text stringlengths 256 2k | language stringclasses 2
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probability: swr p sequence
---------------------------
Query: Four letters picked without replacement from {n: 2, y: 3, f: 3}. What is prob of sequence nfff?
Workthrough: 1/140
Query: Calculate prob of sequence tts when three letters picked without replacement from {v: 3, s: 2, q: 2, t: 8, j: 1, c: 4}.
Workthrough: 14... | english |
measurement: conversion
-----------------------
Topic: Convert 56.19822cm to millimeters.
Soln: 561.9822
Topic: Convert 9.44093 milligrams to tonnes.
Soln: 0.00000000944093
Topic: What is 43/2 of a kilometer in meters?
Soln: 21500
Topic: Convert 45988.7t to micrograms.
Soln: 45988700000000000
Topic: What is 1/4 of a ce... | english |
arithmetic: nearest integer root
--------------------------------
Case: What is 184161578 to the power of 1/3, to the nearest integer?
Soln: 569
Case: What is the ninth root of 542354 to the nearest integer?
Soln: 4
Case: What is the square root of 3168916 to the nearest integer?
Soln: 1780
Case: What is the sixth root... | english |
numbers: is prime
-----------------
Test item: Is 16542022141 a prime number?
Final Answer: True
Test item: Is 393935 prime?
Final Answer: False
Test item: Is 240321 composite?
Final Answer: True
Test item: Is 944155 prime?
Final Answer: False
Test item: Is 51454759 composite?
Final Answer: False
Test item: Is 24641199... | english |
probability: swr p sequence
---------------------------
Problem: Calculate prob of sequence qnn when three letters picked without replacement from qnnqqqiinqqiqinqiqqi.
Calculation: 1/57
Problem: What is prob of sequence qy when two letters picked without replacement from yqqqyyyyyqyqy?
Calculation: 10/39
Problem: What... | english |
probability: swr p sequence
---------------------------
Exercise: Calculate prob of sequence jjjj when four letters picked without replacement from ffjfjfjjfjjjffjjfjf.
Compute: 35/646
Exercise: Four letters picked without replacement from hwfhfhfhwwh. Give prob of sequence wffh.
Compute: 1/88
Exercise: Two letters pic... | english |
arithmetic: nearest integer root
--------------------------------
Conundrum: What is the square root of 4844931954 to the nearest integer?
A: 69606
Conundrum: What is the square root of 1839437 to the nearest integer?
A: 1356
Conundrum: What is the seventh root of 592 to the nearest integer?
A: 2
Conundrum: What is the... | english |
numbers: is prime
-----------------
Task: Is 13964299 composite?
Key: False
Task: Is 162209 a prime number?
Key: True
Task: Is 849575507 composite?
Key: True
Task: Is 1676133799 a prime number?
Key: True
Task: Is 72843 prime?
Key: False
Task: Is 436147 a prime number?
Key: True
Task: Is 394549 composite?
Key: False
Tas... | english |
numbers: is prime
-----------------
Statement: Is 13613543 a composite number?
Result: True
Statement: Is 776085971 prime?
Result: True
Statement: Is 250187957 composite?
Result: False
Statement: Is 21758465 a prime number?
Result: False
Statement: Is 192339689 a composite number?
Result: False
Statement: Is 339197 com... | english |
measurement: time
-----------------
Step: How many minutes are there between 6:55 PM and 9:34 PM?
Answer: 159
Step: How many minutes are there between 10:13 PM and 7:29 AM?
Answer: 556
Step: What is 404 minutes after 10:47 PM?
Answer: 5:31 AM
Step: How many minutes are there between 11:28 AM and 12:07 PM?
Answer: 39
St... | english |
measurement: conversion
-----------------------
Puzzle: How many millennia are there in 9.367278 centuries?
Reply: 0.9367278
Puzzle: How many tonnes are there in 513294.4g?
Reply: 0.5132944
Puzzle: What is twenty-one quarters of a tonne in kilograms?
Reply: 5250
Puzzle: What is 234.5258ug in grams?
Reply: 0.0002345258
... | english |
numbers: gcd
------------
Issue: What is the highest common divisor of 612 and 18?
Outcome: 18
Issue: What is the greatest common divisor of 651 and 1054?
Outcome: 31
Issue: Calculate the highest common factor of 5005 and 414960.
Outcome: 455
Issue: What is the highest common divisor of 52 and 5816?
Outcome: 4
Issue: C... | english |
measurement: conversion
-----------------------
Problem Statement: How many micrograms are there in seven eighths of a milligram?
Response: 875
Problem Statement: How many millilitres are there in 1/4 of a litre?
Response: 250
Problem Statement: What is 15/4 of a kilogram in grams?
Response: 3750
Problem Statement: How... | english |
numbers: is prime
-----------------
Item: Is 471 a prime number?
Math A: False
Item: Is 436919 prime?
Math A: False
Item: Is 101765737 composite?
Math A: True
Item: Is 25045 prime?
Math A: False
Item: Is 2110709 a prime number?
Math A: True
Item: Is 36633173 a composite number?
Math A: False
Item: Is 2785 a prime numbe... | english |
probability: swr p sequence
---------------------------
Inquiry: Two letters picked without replacement from {n: 1, a: 6, g: 2, z: 5, e: 1, p: 5}. Give prob of sequence zg.
Ans: 1/38
Inquiry: Two letters picked without replacement from {r: 3, a: 3}. What is prob of sequence aa?
Ans: 1/5
Inquiry: Four letters picked wit... | english |
arithmetic: nearest integer root
--------------------------------
Issue: What is 82652 to the power of 1/8, to the nearest integer?
→: 4
Issue: What is 39513 to the power of 1/6, to the nearest integer?
→: 6
Issue: What is the eighth root of 28400300 to the nearest integer?
→: 9
Issue: What is 6487 to the power of 1/10... | english |
probability: swr p sequence
---------------------------
Q): What is prob of sequence rr when two letters picked without replacement from {r: 2, v: 1, c: 1, w: 1}?
Gives: 1/10
Q): Two letters picked without replacement from {q: 1, s: 1, c: 2, k: 2}. What is prob of sequence qs?
Gives: 1/30
Q): What is prob of sequence h... | english |
measurement: time
-----------------
Q/A: How many minutes are there between 1:41 PM and 1:30 AM?
Steps: 709
Q/A: What is 492 minutes before 3:49 PM?
Steps: 7:37 AM
Q/A: What is 496 minutes before 1:46 AM?
Steps: 5:30 PM
Q/A: How many minutes are there between 1:07 AM and 12:37 PM?
Steps: 690
Q/A: How many minutes are t... | english |
numbers: gcd
------------
Exercise: What is the highest common divisor of 678680964 and 23?
Steps: 23
Exercise: Calculate the highest common divisor of 94 and 8.
Steps: 2
Exercise: Calculate the greatest common divisor of 247070 and 6145.
Steps: 5
Exercise: What is the highest common factor of 8890 and 4318?
Steps: 254... | english |
probability: swr p level set
----------------------------
Let: Four letters picked without replacement from {w: 3, u: 2}. What is prob of picking 3 u and 1 w?
Ans: 0
Let: Two letters picked without replacement from {j: 2, w: 1, t: 3, i: 1}. Give prob of picking 1 j and 1 t.
Ans: 2/7
Let: Calculate prob of picking 1 h a... | english |
measurement: conversion
-----------------------
Math Problem: How many grams are there in 0.1392327 tonnes?
Thus: 139232.7
Math Problem: Convert 87.72842l to millilitres.
Thus: 87728.42
Math Problem: How many micrometers are there in 18/5 of a centimeter?
Thus: 36000
Math Problem: How many hours are there in seven sixt... | english |
numbers: place value
--------------------
Subject: What is the tens digit of 652?
Interpretation: 5
Subject: What is the thousands digit of 1802?
Interpretation: 1
Subject: What is the thousands digit of 20768477?
Interpretation: 8
Subject: What is the hundreds digit of 2150275089?
Interpretation: 0
Subject: What is th... | english |
numbers: place value
--------------------
Topic: What is the hundreds digit of 566552301?
Reply: 3
Topic: What is the tens digit of 1646?
Reply: 4
Topic: What is the thousands digit of 1375?
Reply: 1
Topic: What is the billions digit of 1030750275?
Reply: 1
Topic: What is the thousands digit of 4918?
Reply: 4
Topic: Wh... | english |
probability: swr p level set
----------------------------
Query: What is prob of picking 2 i and 1 f when three letters picked without replacement from {i: 1, f: 1, e: 2}?
Interpretation: 0
Query: Three letters picked without replacement from bbgbgbgb. What is prob of picking 3 g?
Interpretation: 1/56
Query: Calculate ... | english |
probability: swr p level set
----------------------------
Exercise: Three letters picked without replacement from dddduuuuddd. What is prob of picking 3 d?
Yields: 7/33
Exercise: Three letters picked without replacement from {j: 7, w: 2}. Give prob of picking 3 j.
Yields: 5/12
Exercise: Two letters picked without repla... | english |
numbers: place value
--------------------
Math Problem: What is the hundreds digit of 304?
Explanation: 3
Math Problem: What is the tens digit of 657?
Explanation: 5
Math Problem: What is the thousands digit of 42419?
Explanation: 2
Math Problem: What is the units digit of 7?
Explanation: 7
Math Problem: What is the te... | english |
probability: swr p sequence
---------------------------
Challenge: What is prob of sequence jb when two letters picked without replacement from {b: 2, j: 3, f: 3}?
Thus: 3/28
Challenge: What is prob of sequence atw when three letters picked without replacement from {w: 3, a: 6, u: 1, t: 2, r: 4}?
Thus: 3/280
Challenge:... | english |
numbers: div remainder
----------------------
Situation: Calculate the remainder when 1484 is divided by 537.
A.: 410
Situation: What is the remainder when 5342817 is divided by 1780843?
A.: 288
Situation: What is the remainder when 91953 is divided by 209?
A.: 202
Situation: Calculate the remainder when 337 is divided... | english |
measurement: time
-----------------
Prompt: How many minutes are there between 12:50 PM and 11:42 PM?
Sol: 652
Prompt: What is 697 minutes after 1:59 AM?
Sol: 1:36 PM
Prompt: How many minutes are there between 1:58 AM and 10:32 AM?
Sol: 514
Prompt: How many minutes are there between 4:01 PM and 5:01 PM?
Sol: 60
Prompt:... | english |
numbers: place value
--------------------
Ask: What is the ten millions digit of 190213255?
Gives: 9
Ask: What is the hundred thousands digit of 6377446?
Gives: 3
Ask: What is the ten thousands digit of 46516?
Gives: 4
Ask: What is the tens digit of 4162693?
Gives: 9
Ask: What is the ten thousands digit of 1531123?
Giv... | english |
numbers: place value
--------------------
Input: What is the units digit of 13298?
= : 8
Input: What is the hundred thousands digit of 210264859?
= : 2
Input: What is the thousands digit of 2309637674?
= : 7
Input: What is the ten millions digit of 1410838094?
= : 1
Input: What is the hundred thousands digit of 104494?... | english |
probability: swr p level set
----------------------------
Exercise: What is prob of picking 2 p when two letters picked without replacement from {n: 2, p: 4}?
Calculation: 2/5
Exercise: Two letters picked without replacement from cqcqqcc. Give prob of picking 2 c.
Calculation: 2/7
Exercise: What is prob of picking 1 w,... | english |
numbers: div remainder
----------------------
Ask: Calculate the remainder when 132 is divided by 20.
Solution: 12
Ask: What is the remainder when 40 is divided by 6?
Solution: 4
Ask: Calculate the remainder when 11583 is divided by 64.
Solution: 63
Ask: What is the remainder when 1105422 is divided by 276?
Solution: 4... | english |
numbers: place value
--------------------
Part A: What is the tens digit of 268444?
Reply: 4
Part A: What is the thousands digit of 2940859?
Reply: 0
Part A: What is the ten thousands digit of 97759?
Reply: 9
Part A: What is the hundreds digit of 2990343?
Reply: 3
Part A: What is the millions digit of 528905637?
Reply:... | english |
arithmetic: nearest integer root
--------------------------------
Math Q: What is 126866 to the power of 1/2, to the nearest integer?
Derivation: 356
Math Q: What is the seventh root of 9347 to the nearest integer?
Derivation: 4
Math Q: What is 56930 to the power of 1/9, to the nearest integer?
Derivation: 3
Math Q: Wh... | english |
numbers: place value
--------------------
Test item: What is the ten millions digit of 104023649?
Soln: 0
Test item: What is the billions digit of 1336349759?
Soln: 1
Test item: What is the hundreds digit of 551?
Soln: 5
Test item: What is the thousands digit of 4438004412?
Soln: 4
Test item: What is the hundreds digit... | english |
numbers: place value
--------------------
Given: What is the ten thousands digit of 8943882?
Interpretation: 4
Given: What is the thousands digit of 1090?
Interpretation: 1
Given: What is the hundred thousands digit of 152014?
Interpretation: 1
Given: What is the thousands digit of 4002?
Interpretation: 4
Given: What i... | english |
numbers: div remainder
----------------------
Problem: What is the remainder when 1558 is divided by 294?
Resolution: 88
Problem: Calculate the remainder when 38 is divided by 25.
Resolution: 13
Problem: What is the remainder when 1318 is divided by 79?
Resolution: 54
Problem: What is the remainder when 1002 is divided... | english |
probability: swr p level set
----------------------------
Situation: Four letters picked without replacement from rrrrmrskrrsrrrsmsskk. Give prob of picking 1 r and 3 k.
Interpretation: 2/969
Situation: What is prob of picking 3 h when three letters picked without replacement from qqhqhhqq?
Interpretation: 1/56
Situati... | english |
measurement: time
-----------------
Problem: How many minutes are there between 4:28 AM and 11:08 AM?
Compute: 400
Problem: How many minutes are there between 9:29 AM and 2:08 PM?
Compute: 279
Problem: How many minutes are there between 6:04 AM and 8:05 AM?
Compute: 121
Problem: What is 367 minutes before 12:33 PM?
Com... | english |
numbers: place value
--------------------
Situation: What is the units digit of 15536041?
Yields: 1
Situation: What is the ten thousands digit of 14283?
Yields: 1
Situation: What is the thousands digit of 1004681844?
Yields: 1
Situation: What is the units digit of 73717461?
Yields: 1
Situation: What is the hundreds dig... | english |
measurement: time
-----------------
Given: What is 616 minutes after 9:54 PM?
Response: 8:10 AM
Given: What is 77 minutes before 5:58 AM?
Response: 4:41 AM
Given: How many minutes are there between 4:39 PM and 11:38 PM?
Response: 419
Given: What is 707 minutes after 12:53 AM?
Response: 12:40 PM
Given: What is 443 minut... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the third root of 22104699 to the nearest integer?
Yields: 281
Example: What is 2220 to the power of 1/2, to the nearest integer?
Yields: 47
Example: What is the cube root of 106747 to the nearest integer?
Yields: 47
Example: What is 686... | english |
probability: swr p sequence
---------------------------
Math Problem: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnnn.
Fix: 1
Math Problem: Two letters picked without replacement from kkkazkkzalkpaazk. Give prob of sequence la.
Fix: 1/60
Math Problem: Two letters picked with... | english |
numbers: gcd
------------
Query: Calculate the highest common divisor of 115 and 368.
Resolution: 23
Query: Calculate the greatest common factor of 8876 and 112.
Resolution: 28
Query: What is the greatest common divisor of 435 and 232?
Resolution: 29
Query: What is the greatest common divisor of 24644 and 35249?
Resolu... | english |
measurement: conversion
-----------------------
Math Problem: How many kilometers are there in 977.7557 millimeters?
Eval: 0.0009777557
Math Problem: How many years are there in 15/4 of a century?
Eval: 375
Math Problem: What is eleven quarters of a milligram in micrograms?
Eval: 2750
Math Problem: What is 29/2 of a ho... | english |
measurement: time
-----------------
Exercise: How many minutes are there between 9:20 AM and 3:48 PM?
Explanation: 388
Exercise: How many minutes are there between 3:20 PM and 4:12 PM?
Explanation: 52
Exercise: How many minutes are there between 5:53 PM and 8:54 PM?
Explanation: 181
Exercise: What is 173 minutes before... | english |
numbers: lcm
------------
Problem Statement: Calculate the common denominator of 199/210 and -73/91023975.
Solution: 182047950
Problem Statement: What is the common denominator of 5/22 and 73/9798?
Solution: 107778
Problem Statement: Calculate the smallest common multiple of 354 and 2718.
Solution: 160362
Problem State... | english |
probability: swr p sequence
---------------------------
Step: Two letters picked without replacement from dooddxdkkxk. Give prob of sequence ox.
= : 2/55
Step: Calculate prob of sequence aik when three letters picked without replacement from {k: 1, o: 2, a: 11, p: 1, i: 2, n: 1}.
= : 11/2448
Step: Four letters picked w... | english |
numbers: place value
--------------------
Prompt: What is the hundreds digit of 531?
Therefore: 5
Prompt: What is the thousands digit of 9183?
Therefore: 9
Prompt: What is the tens digit of 228710809?
Therefore: 0
Prompt: What is the hundreds digit of 28348016?
Therefore: 0
Prompt: What is the hundreds digit of 791120?... | english |
probability: swr p level set
----------------------------
Q/A: Two letters picked without replacement from ugovaooavaucggg. What is prob of picking 1 g and 1 a?
→: 4/35
Q/A: What is prob of picking 3 u when three letters picked without replacement from {y: 2, u: 3}?
→: 1/10
Q/A: Two letters picked without replacement f... | english |
numbers: div remainder
----------------------
Query: Calculate the remainder when 188 is divided by 19.
Response: 17
Query: Calculate the remainder when 11267 is divided by 4.
Response: 3
Query: Calculate the remainder when 74 is divided by 10.
Response: 4
Query: Calculate the remainder when 366240 is divided by 726.
R... | english |
numbers: gcd
------------
Query: What is the highest common factor of 3840 and 33440?
Soln: 160
Query: Calculate the greatest common divisor of 260 and 172276.
Soln: 52
Query: What is the highest common factor of 105 and 21?
Soln: 21
Query: Calculate the greatest common divisor of 2401 and 61717705.
Soln: 2401
Query: C... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the fifth root of 915726610 to the nearest integer?
Output: 62
Exercise: What is the cube root of 2369919 to the nearest integer?
Output: 133
Exercise: What is the seventh root of 463958234 to the nearest integer?
Output: 17
Exercise: W... | english |
probability: swr p sequence
---------------------------
Ask: What is prob of sequence dddd when four letters picked without replacement from ddddddd?
Conclusion: 1
Ask: Four letters picked without replacement from {k: 17, s: 3}. Give prob of sequence sssk.
Conclusion: 1/1140
Ask: Two letters picked without replacement ... | english |
arithmetic: nearest integer root
--------------------------------
Scenario: What is the third root of 425622573 to the nearest integer?
Response: 752
Scenario: What is the fifth root of 20324984 to the nearest integer?
Response: 29
Scenario: What is the cube root of 136227815 to the nearest integer?
Response: 515
Scena... | english |
probability: swr p level set
----------------------------
Ask: Two letters picked without replacement from {x: 11, q: 4, o: 4}. Give prob of picking 2 q.
Key: 2/57
Ask: What is prob of picking 4 s when four letters picked without replacement from sszszszszsszzszzsssz?
Key: 22/323
Ask: Two letters picked without replace... | english |
probability: swr p level set
----------------------------
Q=: Three letters picked without replacement from cceeceeeccececeecce. What is prob of picking 3 e?
Finding: 40/323
Q=: What is prob of picking 1 k and 1 x when two letters picked without replacement from {k: 3, e: 1, x: 1}?
Finding: 3/10
Q=: Four letters picked... | english |
measurement: time
-----------------
Puzzle: What is 173 minutes after 11:30 AM?
Calculation: 2:23 PM
Puzzle: What is 428 minutes before 4:02 PM?
Calculation: 8:54 AM
Puzzle: What is 547 minutes after 2:50 AM?
Calculation: 11:57 AM
Puzzle: What is 217 minutes before 8:45 PM?
Calculation: 5:08 PM
Puzzle: What is 466 minu... | english |
probability: swr p level set
----------------------------
Q): Calculate prob of picking 1 i, 1 p, and 1 h when three letters picked without replacement from {p: 1, o: 1, h: 1, i: 1, e: 1}.
Interpretation: 1/10
Q): What is prob of picking 2 d when two letters picked without replacement from hfyhfdhaafydhw?
Interpretatio... | english |
numbers: place value
--------------------
Challenge: What is the hundred millions digit of 4605884385?
A: 6
Challenge: What is the units digit of 620823?
A: 3
Challenge: What is the thousands digit of 6756?
A: 6
Challenge: What is the millions digit of 1150107117?
A: 0
Challenge: What is the millions digit of 45353858?... | english |
numbers: is prime
-----------------
Let us solve: Is 5956781669 a prime number?
Eval: True
Let us solve: Is 4363481 composite?
Eval: True
Let us solve: Is 1128270707 a prime number?
Eval: False
Let us solve: Is 33325171 a composite number?
Eval: True
Let us solve: Is 240352763 a prime number?
Eval: False
Let us solve: ... | english |
numbers: place value
--------------------
Part A: What is the hundred millions digit of 3326525649?
Workthrough: 3
Part A: What is the thousands digit of 43383?
Workthrough: 3
Part A: What is the tens digit of 8511?
Workthrough: 1
Part A: What is the units digit of 687?
Workthrough: 7
Part A: What is the ten thousands ... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is 74542 to the power of 1/5, to the nearest integer?
Ans: 9
Part A: What is 150762 to the power of 1/3, to the nearest integer?
Ans: 53
Part A: What is 801330 to the power of 1/2, to the nearest integer?
Ans: 895
Part A: What is the square ... | english |
numbers: gcd
------------
Test item: What is the greatest common divisor of 382959345 and 285?
Answer: 285
Test item: Calculate the highest common divisor of 65280 and 4590.
Answer: 510
Test item: What is the highest common divisor of 513 and 152?
Answer: 19
Test item: What is the highest common factor of 75374 and 999... | english |
numbers: gcd
------------
Problem #: Calculate the highest common factor of 914 and 4.
= : 2
Problem #: Calculate the highest common factor of 13 and 65.
= : 13
Problem #: Calculate the greatest common factor of 108 and 30177540.
= : 36
Problem #: What is the greatest common divisor of 9585760 and 480?
= : 160
Problem ... | english |
probability: swr p level set
----------------------------
Let us solve: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, h: 1}.
Solution: 1/2
Let us solve: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from vut.
Solution: 1/3
Let us solve: Calcula... | english |
probability: swr p level set
----------------------------
Puzzle: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from zatjtli.
Compute: 2/21
Puzzle: Four letters picked without replacement from iimcmimiimiim. What is prob of picking 1 c and 3 m?
Compute: 2/143
Puzzle: Three letters pi... | english |
numbers: is prime
-----------------
What if: Is 11851 a composite number?
Reply: True
What if: Is 2842359141 a prime number?
Reply: False
What if: Is 532031 a prime number?
Reply: False
What if: Is 2604389 prime?
Reply: False
What if: Is 473397809 composite?
Reply: False
What if: Is 171602003 prime?
Reply: True
What if... | english |
probability: swr p level set
----------------------------
Example: Two letters picked without replacement from {y: 3, p: 2}. What is prob of picking 2 y?
Answer: 3/10
Example: Two letters picked without replacement from yvyiyyvviyyvii. What is prob of picking 2 i?
Answer: 6/91
Example: What is prob of picking 3 i when ... | english |
comparison: kth biggest
-----------------------
Problem Statement: Which is the fourth biggest value? (a) 0.048 (b) -0.09 (c) 4 (d) 3/11
Clarification: b
Problem Statement: Which is the second biggest value? (a) 6/25 (b) 0.4 (c) 1016 (d) 1/7 (e) -3
Clarification: b
Problem Statement: Which is the fourth bigges... | english |
measurement: time
-----------------
Task: What is 186 minutes before 10:56 PM?
Compute: 7:50 PM
Task: What is 691 minutes after 6:05 AM?
Compute: 5:36 PM
Task: How many minutes are there between 6:45 AM and 2:04 PM?
Compute: 439
Task: What is 453 minutes after 4:39 PM?
Compute: 12:12 AM
Task: What is 609 minutes after ... | english |
numbers: place value
--------------------
Part A: What is the units digit of 142934171?
Steps: 1
Part A: What is the ten thousands digit of 513597?
Steps: 1
Part A: What is the units digit of 35733?
Steps: 3
Part A: What is the ten thousands digit of 8865967?
Steps: 6
Part A: What is the units digit of 173?
Steps: 3
Pa... | english |
numbers: is prime
-----------------
Request: Is 43003 composite?
Result: False
Request: Is 163546121 composite?
Result: False
Request: Is 234163 a prime number?
Result: False
Request: Is 2711407 composite?
Result: True
Request: Is 4751 a composite number?
Result: False
Request: Is 6921210923 prime?
Result: False
Reques... | english |
measurement: time
-----------------
Given: How many minutes are there between 5:18 PM and 12:26 AM?
Thus: 428
Given: What is 371 minutes after 3:24 AM?
Thus: 9:35 AM
Given: What is 504 minutes before 10:06 PM?
Thus: 1:42 PM
Given: How many minutes are there between 3:58 PM and 2:34 AM?
Thus: 636
Given: What is 400 minu... | english |
probability: swr p sequence
---------------------------
Example: Three letters picked without replacement from xdidmyeyixmy. Give prob of sequence xiy.
Compute: 1/110
Example: Two letters picked without replacement from {c: 6, o: 7}. Give prob of sequence oo.
Compute: 7/26
Example: What is prob of sequence wvv when thr... | english |
numbers: place value
--------------------
Q.: What is the units digit of 13861344?
Response: 4
Q.: What is the ten millions digit of 1435561415?
Response: 3
Q.: What is the hundreds digit of 5391?
Response: 3
Q.: What is the millions digit of 4615714?
Response: 4
Q.: What is the units digit of 92554?
Response: 4
Q.: Wh... | english |
numbers: div remainder
----------------------
Case: Calculate the remainder when 103489705 is divided by 17248281.
Reply: 19
Case: What is the remainder when 1378 is divided by 685?
Reply: 8
Case: What is the remainder when 244 is divided by 56?
Reply: 20
Case: Calculate the remainder when 6637 is divided by 265.
Reply... | english |
numbers: place value
--------------------
Q: What is the hundreds digit of 373582?
Sol: 5
Q: What is the units digit of 1268?
Sol: 8
Q: What is the hundreds digit of 7474121?
Sol: 1
Q: What is the units digit of 286815812?
Sol: 2
Q: What is the hundred thousands digit of 3399797?
Sol: 3
Q: What is the hundreds digit of... | english |
probability: swr p sequence
---------------------------
Subject: Three letters picked without replacement from oozozo. Give prob of sequence zzo.
Eval: 1/15
Subject: Four letters picked without replacement from dniii. What is prob of sequence iiin?
Eval: 1/20
Subject: Four letters picked without replacement from izhgi.... | english |
probability: swr p sequence
---------------------------
Ask: Calculate prob of sequence ooo when three letters picked without replacement from ottootzococztttocc.
Final Answer: 5/204
Ask: Two letters picked without replacement from {u: 3, s: 2, a: 3, h: 10}. Give prob of sequence us.
Final Answer: 1/51
Ask: Calculate p... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 1 c and 2 i when three letters picked without replacement from {i: 2, r: 1, c: 1, j: 3}.
Output: 1/35
Task: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {g: 18, y: 2}.
Output: 18/95
Task: ... | english |
arithmetic: nearest integer root
--------------------------------
Q.: What is 232079 to the power of 1/3, to the nearest integer?
Derivation: 61
Q.: What is 376235 to the power of 1/4, to the nearest integer?
Derivation: 25
Q.: What is 2173 to the power of 1/5, to the nearest integer?
Derivation: 5
Q.: What is 43803162... | english |
probability: swr p sequence
---------------------------
Q): Calculate prob of sequence mfq when three letters picked without replacement from {m: 4, t: 2, q: 3, f: 8}.
→: 2/85
Q): Three letters picked without replacement from {g: 8, h: 4, c: 3, i: 1, a: 2, k: 2}. What is prob of sequence ahh?
→: 1/285
Q): What is prob ... | english |
probability: swr p level set
----------------------------
Problem Statement: Four letters picked without replacement from mlmsmomsamollmlm. Give prob of picking 1 o, 2 l, and 1 m.
A.: 3/65
Problem Statement: What is prob of picking 2 d when two letters picked without replacement from rddddddfyffryddd?
A.: 3/10
Problem ... | english |
probability: swr p sequence
---------------------------
Ask: Two letters picked without replacement from {s: 1, f: 1, k: 3, c: 3, g: 5}. Give prob of sequence kg.
Hence: 5/52
Ask: Calculate prob of sequence uuu when three letters picked without replacement from uuu.
Hence: 1
Ask: Calculate prob of sequence tp when two ... | english |
numbers: is prime
-----------------
Problem Statement: Is 2120933 a composite number?
Sol: False
Problem Statement: Is 238885 composite?
Sol: True
Problem Statement: Is 596653 a prime number?
Sol: True
Problem Statement: Is 175711676983 a prime number?
Sol: False
Problem Statement: Is 8402 prime?
Sol: False
Problem Sta... | english |
measurement: conversion
-----------------------
Problem Statement: Convert 5.14803 decades to millennia.
→: 0.0514803
Problem Statement: Convert 0.9272623 hours to minutes.
→: 55.635738
Problem Statement: How many kilograms are there in eleven quarters of a tonne?
→: 2750
Problem Statement: What is 9/10 of a tonne in k... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is 11963 to the power of 1/10, to the nearest integer?
A.: 3
Example: What is the cube root of 89398035 to the nearest integer?
A.: 447
Example: What is the cube root of 2357639 to the nearest integer?
A.: 133
Example: What is 745299353 to ... | english |
numbers: is prime
-----------------
Example: Is 3906059 a prime number?
Outcome: True
Example: Is 1204388909 a prime number?
Outcome: True
Example: Is 134423353 a prime number?
Outcome: True
Example: Is 7114771321 prime?
Outcome: False
Example: Is 13354733 a prime number?
Outcome: False
Example: Is 154046 composite?
Ou... | english |
probability: swr p sequence
---------------------------
Inquiry: Four letters picked without replacement from sczccscszzccs. Give prob of sequence sszz.
Final Answer: 3/715
Inquiry: Four letters picked without replacement from {u: 2, e: 1, j: 4, k: 4, g: 9}. Give prob of sequence kuej.
Final Answer: 4/14535
Inquiry: Ca... | english |
numbers: gcd
------------
Part A: What is the greatest common factor of 600 and 195800?
Solution: 200
Part A: What is the greatest common factor of 3243 and 207?
Solution: 69
Part A: What is the highest common divisor of 2 and 11?
Solution: 1
Part A: What is the greatest common factor of 1391 and 1335039?
Solution: 107... | english |
probability: swr p sequence
---------------------------
Subject: Three letters picked without replacement from {n: 6, v: 1, r: 1, q: 2, c: 3}. What is prob of sequence crn?
Interpretation: 3/286
Subject: Calculate prob of sequence zo when two letters picked without replacement from {o: 5, z: 7}.
Interpretation: 35/132
... | english |
numbers: is factor
------------------
Topic: Does 32 divide 1109118?
Response: False
Topic: Does 71 divide 615144?
Response: True
Topic: Is 147 a factor of 12789?
Response: True
Topic: Does 10 divide 334931?
Response: False
Topic: Is 136 a multiple of 8?
Response: True
Topic: Does 452 divide 5527056?
Response: True
Top... | english |
probability: swr p sequence
---------------------------
Inquiry: Four letters picked without replacement from {k: 16, o: 2}. Give prob of sequence koko.
A: 1/153
Inquiry: Calculate prob of sequence nid when three letters picked without replacement from {i: 3, d: 2, n: 4}.
A: 1/21
Inquiry: What is prob of sequence ehe w... | english |
probability: swr p sequence
---------------------------
Task: What is prob of sequence psps when four letters picked without replacement from ssspssppspppppppppp?
Result: 65/1292
Task: What is prob of sequence fff when three letters picked without replacement from fccfcfcc?
Result: 1/56
Task: Three letters picked witho... | english |
probability: swr p level set
----------------------------
Qn: Two letters picked without replacement from hhtvhyddvhd. Give prob of picking 1 d and 1 y.
A: 3/55
Qn: What is prob of picking 2 p when two letters picked without replacement from avgevapaevepav?
A: 1/91
Qn: Two letters picked without replacement from {v: 1,... | english |
probability: swr p level set
----------------------------
Ask: What is prob of picking 2 y and 1 s when three letters picked without replacement from ysnhcywn?
Answer: 1/56
Ask: Three letters picked without replacement from {r: 3, e: 7, n: 2}. What is prob of picking 2 n and 1 r?
Answer: 3/220
Ask: Calculate prob of pi... | english |
numbers: place value
--------------------
Math Problem: What is the tens digit of 776730?
Response: 3
Math Problem: What is the hundred thousands digit of 1559631209?
Response: 6
Math Problem: What is the millions digit of 53422668?
Response: 3
Math Problem: What is the thousands digit of 16283687?
Response: 3
Math Pro... | english |
numbers: place value
--------------------
Ask: What is the thousands digit of 2949?
Solution: 2
Ask: What is the ten thousands digit of 295406?
Solution: 9
Ask: What is the tens digit of 844538?
Solution: 3
Ask: What is the units digit of 144612048?
Solution: 8
Ask: What is the tens digit of 599?
Solution: 9
Ask: What ... | english |
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