text stringlengths 256 2k | language stringclasses 2
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probability: swr p level set
----------------------------
Let: What is prob of picking 1 h and 1 g when two letters picked without replacement from {o: 5, c: 1, j: 1, g: 1, h: 1}?
Eval: 1/36
Let: Calculate prob of picking 4 m when four letters picked without replacement from {h: 2, m: 10}.
Eval: 14/33
Let: What is prob... | english |
measurement: conversion
-----------------------
Exercise: How many meters are there in 862110.3km?
Hence: 862110300
Exercise: What is 1/10 of a kilogram in milligrams?
Hence: 100000
Exercise: How many kilograms are there in eleven quarters of a tonne?
Hence: 2750
Exercise: How many micrometers are there in 1/10 of a ce... | english |
numbers: is factor
------------------
Situation: Is 226882538 a multiple of 178?
Derivation: True
Situation: Does 7 divide 3262?
Derivation: True
Situation: Is 29296 a multiple of 16?
Derivation: True
Situation: Is 5467625 a multiple of 17?
Derivation: True
Situation: Is 2605680 a multiple of 12?
Derivation: True
Situa... | english |
numbers: is factor
------------------
Qn: Is 899 a multiple of 29?
Resolution: True
Qn: Is 20 a factor of 7146161?
Resolution: False
Qn: Is 215 a multiple of 5?
Resolution: True
Qn: Is 15331116 a multiple of 22?
Resolution: False
Qn: Is 3 a factor of 939?
Resolution: True
Qn: Is 32965 a multiple of 162?
Resolution: Fal... | english |
numbers: div remainder
----------------------
Problem Statement: What is the remainder when 126051 is divided by 6829?
Math A: 3129
Problem Statement: What is the remainder when 4137 is divided by 221?
Math A: 159
Problem Statement: What is the remainder when 16496 is divided by 1104?
Math A: 1040
Problem Statement: Ca... | english |
measurement: time
-----------------
Qn: What is 148 minutes after 8:30 PM?
Therefore: 10:58 PM
Qn: How many minutes are there between 11:35 AM and 7:03 PM?
Therefore: 448
Qn: What is 578 minutes after 11:35 AM?
Therefore: 9:13 PM
Qn: What is 265 minutes before 2:13 AM?
Therefore: 9:48 PM
Qn: How many minutes are there ... | english |
numbers: is prime
-----------------
Test item: Is 5545 composite?
Sol: True
Test item: Is 250169 a composite number?
Sol: False
Test item: Is 43481 composite?
Sol: False
Test item: Is 115704773 prime?
Sol: True
Test item: Is 1810774627 a prime number?
Sol: False
Test item: Is 471119821 composite?
Sol: False
Test item: ... | english |
numbers: div remainder
----------------------
Test item: Calculate the remainder when 701073 is divided by 225.
Calculation: 198
Test item: What is the remainder when 34396 is divided by 4910?
Calculation: 26
Test item: What is the remainder when 1039 is divided by 105?
Calculation: 94
Test item: Calculate the remainde... | english |
probability: swr p sequence
---------------------------
Subject: Calculate prob of sequence uppu when four letters picked without replacement from uupuupuppuu.
Eval: 7/110
Subject: Two letters picked without replacement from awjwhawwwawaw. Give prob of sequence aa.
Eval: 1/13
Subject: What is prob of sequence rs when t... | english |
probability: swr p level set
----------------------------
Example: What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvvvvl?
Derivation: 3/4
Example: Two letters picked without replacement from {i: 5, h: 1, e: 3, u: 3}. What is prob of picking 1 h and 1 u?
Derivation: 1/22
Example: Ca... | english |
measurement: conversion
-----------------------
Conundrum: What is twenty-six fifths of a litre in millilitres?
Explanation: 5200
Conundrum: How many milligrams are there in 3/32 of a kilogram?
Explanation: 93750
Conundrum: How many milligrams are there in 6.388526 grams?
Explanation: 6388.526
Conundrum: How many years... | english |
numbers: div remainder
----------------------
Let us solve: What is the remainder when 143960 is divided by 47917?
Eval: 209
Let us solve: Calculate the remainder when 17491 is divided by 79.
Eval: 32
Let us solve: What is the remainder when 62437 is divided by 20806?
Eval: 19
Let us solve: What is the remainder when 7... | english |
numbers: place value
--------------------
Q-: What is the units digit of 2764?
Fix: 4
Q-: What is the ten millions digit of 372676787?
Fix: 7
Q-: What is the tens digit of 4040180?
Fix: 8
Q-: What is the hundred thousands digit of 10148726?
Fix: 1
Q-: What is the ten thousands digit of 35855?
Fix: 3
Q-: What is the ten... | english |
probability: swr p sequence
---------------------------
Conundrum: Three letters picked without replacement from vvvvv. What is prob of sequence vvv?
Therefore: 1
Conundrum: Three letters picked without replacement from {u: 3, z: 6, l: 2, f: 4, o: 1}. Give prob of sequence lul.
Therefore: 1/560
Conundrum: Four letters ... | english |
numbers: is prime
-----------------
Math Problem: Is 465069721 a prime number?
Derivation: True
Math Problem: Is 3928310341 a composite number?
Derivation: False
Math Problem: Is 6512434 composite?
Derivation: True
Math Problem: Is 3152188813 prime?
Derivation: True
Math Problem: Is 31718851 prime?
Derivation: False
Ma... | english |
numbers: is factor
------------------
Statement: Is 20 a factor of 377?
Result: False
Statement: Does 23 divide 1823?
Result: False
Statement: Is 402 a factor of 1073742?
Result: True
Statement: Is 40 a factor of 2396?
Result: False
Statement: Is 4 a factor of 724?
Result: True
Statement: Is 50111 a multiple of 11?
Res... | english |
numbers: place value
--------------------
Example: What is the ten thousands digit of 14260?
Fix: 1
Example: What is the hundred thousands digit of 42035524?
Fix: 0
Example: What is the hundreds digit of 183042?
Fix: 0
Example: What is the units digit of 159704?
Fix: 4
Example: What is the hundred thousands digit of 14... | english |
measurement: conversion
-----------------------
Example: How many decades are there in three fifths of a century?
Solution: 6
Example: What is 18/5 of a millennium in decades?
Solution: 360
Example: Convert 1101.188 meters to kilometers.
Solution: 1.101188
Example: How many litres are there in 695.3729ml?
Solution: 0.6... | english |
numbers: is prime
-----------------
Q: Is 2084867 composite?
Outcome: True
Q: Is 671113477 composite?
Outcome: False
Q: Is 3379 prime?
Outcome: False
Q: Is 58336591061 a prime number?
Outcome: False
Q: Is 63815 composite?
Outcome: True
Q: Is 16194923 a composite number?
Outcome: False
Q: Is 16418 composite?
Outcome: Tr... | english |
numbers: div remainder
----------------------
Q-: Calculate the remainder when 20350 is divided by 2542.
Answer: 14
Q-: What is the remainder when 71018 is divided by 23628?
Answer: 134
Q-: Calculate the remainder when 632 is divided by 49.
Answer: 44
Q-: Calculate the remainder when 604 is divided by 38.
Answer: 34
Q-... | english |
measurement: conversion
-----------------------
Math Problem: What is 8.383642 nanometers in kilometers?
Ans: 0.000000000008383642
Math Problem: How many days are there in 584.20845 seconds?
Ans: 0.006761671875
Math Problem: How many nanometers are there in 25/4 of a micrometer?
Ans: 6250
Math Problem: Convert 79738.68... | english |
probability: swr p level set
----------------------------
Ask: Calculate prob of picking 4 t when four letters picked without replacement from tutttututtuptpup.
Solution: 1/26
Ask: What is prob of picking 2 w and 1 u when three letters picked without replacement from qwuwu?
Solution: 1/5
Ask: Two letters picked without... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is 14404 to the power of 1/3, to the nearest integer?
Sol: 24
Part A: What is 4060 to the power of 1/9, to the nearest integer?
Sol: 3
Part A: What is the square root of 4695355336 to the nearest integer?
Sol: 68523
Part A: What is 32745 to ... | english |
numbers: gcd
------------
Case: Calculate the highest common divisor of 713 and 93.
Resolution: 31
Case: Calculate the greatest common factor of 376 and 188.
Resolution: 188
Case: Calculate the greatest common factor of 3102 and 872696.
Resolution: 1034
Case: Calculate the highest common factor of 898 and 54.
Resolutio... | english |
measurement: time
-----------------
Test item: How many minutes are there between 5:33 AM and 12:14 PM?
Response: 401
Test item: What is 556 minutes after 8:05 PM?
Response: 5:21 AM
Test item: How many minutes are there between 4:43 AM and 2:40 PM?
Response: 597
Test item: What is 517 minutes after 2:32 PM?
Response: 1... | english |
numbers: is prime
-----------------
Q/A: Is 5209 a prime number?
Therefore: True
Q/A: Is 2026697 prime?
Therefore: True
Q/A: Is 16514229 a prime number?
Therefore: False
Q/A: Is 3449 composite?
Therefore: False
Q/A: Is 72193423 a composite number?
Therefore: True
Q/A: Is 1015877935 composite?
Therefore: True
Q/A: Is 13... | english |
probability: swr p level set
----------------------------
Q-: Four letters picked without replacement from {b: 1, i: 1, e: 2, l: 9, v: 5}. Give prob of picking 2 i and 2 l.
Calculation: 0
Q-: Four letters picked without replacement from wwtwtww. Give prob of picking 3 w and 1 t.
Calculation: 4/7
Q-: What is prob of pic... | english |
numbers: place value
--------------------
Prompt: What is the hundreds digit of 334?
Workthrough: 3
Prompt: What is the hundreds digit of 518143593?
Workthrough: 5
Prompt: What is the tens digit of 61091?
Workthrough: 9
Prompt: What is the units digit of 1298529705?
Workthrough: 5
Prompt: What is the tens digit of 1988... | english |
probability: swr p level set
----------------------------
Problem: Four letters picked without replacement from {j: 5, w: 3}. Give prob of picking 3 j and 1 w.
Derivation: 3/7
Problem: Four letters picked without replacement from {y: 3, l: 1, n: 2, v: 5, i: 3, w: 1}. What is prob of picking 2 v, 1 n, and 1 l?
Derivatio... | english |
numbers: is prime
-----------------
Prompt: Is 13441 prime?
Finding: True
Prompt: Is 2136356897 a prime number?
Finding: True
Prompt: Is 26337191 prime?
Finding: False
Prompt: Is 1572115 a prime number?
Finding: False
Prompt: Is 208801 a composite number?
Finding: True
Prompt: Is 72659069257 prime?
Finding: False
Promp... | english |
numbers: div remainder
----------------------
Subquestion: What is the remainder when 70556 is divided by 2432?
Clarification: 28
Subquestion: Calculate the remainder when 604835 is divided by 43.
Clarification: 40
Subquestion: Calculate the remainder when 1166 is divided by 94.
Clarification: 38
Subquestion: What is t... | english |
numbers: place value
--------------------
Q): What is the tens digit of 3446?
Hence: 4
Q): What is the thousands digit of 235459012?
Hence: 9
Q): What is the thousands digit of 1019609?
Hence: 9
Q): What is the units digit of 3833?
Hence: 3
Q): What is the thousands digit of 233499332?
Hence: 9
Q): What is the units di... | english |
measurement: time
-----------------
Ask: How many minutes are there between 11:14 AM and 8:38 PM?
Steps: 564
Ask: What is 318 minutes after 9:21 PM?
Steps: 2:39 AM
Ask: How many minutes are there between 6:11 AM and 9:22 AM?
Steps: 191
Ask: What is 385 minutes after 4:50 PM?
Steps: 11:15 PM
Ask: How many minutes are th... | english |
numbers: place value
--------------------
Statement: What is the millions digit of 697894076?
Eval: 7
Statement: What is the thousands digit of 4612?
Eval: 4
Statement: What is the thousands digit of 141526?
Eval: 1
Statement: What is the hundred thousands digit of 129675165?
Eval: 6
Statement: What is the ten thousand... | english |
measurement: conversion
-----------------------
Question: What is twenty-seven quarters of a litre in millilitres?
Math A: 6750
Question: How many months are there in 3/40 of a decade?
Math A: 9
Question: What is 3/25 of a day in seconds?
Math A: 10368
Question: What is 43/2 of a century in years?
Math A: 2150
Question... | english |
numbers: div remainder
----------------------
Task: What is the remainder when 460 is divided by 178?
Eval: 104
Task: Calculate the remainder when 366667017 is divided by 2580.
Eval: 2577
Task: Calculate the remainder when 376 is divided by 99.
Eval: 79
Task: What is the remainder when 10550 is divided by 479?
Eval: 12... | english |
numbers: gcd
------------
Exercise: Calculate the highest common factor of 177 and 6744.
Interpretation: 3
Exercise: What is the highest common divisor of 42 and 2751?
Interpretation: 21
Exercise: What is the highest common factor of 665118 and 109?
Interpretation: 109
Exercise: Calculate the greatest common divisor of... | english |
numbers: gcd
------------
Case: What is the greatest common divisor of 256 and 17344?
A: 64
Case: Calculate the highest common factor of 2698 and 324754.
A: 142
Case: What is the greatest common divisor of 30 and 14745?
A: 15
Case: Calculate the highest common divisor of 126357 and 309309.
A: 231
Case: Calculate the hi... | english |
numbers: div remainder
----------------------
Q): What is the remainder when 77148 is divided by 501?
Finding: 495
Q): What is the remainder when 21782817 is divided by 2008?
Finding: 33
Q): What is the remainder when 2879 is divided by 67?
Finding: 65
Q): Calculate the remainder when 170 is divided by 17.
Finding: 0
Q... | english |
numbers: place value
--------------------
Q-: What is the tens digit of 2574?
Math A: 7
Q-: What is the units digit of 16986139?
Math A: 9
Q-: What is the hundreds digit of 315013?
Math A: 0
Q-: What is the units digit of 4052?
Math A: 2
Q-: What is the units digit of 9056319?
Math A: 9
Q-: What is the units digit of 1... | english |
numbers: is prime
-----------------
Example: Is 8563 prime?
Solution: True
Example: Is 5338565153 a composite number?
Solution: False
Example: Is 23143 a prime number?
Solution: True
Example: Is 299679277 a prime number?
Solution: False
Example: Is 25087 a prime number?
Solution: True
Example: Is 3034659413 composite?
... | english |
numbers: gcd
------------
Task: What is the greatest common factor of 6355 and 141696?
Soln: 41
Task: Calculate the highest common factor of 5819 and 253.
Soln: 253
Task: Calculate the greatest common divisor of 200 and 77145344.
Soln: 8
Task: What is the highest common divisor of 62 and 16?
Soln: 2
Task: What is the h... | english |
numbers: div remainder
----------------------
Prompt: Calculate the remainder when 10337 is divided by 733.
Soln: 75
Prompt: What is the remainder when 35256 is divided by 5027?
Soln: 67
Prompt: Calculate the remainder when 35533975 is divided by 7106795.
Soln: 0
Prompt: Calculate the remainder when 127 is divided by 2... | english |
numbers: is prime
-----------------
Example: Is 154109 composite?
Outcome: True
Example: Is 17249 composite?
Outcome: True
Example: Is 115953 prime?
Outcome: False
Example: Is 2850013 composite?
Outcome: False
Example: Is 212341279 a composite number?
Outcome: False
Example: Is 165391 prime?
Outcome: True
Example: Is 2... | english |
probability: swr p level set
----------------------------
Case: Three letters picked without replacement from {f: 1, r: 3}. Give prob of picking 3 r.
Key: 1/4
Case: Two letters picked without replacement from hhhgvxj. What is prob of picking 2 h?
Key: 1/7
Case: What is prob of picking 1 f, 1 u, and 1 j when three lette... | english |
numbers: is prime
-----------------
Question: Is 22201253153 composite?
Soln: True
Question: Is 26984885 a composite number?
Soln: True
Question: Is 675429 a composite number?
Soln: True
Question: Is 185422631 composite?
Soln: True
Question: Is 682775095 prime?
Soln: False
Question: Is 45347 a composite number?
Soln: T... | english |
probability: swr p sequence
---------------------------
Qn: Calculate prob of sequence llll when four letters picked without replacement from {l: 6}.
Resolution: 1
Qn: Three letters picked without replacement from {j: 3, r: 2, n: 1, e: 13}. What is prob of sequence jrj?
Resolution: 2/969
Qn: What is prob of sequence il... | english |
numbers: is factor
------------------
Exercise: Is 81 a factor of 5938353?
Soln: True
Exercise: Does 398 divide 6080637632?
Soln: True
Exercise: Is 20 a factor of 2124?
Soln: False
Exercise: Is 16 a factor of 41?
Soln: False
Exercise: Is 38 a factor of 98543?
Soln: False
Exercise: Does 117 divide 590031?
Soln: True
Exe... | english |
numbers: place value
--------------------
Subquestion: What is the hundreds digit of 36082?
Result: 0
Subquestion: What is the hundred thousands digit of 993701?
Result: 9
Subquestion: What is the thousands digit of 7722?
Result: 7
Subquestion: What is the hundred thousands digit of 27320308?
Result: 3
Subquestion: Wha... | english |
probability: swr p level set
----------------------------
Problem: What is prob of picking 1 m, 1 r, and 1 i when three letters picked without replacement from dsiudirsdssrumui?
Result: 3/280
Problem: What is prob of picking 1 f and 2 k when three letters picked without replacement from {u: 3, m: 2, c: 3, k: 2, f: 3, h... | english |
numbers: is prime
-----------------
Math Problem: Is 134995662149 composite?
Eval: True
Math Problem: Is 4757 a prime number?
Eval: False
Math Problem: Is 5596604443 prime?
Eval: True
Math Problem: Is 484103 composite?
Eval: True
Math Problem: Is 26557 a composite number?
Eval: False
Math Problem: Is 20019889 a prime n... | english |
probability: swr p sequence
---------------------------
Let us solve: Calculate prob of sequence ps when two letters picked without replacement from {z: 1, p: 4, s: 2}.
Thus: 4/21
Let us solve: Three letters picked without replacement from {s: 7, k: 2, g: 11}. Give prob of sequence gks.
Thus: 77/3420
Let us solve: Four... | english |
measurement: time
-----------------
Problem: What is 682 minutes after 9:03 PM?
Therefore: 8:25 AM
Problem: How many minutes are there between 4:02 AM and 11:27 AM?
Therefore: 445
Problem: What is 672 minutes before 3:48 AM?
Therefore: 4:36 PM
Problem: What is 289 minutes before 12:12 PM?
Therefore: 7:23 AM
Problem: Ho... | english |
probability: swr p level set
----------------------------
Scenario: Calculate prob of picking 4 v when four letters picked without replacement from {v: 8, q: 5, b: 7}.
Final Answer: 14/969
Scenario: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {z: 5, j: 2, q: 5}.
Final Answer: ... | english |
numbers: place value
--------------------
Question: What is the thousands digit of 3032?
Solution: 3
Question: What is the units digit of 3741?
Solution: 1
Question: What is the units digit of 117130?
Solution: 0
Question: What is the ten thousands digit of 11806243?
Solution: 0
Question: What is the units digit of 442... | english |
probability: swr p sequence
---------------------------
What if: Four letters picked without replacement from {i: 1, h: 1, r: 2, w: 2, e: 2, a: 1}. Give prob of sequence hwer.
Soln: 1/378
What if: Four letters picked without replacement from dxxx. What is prob of sequence dxxx?
Soln: 1/4
What if: Three letters picked w... | english |
numbers: is prime
-----------------
Exercise: Is 31531577809 a prime number?
Outcome: True
Exercise: Is 1017257 a prime number?
Outcome: False
Exercise: Is 49089 composite?
Outcome: True
Exercise: Is 6017911 a composite number?
Outcome: True
Exercise: Is 11267690573 a prime number?
Outcome: True
Exercise: Is 12071 a pr... | english |
measurement: time
-----------------
Case: What is 697 minutes before 4:58 AM?
Key: 5:21 PM
Case: How many minutes are there between 8:52 AM and 3:30 PM?
Key: 398
Case: What is 185 minutes after 3:39 PM?
Key: 6:44 PM
Case: How many minutes are there between 9:46 AM and 1:52 PM?
Key: 246
Case: How many minutes are there ... | english |
numbers: place value
--------------------
Question: What is the tens digit of 1568550?
Answer: 5
Question: What is the millions digit of 2322820?
Answer: 2
Question: What is the tens digit of 2105?
Answer: 0
Question: What is the hundred thousands digit of 651298?
Answer: 6
Question: What is the ten millions digit of 3... | english |
probability: swr p level set
----------------------------
Qn: Four letters picked without replacement from {l: 4, y: 7}. Give prob of picking 3 y and 1 l.
Result: 14/33
Qn: What is prob of picking 2 q and 2 e when four letters picked without replacement from aeeveqaqeee?
Result: 1/22
Qn: What is prob of picking 4 d whe... | english |
numbers: div remainder
----------------------
Q: Calculate the remainder when 14838907 is divided by 846.
Solution: 67
Q: Calculate the remainder when 51389 is divided by 176.
Solution: 173
Q: What is the remainder when 215 is divided by 89?
Solution: 37
Q: Calculate the remainder when 83 is divided by 22.
Solution: 17... | english |
numbers: lcm
------------
Case: Find the common denominator of -29/8 and 23/148306.
Clarification: 593224
Case: Find the common denominator of -97/105 and 16/385.
Clarification: 1155
Case: Find the common denominator of 83/47630 and -41/866.
Clarification: 47630
Case: What is the smallest common multiple of 180 and 309... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 32311435 to the power of 1/2, to the nearest integer?
Conclusion: 5684
Ask: What is 58751942 to the power of 1/2, to the nearest integer?
Conclusion: 7665
Ask: What is 457570 to the power of 1/2, to the nearest integer?
Conclusion: 676
Ask: ... | english |
numbers: gcd
------------
Conundrum: Calculate the greatest common factor of 2574 and 148088160.
Ans: 198
Conundrum: What is the highest common factor of 106 and 293249?
Ans: 53
Conundrum: Calculate the greatest common divisor of 161704 and 492.
Ans: 164
Conundrum: Calculate the highest common factor of 1891 and 532260... | english |
numbers: place value
--------------------
Task: What is the tens digit of 52?
Key: 5
Task: What is the thousands digit of 19081246?
Key: 1
Task: What is the millions digit of 18474232?
Key: 8
Task: What is the units digit of 2260?
Key: 0
Task: What is the thousands digit of 9931269?
Key: 1
Task: What is the thousands d... | english |
measurement: conversion
-----------------------
Problem: What is twenty-one fifths of a centimeter in millimeters?
Resolution: 42
Problem: Convert 81.19111 nanometers to millimeters.
Resolution: 0.00008119111
Problem: Convert 0.6044075 millilitres to litres.
Resolution: 0.0006044075
Problem: What is 860.479um in millim... | english |
numbers: div remainder
----------------------
Item: What is the remainder when 22 is divided by 14?
Eval: 8
Item: Calculate the remainder when 400177 is divided by 428.
Eval: 425
Item: What is the remainder when 111022344 is divided by 35?
Eval: 34
Item: What is the remainder when 6102449 is divided by 587?
Eval: 584
I... | english |
numbers: place value
--------------------
Challenge: What is the hundreds digit of 20696147?
A: 1
Challenge: What is the tens digit of 51?
A: 5
Challenge: What is the hundreds digit of 57978?
A: 9
Challenge: What is the hundred thousands digit of 12409074?
A: 4
Challenge: What is the tens digit of 68370?
A: 7
Challenge... | english |
probability: swr p sequence
---------------------------
Question: Two letters picked without replacement from {f: 1, o: 1, z: 9, a: 7, i: 2}. What is prob of sequence zi?
Calculation: 9/190
Question: Two letters picked without replacement from eevtemvjvj. What is prob of sequence tm?
Calculation: 1/90
Question: Four le... | english |
measurement: conversion
-----------------------
Statement: What is one quarter of a centimeter in micrometers?
A: 2500
Statement: How many minutes are there in 1/9 of a day?
A: 160
Statement: How many millilitres are there in 3/25 of a litre?
A: 120
Statement: What is 9095.51 millimeters in kilometers?
A: 0.00909551
St... | english |
probability: swr p sequence
---------------------------
Given: What is prob of sequence qjsj when four letters picked without replacement from qqjsjjssj?
= : 1/42
Given: Two letters picked without replacement from bsbbu. What is prob of sequence us?
= : 1/20
Given: Four letters picked without replacement from {a: 2, r:... | english |
measurement: conversion
-----------------------
Prompt: How many hours are there in 373973.13ns?
A: 0.000000103881425
Prompt: What is 484148.8 millennia in centuries?
A: 4841488
Prompt: How many litres are there in 59152.45 millilitres?
A: 59.15245
Prompt: How many micrograms are there in 31/5 of a milligram?
A: 6200
P... | english |
probability: swr p sequence
---------------------------
Given: Four letters picked without replacement from rkdkjwu. What is prob of sequence rjwd?
Outcome: 1/840
Given: Three letters picked without replacement from {l: 3, r: 1, m: 3, h: 1, z: 2, i: 1}. What is prob of sequence hll?
Outcome: 1/165
Given: Three letters ... | english |
arithmetic: nearest integer root
--------------------------------
Input: What is 706 to the power of 1/9, to the nearest integer?
Hence: 2
Input: What is the ninth root of 3269969502 to the nearest integer?
Hence: 11
Input: What is 14509 to the power of 1/9, to the nearest integer?
Hence: 3
Input: What is 258 to the po... | english |
numbers: place value
--------------------
Query: What is the hundred millions digit of 2722147092?
Fix: 7
Query: What is the hundreds digit of 4641945687?
Fix: 6
Query: What is the units digit of 49903?
Fix: 3
Query: What is the units digit of 332064?
Fix: 4
Query: What is the thousands digit of 39732?
Fix: 9
Query: Wh... | english |
numbers: is prime
-----------------
Topic: Is 37418842057 composite?
Yields: True
Topic: Is 3967 a prime number?
Yields: True
Topic: Is 40980139351 prime?
Yields: False
Topic: Is 148591 prime?
Yields: False
Topic: Is 21427829 composite?
Yields: False
Topic: Is 262253 a composite number?
Yields: False
Topic: Is 1136929 ... | english |
probability: swr p level set
----------------------------
Situation: Three letters picked without replacement from {y: 7, s: 3, t: 4, o: 3, j: 3}. Give prob of picking 1 y, 1 o, and 1 j.
Gives: 21/380
Situation: Two letters picked without replacement from {n: 2, z: 2, h: 6, i: 2}. What is prob of picking 1 n and 1 z?
G... | english |
probability: swr p sequence
---------------------------
Item: Three letters picked without replacement from prrrrrrpprrr. Give prob of sequence rrp.
Derivation: 9/55
Item: What is prob of sequence bmm when three letters picked without replacement from aammiab?
Derivation: 1/105
Item: Four letters picked without replace... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 2 j when two letters picked without replacement from wjwwwwjwwwjwjw.
Therefore: 6/91
Task: Two letters picked without replacement from {y: 1, n: 1, p: 1, i: 2}. Give prob of picking 1 i and 1 p.
Therefore: 1/5
Task: What is prob o... | english |
numbers: is prime
-----------------
Ask: Is 109860287 a composite number?
Calculation: True
Ask: Is 1102337 a prime number?
Calculation: True
Ask: Is 27604059591 prime?
Calculation: False
Ask: Is 485267 composite?
Calculation: True
Ask: Is 83588189 a composite number?
Calculation: False
Ask: Is 1457001599 a composite n... | english |
probability: swr p sequence
---------------------------
Case: Four letters picked without replacement from suvuxrw. Give prob of sequence vvss.
Sol: 0
Case: Three letters picked without replacement from {c: 2, w: 4, l: 9, m: 3}. What is prob of sequence lcc?
Sol: 1/272
Case: What is prob of sequence gxt when three lett... | english |
numbers: div remainder
----------------------
Inquiry: What is the remainder when 490 is divided by 192?
Key: 106
Inquiry: Calculate the remainder when 8758 is divided by 461.
Key: 460
Inquiry: Calculate the remainder when 749341 is divided by 156.
Key: 73
Inquiry: Calculate the remainder when 93656678 is divided by 33... | english |
arithmetic: nearest integer root
--------------------------------
What if: What is the cube root of 1508426283 to the nearest integer?
→: 1147
What if: What is 1530 to the power of 1/2, to the nearest integer?
→: 39
What if: What is 1523450411 to the power of 1/2, to the nearest integer?
→: 39031
What if: What is the s... | english |
numbers: div remainder
----------------------
Prompt: Calculate the remainder when 1023 is divided by 253.
Result: 11
Prompt: What is the remainder when 3381 is divided by 1123?
Result: 12
Prompt: Calculate the remainder when 919578 is divided by 741.
Result: 738
Prompt: Calculate the remainder when 9659 is divided by ... | english |
numbers: place value
--------------------
Puzzle: What is the millions digit of 5276817?
Key: 5
Puzzle: What is the thousands digit of 4399003347?
Key: 3
Puzzle: What is the units digit of 370?
Key: 0
Puzzle: What is the tens digit of 2560?
Key: 6
Puzzle: What is the thousands digit of 965700?
Key: 5
Puzzle: What is th... | english |
numbers: gcd
------------
Math Problem: What is the highest common factor of 1010 and 2929?
Sol: 101
Math Problem: What is the greatest common divisor of 8805 and 855?
Sol: 15
Math Problem: What is the greatest common divisor of 91 and 217?
Sol: 7
Math Problem: Calculate the highest common factor of 2768 and 28026.
Sol... | english |
numbers: gcd
------------
Prompt: Calculate the highest common divisor of 100 and 94100.
Solution: 100
Prompt: Calculate the highest common divisor of 21 and 147.
Solution: 21
Prompt: What is the highest common factor of 6171 and 1936?
Solution: 121
Prompt: What is the highest common divisor of 363 and 2261369?
Solutio... | english |
numbers: place value
--------------------
Subject: What is the thousands digit of 485115?
Explanation: 5
Subject: What is the hundreds digit of 372765860?
Explanation: 8
Subject: What is the tens digit of 7385?
Explanation: 8
Subject: What is the hundred millions digit of 1190983330?
Explanation: 1
Subject: What is the... | english |
numbers: place value
--------------------
Q/A: What is the ten thousands digit of 57048116?
Finding: 4
Q/A: What is the units digit of 6141?
Finding: 1
Q/A: What is the hundred thousands digit of 697831?
Finding: 6
Q/A: What is the hundreds digit of 559?
Finding: 5
Q/A: What is the tens digit of 52995?
Finding: 9
Q/A: ... | english |
numbers: is factor
------------------
Subject: Does 4 divide 39535356?
Result: True
Subject: Does 9 divide 149980?
Result: False
Subject: Is 1559 a factor of 18796863?
Result: True
Subject: Is 970 a multiple of 90?
Result: False
Subject: Is 65 a multiple of 25?
Result: False
Subject: Is 65 a factor of 1229?
Result: Fal... | english |
numbers: is prime
-----------------
Subquestion: Is 1473677407 composite?
Soln: False
Subquestion: Is 131503 prime?
Soln: False
Subquestion: Is 11163949 composite?
Soln: False
Subquestion: Is 86186 a prime number?
Soln: False
Subquestion: Is 3221 a prime number?
Soln: True
Subquestion: Is 47309851 composite?
Soln: Fals... | english |
numbers: place value
--------------------
Test item: What is the hundred thousands digit of 13938284?
Calculation: 9
Test item: What is the hundreds digit of 10672?
Calculation: 6
Test item: What is the units digit of 37044?
Calculation: 4
Test item: What is the units digit of 2029?
Calculation: 9
Test item: What is th... | english |
numbers: place value
--------------------
Task: What is the thousands digit of 8095?
Interpretation: 8
Task: What is the ten thousands digit of 21701?
Interpretation: 2
Task: What is the tens digit of 20351?
Interpretation: 5
Task: What is the hundreds digit of 4747582?
Interpretation: 5
Task: What is the units digit o... | english |
measurement: conversion
-----------------------
Example: What is 1/6 of a year in months?
A: 2
Example: What is one tenth of a millimeter in micrometers?
A: 100
Example: How many seconds are there in 6275.9 hours?
A: 22593240
Example: What is 31/2 of a millimeter in micrometers?
A: 15500
Example: How many nanometers ar... | english |
probability: swr p level set
----------------------------
Question: Calculate prob of picking 1 q and 3 t when four letters picked without replacement from tvvtqytuyyqqvyb.
Calculation: 1/455
Question: Two letters picked without replacement from {z: 7, i: 6}. Give prob of picking 2 z.
Calculation: 7/26
Question: Three ... | english |
numbers: gcd
------------
Problem #: Calculate the highest common divisor of 35437167 and 59607.
Outcome: 1611
Problem #: What is the greatest common divisor of 444 and 1184?
Outcome: 148
Problem #: What is the highest common divisor of 1458 and 759303?
Outcome: 9
Problem #: What is the highest common factor of 431018 ... | english |
measurement: time
-----------------
Ask: What is 641 minutes before 2:47 AM?
Yields: 4:06 PM
Ask: How many minutes are there between 10:15 PM and 5:52 AM?
Yields: 457
Ask: What is 620 minutes after 4:25 AM?
Yields: 2:45 PM
Ask: What is 678 minutes before 6:19 AM?
Yields: 7:01 PM
Ask: How many minutes are there between ... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is the third root of 1265971871 to the nearest integer?
Resolution: 1082
Q=: What is the ninth root of 42741 to the nearest integer?
Resolution: 3
Q=: What is 25059 to the power of 1/10, to the nearest integer?
Resolution: 3
Q=: What is 2376 to ... | english |
numbers: lcm
------------
Prompt: Calculate the lowest common multiple of 3955 and 3164.
Final Answer: 15820
Prompt: Calculate the common denominator of -19/170 and 107/84.
Final Answer: 7140
Prompt: What is the common denominator of 77/75276 and 43/551286?
Final Answer: 18743724
Prompt: Calculate the common denominato... | english |
numbers: place value
--------------------
Qn: What is the billions digit of 1208101565?
Solution: 1
Qn: What is the hundred thousands digit of 3689611838?
Solution: 6
Qn: What is the millions digit of 7821194?
Solution: 7
Qn: What is the ten thousands digit of 827791452?
Solution: 9
Qn: What is the ten millions digit o... | english |
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