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Topics
Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
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Integrals
Limits
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mode(2%2C4%2C5%2C3%2C2%2C4%2C5%2C6%2C4%2C3%2C2)
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5 problems similar to:
mode(2%2C4%2C5%2C3%2C2%2C4%2C5%2C6%2C4%2C3%2C2)
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Compositeness of number k\cdot 2^n+1?
https://math.stackexchange.com/q/89871
There are zillions of such relations. For example: 2^6+1 is a multiple of 13, so k2^n+1 is composite if n\equiv6\pmod{12} and k\equiv1\pmod{13}. You can make as many of these as you want. ...
Semantic deduction theorem in first order logic for sentences
https://math.stackexchange.com/q/2721332
Your argument is correct: the issue is with the \vDash relation that, in some cases, is defined for sentences . For open \psi we have that M \vDash \psi is defined as follows : M \vDash \psi \text { iff } M \vDash \text{Cl}(\psi) ...
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https://math.stackexchange.com/questions/3114517/first-orderer-logic-completeness-and-independence-the-proof-that-disappear
The complexity of T is indeed the issue, but on a much grander scale than you're considering. When you ask whether T is "computationally simple" (e.g. effectively axiomatizable) you're ...
AIME 2013 Solutions (divisiblity)
https://math.stackexchange.com/questions/1173167/aime-2013-solutions-divisiblity
Big hint: Note that the digits b and c can be chosen freely, (100 choices total); and then, whatever the choices for b and c, there are 2 choices for d. For instance if b and c are ...
Question about the proof of Hensel's Lemma
https://math.stackexchange.com/questions/1125270/question-about-the-proof-of-hensels-lemma
1.1 We need that the solutions continue to be congruent to 0\mod p^n\Bbb Z_p because we are using the fact that the values converge to \Bbb 0 in \Bbb Z_p. Recall that |x|_p=0\iff x=0, so ...
Proof involving Chinese Remainder Theorem.
https://math.stackexchange.com/questions/470030/proof-involving-chinese-remainder-theorem
Since d\mid a_1-a_2, there is an integer x with xd=a_1-a_2. Since (n_1,n_2)=d, we have ({n_1\over d}, {n_2\over d})=1, so by the chinese remainder theorem, there is an integer k withk\equiv 0\;(\mbox{mod}\;{n_1\over d}) ...
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