Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202401	Write in Standard Form	7-y=5x+11	$7 - y = 5 x + 11$
202402	Simplify	(8^-1a^-2b^-3)/(24^-1a^-4b^0)	$\frac{8^{- 1} a^{- 2} b^{- 3}}{24^{- 1} a^{- 4} b^{0}}$
202403	Solve for x	(x^2+2x-3)/(2x^2+x-3)=0	$\frac{x^{2} + 2 x - 3}{2 x^{2} + x - 3} = 0$
202404	Solve the System of Equations	y=x^2-2x+4 y=3x	$y = x^{2} - 2 x + 4$ $y = 3 x$
202405	Factor	8ab^2-5b^2-10c^2+16ac^2	$8 a b^{2} - 5 b^{2} - 10 c^{2} + 16 a c^{2}$
202406	Simplify	3 square root of m+8 square root of m-15 square root of m	$3 \sqrt{m} + 8 \sqrt{m} - 15 \sqrt{m}$
202407	Simplify	y square root of 28x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{28 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
202408	Solve for x	5/(3ab)=x/(12a^2bc^3)	$\frac{5}{3 a b} = \frac{x}{12 a^{2} b c^{3}}$
202409	Solve for n	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
202410	Solve for X	4X=2X+6	$4 X = 2 X + 6$
202411	Simplify	cube root of (x^6)/27	$\sqrt[3]{\frac{x^{6}}{27}}$
202412	Multiply	(5 square root of 3+ square root of 15)*(3 square root of 5- square root of 15)	$(5 \sqrt{3} + \sqrt{15}) \cdot (3 \sqrt{5} - \sqrt{15})$
202413	Simplify	(x+y)/(x^-1+y^-1)	$\frac{x + y}{x^{- 1} + y^{- 1}}$
202414	Write in Slope-Intercept Form	9x-7y>0	$9 x - 7 y > 0$
202415	Simplify	(a^3)/(b^-2)*(ab^2)/(a^4)	$\frac{a^{3}}{b^{- 2}} \cdot \frac{a b^{2}}{a^{4}}$
202416	Solve the Inequality for r	8r-(5r+4)>=-31	$8 r - (5 r + 4) \geq - 31$
202417	Solve for z	0.2z-0.09=-0.03z	$0.2 z - 0.09 = - 0.03 z$
202418	Solve for p	m=8-2(p-m)	$m = 8 - 2 (p - m)$
202419	Find the Exact Value	sec(750 degrees )-csc(-300 degrees )	$\sec (750 °) - \csc (- 300 °)$
202420	Simplify	(2xy^3)^0(3xy)	${(2 x y^{3})}^{0} (3 x y)$
202421	Solve the Inequality for r	r-8<=7	$r - 8 \leq 7$
202422	Find the Product	(x+2)(x+2)(x+2)	$(x + 2) (x + 2) (x + 2)$
202423	Evaluate	(2x^4y^-3)^-1	${(2 x^{4} y^{- 3})}^{- 1}$
202424	Solve the System of Equations	y=7/4x-3 y=x	$y = \frac{7}{4} x - 3$ $y = x$
202425	Solve for x	square root of x-4 = square root of 2x+9	$\sqrt{x - 4} = \sqrt{2 x + 9}$
202426	Solve for x	0.20=(x^2)/(65-x)	$0.2 = \frac{x^{2}}{65 - x}$
202427	Solve the System of Equations	y=5/2x+4 y=1/2x	$y = \frac{5}{2} x + 4$ $y = \frac{1}{2} x$
202428	Find the Roots (Zeros)	square root of x-1+4=0	$\sqrt{x - 1} + 4 = 0$
202429	Solve for n	2n+3+3n=n+11	$2 n + 3 + 3 n = n + 11$
202430	Solve for a	2/10=4/(a-3)	$\frac{2}{10} = \frac{4}{a - 3}$
202431	Simplify	(21x+6)*(10x-50)/(21x+6)	$(21 x + 6) \cdot \frac{10 x - 50}{21 x + 6}$
202432	Simplify	sin(theta)^2cot(theta)csc(theta)	$\sin^{2} (θ) \cdot \cot (θ) \cdot \csc (θ)$
202433	Write as a Single Logarithm	15(1/3 log of x+y-1/5 log of x-y)	$15 (\frac{1}{3} \log (x + y) - \frac{1}{5} \log (x - y))$
202434	Simplify	12(a/3-b/4)+2a-6b	$12 (\frac{a}{3} - \frac{b}{4}) + 2 a - 6 b$
202435	Divide	( fourth root of 12x^3)/( fourth root of 3x^2)	$\frac{\sqrt[4]{12 x^{3}}}{\sqrt[4]{3 x^{2}}}$
202436	Find the Slope and y-intercept	f(x)=x	$f (x) = x$
202437	Solve for x	8+(3x)/7=x	$8 + \frac{3 x}{7} = x$
202438	Solve for x	5/2x+(x-4)/2=11	$\frac{5}{2} x + \frac{x - 4}{2} = 11$
202439	Simplify	-yx^2z^3(4y^0z)^2	$- y x^{2} z^{3} {(4 y^{0} z)}^{2}$
202440	Solve for x	(1/1024)^(x+9)=(1/256)^(-5x+5)	${(\frac{1}{1024})}^{x + 9} = {(\frac{1}{256})}^{- 5 x + 5}$
202441	Determine if Linear	5x-2+3x=y	$5 x - 2 + 3 x = y$
202442	Solve for C	D=ABC	$D = A B C$
202443	Simplify	Subtract -3n^2 from -7n^2	Subtract $- 3 n^{2}$ from $- 7 n^{2}$
202444	Simplify	-3x+x^3-2x^2-4x^3-2x^2-4x	$- 3 x + x^{3} - 2 x^{2} - 4 x^{3} - 2 x^{2} - 4 x$
202445	Simplify	(-6-18x)/(6x+2)	$\frac{- 6 - 18 x}{6 x + 2}$
202446	Solve the Inequality for x	9^x>54	$9^{x} > 54$
202447	Solve for B	(6p+2)^2=36p^2+Bp+4	${(6 p + 2)}^{2} = 36 p^{2} + B p + 4$
202448	Evaluate	1÷(-( square root of 3)/2)	$1 \div (- \frac{\sqrt{3}}{2})$
202449	Solve for n	3.4e^(2-2n)-9=-4	$3.4 e^{2 - 2 n} - 9 = - 4$
202450	Simplify	((m^2-3m)/(8x^2))÷((3m)/(8x))	$\frac{m^{2} - 3 m}{8 x^{2}} \div \frac{3 m}{8 x}$
202451	Simplify	Subtract -2x from -8x	Subtract $- 2 x$ from $- 8 x$
202452	Simplify	(5+ square root of 12)^2	${(5 + \sqrt{12})}^{2}$
202453	Evaluate	(1/(512^(-1/3)))	$(\frac{1}{512^{- \frac{1}{3}}})$
202454	Evaluate	5*2^-2	$5 \cdot 2^{- 2}$
202455	Simplify	(2x^2+x-3)+(x-1)	$(2 x^{2} + x - 3) + (x - 1)$
202456	Solve for x	49^(x/4-1)=343^(x/3)	$49^{\frac{x}{4} - 1} = 343^{\frac{x}{3}}$
202457	Evaluate	-(16/81)^(3/4)	$- {(\frac{16}{81})}^{\frac{3}{4}}$
202458	Evaluate	2x^2+(4x-6x^2)+9-(6x+3)	$2 x^{2} + (4 x - 6 x^{2}) + 9 - (6 x + 3)$
202459	Simplify	x-(x-y)/2+(x+y)/4	$x - \frac{x - y}{2} + \frac{x + y}{4}$
202460	Write as a Single Logarithm	log base 4 of x^7- log base 4 of x^2+4* log base 4 of x^3	$\log_{4} (x^{7}) - \log_{4} (x^{2}) + 4 \cdot \log_{4} (x^{3})$
202461	Solve for x	(1/25)^(-16x-62)=5^(-2x^2-2)	${(\frac{1}{25})}^{- 16 x - 62} = 5^{- 2 x^{2} - 2}$
202462	Simplify	(6x^3+6x^2)/(2x^3-2x)	$\frac{6 x^{3} + 6 x^{2}}{2 x^{3} - 2 x}$
202463	Simplify	r/(r^2-4)+1/(r^2-6r+8)	$\frac{r}{r^{2} - 4} + \frac{1}{r^{2} - 6 r + 8}$
202464	Simplify	((x+2)-(y+1))((x+2)+(y+1))	$((x + 2) - (y + 1)) ((x + 2) + (y + 1))$
202465	Simplify	limit as x approaches 2 of (x^2+12x-28)/(x-2)	$lim_{x \to 2} \frac{x^{2} + 12 x - 28}{x - 2}$
202466	Solve the Inequality for p	9.20p>=299	$9.2 p \geq 299$
202467	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-7x^3-10x^2+8x^4	$f (x) = - 7 x^{3} - 10 x^{2} + 8 x^{4}$
202468	Find the Exact Value	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
202469	Solve for x	square root of 2x+2 = square root of 5x-4	$\sqrt{2 x} + 2 = \sqrt{5 x - 4}$
202470	Solve for n	-7-2.1n=-3.5n	$- 7 - 2.1 n = - 3.5 n$
202471	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-9x^2-5-6x^4	$f (x) = - 9 x^{2} - 5 - 6 x^{4}$
202472	Simplify	( cube root of 3* fourth root of 3)^12	${(\sqrt[3]{3} \cdot \sqrt[4]{3})}^{12}$
202473	Convert to Radical Form	a^-1.6	$a^{- 1.6}$
202474	Simplify	(x^-1+y^-1)/(x^-2-y^-2)	$\frac{x^{- 1} + y^{- 1}}{x^{- 2} - y^{- 2}}$
202475	Simplify	((2g^3h^-2)^2)/((g^2h^0)^-3)	$\frac{{(2 g^{3} h^{- 2})}^{2}}{{(g^{2} h^{0})}^{- 3}}$
202476	Simplify	(2x+2y)/(x^2-2xy+y^2)*(x^2-xy)/(7y+7x)	$\frac{2 x + 2 y}{x^{2} - 2 x y + y^{2}} \cdot \frac{x^{2} - x y}{7 y + 7 x}$
202477	Simplify	(2x^2-9x+2)^2-4	${(2 x^{2} - 9 x + 2)}^{2} - 4$
202478	Simplify	( square root of x)^6*( square root of x)^-4	${(\sqrt{x})}^{6} \cdot {(\sqrt{x})}^{- 4}$
202479	Simplify the Radical Expression	square root of 2*5 square root of 8	$\sqrt{2} \cdot 5 \sqrt{8}$
202480	Simplify	(3^-24^2)/(3^04^3)	$\frac{3^{- 2} \cdot 4^{2}}{3^{0} \cdot 4^{3}}$
202481	Solve for v	-3(4-2v)=6v-12	$- 3 (4 - 2 v) = 6 v - 12$
202482	Simplify	(r^-5+r^5)^0	${(r^{- 5} + r^{5})}^{0}$
202483	Simplify	( square root of 405x^10y^7)/( square root of 9x^4)	$\frac{\sqrt{405 x^{10} y^{7}}}{\sqrt{9 x^{4}}}$
202484	Simplify	(5 square root of 3+ square root of 15)(3 square root of 5- square root of 15)	$(5 \sqrt{3} + \sqrt{15}) (3 \sqrt{5} - \sqrt{15})$
202485	Write in Slope-Intercept Form	1/3x+2y=4/3	$\frac{1}{3} x + 2 y = \frac{4}{3}$
202486	Evaluate	f(x)=0.5^-3	$f (x) = {0.5}^{- 3}$
202487	Solve for x	square root of (5+x^2)^2=5+x^2	$\sqrt{{(5 + x^{2})}^{2}} = 5 + x^{2}$
202488	Solve by Factoring	2x^4-4x^3=-2x^2	$2 x^{4} - 4 x^{3} = - 2 x^{2}$
202489	Solve for x	-2(3x-15)^(1/3)-4=2	$- 2 {(3 x - 15)}^{\frac{1}{3}} - 4 = 2$
202490	Simplify	(1-sin(theta)^2)tan(theta)csc(theta)	$(1 - \sin^{2} (θ)) \cdot \tan (θ) \cdot \csc (θ)$
202491	Solve for x	-sin(x)+cos(x)=0	$- \sin (x) + \cos (x) = 0$
202492	Simplify the Radical Expression	fourth root of 16/(x^14)	$\sqrt[4]{\frac{16}{x^{14}}}$
202493	Evaluate	2(n-1)+4n=2(3n-1)	$2 (n - 1) + 4 n = 2 (3 n - 1)$
202494	Solve the Rational Equation for n	fourth root of n+2=3	$\sqrt[4]{n + 2} = 3$
202495	Simplify	(7 square root of 2+x)(7 square root of 2-x)	$(7 \sqrt{2} + x) (7 \sqrt{2} - x)$
202496	Simplify	2/11z-5/11z+4-1/11z-8	$\frac{2}{11} z - \frac{5}{11} z + 4 - \frac{1}{11} z - 8$
202497	Simplify	-( cube root of 3)/( cube root of 5)	$- \frac{\sqrt[3]{3}}{\sqrt[3]{5}}$
202498	Find the Holes in the Graph	f(x)=(x^2-x-6)/x	$f (x) = \frac{x^{2} - x - 6}{x}$
202499	Simplify	(x/(2x-8))÷(5/(3x-12))	$\frac{x}{2 x - 8} \div \frac{5}{3 x - 12}$
202500	Divide Using Synthetic Division	(2x^2+13x-8)÷(x-1/2)	$(2 x^{2} + 13 x - 8) \div (x - \frac{1}{2})$