Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
168301	Solve for x	(2x-3)/(x-3)=(x-2)/(x-1)	$\frac{2 x - 3}{x - 3} = \frac{x - 2}{x - 1}$
168302	Factor	5x^2+10x=0	$5 x^{2} + 10 x = 0$
168303	Simplify	((x^2-2x)/(x^2+3x-10))÷((x-5)/(x+5))	$\frac{x^{2} - 2 x}{x^{2} + 3 x - 10} \div \frac{x - 5}{x + 5}$
168304	Find the LCD	6/(x^2-3x-10) and -1/(x^2-36)	$\frac{6}{x^{2} - 3 x - 10}$ and $\frac{- 1}{x^{2} - 36}$
168305	Solve for x	3/x+3/(x-4)=(3x-9)/(x-4)	$\frac{3}{x} + \frac{3}{x - 4} = \frac{3 x - 9}{x - 4}$
168306	Simplify	(2+7i)/(3-3i)	$\frac{2 + 7 i}{3 - 3 i}$
168307	Simplify	7-(3+4i)+6i	$7 - (3 + 4 i) + 6 i$
168308	Solve for x	\|6x+72\|=12x	$\| 6 x + 72 \| = 12 x$
168309	Graph	y<=x^2+4x+3	$y \leq x^{2} + 4 x + 3$
168310	Find All Complex Solutions	sin(x)^2=2-2cos(x)	$\sin^{2} (x) = 2 - 2 \cos (x)$
168311	Find the Exact Value	square root of 12	$\sqrt{12}$
168312	Solve for v	2(v+2)+v=3(v-1)+6	$2 (v + 2) + v = 3 (v - 1) + 6$
168313	Find All Complex Solutions	x^2=12	$x^{2} = 12$
168314	Simplify	cube root of 6(5+ cube root of 12)	$\sqrt[3]{6} (5 + \sqrt[3]{12})$
168315	Graph	f(x)=-3-x if x<=2; -6+2x if x>2	$f (x) = {\begin{cases} - 3 - x & x \leq 2 \\ - 6 + 2 x & x > 2 \end{cases}$
168316	Write in Standard Form	(3x+1)^3	${(3 x + 1)}^{3}$
168317	Solve the System of Equations	y=-8x-3 x+y=7	$y = - 8 x - 3$ $x + y = 7$
168318	Subtract	2/3-4	$\frac{2}{3} - 4$
168319	Subtract	(-w^3+8w^2-3w)-(4w^2+5w-7)	$(- w^{3} + 8 w^{2} - 3 w) - (4 w^{2} + 5 w - 7)$
168320	Simplify	2(4i^2)+22	$2 (4 i^{2}) + 22$
168321	Graph	f(x)+g(x)	$f (x) + g (x)$
168322	Find All Complex Solutions	2cos(x)^2+3cos(x)+1=0	$2 \cos^{2} (x) + 3 \cos (x) + 1 = 0$
168323	Solve for x	20+2x=x+56	$20 + 2 x = x + 56$
168324	Find the Axis of Symmetry	f(x)=x^3	$f (x) = x^{3}$
168325	Solve the System of Equations	x-y=3 7x-y=-3	$x - y = 3$ $7 x - y = - 3$
168326	Solve for u	square root of u=6	$\sqrt{u} = 6$
168327	Solve for x	2(x+2)+2=2(x+3)+1	$2 (x + 2) + 2 = 2 (x + 3) + 1$
168328	Factor	-15x^3y^4z^2-3xz^5	$- 15 x^{3} y^{4} z^{2} - 3 x z^{5}$
168329	Solve for z	(2z-12)^(1/3)-10=-12	${(2 z - 12)}^{\frac{1}{3}} - 10 = - 12$
168330	Simplify	(4x^-2)/((3y)^-3)	$\frac{4 x^{- 2}}{{(3 y)}^{- 3}}$
168331	Convert to Interval Notation	4<=x	$4 \leq x$
168332	Solve for v	-1/6v=-2-2/3v+4/3v	$- \frac{1}{6} v = - 2 - \frac{2}{3} v + \frac{4}{3} v$
168333	Graph	3x+4y<x-y+2	$3 x + 4 y < x - y + 2$
168334	Graph	y>=- square root of 6x	$y \geq - \sqrt{6 x}$
168335	Solve for r	A=2pir(r+h)	$A = 2 π r (r + h)$
168336	Multiply	-1*1/3	$- 1 \cdot \frac{1}{3}$
168337	Combine Like Terms	7+5x^2-x^3-3+1-4x^3-7x^2	$7 + 5 x^{2} - x^{3} - 3 + 1 - 4 x^{3} - 7 x^{2}$
168338	Find All Complex Solutions	2cos(x)^2-sin(x)-1=0	$2 \cos^{2} (x) - \sin (x) - 1 = 0$
168339	Evaluate	(6x)^2	${(6 x)}^{2}$
168340	Simplify	( square root of 25)/( square root of -75)	$\frac{\sqrt{25}}{\sqrt{- 75}}$
168341	Simplify	(8x^6y^-15z^3)^(2/3)*(49x^-2y^8z^2)^(-1/2)	${(8 x^{6} y^{- 15} z^{3})}^{\frac{2}{3}} \cdot {(49 x^{- 2} y^{8} z^{2})}^{- \frac{1}{2}}$
168342	Simplify	(-3^2x^6)^5	${(- 3^{2} x^{6})}^{5}$
168343	Solve the Inequality for x	(x+2)^2(x+8)(x-6)<0	${(x + 2)}^{2} (x + 8) (x - 6) < 0$
168344	Solve for h	x/h+1=-2	$\frac{x}{h} + 1 = - 2$
168345	Factor	y=x^2+2x-3	$y = x^{2} + 2 x - 3$
168346	Find the Domain and Range	x/(x+1)	$\frac{x}{x + 1}$
168347	Solve for d	-1/2d+3/8-d=1/4+3/4d+2	$- \frac{1}{2} d + \frac{3}{8} - d = \frac{1}{4} + \frac{3}{4} d + 2$
168348	Simplify	3a+7+2(3+a)	$3 a + 7 + 2 (3 + a)$
168349	Solve for w	-3+7/10w-2/10w=-2w	$- 3 + \frac{7}{10} w - \frac{2}{10} w = - 2 w$
168350	Solve for y	square root of y+1 = square root of 4y-8	$\sqrt{y + 1} = \sqrt{4 y - 8}$
168351	Solve for j	\|3j-1\|+6>0	$\| 3 j - 1 \| + 6 > 0$
168352	Write in Standard Form	-3x^2-3x+11=2x	$- 3 x^{2} - 3 x + 11 = 2 x$
168353	Find u(w(x))	u(x)=x^2+9 w(x) = square root of x+8	$u (x) = x^{2} + 9$ $w (x) = \sqrt{x + 8}$
168354	Solve for x	m(x)=4x+15 , m(x)=7	$m (x) = 4 x + 15$ , $m (x) = 7$
168355	Solve for x	x/(x-3)=(2x)/2	$\frac{x}{x - 3} = \frac{2 x}{2}$
168356	Simplify	(2x+3)/(x-9)+2	$\frac{2 x + 3}{x - 9} + 2$
168357	Solve for s	V=1/3s^2h	$V = \frac{1}{3} s^{2} h$
168358	Convert to Polar	x=-3	$x = - 3$
168359	Evaluate	cos(theta)=( square root of 2)/2	$\cos (θ) = \frac{\sqrt{2}}{2}$
168360	Simplify	(9 square root of -64)(- square root of -5)	$(9 \sqrt{- 64}) (- \sqrt{- 5})$
168361	Solve the Inequality for x	13+x>11	$13 + x > 11$
168362	Evaluate	-(0+1)^2	$- {(0 + 1)}^{2}$
168363	Multiply	-4w(w^2-9)	$- 4 w (w^{2} - 9)$
168364	Solve for x	3(x-1)+7=4x+2-3(2-x)	$3 (x - 1) + 7 = 4 x + 2 - 3 (2 - x)$
168365	Solve the Inequality for x	x^2+2x-24>0	$x^{2} + 2 x - 24 > 0$
168366	Solve for x	(x-1)/2=(3x)/4	$\frac{x - 1}{2} = \frac{3 x}{4}$
168367	Solve the Inequality for x	(4x-3)(2x-1)>=0	$(4 x - 3) (2 x - 1) \geq 0$
168368	Simplify	(a^4b^3c^-2)/(a^2b^-1c^0)	$\frac{a^{4} b^{3} c^{- 2}}{a^{2} b^{- 1} c^{0}}$
168369	Solve for x	(x-1)/(x+5)=x/(2(x+5))	$\frac{x - 1}{x + 5} = \frac{x}{2 (x + 5)}$
168370	Solve for x	(1/25)^(2x+3)=125^(9x+8)	${(\frac{1}{25})}^{2 x + 3} = 125^{9 x + 8}$
168371	Combine Like Terms	3x+2y-y+2y+x^2-2x^2-6x	$3 x + 2 y - y + 2 y + x^{2} - 2 x^{2} - 6 x$
168372	Simplify	x-2>3	$x - 2 > 3$
168373	Evaluate	(2x+3y)^3	${(2 x + 3 y)}^{3}$
168374	Graph Using a Table of Values	y=x^4	$y = x^{4}$
168375	Factor	P(x)=x^4+x^3+x^2+x	$P (x) = x^{4} + x^{3} + x^{2} + x$
168376	Simplify	((c^2-4)/(c+3))÷((c+2)/(3(c^2-9))) ?	$\frac{c^{2} - 4}{c + 3} \div \frac{c + 2}{3 (c^{2} - 9)}$ ?
168377	Simplify	(3x)/(2x)	$\frac{3 x}{2 x}$
168378	Combine Like Terms	6y^2-3y^3+6x^2+2y^3+y^3-3y^2+3y^2	$6 y^{2} - 3 y^{3} + 6 x^{2} + 2 y^{3} + y^{3} - 3 y^{2} + 3 y^{2}$
168379	Evaluate	3(4h+2k)	$3 (4 h + 2 k)$
168380	Solve for x	(5x)/7-(7x)/5=24/35	$\frac{5 x}{7} - \frac{7 x}{5} = \frac{24}{35}$
168381	Graph	y=3/2cos(x-pi/3)	$y = \frac{3}{2} \cos (x - \frac{π}{3})$
168382	Simplify	-3i*3i	$- 3 i \cdot 3 i$
168383	Simplify	(-12y^-8)/((-3y^-1)^4)	$\frac{- 12 y^{- 8}}{{(- 3 y^{- 1})}^{4}}$
168384	Solve the System of Equations	x+y=7 x-y=5	$x + y = 7$ $x - y = 5$
168385	Solve the Inequality for x	(x-7)(x+4)^2(x-1)>=0	$(x - 7) {(x + 4)}^{2} (x - 1) \geq 0$
168386	Solve for x	4(x+1)=4(2-x)	$4 (x + 1) = 4 (2 - x)$
168387	Simplify	(3-x^2)/(x^2-4)	$\frac{3 - x^{2}}{x^{2} - 4}$
168388	Solve for r	14r=-9	$14 r = - 9$
168389	Solve for C	C=5/9*(F-32)	$C = \frac{5}{9} \times (F - 32)$
168390	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2+3x-5=0	$2 x^{2} + 3 x - 5 = 0$
168391	Evaluate	(3x-2y)^2	${(3 x - 2 y)}^{2}$
168392	Graph	f(x)=-1/2(x+2)^2-3	$f (x) = - \frac{1}{2} {(x + 2)}^{2} - 3$
168393	Simplify the Radical Expression	4^(3/2)	$4^{\frac{3}{2}}$
168394	Find the Exact Value	cos(60 degrees +225 degrees )	$\cos (60 ° + 225 °)$
168395	Graph	F(x)=-2^x+3	$F (x) = - 2^{x} + 3$
168396	Simplify	square root of 180*4 square root of 2	$\sqrt{180} \cdot 4 \sqrt{2}$
168397	Simplify	(3-4i)(1+5i)-(2-i)	$(3 - 4 i) (1 + 5 i) - (2 - i)$
168398	Solve for k	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
168399	Simplify	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
168400	Graph	y=3/2cos(x+(2pi)/3)	$y = \frac{3}{2} \cos (x + \frac{2 π}{3})$