text stringlengths 256 2k | language stringclasses 2
values |
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numbers: is prime
-----------------
Example: Is 2494913 composite?
Sol: False
Example: Is 535663153 composite?
Sol: True
Example: Is 147751 composite?
Sol: True
Example: Is 1106719 composite?
Sol: True
Example: Is 20910787 prime?
Sol: True
Example: Is 4064357 prime?
Sol: False
Example: Is 9491 prime?
Sol: True
Example:... | english |
arithmetic: nearest integer root
--------------------------------
Qn: What is 1020 to the power of 1/10, to the nearest integer?
Hence: 2
Qn: What is 281 to the power of 1/3, to the nearest integer?
Hence: 7
Qn: What is the sixth root of 306285 to the nearest integer?
Hence: 8
Qn: What is 7893067 to the power of 1/2, t... | english |
numbers: gcd
------------
Q: What is the highest common divisor of 95 and 2394?
Sol: 19
Q: Calculate the greatest common divisor of 227509 and 9289739.
Sol: 1271
Q: What is the greatest common divisor of 4 and 972?
Sol: 4
Q: Calculate the greatest common factor of 202 and 153722.
Sol: 202
Q: What is the highest common ... | english |
numbers: place value
--------------------
Q: What is the hundreds digit of 595?
A: 5
Q: What is the ten thousands digit of 663030?
A: 6
Q: What is the hundred millions digit of 571844325?
A: 5
Q: What is the ten millions digit of 706965465?
A: 0
Q: What is the units digit of 701020987?
A: 7
Q: What is the tens digit of... | english |
probability: swr p sequence
---------------------------
Exercise: What is prob of sequence dd when two letters picked without replacement from {g: 4, h: 1, k: 1, d: 2, m: 1}?
Sol: 1/36
Exercise: What is prob of sequence jj when two letters picked without replacement from {j: 9}?
Sol: 1
Exercise: Calculate prob of seque... | english |
measurement: time
-----------------
Conundrum: How many minutes are there between 11:13 PM and 8:08 AM?
Output: 535
Conundrum: How many minutes are there between 2:58 PM and 12:43 AM?
Output: 585
Conundrum: What is 96 minutes before 2:27 PM?
Output: 12:51 PM
Conundrum: How many minutes are there between 10:09 AM and 9:... | english |
probability: swr p level set
----------------------------
Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from ssznfsszsbzzszszzssz.
Calculation: 7/285
Question: Three letters picked without replacement from ggdme. Give prob of picking 1 g, 1 d, and 1 e.
Calculation: 1/5
Qu... | english |
numbers: is prime
-----------------
Exercise: Is 303139 prime?
Eval: True
Exercise: Is 6926582093 a prime number?
Eval: True
Exercise: Is 41303 prime?
Eval: False
Exercise: Is 2485850491 prime?
Eval: True
Exercise: Is 13238207 a prime number?
Eval: True
Exercise: Is 895643803 prime?
Eval: False
Exercise: Is 1065763 com... | english |
probability: swr p level set
----------------------------
Test item: Two letters picked without replacement from {o: 8, f: 2}. What is prob of picking 2 f?
Thus: 1/45
Test item: Two letters picked without replacement from mkkdkumdddkukkkmkmke. What is prob of picking 1 u and 1 d?
Thus: 4/95
Test item: Calculate prob of... | english |
numbers: is factor
------------------
Task: Is 169498412 a multiple of 32?
Resolution: False
Task: Is 138 a factor of 1242?
Resolution: True
Task: Is 4 a factor of 15482?
Resolution: False
Task: Does 33 divide 3762?
Resolution: True
Task: Is 347 a factor of 1054858313?
Resolution: False
Task: Is 809508 a multiple of 6?... | english |
probability: swr p sequence
---------------------------
Exercise: Two letters picked without replacement from {i: 5, p: 5, v: 1, c: 2, q: 1, x: 2}. Give prob of sequence qi.
Ans: 1/48
Exercise: Two letters picked without replacement from {d: 2, e: 4, b: 2, u: 1}. Give prob of sequence dd.
Ans: 1/36
Exercise: Two letter... | english |
numbers: lcm
------------
Given: What is the least common multiple of 592658 and 80817?
Clarification: 1777974
Given: What is the common denominator of -35/100914 and -33/16958?
Clarification: 6155754
Given: Calculate the smallest common multiple of 128 and 16.
Clarification: 128
Given: What is the least common multipl... | english |
probability: swr p sequence
---------------------------
Request: What is prob of sequence jkh when three letters picked without replacement from jrckckrccjhckhckck?
Soln: 5/1224
Request: What is prob of sequence udu when three letters picked without replacement from {k: 2, u: 10, d: 3}?
Soln: 9/91
Request: Calculate pr... | english |
numbers: lcm
------------
Statement: Calculate the lowest common multiple of 152856 and 152856.
Response: 152856
Statement: Calculate the common denominator of 71/9 and 67/6224361.
Response: 18673083
Statement: What is the common denominator of -137/402 and 59/2144?
Response: 6432
Statement: What is the smallest common... | english |
probability: swr p level set
----------------------------
Problem Statement: Three letters picked without replacement from {k: 3, j: 3, v: 1, z: 8, d: 1, l: 3}. What is prob of picking 1 d and 2 l?
Therefore: 1/323
Problem Statement: What is prob of picking 2 t and 2 e when four letters picked without replacement from ... | english |
numbers: div remainder
----------------------
Q: What is the remainder when 194 is divided by 51?
Derivation: 41
Q: What is the remainder when 70 is divided by 14?
Derivation: 0
Q: What is the remainder when 1703 is divided by 18?
Derivation: 11
Q: Calculate the remainder when 185704255 is divided by 7378.
Derivation: ... | english |
numbers: place value
--------------------
Prompt: What is the hundreds digit of 201?
Solution: 2
Prompt: What is the hundreds digit of 16428?
Solution: 4
Prompt: What is the ten thousands digit of 84130?
Solution: 8
Prompt: What is the ten thousands digit of 49775822?
Solution: 7
Prompt: What is the units digit of 2236... | english |
numbers: place value
--------------------
Puzzle: What is the hundred millions digit of 2478765888?
Result: 4
Puzzle: What is the units digit of 62112?
Result: 2
Puzzle: What is the ten thousands digit of 11799?
Result: 1
Puzzle: What is the units digit of 2244106561?
Result: 1
Puzzle: What is the thousands digit of 30... | english |
numbers: div remainder
----------------------
Problem: What is the remainder when 38714 is divided by 11671?
Reply: 3701
Problem: What is the remainder when 1293 is divided by 429?
Reply: 6
Problem: Calculate the remainder when 305 is divided by 80.
Reply: 65
Problem: What is the remainder when 20252458 is divided by 4... | english |
numbers: is prime
-----------------
Math Q: Is 26947 a prime number?
Final Answer: True
Math Q: Is 116867203049 prime?
Final Answer: False
Math Q: Is 6749 composite?
Final Answer: True
Math Q: Is 15611 prime?
Final Answer: False
Math Q: Is 802253 composite?
Final Answer: False
Math Q: Is 8467 a prime number?
Final Answ... | english |
numbers: place value
--------------------
Q=: What is the thousands digit of 1186?
Output: 1
Q=: What is the hundreds digit of 3090833?
Output: 8
Q=: What is the tens digit of 512?
Output: 1
Q=: What is the ten thousands digit of 2409902483?
Output: 0
Q=: What is the units digit of 41142?
Output: 2
Q=: What is the hund... | english |
numbers: div remainder
----------------------
Prompt: Calculate the remainder when 2817 is divided by 160.
Hence: 97
Prompt: What is the remainder when 1116 is divided by 16?
Hence: 12
Prompt: What is the remainder when 381 is divided by 23?
Hence: 13
Prompt: What is the remainder when 826 is divided by 46?
Hence: 44
P... | english |
probability: swr p level set
----------------------------
What if: Calculate prob of picking 3 y when three letters picked without replacement from dvyyyvndyyyyydynyvy.
Result: 55/323
What if: What is prob of picking 4 a when four letters picked without replacement from uaauaaaaauuuauauauu?
Result: 35/646
What if: Four... | english |
measurement: conversion
-----------------------
Query: What is 384.9927 centimeters in kilometers?
Yields: 0.003849927
Query: What is 6301.246 tonnes in micrograms?
Yields: 6301246000000000
Query: Convert 88.19487 months to decades.
Yields: 0.73495725
Query: How many minutes are there in 4/7 of a week?
Yields: 5760
Que... | english |
probability: swr p level set
----------------------------
Part A: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {b: 3, t: 5, x: 3, s: 1, d: 1, o: 1}.
Answer: 3/91
Part A: Four letters picked without replacement from aaezdedzegeeezz. Give prob of picking 1 e, 2 a, and 1 d.
Answer... | english |
numbers: place value
--------------------
Challenge: What is the ten thousands digit of 85462863?
Final Answer: 6
Challenge: What is the hundreds digit of 80486?
Final Answer: 4
Challenge: What is the millions digit of 16374988?
Final Answer: 6
Challenge: What is the tens digit of 2537529?
Final Answer: 2
Challenge: Wh... | english |
numbers: div remainder
----------------------
Given: Calculate the remainder when 203 is divided by 102.
Answer: 101
Given: Calculate the remainder when 229 is divided by 31.
Answer: 12
Given: What is the remainder when 109 is divided by 39?
Answer: 31
Given: What is the remainder when 134 is divided by 36?
Answer: 26
... | english |
numbers: is prime
-----------------
Query: Is 56767 a prime number?
Hence: True
Query: Is 2749487491 a prime number?
Hence: True
Query: Is 184851143 composite?
Hence: False
Query: Is 61601629 composite?
Hence: True
Query: Is 569099717 a composite number?
Hence: True
Query: Is 198938 prime?
Hence: False
Query: Is 113482... | english |
arithmetic: nearest integer root
--------------------------------
Input: What is 406271674 to the power of 1/9, to the nearest integer?
Soln: 9
Input: What is 570461818 to the power of 1/3, to the nearest integer?
Soln: 829
Input: What is the cube root of 2983 to the nearest integer?
Soln: 14
Input: What is the sixth r... | english |
numbers: gcd
------------
Part A: What is the greatest common divisor of 788 and 14510232?
Final Answer: 788
Part A: What is the greatest common divisor of 308844 and 432?
Final Answer: 36
Part A: Calculate the highest common factor of 663 and 2295.
Final Answer: 51
Part A: What is the greatest common divisor of 149328... | english |
numbers: is prime
-----------------
Puzzle: Is 13458079 composite?
Soln: False
Puzzle: Is 7653731389 prime?
Soln: False
Puzzle: Is 16957469 composite?
Soln: True
Puzzle: Is 4327 prime?
Soln: True
Puzzle: Is 176387 a composite number?
Soln: True
Puzzle: Is 537497 composite?
Soln: False
Puzzle: Is 3739771 a prime number?... | english |
probability: swr p sequence
---------------------------
Given: What is prob of sequence oodo when four letters picked without replacement from dxdoxxdxx?
Solution: 0
Given: Three letters picked without replacement from {l: 9, g: 9}. Give prob of sequence glg.
Solution: 9/68
Given: Calculate prob of sequence ggll when f... | english |
measurement: time
-----------------
Request: What is 599 minutes before 4:29 AM?
Math A: 6:30 PM
Request: How many minutes are there between 10:46 PM and 8:57 AM?
Math A: 611
Request: How many minutes are there between 5:14 AM and 12:40 PM?
Math A: 446
Request: How many minutes are there between 10:43 AM and 12:19 PM?
... | english |
measurement: time
-----------------
Input: What is 211 minutes before 4:35 PM?
Yields: 1:04 PM
Input: What is 444 minutes before 4:52 PM?
Yields: 9:28 AM
Input: How many minutes are there between 4:57 AM and 5:57 AM?
Yields: 60
Input: What is 76 minutes after 11:17 AM?
Yields: 12:33 PM
Input: What is 270 minutes after ... | english |
numbers: is factor
------------------
Issue: Is 57646004 a multiple of 92?
Solution: True
Issue: Is 67 a factor of 18827?
Solution: True
Issue: Is 88 a factor of 15851264?
Solution: True
Issue: Is 82080 a multiple of 15?
Solution: True
Issue: Is 8 a multiple of 4?
Solution: True
Issue: Is 257 a factor of 422251?
Soluti... | english |
numbers: div remainder
----------------------
Q: Calculate the remainder when 4265680 is divided by 355471.
= : 28
Q: What is the remainder when 4976 is divided by 355?
= : 6
Q: What is the remainder when 44990125 is divided by 127?
= : 121
Q: Calculate the remainder when 751 is divided by 244.
= : 19
Q: Calculate the ... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 2 q when two letters picked without replacement from {m: 5, q: 4, b: 3}.
Output: 1/11
Task: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {g: 2, y: 3}.
Output: 3/5
Task: Two letters picke... | english |
probability: swr p level set
----------------------------
Statement: Calculate prob of picking 2 k, 1 i, and 1 c when four letters picked without replacement from oowkciohwoioook.
Therefore: 2/1365
Statement: Calculate prob of picking 4 b when four letters picked without replacement from {v: 10, b: 9}.
Therefore: 21/64... | english |
numbers: div remainder
----------------------
Inquiry: What is the remainder when 191504 is divided by 369?
Response: 362
Inquiry: Calculate the remainder when 7167 is divided by 434.
Response: 223
Inquiry: What is the remainder when 43357 is divided by 333?
Response: 67
Inquiry: What is the remainder when 17327 is div... | english |
numbers: is factor
------------------
Conundrum: Is 493 a factor of 583219?
Interpretation: True
Conundrum: Is 1179 a factor of 946781802?
Interpretation: True
Conundrum: Is 4147804 a multiple of 29?
Interpretation: False
Conundrum: Is 58800 a multiple of 336?
Interpretation: True
Conundrum: Is 20120304 a multiple of 7... | english |
probability: swr p sequence
---------------------------
Problem: Three letters picked without replacement from qqjqqbjaqqqggq. What is prob of sequence gqg?
A: 2/273
Problem: What is prob of sequence pn when two letters picked without replacement from gnpti?
A: 1/20
Problem: Calculate prob of sequence eee when three le... | english |
numbers: place value
--------------------
Exercise: What is the thousands digit of 2842?
Response: 2
Exercise: What is the millions digit of 2631484?
Response: 2
Exercise: What is the ten thousands digit of 32367?
Response: 3
Exercise: What is the ten thousands digit of 922328?
Response: 2
Exercise: What is the million... | english |
numbers: gcd
------------
Input: What is the highest common factor of 32912 and 33209?
Workthrough: 11
Input: What is the highest common divisor of 424 and 6871132?
Workthrough: 212
Input: What is the highest common factor of 120600 and 329850?
Workthrough: 450
Input: What is the greatest common factor of 350 and 36827... | english |
numbers: is prime
-----------------
Query: Is 20836071433 prime?
Sol: True
Query: Is 20949601 prime?
Sol: True
Query: Is 19277 a prime number?
Sol: False
Query: Is 1849914289 a composite number?
Sol: False
Query: Is 600053 prime?
Sol: True
Query: Is 20509387 composite?
Sol: True
Query: Is 261581767 a composite number?
... | english |
numbers: is prime
-----------------
Input: Is 15201833 a prime number?
Conclusion: False
Input: Is 1709989 a composite number?
Conclusion: False
Input: Is 56054561 a prime number?
Conclusion: True
Input: Is 3125417 a prime number?
Conclusion: False
Input: Is 3817799 composite?
Conclusion: True
Input: Is 8548826999 a pr... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is 752585988 to the power of 1/3, to the nearest integer?
Fix: 910
Given: What is 14059982 to the power of 1/2, to the nearest integer?
Fix: 3750
Given: What is 32859 to the power of 1/8, to the nearest integer?
Fix: 4
Given: What is the squa... | english |
arithmetic: nearest integer root
--------------------------------
What if: What is 1288165714 to the power of 1/5, to the nearest integer?
Response: 66
What if: What is the third root of 72453 to the nearest integer?
Response: 42
What if: What is 1032381231 to the power of 1/2, to the nearest integer?
Response: 32131
W... | english |
numbers: gcd
------------
Part A: Calculate the highest common factor of 70 and 315.
Compute: 35
Part A: What is the greatest common divisor of 5974 and 116?
Compute: 58
Part A: Calculate the highest common divisor of 4313 and 89.
Compute: 1
Part A: What is the highest common divisor of 234424 and 256?
Compute: 8
Part ... | english |
probability: swr p level set
----------------------------
Qn: Two letters picked without replacement from {h: 5, k: 2, x: 6}. Give prob of picking 2 h.
Response: 5/39
Qn: Three letters picked without replacement from jiijjjh. Give prob of picking 3 j.
Response: 4/35
Qn: What is prob of picking 1 e and 1 w when two lett... | english |
numbers: place value
--------------------
Query: What is the hundreds digit of 9236813?
Solution: 8
Query: What is the units digit of 28101901?
Solution: 1
Query: What is the thousands digit of 5221?
Solution: 5
Query: What is the millions digit of 29814249?
Solution: 9
Query: What is the ten thousands digit of 5316968... | english |
numbers: place value
--------------------
What if: What is the ten thousands digit of 15359?
A: 1
What if: What is the tens digit of 1570?
A: 7
What if: What is the thousands digit of 1881?
A: 1
What if: What is the ten thousands digit of 56317?
A: 5
What if: What is the hundred thousands digit of 274150909?
A: 1
What ... | english |
numbers: is prime
-----------------
What if: Is 373990999 a composite number?
Compute: True
What if: Is 1255504813 a composite number?
Compute: False
What if: Is 211681 composite?
Compute: False
What if: Is 196097 prime?
Compute: False
What if: Is 4704641 prime?
Compute: False
What if: Is 491255 a composite number?
Com... | english |
probability: swr p level set
----------------------------
Problem: Four letters picked without replacement from bbaaabaaabaab. Give prob of picking 4 b.
Key: 1/143
Problem: What is prob of picking 2 l when two letters picked without replacement from kkkkllkl?
Key: 3/28
Problem: Two letters picked without replacement fr... | english |
numbers: place value
--------------------
Exercise: What is the hundreds digit of 62881811?
Answer: 8
Exercise: What is the thousands digit of 548193?
Answer: 8
Exercise: What is the thousands digit of 18232409?
Answer: 2
Exercise: What is the units digit of 1333210?
Answer: 0
Exercise: What is the ten thousands digit ... | english |
arithmetic: nearest integer root
--------------------------------
Topic: What is the seventh root of 3162928 to the nearest integer?
Result: 8
Topic: What is the third root of 955726 to the nearest integer?
Result: 99
Topic: What is 4157682789 to the power of 1/2, to the nearest integer?
Result: 64480
Topic: What is 19... | english |
measurement: conversion
-----------------------
Case: Convert 0.346942 centuries to years.
Clarification: 34.6942
Case: How many seconds are there in 2/27 of a day?
Clarification: 6400
Case: What is 7/8 of a meter in millimeters?
Clarification: 875
Case: What is 80.20093 grams in tonnes?
Clarification: 0.00008020093
Ca... | english |
numbers: is factor
------------------
Let us solve: Is 579 a multiple of 64?
Reply: False
Let us solve: Does 103 divide 9785?
Reply: True
Let us solve: Is 1703 a factor of 15200978?
Reply: True
Let us solve: Does 27 divide 9711?
Reply: False
Let us solve: Does 9 divide 11936465?
Reply: False
Let us solve: Is 4884 a mul... | english |
probability: swr p level set
----------------------------
Q.: What is prob of picking 1 k and 1 d when two letters picked without replacement from {o: 3, r: 4, k: 1, j: 1, d: 2}?
Yields: 2/55
Q.: Two letters picked without replacement from {l: 1, r: 3, s: 1, e: 1, j: 1}. What is prob of picking 1 s and 1 j?
Yields: 1/2... | english |
numbers: place value
--------------------
Q-: What is the hundreds digit of 2823?
Math A: 8
Q-: What is the hundreds digit of 737168?
Math A: 1
Q-: What is the units digit of 583126?
Math A: 6
Q-: What is the units digit of 473427?
Math A: 7
Q-: What is the hundred millions digit of 171715632?
Math A: 1
Q-: What is the... | english |
measurement: conversion
-----------------------
Problem: Convert 56952.84cm to micrometers.
Reply: 569528400
Problem: What is thirty-three fifths of a millimeter in micrometers?
Reply: 6600
Problem: How many years are there in 3/5 of a century?
Reply: 60
Problem: What is 85917.97mg in grams?
Reply: 85.91797
Problem: Ho... | english |
numbers: gcd
------------
Question: What is the highest common factor of 456 and 244?
Hence: 4
Question: What is the greatest common divisor of 176 and 3256?
Hence: 88
Question: Calculate the highest common factor of 15369160 and 7136.
Hence: 1784
Question: Calculate the greatest common divisor of 1142 and 72180110.
He... | english |
probability: swr p sequence
---------------------------
Question: What is prob of sequence tby when three letters picked without replacement from {y: 2, m: 2, t: 1, b: 1, o: 1, f: 1}?
→: 1/168
Question: Three letters picked without replacement from dfm. What is prob of sequence fdm?
→: 1/6
Question: Three letters picke... | english |
probability: swr p level set
----------------------------
Prompt: Two letters picked without replacement from {o: 4, k: 1, m: 4, w: 1}. Give prob of picking 2 m.
A.: 2/15
Prompt: Calculate prob of picking 1 h, 1 o, and 1 k when three letters picked without replacement from {u: 1, o: 2, f: 4, k: 6, h: 1, l: 1}.
A.: 12/4... | english |
numbers: place value
--------------------
Q/A: What is the ten thousands digit of 335937752?
Resolution: 3
Q/A: What is the hundred thousands digit of 5962981?
Resolution: 9
Q/A: What is the tens digit of 2626040?
Resolution: 4
Q/A: What is the hundred millions digit of 107914973?
Resolution: 1
Q/A: What is the ten tho... | english |
measurement: time
-----------------
Statement: What is 103 minutes before 8:45 AM?
Response: 7:02 AM
Statement: What is 421 minutes after 11:06 PM?
Response: 6:07 AM
Statement: How many minutes are there between 5:29 PM and 6:11 PM?
Response: 42
Statement: What is 128 minutes after 9:12 AM?
Response: 11:20 AM
Statement... | english |
numbers: place value
--------------------
Inquiry: What is the units digit of 34663329?
Eval: 9
Inquiry: What is the thousands digit of 129344?
Eval: 9
Inquiry: What is the thousands digit of 2058?
Eval: 2
Inquiry: What is the hundred millions digit of 111263604?
Eval: 1
Inquiry: What is the thousands digit of 8054?
Ev... | english |
numbers: is factor
------------------
Item: Is 11409 a multiple of 15?
Compute: False
Item: Is 9730 a multiple of 14?
Compute: True
Item: Is 2 a factor of 2185102?
Compute: True
Item: Is 2149264 a multiple of 208?
Compute: True
Item: Does 20 divide 2888?
Compute: False
Item: Is 855624 a multiple of 66?
Compute: True
It... | english |
measurement: time
-----------------
Q-: How many minutes are there between 8:39 PM and 5:34 AM?
Solution: 535
Q-: What is 60 minutes before 1:01 PM?
Solution: 12:01 PM
Q-: What is 524 minutes after 1:05 AM?
Solution: 9:49 AM
Q-: How many minutes are there between 1:37 AM and 9:58 AM?
Solution: 501
Q-: How many minutes ... | english |
probability: swr p sequence
---------------------------
Question: Three letters picked without replacement from {p: 2, z: 1, b: 1}. What is prob of sequence zpb?
A.: 1/12
Question: Calculate prob of sequence zk when two letters picked without replacement from zvxvzvvklzzvzlkz.
A.: 1/20
Question: What is prob of sequenc... | english |
numbers: is prime
-----------------
Problem Statement: Is 714053 a composite number?
Result: True
Problem Statement: Is 47237 a composite number?
Result: False
Problem Statement: Is 247325999 a prime number?
Result: True
Problem Statement: Is 84414138157 prime?
Result: True
Problem Statement: Is 19182547 prime?
Result:... | english |
numbers: is prime
-----------------
Problem Statement: Is 4622473 a composite number?
Workthrough: True
Problem Statement: Is 16645 a composite number?
Workthrough: True
Problem Statement: Is 3371 a prime number?
Workthrough: True
Problem Statement: Is 4087392521 prime?
Workthrough: True
Problem Statement: Is 101693 a ... | english |
measurement: time
-----------------
Prompt: What is 254 minutes before 10:15 AM?
Outcome: 6:01 AM
Prompt: What is 217 minutes after 7:38 PM?
Outcome: 11:15 PM
Prompt: What is 14 minutes after 10:23 AM?
Outcome: 10:37 AM
Prompt: What is 445 minutes after 2:33 AM?
Outcome: 9:58 AM
Prompt: How many minutes are there betwe... | english |
numbers: place value
--------------------
Q-: What is the ten millions digit of 194277692?
Conclusion: 9
Q-: What is the units digit of 1751771883?
Conclusion: 3
Q-: What is the hundreds digit of 19508?
Conclusion: 5
Q-: What is the tens digit of 175993?
Conclusion: 9
Q-: What is the tens digit of 672?
Conclusion: 7
Q-... | english |
probability: swr p level set
----------------------------
Example: Three letters picked without replacement from nnggnnggcggkgkmc. Give prob of picking 1 k and 2 c.
→: 1/280
Example: What is prob of picking 1 u, 1 l, and 1 i when three letters picked without replacement from {p: 1, u: 1, i: 1, l: 1, k: 1}?
→: 1/10
Exam... | english |
numbers: is prime
-----------------
Subquestion: Is 14356278511 composite?
Soln: False
Subquestion: Is 22381 composite?
Soln: False
Subquestion: Is 2964603023 a composite number?
Soln: False
Subquestion: Is 305115181 prime?
Soln: False
Subquestion: Is 14674601 a composite number?
Soln: True
Subquestion: Is 7452433 a pr... | english |
numbers: is factor
------------------
Input: Is 54 a factor of 11880?
Clarification: True
Input: Does 134 divide 5181?
Clarification: False
Input: Is 54281621 a multiple of 8?
Clarification: False
Input: Does 10 divide 2371?
Clarification: False
Input: Is 32 a factor of 251?
Clarification: False
Input: Is 33372457 a mu... | english |
numbers: div remainder
----------------------
Topic: What is the remainder when 61487 is divided by 24?
Solution: 23
Topic: What is the remainder when 95673 is divided by 17?
Solution: 14
Topic: Calculate the remainder when 980 is divided by 107.
Solution: 17
Topic: What is the remainder when 1471912 is divided by 3904... | english |
numbers: place value
--------------------
Request: What is the hundred thousands digit of 515216609?
A: 2
Request: What is the tens digit of 302?
A: 0
Request: What is the ten millions digit of 74735935?
A: 7
Request: What is the hundred millions digit of 415097778?
A: 4
Request: What is the hundreds digit of 454472?
A... | english |
numbers: div remainder
----------------------
Subquestion: What is the remainder when 488716 is divided by 488584?
Compute: 132
Subquestion: Calculate the remainder when 394 is divided by 134.
Compute: 126
Subquestion: What is the remainder when 57099 is divided by 5530?
Compute: 1799
Subquestion: Calculate the remaind... | english |
measurement: time
-----------------
Problem: How many minutes are there between 5:37 AM and 12:31 PM?
Output: 414
Problem: What is 11 minutes before 5:03 AM?
Output: 4:52 AM
Problem: What is 292 minutes after 1:03 AM?
Output: 5:55 AM
Problem: How many minutes are there between 4:47 PM and 6:47 PM?
Output: 120
Problem: ... | english |
probability: swr p sequence
---------------------------
Part A: Three letters picked without replacement from zmzxzxzxmxzmxxmzx. Give prob of sequence mmz.
Reply: 3/170
Part A: What is prob of sequence leb when three letters picked without replacement from {l: 1, t: 9, b: 4, e: 1}?
Reply: 2/1365
Part A: Three letters p... | english |
probability: swr p level set
----------------------------
Example: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from asakskkka.
Answer: 1/7
Example: Two letters picked without replacement from {t: 2, p: 2, m: 1}. What is prob of picking 2 p?
Answer: 1/10
Example: Two letters picked... | english |
measurement: time
-----------------
Q-: What is 691 minutes before 1:45 AM?
Solution: 2:14 PM
Q-: What is 211 minutes before 9:49 PM?
Solution: 6:18 PM
Q-: How many minutes are there between 6:34 AM and 5:50 PM?
Solution: 676
Q-: What is 101 minutes after 10:32 PM?
Solution: 12:13 AM
Q-: How many minutes are there betw... | english |
numbers: place value
--------------------
Input: What is the tens digit of 28075616?
Answer: 1
Input: What is the thousands digit of 45367503?
Answer: 7
Input: What is the thousands digit of 18374?
Answer: 8
Input: What is the hundred thousands digit of 14114956?
Answer: 1
Input: What is the tens digit of 36581616?
Ans... | english |
probability: swr p sequence
---------------------------
Ask: Three letters picked without replacement from {q: 2, g: 1}. What is prob of sequence gqq?
Compute: 1/3
Ask: Calculate prob of sequence kkk when three letters picked without replacement from kckkcckkck.
Compute: 1/6
Ask: Two letters picked without replacement ... | english |
numbers: div remainder
----------------------
Situation: What is the remainder when 71996 is divided by 160?
Compute: 156
Situation: Calculate the remainder when 612133 is divided by 3045.
Compute: 88
Situation: Calculate the remainder when 147737 is divided by 29541.
Compute: 32
Situation: Calculate the remainder when... | english |
numbers: div remainder
----------------------
Task: Calculate the remainder when 59 is divided by 38.
Finding: 21
Task: Calculate the remainder when 3259 is divided by 81.
Finding: 19
Task: Calculate the remainder when 318944 is divided by 159151.
Finding: 642
Task: Calculate the remainder when 126 is divided by 44.
Fi... | english |
numbers: div remainder
----------------------
Input: What is the remainder when 2427036 is divided by 346651?
Final Answer: 479
Input: What is the remainder when 650 is divided by 14?
Final Answer: 6
Input: What is the remainder when 275 is divided by 57?
Final Answer: 47
Input: What is the remainder when 256 is divide... | english |
arithmetic: nearest integer root
--------------------------------
Q.: What is 397660 to the power of 1/9, to the nearest integer?
Calculation: 4
Q.: What is the cube root of 29987621 to the nearest integer?
Calculation: 311
Q.: What is the eighth root of 1024129 to the nearest integer?
Calculation: 6
Q.: What is 360915... | english |
numbers: place value
--------------------
Puzzle: What is the units digit of 47455?
A.: 5
Puzzle: What is the hundred thousands digit of 2420683332?
A.: 6
Puzzle: What is the thousands digit of 69939?
A.: 9
Puzzle: What is the tens digit of 11789610?
A.: 1
Puzzle: What is the ten millions digit of 496121371?
A.: 9
Puzz... | english |
numbers: is prime
-----------------
Ask: Is 90772823 a prime number?
Calculation: False
Ask: Is 86011617 a prime number?
Calculation: False
Ask: Is 7290619 composite?
Calculation: True
Ask: Is 5455229839 a composite number?
Calculation: False
Ask: Is 59238505 a prime number?
Calculation: False
Ask: Is 408841 prime?
Cal... | english |
measurement: time
-----------------
Example: How many minutes are there between 1:40 PM and 10:04 PM?
Key: 504
Example: What is 176 minutes before 5:13 AM?
Key: 2:17 AM
Example: How many minutes are there between 5:52 AM and 7:20 AM?
Key: 88
Example: What is 639 minutes after 7:29 AM?
Key: 6:08 PM
Example: How many min... | english |
numbers: place value
--------------------
Request: What is the tens digit of 600?
Eval: 0
Request: What is the ten thousands digit of 29868?
Eval: 2
Request: What is the tens digit of 6719?
Eval: 1
Request: What is the units digit of 14466138?
Eval: 8
Request: What is the units digit of 8514?
Eval: 4
Request: What is t... | english |
numbers: gcd
------------
Q): Calculate the greatest common factor of 120 and 52040.
Answer: 40
Q): Calculate the highest common factor of 390 and 154661.
Answer: 13
Q): Calculate the greatest common divisor of 6698765 and 8585.
Answer: 85
Q): Calculate the greatest common factor of 588 and 2751.
Answer: 21
Q): Calcula... | english |
measurement: conversion
-----------------------
Q/A: How many milligrams are there in 45614.63ng?
Final Answer: 0.04561463
Q/A: What is 3606.315m in micrometers?
Final Answer: 3606315000
Q/A: How many decades are there in 72.19665 millennia?
Final Answer: 7219.665
Q/A: How many decades are there in 15/4 of a millennium... | english |
measurement: conversion
-----------------------
Conundrum: How many millilitres are there in seven eighths of a litre?
Output: 875
Conundrum: What is 7/4 of a litre in millilitres?
Output: 1750
Conundrum: What is one tenth of a gram in milligrams?
Output: 100
Conundrum: How many months are there in three tenths of a ce... | english |
numbers: place value
--------------------
Challenge: What is the hundred thousands digit of 905169802?
Therefore: 1
Challenge: What is the millions digit of 68042593?
Therefore: 8
Challenge: What is the hundreds digit of 103495?
Therefore: 4
Challenge: What is the tens digit of 476310573?
Therefore: 7
Challenge: What i... | english |
numbers: place value
--------------------
Problem: What is the ten thousands digit of 58012?
Sol: 5
Problem: What is the tens digit of 833384?
Sol: 8
Problem: What is the hundreds digit of 990?
Sol: 9
Problem: What is the tens digit of 6694613?
Sol: 1
Problem: What is the tens digit of 35907?
Sol: 0
Problem: What is th... | english |
numbers: is prime
-----------------
Exercise: Is 3743 a prime number?
Thus: False
Exercise: Is 2167703 composite?
Thus: False
Exercise: Is 91763 a composite number?
Thus: True
Exercise: Is 23402602 composite?
Thus: True
Exercise: Is 1610083939 a composite number?
Thus: False
Exercise: Is 13499579 composite?
Thus: True
... | english |
numbers: gcd
------------
Q=: Calculate the greatest common divisor of 69 and 21.
Calculation: 3
Q=: What is the greatest common factor of 96 and 32928?
Calculation: 96
Q=: What is the highest common factor of 120 and 160?
Calculation: 40
Q=: Calculate the highest common divisor of 9 and 4943.
Calculation: 1
Q=: Calcul... | english |
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