ExplosionNuclear/ExpNew1_train_10.0 · Datasets at Hugging Face

instruction stringlengths 1.94k 2.99k	answer stringlengths 2 352	input_ids sequencelengths 900 900	labels sequencelengths 900 900	attention_mask sequencelengths 900 900
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk. **Here's your specific ...	Step 1: Multiply to align y-coefficients. (-10)(-2x + 2y) = (-10)18 → 20x - 20y = -180 2(8x - 10y) = 2(-88) → 16x - 20y = -176 Step 2: Subtract the two new equations. (20x - 20y)-(16x - 20y) = (-180) - (-176) 4x = -4 Step3: Solve for x. x = (-4) / 4 = -1 The answer: -1!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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(-9x - 8y) = 3(-55) → -27x - 24y = -165 (-8)(8x + 3y) = (-8)16 → -64x - 24y = -128 Step 2: Subtract the two new equations. (-27x - 24y)-(-64x - 24y) = (-165) - (-128) 37x = -37 Step3: Solve for x. x = (-37) / 37 = -1 The answer: -1!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk. **Here's your specific ...	Step 1: Multiply to align y-coefficients. 7(x - 2y) = 71 → 7x - 14y = 7 (-2)(3x + 7y) = (-2)3 → -6x - 14y = -6 Step 2: Subtract the two new equations. (7x - 14y)-(-6x - 14y) = 7 - (-6) 13x = 13 Step3: Solve for x. x = 13 / 13 = 1 The answer: 1!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk. **Here's your specific ...	18x = -36 Step3: Solve for x. x = (-36) / 18 = -2 The answer: -2!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk. **Here's your specific ...	Step 1: Multiply to align y-coefficients. 10(-4x - 7y) = 10(-50) → -40x - 70y = -500 (-7)(-5x + 10y) = (-7)(-25) → 35x - 70y = 175 Step 2: Subtract the two new equations. (-40x - 70y)-(35x - 70y) = (-500) - 175 -75x = -675 Step3: Solve for x. x = (-675) / (-75) = 9 The answer: 9!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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)(7x - 4y) = (-1)(-14) → -7x + 4y = 14 (-4)(6x - y) = (-4)(-12) → -24x + 4y = 48 Step 2: Subtract the two new equations. (-7x + 4y)-(-24x + 4y) = 14 - 48 17x = -34 Step3: Solve for x. x = (-34) / 17 = -2 The answer: -2!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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)(8x - 5y) = (-4)(-37) → -32x + 20y = 148 Step 2: Subtract the two new equations. (-50x + 20y)-(-32x + 20y) = 220 - 148 -18x = 72 Step3: Solve for x. x = 72 / (-18) = -4 The answer: -4!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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 + 7y) = (-2)(-70) → -14x - 14y = 140 7(8x - 2y) = 7(-80) → 56x - 14y = -560 Step 2: Subtract the two new equations. (-14x - 14y)-(56x - 14y) = 140 - (-560) -70x = 700 Step3: Solve for x. x = 700 / (-70) = -10 The answer: -10!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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. (-56x - 49y)-(-35x - 49y) = 105 - 84 -21x = 21 Step3: Solve for x. x = 21 / (-21) = -1 The answer: -1!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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 = (-224) / (-32) = 7 The answer: 7!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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 + 10y = 59 2x - 10y = -44 Step 1: Multiply to align y-coefficients. (-10)(3x + 10y) = (-10)59 → -30x - 100y = -590 10(2x - 10y) = 10(-44) → 20x - 100y = -440 Step 2: Subtract the two new equations. (-30x - 100y)-(20x - 100y) = (-590) - (-440) -50x = -150 Step3: Solve for x. x = (-...	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
Engage Parallel Processing Mode: You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You 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!	[ 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004, 128004...	[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100...	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...

**Engage Parallel Processing Mode:** You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk. **Here's your specific ...

Step 1: Multiply to align y-coefficients. (-10)*(-2x + 2y) = (-10)*18 → 20x - 20y = -180 2*(8x - 10y) = 2*(-88) → 16x - 20y = -176 Step 2: Subtract the two new equations. (20x - 20y)-(16x - 20y) = (-180) - (-176) 4x = -4 Step3: Solve for x. x = (-4) / 4 = -1 The answer: -1!

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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. 3*(-9x - 8y) = 3*(-55) → -27x - 24y = -165 (-8)*(8x + 3y) = (-8)*16 → -64x - 24y = -128 Step 2: Subtract the two new equations. (-27x - 24y)-(-64x - 24y) = (-165) - (-128) 37x = -37 Step3: Solve for x. x = (-37) / 37 = -1 The answer: -1!

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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. 7*(x - 2y) = 7*1 → 7x - 14y = 7 (-2)*(3x + 7y) = (-2)*3 → -6x - 14y = -6 Step 2: Subtract the two new equations. (7x - 14y)-(-6x - 14y) = 7 - (-6) 13x = 13 Step3: Solve for x. x = 13 / 13 = 1 The answer: 1!

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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 ...

18x = -36 Step3: Solve for x. x = (-36) / 18 = -2 The answer: -2!

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**Engage Parallel Processing Mode:** You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem. You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk. **Here's your specific ...

Step 1: Multiply to align y-coefficients. 10*(-4x - 7y) = 10*(-50) → -40x - 70y = -500 (-7)*(-5x + 10y) = (-7)*(-25) → 35x - 70y = 175 Step 2: Subtract the two new equations. (-40x - 70y)-(35x - 70y) = (-500) - 175 -75x = -675 Step3: Solve for x. x = (-675) / (-75) = 9 The answer: 9!

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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. (-1)*(7x - 4y) = (-1)*(-14) → -7x + 4y = 14 (-4)*(6x - y) = (-4)*(-12) → -24x + 4y = 48 Step 2: Subtract the two new equations. (-7x + 4y)-(-24x + 4y) = 14 - 48 17x = -34 Step3: Solve for x. x = (-34) / 17 = -2 The answer: -2!

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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 ...

(-4)*(8x - 5y) = (-4)*(-37) → -32x + 20y = 148 Step 2: Subtract the two new equations. (-50x + 20y)-(-32x + 20y) = 220 - 148 -18x = 72 Step3: Solve for x. x = 72 / (-18) = -4 The answer: -4!

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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. (-2)*(7x + 7y) = (-2)*(-70) → -14x - 14y = 140 7*(8x - 2y) = 7*(-80) → 56x - 14y = -560 Step 2: Subtract the two new equations. (-14x - 14y)-(56x - 14y) = 140 - (-560) -70x = 700 Step3: Solve for x. x = 700 / (-70) = -10 The answer: -10!

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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 ...

-54x = -324 Step3: Solve for x. x = (-324) / (-54) = 6 The answer: 6!

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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 2: Subtract the two new equations. (-56x - 49y)-(-35x - 49y) = 105 - 84 -21x = 21 Step3: Solve for x. x = 21 / (-21) = -1 The answer: -1!

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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 ...

-7!

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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 ...

Step3: Solve for x. x = (-224) / (-32) = 7 The answer: 7!

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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 ...

We are given the system: 3x + 10y = 59 2x - 10y = -44 Step 1: Multiply to align y-coefficients. (-10)*(3x + 10y) = (-10)*59 → -30x - 100y = -590 10*(2x - 10y) = 10*(-44) → 20x - 100y = -440 Step 2: Subtract the two new equations. (-30x - 100y)-(20x - 100y) = (-590) - (-440) -50x = -150 Step3: Solve for x. x = (-...

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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 ...

-0!

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