| TIGERTEAMS | Groups of problem-solving specialists [Princess 1] |
| MATHTEAM | Group of problem solvers? |
| DIAGNOSTIC | Support return of knowledge of problem solving (10) |
| BYTRIALANDERROR | A way of problem solving by using a variety of methods (2,5,3,5) |
| TRIALANDERROR | Way of problem-solving by testing various methods (5,3,5) |
| ERROR | Trial and - - -, method of problem-solving (5) |
| OCCAM | ___'s razor, rule of problem solving developed by a 14th Century English Franciscan friar (5) |
| LATERALTHINKING | After, a slim monarch adopts Latin way of problem-solving (7,8) |
| ALGORITHM | Rule of problem-solving supplied, reportedly, by defeated Democrat with periodic stress? (9) |
| CRESSIDA | Salad ingredient given to princess, one from Shakespeare |
| ISOLDE | Irish princess, one attracted to non-Irish warrior |
| RANI | Princess, one travelling east in Gulf State |
| BEGUM | Muslim princess one would be mug to upset (5) |
| ALEXANDRIA | Princess, one in port (10) |
| THINKTANK | Problem-solving group of experts (5,4) |
| MATHTEAMS | Groups with good problem-solving skills? |
| MACGYVER | Problem-solving TV hero of the '80s/'90s |
| ALGORITHMS | In computer science, finite numbers of precise rules or steps followed in problem solving (10) |
| RAINSTORMS | Leaderless problem-solving talks produce squalls (10) |
| NUMERICALANALYSIS | Figure breakdown will follow such problem-solving by wranglers |