I'll be backsolving you'll be backsolving he'll be backsolving we'll be backsolving you'll be backsolving they'll be backsolving
Future perfect
I'll have backsolved you'll have backsolved he'll have backsolved we'll have backsolved you'll have backsolved they'll have backsolved
Future perfect continuous
I'll have been backsolving you'll have been backsolving he'll have been backsolving we'll have been backsolving you'll have been backsolving they'll have been backsolving
I'd be backsolving you'd be backsolving he'd be backsolving we'd be backsolving you'd be backsolving they'd be backsolving
Past
I'd have backsolved you'd have backsolved he'd have backsolved we'd have backsolved you'd have backsolved they'd have backsolved
Past continuous
I'd have been backsolving you'd have been backsolving he'd have been backsolving we'd have been backsolving you'd have been backsolving they'd have been backsolving