instruction stringlengths 1.79k 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 ... | 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 ... | (-9)*(4x - y) = (-9)*(-17) → -36x + 9y = 153
Step 2: Subtract the two new equations.
(4x + 9y)-(-36x + 9y) = 33 - 153
40x = -120
Step3: Solve for x.
x = (-120) / 40 = -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 ... | 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 ... | -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 ... | 42x = 0
Step3: Solve for x.
x = 0 / 42 = 0
The answer: 0! | 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 ... | 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 ... | 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 ... | 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: 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 ... | -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 ... | 3*(-2x - 2y) = 3*(-2) → -6x - 6y = -6
Step 2: Subtract the two new equations.
(-4x - 6y)-(-6x - 6y) = 6 - (-6)
2x = 12
Step3: Solve for x.
x = 12 / 2 = 6
The answer: 6! | 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.
4*(10x + 3y) = 4*(-82) → 40x + 12y = -328
3*(-10x + 4y) = 3*124 → -30x + 12y = 372
Step 2: Subtract the two new equations.
(40x + 12y)-(-30x + 12y) = (-328) - 372
70x = -700
Step3: Solve for x.
x = (-700) / 70 = -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 ... | Step 1: Multiply to align y-coefficients.
(-4)*(2x + y) = (-4)*(-11) → -8x - 4y = 44
1*(x - 4y) = 1*35 → x - 4y = 35
Step 2: Subtract the two new equations.
(-8x - 4y)-(x - 4y) = 44 - 35
-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 ... | Step 2: Subtract the two new equations.
(35x + 30y)-(24x + 30y) = 295 - 240
11x = 55
Step3: Solve for x.
x = 55 / 11 = 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 ... | Step 2: Subtract the two new equations.
(-4x - 20y)-(30x - 20y) = 4 - (-30)
-34x = 34
Step3: Solve for x.
x = 34 / (-34) = -1
The answer: -1! | 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.
(54x + 9y)-(-7x + 9y) = (-522) - (-34)
61x = -488
Step3: Solve for x.
x = (-488) / 61 = -8
The answer: -8! | 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 ... | Step3: Solve for x.
x = (-60) / 6 = -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 ... | -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 ... | -36x = 360
Step3: Solve for x.
x = 360 / (-36) = -10
The answer: -10! | 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 ... | 29x = 203
Step3: Solve for x.
x = 203 / 29 = 7
The answer: 7! | 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.
(-6)*(-10x + 3y) = (-6)*50 → 60x - 18y = -300
3*(10x - 6y) = 3*(-50) → 30x - 18y = -150
Step 2: Subtract the two new equations.
(60x - 18y)-(30x - 18y) = (-300) - (-150)
30x = -150
Step3: Solve for x.
x = (-150) / 30 = -5
The answer: -5! | 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 ... | 8*(-2x - 5y) = 8*(-17) → -16x - 40y = -136
Step 2: Subtract the two new equations.
(-40x - 40y)-(-16x - 40y) = (-40) - (-136)
-24x = 96
Step3: Solve for x.
x = 96 / (-24) = -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 ... | -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 ... | Step 1: Multiply to align y-coefficients.
4*(-6x - 9y) = 4*(-27) → -24x - 36y = -108
(-9)*(10x + 4y) = (-9)*(-10) → -90x - 36y = 90
Step 2: Subtract the two new equations.
(-24x - 36y)-(-90x - 36y) = (-108) - 90
66x = -198
Step3: Solve for x.
x = (-198) / 66 = -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 ... | 9*(10x - 7y) = 9*47 → 90x - 63y = 423
Step 2: Subtract the two new equations.
(14x - 63y)-(90x - 63y) = 119 - 423
-76x = -304
Step3: Solve for x.
x = (-304) / (-76) = 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 ... | 5x = -5
Step3: Solve for x.
x = (-5) / 5 = -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 ... | 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 ... | -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 = (-63) / (-9) = 7
The answer: 7! | 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 ... | 1*(2x + 5y) = 1*(-14) → 2x + 5y = -14
Step 2: Subtract the two new equations.
5y-(2x + 5y) = (-10) - (-14)
-2x = 4
Step3: Solve for x.
x = 4 / (-2) = -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 ... | (-8)*(-6x + y) = (-8)*(-18) → 48x - 8y = 144
Step 2: Subtract the two new equations.
(-x - 8y)-(48x - 8y) = (-52) - 144
-49x = -196
Step3: Solve for x.
x = (-196) / (-49) = 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 ... | -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 ... | Step 1: Multiply to align y-coefficients.
5*(4x + 6y) = 5*2 → 20x + 30y = 10
6*(-7x + 5y) = 6*(-81) → -42x + 30y = -486
Step 2: Subtract the two new equations.
(20x + 30y)-(-42x + 30y) = 10 - (-486)
62x = 496
Step3: Solve for x.
x = 496 / 62 = 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 ... | 5x = -5
Step3: Solve for x.
x = (-5) / 5 = -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 ... | The answer: -5! | 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.
(-7)*(4x - 9y) = (-7)*(-57) → -28x + 63y = 399
(-9)*(-4x - 7y) = (-9)*(-87) → 36x + 63y = 783
Step 2: Subtract the two new equations.
(-28x + 63y)-(36x + 63y) = 399 - 783
-64x = -384
Step3: Solve for x.
x = (-384) / (-64) = 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 ... | (-1)*(8x - 2y) = (-1)*70 → -8x + 2y = -70
Step 2: Subtract the two new equations.
(-10x + 2y)-(-8x + 2y) = (-90) - (-70)
-2x = -20
Step3: Solve for x.
x = (-20) / (-2) = 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 ... | 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 ... | Step 1: Multiply to align y-coefficients.
(-3)*(-9x - y) = (-3)*(-9) → 27x + 3y = 27
(-1)*(7x - 3y) = (-1)*7 → -7x + 3y = -7
Step 2: Subtract the two new equations.
(27x + 3y)-(-7x + 3y) = 27 - (-7)
34x = 34
Step3: Solve for x.
x = 34 / 34 = 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.
(35x + 20y)-(-32x + 20y) = (-435) - 168
67x = -603
Step3: Solve for x.
x = (-603) / 67 = -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 ... | 8*(7x - y) = 8*16 → 56x - 8y = 128
Step 2: Subtract the two new equations.
(9x - 8y)-(56x - 8y) = 34 - 128
-47x = -94
Step3: Solve for x.
x = (-94) / (-47) = 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.
(-7)*(10x + y) = (-7)*2 → -70x - 7y = -14
1*(-6x - 7y) = 1*(-14) → -6x - 7y = -14
Step 2: Subtract the two new equations.
(-70x - 7y)-(-6x - 7y) = (-14) - (-14)
-64x = 0
Step3: Solve for x.
x = 0 / (-64) = -0
The answer: -0! | 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 ... | 18x = -90
Step3: Solve for x.
x = (-90) / 18 = -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 ... | -34x = 238
Step3: Solve for x.
x = 238 / (-34) = -7
The answer: -7! | 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 ... | -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 ... | -60x = -60
Step3: Solve for x.
x = (-60) / (-60) = 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 2: Subtract the two new equations.
(4x - 20y)-(-50x - 20y) = 232 - (-200)
54x = 432
Step3: Solve for x.
x = 432 / 54 = 8
The answer: 8! | 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 ... | 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 1: Multiply to align y-coefficients.
(-2)*(9x + 8y) = (-2)*62 → -18x - 16y = -124
8*(-9x - 2y) = 8*(-2) → -72x - 16y = -16
Step 2: Subtract the two new equations.
(-18x - 16y)-(-72x - 16y) = (-124) - (-16)
54x = -108
Step3: Solve for x.
x = (-108) / 54 = -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 2: Subtract the two new equations.
(-45x - 36y)-(-8x - 36y) = (-360) - (-64)
-37x = -296
Step3: Solve for x.
x = (-296) / (-37) = 8
The answer: 8! | 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 ... | We are given the system:
10x - 4y = -4
8y = 48
Step 1: Multiply to align y-coefficients.
8*(10x - 4y) = 8*(-4) → 80x - 32y = -32
(-4)*8y = (-4)*48 → -32y = -192
Step 2: Subtract the two new equations.
(80x - 32y)-(-32y) = (-32) - (-192)
80x = 160
Step3: Solve for x.
x = 160 / 80 = 2
The answer: 2! | 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 ... | -0! | 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 ... | 7*(10x + 2y) = 7*(-84) → 70x + 14y = -588
Step 2: Subtract the two new equations.
(-10x + 14y)-(70x + 14y) = (-28) - (-588)
-80x = 560
Step3: Solve for x.
x = 560 / (-80) = -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 ... | Step3: Solve for x.
x = (-370) / 74 = -5
The answer: -5! | 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.
5*(9x + 2y) = 5*(-61) → 45x + 10y = -305
2*(5x + 5y) = 2*5 → 10x + 10y = 10
Step 2: Subtract the two new equations.
(45x + 10y)-(10x + 10y) = (-305) - 10
35x = -315
Step3: Solve for x.
x = (-315) / 35 = -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 ... | 7*(-8x + 2y) = 7*30 → -56x + 14y = 210
Step 2: Subtract the two new equations.
(-4x + 14y)-(-56x + 14y) = (-50) - 210
52x = -260
Step3: Solve for x.
x = (-260) / 52 = -5
The answer: -5! | 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 ... | We are given the system:
-9x + 7y = -38
2x + 8y = -68
Step 1: Multiply to align y-coefficients.
8*(-9x + 7y) = 8*(-38) → -72x + 56y = -304
7*(2x + 8y) = 7*(-68) → 14x + 56y = -476
Step 2: Subtract the two new equations.
(-72x + 56y)-(14x + 56y) = (-304) - (-476)
-86x = 172
Step3: Solve for x.
x = 172 / (-86) = -... | 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 1: Multiply to align y-coefficients.
(-4)*(-5x - 8y) = (-4)*25 → 20x + 32y = -100
(-8)*(9x - 4y) = (-8)*(-45) → -72x + 32y = 360
Step 2: Subtract the two new equations.
(20x + 32y)-(-72x + 32y) = (-100) - 360
92x = -460
Step3: Solve for x.
x = (-460) / 92 = -5
The answer: -5! | 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 ... | 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 = 189 / 21 = 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 ... | Step 1: Multiply to align y-coefficients.
(-5)*(-8x - 10y) = (-5)*(-112) → 40x + 50y = 560
(-10)*(3x - 5y) = (-10)*(-28) → -30x + 50y = 280
Step 2: Subtract the two new equations.
(40x + 50y)-(-30x + 50y) = 560 - 280
70x = 280
Step3: Solve for x.
x = 280 / 70 = 4
The answer: 4! | 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 + 9y) = 1*0 → -2x + 9y = 0
Step 2: Subtract the two new equations.
(63x + 9y)-(-2x + 9y) = 585 - 0
65x = 585
Step3: Solve for x.
x = 585 / 65 = 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 ... | Step 2: Subtract the two new equations.
(10x + 5y)-(-3x + 5y) = 10 - (-68)
13x = 78
Step3: Solve for x.
x = 78 / 13 = 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 ... | 4*(9x + 4y) = 4*35 → 36x + 16y = 140
Step 2: Subtract the two new equations.
16y-(36x + 16y) = 32 - 140
-36x = -108
Step3: Solve for x.
x = (-108) / (-36) = 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 ... | 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 ... | Step 2: Subtract the two new equations.
(-24x + 16y)-(-4x + 16y) = (-24) - (-124)
-20x = 100
Step3: Solve for x.
x = 100 / (-20) = -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 ... | Step 1: Multiply to align y-coefficients.
2*(5x + 4y) = 2*(-11) → 10x + 8y = -22
4*(-8x + 2y) = 4*26 → -32x + 8y = 104
Step 2: Subtract the two new equations.
(10x + 8y)-(-32x + 8y) = (-22) - 104
42x = -126
Step3: Solve for x.
x = (-126) / 42 = -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 ... | We are given the system:
-9x + 9y = 153
-2x - y = 4
Step 1: Multiply to align y-coefficients.
(-1)*(-9x + 9y) = (-1)*153 → 9x - 9y = -153
9*(-2x - y) = 9*4 → -18x - 9y = 36
Step 2: Subtract the two new equations.
(9x - 9y)-(-18x - 9y) = (-153) - 36
27x = -189
Step3: Solve for x.
x = (-189) / 27 = -7
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 ... | 45x = -450
Step3: Solve for x.
x = (-450) / 45 = -10
The answer: -10! | 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 ... | (-8)*(-6x + 3y) = (-8)*(-30) → 48x - 24y = 240
Step 2: Subtract the two new equations.
(-18x - 24y)-(48x - 24y) = (-222) - 240
-66x = -462
Step3: Solve for x.
x = (-462) / (-66) = 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 ... | Step 1: Multiply to align y-coefficients.
8*(-9x - y) = 8*(-57) → -72x - 8y = -456
(-1)*(2x + 8y) = (-1)*36 → -2x - 8y = -36
Step 2: Subtract the two new equations.
(-72x - 8y)-(-2x - 8y) = (-456) - (-36)
-70x = -420
Step3: Solve for x.
x = (-420) / (-70) = 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 ... | The answer: -8! | 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: 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 ... | 15x = 75
Step3: Solve for x.
x = 75 / 15 = 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.
(20x + 30y)-(24x + 30y) = (-90) - (-102)
-4x = 12
Step3: Solve for x.
x = 12 / (-4) = -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 ... | 5x = -30
Step3: Solve for x.
x = (-30) / 5 = -6
The answer: -6! | 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.
(20x + 70y)-(7x + 70y) = 410 - 371
13x = 39
Step3: Solve for x.
x = 39 / 13 = 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 ... | 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 ... | Step 2: Subtract the two new equations.
(-90x - 30y)-(-3x - 30y) = (-690) - (-255)
-87x = -435
Step3: Solve for x.
x = (-435) / (-87) = 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 ... | Step 1: Multiply to align y-coefficients.
8*(-10x - 3y) = 8*(-68) → -80x - 24y = -544
(-3)*(-10x + 8y) = (-3)*(-2) → 30x - 24y = 6
Step 2: Subtract the two new equations.
(-80x - 24y)-(30x - 24y) = (-544) - 6
-110x = -550
Step3: Solve for x.
x = (-550) / (-110) = 5
The answer: 5! | 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 2: Subtract the two new equations.
(-70x - 50y)-(30x - 50y) = (-240) - (-540)
-100x = 300
Step3: Solve for x.
x = 300 / (-100) = -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 ... | Step3: Solve for x.
x = 273 / (-39) = -7
The answer: -7! | 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 ... | 30x = 0
Step3: Solve for x.
x = 0 / 30 = 0
The answer: 0! | 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 ... | 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 ... | -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 ... | 7x = -49
Step3: Solve for x.
x = (-49) / 7 = -7
The answer: -7! | 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 ... | We are given the system:
6x + 6y = 42
4x + 10y = 58
Step 1: Multiply to align y-coefficients.
10*(6x + 6y) = 10*42 → 60x + 60y = 420
6*(4x + 10y) = 6*58 → 24x + 60y = 348
Step 2: Subtract the two new equations.
(60x + 60y)-(24x + 60y) = 420 - 348
36x = 72
Step3: Solve for x.
x = 72 / 36 = 2
The answer: 2! | 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 ... | Step3: Solve for x.
x = (-532) / (-76) = 7
The answer: 7! | 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.
(60x - 30y)-(27x - 30y) = 120 - 186
33x = -66
Step3: Solve for x.
x = (-66) / 33 = -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 ... | Step 2: Subtract the two new equations.
(-80x - 40y)-(-30x - 40y) = 0 - (-250)
-50x = 250
Step3: Solve for x.
x = 250 / (-50) = -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 ... | (-8)*(4x - 10y) = (-8)*(-34) → -32x + 80y = 272
Step 2: Subtract the two new equations.
(40x + 80y)-(-32x + 80y) = 920 - 272
72x = 648
Step3: Solve for x.
x = 648 / 72 = 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 ... | Step3: Solve for x.
x = 180 / (-36) = -5
The answer: -5! | 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.
(-2)*(-x + 8y) = (-2)*87 → 2x - 16y = -174
8*(4x - 2y) = 8*(-48) → 32x - 16y = -384
Step 2: Subtract the two new equations.
(2x - 16y)-(32x - 16y) = (-174) - (-384)
-30x = 210
Step3: Solve for x.
x = 210 / (-30) = -7
The answer: -7! | 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.
2*(4x - 3y) = 2*42 → 8x - 6y = 84
(-3)*(9x + 2y) = (-3)*77 → -27x - 6y = -231
Step 2: Subtract the two new equations.
(8x - 6y)-(-27x - 6y) = 84 - (-231)
35x = 315
Step3: Solve for x.
x = 315 / 35 = 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.
1*(-x + 2y) = 1*2 → -x + 2y = 2
2*(8x + y) = 2*35 → 16x + 2y = 70
Step 2: Subtract the two new equations.
(-x + 2y)-(16x + 2y) = 2 - 70
-17x = -68
Step3: Solve for x.
x = (-68) / (-17) = 4
The answer: 4! | 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 ... | -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 ... | 1*(7x + 3y) = 1*28 → 7x + 3y = 28
Step 2: Subtract the two new equations.
(-18x + 3y)-(7x + 3y) = 3 - 28
-25x = -25
Step3: Solve for x.
x = (-25) / (-25) = 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 ... | Step3: Solve for x.
x = 265 / 53 = 5
The answer: 5! | 20 |
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