instruction stringlengths 1.69k 2.95k | answer stringlengths 2 352 | 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... | -69x = -345
Step3: Solve for x.
x = (-345) / (-69) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-1)*(6x + 5y) = (-1)*34 → -6x - 5y = -34
5*(-4x - y) = 5*(-32) → -20x - 5y = -160
Step 2: Subtract the two new equations.
(-6x - 5y)-(-20x - 5y) = (-34) - (-160)
14x = 126
Step3: Solve for x.
x = 126 / 14 = 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... | (-6)*(-10x - 7y) = (-6)*5 → 60x + 42y = -30
Step 2: Subtract the two new equations.
(56x + 42y)-(60x + 42y) = (-42) - (-30)
-4x = -12
Step3: Solve for x.
x = (-12) / (-4) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 1*(x - 10y) = 1*(-41) → x - 10y = -41
Step 2: Subtract the two new equations.
(30x - 10y)-(x - 10y) = 220 - (-41)
29x = 261
Step3: Solve for x.
x = 261 / 29 = 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.
(-12y)-(-27x - 12y) = (-72) - (-207)
27x = 135
Step3: Solve for x.
x = 135 / 27 = 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... | 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... | -8x = -64
Step3: Solve for x.
x = (-64) / (-8) = 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... | 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... | We are given the system:
-2x - 5y = -29
-5x + 2y = 0
Step 1: Multiply to align y-coefficients.
2*(-2x - 5y) = 2*(-29) → -4x - 10y = -58
(-5)*(-5x + 2y) = (-5)*0 → 25x - 10y = 0
Step 2: Subtract the two new equations.
(-4x - 10y)-(25x - 10y) = (-58) - 0
-29x = -58
Step3: Solve for x.
x = (-58) / (-29) = 2
The an... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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 - 6y) = (-4)*50 → 4x + 24y = -200
Step 2: Subtract the two new equations.
24y-(4x + 24y) = (-192) - (-200)
-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... | 3x = 0
Step3: Solve for x.
x = 0 / 3 = 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... | -26x = 52
Step3: Solve for x.
x = 52 / (-26) = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-81x + 90y)-(-20x + 90y) = (-261) - (-200)
-61x = -61
Step3: Solve for x.
x = (-61) / (-61) = 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)*(-4x + 6y) = (-5)*(-34) → 20x - 30y = 170
Step 2: Subtract the two new equations.
(18x - 30y)-(20x - 30y) = 162 - 170
-2x = -8
Step3: Solve for x.
x = (-8) / (-2) = 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.
(-60x + 100y)-(-100x + 100y) = (-200) - (-600)
40x = 400
Step3: Solve for x.
x = 400 / 40 = 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: -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.
(-28x - 20y)-(5x - 20y) = (-76) - (-10)
-33x = -66
Step3: Solve for x.
x = (-66) / (-33) = 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*(6x - 10y) = 2*(-28) → 12x - 20y = -56
(-10)*(7x + 2y) = (-10)*63 → -70x - 20y = -630
Step 2: Subtract the two new equations.
(12x - 20y)-(-70x - 20y) = (-56) - (-630)
82x = 574
Step3: Solve for x.
x = 574 / 82 = 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.
(3x + 3y)-3y = 9 - 3
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 spec... | 84x = 252
Step3: Solve for x.
x = 252 / 84 = 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... | 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-20x + 20y)-(80x + 20y) = (-40) - (-140)
-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... | Step 2: Subtract the two new equations.
(-5y)-(3x - 5y) = (-35) - (-53)
-3x = 18
Step3: Solve for x.
x = 18 / (-3) = -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 = (-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 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... | 7*(10x + 8y) = 7*64 → 70x + 56y = 448
Step 2: Subtract the two new equations.
(24x + 56y)-(70x + 56y) = 448 - 448
-46x = 0
Step3: Solve for x.
x = 0 / (-46) = -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... | 15x = 120
Step3: Solve for x.
x = 120 / 15 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-70y)-(90x - 70y) = 420 - 150
-90x = 270
Step3: Solve for x.
x = 270 / (-90) = -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... | 7*(6x + 10y) = 7*140 → 42x + 70y = 980
Step 2: Subtract the two new equations.
(100x + 70y)-(42x + 70y) = 1560 - 980
58x = 580
Step3: Solve for x.
x = 580 / 58 = 10
The answer: 10! | [
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You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(60x + 54y)-(63x + 54y) = 30 - 45
-3x = -15
Step3: Solve for x.
x = (-15) / (-3) = 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... | 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... | 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... | -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... | Step 1: Multiply to align y-coefficients.
4*(-6x - 6y) = 4*18 → -24x - 24y = 72
(-6)*(5x + 4y) = (-6)*(-14) → -30x - 24y = 84
Step 2: Subtract the two new equations.
(-24x - 24y)-(-30x - 24y) = 72 - 84
6x = -12
Step3: Solve for x.
x = (-12) / 6 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -36x = -144
Step3: Solve for x.
x = (-144) / (-36) = 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... | 7*(-9x + 6y) = 7*6 → -63x + 42y = 42
Step 2: Subtract the two new equations.
(-48x + 42y)-(-63x + 42y) = (-18) - 42
15x = -60
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 spec... | Step 2: Subtract the two new equations.
(-8x - 2y)-(-10x - 2y) = (-56) - (-74)
2x = 18
Step3: Solve for x.
x = 18 / 2 = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your 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... | (-9)*(7x - y) = (-9)*72 → -63x + 9y = -648
Step 2: Subtract the two new equations.
(-5x + 9y)-(-63x + 9y) = (-68) - (-648)
58x = 580
Step3: Solve for x.
x = 580 / 58 = 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:
-7x - 6y = 25
-x + y = -2
Step 1: Multiply to align y-coefficients.
1*(-7x - 6y) = 1*25 → -7x - 6y = 25
(-6)*(-x + y) = (-6)*(-2) → 6x - 6y = 12
Step 2: Subtract the two new equations.
(-7x - 6y)-(6x - 6y) = 25 - 12
-13x = 13
Step3: Solve for x.
x = 13 / (-13) = -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... | 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... | We are given the system:
-7x + 5y = 70
-x + 10y = 10
Step 1: Multiply to align y-coefficients.
10*(-7x + 5y) = 10*70 → -70x + 50y = 700
5*(-x + 10y) = 5*10 → -5x + 50y = 50
Step 2: Subtract the two new equations.
(-70x + 50y)-(-5x + 50y) = 700 - 50
-65x = 650
Step3: Solve for x.
x = 650 / (-65) = -10
The answer... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-72x + 64y)-(48x + 64y) = 248 - 368
-120x = -120
Step3: Solve for x.
x = (-120) / (-120) = 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... | 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... | We are given the system:
3x + 9y = -24
8x - 10y = -64
Step 1: Multiply to align y-coefficients.
(-10)*(3x + 9y) = (-10)*(-24) → -30x - 90y = 240
9*(8x - 10y) = 9*(-64) → 72x - 90y = -576
Step 2: Subtract the two new equations.
(-30x - 90y)-(72x - 90y) = 240 - (-576)
-102x = 816
Step3: Solve for x.
x = 816 / (-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... | 6*(-x + 9y) = 6*47 → -6x + 54y = 282
Step 2: Subtract the two new equations.
(63x + 54y)-(-6x + 54y) = 144 - 282
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 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 = (-440) / (-110) = 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... | 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 = 106 / (-53) = -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.
(-9)*(-4x - 7y) = (-9)*(-27) → 36x + 63y = 243
(-7)*(5x - 9y) = (-7)*16 → -35x + 63y = -112
Step 2: Subtract the two new equations.
(36x + 63y)-(-35x + 63y) = 243 - (-112)
71x = 355
Step3: Solve for x.
x = 355 / 71 = 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... | (-2)*(-6x - 5y) = (-2)*9 → 12x + 10y = -18
Step 2: Subtract the two new equations.
(20x + 10y)-(12x + 10y) = (-90) - (-18)
8x = -72
Step3: Solve for x.
x = (-72) / 8 = -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... | 32x = 256
Step3: Solve for x.
x = 256 / 32 = 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... | 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 = 184 / (-46) = -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... | -2x = -6
Step3: Solve for x.
x = (-6) / (-2) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(45x + 90y)-90y = 630 - 540
45x = 90
Step3: Solve for x.
x = 90 / 45 = 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 = (-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 spec... | The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-7)*(6x + 9y) = (-7)*(-93) → -42x - 63y = 651
9*(10x - 7y) = 9*(-1) → 90x - 63y = -9
Step 2: Subtract the two new equations.
(-42x - 63y)-(90x - 63y) = 651 - (-9)
-132x = 660
Step3: Solve for x.
x = 660 / (-132) = -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.
(2x + 12y)-(-54x + 12y) = 20 - (-204)
56x = 224
Step3: Solve for x.
x = 224 / 56 = 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... | -82x = -492
Step3: Solve for x.
x = (-492) / (-82) = 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... | 32x = 96
Step3: Solve for x.
x = 96 / 32 = 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... | 10*(2x - 4y) = 10*(-4) → 20x - 40y = -40
Step 2: Subtract the two new equations.
(-28x - 40y)-(20x - 40y) = (-520) - (-40)
-48x = -480
Step3: Solve for x.
x = (-480) / (-48) = 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... | 9x = -54
Step3: Solve for x.
x = (-54) / 9 = -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.
(-1)*(-4x + 10y) = (-1)*88 → 4x - 10y = -88
10*(2x - y) = 10*(-4) → 20x - 10y = -40
Step 2: Subtract the two new equations.
(4x - 10y)-(20x - 10y) = (-88) - (-40)
-16x = -48
Step3: Solve for x.
x = (-48) / (-16) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -9x = -72
Step3: Solve for x.
x = (-72) / (-9) = 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 = 14 / 14 = 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 2: Subtract the two new equations.
(-6x + 10y)-(-80x + 10y) = 96 - 540
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... | We are given the system:
-4x + 2y = 2
7x - 5y = -8
Step 1: Multiply to align y-coefficients.
(-5)*(-4x + 2y) = (-5)*2 → 20x - 10y = -10
2*(7x - 5y) = 2*(-8) → 14x - 10y = -16
Step 2: Subtract the two new equations.
(20x - 10y)-(14x - 10y) = (-10) - (-16)
6x = 6
Step3: Solve for x.
x = 6 / 6 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-1)*(-10x - 5y) = (-1)*(-10) → 10x + 5y = 10
Step 2: Subtract the two new equations.
(50x + 5y)-(10x + 5y) = 90 - 10
40x = 80
Step3: Solve for x.
x = 80 / 40 = 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... | -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... | -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 spec... | 7*(2x + 10y) = 7*(-44) → 14x + 70y = -308
Step 2: Subtract the two new equations.
(20x + 70y)-(14x + 70y) = (-290) - (-308)
6x = 18
Step3: Solve for x.
x = 18 / 6 = 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: 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... | 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... | -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... | -72x = -720
Step3: Solve for x.
x = (-720) / (-72) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 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: 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... | -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 spec... | -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... | Step 2: Subtract the two new equations.
(x + 3y)-(-6x + 3y) = (-7) - 21
7x = -28
Step3: Solve for x.
x = (-28) / 7 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
5*(-9x - 10y) = 5*(-32) → -45x - 50y = -160
(-10)*(-3x + 5y) = (-10)*31 → 30x - 50y = -310
Step 2: Subtract the two new equations.
(-45x - 50y)-(30x - 50y) = (-160) - (-310)
-75x = 150
Step3: Solve for x.
x = 150 / (-75) = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 234 / 39 = 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.
3*(-9x + 2y) = 3*74 → -27x + 6y = 222
2*(-4x + 3y) = 2*54 → -8x + 6y = 108
Step 2: Subtract the two new equations.
(-27x + 6y)-(-8x + 6y) = 222 - 108
-19x = 114
Step3: Solve for x.
x = 114 / (-19) = -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.
6*(2x - 8y) = 6*4 → 12x - 48y = 24
(-8)*(3x + 6y) = (-8)*(-30) → -24x - 48y = 240
Step 2: Subtract the two new equations.
(12x - 48y)-(-24x - 48y) = 24 - 240
36x = -216
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! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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: -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... | 6! | [
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