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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
49701	関数演算を解く	f(x)=(x-8)^(1/4) ; find f^-1(x)	$f (x) = {(x - 8)}^{\frac{1}{4}}$ ; find $f^{- 1} (x)$
49702	関数演算を解く	h(x)=2/3x-1 , h(9)	$h (x) = \frac{2}{3} x - 1$ , $h (9)$
49703	傾きを求める	y=x^-1	$y = x^{- 1}$
49704	関数演算を解く	([(1,4-0,2)*3,2])÷1 , 5	$[(1, 4 - 0, 2) \cdot 3, 2] \div 1$ , $5$
49705	関数演算を解く	f(x)=x^2+4x-14 g(x)=-x+4 Find: f(g(x))	$f (x) = x^{2} + 4 x - 14$ $g (x) = - x + 4$ Find: $f (g (x))$
49706	無限等比級数の和を求める	3+0.75+0.1875+0.046875+...	$3 + 0.75 + 0.1875 + 0.046875 + \dots$
49707	漸近線を求める	y=(x^3+3x^2-4x-12)/(x^2+8x+15)	$y = \frac{x^{3} + 3 x^{2} - 4 x - 12}{x^{2} + 8 x + 15}$
49708	漸近線を求める	f(x) = square root of (4x+1)/(x-4)	$f (x) = \sqrt{\frac{4 x + 1}{x - 4}}$
49709	関数演算を解く	f(x)=(x^7)/9 ; find f^-1(x)	$f (x) = \frac{x^{7}}{9}$ ; find $f^{- 1} (x)$
49710	関数演算を解く	Given that f(x)=x^2-2x-80 and g(x)=x-10 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 2 x - 80$ and $g (x) = x - 10$ ; find $f (x) - g (x)$ and express the result in standard form.
49711	関数演算を解く	f(x)=-4 if x!=4; 6 if x=4 Find f(-1)	$f (x) = {\begin{cases} - 4 & x \neq 4 \\ 6 & x = 4 \end{cases}$ Find $f (- 1)$
49712	定義域を求める	(x^3-8)/(x^2+x-2)	$\frac{x^{3} - 8}{x^{2} + x - 2}$
49713	関数演算を解く	f(x)=4x+2 ; Find f(8)	$f (x) = 4 x + 2$ ; Find $f (8)$
49714	関数演算を解く	Given that f(x)=x^2-10x+24 and g(x)=x-6 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 10 x + 24$ and $g (x) = x - 6$ ; find $f (x) - g (x)$ and express the result in standard form.
49715	漸近線を求める	(3x^2)/(4x^2-1)	$\frac{3 x^{2}}{4 x^{2} - 1}$
49716	定義域を求める	((x^4+x^3-30x^2)/(x^2-3x-18))÷((x^3+x^2-30x)/(x^2-36))	$\frac{x^{4} + x^{3} - 30 x^{2}}{x^{2} - 3 x - 18} \div \frac{x^{3} + x^{2} - 30 x}{x^{2} - 36}$
49717	定義域を求める	( -3x)/(x^2-1)の平方根	$\frac{\sqrt{- 3 x}}{x^{2} - 1}$
49718	最大公約数を求める	15x^3 , 25x^2 ; and 55x	$15 x^{3}$ , $25 x^{2}$ ; and $55 x$
49719	定義域を求める	y=(x^2)/(x^2-4)	$y = \frac{x^{2}}{x^{2} - 4}$
49720	傾きを求める	(-10,-7) and (-5,-9)	$(- 10, - 7)$ and $(- 5, - 9)$
49721	漸近線を求める	f(x)=3 -x+8-6の対数の底5	$f (x) = 3 \log_{5} (- x + 8) - 6$
49722	関数の値を求める	f(x)=4x+11 , f(c+7)	$f (x) = 4 x + 11$ , $f (c + 7)$
49723	漸近線を求める	f(x)=5* -xの対数	$f (x) = 5 \cdot \log (- x)$
49724	傾きを求める	(11/10,-1/2) and (1/5,1/5)	$(\frac{11}{10}, - \frac{1}{2})$ and $(\frac{1}{5}, \frac{1}{5})$
49725	定義域を求める	(y^2-1)/y+y/(y-3)	$\frac{y^{2} - 1}{y} + \frac{y}{y - 3}$
49726	最大公約数を求める	28 and 49	$28$ and $49$
49727	関数演算を解く	36 is 0.9% of what number w ?	$36$ is $0.9 %$ of what number $w$ ?
49728	関数の値を求める	([(1,4-0,2)*3,2])÷1 , 5	$[(1, 4 - 0, 2) \times 3, 2] \div 1$ , $5$
49729	頂点を求める	D(x)=1/36(x-60)^2-100	$D (x) = \frac{1}{36} {(x - 60)}^{2} - 100$
49730	定義域を求める	(x/(1+x))/(1+(x/(1+x)))	$\frac{(\frac{x}{1 + x})}{1 + (\frac{x}{1 + x})}$
49731	傾きを求める	(2,3) and (7,4)	$(2, 3)$ and $(7, 4)$
49732	関数演算を解く	f(x)=-x+1 ; find f(0)	$f (x) = - x + 1$ ; find $f (0)$
49733	最大公約数を求める	36 and 60	$36$ and $60$
49734	頂点を求める	-8y=-x^2	$- 8 y = - x^{2}$
49735	関数演算を解く	If u(x)=-2x^2+3 and v(x)=1/x ; what is the range of (uov)(x) ?	If $u (x) = - 2 x^{2} + 3$ and $v (x) = \frac{1}{x}$ ; what is the range of $((u \circ v)) (x)$ ?
49736	関数演算を解く	f(x)=(x-8)^7 ; find f^-1(x)	$f (x) = {(x - 8)}^{7}$ ; find $f^{- 1} (x)$
49737	関数演算を解く	Given that f(x)=x^2-10x+21 and g(x)=x-7 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 10 x + 21$ and $g (x) = x - 7$ ; find $(f + g) (x)$ and express the result in standard form.
49738	関数演算を解く	Given that f(x)=x^2-13x+30 and g(x)=x-3 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 30$ and $g (x) = x - 3$ ; find $(f \div g) (x)$ and express the result in standard form.
49739	定義域を求める	f(x) = square root of x+a	$f (x) = \sqrt{x + a}$
49740	関数演算を解く	f(x)=(x-8)^2-6 if x!=5; 2 if x=5 Find f(5)	$f (x) = {\begin{cases} {(x - 8)}^{2} - 6 & x \neq 5 \\ 2 & x = 5 \end{cases}$ Find $f (5)$
49741	漸近線を求める	f(x)=(x^3)/(5x^3-40)	$f (x) = \frac{x^{3}}{5 x^{3} - 40}$
49742	傾きを求める	(-5,4) and (1,6)	$(- 5, 4)$ and $(1, 6)$
49743	関数演算を解く	If P(x)=x^2+x+1 ; find P(6)	If $P (x) = x^{2} + x + 1$ ; find $P (6)$
49744	漸近線を求める	f(x)=4/(2x-4)-2	$f (x) = \frac{4}{2 x - 4} - 2$
49745	漸近線を求める	g(x)=((x+3)(x-2))/((x+5)(2x-1))	$g (x) = \frac{(x + 3) (x - 2)}{(x + 5) (2 x - 1)}$
49746	最大公約数を求める	48ab^2 and 32a^2b	$48 a b^{2}$ and $32 a^{2} b$
49747	傾きを求める	p=15-1/4q	$p = 15 - \frac{1}{4} q$
49748	関数演算を解く	f(x)=-x-9 if x!=-4; -4 if x=-4 Find f(-4)	$f (x) = {\begin{cases} - x - 9 & x \neq - 4 \\ - 4 & x = - 4 \end{cases}$ Find $f (- 4)$
49749	関数演算を解く	f(x)=x-6 if x!=5; 5 if x=5 Find f(5)	$f (x) = {\begin{cases} x - 6 & x \neq 5 \\ 5 & x = 5 \end{cases}$ Find $f (5)$
49750	漸近線を求める	y=(x^2)/((x+6)(x-4))	$y = \frac{x^{2}}{(x + 6) (x - 4)}$
49751	頂点を求める	y=2\|-x-3\|+5	$y = 2 \| - x - 3 \| + 5$
49752	定義域を求める	( x)^4-9の平方根	${(\sqrt{x})}^{4} - 9$
49753	関数演算を解く	f(x)=x-3 if x!=1; 6 if x=1 Find f(1)	$f (x) = {\begin{cases} x - 3 & x \neq 1 \\ 6 & x = 1 \end{cases}$ Find $f (1)$
49754	漸近線を求める	f(x) = log base 1/3 of x-4	$f (x) = \log_{\frac{1}{3}} (x - 4)$
49755	定義域を求める	((x^2+x^3)/(11a^2))÷((4+4x)/(a^3))	$\frac{x^{2} + x^{3}}{11 a^{2}} \div \frac{4 + 4 x}{a^{3}}$
49756	関数演算を解く	If Q(x)=7x^2-1 ; find Q(-10)	If $Q (x) = 7 x^{2} - 1$ ; find $Q (- 10)$
49757	漸近線を求める	(2(3x-10))/(3(5x+9))	$\frac{2 (3 x - 10)}{3 (5 x + 9)}$
49758	傾きを求める	(0,-2) and (3,4)	$(0, - 2)$ and $(3, 4)$
49759	関数演算を解く	f(x)=-(x+2)^2+3 if x!=-1; -4 if x=-1 Find f(1)	$f (x) = {\begin{cases} - {(x + 2)}^{2} + 3 & x \neq - 1 \\ - 4 & x = - 1 \end{cases}$ Find $f (1)$
49760	漸近線を求める	((x^2+x-5)/(7x^3+7x^2+4x-2))	$(\frac{x^{2} + x - 5}{7 x^{3} + 7 x^{2} + 4 x - 2})$
49761	漸近線を求める	f(x)=-2/(3(x-5))+4	$f (x) = - \frac{2}{3 (x - 5)} + 4$
49762	傾きを求める	The slope of the line passing through the points (-6,4) and (-6,12) is	The slope of the line passing through the points $(- 6, 4)$ and $(- 6, 12)$ is
49763	傾きを求める	(-7,-4) and (-11,-2)	$(- 7, - 4)$ and $(- 11, - 2)$
49764	関数演算を解く	f(x)=x+9 if x<-5; 2 if x=-5; -x-1 if x>-5 Find f(-7)	$f (x) = {\begin{cases} x + 9 & x < - 5 \\ 2 & x = - 5 \\ - x - 1 & x > - 5 \end{cases}$ Find $f (- 7)$
49765	漸近線を求める	f(x)=a/(x-b)-c	$f (x) = \frac{a}{x - b} - c$
49766	関数演算を解く	f(x)=-x-7 if x!=-2; 0 if x=-2 Find f(-2)	$f (x) = {\begin{cases} - x - 7 & x \neq - 2 \\ 0 & x = - 2 \end{cases}$ Find $f (- 2)$
49767	定義域を求める	F(x)=(9-x^2)/(x+3)	$F (x) = \frac{9 - x^{2}}{x + 3}$
49768	関数演算を解く	Given that f(x)=x^2+8x-20 and g(x)=x-2 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} + 8 x - 20$ and $g (x) = x - 2$ ; find $f (x) \div g (x)$ and express the result in standard form.
49769	関数演算を解く	f(x)=-(x-6)^2+7 if x!=3; 2 if x=3 Find f(3)	$f (x) = {\begin{cases} - {(x - 6)}^{2} + 7 & x \neq 3 \\ 2 & x = 3 \end{cases}$ Find $f (3)$
49770	漸近線を求める	y=csc(2x)	$y = \csc (2 x)$
49771	関数演算を解く	Given that f(x)=x^2-13x+36 and g(x)=x-9 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 36$ and $g (x) = x - 9$ ; find $(f - g) (x)$ and express the result in standard form.
49772	関数演算を解く	Given that f(x)=x^2-4x-12 and g(x)=x-6 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 4 x - 12$ and $g (x) = x - 6$ ; find $(f \cdot g) (x)$ and express the result in standard form.
49773	定義域を求める	f(x) = square root of x^2	$f (x) = \sqrt{x^{2}}$
49774	定義域を求める	1/(a^2+ab)+1/(ab+b^2)	$\frac{1}{a^{2} + a b} + \frac{1}{a b + b^{2}}$
49775	定義域を求める	t/( t^2-45)の平方根	$\frac{t}{\sqrt{t^{2} - 45}}$
49776	傾きを求める	(-10,-4) and (10,-29)	$(- 10, - 4)$ and $(10, - 29)$
49777	漸近線を求める	f(x)=(x^2+x-2)/((x+2)(x^2-2x-15))	$f (x) = \frac{x^{2} + x - 2}{(x + 2) (x^{2} - 2 x - 15)}$
49778	関数演算を解く	f(x)=(x+7)^(1/2) ; find f^-1(x)	$f (x) = {(x + 7)}^{\frac{1}{2}}$ ; find $f^{- 1} (x)$
49779	漸近線を求める	(3x^3-5)/(x^2-4)	$\frac{3 x^{3} - 5}{x^{2} - 4}$
49780	最大公約数を求める	14 and 21	$14$ and $21$
49781	漸近線を求める	y=((x-7)(x-3))/(x^2-10x+21)	$y = \frac{(x - 7) (x - 3)}{x^{2} - 10 x + 21}$
49782	関数演算を解く	If P(x)=x^2+x+2 ; find P(7)	If $P (x) = x^{2} + x + 2$ ; find $P (7)$
49783	傾きを求める	(-10,-8) and (-8,-16)	$(- 10, - 8)$ and $(- 8, - 16)$
49784	関数演算を解く	f(x)=3x^2-4x-1 g(x)=-2x+5 Find: (gof)(x)	$f (x) = 3 x^{2} - 4 x - 1$ $g (x) = - 2 x + 5$ Find: $((g \circ f)) (x)$
49785	因数定理を用いて因数を求める	x^3+x^2-5x+3 , x-1	$x^{3} + x^{2} - 5 x + 3$ , $x - 1$
49786	漸近線を求める	(3(3x+1)(x-7))/(x(3x+1))	$\frac{3 (3 x + 1) (x - 7)}{x (3 x + 1)}$
49787	関数演算を解く	If f(x)=1/x and g(x)=3x+2 find (fog)(2)	If $f (x) = \frac{1}{x}$ and $g (x) = 3 x + 2$ find $((f \circ g)) (2)$
49788	傾きを求める	Find the slope of the line that passes through the points (2,4) and (6,12)	Find the slope of the line that passes through the points $(2, 4)$ and $(6, 12)$
49789	関数演算を解く	Given that f(x)=x^2-13x+30 and g(x)=x-3 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 30$ and $g (x) = x - 3$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
49790	関数演算を解く	f(x)=9(x+1) ; find f^-1(x)	$f (x) = 9 (x + 1)$ ; find $f^{- 1} (x)$
49791	定義域を求める	(a^2-25)/(a+3)*1/(a^2+5a)-(a+5)/(a^2-3a)	$\frac{a^{2} - 25}{a + 3} \cdot \frac{1}{a^{2} + 5 a} - \frac{a + 5}{a^{2} - 3 a}$
49792	振幅を求める	v=-4i+5j	$v = - 4 i + 5 j$
49793	関数演算を解く	Add 5/(2x+1)+8/(4x+2) ; with x!=-1/2	Add $\frac{5}{2 x + 1} + \frac{8}{4 x + 2}$ ; with $x \neq - \frac{1}{2}$
49794	漸近線を求める	(x^2-3x-4)/(1-3x-4x^2)	$\frac{x^{2} - 3 x - 4}{1 - 3 x - 4 x^{2}}$
49795	関数演算を解く	x+4)/7 ; find f^-1(x)の立方根f(x)=(	$f (x) = \frac{\sqrt[3]{x + 4}}{7}$ ; find $f^{- 1} (x)$
49796	最大公約数を求める	35 and 50	$35$ and $50$
49797	定義域を求める	(2-6/x)/(1-4/x)	$\frac{2 - \frac{6}{x}}{1 - \frac{4}{x}}$
49798	定義域を求める	(x^3-y^3)/(x+y)*(x^2-y^2)/(x^2+xy+y^2)	$\frac{x^{3} - y^{3}}{x + y} \cdot \frac{x^{2} - y^{2}}{x^{2} + x y + y^{2}}$
49799	関数演算を解く	f(x)=3x-1 g(x)=x^2-x Find (f/g)(x)	$f (x) = 3 x - 1$ $g (x) = x^{2} - x$ Find $(\frac{f}{g}) (x)$
49800	漸近線を求める	(x-4)/(2(x-1)(x-4))	$\frac{x - 4}{2 (x - 1) (x - 4)}$