instruction stringlengths 1.75k 3.06k | answer stringlengths 2 344 | input_ids listlengths 900 900 | labels listlengths 900 900 | attention_mask listlengths 900 900 |
|---|---|---|---|---|
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-1)*(3x + 4y) = (-1)*(-3) → -3x - 4y = 3
4*(-7x - y) = 4*(-18) → -28x - 4y = -72
Step 2: Subtract the two new equations.
(-3x - 4y)-(-28x - 4y) = 3 - (-72)
25x = 75
Step3: Solve for x.
x = 75 / 25 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -89x = 534
Step3: Solve for x.
x = 534 / (-89) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-3)*(-2x - 9y) = (-3)*(-52) → 6x + 27y = 156
(-9)*(-9x - 3y) = (-9)*(-9) → 81x + 27y = 81
Step 2: Subtract the two new equations.
(6x + 27y)-(81x + 27y) = 156 - 81
-75x = 75
Step3: Solve for x.
x = 75 / (-75) = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 100x = -500
Step3: Solve for x.
x = (-500) / 100 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
2*(3x + 10y) = 2*(-85) → 6x + 20y = -170
10*(-8x + 2y) = 10*26 → -80x + 20y = 260
Step 2: Subtract the two new equations.
(6x + 20y)-(-80x + 20y) = (-170) - 260
86x = -430
Step3: Solve for x.
x = (-430) / 86 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-4)*(-10x + 8y) = (-4)*4 → 40x - 32y = -16
Step 2: Subtract the two new equations.
(-40x - 32y)-(40x - 32y) = 464 - (-16)
-80x = 480
Step3: Solve for x.
x = 480 / (-80) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-2)*6y = (-2)*12 → -12y = -24
6*(-3x - 2y) = 6*26 → -18x - 12y = 156
Step 2: Subtract the two new equations.
(-12y)-(-18x - 12y) = (-24) - 156
18x = -180
Step3: Solve for x.
x = (-180) / 18 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 4 / 2 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(30x - 50y)-(-40x - 50y) = 300 - (-400)
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 spec... | Step3: Solve for x.
x = 84 / 14 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-80) / (-8) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-4)*(10x + 4y) = (-4)*42 → -40x - 16y = -168
4*(5x - 4y) = 4*(-27) → 20x - 16y = -108
Step 2: Subtract the two new equations.
(-40x - 16y)-(20x - 16y) = (-168) - (-108)
-60x = -60
Step3: Solve for x.
x = (-60) / (-60) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 2*(4x + 3y) = 2*10 → 8x + 6y = 20
Step 2: Subtract the two new equations.
(21x + 6y)-(8x + 6y) = 72 - 20
13x = 52
Step3: Solve for x.
x = 52 / 13 = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-12x + 40y)-(-80x + 40y) = (-436) - (-640)
68x = 204
Step3: Solve for x.
x = 204 / 68 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-10)*(10x + 7y) = (-10)*6 → -100x - 70y = -60
Step 2: Subtract the two new equations.
(42x - 70y)-(-100x - 70y) = (-770) - (-60)
142x = -710
Step3: Solve for x.
x = (-710) / 142 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -19x = 57
Step3: Solve for x.
x = 57 / (-19) = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-20x - 14y)-(35x - 14y) = (-96) - 399
-55x = -495
Step3: Solve for x.
x = (-495) / (-55) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-392) / 56 = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-10x + 10y)-(-30x + 10y) = 60 - 60
20x = 0
Step3: Solve for x.
x = 0 / 20 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-12x - 36y)-(-54x - 36y) = 276 - 234
42x = 42
Step3: Solve for x.
x = 42 / 42 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 9*(-9x - 7y) = 9*53 → -81x - 63y = 477
Step 2: Subtract the two new equations.
(21x - 63y)-(-81x - 63y) = (-441) - 477
102x = -918
Step3: Solve for x.
x = (-918) / 102 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10x = -90
Step3: Solve for x.
x = (-90) / 10 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -19x = -171
Step3: Solve for x.
x = (-171) / (-19) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-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 spec... | The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-40x - 24y)-(-54x - 24y) = 272 - 300
14x = -28
Step3: Solve for x.
x = (-28) / 14 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-3x - 21y)-(-49x - 21y) = 207 - 161
46x = 46
Step3: Solve for x.
x = 46 / 46 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-5)*(2x + y) = (-5)*(-14) → -10x - 5y = 70
Step 2: Subtract the two new equations.
(2x - 5y)-(-10x - 5y) = 46 - 70
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 spec... | Step 1: Multiply to align y-coefficients.
(-10)*(-3x - 6y) = (-10)*3 → 30x + 60y = -30
(-6)*(2x - 10y) = (-6)*(-58) → -12x + 60y = 348
Step 2: Subtract the two new equations.
(30x + 60y)-(-12x + 60y) = (-30) - 348
42x = -378
Step3: Solve for x.
x = (-378) / 42 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-10)*(5x - 9y) = (-10)*70 → -50x + 90y = -700
Step 2: Subtract the two new equations.
(-90x + 90y)-(-50x + 90y) = (-540) - (-700)
-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 spec... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 14x = -70
Step3: Solve for x.
x = (-70) / 14 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-714) / 102 = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -20x = -140
Step3: Solve for x.
x = (-140) / (-20) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 62x = -124
Step3: Solve for x.
x = (-124) / 62 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-6)*(-4x - y) = (-6)*(-13) → 24x + 6y = 78
Step 2: Subtract the two new equations.
(x + 6y)-(24x + 6y) = 55 - 78
-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 spec... | Step3: Solve for x.
x = 576 / 72 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -18x = 18
Step3: Solve for x.
x = 18 / (-18) = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(48x + 60y)-(40x + 60y) = (-108) - (-60)
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 spec... | Step3: Solve for x.
x = 64 / (-8) = -8
The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-5)*(10x + 6y) = (-5)*28 → -50x - 30y = -140
6*(2x - 5y) = 6*(-13) → 12x - 30y = -78
Step 2: Subtract the two new equations.
(-50x - 30y)-(12x - 30y) = (-140) - (-78)
-62x = -62
Step3: Solve for x.
x = (-62) / (-62) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-141) / (-47) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-188) / (-47) = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-9)*(-10x - 6y) = (-9)*(-16) → 90x + 54y = 144
(-6)*(5x - 9y) = (-6)*116 → -30x + 54y = -696
Step 2: Subtract the two new equations.
(90x + 54y)-(-30x + 54y) = 144 - (-696)
120x = 840
Step3: Solve for x.
x = 840 / 120 = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(35x - 7y)-(9x - 7y) = (-196) - (-66)
26x = -130
Step3: Solve for x.
x = (-130) / 26 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
2*(-x + y) = 2*9 → -2x + 2y = 18
1*(7x + 2y) = 1*(-63) → 7x + 2y = -63
Step 2: Subtract the two new equations.
(-2x + 2y)-(7x + 2y) = 18 - (-63)
-9x = 81
Step3: Solve for x.
x = 81 / (-9) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-96) / (-48) = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 0 / 31 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 8x = -40
Step3: Solve for x.
x = (-40) / 8 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 2x = -6
Step3: Solve for x.
x = (-6) / 2 = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-45x - 45y)-(63x - 45y) = 0 - 108
-108x = -108
Step3: Solve for x.
x = (-108) / (-108) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 480 / 48 = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-252) / (-36) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 7*(-3y) = 7*18 → -21y = 126
Step 2: Subtract the two new equations.
(-12x - 21y)-(-21y) = 78 - 126
-12x = -48
Step3: Solve for x.
x = (-48) / (-12) = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-10)*(7x - 6y) = (-10)*18 → -70x + 60y = -180
Step 2: Subtract the two new equations.
(42x + 60y)-(-70x + 60y) = 492 - (-180)
112x = 672
Step3: Solve for x.
x = 672 / 112 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -20x = -120
Step3: Solve for x.
x = (-120) / (-20) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 120x = 840
Step3: Solve for x.
x = 840 / 120 = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-4x + 6y)-(12x + 6y) = (-20) - 108
-16x = -128
Step3: Solve for x.
x = (-128) / (-16) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-8)*(10x - 7y) = (-8)*60 → -80x + 56y = -480
(-7)*(-6x - 8y) = (-7)*(-36) → 42x + 56y = 252
Step 2: Subtract the two new equations.
(-80x + 56y)-(42x + 56y) = (-480) - 252
-122x = -732
Step3: Solve for x.
x = (-732) / (-122) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -24x = -96
Step3: Solve for x.
x = (-96) / (-24) = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 3*(-6x + 10y) = 3*18 → -18x + 30y = 54
Step 2: Subtract the two new equations.
(-80x + 30y)-(-18x + 30y) = 550 - 54
-62x = 496
Step3: Solve for x.
x = 496 / (-62) = -8
The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | We are given the system:
-4x - 6y = -20
-7x - 3y = -5
Step 1: Multiply to align y-coefficients.
(-3)*(-4x - 6y) = (-3)*(-20) → 12x + 18y = 60
(-6)*(-7x - 3y) = (-6)*(-5) → 42x + 18y = 30
Step 2: Subtract the two new equations.
(12x + 18y)-(42x + 18y) = 60 - 30
-30x = 30
Step3: Solve for x.
x = 30 / (-30) = -1
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 spec... | Step 1: Multiply to align y-coefficients.
4*(6x + 9y) = 4*81 → 24x + 36y = 324
9*(7x + 4y) = 9*75 → 63x + 36y = 675
Step 2: Subtract the two new equations.
(24x + 36y)-(63x + 36y) = 324 - 675
-39x = -351
Step3: Solve for x.
x = (-351) / (-39) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -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 spec... | Step 2: Subtract the two new equations.
(-70x + 56y)-(-40x + 56y) = 294 - 24
-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 spec... | 5*(5x + 8y) = 5*34 → 25x + 40y = 170
Step 2: Subtract the two new equations.
(-56x + 40y)-(25x + 40y) = 656 - 170
-81x = 486
Step3: Solve for x.
x = 486 / (-81) = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-594) / 66 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -25x = 175
Step3: Solve for x.
x = 175 / (-25) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 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 spec... | 2*(x + 3y) = 2*(-16) → 2x + 6y = -32
Step 2: Subtract the two new equations.
(18x + 6y)-(2x + 6y) = 96 - (-32)
16x = 128
Step3: Solve for x.
x = 128 / 16 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -23x = -69
Step3: Solve for x.
x = (-69) / (-23) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-8)*(10x + y) = (-8)*84 → -80x - 8y = -672
1*(5x - 8y) = 1*93 → 5x - 8y = 93
Step 2: Subtract the two new equations.
(-80x - 8y)-(5x - 8y) = (-672) - 93
-85x = -765
Step3: Solve for x.
x = (-765) / (-85) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-2)*(-6x + 9y) = (-2)*78 → 12x - 18y = -156
9*(-3x - 2y) = 9*(-13) → -27x - 18y = -117
Step 2: Subtract the two new equations.
(12x - 18y)-(-27x - 18y) = (-156) - (-117)
39x = -39
Step3: Solve for x.
x = (-39) / 39 = -1
The answer: -1! | [
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