instruction stringlengths 1.53k 3.05k | 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 specific ... | 20x = 40
Step3: Solve for x.
x = 40 / 20 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 0 / (-49) = -0
The answer: -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 37x = -333
Step3: Solve for x.
x = (-333) / 37 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 2*(-9x + y) = 2*(-21) → -18x + 2y = -42
Step 2: Subtract the two new equations.
(9x + 2y)-(-18x + 2y) = 39 - (-42)
27x = 81
Step3: Solve for x.
x = 81 / 27 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-16x + 64y)-(-48x + 64y) = 320 - 64
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 specific ... | -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 specific ... | Step3: Solve for x.
x = 342 / 38 = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 5*(7x - 6y) = 5*(-54) → 35x - 30y = -270
Step 2: Subtract the two new equations.
(24x - 30y)-(35x - 30y) = (-204) - (-270)
-11x = 66
Step3: Solve for x.
x = 66 / (-11) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-9)*(5x + 7y) = (-9)*(-2) → -45x - 63y = 18
Step 2: Subtract the two new equations.
(28x - 63y)-(-45x - 63y) = (-420) - 18
73x = -438
Step3: Solve for x.
x = (-438) / 73 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -35x = -350
Step3: Solve for x.
x = (-350) / (-35) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-54x - 72y)-(56x - 72y) = 162 - (-608)
-110x = 770
Step3: Solve for x.
x = 770 / (-110) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-4)*(2x + 7y) = (-4)*15 → -8x - 28y = -60
7*(-7x - 4y) = 7*(-32) → -49x - 28y = -224
Step 2: Subtract the two new equations.
(-8x - 28y)-(-49x - 28y) = (-60) - (-224)
41x = 164
Step3: Solve for x.
x = 164 / 41 = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-30x - 80y)-(-8x - 80y) = 80 - 256
-22x = -176
Step3: Solve for x.
x = (-176) / (-22) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-3)*(-10x + 3y) = (-3)*74 → 30x - 9y = -222
3*(3x - 3y) = 3*(-39) → 9x - 9y = -117
Step 2: Subtract the two new equations.
(30x - 9y)-(9x - 9y) = (-222) - (-117)
21x = -105
Step3: Solve for x.
x = (-105) / 21 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(48x - 12y)-(-16x - 12y) = (-204) - 180
64x = -384
Step3: Solve for x.
x = (-384) / 64 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
10*(-6x - 2y) = 10*(-4) → -60x - 20y = -40
(-2)*(-7x + 10y) = (-2)*(-54) → 14x - 20y = 108
Step 2: Subtract the two new equations.
(-60x - 20y)-(14x - 20y) = (-40) - 108
-74x = -148
Step3: Solve for x.
x = (-148) / (-74) = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -70x = 490
Step3: Solve for x.
x = 490 / (-70) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -45x = 180
Step3: Solve for x.
x = 180 / (-45) = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-1)*(3x - 10y) = (-1)*(-130) → -3x + 10y = 130
Step 2: Subtract the two new equations.
(70x + 10y)-(-3x + 10y) = (-600) - 130
73x = -730
Step3: Solve for x.
x = (-730) / 73 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
4*(8x - 5y) = 4*(-5) → 32x - 20y = -20
(-5)*(-x + 4y) = (-5)*4 → 5x - 20y = -20
Step 2: Subtract the two new equations.
(32x - 20y)-(5x - 20y) = (-20) - (-20)
27x = 0
Step3: Solve for x.
x = 0 / 27 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(-5x - 6y) = (-6)*(-38) → 30x + 36y = 228
(-6)*(-3x - 6y) = (-6)*(-30) → 18x + 36y = 180
Step 2: Subtract the two new equations.
(30x + 36y)-(18x + 36y) = 228 - 180
12x = 48
Step3: Solve for x.
x = 48 / 12 = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 10*3y = 10*(-6) → 30y = -60
Step 2: Subtract the two new equations.
(12x + 30y)-30y = (-108) - (-60)
12x = -48
Step3: Solve for x.
x = (-48) / 12 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
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You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 6! | [
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**Engage Parallel Processing Mode:**
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You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
2*(-x - 10y) = 2*(-26) → -2x - 20y = -52
(-10)*(10x + 2y) = (-10)*64 → -100x - 20y = -640
Step 2: Subtract the two new equations.
(-2x - 20y)-(-100x - 20y) = (-52) - (-640)
98x = 588
Step3: Solve for x.
x = 588 / 98 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
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You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-7)*(8x - 2y) = (-7)*60 → -56x + 14y = -420
(-2)*(9x - 7y) = (-2)*20 → -18x + 14y = -40
Step 2: Subtract the two new equations.
(-56x + 14y)-(-18x + 14y) = (-420) - (-40)
-38x = -380
Step3: Solve for x.
x = (-380) / (-38) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
5*(2x + 8y) = 5*(-80) → 10x + 40y = -400
8*(-4x + 5y) = 8*(-8) → -32x + 40y = -64
Step 2: Subtract the two new equations.
(10x + 40y)-(-32x + 40y) = (-400) - (-64)
42x = -336
Step3: Solve for x.
x = (-336) / 42 = -8
The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-3)*(-2x - 4y) = (-3)*30 → 6x + 12y = -90
(-4)*(-6x - 3y) = (-4)*18 → 24x + 12y = -72
Step 2: Subtract the two new equations.
(6x + 12y)-(24x + 12y) = (-90) - (-72)
-18x = -18
Step3: Solve for x.
x = (-18) / (-18) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-3)*(10x + 3y) = (-3)*(-13) → -30x - 9y = 39
Step 2: Subtract the two new equations.
(-3x - 9y)-(-30x - 9y) = 12 - 39
27x = -27
Step3: Solve for x.
x = (-27) / 27 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -30x = -30
Step3: Solve for x.
x = (-30) / (-30) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
-x + 8y = 35
7x + 2y = -13
Step 1: Multiply to align y-coefficients.
2*(-x + 8y) = 2*35 → -2x + 16y = 70
8*(7x + 2y) = 8*(-13) → 56x + 16y = -104
Step 2: Subtract the two new equations.
(-2x + 16y)-(56x + 16y) = 70 - (-104)
-58x = 174
Step3: Solve for x.
x = 174 / (-58) = -3
The answer:... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
5*(8x - 5y) = 5*(-26) → 40x - 25y = -130
(-5)*(6x + 5y) = (-5)*(-2) → -30x - 25y = 10
Step 2: Subtract the two new equations.
(40x - 25y)-(-30x - 25y) = (-130) - 10
70x = -140
Step3: Solve for x.
x = (-140) / 70 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-80x - 16y)-(2x - 16y) = (-208) - (-126)
-82x = -82
Step3: Solve for x.
x = (-82) / (-82) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(16x - 12y)-(30x - 12y) = 100 - 198
-14x = -98
Step3: Solve for x.
x = (-98) / (-14) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-4)*(10x - 5y) = (-4)*(-20) → -40x + 20y = 80
Step 2: Subtract the two new equations.
(10x + 20y)-(-40x + 20y) = (-70) - 80
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 specific ... | We are given the system:
5x - 3y = -74
5x - 9y = -122
Step 1: Multiply to align y-coefficients.
(-9)*(5x - 3y) = (-9)*(-74) → -45x + 27y = 666
(-3)*(5x - 9y) = (-3)*(-122) → -15x + 27y = 366
Step 2: Subtract the two new equations.
(-45x + 27y)-(-15x + 27y) = 666 - 366
-30x = 300
Step3: Solve for x.
x = 300 / (-3... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-56x + 70y)-(-60x + 70y) = (-476) - (-500)
4x = 24
Step3: Solve for x.
x = 24 / 4 = 6
The answer: 6! | [
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You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-1)*6y = (-1)*(-36) → -6y = 36
Step 2: Subtract the two new equations.
(18x - 6y)-(-6y) = 198 - 36
18x = 162
Step3: Solve for x.
x = 162 / 18 = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-10)*(-4x + 8y) = (-10)*80 → 40x - 80y = -800
Step 2: Subtract the two new equations.
(-80x - 80y)-(40x - 80y) = 400 - (-800)
-120x = 1200
Step3: Solve for x.
x = 1200 / (-120) = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 50 / 10 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-168) / (-56) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -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.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 9*(2x - 2y) = 9*(-16) → 18x - 18y = -144
Step 2: Subtract the two new equations.
(14x - 18y)-(18x - 18y) = (-108) - (-144)
-4x = 36
Step3: Solve for x.
x = 36 / (-4) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-8)*(-4x + 8y) = (-8)*0 → 32x - 64y = 0
Step 2: Subtract the two new equations.
(72x - 64y)-(32x - 64y) = (-160) - 0
40x = -160
Step3: Solve for x.
x = (-160) / 40 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
-x - 8y = 80
-2x + 5y = -50
Step 1: Multiply to align y-coefficients.
5*(-x - 8y) = 5*80 → -5x - 40y = 400
(-8)*(-2x + 5y) = (-8)*(-50) → 16x - 40y = 400
Step 2: Subtract the two new equations.
(-5x - 40y)-(16x - 40y) = 400 - 400
-21x = 0
Step3: Solve for x.
x = 0 / (-21) = -0
The answe... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-10)*(8x - 3y) = (-10)*17 → -80x + 30y = -170
(-3)*(9x - 10y) = (-3)*(-14) → -27x + 30y = 42
Step 2: Subtract the two new equations.
(-80x + 30y)-(-27x + 30y) = (-170) - 42
-53x = -212
Step3: Solve for x.
x = (-212) / (-53) = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
4*(-10x + 2y) = 4*(-12) → -40x + 8y = -48
2*(5x + 4y) = 2*26 → 10x + 8y = 52
Step 2: Subtract the two new equations.
(-40x + 8y)-(10x + 8y) = (-48) - 52
-50x = -100
Step3: Solve for x.
x = (-100) / (-50) = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7x = -7
Step3: Solve for x.
x = (-7) / 7 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(-5x - 6y) = (-6)*51 → 30x + 36y = -306
(-6)*(4x - 6y) = (-6)*(-30) → -24x + 36y = 180
Step 2: Subtract the two new equations.
(30x + 36y)-(-24x + 36y) = (-306) - 180
54x = -486
Step3: Solve for x.
x = (-486) / 54 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -10x = -100
Step3: Solve for x.
x = (-100) / (-10) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-329) / 47 = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 10*(x + 2y) = 10*(-17) → 10x + 20y = -170
Step 2: Subtract the two new equations.
(-2x + 20y)-(10x + 20y) = (-206) - (-170)
-12x = -36
Step3: Solve for x.
x = (-36) / (-12) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(4x - 5y)-(-15x - 5y) = 14 - 185
19x = -171
Step3: Solve for x.
x = (-171) / 19 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
8*(10x + 9y) = 8*51 → 80x + 72y = 408
9*(2x + 8y) = 9*66 → 18x + 72y = 594
Step 2: Subtract the two new equations.
(80x + 72y)-(18x + 72y) = 408 - 594
62x = -186
Step3: Solve for x.
x = (-186) / 62 = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 5*(10x + y) = 5*(-64) → 50x + 5y = -320
Step 2: Subtract the two new equations.
5y-(50x + 5y) = (-20) - (-320)
-50x = 300
Step3: Solve for x.
x = 300 / (-50) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
8*(3x - y) = 8*14 → 24x - 8y = 112
(-1)*(6x + 8y) = (-1)*38 → -6x - 8y = -38
Step 2: Subtract the two new equations.
(24x - 8y)-(-6x - 8y) = 112 - (-38)
30x = 150
Step3: Solve for x.
x = 150 / 30 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
1*(10x + 8y) = 1*12 → 10x + 8y = 12
8*(-5x + y) = 8*(-11) → -40x + 8y = -88
Step 2: Subtract the two new equations.
(10x + 8y)-(-40x + 8y) = 12 - (-88)
50x = 100
Step3: Solve for x.
x = 100 / 50 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 2*(-8x + 4y) = 2*(-68) → -16x + 8y = -136
Step 2: Subtract the two new equations.
(32x + 8y)-(-16x + 8y) = 248 - (-136)
48x = 384
Step3: Solve for x.
x = 384 / 48 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
5x + 6y = 9
3x + 9y = 0
Step 1: Multiply to align y-coefficients.
9*(5x + 6y) = 9*9 → 45x + 54y = 81
6*(3x + 9y) = 6*0 → 18x + 54y = 0
Step 2: Subtract the two new equations.
(45x + 54y)-(18x + 54y) = 81 - 0
27x = 81
Step3: Solve for x.
x = 81 / 27 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
-6x + 7y = 93
-4x + y = 29
Step 1: Multiply to align y-coefficients.
1*(-6x + 7y) = 1*93 → -6x + 7y = 93
7*(-4x + y) = 7*29 → -28x + 7y = 203
Step 2: Subtract the two new equations.
(-6x + 7y)-(-28x + 7y) = 93 - 203
22x = -110
Step3: Solve for x.
x = (-110) / 22 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -96x = -672
Step3: Solve for x.
x = (-672) / (-96) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 0 / (-32) = -0
The answer: -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-6)*(8x - 3y) = (-6)*(-19) → -48x + 18y = 114
Step 2: Subtract the two new equations.
(-3x + 18y)-(-48x + 18y) = 159 - 114
45x = 45
Step3: Solve for x.
x = 45 / 45 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-9x - 72y)-(48x - 72y) = 45 - (-240)
-57x = 285
Step3: Solve for x.
x = 285 / (-57) = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -130x = -520
Step3: Solve for x.
x = (-520) / (-130) = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 13x = 91
Step3: Solve for x.
x = 91 / 13 = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -47x = 470
Step3: Solve for x.
x = 470 / (-47) = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-30x + 3y)-(-2x + 3y) = 48 - (-8)
-28x = 56
Step3: Solve for x.
x = 56 / (-28) = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-1)*(-5x + 10y) = (-1)*(-30) → 5x - 10y = 30
10*(8x - y) = 10*(-12) → 80x - 10y = -120
Step 2: Subtract the two new equations.
(5x - 10y)-(80x - 10y) = 30 - (-120)
-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 specific ... | Step3: Solve for x.
x = (-700) / 70 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-2)*(-x + 4y) = (-2)*(-37) → 2x - 8y = 74
4*(-8x - 2y) = 4*10 → -32x - 8y = 40
Step 2: Subtract the two new equations.
(2x - 8y)-(-32x - 8y) = 74 - 40
34x = 34
Step3: Solve for x.
x = 34 / 34 = 1
The answer: 1! | [
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