instruction stringlengths 1.91k 3.04k | 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 ... | 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 ... | (-10)*(5x + 2y) = (-10)*(-25) → -50x - 20y = 250
Step 2: Subtract the two new equations.
(4x - 20y)-(-50x - 20y) = (-128) - 250
54x = -378
Step3: Solve for x.
x = (-378) / 54 = -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 ... | -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 ... | 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)*(-4x - 3y) = (-1)*24 → 4x + 3y = -24
Step 2: Subtract the two new equations.
3y-(4x + 3y) = (-24) - (-24)
-4x = 0
Step3: Solve for x.
x = 0 / (-4) = -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! | 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)*(-2x + 10y) = (-5)*32 → 10x - 50y = -160
Step 2: Subtract the two new equations.
(-30x - 50y)-(10x - 50y) = (-520) - (-160)
-40x = -360
Step3: Solve for x.
x = (-360) / (-40) = 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 ... | 55x = 275
Step3: Solve for x.
x = 275 / 55 = 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 1: Multiply to align y-coefficients.
2*(-8x - y) = 2*(-35) → -16x - 2y = -70
(-1)*(8x + 2y) = (-1)*30 → -8x - 2y = -30
Step 2: Subtract the two new equations.
(-16x - 2y)-(-8x - 2y) = (-70) - (-30)
-8x = -40
Step3: Solve for x.
x = (-40) / (-8) = 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 ... | 5*(8x - 7y) = 5*80 → 40x - 35y = 400
Step 2: Subtract the two new equations.
(-35x - 35y)-(40x - 35y) = 175 - 400
-75x = -225
Step3: Solve for x.
x = (-225) / (-75) = 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 ... | 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.
(49x - 49y)-(42x - 49y) = 490 - 434
7x = 56
Step3: Solve for x.
x = 56 / 7 = 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 = 80 / (-8) = -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 2: Subtract the two new equations.
(15x - 35y)-(28x - 35y) = 215 - 98
-13x = 117
Step3: Solve for x.
x = 117 / (-13) = -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 ... | -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 ... | We are given the system:
5x + 5y = -40
2y = 0
Step 1: Multiply to align y-coefficients.
2*(5x + 5y) = 2*(-40) → 10x + 10y = -80
5*2y = 5*0 → 10y = 0
Step 2: Subtract the two new equations.
(10x + 10y)-10y = (-80) - 0
10x = -80
Step3: Solve for x.
x = (-80) / 10 = -8
The answer: -8! | 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! | 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.
(-20x - 70y)-(56x - 70y) = 40 - 420
-76x = -380
Step3: Solve for x.
x = (-380) / (-76) = 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.
(-35x - 63y)-(36x - 63y) = 203 - 558
-71x = -355
Step3: Solve for x.
x = (-355) / (-71) = 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 ... | 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 ... | 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 ... | Step3: Solve for x.
x = (-345) / (-69) = 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 ... | -20x = -120
Step3: Solve for x.
x = (-120) / (-20) = 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 ... | 8*(-4x + 6y) = 8*(-36) → -32x + 48y = -288
Step 2: Subtract the two new equations.
(42x + 48y)-(-32x + 48y) = (-288) - (-288)
74x = 0
Step3: Solve for x.
x = 0 / 74 = 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 ... | -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 ... | 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 ... | Step3: Solve for x.
x = 570 / (-57) = -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 ... | -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 ... | 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: 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 ... | 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 ... | 21x = 168
Step3: Solve for x.
x = 168 / 21 = 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 2: Subtract the two new equations.
(54x - 36y)-(-28x - 36y) = 108 - 108
82x = 0
Step3: Solve for x.
x = 0 / 82 = 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.
(-60x - 10y)-(8x - 10y) = 10 - (-58)
-68x = 68
Step3: Solve for x.
x = 68 / (-68) = -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 ... | 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 ... | Step 1: Multiply to align y-coefficients.
1*(-7x - y) = 1*39 → -7x - y = 39
(-1)*(-5x + y) = (-1)*21 → 5x - y = -21
Step 2: Subtract the two new equations.
(-7x - y)-(5x - y) = 39 - (-21)
-12x = 60
Step3: Solve for x.
x = 60 / (-12) = -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 ... | (-9)*(7x + 4y) = (-9)*(-31) → -63x - 36y = 279
Step 2: Subtract the two new equations.
(-40x - 36y)-(-63x - 36y) = 72 - 279
23x = -207
Step3: Solve for x.
x = (-207) / 23 = -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 1: Multiply to align y-coefficients.
3*(-8x - y) = 3*56 → -24x - 3y = 168
(-1)*(-6x + 3y) = (-1)*42 → 6x - 3y = -42
Step 2: Subtract the two new equations.
(-24x - 3y)-(6x - 3y) = 168 - (-42)
-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 2: Subtract the two new equations.
(-16x + 4y)-(-6x + 4y) = (-128) - (-48)
-10x = -80
Step3: Solve for x.
x = (-80) / (-10) = 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 ... | Step 2: Subtract the two new equations.
(42x - 12y)-(-8x - 12y) = 18 - 68
50x = -50
Step3: Solve for x.
x = (-50) / 50 = -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 ... | -46x = -92
Step3: Solve for x.
x = (-92) / (-46) = 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 ... | (-1)*(-2y) = (-1)*2 → 2y = -2
Step 2: Subtract the two new equations.
(20x + 2y)-2y = 178 - (-2)
20x = 180
Step3: Solve for x.
x = 180 / 20 = 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 ... | 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 ... | (-9)*(-8x - 6y) = (-9)*40 → 72x + 54y = -360
Step 2: Subtract the two new equations.
(6x + 54y)-(72x + 54y) = (-228) - (-360)
-66x = 132
Step3: Solve for x.
x = 132 / (-66) = -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.
(-4)*(-x + 8y) = (-4)*75 → 4x - 32y = -300
8*(6x - 4y) = 8*(-54) → 48x - 32y = -432
Step 2: Subtract the two new equations.
(4x - 32y)-(48x - 32y) = (-300) - (-432)
-44x = 132
Step3: Solve for x.
x = 132 / (-44) = -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 ... | -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 ... | -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.
10*(-6x + 2y) = 10*36 → -60x + 20y = 360
2*(-7x + 10y) = 2*(-4) → -14x + 20y = -8
Step 2: Subtract the two new equations.
(-60x + 20y)-(-14x + 20y) = 360 - (-8)
-46x = 368
Step3: Solve for x.
x = 368 / (-46) = -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 ... | Step 1: Multiply to align y-coefficients.
2*(10x - 8y) = 2*54 → 20x - 16y = 108
(-8)*(-x + 2y) = (-8)*(-9) → 8x - 16y = 72
Step 2: Subtract the two new equations.
(20x - 16y)-(8x - 16y) = 108 - 72
12x = 36
Step3: Solve for x.
x = 36 / 12 = 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 ... | 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.
(-24x - 28y)-(21x - 28y) = 36 - 441
-45x = -405
Step3: Solve for x.
x = (-405) / (-45) = 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 ... | Step 1: Multiply to align y-coefficients.
2*(-6x - 4y) = 2*14 → -12x - 8y = 28
(-4)*(-6x + 2y) = (-4)*20 → 24x - 8y = -80
Step 2: Subtract the two new equations.
(-12x - 8y)-(24x - 8y) = 28 - (-80)
-36x = 108
Step3: Solve for x.
x = 108 / (-36) = -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 ... | 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 ... | We are given the system:
5x - 6y = 2
x - 10y = -26
Step 1: Multiply to align y-coefficients.
(-10)*(5x - 6y) = (-10)*2 → -50x + 60y = -20
(-6)*(x - 10y) = (-6)*(-26) → -6x + 60y = 156
Step 2: Subtract the two new equations.
(-50x + 60y)-(-6x + 60y) = (-20) - 156
-44x = -176
Step3: Solve for x.
x = (-176) / (-44)... | 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 ... | -66x = 330
Step3: Solve for x.
x = 330 / (-66) = -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.
(9x + 27y)-(18x + 27y) = 207 - 279
-9x = -72
Step3: Solve for x.
x = (-72) / (-9) = 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 ... | -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 ... | -17x = 51
Step3: Solve for x.
x = 51 / (-17) = -3
The answer: -3! | 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 ... | Step 1: Multiply to align y-coefficients.
7*(10x - 2y) = 7*82 → 70x - 14y = 574
(-2)*(3x + 7y) = (-2)*55 → -6x - 14y = -110
Step 2: Subtract the two new equations.
(70x - 14y)-(-6x - 14y) = 574 - (-110)
76x = 684
Step3: Solve for x.
x = 684 / 76 = 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 ... | Step3: Solve for x.
x = 384 / 48 = 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 ... | Step3: Solve for x.
x = 102 / (-51) = -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 ... | Step3: Solve for x.
x = (-108) / 18 = -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 ... | 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 2: Subtract the two new equations.
(80x + 80y)-(40x + 80y) = 0 - 200
40x = -200
Step3: Solve for x.
x = (-200) / 40 = -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 ... | 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 ... | 3x = -27
Step3: Solve for x.
x = (-27) / 3 = -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)*(-7x + 6y) = (-9)*(-20) → 63x - 54y = 180
Step 2: Subtract the two new equations.
(-36x - 54y)-(63x - 54y) = 576 - 180
-99x = 396
Step3: Solve for x.
x = 396 / (-99) = -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 ... | 3x = 21
Step3: Solve for x.
x = 21 / 3 = 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 - 3y = 57
5x - 3y = -53
Step 1: Multiply to align y-coefficients.
(-3)*(-6x - 3y) = (-3)*57 → 18x + 9y = -171
(-3)*(5x - 3y) = (-3)*(-53) → -15x + 9y = 159
Step 2: Subtract the two new equations.
(18x + 9y)-(-15x + 9y) = (-171) - 159
33x = -330
Step3: Solve for x.
x = (-330) / 33 = -... | 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 = 224 / (-32) = -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 1: Multiply to align y-coefficients.
8*(-2x - 10y) = 8*(-42) → -16x - 80y = -336
(-10)*(-7x + 8y) = (-10)*68 → 70x - 80y = -680
Step 2: Subtract the two new equations.
(-16x - 80y)-(70x - 80y) = (-336) - (-680)
-86x = 344
Step3: Solve for x.
x = 344 / (-86) = -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 ... | 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 ... | Step3: Solve for x.
x = (-168) / (-56) = 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 = (-78) / 39 = -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.
10*(-8x + 2y) = 10*98 → -80x + 20y = 980
2*(-6x + 10y) = 2*150 → -12x + 20y = 300
Step 2: Subtract the two new equations.
(-80x + 20y)-(-12x + 20y) = 980 - 300
-68x = 680
Step3: Solve for x.
x = 680 / (-68) = -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)*(-5x + 2y) = (-5)*2 → 25x - 10y = -10
Step 2: Subtract the two new equations.
(10x - 10y)-(25x - 10y) = 50 - (-10)
-15x = 60
Step3: Solve for x.
x = 60 / (-15) = -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 ... | Step3: Solve for x.
x = (-66) / 22 = -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 1: Multiply to align y-coefficients.
(-10)*(6x - 9y) = (-10)*(-6) → -60x + 90y = 60
(-9)*(-7x - 10y) = (-9)*(-75) → 63x + 90y = 675
Step 2: Subtract the two new equations.
(-60x + 90y)-(63x + 90y) = 60 - 675
-123x = -615
Step3: Solve for x.
x = (-615) / (-123) = 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)*(3x + 10y) = (-8)*14 → -24x - 80y = -112
Step 2: Subtract the two new equations.
(100x - 80y)-(-24x - 80y) = 880 - (-112)
124x = 992
Step3: Solve for x.
x = 992 / 124 = 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 = 0 / 8 = 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 ... | -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.
10*(-2x - 7y) = 10*13 → -20x - 70y = 130
(-7)*(7x + 10y) = (-7)*(-31) → -49x - 70y = 217
Step 2: Subtract the two new equations.
(-20x - 70y)-(-49x - 70y) = 130 - 217
29x = -87
Step3: Solve for x.
x = (-87) / 29 = -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 ... | Step 1: Multiply to align y-coefficients.
2*(3x + 10y) = 2*114 → 6x + 20y = 228
10*(7x + 2y) = 10*74 → 70x + 20y = 740
Step 2: Subtract the two new equations.
(6x + 20y)-(70x + 20y) = 228 - 740
-64x = -512
Step3: Solve for x.
x = (-512) / (-64) = 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 ... | 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 ... | Step3: Solve for x.
x = (-324) / (-36) = 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 ... | 8*(-x + 9y) = 8*(-71) → -8x + 72y = -568
Step 2: Subtract the two new equations.
(-90x + 72y)-(-8x + 72y) = (-486) - (-568)
-82x = 82
Step3: Solve for x.
x = 82 / (-82) = -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: -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 ... | (-6)*(-2x + 4y) = (-6)*(-16) → 12x - 24y = 96
Step 2: Subtract the two new equations.
(-36x - 24y)-(12x - 24y) = 288 - 96
-48x = 192
Step3: Solve for x.
x = 192 / (-48) = -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 ... | Step 1: Multiply to align y-coefficients.
4*(x - 10y) = 4*(-51) → 4x - 40y = -204
(-10)*(-4x + 4y) = (-10)*(-12) → 40x - 40y = 120
Step 2: Subtract the two new equations.
(4x - 40y)-(40x - 40y) = (-204) - 120
-36x = -324
Step3: Solve for x.
x = (-324) / (-36) = 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 ... | 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 ... | (-2)*(-4x - 8y) = (-2)*(-20) → 8x + 16y = 40
Step 2: Subtract the two new equations.
(-72x + 16y)-(8x + 16y) = (-520) - 40
-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 ... | 19x = -38
Step3: Solve for x.
x = (-38) / 19 = -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 = (-270) / 30 = -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 ... | 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 ... | -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 ... | -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: 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 ... | Step3: Solve for x.
x = 378 / 42 = 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.
9*(-5x - y) = 9*43 → -45x - 9y = 387
(-1)*(5x + 9y) = (-1)*13 → -5x - 9y = -13
Step 2: Subtract the two new equations.
(-45x - 9y)-(-5x - 9y) = 387 - (-13)
-40x = 400
Step3: Solve for x.
x = 400 / (-40) = -10
The answer: -10! | 80 |
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