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ランク	トピック	問題	フォーマット化された問題
50201	最大公約数を求める	15x^4 and 35x^2	$15 x^{4}$ and $35 x^{2}$
50202	漸近線を求める	(x^2-4)/(x^2)	$\frac{x^{2} - 4}{x^{2}}$
50203	放物線であるかどうかを証明しなさい。	y=-3(x-5)^2-7	$y = - 3 {(x - 5)}^{2} - 7$
50204	関数の値を求める	f(x)=x^2-4x+32 ; at (3,0) , t^3	$f (x) = x^{2} - 4 x + 32$ ; at $(3, 0)$ , $t^{3}$
50205	傾きを求める	(0,-8) and (9,4)	$(0, - 8)$ and $(9, 4)$
50206	漸近線を求める	(3(5x-7))/(2(x+10)(x-10))	$\frac{3 (5 x - 7)}{2 (x + 10) (x - 10)}$
50207	関数演算を解く	f(x)=(2x)/(4-3x) f^-1(x)	$f (x) = \frac{2 x}{4 - 3 x}$ $f^{- 1} (x)$
50208	傾きを求める	(2,5) and (0,9)	$(2, 5)$ and $(0, 9)$
50209	傾きを求める	(2,-6) and (0,2)	$(2, - 6)$ and $(0, 2)$
50210	傾きを求める	In simplest form, what is the slope of the line passing through (5,3) and (-4,-3) ?	In simplest form, what is the slope of the line passing through $(5, 3)$ and $(- 4, - 3)$ ?
50211	値域を求める	f(x)=7x^5-3x^2+4x-15	$f (x) = 7 x^{5} - 3 x^{2} + 4 x - 15$
50212	関数演算を解く	x-5 ; find f^-1(x)の立方根f(x)=3	$f (x) = 3 \sqrt[3]{x} - 5$ ; find $f^{- 1} (x)$
50213	定義域を求める	9-xの立方根の平方根	$\sqrt{\sqrt[3]{9 - x}}$
50214	漸近線を求める	y=(x^2+x-12)/(x-3)	$y = \frac{x^{2} + x - 12}{x - 3}$
50215	傾きを求める	Find the slope of the line passing through the points (-3,-8) and (4,6)	Find the slope of the line passing through the points $(- 3, - 8)$ and $(4, 6)$
50216	傾きを求める	(-12,-5) and (0,-8)	$(- 12, - 5)$ and $(0, - 8)$
50217	定義域を求める	F(x)=(2x^2-x-1)/(x^2+1)	$F (x) = \frac{2 x^{2} - x - 1}{x^{2} + 1}$
50218	関数演算を解く	If f(x)=x^3+6 ; what is the value of f(3) ?	If $f (x) = x^{3} + 6$ ; what is the value of $f (3)$ ?
50219	関数演算を解く	Given that f(x)=x^2-11x+24 and g(x)=x-3 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 11 x + 24$ and $g (x) = x - 3$ ; find $f (x) - g (x)$ and express the result in standard form.
50220	関数演算を解く	f(x)=10x^(1/3)-6 ; find f^-1(x)	$f (x) = 10 x^{\frac{1}{3}} - 6$ ; find $f^{- 1} (x)$
50221	関数演算を解く	6700dollar is placed in an account with an annual interest rate of 8% How much will be in the account after 24yr ; to the nearest cent ?	$6700$ dollars is placed in an account with an annual interest rate of $8 %$ How much will be in the account after $24 years$ ; to the nearest cent?
50222	関数演算を解く	A new car is purchased for 23200dollar The value of the car depreciates at 13.25% per yr What will the value of the car be, to the nearest cent , after 7yr ?	A new car is purchased for $23200$ dollars. The value of the car depreciates at $13.25 %$ per $year$ What will the value of the car be, to the nearest cent, after $7 years$ ?
50223	定義域を求める	2/(x^2-6x+y)	$\frac{2}{x^{2} - 6 x + y}$
50224	関数の値を求める	2x-y for x=17 and y=12	$2 x - y$ for $x = 17$ and $y = 12$
50225	最大公約数を求める	18 and 30	$18$ and $30$
50226	漸近線を求める	f(x)=-3 -x+3-4の対数の底4	$f (x) = - 3 \log_{4} (- x + 3) - 4$
50227	関数演算を解く	g(a)=2a+5 h(a)=4a+3 Find g(-3)-h(-3)	$g (a) = 2 a + 5$ $h (a) = 4 a + 3$ Find $g (- 3) - h (- 3)$
50228	漸近線を求める	f(x)=(-3x^7)/(4x^4)	$f (x) = \frac{- 3 x^{7}}{4 x^{4}}$
50229	関数演算を解く	Given that f(x)=x^2-3x-70 and g(x)=x-10 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 70$ and $g (x) = x - 10$ ; find $(f + g) (x)$ and express the result in standard form.
50230	漸近線を求める	f(x)=(x+3)/(-3x^2-9x)	$f (x) = \frac{x + 3}{- 3 x^{2} - 9 x}$
50231	関数演算を解く	If f(x)=4x-3 and g(x)=5x+7 ; find (f-g)(x)	If $f (x) = 4 x - 3$ and $g (x) = 5 x + 7$ ; find $(f - g) (x)$
50232	関数演算を解く	0.3j-(0.1j-3)+0.1=2 (j+0.1)+0.2	$0.3 j - (0.1 j - 3) + 0.1 = 2$ $(j + 0.1) + 0.2$
50233	漸近線を求める	(3x(5x+4))/((5x-3)(x+2))	$\frac{3 x (5 x + 4)}{(5 x - 3) (x + 2)}$
50234	関数演算を解く	Given that f(x)=x^2-11x+28 and g(x)=x-4 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 11 x + 28$ and $g (x) = x - 4$ ; find $f (x) - g (x)$ and express the result in standard form.
50235	定義域を求める	1+x+(x^2)/(1-x)=1/(1-x)	$1 + x + \frac{x^{2}}{1 - x} = \frac{1}{1 - x}$
50236	関数演算を解く	f(x)=((x+7)^(1/3))/3 ; find f^-1(x)	$f (x) = \frac{{(x + 7)}^{\frac{1}{3}}}{3}$ ; find $f^{- 1} (x)$
50237	定義域を求める	y=1/( 9-x^2)の平方根	$y = \frac{1}{\sqrt{9 - x^{2}}}$
50238	関数演算を解く	p(-4) if p(x)=3x^2-4x+7	$p (- 4)$ if $p (x) = 3 x^{2} - 4 x + 7$
50239	漸近線を求める	y=2/3+1/x	$y = \frac{2}{3} + \frac{1}{x}$
50240	漸近線を求める	y=(10x)/((x+3)^2)	$y = \frac{10 x}{{(x + 3)}^{2}}$
50241	傾きを求める	(-2,-5) and (-3,-6)	$(- 2, - 5)$ and $(- 3, - 6)$
50242	傾きを求める	(10,-6) and (13,-7)	$(10, - 6)$ and $(13, - 7)$
50243	最大公約数を求める	9 and 18	$9$ and $18$
50244	最大公約数を求める	42mn , 14mn	$42 m n$ , $14 m n$
50245	傾きを求める	(6,-6) and (8,8)	$(6, - 6)$ and $(8, 8)$
50246	関数演算を解く	If f(x)=2x and g(x)=2x^2-1 find g(f(x))	If $f (x) = 2 x$ and $g (x) = 2 x^{2} - 1$ find $g (f (x))$
50247	定義域を求める	(2/x)/(x/(x-1))	$\frac{\frac{2}{x}}{\frac{x}{x - 1}}$
50248	関数演算を解く	g(x)=3x+3 f(x)=2x-3 Find (g-f)(-9)	$g (x) = 3 x + 3$ $f (x) = 2 x - 3$ Find $(g - f) (- 9)$
50249	関数演算を解く	Ala resta de25y12le sumas el producto de*42 por -7	Ala resta $d e \cdot 25 y \cdot 12 l e$ sumas $e l$ producto $d e \cdot 42$ por $- 7$
50250	関数の値を求める	g(x)=2x^2+10x , g(-4)	$g (x) = 2 x^{2} + 10 x$ , $g (- 4)$
50251	定義域を求める	((4m^2-25n^2)/(m^3+8))÷((2m+5n)/(m^2-2m+4))	$\frac{4 m^{2} - 25 n^{2}}{m^{3} + 8} \div \frac{2 m + 5 n}{m^{2} - 2 m + 4}$
50252	関数の値を求める	5^x=15 , 625	$5^{x} = 15$ , $625$
50253	定義域を求める	( x-3)/(x-9)の平方根	$\frac{\sqrt{x} - 3}{x - 9}$
50254	関数演算を解く	x-5 ; find f^-1(x)の立方根f(x)=10	$f (x) = 10 \sqrt[3]{x} - 5$ ; find $f^{- 1} (x)$
50255	定義域を求める	f(x)=x+2 if x<=2; x^2 if x>2	$f (x) = {\begin{cases} x + 2 & x \leq 2 \\ x^{2} & x > 2 \end{cases}$
50256	漸近線を求める	y=csc(x/2-pi/3)	$y = \csc (\frac{x}{2} - \frac{π}{3})$
50257	関数演算を解く	f(x)=((x-9)^(1/3))/5 ; find f^-1(x)	$f (x) = \frac{{(x - 9)}^{\frac{1}{3}}}{5}$ ; find $f^{- 1} (x)$
50258	定義域を求める	\|x+1\|の自然対数	$\ln (\| x + 1 \|)$
50259	傾きを求める	What is the slope of the line through (-9,6) and (-6,-9) ?	What is the slope of the line through $(- 9, 6)$ and $(- 6, - 9)$ ?
50260	関数演算を解く	Given that f(x)=x^2+5x-14 and g(x)=x-2 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 5 x - 14$ and $g (x) = x - 2$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
50261	定義域を求める	f(x)=x+9+ 2-7xの平方根	$f (x) = x + 9 + \sqrt{2 - 7 x}$
50262	最大公約数を求める	28p^4 and 44p^2q	$28 p^{4}$ and $44 p^{2} q$
50263	傾きを求める	(8,4) and (6,10)	$(8, 4)$ and $(6, 10)$
50264	傾きを求める	(a,1/b) , (b,1/a)	$(a, \frac{1}{b})$ , $(b, \frac{1}{a})$
50265	漸近線を求める	y=(x^2+x-6)/(3x^2-12)	$y = \frac{x^{2} + x - 6}{3 x^{2} - 12}$
50266	関数演算を解く	f(x)=-x-1 if x!=5; 0 if x=5 Find f(5)	$f (x) = {\begin{cases} - x - 1 & x \neq 5 \\ 0 & x = 5 \end{cases}$ Find $f (5)$
50267	定義域を求める	(x^2-16)/(9-x)*(x^2+x-90)/(x^2+14x+40)	$\frac{x^{2} - 16}{9 - x} \cdot \frac{x^{2} + x - 90}{x^{2} + 14 x + 40}$
50268	傾きを求める	(-3,-9) and (0,0)	$(- 3, - 9)$ and $(0, 0)$
50269	関数演算を解く	f(x)=(x+8)^2-5 if x!=-5; -1 if x=-5 Find f(-5)	$f (x) = {\begin{cases} {(x + 8)}^{2} - 5 & x \neq - 5 \\ - 1 & x = - 5 \end{cases}$ Find $f (- 5)$
50270	傾きを求める	2(x-3)=y+3	$2 (x - 3) = y + 3$
50271	関数演算を解く	f(x)=3x+10 g(x)=x-2 Find f(g(x))	$f (x) = 3 x + 10$ $g (x) = x - 2$ Find $f (g (x))$
50272	関数演算を解く	g(x)=-x+4 ; find g(-4)	$g (x) = - x + 4$ ; find $g (- 4)$
50273	関数演算を解く	Given that f(x)=x^2+9x+18 and g(x)=x+3 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 9 x + 18$ and $g (x) = x + 3$ ; find $(f \div g) (x)$ and express the result in standard form.
50274	関数演算を解く	f(n)=n^2+3n g(n)=-n-3 Find f(g(3))	$f (n) = n^{2} + 3 n$ $g (n) = - n - 3$ Find $f (g (3))$
50275	関数演算を解く	Let f(x)=3x-6 and g(x)=x-2 Find f/g and its domain.	Let $f (x) = 3 x - 6$ and $g (x) = x - 2$ Find $\frac{f}{g}$ and its domain.
50276	関数演算を解く	f(-6) if f(x)=4x+7	$f (- 6)$ if $f (x) = 4 x + 7$
50277	最大公約数を求める	What is the greatest common factor of 9 and 36 ?	What is the greatest common factor of $9$ and $36$ ?
50278	定義域を求める	(a+b-(2ab)/(a+b))÷((a-b)/(a+b)+b/a)	$(a + b - \frac{2 a b}{a + b}) \div (\frac{a - b}{a + b} + \frac{b}{a})$
50279	関数演算を解く	h(t)=2*3^(t+3) ; Find h(4+t)	$h (t) = 2 \cdot 3^{t + 3}$ ; Find $h (4 + t)$
50280	関数演算を解く	Let f(x)=x^2-13x+28 and find f(6)	Let $f (x) = x^{2} - 13 x + 28$ and find $f (6)$
50281	漸近線を求める	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
50282	因数定理を用いて因数を求める	x^3+x^2-10x+8 , x-2	$x^{3} + x^{2} - 10 x + 8$ , $x - 2$
50283	定義域を求める	((a^2+4a+4)/(16-b^4))÷((4-a^2)/(4+b^2))	$\frac{a^{2} + 4 a + 4}{16 - b^{4}} \div \frac{4 - a^{2}}{4 + b^{2}}$
50284	最大公約数を求める	30w and 70w	$30 w$ and $70 w$
50285	定義域を求める	f(x)=(2x- x-4)/(の平方根x+6-x)の平方根	$f (x) = \frac{2 x - \sqrt{x - 4}}{\sqrt{x + 6} - x}$
50286	定義域を求める	f(x)=1/( 5x^2+14x-3)の平方根	$f (x) = \frac{1}{\sqrt{5 x^{2} + 14 x - 3}}$
50287	最大公約数を求める	38(a^3+a^3b) , 57a(1+b)^2 , 76a^4(1+b)^3	$38 (a^{3} + a^{3} b)$ , $57 a {(1 + b)}^{2}$ , $76 a^{4} {(1 + b)}^{3}$
50288	関数演算を解く	3x+y=0 , x>=0	$3 x + y = 0$ , $x \geq 0$
50289	傾きを求める	(4,-9) and (4,-10)	$(4, - 9)$ and $(4, - 10)$
50290	傾きを求める	(13,4) and (6,-10)	$(13, 4)$ and $(6, - 10)$
50291	関数演算を解く	f(x)=(7-8x)^2 ; find f^-1	$f (x) = {(7 - 8 x)}^{2}$ ; find $f^{- 1}$
50292	頂点を求める	f(x)=0.1(x-3.2)^2	$f (x) = 0.1 {(x - 3.2)}^{2}$
50293	定義域を求める	x/( 1-x)の平方根	$\frac{x}{\sqrt{1 - x}}$
50294	関数の値を求める	g(x)=\|x-x^2\| , g(-7)	$g (x) = \| x - x^{2} \|$ , $g (- 7)$
50295	定義域を求める	(x^2+x)^2+(x^2+x)	${(x^{2} + x)}^{2} + (x^{2} + x)$
50296	差商を求める	F(x)=-6x+2	$F (x) = - 6 x + 2$
50297	漸近線を求める	(3(3x-8)(x-3))/(x(2x+5))	$\frac{3 (3 x - 8) (x - 3)}{x (2 x + 5)}$
50298	関数演算を解く	Given that f(x)=x^2+3x-28 and g(x)=x+7 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 28$ and $g (x) = x + 7$ ; find $f (x) - g (x)$ and express the result in standard form.
50299	傾きを求める	(4,6) and (4,8)	$(4, 6)$ and $(4, 8)$
50300	定義域を求める	k(x)=1/((x+5)(x-2)(x-7))	$k (x) = \frac{1}{(x + 5) (x - 2) (x - 7)}$