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 ... | Step 1: Multiply to align y-coefficients.
(-5)*(-9x - 8y) = (-5)*65 → 45x + 40y = -325
(-8)*(-9x - 5y) = (-8)*71 → 72x + 40y = -568
Step 2: Subtract the two new equations.
(45x + 40y)-(72x + 40y) = (-325) - (-568)
-27x = 243
Step3: Solve for x.
x = 243 / (-27) = -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 ... | 6*(-10x + 6y) = 6*104 → -60x + 36y = 624
Step 2: Subtract the two new equations.
(18x + 36y)-(-60x + 36y) = 0 - 624
78x = -624
Step3: Solve for x.
x = (-624) / 78 = -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 ... | 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 ... | -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 ... | Step3: Solve for x.
x = (-495) / 55 = -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 ... | 50x = -450
Step3: Solve for x.
x = (-450) / 50 = -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 ... | Step3: Solve for x.
x = 192 / (-32) = -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 ... | 80x = -640
Step3: Solve for x.
x = (-640) / 80 = -8
The answer: -8! | 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: -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 ... | 10*(-3x + 6y) = 10*(-42) → -30x + 60y = -420
Step 2: Subtract the two new equations.
(-42x + 60y)-(-30x + 60y) = (-420) - (-420)
-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 ... | (-9)*(-7x + 4y) = (-9)*88 → 63x - 36y = -792
Step 2: Subtract the two new equations.
(-36y)-(63x - 36y) = (-288) - (-792)
-63x = 504
Step3: Solve for x.
x = 504 / (-63) = -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 ... | Step 1: Multiply to align y-coefficients.
2*(x + 10y) = 2*53 → 2x + 20y = 106
10*(-x + 2y) = 10*19 → -10x + 20y = 190
Step 2: Subtract the two new equations.
(2x + 20y)-(-10x + 20y) = 106 - 190
12x = -84
Step3: Solve for x.
x = (-84) / 12 = -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 ... | -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 ... | 4*(-4x + 6y) = 4*(-18) → -16x + 24y = -72
Step 2: Subtract the two new equations.
(36x + 24y)-(-16x + 24y) = 396 - (-72)
52x = 468
Step3: Solve for x.
x = 468 / 52 = 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 ... | -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! | 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.
1*(7x + 5y) = 1*50 → 7x + 5y = 50
5*(9x + y) = 5*48 → 45x + 5y = 240
Step 2: Subtract the two new equations.
(7x + 5y)-(45x + 5y) = 50 - 240
-38x = -190
Step3: Solve for x.
x = (-190) / (-38) = 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 ... | Step 1: Multiply to align y-coefficients.
6*(7x + 10y) = 6*115 → 42x + 60y = 690
10*(-x + 6y) = 10*43 → -10x + 60y = 430
Step 2: Subtract the two new equations.
(42x + 60y)-(-10x + 60y) = 690 - 430
52x = 260
Step3: Solve for x.
x = 260 / 52 = 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 ... | -11x = 44
Step3: Solve for x.
x = 44 / (-11) = -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 ... | Step 1: Multiply to align y-coefficients.
(-3)*(2x - 4y) = (-3)*(-54) → -6x + 12y = 162
(-4)*(10x - 3y) = (-4)*(-117) → -40x + 12y = 468
Step 2: Subtract the two new equations.
(-6x + 12y)-(-40x + 12y) = 162 - 468
34x = -306
Step3: Solve for x.
x = (-306) / 34 = -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.
8*(x - 10y) = 8*(-95) → 8x - 80y = -760
(-10)*(-8x + 8y) = (-10)*112 → 80x - 80y = -1120
Step 2: Subtract the two new equations.
(8x - 80y)-(80x - 80y) = (-760) - (-1120)
-72x = 360
Step3: Solve for x.
x = 360 / (-72) = -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 ... | We are given the system:
2x + 7y = 13
-7x + 10y = -80
Step 1: Multiply to align y-coefficients.
10*(2x + 7y) = 10*13 → 20x + 70y = 130
7*(-7x + 10y) = 7*(-80) → -49x + 70y = -560
Step 2: Subtract the two new equations.
(20x + 70y)-(-49x + 70y) = 130 - (-560)
69x = 690
Step3: Solve for x.
x = 690 / 69 = 10
The a... | 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 ... | -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: 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 ... | 19x = -152
Step3: Solve for x.
x = (-152) / 19 = -8
The answer: -8! | 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.
9*(-7x - 9y) = 9*58 → -63x - 81y = 522
(-9)*(3x + 9y) = (-9)*(-30) → -27x - 81y = 270
Step 2: Subtract the two new equations.
(-63x - 81y)-(-27x - 81y) = 522 - 270
-36x = 252
Step3: Solve for x.
x = 252 / (-36) = -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 ... | 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 ... | Step 1: Multiply to align y-coefficients.
(-8)*(-3x + 7y) = (-8)*30 → 24x - 56y = -240
7*(2x - 8y) = 7*(-30) → 14x - 56y = -210
Step 2: Subtract the two new equations.
(24x - 56y)-(14x - 56y) = (-240) - (-210)
10x = -30
Step3: Solve for x.
x = (-30) / 10 = -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 ... | Step 1: Multiply to align y-coefficients.
(-1)*(-4x + 5y) = (-1)*(-15) → 4x - 5y = 15
5*(-8x - y) = 5*(-85) → -40x - 5y = -425
Step 2: Subtract the two new equations.
(4x - 5y)-(-40x - 5y) = 15 - (-425)
44x = 440
Step3: Solve for x.
x = 440 / 44 = 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 ... | 5*(-6x - 7y) = 5*81 → -30x - 35y = 405
Step 2: Subtract the two new equations.
(-63x - 35y)-(-30x - 35y) = 735 - 405
-33x = 330
Step3: Solve for x.
x = 330 / (-33) = -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 ... | Step3: Solve for x.
x = 216 / 36 = 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 ... | 2*(-7x - 5y) = 2*(-20) → -14x - 10y = -40
Step 2: Subtract the two new equations.
(-50x - 10y)-(-14x - 10y) = (-400) - (-40)
-36x = -360
Step3: Solve for x.
x = (-360) / (-36) = 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: -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 ... | Step 2: Subtract the two new equations.
(54x - 54y)-(12x - 54y) = 270 - 438
42x = -168
Step3: Solve for x.
x = (-168) / 42 = -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 ... | Step 1: Multiply to align y-coefficients.
6*(-9y) = 6*27 → -54y = 162
(-9)*(-9x + 6y) = (-9)*(-99) → 81x - 54y = 891
Step 2: Subtract the two new equations.
(-54y)-(81x - 54y) = 162 - 891
-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 ... | -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 ... | 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 ... | We are given the system:
-6x + y = 15
3x - 8y = 15
Step 1: Multiply to align y-coefficients.
(-8)*(-6x + y) = (-8)*15 → 48x - 8y = -120
1*(3x - 8y) = 1*15 → 3x - 8y = 15
Step 2: Subtract the two new equations.
(48x - 8y)-(3x - 8y) = (-120) - 15
45x = -135
Step3: Solve for x.
x = (-135) / 45 = -3
The answer: -3! | 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 ... | -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 ... | 40x = 280
Step3: Solve for x.
x = 280 / 40 = 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 ... | 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 ... | Step 1: Multiply to align y-coefficients.
6*(9x - 10y) = 6*(-8) → 54x - 60y = -48
(-10)*(-7x + 6y) = (-10)*8 → 70x - 60y = -80
Step 2: Subtract the two new equations.
(54x - 60y)-(70x - 60y) = (-48) - (-80)
-16x = 32
Step3: Solve for x.
x = 32 / (-16) = -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 ... | Step3: Solve for x.
x = 143 / 143 = 1
The answer: 1! | 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 ... | -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 + 8y) = 4*(-52) → 24x + 32y = -208
8*(-3x + 4y) = 8*10 → -24x + 32y = 80
Step 2: Subtract the two new equations.
(24x + 32y)-(-24x + 32y) = (-208) - 80
48x = -288
Step3: Solve for x.
x = (-288) / 48 = -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 ... | 80x = 80
Step3: Solve for x.
x = 80 / 80 = 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 ... | Step3: Solve for x.
x = (-245) / (-35) = 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 ... | Step3: Solve for x.
x = 315 / (-105) = -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 ... | We are given the system:
5x + 7y = -25
-5x + 3y = -75
Step 1: Multiply to align y-coefficients.
3*(5x + 7y) = 3*(-25) → 15x + 21y = -75
7*(-5x + 3y) = 7*(-75) → -35x + 21y = -525
Step 2: Subtract the two new equations.
(15x + 21y)-(-35x + 21y) = (-75) - (-525)
50x = 450
Step3: Solve for x.
x = 450 / 50 = 9
The ... | 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 ... | 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 = (-336) / 48 = -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 ... | 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 ... | 27x = -270
Step3: Solve for x.
x = (-270) / 27 = -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 ... | 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 ... | 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 1: Multiply to align y-coefficients.
4*(3x - 5y) = 4*22 → 12x - 20y = 88
(-5)*(-6x + 4y) = (-5)*(-32) → 30x - 20y = 160
Step 2: Subtract the two new equations.
(12x - 20y)-(30x - 20y) = 88 - 160
-18x = -72
Step3: Solve for x.
x = (-72) / (-18) = 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 ... | -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 ... | (-8)*(-2x + 10y) = (-8)*58 → 16x - 80y = -464
Step 2: Subtract the two new equations.
(30x - 80y)-(16x - 80y) = (-450) - (-464)
14x = 14
Step3: Solve for x.
x = 14 / 14 = 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 ... | Step 2: Subtract the two new equations.
(-3x - 21y)-(21x - 21y) = (-93) - (-21)
-24x = -72
Step3: Solve for x.
x = (-72) / (-24) = 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 2: Subtract the two new equations.
(-27x - 72y)-(-32x - 72y) = 234 - 224
5x = 10
Step3: Solve for x.
x = 10 / 5 = 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 ... | (-1)*(8x + 4y) = (-1)*(-64) → -8x - 4y = 64
Step 2: Subtract the two new equations.
(-12x - 4y)-(-8x - 4y) = 84 - 64
-4x = 20
Step3: Solve for x.
x = 20 / (-4) = -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 ... | 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.
(-1)*(-5x + 3y) = (-1)*(-45) → 5x - 3y = 45
3*(-y) = 3*0 → -3y = 0
Step 2: Subtract the two new equations.
(5x - 3y)-(-3y) = 45 - 0
5x = 45
Step3: Solve for x.
x = 45 / 5 = 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 ... | -32x = -192
Step3: Solve for x.
x = (-192) / (-32) = 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 ... | -46x = -414
Step3: Solve for x.
x = (-414) / (-46) = 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 ... | Step3: Solve for x.
x = 180 / 45 = 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 ... | -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 ... | Step 2: Subtract the two new equations.
(-3x - 3y)-(-x - 3y) = 33 - 29
-2x = 4
Step3: Solve for x.
x = 4 / (-2) = -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 1: Multiply to align y-coefficients.
6*(-7x + 9y) = 6*85 → -42x + 54y = 510
9*(-8x + 6y) = 9*80 → -72x + 54y = 720
Step 2: Subtract the two new equations.
(-42x + 54y)-(-72x + 54y) = 510 - 720
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 ... | 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 2: Subtract the two new equations.
(-18x - 18y)-(21x - 18y) = (-72) - (-33)
-39x = -39
Step3: Solve for x.
x = (-39) / (-39) = 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 ... | (-3)*(4x - 3y) = (-3)*(-13) → -12x + 9y = 39
Step 2: Subtract the two new equations.
(-24x + 9y)-(-12x + 9y) = 87 - 39
-12x = 48
Step3: Solve for x.
x = 48 / (-12) = -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*(-7x + 3y) = 8*(-67) → -56x + 24y = -536
Step 2: Subtract the two new equations.
(-21x + 24y)-(-56x + 24y) = (-186) - (-536)
35x = 350
Step3: Solve for x.
x = 350 / 35 = 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 ... | Step3: Solve for x.
x = 32 / (-32) = -1
The answer: -1! | 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: -2! | 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 ... | -72x = 144
Step3: Solve for x.
x = 144 / (-72) = -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 ... | 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 ... | 72x = -360
Step3: Solve for x.
x = (-360) / 72 = -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 ... | (-9)*(-8x - 5y) = (-9)*(-109) → 72x + 45y = 981
Step 2: Subtract the two new equations.
(-30x + 45y)-(72x + 45y) = 165 - 981
-102x = -816
Step3: Solve for x.
x = (-816) / (-102) = 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 ... | Step3: Solve for x.
x = 576 / 72 = 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 ... | (-8)*(-3y) = (-8)*(-3) → 24y = 24
Step 2: Subtract the two new equations.
(-3x + 24y)-24y = 45 - 24
-3x = 21
Step3: Solve for x.
x = 21 / (-3) = -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 2: Subtract the two new equations.
(6x + 6y)-(4x + 6y) = (-24) - (-30)
2x = 6
Step3: Solve for x.
x = 6 / 2 = 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 2: Subtract the two new equations.
(-35x + 5y)-(-x + 5y) = (-230) - (-26)
-34x = -204
Step3: Solve for x.
x = (-204) / (-34) = 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 ... | 19x = -171
Step3: Solve for x.
x = (-171) / 19 = -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 ... | -31x = -31
Step3: Solve for x.
x = (-31) / (-31) = 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 ... | 40x = -80
Step3: Solve for x.
x = (-80) / 40 = -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 ... | 71x = 426
Step3: Solve for x.
x = 426 / 71 = 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 ... | Step3: Solve for x.
x = 60 / (-20) = -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 ... | 63x = -315
Step3: Solve for x.
x = (-315) / 63 = -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 ... | 5*(-10x - 10y) = 5*(-80) → -50x - 50y = -400
Step 2: Subtract the two new equations.
(50x - 50y)-(-50x - 50y) = (-100) - (-400)
100x = 300
Step3: Solve for x.
x = 300 / 100 = 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 ... | 8*(-y) = 8*0 → -8y = 0
Step 2: Subtract the two new equations.
(7x - 8y)-(-8y) = 21 - 0
7x = 21
Step3: Solve for x.
x = 21 / 7 = 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 ... | Step 1: Multiply to align y-coefficients.
5*(2x + 6y) = 5*42 → 10x + 30y = 210
6*(10x + 5y) = 6*85 → 60x + 30y = 510
Step 2: Subtract the two new equations.
(10x + 30y)-(60x + 30y) = 210 - 510
-50x = -300
Step3: Solve for x.
x = (-300) / (-50) = 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 ... | 17x = 0
Step3: Solve for x.
x = 0 / 17 = 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)*8y = (-2)*(-8) → -16y = 16
Step 2: Subtract the two new equations.
(-72x - 16y)-(-16y) = 88 - 16
-72x = 72
Step3: Solve for x.
x = 72 / (-72) = -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 ... | Step 2: Subtract the two new equations.
(27x + 54y)-(12x + 54y) = (-729) - (-594)
15x = -135
Step3: Solve for x.
x = (-135) / 15 = -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 ... | 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 ... | 7x = 0
Step3: Solve for x.
x = 0 / 7 = 0
The answer: 0! | 40 |
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