Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233301	Solve for h	B/4=V/h	$\frac{B}{4} = \frac{V}{h}$
233302	Solve for k	log of -4k = log of 3k+10	$\log (- 4 k) = \log (3 k + 10)$
233303	Find the Exact Value	cos(-540 degrees )	$\cos (- 540 °)$
233304	Evaluate	(1^2+4)*6-(5-4)	$(1^{2} + 4) \cdot 6 - (5 - 4)$
233305	Find the Roots (Zeros)	y=4x^6-12x^5-x^4+2x^3-6x^2-5x+10	$y = 4 x^{6} - 12 x^{5} - x^{4} + 2 x^{3} - 6 x^{2} - 5 x + 10$
233306	Graph	f(x)+f(x+1)=x^2+2x+3	$f (x) + f (x + 1) = x^{2} + 2 x + 3$
233307	Find the Exact Value	4/3(sin(255)+sin(15))	$\frac{4}{3} (\sin (255) + \sin (15))$
233308	Graph	y=1/2sec(2x-pi)	$y = \frac{1}{2} \sec (2 x - π)$
233309	Find the Axis of Symmetry	y=-1/12x^2	$y = - \frac{1}{12} x^{2}$
233310	Find the Exact Value	7+102^2-23	$7 + 10 \cdot 2^{2} - 2 \cdot 3$
233311	Write in Exponential Form	cube root of square root of 2x	$\sqrt[3]{\sqrt{2 x}}$
233312	Solve for x	(3x+8)/(x-4)>=0	$\frac{3 x + 8}{x - 4} \geq 0$
233313	Evaluate	-(-2)^4+8(-2)^2+5	$- {(- 2)}^{4} + 8 {(- 2)}^{2} + 5$
233314	Find the x and y Intercepts	4=x-y	$4 = x - y$
233315	Divide	(24mn^6-40m^2n^3)/(4m^2n^3)	$\frac{24 m n^{6} - 40 m^{2} n^{3}}{4 m^{2} n^{3}}$
233316	Solve for b	-95=5(1+5b)	$- 95 = 5 (1 + 5 b)$
233317	Expand the Logarithmic Expression	natural log of a^2 square root of a-1	$\ln (a^{2} \sqrt{a - 1})$
233318	Solve for b	3=3/4(b-8)	$3 = \frac{3}{4} (b - 8)$
233319	Graph	y=-1/3x+2 y+4=-4/3x	$y = - \frac{1}{3} x + 2$ $y + 4 = - \frac{4}{3} x$
233320	Multiply	(1+4x+3x^2)(2-7x-9x^2)	$(1 + 4 x + 3 x^{2}) (2 - 7 x - 9 x^{2})$
233321	Divide	(5 square root of x^7)÷( square root of x^4)	$5 \sqrt{x^{7}} \div \sqrt{x^{4}}$
233322	Write in Standard Form	y+1=(3^(x+1))^2	$y + 1 = {(3^{x + 1})}^{2}$
233323	Solve the Inequality for x	7^x> cube root of 7	$7^{x} > \sqrt[3]{7}$
233324	Simplify	1/6x+15+1/6x	$\frac{1}{6} x + 15 + \frac{1}{6} x$
233325	Graph	x<=-3 or x>=5	$x \leq - 3$ or $x \geq 5$
233326	Solve for g	1/2(6g+2)=12	$\frac{1}{2} (6 g + 2) = 12$
233327	Solve for x	x+1=4/(x+1)	$x + 1 = \frac{4}{x + 1}$
233328	Find the Roots (Zeros)	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
233329	Simplify	(2 square root of a^2b)(3 square root of b)	$(2 \sqrt{a^{2} b}) (3 \sqrt{b})$
233330	Factor	(6x+12)/10	$\frac{6 x + 12}{10}$
233331	Simplify	(x^2y+xy^2+y^3)/((x^2)/y-(y^2)/x)	$\frac{x^{2} y + x y^{2} + y^{3}}{\frac{x^{2}}{y} - \frac{y^{2}}{x}}$
233332	Find the Inverse	y=2 cube root of x-5	$y = 2 \sqrt[3]{x - 5}$
233333	Solve for v	E=1/2mv^2+mgh	$E = \frac{1}{2} m v^{2} + mg h$
233334	Multiply	(m^2-n^2)/(4m+4n)*(m+n)/(m-n)	$\frac{m^{2} - n^{2}}{4 m + 4 n} \cdot \frac{m + n}{m - n}$
233335	Solve the Inequality for g	g/5>=-2	$\frac{g}{5} \geq - 2$
233336	Simplify the Radical Expression	( square root of 2+ square root of 3)( square root of 5- square root of 7)	$(\sqrt{2} + \sqrt{3}) (\sqrt{5} - \sqrt{7})$
233337	Simplify	(17a^8b^16c^24d^2)/(3a^4d^2)	$\frac{17 a^{8} b^{16} c^{24} d^{2}}{3 a^{4} d^{2}}$
233338	Write in Standard Form	(3x^2-5x)-(x^2+4x+3)	$(3 x^{2} - 5 x) - (x^{2} + 4 x + 3)$
233339	Simplify	( cube root of 81x)/( cube root of 3)	$\frac{\sqrt[3]{81 x}}{\sqrt[3]{3}}$
233340	Graph	-22>-10+b	$- 22 > - 10 + b$
233341	Evaluate the Function	f(6)=x^2+3x-x/2	$f (6) = x^{2} + 3 x - \frac{x}{2}$
233342	Simplify	(6-r^2+5r^3)+(8r^2-r^3+4)-(3r^3-r^2-4)	$(6 - r^{2} + 5 r^{3}) + (8 r^{2} - r^{3} + 4) - (3 r^{3} - r^{2} - 4)$
233343	Solve for x	1/2+x=1/3+x	$\frac{1}{2} + x = \frac{1}{3} + x$
233344	Solve the Inequality for x	3^(6x+18)<27^(3x)	$3^{6 x + 18} < 27^{3 x}$
233345	Find the x and y Intercepts	f(x)=(2x^3+8x^2-10x)/(2x^2+2x)	$f (x) = \frac{2 x^{3} + 8 x^{2} - 10 x}{2 x^{2} + 2 x}$
233346	Solve the Inequality for x	6/7>-2x-8/7	$\frac{6}{7} > - 2 x - \frac{8}{7}$
233347	Find All Complex Solutions	x(x-2)-5=0	$x (x - 2) - 5 = 0$
233348	Graph	2(x+1)^2(x-3)^4(x-7)	$2 {(x + 1)}^{2} {(x - 3)}^{4} (x - 7)$
233349	Multiply	(x-2)/(x+3)*(x^2-9)/(4x-8)	$\frac{x - 2}{x + 3} \cdot \frac{x^{2} - 9}{4 x - 8}$
233350	Simplify	(x-4)+(-2x+1)	$(x - 4) + (- 2 x + 1)$
233351	Solve for f	-94f=-90+5(-18f-58)	$- 94 f = - 90 + 5 (- 18 f - 58)$
233352	Solve for x	x/2=3y^2	$\frac{x}{2} = 3 y^{2}$
233353	Solve for x	(x,2) and (6,3) , m=-1/2	$(x, 2)$ and $(6, 3)$ , $m = - \frac{1}{2}$
233354	Solve for x	x-3(2-3x)=2(5x-3)	$x - 3 (2 - 3 x) = 2 (5 x - 3)$
233355	Simplify	((x^2+1)^2)^2	${({(x^{2} + 1)}^{2})}^{2}$
233356	Multiply	5 square root of 14z^2*4 square root of 21z^3	$5 \sqrt{14 z^{2}} \cdot 4 \sqrt{21 z^{3}}$
233357	Solve the System of Inequalities	y<=1/2x+3 y<=3x-4	$y \leq \frac{1}{2} x + 3$ $y \leq 3 x - 4$
233358	Identify the Sequence	5 , 20 , 80 , 320 ; dots	$5$ , $20$ , $80$ , $320$ ; dots
233359	Evaluate	5 square root of 14z^2*4 square root of 21z^3	$5 \sqrt{14 z^{2}} \cdot 4 \sqrt{21 z^{3}}$
233360	Multiply	( square root of 3)( cube root of 3)	$(\sqrt{3}) (\sqrt[3]{3})$
233361	Simplify the Radical Expression	-6 square root of 112x^3-8x square root of 175x	$- 6 \sqrt{112 x^{3}} - 8 x \sqrt{175 x}$
233362	Identify the Zeros and Their Multiplicities	f(x)=-2x^2(2x-1)^3(4x+3)	$f (x) = - 2 x^{2} {(2 x - 1)}^{3} (4 x + 3)$
233363	Simplify	1/(i^-26)	$\frac{1}{i^{- 26}}$
233364	Solve for x	43=40+ square root of 0.001x+1	$43 = 40 + \sqrt{0.001 x + 1}$
233365	Evaluate	(x+y)/(x-y)+1/(x+y)-(x^2+y^2)/(x^2-y^2)	$\frac{x + y}{x - y} + \frac{1}{x + y} - \frac{x^{2} + y^{2}}{x^{2} - y^{2}}$
233366	Graph	3^m+3^(-)*3=3^5	$3^{m} + 3^{-} \cdot 3 = 3^{5}$
233367	Simplify	(r^2+s^2)-(5r^2+4s^2)	$(r^{2} + s^{2}) - (5 r^{2} + 4 s^{2})$
233368	Write the Fraction in Simplest Form	-5/12-(-9/3)	$- \frac{5}{12} - (- \frac{9}{3})$
233369	Divide	5n^2-11mn+6m^2 entre m-n	$5 n^{2} - 11 m n + 6 m^{2}$ entre $m - n$
233370	Simplify the Radical Expression	fourth root of 3^2	$\sqrt[4]{3^{2}}$
233371	Evaluate Using the Given Value	Solve A=1/2bh for b	Solve $A = \frac{1}{2} b h$ for $b$
233372	Simplify	(7x^5-4x^4+3x^2-5)+(-4x^4-2x^2-x+1)	$(7 x^{5} - 4 x^{4} + 3 x^{2} - 5) + (- 4 x^{4} - 2 x^{2} - x + 1)$
233373	Describe the Transformation	y=-1/5 cube root of x+2	$y = - \frac{1}{5} \sqrt[3]{x} + 2$
233374	Solve for x	1=2pi square root of x/9.8	$1 = 2 π \sqrt{\frac{x}{9.8}}$
233375	Solve for f	f(0)=2 and f(2)=4	$f (0) = 2$ and $f (2) = 4$
233376	Identify the Sequence	3 , 15 , 75 , 375 ; dots	$3$ , $15$ , $75$ , $375$ ; dots
233377	Solve for x	cos(pi/6+x)+sin(pi/3+x)=0	$\cos (\frac{π}{6} + x) + \sin (\frac{π}{3} + x) = 0$
233378	Solve the System of Equations	x+2y-6z=4 x-3y+9z=9 -x-3y+7z=-1	$x + 2 y - 6 z = 4$ $x - 3 y + 9 z = 9$ $- x - 3 y + 7 z = - 1$
233379	Simplify	(5z^4)(4z^3)(2z)	$(5 z^{4}) (4 z^{3}) (2 z)$
233380	Multiply	14xy^4(-14y)	$14 x y^{4} (- 14 y)$
233381	Solve the Inequality for t	2<10+t	$2 < 10 + t$
233382	Simplify	(2+ square root of -8)/(1+i)	$\frac{2 + \sqrt{- 8}}{1 + i}$
233383	Solve for x	-8x+(2x-6)+(x+15)=12	$- 8 x + (2 x - 6) + (x + 15) = 12$
233384	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+13x^2+18x+6 is divided by 2x+1	Use the long division method to find the result when $2 x^{3} + 13 x^{2} + 18 x + 6$ is divided by $2 x + 1$
233385	Solve for t	k(-7)=10t-19	$k (- 7) = 10 t - 19$
233386	Convert to a Percentage	162 is what percent of 200	$162$ is what percent of $200$
233387	Multiply	(-3/4)(3/3)	$(- \frac{3}{4}) (\frac{3}{3})$
233388	Factor	xz+yz-5(x+y)	$x z + y z - 5 (x + y)$
233389	Write in Standard Form	2x(x-7)=3x(x-8)+1	$2 x (x - 7) = 3 x (x - 8) + 1$
233390	Solve for v	4v^2-15v+16=6	$4 v^{2} - 15 v + 16 = 6$
233391	Find the Domain and Range	f(x)=2^(3(x+1))-4	$f (x) = 2^{3 (x + 1)} - 4$
233392	Simplify	square root of (2- square root of 3)/4	$\sqrt{\frac{2 - \sqrt{3}}{4}}$
233393	Graph	f(x)=3^x , g(x)=3^(-x)	$f (x) = 3^{x}$ , $g (x) = 3^{- x}$
233394	Solve for x	log base 3 of 3x+3- log base 3 of x-1=2	$\log_{3} (3 x + 3) - \log_{3} (x - 1) = 2$
233395	Convert to a Decimal	-5rad	$- 5$ radians
233396	Multiply	(3.410^5)(1.210^-3)	$(3.4 \times 10^{5}) (1.2 \times 10^{- 3})$
233397	Find the Degree	(x^4)/8-4x^2 square root of 2	$\frac{x^{4}}{8} - 4 x^{2} \sqrt{2}$
233398	Find the Excluded Values	((x^2-13x+40)/(x^2-2x-15))÷(x^2-5x-24)	$\frac{x^{2} - 13 x + 40}{x^{2} - 2 x - 15} \div (x^{2} - 5 x - 24)$
233399	Subtract	(x^2+x)-(2x^2-3x)	$(x^{2} + x) - (2 x^{2} - 3 x)$
233400	Solve the Rational Equation for x	x/(x+3)=3/((x+2)(x+3))	$\frac{x}{x + 3} = \frac{3}{(x + 2) (x + 3)}$