instruction stringlengths 1.68k 2.96k | 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 spec... | 10x = 30
Step3: Solve for x.
x = 30 / 10 = 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... | 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 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... | 1*(7x - 7y) = 1*28 → 7x - 7y = 28
Step 2: Subtract the two new equations.
(-49x - 7y)-(7x - 7y) = (-476) - 28
-56x = -504
Step3: Solve for x.
x = (-504) / (-56) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-36x + 24y)-(-40x + 24y) = (-72) - (-80)
4x = 8
Step3: Solve for x.
x = 8 / 4 = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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.
(63x + 18y)-(-10x + 18y) = (-369) - (-4)
73x = -365
Step3: Solve for x.
x = (-365) / 73 = -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*(7x + 4y) = 4*(-49) → 28x + 16y = -196
Step 2: Subtract the two new equations.
(-40x + 16y)-(28x + 16y) = 280 - (-196)
-68x = 476
Step3: Solve for x.
x = 476 / (-68) = -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: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-48x + 16y)-(-18x + 16y) = 416 - 236
-30x = 180
Step3: Solve for x.
x = 180 / (-30) = -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 = 28 / 4 = 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: -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... | -73x = -657
Step3: Solve for x.
x = (-657) / (-73) = 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... | 2x = 14
Step3: Solve for x.
x = 14 / 2 = 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.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a '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 spec... | -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | We are given the system:
-2x + 10y = -48
-10x + 4y = -10
Step 1: Multiply to align y-coefficients.
4*(-2x + 10y) = 4*(-48) → -8x + 40y = -192
10*(-10x + 4y) = 10*(-10) → -100x + 40y = -100
Step 2: Subtract the two new equations.
(-8x + 40y)-(-100x + 40y) = (-192) - (-100)
92x = -92
Step3: Solve for x.
x = (-92) ... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 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.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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 + 12y)-(-8x + 12y) = (-60) - (-120)
20x = 60
Step3: Solve for x.
x = 60 / 20 = 3
The answer: 3! | [
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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 spec... | The answer: -7! | [
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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 spec... | Step3: Solve for x.
x = (-180) / (-20) = 9
The answer: 9! | [
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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 spec... | -69x = 621
Step3: Solve for x.
x = 621 / (-69) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-16x + 12y)-(42x + 12y) = 0 - 348
-58x = -348
Step3: Solve for x.
x = (-348) / (-58) = 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... | (-2)*(7x - 10y) = (-2)*25 → -14x + 20y = -50
Step 2: Subtract the two new equations.
(-30x + 20y)-(-14x + 20y) = (-130) - (-50)
-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 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... | 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... | -5x = 15
Step3: Solve for x.
x = 15 / (-5) = -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: 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... | Step 2: Subtract the two new equations.
(2x + 2y)-(-7x + 2y) = 16 - 34
9x = -18
Step3: Solve for x.
x = (-18) / 9 = -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... | 5*(-10x - 4y) = 5*(-38) → -50x - 20y = -190
Step 2: Subtract the two new equations.
(24x - 20y)-(-50x - 20y) = 328 - (-190)
74x = 518
Step3: Solve for x.
x = 518 / 74 = 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... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
9*(8x - 5y) = 9*(-30) → 72x - 45y = -270
(-5)*(-9x + 9y) = (-5)*27 → 45x - 45y = -135
Step 2: Subtract the two new equations.
(72x - 45y)-(45x - 45y) = (-270) - (-135)
27x = -135
Step3: Solve for x.
x = (-135) / 27 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(18x + 42y)-(-56x + 42y) = 438 - 364
74x = 74
Step3: Solve for x.
x = 74 / 74 = 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... | 22x = -66
Step3: Solve for x.
x = (-66) / 22 = -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 - 8y) = 10*(-6) → -100x - 80y = -60
Step 2: Subtract the two new equations.
(40x - 80y)-(-100x - 80y) = (-200) - (-60)
140x = -140
Step3: Solve for x.
x = (-140) / 140 = -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.
(-32x + 72y)-(18x + 72y) = (-208) - (-558)
-50x = 350
Step3: Solve for x.
x = 350 / (-50) = -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... | We are given the system:
5x - 9y = -95
9x - 5y = -59
Step 1: Multiply to align y-coefficients.
(-5)*(5x - 9y) = (-5)*(-95) → -25x + 45y = 475
(-9)*(9x - 5y) = (-9)*(-59) → -81x + 45y = 531
Step 2: Subtract the two new equations.
(-25x + 45y)-(-81x + 45y) = 475 - 531
56x = -56
Step3: Solve for x.
x = (-56) / 56 =... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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... | -78x = 234
Step3: Solve for x.
x = 234 / (-78) = -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.
(40x - 15y)-(18x - 15y) = 80 - (-30)
22x = 110
Step3: Solve for x.
x = 110 / 22 = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-3)*(10x + 2y) = (-3)*64 → -30x - 6y = -192
2*(-10x - 3y) = 2*(-61) → -20x - 6y = -122
Step 2: Subtract the two new equations.
(-30x - 6y)-(-20x - 6y) = (-192) - (-122)
-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 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... | -92x = -828
Step3: Solve for x.
x = (-828) / (-92) = 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... | (-9)*(-x + 8y) = (-9)*65 → 9x - 72y = -585
Step 2: Subtract the two new equations.
(-48x - 72y)-(9x - 72y) = (-984) - (-585)
-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 spec... | We are given the system:
5x + 7y = 5
-9x - 3y = 39
Step 1: Multiply to align y-coefficients.
(-3)*(5x + 7y) = (-3)*5 → -15x - 21y = -15
7*(-9x - 3y) = 7*39 → -63x - 21y = 273
Step 2: Subtract the two new equations.
(-15x - 21y)-(-63x - 21y) = (-15) - 273
48x = -288
Step3: Solve for x.
x = (-288) / 48 = -6
The a... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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)*(-4y) = (-3)*(-40) → 12y = 120
(-4)*(5x - 3y) = (-4)*(-35) → -20x + 12y = 140
Step 2: Subtract the two new equations.
12y-(-20x + 12y) = 120 - 140
20x = -20
Step3: Solve for x.
x = (-20) / 20 = -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... | -10x = -80
Step3: Solve for x.
x = (-80) / (-10) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = 0 / 10 = 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 1: Multiply to align y-coefficients.
9*(-6x + 9y) = 9*132 → -54x + 81y = 1188
9*(-7x + 9y) = 9*139 → -63x + 81y = 1251
Step 2: Subtract the two new equations.
(-54x + 81y)-(-63x + 81y) = 1188 - 1251
9x = -63
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 spec... | Step 2: Subtract the two new equations.
(7x + 70y)-(-80x + 70y) = (-672) - (-150)
87x = -522
Step3: Solve for x.
x = (-522) / 87 = -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 = (-13) / 13 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-7)*(-2x + 8y) = (-7)*56 → 14x - 56y = -392
8*(-3x - 7y) = 8*(-30) → -24x - 56y = -240
Step 2: Subtract the two new equations.
(14x - 56y)-(-24x - 56y) = (-392) - (-240)
38x = -152
Step3: Solve for x.
x = (-152) / 38 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-42x - 12y)-(-12y) = 294 - 84
-42x = 210
Step3: Solve for x.
x = 210 / (-42) = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-10x + 18y)-(81x + 18y) = 96 - (-450)
-91x = 546
Step3: Solve for x.
x = 546 / (-91) = -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... | 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: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | The answer: 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... | (-9)*(3x - 4y) = (-9)*(-11) → -27x + 36y = 99
Step 2: Subtract the two new equations.
(32x + 36y)-(-27x + 36y) = 40 - 99
59x = -59
Step3: Solve for x.
x = (-59) / 59 = -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 = (-420) / 42 = -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... | -37x = 259
Step3: Solve for x.
x = 259 / (-37) = -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... | 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 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... | 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.
(6x - y)-(-9x - y) = 23 - (-37)
15x = 60
Step3: Solve for x.
x = 60 / 15 = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-6)*(3x - 10y) = (-6)*(-13) → -18x + 60y = 78
Step 2: Subtract the two new equations.
(-80x + 60y)-(-18x + 60y) = 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... | -82x = -410
Step3: Solve for x.
x = (-410) / (-82) = 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... | (-10)*(x + 5y) = (-10)*(-46) → -10x - 50y = 460
Step 2: Subtract the two new equations.
(20x - 50y)-(-10x - 50y) = 580 - 460
30x = 120
Step3: Solve for x.
x = 120 / 30 = 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: 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... | -9x = -27
Step3: Solve for x.
x = (-27) / (-9) = 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.
10*(-9x - 3y) = 10*(-57) → -90x - 30y = -570
(-3)*(7x + 10y) = (-3)*52 → -21x - 30y = -156
Step 2: Subtract the two new equations.
(-90x - 30y)-(-21x - 30y) = (-570) - (-156)
-69x = -414
Step3: Solve for x.
x = (-414) / (-69) = 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... | -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 = 207 / 69 = 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... | -39x = -234
Step3: Solve for x.
x = (-234) / (-39) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 1: Multiply to align y-coefficients.
(-7)*(-2x + 4y) = (-7)*4 → 14x - 28y = -28
4*(-9x - 7y) = 4*(-57) → -36x - 28y = -228
Step 2: Subtract the two new equations.
(14x - 28y)-(-36x - 28y) = (-28) - (-228)
50x = 200
Step3: Solve for x.
x = 200 / 50 = 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... | 1*(10x + 8y) = 1*18 → 10x + 8y = 18
Step 2: Subtract the two new equations.
(8x + 8y)-(10x + 8y) = 24 - 18
-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... | -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... | -15x = 60
Step3: Solve for x.
x = 60 / (-15) = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | 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 spec... | Step 1: Multiply to align y-coefficients.
(-1)*(-x - y) = (-1)*(-19) → x + y = 19
(-1)*(-7x - y) = (-1)*(-73) → 7x + y = 73
Step 2: Subtract the two new equations.
(x + y)-(7x + y) = 19 - 73
-6x = -54
Step3: Solve for x.
x = (-54) / (-6) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step 2: Subtract the two new equations.
(-63x - 9y)-(-10x - 9y) = 0 - 0
-53x = 0
Step3: Solve for x.
x = 0 / (-53) = -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... | 1x = -1
Step3: Solve for x.
x = (-1) / 1 = -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... | We are given the system:
3x - 4y = 4
7x - 4y = 36
Step 1: Multiply to align y-coefficients.
(-4)*(3x - 4y) = (-4)*4 → -12x + 16y = -16
(-4)*(7x - 4y) = (-4)*36 → -28x + 16y = -144
Step 2: Subtract the two new equations.
(-12x + 16y)-(-28x + 16y) = (-16) - (-144)
16x = 128
Step3: Solve for x.
x = 128 / 16 = 8
Th... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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... | (-9)*(7x - 4y) = (-9)*(-9) → -63x + 36y = 81
Step 2: Subtract the two new equations.
(36x + 36y)-(-63x + 36y) = (-216) - 81
99x = -297
Step3: Solve for x.
x = (-297) / 99 = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | (-9)*(-5x + 9y) = (-9)*(-20) → 45x - 81y = 180
Step 2: Subtract the two new equations.
(72x - 81y)-(45x - 81y) = 45 - 180
27x = -135
Step3: Solve for x.
x = (-135) / 27 = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your spec... | Step3: Solve for x.
x = (-396) / 99 = -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: -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! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
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... | (-7)*(x + 5y) = (-7)*(-35) → -7x - 35y = 245
Step 2: Subtract the two new equations.
(10x - 35y)-(-7x - 35y) = 415 - 245
17x = 170
Step3: Solve for x.
x = 170 / 17 = 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.
(-2)*(2x + 5y) = (-2)*(-36) → -4x - 10y = 72
5*(8x - 2y) = 5*76 → 40x - 10y = 380
Step 2: Subtract the two new equations.
(-4x - 10y)-(40x - 10y) = 72 - 380
-44x = -308
Step3: Solve for x.
x = (-308) / (-44) = 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 = 110 / (-22) = -5
The answer: -5! | [
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