Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220201	Solve for x	sec(x)-1=tan(x)	$\sec (x) - 1 = \tan (x)$
220202	Graph	1/3x+2<y x>=-3	$\frac{1}{3} x + 2 < y$ $x \geq - 3$
220203	Solve for x	f(x+3)=f(x+1)+4x+12	$f (x + 3) = f (x + 1) + 4 x + 12$
220204	Solve for y	1/4y-3x^2=0	$\frac{1}{4} y - 3 x^{2} = 0$
220205	Simplify	((12x)/(14x^5))÷((3x^2)/(7x^3))	$\frac{12 x}{14 x^{5}} \div \frac{3 x^{2}}{7 x^{3}}$
220206	Find All Complex Solutions	2^(3x)=10	$2^{3 x} = 10$
220207	Multiply	fourth root of 11*4 square root of 10	$\sqrt[4]{11} \cdot 4 \sqrt{10}$
220208	Solve for x	(4-x)/8=(7x-1)/3	$\frac{4 - x}{8} = \frac{7 x - 1}{3}$
220209	Graph	y>=(-1/3)x+4	$y \geq (- \frac{1}{3}) x + 4$
220210	Solve for x	1/2(4x+2)=2(x+1/2)	$\frac{1}{2} (4 x + 2) = 2 (x + \frac{1}{2})$
220211	Solve for x	x^2-3/4x-27/64=0	$x^{2} - \frac{3}{4} x - \frac{27}{64} = 0$
220212	Solve the Inequality for x	1/3(x-6)<x+8	$\frac{1}{3} (x - 6) < x + 8$
220213	Solve the System of Equations	y=-x^2-14x-60 6=x-y	$y = - x^{2} - 14 x - 60$ $6 = x - y$
220214	Solve for a	ax+b=0	$a x + b = 0$
220215	Evaluate Using the Given Value	c^2d+3cd^2 ; if c=0.3 and d=0.1	$c^{2} d + 3 c d^{2}$ ; if $c = 0.3$ and $d = 0.1$
220216	Evaluate	1/9(3/5)-1/57/3	$\frac{1}{9} (\frac{3}{5}) - \frac{1}{5} \cdot \frac{7}{3}$
220217	Graph	y>=2x-4 2x-y>=-4	$y \geq 2 x - 4$ $2 x - y \geq - 4$
220218	Simplify	(7(x+7))/7	$\frac{7 (x + 7)}{7}$
220219	Write in Standard Form	4(3-5x)=6-4x	$4 (3 - 5 x) = 6 - 4 x$
220220	Graph	f(x)=(3x^2)/(x(x-3))	$f (x) = \frac{3 x^{2}}{x (x - 3)}$
220221	Evaluate	((m-4)/(m+4))÷(m+2)	$\frac{m - 4}{m + 4} \div (m + 2)$
220222	Write in y=mx+b Form	(3,5) , m=5	$(3, 5)$ , $m = 5$
220223	Simplify	-3b(b-2)+7(b-2)^2	$- 3 b (b - 2) + 7 {(b - 2)}^{2}$
220224	Graph	p(x)=x(2x-5)(x+2)^2	$p (x) = x (2 x - 5) {(x + 2)}^{2}$
220225	Simplify the Radical Expression	square root of 18/30	$\sqrt{\frac{18}{30}}$
220226	Simplify	((2x^-3y^0)/(z^4))((3x^-2z^7)/(y^-2))	$(\frac{2 x^{- 3} y^{0}}{z^{4}}) (\frac{3 x^{- 2} z^{7}}{y^{- 2}})$
220227	Simplify	cube root of 4/2	$\sqrt[3]{\frac{4}{2}}$
220228	Graph	y>=-3x-4 and y<=5x+2	$y \geq - 3 x - 4$ and $y \leq 5 x + 2$
220229	Simplify	(sec(x)^2)/(cot(x)^2+1)	$\frac{\sec^{2} (x)}{\cot^{2} (x) + 1}$
220230	Evaluate	(11-8^-37^-2)(-8^37^4)	$(11 - 8^{- 3} \cdot 7^{- 2}) (- 8^{3} \cdot 7^{4})$
220231	Graph	f(x)=(sin(x))/(\|x\|)	$f (x) = \frac{\sin (x)}{\| x \|}$
220232	Solve for L	L=(2^(n+1)*4^(-2n+1)+8^(-n+2))/(16(2^n)^-3)	$L = \frac{2^{n + 1} \cdot 4^{- 2 n + 1} + 8^{- n + 2}}{16 {(2^{n})}^{- 3}}$
220233	Simplify	(2x^4)(3x^6)(-2x)x^3	$(2 x^{4}) (3 x^{6}) (- 2 x) x^{3}$
220234	Find the Domain and Range	y = square root of 1/2x	$y = \sqrt{\frac{1}{2}} x$
220235	Evaluate	4^x<=36	$4^{x} \leq 36$
220236	Simplify	(c^3)^(1/9)(d^3)^0	${(c^{3})}^{\frac{1}{9}} {(d^{3})}^{0}$
220237	Simplify	((x-3)(x+6))/((x^2-7x+12)(x^2-36))	$\frac{(x - 3) (x + 6)}{(x^{2} - 7 x + 12) (x^{2} - 36)}$
220238	Solve for E	E = square root of 16^( square root of 2^( square root of 16))	$E = \sqrt{16^{\sqrt{2^{\sqrt{16}}}}}$
220239	Solve for c	d=abc for c	$d = a b c$ for $c$
220240	Solve the Inequality for x	x+1>=0	$x + 1 \geq 0$
220241	Solve for x	1/6(2x-12x)=30	$\frac{1}{6} (2 x - 12 x) = 30$
220242	Factor	factor 2x^2+7x+3	factor $2 x^{2} + 7 x + 3$
220243	Evaluate	natural log of x=-3	$\ln (x) = - 3$
220244	Solve for x	x/8-1/2=1/2	$\frac{x}{8} - \frac{1}{2} = \frac{1}{2}$
220245	Simplify	( square root of x-x^2)^2	${(\sqrt{x} - x^{2})}^{2}$
220246	Evaluate	log base 7 of 25* log base 0.2 of 49	$\log_{7} (25) \cdot \log_{0.2} (49)$
220247	Find the Product	(p+q)(4p^2-p-8q^2-q)	$(p + q) (4 p^{2} - p - 8 q^{2} - q)$
220248	Simplify	(4x+2y-6z)+(5y-2z+7x)+(-9z-2x-3y)	$(4 x + 2 y - 6 z) + (5 y - 2 z + 7 x) + (- 9 z - 2 x - 3 y)$
220249	Simplify	(6n^-5)(3n^-3)^2	$(6 n^{- 5}) {(3 n^{- 3})}^{2}$
220250	Simplify the Radical Expression	fourth root of 10* fourth root of 10	$\sqrt[4]{10} \cdot \sqrt[4]{10}$
220251	Solve for k	4/k+3=8/14	$\frac{4}{k} + 3 = \frac{8}{14}$
220252	Expand the Logarithmic Expression	natural log of (4xy^2)/15	$\ln (\frac{4 x y^{2}}{15})$
220253	Graph	y<-x^2+x+6	$y < - x^{2} + x + 6$
220254	Solve for x	5x^2+43=(x-1)(5x+6)	$5 x^{2} + 43 = (x - 1) (5 x + 6)$
220255	Find the 5th Term	5/6 , 5/9 , 10/27 , 20/81	$\frac{5}{6}$ , $\frac{5}{9}$ , $\frac{10}{27}$ , $\frac{20}{81}$
220256	Simplify	((4x)/(x^2-1)*(x+3)/(x^2+2x-3))÷((2x)/(1-x^2))	$\frac{4 x}{x^{2} - 1} \cdot \frac{x + 3}{x^{2} + 2 x - 3} \div \frac{2 x}{1 - x^{2}}$
220257	Simplify	(x+4)/(3x)*(4x^2)/(x^2+9x+20)	$\frac{x + 4}{3 x} \cdot \frac{4 x^{2}}{x^{2} + 9 x + 20}$
220258	Simplify	(x^2-3x)/(x^2+5x+6)	$\frac{x^{2} - 3 x}{x^{2} + 5 x + 6}$
220259	Find the x and y Intercepts	f(x)=(x^2+25)(6x+1)^2	$f (x) = (x^{2} + 25) {(6 x + 1)}^{2}$
220260	Find the Domain and Range	-1/3*6^x+5	$- \frac{1}{3} \cdot 6^{x} + 5$
220261	Divide	( square root of 3)÷( square root of 7)	$\sqrt{3} \div \sqrt{7}$
220262	Solve for r	r-s-11=P	$r - s - 11 = P$
220263	Solve the Inequality for x	-8<=-(x-6/5)-6	$- 8 \leq - (x - \frac{6}{5}) - 6$
220264	Graph	2x+y<0 y>=-4-2x	$2 x + y < 0$ $y \geq - 4 - 2 x$
220265	Solve for x	(3x)/(x+5)-3/(x-2)=-21/(x^2+3x-10)	$\frac{3 x}{x + 5} - \frac{3}{x - 2} = \frac{- 21}{x^{2} + 3 x - 10}$
220266	Solve for x	cube root of x^2+2x-12 = cube root of -2x+9	$\sqrt[3]{x^{2} + 2 x - 12} = \sqrt[3]{- 2 x + 9}$
220267	Solve for x	(1/27)^(x+4)=3^4*3^(x-9)	${(\frac{1}{27})}^{x + 4} = 3^{4} \cdot 3^{x - 9}$
220268	Graph	3x-2y<=-6 y>=5	$3 x - 2 y \leq - 6$ $y \geq 5$
220269	Find the Product	(v-3)(v^2+8v)	$(v - 3) (v^{2} + 8 v)$
220270	Evaluate the Function	f(8) = cube root of 8-8	$f (8) = \sqrt[3]{8 - 8}$
220271	Simplify	((x^2y)^(-3/2))/((x^3y^4)^(-2/3))	$\frac{{(x^{2} y)}^{\frac{- 3}{2}}}{{(x^{3} y^{4})}^{\frac{- 2}{3}}}$
220272	Simplify	(x^3y^4z^5)^(4/5)	${(x^{3} y^{4} z^{5})}^{\frac{4}{5}}$
220273	Subtract	(4x)/3-8/5	$\frac{4 x}{3} - \frac{8}{5}$
220274	Find the Domain of the Composition f(g(x))	f(x)=2x g(x)=x+5	$f (x) = 2 x$ $g (x) = x + 5$
220275	Evaluate	(x^7x^-3y)/(y^-2)	$\frac{x^{7} x^{- 3} y}{y^{- 2}}$
220276	Solve for y	y=1/2(-4)^2	$y = \frac{1}{2} {(- 4)}^{2}$
220277	Solve the Inequality for d	-12-d>-12+4d	$- 12 - d > - 12 + 4 d$
220278	Solve the Inequality for h	-12>-9h	$- 12 > - 9 h$
220279	Solve for b	r=(b-2)m	$r = (b - 2) m$
220280	Multiply	(-1rs^2)(3/5s^2)	$(- 1 r s^{2}) (\frac{3}{5} s^{2})$
220281	Solve for y	y=\|-9+7\|	$y = \| - 9 + 7 \|$
220282	Solve for θ	1+cos(theta)=1/2	$1 + \cos (θ) = \frac{1}{2}$
220283	Find the Inverse	f(x) = natural log of 5x-1	$f (x) = \ln (5 x - 1)$
220284	Solve for C	P=(R-C)/N	$P = \frac{R - C}{N}$
220285	Simplify	(3n^2+n)-(2n+4n^2)	$(3 n^{2} + n) - (2 n + 4 n^{2})$
220286	Solve for y	(-2)y/-2=4(-2)	$(- 2) \frac{y}{- 2} = 4 (- 2)$
220287	Solve by Factoring	64x^2=-49	$64 x^{2} = - 49$
220288	Solve by Substitution	x=11 -4x+y=-23	$x = 11$ $- 4 x + y = - 23$
220289	Simplify the Radical Expression	(25b^6)^-1.5	${(25 b^{6})}^{- 1.5}$
220290	Solve for g	T=gr+gvt	$T = g r + g v t$
220291	Find the End Behavior	f(x)=-x^5+2x^4+3x^3+2x^2-8x+9	$f (x) = - x^{5} + 2 x^{4} + 3 x^{3} + 2 x^{2} - 8 x + 9$
220292	Factor	3/2u^2v^4-5/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - \frac{5}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
220293	Simplify	((s^3t)/(st^4))^2	${(\frac{s^{3} t}{s t^{4}})}^{2}$
220294	Convert to Interval Notation	3x+4<-4 and -3x+1>3	$3 x + 4 < - 4$ and $- 3 x + 1 > 3$
220295	Evaluate	square root of x-3- square root of x=3	$\sqrt{x - 3} - \sqrt{x} = 3$
220296	Solve the Rational Equation for x	square root of x-3- square root of x=3	$\sqrt{x - 3} - \sqrt{x} = 3$
220297	Graph	y>3x-2 2y-x<=6	$y > 3 x - 2$ $2 y - x \leq 6$
220298	Solve for x	3(0.5x-4)=3/2x-1.2	$3 (0.5 x - 4) = \frac{3}{2} x - 1.2$
220299	Evaluate	(m^2-n)(m^2+2n^2)	$(m^{2} - n) (m^{2} + 2 n^{2})$
220300	Solve for x	2(3+x)=5x+54	$2 (3 + x) = 5 x + 54$