instruction stringlengths 1.76k 3.02k | answer stringlengths 2 358 | percent int64 1 100 |
|---|---|---|
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(15x - 15y)-(5x - 15y) = (-105) - (-105)
10x = 0
Step3: Solve for x.
x = 0 / 10 = 0
The answer: 0! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-12x - 16y)-(72x - 16y) = 68 - (-184)
-84x = 252
Step3: Solve for x.
x = 252 / (-84) = -3
The answer: -3! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -9! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-360) / 120 = -3
The answer: -3! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-8x + 18y)-(27x + 18y) = (-104) - 36
-35x = -140
Step3: Solve for x.
x = (-140) / (-35) = 4
The answer: 4! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 34x = -170
Step3: Solve for x.
x = (-170) / 34 = -5
The answer: -5! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -3! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 1*(-8x - 2y) = 1*(-10) β -8x - 2y = -10
Step 2: Subtract the two new equations.
(-20x - 2y)-(-8x - 2y) = (-10) - (-10)
-12x = 0
Step3: Solve for x.
x = 0 / (-12) = -0
The answer: -0! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 50x = 100
Step3: Solve for x.
x = 100 / 50 = 2
The answer: 2! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-272) / (-34) = 8
The answer: 8! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-9)*(9x - 6y) = (-9)*(-63) β -81x + 54y = 567
(-6)*(-9y) = (-6)*27 β 54y = -162
Step 2: Subtract the two new equations.
(-81x + 54y)-54y = 567 - (-162)
-81x = 729
Step3: Solve for x.
x = 729 / (-81) = -9
The answer: -9! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
-6x + 7y = -60
-7x - 6y = 15
Step 1: Multiply to align y-coefficients.
(-6)*(-6x + 7y) = (-6)*(-60) β 36x - 42y = 360
7*(-7x - 6y) = 7*15 β -49x - 42y = 105
Step 2: Subtract the two new equations.
(36x - 42y)-(-49x - 42y) = 360 - 105
85x = 255
Step3: Solve for x.
x = 255 / 85 = 3
The an... | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
-9x + 5y = 135
-8x + 5y = 125
Step 1: Multiply to align y-coefficients.
5*(-9x + 5y) = 5*135 β -45x + 25y = 675
5*(-8x + 5y) = 5*125 β -40x + 25y = 625
Step 2: Subtract the two new equations.
(-45x + 25y)-(-40x + 25y) = 675 - 625
-5x = 50
Step3: Solve for x.
x = 50 / (-5) = -10
The answ... | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7*(-5x - 9y) = 7*22 β -35x - 63y = 154
Step 2: Subtract the two new equations.
(-9x - 63y)-(-35x - 63y) = (-54) - 154
26x = -208
Step3: Solve for x.
x = (-208) / 26 = -8
The answer: -8! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -10! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-318) / 53 = -6
The answer: -6! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(30x + 30y)-(-40x + 30y) = (-30) - (-380)
70x = 350
Step3: Solve for x.
x = 350 / 70 = 5
The answer: 5! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -4! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 3! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -4! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-2)*(9x + 3y) = (-2)*(-12) β -18x - 6y = 24
Step 2: Subtract the two new equations.
(30x - 6y)-(-18x - 6y) = 72 - 24
48x = 48
Step3: Solve for x.
x = 48 / 48 = 1
The answer: 1! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -9! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -1! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 4! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -6! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -6! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(45x + 63y)-(-14x + 63y) = (-324) - (-147)
59x = -177
Step3: Solve for x.
x = (-177) / 59 = -3
The answer: -3! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(-8x + 2y) = (-6)*(-42) β 48x - 12y = 252
2*(5x - 6y) = 2*69 β 10x - 12y = 138
Step 2: Subtract the two new equations.
(48x - 12y)-(10x - 12y) = 252 - 138
38x = 114
Step3: Solve for x.
x = 114 / 38 = 3
The answer: 3! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 3! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
8*(10x - 7y) = 8*(-59) β 80x - 56y = -472
(-7)*(5x + 8y) = (-7)*(-64) β -35x - 56y = 448
Step 2: Subtract the two new equations.
(80x - 56y)-(-35x - 56y) = (-472) - 448
115x = -920
Step3: Solve for x.
x = (-920) / 115 = -8
The answer: -8! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 4! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-765) / 85 = -9
The answer: -9! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -9! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
9*(5x - 4y) = 9*42 β 45x - 36y = 378
(-4)*(3x + 9y) = (-4)*48 β -12x - 36y = -192
Step 2: Subtract the two new equations.
(45x - 36y)-(-12x - 36y) = 378 - (-192)
57x = 570
Step3: Solve for x.
x = 570 / 57 = 10
The answer: 10! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -3! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 249 / 83 = 3
The answer: 3! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 112 / 28 = 4
The answer: 4! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
-x - 8y = 9
2x + 8y = -10
Step 1: Multiply to align y-coefficients.
8*(-x - 8y) = 8*9 β -8x - 64y = 72
(-8)*(2x + 8y) = (-8)*(-10) β -16x - 64y = 80
Step 2: Subtract the two new equations.
(-8x - 64y)-(-16x - 64y) = 72 - 80
8x = -8
Step3: Solve for x.
x = (-8) / 8 = -1
The answer: -1! | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 1*(-5x - 3y) = 1*20 β -5x - 3y = 20
Step 2: Subtract the two new equations.
(12x - 3y)-(-5x - 3y) = (-99) - 20
17x = -119
Step3: Solve for x.
x = (-119) / 17 = -7
The answer: -7! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-5)*(-2x + 10y) = (-5)*108 β 10x - 50y = -540
Step 2: Subtract the two new equations.
(-90x - 50y)-(10x - 50y) = 360 - (-540)
-100x = 900
Step3: Solve for x.
x = 900 / (-100) = -9
The answer: -9! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
8x - 8y = 32
-4x + 10y = 8
Step 1: Multiply to align y-coefficients.
10*(8x - 8y) = 10*32 β 80x - 80y = 320
(-8)*(-4x + 10y) = (-8)*8 β 32x - 80y = -64
Step 2: Subtract the two new equations.
(80x - 80y)-(32x - 80y) = 320 - (-64)
48x = 384
Step3: Solve for x.
x = 384 / 48 = 8
The answer... | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-15x - 20y)-(-36x - 20y) = 40 - 124
21x = -84
Step3: Solve for x.
x = (-84) / 21 = -4
The answer: -4! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7*(-6x + 2y) = 7*(-6) β -42x + 14y = -42
Step 2: Subtract the two new equations.
(-4x + 14y)-(-42x + 14y) = (-4) - (-42)
38x = 38
Step3: Solve for x.
x = 38 / 38 = 1
The answer: 1! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -10! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 0 / (-69) = -0
The answer: -0! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-10)*(4x - 8y) = (-10)*(-36) β -40x + 80y = 360
Step 2: Subtract the two new equations.
(40x + 80y)-(-40x + 80y) = 280 - 360
80x = -80
Step3: Solve for x.
x = (-80) / 80 = -1
The answer: -1! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-6)*(7x + 8y) = (-6)*(-1) β -42x - 48y = 6
Step 2: Subtract the two new equations.
(-80x - 48y)-(-42x - 48y) = (-336) - 6
-38x = -342
Step3: Solve for x.
x = (-342) / (-38) = 9
The answer: 9! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -130x = 650
Step3: Solve for x.
x = 650 / (-130) = -5
The answer: -5! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(6x + 20y)-(70x + 20y) = 96 - (-160)
-64x = 256
Step3: Solve for x.
x = 256 / (-64) = -4
The answer: -4! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-6)*(-7x - 3y) = (-6)*(-46) β 42x + 18y = 276
Step 2: Subtract the two new equations.
(-9x + 18y)-(42x + 18y) = (-234) - 276
-51x = -510
Step3: Solve for x.
x = (-510) / (-51) = 10
The answer: 10! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -4! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 8x = 8
Step3: Solve for x.
x = 8 / 8 = 1
The answer: 1! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-5)*(-8x + 7y) = (-5)*(-80) β 40x - 35y = 400
7*(-10x - 5y) = 7*10 β -70x - 35y = 70
Step 2: Subtract the two new equations.
(40x - 35y)-(-70x - 35y) = 400 - 70
110x = 330
Step3: Solve for x.
x = 330 / 110 = 3
The answer: 3! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 5! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -8! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 8*(-3x - 4y) = 8*(-2) β -24x - 32y = -16
Step 2: Subtract the two new equations.
(40x - 32y)-(-24x - 32y) = (-144) - (-16)
64x = -128
Step3: Solve for x.
x = (-128) / 64 = -2
The answer: -2! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-1)*(6x - 9y) = (-1)*(-129) β -6x + 9y = 129
(-9)*(-2x - y) = (-9)*7 β 18x + 9y = -63
Step 2: Subtract the two new equations.
(-6x + 9y)-(18x + 9y) = 129 - (-63)
-24x = 192
Step3: Solve for x.
x = 192 / (-24) = -8
The answer: -8! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-60) / (-15) = 4
The answer: 4! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-3)*(-5x - 6y) = (-3)*(-19) β 15x + 18y = 57
(-6)*(x - 3y) = (-6)*(-13) β -6x + 18y = 78
Step 2: Subtract the two new equations.
(15x + 18y)-(-6x + 18y) = 57 - 78
21x = -21
Step3: Solve for x.
x = (-21) / 21 = -1
The answer: -1! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
60y-(50x + 60y) = (-120) - (-620)
-50x = 500
Step3: Solve for x.
x = 500 / (-50) = -10
The answer: -10! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
2*(-8x + y) = 2*(-13) β -16x + 2y = -26
1*(5x + 2y) = 1*16 β 5x + 2y = 16
Step 2: Subtract the two new equations.
(-16x + 2y)-(5x + 2y) = (-26) - 16
-21x = -42
Step3: Solve for x.
x = (-42) / (-21) = 2
The answer: 2! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-8)*(-4x - 7y) = (-8)*78 β 32x + 56y = -624
(-7)*(-7x - 8y) = (-7)*111 β 49x + 56y = -777
Step 2: Subtract the two new equations.
(32x + 56y)-(49x + 56y) = (-624) - (-777)
-17x = 153
Step3: Solve for x.
x = 153 / (-17) = -9
The answer: -9! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(-3x - 4y) = (-6)*34 β 18x + 24y = -204
(-4)*(-x - 6y) = (-4)*30 β 4x + 24y = -120
Step 2: Subtract the two new equations.
(18x + 24y)-(4x + 24y) = (-204) - (-120)
14x = -84
Step3: Solve for x.
x = (-84) / 14 = -6
The answer: -6! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-56x - 72y)-(-72x - 72y) = 912 - 1008
16x = -96
Step3: Solve for x.
x = (-96) / 16 = -6
The answer: -6! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-16x - 4y)-(18x - 4y) = 4 - 72
-34x = -68
Step3: Solve for x.
x = (-68) / (-34) = 2
The answer: 2! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7*(9x - 3y) = 7*(-36) β 63x - 21y = -252
Step 2: Subtract the two new equations.
(3x - 21y)-(63x - 21y) = (-132) - (-252)
-60x = 120
Step3: Solve for x.
x = 120 / (-60) = -2
The answer: -2! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 1*(-2x - 4y) = 1*24 β -2x - 4y = 24
Step 2: Subtract the two new equations.
(32x - 4y)-(-2x - 4y) = 160 - 24
34x = 136
Step3: Solve for x.
x = 136 / 34 = 4
The answer: 4! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -1x = -4
Step3: Solve for x.
x = (-4) / (-1) = 4
The answer: 4! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 1! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 5! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-2)*(4x + 8y) = (-2)*52 β -8x - 16y = -104
Step 2: Subtract the two new equations.
(-40x - 16y)-(-8x - 16y) = 120 - (-104)
-32x = 224
Step3: Solve for x.
x = 224 / (-32) = -7
The answer: -7! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -9! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-9) / (-3) = 3
The answer: 3! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 4! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -6! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -3! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -27x = -108
Step3: Solve for x.
x = (-108) / (-27) = 4
The answer: 4! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -7! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -6! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-7)*(-2x + 8y) = (-7)*86 β 14x - 56y = -602
Step 2: Subtract the two new equations.
(-72x - 56y)-(14x - 56y) = (-344) - (-602)
-86x = 258
Step3: Solve for x.
x = 258 / (-86) = -3
The answer: -3! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-98) / (-49) = 2
The answer: 2! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-6)*(-2x + y) = (-6)*(-7) β 12x - 6y = 42
1*(3x - 6y) = 1*33 β 3x - 6y = 33
Step 2: Subtract the two new equations.
(12x - 6y)-(3x - 6y) = 42 - 33
9x = 9
Step3: Solve for x.
x = 9 / 9 = 1
The answer: 1! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-1)*(-2x + 10y) = (-1)*(-20) β 2x - 10y = 20
Step 2: Subtract the two new equations.
(40x - 10y)-(2x - 10y) = 20 - 20
38x = 0
Step3: Solve for x.
x = 0 / 38 = 0
The answer: 0! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 5! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 7! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 90 / (-9) = -10
The answer: -10! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
9*(9x + 6y) = 9*39 β 81x + 54y = 351
6*(3x + 9y) = 6*(-36) β 18x + 54y = -216
Step 2: Subtract the two new equations.
(81x + 54y)-(18x + 54y) = 351 - (-216)
63x = 567
Step3: Solve for x.
x = 567 / 63 = 9
The answer: 9! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-16x + 8y)-(4x + 8y) = 32 - (-88)
-20x = 120
Step3: Solve for x.
x = 120 / (-20) = -6
The answer: -6! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(5x + 5y)-(-30x + 5y) = 25 - (-290)
35x = 315
Step3: Solve for x.
x = 315 / 35 = 9
The answer: 9! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 6*(7x - 4y) = 6*(-25) β 42x - 24y = -150
Step 2: Subtract the two new equations.
(-24x - 24y)-(42x - 24y) = (-216) - (-150)
-66x = -66
Step3: Solve for x.
x = (-66) / (-66) = 1
The answer: 1! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -3! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 0 / 21 = 0
The answer: 0! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 12x = 108
Step3: Solve for x.
x = 108 / 12 = 9
The answer: 9! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 9! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -2! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 330 / 55 = 6
The answer: 6! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -3! | 1 |
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