instruction stringlengths 1.94k 2.99k | 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 specific ... | Step 1: Multiply to align y-coefficients.
(-10)*(-2x + 2y) = (-10)*18 → 20x - 20y = -180
2*(8x - 10y) = 2*(-88) → 16x - 20y = -176
Step 2: Subtract the two new equations.
(20x - 20y)-(16x - 20y) = (-180) - (-176)
4x = -4
Step3: Solve for x.
x = (-4) / 4 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
3*(-9x - 8y) = 3*(-55) → -27x - 24y = -165
(-8)*(8x + 3y) = (-8)*16 → -64x - 24y = -128
Step 2: Subtract the two new equations.
(-27x - 24y)-(-64x - 24y) = (-165) - (-128)
37x = -37
Step3: Solve for x.
x = (-37) / 37 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
7*(x - 2y) = 7*1 → 7x - 14y = 7
(-2)*(3x + 7y) = (-2)*3 → -6x - 14y = -6
Step 2: Subtract the two new equations.
(7x - 14y)-(-6x - 14y) = 7 - (-6)
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 specific ... | 18x = -36
Step3: Solve for x.
x = (-36) / 18 = -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 1: Multiply to align y-coefficients.
10*(-4x - 7y) = 10*(-50) → -40x - 70y = -500
(-7)*(-5x + 10y) = (-7)*(-25) → 35x - 70y = 175
Step 2: Subtract the two new equations.
(-40x - 70y)-(35x - 70y) = (-500) - 175
-75x = -675
Step3: Solve for x.
x = (-675) / (-75) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-1)*(7x - 4y) = (-1)*(-14) → -7x + 4y = 14
(-4)*(6x - y) = (-4)*(-12) → -24x + 4y = 48
Step 2: Subtract the two new equations.
(-7x + 4y)-(-24x + 4y) = 14 - 48
17x = -34
Step3: Solve for x.
x = (-34) / 17 = -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 ... | (-4)*(8x - 5y) = (-4)*(-37) → -32x + 20y = 148
Step 2: Subtract the two new equations.
(-50x + 20y)-(-32x + 20y) = 220 - 148
-18x = 72
Step3: Solve for x.
x = 72 / (-18) = -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.
(-2)*(7x + 7y) = (-2)*(-70) → -14x - 14y = 140
7*(8x - 2y) = 7*(-80) → 56x - 14y = -560
Step 2: Subtract the two new equations.
(-14x - 14y)-(56x - 14y) = 140 - (-560)
-70x = 700
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 ... | -54x = -324
Step3: Solve for x.
x = (-324) / (-54) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-56x - 49y)-(-35x - 49y) = 105 - 84
-21x = 21
Step3: Solve for x.
x = 21 / (-21) = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your 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 ... | Step3: Solve for x.
x = (-224) / (-32) = 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 ... | We are given the system:
3x + 10y = 59
2x - 10y = -44
Step 1: Multiply to align y-coefficients.
(-10)*(3x + 10y) = (-10)*59 → -30x - 100y = -590
10*(2x - 10y) = 10*(-44) → 20x - 100y = -440
Step 2: Subtract the two new equations.
(-30x - 100y)-(20x - 100y) = (-590) - (-440)
-50x = -150
Step3: Solve for x.
x = (-... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-5)*(-8x + 3y) = (-5)*(-95) → 40x - 15y = 475
Step 2: Subtract the two new equations.
(-27x - 15y)-(40x - 15y) = (-195) - 475
-67x = -670
Step3: Solve for x.
x = (-670) / (-67) = 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.
(36x + 4y)-(-2x + 4y) = (-320) - 60
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 ... | -61x = 366
Step3: Solve for x.
x = 366 / (-61) = -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.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You 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 = (-72) / (-24) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 9*(-8y) = 9*(-48) → -72y = -432
Step 2: Subtract the two new equations.
(-40x - 72y)-(-72y) = (-152) - (-432)
-40x = 280
Step3: Solve for x.
x = 280 / (-40) = -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 ... | 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(8x + 80y)-(-90x + 80y) = 464 - 660
98x = -196
Step3: Solve for x.
x = (-196) / 98 = -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 ... | -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.
(-8)*(-3x + 2y) = (-8)*27 → 24x - 16y = -216
2*(5x - 8y) = 2*(-45) → 10x - 16y = -90
Step 2: Subtract the two new equations.
(24x - 16y)-(10x - 16y) = (-216) - (-90)
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 specific ... | The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-90x - 72y)-(48x - 72y) = 990 - 24
-138x = 966
Step3: Solve for x.
x = 966 / (-138) = -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 ... | 14x = 14
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 specific ... | Step 1: Multiply to align y-coefficients.
(-4)*(4x + y) = (-4)*14 → -16x - 4y = -56
1*(x - 4y) = 1*(-39) → x - 4y = -39
Step 2: Subtract the two new equations.
(-16x - 4y)-(x - 4y) = (-56) - (-39)
-17x = -17
Step3: Solve for x.
x = (-17) / (-17) = 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 ... | 6*(-5x + 6y) = 6*75 → -30x + 36y = 450
Step 2: Subtract the two new equations.
(36x + 36y)-(-30x + 36y) = 252 - 450
66x = -198
Step3: Solve for x.
x = (-198) / 66 = -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: 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 ... | 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-5)*(-5x + y) = (-5)*(-25) → 25x - 5y = 125
1*(-3x - 5y) = 1*13 → -3x - 5y = 13
Step 2: Subtract the two new equations.
(25x - 5y)-(-3x - 5y) = 125 - 13
28x = 112
Step3: Solve for x.
x = 112 / 28 = 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 ... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 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.
(-10x - 12y)-(6x - 12y) = 132 - 36
-16x = 96
Step3: Solve for x.
x = 96 / (-16) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(54x - 90y)-(10x - 90y) = (-756) - (-580)
44x = -176
Step3: Solve for x.
x = (-176) / 44 = -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 ... | -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 + 2y) = 2*(-60) → 18x + 4y = -120
Step 2: Subtract the two new equations.
(2x + 4y)-(18x + 4y) = 8 - (-120)
-16x = 128
Step3: Solve for x.
x = 128 / (-16) = -8
The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You 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 + 6y) = 10*(-36) → -60x + 60y = -360
6*(-x + 10y) = 6*(-96) → -6x + 60y = -576
Step 2: Subtract the two new equations.
(-60x + 60y)-(-6x + 60y) = (-360) - (-576)
-54x = 216
Step3: Solve for x.
x = 216 / (-54) = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-5)*(-7x - 9y) = (-5)*(-22) → 35x + 45y = 110
Step 2: Subtract the two new equations.
(90x + 45y)-(35x + 45y) = 0 - 110
55x = -110
Step3: Solve for x.
x = (-110) / 55 = -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.
(-2x + 20y)-(20x + 20y) = 74 - (-80)
-22x = 154
Step3: Solve for x.
x = 154 / (-22) = -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 = -450
Step3: Solve for x.
x = (-450) / (-45) = 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 ... | -4x = -20
Step3: Solve for x.
x = (-20) / (-4) = 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 ... | -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-8x - 5y)-(-35x - 5y) = (-7) - (-115)
27x = 108
Step3: Solve for x.
x = 108 / 27 = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
2x - 2y = -6
x + 3y = -15
Step 1: Multiply to align y-coefficients.
3*(2x - 2y) = 3*(-6) → 6x - 6y = -18
(-2)*(x + 3y) = (-2)*(-15) → -2x - 6y = 30
Step 2: Subtract the two new equations.
(6x - 6y)-(-2x - 6y) = (-18) - 30
8x = -48
Step3: Solve for x.
x = (-48) / 8 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 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 ... | Step 1: Multiply to align y-coefficients.
(-8)*(9x + 3y) = (-8)*87 → -72x - 24y = -696
3*(-5x - 8y) = 3*(-99) → -15x - 24y = -297
Step 2: Subtract the two new equations.
(-72x - 24y)-(-15x - 24y) = (-696) - (-297)
-57x = -399
Step3: Solve for x.
x = (-399) / (-57) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-2)*(5x - 2y) = (-2)*37 → -10x + 4y = -74
(-2)*(-7x - 2y) = (-2)*(-23) → 14x + 4y = 46
Step 2: Subtract the two new equations.
(-10x + 4y)-(14x + 4y) = (-74) - 46
-24x = -120
Step3: Solve for x.
x = (-120) / (-24) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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)*(-9x + 3y) = (-1)*9 → 9x - 3y = -9
Step 2: Subtract the two new equations.
(-6x - 3y)-(9x - 3y) = (-24) - (-9)
-15x = -15
Step3: Solve for x.
x = (-15) / (-15) = 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 ... | 5*(-10x - 2y) = 5*44 → -50x - 10y = 220
Step 2: Subtract the two new equations.
(20x - 10y)-(-50x - 10y) = (-200) - 220
70x = -420
Step3: Solve for x.
x = (-420) / 70 = -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.
3*(-2x - 3y) = 3*(-22) → -6x - 9y = -66
(-3)*(-6x + 3y) = (-3)*30 → 18x - 9y = -90
Step 2: Subtract the two new equations.
(-6x - 9y)-(18x - 9y) = (-66) - (-90)
-24x = 24
Step3: Solve for x.
x = 24 / (-24) = -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 ... | -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 138 / (-69) = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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 = 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 specific ... | 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
3*(-6x - 4y) = 3*2 → -18x - 12y = 6
(-4)*(-8x + 3y) = (-4)*(-64) → 32x - 12y = 256
Step 2: Subtract the two new equations.
(-18x - 12y)-(32x - 12y) = 6 - 256
-50x = -250
Step3: Solve for x.
x = (-250) / (-50) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your 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 ... | (-8)*(x + 3y) = (-8)*(-13) → -8x - 24y = 104
Step 2: Subtract the two new equations.
(12x - 24y)-(-8x - 24y) = (-96) - 104
20x = -200
Step3: Solve for x.
x = (-200) / 20 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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 specific ... | 75x = -225
Step3: Solve for x.
x = (-225) / 75 = -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: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(63x - 45y)-(-25x - 45y) = 54 - (-650)
88x = 704
Step3: Solve for x.
x = 704 / 88 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-5x + 30y)-(18x + 30y) = 245 - 222
-23x = 23
Step3: Solve for x.
x = 23 / (-23) = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-40) / (-40) = 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 ... | (-6)*(-10x - y) = (-6)*(-56) → 60x + 6y = 336
Step 2: Subtract the two new equations.
(-9x + 6y)-(60x + 6y) = (-9) - 336
-69x = -345
Step3: Solve for x.
x = (-345) / (-69) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 30x = -210
Step3: Solve for x.
x = (-210) / 30 = -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 = 755 / (-151) = -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.
(-6)*(10x + 10y) = (-6)*60 → -60x - 60y = -360
10*(-7x - 6y) = 10*(-40) → -70x - 60y = -400
Step 2: Subtract the two new equations.
(-60x - 60y)-(-70x - 60y) = (-360) - (-400)
10x = 40
Step3: Solve for x.
x = 40 / 10 = 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 ... | 6*(3x - 2y) = 6*(-15) → 18x - 12y = -90
Step 2: Subtract the two new equations.
(10x - 12y)-(18x - 12y) = (-98) - (-90)
-8x = -8
Step3: Solve for x.
x = (-8) / (-8) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-48x - 40y)-(50x - 40y) = (-72) - 810
-98x = -882
Step3: Solve for x.
x = (-882) / (-98) = 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 = 132 / (-22) = -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)*(-10x - 2y) = (-8)*(-32) → 80x + 16y = 256
(-2)*(8x - 8y) = (-2)*(-32) → -16x + 16y = 64
Step 2: Subtract the two new equations.
(80x + 16y)-(-16x + 16y) = 256 - 64
96x = 192
Step3: Solve for x.
x = 192 / 96 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-1)*(10x + 8y) = (-1)*(-72) → -10x - 8y = 72
Step 2: Subtract the two new equations.
(80x - 8y)-(-10x - 8y) = (-288) - 72
90x = -360
Step3: Solve for x.
x = (-360) / 90 = -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: -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.
(-2)*(9x - 4y) = (-2)*(-45) → -18x + 8y = 90
(-4)*(6x - 2y) = (-4)*(-30) → -24x + 8y = 120
Step 2: Subtract the two new equations.
(-18x + 8y)-(-24x + 8y) = 90 - 120
6x = -30
Step3: Solve for x.
x = (-30) / 6 = -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 ... | -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: 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 ... | 16x = 80
Step3: Solve for x.
x = 80 / 16 = 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 ... | The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
1*(2x + 10y) = 1*34 → 2x + 10y = 34
10*(6x + y) = 10*15 → 60x + 10y = 150
Step 2: Subtract the two new equations.
(2x + 10y)-(60x + 10y) = 34 - 150
-58x = -116
Step3: Solve for x.
x = (-116) / (-58) = 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 ... | 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 ... | -103x = -721
Step3: Solve for x.
x = (-721) / (-103) = 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.
1*(-7x - 6y) = 1*28 → -7x - 6y = 28
(-6)*(9x + y) = (-6)*(-83) → -54x - 6y = 498
Step 2: Subtract the two new equations.
(-7x - 6y)-(-54x - 6y) = 28 - 498
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 ... | (-2)*(10x - 5y) = (-2)*85 → -20x + 10y = -170
Step 2: Subtract the two new equations.
(-30x + 10y)-(-20x + 10y) = (-240) - (-170)
-10x = -70
Step3: Solve for x.
x = (-70) / (-10) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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 ... | -29x = 174
Step3: Solve for x.
x = 174 / (-29) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
7*(-2x + 4y) = 7*(-20) → -14x + 28y = -140
4*(-10x + 7y) = 4*30 → -40x + 28y = 120
Step 2: Subtract the two new equations.
(-14x + 28y)-(-40x + 28y) = (-140) - 120
26x = -260
Step3: Solve for x.
x = (-260) / 26 = -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 ... | 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 ... | 7*(-8x - y) = 7*(-39) → -56x - 7y = -273
Step 2: Subtract the two new equations.
(-x - 7y)-(-56x - 7y) = 2 - (-273)
55x = 275
Step3: Solve for x.
x = 275 / 55 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(63x + 49y)-(-21x + 49y) = (-273) - 483
84x = -756
Step3: Solve for x.
x = (-756) / 84 = -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 = 174 / 29 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 6*10y = 6*(-60) → 60y = -360
Step 2: Subtract the two new equations.
(-90x + 60y)-60y = (-1080) - (-360)
-90x = -720
Step3: Solve for x.
x = (-720) / (-90) = 8
The answer: 8! | [
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