instruction stringlengths 1.6k 5.31k | answer stringlengths 2 358 | percent int64 1 100 |
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
10*(6x + y) = 10*51 β 60x + 10y = 510
1*(-8x + 10y) = 1*(-34) β -8x + 10y = -34
Step 2: Subtract the two new equations.
(60x + 10y)-(-8x + 10y) = 510 - (-34)
68x = 544
Step3: Solve for x.
x = 544 / 68 = 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.
9*(x - 2y) = 9*(-17) β 9x - 18y = -153
(-2)*(10x + 9y) = (-2)*4 β -20x - 18y = -8
Step 2: Subtract the two new equations.
(9x - 18y)-(-20x - 18y) = (-153) - (-8)
29x = -145
Step3: Solve for x.
x = (-145) / 29 = -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 ... | Step3: Solve for x.
x = 126 / 21 = 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: -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 ... | Step 1: Multiply to align y-coefficients.
5*(-9x - 3y) = 5*30 β -45x - 15y = 150
(-3)*(-4x + 5y) = (-3)*(-12) β 12x - 15y = 36
Step 2: Subtract the two new equations.
(-45x - 15y)-(12x - 15y) = 150 - 36
-57x = 114
Step3: Solve for x.
x = 114 / (-57) = -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 = 48 / 48 = 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 ... | Step 2: Subtract the two new equations.
(18x + 30y)-(-60x + 30y) = 228 - 150
78x = 78
Step3: Solve for x.
x = 78 / 78 = 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: -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 ... | Step3: Solve for x.
x = 175 / 25 = 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.
(-54x + 45y)-(-10x + 45y) = (-36) - 140
-44x = -176
Step3: Solve for x.
x = (-176) / (-44) = 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 ... | 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 ... | 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 ... | (-1)*(5x - y) = (-1)*(-25) β -5x + y = 25
Step 2: Subtract the two new equations.
(10x + y)-(-5x + y) = (-65) - 25
15x = -90
Step3: Solve for x.
x = (-90) / 15 = -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 2: Subtract the two new equations.
(-12x - 2y)-(-3x - 2y) = (-100) - (-10)
-9x = -90
Step3: Solve for x.
x = (-90) / (-9) = 10
The answer: 10! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 48x = 336
Step3: Solve for x.
x = 336 / 48 = 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 ... | 2*(5x + 3y) = 2*12 β 10x + 6y = 24
Step 2: Subtract the two new equations.
(-9x + 6y)-(10x + 6y) = 81 - 24
-19x = 57
Step3: Solve for x.
x = 57 / (-19) = -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: 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 ... | 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 1: Multiply to align y-coefficients.
2*(2x - 4y) = 2*(-12) β 4x - 8y = -24
(-4)*(2x + 2y) = (-4)*36 β -8x - 8y = -144
Step 2: Subtract the two new equations.
(4x - 8y)-(-8x - 8y) = (-24) - (-144)
12x = 120
Step3: Solve for x.
x = 120 / 12 = 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.
10*(-2x - 4y) = 10*48 β -20x - 40y = 480
(-4)*(-3x + 10y) = (-4)*(-88) β 12x - 40y = 352
Step 2: Subtract the two new equations.
(-20x - 40y)-(12x - 40y) = 480 - 352
-32x = 128
Step3: Solve for x.
x = 128 / (-32) = -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 ... | (-2)*(5x - 10y) = (-2)*65 β -10x + 20y = -130
Step 2: Subtract the two new equations.
(-40x + 20y)-(-10x + 20y) = (-280) - (-130)
-30x = -150
Step3: Solve for x.
x = (-150) / (-30) = 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 ... | 3*(10x - 7y) = 3*(-11) β 30x - 21y = -33
Step 2: Subtract the two new equations.
(-42x - 21y)-(30x - 21y) = 399 - (-33)
-72x = 432
Step3: Solve for x.
x = 432 / (-72) = -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 ... | -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 ... | Step3: Solve for x.
x = 522 / (-58) = -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 ... | 2*(-x + 9y) = 2*(-8) β -2x + 18y = -16
Step 2: Subtract the two new equations.
(-45x + 18y)-(-2x + 18y) = (-360) - (-16)
-43x = -344
Step3: Solve for x.
x = (-344) / (-43) = 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.
4*(2x - 5y) = 4*12 β 8x - 20y = 48
(-5)*(-6x + 4y) = (-5)*30 β 30x - 20y = -150
Step 2: Subtract the two new equations.
(8x - 20y)-(30x - 20y) = 48 - (-150)
-22x = 198
Step3: Solve for x.
x = 198 / (-22) = -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: 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 ... | -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.
(16x + 24y)-(-18x + 24y) = (-88) - 252
34x = -340
Step3: Solve for x.
x = (-340) / 34 = -10
The answer: -10! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
5*(4x - 5y) = 5*(-26) β 20x - 25y = -130
(-5)*(x + 5y) = (-5)*(-19) β -5x - 25y = 95
Step 2: Subtract the two new equations.
(20x - 25y)-(-5x - 25y) = (-130) - 95
25x = -225
Step3: Solve for x.
x = (-225) / 25 = -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 ... | 9*(-9x + 7y) = 9*(-111) β -81x + 63y = -999
Step 2: Subtract the two new equations.
(7x + 63y)-(-81x + 63y) = (-119) - (-999)
88x = 880
Step3: Solve for x.
x = 880 / 88 = 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 ... | -99x = -495
Step3: Solve for x.
x = (-495) / (-99) = 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 ... | Step3: Solve for x.
x = (-60) / (-15) = 4
The answer: 4! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -23x = -69
Step3: Solve for x.
x = (-69) / (-23) = 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 ... | -60x = 180
Step3: Solve for x.
x = 180 / (-60) = -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 ... | Step 2: Subtract the two new equations.
(-14x + 14y)-(21x + 14y) = 56 - (-119)
-35x = 175
Step3: Solve for x.
x = 175 / (-35) = -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.
(-12x - 8y)-(-4x - 8y) = 64 - 48
-8x = 16
Step3: Solve for x.
x = 16 / (-8) = -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 ... | 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 ... | 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 ... | -54x = 54
Step3: Solve for x.
x = 54 / (-54) = -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.
(12x - 27y)-(-9x - 27y) = 72 - (-54)
21x = 126
Step3: Solve for x.
x = 126 / 21 = 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 ... | Step3: Solve for x.
x = 150 / 25 = 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 ... | Step3: Solve for x.
x = 372 / (-62) = -6
The answer: -6! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
5*(7x + 7y) = 5*14 β 35x + 35y = 70
7*(-10x + 5y) = 7*100 β -70x + 35y = 700
Step 2: Subtract the two new equations.
(35x + 35y)-(-70x + 35y) = 70 - 700
105x = -630
Step3: Solve for x.
x = (-630) / 105 = -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 ... | -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 ... | 9! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -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 ... | 4x = -16
Step3: Solve for x.
x = (-16) / 4 = -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 2: Subtract the two new equations.
(30x + 100y)-(-30x + 100y) = (-340) - (-460)
60x = 120
Step3: Solve for x.
x = 120 / 60 = 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 ... | The answer: -10! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-126) / (-63) = 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 ... | (-5)*(-3x + 8y) = (-5)*(-74) β 15x - 40y = 370
Step 2: Subtract the two new equations.
(16x - 40y)-(15x - 40y) = 376 - 370
1x = 6
Step3: Solve for x.
x = 6 / 1 = 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 ... | 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 ... | Step 1: Multiply to align y-coefficients.
5*(-8x + 10y) = 5*2 β -40x + 50y = 10
10*(-10x + 5y) = 10*55 β -100x + 50y = 550
Step 2: Subtract the two new equations.
(-40x + 50y)-(-100x + 50y) = 10 - 550
60x = -540
Step3: Solve for x.
x = (-540) / 60 = -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.
2*(3x + 3y) = 2*(-39) β 6x + 6y = -78
3*(-3x + 2y) = 3*(-6) β -9x + 6y = -18
Step 2: Subtract the two new equations.
(6x + 6y)-(-9x + 6y) = (-78) - (-18)
15x = -60
Step3: Solve for x.
x = (-60) / 15 = -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 ... | Step 1: Multiply to align y-coefficients.
(-10)*(-2x + y) = (-10)*(-14) β 20x - 10y = 140
1*(-10x - 10y) = 1*50 β -10x - 10y = 50
Step 2: Subtract the two new equations.
(20x - 10y)-(-10x - 10y) = 140 - 50
30x = 90
Step3: Solve for x.
x = 90 / 30 = 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 ... | 8*(10x - 7y) = 8*150 β 80x - 56y = 1200
Step 2: Subtract the two new equations.
(-70x - 56y)-(80x - 56y) = 0 - 1200
-150x = -1200
Step3: Solve for x.
x = (-1200) / (-150) = 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.
5*(8x - 7y) = 5*(-53) β 40x - 35y = -265
(-7)*(-4x + 5y) = (-7)*31 β 28x - 35y = -217
Step 2: Subtract the two new equations.
(40x - 35y)-(28x - 35y) = (-265) - (-217)
12x = -48
Step3: Solve for x.
x = (-48) / 12 = -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 ... | 80x = -800
Step3: Solve for x.
x = (-800) / 80 = -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 ... | Step 1: Multiply to align y-coefficients.
(-1)*(-5x - 8y) = (-1)*76 β 5x + 8y = -76
(-8)*(-5x - y) = (-8)*27 β 40x + 8y = -216
Step 2: Subtract the two new equations.
(5x + 8y)-(40x + 8y) = (-76) - (-216)
-35x = 140
Step3: Solve for x.
x = 140 / (-35) = -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: 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 ... | 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 ... | Step 2: Subtract the two new equations.
(20x + 100y)-(10x + 100y) = 160 - 130
10x = 30
Step3: Solve for x.
x = 30 / 10 = 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 = (-228) / 38 = -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 ... | We are given the system:
7x - 7y = 21
10x - 4y = 6
Step 1: Multiply to align y-coefficients.
(-4)*(7x - 7y) = (-4)*21 β -28x + 28y = -84
(-7)*(10x - 4y) = (-7)*6 β -70x + 28y = -42
Step 2: Subtract the two new equations.
(-28x + 28y)-(-70x + 28y) = (-84) - (-42)
42x = -42
Step3: Solve for x.
x = (-42) / 42 = -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 ... | 6x = 54
Step3: Solve for x.
x = 54 / 6 = 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 ... | 10x = 0
Step3: Solve for x.
x = 0 / 10 = 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 ... | 6*(-6x + 9y) = 6*(-39) β -36x + 54y = -234
Step 2: Subtract the two new equations.
(90x + 54y)-(-36x + 54y) = (-738) - (-234)
126x = -504
Step3: Solve for x.
x = (-504) / 126 = -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 ... | -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 = (-243) / 27 = -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 ... | -30x = 150
Step3: Solve for x.
x = 150 / (-30) = -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 ... | We are given the system:
6x + 9y = 96
-5x + 9y = 19
Step 1: Multiply to align y-coefficients.
9*(6x + 9y) = 9*96 β 54x + 81y = 864
9*(-5x + 9y) = 9*19 β -45x + 81y = 171
Step 2: Subtract the two new equations.
(54x + 81y)-(-45x + 81y) = 864 - 171
99x = 693
Step3: Solve for x.
x = 693 / 99 = 7
The answer: 7! | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(27x - 12y)-(24x - 12y) = (-75) - (-60)
3x = -15
Step3: Solve for x.
x = (-15) / 3 = -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: 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 ... | 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.
(-12x - 3y)-(x - 3y) = 87 - 9
-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 ... | 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 ... | 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.
(-80x + 40y)-(12x + 40y) = 440 - (-112)
-92x = 552
Step3: Solve for x.
x = 552 / (-92) = -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 ... | 7*(5x + 4y) = 7*(-21) β 35x + 28y = -147
Step 2: Subtract the two new equations.
(-12x + 28y)-(35x + 28y) = (-288) - (-147)
-47x = -141
Step3: Solve for x.
x = (-141) / (-47) = 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 ... | We are given the system:
-3y = 15
5x + 2y = 30
Step 1: Multiply to align y-coefficients.
2*(-3y) = 2*15 β -6y = 30
(-3)*(5x + 2y) = (-3)*30 β -15x - 6y = -90
Step 2: Subtract the two new equations.
(-6y)-(-15x - 6y) = 30 - (-90)
15x = 120
Step3: Solve for x.
x = 120 / 15 = 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 ... | Step3: Solve for x.
x = 784 / 98 = 8
The answer: 8! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-24x + 30y)-(100x + 30y) = (-288) - 580
-124x = -868
Step3: Solve for x.
x = (-868) / (-124) = 7
The answer: 7! | 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 + 56y)-(-64x + 56y) = (-280) - 512
99x = -792
Step3: Solve for x.
x = (-792) / 99 = -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 = 4 / (-1) = -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 ... | 61x = 305
Step3: Solve for x.
x = 305 / 61 = 5
The answer: 5! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -7! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 26 / (-13) = -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 ... | The answer: 0! | 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)*(-4x - 2y) = (-6)*(-14) β 24x + 12y = 84
(-2)*(8x - 6y) = (-2)*118 β -16x + 12y = -236
Step 2: Subtract the two new equations.
(24x + 12y)-(-16x + 12y) = 84 - (-236)
40x = 320
Step3: Solve for x.
x = 320 / 40 = 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.
5*(-2x - 4y) = 5*30 β -10x - 20y = 150
(-4)*(-4x + 5y) = (-4)*8 β 16x - 20y = -32
Step 2: Subtract the two new equations.
(-10x - 20y)-(16x - 20y) = 150 - (-32)
-26x = 182
Step3: Solve for x.
x = 182 / (-26) = -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 ... | 35x = 105
Step3: Solve for x.
x = 105 / 35 = 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 ... | Step 2: Subtract the two new equations.
(-14y)-(12x - 14y) = (-98) - 10
-12x = -108
Step3: Solve for x.
x = (-108) / (-12) = 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 ... | 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.
(27x - 27y)-(18x - 27y) = 243 - 171
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 ... | -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: -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 ... | Step3: Solve for x.
x = 16 / 4 = 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 ... | The answer: 9! | 5 |
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