instruction stringlengths 1.75k 2.96k | answer stringlengths 2 346 | input_ids listlengths 900 900 | labels listlengths 900 900 | attention_mask listlengths 900 900 |
|---|---|---|---|---|
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
6*(-5x - 9y) = 6*(-112) → -30x - 54y = -672
(-9)*(3x + 6y) = (-9)*72 → -27x - 54y = -648
Step 2: Subtract the two new equations.
(-30x - 54y)-(-27x - 54y) = (-672) - (-648)
-3x = -24
Step3: Solve for x.
x = (-24) / (-3) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -90x = 630
Step3: Solve for x.
x = 630 / (-90) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-10)*(-7x - 6y) = (-10)*19 → 70x + 60y = -190
(-6)*(5x - 10y) = (-6)*15 → -30x + 60y = -90
Step 2: Subtract the two new equations.
(70x + 60y)-(-30x + 60y) = (-190) - (-90)
100x = -100
Step3: Solve for x.
x = (-100) / 100 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-80x + 100y)-(-20x + 100y) = 720 - 780
-60x = -60
Step3: Solve for x.
x = (-60) / (-60) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
1*(-5x - 8y) = 1*(-60) → -5x - 8y = -60
(-8)*(4x + y) = (-8)*21 → -32x - 8y = -168
Step 2: Subtract the two new equations.
(-5x - 8y)-(-32x - 8y) = (-60) - (-168)
27x = 108
Step3: Solve for x.
x = 108 / 27 = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -34x = 170
Step3: Solve for x.
x = 170 / (-34) = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 360 / (-60) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 28 / 28 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-3)*(3x - 4y) = (-3)*(-3) → -9x + 12y = 9
(-4)*(-2x - 3y) = (-4)*36 → 8x + 12y = -144
Step 2: Subtract the two new equations.
(-9x + 12y)-(8x + 12y) = 9 - (-144)
-17x = 153
Step3: Solve for x.
x = 153 / (-17) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
6*(5x - 5y) = 6*(-40) → 30x - 30y = -240
(-5)*(-5x + 6y) = (-5)*48 → 25x - 30y = -240
Step 2: Subtract the two new equations.
(30x - 30y)-(25x - 30y) = (-240) - (-240)
5x = 0
Step3: Solve for x.
x = 0 / 5 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -10x = -10
Step3: Solve for x.
x = (-10) / (-10) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-3)*(9x + 5y) = (-3)*(-38) → -27x - 15y = 114
5*(-3x - 3y) = 5*6 → -15x - 15y = 30
Step 2: Subtract the two new equations.
(-27x - 15y)-(-15x - 15y) = 114 - 30
-12x = 84
Step3: Solve for x.
x = 84 / (-12) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 172 / (-43) = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(54x + 9y)-(-x + 9y) = 216 - (-59)
55x = 275
Step3: Solve for x.
x = 275 / 55 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-35x + 7y)-(7x + 7y) = 357 - (-21)
-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 spec... | Step 2: Subtract the two new equations.
(-20x + 30y)-(-42x + 30y) = 70 - (-150)
22x = 220
Step3: Solve for x.
x = 220 / 22 = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-7)*(-6x + 7y) = (-7)*29 → 42x - 49y = -203
Step 2: Subtract the two new equations.
(-42x - 49y)-(42x - 49y) = 301 - (-203)
-84x = 504
Step3: Solve for x.
x = 504 / (-84) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-4)*(-x - 9y) = (-4)*(-5) → 4x + 36y = 20
Step 2: Subtract the two new equations.
(54x + 36y)-(4x + 36y) = 270 - 20
50x = 250
Step3: Solve for x.
x = 250 / 50 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -53x = -424
Step3: Solve for x.
x = (-424) / (-53) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
5*(-5x + 7y) = 5*(-28) → -25x + 35y = -140
7*(-5x + 5y) = 7*(-10) → -35x + 35y = -70
Step 2: Subtract the two new equations.
(-25x + 35y)-(-35x + 35y) = (-140) - (-70)
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 spec... | 6*(4x - 4y) = 6*36 → 24x - 24y = 216
Step 2: Subtract the two new equations.
(-20x - 24y)-(24x - 24y) = (-92) - 216
-44x = -308
Step3: Solve for x.
x = (-308) / (-44) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(80x + 48y)-(-54x + 48y) = (-1136) - 204
134x = -1340
Step3: Solve for x.
x = (-1340) / 134 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(18x - 16y)-(-32x - 16y) = (-112) - 288
50x = -400
Step3: Solve for x.
x = (-400) / 50 = -8
The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(56x + 40y)-(-25x + 40y) = 168 - 330
81x = -162
Step3: Solve for x.
x = (-162) / 81 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-320) / (-32) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -8x = 56
Step3: Solve for x.
x = 56 / (-8) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -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 spec... | Step 2: Subtract the two new equations.
(x - 9y)-(-36x - 9y) = (-3) - (-225)
37x = 222
Step3: Solve for x.
x = 222 / 37 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(32x + 32y)-(-32x + 32y) = 320 - (-192)
64x = 512
Step3: Solve for x.
x = 512 / 64 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 120 / 12 = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(40x - 20y)-(25x - 20y) = 260 - 185
15x = 75
Step3: Solve for x.
x = 75 / 15 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-1)*(-5x - 4y) = (-1)*70 → 5x + 4y = -70
(-4)*(-2x - y) = (-4)*25 → 8x + 4y = -100
Step 2: Subtract the two new equations.
(5x + 4y)-(8x + 4y) = (-70) - (-100)
-3x = 30
Step3: Solve for x.
x = 30 / (-3) = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 130 / 13 = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | We are given the system:
10y = -70
-5x - 6y = 27
Step 1: Multiply to align y-coefficients.
(-6)*10y = (-6)*(-70) → -60y = 420
10*(-5x - 6y) = 10*27 → -50x - 60y = 270
Step 2: Subtract the two new equations.
(-60y)-(-50x - 60y) = 420 - 270
50x = 150
Step3: Solve for x.
x = 150 / 50 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-84) / 84 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 45 / 5 = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-32x + 16y)-(-16x + 16y) = 80 - (-32)
-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 spec... | Step 2: Subtract the two new equations.
(20x - 20y)-(2x - 20y) = 40 - (-50)
18x = 90
Step3: Solve for x.
x = 90 / 18 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
1*(-x + 4y) = 1*(-3) → -x + 4y = -3
4*(2x + y) = 4*(-3) → 8x + 4y = -12
Step 2: Subtract the two new equations.
(-x + 4y)-(8x + 4y) = (-3) - (-12)
-9x = 9
Step3: Solve for x.
x = 9 / (-9) = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
7*(4x - 4y) = 7*36 → 28x - 28y = 252
(-4)*(6x + 7y) = (-4)*(-63) → -24x - 28y = 252
Step 2: Subtract the two new equations.
(28x - 28y)-(-24x - 28y) = 252 - 252
52x = 0
Step3: Solve for x.
x = 0 / 52 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 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 spec... | -39x = 351
Step3: Solve for x.
x = 351 / (-39) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 20 / 10 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 0 / (-4) = -0
The answer: -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-69) / 69 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-9)*(10x + 3y) = (-9)*(-52) → -90x - 27y = 468
3*(-9x - 9y) = 3*72 → -27x - 27y = 216
Step 2: Subtract the two new equations.
(-90x - 27y)-(-27x - 27y) = 468 - 216
-63x = 252
Step3: Solve for x.
x = 252 / (-63) = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(6x - 10y)-(-40x - 10y) = 64 - 110
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 spec... | 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-2)*(9x - 8y) = (-2)*(-128) → -18x + 16y = 256
(-8)*(-8x - 2y) = (-8)*50 → 64x + 16y = -400
Step 2: Subtract the two new equations.
(-18x + 16y)-(64x + 16y) = 256 - (-400)
-82x = 656
Step3: Solve for x.
x = 656 / (-82) = -8
The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 448 / (-64) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-16x - 10y)-(-45x - 10y) = 80 - 370
29x = -290
Step3: Solve for x.
x = (-290) / 29 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 528 / (-88) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-3)*(9x + 3y) = (-3)*(-75) → -27x - 9y = 225
Step 2: Subtract the two new equations.
(12x - 9y)-(-27x - 9y) = (-165) - 225
39x = -390
Step3: Solve for x.
x = (-390) / 39 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-5)*(3x - 6y) = (-5)*(-78) → -15x + 30y = 390
Step 2: Subtract the two new equations.
(30x + 30y)-(-15x + 30y) = 120 - 390
45x = -270
Step3: Solve for x.
x = (-270) / 45 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(64x + 80y)-(-90x + 80y) = 688 - (-390)
154x = 1078
Step3: Solve for x.
x = 1078 / 154 = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 9x = 0
Step3: Solve for x.
x = 0 / 9 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-1)*(-5x + 10y) = (-1)*(-110) → 5x - 10y = 110
10*(-10x - y) = 10*(-73) → -100x - 10y = -730
Step 2: Subtract the two new equations.
(5x - 10y)-(-100x - 10y) = 110 - (-730)
105x = 840
Step3: Solve for x.
x = 840 / 105 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10*(-8x + y) = 10*(-51) → -80x + 10y = -510
Step 2: Subtract the two new equations.
(-6x + 10y)-(-80x + 10y) = (-66) - (-510)
74x = 444
Step3: Solve for x.
x = 444 / 74 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 279 / (-31) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-3)*(-7x - 3y) = (-3)*(-9) → 21x + 9y = 27
(-3)*(-6x - 3y) = (-3)*(-6) → 18x + 9y = 18
Step 2: Subtract the two new equations.
(21x + 9y)-(18x + 9y) = 27 - 18
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 spec... | The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -31x = -186
Step3: Solve for x.
x = (-186) / (-31) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 31x = -62
Step3: Solve for x.
x = (-62) / 31 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
2*(-2x - 6y) = 2*(-28) → -4x - 12y = -56
(-6)*(-2x + 2y) = (-6)*(-12) → 12x - 12y = 72
Step 2: Subtract the two new equations.
(-4x - 12y)-(12x - 12y) = (-56) - 72
-16x = -128
Step3: Solve for x.
x = (-128) / (-16) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-1)*(-3x + 5y) = (-1)*27 → 3x - 5y = -27
5*(-9x - y) = 5*(-63) → -45x - 5y = -315
Step 2: Subtract the two new equations.
(3x - 5y)-(-45x - 5y) = (-27) - (-315)
48x = 288
Step3: Solve for x.
x = 288 / 48 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-305) / (-61) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -39x = 78
Step3: Solve for x.
x = 78 / (-39) = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 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 spec... | Step 1: Multiply to align y-coefficients.
(-9)*(-4x + 9y) = (-9)*0 → 36x - 81y = 0
9*(9x - 9y) = 9*(-45) → 81x - 81y = -405
Step 2: Subtract the two new equations.
(36x - 81y)-(81x - 81y) = 0 - (-405)
-45x = 405
Step3: Solve for x.
x = 405 / (-45) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(36x - 16y)-(32x - 16y) = 72 - 80
4x = -8
Step3: Solve for x.
x = (-8) / 4 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-33) / 11 = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-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 spec... | Step3: Solve for x.
x = (-216) / (-36) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 4*(x - 5y) = 4*20 → 4x - 20y = 80
Step 2: Subtract the two new equations.
(5x - 20y)-(4x - 20y) = 85 - 80
1x = 5
Step3: Solve for x.
x = 5 / 1 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 375 / (-75) = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 20x = 120
Step3: Solve for x.
x = 120 / 20 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-4)*(-9x - 3y) = (-4)*9 → 36x + 12y = -36
(-3)*(-5x - 4y) = (-3)*19 → 15x + 12y = -57
Step 2: Subtract the two new equations.
(36x + 12y)-(15x + 12y) = (-36) - (-57)
21x = 21
Step3: Solve for x.
x = 21 / 21 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 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 spec... | Step3: Solve for x.
x = 0 / 8 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-5)*(-3x - 2y) = (-5)*(-40) → 15x + 10y = 200
Step 2: Subtract the two new equations.
(-16x + 10y)-(15x + 10y) = (-110) - 200
-31x = -310
Step3: Solve for x.
x = (-310) / (-31) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-7)*(-2x + 2y) = (-7)*2 → 14x - 14y = -14
Step 2: Subtract the two new equations.
(-8x - 14y)-(14x - 14y) = 96 - (-14)
-22x = 110
Step3: Solve for x.
x = 110 / (-22) = -5
The answer: -5! | [
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