text stringlengths 256 2k | language stringclasses 2
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probability: swr p sequence
---------------------------
Q=: Two letters picked without replacement from {w: 1, b: 2, e: 3, q: 1, y: 3, f: 1}. Give prob of sequence yq.
Calculation: 3/110
Q=: Two letters picked without replacement from kkobqkkqqrbbbr. What is prob of sequence kk?
Calculation: 6/91
Q=: Two letters picked... | english |
numbers: place value
--------------------
Q): What is the thousands digit of 7892?
Result: 7
Q): What is the thousands digit of 33780?
Result: 3
Q): What is the thousands digit of 4344252?
Result: 4
Q): What is the units digit of 37384958?
Result: 8
Q): What is the tens digit of 3282?
Result: 8
Q): What is the hundreds... | english |
numbers: place value
--------------------
Example: What is the units digit of 1282138904?
A.: 4
Example: What is the units digit of 1592018?
A.: 8
Example: What is the units digit of 2314?
A.: 4
Example: What is the hundred thousands digit of 642361?
A.: 6
Example: What is the tens digit of 1228?
A.: 2
Example: What is... | english |
numbers: is prime
-----------------
Conundrum: Is 77839 composite?
Fix: False
Conundrum: Is 168545723 prime?
Fix: True
Conundrum: Is 341261 prime?
Fix: False
Conundrum: Is 166471 a composite number?
Fix: False
Conundrum: Is 1135463 prime?
Fix: False
Conundrum: Is 12447804833 composite?
Fix: True
Conundrum: Is 10546297 ... | english |
probability: swr p level set
----------------------------
Scenario: What is prob of picking 2 v when two letters picked without replacement from vvxv?
Yields: 1/2
Scenario: Four letters picked without replacement from {g: 8, v: 8, h: 1}. Give prob of picking 2 g and 2 v.
Yields: 28/85
Scenario: Four letters picked with... | english |
measurement: conversion
-----------------------
Scenario: What is eleven quarters of a microgram in nanograms?
Solution: 2750
Scenario: How many months are there in eleven eighths of a millennium?
Solution: 16500
Scenario: How many millilitres are there in 0.9711342 litres?
Solution: 971.1342
Scenario: What is seven ha... | english |
probability: swr p level set
----------------------------
Step: What is prob of picking 1 o and 1 x when two letters picked without replacement from xxxxooooxoxox?
Result: 7/13
Step: Four letters picked without replacement from pbopbbppbzobpzkp. What is prob of picking 2 b, 1 k, and 1 z?
Result: 1/91
Step: Calculate pr... | english |
numbers: div remainder
----------------------
Conundrum: What is the remainder when 76301 is divided by 431?
Eval: 14
Conundrum: What is the remainder when 19206 is divided by 136?
Eval: 30
Conundrum: What is the remainder when 11350 is divided by 264?
Eval: 262
Conundrum: What is the remainder when 1711 is divided by ... | english |
numbers: div remainder
----------------------
Task: What is the remainder when 2396 is divided by 109?
Answer: 107
Task: Calculate the remainder when 63716 is divided by 90.
Answer: 86
Task: What is the remainder when 271526 is divided by 90501?
Answer: 23
Task: What is the remainder when 1022 is divided by 264?
Answer... | english |
numbers: div remainder
----------------------
Let: What is the remainder when 23835 is divided by 195?
Compute: 45
Let: Calculate the remainder when 2679 is divided by 40.
Compute: 39
Let: Calculate the remainder when 4053 is divided by 169.
Compute: 166
Let: Calculate the remainder when 1302385 is divided by 10013.
Co... | english |
probability: swr p level set
----------------------------
Request: Calculate prob of picking 4 s when four letters picked without replacement from sgsssssssssssgsgssss.
Outcome: 28/57
Request: What is prob of picking 2 t and 1 v when three letters picked without replacement from vtvttvvvvvvtvtvvvtt?
Outcome: 84/323
Req... | english |
numbers: div remainder
----------------------
Inquiry: Calculate the remainder when 279901 is divided by 428.
Finding: 417
Inquiry: What is the remainder when 110716 is divided by 1538?
Finding: 1518
Inquiry: Calculate the remainder when 24273 is divided by 25.
Finding: 23
Inquiry: What is the remainder when 185 is div... | english |
numbers: div remainder
----------------------
Situation: What is the remainder when 239146 is divided by 292?
Sol: 290
Situation: What is the remainder when 912 is divided by 55?
Sol: 32
Situation: Calculate the remainder when 6353029 is divided by 28.
Sol: 25
Situation: Calculate the remainder when 127 is divided by 1... | english |
probability: swr p level set
----------------------------
Ask: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {f: 1, d: 1, o: 2, r: 3, m: 1, u: 4}.
Compute: 2/33
Ask: What is prob of picking 1 u and 1 v when two letters picked without replacement from pysyvui?
Compute: 1/21
Ask: ... | english |
numbers: place value
--------------------
Statement: What is the units digit of 22369?
Resolution: 9
Statement: What is the tens digit of 287207?
Resolution: 0
Statement: What is the tens digit of 2798391032?
Resolution: 3
Statement: What is the millions digit of 6449027?
Resolution: 6
Statement: What is the tens digit... | english |
numbers: lcm
------------
Exercise: What is the smallest common multiple of 468 and 702?
Workthrough: 1404
Exercise: What is the common denominator of -25/238 and -149/12?
Workthrough: 1428
Exercise: What is the least common multiple of 52442 and 31691104?
Workthrough: 411984352
Exercise: What is the lowest common mult... | english |
measurement: time
-----------------
Given: How many minutes are there between 6:08 AM and 5:50 PM?
Steps: 702
Given: What is 596 minutes before 4:18 AM?
Steps: 6:22 PM
Given: How many minutes are there between 3:35 AM and 4:17 AM?
Steps: 42
Given: What is 286 minutes before 1:39 PM?
Steps: 8:53 AM
Given: What is 130 mi... | english |
measurement: time
-----------------
Statement: What is 12 minutes after 3:47 AM?
Eval: 3:59 AM
Statement: What is 430 minutes before 10:54 PM?
Eval: 3:44 PM
Statement: How many minutes are there between 2:47 PM and 2:57 PM?
Eval: 10
Statement: What is 589 minutes before 10:30 AM?
Eval: 12:41 AM
Statement: How many minu... | english |
probability: swr p level set
----------------------------
Q-: What is prob of picking 1 c and 1 d when two letters picked without replacement from cfdcdfjedyfd?
A.: 4/33
Q-: What is prob of picking 3 o when three letters picked without replacement from {w: 2, o: 4}?
A.: 1/5
Q-: Two letters picked without replacement fr... | english |
probability: swr p sequence
---------------------------
Step: Calculate prob of sequence giff when four letters picked without replacement from {g: 1, i: 2, e: 2, u: 1, f: 2, s: 1}.
Soln: 1/756
Step: What is prob of sequence yyju when four letters picked without replacement from joyyjyoujujujyyyjuo?
Soln: 5/646
Step: C... | english |
measurement: conversion
-----------------------
Challenge: How many seconds are there in 5562.961 days?
A: 480639830.4
Challenge: How many months are there in 242.432 millennia?
A: 2909184
Challenge: How many kilometers are there in 6.53519um?
A: 0.00000000653519
Challenge: Convert 791031.6ml to litres.
A: 791.0316
Cha... | english |
numbers: is prime
-----------------
Example: Is 153817 prime?
Gives: True
Example: Is 26324237869 composite?
Gives: False
Example: Is 3073660747 a prime number?
Gives: False
Example: Is 85273582 prime?
Gives: False
Example: Is 6521 composite?
Gives: False
Example: Is 2402034143 a prime number?
Gives: True
Example: Is 1... | english |
numbers: place value
--------------------
Case: What is the tens digit of 13552594?
Answer: 9
Case: What is the hundreds digit of 113435814?
Answer: 8
Case: What is the thousands digit of 456198?
Answer: 6
Case: What is the thousands digit of 24272?
Answer: 4
Case: What is the thousands digit of 4670235?
Answer: 0
Case... | english |
numbers: div remainder
----------------------
Input: What is the remainder when 20084 is divided by 102?
Answer: 92
Input: What is the remainder when 43682 is divided by 2722?
Answer: 130
Input: Calculate the remainder when 12833 is divided by 1283.
Answer: 3
Input: Calculate the remainder when 4419 is divided by 34.
A... | english |
numbers: div remainder
----------------------
Problem: Calculate the remainder when 304 is divided by 80.
Calculation: 64
Problem: Calculate the remainder when 740 is divided by 56.
Calculation: 12
Problem: Calculate the remainder when 624068 is divided by 265.
Calculation: 258
Problem: What is the remainder when 49292... | english |
numbers: place value
--------------------
Q/A: What is the units digit of 1630?
Math A: 0
Q/A: What is the units digit of 1692882246?
Math A: 6
Q/A: What is the tens digit of 26768?
Math A: 6
Q/A: What is the tens digit of 2897129?
Math A: 2
Q/A: What is the tens digit of 6074?
Math A: 7
Q/A: What is the thousands digi... | english |
probability: swr p level set
----------------------------
Prompt: Two letters picked without replacement from kkkvkkvkkh. Give prob of picking 1 k and 1 v.
Sol: 14/45
Prompt: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {o: 6, y: 6}.
Sol: 6/11
Prompt: Two letters picked without... | english |
numbers: is factor
------------------
Math Problem: Does 14 divide 625744?
Finding: True
Math Problem: Is 43 a factor of 559?
Finding: True
Math Problem: Is 1060 a multiple of 10?
Finding: True
Math Problem: Is 1403136 a multiple of 112?
Finding: True
Math Problem: Does 79 divide 415?
Finding: False
Math Problem: Does ... | english |
probability: swr p level set
----------------------------
Q: What is prob of picking 1 q and 3 m when four letters picked without replacement from mmqq?
→: 0
Q: What is prob of picking 1 t and 1 f when two letters picked without replacement from ftf?
→: 2/3
Q: Three letters picked without replacement from cicbcnxcn. Wh... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the third root of 1261 to the nearest integer?
Derivation: 11
Exercise: What is the ninth root of 84512087 to the nearest integer?
Derivation: 8
Exercise: What is 671340921 to the power of 1/2, to the nearest integer?
Derivation: 25910
... | english |
numbers: div remainder
----------------------
Q-: Calculate the remainder when 42717 is divided by 562.
Workthrough: 5
Q-: Calculate the remainder when 1792 is divided by 1792.
Workthrough: 0
Q-: What is the remainder when 72 is divided by 37?
Workthrough: 35
Q-: What is the remainder when 824440 is divided by 10706?
W... | english |
numbers: is factor
------------------
Problem #: Is 44 a factor of 216700?
Explanation: True
Problem #: Is 35748 a multiple of 27?
Explanation: True
Problem #: Is 51 a factor of 5355?
Explanation: True
Problem #: Is 7034780 a multiple of 205?
Explanation: True
Problem #: Does 45 divide 24041916?
Explanation: False
Prob... | english |
numbers: gcd
------------
Query: What is the highest common divisor of 65 and 54620163?
Sol: 13
Query: Calculate the highest common divisor of 4448 and 133579000.
Sol: 1112
Query: Calculate the highest common factor of 54 and 54.
Sol: 54
Query: Calculate the greatest common divisor of 461 and 8913435.
Sol: 461
Query: C... | english |
numbers: place value
--------------------
Math Problem: What is the hundreds digit of 155134768?
Outcome: 7
Math Problem: What is the ten thousands digit of 44102294?
Outcome: 0
Math Problem: What is the hundred millions digit of 269369298?
Outcome: 2
Math Problem: What is the units digit of 9710?
Outcome: 0
Math Probl... | english |
numbers: lcm
------------
Scenario: What is the common denominator of 29/3022 and -23/6?
Final Answer: 9066
Scenario: What is the common denominator of 1/15544 and 37/538588?
Final Answer: 72170792
Scenario: Find the common denominator of -67/1023 and -1/253.
Final Answer: 23529
Scenario: Find the common denominator of... | english |
probability: swr p level set
----------------------------
Q.: Two letters picked without replacement from {x: 1, q: 4, l: 2, s: 3, h: 4}. What is prob of picking 2 s?
Yields: 3/91
Q.: Three letters picked without replacement from {x: 1, j: 3, e: 3, z: 2, n: 3, r: 2}. What is prob of picking 1 z and 2 n?
Yields: 3/182
Q... | english |
numbers: place value
--------------------
Part A: What is the units digit of 7559?
Answer: 9
Part A: What is the hundred thousands digit of 569024872?
Answer: 0
Part A: What is the units digit of 26454?
Answer: 4
Part A: What is the tens digit of 3094725?
Answer: 2
Part A: What is the tens digit of 38664702?
Answer: 0
... | english |
measurement: conversion
-----------------------
Scenario: How many micrometers are there in 21/4 of a centimeter?
Eval: 52500
Scenario: How many kilograms are there in three tenths of a tonne?
Eval: 300
Scenario: What is 19/4 of a minute in seconds?
Eval: 285
Scenario: What is 10.54899 tonnes in grams?
Eval: 10548990
S... | english |
probability: swr p sequence
---------------------------
Question: Two letters picked without replacement from rcrcccmmccmm. What is prob of sequence rr?
Calculation: 1/66
Question: Two letters picked without replacement from jjjjjjyjjjjjy. Give prob of sequence jj.
Calculation: 55/78
Question: Two letters picked withou... | english |
numbers: place value
--------------------
Challenge: What is the thousands digit of 1471?
Fix: 1
Challenge: What is the millions digit of 5264715811?
Fix: 4
Challenge: What is the tens digit of 1272?
Fix: 7
Challenge: What is the hundreds digit of 17501?
Fix: 5
Challenge: What is the thousands digit of 1463?
Fix: 1
Cha... | english |
probability: swr p sequence
---------------------------
Example: Calculate prob of sequence qq when two letters picked without replacement from qlbq.
Response: 1/6
Example: Four letters picked without replacement from rrzrzrzrzzrr. What is prob of sequence zrrr?
Response: 35/396
Example: Four letters picked without rep... | english |
probability: swr p level set
----------------------------
Question: Four letters picked without replacement from {f: 2, e: 11}. What is prob of picking 4 e?
Hence: 6/13
Question: Three letters picked without replacement from rrirri. What is prob of picking 3 r?
Hence: 1/5
Question: Three letters picked without replacem... | english |
numbers: is factor
------------------
Conundrum: Is 19 a factor of 57983?
Ans: False
Conundrum: Is 3648 a multiple of 6?
Ans: True
Conundrum: Does 33 divide 2170?
Ans: False
Conundrum: Does 7 divide 519776?
Ans: False
Conundrum: Does 38 divide 159?
Ans: False
Conundrum: Is 38 a factor of 473?
Ans: False
Conundrum: Does... | english |
numbers: place value
--------------------
Q=: What is the ten thousands digit of 2886027?
Thus: 8
Q=: What is the hundred thousands digit of 1356632840?
Thus: 6
Q=: What is the tens digit of 22197?
Thus: 9
Q=: What is the thousands digit of 948081?
Thus: 8
Q=: What is the units digit of 99764?
Thus: 4
Q=: What is the t... | english |
numbers: div remainder
----------------------
Task: What is the remainder when 2593298 is divided by 201?
Answer: 197
Task: What is the remainder when 200 is divided by 95?
Answer: 10
Task: Calculate the remainder when 1111983 is divided by 938.
Answer: 453
Task: What is the remainder when 182 is divided by 163?
Answer... | english |
numbers: lcm
------------
Puzzle: Find the common denominator of -113/90340 and 99/9034.
Calculation: 90340
Puzzle: What is the smallest common multiple of 12168 and 104?
Calculation: 12168
Puzzle: What is the least common multiple of 174220 and 77810?
Calculation: 43729220
Puzzle: What is the lowest common multiple of... | english |
numbers: is factor
------------------
Problem: Is 90 a factor of 4140?
Yields: True
Problem: Does 85 divide 4335?
Yields: True
Problem: Does 15 divide 95475?
Yields: True
Problem: Is 96 a factor of 61399?
Yields: False
Problem: Is 91880 a multiple of 8?
Yields: True
Problem: Is 15 a factor of 63054?
Yields: False
Probl... | english |
probability: swr p sequence
---------------------------
Question: Calculate prob of sequence rrn when three letters picked without replacement from jsjsnssjrsjssnjssr.
Calculation: 1/1224
Question: What is prob of sequence mmx when three letters picked without replacement from mmmmmmmmmxxmxmm?
Calculation: 66/455
Quest... | english |
numbers: gcd
------------
Let us solve: Calculate the highest common factor of 76 and 1102.
Answer: 38
Let us solve: What is the highest common factor of 34 and 1377?
Answer: 17
Let us solve: What is the highest common factor of 894 and 48?
Answer: 6
Let us solve: Calculate the greatest common factor of 1539 and 567.
A... | english |
numbers: place value
--------------------
Ask: What is the ten millions digit of 125306832?
Solution: 2
Ask: What is the thousands digit of 752067?
Solution: 2
Ask: What is the hundreds digit of 17794?
Solution: 7
Ask: What is the tens digit of 122389?
Solution: 8
Ask: What is the thousands digit of 106664?
Solution: 6... | english |
numbers: is prime
-----------------
Prompt: Is 33173247 a prime number?
Gives: False
Prompt: Is 49703317 a prime number?
Gives: True
Prompt: Is 365903 a prime number?
Gives: True
Prompt: Is 881959 prime?
Gives: False
Prompt: Is 48418529 prime?
Gives: True
Prompt: Is 223145297 composite?
Gives: False
Prompt: Is 5989393 ... | english |
numbers: is prime
-----------------
Problem: Is 84749 prime?
Derivation: False
Problem: Is 50515 composite?
Derivation: True
Problem: Is 253064657 a prime number?
Derivation: True
Problem: Is 661227145 a composite number?
Derivation: True
Problem: Is 17239559 composite?
Derivation: False
Problem: Is 59507 prime?
Deriva... | english |
arithmetic: nearest integer root
--------------------------------
Prompt: What is the sixth root of 3085127 to the nearest integer?
Soln: 12
Prompt: What is 1656075049 to the power of 1/2, to the nearest integer?
Soln: 40695
Prompt: What is the sixth root of 344435591 to the nearest integer?
Soln: 26
Prompt: What is th... | english |
probability: swr p sequence
---------------------------
Problem: Three letters picked without replacement from kikowffkwfk. Give prob of sequence fwk.
Result: 4/165
Problem: Four letters picked without replacement from gwyg. Give prob of sequence wwyw.
Result: 0
Problem: Calculate prob of sequence trf when three letter... | english |
numbers: gcd
------------
Subject: Calculate the highest common factor of 1500 and 118200.
Therefore: 300
Subject: What is the highest common divisor of 705 and 9004410?
Therefore: 15
Subject: What is the highest common factor of 1340 and 5580?
Therefore: 20
Subject: What is the greatest common factor of 416 and 64?
Th... | english |
numbers: is factor
------------------
Ask: Does 223 divide 2068206?
Calculation: False
Ask: Is 5653824 a multiple of 19?
Calculation: False
Ask: Is 991 a factor of 209101?
Calculation: True
Ask: Is 66725 a multiple of 157?
Calculation: True
Ask: Does 172 divide 43516?
Calculation: True
Ask: Does 328 divide 26372?
Calcu... | english |
numbers: is factor
------------------
Example: Is 34429618 a multiple of 12?
Compute: False
Example: Does 45 divide 88173645?
Compute: False
Example: Does 11 divide 115?
Compute: False
Example: Is 109 a factor of 57152664?
Compute: False
Example: Is 213 a factor of 12253?
Compute: False
Example: Is 1712 a multiple of 1... | english |
numbers: is prime
-----------------
Subquestion: Is 12205829 a composite number?
Sol: False
Subquestion: Is 148549 prime?
Sol: True
Subquestion: Is 8562353 a prime number?
Sol: True
Subquestion: Is 3372077851 a prime number?
Sol: True
Subquestion: Is 431513 a composite number?
Sol: False
Subquestion: Is 34639396141 a p... | english |
numbers: place value
--------------------
Given: What is the tens digit of 35075?
Yields: 7
Given: What is the tens digit of 3466115?
Yields: 1
Given: What is the thousands digit of 4201822?
Yields: 1
Given: What is the hundred thousands digit of 597722?
Yields: 5
Given: What is the millions digit of 95288547?
Yields: ... | english |
numbers: is prime
-----------------
Ask: Is 100805 a composite number?
Response: True
Ask: Is 12373 a prime number?
Response: True
Ask: Is 16127 a prime number?
Response: True
Ask: Is 5512837223 a composite number?
Response: True
Ask: Is 620029 prime?
Response: True
Ask: Is 28890321227 a composite number?
Response: Fal... | english |
arithmetic: nearest integer root
--------------------------------
Test item: What is the seventh root of 57667 to the nearest integer?
Finding: 5
Test item: What is the cube root of 5771657 to the nearest integer?
Finding: 179
Test item: What is the third root of 61182013 to the nearest integer?
Finding: 394
Test item:... | english |
probability: swr p sequence
---------------------------
Statement: Four letters picked without replacement from {w: 2, x: 3, j: 3}. What is prob of sequence jwxj?
Math A: 3/140
Statement: Four letters picked without replacement from {j: 2, h: 3, f: 3, k: 9}. What is prob of sequence hkjh?
Math A: 9/4760
Statement: Calc... | english |
probability: swr p sequence
---------------------------
Scenario: Two letters picked without replacement from apy. Give prob of sequence py.
Ans: 1/6
Scenario: Two letters picked without replacement from {k: 1, x: 1, w: 2, r: 1, t: 1, b: 1}. What is prob of sequence tk?
Ans: 1/42
Scenario: Three letters picked without ... | english |
numbers: div remainder
----------------------
Ask: Calculate the remainder when 162724 is divided by 2921.
Result: 2069
Ask: Calculate the remainder when 427 is divided by 250.
Result: 177
Ask: What is the remainder when 325 is divided by 49?
Result: 31
Ask: Calculate the remainder when 110018 is divided by 317.
Result... | english |
numbers: gcd
------------
Inquiry: What is the highest common divisor of 88 and 152?
Explanation: 8
Inquiry: What is the greatest common factor of 976 and 84668?
Explanation: 244
Inquiry: What is the highest common factor of 36380 and 4483580?
Explanation: 340
Inquiry: What is the highest common divisor of 38 and 85662... | english |
numbers: is prime
-----------------
Example: Is 4075787 a prime number?
Derivation: False
Example: Is 57438866227 a composite number?
Derivation: False
Example: Is 17236367 a composite number?
Derivation: True
Example: Is 29935754867 composite?
Derivation: False
Example: Is 810653 a composite number?
Derivation: False
... | english |
numbers: is prime
-----------------
Test item: Is 5707 a composite number?
Solution: True
Test item: Is 11549 prime?
Solution: True
Test item: Is 35423067 a composite number?
Solution: True
Test item: Is 541815727 a prime number?
Solution: True
Test item: Is 13607 a composite number?
Solution: True
Test item: Is 200463... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is the third root of 33020351 to the nearest integer?
Resolution: 321
Part A: What is the third root of 11033 to the nearest integer?
Resolution: 22
Part A: What is 1413423626 to the power of 1/8, to the nearest integer?
Resolution: 14
Part ... | english |
numbers: gcd
------------
Math Problem: What is the greatest common divisor of 10262982 and 1290?
Key: 258
Math Problem: What is the greatest common divisor of 408 and 72828?
Key: 204
Math Problem: Calculate the highest common factor of 4 and 28.
Key: 4
Math Problem: Calculate the greatest common factor of 100 and 5978... | english |
numbers: is factor
------------------
Puzzle: Is 201076544 a multiple of 1207?
Response: True
Puzzle: Is 301987 a multiple of 46?
Response: False
Puzzle: Does 771 divide 491465092?
Response: False
Puzzle: Is 52 a factor of 4751421?
Response: False
Puzzle: Is 30 a factor of 44634?
Response: False
Puzzle: Is 16 a factor ... | english |
numbers: place value
--------------------
Query: What is the units digit of 717584?
→: 4
Query: What is the ten thousands digit of 975905?
→: 7
Query: What is the thousands digit of 9269489?
→: 9
Query: What is the thousands digit of 6658157?
→: 8
Query: What is the ten thousands digit of 7075178?
→: 7
Query: What is t... | english |
arithmetic: nearest integer root
--------------------------------
Problem Statement: What is 6069999 to the power of 1/2, to the nearest integer?
Eval: 2464
Problem Statement: What is the third root of 70102354 to the nearest integer?
Eval: 412
Problem Statement: What is the eighth root of 16527 to the nearest integer?... | english |
numbers: is factor
------------------
Given: Does 292 divide 31438180?
Explanation: True
Given: Is 17 a factor of 22605?
Explanation: False
Given: Is 32 a factor of 17028?
Explanation: False
Given: Is 323 a factor of 444244?
Explanation: False
Given: Does 22 divide 128814?
Explanation: False
Given: Is 33766737 a multip... | english |
numbers: is prime
-----------------
Let: Is 2532637 a prime number?
Solution: True
Let: Is 586139 a prime number?
Solution: True
Let: Is 23256207983 a prime number?
Solution: True
Let: Is 31849742011 a composite number?
Solution: False
Let: Is 2903161 prime?
Solution: False
Let: Is 12868242143 prime?
Solution: True
Let... | english |
probability: swr p level set
----------------------------
Prompt: What is prob of picking 2 k when two letters picked without replacement from kkmmmmww?
Soln: 1/28
Prompt: Calculate prob of picking 4 f when four letters picked without replacement from {z: 7, f: 6}.
Soln: 3/143
Prompt: Three letters picked without repla... | english |
probability: swr p level set
----------------------------
Input: What is prob of picking 3 v and 1 j when four letters picked without replacement from {v: 10, j: 9}?
Therefore: 90/323
Input: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from ffszffssswazfffss.
Therefore: 21/680
Inp... | english |
probability: swr p level set
----------------------------
Subquestion: Three letters picked without replacement from {y: 1, v: 3, w: 1, x: 1, k: 1}. What is prob of picking 1 k, 1 y, and 1 w?
Steps: 1/35
Subquestion: Three letters picked without replacement from xggxxxxexegwxxgg. What is prob of picking 1 g, 1 e, and 1... | english |
numbers: is factor
------------------
Given: Does 866 divide 1149602010?
Resolution: True
Given: Is 6 a factor of 1241118?
Resolution: True
Given: Does 78 divide 892?
Resolution: False
Given: Does 46 divide 372?
Resolution: False
Given: Is 30109164 a multiple of 4?
Resolution: True
Given: Is 1944272463 a multiple of 12... | english |
numbers: is factor
------------------
Example: Does 28 divide 46234?
Therefore: False
Example: Does 57 divide 39696738?
Therefore: True
Example: Is 45210096 a multiple of 253?
Therefore: False
Example: Is 19058890 a multiple of 111?
Therefore: False
Example: Is 10015577 a multiple of 194?
Therefore: False
Example: Is 7... | english |
numbers: div remainder
----------------------
Subject: Calculate the remainder when 76581 is divided by 19.
Workthrough: 11
Subject: What is the remainder when 110 is divided by 39?
Workthrough: 32
Subject: Calculate the remainder when 249 is divided by 69.
Workthrough: 42
Subject: Calculate the remainder when 379569 i... | english |
numbers: place value
--------------------
Let: What is the thousands digit of 9610?
A: 9
Let: What is the millions digit of 262088761?
A: 2
Let: What is the thousands digit of 43906185?
A: 6
Let: What is the millions digit of 57912653?
A: 7
Let: What is the tens digit of 34853?
A: 5
Let: What is the millions digit of 2... | english |
probability: swr p sequence
---------------------------
Given: Four letters picked without replacement from {s: 9, j: 10}. What is prob of sequence sjss?
Fix: 35/646
Given: Calculate prob of sequence ll when two letters picked without replacement from juvluuvjivlvujbvlvu.
Fix: 1/57
Given: Three letters picked without r... | english |
numbers: place value
--------------------
Given: What is the units digit of 9646?
Yields: 6
Given: What is the tens digit of 16115?
Yields: 1
Given: What is the tens digit of 2352?
Yields: 5
Given: What is the millions digit of 357105134?
Yields: 7
Given: What is the thousands digit of 76277?
Yields: 6
Given: What is t... | english |
numbers: place value
--------------------
Problem: What is the units digit of 8162674?
Explanation: 4
Problem: What is the ten thousands digit of 239985?
Explanation: 3
Problem: What is the ten millions digit of 298014878?
Explanation: 9
Problem: What is the tens digit of 9854?
Explanation: 5
Problem: What is the hundr... | english |
numbers: is prime
-----------------
Problem: Is 1230329 prime?
Fix: True
Problem: Is 1469509 a prime number?
Fix: True
Problem: Is 88427220989 a composite number?
Fix: False
Problem: Is 2696047 a prime number?
Fix: False
Problem: Is 30777323 prime?
Fix: False
Problem: Is 191393509 prime?
Fix: False
Problem: Is 12050951... | english |
numbers: gcd
------------
Ask: What is the highest common divisor of 17658 and 162?
Sol: 162
Ask: Calculate the highest common factor of 357 and 14943.
Sol: 51
Ask: Calculate the highest common divisor of 23474 and 104954.
Sol: 194
Ask: Calculate the highest common factor of 22425 and 255622.
Sol: 23
Ask: Calculate the... | english |
numbers: is prime
-----------------
Step: Is 4449685 composite?
Calculation: True
Step: Is 2287 a prime number?
Calculation: True
Step: Is 248293218827 composite?
Calculation: True
Step: Is 327937 composite?
Calculation: True
Step: Is 3223886431 a prime number?
Calculation: False
Step: Is 18451133 a composite number?
C... | english |
numbers: gcd
------------
Puzzle: Calculate the highest common factor of 475 and 60.
Math A: 5
Puzzle: What is the highest common factor of 38 and 589?
Math A: 19
Puzzle: What is the highest common divisor of 65 and 3185?
Math A: 65
Puzzle: Calculate the greatest common divisor of 239583 and 13.
Math A: 1
Puzzle: What ... | english |
numbers: gcd
------------
Ask: What is the highest common factor of 78 and 171644772?
Fix: 78
Ask: What is the highest common factor of 319 and 51304?
Fix: 11
Ask: What is the greatest common divisor of 1737 and 144?
Fix: 9
Ask: Calculate the highest common divisor of 7244076 and 420.
Fix: 84
Ask: Calculate the greates... | english |
measurement: time
-----------------
Puzzle: What is 398 minutes after 7:23 PM?
Explanation: 2:01 AM
Puzzle: How many minutes are there between 10:49 PM and 5:15 AM?
Explanation: 386
Puzzle: What is 505 minutes before 6:18 PM?
Explanation: 9:53 AM
Puzzle: What is 404 minutes after 10:15 PM?
Explanation: 4:59 AM
Puzzle: ... | english |
numbers: place value
--------------------
Subject: What is the tens digit of 996548208?
Eval: 0
Subject: What is the tens digit of 274?
Eval: 7
Subject: What is the units digit of 935665?
Eval: 5
Subject: What is the ten thousands digit of 134554?
Eval: 3
Subject: What is the hundreds digit of 4085?
Eval: 0
Subject: Wh... | english |
numbers: gcd
------------
Situation: Calculate the highest common factor of 43809296 and 368.
Reply: 368
Situation: Calculate the greatest common factor of 132 and 363.
Reply: 33
Situation: What is the greatest common factor of 32 and 5728?
Reply: 32
Situation: Calculate the highest common factor of 270 and 1090.
Reply... | english |
numbers: is factor
------------------
Situation: Does 31 divide 45759?
Finding: False
Situation: Is 530294 a multiple of 90?
Finding: False
Situation: Is 216 a factor of 2046831768?
Finding: True
Situation: Does 7 divide 240174942?
Finding: True
Situation: Is 4123028 a multiple of 13?
Finding: True
Situation: Does 24 d... | english |
probability: swr p sequence
---------------------------
Problem: Two letters picked without replacement from {s: 2, l: 3, j: 1, v: 1, h: 3, n: 1}. Give prob of sequence vs.
Output: 1/55
Problem: Four letters picked without replacement from ljxjljzxjcjxj. What is prob of sequence ljzl?
Output: 1/1430
Problem: Two letter... | english |
probability: swr p sequence
---------------------------
Query: Calculate prob of sequence qq when two letters picked without replacement from {o: 2, q: 3, t: 3}.
Solution: 3/28
Query: What is prob of sequence if when two letters picked without replacement from fffffififffifififfff?
Solution: 15/76
Query: Three letters ... | english |
numbers: gcd
------------
Given: What is the highest common divisor of 56 and 681016?
Eval: 56
Given: Calculate the greatest common divisor of 1285 and 399255.
Eval: 5
Given: Calculate the greatest common factor of 108 and 539379.
Eval: 27
Given: What is the greatest common factor of 384 and 42?
Eval: 6
Given: What is ... | english |
probability: swr p sequence
---------------------------
Request: Four letters picked without replacement from geegggbpgvgpp. Give prob of sequence bgev.
Finding: 1/1430
Request: Calculate prob of sequence ejen when four letters picked without replacement from {j: 4, n: 12, e: 4}.
Finding: 8/1615
Request: Two letters pi... | english |
numbers: is factor
------------------
Question: Is 78 a factor of 446114?
Answer: False
Question: Is 267049006 a multiple of 65?
Answer: False
Question: Does 12 divide 1563?
Answer: False
Question: Is 30 a factor of 63300?
Answer: True
Question: Does 3 divide 3213452?
Answer: False
Question: Does 4 divide 50024?
Answer... | english |
numbers: is factor
------------------
Question: Is 7251262 a multiple of 449?
Fix: False
Question: Is 5994 a multiple of 162?
Fix: True
Question: Is 4600348 a multiple of 1111?
Fix: False
Question: Is 967290056 a multiple of 2168?
Fix: True
Question: Is 7 a factor of 1013686?
Fix: False
Question: Is 186 a factor of 297... | english |
numbers: is prime
-----------------
Part A: Is 53693 composite?
Final Answer: False
Part A: Is 586553 a prime number?
Final Answer: False
Part A: Is 1039 composite?
Final Answer: False
Part A: Is 178255099 composite?
Final Answer: True
Part A: Is 1024890641 prime?
Final Answer: False
Part A: Is 9272293 composite?
Final... | english |
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