text stringlengths 256 2k | language stringclasses 2
values |
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numbers: place value
--------------------
Part A: What is the ten millions digit of 1178882563?
Derivation: 7
Part A: What is the tens digit of 1825?
Derivation: 2
Part A: What is the ten millions digit of 40744780?
Derivation: 4
Part A: What is the tens digit of 919902?
Derivation: 0
Part A: What is the tens digit of ... | english |
measurement: conversion
-----------------------
Test item: How many hours are there in 9/14 of a week?
Calculation: 108
Test item: How many centuries are there in 81/2 of a millennium?
Calculation: 405
Test item: How many decades are there in twenty-nine halves of a century?
Calculation: 145
Test item: How many grams a... | english |
measurement: conversion
-----------------------
Question: How many millennia are there in 9.764061 centuries?
Hence: 0.9764061
Question: What is 0.026099um in centimeters?
Hence: 0.0000026099
Question: Convert 81.39232s to microseconds.
Hence: 81392320
Question: What is 9/10 of a millennium in decades?
Hence: 90
Questi... | english |
numbers: place value
--------------------
Given: What is the hundred millions digit of 126232534?
Sol: 1
Given: What is the ten thousands digit of 54366?
Sol: 5
Given: What is the hundreds digit of 5802301?
Sol: 3
Given: What is the units digit of 64?
Sol: 4
Given: What is the tens digit of 858?
Sol: 5
Given: What is t... | english |
numbers: gcd
------------
Conundrum: Calculate the highest common factor of 1321896 and 36.
Sol: 12
Conundrum: What is the greatest common factor of 119704 and 208?
Sol: 104
Conundrum: Calculate the highest common factor of 1546 and 73910.
Sol: 2
Conundrum: What is the greatest common divisor of 29545 and 760?
Sol: 95
... | english |
measurement: conversion
-----------------------
Step: Convert 30048.89l to millilitres.
Derivation: 30048890
Step: How many nanometers are there in 3/50 of a millimeter?
Derivation: 60000
Step: What is eleven halves of a litre in millilitres?
Derivation: 5500
Step: What is twenty-nine fifths of a gram in milligrams?
De... | english |
numbers: is factor
------------------
Subquestion: Is 67888504 a multiple of 15?
Resolution: False
Subquestion: Is 20 a factor of 437637216?
Resolution: False
Subquestion: Is 45 a factor of 916263?
Resolution: False
Subquestion: Is 12 a factor of 470642?
Resolution: False
Subquestion: Is 17 a factor of 1445?
Resolution... | english |
numbers: is prime
-----------------
Example: Is 1137403 a composite number?
Finding: False
Example: Is 107893 composite?
Finding: True
Example: Is 610817 composite?
Finding: False
Example: Is 55751 composite?
Finding: True
Example: Is 7143841 composite?
Finding: False
Example: Is 672303 a composite number?
Finding: Tru... | english |
numbers: place value
--------------------
Problem Statement: What is the hundred thousands digit of 887075606?
Conclusion: 0
Problem Statement: What is the ten thousands digit of 295103938?
Conclusion: 0
Problem Statement: What is the hundreds digit of 2290103?
Conclusion: 1
Problem Statement: What is the ten millions ... | english |
arithmetic: nearest integer root
--------------------------------
Issue: What is 1531570152 to the power of 1/2, to the nearest integer?
Interpretation: 39135
Issue: What is the cube root of 22539 to the nearest integer?
Interpretation: 28
Issue: What is 1202470832 to the power of 1/3, to the nearest integer?
Interpret... | english |
measurement: time
-----------------
Prompt: How many minutes are there between 9:36 PM and 12:32 AM?
Response: 176
Prompt: What is 639 minutes before 3:42 PM?
Response: 5:03 AM
Prompt: What is 406 minutes after 2:45 PM?
Response: 9:31 PM
Prompt: What is 277 minutes after 3:59 PM?
Response: 8:36 PM
Prompt: What is 448 m... | english |
measurement: conversion
-----------------------
Ask: How many minutes are there in 7/6 of a week?
Output: 11760
Ask: What is eleven halves of a litre in millilitres?
Output: 5500
Ask: What is 411.396 tonnes in micrograms?
Output: 411396000000000
Ask: How many decades are there in nine tenths of a millennium?
Output: 90... | english |
measurement: time
-----------------
Part A: How many minutes are there between 6:00 PM and 12:13 AM?
Workthrough: 373
Part A: How many minutes are there between 6:26 PM and 11:49 PM?
Workthrough: 323
Part A: What is 144 minutes after 4:20 PM?
Workthrough: 6:44 PM
Part A: How many minutes are there between 4:31 AM and 7... | english |
numbers: place value
--------------------
Q: What is the hundreds digit of 50693?
Sol: 6
Q: What is the millions digit of 14479704?
Sol: 4
Q: What is the hundreds digit of 4989?
Sol: 9
Q: What is the hundred thousands digit of 1202711?
Sol: 2
Q: What is the hundreds digit of 47283160?
Sol: 1
Q: What is the ten millions... | english |
numbers: place value
--------------------
Problem #: What is the units digit of 13903149?
Eval: 9
Problem #: What is the tens digit of 219002?
Eval: 0
Problem #: What is the hundreds digit of 29876745?
Eval: 7
Problem #: What is the ten thousands digit of 1725590018?
Eval: 9
Problem #: What is the ten thousands digit o... | english |
numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 45340018 is divided by 17.
Soln: 15
Inquiry: Calculate the remainder when 294 is divided by 8.
Soln: 6
Inquiry: Calculate the remainder when 9987 is divided by 2926.
Soln: 1209
Inquiry: Calculate the remainder when 25519798 is divided b... | english |
numbers: is prime
-----------------
Example: Is 732013105943 composite?
Derivation: True
Example: Is 18701531 prime?
Derivation: True
Example: Is 1269731101 a composite number?
Derivation: False
Example: Is 954518899 prime?
Derivation: True
Example: Is 750672941 a prime number?
Derivation: False
Example: Is 43163 prime... | english |
measurement: conversion
-----------------------
Q: How many micrometers are there in twenty-seven halves of a millimeter?
Therefore: 13500
Q: What is 64.67711 milligrams in tonnes?
Therefore: 0.00000006467711
Q: How many millilitres are there in 11/2 of a litre?
Therefore: 5500
Q: How many millilitres are there in 3/8 ... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence sfs when three letters picked without replacement from {f: 1, m: 2, g: 3, s: 6}?
Resolution: 1/44
Ask: Calculate prob of sequence smk when three letters picked without replacement from smsk.
Resolution: 1/12
Ask: Four letters picked w... | english |
numbers: place value
--------------------
Prompt: What is the thousands digit of 301128965?
Gives: 8
Prompt: What is the thousands digit of 19337003?
Gives: 7
Prompt: What is the hundred thousands digit of 495420?
Gives: 4
Prompt: What is the thousands digit of 7777?
Gives: 7
Prompt: What is the thousands digit of 4227... | english |
numbers: place value
--------------------
Q=: What is the hundreds digit of 11176910?
Compute: 9
Q=: What is the hundreds digit of 973?
Compute: 9
Q=: What is the ten thousands digit of 265251?
Compute: 6
Q=: What is the ten thousands digit of 210194?
Compute: 1
Q=: What is the hundred millions digit of 387621931?
Comp... | english |
numbers: is prime
-----------------
Input: Is 16802238559 a prime number?
Ans: True
Input: Is 869 prime?
Ans: False
Input: Is 18511727 prime?
Ans: False
Input: Is 77458 prime?
Ans: False
Input: Is 129080751599 a composite number?
Ans: False
Input: Is 3558913697 composite?
Ans: True
Input: Is 36829 prime?
Ans: False
Inp... | english |
numbers: place value
--------------------
Puzzle: What is the tens digit of 33994?
Response: 9
Puzzle: What is the tens digit of 79280?
Response: 8
Puzzle: What is the hundreds digit of 1378053?
Response: 0
Puzzle: What is the hundred millions digit of 1900618823?
Response: 9
Puzzle: What is the units digit of 4516?
Re... | english |
numbers: place value
--------------------
Scenario: What is the billions digit of 1007205423?
Solution: 1
Scenario: What is the hundred millions digit of 128955710?
Solution: 1
Scenario: What is the hundreds digit of 39282?
Solution: 2
Scenario: What is the thousands digit of 9728874?
Solution: 8
Scenario: What is the ... | english |
numbers: is prime
-----------------
Subquestion: Is 319678 a prime number?
Derivation: False
Subquestion: Is 32827 prime?
Derivation: False
Subquestion: Is 69470207 a composite number?
Derivation: True
Subquestion: Is 126764557 a composite number?
Derivation: False
Subquestion: Is 593018429 a prime number?
Derivation: ... | english |
measurement: time
-----------------
Scenario: How many minutes are there between 1:44 AM and 8:23 AM?
Conclusion: 399
Scenario: How many minutes are there between 11:35 PM and 2:25 AM?
Conclusion: 170
Scenario: What is 374 minutes before 12:53 PM?
Conclusion: 6:39 AM
Scenario: How many minutes are there between 9:10 PM... | english |
numbers: is prime
-----------------
Scenario: Is 468039157 a composite number?
Clarification: False
Scenario: Is 62273 a prime number?
Clarification: True
Scenario: Is 139169 prime?
Clarification: True
Scenario: Is 7859 composite?
Clarification: True
Scenario: Is 88411 a prime number?
Clarification: True
Scenario: Is 3... | english |
numbers: div remainder
----------------------
Task: What is the remainder when 4033629 is divided by 24?
Derivation: 21
Task: Calculate the remainder when 386391 is divided by 1337.
Derivation: 1335
Task: What is the remainder when 71 is divided by 21?
Derivation: 8
Task: Calculate the remainder when 192507 is divided ... | english |
measurement: conversion
-----------------------
Item: What is thirty-two fifths of a milligram in micrograms?
Therefore: 6400
Item: Convert 826.656um to centimeters.
Therefore: 0.0826656
Item: How many millimeters are there in one quarter of a meter?
Therefore: 250
Item: What is 898.0506ms in seconds?
Therefore: 0.8980... | english |
numbers: place value
--------------------
Let: What is the hundreds digit of 2321?
Soln: 3
Let: What is the hundreds digit of 4201133?
Soln: 1
Let: What is the millions digit of 459818691?
Soln: 9
Let: What is the ten thousands digit of 432868659?
Soln: 6
Let: What is the thousands digit of 2458?
Soln: 2
Let: What is t... | english |
numbers: is prime
-----------------
Given: Is 108135641 composite?
Solution: True
Given: Is 43065137 prime?
Solution: False
Given: Is 1961677 a composite number?
Solution: True
Given: Is 4082280691 a composite number?
Solution: False
Given: Is 1004327459 a composite number?
Solution: False
Given: Is 381649145 a prime n... | english |
comparison: pair
----------------
Let us solve: Is -31407071 >= -31407069?
Clarification: False
Let us solve: Are 896823.64 and -0.3 nonequal?
Clarification: True
Let us solve: Which is smaller: 1537 or -309?
Clarification: -309
Let us solve: Is -2/797 bigger than -4969?
Clarification: True
Let us solve: Which is great... | english |
numbers: is factor
------------------
Input: Is 11 a factor of 1687503?
Outcome: False
Input: Is 701397 a multiple of 118?
Outcome: False
Input: Does 5 divide 945?
Outcome: True
Input: Is 4778 a multiple of 5?
Outcome: False
Input: Is 13358814 a multiple of 322?
Outcome: True
Input: Is 6 a factor of 123026?
Outcome: Fa... | english |
probability: swr p level set
----------------------------
Part A: Two letters picked without replacement from oosyoooosyysyso. Give prob of picking 2 o.
Hence: 1/5
Part A: Three letters picked without replacement from {p: 3, x: 6, g: 3, a: 2, z: 4}. Give prob of picking 3 x.
Hence: 5/204
Part A: Three letters picked wi... | english |
probability: swr p level set
----------------------------
Challenge: What is prob of picking 1 h, 1 a, and 1 r when three letters picked without replacement from ruahdauf?
Sol: 1/28
Challenge: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from {u: 5, t: 3, p: 2}.
Sol: 1/20
Challeng... | english |
numbers: gcd
------------
What if: What is the greatest common divisor of 282305 and 31032?
Thus: 431
What if: Calculate the greatest common factor of 5513070 and 7239.
Thus: 381
What if: What is the greatest common factor of 54 and 776052?
Thus: 18
What if: What is the highest common divisor of 9122224 and 56?
Thus: 8... | english |
numbers: is factor
------------------
Let us solve: Does 15 divide 35139?
Response: False
Let us solve: Is 61 a factor of 4636?
Response: True
Let us solve: Is 897141 a multiple of 39?
Response: False
Let us solve: Does 9 divide 16820?
Response: False
Let us solve: Is 16 a factor of 25185?
Response: False
Let us solve:... | english |
numbers: gcd
------------
Situation: Calculate the greatest common factor of 66 and 2112594.
→: 66
Situation: Calculate the greatest common divisor of 1739554670 and 5810.
→: 5810
Situation: What is the greatest common factor of 121733 and 203683?
→: 149
Situation: What is the highest common divisor of 20 and 740?
→: 2... | english |
numbers: gcd
------------
Exercise: What is the highest common divisor of 19542537 and 3598?
Sol: 1799
Exercise: Calculate the greatest common factor of 28 and 2758.
Sol: 14
Exercise: What is the greatest common divisor of 324 and 20?
Sol: 4
Exercise: Calculate the greatest common factor of 55880 and 377736.
Sol: 8
Exe... | english |
measurement: conversion
-----------------------
Exercise: How many nanograms are there in one quarter of a microgram?
Conclusion: 250
Exercise: Convert 4699834.2ns to hours.
Conclusion: 0.0000013055095
Exercise: How many grams are there in thirteen quarters of a kilogram?
Conclusion: 3250
Exercise: What is twenty-seven... | english |
numbers: div remainder
----------------------
Part A: Calculate the remainder when 33 is divided by 3.
Key: 0
Part A: Calculate the remainder when 8476663 is divided by 1495.
Key: 13
Part A: What is the remainder when 3137204 is divided by 5533?
Key: 5526
Part A: Calculate the remainder when 3046 is divided by 79.
Key:... | english |
numbers: is prime
-----------------
Problem Statement: Is 16112677541 prime?
Answer: False
Problem Statement: Is 89034795287 composite?
Answer: False
Problem Statement: Is 16260019199 composite?
Answer: False
Problem Statement: Is 557654117 a composite number?
Answer: False
Problem Statement: Is 91933907189 prime?
Answ... | english |
numbers: gcd
------------
Input: Calculate the greatest common divisor of 70 and 48295.
Answer: 5
Input: What is the highest common divisor of 4768 and 96?
Answer: 32
Input: Calculate the highest common factor of 976 and 1457168.
Answer: 976
Input: Calculate the highest common divisor of 696 and 144.
Answer: 24
Input: ... | english |
measurement: time
-----------------
Problem: How many minutes are there between 3:08 AM and 3:27 AM?
Sol: 19
Problem: How many minutes are there between 2:37 AM and 7:14 AM?
Sol: 277
Problem: How many minutes are there between 1:18 PM and 1:54 PM?
Sol: 36
Problem: What is 715 minutes after 6:41 PM?
Sol: 6:36 AM
Problem... | english |
numbers: is factor
------------------
Request: Is 16280 a multiple of 19?
Compute: False
Request: Does 110 divide 2281?
Compute: False
Request: Does 357 divide 39311003?
Compute: False
Request: Is 113183 a multiple of 437?
Compute: True
Request: Does 317 divide 3747965495?
Compute: True
Request: Is 31985 a multiple of ... | english |
numbers: is prime
-----------------
Input: Is 6113561 a prime number?
Solution: False
Input: Is 11368457 prime?
Solution: True
Input: Is 10119764801 a prime number?
Solution: True
Input: Is 32099 a composite number?
Solution: False
Input: Is 2380953269 prime?
Solution: True
Input: Is 818623367 composite?
Solution: Fals... | english |
numbers: is factor
------------------
Problem: Does 4101 divide 2387424699?
Therefore: False
Problem: Is 164 a factor of 656?
Therefore: True
Problem: Does 65 divide 1950?
Therefore: True
Problem: Is 208 a factor of 40560?
Therefore: True
Problem: Does 62 divide 91733402?
Therefore: True
Problem: Is 136460698 a multipl... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 1780 is divided by 13?
Conclusion: 12
Example: What is the remainder when 594125 is divided by 1148?
Conclusion: 609
Example: What is the remainder when 22193 is divided by 62?
Conclusion: 59
Example: Calculate the remainder when 24568419... | english |
probability: swr p sequence
---------------------------
Q: What is prob of sequence brw when three letters picked without replacement from {r: 4, b: 10, w: 1, u: 4}?
Explanation: 20/2907
Q: Two letters picked without replacement from {u: 12, e: 2, f: 2, n: 1, h: 1}. What is prob of sequence fe?
Explanation: 2/153
Q: Th... | english |
numbers: gcd
------------
Issue: Calculate the greatest common factor of 13579 and 37.
→: 37
Issue: What is the highest common factor of 142 and 1207?
→: 71
Issue: Calculate the greatest common divisor of 322 and 13685.
→: 161
Issue: Calculate the highest common divisor of 1335 and 398898.
→: 267
Issue: What is the gre... | english |
numbers: is prime
-----------------
Qn: Is 4154639 prime?
Interpretation: True
Qn: Is 6007 composite?
Interpretation: False
Qn: Is 1403381 a prime number?
Interpretation: False
Qn: Is 7427 composite?
Interpretation: True
Qn: Is 1920991 a composite number?
Interpretation: False
Qn: Is 8977 a prime number?
Interpretation... | english |
measurement: time
-----------------
Case: How many minutes are there between 9:47 PM and 11:09 PM?
Response: 82
Case: How many minutes are there between 5:34 AM and 12:37 PM?
Response: 423
Case: How many minutes are there between 4:07 PM and 2:19 AM?
Response: 612
Case: How many minutes are there between 1:06 PM and 7:... | english |
arithmetic: nearest integer root
--------------------------------
Q: What is 26395275 to the power of 1/10, to the nearest integer?
Yields: 6
Q: What is 852790 to the power of 1/2, to the nearest integer?
Yields: 923
Q: What is 46215 to the power of 1/4, to the nearest integer?
Yields: 15
Q: What is 5162010976 to the p... | english |
probability: swr p sequence
---------------------------
Item: What is prob of sequence wvv when three letters picked without replacement from wvvt?
Soln: 1/12
Item: Calculate prob of sequence vjko when four letters picked without replacement from {j: 1, k: 3, o: 1, v: 7, l: 1}.
Soln: 7/5720
Item: Three letters picked w... | english |
numbers: place value
--------------------
Q): What is the thousands digit of 49441890?
Answer: 1
Q): What is the tens digit of 31389?
Answer: 8
Q): What is the millions digit of 5263318?
Answer: 5
Q): What is the hundreds digit of 2275470?
Answer: 4
Q): What is the tens digit of 372474937?
Answer: 3
Q): What is the hun... | english |
probability: swr p level set
----------------------------
Inquiry: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, g: 2, m: 1, h: 2, v: 1}.
Key: 1/28
Inquiry: What is prob of picking 1 l and 2 g when three letters picked without replacement from lgwgwwgwwg?
Key: 1/20
Inquiry: Two l... | english |
numbers: is factor
------------------
Math Q: Is 2 a factor of 56416553?
Compute: False
Math Q: Is 3 a factor of 6243?
Compute: True
Math Q: Is 37 a factor of 190819147?
Compute: False
Math Q: Is 900453233 even?
Compute: False
Math Q: Is 43845420 a multiple of 792?
Compute: False
Math Q: Is 7 a factor of 11753686?
Comp... | english |
measurement: conversion
-----------------------
Scenario: Convert 24.5624 millimeters to meters.
Explanation: 0.0245624
Scenario: What is 2056.45 years in millennia?
Explanation: 2.05645
Scenario: How many hours are there in 52/3 of a week?
Explanation: 2912
Scenario: Convert 27034.24m to centimeters.
Explanation: 2703... | english |
numbers: gcd
------------
Exercise: What is the highest common divisor of 7412 and 3924?
Key: 436
Exercise: Calculate the highest common divisor of 11025 and 675171.
Key: 441
Exercise: What is the highest common factor of 3180 and 13560?
Key: 60
Exercise: Calculate the greatest common divisor of 20 and 5.
Key: 5
Exerci... | english |
probability: swr p sequence
---------------------------
Part A: Three letters picked without replacement from qppqqqqwwqwpq. Give prob of sequence qpp.
Result: 7/286
Part A: What is prob of sequence hh when two letters picked without replacement from {h: 3}?
Result: 1
Part A: What is prob of sequence fbt when three let... | english |
numbers: is factor
------------------
Math Problem: Does 7 divide 7063?
Result: True
Math Problem: Is 101 a multiple of 12?
Result: False
Math Problem: Does 241 divide 475464?
Result: False
Math Problem: Is 68 a factor of 7924?
Result: False
Math Problem: Is 4960969 a multiple of 13?
Result: True
Math Problem: Is 81540... | english |
numbers: gcd
------------
Q): What is the highest common factor of 18 and 17046?
Resolution: 18
Q): Calculate the highest common divisor of 1582 and 168.
Resolution: 14
Q): Calculate the greatest common factor of 1392188 and 76.
Resolution: 4
Q): What is the greatest common factor of 45237 and 2490696?
Resolution: 2661... | english |
probability: swr p sequence
---------------------------
Scenario: Three letters picked without replacement from {z: 9, e: 3, v: 1, j: 2, t: 4}. Give prob of sequence vje.
Gives: 1/969
Scenario: Four letters picked without replacement from jgxcjwwjggwgwgwwxgco. What is prob of sequence gxgw?
Gives: 1/323
Scenario: Two l... | english |
numbers: is prime
-----------------
Part A: Is 2570177 composite?
Compute: False
Part A: Is 33965671 composite?
Compute: True
Part A: Is 374953 composite?
Compute: False
Part A: Is 1437 a prime number?
Compute: False
Part A: Is 191663 composite?
Compute: True
Part A: Is 17713019 a prime number?
Compute: True
Part A: Is... | english |
numbers: place value
--------------------
Statement: What is the units digit of 7955441?
Eval: 1
Statement: What is the units digit of 774767405?
Eval: 5
Statement: What is the hundred thousands digit of 3178812?
Eval: 1
Statement: What is the ten thousands digit of 223873?
Eval: 2
Statement: What is the thousands digi... | english |
probability: swr p sequence
---------------------------
Conundrum: Calculate prob of sequence eaaa when four letters picked without replacement from {f: 1, e: 7, a: 3, w: 2, x: 3, p: 2}.
Answer: 7/12240
Conundrum: Three letters picked without replacement from ozozhhizzoohzizpo. What is prob of sequence phi?
Answer: 1/6... | english |
probability: swr p sequence
---------------------------
Scenario: Three letters picked without replacement from uzuuzeeznaz. What is prob of sequence uau?
Sol: 1/165
Scenario: Two letters picked without replacement from ilssliilisiilslisi. Give prob of sequence li.
Sol: 20/153
Scenario: Four letters picked without repl... | english |
measurement: time
-----------------
Prompt: What is 145 minutes before 8:42 PM?
Workthrough: 6:17 PM
Prompt: How many minutes are there between 9:50 PM and 3:21 AM?
Workthrough: 331
Prompt: How many minutes are there between 12:19 AM and 6:04 AM?
Workthrough: 345
Prompt: What is 667 minutes before 6:29 AM?
Workthrough:... | english |
measurement: conversion
-----------------------
Example: What is 29299.65 seconds in milliseconds?
Calculation: 29299650
Example: What is 33/10 of a century in months?
Calculation: 3960
Example: How many litres are there in 0.7857988 millilitres?
Calculation: 0.0007857988
Example: How many millilitres are there in 4405... | english |
numbers: gcd
------------
Step: What is the greatest common factor of 18 and 12?
A: 6
Step: What is the highest common divisor of 144 and 365616?
A: 144
Step: What is the highest common factor of 287326074 and 276?
A: 138
Step: What is the greatest common divisor of 155 and 62?
A: 31
Step: Calculate the highest common ... | english |
numbers: gcd
------------
Step: Calculate the greatest common divisor of 11 and 2794209.
Clarification: 11
Step: What is the greatest common divisor of 278586 and 134?
Clarification: 134
Step: Calculate the greatest common factor of 2547 and 117.
Clarification: 9
Step: What is the highest common factor of 92171288 and ... | english |
probability: swr p sequence
---------------------------
Case: Four letters picked without replacement from ftgngtgtpff. Give prob of sequence fggg.
= : 1/440
Case: Calculate prob of sequence gdd when three letters picked without replacement from {k: 2, g: 2, d: 5}.
= : 5/63
Case: Calculate prob of sequence jwa when thr... | english |
numbers: div remainder
----------------------
Q): Calculate the remainder when 440 is divided by 61.
Ans: 13
Q): What is the remainder when 56 is divided by 30?
Ans: 26
Q): What is the remainder when 2336 is divided by 78?
Ans: 74
Q): What is the remainder when 6914 is divided by 3077?
Ans: 760
Q): What is the remainde... | english |
numbers: place value
--------------------
Ask: What is the ten thousands digit of 859080564?
Answer: 8
Ask: What is the hundreds digit of 1016?
Answer: 0
Ask: What is the units digit of 1433?
Answer: 3
Ask: What is the ten thousands digit of 35888715?
Answer: 8
Ask: What is the units digit of 804?
Answer: 4
Ask: What i... | english |
numbers: place value
--------------------
Q/A: What is the thousands digit of 71955175?
Hence: 5
Q/A: What is the ten thousands digit of 8580066?
Hence: 8
Q/A: What is the hundreds digit of 1672?
Hence: 6
Q/A: What is the ten thousands digit of 10102?
Hence: 1
Q/A: What is the hundred thousands digit of 16341844?
Hence... | english |
probability: swr p sequence
---------------------------
Input: Two letters picked without replacement from {q: 1, d: 2, j: 4, i: 2, v: 6, t: 2}. What is prob of sequence vq?
Therefore: 3/136
Input: What is prob of sequence xix when three letters picked without replacement from {i: 1, o: 6, x: 4}?
Therefore: 2/165
Input... | english |
probability: swr p level set
----------------------------
Test item: Two letters picked without replacement from {k: 4, w: 15}. Give prob of picking 1 w and 1 k.
Finding: 20/57
Test item: Three letters picked without replacement from {z: 1, c: 1, y: 2, e: 1, q: 2, v: 1}. Give prob of picking 1 y and 2 q.
Finding: 1/28
... | english |
probability: swr p level set
----------------------------
Topic: Two letters picked without replacement from nvnvyyvnn. Give prob of picking 2 n.
Workthrough: 1/6
Topic: What is prob of picking 1 u and 1 s when two letters picked without replacement from {s: 2, u: 2, k: 1, z: 4, w: 1}?
Workthrough: 4/45
Topic: What is ... | english |
numbers: place value
--------------------
Given: What is the thousands digit of 1222?
Ans: 1
Given: What is the tens digit of 39487?
Ans: 8
Given: What is the thousands digit of 56816685?
Ans: 6
Given: What is the units digit of 798?
Ans: 8
Given: What is the tens digit of 152790289?
Ans: 8
Given: What is the hundreds ... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 2619 is divided by 6?
Result: 3
Example: What is the remainder when 1819 is divided by 307?
Result: 284
Example: Calculate the remainder when 447 is divided by 89.
Result: 2
Example: What is the remainder when 11097 is divided by 132?
Res... | english |
numbers: place value
--------------------
Prompt: What is the hundred thousands digit of 45063427?
Ans: 0
Prompt: What is the ten thousands digit of 711960?
Ans: 1
Prompt: What is the hundreds digit of 26951?
Ans: 9
Prompt: What is the thousands digit of 616642?
Ans: 6
Prompt: What is the hundreds digit of 8791488?
Ans... | english |
probability: swr p sequence
---------------------------
Exercise: Four letters picked without replacement from {v: 10, c: 4}. Give prob of sequence ccvv.
Key: 45/1001
Exercise: Three letters picked without replacement from ovvffvvfov. What is prob of sequence vfv?
Key: 1/12
Exercise: Calculate prob of sequence oooh whe... | english |
measurement: conversion
-----------------------
Issue: Convert 243.56106 months to decades.
Finding: 2.0296755
Issue: How many years are there in 57/5 of a decade?
Finding: 114
Issue: How many grams are there in 2/125 of a tonne?
Finding: 16000
Issue: What is five quarters of a litre in millilitres?
Finding: 1250
Issue... | english |
measurement: conversion
-----------------------
Q: How many micrometers are there in thirty-three fifths of a millimeter?
Explanation: 6600
Q: Convert 682.3054um to centimeters.
Explanation: 0.06823054
Q: Convert 85.52684 weeks to nanoseconds.
Explanation: 51726632832000000
Q: What is 0.015663t in kilograms?
Explanatio... | english |
measurement: time
-----------------
Case: How many minutes are there between 8:27 AM and 2:55 PM?
Ans: 388
Case: What is 6 minutes before 8:14 AM?
Ans: 8:08 AM
Case: How many minutes are there between 12:58 PM and 3:53 PM?
Ans: 175
Case: How many minutes are there between 8:32 PM and 1:49 AM?
Ans: 317
Case: How many mi... | english |
numbers: is prime
-----------------
Subject: Is 3817601563 composite?
Result: True
Subject: Is 15015520799 a composite number?
Result: False
Subject: Is 174297031 composite?
Result: False
Subject: Is 56067878501 a prime number?
Result: False
Subject: Is 1010343251 a composite number?
Result: True
Subject: Is 295039463 ... | english |
numbers: div remainder
----------------------
Q-: Calculate the remainder when 94989293 is divided by 700.
Calculation: 693
Q-: Calculate the remainder when 4255 is divided by 43.
Calculation: 41
Q-: Calculate the remainder when 1574987 is divided by 214.
Calculation: 161
Q-: What is the remainder when 3004 is divided ... | english |
probability: swr p sequence
---------------------------
Qn: Two letters picked without replacement from {w: 1, d: 2, a: 4, k: 1, h: 1}. What is prob of sequence kw?
Gives: 1/72
Qn: What is prob of sequence dllq when four letters picked without replacement from {z: 4, d: 8, l: 4, q: 4}?
Gives: 16/4845
Qn: Calculate prob... | english |
arithmetic: nearest integer root
--------------------------------
Situation: What is 15033 to the power of 1/8, to the nearest integer?
Calculation: 3
Situation: What is the seventh root of 617546943 to the nearest integer?
Calculation: 18
Situation: What is 1507 to the power of 1/2, to the nearest integer?
Calculation... | english |
probability: swr p sequence
---------------------------
Given: Two letters picked without replacement from {d: 2, b: 5, l: 3}. What is prob of sequence db?
= : 1/9
Given: Four letters picked without replacement from ghgztgxggwzgxghzg. Give prob of sequence htgh.
= : 1/3570
Given: Calculate prob of sequence kg when two ... | english |
numbers: is prime
-----------------
Statement: Is 224993 a composite number?
A: False
Statement: Is 28214227519 a composite number?
A: False
Statement: Is 498749263 a prime number?
A: False
Statement: Is 2898696637 composite?
A: True
Statement: Is 1729639 a prime number?
A: False
Statement: Is 271253321 prime?
A: True
... | english |
numbers: div remainder
----------------------
Exercise: What is the remainder when 164 is divided by 72?
Sol: 20
Exercise: What is the remainder when 314 is divided by 15?
Sol: 14
Exercise: What is the remainder when 13085 is divided by 154?
Sol: 149
Exercise: Calculate the remainder when 599163 is divided by 1926.
Sol... | english |
numbers: place value
--------------------
Query: What is the units digit of 130346995?
Gives: 5
Query: What is the ten thousands digit of 11234?
Gives: 1
Query: What is the units digit of 454602813?
Gives: 3
Query: What is the tens digit of 29560009?
Gives: 0
Query: What is the hundred thousands digit of 2491958?
Gives... | english |
probability: swr p sequence
---------------------------
Let: Three letters picked without replacement from {f: 1, e: 2, d: 2}. Give prob of sequence dfe.
A: 1/15
Let: Calculate prob of sequence ppl when three letters picked without replacement from {l: 5, p: 9}.
A: 15/91
Let: Two letters picked without replacement from... | english |
measurement: conversion
-----------------------
Prompt: What is 51/2 of a gram in milligrams?
Ans: 25500
Prompt: What is one tenth of a litre in millilitres?
Ans: 100
Prompt: How many meters are there in one tenth of a kilometer?
Ans: 100
Prompt: How many micrometers are there in 1/4 of a millimeter?
Ans: 250
Prompt: H... | english |
measurement: time
-----------------
Problem: What is 670 minutes before 8:42 PM?
Response: 9:32 AM
Problem: How many minutes are there between 9:10 AM and 7:07 PM?
Response: 597
Problem: What is 488 minutes before 12:20 AM?
Response: 4:12 PM
Problem: How many minutes are there between 4:37 AM and 9:30 AM?
Response: 293... | english |
measurement: conversion
-----------------------
Issue: How many meters are there in 73.49223um?
Result: 0.00007349223
Issue: What is 11/2 of a microgram in nanograms?
Result: 5500
Issue: How many litres are there in 6358.269ml?
Result: 6.358269
Issue: What is twenty-one halves of a centimeter in millimeters?
Result: 10... | english |
measurement: conversion
-----------------------
Q.: What is fourty-five halves of a litre in millilitres?
Workthrough: 22500
Q.: What is 71.96743 millimeters in meters?
Workthrough: 0.07196743
Q.: How many grams are there in 478505.4mg?
Workthrough: 478.5054
Q.: What is seven sixths of a century in months?
Workthrough:... | english |
measurement: time
-----------------
Scenario: What is 410 minutes after 4:12 PM?
Workthrough: 11:02 PM
Scenario: How many minutes are there between 11:47 AM and 12:50 PM?
Workthrough: 63
Scenario: What is 44 minutes before 2:12 PM?
Workthrough: 1:28 PM
Scenario: What is 302 minutes after 3:29 AM?
Workthrough: 8:31 AM
S... | english |
probability: swr p sequence
---------------------------
Qn: Two letters picked without replacement from {p: 2, e: 1, z: 6, j: 2}. What is prob of sequence ep?
Conclusion: 1/55
Qn: Calculate prob of sequence uk when two letters picked without replacement from {k: 1, l: 4, q: 2, u: 2, h: 5}.
Conclusion: 1/91
Qn: What is ... | english |
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