Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171401	Simplify	((4m-2n^8)/(9m-6n-8))^(1/2)	${(\frac{4 m - 2 n^{8}}{9 m - 6 n - 8})}^{\frac{1}{2}}$
171402	Factor	-7x^3y^4z^3+4z^5	$- 7 x^{3} y^{4} z^{3} + 4 z^{5}$
171403	Solve for x	9/4(8x-4+4/3x)=2-x	$\frac{9}{4} (8 x - 4 + \frac{4}{3} x) = 2 - x$
171404	Solve for x	r=x-h	$r = x - h$
171405	Graph	square root of x	$\sqrt[2]{x}$
171406	Solve the Inequality for x	1/3<=(x+1)/4<4/5	$\frac{1}{3} \leq \frac{x + 1}{4} < \frac{4}{5}$
171407	Solve for a	-1/4+3/4a=1/2	$- \frac{1}{4} + \frac{3}{4} a = \frac{1}{2}$
171408	Graph	f(x)=2x,x<1; 5,x=1; x^2,x>1	$f (x) = {\begin{cases} 2 x, x < 1 \\ 5, x = 1 \\ x^{2}, x > 1 \end{cases}$
171409	Multiply	(4x+3)*(4x^2+5x-1)	$(4 x + 3) \cdot (4 x^{2} + 5 x - 1)$
171410	Graph	f(x)=x if x>0; -1 if x=0; -3 if x<0	$f (x) = {\begin{cases} x & x > 0 \\ - 1 & x = 0 \\ - 3 & x < 0 \end{cases}$
171411	Solve for x	x+10=x^2+2x+1	$x + 10 = x^{2} + 2 x + 1$
171412	Solve the Inequality for x	(x+10)/3>=2x	$\frac{x + 10}{3} \geq 2 x$
171413	Find the Domain and Range	w(x)=-(3x)^(1/2)-4	$w (x) = - {(3 x)}^{\frac{1}{2}} - 4$
171414	Write as a Single Logarithm	log base b of 9-2 log base b of 3	$\log_{b} (9) - 2 \log_{b} (3)$
171415	Solve for x	2x-(x-2)/2=x/3-6	$2 x - \frac{x - 2}{2} = \frac{x}{3} - 6$
171416	Solve for x	3-(2x-5)<-4(x+2)	$3 - (2 x - 5) < - 4 (x + 2)$
171417	Solve for x	(3x)/4-6=x/4	$\frac{3 x}{4} - 6 = \frac{x}{4}$
171418	Find the Product	(a+b)(a^2-ab+b^2)	$(a + b) (a^{2} - a b + b^{2})$
171419	Solve for r	4(3r+4)=-8(2r+5)	$4 (3 r + 4) = - 8 (2 r + 5)$
171420	Simplify	(81/16)^(-3/4)	${(\frac{81}{16})}^{- \frac{3}{4}}$
171421	Find the Remainder	(-7x^4+20x^2+10+5x^3)÷(-x^2+x+3)	$(- 7 x^{4} + 20 x^{2} + 10 + 5 x^{3}) \div (- x^{2} + x + 3)$
171422	Solve the Inequality for x	3(x-3)<=2(x+2)	$3 (x - 3) \leq 2 (x + 2)$
171423	Simplify	(5 square root of -70)( square root of 40)	$(5 \sqrt{- 70}) (\sqrt{40})$
171424	Divide	(9/10)÷(-4/5)	$\frac{9}{10} \div (- \frac{4}{5})$
171425	Simplify	(q^2-2q+5)(q^2-5)	$(q^{2} - 2 q + 5) (q^{2} - 5)$
171426	Subtract	11b^2-4b+7 from b^2+8b-9	$11 b^{2} - 4 b + 7$ from $b^{2} + 8 b - 9$
171427	Simplify	3/(2x)+5/(x-2)	$\frac{3}{2 x} + \frac{5}{x - 2}$
171428	Solve for x	6(x+1)-10=4(x-1)+2x	$6 (x + 1) - 10 = 4 (x - 1) + 2 x$
171429	Solve the System of Inequalities	-17<=4x-1 or 43>=4x-1	$- 17 \leq 4 x - 1$ or $43 \geq 4 x - 1$
171430	Solve the Absolute Value Inequality for q	\|q-8\|=14	$\| q - 8 \| = 14$
171431	Solve for z	3/4=z-1/2	$\frac{3}{4} = z - \frac{1}{2}$
171432	Solve for a	a/2=a+4	$\frac{a}{2} = a + 4$
171433	Simplify	(x^2+7x+10)/(x^2+4x+4)*(x^2+3x+2)/(x^2+6x+5)	$\frac{x^{2} + 7 x + 10}{x^{2} + 4 x + 4} \cdot \frac{x^{2} + 3 x + 2}{x^{2} + 6 x + 5}$
171434	Evaluate	1/4*2pi	$\frac{1}{4} \cdot 2 π$
171435	Solve for aₙ	S=(n(a_1+a_n))/2	$S = \frac{n (a_{1} + a_{n})}{2}$
171436	Simplify	- square root of 16+ square root of -200+ square root of 25+ square root of -2	$- \sqrt{16} + \sqrt{- 200} + \sqrt{25} + \sqrt{- 2}$
171437	Solve the Absolute Value Inequality for x	\|2x+5\|=3x+4	$\| 2 x + 5 \| = 3 x + 4$
171438	Evaluate	tan(105 degrees )	$\tan (105 °)$
171439	Evaluate	(5-x)^2	${(5 - x)}^{2}$
171440	Solve for x	f(x)=7	$f (x) = 7$
171441	Solve for x	24/(x-3)=(32x^2)/(x^2-9)-(16x)/(x+3)	$\frac{24}{x - 3} = \frac{32 x^{2}}{x^{2} - 9} - \frac{16 x}{x + 3}$
171442	Simplify the Radical Expression	2 square root of x*4x^(-5/2)	$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$
171443	Subtract	7/(4x-1)-5/(4x-1)	$\frac{7}{4 x - 1} - \frac{5}{4 x - 1}$
171444	Solve for b	1^2+b^2=2^2	$1^{2} + b^{2} = 2^{2}$
171445	Simplify	2-11x^2-8x+6x^2	$2 - 11 x^{2} - 8 x + 6 x^{2}$
171446	Evaluate	6/(2pi)	$\frac{6}{2 π}$
171447	Solve the Absolute Value Inequality for x	\|x-9\|<5	$\| x - 9 \| < 5$
171448	Simplify	((5m^4k^-1)^-4)/(2m^-3k^-9)	$\frac{{(5 m^{4} k^{- 1})}^{- 4}}{2 m^{- 3} k^{- 9}}$
171449	Solve for x	x^2=x+30	$x^{2} = x + 30$
171450	Simplify	2 square root of 3( square root of 27-8 square root of 6)	$2 \sqrt{3} (\sqrt{27} - 8 \sqrt{6})$
171451	Solve for x	\|x^2+x-6\|<6	$\| x^{2} + x - 6 \| < 6$
171452	Solve the Inequality for x	x/(x-3)>0	$\frac{x}{x - 3} > 0$
171453	Divide	(-3/2)÷(-10/7)	$\frac{- 3}{2} \div \frac{- 10}{7}$
171454	Solve the System of Equations	4x-10y=0 4x-9y=-2	$4 x - 10 y = 0$ $4 x - 9 y = - 2$
171455	Graph	x<=y^2	$x \leq y^{2}$
171456	Solve the Inequality for x	4(x+3)>-24	$4 (x + 3) > - 24$
171457	Solve for x	square root of x-4+5=2	$\sqrt{x - 4} + 5 = 2$ ?
171458	Simplify	5/(2x^2+5x-3)-3/(2x^2-11x+5)	$\frac{5}{2 x^{2} + 5 x - 3} - \frac{3}{2 x^{2} - 11 x + 5}$
171459	Simplify	((-2x)^3(-x)^2)/((2x)^2)	$\frac{{(- 2 x)}^{3} {(- x)}^{2}}{{(2 x)}^{2}}$
171460	Write in Standard Form	(5+w)(w+4)	$(5 + w) (w + 4)$
171461	Simplify	2/(x+3)-x/(x-1)+(x^2+2)/(x^2+2x-3)	$\frac{2}{x + 3} - \frac{x}{x - 1} + \frac{x^{2} + 2}{x^{2} + 2 x - 3}$
171462	Find the Product	(t-7)(t+7)	$(t - 7) (t + 7)$
171463	Describe the Transformation	g(x)=f(x-4)	$g (x) = f (x - 4)$
171464	Solve the Inequality for n	3^(2n)>=6^(n+1)	$3^{2 n} \geq 6^{n + 1}$
171465	Identify the Conic	4x^2-16x+4y^2+24y+36=0	$4 x^{2} - 16 x + 4 y^{2} + 24 y + 36 = 0$
171466	Solve for a	2(a-2)=-(a-1)/(a-4)	$2 (a - 2) = - \frac{a - 1}{a - 4}$
171467	Factor	(2x+4)	$(2 x + 4)$
171468	Graph	7y>=-5x	$7 y \geq - 5 x$
171469	Solve the Inequality for x	6/(x-1)-6/x>=1	$\frac{6}{x - 1} - \frac{6}{x} \geq 1$
171470	Solve for x	Solve \|x+10\|=4x-8	Solve $\| x + 10 \| = 4 x - 8$
171471	Graph	f(x)=-2x^3-4x^2+6x	$f (x) = - 2 x^{3} - 4 x^{2} + 6 x$
171472	Write in Standard Form	x^2=3x+10	$x^{2} = 3 x + 10$
171473	Solve for x	\|2x+3/4\|=5 6/7	$\| 2 x + \frac{3}{4} \| = 5 \frac{6}{7}$
171474	Graph Using a Table of Values	f(x)=1	$f (x) = 1$
171475	Solve for c	6/11c+5/7=-2/7	$\frac{6}{11} c + \frac{5}{7} = - \frac{2}{7}$
171476	Solve the Inequality for x	x^2-x<6	$x^{2} - x < 6$
171477	Find the Roots (Zeros)	2x^2+1=5x	$2 x^{2} + 1 = 5 x$
171478	Solve Using the Quadratic Formula	3x-5	$3 x - 5$
171479	Solve the System of Equations	y=5/2x+2 2y=5x+4	$y = \frac{5}{2} x + 2$ $2 y = 5 x + 4$
171480	Simplify	1/(2 square root of 5+2)-1/(2 square root of 5-2)	$\frac{1}{2 \sqrt{5} + 2} - \frac{1}{2 \sqrt{5} - 2}$
171481	Simplify	(25-4x^2)/(6x^2+9x-15)*(6x^2-2x-4)/(2x^2-x-10)	$\frac{25 - 4 x^{2}}{6 x^{2} + 9 x - 15} \cdot \frac{6 x^{2} - 2 x - 4}{2 x^{2} - x - 10}$
171482	Multiply	(-t^7)(-t^5)	$(- t^{7}) (- t^{5})$
171483	Graph Using a Table of Values	f(x)=(2x-3)/(-x+3)	$f (x) = \frac{2 x - 3}{- x + 3}$
171484	Graph	y=-3x^4-2	$y = - 3 x^{4} - 2$
171485	Simplify	(6h^10u^4)/((-2h^-4u^3)^3)	$\frac{6 h^{10} u^{4}}{{(- 2 h^{- 4} u^{3})}^{3}}$
171486	Simplify	(20b^-8r^-9)/((5b^4r^-5)^-2)	$\frac{20 b^{- 8} r^{- 9}}{{(5 b^{4} r^{- 5})}^{- 2}}$
171487	Solve for x	x^2-3/4x=5	$x^{2} - \frac{3}{4} x = 5$
171488	Solve for b	12=-8b	$12 = - 8 b$
171489	Solve the Inequality for x	14<12+x	$14 < 12 + x$
171490	Simplify	(4t^9s)/((2t^4s^-3)^-3)	$\frac{4 t^{9} s}{{(2 t^{4} s^{- 3})}^{- 3}}$
171491	Graph	1-1/x	$1 - \frac{1}{x}$
171492	Find the Roots (Zeros)	x^2(5x-7)(3x+2)=0	$x^{2} (5 x - 7) (3 x + 2) = 0$
171493	Evaluate	2^(3x)=10	$2^{3 x} = 10$
171494	Simplify	1/x+x	$\frac{1}{x} + x$
171495	Simplify	(2m^6+6m)/(3m^14+12m^9+9m^4)	$\frac{2 m^{6} + 6 m}{3 m^{14} + 12 m^{9} + 9 m^{4}}$
171496	Evaluate	(3+1/4)-(2+1/6)	$(3 + \frac{1}{4}) - (2 + \frac{1}{6})$
171497	Simplify	(6 square root of -54)(-5 square root of 7)	$(6 \sqrt{- 54}) (- 5 \sqrt{7})$
171498	Find All Complex Solutions	\|2x-1\|=3	$\| 2 x - 1 \| = 3$
171499	Solve the Absolute Value Inequality for w	3\|4w-1\|-5=10	$3 \| 4 w - 1 \| - 5 = 10$
171500	Solve for x	-(-2-5x)+(-2)=18	$- (- 2 - 5 x) + (- 2) = 18$