text stringlengths 256 2k | language stringclasses 2
values |
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numbers: is prime
-----------------
Request: Is 6784562857 a composite number?
Answer: False
Request: Is 7915180613 prime?
Answer: True
Request: Is 3406377041 a prime number?
Answer: False
Request: Is 10495713871 a prime number?
Answer: False
Request: Is 985762723 a composite number?
Answer: True
Request: Is 83517323 a... | english |
numbers: is prime
-----------------
Query: Is 26419450898 a prime number?
Outcome: False
Query: Is 64773447 a prime number?
Outcome: False
Query: Is 6419407 a composite number?
Outcome: False
Query: Is 11481705299 a prime number?
Outcome: False
Query: Is 67262617 prime?
Outcome: False
Query: Is 31187 prime?
Outcome: Fa... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from jcehvjvh.
Therefore: 1/28
Task: Four letters picked without replacement from hhklaaaakhhkakkak. Give prob of picking 1 h, 1 a, 1 k, and 1 l.
Therefore: 36/595
Task: Ca... | english |
probability: swr p sequence
---------------------------
Case: Three letters picked without replacement from {b: 2, j: 3, q: 3, f: 1, i: 1, s: 1}. Give prob of sequence sjq.
Reply: 1/110
Case: Two letters picked without replacement from kkkkkkkkkk. What is prob of sequence kk?
Reply: 1
Case: Two letters picked without r... | english |
numbers: div remainder
----------------------
Q): Calculate the remainder when 878 is divided by 52.
Result: 46
Q): What is the remainder when 46 is divided by 12?
Result: 10
Q): What is the remainder when 1249 is divided by 620?
Result: 9
Q): What is the remainder when 4411 is divided by 48?
Result: 43
Q): Calculate t... | english |
probability: swr p sequence
---------------------------
Example: Two letters picked without replacement from vfvmvfmdpflmpvmmmd. What is prob of sequence fd?
Solution: 1/51
Example: Three letters picked without replacement from {d: 2, s: 4, v: 1, p: 4, c: 6}. Give prob of sequence vdp.
Solution: 1/510
Example: Calculat... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is 2673341201 to the power of 1/9, to the nearest integer?
A: 11
Part A: What is the square root of 581249457 to the nearest integer?
A: 24109
Part A: What is 189118 to the power of 1/3, to the nearest integer?
A: 57
Part A: What is the thir... | english |
numbers: gcd
------------
Ask: What is the greatest common divisor of 21 and 114919?
Solution: 7
Ask: Calculate the greatest common divisor of 39 and 52.
Solution: 13
Ask: Calculate the greatest common divisor of 21 and 623.
Solution: 7
Ask: What is the highest common factor of 142 and 161286?
Solution: 2
Ask: Calculat... | english |
numbers: gcd
------------
Prompt: Calculate the greatest common factor of 2502586 and 438.
→: 146
Prompt: Calculate the highest common factor of 1168 and 1607752.
→: 584
Prompt: Calculate the highest common factor of 128 and 2.
→: 2
Prompt: Calculate the highest common factor of 2183 and 11918.
→: 59
Prompt: Calculate ... | english |
numbers: gcd
------------
Q=: What is the greatest common divisor of 176 and 1652596?
Calculation: 44
Q=: What is the highest common factor of 6201 and 52?
Calculation: 13
Q=: What is the greatest common factor of 708 and 38350?
Calculation: 118
Q=: Calculate the highest common divisor of 463131 and 1820853.
Calculatio... | english |
numbers: div remainder
----------------------
Q): Calculate the remainder when 130227166 is divided by 751.
Derivation: 11
Q): What is the remainder when 4156 is divided by 66?
Derivation: 64
Q): Calculate the remainder when 959 is divided by 15.
Derivation: 14
Q): What is the remainder when 2544808 is divided by 847?
... | english |
measurement: time
-----------------
Scenario: What is 191 minutes before 1:54 AM?
Thus: 10:43 PM
Scenario: What is 223 minutes before 2:09 AM?
Thus: 10:26 PM
Scenario: What is 481 minutes after 1:20 PM?
Thus: 9:21 PM
Scenario: What is 583 minutes after 4:26 PM?
Thus: 2:09 AM
Scenario: How many minutes are there between... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is the cube root of 482698 to the nearest integer?
Soln: 78
Problem: What is 894508 to the power of 1/3, to the nearest integer?
Soln: 96
Problem: What is 795 to the power of 1/10, to the nearest integer?
Soln: 2
Problem: What is the sixth ... | english |
numbers: div remainder
----------------------
Qn: Calculate the remainder when 343 is divided by 23.
Interpretation: 21
Qn: What is the remainder when 46 is divided by 35?
Interpretation: 11
Qn: What is the remainder when 2062966 is divided by 82518?
Interpretation: 16
Qn: Calculate the remainder when 68449 is divided ... | english |
probability: swr p sequence
---------------------------
Issue: What is prob of sequence hhh when three letters picked without replacement from {c: 10, q: 2, h: 3}?
Steps: 1/455
Issue: Two letters picked without replacement from {p: 1, z: 2, m: 1, w: 2, l: 1, j: 2}. What is prob of sequence jl?
Steps: 1/36
Issue: Four l... | english |
numbers: gcd
------------
Step: Calculate the highest common factor of 315206 and 97477.
Outcome: 911
Step: Calculate the highest common divisor of 4539 and 942.
Outcome: 3
Step: Calculate the highest common factor of 200 and 272060.
Outcome: 20
Step: What is the highest common divisor of 7 and 8?
Outcome: 1
Step: Calc... | english |
measurement: conversion
-----------------------
Problem #: How many millennia are there in 3.46224 decades?
Result: 0.0346224
Problem #: What is 27/5 of a litre in millilitres?
Result: 5400
Problem #: How many milligrams are there in 61.0719ng?
Result: 0.0000610719
Problem #: What is three fifths of a decade in years?
... | english |
numbers: gcd
------------
Subject: What is the highest common divisor of 184 and 15916?
Soln: 92
Subject: Calculate the greatest common divisor of 14409920 and 849856.
Soln: 3136
Subject: Calculate the greatest common divisor of 9570 and 2608705.
Soln: 55
Subject: What is the highest common divisor of 136 and 34?
Soln:... | english |
numbers: is prime
-----------------
Task: Is 1259 prime?
Final Answer: True
Task: Is 906637 composite?
Final Answer: True
Task: Is 1554019 composite?
Final Answer: False
Task: Is 2163109 a prime number?
Final Answer: False
Task: Is 62002357 composite?
Final Answer: False
Task: Is 18860477 a composite number?
Final Answ... | english |
probability: swr p level set
----------------------------
Q): What is prob of picking 1 b and 2 c when three letters picked without replacement from {b: 5, q: 1, g: 4, c: 5, e: 5}?
Solution: 5/114
Q): Two letters picked without replacement from {h: 1, l: 1, p: 1, d: 1, m: 1, o: 2}. Give prob of picking 1 o and 1 m.
Sol... | english |
numbers: gcd
------------
Ask: Calculate the greatest common divisor of 384 and 352.
Finding: 32
Ask: What is the highest common divisor of 15747 and 423777?
Finding: 87
Ask: Calculate the highest common divisor of 16 and 29768.
Finding: 8
Ask: Calculate the highest common factor of 168811 and 1321.
Finding: 1
Ask: Wha... | english |
probability: swr p sequence
---------------------------
Test item: Three letters picked without replacement from zbbsbbbbszslubbzbszu. What is prob of sequence bzz?
Result: 3/190
Test item: Four letters picked without replacement from {o: 4, y: 1, m: 1, i: 2, a: 3, e: 1}. Give prob of sequence oeya.
Result: 1/990
Test ... | english |
probability: swr p sequence
---------------------------
Subject: Three letters picked without replacement from {q: 11, u: 3}. What is prob of sequence uqu?
Ans: 11/364
Subject: Four letters picked without replacement from {j: 2, n: 1, d: 8, x: 4}. Give prob of sequence ndjj.
Ans: 2/4095
Subject: Three letters picked wi... | english |
arithmetic: nearest integer root
--------------------------------
What if: What is the square root of 87306258 to the nearest integer?
Finding: 9344
What if: What is 2325631675 to the power of 1/3, to the nearest integer?
Finding: 1325
What if: What is 79480793 to the power of 1/10, to the nearest integer?
Finding: 6
W... | english |
numbers: place value
--------------------
Problem: What is the units digit of 208345644?
Derivation: 4
Problem: What is the ten millions digit of 64932709?
Derivation: 6
Problem: What is the thousands digit of 11051?
Derivation: 1
Problem: What is the tens digit of 27730109?
Derivation: 0
Problem: What is the hundreds ... | english |
probability: swr p level set
----------------------------
What if: Two letters picked without replacement from {v: 2, w: 10, r: 2, p: 6}. Give prob of picking 2 w.
Calculation: 9/38
What if: What is prob of picking 1 j and 1 u when two letters picked without replacement from {u: 4, j: 3}?
Calculation: 4/7
What if: What... | english |
measurement: time
-----------------
Request: How many minutes are there between 2:52 AM and 6:23 AM?
Calculation: 211
Request: What is 688 minutes after 2:55 PM?
Calculation: 2:23 AM
Request: What is 675 minutes before 9:08 PM?
Calculation: 9:53 AM
Request: How many minutes are there between 8:55 AM and 6:15 PM?
Calcul... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is the sixth root of 2694 to the nearest integer?
Calculation: 4
Q=: What is 68811 to the power of 1/2, to the nearest integer?
Calculation: 262
Q=: What is the square root of 27061387 to the nearest integer?
Calculation: 5202
Q=: What is the sq... | english |
numbers: is prime
-----------------
Input: Is 729122161 composite?
Compute: True
Input: Is 1449113 prime?
Compute: True
Input: Is 6803 composite?
Compute: False
Input: Is 1357 a prime number?
Compute: False
Input: Is 90469 a prime number?
Compute: True
Input: Is 73342894 a composite number?
Compute: True
Input: Is 1087... | english |
numbers: is factor
------------------
Math Problem: Is 8443702 a multiple of 149?
Derivation: False
Math Problem: Is 6 a factor of 30798?
Derivation: True
Math Problem: Is 1231472 a multiple of 86?
Derivation: False
Math Problem: Does 299 divide 2718209?
Derivation: True
Math Problem: Is 10400904 a multiple of 171?
Der... | english |
numbers: div remainder
----------------------
Conundrum: What is the remainder when 39807 is divided by 699?
Compute: 663
Conundrum: Calculate the remainder when 46342 is divided by 5148.
Compute: 10
Conundrum: Calculate the remainder when 22983748 is divided by 3.
Compute: 1
Conundrum: Calculate the remainder when 169... | english |
numbers: place value
--------------------
Part A: What is the units digit of 1718972672?
Derivation: 2
Part A: What is the hundred thousands digit of 149552?
Derivation: 1
Part A: What is the hundred thousands digit of 1022588?
Derivation: 0
Part A: What is the tens digit of 894198?
Derivation: 9
Part A: What is the te... | english |
numbers: place value
--------------------
Subject: What is the hundreds digit of 89084?
= : 0
Subject: What is the millions digit of 4877097?
= : 4
Subject: What is the thousands digit of 2295?
= : 2
Subject: What is the units digit of 959?
= : 9
Subject: What is the hundred millions digit of 4163097132?
= : 1
Subject:... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is 2901149 to the power of 1/5, to the nearest integer?
Sol: 20
Given: What is the square root of 1227 to the nearest integer?
Sol: 35
Given: What is the third root of 39605205 to the nearest integer?
Sol: 341
Given: What is the square root o... | english |
numbers: place value
--------------------
Subject: What is the thousands digit of 382251633?
Thus: 1
Subject: What is the ten millions digit of 430420399?
Thus: 3
Subject: What is the units digit of 114773580?
Thus: 0
Subject: What is the hundred thousands digit of 217492?
Thus: 2
Subject: What is the hundred thousands... | english |
numbers: gcd
------------
What if: Calculate the highest common factor of 2893 and 8239.
Explanation: 11
What if: What is the greatest common factor of 7 and 1561?
Explanation: 7
What if: What is the highest common divisor of 612 and 144?
Explanation: 36
What if: Calculate the greatest common divisor of 1095 and 657.
E... | english |
numbers: is factor
------------------
Given: Does 139 divide 3203?
Resolution: False
Given: Is 4731 a factor of 1008923598?
Resolution: True
Given: Does 3 divide 493597?
Resolution: False
Given: Is 1720 a factor of 37864623?
Resolution: False
Given: Is 56 a factor of 2626?
Resolution: False
Given: Is 2813274 a multiple... | english |
probability: swr p level set
----------------------------
Problem: Calculate prob of picking 2 i when two letters picked without replacement from hhhhhiihiiihihiihii.
Hence: 5/19
Problem: Two letters picked without replacement from kykpmmylplcylyllpyy. Give prob of picking 1 c and 1 l.
Hence: 5/171
Problem: Four letter... | english |
probability: swr p level set
----------------------------
Input: Calculate prob of picking 2 r when two letters picked without replacement from {n: 1, r: 3, b: 3}.
Conclusion: 1/7
Input: Three letters picked without replacement from {d: 4, o: 2, u: 2, f: 1, q: 1}. Give prob of picking 2 u and 1 q.
Conclusion: 1/120
Inp... | english |
probability: swr p sequence
---------------------------
Let us solve: Two letters picked without replacement from qnnanmq. Give prob of sequence nn.
Yields: 1/7
Let us solve: Three letters picked without replacement from {u: 3, v: 4}. What is prob of sequence vvv?
Yields: 4/35
Let us solve: Two letters picked without r... | english |
numbers: is prime
-----------------
Input: Is 41717 composite?
Answer: True
Input: Is 14628779591 a prime number?
Answer: True
Input: Is 3953051 a prime number?
Answer: True
Input: Is 5593531 prime?
Answer: False
Input: Is 1181633 composite?
Answer: False
Input: Is 223542214355 a composite number?
Answer: True
Input: I... | english |
probability: swr p sequence
---------------------------
Q: Two letters picked without replacement from {e: 1, y: 2, w: 2}. What is prob of sequence ye?
Eval: 1/10
Q: Two letters picked without replacement from {q: 9, w: 5}. Give prob of sequence wq.
Eval: 45/182
Q: Four letters picked without replacement from eeeleelee... | english |
measurement: time
-----------------
Ask: What is 166 minutes after 3:48 PM?
Thus: 6:34 PM
Ask: How many minutes are there between 8:12 AM and 6:40 PM?
Thus: 628
Ask: What is 111 minutes before 8:26 PM?
Thus: 6:35 PM
Ask: How many minutes are there between 4:14 AM and 1:52 PM?
Thus: 578
Ask: What is 62 minutes before 3:... | english |
measurement: conversion
-----------------------
Challenge: How many milliseconds are there in five quarters of a second?
Calculation: 1250
Challenge: What is 9/10 of a litre in millilitres?
Calculation: 900
Challenge: What is 1/5 of a millennium in years?
Calculation: 200
Challenge: How many meters are there in 25/2 of... | english |
probability: swr p sequence
---------------------------
Request: Calculate prob of sequence kf when two letters picked without replacement from {k: 2, g: 3, f: 3}.
Clarification: 3/28
Request: Calculate prob of sequence uu when two letters picked without replacement from {g: 4, y: 2, u: 7, p: 4, c: 1, v: 1}.
Clarificat... | english |
probability: swr p level set
----------------------------
Statement: Two letters picked without replacement from {s: 4, a: 14}. Give prob of picking 2 a.
Explanation: 91/153
Statement: What is prob of picking 1 h and 1 k when two letters picked without replacement from {q: 5, j: 1, k: 2, u: 5, r: 1, h: 1}?
Explanation:... | english |
arithmetic: nearest integer root
--------------------------------
Qn: What is the third root of 15575 to the nearest integer?
A: 25
Qn: What is the sixth root of 10403 to the nearest integer?
A: 5
Qn: What is 32574 to the power of 1/3, to the nearest integer?
A: 32
Qn: What is 63 to the power of 1/3, to the nearest int... | english |
arithmetic: nearest integer root
--------------------------------
Test item: What is 1663183214 to the power of 1/6, to the nearest integer?
Key: 34
Test item: What is 1006875271 to the power of 1/3, to the nearest integer?
Key: 1002
Test item: What is the cube root of 48869802 to the nearest integer?
Key: 366
Test ite... | english |
numbers: place value
--------------------
Input: What is the units digit of 6645?
Sol: 5
Input: What is the thousands digit of 1532?
Sol: 1
Input: What is the tens digit of 295?
Sol: 9
Input: What is the tens digit of 53914?
Sol: 1
Input: What is the millions digit of 3518250?
Sol: 3
Input: What is the hundred thousand... | english |
probability: swr p level set
----------------------------
Puzzle: Two letters picked without replacement from mjqcjncqmjjqfmc. Give prob of picking 1 f and 1 q.
Outcome: 1/35
Puzzle: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {q: 2, b: 8}.
Outcome: 16/45
Puzzle: What is prob ... | english |
probability: swr p sequence
---------------------------
Puzzle: What is prob of sequence zszz when four letters picked without replacement from {z: 4, s: 3}?
Calculation: 3/35
Puzzle: What is prob of sequence vsv when three letters picked without replacement from vsssssssssssv?
Calculation: 1/78
Puzzle: Calculate prob ... | english |
numbers: gcd
------------
Given: Calculate the highest common divisor of 442 and 17.
Derivation: 17
Given: What is the greatest common factor of 1 and 3?
Derivation: 1
Given: What is the greatest common factor of 18524 and 172610?
Derivation: 842
Given: Calculate the highest common divisor of 9158 and 62398274.
Derivat... | english |
numbers: gcd
------------
Conundrum: Calculate the highest common divisor of 7098 and 105924.
Soln: 546
Conundrum: What is the highest common divisor of 10281 and 84036?
Soln: 447
Conundrum: Calculate the greatest common divisor of 132 and 234608.
Soln: 44
Conundrum: Calculate the greatest common factor of 575 and 92.
... | english |
numbers: div remainder
----------------------
Q: Calculate the remainder when 87033 is divided by 23.
Explanation: 1
Q: Calculate the remainder when 148711 is divided by 59.
Explanation: 31
Q: Calculate the remainder when 231 is divided by 70.
Explanation: 21
Q: Calculate the remainder when 299 is divided by 92.
Explan... | english |
probability: swr p sequence
---------------------------
Q-: Calculate prob of sequence moe when three letters picked without replacement from {o: 5, v: 5, e: 7, m: 2}.
Answer: 35/2907
Q-: Two letters picked without replacement from aokag. What is prob of sequence ok?
Answer: 1/20
Q-: Two letters picked without replacem... | english |
arithmetic: nearest integer root
--------------------------------
Part A: What is the third root of 1587101 to the nearest integer?
Fix: 117
Part A: What is the seventh root of 97588330 to the nearest integer?
Fix: 14
Part A: What is 177667039 to the power of 1/3, to the nearest integer?
Fix: 562
Part A: What is the cu... | english |
numbers: gcd
------------
Let us solve: What is the highest common factor of 402819875 and 1483?
Compute: 1483
Let us solve: Calculate the highest common factor of 6 and 2220.
Compute: 6
Let us solve: Calculate the greatest common factor of 14 and 70.
Compute: 14
Let us solve: What is the highest common factor of 633 a... | english |
probability: swr p level set
----------------------------
Ask: What is prob of picking 3 y when three letters picked without replacement from yyyyyyyyyyyyxxx?
Result: 44/91
Ask: What is prob of picking 3 h when three letters picked without replacement from hhhhbhhhhhhbh?
Result: 15/26
Ask: Two letters picked without re... | english |
measurement: time
-----------------
Example: How many minutes are there between 12:17 PM and 7:50 PM?
Clarification: 453
Example: What is 172 minutes before 10:47 PM?
Clarification: 7:55 PM
Example: How many minutes are there between 4:30 AM and 6:36 AM?
Clarification: 126
Example: What is 665 minutes before 6:01 AM?
C... | english |
numbers: place value
--------------------
Math Q: What is the tens digit of 51222995?
A.: 9
Math Q: What is the thousands digit of 113916?
A.: 3
Math Q: What is the ten thousands digit of 3211056?
A.: 1
Math Q: What is the millions digit of 110887351?
A.: 0
Math Q: What is the hundred millions digit of 933280181?
A.: 9... | english |
numbers: is prime
-----------------
Let us solve: Is 36739 composite?
Eval: False
Let us solve: Is 3162220877 a prime number?
Eval: True
Let us solve: Is 31930669 a composite number?
Eval: False
Let us solve: Is 320748221 composite?
Eval: True
Let us solve: Is 16196735 composite?
Eval: True
Let us solve: Is 297476957 c... | english |
numbers: div remainder
----------------------
Query: Calculate the remainder when 1164106 is divided by 57.
Outcome: 52
Query: What is the remainder when 482617 is divided by 482587?
Outcome: 30
Query: What is the remainder when 215 is divided by 98?
Outcome: 19
Query: What is the remainder when 25810 is divided by 223... | english |
numbers: place value
--------------------
Ask: What is the units digit of 45714195?
Output: 5
Ask: What is the thousands digit of 4619?
Output: 4
Ask: What is the units digit of 13126?
Output: 6
Ask: What is the hundreds digit of 22064?
Output: 0
Ask: What is the tens digit of 195?
Output: 9
Ask: What is the hundred mi... | english |
measurement: time
-----------------
Scenario: What is 634 minutes before 10:16 PM?
Clarification: 11:42 AM
Scenario: What is 110 minutes after 9:52 PM?
Clarification: 11:42 PM
Scenario: What is 406 minutes after 11:01 PM?
Clarification: 5:47 AM
Scenario: How many minutes are there between 9:53 PM and 3:14 AM?
Clarifica... | english |
measurement: time
-----------------
Conundrum: How many minutes are there between 3:16 PM and 1:08 AM?
Final Answer: 592
Conundrum: What is 185 minutes after 4:16 AM?
Final Answer: 7:21 AM
Conundrum: What is 620 minutes before 11:00 AM?
Final Answer: 12:40 AM
Conundrum: What is 691 minutes after 11:53 AM?
Final Answer:... | english |
numbers: gcd
------------
Problem: What is the highest common factor of 2130335 and 1590?
Result: 265
Problem: What is the highest common factor of 152 and 266?
Result: 38
Problem: Calculate the greatest common divisor of 14567 and 4299346.
Result: 2081
Problem: What is the greatest common divisor of 55 and 152581?
Res... | english |
numbers: is prime
-----------------
Problem Statement: Is 2302 a composite number?
Conclusion: True
Problem Statement: Is 2862163 a prime number?
Conclusion: True
Problem Statement: Is 971334677 a prime number?
Conclusion: True
Problem Statement: Is 198207833 a composite number?
Conclusion: False
Problem Statement: Is ... | english |
numbers: gcd
------------
Example: What is the greatest common factor of 268 and 2077?
= : 67
Example: What is the greatest common factor of 132560 and 1040?
= : 80
Example: What is the greatest common factor of 44055 and 2035?
= : 55
Example: What is the greatest common divisor of 18853 and 165241?
= : 1109
Example: W... | english |
numbers: place value
--------------------
Request: What is the tens digit of 1490?
Answer: 9
Request: What is the thousands digit of 4131759841?
Answer: 9
Request: What is the units digit of 13612?
Answer: 2
Request: What is the billions digit of 2498328277?
Answer: 2
Request: What is the thousands digit of 326352192?
... | english |
probability: swr p sequence
---------------------------
Subject: Calculate prob of sequence oai when three letters picked without replacement from oaooaajoloi.
Calculation: 1/66
Subject: Calculate prob of sequence clu when three letters picked without replacement from ljcyycuyyylyccyyyly.
Calculation: 2/969
Subject: Ca... | english |
numbers: div remainder
----------------------
Q): What is the remainder when 134116 is divided by 67041?
Soln: 34
Q): Calculate the remainder when 2431087 is divided by 15194.
Soln: 47
Q): Calculate the remainder when 242494 is divided by 1059.
Soln: 1042
Q): What is the remainder when 1142 is divided by 281?
Soln: 18
... | english |
numbers: div remainder
----------------------
Statement: Calculate the remainder when 268 is divided by 38.
Compute: 2
Statement: Calculate the remainder when 3021 is divided by 126.
Compute: 123
Statement: Calculate the remainder when 163 is divided by 33.
Compute: 31
Statement: What is the remainder when 271 is divid... | english |
measurement: time
-----------------
Math Q: What is 197 minutes after 8:35 AM?
Finding: 11:52 AM
Math Q: What is 186 minutes after 10:43 PM?
Finding: 1:49 AM
Math Q: How many minutes are there between 7:55 PM and 4:35 AM?
Finding: 520
Math Q: What is 474 minutes after 9:50 AM?
Finding: 5:44 PM
Math Q: How many minutes ... | english |
numbers: gcd
------------
Challenge: Calculate the highest common divisor of 2831 and 60941.
Workthrough: 149
Challenge: What is the highest common factor of 560 and 1876?
Workthrough: 28
Challenge: What is the highest common factor of 320 and 60?
Workthrough: 20
Challenge: Calculate the greatest common divisor of 3530... | english |
measurement: time
-----------------
Example: What is 432 minutes before 12:42 AM?
Key: 5:30 PM
Example: What is 662 minutes before 3:26 AM?
Key: 4:24 PM
Example: How many minutes are there between 8:59 PM and 2:54 AM?
Key: 355
Example: What is 584 minutes before 5:26 PM?
Key: 7:42 AM
Example: What is 399 minutes after ... | english |
numbers: place value
--------------------
Part A: What is the ten thousands digit of 43520187?
→: 2
Part A: What is the thousands digit of 331960?
→: 1
Part A: What is the tens digit of 289131528?
→: 2
Part A: What is the hundred thousands digit of 1059145?
→: 0
Part A: What is the hundred thousands digit of 1709233?
→... | english |
measurement: conversion
-----------------------
Problem: What is seventy-nine halves of a micrometer in nanometers?
Sol: 39500
Problem: What is 13.019502 months in decades?
Sol: 0.10849585
Problem: How many years are there in 29/5 of a millennium?
Sol: 5800
Problem: What is 5882.56 hours in microseconds?
Sol: 211772160... | english |
numbers: div remainder
----------------------
Input: What is the remainder when 840653 is divided by 622?
Answer: 331
Input: What is the remainder when 5192207 is divided by 1997?
Answer: 7
Input: What is the remainder when 52868 is divided by 85?
Answer: 83
Input: What is the remainder when 8185 is divided by 14?
Answ... | english |
numbers: div remainder
----------------------
Problem: What is the remainder when 3171 is divided by 69?
Workthrough: 66
Problem: Calculate the remainder when 33 is divided by 12.
Workthrough: 9
Problem: What is the remainder when 169 is divided by 31?
Workthrough: 14
Problem: Calculate the remainder when 873 is divide... | english |
numbers: gcd
------------
Situation: What is the highest common factor of 3430 and 560?
Resolution: 70
Situation: What is the greatest common divisor of 1737 and 56356?
Resolution: 193
Situation: What is the highest common divisor of 954 and 3729769?
Resolution: 53
Situation: Calculate the highest common divisor of 152... | english |
numbers: is factor
------------------
Math Problem: Is 25 a factor of 3215?
Resolution: False
Math Problem: Is 59 a factor of 531?
Resolution: True
Math Problem: Does 178 divide 54646?
Resolution: True
Math Problem: Is 3 a factor of 481436553?
Resolution: True
Math Problem: Does 628 divide 103586890?
Resolution: False
... | english |
numbers: is factor
------------------
What if: Does 27 divide 1582227?
Therefore: True
What if: Is 43 a factor of 253875256?
Therefore: False
What if: Does 10 divide 2280?
Therefore: True
What if: Is 9 a factor of 196358985?
Therefore: True
What if: Is 28 a factor of 308?
Therefore: True
What if: Is 117 a factor of 916... | english |
numbers: is prime
-----------------
Item: Is 204190193 a composite number?
Conclusion: False
Item: Is 2484539 composite?
Conclusion: False
Item: Is 227474549 prime?
Conclusion: True
Item: Is 33126124649 composite?
Conclusion: True
Item: Is 228518 a composite number?
Conclusion: True
Item: Is 4001711 a prime number?
Con... | english |
numbers: is prime
-----------------
Challenge: Is 25399 a composite number?
Output: True
Challenge: Is 6628943 a composite number?
Output: False
Challenge: Is 2050567 prime?
Output: True
Challenge: Is 33426041 prime?
Output: False
Challenge: Is 17675767927 composite?
Output: True
Challenge: Is 6778 a prime number?
Outp... | english |
probability: swr p level set
----------------------------
Let: What is prob of picking 1 u and 3 c when four letters picked without replacement from {u: 1, c: 5, k: 3}?
Conclusion: 5/63
Let: What is prob of picking 2 a and 1 z when three letters picked without replacement from aaarzzaaz?
Conclusion: 5/14
Let: What is p... | english |
probability: swr p sequence
---------------------------
Q: Two letters picked without replacement from {p: 8, o: 1, n: 8}. What is prob of sequence pn?
Conclusion: 4/17
Q: What is prob of sequence flfl when four letters picked without replacement from lllflfllllll?
Conclusion: 1/66
Q: Three letters picked without repla... | english |
numbers: div remainder
----------------------
Q: What is the remainder when 2169 is divided by 35?
Calculation: 34
Q: Calculate the remainder when 11854 is divided by 739.
Calculation: 30
Q: Calculate the remainder when 330419 is divided by 110081.
Calculation: 176
Q: Calculate the remainder when 20706 is divided by 29... | english |
numbers: is prime
-----------------
What if: Is 85324591 a prime number?
Soln: False
What if: Is 38646451 a prime number?
Soln: True
What if: Is 13798697 a composite number?
Soln: True
What if: Is 198224149 composite?
Soln: False
What if: Is 209017891 a prime number?
Soln: True
What if: Is 64271 a prime number?
Soln: T... | english |
probability: swr p level set
----------------------------
Inquiry: What is prob of picking 3 d when three letters picked without replacement from {o: 1, h: 2, d: 3, j: 10, p: 1}?
Sol: 1/680
Inquiry: Four letters picked without replacement from qbqqqkqfqiflkiqql. Give prob of picking 1 q, 1 l, and 2 f.
Sol: 4/595
Inquir... | english |
probability: swr p level set
----------------------------
Item: Calculate prob of picking 2 c, 1 r, and 1 t when four letters picked without replacement from ncncctrncpc.
Finding: 1/33
Item: What is prob of picking 1 v, 1 n, 1 x, and 1 k when four letters picked without replacement from {x: 1, s: 3, n: 2, k: 1, l: 1, v... | english |
numbers: place value
--------------------
Challenge: What is the tens digit of 1986815?
= : 1
Challenge: What is the hundreds digit of 92548?
= : 5
Challenge: What is the units digit of 23219313?
= : 3
Challenge: What is the hundred millions digit of 1107237350?
= : 1
Challenge: What is the hundreds digit of 8163?
= : ... | english |
numbers: place value
--------------------
Issue: What is the millions digit of 19059740?
= : 9
Issue: What is the hundreds digit of 2226891?
= : 8
Issue: What is the hundreds digit of 20628?
= : 6
Issue: What is the hundreds digit of 2607596?
= : 5
Issue: What is the hundred thousands digit of 344934715?
= : 9
Issue: W... | english |
numbers: gcd
------------
Let: What is the highest common factor of 4005261 and 26?
Workthrough: 13
Let: Calculate the highest common factor of 19096 and 174265322.
Workthrough: 4774
Let: Calculate the greatest common divisor of 49 and 2989.
Workthrough: 49
Let: Calculate the highest common divisor of 7314 and 644851.
... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is the cube root of 104216 to the nearest integer?
Therefore: 47
Q=: What is the square root of 516345 to the nearest integer?
Therefore: 719
Q=: What is the fifth root of 2823 to the nearest integer?
Therefore: 5
Q=: What is the eighth root of ... | english |
probability: swr p level set
----------------------------
Item: Three letters picked without replacement from {o: 2, h: 2, x: 1, u: 1, k: 1}. Give prob of picking 1 k, 1 x, and 1 h.
Math A: 2/35
Item: What is prob of picking 3 z and 1 w when four letters picked without replacement from {a: 2, w: 4, z: 3}?
Math A: 2/63
... | english |
numbers: is prime
-----------------
Statement: Is 2955283873 prime?
Math A: True
Statement: Is 18315461 composite?
Math A: False
Statement: Is 177999 a composite number?
Math A: True
Statement: Is 2073041 prime?
Math A: True
Statement: Is 5063327 a composite number?
Math A: False
Statement: Is 2053 prime?
Math A: True
... | english |
numbers: is factor
------------------
Problem Statement: Does 15 divide 9430?
Thus: False
Problem Statement: Does 1743 divide 1966104?
Thus: True
Problem Statement: Is 2 a factor of 1094936?
Thus: True
Problem Statement: Is 262258 a multiple of 25?
Thus: False
Problem Statement: Does 107 divide 1716?
Thus: False
Proble... | english |
numbers: is factor
------------------
Problem: Is 279888 a multiple of 49?
Conclusion: True
Problem: Is 2143 a multiple of 23?
Conclusion: False
Problem: Is 26 a factor of 198880552?
Conclusion: True
Problem: Is 3650 a multiple of 50?
Conclusion: True
Problem: Does 3392 divide 200058668?
Conclusion: False
Problem: Is 6... | english |
probability: swr p sequence
---------------------------
Example: Three letters picked without replacement from {b: 4, y: 3, h: 1}. Give prob of sequence yyh.
A.: 1/56
Example: What is prob of sequence sm when two letters picked without replacement from qqmxmsl?
A.: 1/21
Example: Calculate prob of sequence jmqc when fou... | english |
numbers: lcm
------------
Item: Calculate the common denominator of 83/140 and 105/34.
Final Answer: 2380
Item: Calculate the common denominator of 16/11 and 49/19.
Final Answer: 209
Item: What is the common denominator of -111/14 and 39/10?
Final Answer: 70
Item: What is the lowest common multiple of 72 and 74442360?
... | english |
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