Project WIZARDS Session 5

Find the value of x if $$x=\sqrt[]{x}+72$$

Find the least integral value of s that satisfies the inequality $$s^{20}\ge3^{40}$$

Find the least non-negative integeral value of n that satisfies the inequality $$n^{25}\ge4^{50}$$

Find the product of the first 7 consecutive integers.

The integer x satisfies the inequality x + (x + 1) + (x + 2) + …+ (x + 20) > 2025. Find the minimum possible value of x.

The integer mmm satisfies the inequality $$m+(m+1)+(m+2)+⋯+(m+30)>5000$$ .

Find the minimum possible value of m.

Factorize (ad + ae + bd + be + cd + ce)

Factorize:

$$px+py+qx+qy+rx+ry$$