Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190301	Describe the Transformation	y=-f(x-4)	$y = - f (x - 4)$
190302	Simplify	x/(2x^2)	$\frac{x}{2 x^{2}}$
190303	Evaluate	2sin((3pi)/2)	$2 \sin (\frac{3 π}{2})$
190304	Solve for x	-10-1/2(-5x-1)-7x=-4(-5x+3/2)	$- 10 - \frac{1}{2} (- 5 x - 1) - 7 x = - 4 (- 5 x + \frac{3}{2})$
190305	Solve for x	square root of 2x-1 = square root of 1-2x	$\sqrt{2 x - 1} = \sqrt{1 - 2 x}$
190306	Solve for x	(1-2x)(1-3x)=(5x-1)x-2(2x-5)	$(1 - 2 x) (1 - 3 x) = (5 x - 1) x - 2 (2 x - 5)$
190307	Solve for M	M^2-3M+2=0	$M^{2} - 3 M + 2 = 0$
190308	Write the Fraction in Simplest Form	(cot(t))/(csc(t)-sin(t))	$\frac{\cot (t)}{\csc (t) - \sin (t)}$
190309	Expand the Logarithmic Expression	log base 4 of 2x^2(x+1)	$\log_{4} (2 x^{2}) (x + 1)$
190310	Graph	D(x)=1/36(x-60)^2-100	$D (x) = \frac{1}{36} {(x - 60)}^{2} - 100$
190311	Find All Complex Solutions	tan(theta)^2=-3/2sec(theta)	$\tan^{2} (θ) = - \frac{3}{2} \sec (θ)$
190312	Find the Symmetry	x=\|y\|	$x = \| y \|$
190313	Solve for x	1/(x+3)+(x+7)/(x-1)=(3x+5)/(x^2+2x-3)	$\frac{1}{x + 3} + \frac{x + 7}{x - 1} = \frac{3 x + 5}{x^{2} + 2 x - 3}$
190314	Solve for v	4v-13-10v=12-24v+5	$4 v - 13 - 10 v = 12 - 24 v + 5$
190315	Simplify	( square root of 2)/(- square root of 2)	$\frac{\sqrt{2}}{- \sqrt{2}}$
190316	Solve the Inequality for x	2(x-4)<=2+3(x-6)	$2 (x - 4) \leq 2 + 3 (x - 6)$
190317	Simplify	( square root of b)/( square root of b-3)	$\frac{\sqrt{b}}{\sqrt{b} - 3}$
190318	Find the Exact Value	3+1/2	$3 + \frac{1}{2}$
190319	Solve for x	x-8/3x=-10	$x - \frac{8}{3} x = - 10$
190320	Solve for c	8c+29c-22c+14c-4=-33	$8 c + 29 c - 22 c + 14 c - 4 = - 33$
190321	Evaluate	-6(b+2)+8	$- 6 (b + 2) + 8$
190322	Find the Roots (Zeros)	g(x)=(x+3)/(x^2+2x-3)	$g (x) = \frac{x + 3}{x^{2} + 2 x - 3}$
190323	Convert to Interval Notation	3/(x-1)-4/x>=1	$\frac{3}{x - 1} - \frac{4}{x} \geq 1$
190324	Factor	x^(3/2)+125y^(9/2)	$x^{\frac{3}{2}} + 125 y^{\frac{9}{2}}$
190325	Solve for x	6+ cube root of x-4=9	$6 + \sqrt[3]{x - 4} = 9$
190326	Evaluate	(3^2)÷3+2^2*7-20÷5	$3^{2} \div 3 + 2^{2} \cdot 7 - 20 \div 5$
190327	Graph Using a Table of Values	(1/5)^x	${(\frac{1}{5})}^{x}$
190328	Solve for v	-6(v+1)=2(1-3v)-7	$- 6 (v + 1) = 2 (1 - 3 v) - 7$
190329	Solve for a	(x^(1/5))/( fifth root of x^6)=x^a	$\frac{x^{\frac{1}{5}}}{\sqrt[5]{x^{6}}} = x^{a}$
190330	Solve for m	4+ square root of -3m+10=m	$4 + \sqrt{- 3 m + 10} = m$
190331	Evaluate	((7-2^2)+17)/(-14+2*5)	$\frac{(7 - 2^{2}) + 17}{- 14 + 2 \cdot 5}$
190332	Find the Quotient	(x^4-3x^2+2)/(x-2)	$\frac{x^{4} - 3 x^{2} + 2}{x - 2}$
190333	Evaluate	cos(2)(pi/4)	$\cos (2) (\frac{π}{4})$
190334	Solve for y	C=2(y-k)	$C = 2 (y - k)$
190335	Solve for x	(2x+5)/6+(x+3)/8=(x-1)/24	$\frac{2 x + 5}{6} + \frac{x + 3}{8} = \frac{x - 1}{24}$
190336	Find a,b,c	x(x^2+3x-10)=0	$x (x^{2} + 3 x - 10) = 0$
190337	Graph	y>4 y<\|x-1\|	$y > 4$ $y < \| x - 1 \|$
190338	Solve the Inequality for x	x/2+5>1	$\frac{x}{2} + 5 > 1$
190339	Solve for x	3/(2x-5)=x	$\frac{3}{2 x - 5} = x$
190340	Solve for a	1+2 = square root of a-1	$1 + 2 = \sqrt{a - 1}$
190341	Evaluate	e^(pii)	$e^{π i}$
190342	Find the Domain and Range	f(x)=(x^3)/4-1	$f (x) = \frac{x^{3}}{4} - 1$
190343	Solve for x	square root of x+2=2- square root of x	$\sqrt{x + 2} = 2 - \sqrt{x}$
190344	Simplify	(x^2y)(x^3y^4)	$(x^{2} y) (x^{3} y^{4})$
190345	Simplify	(3x^3-27y^3)/(x^2+3xy+9y^2)	$\frac{3 x^{3} - 27 y^{3}}{x^{2} + 3 x y + 9 y^{2}}$
190346	Find the Distance Between Two Points	(1,3) and (-8,-6)	$(1, 3)$ and $(- 8, - 6)$
190347	Solve for θ	sin(theta)=-1/( square root of 2)	$\sin (θ) = - \frac{1}{\sqrt{2}}$
190348	Solve the Rational Equation for x	(25-3x)/(x+5)=1	$\frac{25 - 3 x}{x + 5} = 1$
190349	Reduce	a+b-c-b-c+2c-a	$a + b - c - b - c + 2 c - a$
190350	Graph	p(x)=(x+2)(2x+7)(x-1)(x-3)	$p (x) = (x + 2) (2 x + 7) (x - 1) (x - 3)$
190351	Find the Holes in the Graph	(2x^2+10x+12)/(x^2+3x+2)	$\frac{2 x^{2} + 10 x + 12}{x^{2} + 3 x + 2}$
190352	Find the Domain and Range	(x+1)/x	$\frac{x + 1}{x}$
190353	Multiply	((2x+2)/(4x-8))((3x-6)/(2x+2))	$(\frac{2 x + 2}{4 x - 8}) (\frac{3 x - 6}{2 x + 2})$
190354	Solve for x	343^(4x+9)=(1/49)^(-3x+9)	$343^{4 x + 9} = {(\frac{1}{49})}^{- 3 x + 9}$
190355	Solve Using the Quadratic Formula	1+(x^2-5x-24)/(3x)=(x-6)/(3x)	$1 + \frac{x^{2} - 5 x - 24}{3 x} = \frac{x - 6}{3 x}$
190356	Solve for a	(x^5)/( cube root of x^2)=x^a	$\frac{x^{5}}{\sqrt[3]{x^{2}}} = x^{a}$
190357	Simplify	( square root of 4+2 square root of 3- square root of 4-2 square root of 3)( square root of 4-2 square root of 3+ square root of 4+2 square root of 3)	$(\sqrt{4 + 2 \sqrt{3}} - \sqrt{4 - 2 \sqrt{3}}) (\sqrt{4 - 2 \sqrt{3}} + \sqrt{4 + 2 \sqrt{3}})$
190358	Convert to a Decimal	10deg	$10$ degrees
190359	Solve for x	-6+2/5(-1/2x+5)+3x=-5+3/5x	$- 6 + \frac{2}{5} (- \frac{1}{2} x + 5) + 3 x = - 5 + \frac{3}{5} x$
190360	Evaluate	natural log of sixth root of e^4	$\ln (\sqrt[6]{e^{4}})$
190361	Solve the Inequality for x	-10+4x>50	$- 10 + 4 x > 50$
190362	Evaluate	3(3/5)^1	$3 {(\frac{3}{5})}^{1}$
190363	Solve for x	square root of 3sec(x)=-2	$\sqrt{3} \sec (x) = - 2$
190364	Solve for m	10-3(m-2)=8	$10 - 3 (m - 2) = 8$
190365	Simplify the Radical Expression	square root of 6* square root of 6	$\sqrt{6} \cdot \sqrt{6}$
190366	Solve for x	((x+4)(x-2))/(9(x-2))=(x+4)/9	$\frac{(x + 4) (x - 2)}{9 (x - 2)} = \frac{x + 4}{9}$
190367	Find the x and y Intercepts	P(x)=-x^2+4x	$P (x) = - x^{2} + 4 x$
190368	Solve the Inequality for x	4x^3-6x^2<0	$4 x^{3} - 6 x^{2} < 0$
190369	Solve for b	y=1/2x+b	$y = \frac{1}{2} x + b$
190370	Factor	(4x^2-16x+16)m^2	$(4 x^{2} - 16 x + 16) m^{2}$
190371	Solve for x	3/(x+8)+(x+2)/(x+9)=7/(x^2+17x+72)	$\frac{3}{x + 8} + \frac{x + 2}{x + 9} = \frac{7}{x^{2} + 17 x + 72}$
190372	Write in Standard Form	(2x-1)^3	${(2 x - 1)}^{3}$
190373	Divide	x^3+5x^2+5x-3 by x+3	$x^{3} + 5 x^{2} + 5 x - 3$ by $x + 3$
190374	Multiply	(x-3)/(x+7)*(2x)/(x-3)	$\frac{x - 3}{x + 7} \cdot \frac{2 x}{x - 3}$
190375	Simplify	((x/2)-3)/(9(x/2)-5)	$\frac{(\frac{x}{2}) - 3}{9 (\frac{x}{2}) - 5}$
190376	Simplify	1/3(12-9y)	$\frac{1}{3} (12 - 9 y)$
190377	Solve for x	8^(x^2-14/3x)=32	$8^{x^{2} - \frac{14}{3} x} = 32$
190378	Find the Function	f(x) = square root of x-3	$f (x) = \sqrt{x} - 3$
190379	Solve for y	(3y+12)/4=2-(5y-7)/3	$\frac{3 y + 12}{4} = 2 - \frac{5 y - 7}{3}$
190380	Simplify	( square root of 1)/( square root of 2)	$\frac{\sqrt{1}}{\sqrt{2}}$
190381	Graph	-1/2(x+2)(x+1)^2(x-1)	$- \frac{1}{2} (x + 2) {(x + 1)}^{2} (x - 1)$
190382	Find the Excluded Values	(5x-10)/(x^2-36)*(4x+24)/(x^2+5x-14)	$\frac{5 x - 10}{x^{2} - 36} \cdot \frac{4 x + 24}{x^{2} + 5 x - 14}$
190383	Solve for x	2/(x-1)+3/(x-3)=2	$\frac{2}{x - 1} + \frac{3}{x - 3} = 2$
190384	Simplify	x^(3/2)( square root of x-1 square root of x)	$x^{\frac{3}{2}} (\sqrt{x} - 1 \sqrt{x})$
190385	Solve for x	(1/2)^(x+2)=16^(-x)	${(\frac{1}{2})}^{x + 2} = 16^{- x}$
190386	Solve the Absolute Value Inequality for v	4\|v-2\|-3=25	$4 \| v - 2 \| - 3 = 25$
190387	Graph	y=1/2cos(4theta-(5pi)/6)-2	$y = \frac{1}{2} \cos (4 θ - \frac{5 π}{6}) - 2$
190388	Simplify the Radical Expression	7/(3- square root of 2)	$\frac{7}{3 - \sqrt{2}}$
190389	Solve for x	3-4x+2=13	$3 - 4 x + 2 = 13$
190390	Simplify	( square root of x^5y^3)/(x^2y^3)	$\frac{\sqrt{x^{5} y^{3}}}{x^{2} y^{3}}$
190391	Solve the System of Equations	2x+3y=4 and y=4-x	$2 x + 3 y = 4$ and $y = 4 - x$
190392	Divide	(x^3+2x^2-1)÷(x^2+x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} + x + 1)$
190393	Expand Using the Binomial Theorem	(x+3/2)^12	${(x + \frac{3}{2})}^{12}$
190394	Solve the Inequality for x	100x^2-20x+1<0	$100 x^{2} - 20 x + 1 < 0$
190395	Combine Like Terms	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
190396	Find All Complex Solutions	2sin(theta)+3=2	$2 \sin (θ) + 3 = 2$
190397	Solve for m	30m^2=216-m^4	$30 m^{2} = 216 - m^{4}$
190398	Evaluate	(1/3)^x=27^(x+2)	${(\frac{1}{3})}^{x} = 27^{x + 2}$
190399	Solve the Inequality for x	11<=5+x	$11 \leq 5 + x$
190400	Evaluate	1-e^-3	$1 - e^{- 3}$