Renting a Boat

Congratulations, you got a framed picture for Jerry and he loves it! (He really likes chewing on the corner!) You heard from A.A.K.V.O. that they have a freighter passing through the Makassar Straight in a few hours and if you can get a boat, you can meet it and escape the island. Unfortunately, the only boat available is an old river boat, and you're not sure if it can go the required 6.5 km/h in steady water.

The boat owner is willing to take you to the freighter (he takes A.A.K.V.O. credit) but he doesn't know how fast it is. He only knows that every day it goes up the river 30 km and back again in 8 hours, and that the river moves at 2 km/h. Fortunately, that's all the information you need to calculate the speed of the boat in steady water. Is it fast enough to escape the island?

P.S. The PASSWORD is TREE but there's only a note inside. If you solve this problem before I get home, we can get the thing on the note when I get home. If not, maybe after dinner...

Picture Frame

Congratulations, you figured out the combination and escaped the FAMPO facility! You made your way to the coast and now you need to signal A.A.K.V.O. to come pick you up. But when you got to the beach, you saw a picture framing store and decided to get a present for Jerry!

You took the picture on the right of Jerry and want to get it framed. The cost for framing a picture is made up of two parts: glass costs 100 rupiah per square inch and the frame costs 200 rupiah per inch. If the frame has to be 4 by 3 to fit the picture of Jerry, what size picture can you get framed for 122,400 rupiah, the amount you have left (about $9)?

What is the size of the picture in inches? Give width,height, e.g. 23,7

Get a big picture for Jerry!
 

Find the Combination

Congratulations, you've escaped from the cell thanks to your math skills and Jerry's digging! But now you have to escape the room! Unfortunately, the kid's father is trying to teach him math so he's locked him in the room and given him a math problem to get out. Fortunately, the kid is sleeping in the corner and shouldn't wake up for a few hours so you've got time to solve the problem and escape.

The door to the room has a lock on it that needs three numbers to open it. Taped to the door is a picture of Phineas and these words: "Suppose that the lengths of the three sides of a right triangle are three integers with each one 10 bigger than the last (e.g. 1, 11, 21). Find the lengths of the three sides and you will have the combination!"

Good luck!

What is the smallest side: Just a number

What is the middle side: Just a number

What is the largest side: Just a number

Get out of the room before the kid wakes up!
 

Break Out of Jail

Congratulations, thanks to your hard work, the bratty kid got 100% on his extra credit work and can now move up to the eighth grade! But you're sick of being in this cell. Fortunately, Jerry was digging--as he loves to do--and he found a note left by a previous prisoner. It's a diagram that shows how he dug a hole through the floor to the room below that would let one of the bars slip through and create enough of a space to squeeze out of your cell! After he used it for his escape, he put a small piece of wood in to keep the bar up and covered it back up with dirt. Unfortunately, they replaced the bars after his escape and the spacing is different so you can't just count the number of bars over to see where you have to dig. Fortunately, on the back of the slip of paper, the prisoner left some calculations. You've learned that the height (h) in the diagram is 16 feet less than three times the width (w). You've also learned that the total area of the rectangle in the diagram is 75 square feet. How many feet over from the edge of your cell (w) should you dig to open up the hole and slide the bar through?

Good luck!

What is the value of w in feet: Just a number (use / for fractions)

Set yourself free!
 

Get Jerry Back

Congratulations, you finally finished the previous nine problems for the bratty kid's extra credit. You only have four more to go but they're due tomorrow. The kid is sick of taking care of "your stupid rat" as he calls Jerry, so he's decided to give him back to you if you complete these four problems by the end of the day. But if you don't, the kid said it's "curtains for Jerry"!

Good luck!

Problem 35, smaller solution: Just a number (use / for fractions)

Problem 35, larger solution: Just a number (use / for fractions)

Problem 36, smaller solution: Just a number (use / for fractions)

Problem 36, larger solution Just a number (use / for fractions)

Problem 37, smaller solution: Just a number (use / for fractions)

Problem 37, larger solution: Just a number (use / for fractions)

Problem 38, length of rectangle in cm: Just a number (use / for fractions)

Problem 38, width of rectangle in cm: Just a number (use / for fractions)

Solve these problems to get Jerry back!
 

Jerry is a Hero!

Congratulations, you solved the problems and were able to see Jerry, your pet marsupial mole, for about a minute. When your minute was up, the bratty kid snatched him back. Then Jerry did something that made you so proud--he bit the bratty kid in the hand! The kid screamed like a baby and dropped Jerry who ran back to you. You were able to spend an additional half hour with him while the kid got his hand bandaged up. He also had to have a very painful rabies shot!

But now you and Jerry are apart again and the kid is making you do nine more problems. Good luck!

Give the factors according to the example below. Always put the number in front of the variable.
Order the monomials within each factor alphabetially. Do not use multiplication signs (i.e. *).
If you have a simple multiplier (not a sum in parentheses), put it first.
The factors can be in either order because this program is sophisticated! For example: (3x+1)(x+2) or (x+2)(3x+1)

Problem 26:

Problem 27:

Problem 28:

Problem 29:

Problem 30:

Problem 31:

Problem 32:

Problem 33:

Problem 34:

Solve these problems to see Jerry!
 

Save Jerry!

Congratulations, you solved the problems and the bratty kid got 100% on his homework. You would think he would be grateful, right? Well, he's not. He decided to steal Jerry, your pet marsupial mole! Now he says he won't give him back unless you do his extra credit work for him--twenty two more problems!

He said if you do the nine problems below, he'll let you see Jerry for one minute and he'll even let you pet him. Isn't that nice?

Good luck!

If it's a perfect square, factor it. For example: (3x-3)^2 (do not use *)

Problem 17:

Problem 18:

Problem 19:

Give the factors according to the example below. Always put the number in front of the variable.
Order the monomials within each factor alphabetially. Do not use multiplication signs (i.e. *).
The factors can be in either order because this program is sophisticated!
For example: (3x+1)(x+2) or (x+2)(3x+1)

Problem 20:

Problem 21:

Problem 22:

Problem 23:

Problem 24:

Problem 25:

Solve these problems to see Jerry!
 

Baby Polar Bear

Congratulations, you got the baby hedgehog! Unfortunately, the FAMPO commander's bratty kid still has more homework and he's demanding that you help him.

But now that they know you are collecting baby animals, they have offered you this baby polar bear if you can solve the problems below.

Good luck!

Problem 9: just a number

Problem 10: just a number

Give a polynomial according to the example below.
Always put the number first, then the variables in alphabetical order
Order the monomials by the variable that comes first alphabetially with the highest power first
For example: a^2+18*a*b+81*b^2

Problem 11:

Problem 12:

Problem 13:

Problem 14:

Problem 15:

Problem 16:

Solve these problems to get the baby polar bear!
 

Baby Hedgehog

FAMPO is very angry with you that you did not lead them back to A.A.K.V.O. headquarters and that you removed your transmitter. They haven't decided yet what to do with you. But in the meantime, the commander wants you to help his son with his homework. And by help, he means you have to do it for him!

As motivation, he will give you this pet baby hedgehog but you have to get them all correct!  Good luck.

List all pairs using the example below. Order each pair from smallest to largest.

And order the pairs from smallest to largest using the first value.

Example for 15: (-15,-1),(-5,-3),(1,15),(3,5)

Problem 1:

Problem 2:

Give the prime factorization according to the example below.

Order the numbers from smallest to largest.

Example for 120: 2^3*3*5

Problem 3:

Problem 4:

Write each answer according to the example below.

If the answer is a fraction, put the top and bottom portions in parentheses.
If the answer after simplifying is negative, put the negative sign on the top inside the parentheses.
For each monomial, list numbers first and then variable in alphabetical order.
Do not change the order of the monomials.

For example, problem 5 before simplifying would be written: (-70*m^5)/(-42*m*n^7)

Problem 5:

Problem 6:

Problem 7:

Problem 8:

Solve these problems to get the baby hedgehog!
 

Japanese River Otter

Congratulations, you bribed the pilot with 600 $9 bills and got the virus! However, as soon as you got the canister with virus, your partner got a call for an urgent mission in Japan to save the extremely rare Japanese river otter, lutra nippon. Thought by some to be extinct, you've discovered that FAMPO has found a surviving colony but is now on a mission to hunt them to extinction.

You planned to join your partner but just as you were leaving the site, you heard someone from behind you say, "...and you thought we just let you go..." and then you felt a sharp blow to the head, fell to the ground, and the lights went out...

Bribing the Pilot

Congratulations, you figured out that the new target area is right next to Vladivostok! After searching for airports in the area, you found one with a crop duster pilot who has admitted to being hired by FAMPO. Fortunately, he is a duplicitous character and is willing to give you the ALPV, but not for free!

He showed you the money that FAMPO gave him and was very upset that the stacks of money of two different denominations were different heights. He said he wanted the same number of bills for each denomination, but those FAMPO idiots gave him the same dollar amount in each denomination! (He must have some kind of one-two thing.) He is willing to give you the ALPV if you give him 600 of the higher denomination bills so that his stacks are exactly the same height.  He also said that you would then be paying the same amount that FAMPO paid him. Unfortunately, you only saw the lower denomination bills which were $3 Obama bills! Obviously, FAMPO is giving him counterfeit money but you still need to give him the higher denomination bills to make him happy and get the ALPV. What value should you get printed on the 600 higher-denomination bills?

Crop Duster

Congratulations, you found the secret FAMPO hideout. Unfortunately, by the time you figured out the location and flew there, they were gone! Fortunately, they left some scraps of paper in the trash can that might help you figure out their plan.

The first paper has a contract for a crop duster to dispense a special chemical over a specific rectangular area of jungle. The second is a packing slip for delivery from FAMPO Laboratories of "ALPV" which your partner figured out stands for Amur Leopard Polio Virus. They must have modified the human polio virus to attack Amur leopards--those sneaky bastards!

The third set of papers has the map above and one page of calculations but the other ones are missing. You recognize immediately that the blue areas are the current locations of the Amur leopard--but which one are they going to target? From the one page of calculations, you found these notes:

• Vladivostok area is 50 km longer than it is wide
• Not enough ALPV to cover Vladivostok--damn!
• Need to reduce the area sprayed by 3600 km² 
• Why didn't we get more ALPV? We should fire all FAMPO chemists immediately!
• If we reduce the width and height by 30 km each, we can cover the new area!
• That means we can instead target the area near [...bottom of page--notes end here]

All you need to do is figure out the dimensions of the new target area and you can go stop the crop duster!  Good luck.

Chillin' in Jilin

Congratulations, you do not have any brain damage from your surgery, and you've joined your fellow agents on the mission to save the Amur Leopard! First, you need to find out where the FAMPO agents are meeting. You've intercepted their radio transmissions and overheard the following conversations:

8:47 am:  "Hi Roger, I'm leaving Yanbian right now."

8:47 am:  "Hi Martin, I just took off in my plane right now as well from Tonghua!"

9:17 am:  "Hi Roger.  I'm flying at a constant speed of [transmission garbled].  How fast are you going?" 

9:17 am:  "Hi Martin.  I'm flying exactly 24 km/h faster than you!  It must be because I've got the wind behind me!"

9:37 am:  "Hi Roger.  I just touched down on the runway and I see another FAMPO plane on the other runway!  Is that you?"

9:37 am:  "Hi Martin.  Yes, it's me.  I can't believe we touched down at the same time! This portends good fortune for our mission!"

Since you know that Yanbian is 320 km from Tonghua and they traveled toward each other in a straight line, you can figure out where they are meeting! How far from Tonghua toward Yanbian did they meet?

Amur Leopard

Congratulations, you solved the last set of problems and now have a marsupial mole as a pet! You only have one more set to complete to prove you do not have brain damage. But hurry! A.A.K.V.O. has just learned of a despicable plan that FAMPO has to exterminate the Amur leopard from the planet! If you finish the problems below in time, you can join your fellow A.A.K.V.O. agents on their mission to save the Amur leopard!

Good luck!

Reminder: Either enter a number or explain why the problem has no unique solution

Problem 20 (Lee's speed in km/h): just enter a number

Problem 20 (Jessie's speed in km/h): just enter a number

Problem 21 (width in cm): just enter a number

Problem 21 (length in cm): just enter a number

Problem 22 (# of nickels): just enter a number

Problem 22 (# of dimes): just enter a number

Solve these problems to join the next mission!
 

Marsupial Mole

Congratulations, you got a golden mole as a pet! Unfortunately, the agents gave it to you in a cage with a cardboard bottom and Goldie--not a very clever name--burrowed through it during the night and escaped! The agents feel terrible about it so they've offered you a marsupial mole as a pet if you can complete the problems below before the timer runs out.

Good luck!

Reminder: Use * for multiplication, / for division, and ^ for exponent.

Problem 13: enter an equation with x

Problem 14: enter an equation with x & y

Problem 15: enter the value for x (just a number)

Problem 16: enter an equation with x

Problem 17: enter an equation with c

Problem 18: enter an equation for C with F in it (e.g. 2*F)

Problem 19: enter an equation for a with D & t in it

Time remaining to get a pet marsupial mole: minutes!

Don't you want a pet marsupial mole?
 

Pet Golden Mole

Congratulations, you passed the first test! However, your fellow agents are very concerned you might have serious brain damage because it took you so long to do the problems. But they also wonder if perhaps you just aren't motivated enough. So for this test, they have decided to give you a pet golden mole if you can solve the problems below in less than five minutes!

Good luck!

Reminder: Use * for multiplication, / for division, and ^ for exponent.

Problem 7: enter an equation with x & y

Problem 8: enter an equation with a

Problem 9: enter an equation with x

Problem 10: enter an equation with n

Problem 11: enter an equation with x

Problem 12: enter an equation with n

Time remaining to get a pet golden mole: 5:00 minutes!

Don't you want a pet golden mole?
 

The Bandages Come Off

Congratulations, the surgery was a success, and the transmitter has been removed! Today your bandages come off and the A.A.K.V.O. agents will begin testing you to see if the surgery caused any brain damage. If you pass the tests over the next several days, you will be on your way to becoming a full A.A.K.V.O. agent again, and you can begin working on stopping the next FAMPO mission. But if you don't pass the tests, don't worry--A.A.K.V.O. currently has an open position for janitor at A.A.K.V.O. headquarters.

Below is your first test.  Use the following symbols in your answers:

• multiplication:  *
• division: /
• exponent: ^

For example, the area of a circle from the diameter, d, would be written:  pi*(d/2)^2. And do not use parentheses in any of your answers. Good luck!

Problem 1: enter an equation with x & y

Problem 2: enter an equation with a & b

Problem 3: enter a number

Problem 4a: enter an equation with n

Problem 4b: enter an equation with n

Problem 5a: enter an equation with x

Problem 5b: enter an equation with x

Problem 6a: enter an equation with x & y

Problem 6b: enter an equation with x & y

Do you have brain damage?