text stringlengths 256 2k | language stringclasses 2
values |
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numbers: gcd
------------
Issue: Calculate the highest common factor of 90300 and 11900.
Gives: 700
Issue: What is the highest common factor of 265 and 20?
Gives: 5
Issue: What is the highest common factor of 890 and 86440?
Gives: 10
Issue: What is the highest common divisor of 318 and 384?
Gives: 6
Issue: What is the ... | english |
measurement: conversion
-----------------------
Case: What is one quarter of a litre in millilitres?
Reply: 250
Case: What is 3/40 of a millennium in years?
Reply: 75
Case: How many milliseconds are there in 1/10 of a minute?
Reply: 6000
Case: What is 856174.3 years in millennia?
Reply: 856.1743
Case: How many months a... | english |
numbers: lcm
------------
Test item: Calculate the least common multiple of 1620 and 408.
Calculation: 55080
Test item: What is the lowest common multiple of 59170173 and 177510519?
Calculation: 177510519
Test item: Calculate the lowest common multiple of 19827 and 9.
Calculation: 19827
Test item: What is the common de... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is 17448238 to the power of 1/3, to the nearest integer?
Interpretation: 259
Part A: What is the square root of 1391056 to the nearest integer?
Interpretation: 1179
Part A: What is the square root of 1585 to the nearest integer?
Interpretati... | english |
probability: swr p sequence
---------------------------
Math Q: Three letters picked without replacement from fffffffgfffffffgffff. What is prob of sequence ffg?
Eval: 17/190
Math Q: Three letters picked without replacement from wbojjbjbonjobnjo. What is prob of sequence nno?
Eval: 1/420
Math Q: What is prob of sequenc... | english |
probability: swr p sequence
---------------------------
Statement: Two letters picked without replacement from augaugagggag. Give prob of sequence aa.
Explanation: 1/11
Statement: Two letters picked without replacement from jhwwhhh. Give prob of sequence jh.
Explanation: 2/21
Statement: What is prob of sequence txxl wh... | english |
numbers: is prime
-----------------
Topic: Is 52795 composite?
Solution: True
Topic: Is 3816578 a composite number?
Solution: True
Topic: Is 161340591473 composite?
Solution: True
Topic: Is 82307497 composite?
Solution: False
Topic: Is 408011 composite?
Solution: False
Topic: Is 756934207 a prime number?
Solution: True... | english |
measurement: conversion
-----------------------
Example: What is 155270.5 millennia in years?
Response: 155270500
Example: How many tonnes are there in 7087.642ug?
Response: 0.000000007087642
Example: What is eleven eighths of a microsecond in nanoseconds?
Response: 1375
Example: How many millennia are there in 333535.... | english |
measurement: time
-----------------
Part A: How many minutes are there between 10:59 AM and 10:58 PM?
Response: 719
Part A: What is 313 minutes before 4:49 PM?
Response: 11:36 AM
Part A: How many minutes are there between 3:42 PM and 4:42 PM?
Response: 60
Part A: What is 126 minutes after 9:46 PM?
Response: 11:52 PM
Pa... | english |
probability: swr p sequence
---------------------------
Question: Three letters picked without replacement from {e: 3, p: 2}. What is prob of sequence eep?
Eval: 1/5
Question: Four letters picked without replacement from qvsvsviswqqvss. What is prob of sequence ivvv?
Eval: 1/1001
Question: What is prob of sequence yy w... | english |
probability: swr p sequence
---------------------------
Exercise: Four letters picked without replacement from {d: 7, g: 1, q: 6, f: 2, h: 2}. What is prob of sequence fqgq?
A.: 1/1224
Exercise: Three letters picked without replacement from {v: 2, z: 7, s: 1, k: 1, u: 4}. Give prob of sequence kvv.
A.: 1/1365
Exercise:... | english |
probability: swr p level set
----------------------------
Problem #: What is prob of picking 1 g and 1 d when two letters picked without replacement from {j: 2, f: 5, e: 4, d: 2, g: 1, q: 1}?
Resolution: 2/105
Problem #: What is prob of picking 1 c and 1 y when two letters picked without replacement from yyycycyyycycyy... | english |
numbers: is factor
------------------
Q: Is 33 a factor of 7671414?
Calculation: False
Q: Is 26 a factor of 4911?
Calculation: False
Q: Is 17 a factor of 1191304410?
Calculation: True
Q: Does 12 divide 276?
Calculation: True
Q: Is 1812237144 a multiple of 15?
Calculation: False
Q: Is 26 a factor of 109236?
Calculation:... | english |
probability: swr p level set
----------------------------
Let us solve: Four letters picked without replacement from sorervgrogor. What is prob of picking 1 r, 1 g, 1 o, and 1 s?
Steps: 8/165
Let us solve: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from skns.
Steps: 1/6
Let us sol... | english |
measurement: time
-----------------
Example: How many minutes are there between 9:10 AM and 3:56 PM?
Finding: 406
Example: What is 291 minutes after 7:20 PM?
Finding: 12:11 AM
Example: How many minutes are there between 8:20 PM and 4:45 AM?
Finding: 505
Example: How many minutes are there between 5:09 AM and 11:20 AM?
... | english |
probability: swr p level set
----------------------------
Issue: What is prob of picking 1 m and 3 j when four letters picked without replacement from emejjjejjeeeme?
Result: 20/1001
Issue: Four letters picked without replacement from {m: 1, j: 1, d: 5, z: 1, r: 3, l: 3}. Give prob of picking 2 l, 1 m, and 1 d.
Result:... | english |
numbers: gcd
------------
Scenario: What is the highest common factor of 28671849 and 72758?
Eval: 5197
Scenario: What is the greatest common divisor of 61644 and 73442288?
Eval: 1868
Scenario: What is the highest common factor of 11105 and 9432587?
Eval: 2221
Scenario: What is the highest common factor of 126 and 144?... | english |
numbers: place value
--------------------
Task: What is the ten thousands digit of 201018263?
Fix: 1
Task: What is the hundreds digit of 4902232?
Fix: 2
Task: What is the hundreds digit of 201623?
Fix: 6
Task: What is the units digit of 145320?
Fix: 0
Task: What is the tens digit of 1859?
Fix: 5
Task: What is the thous... | english |
numbers: lcm
------------
Test item: What is the smallest common multiple of 11680 and 148920?
Solution: 595680
Test item: Calculate the lowest common multiple of 4440 and 1776.
Solution: 8880
Test item: What is the common denominator of -101/4944 and 79/11124?
Solution: 44496
Test item: What is the smallest common mul... | english |
probability: swr p level set
----------------------------
Step: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from kpsss.
Ans: 3/10
Step: Two letters picked without replacement from ssussssusususz. What is prob of picking 1 u and 1 s?
Ans: 36/91
Step: Three letters picked without rep... | english |
numbers: is factor
------------------
Math Problem: Is 25 a factor of 936826?
Thus: False
Math Problem: Does 48 divide 547646?
Thus: False
Math Problem: Is 6 a factor of 77044303?
Thus: False
Math Problem: Is 13 a factor of 103382?
Thus: False
Math Problem: Does 50 divide 52642600?
Thus: True
Math Problem: Is 5 a facto... | english |
numbers: div remainder
----------------------
Topic: Calculate the remainder when 884 is divided by 169.
Workthrough: 39
Topic: What is the remainder when 264969 is divided by 622?
Workthrough: 619
Topic: What is the remainder when 298 is divided by 50?
Workthrough: 48
Topic: Calculate the remainder when 159299 is divi... | english |
probability: swr p sequence
---------------------------
Let us solve: What is prob of sequence ev when two letters picked without replacement from {e: 1, v: 1, b: 1}?
Solution: 1/6
Let us solve: Two letters picked without replacement from {m: 7, y: 4, n: 3}. What is prob of sequence yn?
Solution: 6/91
Let us solve: Fou... | english |
numbers: place value
--------------------
Example: What is the thousands digit of 4605?
Clarification: 4
Example: What is the units digit of 322440066?
Clarification: 6
Example: What is the units digit of 5096516?
Clarification: 6
Example: What is the units digit of 1236?
Clarification: 6
Example: What is the tens digi... | english |
numbers: div remainder
----------------------
Topic: What is the remainder when 31 is divided by 21?
Gives: 10
Topic: Calculate the remainder when 585 is divided by 147.
Gives: 144
Topic: Calculate the remainder when 81547671 is divided by 39.
Gives: 36
Topic: What is the remainder when 11409 is divided by 6?
Gives: 3
... | english |
measurement: time
-----------------
Task: How many minutes are there between 12:35 PM and 8:43 PM?
Workthrough: 488
Task: What is 159 minutes after 6:18 AM?
Workthrough: 8:57 AM
Task: How many minutes are there between 5:46 PM and 6:39 PM?
Workthrough: 53
Task: What is 56 minutes after 4:47 AM?
Workthrough: 5:43 AM
Tas... | english |
measurement: conversion
-----------------------
Math Problem: How many nanograms are there in seven quarters of a microgram?
Ans: 1750
Math Problem: How many nanograms are there in 7/4 of a microgram?
Ans: 1750
Math Problem: What is 87.53299 millilitres in litres?
Ans: 0.08753299
Math Problem: How many nanograms are th... | english |
numbers: div remainder
----------------------
Challenge: Calculate the remainder when 57188 is divided by 561.
Soln: 527
Challenge: Calculate the remainder when 83 is divided by 3.
Soln: 2
Challenge: Calculate the remainder when 258 is divided by 87.
Soln: 84
Challenge: Calculate the remainder when 213 is divided by 16... | english |
numbers: is prime
-----------------
Topic: Is 3532881721 prime?
Answer: True
Topic: Is 30260059 composite?
Answer: False
Topic: Is 823688519 prime?
Answer: True
Topic: Is 21263 prime?
Answer: False
Topic: Is 446 a composite number?
Answer: True
Topic: Is 47629 a prime number?
Answer: True
Topic: Is 38011453 composite?
... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is the square root of 32548414 to the nearest integer?
Calculation: 5705
Item: What is the cube root of 698022 to the nearest integer?
Calculation: 89
Item: What is 6443 to the power of 1/3, to the nearest integer?
Calculation: 19
Item: What i... | english |
probability: swr p sequence
---------------------------
Challenge: What is prob of sequence pnww when four letters picked without replacement from {w: 2, s: 2, p: 1, n: 1}?
Answer: 1/180
Challenge: Two letters picked without replacement from {k: 7, q: 7}. What is prob of sequence kq?
Answer: 7/26
Challenge: Three lette... | english |
numbers: place value
--------------------
Example: What is the ten thousands digit of 3085921?
Response: 8
Example: What is the millions digit of 2579721?
Response: 2
Example: What is the thousands digit of 587354?
Response: 7
Example: What is the thousands digit of 156108?
Response: 6
Example: What is the ten millions... | english |
numbers: is prime
-----------------
Given: Is 18440166827 prime?
Key: False
Given: Is 59771 a composite number?
Key: False
Given: Is 6907 a composite number?
Key: False
Given: Is 1823932553 composite?
Key: True
Given: Is 26014529 a composite number?
Key: True
Given: Is 3251447 composite?
Key: False
Given: Is 206610941 ... | english |
probability: swr p sequence
---------------------------
Item: Four letters picked without replacement from mbmmmmmmbmmmmmmmmmm. What is prob of sequence mbmb?
Solution: 1/171
Item: What is prob of sequence xx when two letters picked without replacement from {z: 16, x: 2}?
Solution: 1/153
Item: What is prob of sequence ... | english |
numbers: place value
--------------------
Example: What is the millions digit of 471330314?
Interpretation: 1
Example: What is the hundreds digit of 16934?
Interpretation: 9
Example: What is the ten thousands digit of 54064?
Interpretation: 5
Example: What is the hundred thousands digit of 248332?
Interpretation: 2
Exa... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is the square root of 8206637989 to the nearest integer?
A: 90590
Ask: What is the third root of 136108 to the nearest integer?
A: 51
Ask: What is the square root of 14688571 to the nearest integer?
A: 3833
Ask: What is the fourth root of 91609... | english |
measurement: conversion
-----------------------
Task: What is fourty-eight fifths of a litre in millilitres?
Sol: 9600
Task: How many millilitres are there in 56562.39l?
Sol: 56562390
Task: How many centuries are there in 39201.38 decades?
Sol: 3920.138
Task: How many kilograms are there in 31/5 of a tonne?
Sol: 6200
T... | english |
numbers: is factor
------------------
Puzzle: Is 620 a multiple of 4?
Answer: True
Puzzle: Is 1383779725 a multiple of 19?
Answer: False
Puzzle: Is 65238 even?
Answer: True
Puzzle: Is 833328 a multiple of 9?
Answer: True
Puzzle: Is 31 a factor of 465249922?
Answer: True
Puzzle: Is 11 a factor of 2057?
Answer: True
Puzz... | english |
numbers: gcd
------------
Puzzle: What is the highest common factor of 29 and 7047?
Soln: 29
Puzzle: Calculate the highest common divisor of 27 and 22329.
Soln: 27
Puzzle: What is the greatest common factor of 6716 and 1863?
Soln: 23
Puzzle: What is the greatest common factor of 402 and 40796166?
Soln: 402
Puzzle: What... | english |
probability: swr p level set
----------------------------
Math Problem: Four letters picked without replacement from hjjagjajjgjjjj. What is prob of picking 2 a and 2 j?
Sol: 36/1001
Math Problem: Two letters picked without replacement from {g: 1, k: 1, r: 1, o: 1, u: 1}. Give prob of picking 1 r and 1 g.
Sol: 1/10
Mat... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the square root of 223398 to the nearest integer?
Key: 473
Exercise: What is the square root of 1631 to the nearest integer?
Key: 40
Exercise: What is 1492086844 to the power of 1/3, to the nearest integer?
Key: 1143
Exercise: What is t... | english |
probability: swr p level set
----------------------------
What if: What is prob of picking 4 f when four letters picked without replacement from {f: 5, w: 2, y: 7}?
Therefore: 5/1001
What if: What is prob of picking 1 a and 1 h when two letters picked without replacement from tbhar?
Therefore: 1/10
What if: What is pro... | english |
probability: swr p level set
----------------------------
Q-: Three letters picked without replacement from {w: 4, k: 2, g: 2, r: 2}. What is prob of picking 1 r, 1 w, and 1 g?
Hence: 2/15
Q-: Three letters picked without replacement from sksssssskkssssksssss. Give prob of picking 3 k.
Hence: 1/285
Q-: What is prob of ... | english |
numbers: is factor
------------------
Given: Does 20 divide 3501?
Outcome: False
Given: Is 19 a factor of 4161?
Outcome: True
Given: Is 407745 a multiple of 195?
Outcome: True
Given: Does 283 divide 309885?
Outcome: True
Given: Is 714 a multiple of 17?
Outcome: True
Given: Is 355571699 a multiple of 13?
Outcome: False
... | english |
measurement: time
-----------------
Q: What is 144 minutes after 4:51 PM?
Calculation: 7:15 PM
Q: How many minutes are there between 8:16 PM and 6:27 AM?
Calculation: 611
Q: How many minutes are there between 4:49 AM and 8:06 AM?
Calculation: 197
Q: What is 240 minutes after 1:51 AM?
Calculation: 5:51 AM
Q: How many mi... | english |
numbers: gcd
------------
Scenario: What is the highest common factor of 22775 and 200?
Ans: 25
Scenario: Calculate the greatest common factor of 16785 and 45.
Ans: 45
Scenario: Calculate the greatest common factor of 3330 and 18130.
Ans: 370
Scenario: What is the highest common factor of 25 and 20?
Ans: 5
Scenario: Wh... | english |
probability: swr p level set
----------------------------
Prompt: Three letters picked without replacement from zllluzlflzsf. Give prob of picking 1 l, 1 f, and 1 u.
Eval: 1/22
Prompt: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {t: 1, d: 1, k: 1, w: 1, g: 1}.
Eval: 1/10
Promp... | english |
probability: swr p sequence
---------------------------
Qn: What is prob of sequence mfd when three letters picked without replacement from mfdmfdfmm?
Compute: 1/21
Qn: Three letters picked without replacement from {g: 1, h: 1, f: 1, t: 1, n: 1, p: 2}. What is prob of sequence ftn?
Compute: 1/210
Qn: Calculate prob of ... | english |
probability: swr p level set
----------------------------
Question: Two letters picked without replacement from wwwwwdwrwrrwwwjrj. What is prob of picking 1 d and 1 w?
Eval: 5/68
Question: Two letters picked without replacement from {b: 2, u: 2, l: 1}. Give prob of picking 2 b.
Eval: 1/10
Question: Calculate prob of pi... | english |
numbers: place value
--------------------
Ask: What is the units digit of 7414?
A: 4
Ask: What is the hundred millions digit of 240251442?
A: 2
Ask: What is the thousands digit of 128104?
A: 8
Ask: What is the ten thousands digit of 1291537300?
A: 3
Ask: What is the tens digit of 38697?
A: 9
Ask: What is the thousands ... | english |
measurement: time
-----------------
Q=: What is 328 minutes after 7:27 AM?
Interpretation: 12:55 PM
Q=: What is 467 minutes after 7:28 AM?
Interpretation: 3:15 PM
Q=: How many minutes are there between 2:14 AM and 10:26 AM?
Interpretation: 492
Q=: What is 715 minutes after 7:28 AM?
Interpretation: 7:23 PM
Q=: What is 2... | english |
probability: swr p level set
----------------------------
Inquiry: Two letters picked without replacement from {p: 4, t: 3, i: 4, n: 3}. Give prob of picking 2 n.
Finding: 3/91
Inquiry: What is prob of picking 4 t when four letters picked without replacement from {w: 1, b: 2, k: 1, t: 11}?
Finding: 22/91
Inquiry: Four ... | english |
numbers: gcd
------------
Scenario: Calculate the greatest common factor of 60 and 64290.
Ans: 30
Scenario: Calculate the greatest common divisor of 1768 and 208.
Ans: 104
Scenario: Calculate the greatest common factor of 1036 and 70.
Ans: 14
Scenario: What is the greatest common divisor of 1525 and 125?
Ans: 25
Scenar... | english |
measurement: time
-----------------
Task: How many minutes are there between 6:47 AM and 2:12 PM?
Answer: 445
Task: How many minutes are there between 4:30 PM and 3:17 AM?
Answer: 647
Task: What is 610 minutes before 9:52 AM?
Answer: 11:42 PM
Task: What is 236 minutes before 5:20 AM?
Answer: 1:24 AM
Task: What is 145 m... | english |
numbers: place value
--------------------
Let: What is the hundreds digit of 184440?
Solution: 4
Let: What is the tens digit of 83844?
Solution: 4
Let: What is the units digit of 262444?
Solution: 4
Let: What is the units digit of 136989?
Solution: 9
Let: What is the tens digit of 319815?
Solution: 1
Let: What is the t... | english |
arithmetic: nearest integer root
--------------------------------
Challenge: What is the seventh root of 816550 to the nearest integer?
Fix: 7
Challenge: What is 325345 to the power of 1/10, to the nearest integer?
Fix: 4
Challenge: What is the tenth root of 7254 to the nearest integer?
Fix: 2
Challenge: What is the sq... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is the eighth root of 112144254 to the nearest integer?
Solution: 10
Problem: What is 194 to the power of 1/2, to the nearest integer?
Solution: 14
Problem: What is 835652332 to the power of 1/2, to the nearest integer?
Solution: 28908
Prob... | english |
numbers: is factor
------------------
Problem: Is 2380602 a multiple of 3?
Math A: True
Problem: Does 32 divide 1728?
Math A: True
Problem: Does 19 divide 127831?
Math A: False
Problem: Does 11 divide 4246?
Math A: True
Problem: Is 79 a multiple of 8?
Math A: False
Problem: Is 390 a factor of 824489?
Math A: False
Prob... | english |
numbers: is prime
-----------------
Example: Is 181580549 composite?
Sol: True
Example: Is 40632209 composite?
Sol: False
Example: Is 1273 prime?
Sol: False
Example: Is 1516883 a prime number?
Sol: True
Example: Is 784153 a prime number?
Sol: True
Example: Is 977929 prime?
Sol: False
Example: Is 226297 composite?
Sol: ... | english |
numbers: place value
--------------------
Task: What is the hundreds digit of 3321413?
A: 4
Task: What is the thousands digit of 2030436?
A: 0
Task: What is the ten thousands digit of 32782292?
A: 8
Task: What is the hundreds digit of 273?
A: 2
Task: What is the thousands digit of 577751028?
A: 1
Task: What is the tens... | english |
probability: swr p sequence
---------------------------
Part A: Two letters picked without replacement from {v: 6}. Give prob of sequence vv.
Outcome: 1
Part A: Four letters picked without replacement from {x: 2, e: 4, o: 1, a: 1}. Give prob of sequence oeex.
Outcome: 1/70
Part A: Two letters picked without replacement... | english |
numbers: is prime
-----------------
Given: Is 6658233 prime?
Result: False
Given: Is 2572543999 a prime number?
Result: True
Given: Is 18807803907 composite?
Result: True
Given: Is 17253769933 composite?
Result: False
Given: Is 4972266031 prime?
Result: True
Given: Is 2293952041 a prime number?
Result: False
Given: Is ... | english |
numbers: is factor
------------------
Math Q: Is 168 a factor of 476616?
Conclusion: True
Math Q: Does 48 divide 340608?
Conclusion: True
Math Q: Is 85627094 a multiple of 226?
Conclusion: False
Math Q: Is 30 a factor of 61812330?
Conclusion: True
Math Q: Is 152 a factor of 4734715?
Conclusion: False
Math Q: Is 936 a m... | english |
probability: swr p sequence
---------------------------
Task: Three letters picked without replacement from wewwwwwqwwwwwq. Give prob of sequence weq.
Conclusion: 11/1092
Task: Calculate prob of sequence dgd when three letters picked without replacement from {d: 3, b: 9, c: 1, g: 5}.
Conclusion: 5/816
Task: Calculate p... | english |
numbers: gcd
------------
Ask: What is the greatest common factor of 52136 and 40166?
Derivation: 266
Ask: Calculate the greatest common divisor of 1152 and 173256576.
Derivation: 384
Ask: What is the greatest common factor of 3 and 226833?
Derivation: 3
Ask: What is the greatest common factor of 3541356 and 156?
Deriv... | english |
numbers: div remainder
----------------------
Given: What is the remainder when 35657 is divided by 687?
Resolution: 620
Given: What is the remainder when 19479286 is divided by 342?
Resolution: 334
Given: What is the remainder when 260607 is divided by 26025?
Resolution: 357
Given: Calculate the remainder when 190156 ... | english |
numbers: is prime
-----------------
Example: Is 1697009 a prime number?
Hence: False
Example: Is 319715129 a prime number?
Hence: False
Example: Is 9623095 prime?
Hence: False
Example: Is 102146791 a composite number?
Hence: True
Example: Is 1728061 composite?
Hence: False
Example: Is 7993 prime?
Hence: True
Example: I... | english |
numbers: place value
--------------------
Scenario: What is the tens digit of 32915767?
Eval: 6
Scenario: What is the thousands digit of 568673?
Eval: 8
Scenario: What is the units digit of 515141?
Eval: 1
Scenario: What is the tens digit of 5719816?
Eval: 1
Scenario: What is the units digit of 24075?
Eval: 5
Scenario:... | english |
probability: swr p level set
----------------------------
Scenario: Calculate prob of picking 1 a, 1 y, and 1 x when three letters picked without replacement from {f: 3, p: 2, y: 4, x: 5, a: 5}.
Calculation: 100/969
Scenario: Three letters picked without replacement from llldddddwdldddlddld. Give prob of picking 3 l.
C... | english |
probability: swr p level set
----------------------------
Problem: What is prob of picking 2 p and 2 h when four letters picked without replacement from hlgplephhdlg?
Sol: 1/165
Problem: Three letters picked without replacement from sfssgfsssassssgogfg. What is prob of picking 1 g, 1 f, and 1 s?
Sol: 40/323
Problem: Th... | english |
numbers: gcd
------------
Input: Calculate the highest common divisor of 78 and 6609600.
Soln: 6
Input: Calculate the highest common divisor of 4165 and 1764.
Soln: 49
Input: What is the highest common factor of 1197913466 and 716?
Soln: 358
Input: Calculate the greatest common divisor of 695 and 5.
Soln: 5
Input: Calc... | english |
probability: swr p sequence
---------------------------
Problem: What is prob of sequence kat when three letters picked without replacement from {k: 1, a: 1, t: 2}?
Finding: 1/12
Problem: Calculate prob of sequence agaa when four letters picked without replacement from ggga.
Finding: 0
Problem: What is prob of sequence... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence xxxy when four letters picked without replacement from yxxxyxx?
Thus: 1/7
Ask: Two letters picked without replacement from {q: 1, t: 4, i: 6}. Give prob of sequence iq.
Thus: 3/55
Ask: Calculate prob of sequence pp when two letters pi... | english |
numbers: div remainder
----------------------
Item: Calculate the remainder when 1798340 is divided by 1904.
A.: 964
Item: What is the remainder when 272 is divided by 13?
A.: 12
Item: What is the remainder when 1131432 is divided by 261?
A.: 258
Item: What is the remainder when 66 is divided by 59?
A.: 7
Item: What is... | english |
probability: swr p level set
----------------------------
Exercise: What is prob of picking 2 b and 1 o when three letters picked without replacement from hbkkokbkbrvkkkkr?
Steps: 3/560
Exercise: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from velevxzzcvex.
Steps: 0
Exercise: Cal... | english |
measurement: conversion
-----------------------
Part A: How many months are there in 55/3 of a decade?
Gives: 2200
Part A: Convert 6.6747789 minutes to days.
Gives: 0.004635263125
Part A: What is 21/2 of a litre in millilitres?
Gives: 10500
Part A: What is 155.8453 centuries in millennia?
Gives: 15.58453
Part A: How ma... | english |
numbers: is factor
------------------
Example: Is 401150 a multiple of 50?
Response: True
Example: Is 11 a factor of 21087?
Response: True
Example: Is 25 a factor of 1125?
Response: True
Example: Does 31 divide 133?
Response: False
Example: Is 11 a factor of 165143?
Response: True
Example: Does 36 divide 150461413?
Res... | english |
measurement: time
-----------------
Q: What is 195 minutes before 8:18 AM?
Therefore: 5:03 AM
Q: How many minutes are there between 6:16 PM and 1:55 AM?
Therefore: 459
Q: How many minutes are there between 12:35 AM and 5:45 AM?
Therefore: 310
Q: How many minutes are there between 8:13 PM and 1:33 AM?
Therefore: 320
Q: ... | english |
probability: swr p level set
----------------------------
Inquiry: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from wwwjjmwbwwjb.
Soln: 1/11
Inquiry: Two letters picked without replacement from {x: 1, n: 5, l: 12}. Give prob of picking 2 l.
Soln: 22/51
Inquiry: Two letters picked w... | english |
numbers: div remainder
----------------------
Q-: What is the remainder when 366649 is divided by 991?
Math A: 970
Q-: What is the remainder when 1098058 is divided by 19607?
Math A: 66
Q-: What is the remainder when 984385 is divided by 330?
Math A: 325
Q-: What is the remainder when 1170 is divided by 120?
Math A: 90... | english |
numbers: is prime
-----------------
Math Problem: Is 22370893 prime?
Solution: False
Math Problem: Is 26056873 prime?
Solution: True
Math Problem: Is 472309 prime?
Solution: True
Math Problem: Is 6688967 a prime number?
Solution: True
Math Problem: Is 210391 a composite number?
Solution: False
Math Problem: Is 36973 co... | english |
probability: swr p level set
----------------------------
What if: Three letters picked without replacement from pqeqewca. Give prob of picking 1 c, 1 a, and 1 e.
Key: 1/28
What if: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from agoaaii.
Key: 1/7
What if: Three letters picked wit... | english |
probability: swr p sequence
---------------------------
Prompt: What is prob of sequence lq when two letters picked without replacement from {l: 2, q: 3, w: 7}?
Fix: 1/22
Prompt: Three letters picked without replacement from {m: 5}. What is prob of sequence mmm?
Fix: 1
Prompt: Four letters picked without replacement fr... | english |
measurement: time
-----------------
Q: What is 532 minutes after 7:33 PM?
Workthrough: 4:25 AM
Q: What is 496 minutes after 3:58 AM?
Workthrough: 12:14 PM
Q: How many minutes are there between 2:06 AM and 6:49 AM?
Workthrough: 283
Q: What is 142 minutes after 5:45 PM?
Workthrough: 8:07 PM
Q: How many minutes are there ... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 29719 is divided by 74?
Answer: 45
Example: What is the remainder when 375 is divided by 24?
Answer: 15
Example: Calculate the remainder when 324337 is divided by 8535.
Answer: 7
Example: What is the remainder when 5300 is divided by 56?
... | english |
numbers: is prime
-----------------
Test item: Is 46390183517 prime?
Ans: True
Test item: Is 2563 a prime number?
Ans: False
Test item: Is 46151086829 a composite number?
Ans: False
Test item: Is 14713 a composite number?
Ans: False
Test item: Is 311117 composite?
Ans: True
Test item: Is 27580388587 composite?
Ans: Tru... | english |
measurement: time
-----------------
Subquestion: What is 482 minutes after 7:51 PM?
Reply: 3:53 AM
Subquestion: How many minutes are there between 7:12 AM and 6:34 PM?
Reply: 682
Subquestion: How many minutes are there between 7:57 PM and 2:25 AM?
Reply: 388
Subquestion: What is 576 minutes before 4:17 AM?
Reply: 6:41 ... | english |
numbers: gcd
------------
Question: Calculate the highest common factor of 8910 and 55935.
Explanation: 495
Question: What is the highest common factor of 3293 and 148?
Explanation: 37
Question: What is the greatest common divisor of 108 and 63?
Explanation: 9
Question: What is the highest common divisor of 272311 and ... | english |
numbers: place value
--------------------
Exercise: What is the thousands digit of 131518?
Workthrough: 1
Exercise: What is the ten millions digit of 52233460?
Workthrough: 5
Exercise: What is the hundred thousands digit of 2007283?
Workthrough: 0
Exercise: What is the hundreds digit of 2848?
Workthrough: 8
Exercise: W... | english |
measurement: conversion
-----------------------
Ask: How many kilometers are there in 65343.19mm?
Result: 0.06534319
Ask: How many microseconds are there in 9210.242 minutes?
Result: 552614520000
Ask: What is 59/4 of a decade in months?
Result: 1770
Ask: How many years are there in 53/5 of a century?
Result: 1060
Ask: ... | english |
probability: swr p sequence
---------------------------
Puzzle: Calculate prob of sequence qh when two letters picked without replacement from hqqo.
Eval: 1/6
Puzzle: Calculate prob of sequence ne when two letters picked without replacement from xnnffffnnfxfeneffn.
Eval: 2/51
Puzzle: What is prob of sequence damm when ... | english |
measurement: conversion
-----------------------
Step: How many decades are there in 0.8063485 years?
Solution: 0.08063485
Step: How many grams are there in 5/4 of a kilogram?
Solution: 1250
Step: What is 0.7279405t in grams?
Solution: 727940.5
Step: What is one fifth of a millennium in months?
Solution: 2400
Step: How ... | english |
measurement: conversion
-----------------------
Situation: What is three fifths of a decade in years?
Solution: 6
Situation: Convert 63.8228 weeks to milliseconds.
Solution: 38600029440
Situation: How many months are there in sixty-one quarters of a year?
Solution: 183
Situation: How many micrometers are there in 19/4 ... | english |
numbers: is prime
-----------------
Subquestion: Is 18912973 prime?
A.: False
Subquestion: Is 34230307 a composite number?
A.: True
Subquestion: Is 280323023 a composite number?
A.: False
Subquestion: Is 66531263 composite?
A.: False
Subquestion: Is 118702 a composite number?
A.: True
Subquestion: Is 145942189 prime?
A... | english |
numbers: place value
--------------------
Input: What is the units digit of 341057?
Finding: 7
Input: What is the ten thousands digit of 159328?
Finding: 5
Input: What is the tens digit of 361?
Finding: 6
Input: What is the thousands digit of 603375?
Finding: 3
Input: What is the tens digit of 608172286?
Finding: 8
Inp... | english |
numbers: is prime
-----------------
Conundrum: Is 2715341 prime?
Answer: False
Conundrum: Is 7741 composite?
Answer: False
Conundrum: Is 38821 a composite number?
Answer: False
Conundrum: Is 2346359483 composite?
Answer: True
Conundrum: Is 13071321661 prime?
Answer: False
Conundrum: Is 120749 prime?
Answer: True
Conund... | english |
numbers: is prime
-----------------
Exercise: Is 216491129 a prime number?
Sol: True
Exercise: Is 3632288839 composite?
Sol: False
Exercise: Is 357338483 a composite number?
Sol: True
Exercise: Is 11867256449 prime?
Sol: True
Exercise: Is 560118539 a composite number?
Sol: False
Exercise: Is 42539129 a prime number?
So... | english |
numbers: is prime
-----------------
Task: Is 19446299 composite?
Reply: False
Task: Is 2375935799 a prime number?
Reply: True
Task: Is 397322423 composite?
Reply: False
Task: Is 782444387 a composite number?
Reply: True
Task: Is 13421703 composite?
Reply: True
Task: Is 508014503 prime?
Reply: True
Task: Is 1543 composi... | english |
probability: swr p level set
----------------------------
Let us solve: What is prob of picking 2 v when two letters picked without replacement from vvvvvsvvvvvvv?
Response: 11/13
Let us solve: Two letters picked without replacement from {c: 1, i: 3, x: 1, h: 1, k: 2, o: 5}. Give prob of picking 2 k.
Response: 1/78
Let... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 6, c: 1, b: 4, p: 4, j: 1, i: 2}.
Finding: 8/51
Task: What is prob of picking 3 d when three letters picked without replacement from {d: 10, l: 2}?
Finding: 6/11
Tas... | english |
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