instruction stringlengths 1.78k 3.03k | 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 ... | We are given the system:
-5x + 7y = -4
-x + 9y = -54
Step 1: Multiply to align y-coefficients.
9*(-5x + 7y) = 9*(-4) → -45x + 63y = -36
7*(-x + 9y) = 7*(-54) → -7x + 63y = -378
Step 2: Subtract the two new equations.
(-45x + 63y)-(-7x + 63y) = (-36) - (-378)
-38x = 342
Step3: Solve for x.
x = 342 / (-38) = -9
T... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You 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 ... | 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.
6*(6x - 5y) = 6*(-14) → 36x - 30y = -84
(-5)*(-3x + 6y) = (-5)*0 → 15x - 30y = 0
Step 2: Subtract the two new equations.
(36x - 30y)-(15x - 30y) = (-84) - 0
21x = -84
Step3: Solve for x.
x = (-84) / 21 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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: 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 ... | 3x = 0
Step3: Solve for x.
x = 0 / 3 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-8x + 6y)-(-21x + 6y) = (-76) - (-141)
13x = 65
Step3: Solve for x.
x = 65 / 13 = 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 ... | 43x = 301
Step3: Solve for x.
x = 301 / 43 = 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: 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.
4y-(40x + 4y) = 4 - 44
-40x = -40
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 ... | 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.
(-10)*(-3x - 10y) = (-10)*80 → 30x + 100y = -800
(-10)*(-2x - 10y) = (-10)*70 → 20x + 100y = -700
Step 2: Subtract the two new equations.
(30x + 100y)-(20x + 100y) = (-800) - (-700)
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 ... | Step 2: Subtract the two new equations.
(24x - 12y)-(14x - 12y) = (-252) - (-182)
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 ... | -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.
(50x + 50y)-(-25x + 50y) = 550 - (-50)
75x = 600
Step3: Solve for x.
x = 600 / 75 = 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.
1*(-5x + 6y) = 1*6 → -5x + 6y = 6
6*(7x + y) = 6*(-46) → 42x + 6y = -276
Step 2: Subtract the two new equations.
(-5x + 6y)-(42x + 6y) = 6 - (-276)
-47x = 282
Step3: Solve for x.
x = 282 / (-47) = -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 ... | (-4)*(8x - 2y) = (-4)*50 → -32x + 8y = -200
Step 2: Subtract the two new equations.
(-20x + 8y)-(-32x + 8y) = (-128) - (-200)
12x = 72
Step3: Solve for x.
x = 72 / 12 = 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 ... | 48x = 192
Step3: Solve for x.
x = 192 / 48 = 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 ... | 5x = 30
Step3: Solve for x.
x = 30 / 5 = 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 = 252 / (-28) = -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 = 66 / 33 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-2)*(-7x + y) = (-2)*(-16) → 14x - 2y = 32
Step 2: Subtract the two new equations.
(5x - 2y)-(14x - 2y) = 23 - 32
-9x = -9
Step3: Solve for x.
x = (-9) / (-9) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your 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: -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 ... | 9*(6x - 7y) = 9*(-85) → 54x - 63y = -765
Step 2: Subtract the two new equations.
(49x - 63y)-(54x - 63y) = (-735) - (-765)
-5x = 30
Step3: Solve for x.
x = 30 / (-5) = -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 ... | 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 = 40 / 5 = 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.
(-4x - 4y)-(-9x - 4y) = 16 - 6
5x = 10
Step3: Solve for x.
x = 10 / 5 = 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*(5x + 5y) = 10*(-25) → 50x + 50y = -250
5*(2x + 10y) = 5*(-18) → 10x + 50y = -90
Step 2: Subtract the two new equations.
(50x + 50y)-(10x + 50y) = (-250) - (-90)
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 ... | -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 ... | Step 1: Multiply to align y-coefficients.
8*(-9x - 9y) = 8*(-153) → -72x - 72y = -1224
(-9)*(-7x + 8y) = (-9)*16 → 63x - 72y = -144
Step 2: Subtract the two new equations.
(-72x - 72y)-(63x - 72y) = (-1224) - (-144)
-135x = -1080
Step3: Solve for x.
x = (-1080) / (-135) = 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 ... | (-5)*(9x - 8y) = (-5)*(-126) → -45x + 40y = 630
Step 2: Subtract the two new equations.
40y-(-45x + 40y) = 360 - 630
45x = -270
Step3: Solve for x.
x = (-270) / 45 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-10)*(-7x - 5y) = (-10)*0 → 70x + 50y = 0
(-5)*(-2x - 10y) = (-5)*(-60) → 10x + 50y = 300
Step 2: Subtract the two new equations.
(70x + 50y)-(10x + 50y) = 0 - 300
60x = -300
Step3: Solve for x.
x = (-300) / 60 = -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: 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 ... | 2*(9x + y) = 2*51 → 18x + 2y = 102
Step 2: Subtract the two new equations.
(-10x + 2y)-(18x + 2y) = (-38) - 102
-28x = -140
Step3: Solve for x.
x = (-140) / (-28) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You 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 ... | Step3: Solve for x.
x = 252 / 63 = 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 ... | -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 ... | Step3: Solve for x.
x = 40 / (-5) = -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)*(9x - y) = (-3)*81 → -27x + 3y = -243
(-1)*(-x - 3y) = (-1)*(-37) → x + 3y = 37
Step 2: Subtract the two new equations.
(-27x + 3y)-(x + 3y) = (-243) - 37
-28x = -280
Step3: Solve for x.
x = (-280) / (-28) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-48x + 54y)-(-90x + 54y) = 354 - 522
42x = -168
Step3: Solve for x.
x = (-168) / 42 = -4
The answer: -4! | [
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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.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a '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.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a '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.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You 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.
(-80x - 32y)-(-28x - 32y) = 496 - 340
-52x = 156
Step3: Solve for x.
x = 156 / (-52) = -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: 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 ... | (-3)*(-4y) = (-3)*(-32) → 12y = 96
Step 2: Subtract the two new equations.
(32x + 12y)-12y = 288 - 96
32x = 192
Step3: Solve for x.
x = 192 / 32 = 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.
(-2)*(-2x - 6y) = (-2)*64 → 4x + 12y = -128
(-6)*(-8x - 2y) = (-6)*58 → 48x + 12y = -348
Step 2: Subtract the two new equations.
(4x + 12y)-(48x + 12y) = (-128) - (-348)
-44x = 220
Step3: Solve for x.
x = 220 / (-44) = -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 = 640 / 64 = 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*(10x - 5y) = 8*125 → 80x - 40y = 1000
Step 2: Subtract the two new equations.
(20x - 40y)-(80x - 40y) = 400 - 1000
-60x = -600
Step3: Solve for x.
x = (-600) / (-60) = 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 = 700 / 100 = 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)*(-8x - 2y) = (-10)*(-14) → 80x + 20y = 140
Step 2: Subtract the two new equations.
20y-(80x + 20y) = 60 - 140
-80x = -80
Step3: Solve for x.
x = (-80) / (-80) = 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 = (-63) / 9 = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(6x + 54y)-(-72x + 54y) = (-516) - (-126)
78x = -390
Step3: Solve for x.
x = (-390) / 78 = -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.
(-30x - 40y)-(-20x - 40y) = 330 - 340
-10x = -10
Step3: Solve for x.
x = (-10) / (-10) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -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 ... | (-3)*(10x - 6y) = (-3)*(-30) → -30x + 18y = 90
Step 2: Subtract the two new equations.
18y-(-30x + 18y) = 180 - 90
30x = 90
Step3: Solve for x.
x = 90 / 30 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-208) / 52 = -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: 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 ... | -30x = -270
Step3: Solve for x.
x = (-270) / (-30) = 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 ... | -27x = 135
Step3: Solve for x.
x = 135 / (-27) = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-42x - 42y)-(6x - 42y) = 294 - (-42)
-48x = 336
Step3: Solve for x.
x = 336 / (-48) = -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 ... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
1*(-x - 6y) = 1*13 → -x - 6y = 13
(-6)*(2x + y) = (-6)*(-4) → -12x - 6y = 24
Step 2: Subtract the two new equations.
(-x - 6y)-(-12x - 6y) = 13 - 24
11x = -11
Step3: Solve for x.
x = (-11) / 11 = -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 ... | -36x = 36
Step3: Solve for x.
x = 36 / (-36) = -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 ... | 79x = -79
Step3: Solve for x.
x = (-79) / 79 = -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: 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 = (-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 ... | -120x = 360
Step3: Solve for x.
x = 360 / (-120) = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-2)*(5x - 8y) = (-2)*(-27) → -10x + 16y = 54
(-8)*(-9x - 2y) = (-8)*65 → 72x + 16y = -520
Step 2: Subtract the two new equations.
(-10x + 16y)-(72x + 16y) = 54 - (-520)
-82x = 574
Step3: Solve for x.
x = 574 / (-82) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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 ... | -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 ... | -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 ... | Step3: Solve for x.
x = (-45) / (-5) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your 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 ... | (-1)*(10x + 5y) = (-1)*(-75) → -10x - 5y = 75
Step 2: Subtract the two new equations.
(-40x - 5y)-(-10x - 5y) = 375 - 75
-30x = 300
Step3: Solve for x.
x = 300 / (-30) = -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 ... | 9*(-9x - y) = 9*32 → -81x - 9y = 288
Step 2: Subtract the two new equations.
(2x - 9y)-(-81x - 9y) = 39 - 288
83x = -249
Step3: Solve for x.
x = (-249) / 83 = -3
The answer: -3! | [
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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: 2! | [
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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.
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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.
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x = 0 / (-1) = -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.
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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 ... | Step 2: Subtract the two new equations.
(-3x + 18y)-(-12x + 18y) = (-72) - (-72)
9x = 0
Step3: Solve for x.
x = 0 / 9 = 0
The answer: 0! | [
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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 ... | 55x = -55
Step3: Solve for x.
x = (-55) / 55 = -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 = (-27) / 3 = -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.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You 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.
(72x - 72y)-(24x - 72y) = (-576) - (-624)
48x = 48
Step3: Solve for x.
x = 48 / 48 = 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*(-3x - 3y) = 4*12 → -12x - 12y = 48
Step 2: Subtract the two new equations.
(-12y)-(-12x - 12y) = 24 - 48
12x = -24
Step3: Solve for x.
x = (-24) / 12 = -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: 3! | [
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