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"For any letter we can substitute throughout the identity any expression containing a new letter..."
"For any letter we can substitute throughout the identity any expression."
"If an identity with n letters is to be true…"
"mn + 1 = p is a prime…"
"n is an odd prime, a, b, c are integers…"
"s is a power of n"
"To obtain a particular case by putting two letters the same."
Academy of Sciences of Lisbon Award
Academy of Sciences of Turin Award
Algebraic manipulations, along with intersecting oval figures (with marked points of intersection)
Algebraic manipulations, doodled on an old stock offer
Algebraic manipulations, doodled on top of an old exercise paper
American Academy of Arts and Sciences Award
Analyses related to cubic and quintic polynomial equations
Analysis associated with reduced quintic polynomial equation
Analysis of a particular quintic polynomial equation
Analysis of factors using modular arithmetic
Analysis of primes and factors using modular arithmetic
Analysis related to solving reduced cubic polynomial equation
Attempts to logarithmic and exponential equations
Axioms for rings
Circuitry/electricity physics problem
Comparison of coefficients in different expansions
Construction of quintic expressions
Continued fractional term manipulations & permutations of x and y terms
Determining HCFs
Diagrams for exercises
Expansions and factoring of terms in multiple variables
Expansions and summations of fifth-degree term, with substitution
Expansions and summations of fifth-degree term, with substitution and comparison of coefficients
Expansions of terms in third-, fourth-, and fifth-degree polynomials
Expansions of various powers, with comparison of coefficients
Factors, primes, and remainders (modular arithmetic)
Fifth-degree polynomial equations
Investigating powers, factors, and primes
List of permultations of five elements chosen from five: Multiple representations
Logarithmic equations
Manipulation of fractional expressions
Manipulation of fractional expressions
Manipulations of equations in many variables
Manipulations of equations in many variables, doodled on an old school progress report
Manipulations of matrices involving four unknowns
Manipulations on an equation involving five unknowns
Manipulations on an equation involving six unknowns
Manipulations on equations involving multiple unknowns
Matrices and differentiation
Modular arithmetic
Numbers in terms of exponents n and analysis of expressions modulo λ
Observations of primes and factors
Old school problem diagrams

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