text stringlengths 256 2k | language stringclasses 2
values |
|---|---|
measurement: conversion
-----------------------
Task: How many millilitres are there in seventeen quarters of a litre?
Sol: 4250
Task: How many weeks are there in 166.89638 days?
Sol: 23.84234
Task: What is five eighths of a millennium in months?
Sol: 7500
Task: How many millilitres are there in 509761.7 litres?
Sol: 5... | english |
measurement: conversion
-----------------------
Task: What is five eighths of a millimeter in micrometers?
Answer: 625
Task: What is 6/5 of a kilogram in grams?
Answer: 1200
Task: Convert 2121.628 weeks to seconds.
Answer: 1283160614.4
Task: What is 60902.99 decades in years?
Answer: 609029.9
Task: How many months are ... | english |
measurement: time
-----------------
Q): How many minutes are there between 1:19 PM and 10:28 PM?
Explanation: 549
Q): What is 556 minutes after 2:08 AM?
Explanation: 11:24 AM
Q): How many minutes are there between 12:40 AM and 10:35 AM?
Explanation: 595
Q): How many minutes are there between 5:42 AM and 12:42 PM?
Expla... | english |
arithmetic: nearest integer root
--------------------------------
Request: What is the cube root of 2492609383 to the nearest integer?
Answer: 1356
Request: What is the cube root of 1839420 to the nearest integer?
Answer: 123
Request: What is the cube root of 5727 to the nearest integer?
Answer: 18
Request: What is 198... | english |
arithmetic: nearest integer root
--------------------------------
Inquiry: What is the third root of 2117862 to the nearest integer?
Compute: 128
Inquiry: What is the cube root of 98127 to the nearest integer?
Compute: 46
Inquiry: What is 3550024 to the power of 1/3, to the nearest integer?
Compute: 153
Inquiry: What i... | english |
numbers: div remainder
----------------------
Case: Calculate the remainder when 224 is divided by 19.
Response: 15
Case: Calculate the remainder when 881016 is divided by 2270.
Response: 256
Case: Calculate the remainder when 842881 is divided by 63.
Response: 4
Case: What is the remainder when 1032186 is divided by 6... | english |
probability: swr p sequence
---------------------------
Let: Calculate prob of sequence kk when two letters picked without replacement from ggkggkggggg.
Eval: 1/55
Let: What is prob of sequence xxox when four letters picked without replacement from xxxxooxoxoxoxoxxooo?
Eval: 45/646
Let: Two letters picked without repla... | english |
numbers: place value
--------------------
Qn: What is the tens digit of 73606529?
Fix: 2
Qn: What is the hundred thousands digit of 238075?
Fix: 2
Qn: What is the hundreds digit of 392193652?
Fix: 6
Qn: What is the ten thousands digit of 73396?
Fix: 7
Qn: What is the ten thousands digit of 180452?
Fix: 8
Qn: What is th... | english |
arithmetic: nearest integer root
--------------------------------
Situation: What is 46615173 to the power of 1/4, to the nearest integer?
Solution: 83
Situation: What is the eighth root of 29120223 to the nearest integer?
Solution: 9
Situation: What is 29634780 to the power of 1/3, to the nearest integer?
Solution: 30... | english |
probability: swr p level set
----------------------------
Situation: Two letters picked without replacement from {b: 14, p: 5}. Give prob of picking 1 p and 1 b.
Soln: 70/171
Situation: Four letters picked without replacement from {q: 2, o: 2, v: 7, h: 4, k: 2, p: 2}. Give prob of picking 1 k, 1 p, and 2 h.
Soln: 2/323... | english |
probability: swr p sequence
---------------------------
Qn: What is prob of sequence iy when two letters picked without replacement from {v: 1, y: 1, x: 1, i: 1, s: 1}?
Response: 1/20
Qn: Four letters picked without replacement from {b: 3, c: 1, h: 6, j: 5}. Give prob of sequence jhbb.
Response: 1/182
Qn: Calculate pro... | english |
measurement: conversion
-----------------------
Example: Convert 0.662653 minutes to microseconds.
Eval: 39759180
Example: How many litres are there in 905.8276ml?
Eval: 0.9058276
Example: How many nanoseconds are there in 1/5 of a microsecond?
Eval: 200
Example: How many months are there in 5026.703 decades?
Eval: 603... | english |
arithmetic: nearest integer root
--------------------------------
Subject: What is the seventh root of 1455901 to the nearest integer?
Soln: 8
Subject: What is the cube root of 24603793 to the nearest integer?
Soln: 291
Subject: What is 216 to the power of 1/2, to the nearest integer?
Soln: 15
Subject: What is the cube... | english |
probability: swr p sequence
---------------------------
Problem: Two letters picked without replacement from {u: 2, k: 1, p: 6, m: 2}. What is prob of sequence pp?
Gives: 3/11
Problem: Four letters picked without replacement from kjkdjtj. Give prob of sequence jktj.
Gives: 1/70
Problem: Three letters picked without rep... | english |
measurement: time
-----------------
Conundrum: How many minutes are there between 2:42 PM and 2:31 AM?
Interpretation: 709
Conundrum: What is 485 minutes before 8:18 AM?
Interpretation: 12:13 AM
Conundrum: What is 568 minutes before 7:53 PM?
Interpretation: 10:25 AM
Conundrum: What is 56 minutes after 4:07 PM?
Interpre... | english |
numbers: div remainder
----------------------
Subject: What is the remainder when 23 is divided by 2?
A: 1
Subject: What is the remainder when 730879 is divided by 397?
A: 2
Subject: What is the remainder when 1049 is divided by 70?
A: 69
Subject: What is the remainder when 35685 is divided by 2377?
A: 30
Subject: What... | english |
numbers: is factor
------------------
Scenario: Is 728 a factor of 11190518?
Gives: False
Scenario: Does 69 divide 35427?
Gives: False
Scenario: Does 7 divide 355894?
Gives: True
Scenario: Is 64814000 a multiple of 2540?
Gives: False
Scenario: Is 4 a factor of 572?
Gives: True
Scenario: Is 27412051 a multiple of 139?
G... | english |
probability: swr p level set
----------------------------
Ask: Four letters picked without replacement from {e: 5, z: 4, q: 1}. What is prob of picking 2 e and 2 z?
Solution: 2/7
Ask: Four letters picked without replacement from kvwhvvwvwsv. What is prob of picking 1 h, 2 v, and 1 w?
Solution: 1/11
Ask: Three letters p... | english |
numbers: place value
--------------------
Example: What is the hundreds digit of 8275?
Sol: 2
Example: What is the hundreds digit of 21675?
Sol: 6
Example: What is the hundreds digit of 131278?
Sol: 2
Example: What is the hundreds digit of 838806?
Sol: 8
Example: What is the hundreds digit of 4244?
Sol: 2
Example: What... | english |
numbers: lcm
------------
Test item: What is the common denominator of 19/211084 and -13/40?
Result: 2110840
Test item: Calculate the common denominator of 41/95 and -37/917.
Result: 87115
Test item: Calculate the common denominator of 50/31 and 24.
Result: 31
Test item: Calculate the least common multiple of 2 and 107... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is the cube root of 141643911 to the nearest integer?
Response: 521
Ask: What is 178132074 to the power of 1/3, to the nearest integer?
Response: 563
Ask: What is the square root of 75806256 to the nearest integer?
Response: 8707
Ask: What is 6... | english |
probability: swr p level set
----------------------------
Example: Three letters picked without replacement from kkqkkkkkkkqq. What is prob of picking 2 k and 1 q?
Response: 27/55
Example: Four letters picked without replacement from prrrtrrptpp. Give prob of picking 1 r and 3 p.
Response: 2/33
Example: Two letters pic... | english |
numbers: list prime factors
---------------------------
Challenge: What are the prime factors of 40555133?
Clarification: 40555133
Challenge: What are the prime factors of 12367?
Clarification: 83, 149
Challenge: List the prime factors of 426071.
Clarification: 17, 71, 353
Challenge: List the prime factors of 811648.
C... | english |
numbers: place value
--------------------
Subquestion: What is the ten thousands digit of 1436474?
Soln: 3
Subquestion: What is the hundreds digit of 210453?
Soln: 4
Subquestion: What is the ten thousands digit of 1153212?
Soln: 5
Subquestion: What is the hundred thousands digit of 24462633?
Soln: 4
Subquestion: What i... | english |
numbers: is factor
------------------
Item: Is 89741 a multiple of 4?
Solution: False
Item: Is 271 a factor of 136768?
Solution: False
Item: Is 255536250 a multiple of 415?
Solution: True
Item: Is 16 a factor of 1051?
Solution: False
Item: Is 1659522 a multiple of 9?
Solution: False
Item: Does 186 divide 2382260?
Solut... | english |
numbers: gcd
------------
Q.: What is the greatest common factor of 50457078 and 68103?
Hence: 1449
Q.: Calculate the greatest common factor of 28 and 952.
Hence: 28
Q.: Calculate the greatest common divisor of 15 and 1195.
Hence: 5
Q.: What is the greatest common factor of 756 and 8366796?
Hence: 36
Q.: What is the hi... | english |
numbers: lcm
------------
Let us solve: Calculate the least common multiple of 1026 and 1026.
Calculation: 1026
Let us solve: Find the common denominator of -92/15 and 46/33957.
Calculation: 169785
Let us solve: What is the lowest common multiple of 30 and 3949910?
Calculation: 11849730
Let us solve: Calculate the leas... | english |
numbers: is factor
------------------
Statement: Is 385 a factor of 47484360?
Solution: True
Statement: Is 2 a factor of 31?
Solution: False
Statement: Is 701 a multiple of 52?
Solution: False
Statement: Does 82 divide 9091258?
Solution: True
Statement: Is 671 a factor of 99306658?
Solution: True
Statement: Is 1583 a f... | english |
probability: swr p level set
----------------------------
Step: Two letters picked without replacement from lzllllll. Give prob of picking 2 l.
Interpretation: 3/4
Step: What is prob of picking 1 v, 1 h, and 1 b when three letters picked without replacement from {v: 1, y: 2, t: 2, h: 1, b: 1}?
Interpretation: 1/35
Step... | english |
numbers: place value
--------------------
Situation: What is the thousands digit of 385758040?
Answer: 8
Situation: What is the ten millions digit of 4237579473?
Answer: 3
Situation: What is the hundreds digit of 14110398?
Answer: 3
Situation: What is the millions digit of 641565323?
Answer: 1
Situation: What is the mi... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 24241416 to the power of 1/9, to the nearest integer?
Result: 7
Ask: What is 7211573 to the power of 1/6, to the nearest integer?
Result: 14
Ask: What is the third root of 1432 to the nearest integer?
Result: 11
Ask: What is the square root ... | english |
numbers: is prime
-----------------
Ask: Is 11810999 prime?
Finding: True
Ask: Is 1485663 composite?
Finding: True
Ask: Is 2885977 prime?
Finding: True
Ask: Is 3821 prime?
Finding: True
Ask: Is 550499 prime?
Finding: False
Ask: Is 25777 composite?
Finding: True
Ask: Is 3240975541 prime?
Finding: True
Ask: Is 420253 pri... | english |
numbers: is factor
------------------
Given: Is 56 a factor of 231504?
Resolution: True
Given: Is 353447031 a multiple of 1257?
Resolution: True
Given: Is 1091 a factor of 49095990?
Resolution: False
Given: Does 506 divide 3929795?
Resolution: False
Given: Is 39 a factor of 42390387?
Resolution: True
Given: Does 78 div... | english |
probability: swr p level set
----------------------------
Subject: Three letters picked without replacement from yskxf. What is prob of picking 1 k, 1 x, and 1 s?
Eval: 1/10
Subject: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {p: 2, l: 1, g: 1, b: 1, r: 1, m: 1}.
Eval: 2/21
S... | english |
numbers: div remainder
----------------------
Situation: What is the remainder when 1894 is divided by 133?
Conclusion: 32
Situation: What is the remainder when 221690 is divided by 300?
Conclusion: 290
Situation: What is the remainder when 2814481 is divided by 327?
Conclusion: 319
Situation: Calculate the remainder w... | english |
numbers: div remainder
----------------------
Prompt: What is the remainder when 21811 is divided by 7?
Compute: 6
Prompt: What is the remainder when 84 is divided by 4?
Compute: 0
Prompt: What is the remainder when 106078 is divided by 100?
Compute: 78
Prompt: Calculate the remainder when 31355 is divided by 7744.
Com... | english |
measurement: conversion
-----------------------
Math Q: How many millilitres are there in 4.671667 litres?
Finding: 4671.667
Math Q: How many micrograms are there in 5987.852 milligrams?
Finding: 5987852
Math Q: Convert 3453.515us to milliseconds.
Finding: 3.453515
Math Q: How many millilitres are there in 7/4 of a lit... | english |
probability: swr p level set
----------------------------
Statement: Four letters picked without replacement from {x: 12, i: 3, l: 1}. Give prob of picking 2 i, 1 x, and 1 l.
Thus: 9/455
Statement: Calculate prob of picking 1 n, 2 u, and 1 f when four letters picked without replacement from nfuufff.
Thus: 4/35
Statemen... | english |
numbers: is factor
------------------
Question: Is 5448798 a multiple of 12?
Therefore: False
Question: Is 682 a multiple of 31?
Therefore: True
Question: Is 231345 a multiple of 97?
Therefore: True
Question: Is 430701525 a multiple of 6225?
Therefore: True
Question: Is 191 a factor of 17878?
Therefore: False
Question:... | english |
numbers: is factor
------------------
Subject: Is 295 a factor of 81946?
Workthrough: False
Subject: Does 253 divide 38883?
Workthrough: False
Subject: Is 13 a factor of 223?
Workthrough: False
Subject: Does 31 divide 217?
Workthrough: True
Subject: Is 17916 a multiple of 12?
Workthrough: True
Subject: Does 7 divide 66... | english |
numbers: div remainder
----------------------
Q.: What is the remainder when 10687 is divided by 821?
Steps: 14
Q.: Calculate the remainder when 2881 is divided by 11.
Steps: 10
Q.: What is the remainder when 7211 is divided by 3572?
Steps: 67
Q.: Calculate the remainder when 332291 is divided by 1288.
Steps: 1275
Q.: ... | english |
numbers: is prime
-----------------
Scenario: Is 101327 prime?
A: False
Scenario: Is 183871 composite?
A: False
Scenario: Is 17604418511 prime?
A: False
Scenario: Is 5157607957 a prime number?
A: True
Scenario: Is 2786545351 prime?
A: True
Scenario: Is 1500013 a prime number?
A: False
Scenario: Is 358871 a prime number... | english |
numbers: is factor
------------------
Subquestion: Does 10 divide 211840?
Fix: True
Subquestion: Does 1410 divide 54997050?
Fix: True
Subquestion: Is 1942 a multiple of 13?
Fix: False
Subquestion: Is 965 a multiple of 12?
Fix: False
Subquestion: Does 25 divide 451875?
Fix: True
Subquestion: Does 13 divide 91?
Fix: True... | english |
arithmetic: nearest integer root
--------------------------------
Math Q: What is the cube root of 1428485603 to the nearest integer?
Sol: 1126
Math Q: What is 404110 to the power of 1/7, to the nearest integer?
Sol: 6
Math Q: What is 49546 to the power of 1/6, to the nearest integer?
Sol: 6
Math Q: What is 2536 to the... | english |
arithmetic: nearest integer root
--------------------------------
Query: What is the fifth root of 1115972 to the nearest integer?
Calculation: 16
Query: What is 139994909 to the power of 1/9, to the nearest integer?
Calculation: 8
Query: What is the square root of 2994557 to the nearest integer?
Calculation: 1730
Quer... | english |
numbers: is prime
-----------------
Subject: Is 87287 a prime number?
Answer: False
Subject: Is 6332514833 a composite number?
Answer: False
Subject: Is 313927 a prime number?
Answer: False
Subject: Is 418981 a prime number?
Answer: True
Subject: Is 18637 a composite number?
Answer: False
Subject: Is 12179 composite?
A... | english |
probability: swr p sequence
---------------------------
Math Q: What is prob of sequence enn when three letters picked without replacement from {n: 17, e: 1}?
Thus: 1/18
Math Q: What is prob of sequence cee when three letters picked without replacement from {g: 2, w: 4, c: 1, e: 6}?
Thus: 5/286
Math Q: What is prob of ... | english |
probability: swr p level set
----------------------------
Task: What is prob of picking 2 g and 1 e when three letters picked without replacement from ttetgggt?
Calculation: 3/56
Task: Calculate prob of picking 2 w when two letters picked without replacement from wlnnnww.
Calculation: 1/7
Task: What is prob of picking ... | english |
numbers: gcd
------------
Example: Calculate the greatest common divisor of 12342 and 60934269.
Solution: 363
Example: Calculate the highest common factor of 52768397 and 33.
Solution: 11
Example: Calculate the highest common divisor of 108944 and 11142.
Solution: 1238
Example: Calculate the greatest common divisor of ... | english |
numbers: div remainder
----------------------
Problem #: Calculate the remainder when 602 is divided by 14.
Outcome: 0
Problem #: Calculate the remainder when 6353 is divided by 904.
Outcome: 25
Problem #: What is the remainder when 13 is divided by 6?
Outcome: 1
Problem #: What is the remainder when 6043 is divided by... | english |
numbers: is factor
------------------
Task: Does 92 divide 22493?
Compute: False
Task: Is 6621 a multiple of 18?
Compute: False
Task: Is 23133584 a multiple of 23?
Compute: True
Task: Does 43 divide 531333069?
Compute: True
Task: Is 306 a multiple of 9?
Compute: True
Task: Is 8 a factor of 8?
Compute: True
Task: Is 11 ... | english |
numbers: div remainder
----------------------
Let us solve: Calculate the remainder when 266879 is divided by 133424.
Result: 31
Let us solve: Calculate the remainder when 74011 is divided by 1805.
Result: 6
Let us solve: What is the remainder when 6601 is divided by 18?
Result: 13
Let us solve: What is the remainder w... | english |
arithmetic: nearest integer root
--------------------------------
Puzzle: What is 3439 to the power of 1/10, to the nearest integer?
Workthrough: 2
Puzzle: What is the fourth root of 8980155 to the nearest integer?
Workthrough: 55
Puzzle: What is the third root of 52710210 to the nearest integer?
Workthrough: 375
Puzzl... | english |
numbers: is prime
-----------------
Statement: Is 632747 a prime number?
Solution: True
Statement: Is 136717 a composite number?
Solution: True
Statement: Is 4853 a prime number?
Solution: False
Statement: Is 999005939 composite?
Solution: False
Statement: Is 29070647 a prime number?
Solution: True
Statement: Is 33107 ... | english |
probability: swr p level set
----------------------------
Ask: Calculate prob of picking 2 a and 1 g when three letters picked without replacement from {g: 4, a: 4, h: 7, w: 3}.
= : 1/34
Ask: What is prob of picking 1 n, 1 u, and 1 z when three letters picked without replacement from suzsnzunnunzzuuuzz?
= : 3/17
Ask: W... | english |
numbers: place value
--------------------
Task: What is the hundred thousands digit of 122785?
Solution: 1
Task: What is the tens digit of 14360?
Solution: 6
Task: What is the units digit of 8389484?
Solution: 4
Task: What is the hundreds digit of 17195?
Solution: 1
Task: What is the tens digit of 116662?
Solution: 6
T... | english |
numbers: gcd composed
---------------------
Problem Statement: Let o be (-1)/(2/8*3/(-6)). Suppose -y - o = -5*y. Suppose -y*z + 268 = 58. What is the highest common divisor of 42 and z?
Calculation: 21
Problem Statement: Let r = 24 + 16. Let h(w) = -w**2 - w. Let k be h(-1). Suppose 4*x = 5*p + 52, k = -3*x + 4*p + 25... | english |
numbers: place value
--------------------
Math Problem: What is the units digit of 61028458?
Result: 8
Math Problem: What is the hundreds digit of 368?
Result: 3
Math Problem: What is the ten millions digit of 640423271?
Result: 4
Math Problem: What is the units digit of 58757636?
Result: 6
Math Problem: What is the te... | english |
measurement: conversion
-----------------------
Ask: How many millilitres are there in 579.0434l?
Clarification: 579043.4
Ask: How many millilitres are there in 26929.65 litres?
Clarification: 26929650
Ask: Convert 10.5511 centuries to millennia.
Clarification: 1.05511
Ask: How many kilometers are there in 839.1125 mil... | english |
numbers: place value
--------------------
Subquestion: What is the hundreds digit of 252188?
Soln: 1
Subquestion: What is the units digit of 17942?
Soln: 2
Subquestion: What is the ten thousands digit of 38580181?
Soln: 8
Subquestion: What is the millions digit of 12711941?
Soln: 2
Subquestion: What is the hundreds dig... | english |
numbers: is factor
------------------
Given: Is 3864829287 a multiple of 60?
Final Answer: False
Given: Is 180334 a multiple of 593?
Final Answer: False
Given: Is 193 a multiple of 6?
Final Answer: False
Given: Is 126350 a multiple of 19?
Final Answer: True
Given: Is 38859 a multiple of 69?
Final Answer: False
Given: I... | english |
probability: swr p level set
----------------------------
Q: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from {s: 1, z: 19}.
Result: 3/20
Q: Three letters picked without replacement from {u: 6, c: 1, p: 4}. Give prob of picking 1 p, 1 c, and 1 u.
Result: 8/55
Q: Calculate prob of... | english |
numbers: place value
--------------------
Q: What is the billions digit of 1452052032?
Ans: 1
Q: What is the hundreds digit of 4519737?
Ans: 7
Q: What is the tens digit of 5730?
Ans: 3
Q: What is the hundreds digit of 1908506740?
Ans: 7
Q: What is the ten millions digit of 229563293?
Ans: 2
Q: What is the ten millions ... | english |
measurement: time
-----------------
Problem: How many minutes are there between 1:29 AM and 12:57 PM?
Steps: 688
Problem: What is 421 minutes before 8:30 PM?
Steps: 1:29 PM
Problem: How many minutes are there between 8:21 PM and 2:16 AM?
Steps: 355
Problem: How many minutes are there between 2:05 AM and 7:01 AM?
Steps:... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is the square root of 7562256 to the nearest integer?
Hence: 2750
Given: What is the third root of 927002 to the nearest integer?
Hence: 98
Given: What is 191578116 to the power of 1/2, to the nearest integer?
Hence: 13841
Given: What is 1049... | english |
numbers: gcd
------------
Subject: What is the greatest common factor of 78 and 379860?
Gives: 78
Subject: What is the greatest common divisor of 6865274 and 13?
Gives: 13
Subject: Calculate the greatest common divisor of 525 and 12938877.
Gives: 21
Subject: What is the highest common divisor of 1475877 and 205?
Gives:... | english |
numbers: gcd
------------
Given: What is the greatest common factor of 1014 and 6?
Explanation: 6
Given: What is the highest common divisor of 15 and 48?
Explanation: 3
Given: What is the greatest common factor of 432 and 28464?
Explanation: 48
Given: Calculate the greatest common factor of 550652 and 17719.
Explanatio... | english |
measurement: conversion
-----------------------
Problem #: What is 106971.8cm in meters?
Sol: 1069.718
Problem #: How many millilitres are there in 3/8 of a litre?
Sol: 375
Problem #: What is 27/5 of a day in minutes?
Sol: 7776
Problem #: What is 2/75 of a hour in milliseconds?
Sol: 96000
Problem #: Convert 579.6547g t... | english |
numbers: is factor
------------------
Subject: Is 34 a factor of 37036?
Outcome: False
Subject: Does 42 divide 58086?
Outcome: True
Subject: Is 23210 a multiple of 95?
Outcome: False
Subject: Is 870563841 a multiple of 368?
Outcome: False
Subject: Does 48 divide 106050113?
Outcome: False
Subject: Is 591599869 a multipl... | english |
numbers: place value
--------------------
Let us solve: What is the tens digit of 14767?
Output: 6
Let us solve: What is the millions digit of 410700533?
Output: 0
Let us solve: What is the hundreds digit of 96046?
Output: 0
Let us solve: What is the units digit of 2063888?
Output: 8
Let us solve: What is the hundred m... | english |
numbers: div remainder
----------------------
Issue: Calculate the remainder when 841 is divided by 588.
Calculation: 253
Issue: Calculate the remainder when 2273 is divided by 65.
Calculation: 63
Issue: What is the remainder when 359 is divided by 9?
Calculation: 8
Issue: Calculate the remainder when 159 is divided by... | english |
measurement: time
-----------------
Prompt: How many minutes are there between 7:42 AM and 6:46 PM?
Sol: 664
Prompt: How many minutes are there between 6:21 PM and 6:08 AM?
Sol: 707
Prompt: How many minutes are there between 3:09 PM and 9:03 PM?
Sol: 354
Prompt: What is 345 minutes after 8:57 AM?
Sol: 2:42 PM
Prompt: W... | english |
numbers: is prime
-----------------
Given: Is 17957 composite?
Math A: False
Given: Is 261071 prime?
Math A: True
Given: Is 238883 a composite number?
Math A: False
Given: Is 2318018341 composite?
Math A: False
Given: Is 38113 composite?
Math A: False
Given: Is 37578076563 a composite number?
Math A: True
Given: Is 381... | english |
numbers: div remainder
----------------------
Item: Calculate the remainder when 4265 is divided by 693.
Ans: 107
Item: What is the remainder when 515 is divided by 32?
Ans: 3
Item: Calculate the remainder when 1055 is divided by 20.
Ans: 15
Item: Calculate the remainder when 4185 is divided by 1036.
Ans: 41
Item: What... | english |
numbers: is prime
-----------------
Given: Is 76543814663 composite?
Output: True
Given: Is 10581 prime?
Output: False
Given: Is 290512289939 prime?
Output: False
Given: Is 730741091 a composite number?
Output: False
Given: Is 3534073 prime?
Output: False
Given: Is 64901 a composite number?
Output: False
Given: Is 7888... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the ninth root of 4242877437 to the nearest integer?
Resolution: 12
Example: What is 16935 to the power of 1/2, to the nearest integer?
Resolution: 130
Example: What is 635957 to the power of 1/4, to the nearest integer?
Resolution: 28
E... | english |
numbers: gcd
------------
Let: Calculate the greatest common divisor of 674487 and 2079.
Derivation: 297
Let: What is the highest common factor of 20972898 and 90585?
Derivation: 1647
Let: Calculate the greatest common factor of 825 and 3024675.
Derivation: 75
Let: Calculate the greatest common factor of 1158536459 and... | english |
arithmetic: nearest integer root
--------------------------------
Statement: What is 13622 to the power of 1/6, to the nearest integer?
Outcome: 5
Statement: What is 1952 to the power of 1/3, to the nearest integer?
Outcome: 12
Statement: What is the cube root of 1171746 to the nearest integer?
Outcome: 105
Statement: ... | english |
measurement: time
-----------------
Qn: What is 623 minutes after 8:09 AM?
Conclusion: 6:32 PM
Qn: How many minutes are there between 1:53 PM and 12:10 AM?
Conclusion: 617
Qn: What is 559 minutes before 12:28 PM?
Conclusion: 3:09 AM
Qn: What is 264 minutes after 6:30 AM?
Conclusion: 10:54 AM
Qn: What is 709 minutes aft... | english |
measurement: conversion
-----------------------
Problem: What is 4.826235 months in millennia?
Therefore: 0.00040218625
Problem: What is six fifths of a decade in months?
Therefore: 144
Problem: What is seven halves of a litre in millilitres?
Therefore: 3500
Problem: What is 1/10 of a tonne in grams?
Therefore: 100000
... | english |
measurement: conversion
-----------------------
Given: Convert 1.620826ng to tonnes.
Explanation: 0.000000000000001620826
Given: What is 25.48059 kilograms in milligrams?
Explanation: 25480590
Given: How many months are there in one quarter of a millennium?
Explanation: 3000
Given: What is 1/10 of a kilometer in meters... | english |
numbers: div remainder
----------------------
Query: What is the remainder when 2231067 is divided by 62?
Math A: 59
Query: What is the remainder when 2155 is divided by 22?
Math A: 21
Query: What is the remainder when 90 is divided by 7?
Math A: 6
Query: What is the remainder when 20657 is divided by 111?
Math A: 11
Q... | english |
measurement: time
-----------------
Problem #: What is 520 minutes after 8:15 PM?
Key: 4:55 AM
Problem #: How many minutes are there between 9:28 PM and 10:20 PM?
Key: 52
Problem #: How many minutes are there between 5:51 AM and 11:16 AM?
Key: 325
Problem #: How many minutes are there between 9:22 AM and 3:49 PM?
Key: ... | english |
probability: swr p level set
----------------------------
Task: Calculate prob of picking 3 h when three letters picked without replacement from {i: 2, h: 7, x: 4}.
Eval: 35/286
Task: Calculate prob of picking 3 y when three letters picked without replacement from {e: 7, y: 3}.
Eval: 1/120
Task: Calculate prob of picki... | english |
numbers: place value
--------------------
Given: What is the tens digit of 75?
Sol: 7
Given: What is the thousands digit of 1419244?
Sol: 9
Given: What is the hundred thousands digit of 406847154?
Sol: 8
Given: What is the units digit of 15539?
Sol: 9
Given: What is the units digit of 863843432?
Sol: 2
Given: What is t... | english |
measurement: conversion
-----------------------
Let us solve: How many centimeters are there in thirty-two fifths of a meter?
Finding: 640
Let us solve: How many years are there in seven halves of a decade?
Finding: 35
Let us solve: What is 0.1754701 micrometers in kilometers?
Finding: 0.0000000001754701
Let us solve: ... | english |
numbers: place value
--------------------
Ask: What is the hundreds digit of 2821000?
Response: 0
Ask: What is the ten thousands digit of 31275?
Response: 3
Ask: What is the thousands digit of 3547?
Response: 3
Ask: What is the hundreds digit of 362?
Response: 3
Ask: What is the thousands digit of 1532744512?
Response:... | english |
measurement: time
-----------------
Problem Statement: What is 4 minutes after 5:04 AM?
A.: 5:08 AM
Problem Statement: How many minutes are there between 1:39 PM and 10:34 PM?
A.: 535
Problem Statement: How many minutes are there between 6:59 PM and 2:11 AM?
A.: 432
Problem Statement: What is 586 minutes before 1:42 PM... | english |
numbers: lcm
------------
Scenario: Calculate the least common multiple of 378 and 378.
Clarification: 378
Scenario: What is the common denominator of 17/765687 and -65/39266?
Clarification: 1531374
Scenario: Calculate the lowest common multiple of 301 and 344.
Clarification: 2408
Scenario: What is the least common mul... | english |
probability: swr p sequence
---------------------------
Puzzle: Four letters picked without replacement from {k: 7, m: 3}. What is prob of sequence kkmm?
Soln: 1/20
Puzzle: Four letters picked without replacement from {m: 1, r: 1, b: 2, l: 2, u: 1}. What is prob of sequence blrl?
Soln: 1/210
Puzzle: Three letters picke... | english |
probability: swr p level set
----------------------------
Q: What is prob of picking 1 k, 1 s, and 1 v when three letters picked without replacement from {a: 3, o: 1, s: 2, v: 2, k: 2, p: 2}?
Result: 2/55
Q: Three letters picked without replacement from xmmmmxmmmxmxmmimmmxm. What is prob of picking 1 i and 2 x?
Result:... | english |
probability: swr p sequence
---------------------------
Challenge: Calculate prob of sequence nkx when three letters picked without replacement from xknhkhdj.
Hence: 1/168
Challenge: Four letters picked without replacement from {o: 9, j: 3, f: 7}. Give prob of sequence jooj.
Hence: 3/646
Challenge: What is prob of sequ... | english |
measurement: conversion
-----------------------
Subject: What is 1/10 of a decade in years?
Steps: 1
Subject: Convert 3719.094ml to litres.
Steps: 3.719094
Subject: Convert 926.5625m to kilometers.
Steps: 0.9265625
Subject: What is 619.5503mg in micrograms?
Steps: 619550.3
Subject: How many seconds are there in four th... | english |
probability: swr p sequence
---------------------------
Ask: Calculate prob of sequence cu when two letters picked without replacement from {c: 1, u: 7}.
Thus: 1/8
Ask: What is prob of sequence iqb when three letters picked without replacement from {b: 2, q: 9, n: 1, i: 7}?
Thus: 7/323
Ask: Two letters picked without r... | english |
numbers: div remainder
----------------------
Subject: Calculate the remainder when 7572 is divided by 1080.
Explanation: 12
Subject: What is the remainder when 262 is divided by 84?
Explanation: 10
Subject: What is the remainder when 574 is divided by 64?
Explanation: 62
Subject: What is the remainder when 3671 is div... | english |
numbers: lcm
------------
Situation: What is the smallest common multiple of 122 and 305?
Derivation: 610
Situation: What is the common denominator of 63/22298 and 9/111490?
Derivation: 111490
Situation: What is the common denominator of 44/35 and -9/200?
Derivation: 1400
Situation: Calculate the common denominator of ... | english |
probability: swr p sequence
---------------------------
Conundrum: Calculate prob of sequence nc when two letters picked without replacement from {c: 7, n: 9}.
→: 21/80
Conundrum: Calculate prob of sequence pa when two letters picked without replacement from {n: 1, m: 1, a: 1, h: 1, p: 1}.
→: 1/20
Conundrum: Three lett... | english |
measurement: conversion
-----------------------
Problem #: What is 1/20 of a litre in millilitres?
Sol: 50
Problem #: What is one fifth of a gram in milligrams?
Sol: 200
Problem #: What is 0.1749572 litres in millilitres?
Sol: 174.9572
Problem #: Convert 22319.71 years to millennia.
Sol: 22.31971
Problem #: How many mi... | english |
probability: swr p sequence
---------------------------
Qn: Calculate prob of sequence qeqq when four letters picked without replacement from {q: 9, d: 1, e: 10}.
Steps: 14/323
Qn: Two letters picked without replacement from xxxbbxvxlvlvxvxlvvv. What is prob of sequence bb?
Steps: 1/171
Qn: Three letters picked without... | english |
probability: swr p sequence
---------------------------
Case: Calculate prob of sequence hb when two letters picked without replacement from {b: 3, v: 6, h: 1, w: 4}.
Interpretation: 3/182
Case: Four letters picked without replacement from uhhhhgtx. Give prob of sequence hghx.
Interpretation: 1/140
Case: What is prob o... | english |
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