text stringlengths 256 2k | language stringclasses 2
values |
|---|---|
numbers: lcm
------------
Issue: What is the least common multiple of 32 and 4?
Explanation: 32
Issue: Calculate the smallest common multiple of 74756 and 11209.
Explanation: 76176364
Issue: Find the common denominator of 121/53910 and 50/33.
Explanation: 593010
Issue: Calculate the lowest common multiple of 11 and 362... | english |
probability: swr p sequence
---------------------------
Input: What is prob of sequence crvu when four letters picked without replacement from {r: 10, v: 4, c: 5, u: 1}?
Conclusion: 5/2907
Input: Three letters picked without replacement from ihhhii. Give prob of sequence ihh.
Conclusion: 3/20
Input: What is prob of seq... | english |
measurement: time
-----------------
Request: How many minutes are there between 12:56 PM and 5:16 PM?
Final Answer: 260
Request: What is 148 minutes after 1:57 PM?
Final Answer: 4:25 PM
Request: What is 156 minutes before 1:07 PM?
Final Answer: 10:31 AM
Request: How many minutes are there between 4:34 PM and 12:24 AM?
... | english |
numbers: gcd
------------
Step: Calculate the greatest common divisor of 286 and 902.
Soln: 22
Step: What is the greatest common divisor of 143 and 27731?
Soln: 11
Step: Calculate the highest common factor of 459 and 13925907.
Soln: 153
Step: What is the highest common factor of 98 and 648090954?
Soln: 98
Step: What is... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 88590 to the power of 1/4, to the nearest integer?
Response: 17
Ask: What is the cube root of 7198437020 to the nearest integer?
Response: 1931
Ask: What is the third root of 679108 to the nearest integer?
Response: 88
Ask: What is 12393896 ... | english |
numbers: place value
--------------------
Example: What is the hundred millions digit of 825149941?
Sol: 8
Example: What is the ten thousands digit of 68991?
Sol: 6
Example: What is the ten thousands digit of 15183?
Sol: 1
Example: What is the tens digit of 3842?
Sol: 4
Example: What is the tens digit of 463?
Sol: 6
Ex... | english |
measurement: conversion
-----------------------
Math Problem: Convert 0.2452448ug to nanograms.
A.: 245.2448
Math Problem: What is 2676.002 decades in centuries?
A.: 267.6002
Math Problem: How many hours are there in 19/4 of a week?
A.: 798
Math Problem: How many centimeters are there in 3/5 of a kilometer?
A.: 60000
M... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is the ninth root of 749 to the nearest integer?
Calculation: 2
Problem: What is 9554648 to the power of 1/8, to the nearest integer?
Calculation: 7
Problem: What is 21871 to the power of 1/2, to the nearest integer?
Calculation: 148
Proble... | english |
numbers: is prime
-----------------
Challenge: Is 337783 prime?
Fix: False
Challenge: Is 28807 composite?
Fix: False
Challenge: Is 43853 a prime number?
Fix: True
Challenge: Is 154801 composite?
Fix: True
Challenge: Is 18830573 a composite number?
Fix: False
Challenge: Is 22045 prime?
Fix: False
Challenge: Is 104118344... | english |
probability: swr p level set
----------------------------
Q=: What is prob of picking 2 j and 2 u when four letters picked without replacement from {c: 1, j: 3, u: 2, n: 4}?
Therefore: 1/70
Q=: What is prob of picking 3 a when three letters picked without replacement from ajaa?
Therefore: 1/4
Q=: What is prob of pickin... | english |
probability: swr p level set
----------------------------
Q: What is prob of picking 1 o, 1 f, and 1 e when three letters picked without replacement from eefefeefefoffe?
Ans: 3/26
Q: Calculate prob of picking 1 i and 3 j when four letters picked without replacement from ijjjjjjjvjjjjjj.
Ans: 22/105
Q: Two letters picke... | english |
numbers: gcd
------------
Given: What is the highest common divisor of 61 and 2257?
Eval: 61
Given: What is the highest common factor of 13233 and 1023?
Eval: 33
Given: What is the greatest common factor of 923 and 49452?
Eval: 13
Given: What is the greatest common factor of 9295 and 16224065?
Eval: 715
Given: What is ... | english |
numbers: gcd
------------
Challenge: Calculate the greatest common divisor of 3770 and 4094974.
Calculation: 754
Challenge: What is the highest common divisor of 9703 and 16589?
Calculation: 313
Challenge: Calculate the greatest common divisor of 5963241 and 1276.
Calculation: 29
Challenge: Calculate the greatest commo... | english |
numbers: is prime
-----------------
Item: Is 36991 composite?
Interpretation: True
Item: Is 1636146703 composite?
Interpretation: False
Item: Is 25893983 a prime number?
Interpretation: True
Item: Is 18926477 composite?
Interpretation: True
Item: Is 9511 prime?
Interpretation: True
Item: Is 47207981 a composite number?... | english |
numbers: place value
--------------------
Step: What is the units digit of 377?
Reply: 7
Step: What is the hundreds digit of 44151546?
Reply: 5
Step: What is the hundred thousands digit of 1767762?
Reply: 7
Step: What is the units digit of 12756?
Reply: 6
Step: What is the tens digit of 196100?
Reply: 0
Step: What is t... | english |
measurement: time
-----------------
Request: How many minutes are there between 11:01 PM and 11:21 PM?
Soln: 20
Request: What is 302 minutes before 1:16 PM?
Soln: 8:14 AM
Request: How many minutes are there between 11:14 PM and 12:10 AM?
Soln: 56
Request: What is 634 minutes before 3:14 PM?
Soln: 4:40 AM
Request: How m... | english |
numbers: div remainder
----------------------
Qn: What is the remainder when 137 is divided by 14?
Ans: 11
Qn: Calculate the remainder when 6843 is divided by 1140.
Ans: 3
Qn: Calculate the remainder when 5564047 is divided by 1053.
Ans: 1048
Qn: Calculate the remainder when 571 is divided by 163.
Ans: 82
Qn: Calculate... | english |
numbers: lcm
------------
Challenge: What is the common denominator of -73/4221 and 139/294?
Conclusion: 59094
Challenge: Calculate the lowest common multiple of 35 and 1845.
Conclusion: 12915
Challenge: Calculate the smallest common multiple of 478 and 430439.
Conclusion: 860878
Challenge: What is the common denominat... | english |
probability: swr p level set
----------------------------
Q=: What is prob of picking 2 v when two letters picked without replacement from vvhvvvvv?
Output: 3/4
Q=: What is prob of picking 1 i and 1 z when two letters picked without replacement from yoroizc?
Output: 1/21
Q=: Two letters picked without replacement from ... | english |
probability: swr p level set
----------------------------
Q-: What is prob of picking 2 c and 1 j when three letters picked without replacement from {x: 3, c: 2, j: 4, g: 1, l: 1}?
Math A: 4/165
Q-: Three letters picked without replacement from {a: 1, b: 7, d: 6, u: 1}. What is prob of picking 1 d, 1 a, and 1 b?
Math A... | english |
numbers: place value
--------------------
Math Q: What is the tens digit of 11716?
Ans: 1
Math Q: What is the units digit of 98215868?
Ans: 8
Math Q: What is the tens digit of 60065998?
Ans: 9
Math Q: What is the tens digit of 2946864?
Ans: 6
Math Q: What is the hundreds digit of 2280?
Ans: 2
Math Q: What is the tens d... | english |
numbers: div remainder
----------------------
Challenge: What is the remainder when 6341 is divided by 52?
Sol: 49
Challenge: What is the remainder when 3113296 is divided by 312?
Sol: 160
Challenge: Calculate the remainder when 12687 is divided by 423.
Sol: 420
Challenge: Calculate the remainder when 69039 is divided ... | english |
numbers: is factor
------------------
Q-: Is 10125357 a multiple of 4?
Clarification: False
Q-: Is 1679 a multiple of 6?
Clarification: False
Q-: Is 300 a factor of 57732?
Clarification: False
Q-: Does 26 divide 4585?
Clarification: False
Q-: Is 26013 a multiple of 299?
Clarification: True
Q-: Is 12 a factor of 326?
Cl... | english |
numbers: div remainder
----------------------
Given: Calculate the remainder when 20699655 is divided by 10349790.
Response: 75
Given: What is the remainder when 10940 is divided by 1094?
Response: 0
Given: What is the remainder when 46755 is divided by 910?
Response: 345
Given: What is the remainder when 36 is divided... | english |
probability: swr p sequence
---------------------------
Exercise: Four letters picked without replacement from hibfhbihhhiauih. Give prob of sequence buha.
Soln: 1/2730
Exercise: Three letters picked without replacement from {c: 1, s: 4, y: 11, f: 1}. Give prob of sequence ssy.
Soln: 11/340
Exercise: Three letters pick... | english |
numbers: gcd
------------
Scenario: What is the highest common factor of 106 and 1590?
Interpretation: 106
Scenario: What is the greatest common divisor of 89 and 2848?
Interpretation: 89
Scenario: What is the highest common divisor of 10761896 and 1988?
Interpretation: 284
Scenario: Calculate the greatest common facto... | english |
numbers: div remainder
----------------------
Subject: What is the remainder when 5463 is divided by 14?
Hence: 3
Subject: Calculate the remainder when 66 is divided by 39.
Hence: 27
Subject: What is the remainder when 98573 is divided by 12321?
Hence: 5
Subject: What is the remainder when 1012566 is divided by 13?
Hen... | english |
numbers: div remainder
----------------------
Step: What is the remainder when 35758 is divided by 16?
Math A: 14
Step: Calculate the remainder when 7976 is divided by 386.
Math A: 256
Step: Calculate the remainder when 7948 is divided by 5.
Math A: 3
Step: Calculate the remainder when 54940508 is divided by 611.
Math ... | english |
numbers: place value
--------------------
Q.: What is the tens digit of 195670?
Eval: 7
Q.: What is the ten thousands digit of 126206?
Eval: 2
Q.: What is the tens digit of 87306?
Eval: 0
Q.: What is the hundred millions digit of 5723872053?
Eval: 7
Q.: What is the tens digit of 2640891888?
Eval: 8
Q.: What is the unit... | english |
numbers: is prime
-----------------
Input: Is 16489 prime?
Workthrough: False
Input: Is 394179263 composite?
Workthrough: True
Input: Is 185 a composite number?
Workthrough: True
Input: Is 7365389 a prime number?
Workthrough: True
Input: Is 84186200099 a prime number?
Workthrough: True
Input: Is 9648977 prime?
Workthro... | english |
numbers: lcm
------------
Subquestion: Calculate the common denominator of 101/20 and -4/34153855.
Workthrough: 136615420
Subquestion: Calculate the smallest common multiple of 146214357 and 6.
Workthrough: 292428714
Subquestion: Find the common denominator of 43/188400 and 13/372090.
Workthrough: 14883600
Subquestion:... | english |
probability: swr p level set
----------------------------
Exercise: Calculate prob of picking 3 a when three letters picked without replacement from {a: 6, r: 12}.
Derivation: 5/204
Exercise: Calculate prob of picking 2 v when two letters picked without replacement from hevgvhh.
Derivation: 1/21
Exercise: Calculate pro... | english |
numbers: div remainder
----------------------
Puzzle: Calculate the remainder when 15642 is divided by 62.
Steps: 18
Puzzle: Calculate the remainder when 1294500 is divided by 2883.
Steps: 33
Puzzle: What is the remainder when 2692195 is divided by 9971?
Steps: 25
Puzzle: What is the remainder when 6864676 is divided b... | english |
probability: swr p sequence
---------------------------
Case: What is prob of sequence ivni when four letters picked without replacement from {n: 9, v: 1, c: 1, i: 4}?
Solution: 3/910
Case: What is prob of sequence ko when two letters picked without replacement from {k: 3, o: 4, p: 2}?
Solution: 1/6
Case: Three letters... | english |
probability: swr p sequence
---------------------------
Q-: What is prob of sequence xxx when three letters picked without replacement from {x: 7}?
Resolution: 1
Q-: Two letters picked without replacement from uauuuuauuuau. What is prob of sequence ua?
Resolution: 9/44
Q-: What is prob of sequence cid when three letter... | english |
probability: swr p level set
----------------------------
Let us solve: Four letters picked without replacement from sssssushshsus. Give prob of picking 1 u, 2 h, and 1 s.
Final Answer: 18/715
Let us solve: Calculate prob of picking 2 b, 1 e, and 1 d when four letters picked without replacement from {e: 2, h: 1, o: 1, ... | english |
numbers: is prime
-----------------
Query: Is 95681 prime?
Math A: False
Query: Is 301447 prime?
Math A: True
Query: Is 6305785 a prime number?
Math A: False
Query: Is 10016509 prime?
Math A: True
Query: Is 847767 a prime number?
Math A: False
Query: Is 13649 prime?
Math A: True
Query: Is 3224499 prime?
Math A: False
Q... | english |
numbers: place value
--------------------
Qn: What is the hundred millions digit of 154329041?
Finding: 1
Qn: What is the ten thousands digit of 21225?
Finding: 2
Qn: What is the tens digit of 156897?
Finding: 9
Qn: What is the millions digit of 1207923?
Finding: 1
Qn: What is the hundreds digit of 1359494526?
Finding:... | english |
arithmetic: nearest integer root
--------------------------------
Problem Statement: What is 230829 to the power of 1/6, to the nearest integer?
Derivation: 8
Problem Statement: What is the square root of 45211128 to the nearest integer?
Derivation: 6724
Problem Statement: What is 35454038 to the power of 1/2, to the n... | english |
measurement: time
-----------------
Subquestion: How many minutes are there between 11:36 AM and 4:15 PM?
Resolution: 279
Subquestion: What is 251 minutes after 3:10 PM?
Resolution: 7:21 PM
Subquestion: What is 639 minutes after 10:16 PM?
Resolution: 8:55 AM
Subquestion: How many minutes are there between 4:51 AM and 1... | english |
probability: swr p level set
----------------------------
Test item: Calculate prob of picking 2 v and 2 z when four letters picked without replacement from {v: 3, j: 2, d: 1, z: 2, g: 9}.
Soln: 3/2380
Test item: Calculate prob of picking 2 j when two letters picked without replacement from bjjjjjjjjbjj.
Soln: 15/22
Te... | english |
numbers: is prime
-----------------
Part A: Is 2471 composite?
Response: True
Part A: Is 618680417 composite?
Response: True
Part A: Is 239657 composite?
Response: True
Part A: Is 162140969 composite?
Response: False
Part A: Is 4188623 composite?
Response: True
Part A: Is 469745 prime?
Response: False
Part A: Is 116257... | english |
numbers: is prime
-----------------
Problem: Is 9239 composite?
Conclusion: False
Problem: Is 105517787 prime?
Conclusion: True
Problem: Is 378778 a composite number?
Conclusion: True
Problem: Is 290137 a prime number?
Conclusion: True
Problem: Is 283506631 composite?
Conclusion: False
Problem: Is 63339109 a composite ... | english |
probability: swr p level set
----------------------------
Problem Statement: Four letters picked without replacement from {u: 1, d: 3, m: 5, f: 1, y: 2}. Give prob of picking 1 u, 1 f, and 2 m.
= : 2/99
Problem Statement: Two letters picked without replacement from rzzrzrzrzrrrrr. Give prob of picking 2 r.
= : 36/91
Pr... | english |
probability: swr p level set
----------------------------
Given: Calculate prob of picking 2 w when two letters picked without replacement from dwdvvw.
Explanation: 1/15
Given: Two letters picked without replacement from {s: 1, k: 3, e: 5, a: 1}. What is prob of picking 1 e and 1 a?
Explanation: 1/9
Given: Three letter... | english |
numbers: div remainder
----------------------
Q: What is the remainder when 9054006 is divided by 4330?
Interpretation: 4306
Q: Calculate the remainder when 14393067 is divided by 1157.
Interpretation: 1144
Q: Calculate the remainder when 1905535 is divided by 7941.
Interpretation: 7636
Q: Calculate the remainder when ... | english |
numbers: place value
--------------------
Scenario: What is the units digit of 366932?
Calculation: 2
Scenario: What is the ten thousands digit of 366820?
Calculation: 6
Scenario: What is the ten thousands digit of 24989?
Calculation: 2
Scenario: What is the tens digit of 261?
Calculation: 6
Scenario: What is the tens ... | english |
measurement: time
-----------------
Conundrum: How many minutes are there between 8:11 AM and 11:25 AM?
Result: 194
Conundrum: How many minutes are there between 6:37 PM and 2:45 AM?
Result: 488
Conundrum: What is 454 minutes after 2:41 PM?
Result: 10:15 PM
Conundrum: What is 27 minutes after 3:41 AM?
Result: 4:08 AM
C... | english |
numbers: is factor
------------------
What if: Does 95 divide 2840025?
Solution: True
What if: Is 11980 a multiple of 20?
Solution: True
What if: Is 990 a multiple of 33?
Solution: True
What if: Is 321 a factor of 2679387?
Solution: True
What if: Does 14 divide 28912633?
Solution: False
What if: Does 769 divide 1045021... | english |
probability: swr p level set
----------------------------
Part A: Four letters picked without replacement from {r: 7, j: 1, f: 1}. Give prob of picking 1 j and 3 r.
Interpretation: 5/18
Part A: What is prob of picking 2 b and 1 n when three letters picked without replacement from {p: 7, n: 1, b: 4, f: 6}?
Interpretatio... | english |
numbers: div remainder
----------------------
Case: What is the remainder when 92129 is divided by 92098?
Reply: 31
Case: Calculate the remainder when 4545 is divided by 19.
Reply: 4
Case: Calculate the remainder when 114510 is divided by 16.
Reply: 14
Case: What is the remainder when 1355 is divided by 169?
Reply: 3
C... | english |
arithmetic: nearest integer root
--------------------------------
Scenario: What is the sixth root of 6180 to the nearest integer?
Fix: 4
Scenario: What is the third root of 919 to the nearest integer?
Fix: 10
Scenario: What is the ninth root of 889180 to the nearest integer?
Fix: 5
Scenario: What is 3493053539 to the ... | english |
arithmetic: nearest integer root
--------------------------------
Problem #: What is the ninth root of 2567587 to the nearest integer?
Ans: 5
Problem #: What is 28553 to the power of 1/2, to the nearest integer?
Ans: 169
Problem #: What is the fourth root of 1211223603 to the nearest integer?
Ans: 187
Problem #: What i... | english |
numbers: gcd
------------
Part A: Calculate the greatest common factor of 628 and 735388.
Steps: 628
Part A: What is the greatest common divisor of 28977 and 537189?
Steps: 2229
Part A: What is the highest common factor of 18202 and 190?
Steps: 38
Part A: Calculate the highest common factor of 13 and 9.
Steps: 1
Part A... | english |
measurement: time
-----------------
Let us solve: How many minutes are there between 4:51 AM and 3:52 PM?
Derivation: 661
Let us solve: What is 38 minutes after 12:13 PM?
Derivation: 12:51 PM
Let us solve: How many minutes are there between 2:02 PM and 1:31 AM?
Derivation: 689
Let us solve: How many minutes are there b... | english |
numbers: place value
--------------------
Exercise: What is the units digit of 16249?
Workthrough: 9
Exercise: What is the hundreds digit of 999?
Workthrough: 9
Exercise: What is the tens digit of 4453389?
Workthrough: 8
Exercise: What is the ten thousands digit of 722748678?
Workthrough: 4
Exercise: What is the hundre... | english |
probability: swr p sequence
---------------------------
Case: What is prob of sequence ppp when three letters picked without replacement from {p: 18, x: 2}?
Outcome: 68/95
Case: Three letters picked without replacement from {t: 1, h: 1, v: 1}. What is prob of sequence vtt?
Outcome: 0
Case: Four letters picked without r... | english |
numbers: is factor
------------------
Question: Does 3 divide 1323111570?
Output: True
Question: Is 9074450 a multiple of 71?
Output: False
Question: Does 1576 divide 1694062888?
Output: True
Question: Does 99 divide 11200718?
Output: False
Question: Does 756 divide 79724736?
Output: True
Question: Is 56 a factor of 76... | english |
numbers: gcd
------------
Issue: Calculate the greatest common divisor of 36400 and 658580.
Result: 260
Issue: Calculate the greatest common factor of 22 and 737.
Result: 11
Issue: What is the greatest common factor of 120 and 3468?
Result: 12
Issue: Calculate the highest common divisor of 33 and 22605.
Result: 33
Issu... | english |
numbers: div remainder
----------------------
Case: Calculate the remainder when 507920 is divided by 48.
A.: 32
Case: Calculate the remainder when 6898 is divided by 92.
A.: 90
Case: What is the remainder when 16083 is divided by 16059?
A.: 24
Case: What is the remainder when 3710 is divided by 27?
A.: 11
Case: Calcul... | english |
numbers: is prime
-----------------
Qn: Is 7899 prime?
Workthrough: False
Qn: Is 147182701583 a composite number?
Workthrough: True
Qn: Is 22787 composite?
Workthrough: False
Qn: Is 4470880759 composite?
Workthrough: False
Qn: Is 1042631 prime?
Workthrough: True
Qn: Is 248972551 a composite number?
Workthrough: False
Q... | english |
probability: swr p level set
----------------------------
Prompt: Calculate prob of picking 1 a, 1 o, and 1 n when three letters picked without replacement from wnnaaaqnaaon.
Resolution: 1/11
Prompt: Four letters picked without replacement from {l: 8, s: 4, o: 1}. Give prob of picking 1 s and 3 l.
Resolution: 224/715
P... | english |
measurement: time
-----------------
Conundrum: How many minutes are there between 5:35 AM and 11:06 AM?
Answer: 331
Conundrum: How many minutes are there between 2:40 AM and 12:25 PM?
Answer: 585
Conundrum: What is 173 minutes before 6:15 AM?
Answer: 3:22 AM
Conundrum: How many minutes are there between 4:46 AM and 8:5... | english |
numbers: div remainder
----------------------
Challenge: Calculate the remainder when 416 is divided by 12.
Response: 8
Challenge: Calculate the remainder when 1128 is divided by 690.
Response: 438
Challenge: What is the remainder when 29261372 is divided by 47272?
Response: 4
Challenge: Calculate the remainder when 27... | english |
probability: swr p level set
----------------------------
Let: What is prob of picking 1 w and 1 j when two letters picked without replacement from {j: 5, w: 15}?
Conclusion: 15/38
Let: Four letters picked without replacement from {s: 2, e: 1, l: 1, g: 1}. Give prob of picking 1 l, 1 g, and 2 s.
Conclusion: 1/5
Let: Ca... | english |
probability: swr p level set
----------------------------
Case: Three letters picked without replacement from vnvvxxxvff. What is prob of picking 1 x, 1 f, and 1 n?
Yields: 1/20
Case: Calculate prob of picking 3 o when three letters picked without replacement from oobbbbobbobbo.
Yields: 5/143
Case: Two letters picked w... | english |
probability: swr p level set
----------------------------
Q): Two letters picked without replacement from wtdsfufsd. What is prob of picking 2 d?
Yields: 1/36
Q): Two letters picked without replacement from {l: 4, z: 2, o: 3, p: 6}. Give prob of picking 1 o and 1 z.
Yields: 2/35
Q): Two letters picked without replaceme... | english |
numbers: is prime
-----------------
Puzzle: Is 6389713346 composite?
Soln: True
Puzzle: Is 1631672209 prime?
Soln: True
Puzzle: Is 163872201 a composite number?
Soln: True
Puzzle: Is 43534843 a prime number?
Soln: False
Puzzle: Is 168801981 composite?
Soln: True
Puzzle: Is 1707331 prime?
Soln: True
Puzzle: Is 27601513 ... | english |
probability: swr p level set
----------------------------
Q: What is prob of picking 1 r, 1 l, and 2 y when four letters picked without replacement from {j: 1, y: 9, r: 6, l: 1}?
Eval: 54/595
Q: Four letters picked without replacement from {t: 6, j: 2, u: 2, y: 2}. What is prob of picking 1 t, 2 j, and 1 y?
Eval: 4/165... | english |
probability: swr p level set
----------------------------
Qn: Three letters picked without replacement from aaammonmnn. What is prob of picking 1 n, 1 o, and 1 m?
A: 3/40
Qn: Calculate prob of picking 1 o, 1 p, 1 u, and 1 t when four letters picked without replacement from {w: 1, u: 2, t: 2, p: 2, o: 1}.
A: 4/35
Qn: Ca... | english |
numbers: gcd
------------
Ask: What is the greatest common divisor of 25 and 221891525?
Ans: 25
Ask: What is the highest common factor of 528743 and 94724?
Ans: 199
Ask: What is the highest common divisor of 78545 and 460?
Ans: 115
Ask: What is the highest common divisor of 32 and 306512?
Ans: 16
Ask: Calculate the hig... | english |
probability: swr p level set
----------------------------
Ask: Calculate prob of picking 1 j, 1 a, and 1 k when three letters picked without replacement from {a: 5, k: 3, j: 5}.
Ans: 75/286
Ask: Calculate prob of picking 4 w when four letters picked without replacement from {u: 3, w: 11}.
Ans: 30/91
Ask: Calculate prob... | english |
numbers: place value
--------------------
Case: What is the units digit of 8149088883?
Sol: 3
Case: What is the hundred thousands digit of 14892513?
Sol: 8
Case: What is the units digit of 792405?
Sol: 5
Case: What is the units digit of 53464?
Sol: 4
Case: What is the tens digit of 31117649?
Sol: 4
Case: What is the th... | english |
measurement: time
-----------------
Problem Statement: How many minutes are there between 3:21 AM and 8:39 AM?
Sol: 318
Problem Statement: How many minutes are there between 2:49 PM and 9:50 PM?
Sol: 421
Problem Statement: What is 97 minutes after 5:01 PM?
Sol: 6:38 PM
Problem Statement: How many minutes are there betw... | english |
numbers: div remainder
----------------------
Step: Calculate the remainder when 7304 is divided by 3.
Response: 2
Step: What is the remainder when 412142 is divided by 134?
Response: 92
Step: Calculate the remainder when 61756 is divided by 7492.
Response: 1820
Step: Calculate the remainder when 47199 is divided by 33... | english |
numbers: lcm
------------
What if: Calculate the least common multiple of 30 and 7827140.
Calculation: 23481420
What if: What is the least common multiple of 30 and 320425?
Calculation: 1922550
What if: What is the lowest common multiple of 426 and 90?
Calculation: 6390
What if: What is the common denominator of -83/24... | english |
numbers: lcm
------------
Conundrum: What is the lowest common multiple of 197 and 8?
Calculation: 1576
Conundrum: Find the common denominator of 31/352 and -47/130496.
Calculation: 1435456
Conundrum: Calculate the common denominator of -24/589 and -119/117697400.
Calculation: 3648619400
Conundrum: What is the least co... | english |
numbers: place value
--------------------
Math Q: What is the ten millions digit of 39246310?
Result: 3
Math Q: What is the thousands digit of 1380612682?
Result: 2
Math Q: What is the hundreds digit of 1188?
Result: 1
Math Q: What is the hundreds digit of 9004?
Result: 0
Math Q: What is the millions digit of 1757960?
... | english |
numbers: is prime
-----------------
Prompt: Is 32542333 a prime number?
Finding: False
Prompt: Is 7870330821 a prime number?
Finding: False
Prompt: Is 586 prime?
Finding: False
Prompt: Is 34101037 a composite number?
Finding: True
Prompt: Is 1889 a composite number?
Finding: False
Prompt: Is 47234749187 composite?
Find... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is 4118501 to the power of 1/2, to the nearest integer?
Gives: 2029
Given: What is the tenth root of 7442206670 to the nearest integer?
Gives: 10
Given: What is the third root of 58657456 to the nearest integer?
Gives: 389
Given: What is the ... | english |
arithmetic: nearest integer root
--------------------------------
Case: What is the third root of 266362614 to the nearest integer?
A: 643
Case: What is the fourth root of 19371342 to the nearest integer?
A: 66
Case: What is the sixth root of 1861619248 to the nearest integer?
A: 35
Case: What is the cube root of 73549... | english |
probability: swr p sequence
---------------------------
Problem Statement: Three letters picked without replacement from lalllllalllll. Give prob of sequence lla.
Eval: 5/39
Problem Statement: What is prob of sequence naf when three letters picked without replacement from {n: 1, f: 1, a: 2, y: 1}?
Eval: 1/30
Problem St... | english |
numbers: is prime
-----------------
Issue: Is 1361 composite?
Reply: False
Issue: Is 89994871 a composite number?
Reply: False
Issue: Is 2243478361 a composite number?
Reply: True
Issue: Is 24302847083 a prime number?
Reply: True
Issue: Is 2476023717 a prime number?
Reply: False
Issue: Is 677035906 prime?
Reply: False
... | english |
measurement: conversion
-----------------------
Problem Statement: How many seconds are there in ten thirds of a minute?
Explanation: 200
Problem Statement: What is 64.57048 minutes in microseconds?
Explanation: 3874228800
Problem Statement: What is 7/8 of a kilogram in grams?
Explanation: 875
Problem Statement: How ma... | english |
numbers: gcd
------------
Statement: Calculate the highest common divisor of 1895 and 3111969.
Clarification: 379
Statement: Calculate the highest common divisor of 44064 and 92208.
Clarification: 816
Statement: What is the highest common factor of 38 and 1026?
Clarification: 38
Statement: What is the greatest common d... | english |
probability: swr p sequence
---------------------------
Item: Calculate prob of sequence ebdb when four letters picked without replacement from mmbdmbemmdm.
= : 1/1980
Item: Calculate prob of sequence mmk when three letters picked without replacement from {h: 4, k: 2, t: 1, m: 2, x: 7}.
= : 1/840
Item: Calculate prob o... | english |
probability: swr p sequence
---------------------------
Prompt: Four letters picked without replacement from ddddddddnddndndd. What is prob of sequence dnnd?
Sol: 3/140
Prompt: Calculate prob of sequence wcw when three letters picked without replacement from {y: 7, c: 7, o: 1, w: 2}.
Sol: 7/2040
Prompt: Calculate prob ... | english |
numbers: lcm
------------
Statement: What is the least common multiple of 1638 and 90?
Interpretation: 8190
Statement: What is the common denominator of 38/5 and -24/175675?
Interpretation: 175675
Statement: Calculate the common denominator of -82/7965 and 16/21.
Interpretation: 55755
Statement: Calculate the least com... | english |
probability: swr p level set
----------------------------
Given: Three letters picked without replacement from {u: 1, b: 3, z: 3, q: 3, f: 1}. What is prob of picking 1 u, 1 z, and 1 b?
= : 3/55
Given: Four letters picked without replacement from {a: 8, g: 3, i: 3, h: 3}. What is prob of picking 2 i, 1 a, and 1 h?
= : ... | english |
numbers: is factor
------------------
Problem: Is 495 a multiple of 35?
Output: False
Problem: Is 326575 a multiple of 39?
Output: False
Problem: Is 2 a factor of 5611?
Output: False
Problem: Is 386316432 a multiple of 11?
Output: False
Problem: Is 24 a factor of 1367826840?
Output: True
Problem: Is 50 a factor of 100?... | english |
numbers: gcd
------------
Task: Calculate the greatest common divisor of 220 and 660.
Sol: 220
Task: What is the greatest common divisor of 42 and 16974706?
Sol: 14
Task: What is the greatest common factor of 8026713 and 9?
Sol: 9
Task: Calculate the greatest common divisor of 10 and 1976890.
Sol: 10
Task: What is the ... | english |
numbers: gcd
------------
Example: What is the highest common divisor of 40 and 680?
Eval: 40
Example: Calculate the highest common divisor of 1382682 and 441.
Eval: 147
Example: What is the greatest common factor of 51649 and 263523?
Eval: 377
Example: Calculate the highest common divisor of 4 and 2764.
Eval: 4
Exampl... | english |
numbers: place value
--------------------
Scenario: What is the hundreds digit of 21577?
Calculation: 5
Scenario: What is the tens digit of 72?
Calculation: 7
Scenario: What is the thousands digit of 33550993?
Calculation: 0
Scenario: What is the thousands digit of 20585826?
Calculation: 5
Scenario: What is the hundred... | english |
probability: swr p sequence
---------------------------
Q=: What is prob of sequence sqs when three letters picked without replacement from {l: 1, s: 3, y: 4, q: 2, r: 6}?
Answer: 1/280
Q=: What is prob of sequence rrl when three letters picked without replacement from {r: 2, e: 1, l: 1}?
Answer: 1/12
Q=: Calculate pro... | english |
numbers: is prime
-----------------
Math Problem: Is 486373441 prime?
Sol: False
Math Problem: Is 5008447981 composite?
Sol: True
Math Problem: Is 81391 prime?
Sol: False
Math Problem: Is 10587677 prime?
Sol: True
Math Problem: Is 1771280699 prime?
Sol: False
Math Problem: Is 22384923139 prime?
Sol: True
Math Problem: ... | english |
probability: swr p sequence
---------------------------
Q/A: Three letters picked without replacement from {t: 5, w: 3, h: 1, f: 1, i: 1, l: 3}. What is prob of sequence fwi?
Response: 1/728
Q/A: Three letters picked without replacement from wllvzkyyzlzyvlzzlv. Give prob of sequence zkw.
Response: 5/4896
Q/A: Three let... | english |
numbers: div remainder
----------------------
Issue: What is the remainder when 461 is divided by 69?
= : 47
Issue: Calculate the remainder when 2627 is divided by 12.
= : 11
Issue: Calculate the remainder when 31790 is divided by 82.
= : 56
Issue: Calculate the remainder when 2128 is divided by 123.
= : 37
Issue: What... | english |
numbers: is prime
-----------------
Challenge: Is 70373 prime?
Steps: True
Challenge: Is 276560633 composite?
Steps: True
Challenge: Is 1367772715 composite?
Steps: True
Challenge: Is 5712703 a prime number?
Steps: True
Challenge: Is 247906649 a composite number?
Steps: True
Challenge: Is 7433 prime?
Steps: True
Challe... | english |
numbers: place value
--------------------
Problem #: What is the hundred thousands digit of 277102?
Outcome: 2
Problem #: What is the thousands digit of 65895?
Outcome: 5
Problem #: What is the millions digit of 5897556?
Outcome: 5
Problem #: What is the millions digit of 134418203?
Outcome: 4
Problem #: What is the hu... | english |
numbers: is factor
------------------
Item: Does 15 divide 83939?
Solution: False
Item: Does 41 divide 196631952?
Solution: False
Item: Does 36 divide 587736?
Solution: True
Item: Is 43350037 a multiple of 39?
Solution: False
Item: Does 4168 divide 2270080360?
Solution: True
Item: Is 80938621 a multiple of 379?
Solutio... | english |
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