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1. Integer with two remainders below 100 ●○○○○ 10 ptsA positive integer $x$ less than 100 leaves remainder 2 when divided by 7, and remainder 8 when divided by 10. Find $x$.
2. Simultaneous congruences modulo 15 and 21 ●●○○○ 20 ptsFind the smallest positive integer $x$ such that $x \equiv 5 \pmod{15}$ and $x \equiv 8 \pmod{21}$.
3. Smallest solution of a linear congruence ●●○○○ 20 ptsWhat is the smallest positive integer $x$ that satisfies the congruence $30x \equiv 42 \pmod{47}$?