text stringlengths 256 2k | language stringclasses 2
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probability: swr p level set
----------------------------
Given: What is prob of picking 1 a and 1 c when two letters picked without replacement from cgccccqccaccccqcc?
Sol: 13/136
Given: What is prob of picking 2 p, 1 k, and 1 y when four letters picked without replacement from pkkkkkkppkpky?
Sol: 48/715
Given: Three ... | english |
measurement: time
-----------------
Problem: What is 255 minutes before 4:54 AM?
Gives: 12:39 AM
Problem: How many minutes are there between 1:07 PM and 7:52 PM?
Gives: 405
Problem: What is 104 minutes after 11:31 AM?
Gives: 1:15 PM
Problem: What is 625 minutes after 5:14 PM?
Gives: 3:39 AM
Problem: What is 244 minutes... | english |
numbers: gcd
------------
Q=: Calculate the greatest common divisor of 183 and 4941.
Yields: 183
Q=: What is the greatest common divisor of 48791 and 1746?
Yields: 97
Q=: Calculate the highest common factor of 33 and 372.
Yields: 3
Q=: Calculate the greatest common factor of 60 and 732.
Yields: 12
Q=: Calculate the gre... | english |
probability: swr p level set
----------------------------
Task: Three letters picked without replacement from qqggngaaanag. What is prob of picking 1 n and 2 q?
Math A: 1/110
Task: Three letters picked without replacement from sooooossos. Give prob of picking 1 o and 2 s.
Math A: 3/10
Task: Two letters picked without r... | english |
measurement: time
-----------------
Inquiry: How many minutes are there between 1:27 AM and 8:51 AM?
Soln: 444
Inquiry: How many minutes are there between 5:33 PM and 11:10 PM?
Soln: 337
Inquiry: What is 318 minutes before 9:11 AM?
Soln: 3:53 AM
Inquiry: How many minutes are there between 9:39 AM and 1:39 PM?
Soln: 240... | english |
measurement: time
-----------------
Problem #: How many minutes are there between 10:04 PM and 12:55 AM?
Sol: 171
Problem #: How many minutes are there between 11:12 PM and 8:25 AM?
Sol: 553
Problem #: What is 502 minutes after 8:59 AM?
Sol: 5:21 PM
Problem #: What is 144 minutes after 2:37 AM?
Sol: 5:01 AM
Problem #: ... | english |
numbers: is prime
-----------------
Prompt: Is 1130065991 a composite number?
Therefore: True
Prompt: Is 128710537 a composite number?
Therefore: False
Prompt: Is 10007 a prime number?
Therefore: True
Prompt: Is 4681189841 prime?
Therefore: True
Prompt: Is 43110593 a composite number?
Therefore: False
Prompt: Is 277114... | english |
numbers: is prime
-----------------
Scenario: Is 2498 prime?
Interpretation: False
Scenario: Is 221 a composite number?
Interpretation: True
Scenario: Is 24065077 a prime number?
Interpretation: False
Scenario: Is 36794 composite?
Interpretation: True
Scenario: Is 5042707 a composite number?
Interpretation: False
Scena... | english |
numbers: is prime
-----------------
Part A: Is 1674107 composite?
Soln: False
Part A: Is 5083376861 a prime number?
Soln: True
Part A: Is 74589635 a prime number?
Soln: False
Part A: Is 527267887 a composite number?
Soln: False
Part A: Is 3407 composite?
Soln: False
Part A: Is 2402761 composite?
Soln: False
Part A: Is ... | english |
numbers: place value
--------------------
Q-: What is the thousands digit of 24152417?
Steps: 2
Q-: What is the units digit of 651382026?
Steps: 6
Q-: What is the hundreds digit of 7057?
Steps: 0
Q-: What is the units digit of 1605094258?
Steps: 8
Q-: What is the tens digit of 186335?
Steps: 3
Q-: What is the ten thous... | english |
arithmetic: nearest integer root
--------------------------------
Step: What is the square root of 580190445 to the nearest integer?
Sol: 24087
Step: What is the third root of 1467862182 to the nearest integer?
Sol: 1136
Step: What is the tenth root of 6606502075 to the nearest integer?
Sol: 10
Step: What is 3413743 to... | english |
numbers: place value
--------------------
Case: What is the tens digit of 754?
Workthrough: 5
Case: What is the thousands digit of 236209?
Workthrough: 6
Case: What is the tens digit of 863854?
Workthrough: 5
Case: What is the hundreds digit of 7080?
Workthrough: 0
Case: What is the thousands digit of 944442?
Workthrou... | english |
probability: swr p level set
----------------------------
Query: What is prob of picking 2 v when two letters picked without replacement from gagvaevagg?
Interpretation: 1/45
Query: What is prob of picking 2 x, 1 c, and 1 m when four letters picked without replacement from xchxm?
Interpretation: 1/5
Query: What is prob... | english |
numbers: div remainder
----------------------
Ask: What is the remainder when 26456 is divided by 270?
Steps: 266
Ask: What is the remainder when 1780458 is divided by 81?
Steps: 78
Ask: What is the remainder when 92548815 is divided by 364?
Steps: 359
Ask: Calculate the remainder when 21990218 is divided by 490.
Steps... | english |
numbers: place value
--------------------
Q/A: What is the billions digit of 2612886228?
Fix: 2
Q/A: What is the thousands digit of 29060?
Fix: 9
Q/A: What is the hundreds digit of 45233?
Fix: 2
Q/A: What is the hundred thousands digit of 945812292?
Fix: 8
Q/A: What is the units digit of 33312265?
Fix: 5
Q/A: What is t... | english |
numbers: place value
--------------------
Issue: What is the thousands digit of 847088908?
Math A: 8
Issue: What is the hundreds digit of 538342?
Math A: 3
Issue: What is the hundred thousands digit of 669548764?
Math A: 5
Issue: What is the hundred millions digit of 597866862?
Math A: 5
Issue: What is the hundreds dig... | english |
measurement: conversion
-----------------------
Prompt: How many seconds are there in seventeen sixths of a minute?
Eval: 170
Prompt: What is 40.63774m in centimeters?
Eval: 4063.774
Prompt: What is eleven halves of a meter in millimeters?
Eval: 5500
Prompt: How many nanoseconds are there in 32/5 of a microsecond?
Eval... | english |
numbers: is factor
------------------
Math Problem: Does 133 divide 62540?
Yields: False
Math Problem: Does 5 divide 72367401?
Yields: False
Math Problem: Is 26287360 a multiple of 55?
Yields: True
Math Problem: Is 84 a multiple of 12?
Yields: True
Math Problem: Is 34990 a multiple of 54?
Yields: False
Math Problem: Do... | english |
probability: swr p sequence
---------------------------
Prompt: Two letters picked without replacement from haahhdhhahaaahhahh. What is prob of sequence ah?
Eval: 35/153
Prompt: Three letters picked without replacement from {r: 3, k: 1, h: 3}. What is prob of sequence hhh?
Eval: 1/35
Prompt: Calculate prob of sequence ... | english |
numbers: place value
--------------------
Prompt: What is the hundred millions digit of 145441124?
Answer: 1
Prompt: What is the units digit of 1255238271?
Answer: 1
Prompt: What is the hundreds digit of 3410993621?
Answer: 6
Prompt: What is the hundred thousands digit of 247392?
Answer: 2
Prompt: What is the hundred m... | english |
probability: swr p level set
----------------------------
Problem: Two letters picked without replacement from {q: 1, b: 1, f: 2, i: 1, u: 1, j: 2}. Give prob of picking 1 u and 1 i.
Interpretation: 1/28
Problem: Two letters picked without replacement from zbzmbbbzbmz. Give prob of picking 2 m.
Interpretation: 1/55
Pro... | english |
numbers: is factor
------------------
Puzzle: Is 322913136 a multiple of 56?
Therefore: True
Puzzle: Is 106 a factor of 4169742?
Therefore: False
Puzzle: Does 13 divide 2710461?
Therefore: True
Puzzle: Does 4 divide 592?
Therefore: True
Puzzle: Does 744 divide 32063076?
Therefore: False
Puzzle: Is 14 a factor of 155?
T... | english |
probability: swr p level set
----------------------------
Inquiry: Three letters picked without replacement from qudouvquvuqduuqu. Give prob of picking 1 q, 1 u, and 1 d.
Interpretation: 1/10
Inquiry: What is prob of picking 4 k when four letters picked without replacement from tktttkktkktttt?
Interpretation: 5/1001
In... | english |
probability: swr p level set
----------------------------
Problem: Three letters picked without replacement from cuccucuccccc. Give prob of picking 2 u and 1 c.
Outcome: 27/220
Problem: Four letters picked without replacement from {o: 6, t: 4, i: 2, g: 6}. What is prob of picking 1 o, 2 t, and 1 g?
Outcome: 6/85
Proble... | english |
numbers: is prime
-----------------
Case: Is 673625741 composite?
Calculation: False
Case: Is 23623 composite?
Calculation: False
Case: Is 3849763 composite?
Calculation: True
Case: Is 3271 a composite number?
Calculation: False
Case: Is 1536565691 prime?
Calculation: True
Case: Is 1338615121 a prime number?
Calculatio... | english |
arithmetic: nearest integer root
--------------------------------
Problem: What is 74025 to the power of 1/5, to the nearest integer?
Soln: 9
Problem: What is 5793 to the power of 1/7, to the nearest integer?
Soln: 3
Problem: What is 32 to the power of 1/10, to the nearest integer?
Soln: 1
Problem: What is 2884 to the ... | english |
probability: swr p sequence
---------------------------
Qn: Three letters picked without replacement from {t: 7}. What is prob of sequence ttt?
A.: 1
Qn: Two letters picked without replacement from yyuuuuautytnty. What is prob of sequence tn?
A.: 3/182
Qn: Four letters picked without replacement from qfwqwgqfgzqawww. W... | english |
numbers: place value
--------------------
Test item: What is the units digit of 77885760?
Gives: 0
Test item: What is the tens digit of 23658?
Gives: 5
Test item: What is the millions digit of 3998990538?
Gives: 8
Test item: What is the millions digit of 8016876?
Gives: 8
Test item: What is the ten thousands digit of 2... | english |
numbers: is prime
-----------------
Given: Is 7101995059 a composite number?
Soln: False
Given: Is 7522249 a composite number?
Soln: True
Given: Is 892345543 a composite number?
Soln: False
Given: Is 182589419 composite?
Soln: False
Given: Is 948994271 composite?
Soln: False
Given: Is 62897 composite?
Soln: False
Given... | english |
measurement: conversion
-----------------------
Math Q: What is seven eighths of a gram in milligrams?
Response: 875
Math Q: Convert 2641.4 years to decades.
Response: 264.14
Math Q: What is 15/4 of a century in months?
Response: 4500
Math Q: Convert 268308.5kg to tonnes.
Response: 268.3085
Math Q: What is one quarter ... | english |
numbers: gcd
------------
Problem: Calculate the greatest common divisor of 1282066 and 50807.
Explanation: 1081
Problem: What is the greatest common factor of 4250 and 370?
Explanation: 10
Problem: Calculate the highest common factor of 325 and 2550535.
Explanation: 65
Problem: What is the highest common divisor of 22... | english |
measurement: conversion
-----------------------
Prompt: How many meters are there in 3/50 of a kilometer?
Hence: 60
Prompt: How many years are there in 91256.21 millennia?
Hence: 91256210
Prompt: How many millimeters are there in twenty-seven halves of a centimeter?
Hence: 135
Prompt: How many millilitres are there in ... | english |
numbers: div remainder
----------------------
Q=: Calculate the remainder when 5715 is divided by 19.
A: 15
Q=: What is the remainder when 25653 is divided by 886?
A: 845
Q=: Calculate the remainder when 20114943 is divided by 28.
A: 23
Q=: What is the remainder when 8899 is divided by 146?
A: 139
Q=: Calculate the rem... | english |
numbers: place value
--------------------
Part A: What is the thousands digit of 3733691?
Therefore: 3
Part A: What is the tens digit of 16696?
Therefore: 9
Part A: What is the tens digit of 523260?
Therefore: 6
Part A: What is the ten millions digit of 21912710?
Therefore: 2
Part A: What is the units digit of 3030181?... | english |
numbers: place value
--------------------
Step: What is the ten millions digit of 142852917?
Math A: 4
Step: What is the hundreds digit of 5314?
Math A: 3
Step: What is the tens digit of 28?
Math A: 2
Step: What is the billions digit of 2894454522?
Math A: 2
Step: What is the tens digit of 2913?
Math A: 1
Step: What is... | english |
probability: swr p sequence
---------------------------
Part A: Three letters picked without replacement from ttnxxtttxttnxnn. What is prob of sequence xxx?
Answer: 4/455
Part A: What is prob of sequence lvl when three letters picked without replacement from {v: 4, d: 2, l: 2, a: 2}?
Answer: 1/90
Part A: What is prob o... | english |
numbers: is prime
-----------------
Case: Is 345869 a composite number?
Explanation: False
Case: Is 8322811 a prime number?
Explanation: False
Case: Is 22123822031 a composite number?
Explanation: False
Case: Is 32673384533 composite?
Explanation: True
Case: Is 63251304839 a composite number?
Explanation: True
Case: Is... | english |
measurement: conversion
-----------------------
Exercise: What is twenty-three eighths of a gram in milligrams?
Ans: 2875
Exercise: How many seconds are there in 1/24 of a week?
Ans: 25200
Exercise: What is 5230.887 weeks in microseconds?
Ans: 3163640457600000
Exercise: What is 6.321362 millennia in decades?
Ans: 632.1... | english |
numbers: is factor
------------------
Subject: Is 28 a factor of 5290712?
Calculation: True
Subject: Does 5 divide 8737250?
Calculation: True
Subject: Is 20 a factor of 3794780?
Calculation: True
Subject: Does 2 divide 479202?
Calculation: True
Subject: Does 6 divide 11972?
Calculation: False
Subject: Does 12 divide 81... | english |
measurement: time
-----------------
Prompt: What is 401 minutes before 12:43 PM?
Gives: 6:02 AM
Prompt: How many minutes are there between 4:45 PM and 4:05 AM?
Gives: 680
Prompt: How many minutes are there between 8:23 AM and 1:55 PM?
Gives: 332
Prompt: How many minutes are there between 11:29 PM and 5:29 AM?
Gives: 36... | english |
probability: swr p level set
----------------------------
Given: What is prob of picking 1 w, 1 e, and 1 i when three letters picked without replacement from {i: 6, e: 1, w: 1, z: 11}?
Sol: 2/323
Given: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {a: 5, c: 2, j: 4, i: 1, e: 2}... | english |
numbers: is factor
------------------
Qn: Does 108 divide 8864302?
Conclusion: False
Qn: Is 735 a multiple of 21?
Conclusion: True
Qn: Is 8 a factor of 4911?
Conclusion: False
Qn: Is 55018040 a multiple of 70?
Conclusion: True
Qn: Does 57 divide 14649?
Conclusion: True
Qn: Is 26 a factor of 46511010?
Conclusion: True
Q... | english |
numbers: div remainder
----------------------
Q=: What is the remainder when 9825689 is divided by 166537?
Sol: 6
Q=: Calculate the remainder when 619 is divided by 182.
Sol: 73
Q=: What is the remainder when 3874 is divided by 1285?
Sol: 19
Q=: Calculate the remainder when 336 is divided by 47.
Sol: 7
Q=: What is the ... | english |
numbers: place value
--------------------
Q: What is the tens digit of 169535116?
Response: 1
Q: What is the units digit of 71220323?
Response: 3
Q: What is the units digit of 6829127?
Response: 7
Q: What is the tens digit of 521?
Response: 2
Q: What is the tens digit of 119116516?
Response: 1
Q: What is the hundreds d... | english |
probability: swr p level set
----------------------------
Puzzle: What is prob of picking 1 s and 1 p when two letters picked without replacement from {c: 3, s: 1, p: 3, r: 5}?
Sol: 1/22
Puzzle: What is prob of picking 3 r and 1 i when four letters picked without replacement from rirmr?
Sol: 1/5
Puzzle: Calculate prob ... | english |
probability: swr p level set
----------------------------
Situation: What is prob of picking 1 a and 1 c when two letters picked without replacement from sabbabc?
Answer: 2/21
Situation: What is prob of picking 1 y and 1 b when two letters picked without replacement from hvebvdyb?
Answer: 1/14
Situation: Four letters p... | english |
numbers: is prime
-----------------
Case: Is 388514897 composite?
Math A: True
Case: Is 17503 composite?
Math A: True
Case: Is 320264178973 a composite number?
Math A: False
Case: Is 682867 a composite number?
Math A: True
Case: Is 46199 prime?
Math A: True
Case: Is 20701 prime?
Math A: False
Case: Is 393293297 a prime... | english |
numbers: div remainder
----------------------
Math Problem: Calculate the remainder when 1635 is divided by 13.
A.: 10
Math Problem: What is the remainder when 5300 is divided by 9?
A.: 8
Math Problem: Calculate the remainder when 1381286 is divided by 46.
A.: 44
Math Problem: Calculate the remainder when 9519732 is di... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 16382547 is divided by 135?
Reply: 27
Example: What is the remainder when 18555564 is divided by 205?
Reply: 194
Example: What is the remainder when 857583 is divided by 537?
Reply: 531
Example: Calculate the remainder when 1747 is divide... | english |
numbers: is prime
-----------------
Task: Is 313507 a prime number?
Result: True
Task: Is 1015517 a prime number?
Result: True
Task: Is 108245671 a composite number?
Result: False
Task: Is 1603853 a prime number?
Result: True
Task: Is 225779 a prime number?
Result: True
Task: Is 63914 composite?
Result: True
Task: Is 2... | english |
probability: swr p level set
----------------------------
Subject: Four letters picked without replacement from {e: 3, f: 9, g: 2, o: 1, j: 4}. What is prob of picking 2 j and 2 e?
Answer: 3/646
Subject: Three letters picked without replacement from xeexxxaxxxaaeaxexxx. Give prob of picking 1 x and 2 e.
Answer: 22/323
... | english |
numbers: place value
--------------------
Item: What is the hundred thousands digit of 190407?
Compute: 1
Item: What is the billions digit of 2053160126?
Compute: 2
Item: What is the hundreds digit of 605?
Compute: 6
Item: What is the tens digit of 2665923?
Compute: 2
Item: What is the tens digit of 4092819?
Compute: 1... | english |
numbers: is prime
-----------------
Scenario: Is 14656463 prime?
Finding: True
Scenario: Is 491422 a composite number?
Finding: True
Scenario: Is 6299 a prime number?
Finding: True
Scenario: Is 299283 prime?
Finding: False
Scenario: Is 1186556911 a composite number?
Finding: False
Scenario: Is 97154623 a composite numb... | english |
numbers: gcd
------------
Given: Calculate the highest common factor of 12280 and 1779065.
Solution: 1535
Given: Calculate the greatest common divisor of 7584 and 576.
Solution: 96
Given: Calculate the highest common factor of 78 and 26.
Solution: 26
Given: Calculate the highest common divisor of 361 and 219696297.
Sol... | english |
numbers: is prime
-----------------
Exercise: Is 322810723 a prime number?
Workthrough: True
Exercise: Is 143463767 a prime number?
Workthrough: False
Exercise: Is 27181519 a composite number?
Workthrough: True
Exercise: Is 41019241 composite?
Workthrough: False
Exercise: Is 177418697 a composite number?
Workthrough: T... | english |
numbers: gcd
------------
Math Problem: Calculate the highest common divisor of 1019235 and 30.
Answer: 15
Math Problem: Calculate the highest common divisor of 915 and 17568.
Answer: 183
Math Problem: What is the highest common divisor of 131 and 5371?
Answer: 131
Math Problem: What is the greatest common divisor of 6... | english |
numbers: is factor
------------------
Conundrum: Does 99 divide 963088533?
Sol: True
Conundrum: Is 114 a factor of 31389330?
Sol: True
Conundrum: Is 961 a factor of 9023790?
Sol: True
Conundrum: Is 12 a factor of 217103765?
Sol: False
Conundrum: Is 28130891 a multiple of 6?
Sol: False
Conundrum: Is 153 a multiple of 23... | english |
probability: swr p level set
----------------------------
Qn: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from ccxcxxxxw.
Answer: 5/21
Qn: Calculate prob of picking 2 z when two letters picked without replacement from zzuzuuuuuuu.
Answer: 3/55
Qn: Four letters picked without repla... | english |
probability: swr p sequence
---------------------------
Math Q: Two letters picked without replacement from chj. What is prob of sequence jc?
→: 1/6
Math Q: Calculate prob of sequence aala when four letters picked without replacement from {l: 7, a: 7}.
→: 35/572
Math Q: Three letters picked without replacement from {z:... | english |
numbers: is factor
------------------
Ask: Does 13 divide 14960525?
Calculation: False
Ask: Is 516697 a multiple of 1585?
Calculation: False
Ask: Does 57 divide 8981?
Calculation: False
Ask: Is 15 a factor of 407538?
Calculation: False
Ask: Is 1263690 a multiple of 95?
Calculation: True
Ask: Does 15 divide 273?
Calcula... | english |
probability: swr p level set
----------------------------
Q-: Four letters picked without replacement from iiiwwiwwwwiwiiwiwwi. Give prob of picking 4 w.
A: 35/646
Q-: Calculate prob of picking 1 k, 1 r, and 1 u when three letters picked without replacement from {g: 1, k: 1, r: 3, u: 2, w: 8, a: 2}.
A: 3/340
Q-: Three ... | english |
measurement: time
-----------------
What if: What is 432 minutes after 1:55 PM?
Interpretation: 9:07 PM
What if: How many minutes are there between 10:54 PM and 6:03 AM?
Interpretation: 429
What if: How many minutes are there between 2:09 PM and 3:31 PM?
Interpretation: 82
What if: What is 420 minutes before 10:31 PM?
... | english |
numbers: place value
--------------------
Prompt: What is the hundreds digit of 19966?
Yields: 9
Prompt: What is the hundreds digit of 201128?
Yields: 1
Prompt: What is the hundreds digit of 200569?
Yields: 5
Prompt: What is the hundreds digit of 437023?
Yields: 0
Prompt: What is the tens digit of 708?
Yields: 0
Prompt... | english |
numbers: is factor
------------------
Let us solve: Is 44 a factor of 142928808?
Response: True
Let us solve: Does 17 divide 16422?
Response: True
Let us solve: Is 263159 a multiple of 9?
Response: False
Let us solve: Does 9 divide 1305?
Response: True
Let us solve: Does 17 divide 2001761?
Response: False
Let us solve:... | english |
numbers: place value
--------------------
Issue: What is the hundreds digit of 14288?
= : 2
Issue: What is the tens digit of 11939885?
= : 8
Issue: What is the hundreds digit of 9792?
= : 7
Issue: What is the hundred thousands digit of 11915730?
= : 9
Issue: What is the hundreds digit of 61893431?
= : 4
Issue: What is ... | english |
numbers: is factor
------------------
Part A: Is 224 a multiple of 7?
Final Answer: True
Part A: Does 12 divide 120516?
Final Answer: True
Part A: Is 32014 a multiple of 4?
Final Answer: False
Part A: Is 1294 a factor of 30272442?
Final Answer: False
Part A: Does 5 divide 266?
Final Answer: False
Part A: Does 1126 divi... | english |
measurement: conversion
-----------------------
What if: What is 5.83177um in meters?
Ans: 0.00000583177
What if: What is 0.01229 milligrams in micrograms?
Ans: 12.29
What if: What is nineteen quarters of a millimeter in micrometers?
Ans: 4750
What if: What is fifty-one quarters of a meter in millimeters?
Ans: 12750
Wh... | english |
probability: swr p level set
----------------------------
Q): Calculate prob of picking 1 o, 1 e, 1 a, and 1 t when four letters picked without replacement from {g: 1, e: 1, b: 1, o: 1, a: 2, t: 1}.
Calculation: 2/35
Q): Four letters picked without replacement from hbddxjxyj. Give prob of picking 1 x, 1 d, 1 j, and 1 y... | english |
numbers: place value
--------------------
Test item: What is the thousands digit of 178079?
Solution: 8
Test item: What is the thousands digit of 5746437?
Solution: 6
Test item: What is the tens digit of 982?
Solution: 8
Test item: What is the units digit of 670?
Solution: 0
Test item: What is the hundred thousands dig... | english |
numbers: gcd
------------
Issue: What is the highest common factor of 1964 and 20065697?
A: 491
Issue: What is the highest common factor of 128 and 8000?
A: 64
Issue: What is the highest common divisor of 4916 and 284?
A: 4
Issue: What is the greatest common factor of 862476752 and 3505?
A: 701
Issue: What is the highe... | english |
measurement: conversion
-----------------------
Problem #: What is sixty-one halves of a meter in millimeters?
Ans: 30500
Problem #: Convert 0.874138 litres to millilitres.
Ans: 874.138
Problem #: What is 3355.462 litres in millilitres?
Ans: 3355462
Problem #: What is 4.866797 millimeters in kilometers?
Ans: 0.00000486... | english |
numbers: gcd
------------
Qn: Calculate the greatest common divisor of 6142 and 4316.
Therefore: 166
Qn: Calculate the greatest common divisor of 207705 and 183.
Therefore: 183
Qn: What is the greatest common divisor of 1660 and 4?
Therefore: 4
Qn: Calculate the highest common divisor of 9342 and 108.
Therefore: 54
Qn:... | english |
numbers: is prime
-----------------
Task: Is 65987497 composite?
Calculation: False
Task: Is 5346769913 composite?
Calculation: True
Task: Is 17894317 composite?
Calculation: True
Task: Is 49519 a prime number?
Calculation: False
Task: Is 10063297 prime?
Calculation: False
Task: Is 11 prime?
Calculation: True
Task: Is ... | english |
probability: swr p level set
----------------------------
Exercise: Calculate prob of picking 3 n when three letters picked without replacement from {e: 4, h: 1, n: 6}.
Reply: 4/33
Exercise: Two letters picked without replacement from {w: 7, m: 3, l: 1, x: 1, h: 4, g: 2}. Give prob of picking 1 h and 1 m.
Reply: 4/51
E... | english |
numbers: div remainder
----------------------
Example: What is the remainder when 425953 is divided by 2565?
Response: 163
Example: What is the remainder when 7409814 is divided by 187?
Response: 126
Example: What is the remainder when 952 is divided by 20?
Response: 12
Example: Calculate the remainder when 846720 is d... | english |
arithmetic: nearest integer root
--------------------------------
Qn: What is the cube root of 86580 to the nearest integer?
Calculation: 44
Qn: What is 1010731363 to the power of 1/7, to the nearest integer?
Calculation: 19
Qn: What is the fifth root of 3442343 to the nearest integer?
Calculation: 20
Qn: What is the c... | english |
numbers: is prime
-----------------
Test item: Is 383011 composite?
Math A: False
Test item: Is 394202 a prime number?
Math A: False
Test item: Is 2243 prime?
Math A: True
Test item: Is 443710481 a prime number?
Math A: True
Test item: Is 40381 a prime number?
Math A: False
Test item: Is 3199503673 a prime number?
Math... | english |
measurement: time
-----------------
Example: How many minutes are there between 8:59 AM and 12:26 PM?
Final Answer: 207
Example: How many minutes are there between 5:46 AM and 3:58 PM?
Final Answer: 612
Example: How many minutes are there between 6:11 AM and 5:03 PM?
Final Answer: 652
Example: What is 191 minutes befor... | english |
numbers: gcd
------------
Item: What is the greatest common divisor of 7821 and 9?
Conclusion: 9
Item: What is the highest common factor of 324 and 81?
Conclusion: 81
Item: What is the greatest common divisor of 160 and 16480?
Conclusion: 160
Item: What is the greatest common factor of 102080 and 8848?
Conclusion: 16
I... | english |
probability: swr p level set
----------------------------
Subquestion: Calculate prob of picking 1 c, 1 k, 1 b, and 1 h when four letters picked without replacement from jmcbkmhc.
Final Answer: 1/35
Subquestion: Two letters picked without replacement from mgggggggmmggmgmggg. What is prob of picking 1 g and 1 m?
Final A... | english |
numbers: lcm
------------
Step: Calculate the least common multiple of 3952 and 128364.
Calculation: 6674928
Step: Find the common denominator of 1/270 and 149/30.
Calculation: 270
Step: Calculate the smallest common multiple of 861 and 3.
Calculation: 861
Step: Find the common denominator of 27/325 and -76/93015.
Calc... | english |
numbers: place value
--------------------
Inquiry: What is the tens digit of 31593?
Result: 9
Inquiry: What is the thousands digit of 16316135?
Result: 6
Inquiry: What is the units digit of 82376?
Result: 6
Inquiry: What is the hundred millions digit of 1884395601?
Result: 8
Inquiry: What is the thousands digit of 1002... | english |
arithmetic: nearest integer root
--------------------------------
Example: What is 352 to the power of 1/7, to the nearest integer?
Derivation: 2
Example: What is 664709 to the power of 1/7, to the nearest integer?
Derivation: 7
Example: What is 1936584934 to the power of 1/2, to the nearest integer?
Derivation: 44007
... | english |
numbers: gcd
------------
Q): Calculate the highest common factor of 632 and 2544.
A: 8
Q): Calculate the greatest common factor of 939 and 505495.
A: 313
Q): Calculate the highest common factor of 1237502 and 98938.
A: 518
Q): Calculate the highest common divisor of 365 and 219.
A: 73
Q): What is the highest common fa... | english |
arithmetic: nearest integer root
--------------------------------
Q/A: What is the tenth root of 3545168 to the nearest integer?
Response: 5
Q/A: What is the seventh root of 783533886 to the nearest integer?
Response: 19
Q/A: What is the third root of 35284 to the nearest integer?
Response: 33
Q/A: What is 33004 to the... | english |
numbers: is factor
------------------
Given: Is 568595476 a multiple of 3197?
Calculation: False
Given: Does 55 divide 3795?
Calculation: True
Given: Does 9 divide 8604?
Calculation: True
Given: Is 47544 a multiple of 566?
Calculation: True
Given: Is 6124 a factor of 1742161644?
Calculation: True
Given: Is 10628800 a m... | english |
probability: swr p sequence
---------------------------
Math Problem: Two letters picked without replacement from {d: 2, h: 5}. Give prob of sequence hh.
A.: 10/21
Math Problem: Four letters picked without replacement from {c: 1, p: 5, a: 2, o: 3, v: 1, s: 1}. What is prob of sequence cpva?
A.: 1/1716
Math Problem: Two... | english |
measurement: conversion
-----------------------
Math Q: How many months are there in 4/15 of a century?
Result: 320
Math Q: How many millilitres are there in 26/5 of a litre?
Result: 5200
Math Q: How many months are there in 53/5 of a decade?
Result: 1272
Math Q: What is 7/3 of a day in minutes?
Result: 3360
Math Q: Ho... | english |
arithmetic: nearest integer root
--------------------------------
Let: What is the cube root of 9365980 to the nearest integer?
→: 211
Let: What is the square root of 2689412291 to the nearest integer?
→: 51860
Let: What is the square root of 1051809356 to the nearest integer?
→: 32432
Let: What is the ninth root of 43... | english |
probability: swr p level set
----------------------------
Exercise: What is prob of picking 1 q and 1 s when two letters picked without replacement from rksrkqsuusrqkukmsskk?
Fix: 1/19
Exercise: Three letters picked without replacement from yyjxfjehfyf. What is prob of picking 2 x and 1 h?
Fix: 0
Exercise: What is prob... | english |
numbers: is prime
-----------------
Ask: Is 5019858139 a prime number?
Calculation: True
Ask: Is 36274853891 prime?
Calculation: False
Ask: Is 636533 composite?
Calculation: False
Ask: Is 3449 composite?
Calculation: False
Ask: Is 29335279 a prime number?
Calculation: False
Ask: Is 197175349 a prime number?
Calculation... | english |
measurement: time
-----------------
Exercise: What is 611 minutes after 1:42 PM?
Output: 11:53 PM
Exercise: What is 685 minutes before 10:15 PM?
Output: 10:50 AM
Exercise: How many minutes are there between 11:10 AM and 6:44 PM?
Output: 454
Exercise: How many minutes are there between 9:53 AM and 7:52 PM?
Output: 599
E... | english |
measurement: time
-----------------
Issue: What is 690 minutes before 10:41 PM?
Soln: 11:11 AM
Issue: What is 467 minutes before 11:27 PM?
Soln: 3:40 PM
Issue: How many minutes are there between 12:59 AM and 2:02 AM?
Soln: 63
Issue: How many minutes are there between 10:11 PM and 11:43 PM?
Soln: 92
Issue: What is 445 m... | english |
numbers: place value
--------------------
Task: What is the thousands digit of 3682380616?
A: 0
Task: What is the units digit of 666560?
A: 0
Task: What is the tens digit of 659?
A: 5
Task: What is the hundred thousands digit of 471520?
A: 4
Task: What is the hundreds digit of 6856500?
A: 5
Task: What is the tens digit... | english |
numbers: place value
--------------------
Example: What is the tens digit of 2680?
A: 8
Example: What is the thousands digit of 730054?
A: 0
Example: What is the units digit of 2130?
A: 0
Example: What is the hundred millions digit of 165195594?
A: 1
Example: What is the hundreds digit of 1246?
A: 2
Example: What is th... | english |
arithmetic: nearest integer root
--------------------------------
Request: What is the cube root of 219756 to the nearest integer?
Calculation: 60
Request: What is 30612 to the power of 1/5, to the nearest integer?
Calculation: 8
Request: What is 6045 to the power of 1/5, to the nearest integer?
Calculation: 6
Request:... | english |
numbers: is factor
------------------
Step: Is 8 a factor of 1432?
Conclusion: True
Step: Is 1643 a factor of 10769865?
Conclusion: True
Step: Is 275 a multiple of 5?
Conclusion: True
Step: Does 27 divide 60883758?
Conclusion: True
Step: Is 175 a factor of 113011150?
Conclusion: True
Step: Is 10454757 a multiple of 429... | english |
probability: swr p level set
----------------------------
Q): Two letters picked without replacement from {l: 1, c: 5, w: 4, r: 1, k: 1}. Give prob of picking 2 w.
Answer: 1/11
Q): Calculate prob of picking 2 p and 2 u when four letters picked without replacement from {e: 13, p: 2, u: 3}.
Answer: 1/1020
Q): What is pro... | english |
arithmetic: nearest integer root
--------------------------------
Case: What is 177 to the power of 1/6, to the nearest integer?
Steps: 2
Case: What is 8660085 to the power of 1/3, to the nearest integer?
Steps: 205
Case: What is the square root of 7570655626 to the nearest integer?
Steps: 87010
Case: What is 329607353... | english |
numbers: is factor
------------------
Prompt: Is 32 a factor of 288090048?
Outcome: True
Prompt: Is 23 a factor of 18561?
Outcome: True
Prompt: Is 6111497 a multiple of 991?
Outcome: True
Prompt: Does 8 divide 16?
Outcome: True
Prompt: Does 7 divide 282?
Outcome: False
Prompt: Is 167 a multiple of 18?
Outcome: False
Pr... | english |
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