) / 20 = -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 ... | -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 1: Multiply to align y-coefficients.
(-1)*(-x - 5y) = (-1)*(-5) → x + 5y = 5
(-5)*(-5x - y) = (-5)*(-1) → 25x + 5y = 5
Step 2: Subtract the two new equations.
(x + 5y)-(25x + 5y) = 5 - 5
-24x = 0
Step3: Solve for x.
x = 0 / (-24) = -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*(5x + 8y) = 6*(-13) → 30x + 48y = -78
8*(9x + 6y) = 8*(-57) → 72x + 48y = -456
Step 2: Subtract the two new equations.
(30x + 48y)-(72x + 48y) = (-78) - (-456)
-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 ... | Step3: Solve for x.
x = (-60) / 15 = -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 ... | Step3: Solve for x.
x = 84 / (-21) = -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 ... | 81x = 810
Step3: Solve for x.
x = 810 / 81 = 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.
2*(5x - y) = 2*(-36) → 10x - 2y = -72
(-1)*(10x + 2y) = (-1)*(-108) → -10x - 2y = 108
Step 2: Subtract the two new equations.
(10x - 2y)-(-10x - 2y) = (-72) - 108
20x = -180
Step3: Solve for x.
x = (-180) / 20 = -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 ... | 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.
4*(-6x - 9y) = 4*(-84) → -24x - 36y = -336
(-9)*(-7x + 4y) = (-9)*18 → 63x - 36y = -162
Step 2: Subtract the two new equations.
(-24x - 36y)-(63x - 36y) = (-336) - (-162)
-87x = -174
Step3: Solve for x.
x = (-174) / (-87) = 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)*(-6x + 5y) = (-3)*(-10) → 18x - 15y = 30
Step 2: Subtract the two new equations.
(-30x - 15y)-(18x - 15y) = 270 - 30
-48x = 240
Step3: Solve for x.
x = 240 / (-48) = -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 ... | 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 ... | 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 ... | 1! | [
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