{"text_format":"1","workbook":"xlsx","n_sheets":9,"sheets":["index","positive integers","negative integers","product","product&nos","brackets","zero","quotient","quotient&nos"],"not_rendered":{"charts":0,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"index","index":0,"n_rows":10,"n_cols":2,"rows_kept":10,"cut":false,"hidden":false,"merged":[]}
[null,"INDICES"]
[1,"Positive Integers - evaluate positive integers up to powers of 5  "]
[2,"Negative Integers - evaluate negative integers up to powers of 5  "]
[3,"Product - two variables multiplied together"]
[4,"Numbers and Product - same as above but with coefficients not equal to one"]
[5,"Brackets"]
[6,"Zero Index"]
[7,"Quotient - two variables divided by each other - what do you do with negative indices?"]
[8,"Numbers and Quotient - same as above but with coefficients not equal to one"]
[null,"© Copyright 2004 S.A.Lomax, M.J.Nixon.  All Rights Reserved."]

{"sheet":"positive integers","index":1,"n_rows":12,"n_cols":11,"rows_kept":12,"cut":false,"hidden":false,"merged":[[1,0,1,13],[11,0,11,5],[11,6,11,11],[3,3,9,6],[3,7,9,10]]}
[]
["Evaluate:"]
[]
[null,null,null,{"$f":"1+INT(10*RAND())","v":1},7,10,2,{"$f":"1+INT(4*RAND())","v":4},4,2,1]
[null,null,null,4,4,3,4,4,3,1,1]
[null,null,null,3,3,4,5,2,4,1,4]
[null,null,null,10,9,6,4,2,3,2,4]
[null,null,null,6,3,9,4,3,1,3,2]
[null,null,null,8,3,9,1,4,1,2,2]
[null,null,null,2,10,5,9,3,3,4,1]
[]
["Answer =",null,null,null,null,null,{"$f":"D4^H4","v":1}]

{"sheet":"negative integers","index":2,"n_rows":12,"n_cols":11,"rows_kept":12,"cut":false,"hidden":false,"merged":[[11,0,11,5],[11,6,11,11],[3,7,9,10],[1,0,1,13],[3,4,9,4],[3,5,9,5],[3,6,9,6],[3,3,9,3]]}
[]
["Evaluate:"]
[]
[null,null,null,null,"(",{"$f":"-5+INT(5*RAND())","v":-4},")",{"$f":"1+INT(4*RAND())","v":4},3,4,4]
[null,null,null,null,null,null,null,2,4,1,3]
[null,null,null,null,null,null,null,1,4,2,4]
[null,null,null,null,null,null,null,3,1,3,1]
[null,null,null,null,null,null,null,1,1,1,2]
[null,null,null,null,null,null,null,2,1,3,2]
[null,null,null,null,null,null,null,3,3,3,1]
[]
["Answer =",null,null,null,null,null,{"$f":"F4^H4","v":256}]

{"sheet":"product","index":3,"n_rows":12,"n_cols":9,"rows_kept":12,"cut":false,"hidden":false,"merged":[[1,0,1,13],[3,4,9,4],[3,5,9,5],[3,6,9,6],[11,0,11,5],[3,3,9,3],[3,7,9,7],[3,8,9,8],[3,9,9,9],[3,10,9,10]]}
[]
["Simplify:"]
[]
[null,null,null,null,"y",{"$f":"-3+(INT(RAND()*10))","v":-3},"×","y",{"$f":"-2+(INT(RAND()*10))","v":0}]
[]
[]
[]
[]
[]
[]
[]
["Answer:",null,null,null,null,null,"y",{"$f":"F4+I4","v":-3},{"$f":"IF(H12=0,\"= 1\",IF(H12=1,\"= y\",\"\"))","v":""}]

{"sheet":"product&nos","index":4,"n_rows":12,"n_cols":10,"rows_kept":12,"cut":false,"hidden":false,"merged":[[11,0,11,5],[3,3,9,3],[3,8,9,8],[3,9,9,9],[3,10,9,10],[3,11,9,11],[3,4,9,4],[3,5,9,5],[3,6,9,6],[3,7,9,7]]}
[]
[null,null,null,null,null,null,"Simplify:"]
[]
[null,null,null,{"$f":"1+INT(9*RAND())","v":2},"y",{"$f":"-3+(INT(RAND()*10))","v":-1},"×",{"$f":"1+INT(8*RAND())","v":8},"y",{"$f":"-2+(INT(RAND()*10))","v":6}]
[null,null,null,{"$f":"1+INT(10*RAND())","v":6},null,null,null,{"$f":"1+INT(10*RAND())","v":4}]
[null,null,null,4,null,null,null,3]
[null,null,null,7,null,null,null,2]
[null,null,null,6,null,null,null,8]
[null,null,null,1,null,null,null,2]
[null,null,null,5,null,null,null,4]
[]
["Answer:",null,null,null,null,null,{"$f":"D4*H4","v":16},{"$f":"IF(H4=0,\"\",IF(F4+J4=0,\"\",\"y\"))","v":"y"},{"$f":"IF(H4=0,\"\",IF(F4+J4=0,\"\",IF(F4+J4=1,\"\",F4+J4)))","v":5}]

{"sheet":"brackets","index":5,"n_rows":12,"n_cols":9,"rows_kept":12,"cut":false,"hidden":false,"merged":[[3,2,9,2],[3,4,9,4],[3,7,9,8],[3,3,9,3],[3,5,9,5],[3,6,9,6]]}
[]
[null,null,null,null,null,"Simplify:"]
[]
[null,null,null,"(","x",{"$f":"INT(10*RAND())","v":8},")",{"$f":"1+INT(6*RAND())","v":2},{"$f":"1+INT(4*RAND())","v":3}]
[null,null,null,null,null,null,null,{"$f":"1+INT(4*RAND())","v":3},4]
[null,null,null,null,null,null,null,4,3]
[null,null,null,null,null,null,null,4,3]
[null,null,null,null,null,null,null,4,2]
[null,null,null,null,null,null,null,1,3]
[null,null,null,null,null,null,null,3,2]
[]
[null,"Answer:",null,null,{"$f":"IF(F4*H4=0,\"1\",\"x\")","v":"x"},{"$f":"IF(F4*H4=0,\"\",IF(F4*H4=1,\"\",F4*H4))","v":16}]

{"sheet":"zero","index":6,"n_rows":12,"n_cols":9,"rows_kept":12,"cut":false,"hidden":false,"merged":[[3,2,9,2],[3,4,9,5],[3,7,9,8],[3,3,9,3],[3,6,9,6]]}
[]
[null,null,null,null,null,"Simplify:"]
[]
[null,null,null,"(",{"$f":"-9+INT(40*RAND())","v":-2},{"$f":"1+INT(4*RAND())","v":3},")",0,{"$f":"1+INT(4*RAND())","v":4}]
[null,null,null,null,{"$f":"1+INT(4*RAND())","v":3},2,null,{"$f":"1+INT(4*RAND())","v":3},3]
[null,null,null,null,2,3,null,4,4]
[null,null,null,null,1,4,null,1,3]
[null,null,null,null,1,2,null,3,3]
[null,null,null,null,1,1,null,2,4]
[null,null,null,null,3,3,null,3,3]
[]
[null,"Answer:",null,null,1,{"$f":"IF(F4*H4=0,\"\",IF(F4*H4=1,\"\",F4*H4))","v":""}]

{"sheet":"quotient","index":7,"n_rows":13,"n_cols":16,"rows_kept":13,"cut":false,"hidden":false,"merged":[[3,7,9,7],[3,8,9,8],[11,0,12,5],[11,6,12,6],[11,7,12,7],[11,8,12,8],[11,11,12,11],[11,12,11,13],[11,14,12,14],[3,9,9,9],[3,10,9,10],[1,0,1,13],[3,4,9,4],[3,5,9,5],[3,6,9,6],[3,3,9,3]]}
[]
["Simplify:"]
[]
[null,null,null,null,"y",{"$f":"-1+(INT(RAND()*10))","v":4},"÷","y",{"$f":"1+(INT(RAND()*9))","v":4}]
[]
[]
[]
[]
[]
[]
[]
["Answer:",null,null,null,null,null,"y",{"$f":"F4-I4","v":0},{"$f":"IF(H12=0,\"= 1\",IF(H12=1,\"= y\",\"\"))","v":"= 1"},null,null,{"$f":"IF(H12<0,\"=\",\"\")","v":""},{"$f":"IF(H12<0,\"  1  \",\"\")","v":""},null,{"$f":"IF(N13=1,\"=\",\"\")","v":""},{"$f":"IF(N13=1,\" 1 \",\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(H12<0,\"y\",\"\")","v":""},{"$f":"IF(H12<0,ABS(H12),\"\")","v":""},null,{"$f":"IF(N13=1,\"y\",\"\")","v":""}]

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[]
[null,null,null,null,null,null,"Simplify:"]
[]
[null,null,null,{"$f":"H4+(H4*(INT(RAND()*7)))","v":6},"y",{"$f":"-1+(INT(RAND()*10))","v":6},"÷",{"$f":"1+INT(4*RAND())","v":2},"y",{"$f":"-2+(INT(RAND()*10))","v":4}]
[null,null,null,{"$f":"1+INT(10*RAND())","v":3},null,null,null,{"$f":"1+INT(10*RAND())","v":1}]
[null,null,null,3,null,null,null,9]
[null,null,null,5,null,null,null,9]
[null,null,null,1,null,null,null,6]
[null,null,null,4,null,null,null,10]
[null,null,null,7,null,null,null,3]
[]
["Answer:",null,null,null,{"$f":"IF(NOT(($D4/$H4)=1),$D4/$H4,IF(AND($D4/$H4=1,($F4-$J4)=0),1,\"\"))","v":3},{"$f":"IF($F4-$J4=0,\"\",\"y\")","v":"y"},{"$f":"IF($F4-$J4=0,\"\",IF($F4-$J4=1,\"\",$F4-$J4))","v":2},{"$f":"IF($G12<0,\"=\",\"\")","v":""},{"$f":"IF($G12<0,CONCATENATE(\"  \",$G14,\"  \"),\"\")","v":""},null,{"$f":"IF($J13=1,\"=\",\"\")","v":""},{"$f":"IF($J13=1,CONCATENATE(\" \",$G14,\" \"),\"\")","v":""}]
[null,null,null,null,null,null,null,null,{"$f":"IF($G12<0,\"y\",\"\")","v":""},{"$f":"IF($G12<0,ABS($G12),\"\")","v":""},null,{"$f":"IF($J13=1,\"y\",\"\")","v":""}]
[null,null,null,null,null,null,{"$f":"D4/H4","v":3}]