instruction stringlengths 1.65k 3.07k | 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 ... | 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 ... | (-4)*(-5x - 5y) = (-4)*70 → 20x + 20y = -280
Step 2: Subtract the two new equations.
(10x + 20y)-(20x + 20y) = (-190) - (-280)
-10x = 90
Step3: Solve for x.
x = 90 / (-10) = -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 ... | -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 ... | (-2)*7y = (-2)*63 → -14y = -126
Step 2: Subtract the two new equations.
(-21x - 14y)-(-14y) = (-42) - (-126)
-21x = 84
Step3: Solve for x.
x = 84 / (-21) = -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.
(-10)*(-2x - 9y) = (-10)*(-39) → 20x + 90y = 390
(-9)*(-5x - 10y) = (-9)*(-35) → 45x + 90y = 315
Step 2: Subtract the two new equations.
(20x + 90y)-(45x + 90y) = 390 - 315
-25x = 75
Step3: Solve for x.
x = 75 / (-25) = -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 ... | 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 ... | 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 ... | -5x = -35
Step3: Solve for x.
x = (-35) / (-5) = 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: -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 ... | 98x = 980
Step3: Solve for x.
x = 980 / 98 = 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.
5*(-5x + 4y) = 5*(-16) → -25x + 20y = -80
4*(9x + 5y) = 4*(-81) → 36x + 20y = -324
Step 2: Subtract the two new equations.
(-25x + 20y)-(36x + 20y) = (-80) - (-324)
-61x = 244
Step3: Solve for x.
x = 244 / (-61) = -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 ... | 7*(-4x + 6y) = 7*4 → -28x + 42y = 28
Step 2: Subtract the two new equations.
42y-(-28x + 42y) = 168 - 28
28x = 140
Step3: Solve for x.
x = 140 / 28 = 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 ... | Step 2: Subtract the two new equations.
(6x - 14y)-(35x - 14y) = 90 - 119
-29x = -29
Step3: Solve for x.
x = (-29) / (-29) = 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 ... | 25x = -200
Step3: Solve for x.
x = (-200) / 25 = -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.
(-40x - 8y)-(-2x - 8y) = 104 - 28
-38x = 76
Step3: Solve for x.
x = 76 / (-38) = -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.
(-4)*(-9x + 3y) = (-4)*30 → 36x - 12y = -120
3*(-7x - 4y) = 3*17 → -21x - 12y = 51
Step 2: Subtract the two new equations.
(36x - 12y)-(-21x - 12y) = (-120) - 51
57x = -171
Step3: Solve for x.
x = (-171) / 57 = -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 ... | (-6)*(7x - 10y) = (-6)*46 → -42x + 60y = -276
Step 2: Subtract the two new equations.
(-100x + 60y)-(-42x + 60y) = (-740) - (-276)
-58x = -464
Step3: Solve for x.
x = (-464) / (-58) = 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 ... | -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.
(-6)*(-5x - 7y) = (-6)*3 → 30x + 42y = -18
(-7)*(10x - 6y) = (-7)*(-126) → -70x + 42y = 882
Step 2: Subtract the two new equations.
(30x + 42y)-(-70x + 42y) = (-18) - 882
100x = -900
Step3: Solve for x.
x = (-900) / 100 = -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 = (-186) / 31 = -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 ... | 5*(5x + 4y) = 5*8 → 25x + 20y = 40
Step 2: Subtract the two new equations.
(8x + 20y)-(25x + 20y) = 40 - 40
-17x = 0
Step3: Solve for x.
x = 0 / (-17) = -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 ... | 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 = (-3) / (-1) = 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 ... | 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 = (-128) / 64 = -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 ... | 6*(-3x + 7y) = 6*10 → -18x + 42y = 60
Step 2: Subtract the two new equations.
(56x + 42y)-(-18x + 42y) = (-532) - 60
74x = -592
Step3: Solve for x.
x = (-592) / 74 = -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 ... | -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: 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 ... | -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 ... | Step 1: Multiply to align y-coefficients.
(-4)*(-5y) = (-4)*20 → 20y = -80
(-5)*(5x - 4y) = (-5)*1 → -25x + 20y = -5
Step 2: Subtract the two new equations.
20y-(-25x + 20y) = (-80) - (-5)
25x = -75
Step3: Solve for x.
x = (-75) / 25 = -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 2: Subtract the two new equations.
(-5x - 40y)-(24x - 40y) = (-160) - 72
-29x = -232
Step3: Solve for x.
x = (-232) / (-29) = 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 ... | -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 = (-490) / (-70) = 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 ... | 92x = -460
Step3: Solve for x.
x = (-460) / 92 = -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 ... | -5x = 45
Step3: Solve for x.
x = 45 / (-5) = -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 ... | We are given the system:
3x + y = 27
-10x + 6y = -90
Step 1: Multiply to align y-coefficients.
6*(3x + y) = 6*27 → 18x + 6y = 162
1*(-10x + 6y) = 1*(-90) → -10x + 6y = -90
Step 2: Subtract the two new equations.
(18x + 6y)-(-10x + 6y) = 162 - (-90)
28x = 252
Step3: Solve for x.
x = 252 / 28 = 9
The answer: 9! | 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 ... | (-2)*(3x + 10y) = (-2)*(-74) → -6x - 20y = 148
Step 2: Subtract the two new equations.
(-80x - 20y)-(-6x - 20y) = 0 - 148
-74x = -148
Step3: Solve for x.
x = (-148) / (-74) = 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.
(-10)*(-4x - 2y) = (-10)*10 → 40x + 20y = -100
(-2)*(4x - 10y) = (-2)*50 → -8x + 20y = -100
Step 2: Subtract the two new equations.
(40x + 20y)-(-8x + 20y) = (-100) - (-100)
48x = 0
Step3: Solve for x.
x = 0 / 48 = 0
The answer: 0! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-10)*(-5x + 4y) = (-10)*48 → 50x - 40y = -480
Step 2: Subtract the two new equations.
(-32x - 40y)-(50x - 40y) = (-152) - (-480)
-82x = 328
Step3: Solve for x.
x = 328 / (-82) = -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 ... | We are given the system:
x + 5y = -45
-6x + 4y = -36
Step 1: Multiply to align y-coefficients.
4*(x + 5y) = 4*(-45) → 4x + 20y = -180
5*(-6x + 4y) = 5*(-36) → -30x + 20y = -180
Step 2: Subtract the two new equations.
(4x + 20y)-(-30x + 20y) = (-180) - (-180)
34x = 0
Step3: Solve for x.
x = 0 / 34 = 0
The answer... | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 190 / 19 = 10
The answer: 10! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 8! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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 1: Multiply to align y-coefficients.
(-4)*(4x - 3y) = (-4)*55 → -16x + 12y = -220
(-3)*(-8x - 4y) = (-3)*(-60) → 24x + 12y = 180
Step 2: Subtract the two new equations.
(-16x + 12y)-(24x + 12y) = (-220) - 180
-40x = -400
Step3: Solve for x.
x = (-400) / (-40) = 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*(-7x + 5y) = 10*(-31) → -70x + 50y = -310
5*(-x + 10y) = 5*(-88) → -5x + 50y = -440
Step 2: Subtract the two new equations.
(-70x + 50y)-(-5x + 50y) = (-310) - (-440)
-65x = 130
Step3: Solve for x.
x = 130 / (-65) = -2
The answer: -2! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-28x - 42y)-(12x - 42y) = (-630) - (-270)
-40x = -360
Step3: Solve for x.
x = (-360) / (-40) = 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 2: Subtract the two new equations.
(-3x + 9y)-(27x + 9y) = 42 - 72
-30x = -30
Step3: Solve for x.
x = (-30) / (-30) = 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: 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 ... | -2! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 280 / 70 = 4
The answer: 4! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
10x + 6y = -10
-10x + 4y = 10
Step 1: Multiply to align y-coefficients.
4*(10x + 6y) = 4*(-10) → 40x + 24y = -40
6*(-10x + 4y) = 6*10 → -60x + 24y = 60
Step 2: Subtract the two new equations.
(40x + 24y)-(-60x + 24y) = (-40) - 60
100x = -100
Step3: Solve for x.
x = (-100) / 100 = -1
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 ... | 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 ... | 4*(-6x - 5y) = 4*51 → -24x - 20y = 204
Step 2: Subtract the two new equations.
(20x - 20y)-(-24x - 20y) = 160 - 204
44x = -44
Step3: Solve for x.
x = (-44) / 44 = -1
The answer: -1! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 9*(-9x - 3y) = 9*39 → -81x - 27y = 351
Step 2: Subtract the two new equations.
(27x - 27y)-(-81x - 27y) = (-189) - 351
108x = -540
Step3: Solve for x.
x = (-540) / 108 = -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 ... | Step 1: Multiply to align y-coefficients.
(-10)*(-7x - 6y) = (-10)*(-123) → 70x + 60y = 1230
(-6)*(-x - 10y) = (-6)*(-109) → 6x + 60y = 654
Step 2: Subtract the two new equations.
(70x + 60y)-(6x + 60y) = 1230 - 654
64x = 576
Step3: Solve for x.
x = 576 / 64 = 9
The answer: 9! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-24x - 27y)-(-81x - 27y) = 318 - 432
57x = -114
Step3: Solve for x.
x = (-114) / 57 = -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.
4*(-x - 6y) = 4*19 → -4x - 24y = 76
(-6)*(7x + 4y) = (-6)*(-19) → -42x - 24y = 114
Step 2: Subtract the two new equations.
(-4x - 24y)-(-42x - 24y) = 76 - 114
38x = -38
Step3: Solve for x.
x = (-38) / 38 = -1
The answer: -1! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-7)*(-4x + y) = (-7)*(-19) → 28x - 7y = 133
Step 2: Subtract the two new equations.
(9x - 7y)-(28x - 7y) = 19 - 133
-19x = -114
Step3: Solve for x.
x = (-114) / (-19) = 6
The answer: 6! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
1*(-10x - 9y) = 1*(-73) → -10x - 9y = -73
(-9)*(4x + y) = (-9)*11 → -36x - 9y = -99
Step 2: Subtract the two new equations.
(-10x - 9y)-(-36x - 9y) = (-73) - (-99)
26x = 26
Step3: Solve for x.
x = 26 / 26 = 1
The answer: 1! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 8! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -1! | 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 = 342 / (-57) = -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: 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 = (-459) / (-51) = 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 ... | Step3: Solve for x.
x = 55 / (-11) = -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 ... | 8*(4x + y) = 8*16 → 32x + 8y = 128
Step 2: Subtract the two new equations.
(7x + 8y)-(32x + 8y) = 3 - 128
-25x = -125
Step3: Solve for x.
x = (-125) / (-25) = 5
The answer: 5! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -4! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 161 / (-23) = -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: 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.
(-1)*(9x - 6y) = (-1)*(-93) → -9x + 6y = 93
(-6)*(-4x - y) = (-6)*23 → 24x + 6y = -138
Step 2: Subtract the two new equations.
(-9x + 6y)-(24x + 6y) = 93 - (-138)
-33x = 231
Step3: Solve for x.
x = 231 / (-33) = -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 ... | -12x = 12
Step3: Solve for x.
x = 12 / (-12) = -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 ... | -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 ... | Step3: Solve for x.
x = 0 / (-28) = -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 ... | Step 2: Subtract the two new equations.
(90x - 40y)-(20x - 40y) = (-750) - (-260)
70x = -490
Step3: Solve for x.
x = (-490) / 70 = -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 1: Multiply to align y-coefficients.
7*(x + 8y) = 7*(-61) → 7x + 56y = -427
8*(-5x + 7y) = 8*(-71) → -40x + 56y = -568
Step 2: Subtract the two new equations.
(7x + 56y)-(-40x + 56y) = (-427) - (-568)
47x = 141
Step3: Solve for x.
x = 141 / 47 = 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 ... | -25x = 225
Step3: Solve for x.
x = 225 / (-25) = -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 ... | -68x = -68
Step3: Solve for x.
x = (-68) / (-68) = 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 ... | 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.
(-18y)-(-6x - 18y) = (-108) - (-90)
6x = -18
Step3: Solve for x.
x = (-18) / 6 = -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 ... | 72x = -504
Step3: Solve for x.
x = (-504) / 72 = -7
The answer: -7! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
7*(-7x - 4y) = 7*(-11) → -49x - 28y = -77
(-4)*(2x + 7y) = (-4)*9 → -8x - 28y = -36
Step 2: Subtract the two new equations.
(-49x - 28y)-(-8x - 28y) = (-77) - (-36)
-41x = -41
Step3: Solve for x.
x = (-41) / (-41) = 1
The answer: 1! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(27x + 90y)-(-30x + 90y) = 648 - 420
57x = 228
Step3: Solve for x.
x = 228 / 57 = 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 ... | -18x = 108
Step3: Solve for x.
x = 108 / (-18) = -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 ... | -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 ... | -18x = -54
Step3: Solve for x.
x = (-54) / (-18) = 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 1: Multiply to align y-coefficients.
6*(9x - 9y) = 6*(-135) → 54x - 54y = -810
(-9)*(6x + 6y) = (-9)*(-6) → -54x - 54y = 54
Step 2: Subtract the two new equations.
(54x - 54y)-(-54x - 54y) = (-810) - 54
108x = -864
Step3: Solve for x.
x = (-864) / 108 = -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*(8x + 6y) = 9*(-50) → 72x + 54y = -450
6*(3x + 9y) = 6*(-12) → 18x + 54y = -72
Step 2: Subtract the two new equations.
(72x + 54y)-(18x + 54y) = (-450) - (-72)
54x = -378
Step3: Solve for x.
x = (-378) / 54 = -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 ... | (-5)*(6x + 2y) = (-5)*54 → -30x - 10y = -270
Step 2: Subtract the two new equations.
(-8x - 10y)-(-30x - 10y) = (-138) - (-270)
22x = 132
Step3: Solve for x.
x = 132 / 22 = 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 ... | Step3: Solve for x.
x = (-8) / (-1) = 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.
(-50x - 15y)-(18x - 15y) = (-285) - (-81)
-68x = -204
Step3: Solve for x.
x = (-204) / (-68) = 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.
(-8x - y)-(-10x - y) = 18 - 22
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 ... | -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 = 680 / (-68) = -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 ... | 20x = -180
Step3: Solve for x.
x = (-180) / 20 = -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 ... | We are given the system:
4x + 3y = -17
10x - 7y = -115
Step 1: Multiply to align y-coefficients.
(-7)*(4x + 3y) = (-7)*(-17) → -28x - 21y = 119
3*(10x - 7y) = 3*(-115) → 30x - 21y = -345
Step 2: Subtract the two new equations.
(-28x - 21y)-(30x - 21y) = 119 - (-345)
-58x = 464
Step3: Solve for x.
x = 464 / (-58)... | 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 ... | 5*(-5x + 6y) = 5*17 → -25x + 30y = 85
Step 2: Subtract the two new equations.
30y-(-25x + 30y) = 60 - 85
25x = -25
Step3: Solve for x.
x = (-25) / 25 = -1
The answer: -1! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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 ... | 7! | 1 |
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