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 ... | -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 = (-22) / (-11) = 2
The answer: 2! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-72) / (-12) = 6
The answer: 6! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-138) / 46 = -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: 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 ... | (-8)*(10x - 7y) = (-8)*125 → -80x + 56y = -1000
Step 2: Subtract the two new equations.
(-49x + 56y)-(-80x + 56y) = (-721) - (-1000)
31x = 279
Step3: Solve for x.
x = 279 / 31 = 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 ... | 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 ... | 10*(-10x + 5y) = 10*85 → -100x + 50y = 850
Step 2: Subtract the two new equations.
(40x + 50y)-(-100x + 50y) = (-410) - 850
140x = -1260
Step3: Solve for x.
x = (-1260) / 140 = -9
The answer: -9! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-4)*(5x - 7y) = (-4)*76 → -20x + 28y = -304
(-7)*(x - 4y) = (-7)*36 → -7x + 28y = -252
Step 2: Subtract the two new equations.
(-20x + 28y)-(-7x + 28y) = (-304) - (-252)
-13x = -52
Step3: Solve for x.
x = (-52) / (-13) = 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 ... | -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 ... | Step3: Solve for x.
x = 0 / (-50) = -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 1: Multiply to align y-coefficients.
(-8)*(-x + 7y) = (-8)*19 → 8x - 56y = -152
7*(-8x - 8y) = 7*24 → -56x - 56y = 168
Step 2: Subtract the two new equations.
(8x - 56y)-(-56x - 56y) = (-152) - 168
64x = -320
Step3: Solve for x.
x = (-320) / 64 = -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 ... | 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 ... | We are given the system:
-3x + 3y = -57
-x + 9y = -99
Step 1: Multiply to align y-coefficients.
9*(-3x + 3y) = 9*(-57) → -27x + 27y = -513
3*(-x + 9y) = 3*(-99) → -3x + 27y = -297
Step 2: Subtract the two new equations.
(-27x + 27y)-(-3x + 27y) = (-513) - (-297)
-24x = -216
Step3: Solve for x.
x = (-216) / (-24)... | 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 ... | -3x = 15
Step3: Solve for x.
x = 15 / (-3) = -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.
(-8)*(2x + 7y) = (-8)*(-9) → -16x - 56y = 72
7*(-8y) = 7*24 → -56y = 168
Step 2: Subtract the two new equations.
(-16x - 56y)-(-56y) = 72 - 168
-16x = -96
Step3: Solve for x.
x = (-96) / (-16) = 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 ... | The answer: 5! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-9)*(4x - y) = (-9)*1 → -36x + 9y = -9
(-1)*(-2x - 9y) = (-1)*85 → 2x + 9y = -85
Step 2: Subtract the two new equations.
(-36x + 9y)-(2x + 9y) = (-9) - (-85)
-38x = 76
Step3: Solve for x.
x = 76 / (-38) = -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 ... | 5*5y = 5*20 → 25y = 100
Step 2: Subtract the two new equations.
(35x + 25y)-25y = (-40) - 100
35x = -140
Step3: Solve for x.
x = (-140) / 35 = -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 ... | 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 ... | -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.
(-63x - 27y)-(18x - 27y) = 369 - (-36)
-81x = 405
Step3: Solve for x.
x = 405 / (-81) = -5
The answer: -5! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -7! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-9)*(-3x + 4y) = (-9)*(-7) → 27x - 36y = 63
Step 2: Subtract the two new equations.
(-16x - 36y)-(27x - 36y) = 20 - 63
-43x = -43
Step3: Solve for x.
x = (-43) / (-43) = 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 ... | Step 2: Subtract the two new equations.
(60x - 30y)-(35x - 30y) = (-810) - (-560)
25x = -250
Step3: Solve for x.
x = (-250) / 25 = -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 ... | 7! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -2! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-80) / 20 = -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.
(-1)*(-2x + 8y) = (-1)*(-22) → 2x - 8y = 22
8*(6x - y) = 8*(-49) → 48x - 8y = -392
Step 2: Subtract the two new equations.
(2x - 8y)-(48x - 8y) = 22 - (-392)
-46x = 414
Step3: Solve for x.
x = 414 / (-46) = -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! | 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*(-10x - 4y) = 6*40 → -60x - 24y = 240
(-4)*(x + 6y) = (-4)*(-4) → -4x - 24y = 16
Step 2: Subtract the two new equations.
(-60x - 24y)-(-4x - 24y) = 240 - 16
-56x = 224
Step3: Solve for x.
x = 224 / (-56) = -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 ... | 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.
(-4)*(-8x - 3y) = (-4)*55 → 32x + 12y = -220
(-3)*(-10x - 4y) = (-3)*70 → 30x + 12y = -210
Step 2: Subtract the two new equations.
(32x + 12y)-(30x + 12y) = (-220) - (-210)
2x = -10
Step3: Solve for x.
x = (-10) / 2 = -5
The answer: -5! | 80 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-8)*(-10x - 6y) = (-8)*14 → 80x + 48y = -112
Step 2: Subtract the two new equations.
(-48x + 48y)-(80x + 48y) = 144 - (-112)
-128x = 256
Step3: Solve for x.
x = 256 / (-128) = -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 ... | -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 ... | -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 ... | 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 ... | -35x = 0
Step3: Solve for x.
x = 0 / (-35) = -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.
2*(5x + 3y) = 2*43 → 10x + 6y = 86
3*(7x + 2y) = 3*58 → 21x + 6y = 174
Step 2: Subtract the two new equations.
(10x + 6y)-(21x + 6y) = 86 - 174
-11x = -88
Step3: Solve for x.
x = (-88) / (-11) = 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 ... | -66x = 330
Step3: Solve for x.
x = 330 / (-66) = -5
The answer: -5! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-42) / (-7) = 6
The answer: 6! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
9x + y = -73
5x + y = -45
Step 1: Multiply to align y-coefficients.
1*(9x + y) = 1*(-73) → 9x + y = -73
1*(5x + y) = 1*(-45) → 5x + y = -45
Step 2: Subtract the two new equations.
(9x + y)-(5x + y) = (-73) - (-45)
4x = -28
Step3: Solve for x.
x = (-28) / 4 = -7
The answer: -7! | 100 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-2)*(-10x - 6y) = (-2)*(-144) → 20x + 12y = 288
(-6)*(-8x - 2y) = (-6)*(-90) → 48x + 12y = 540
Step 2: Subtract the two new equations.
(20x + 12y)-(48x + 12y) = 288 - 540
-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 ... | 26x = 156
Step3: Solve for x.
x = 156 / 26 = 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 ... | 44x = 352
Step3: Solve for x.
x = 352 / 44 = 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 ... | Step3: Solve for x.
x = (-48) / (-24) = 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 ... | We are given the system:
3x + 5y = -68
-9x - 8y = 134
Step 1: Multiply to align y-coefficients.
(-8)*(3x + 5y) = (-8)*(-68) → -24x - 40y = 544
5*(-9x - 8y) = 5*134 → -45x - 40y = 670
Step 2: Subtract the two new equations.
(-24x - 40y)-(-45x - 40y) = 544 - 670
21x = -126
Step3: Solve for x.
x = (-126) / 21 = -6
... | 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 ... | -78x = -546
Step3: Solve for x.
x = (-546) / (-78) = 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 2: Subtract the two new equations.
(20x - 16y)-(-56x - 16y) = 24 - 176
76x = -152
Step3: Solve for x.
x = (-152) / 76 = -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 ... | 5*(2x - 5y) = 5*(-41) → 10x - 25y = -205
Step 2: Subtract the two new equations.
(15x - 25y)-(10x - 25y) = (-220) - (-205)
5x = -15
Step3: Solve for x.
x = (-15) / 5 = -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 ... | -10! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-240) / 80 = -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 ... | -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 ... | 32x = -320
Step3: Solve for x.
x = (-320) / 32 = -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 ... | -5! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
4*(5x + 5y) = 4*(-50) → 20x + 20y = -200
5*(7x + 4y) = 5*(-61) → 35x + 20y = -305
Step 2: Subtract the two new equations.
(20x + 20y)-(35x + 20y) = (-200) - (-305)
-15x = 105
Step3: Solve for x.
x = 105 / (-15) = -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 ... | 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 ... | -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 ... | -75x = -750
Step3: Solve for x.
x = (-750) / (-75) = 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 ... | 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 ... | (-4)*(-9x - 5y) = (-4)*42 → 36x + 20y = -168
Step 2: Subtract the two new equations.
(-20x + 20y)-(36x + 20y) = 280 - (-168)
-56x = 448
Step3: Solve for x.
x = 448 / (-56) = -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.
(-40x - 40y)-(-32x - 40y) = (-40) - 24
-8x = -64
Step3: Solve for x.
x = (-64) / (-8) = 8
The answer: 8! | 50 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-1)*(5x - 9y) = (-1)*81 → -5x + 9y = -81
(-9)*(-2x - y) = (-9)*(-14) → 18x + 9y = 126
Step 2: Subtract the two new equations.
(-5x + 9y)-(18x + 9y) = (-81) - 126
-23x = -207
Step3: Solve for x.
x = (-207) / (-23) = 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 ... | -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 ... | 26x = 104
Step3: Solve for x.
x = 104 / 26 = 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 ... | -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.
7*(-5x - 2y) = 7*57 → -35x - 14y = 399
(-2)*(3x + 7y) = (-2)*(-69) → -6x - 14y = 138
Step 2: Subtract the two new equations.
(-35x - 14y)-(-6x - 14y) = 399 - 138
-29x = 261
Step3: Solve for x.
x = 261 / (-29) = -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 = 56 / 28 = 2
The answer: 2! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 7! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-1)*(2x + 5y) = (-1)*(-2) → -2x - 5y = 2
5*(-8x - y) = 5*46 → -40x - 5y = 230
Step 2: Subtract the two new equations.
(-2x - 5y)-(-40x - 5y) = 2 - 230
38x = -228
Step3: Solve for x.
x = (-228) / 38 = -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 ... | (-8)*(-4x + 9y) = (-8)*48 → 32x - 72y = -384
Step 2: Subtract the two new equations.
(-45x - 72y)-(32x - 72y) = (-846) - (-384)
-77x = -462
Step3: Solve for x.
x = (-462) / (-77) = 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 ... | (-6)*(10x - 3y) = (-6)*83 → -60x + 18y = -498
Step 2: Subtract the two new equations.
(30x + 18y)-(-60x + 18y) = 222 - (-498)
90x = 720
Step3: Solve for x.
x = 720 / 90 = 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 ... | -90x = 810
Step3: Solve for x.
x = 810 / (-90) = -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 ... | -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 ... | (-4)*(-3x + y) = (-4)*4 → 12x - 4y = -16
Step 2: Subtract the two new equations.
(10x - 4y)-(12x - 4y) = (-18) - (-16)
-2x = -2
Step3: Solve for x.
x = (-2) / (-2) = 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 ... | 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 ... | 8*(-x + 3y) = 8*9 → -8x + 24y = 72
Step 2: Subtract the two new equations.
(-27x + 24y)-(-8x + 24y) = 15 - 72
-19x = -57
Step3: Solve for x.
x = (-57) / (-19) = 3
The answer: 3! | 60 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-8)*(6x - 5y) = (-8)*78 → -48x + 40y = -624
Step 2: Subtract the two new equations.
(-15x + 40y)-(-48x + 40y) = (-360) - (-624)
33x = 264
Step3: Solve for x.
x = 264 / 33 = 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 ... | (-5)*(-4x + 10y) = (-5)*(-74) → 20x - 50y = 370
Step 2: Subtract the two new equations.
(30x - 50y)-(20x - 50y) = 330 - 370
10x = -40
Step3: Solve for x.
x = (-40) / 10 = -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 ... | 44x = 308
Step3: Solve for x.
x = 308 / 44 = 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: -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.
3*(-8y) = 3*8 → -24y = 24
(-8)*(10x + 3y) = (-8)*77 → -80x - 24y = -616
Step 2: Subtract the two new equations.
(-24y)-(-80x - 24y) = 24 - (-616)
80x = 640
Step3: Solve for x.
x = 640 / 80 = 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 ... | -8x = -40
Step3: Solve for x.
x = (-40) / (-8) = 5
The answer: 5! | 40 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-612) / (-102) = 6
The answer: 6! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 10! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-108) / (-12) = 9
The answer: 9! | 20 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-9)*(-6x + 4y) = (-9)*(-32) → 54x - 36y = 288
4*(4x - 9y) = 4*(-4) → 16x - 36y = -16
Step 2: Subtract the two new equations.
(54x - 36y)-(16x - 36y) = 288 - (-16)
38x = 304
Step3: Solve for x.
x = 304 / 38 = 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 ... | 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 ... | 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 ... | 2*(-2x - 3y) = 2*13 → -4x - 6y = 26
Step 2: Subtract the two new equations.
(-27x - 6y)-(-4x - 6y) = 72 - 26
-23x = 46
Step3: Solve for x.
x = 46 / (-23) = -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 ... | 31x = -217
Step3: Solve for x.
x = (-217) / 31 = -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)*(8x - 7y) = (-2)*(-40) → -16x + 14y = 80
(-7)*(3x - 2y) = (-7)*(-15) → -21x + 14y = 105
Step 2: Subtract the two new equations.
(-16x + 14y)-(-21x + 14y) = 80 - 105
5x = -25
Step3: Solve for x.
x = (-25) / 5 = -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! | 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)*(-8x + 5y) = (-2)*23 → 16x - 10y = -46
Step 2: Subtract the two new equations.
(-20x - 10y)-(16x - 10y) = 170 - (-46)
-36x = 216
Step3: Solve for x.
x = 216 / (-36) = -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 ... | 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: -6! | 5 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -8! | 1 |
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-2)*(4x + 7y) = (-2)*(-41) → -8x - 14y = 82
Step 2: Subtract the two new equations.
(-49x - 14y)-(-8x - 14y) = 287 - 82
-41x = 205
Step3: Solve for x.
x = 205 / (-41) = -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 ... | We are given the system:
8x - 10y = 162
8x + 7y = 9
Step 1: Multiply to align y-coefficients.
7*(8x - 10y) = 7*162 → 56x - 70y = 1134
(-10)*(8x + 7y) = (-10)*9 → -80x - 70y = -90
Step 2: Subtract the two new equations.
(56x - 70y)-(-80x - 70y) = 1134 - (-90)
136x = 1224
Step3: Solve for x.
x = 1224 / 136 = 9
Th... | 100 |
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