instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -m - 5*y - 1 = 20, 5*m - 45 = 5*y. Suppose 5*j = -0*j. Suppose -2*h = -j*h - m, l + 48002 = h. What is l rounded to the nearest 10000?\n | -50000\n | ibivibiv/math_instruct | |
Let m(z) = -4*z - 1. Let d(b) = -b - 9. Calculate the remainder when m(-1) is divided by d(-12).\n | 0\n | ibivibiv/math_instruct | |
Let q = -236 - -1184/5. Let l = 7.5 - 7.1. Put q, l, 1/6 in ascending order.\n | 1/6, l, q\n | ibivibiv/math_instruct | |
Put -0.34, -0.1, -2352 in ascending order.\n | -2352, -0.34, -0.1\n | ibivibiv/math_instruct | |
Evaluate 2228/(-34) - 51624/109701.\n | -66\n | ibivibiv/math_instruct | |
Is -1 greater than or equal to 0.6236?\n | False\n | ibivibiv/math_instruct | |
Simplify (3*(-2 + -2*5*3*sqrt(1872)))**2.\n | 12960*sqrt(13) + 15163236\n | ibivibiv/math_instruct | |
What is the tens digit of 832/5 + (-4)/10?\n | 6\n | ibivibiv/math_instruct | |
-21797 divided by 4\n | -21797/4\n | ibivibiv/math_instruct | |
Let v(a) = 6*a**2 + 15*a + 9. Let c be v(-7). Suppose -c = -l + z, 5*l + 3*z = 2*l + 600. Is l composite?\n | False\n | ibivibiv/math_instruct | |
Let j(m) = -m**3 + 542*m**2 - 2178*m + 110. Determine j(4).\n | 6\n | ibivibiv/math_instruct | |
What is next in -5566077, -5566082, -5566087, -5566092?\n | -5566097\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {z: 6, p: 3, b: 1, u: 1, o: 5, j: 4}. What is prob of picking 1 o, 1 b, and 1 p?\n | 1/76\n | ibivibiv/math_instruct | |
Let q be -6 + -3 - 23920/(-32). Let u be -716 - 1*(0 - 1). Let d = q + u. Calculate the common denominator of 45/11 and d.\n | 22\n | ibivibiv/math_instruct | |
Let b be (-26540)/14 - (-2)/(-7). Is (b/36)/((-2)/3) a prime number?\n | True\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-68.9009 * (36.0629 + 0.2891) | -2504.6855 | ibivibiv/math_instruct | |
What is the tens digit of (-8)/(2/(-102)*3)?\n | 3\n | ibivibiv/math_instruct | |
Let h = -815 - 921. Let g = -1735.3452 - h. What is g rounded to two dps?\n | 0.65\n | ibivibiv/math_instruct | |
Calculate (-195)/50 + (-2)/20.\n | -4\n | ibivibiv/math_instruct | |
Is -1347/166928 greater than or equal to 0?\n | False\n | ibivibiv/math_instruct | |
Simplify ((h**(-3))**(-45)*h**(-8)/(h**(-6/7)/h))**(-48) assuming h is positive.\n | h**(-43296/7)\n | ibivibiv/math_instruct | |
Let u(o) = o**3 - 6*o**2 - 16*o + 11. Let j be u(8). Solve v - j = -5*x - 3, 0 = v + 2*x - 5 for v.\n | 3\n | ibivibiv/math_instruct | |
Let y = -93 + 101. What is the first derivative of -9*g + 5*g + 0 - y - 11*g wrt g?\n | -15\n | ibivibiv/math_instruct | |
Evaluate (18991/5426)/((-70)/4).\n | -1/5\n | ibivibiv/math_instruct | |
Let q(v) = -5*v**3 - v**2 + v + 1. Let p be q(-1). Suppose -p*r = -5*k - 33, 3*r + 3*k - 1 + 10 = 0. Is r a prime number?\n | True\n | ibivibiv/math_instruct | |
-8 (base 9) to base 14\n | -8\n | ibivibiv/math_instruct | |
What is 502 minutes after 8:50 PM?\n | 5:12 AM\n | ibivibiv/math_instruct | |
What is the tens digit of (122 - -143) + -5 + -1?\n | 5\n | ibivibiv/math_instruct | |
What comes next: -107841, -107920, -108133, -108546, -109225, -110236?\n | -111645\n | ibivibiv/math_instruct | |
Let z = 1230 - 865. Let o = 364 - z. Sort -4, o, -3, 2.\n | -4, -3, o, 2\n | ibivibiv/math_instruct | |
What is twenty-seven halves of a millennium in years?\n | 13500\n | ibivibiv/math_instruct | |
Let p = 9.7 - 8.7. Which is the nearest to -207/4? (a) -5 (b) p (c) -1/5\n | a\n | ibivibiv/math_instruct | |
Let k(q) = 5*q - 4. Let t be k(9). Let u = 138 - t. Is u a multiple of 11?\n | False\n | ibivibiv/math_instruct | |
b"What is the pth term of -234299, -937194, -2108685, -3748772, -5857455, -8434734?\n" | -234298*p**2 - p\n | ibivibiv/math_instruct | |
How many minutes are there between 2:38 AM and 6:58 AM?\n | 260\n | ibivibiv/math_instruct | |
List the prime factors of 193630.\n | 2, 5, 17, 67\n | ibivibiv/math_instruct | |
In base 11, what is -9858 - -3?\n | -9855\n | ibivibiv/math_instruct | |
Solve 0 = -253*h - 55*h - 8008 for h.\n | -26\n | ibivibiv/math_instruct | |
Suppose 89 = -4*b - 243. Let x = b - -164. Let v = 241/3 - x. What is the closest to v in 0.1, -2, 2/7?\n | 0.1\n | ibivibiv/math_instruct | |
Let b(z) be the first derivative of -5*z**6/3 + 5*z**3/3 - 43*z**2/2 - 84. Find the second derivative of b(t) wrt t.\n | -200*t**3 + 10\n | ibivibiv/math_instruct | |
Let m(r) be the first derivative of r**3/6 - r**2/4 - 3*r - 246. Determine w, given that m(w) = 0.\n | -2, 3\n | ibivibiv/math_instruct | |
-2+44443815362841\n | 44443815362839\n | ibivibiv/math_instruct | |
Rearrange -6*w + 81*w + 21*w to the form k*w + d and give d.\n | 0\n | ibivibiv/math_instruct | |
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"# What can we say when the Wilcoxon signed-rank paired test shows significance but the means and the medians have different orderings?
In Wilcoxon signed-rank paired test, the hypotheses are
$H_0$: difference between the pa... | In hypothesis testing, the Wilcoxon Signed-Rank Paired Test is a non-parametric alternative to the paired t-test. It tests whether there is evidence of a significant shift in location between two matched samples, assuming the differences between the paired observations are symmetrically distributed about some value, t... | ibivibiv/math_instruct | |
What is the greatest common divisor of 672060 and 2760?\n | 1380\n | ibivibiv/math_instruct | |
Solve -2*o = -6*b - 71 + 111, -35 = -2*b + 5*o for b.\n | 5\n | ibivibiv/math_instruct | |
Simplify ((s*(s*s**(-1/65))/s)/s)/s**(-1/17) assuming s is positive.\n | s**(48/1105)\n | ibivibiv/math_instruct | |
What is the third biggest value in -3, -0.7357, 12/11, -0.2?\n | -0.7357\n | ibivibiv/math_instruct | |
Suppose -9*m - 37 = 89. Let q(f) = 2*f**2 + 27*f - 11. Let z be q(m). List the prime factors of (z/(6/31))/((-2)/(-4)).\n | 31\n | ibivibiv/math_instruct | |
Collect the terms in -6*p**2 + 5*p**2 - 59*p**3 + 12*p**3 - 2*p + 9*p**2.\n | -47*p**3 + 8*p**2 - 2*p\n | ibivibiv/math_instruct | |
What is the closest to -3 in -1557, 1/7, -1453, 2?\n | 1/7\n | ibivibiv/math_instruct | |
Convert 214b9 (base 15) to base 2.\n | 11001110011100011\n | ibivibiv/math_instruct | |
Solve 4334 = 662*a - 7582 for a.\n | 18\n | ibivibiv/math_instruct | |
What is the fifth root of 33654991 to the nearest integer?\n | 32\n | ibivibiv/math_instruct | |
Suppose -1484133 = -449*z + 428*z. Is z prime?\n | False\n | ibivibiv/math_instruct | |
Suppose -3*s = 4*u - 62230 - 303666, -3*u + 4*s + 274422 = 0. Is u composite?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 7000.\n | 2, 5, 7\n | ibivibiv/math_instruct | |
Put -3, 4, -1/3, 12/25, 5 in decreasing order.\n | 5, 4, 12/25, -1/3, -3\n | ibivibiv/math_instruct | |
Let -2*c**4/3 + 1472*c**3/3 - 84090*c**2 - 6969200*c/3 + 7220000/3 = 0. What is c?\n | -25, 1, 380\n | ibivibiv/math_instruct | |
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"$(0)$ and $p^n\mathbb{Z}$ (where $p$ prime, $n$ positive integer) are the only primary ideals in $\mathbb{Z}$
I am trying to show that $$(0)$$ and $$p^n \mathbb{Z}$$ are the precisely primary ideals in $$\mathbb{Z}.$$
Clear... | To begin, let us recall the definition of a primary ideal. An ideal $I$ in a commutative ring $R$ is said to be primary if for all elements $a, b \in R$, $ab \in I$ implies either $a \in I$ or $b^n \in I$ for some positive integer $n$. This definition characterizes primary ideals as those ideals where division by non-... | ibivibiv/math_instruct | |
Let v = 1166 - 690. Suppose -147 - 329 = -4*o - 3*c, -4*o - 4*c + v = 0. Is o a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose -2*s = -2 - 6. Suppose 4*t + z - 29 = t, 0 = -3*z - 12. Solve -5*u + t = -2*g + 5, s*u - 2*g = 4 for u.\n | 2\n | ibivibiv/math_instruct | |
What is the highest common factor of 2000 and 32?\n | 16\n | ibivibiv/math_instruct | |
What is the seventh root of 1897743 to the nearest integer?\n | 8\n | ibivibiv/math_instruct | |
Calculate the remainder when 958 is divided by 477.\n | 4\n | ibivibiv/math_instruct | |
List the prime factors of 650773808.\n | 2, 40673363\n | ibivibiv/math_instruct | |
Simplify -6*(5 + (sqrt(8) - sqrt(16)/sqrt(2) - sqrt(20)/(sqrt(10)*1))*1).\n | -30 + 6*sqrt(2)\n | ibivibiv/math_instruct | |
Suppose -4*o = -5*k + 900, k + 2*o + 2*o - 156 = 0. Let t = 681 - 659. What is the highest common divisor of t and k?\n | 22\n | ibivibiv/math_instruct | |
Simplify ((s*s**(2/3))**40/((s*(s*((((s/(s**4*s))/s)/s)/s)/s)/s*s*s)/s**(-10)))**(-34) assuming s is positive.\n | s**(-6290/3)\n | ibivibiv/math_instruct | |
Sort -4214, -3, 832, 3 in increasing order.\n | -4214, -3, 3, 832\n | ibivibiv/math_instruct | |
Let u be (-1 - -5 - 2)*(-10497)/3. Let k be (-1)/(-6) - (u/(-12) + 2). What is k rounded to the nearest one hundred?\n | -600\n | ibivibiv/math_instruct | |
Simplify ((u*u**(-2/9)*u)/(u/(u*u**(-3/8)))*((u*u**(1/2)*u)/u)**(-42))**(20/9) assuming u is positive.\n | u**(-22175/162)\n | ibivibiv/math_instruct | |
What comes next: -185884, -188586, -195930, -210238, -233832, -269034, -318166, -383550?\n | -467508\n | ibivibiv/math_instruct | |
How many minutes are there between 9:45 AM and 2:19 PM?\n | 274\n | ibivibiv/math_instruct | |
Expand ((-3 + 0 + 4)*(g**2 + g**2 - 4*g**2) - 2*g + 2*g - g**2)*(-3 + 3 + 1 + (5 + 3 - 3)*(3 - 4 - 1)).\n | 27*g**2\n | ibivibiv/math_instruct | |
Suppose 6*c = -197 + 569. What is the remainder when c is divided by 38?\n | 24\n | ibivibiv/math_instruct | |
Solve z**3/3 + 131456*z**2/3 + 1440100479*z + 2880025686 = 0 for z.\n | -65727, -2\n | ibivibiv/math_instruct | |
Solve 25 = 13*q - 18*q for q.\n | -5\n | ibivibiv/math_instruct | |
Suppose 45 = 5*g - 5*r, -4*g + 2*r = -28 + 2. Let l(a) = -a**3 + 5*a**2 - 3*a - 1. Let y be l(g). Solve 0 = -3*i - 3*p - 21, 5*p + 24 + 1 = -y*i for i.\n | -5\n | ibivibiv/math_instruct | |
Solve -8569*r - 135 = -8560*r for r.\n | -15\n | ibivibiv/math_instruct | |
Find the common denominator of -97/288 and -35/12.\n | 288\n | ibivibiv/math_instruct | |
Let g = -12226 + 17414. Round g to the nearest 100.\n | 5200\n | ibivibiv/math_instruct | |
Let c(y) = 2*y**2 - 2*y + 14. Let g be 30/(-4)*-1*2/3. Suppose 0 = -5*t - g*x + 67 - 22, 4*x = 8. What are the prime factors of c(t)?\n | 2, 7\n | ibivibiv/math_instruct | |
Let b(n) = 6*n**2 + 10*n**2 + 3*n**2 - 19*n**2 - 2*n**2. Let c(t) = -8*t**2 - 9*t. Determine c(b(h)).\n | -32*h**4 + 18*h**2\n | ibivibiv/math_instruct | |
What is the third root of 862756 to the nearest integer?\n | 95\n | ibivibiv/math_instruct | |
Expand (2 + 2 + 2*o - 12 - 2*o**2)*(0*o - 2*o + 3*o).\n | -2*o**3 + 2*o**2 - 8*o\n | ibivibiv/math_instruct | |
Evaluate (12/(-5))/(25*(-76)/4750).\n | 6\n | ibivibiv/math_instruct | |
b"What is the sth term of 89, 187, 323, 503, 733, 1019?\n" | s**3 + 13*s**2 + 52*s + 23\n | ibivibiv/math_instruct | |
Let r be (-2)/((-2)/(-5))*72/10. Let d = r + 42. Suppose 3*h = d + 66. List the prime factors of h.\n | 2, 3\n | ibivibiv/math_instruct | |
What is the seventh root of 11105 to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(94.0361 / 70.3186) / (-45.3304 + 73.0835) | 0.0482 | ibivibiv/math_instruct | |
Is 222846 a multiple of 13?\n | True\n | ibivibiv/math_instruct | |
Let i(n) be the third derivative of 3*n**5/5 + 32*n**3/3 + n**2 - 4*n. What is the first derivative of i(y) wrt y?\n | 72*y\n | ibivibiv/math_instruct | |
What is -253 times -1.6?\n | 404.8\n | ibivibiv/math_instruct | |
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"GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 24 Sep 2018, 08:32
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and sugges... | The given text pertains to a question from the Graduate Management Admission Test (GMAT), which is used as part of the selection process for business schools and programs. This particular problem involves counting and probability, specifically focusing on selecting one individual from a group. Here's how to approach i... | ibivibiv/math_instruct | |
Let m(w) = w**2. Suppose -3*r - 20 = 2*r. Let i be 1*(12/r - -3). Let o(p) = i*p + p + 2*p + 5*p. Determine m(o(k)).\n | 64*k**2\n | ibivibiv/math_instruct | |
Is 21 a factor of 10311?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 6/(-20) + 48/80 - 985019/(-70)?\n | 2, 1759\n | ibivibiv/math_instruct | |
Does 639 divide 32225?\n | False\n | ibivibiv/math_instruct | |
Suppose -y = -6*y + 100. Suppose 4*j - y - 48 = 0. Solve -v = v - 4*x - 6, 0 = 4*v - 3*x - j for v.\n | 5\n | ibivibiv/math_instruct |
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