instruction stringlengths 1.76k 3.02k | answer stringlengths 2 358 | percent int64 1 100 |
|---|---|---|
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(9x - 90y)-(-40x - 90y) = (-126) - (-420)
49x = 294
Step3: Solve for x.
x = 294 / 49 = 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 2: Subtract the two new equations.
(-60x + 60y)-(-36x + 60y) = (-300) - (-324)
-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 ... | (-10)*(5x - y) = (-10)*24 → -50x + 10y = -240
Step 2: Subtract the two new equations.
(-4x + 10y)-(-50x + 10y) = (-102) - (-240)
46x = 138
Step3: Solve for x.
x = 138 / 46 = 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 ... | -63x = 189
Step3: Solve for x.
x = 189 / (-63) = -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 ... | Step3: Solve for x.
x = (-208) / (-52) = 4
The answer: 4! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 6*(4x + 8y) = 6*(-40) → 24x + 48y = -240
Step 2: Subtract the two new equations.
(-72x + 48y)-(24x + 48y) = 336 - (-240)
-96x = 576
Step3: Solve for x.
x = 576 / (-96) = -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.
(81x - 9y)-(x - 9y) = (-585) - 55
80x = -640
Step3: Solve for x.
x = (-640) / 80 = -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 = 73 / 73 = 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 ... | Step3: Solve for x.
x = (-45) / (-45) = 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.
(-63x - 81y)-(54x - 81y) = 1296 - 243
-117x = 1053
Step3: Solve for x.
x = 1053 / (-117) = -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: -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 ... | -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.
10*(-7x - y) = 10*30 → -70x - 10y = 300
(-1)*(-9x + 10y) = (-1)*16 → 9x - 10y = -16
Step 2: Subtract the two new equations.
(-70x - 10y)-(9x - 10y) = 300 - (-16)
-79x = 316
Step3: Solve for x.
x = 316 / (-79) = -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)*(-10x + 7y) = (-2)*107 → 20x - 14y = -214
Step 2: Subtract the two new equations.
(21x - 14y)-(20x - 14y) = (-224) - (-214)
1x = -10
Step3: Solve for x.
x = (-10) / 1 = -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 ... | 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 ... | 69x = -276
Step3: Solve for x.
x = (-276) / 69 = -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 ... | (-1)*(-2x - 3y) = (-1)*18 → 2x + 3y = -18
Step 2: Subtract the two new equations.
(-18x + 3y)-(2x + 3y) = 102 - (-18)
-20x = 120
Step3: Solve for x.
x = 120 / (-20) = -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.
(24x + 32y)-(-24x + 32y) = 288 - (-96)
48x = 384
Step3: Solve for x.
x = 384 / 48 = 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 ... | -3! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-21x - 7y)-(-8x - 7y) = (-35) - 4
-13x = -39
Step3: Solve for x.
x = (-39) / (-13) = 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 1: Multiply to align y-coefficients.
7*(7x - 9y) = 7*(-11) → 49x - 63y = -77
(-9)*(-10x + 7y) = (-9)*45 → 90x - 63y = -405
Step 2: Subtract the two new equations.
(49x - 63y)-(90x - 63y) = (-77) - (-405)
-41x = 328
Step3: Solve for x.
x = 328 / (-41) = -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 ... | -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 = (-96) / (-48) = 2
The answer: 2! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-10)*(10x - 5y) = (-10)*45 → -100x + 50y = -450
(-5)*(7x - 10y) = (-5)*(-1) → -35x + 50y = 5
Step 2: Subtract the two new equations.
(-100x + 50y)-(-35x + 50y) = (-450) - 5
-65x = -455
Step3: Solve for x.
x = (-455) / (-65) = 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 ... | 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 ... | Step 1: Multiply to align y-coefficients.
8*(5x - 10y) = 8*30 → 40x - 80y = 240
(-10)*(7x + 8y) = (-10)*(-112) → -70x - 80y = 1120
Step 2: Subtract the two new equations.
(40x - 80y)-(-70x - 80y) = 240 - 1120
110x = -880
Step3: Solve for x.
x = (-880) / 110 = -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 ... | 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 ... | 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 ... | Step 1: Multiply to align y-coefficients.
(-5)*(x + 8y) = (-5)*(-64) → -5x - 40y = 320
8*(7x - 5y) = 8*(-21) → 56x - 40y = -168
Step 2: Subtract the two new equations.
(-5x - 40y)-(56x - 40y) = 320 - (-168)
-61x = 488
Step3: Solve for x.
x = 488 / (-61) = -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 ... | 46x = -46
Step3: Solve for x.
x = (-46) / 46 = -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 ... | Step3: Solve for x.
x = 16 / (-2) = -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.
12y-(-18x + 12y) = (-24) - 30
18x = -54
Step3: Solve for x.
x = (-54) / 18 = -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 ... | -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 ... | 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 ... | 110x = 1100
Step3: Solve for x.
x = 1100 / 110 = 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.
(-2)*7y = (-2)*70 → -14y = -140
7*(10x - 2y) = 7*40 → 70x - 14y = 280
Step 2: Subtract the two new equations.
(-14y)-(70x - 14y) = (-140) - 280
-70x = -420
Step3: Solve for x.
x = (-420) / (-70) = 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 ... | (-10)*(4x + 6y) = (-10)*68 → -40x - 60y = -680
Step 2: Subtract the two new equations.
(-54x - 60y)-(-40x - 60y) = (-792) - (-680)
-14x = -112
Step3: Solve for x.
x = (-112) / (-14) = 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 2: Subtract the two new equations.
(-7x + 9y)-(-27x + 9y) = 17 - (-63)
20x = 80
Step3: Solve for x.
x = 80 / 20 = 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 ... | 12x = 24
Step3: Solve for x.
x = 24 / 12 = 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 ... | Step 2: Subtract the two new equations.
(24x + 18y)-(6x + 18y) = (-198) - (-144)
18x = -54
Step3: Solve for x.
x = (-54) / 18 = -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.
(60x + 12y)-(-18x + 12y) = (-276) - 36
78x = -312
Step3: Solve for x.
x = (-312) / 78 = -4
The answer: -4! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
2*(-7x + 4y) = 2*(-52) → -14x + 8y = -104
4*2y = 4*(-12) → 8y = -48
Step 2: Subtract the two new equations.
(-14x + 8y)-8y = (-104) - (-48)
-14x = -56
Step3: Solve for x.
x = (-56) / (-14) = 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 ... | 10*(9x + y) = 10*(-55) → 90x + 10y = -550
Step 2: Subtract the two new equations.
(2x + 10y)-(90x + 10y) = 66 - (-550)
-88x = 616
Step3: Solve for x.
x = 616 / (-88) = -7
The answer: -7! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-10)*4y = (-10)*(-20) → -40y = 200
Step 2: Subtract the two new equations.
(16x - 40y)-(-40y) = 152 - 200
16x = -48
Step3: Solve for x.
x = (-48) / 16 = -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:
5y = 5
-3x + 3y = 0
Step 1: Multiply to align y-coefficients.
3*5y = 3*5 → 15y = 15
5*(-3x + 3y) = 5*0 → -15x + 15y = 0
Step 2: Subtract the two new equations.
15y-(-15x + 15y) = 15 - 0
15x = 15
Step3: Solve for x.
x = 15 / 15 = 1
The answer: 1! | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(3x + y)-(7x + y) = (-13) - (-41)
-4x = 28
Step3: Solve for x.
x = 28 / (-4) = -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 ... | 41x = 0
Step3: Solve for x.
x = 0 / 41 = 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 ... | Step 1: Multiply to align y-coefficients.
9*(-5x + 6y) = 9*7 → -45x + 54y = 63
6*(3x + 9y) = 6*(-42) → 18x + 54y = -252
Step 2: Subtract the two new equations.
(-45x + 54y)-(18x + 54y) = 63 - (-252)
-63x = 315
Step3: Solve for x.
x = 315 / (-63) = -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 = (-3) / (-3) = 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 ... | Step3: Solve for x.
x = 20 / (-10) = -2
The answer: -2! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
8*(x + 6y) = 8*27 → 8x + 48y = 216
6*(-8x + 8y) = 6*120 → -48x + 48y = 720
Step 2: Subtract the two new equations.
(8x + 48y)-(-48x + 48y) = 216 - 720
56x = -504
Step3: Solve for x.
x = (-504) / 56 = -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 ... | (-5)*4y = (-5)*24 → -20y = -120
Step 2: Subtract the two new equations.
(-12x - 20y)-(-20y) = (-12) - (-120)
-12x = 108
Step3: Solve for x.
x = 108 / (-12) = -9
The answer: -9! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(21x + 56y)-(32x + 56y) = 707 - 784
-11x = -77
Step3: Solve for x.
x = (-77) / (-11) = 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 ... | Step3: Solve for x.
x = (-100) / (-25) = 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 ... | Step 1: Multiply to align y-coefficients.
(-4)*(-5x - 8y) = (-4)*44 → 20x + 32y = -176
(-8)*(8x - 4y) = (-8)*(-20) → -64x + 32y = 160
Step 2: Subtract the two new equations.
(20x + 32y)-(-64x + 32y) = (-176) - 160
84x = -336
Step3: Solve for x.
x = (-336) / 84 = -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*(-3x + 10y) = 7*94 → -21x + 70y = 658
Step 2: Subtract the two new equations.
(60x + 70y)-(-21x + 70y) = 820 - 658
81x = 162
Step3: Solve for x.
x = 162 / 81 = 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 ... | 8! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -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 ... | 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 ... | -81x = 729
Step3: Solve for x.
x = 729 / (-81) = -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 ... | 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 2: Subtract the two new equations.
(-64x + 64y)-(-16x + 64y) = (-192) - (-144)
-48x = -48
Step3: Solve for x.
x = (-48) / (-48) = 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 ... | 6x = -48
Step3: Solve for x.
x = (-48) / 6 = -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 ... | 3*(-6y) = 3*(-48) → -18y = -144
Step 2: Subtract the two new equations.
(6x - 18y)-(-18y) = (-126) - (-144)
6x = 18
Step3: Solve for x.
x = 18 / 6 = 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 ... | -12x = 84
Step3: Solve for x.
x = 84 / (-12) = -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.
2*(-10x + 2y) = 2*(-92) → -20x + 4y = -184
2*(8x + 2y) = 2*52 → 16x + 4y = 104
Step 2: Subtract the two new equations.
(-20x + 4y)-(16x + 4y) = (-184) - 104
-36x = -288
Step3: Solve for x.
x = (-288) / (-36) = 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 ... | -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 = (-18) / 18 = -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.
(54x - 48y)-(-8x - 48y) = (-102) - (-40)
62x = -62
Step3: Solve for x.
x = (-62) / 62 = -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 ... | 9*(9x + 3y) = 9*(-57) → 81x + 27y = -513
Step 2: Subtract the two new equations.
(21x + 27y)-(81x + 27y) = (-153) - (-513)
-60x = 360
Step3: Solve for x.
x = 360 / (-60) = -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.
(-10)*(x - 2y) = (-10)*3 → -10x + 20y = -30
(-2)*(-9x - 10y) = (-2)*(-55) → 18x + 20y = 110
Step 2: Subtract the two new equations.
(-10x + 20y)-(18x + 20y) = (-30) - 110
-28x = -140
Step3: Solve for x.
x = (-140) / (-28) = 5
The answer: 5! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(16x - 32y)-(12x - 32y) = 240 - 212
4x = 28
Step3: Solve for x.
x = 28 / 4 = 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 ... | Step3: Solve for x.
x = (-549) / 61 = -9
The answer: -9! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 8! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
1*(-2x + 5y) = 1*(-50) → -2x + 5y = -50
5*(-8x + y) = 5*(-86) → -40x + 5y = -430
Step 2: Subtract the two new equations.
(-2x + 5y)-(-40x + 5y) = (-50) - (-430)
38x = 380
Step3: Solve for x.
x = 380 / 38 = 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 ... | Step3: Solve for x.
x = (-140) / (-70) = 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 ... | 7*(10x + 6y) = 7*(-44) → 70x + 42y = -308
Step 2: Subtract the two new equations.
(-24x + 42y)-(70x + 42y) = 444 - (-308)
-94x = 752
Step3: Solve for x.
x = 752 / (-94) = -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 ... | (-3)*2y = (-3)*(-20) → -6y = 60
Step 2: Subtract the two new equations.
(-18x - 6y)-(-6y) = 96 - 60
-18x = 36
Step3: Solve for x.
x = 36 / (-18) = -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 ... | 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.
(42x + 7y)-(6x + 7y) = (-455) - (-95)
36x = -360
Step3: Solve for x.
x = (-360) / 36 = -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 ... | 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 ... | 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 = 180 / (-20) = -9
The answer: -9! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(21x + 9y)-(3x + 9y) = (-195) - (-51)
18x = -144
Step3: Solve for x.
x = (-144) / 18 = -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*(-7x - 5y) = 6*50 → -42x - 30y = 300
Step 2: Subtract the two new equations.
(-30y)-(-42x - 30y) = 90 - 300
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 ... | (-2)*(4x + 5y) = (-2)*53 → -8x - 10y = -106
Step 2: Subtract the two new equations.
(25x - 10y)-(-8x - 10y) = (-40) - (-106)
33x = 66
Step3: Solve for x.
x = 66 / 33 = 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.
(-1)*(-9x - 10y) = (-1)*(-114) → 9x + 10y = 114
(-10)*(6x - y) = (-10)*30 → -60x + 10y = -300
Step 2: Subtract the two new equations.
(9x + 10y)-(-60x + 10y) = 114 - (-300)
69x = 414
Step3: Solve for x.
x = 414 / 69 = 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 ... | Step 1: Multiply to align y-coefficients.
2*(-9x - 5y) = 2*22 → -18x - 10y = 44
(-5)*(x + 2y) = (-5)*(-1) → -5x - 10y = 5
Step 2: Subtract the two new equations.
(-18x - 10y)-(-5x - 10y) = 44 - 5
-13x = 39
Step3: Solve for x.
x = 39 / (-13) = -3
The answer: -3! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -10! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
8y-(7x + 8y) = 48 - 55
-7x = -7
Step3: Solve for x.
x = (-7) / (-7) = 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.
(-6)*(-10x - 2y) = (-6)*(-60) → 60x + 12y = 360
(-2)*(-5x - 6y) = (-2)*(-30) → 10x + 12y = 60
Step 2: Subtract the two new equations.
(60x + 12y)-(10x + 12y) = 360 - 60
50x = 300
Step3: Solve for x.
x = 300 / 50 = 6
The answer: 6! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-9)*(3x + 2y) = (-9)*14 → -27x - 18y = -126
2*(2x - 9y) = 2*(-94) → 4x - 18y = -188
Step 2: Subtract the two new equations.
(-27x - 18y)-(4x - 18y) = (-126) - (-188)
-31x = 62
Step3: Solve for x.
x = 62 / (-31) = -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 1: Multiply to align y-coefficients.
4*(9x - 5y) = 4*(-51) → 36x - 20y = -204
(-5)*(-4x + 4y) = (-5)*12 → 20x - 20y = -60
Step 2: Subtract the two new equations.
(36x - 20y)-(20x - 20y) = (-204) - (-60)
16x = -144
Step3: Solve for x.
x = (-144) / 16 = -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 = 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.
(-80x + 30y)-(24x + 30y) = (-650) - 78
-104x = -728
Step3: Solve for x.
x = (-728) / (-104) = 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 ... | 1*(-7x + 6y) = 1*(-118) → -7x + 6y = -118
Step 2: Subtract the two new equations.
(-60x + 6y)-(-7x + 6y) = (-648) - (-118)
-53x = -530
Step3: Solve for x.
x = (-530) / (-53) = 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 ... | (-9)*(6x - 9y) = (-9)*120 → -54x + 81y = -1080
Step 2: Subtract the two new equations.
(27x + 81y)-(-54x + 81y) = (-675) - (-1080)
81x = 405
Step3: Solve for x.
x = 405 / 81 = 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 ... | 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 / (-6) = -6
The answer: -6! | 20 |
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