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numbers: div remainder
----------------------
Exercise: What is the remainder when 7543 is divided by 300?
Sol: 43
Exercise: Calculate the remainder when 26861 is divided by 98.
Sol: 9
Exercise: What is the remainder when 8833347 is divided by 30?
Sol: 27
Exercise: What is the remainder when 26347 is divided by 17?
Sol... | english |
numbers: gcd
------------
Math Problem: What is the highest common divisor of 9165 and 4277611?
Calculation: 611
Math Problem: Calculate the highest common factor of 640 and 2140.
Calculation: 20
Math Problem: Calculate the greatest common divisor of 69928 and 8.
Calculation: 8
Math Problem: What is the highest common ... | english |
probability: swr p level set
----------------------------
Challenge: What is prob of picking 2 c when two letters picked without replacement from {a: 3, c: 4, b: 2}?
A: 1/6
Challenge: What is prob of picking 1 s and 1 p when two letters picked without replacement from {s: 1, p: 7}?
A: 1/4
Challenge: Calculate prob of p... | english |
numbers: place value
--------------------
Qn: What is the ten thousands digit of 323195?
Hence: 2
Qn: What is the hundreds digit of 52642230?
Hence: 2
Qn: What is the tens digit of 7762?
Hence: 6
Qn: What is the hundred thousands digit of 12067216?
Hence: 0
Qn: What is the hundred thousands digit of 189042?
Hence: 1
Qn... | english |
probability: swr p level set
----------------------------
Statement: What is prob of picking 1 z and 1 k when two letters picked without replacement from {g: 1, c: 6, k: 6, z: 1, b: 3, o: 3}?
Solution: 3/95
Statement: What is prob of picking 1 d and 1 y when two letters picked without replacement from {u: 7, d: 1, x: 2... | english |
numbers: is factor
------------------
Situation: Is 38070547 a multiple of 8?
Calculation: False
Situation: Does 1921 divide 14389355?
Calculation: False
Situation: Does 2 divide 327257?
Calculation: False
Situation: Does 48 divide 5136?
Calculation: True
Situation: Does 183 divide 8819685?
Calculation: True
Situation:... | english |
measurement: conversion
-----------------------
Q: How many millilitres are there in 46/5 of a litre?
Resolution: 9200
Q: Convert 388049.7kg to milligrams.
Resolution: 388049700000
Q: What is fourty-one halves of a microgram in nanograms?
Resolution: 20500
Q: What is one twentieth of a day in seconds?
Resolution: 4320
... | english |
measurement: time
-----------------
Ask: How many minutes are there between 10:03 AM and 12:00 PM?
Eval: 117
Ask: What is 481 minutes after 1:30 AM?
Eval: 9:31 AM
Ask: What is 445 minutes after 12:10 AM?
Eval: 7:35 AM
Ask: How many minutes are there between 5:49 AM and 8:14 AM?
Eval: 145
Ask: How many minutes are there... | english |
probability: swr p level set
----------------------------
Q-: Two letters picked without replacement from uhwutwttut. Give prob of picking 2 w.
Calculation: 1/45
Q-: Four letters picked without replacement from {x: 2, n: 2, k: 1, g: 1, t: 1, h: 1}. Give prob of picking 1 t, 1 h, and 2 x.
Calculation: 1/70
Q-: What is p... | english |
numbers: is factor
------------------
Problem #: Is 6 a factor of 8?
Finding: False
Problem #: Does 56 divide 390442?
Finding: False
Problem #: Is 29957884 a multiple of 22?
Finding: True
Problem #: Does 28 divide 3302531368?
Finding: False
Problem #: Does 172 divide 252034?
Finding: False
Problem #: Is 83 a factor of ... | english |
numbers: is factor
------------------
Situation: Does 1042 divide 20094730?
Calculation: False
Situation: Is 435 a factor of 532875?
Calculation: True
Situation: Does 12 divide 1044?
Calculation: True
Situation: Is 4 a factor of 5968?
Calculation: True
Situation: Does 76 divide 29132380?
Calculation: False
Situation: I... | english |
numbers: is prime
-----------------
Request: Is 1855621939 composite?
Answer: False
Request: Is 104623 prime?
Answer: True
Request: Is 84139 prime?
Answer: False
Request: Is 79631714 composite?
Answer: True
Request: Is 4437921097 prime?
Answer: False
Request: Is 20068070566 a composite number?
Answer: True
Request: Is ... | english |
numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 1211 is divided by 391.
Therefore: 38
Inquiry: Calculate the remainder when 900 is divided by 88.
Therefore: 20
Inquiry: Calculate the remainder when 531539402 is divided by 2998.
Therefore: 2996
Inquiry: What is the remainder when 193 ... | english |
measurement: time
-----------------
Math Q: How many minutes are there between 1:10 AM and 11:27 AM?
Key: 617
Math Q: How many minutes are there between 10:36 PM and 2:32 AM?
Key: 236
Math Q: What is 525 minutes after 2:30 PM?
Key: 11:15 PM
Math Q: What is 175 minutes after 1:56 AM?
Key: 4:51 AM
Math Q: What is 252 min... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is 56717 to the power of 1/2, to the nearest integer?
Conclusion: 238
Q=: What is 6247545 to the power of 1/3, to the nearest integer?
Conclusion: 184
Q=: What is the cube root of 34422 to the nearest integer?
Conclusion: 33
Q=: What is the cube... | english |
arithmetic: nearest integer root
--------------------------------
Let: What is the tenth root of 1800 to the nearest integer?
Answer: 2
Let: What is the cube root of 114579 to the nearest integer?
Answer: 49
Let: What is 91175 to the power of 1/2, to the nearest integer?
Answer: 302
Let: What is the tenth root of 73840... | english |
numbers: place value
--------------------
Puzzle: What is the tens digit of 437?
Eval: 3
Puzzle: What is the thousands digit of 5500?
Eval: 5
Puzzle: What is the ten thousands digit of 39663944?
Eval: 6
Puzzle: What is the units digit of 4143072?
Eval: 2
Puzzle: What is the millions digit of 3274148?
Eval: 3
Puzzle: Wh... | english |
probability: swr p sequence
---------------------------
Q: Calculate prob of sequence ssss when four letters picked without replacement from {s: 4}.
Therefore: 1
Q: Three letters picked without replacement from fpypphykpwkkffppfp. Give prob of sequence hyp.
Therefore: 7/2448
Q: Calculate prob of sequence qse when three... | english |
numbers: div remainder
----------------------
Let us solve: What is the remainder when 2037268 is divided by 177?
→: 175
Let us solve: What is the remainder when 3461 is divided by 675?
→: 86
Let us solve: What is the remainder when 179424 is divided by 13?
→: 11
Let us solve: Calculate the remainder when 140 is divide... | english |
arithmetic: nearest integer root
--------------------------------
Qn: What is the eighth root of 54472 to the nearest integer?
Response: 4
Qn: What is 6145 to the power of 1/3, to the nearest integer?
Response: 18
Qn: What is the cube root of 6507261446 to the nearest integer?
Response: 1867
Qn: What is the tenth root ... | english |
measurement: conversion
-----------------------
Problem: Convert 0.5968988 litres to millilitres.
Compute: 596.8988
Problem: Convert 7.142554 litres to millilitres.
Compute: 7142.554
Problem: How many litres are there in 122.9408ml?
Compute: 0.1229408
Problem: What is 31984.19l in millilitres?
Compute: 31984190
Problem... | english |
numbers: is factor
------------------
Situation: Is 972 a multiple of 54?
Steps: True
Situation: Is 4 a factor of 165?
Steps: False
Situation: Does 337 divide 181306?
Steps: True
Situation: Is 65 a factor of 666770?
Steps: True
Situation: Does 4648 divide 136944024?
Steps: True
Situation: Does 8 divide 3479024?
Steps: ... | english |
measurement: time
-----------------
Question: How many minutes are there between 6:31 AM and 3:49 PM?
Workthrough: 558
Question: What is 402 minutes after 5:38 PM?
Workthrough: 12:20 AM
Question: What is 197 minutes after 4:03 PM?
Workthrough: 7:20 PM
Question: What is 345 minutes after 12:06 AM?
Workthrough: 5:51 AM
Q... | english |
measurement: conversion
-----------------------
Exercise: How many nanograms are there in 913.403kg?
Output: 913403000000000
Exercise: What is 93.72759 millennia in decades?
Output: 9372.759
Exercise: How many litres are there in 9.954013ml?
Output: 0.009954013
Exercise: What is 94.52231m in centimeters?
Output: 9452.2... | english |
numbers: div remainder
----------------------
Item: Calculate the remainder when 73961 is divided by 229.
Output: 223
Item: What is the remainder when 4860 is divided by 26?
Output: 24
Item: Calculate the remainder when 12963 is divided by 564.
Output: 555
Item: What is the remainder when 3099 is divided by 384?
Output... | english |
numbers: place value
--------------------
Test item: What is the units digit of 146537?
A: 7
Test item: What is the hundreds digit of 563313?
A: 3
Test item: What is the ten thousands digit of 2941754?
A: 4
Test item: What is the hundred thousands digit of 538662690?
A: 6
Test item: What is the hundred thousands digit ... | english |
numbers: place value
--------------------
Input: What is the tens digit of 113315789?
Therefore: 8
Input: What is the units digit of 306442?
Therefore: 2
Input: What is the hundreds digit of 9505?
Therefore: 5
Input: What is the hundreds digit of 8065168191?
Therefore: 1
Input: What is the units digit of 391769195?
The... | english |
numbers: gcd
------------
Q-: What is the greatest common factor of 172 and 473?
Final Answer: 43
Q-: Calculate the greatest common factor of 84 and 551808978.
Final Answer: 42
Q-: Calculate the greatest common divisor of 27358756 and 8.
Final Answer: 4
Q-: Calculate the highest common factor of 415839 and 1746.
Final ... | english |
numbers: is factor
------------------
Request: Is 27255 a multiple of 115?
Final Answer: True
Request: Is 13 a factor of 1301211787?
Final Answer: False
Request: Does 8073 divide 1055120739?
Final Answer: False
Request: Is 198 a factor of 2827242?
Final Answer: True
Request: Is 56332863 a multiple of 4?
Final Answer: F... | english |
probability: swr p level set
----------------------------
Task: What is prob of picking 3 u and 1 o when four letters picked without replacement from ooooooooouuuoooooo?
Solution: 1/204
Task: Two letters picked without replacement from ddqdrdqqobbdoqqqqq. Give prob of picking 1 d and 1 r.
Solution: 5/153
Task: Four let... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is the third root of 169 to the nearest integer?
Answer: 6
Problem: What is 426332 to the power of 1/8, to the nearest integer?
Answer: 5
Problem: What is the square root of 45263931 to the nearest integer?
Answer: 6728
Problem: What is 401... | english |
probability: swr p level set
----------------------------
Exercise: What is prob of picking 1 t and 3 j when four letters picked without replacement from tssssjsjestssssstsjj?
Calculation: 4/1615
Exercise: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from oxoq.
Calculation: 1/3
Exer... | english |
numbers: is factor
------------------
Statement: Is 888 a multiple of 3?
Fix: True
Statement: Is 1489503 a multiple of 69?
Fix: True
Statement: Is 127302 a multiple of 14?
Fix: True
Statement: Is 56 a factor of 1232?
Fix: True
Statement: Is 895160 a multiple of 12?
Fix: False
Statement: Is 13 a factor of 5153590?
Fix: ... | english |
measurement: time
-----------------
Prompt: How many minutes are there between 2:44 PM and 5:20 PM?
Yields: 156
Prompt: How many minutes are there between 7:17 PM and 9:50 PM?
Yields: 153
Prompt: What is 353 minutes before 6:48 PM?
Yields: 12:55 PM
Prompt: How many minutes are there between 7:07 PM and 8:01 PM?
Yields:... | english |
arithmetic: nearest integer root
--------------------------------
Situation: What is 1111531525 to the power of 1/10, to the nearest integer?
Resolution: 8
Situation: What is the seventh root of 484 to the nearest integer?
Resolution: 2
Situation: What is 2171665 to the power of 1/9, to the nearest integer?
Resolution:... | english |
numbers: div remainder
----------------------
Challenge: Calculate the remainder when 831191 is divided by 831189.
Clarification: 2
Challenge: Calculate the remainder when 700 is divided by 352.
Clarification: 348
Challenge: Calculate the remainder when 2559 is divided by 122.
Clarification: 119
Challenge: Calculate th... | english |
numbers: place value
--------------------
Conundrum: What is the thousands digit of 1278851?
Calculation: 8
Conundrum: What is the units digit of 2345?
Calculation: 5
Conundrum: What is the ten millions digit of 68257497?
Calculation: 6
Conundrum: What is the thousands digit of 812865272?
Calculation: 5
Conundrum: What... | english |
probability: swr p level set
----------------------------
Test item: Calculate prob of picking 4 t when four letters picked without replacement from dddttddtdddddt.
Outcome: 1/1001
Test item: Two letters picked without replacement from {c: 9, b: 1, i: 7, j: 1}. Give prob of picking 1 i and 1 j.
Outcome: 7/153
Test item... | english |
arithmetic: nearest integer root
--------------------------------
Puzzle: What is 31480532 to the power of 1/9, to the nearest integer?
Final Answer: 7
Puzzle: What is the fourth root of 4660573636 to the nearest integer?
Final Answer: 261
Puzzle: What is 54203569 to the power of 1/2, to the nearest integer?
Final Answ... | english |
numbers: is prime
-----------------
Ask: Is 116976715 prime?
Calculation: False
Ask: Is 220161 prime?
Calculation: False
Ask: Is 278489 a prime number?
Calculation: True
Ask: Is 1623 a composite number?
Calculation: True
Ask: Is 59803 prime?
Calculation: False
Ask: Is 13249787 a prime number?
Calculation: True
Ask: Is ... | english |
probability: swr p sequence
---------------------------
Q): What is prob of sequence nqnc when four letters picked without replacement from {h: 3, p: 1, q: 4, c: 1, n: 5, t: 4}?
Key: 1/918
Q): Calculate prob of sequence fssf when four letters picked without replacement from ssssfsssxsxssxxsxsf.
Key: 11/3876
Q): What is... | english |
numbers: place value
--------------------
Math Q: What is the thousands digit of 523328?
Explanation: 3
Math Q: What is the tens digit of 140447463?
Explanation: 6
Math Q: What is the units digit of 19096519?
Explanation: 9
Math Q: What is the thousands digit of 149913?
Explanation: 9
Math Q: What is the tens digit of ... | english |
measurement: time
-----------------
Step: How many minutes are there between 8:25 PM and 1:18 AM?
Yields: 293
Step: What is 331 minutes after 10:58 AM?
Yields: 4:29 PM
Step: How many minutes are there between 1:05 PM and 4:36 PM?
Yields: 211
Step: What is 573 minutes before 5:27 PM?
Yields: 7:54 AM
Step: What is 697 mi... | english |
measurement: conversion
-----------------------
Prompt: How many decades are there in 17/2 of a century?
Finding: 85
Prompt: How many months are there in 28/3 of a year?
Finding: 112
Prompt: How many centimeters are there in 75223.53mm?
Finding: 7522.353
Prompt: What is 17123.1 seconds in minutes?
Finding: 285.385
Prom... | english |
numbers: is prime
-----------------
Task: Is 71524969 composite?
Result: False
Task: Is 42697256533 composite?
Result: True
Task: Is 10052737 composite?
Result: False
Task: Is 397047851 a composite number?
Result: True
Task: Is 506231 prime?
Result: False
Task: Is 14660584399 a prime number?
Result: False
Task: Is 2059... | english |
probability: swr p level set
----------------------------
Part A: Four letters picked without replacement from {s: 2, b: 12, j: 3}. Give prob of picking 1 s, 1 j, and 2 b.
Ans: 99/595
Part A: Four letters picked without replacement from {e: 1, w: 1, i: 4, q: 3, m: 2}. Give prob of picking 1 q, 1 w, 1 e, and 1 m.
Ans: 1... | english |
arithmetic: nearest integer root
--------------------------------
Qn: What is 45619 to the power of 1/2, to the nearest integer?
Explanation: 214
Qn: What is the sixth root of 22156 to the nearest integer?
Explanation: 5
Qn: What is 487969296 to the power of 1/2, to the nearest integer?
Explanation: 22090
Qn: What is 2... | english |
numbers: gcd
------------
Item: What is the greatest common divisor of 432 and 594?
Interpretation: 54
Item: Calculate the highest common divisor of 371 and 159.
Interpretation: 53
Item: Calculate the highest common divisor of 3535 and 27326560.
Interpretation: 505
Item: Calculate the greatest common divisor of 46 and ... | english |
probability: swr p level set
----------------------------
Example: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from {q: 3, j: 3, c: 3, k: 1}.
Key: 3/40
Example: What is prob of picking 1 h and 2 i when three letters picked without replacement from ihhiihihhwiwhihi?
Key: 21/80
Exa... | english |
probability: swr p level set
----------------------------
Prompt: Two letters picked without replacement from ztzzfzpfftzztfpzz. What is prob of picking 1 z and 1 t?
Thus: 3/17
Prompt: Two letters picked without replacement from {v: 3, e: 1, m: 10, a: 2}. What is prob of picking 1 e and 1 v?
Thus: 1/40
Prompt: Two lett... | english |
numbers: div remainder
----------------------
Input: Calculate the remainder when 1629417 is divided by 868.
Derivation: 181
Input: What is the remainder when 4736 is divided by 156?
Derivation: 56
Input: What is the remainder when 69674 is divided by 29?
Derivation: 16
Input: Calculate the remainder when 10024 is divi... | english |
numbers: place value
--------------------
Given: What is the thousands digit of 46853079?
Result: 3
Given: What is the units digit of 606?
Result: 6
Given: What is the hundred thousands digit of 211830?
Result: 2
Given: What is the tens digit of 178930?
Result: 3
Given: What is the tens digit of 59?
Result: 5
Given: Wh... | english |
numbers: place value
--------------------
Test item: What is the ten thousands digit of 138665?
A: 3
Test item: What is the units digit of 2242504?
A: 4
Test item: What is the ten millions digit of 3951659278?
A: 5
Test item: What is the hundred thousands digit of 974034?
A: 9
Test item: What is the millions digit of 4... | english |
numbers: place value
--------------------
Step: What is the units digit of 2495?
Therefore: 5
Step: What is the hundreds digit of 9579?
Therefore: 5
Step: What is the millions digit of 5226487?
Therefore: 5
Step: What is the tens digit of 5539139?
Therefore: 3
Step: What is the thousands digit of 2068?
Therefore: 2
Ste... | english |
measurement: time
-----------------
Test item: How many minutes are there between 4:28 PM and 3:44 AM?
Soln: 676
Test item: What is 145 minutes after 4:38 PM?
Soln: 7:03 PM
Test item: How many minutes are there between 2:32 PM and 12:19 AM?
Soln: 587
Test item: How many minutes are there between 12:28 AM and 1:10 AM?
S... | english |
numbers: is prime
-----------------
Given: Is 3831573423 composite?
Yields: True
Given: Is 760396229 composite?
Yields: False
Given: Is 112165 a composite number?
Yields: True
Given: Is 31359 prime?
Yields: False
Given: Is 1715838863 prime?
Yields: False
Given: Is 787921 prime?
Yields: False
Given: Is 1981576343 a prim... | english |
numbers: place value
--------------------
Question: What is the ten millions digit of 310612286?
Fix: 1
Question: What is the thousands digit of 917309?
Fix: 7
Question: What is the millions digit of 2376163?
Fix: 2
Question: What is the millions digit of 15758284?
Fix: 5
Question: What is the ten thousands digit of 40... | english |
numbers: is factor
------------------
Step: Does 542 divide 1010452905?
Resolution: False
Step: Does 834 divide 143344749?
Resolution: False
Step: Is 328284 a multiple of 17?
Resolution: False
Step: Does 48 divide 61791?
Resolution: False
Step: Does 4 divide 192?
Resolution: True
Step: Is 37488 a multiple of 88?
Resolu... | english |
numbers: div remainder
----------------------
Problem Statement: Calculate the remainder when 329 is divided by 230.
Math A: 99
Problem Statement: What is the remainder when 1782 is divided by 1765?
Math A: 17
Problem Statement: What is the remainder when 105 is divided by 25?
Math A: 5
Problem Statement: What is the r... | english |
numbers: is prime
-----------------
Test item: Is 6995 a composite number?
Fix: True
Test item: Is 593867 a prime number?
Fix: False
Test item: Is 426166537 prime?
Fix: True
Test item: Is 10319591 prime?
Fix: False
Test item: Is 15727 a prime number?
Fix: True
Test item: Is 591493 prime?
Fix: False
Test item: Is 233870... | english |
numbers: is prime
-----------------
Task: Is 263076129167 composite?
Finding: False
Task: Is 26539 composite?
Finding: False
Task: Is 892951 prime?
Finding: True
Task: Is 618089737 a composite number?
Finding: False
Task: Is 1071678977 a composite number?
Finding: True
Task: Is 89437 a composite number?
Finding: True
T... | english |
numbers: is factor
------------------
Exercise: Does 4122 divide 197752950?
Resolution: True
Exercise: Does 1452 divide 1902923?
Resolution: False
Exercise: Is 123 a factor of 403194?
Resolution: True
Exercise: Is 34706 a multiple of 61?
Resolution: False
Exercise: Is 7877 a factor of 1602654420?
Resolution: True
Exerc... | english |
probability: swr p sequence
---------------------------
Exercise: What is prob of sequence gw when two letters picked without replacement from {g: 3, r: 1, w: 2, y: 1, i: 3}?
Solution: 1/15
Exercise: Three letters picked without replacement from {w: 1, s: 1, b: 2, m: 1, t: 4}. Give prob of sequence bwb.
Solution: 1/252... | english |
measurement: time
-----------------
Math Q: What is 402 minutes before 2:44 PM?
Response: 8:02 AM
Math Q: How many minutes are there between 4:28 AM and 4:27 PM?
Response: 719
Math Q: How many minutes are there between 2:37 AM and 3:15 AM?
Response: 38
Math Q: What is 708 minutes before 7:14 PM?
Response: 7:26 AM
Math ... | english |
numbers: div remainder
----------------------
Part A: Calculate the remainder when 6735 is divided by 23.
Response: 19
Part A: What is the remainder when 54 is divided by 3?
Response: 0
Part A: Calculate the remainder when 6240 is divided by 405.
Response: 165
Part A: What is the remainder when 1048 is divided by 25?
R... | english |
probability: swr p sequence
---------------------------
Let: Four letters picked without replacement from {s: 1, w: 2, t: 1, q: 1, c: 2, z: 1}. Give prob of sequence wcqs.
Answer: 1/420
Let: Three letters picked without replacement from {o: 2, b: 2, m: 2}. What is prob of sequence bmo?
Answer: 1/15
Let: Calculate prob ... | english |
measurement: conversion
-----------------------
What if: How many grams are there in 46.18391 kilograms?
Thus: 46183.91
What if: What is 6393867.3 minutes in days?
Thus: 4440.185625
What if: How many milliseconds are there in 3/10 of a minute?
Thus: 18000
What if: What is thirty-seven halves of a decade in years?
Thus:... | english |
numbers: is prime
-----------------
Given: Is 9193 composite?
Calculation: True
Given: Is 313307 prime?
Calculation: True
Given: Is 5047764682 composite?
Calculation: True
Given: Is 7000655 prime?
Calculation: False
Given: Is 355751909 a composite number?
Calculation: True
Given: Is 30289 a prime number?
Calculation: F... | english |
arithmetic: nearest integer root
--------------------------------
Q): What is the fifth root of 3463686 to the nearest integer?
Response: 20
Q): What is the cube root of 1345 to the nearest integer?
Response: 11
Q): What is 2109 to the power of 1/3, to the nearest integer?
Response: 13
Q): What is the square root of 15... | english |
numbers: div remainder
----------------------
Q): Calculate the remainder when 688677 is divided by 193.
Resolution: 53
Q): Calculate the remainder when 8038 is divided by 30.
Resolution: 28
Q): What is the remainder when 2248977 is divided by 14234?
Resolution: 5
Q): Calculate the remainder when 76 is divided by 48.
R... | english |
measurement: conversion
-----------------------
Given: How many millimeters are there in one fifth of a meter?
Workthrough: 200
Given: How many hours are there in 3/7 of a week?
Workthrough: 72
Given: What is 0.7918266m in centimeters?
Workthrough: 79.18266
Given: How many milligrams are there in 3/10 of a gram?
Workth... | english |
arithmetic: nearest integer root
--------------------------------
Scenario: What is the tenth root of 152484 to the nearest integer?
Solution: 3
Scenario: What is the square root of 64667331 to the nearest integer?
Solution: 8042
Scenario: What is 22919 to the power of 1/6, to the nearest integer?
Solution: 5
Scenario:... | english |
probability: swr p level set
----------------------------
Problem: Three letters picked without replacement from ibbibbb. Give prob of picking 1 i and 2 b.
Result: 4/7
Problem: What is prob of picking 3 v when three letters picked without replacement from {v: 2, u: 9}?
Result: 0
Problem: Three letters picked without re... | english |
probability: swr p sequence
---------------------------
Given: What is prob of sequence jaar when four letters picked without replacement from {a: 3, o: 2, b: 2, m: 2, r: 4, j: 2}?
Fix: 2/1365
Given: Two letters picked without replacement from jjjoojjjj. What is prob of sequence jo?
Fix: 7/36
Given: What is prob of seq... | english |
numbers: place value
--------------------
Input: What is the units digit of 3212241?
Response: 1
Input: What is the hundred thousands digit of 49425586?
Response: 4
Input: What is the thousands digit of 21766?
Response: 1
Input: What is the thousands digit of 7005?
Response: 7
Input: What is the ten millions digit of 3... | english |
numbers: div remainder
----------------------
Scenario: Calculate the remainder when 157 is divided by 80.
Explanation: 77
Scenario: Calculate the remainder when 712 is divided by 42.
Explanation: 40
Scenario: What is the remainder when 214642 is divided by 39?
Explanation: 25
Scenario: Calculate the remainder when 207... | english |
measurement: time
-----------------
Item: How many minutes are there between 6:40 PM and 5:52 AM?
Yields: 672
Item: What is 647 minutes after 7:11 PM?
Yields: 5:58 AM
Item: How many minutes are there between 2:48 AM and 10:13 AM?
Yields: 445
Item: How many minutes are there between 12:33 AM and 2:55 AM?
Yields: 142
Ite... | english |
numbers: place value
--------------------
Puzzle: What is the tens digit of 1515?
Steps: 1
Puzzle: What is the thousands digit of 1322?
Steps: 1
Puzzle: What is the hundreds digit of 12300?
Steps: 3
Puzzle: What is the ten thousands digit of 4335357?
Steps: 3
Puzzle: What is the units digit of 67483584?
Steps: 4
Puzzle... | english |
numbers: is factor
------------------
Ask: Does 92 divide 10494?
Conclusion: False
Ask: Is 719 a multiple of 67?
Conclusion: False
Ask: Is 834529 a multiple of 494?
Conclusion: False
Ask: Is 17 a factor of 1009?
Conclusion: False
Ask: Does 6 divide 1552?
Conclusion: False
Ask: Does 38 divide 2012?
Conclusion: False
Ask... | english |
numbers: is factor
------------------
Problem: Is 1196 a multiple of 13?
Steps: True
Problem: Is 935 a factor of 1011670?
Steps: True
Problem: Does 605 divide 1328434?
Steps: False
Problem: Is 6028 even?
Steps: True
Problem: Is 63 a factor of 2394?
Steps: True
Problem: Is 31 a factor of 34100?
Steps: True
Problem: Is 3... | english |
probability: swr p sequence
---------------------------
Ask: Two letters picked without replacement from {i: 3, f: 5, n: 4}. Give prob of sequence ii.
Eval: 1/22
Ask: Calculate prob of sequence cckr when four letters picked without replacement from kkckllkkkllkrc.
Eval: 1/1716
Ask: What is prob of sequence yvdy when fo... | english |
arithmetic: nearest integer root
--------------------------------
Situation: What is 613216807 to the power of 1/2, to the nearest integer?
Result: 24763
Situation: What is the square root of 7968 to the nearest integer?
Result: 89
Situation: What is the tenth root of 42256 to the nearest integer?
Result: 3
Situation: ... | english |
measurement: conversion
-----------------------
Problem #: How many millilitres are there in seventeen halves of a litre?
Sol: 8500
Problem #: Convert 98.61444nm to micrometers.
Sol: 0.09861444
Problem #: What is 301320.7 micrometers in nanometers?
Sol: 301320700
Problem #: How many years are there in 3/10 of a decade?... | english |
numbers: place value
--------------------
Problem: What is the tens digit of 174092?
Steps: 9
Problem: What is the hundreds digit of 4519?
Steps: 5
Problem: What is the thousands digit of 19940961?
Steps: 0
Problem: What is the hundred thousands digit of 2360057?
Steps: 3
Problem: What is the tens digit of 440296?
Step... | english |
numbers: gcd
------------
Query: What is the greatest common divisor of 3013 and 1048?
Hence: 131
Query: What is the greatest common factor of 192215 and 703403?
Hence: 1039
Query: Calculate the highest common factor of 99 and 88.
Hence: 11
Query: What is the greatest common divisor of 609 and 1190653?
Hence: 29
Query:... | english |
numbers: gcd
------------
Puzzle: What is the greatest common factor of 6828374 and 70?
Calculation: 14
Puzzle: Calculate the greatest common divisor of 46 and 322.
Calculation: 46
Puzzle: What is the greatest common factor of 21990 and 7716?
Calculation: 6
Puzzle: Calculate the highest common factor of 37 and 1369.
Ca... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is 2629386 to the power of 1/6, to the nearest integer?
Gives: 12
Item: What is the square root of 478867565 to the nearest integer?
Gives: 21883
Item: What is 147079 to the power of 1/3, to the nearest integer?
Gives: 53
Item: What is the thi... | english |
probability: swr p sequence
---------------------------
Example: Two letters picked without replacement from {j: 2, e: 1}. What is prob of sequence ej?
Solution: 1/3
Example: Three letters picked without replacement from cxbbcpcc. What is prob of sequence xpc?
Solution: 1/84
Example: What is prob of sequence jzv when t... | english |
probability: swr p level set
----------------------------
Input: Four letters picked without replacement from {z: 4, y: 1, u: 5}. Give prob of picking 4 z.
Result: 1/210
Input: Calculate prob of picking 1 d, 1 k, and 2 i when four letters picked without replacement from {i: 3, k: 1, n: 1, d: 3, s: 2, c: 2}.
Result: 1/5... | english |
numbers: place value
--------------------
Q: What is the hundred millions digit of 333870936?
A: 3
Q: What is the thousands digit of 20490748?
A: 0
Q: What is the hundred thousands digit of 2448653?
A: 4
Q: What is the thousands digit of 10822?
A: 0
Q: What is the units digit of 26378?
A: 8
Q: What is the ten thousands... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is 3044 to the power of 1/3, to the nearest integer?
Answer: 14
Q=: What is the cube root of 14209 to the nearest integer?
Answer: 24
Q=: What is 114050 to the power of 1/8, to the nearest integer?
Answer: 4
Q=: What is the sixth root of 72937 t... | english |
numbers: div remainder
----------------------
Prompt: What is the remainder when 846 is divided by 78?
Hence: 66
Prompt: What is the remainder when 12676 is divided by 192?
Hence: 4
Prompt: What is the remainder when 23775 is divided by 7339?
Hence: 1758
Prompt: What is the remainder when 67267 is divided by 41?
Hence:... | english |
numbers: place value
--------------------
Problem Statement: What is the units digit of 237986753?
Hence: 3
Problem Statement: What is the hundred thousands digit of 303827723?
Hence: 8
Problem Statement: What is the units digit of 479?
Hence: 9
Problem Statement: What is the ten thousands digit of 114760?
Hence: 1
Pro... | english |
measurement: time
-----------------
Subquestion: What is 458 minutes after 9:18 PM?
Key: 4:56 AM
Subquestion: What is 291 minutes before 5:35 AM?
Key: 12:44 AM
Subquestion: What is 693 minutes after 11:05 AM?
Key: 10:38 PM
Subquestion: What is 623 minutes before 2:17 PM?
Key: 3:54 AM
Subquestion: How many minutes are t... | english |
numbers: div remainder
----------------------
Prompt: Calculate the remainder when 74 is divided by 61.
Result: 13
Prompt: Calculate the remainder when 191 is divided by 5.
Result: 1
Prompt: Calculate the remainder when 769 is divided by 747.
Result: 22
Prompt: What is the remainder when 2381 is divided by 131?
Result:... | english |
probability: swr p level set
----------------------------
Given: Calculate prob of picking 1 l, 1 t, and 1 w when three letters picked without replacement from {w: 2, t: 2, l: 8}.
Sol: 8/55
Given: Three letters picked without replacement from cicciiiiiiiiciiiiici. What is prob of picking 2 i and 1 c?
Sol: 35/76
Given: ... | english |
measurement: time
-----------------
Problem: What is 136 minutes after 4:19 PM?
Eval: 6:35 PM
Problem: How many minutes are there between 4:09 AM and 4:19 AM?
Eval: 10
Problem: What is 191 minutes before 7:11 AM?
Eval: 4:00 AM
Problem: What is 462 minutes after 4:18 AM?
Eval: 12:00 PM
Problem: What is 576 minutes after... | english |
measurement: conversion
-----------------------
Part A: Convert 34.74313s to microseconds.
Eval: 34743130
Part A: What is one quarter of a litre in millilitres?
Eval: 250
Part A: How many minutes are there in sixty-four fifths of a day?
Eval: 18432
Part A: What is 82.09693 centuries in years?
Eval: 8209.693
Part A: Wha... | english |
numbers: place value
--------------------
Conundrum: What is the millions digit of 142300061?
Output: 2
Conundrum: What is the hundreds digit of 48900824?
Output: 8
Conundrum: What is the thousands digit of 61721?
Output: 1
Conundrum: What is the ten thousands digit of 339799260?
Output: 9
Conundrum: What is the units ... | english |
numbers: div remainder
----------------------
Input: Calculate the remainder when 601 is divided by 2.
→: 1
Input: What is the remainder when 805123546 is divided by 534?
→: 532
Input: What is the remainder when 182 is divided by 22?
→: 6
Input: Calculate the remainder when 21156551 is divided by 72.
→: 71
Input: What ... | english |
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