SYZYGYMATH

Student help

How to enter an answer

This guide is the official reference: quiz grading follows these rules exactly. Simple calculator-style entry — no LaTeX in the answer box.

1. General rules

  • Open = close: every ( needs a ); same for brackets and braces.
  • No $…$ or LaTeX commands in the answer box.
  • Multiplication: * optional when clear.
  • Match the requested format (function, interval, set, number…).

2. Numbers and operations

Command / symbolMeaningExample
+ - * /Basic operations3*x+1 ou (x+1)/2
^Powerx^2 (2x+1)^3 2^(3x)
piConstant π2*pi ou sin(pi/2)
eEuler’s number (in e^x)e^(4x) ou exp(4x)
abs(...)Absolute valueabs(x-1)

3. Functions

Calculator-style. Arguments go in parentheses.

Command / symbolMeaningExample
sqrt(...)Square root √sqrt(x) sqrt(x^2-2)
cbrt(...)Cube root ∛cbrt(x) cbrt(x^8)
(...) ^(1/n)n-th root(x)^(1/4)
sin cos tanTrigonometrysin(x) cos(3x) tan(x^2)
sec csc cotSec, csc, cotsec(3x^2+5)
arcsin arccos arctanInverse trig (also asin, acos, atan)arctan(5x) asin(x)
ln(...) / log(...)Natural logarithmln(x) ln(2) 4*ln(x)
e^... / exp(...)Exponentiale^(4x) 4*exp(4x)
a^(...)Exponential base a2^(3x) 3*2^(3x)*ln(2)
n! / factorial(n) / factorielle(n)Factorial — 0!=1, integer n ≥ 00! 5! factorielle(10) 6!/(4!2!)
nCr / C(n,r)Combinations — 23C2 = C(23,2). For 2×C(3,2), write 2*3C252C5 10c3 22C3/6 2*3C2
nPr / nAr / P(n,r) / A(n,r)Arrangements P(n,r) or nAr — n ≥ r ≥ 0 (same as nPr)4P2 4A2 P(4,2) A(4,2) 10p3
sinh cosh tanhHyperbolic (+ arcsinh…)sinh(x) tanh(2x)
Combinatorics (numeric answers) — calculator-style:
  • Factorial: 0! equals 1; also 5!, factorielle(10).
  • Combinations: 52C5 = C(52,5); 22C3/6 evaluates C(22,3) first, then divides by 6.
  • Factorial fractions: 6!/(4!2!) — implicit × between 4! and 2! in the denominator.
  • Note: 23C2 means C(23,2). For 2 × C(3,2), write 2*3C2 (* required).
  • Arrangements: 4P2, 4A2 (nAr notation), P(4,2), A(4,2).

4. Intervals

Use brackets. Respect open/closed. Join with U.

Command / symbolMeaningExample
[a, b]Closed on both sides[0, 1]
]a, b[Open on both sides]0, 1[
[a, b[ ]a, b]Half-open[0, 1[ ]0, 1]
oo +oo -ooInfinity (type oo, not ∞)]-oo, 3[ ]3, +oo[
UUnion of intervals]-oo, 3[ U ]3, +oo[
Always close every bracket. Spaces around U are fine.

5. Limits, series & integrals (±∞)

For these questions, use the menus: finite value, +∞ or −∞, then the form if required.

Command / symbolMeaningExample
ValueText field: finite or oo / +oo / -oo (e^(-3) ≈ 1/e^3)-1/3 pi oo -oo
FormFirst determined or indeterminate (LaTeX in the menu, ±∞)0/0 1^(±∞) (±∞)−(±∞)
L'Hôpital × nIf asked: number of rule applications1 2
Series / integralSame value field; disable the form if not neededoo pi^2/6
Suggested order: form (if required) → value. LaTeX prefix/suffix like other questions (e.g. $L=$). Partial credit possible.

5. Sets

Command / symbolMeaningExample
{ a, b, c }Set of values (braces){-2, 2}
,Separator between elements{0, 1, 4}
Open { and close }. Order usually does not matter.

6. Points, lists, numbers

Command / symbolMeaningExample
(x, y)Point / coordinate pair(2, -1)
;List of several answersa;b;c
numberNumeric answer (dot decimal)3.14 ou -2

7. Matching

Matching: each list can be shown or blank. If shown, you only pick the label. If blank, you type the value (grading mode is set by the teacher).

Graph example: left hidden (type abscissas), right shown (LaTeX reasons). Match each value to a letter — row order does not matter. Other blank modes: function, equation, set, interval (domain).

8. Full examples

Factored function

6(2-x^2)^2(1+3x)^3(x+1)(4-5x)

Domain (intervals)

]-oo, -2[ U ]2, +oo[

Solution set

{-1, 4/5}

When in doubt: match the question type and copy the formats above. Always close every opened ( [ {.

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