instruction stringlengths 1.83k 3k | answer stringlengths 2 346 | 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 ... | We are given the system:
-3x - 7y = -9
-5x + 2y = -15
Step 1: Multiply to align y-coefficients.
2*(-3x - 7y) = 2*(-9) → -6x - 14y = -18
(-7)*(-5x + 2y) = (-7)*(-15) → 35x - 14y = 105
Step 2: Subtract the two new equations.
(-6x - 14y)-(35x - 14y) = (-18) - 105
-41x = -123
Step3: Solve for x.
x = (-123) / (-41) =... | [
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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.
(-48x - 64y)-(32x - 64y) = (-480) - (-320)
-80x = -160
Step3: Solve for x.
x = (-160) / (-80) = 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 2: Subtract the two new equations.
(9x + 3y)-(-3x + 3y) = 18 - 18
12x = 0
Step3: Solve for x.
x = 0 / 12 = 0
The answer: 0! | [
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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*(4x - 10y) = 2*(-26) → 8x - 20y = -52
(-10)*(9x + 2y) = (-10)*64 → -90x - 20y = -640
Step 2: Subtract the two new equations.
(8x - 20y)-(-90x - 20y) = (-52) - (-640)
98x = 588
Step3: Solve for x.
x = 588 / 98 = 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 ... | Step3: Solve for x.
x = 9 / 9 = 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 ... | -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 ... | (-4)*(4x - 2y) = (-4)*(-20) → -16x + 8y = 80
Step 2: Subtract the two new equations.
(16x + 8y)-(-16x + 8y) = (-208) - 80
32x = -288
Step3: Solve for x.
x = (-288) / 32 = -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 ... | -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 ... | Step 1: Multiply to align y-coefficients.
(-9)*(8x + 3y) = (-9)*69 → -72x - 27y = -621
3*(-5x - 9y) = 3*(-93) → -15x - 27y = -279
Step 2: Subtract the two new equations.
(-72x - 27y)-(-15x - 27y) = (-621) - (-279)
-57x = -342
Step3: Solve for x.
x = (-342) / (-57) = 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 ... | 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 ... | -46x = 0
Step3: Solve for x.
x = 0 / (-46) = -0
The answer: -0! | [
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**Engage Parallel Processing Mode:**
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You 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.
(-18x + 30y)-(10x + 30y) = (-324) - (-100)
-28x = -224
Step3: Solve for x.
x = (-224) / (-28) = 8
The answer: 8! | [
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You 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! | [
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