instruction stringlengths 1.79k 3.02k | 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.
(-8)*(x - 9y) = (-8)*(-52) → -8x + 72y = 416
(-9)*(-9x - 8y) = (-9)*23 → 81x + 72y = -207
Step 2: Subtract the two new equations.
(-8x + 72y)-(81x + 72y) = 416 - (-207)
-89x = 623
Step3: Solve for x.
x = 623 / (-89) = -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 ... | -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 = (-405) / 45 = -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*19 → 2x - 18y = 38
Step 2: Subtract the two new equations.
(-36x - 18y)-(2x - 18y) = 0 - 38
-38x = -38
Step3: Solve for x.
x = (-38) / (-38) = 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 ... | Step 1: Multiply to align y-coefficients.
8*(6x - 3y) = 8*0 → 48x - 24y = 0
(-3)*8y = (-3)*(-80) → -24y = 240
Step 2: Subtract the two new equations.
(48x - 24y)-(-24y) = 0 - 240
48x = -240
Step3: Solve for x.
x = (-240) / 48 = -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 ... | (-1)*(-6x + 10y) = (-1)*(-12) → 6x - 10y = 12
Step 2: Subtract the two new equations.
(30x - 10y)-(6x - 10y) = (-180) - 12
24x = -192
Step3: Solve for x.
x = (-192) / 24 = -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.
(-6)*(8x - 2y) = (-6)*(-62) → -48x + 12y = 372
(-2)*(-9x - 6y) = (-2)*45 → 18x + 12y = -90
Step 2: Subtract the two new equations.
(-48x + 12y)-(18x + 12y) = 372 - (-90)
-66x = 462
Step3: Solve for x.
x = 462 / (-66) = -7
The answer: -7! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
6*(-6x + 4y) = 6*28 → -36x + 24y = 168
4*(x + 6y) = 4*(-38) → 4x + 24y = -152
Step 2: Subtract the two new equations.
(-36x + 24y)-(4x + 24y) = 168 - (-152)
-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 ... | 67x = 402
Step3: Solve for x.
x = 402 / 67 = 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 ... | -88x = 528
Step3: Solve for x.
x = 528 / (-88) = -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*(-2x - 6y) = 8*(-36) → -16x - 48y = -288
Step 2: Subtract the two new equations.
(-60x - 48y)-(-16x - 48y) = (-684) - (-288)
-44x = -396
Step3: Solve for x.
x = (-396) / (-44) = 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 ... | Step3: Solve for x.
x = (-416) / 52 = -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 ... | 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 2: Subtract the two new equations.
(8x + 28y)-(28x + 28y) = 112 - 252
-20x = -140
Step3: Solve for x.
x = (-140) / (-20) = 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.
(-63x + 56y)-(-32x + 56y) = (-161) - 56
-31x = -217
Step3: Solve for x.
x = (-217) / (-31) = 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 ... | The answer: 3! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
3*(6x - 2y) = 3*72 → 18x - 6y = 216
(-2)*(2x + 3y) = (-2)*2 → -4x - 6y = -4
Step 2: Subtract the two new equations.
(18x - 6y)-(-4x - 6y) = 216 - (-4)
22x = 220
Step3: Solve for x.
x = 220 / 22 = 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.
(-9)*(2x - 7y) = (-9)*(-57) → -18x + 63y = 513
(-7)*(7x - 9y) = (-7)*(-91) → -49x + 63y = 637
Step 2: Subtract the two new equations.
(-18x + 63y)-(-49x + 63y) = 513 - 637
31x = -124
Step3: Solve for x.
x = (-124) / 31 = -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 ... | Step3: Solve for x.
x = 1110 / 111 = 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 1: Multiply to align y-coefficients.
4*(9x + 8y) = 4*(-47) → 36x + 32y = -188
8*4y = 8*8 → 32y = 64
Step 2: Subtract the two new equations.
(36x + 32y)-32y = (-188) - 64
36x = -252
Step3: Solve for x.
x = (-252) / 36 = -7
The answer: -7! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-40x - 45y)-(-27x - 45y) = 280 - 306
-13x = -26
Step3: Solve for x.
x = (-26) / (-13) = 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: 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 ... | 4*9y = 4*(-27) → 36y = -108
Step 2: Subtract the two new equations.
(36x + 36y)-36y = (-288) - (-108)
36x = -180
Step3: Solve for x.
x = (-180) / 36 = -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 ... | -60x = -600
Step3: Solve for x.
x = (-600) / (-60) = 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 2: Subtract the two new equations.
(-48x + 48y)-(6x + 48y) = (-48) - 168
-54x = -216
Step3: Solve for x.
x = (-216) / (-54) = 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 ... | (-6)*(8x - 3y) = (-6)*10 → -48x + 18y = -60
Step 2: Subtract the two new equations.
(-12x + 18y)-(-48x + 18y) = (-96) - (-60)
36x = -36
Step3: Solve for x.
x = (-36) / 36 = -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 ... | -56x = 168
Step3: Solve for x.
x = 168 / (-56) = -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 ... | (-5)*(-7x + y) = (-5)*(-28) → 35x - 5y = 140
Step 2: Subtract the two new equations.
(-7x - 5y)-(35x - 5y) = (-70) - 140
-42x = -210
Step3: Solve for x.
x = (-210) / (-42) = 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.
(-28x + 21y)-(3x + 21y) = (-175) - (-144)
-31x = -31
Step3: Solve for x.
x = (-31) / (-31) = 1
The answer: 1! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
1*(-8x + 4y) = 1*48 → -8x + 4y = 48
4*(-6x + y) = 4*16 → -24x + 4y = 64
Step 2: Subtract the two new equations.
(-8x + 4y)-(-24x + 4y) = 48 - 64
16x = -16
Step3: Solve for x.
x = (-16) / 16 = -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 ... | -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 ... | -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 = (-36) / 36 = -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.
(-6x - 10y)-(70x - 10y) = 130 - (-630)
-76x = 760
Step3: Solve for x.
x = 760 / (-76) = -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 ... | (-5)*(-8x + 7y) = (-5)*(-11) → 40x - 35y = 55
Step 2: Subtract the two new equations.
(-56x - 35y)-(40x - 35y) = 343 - 55
-96x = 288
Step3: Solve for x.
x = 288 / (-96) = -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 ... | 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 ... | -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:
-10x + 9y = 23
-3x + 8y = -9
Step 1: Multiply to align y-coefficients.
8*(-10x + 9y) = 8*23 → -80x + 72y = 184
9*(-3x + 8y) = 9*(-9) → -27x + 72y = -81
Step 2: Subtract the two new equations.
(-80x + 72y)-(-27x + 72y) = 184 - (-81)
-53x = 265
Step3: Solve for x.
x = 265 / (-53) = -5
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 ... | Step 2: Subtract the two new equations.
(-35x + 35y)-(40x + 35y) = 35 - (-490)
-75x = 525
Step3: Solve for x.
x = 525 / (-75) = -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.
5*(7x + y) = 5*55 → 35x + 5y = 275
1*(7x + 5y) = 1*23 → 7x + 5y = 23
Step 2: Subtract the two new equations.
(35x + 5y)-(7x + 5y) = 275 - 23
28x = 252
Step3: Solve for x.
x = 252 / 28 = 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 ... | 8*(-3x + 5y) = 8*48 → -24x + 40y = 384
Step 2: Subtract the two new equations.
(-20x + 40y)-(-24x + 40y) = 360 - 384
4x = -24
Step3: Solve for x.
x = (-24) / 4 = -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 ... | 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 = 0 / (-42) = -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 ... | We are given the system:
-3x + 7y = -19
9x - 9y = 9
Step 1: Multiply to align y-coefficients.
(-9)*(-3x + 7y) = (-9)*(-19) → 27x - 63y = 171
7*(9x - 9y) = 7*9 → 63x - 63y = 63
Step 2: Subtract the two new equations.
(27x - 63y)-(63x - 63y) = 171 - 63
-36x = 108
Step3: Solve for x.
x = 108 / (-36) = -3
The answe... | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 9! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -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.
(54x + 63y)-(42x + 63y) = 0 - 0
12x = 0
Step3: Solve for x.
x = 0 / 12 = 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 ... | 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 2: Subtract the two new equations.
(-14x - 18y)-(72x - 18y) = (-196) - 234
-86x = -430
Step3: Solve for x.
x = (-430) / (-86) = 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.
(28x - 32y)-(72x - 32y) = 192 - 192
-44x = 0
Step3: Solve for x.
x = 0 / (-44) = -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 1: Multiply to align y-coefficients.
(-7)*(-4x + 3y) = (-7)*(-22) → 28x - 21y = 154
3*(9x - 7y) = 3*50 → 27x - 21y = 150
Step 2: Subtract the two new equations.
(28x - 21y)-(27x - 21y) = 154 - 150
1x = 4
Step3: Solve for x.
x = 4 / 1 = 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 ... | -4x = -8
Step3: Solve for x.
x = (-8) / (-4) = 2
The answer: 2! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 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 ... | Step 1: Multiply to align y-coefficients.
6*(10x + 6y) = 6*(-94) → 60x + 36y = -564
6*(2x + 6y) = 6*(-62) → 12x + 36y = -372
Step 2: Subtract the two new equations.
(60x + 36y)-(12x + 36y) = (-564) - (-372)
48x = -192
Step3: Solve for x.
x = (-192) / 48 = -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 ... | -5x = 10
Step3: Solve for x.
x = 10 / (-5) = -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 ... | 20x = -100
Step3: Solve for x.
x = (-100) / 20 = -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.
3*(10x - 7y) = 3*(-16) → 30x - 21y = -48
(-7)*(-4x + 3y) = (-7)*8 → 28x - 21y = -56
Step 2: Subtract the two new equations.
(30x - 21y)-(28x - 21y) = (-48) - (-56)
2x = 8
Step3: Solve for x.
x = 8 / 2 = 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 ... | 40x = 280
Step3: Solve for x.
x = 280 / 40 = 7
The answer: 7! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-9)*(-5x - y) = (-9)*(-31) → 45x + 9y = 279
Step 2: Subtract the two new equations.
9y-(45x + 9y) = 54 - 279
-45x = -225
Step3: Solve for x.
x = (-225) / (-45) = 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 ... | 8! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
8*(-6x + 9y) = 8*60 → -48x + 72y = 480
9*(7x + 8y) = 9*78 → 63x + 72y = 702
Step 2: Subtract the two new equations.
(-48x + 72y)-(63x + 72y) = 480 - 702
-111x = -222
Step3: Solve for x.
x = (-222) / (-111) = 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 ... | 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 = (-138) / 23 = -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! | 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 = 128 / (-16) = -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 1: Multiply to align y-coefficients.
8*(-7x + 5y) = 8*85 → -56x + 40y = 680
5*(4x + 8y) = 5*(-16) → 20x + 40y = -80
Step 2: Subtract the two new equations.
(-56x + 40y)-(20x + 40y) = 680 - (-80)
-76x = 760
Step3: Solve for x.
x = 760 / (-76) = -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 ... | We are given the system:
x + 7y = -3
-2x + y = 21
Step 1: Multiply to align y-coefficients.
1*(x + 7y) = 1*(-3) → x + 7y = -3
7*(-2x + y) = 7*21 → -14x + 7y = 147
Step 2: Subtract the two new equations.
(x + 7y)-(-14x + 7y) = (-3) - 147
15x = -150
Step3: Solve for x.
x = (-150) / 15 = -10
The answer: -10! | 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 ... | 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 ... | 9*(-7y) = 9*0 → -63y = 0
Step 2: Subtract the two new equations.
(49x - 63y)-(-63y) = (-441) - 0
49x = -441
Step3: Solve for x.
x = (-441) / 49 = -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 ... | 2*(x - 5y) = 2*3 → 2x - 10y = 6
Step 2: Subtract the two new equations.
(-25x - 10y)-(2x - 10y) = (-75) - 6
-27x = -81
Step3: Solve for x.
x = (-81) / (-27) = 3
The answer: 3! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 5! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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 ... | 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.
1*(-10x - 4y) = 1*(-44) → -10x - 4y = -44
(-4)*(-3x + y) = (-4)*(-22) → 12x - 4y = 88
Step 2: Subtract the two new equations.
(-10x - 4y)-(12x - 4y) = (-44) - 88
-22x = -132
Step3: Solve for x.
x = (-132) / (-22) = 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 ... | 6*(x - 5y) = 6*27 → 6x - 30y = 162
Step 2: Subtract the two new equations.
(5x - 30y)-(6x - 30y) = 170 - 162
-1x = 8
Step3: Solve for x.
x = 8 / (-1) = -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 ... | -8! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-30x - 30y)-(-54x - 30y) = (-180) - (-156)
24x = -24
Step3: Solve for x.
x = (-24) / 24 = -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: -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 ... | -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.
(-6x + 2y)-(12x + 2y) = 56 - (-52)
-18x = 108
Step3: Solve for x.
x = 108 / (-18) = -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 ... | Step 1: Multiply to align y-coefficients.
(-4)*(-10x + 4y) = (-4)*12 → 40x - 16y = -48
4*(-9x - 4y) = 4*(-50) → -36x - 16y = -200
Step 2: Subtract the two new equations.
(40x - 16y)-(-36x - 16y) = (-48) - (-200)
76x = 152
Step3: Solve for x.
x = 152 / 76 = 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 ... | 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 ... | We are given the system:
-3x - 2y = 19
-8x - 4y = 48
Step 1: Multiply to align y-coefficients.
(-4)*(-3x - 2y) = (-4)*19 → 12x + 8y = -76
(-2)*(-8x - 4y) = (-2)*48 → 16x + 8y = -96
Step 2: Subtract the two new equations.
(12x + 8y)-(16x + 8y) = (-76) - (-96)
-4x = 20
Step3: Solve for x.
x = 20 / (-4) = -5
The a... | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 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! | 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 ... | -57x = -171
Step3: Solve for x.
x = (-171) / (-57) = 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 ... | 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 ... | 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 ... | 2x = -12
Step3: Solve for x.
x = (-12) / 2 = -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 ... | 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.
(-4)*(-7x + 4y) = (-4)*33 → 28x - 16y = -132
4*(-x - 4y) = 4*(-41) → -4x - 16y = -164
Step 2: Subtract the two new equations.
(28x - 16y)-(-4x - 16y) = (-132) - (-164)
32x = 32
Step3: Solve for x.
x = 32 / 32 = 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 ... | Step3: Solve for x.
x = 260 / 26 = 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 ... | 83x = 332
Step3: Solve for x.
x = 332 / 83 = 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 ... | -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 ... | Step 2: Subtract the two new equations.
(-35x - 7y)-(-x - 7y) = 70 - (-66)
-34x = 136
Step3: Solve for x.
x = 136 / (-34) = -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 ... | 3x = -12
Step3: Solve for x.
x = (-12) / 3 = -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 ... | -54x = -324
Step3: Solve for x.
x = (-324) / (-54) = 6
The answer: 6! | 40 |
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