text stringlengths 256 2k | language stringclasses 2
values |
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numbers: is factor
------------------
What if: Is 850 a multiple of 34?
Therefore: True
What if: Is 144 a factor of 21744?
Therefore: True
What if: Is 16063 a multiple of 14?
Therefore: False
What if: Is 52394 a multiple of 134?
Therefore: True
What if: Is 185 a factor of 765984175?
Therefore: True
What if: Is 311 a fa... | english |
numbers: gcd
------------
Conundrum: What is the greatest common divisor of 9 and 1300833?
Workthrough: 9
Conundrum: What is the highest common factor of 19552 and 39?
Workthrough: 13
Conundrum: Calculate the greatest common factor of 99 and 149859.
Workthrough: 9
Conundrum: What is the greatest common factor of 208581... | english |
numbers: is factor
------------------
Math Q: Is 496428 a multiple of 23?
Calculation: False
Math Q: Does 574 divide 2070418?
Calculation: True
Math Q: Is 708 a factor of 79805?
Calculation: False
Math Q: Does 14874 divide 5893956366?
Calculation: True
Math Q: Is 357398229 a multiple of 199?
Calculation: True
Math Q: I... | english |
measurement: conversion
-----------------------
Problem Statement: How many centimeters are there in 3/25 of a meter?
→: 12
Problem Statement: Convert 29.43728 minutes to milliseconds.
→: 1766236.8
Problem Statement: What is thirty-seven halves of a litre in millilitres?
→: 18500
Problem Statement: What is 26/5 of a li... | english |
numbers: is factor
------------------
Subquestion: Is 65 a factor of 3510?
Yields: True
Subquestion: Is 28 a factor of 216711824?
Yields: True
Subquestion: Is 15 a factor of 2054985?
Yields: True
Subquestion: Is 4624016916 a multiple of 31?
Yields: True
Subquestion: Does 11 divide 28405796?
Yields: False
Subquestion: I... | english |
numbers: lcm
------------
Math Problem: What is the common denominator of 107/5506782 and 3/2845?
Interpretation: 27533910
Math Problem: Calculate the common denominator of -7/5542806 and 23/366.
Interpretation: 338111166
Math Problem: What is the common denominator of -173/1080 and -8/435?
Interpretation: 31320
Math P... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 42978 is divided by 20352?
Soln: 2274
Example: Calculate the remainder when 1518 is divided by 54.
Soln: 6
Example: What is the remainder when 267 is divided by 18?
Soln: 15
Example: What is the remainder when 3146 is divided by 529?
Soln... | english |
numbers: gcd
------------
Subject: What is the greatest common factor of 492515 and 2055?
Compute: 685
Subject: What is the highest common divisor of 1726716 and 4366?
Compute: 74
Subject: What is the highest common factor of 3 and 242007?
Compute: 3
Subject: What is the greatest common factor of 62 and 9335402?
Comput... | english |
numbers: is factor
------------------
Let us solve: Is 13 a factor of 714592?
Calculation: False
Let us solve: Is 3591144 a multiple of 72?
Calculation: True
Let us solve: Is 133074 a multiple of 39?
Calculation: False
Let us solve: Is 843 a multiple of 20?
Calculation: False
Let us solve: Is 1041 a factor of 686145?
C... | english |
numbers: gcd
------------
Inquiry: Calculate the highest common divisor of 384 and 78.
Response: 6
Inquiry: Calculate the greatest common divisor of 1528 and 702068632.
Response: 1528
Inquiry: Calculate the highest common divisor of 261459 and 2608947.
Response: 1881
Inquiry: Calculate the greatest common divisor of 37... | english |
numbers: is prime
-----------------
Subject: Is 8896651 prime?
Soln: True
Subject: Is 111295507 a prime number?
Soln: True
Subject: Is 34144044287 a composite number?
Soln: False
Subject: Is 206373103 prime?
Soln: False
Subject: Is 8818163 prime?
Soln: True
Subject: Is 369015834761 a prime number?
Soln: False
Subject: ... | english |
measurement: conversion
-----------------------
Qn: How many nanograms are there in 588415.6mg?
Solution: 588415600000
Qn: How many millilitres are there in 17/4 of a litre?
Solution: 4250
Qn: What is three tenths of a century in months?
Solution: 360
Qn: What is 51/4 of a year in months?
Solution: 153
Qn: What is 60.4... | english |
numbers: is factor
------------------
Let us solve: Is 201213650 a multiple of 16?
Math A: False
Let us solve: Is 95310400 a multiple of 296?
Math A: False
Let us solve: Does 123 divide 21171?
Math A: False
Let us solve: Is 13 a factor of 1001?
Math A: True
Let us solve: Does 31 divide 98611?
Math A: True
Let us solve:... | english |
numbers: is prime
-----------------
Case: Is 2395061 a prime number?
Clarification: False
Case: Is 11824411 prime?
Clarification: False
Case: Is 22395481 prime?
Clarification: True
Case: Is 15333797 a composite number?
Clarification: True
Case: Is 7753 a composite number?
Clarification: False
Case: Is 9601 a prime numb... | english |
numbers: div remainder
----------------------
Task: Calculate the remainder when 15348945 is divided by 126.
Interpretation: 3
Task: What is the remainder when 1033333 is divided by 17816?
Interpretation: 5
Task: What is the remainder when 20601 is divided by 492?
Interpretation: 429
Task: What is the remainder when 25... | english |
arithmetic: nearest integer root
--------------------------------
Q: What is 2865476362 to the power of 1/2, to the nearest integer?
Response: 53530
Q: What is the square root of 19148377 to the nearest integer?
Response: 4376
Q: What is the cube root of 18955455 to the nearest integer?
Response: 267
Q: What is the six... | english |
numbers: div remainder
----------------------
Problem Statement: Calculate the remainder when 4595 is divided by 1056.
A.: 371
Problem Statement: Calculate the remainder when 1557 is divided by 511.
A.: 24
Problem Statement: Calculate the remainder when 9856 is divided by 38.
A.: 14
Problem Statement: Calculate the rem... | english |
numbers: is factor
------------------
Ask: Does 8 divide 14435872?
Resolution: True
Ask: Is 200 a multiple of 13?
Resolution: False
Ask: Is 67232 a multiple of 191?
Resolution: True
Ask: Does 38 divide 2508?
Resolution: True
Ask: Does 3 divide 128576?
Resolution: False
Ask: Is 14 a factor of 1505?
Resolution: False
Ask... | english |
numbers: place value
--------------------
Math Q: What is the hundred thousands digit of 67158272?
Explanation: 1
Math Q: What is the tens digit of 181?
Explanation: 8
Math Q: What is the millions digit of 3031442?
Explanation: 3
Math Q: What is the hundreds digit of 1674537001?
Explanation: 0
Math Q: What is the thous... | english |
numbers: div remainder
----------------------
Example: Calculate the remainder when 113 is divided by 108.
Outcome: 5
Example: Calculate the remainder when 31723572 is divided by 299.
Outcome: 270
Example: Calculate the remainder when 812 is divided by 121.
Outcome: 86
Example: What is the remainder when 6732 is divide... | english |
probability: swr p sequence
---------------------------
Prompt: Four letters picked without replacement from {r: 10, x: 5, b: 4}. What is prob of sequence brbr?
Key: 15/1292
Prompt: Two letters picked without replacement from {o: 2, e: 1, q: 2, u: 3, n: 3, k: 3}. What is prob of sequence uq?
Key: 3/91
Prompt: Two lette... | english |
numbers: is factor
------------------
Case: Does 12 divide 2880?
Calculation: True
Case: Does 68 divide 60520?
Calculation: True
Case: Is 730 a factor of 34342850?
Calculation: True
Case: Is 26395320 a multiple of 7?
Calculation: True
Case: Is 897 a multiple of 36?
Calculation: False
Case: Does 3 divide 149?
Calculatio... | english |
numbers: place value
--------------------
Task: What is the ten thousands digit of 21922?
Math A: 2
Task: What is the hundreds digit of 485170886?
Math A: 8
Task: What is the hundreds digit of 1086403?
Math A: 4
Task: What is the tens digit of 17139?
Math A: 3
Task: What is the tens digit of 9854220?
Math A: 2
Task: Wh... | english |
probability: swr p sequence
---------------------------
Task: Three letters picked without replacement from pzpfzzzfzppfpppf. What is prob of sequence ffp?
Solution: 1/40
Task: Two letters picked without replacement from ifirrf. What is prob of sequence ri?
Solution: 2/15
Task: Three letters picked without replacement ... | english |
numbers: is prime
-----------------
Test item: Is 5997336613 prime?
Gives: True
Test item: Is 611827979 a composite number?
Gives: True
Test item: Is 31193131 a prime number?
Gives: True
Test item: Is 7625939 a composite number?
Gives: False
Test item: Is 58710026821 prime?
Gives: True
Test item: Is 6805 composite?
Giv... | english |
numbers: is prime
-----------------
Subject: Is 13124819 prime?
Math A: True
Subject: Is 5903183095 composite?
Math A: True
Subject: Is 339114991 prime?
Math A: True
Subject: Is 29269 a composite number?
Math A: False
Subject: Is 1264005011 a prime number?
Math A: True
Subject: Is 285182333 a prime number?
Math A: Fals... | english |
measurement: conversion
-----------------------
Test item: How many seconds are there in 43575.29us?
A: 0.04357529
Test item: Convert 323.3612 millilitres to litres.
A: 0.3233612
Test item: What is 29/5 of a century in years?
A: 580
Test item: Convert 5.523477 tonnes to grams.
A: 5523477
Test item: How many millilitres... | english |
measurement: conversion
-----------------------
Exercise: What is eighteen fifths of a meter in millimeters?
Yields: 3600
Exercise: Convert 94481.6m to centimeters.
Yields: 9448160
Exercise: What is 2/7 of a week in minutes?
Yields: 2880
Exercise: Convert 211046.175ms to days.
Yields: 0.0024426640625
Exercise: What is ... | english |
numbers: is factor
------------------
Query: Is 368 a factor of 662633?
Calculation: False
Query: Is 106 a factor of 510750294?
Calculation: True
Query: Is 282 a factor of 58988668?
Calculation: False
Query: Is 553 a multiple of 17?
Calculation: False
Query: Does 8 divide 384?
Calculation: True
Query: Is 360545376 a mu... | english |
numbers: is factor
------------------
Problem #: Is 341376 a multiple of 381?
Response: True
Problem #: Does 3 divide 47910126?
Response: True
Problem #: Is 20 a factor of 356475?
Response: False
Problem #: Does 76 divide 259985?
Response: False
Problem #: Is 6377 a factor of 188026480?
Response: False
Problem #: Is 15... | english |
numbers: gcd
------------
Given: What is the highest common factor of 4510 and 2090?
Soln: 110
Given: What is the greatest common factor of 1037 and 2796789?
Soln: 1037
Given: What is the highest common factor of 702375 and 11125?
Soln: 125
Given: Calculate the greatest common divisor of 3509 and 58.
Soln: 29
Given: Wh... | english |
arithmetic: nearest integer root
--------------------------------
Given: What is the cube root of 15596531 to the nearest integer?
Sol: 250
Given: What is the square root of 91940531 to the nearest integer?
Sol: 9589
Given: What is 139336 to the power of 1/2, to the nearest integer?
Sol: 373
Given: What is the square r... | english |
numbers: div remainder
----------------------
Let us solve: Calculate the remainder when 604 is divided by 333.
Eval: 271
Let us solve: What is the remainder when 3202149 is divided by 2450?
Eval: 2449
Let us solve: Calculate the remainder when 281804 is divided by 139910.
Eval: 1984
Let us solve: What is the remainder... | english |
probability: swr p sequence
---------------------------
Request: What is prob of sequence dd when two letters picked without replacement from ccdcd?
Result: 1/10
Request: Four letters picked without replacement from gdrdwdgrhg. Give prob of sequence whgd.
Result: 1/560
Request: Three letters picked without replacement ... | english |
numbers: place value
--------------------
Conundrum: What is the ten thousands digit of 38513472?
Steps: 1
Conundrum: What is the millions digit of 2999787090?
Steps: 9
Conundrum: What is the ten millions digit of 61036822?
Steps: 6
Conundrum: What is the units digit of 68410371?
Steps: 1
Conundrum: What is the tens di... | english |
numbers: is prime
-----------------
Question: Is 118421 a prime number?
Yields: False
Question: Is 81331 a prime number?
Yields: True
Question: Is 371973983 composite?
Yields: True
Question: Is 619793 a prime number?
Yields: True
Question: Is 204427 prime?
Yields: True
Question: Is 21757058 composite?
Yields: True
Ques... | english |
numbers: place value
--------------------
Question: What is the hundred thousands digit of 34747295?
Conclusion: 7
Question: What is the units digit of 4139072?
Conclusion: 2
Question: What is the tens digit of 1319?
Conclusion: 1
Question: What is the units digit of 4180716?
Conclusion: 6
Question: What is the tens di... | english |
numbers: is prime
-----------------
Exercise: Is 19516789181 a composite number?
Sol: False
Exercise: Is 3285728189 composite?
Sol: False
Exercise: Is 2013257 composite?
Sol: True
Exercise: Is 7311448061 prime?
Sol: False
Exercise: Is 5729 composite?
Sol: True
Exercise: Is 7143391219 prime?
Sol: False
Exercise: Is 2698... | english |
numbers: place value
--------------------
Prompt: What is the hundred millions digit of 1060878872?
Key: 0
Prompt: What is the ten millions digit of 548639765?
Key: 4
Prompt: What is the hundreds digit of 2297863774?
Key: 7
Prompt: What is the ten thousands digit of 111959933?
Key: 5
Prompt: What is the thousands digit... | english |
arithmetic: nearest integer root
--------------------------------
Item: What is the tenth root of 2785 to the nearest integer?
Therefore: 2
Item: What is the cube root of 136957540 to the nearest integer?
Therefore: 515
Item: What is the third root of 14248 to the nearest integer?
Therefore: 24
Item: What is the cube r... | english |
numbers: is prime
-----------------
Challenge: Is 21743968955 a prime number?
Outcome: False
Challenge: Is 26507 a composite number?
Outcome: True
Challenge: Is 1502474 a composite number?
Outcome: True
Challenge: Is 11920321019 composite?
Outcome: False
Challenge: Is 846381 a prime number?
Outcome: False
Challenge: Is... | english |
numbers: place value
--------------------
Puzzle: What is the ten thousands digit of 73436?
A: 7
Puzzle: What is the units digit of 34131?
A: 1
Puzzle: What is the tens digit of 7422?
A: 2
Puzzle: What is the units digit of 22094?
A: 4
Puzzle: What is the tens digit of 10505690?
A: 9
Puzzle: What is the ten thousands d... | english |
numbers: is prime
-----------------
Q=: Is 6766843 a prime number?
Final Answer: True
Q=: Is 1638547 a composite number?
Final Answer: False
Q=: Is 24191 a composite number?
Final Answer: True
Q=: Is 94134991 composite?
Final Answer: True
Q=: Is 86677 a composite number?
Final Answer: False
Q=: Is 4159095911 a prime nu... | english |
numbers: is factor
------------------
Conundrum: Does 13 divide 135365?
Outcome: False
Conundrum: Does 2293 divide 116055609?
Outcome: True
Conundrum: Does 30 divide 14536436?
Outcome: False
Conundrum: Does 4 divide 72?
Outcome: True
Conundrum: Is 39 a factor of 6552?
Outcome: True
Conundrum: Is 6 a factor of 3959?
Out... | english |
numbers: is factor
------------------
Question: Does 73 divide 77813474?
Solution: True
Question: Is 1146 a factor of 107497092?
Solution: True
Question: Is 12 a factor of 19242003?
Solution: False
Question: Is 63877 a multiple of 11?
Solution: True
Question: Is 684229994 a multiple of 2709?
Solution: False
Question: I... | english |
probability: swr p sequence
---------------------------
Exercise: Three letters picked without replacement from {e: 4, n: 4, o: 3, q: 1, f: 1, l: 2}. What is prob of sequence nqn?
Key: 2/455
Exercise: Three letters picked without replacement from {k: 5, z: 15}. What is prob of sequence kzz?
Key: 35/228
Exercise: Four l... | english |
probability: swr p level set
----------------------------
Conundrum: Calculate prob of picking 2 l, 1 f, and 1 k when four letters picked without replacement from fklllkllkkk.
Workthrough: 5/33
Conundrum: Four letters picked without replacement from {l: 1, s: 10, d: 1, i: 3}. Give prob of picking 1 i, 1 d, 1 l, and 1 s... | english |
numbers: place value
--------------------
Situation: What is the hundreds digit of 606604461?
Outcome: 4
Situation: What is the hundred thousands digit of 1092629?
Outcome: 0
Situation: What is the ten thousands digit of 136018763?
Outcome: 1
Situation: What is the hundreds digit of 1477160?
Outcome: 1
Situation: What ... | english |
arithmetic: nearest integer root
--------------------------------
Scenario: What is 59048 to the power of 1/7, to the nearest integer?
Result: 5
Scenario: What is 895 to the power of 1/6, to the nearest integer?
Result: 3
Scenario: What is 521413938 to the power of 1/2, to the nearest integer?
Result: 22834
Scenario: W... | english |
numbers: gcd
------------
What if: What is the greatest common factor of 675 and 973638?
A: 9
What if: Calculate the highest common divisor of 221 and 29.
A: 1
What if: Calculate the greatest common factor of 1193 and 84.
A: 1
What if: Calculate the greatest common factor of 4858 and 694.
A: 694
What if: What is the hi... | english |
probability: swr p sequence
---------------------------
Q-: Four letters picked without replacement from {b: 1, x: 4, d: 8, y: 2, r: 4, j: 1}. What is prob of sequence djrb?
Sol: 4/14535
Q-: Calculate prob of sequence wut when three letters picked without replacement from {u: 4, w: 2, t: 1}.
Sol: 4/105
Q-: What is prob... | english |
probability: swr p sequence
---------------------------
Problem: What is prob of sequence iddi when four letters picked without replacement from hdddiii?
Clarification: 3/70
Problem: Calculate prob of sequence lmll when four letters picked without replacement from llllllllllllllllmll.
Clarification: 1/19
Problem: What ... | english |
numbers: lcm
------------
Ask: Calculate the smallest common multiple of 22 and 2713799.
Interpretation: 5427598
Ask: Calculate the least common multiple of 2928 and 114924.
Interpretation: 459696
Ask: Calculate the smallest common multiple of 22 and 9680.
Interpretation: 9680
Ask: What is the common denominator of -29... | english |
probability: swr p sequence
---------------------------
Subquestion: What is prob of sequence gcg when three letters picked without replacement from {g: 4, c: 16}?
Steps: 8/285
Subquestion: Four letters picked without replacement from uumvmmvv. What is prob of sequence mvuu?
Steps: 3/280
Subquestion: What is prob of se... | english |
probability: swr p level set
----------------------------
Prompt: Three letters picked without replacement from iogilgy. Give prob of picking 1 l, 1 y, and 1 g.
Solution: 2/35
Prompt: Three letters picked without replacement from zzzvvtzzzkvvvtzkwz. What is prob of picking 3 v?
Solution: 5/408
Prompt: Two letters picke... | english |
numbers: gcd
------------
Given: What is the greatest common divisor of 14790 and 50235?
Interpretation: 255
Given: What is the greatest common factor of 13884 and 197580?
Interpretation: 1068
Given: Calculate the greatest common factor of 1164 and 2652.
Interpretation: 12
Given: What is the greatest common divisor of ... | english |
numbers: place value
--------------------
Given: What is the hundreds digit of 1134489?
Sol: 4
Given: What is the tens digit of 167921052?
Sol: 5
Given: What is the thousands digit of 3766365861?
Sol: 5
Given: What is the tens digit of 48570919?
Sol: 1
Given: What is the thousands digit of 1190?
Sol: 1
Given: What is t... | english |
numbers: place value
--------------------
Case: What is the units digit of 140942165?
Workthrough: 5
Case: What is the units digit of 4221?
Workthrough: 1
Case: What is the tens digit of 112721?
Workthrough: 2
Case: What is the hundreds digit of 1234888?
Workthrough: 8
Case: What is the ten thousands digit of 59218?
Wo... | english |
probability: swr p level set
----------------------------
Q: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {g: 2, f: 4, q: 3}.
Derivation: 2/9
Q: What is prob of picking 1 w and 1 n when two letters picked without replacement from wnxnzwxyhyxxyxw?
Derivation: 2/35
Q: Three lette... | english |
probability: swr p level set
----------------------------
Puzzle: Four letters picked without replacement from {u: 3, b: 3, n: 6, o: 1, r: 1, v: 1}. What is prob of picking 1 r, 1 b, and 2 n?
Workthrough: 3/91
Puzzle: Three letters picked without replacement from sxeshhsehg. What is prob of picking 1 h, 1 x, and 1 g?
W... | english |
measurement: conversion
-----------------------
Subquestion: What is 1/6 of a hour in minutes?
Math A: 10
Subquestion: How many years are there in 1/10 of a century?
Math A: 10
Subquestion: What is 3/8 of a litre in millilitres?
Math A: 375
Subquestion: How many millennia are there in 0.7298113 centuries?
Math A: 0.072... | english |
arithmetic: nearest integer root
--------------------------------
Let us solve: What is 85111888 to the power of 1/2, to the nearest integer?
Sol: 9226
Let us solve: What is 6798 to the power of 1/3, to the nearest integer?
Sol: 19
Let us solve: What is the third root of 19307 to the nearest integer?
Sol: 27
Let us sol... | english |
measurement: conversion
-----------------------
Inquiry: How many grams are there in five quarters of a kilogram?
Output: 1250
Inquiry: What is three tenths of a centimeter in micrometers?
Output: 3000
Inquiry: How many months are there in 15/16 of a millennium?
Output: 11250
Inquiry: How many seconds are there in 1/60... | english |
probability: swr p level set
----------------------------
Q-: Two letters picked without replacement from {y: 1, c: 1, b: 4, d: 2, n: 1}. What is prob of picking 1 b and 1 c?
Fix: 1/9
Q-: Two letters picked without replacement from {g: 1, o: 12, i: 2, z: 1, h: 3}. Give prob of picking 2 h.
Fix: 1/57
Q-: Two letters pic... | english |
numbers: place value
--------------------
Test item: What is the thousands digit of 299949181?
Hence: 9
Test item: What is the hundreds digit of 189201?
Hence: 2
Test item: What is the ten millions digit of 2191298901?
Hence: 9
Test item: What is the units digit of 29448020?
Hence: 0
Test item: What is the hundreds dig... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is the third root of 629 to the nearest integer?
Solution: 9
Example: What is the cube root of 852471258 to the nearest integer?
Solution: 948
Example: What is the square root of 3507 to the nearest integer?
Solution: 59
Example: What is 29... | english |
probability: swr p sequence
---------------------------
Question: Calculate prob of sequence pkep when four letters picked without replacement from {k: 6, p: 3, e: 8, i: 2}.
Solution: 1/323
Question: Two letters picked without replacement from aaaafafafaaaaaff. What is prob of sequence fa?
Solution: 11/48
Question: Cal... | english |
arithmetic: nearest integer root
--------------------------------
Issue: What is 2872737 to the power of 1/8, to the nearest integer?
Key: 6
Issue: What is the fourth root of 2062778 to the nearest integer?
Key: 38
Issue: What is the third root of 5173328 to the nearest integer?
Key: 173
Issue: What is the square root ... | english |
measurement: time
-----------------
Request: How many minutes are there between 4:50 AM and 9:16 AM?
Soln: 266
Request: What is 719 minutes before 4:57 AM?
Soln: 4:58 PM
Request: How many minutes are there between 8:20 AM and 9:13 AM?
Soln: 53
Request: What is 166 minutes after 10:50 PM?
Soln: 1:36 AM
Request: How many... | english |
probability: swr p level set
----------------------------
Challenge: Three letters picked without replacement from {i: 4, m: 2, t: 3, e: 1, s: 7}. Give prob of picking 1 t, 1 m, and 1 s.
Compute: 21/340
Challenge: Two letters picked without replacement from {s: 6, d: 3, f: 2, w: 1}. What is prob of picking 2 w?
Compute... | english |
numbers: gcd
------------
Exercise: What is the greatest common divisor of 1119 and 24?
Conclusion: 3
Exercise: Calculate the greatest common factor of 1170 and 10200255.
Conclusion: 195
Exercise: Calculate the highest common divisor of 45 and 72.
Conclusion: 9
Exercise: What is the greatest common factor of 15501034 a... | english |
numbers: div remainder
----------------------
Input: Calculate the remainder when 105 is divided by 50.
Conclusion: 5
Input: Calculate the remainder when 322 is divided by 5.
Conclusion: 2
Input: Calculate the remainder when 1179882 is divided by 196647.
Conclusion: 0
Input: Calculate the remainder when 257 is divided ... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is the square root of 36298909 to the nearest integer?
Calculation: 6025
Q=: What is 506181 to the power of 1/7, to the nearest integer?
Calculation: 7
Q=: What is 18154 to the power of 1/3, to the nearest integer?
Calculation: 26
Q=: What is 16... | english |
numbers: gcd
------------
Item: What is the greatest common divisor of 596 and 1639?
Soln: 149
Item: What is the greatest common factor of 399911875 and 165?
Soln: 55
Item: What is the greatest common factor of 5273715 and 25755?
Soln: 1515
Item: What is the highest common factor of 876244 and 7485?
Soln: 499
Item: Cal... | english |
numbers: place value
--------------------
Q-: What is the ten thousands digit of 230467?
Answer: 3
Q-: What is the hundred thousands digit of 1276869255?
Answer: 8
Q-: What is the thousands digit of 7543?
Answer: 7
Q-: What is the hundreds digit of 15786083?
Answer: 0
Q-: What is the hundred millions digit of 146862696... | english |
probability: swr p sequence
---------------------------
Q-: Calculate prob of sequence yt when two letters picked without replacement from {y: 3, b: 1, t: 3}.
Eval: 3/14
Q-: Calculate prob of sequence hw when two letters picked without replacement from {w: 8, h: 2, g: 2}.
Eval: 4/33
Q-: Four letters picked without repl... | english |
probability: swr p sequence
---------------------------
Task: Calculate prob of sequence rur when three letters picked without replacement from nurunuunnrnrnr.
Workthrough: 2/91
Task: Four letters picked without replacement from {i: 5, b: 3, a: 5, g: 2, u: 4, p: 1}. Give prob of sequence gaib.
Workthrough: 5/3876
Task:... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is the square root of 4230 to the nearest integer?
Eval: 65
Ask: What is 1995890 to the power of 1/2, to the nearest integer?
Eval: 1413
Ask: What is 4093 to the power of 1/4, to the nearest integer?
Eval: 8
Ask: What is the third root of 899 t... | english |
probability: swr p level set
----------------------------
Q): Three letters picked without replacement from {x: 2, c: 18}. Give prob of picking 1 c and 2 x.
Answer: 3/190
Q): What is prob of picking 1 u, 1 b, and 2 a when four letters picked without replacement from ufabauwfuawuwauuw?
Answer: 9/595
Q): Three letters pi... | english |
arithmetic: nearest integer root
--------------------------------
Input: What is the cube root of 258673 to the nearest integer?
Clarification: 64
Input: What is 277230 to the power of 1/6, to the nearest integer?
Clarification: 8
Input: What is the square root of 2429031 to the nearest integer?
Clarification: 1559
Inp... | english |
numbers: gcd
------------
Scenario: Calculate the highest common factor of 7020 and 322855.
A: 65
Scenario: Calculate the highest common factor of 10475828 and 1111.
A: 11
Scenario: What is the highest common divisor of 25675 and 349375?
A: 325
Scenario: Calculate the greatest common divisor of 1128 and 72.
A: 24
Scena... | english |
numbers: div remainder
----------------------
Subject: Calculate the remainder when 301 is divided by 17.
→: 12
Subject: Calculate the remainder when 1466 is divided by 7.
→: 3
Subject: Calculate the remainder when 16910 is divided by 9818.
→: 7092
Subject: Calculate the remainder when 28972119 is divided by 1609561.
→... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is the cube root of 6365 to the nearest integer?
Finding: 19
Ask: What is the third root of 7378 to the nearest integer?
Finding: 19
Ask: What is the square root of 908383231 to the nearest integer?
Finding: 30139
Ask: What is 21160 to the powe... | english |
numbers: lcm
------------
Statement: Calculate the lowest common multiple of 7 and 32.
Solution: 224
Statement: What is the least common multiple of 10 and 78?
Solution: 390
Statement: What is the common denominator of 121/96 and -17/3134560?
Solution: 9403680
Statement: Calculate the least common multiple of 3150 and ... | english |
numbers: is factor
------------------
Scenario: Is 364 a factor of 231922?
Calculation: False
Scenario: Does 18 divide 2214?
Calculation: True
Scenario: Does 114 divide 206718?
Calculation: False
Scenario: Is 36340 a multiple of 46?
Calculation: True
Scenario: Does 28 divide 346416?
Calculation: True
Scenario: Is 3 a f... | english |
arithmetic: nearest integer root
--------------------------------
Q=: What is 1591234206 to the power of 1/2, to the nearest integer?
Therefore: 39890
Q=: What is the third root of 24703286 to the nearest integer?
Therefore: 291
Q=: What is the cube root of 48562 to the nearest integer?
Therefore: 36
Q=: What is the si... | english |
measurement: conversion
-----------------------
Prompt: What is one quarter of a decade in months?
Soln: 30
Prompt: What is fifty-nine fifths of a litre in millilitres?
Soln: 11800
Prompt: How many litres are there in 67078.19ml?
Soln: 67.07819
Prompt: What is 87.57984kg in grams?
Soln: 87579.84
Prompt: What is 7996.17... | english |
numbers: is prime
-----------------
Inquiry: Is 1633 composite?
Answer: True
Inquiry: Is 13378 a prime number?
Answer: False
Inquiry: Is 34545631 composite?
Answer: False
Inquiry: Is 11657885 composite?
Answer: True
Inquiry: Is 187520351 a prime number?
Answer: False
Inquiry: Is 10932079 a composite number?
Answer: Tru... | english |
probability: swr p sequence
---------------------------
Problem #: Four letters picked without replacement from {t: 1, a: 5, u: 4}. What is prob of sequence tuau?
= : 1/84
Problem #: Three letters picked without replacement from lvvcvlvbbhbhzch. What is prob of sequence lbz?
= : 1/455
Problem #: What is prob of sequenc... | english |
numbers: place value
--------------------
Ask: What is the units digit of 2545670534?
Math A: 4
Ask: What is the units digit of 6443?
Math A: 3
Ask: What is the ten thousands digit of 507375950?
Math A: 7
Ask: What is the hundreds digit of 7537301?
Math A: 3
Ask: What is the hundred thousands digit of 704302?
Math A: 7... | english |
numbers: div remainder
----------------------
Challenge: Calculate the remainder when 65616540 is divided by 84.
Solution: 24
Challenge: Calculate the remainder when 120327 is divided by 70.
Solution: 67
Challenge: What is the remainder when 1076 is divided by 535?
Solution: 6
Challenge: Calculate the remainder when 28... | english |
probability: swr p level set
----------------------------
Item: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from wmrhd.
Fix: 1/10
Item: Two letters picked without replacement from hhlhlhhh. Give prob of picking 2 h.
Fix: 15/28
Item: Calculate prob of picking 2 k when two letters pi... | english |
arithmetic: nearest integer root
--------------------------------
Exercise: What is the square root of 18148665 to the nearest integer?
Fix: 4260
Exercise: What is 50418192 to the power of 1/10, to the nearest integer?
Fix: 6
Exercise: What is 135410 to the power of 1/2, to the nearest integer?
Fix: 368
Exercise: What ... | english |
measurement: time
-----------------
Q: How many minutes are there between 9:23 AM and 7:22 PM?
Result: 599
Q: What is 286 minutes after 10:17 AM?
Result: 3:03 PM
Q: How many minutes are there between 9:03 PM and 11:37 PM?
Result: 154
Q: How many minutes are there between 12:44 PM and 7:11 PM?
Result: 387
Q: What is 675... | english |
measurement: conversion
-----------------------
Challenge: How many years are there in fifty-four fifths of a millennium?
A: 10800
Challenge: What is one fifth of a minute in milliseconds?
A: 12000
Challenge: How many micrometers are there in 9871.83cm?
A: 98718300
Challenge: What is 49598.35ml in litres?
A: 49.59835
C... | english |
numbers: div remainder
----------------------
Q=: What is the remainder when 903 is divided by 184?
Solution: 167
Q=: What is the remainder when 8248755 is divided by 119547?
Solution: 12
Q=: Calculate the remainder when 10290055 is divided by 16759.
Solution: 29
Q=: Calculate the remainder when 48317 is divided by 402... | english |
probability: swr p level set
----------------------------
Prompt: What is prob of picking 2 n and 1 g when three letters picked without replacement from gogogggggnnnnn?
Hence: 5/26
Prompt: Four letters picked without replacement from {c: 3, d: 1, p: 4}. What is prob of picking 1 d, 2 c, and 1 p?
Hence: 6/35
Prompt: Wha... | english |
numbers: is prime
-----------------
Example: Is 20989 a prime number?
Calculation: False
Example: Is 702173 a composite number?
Calculation: False
Example: Is 60882199145 a composite number?
Calculation: True
Example: Is 2761505 a prime number?
Calculation: False
Example: Is 79531063 a composite number?
Calculation: Tr... | english |
measurement: time
-----------------
Exercise: How many minutes are there between 5:20 PM and 11:34 PM?
Steps: 374
Exercise: What is 530 minutes before 12:59 AM?
Steps: 4:09 PM
Exercise: How many minutes are there between 6:04 AM and 10:41 AM?
Steps: 277
Exercise: What is 158 minutes after 9:43 AM?
Steps: 12:21 PM
Exerc... | english |
numbers: is prime
-----------------
Test item: Is 552597569 a prime number?
Yields: True
Test item: Is 339502503 a prime number?
Yields: False
Test item: Is 64399 prime?
Yields: True
Test item: Is 90547 a composite number?
Yields: False
Test item: Is 60331166957 a composite number?
Yields: True
Test item: Is 1068800047... | english |
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