$$\sin\:\left(x\right)\cos\:\left(x\right)+\sin\:\left(x\right)\cos\:\left(3x\right)=1$$

$$\sqrt[3]{a}\cdot\sqrt{a^7}$$

$$\cos\left(t+\:1400\pi\right)$$

$$3x-5x+x=10$$

$$+224-\left(-359\right)$$

$$15x^3y^2-9y^2$$

$$\int-32x^3\left(-2x^4-4\right)^4\:dx$$