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numbers: place value
--------------------
Qn: What is the units digit of 1129963?
Final Answer: 3
Qn: What is the thousands digit of 101368?
Final Answer: 1
Qn: What is the tens digit of 62329?
Final Answer: 2
Qn: What is the tens digit of 1290227876?
Final Answer: 7
Qn: What is the tens digit of 1104?
Final Answer: 0
Qn: What is the tens digit of 25216?
Final Answer: 1
Qn: What is the thousands digit of 1821?
Final Answer: 1
Qn: What is the hundred thousands digit of 123078?
Final Answer: 1
Qn: What is the ten thousands digit of 100688?
Final Answer: 0
Qn: What is the hundreds digit of 118634?
Final Answer: 6
Qn: What is the tens digit of 39634?
Final Answer: 3
Qn: What is the tens digit of 122194419?
Final Answer: 1
Qn: What is the tens digit of 9600635?
Final Answer: 3
Qn: What is the hundred thousands digit of 88029646?
Final Answer: 0
Qn: What is the thousands digit of 74513?
Final Answer: 4
Qn: What is the millions digit of 5333862?
Final Answer: 5
Qn: What is the tens digit of 7384561?
Final Answer: 6
Qn: What is the thousands digit of 74563317?
Final Answer: 3
Qn: What is the hundred thousands digit of 19756027?
Final Answer: 7
Qn: What is the hundreds digit of 560183134?
Final Answer: 1
Qn: What is the hundreds digit of 479363?
Final Answer: 3
Qn: What is the thousands digit of 4274?
Final Answer: 4
Qn: What is the hundreds digit of 3647317913?
Final Answer: 9
Qn: What is the units digit of 40774?
Final Answer: 4
Qn: What is the units digit of 95346?
Final Answer: 6
Qn: What is the ten millions digit of 468237826?
Final Answer: 6
Qn: What is the thousands digit of 45222?
Final Answer: 5
Qn: What is the millions digit of 1107712?
Final Answer: 1
Qn: What is the ten thousands digit of 1841483?
Final Answer: 4
Qn: What is the hundred thousands digit of 3066604093?
Final Answer: 6
Qn: What is the ten thousands digit of 6182277?
Final Answer: 8
Qn: What is the units digit of 1836806?
Final Answer: 6
Qn: What is the hundreds digit of 27080?
Final Answer: 0
Qn: Wh
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english
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measurement: conversion
-----------------------
Prompt: What is 37136.52km in centimeters?
Final Answer: 3713652000
Prompt: How many centimeters are there in seventeen halves of a meter?
Final Answer: 850
Prompt: Convert 34.4745 centuries to months.
Final Answer: 41369.4
Prompt: What is 45/4 of a litre in millilitres?
Final Answer: 11250
Prompt: Convert 0.4115853 weeks to seconds.
Final Answer: 248926.78944
Prompt: How many milligrams are there in eleven halves of a gram?
Final Answer: 5500
Prompt: What is 3/5 of a century in years?
Final Answer: 60
Prompt: How many months are there in 21/4 of a year?
Final Answer: 63
Prompt: How many hours are there in 18/7 of a week?
Final Answer: 432
Prompt: How many micrograms are there in 0.38898 tonnes?
Final Answer: 388980000000
Prompt: How many milliseconds are there in 7.046759 minutes?
Final Answer: 422805.54
Prompt: What is 7/2 of a century in decades?
Final Answer: 35
Prompt: How many centimeters are there in 3/40 of a kilometer?
Final Answer: 7500
Prompt: What is 37753.28 litres in millilitres?
Final Answer: 37753280
Prompt: How many millimeters are there in 11/10 of a centimeter?
Final Answer: 11
Prompt: How many nanometers are there in 87111.43km?
Final Answer: 87111430000000000
Prompt: Convert 715471.5 months to centuries.
Final Answer: 596.22625
Prompt: How many years are there in fourty-one halves of a decade?
Final Answer: 205
Prompt: What is 70036.99 weeks in days?
Final Answer: 490258.93
Prompt: How many kilograms are there in 141.0072 milligrams?
Final Answer: 0.0001410072
Prompt: What is 4/3 of a week in hours?
Final Answer: 224
Prompt: What is thirteen eighths of a litre in millilitres?
Final Answer: 1625
Prompt: What is 48.6955mg in micrograms?
Final Answer: 48695.5
Prompt: Convert 0.1535033 nanometers to micrometers.
Final Answer: 0.0001535033
Prompt: What is five quarters of a litre in millilitres?
Final Answer: 1250
Prompt: What is 459.4262 litres in millilitres?
Final Answer: 459426.2
Prompt: How many mi
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english
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probability: swr p sequence
---------------------------
Question: What is prob of sequence nlt when three letters picked without replacement from {n: 1, e: 1, t: 1, a: 5, l: 1}?
Answer: 1/504
Question: Two letters picked without replacement from bbbwwwbbbbw. What is prob of sequence bb?
Answer: 21/55
Question: Calculate prob of sequence shh when three letters picked without replacement from hrrrhhrrcfrrsfff.
Answer: 1/560
Question: Calculate prob of sequence chi when three letters picked without replacement from {l: 9, a: 4, y: 2, i: 2, h: 2, c: 1}.
Answer: 1/1710
Question: Calculate prob of sequence yy when two letters picked without replacement from hhrvyryvy.
Answer: 1/12
Question: Calculate prob of sequence kwzk when four letters picked without replacement from {z: 6, w: 1, k: 12}.
Answer: 11/1292
Question: What is prob of sequence gg when two letters picked without replacement from {u: 1, g: 3, y: 5}?
Answer: 1/12
Question: Three letters picked without replacement from {u: 1, o: 2, h: 3, f: 1, n: 1, y: 3}. What is prob of sequence huf?
Answer: 1/330
Question: Calculate prob of sequence fof when three letters picked without replacement from {f: 6, o: 13}.
Answer: 65/969
Question: What is prob of sequence xx when two letters picked without replacement from xxzzzzzxzzzzxz?
Answer: 6/91
Question: What is prob of sequence js when two letters picked without replacement from {k: 3, u: 2, j: 1, e: 1, s: 3}?
Answer: 1/30
Question: Three letters picked without replacement from yexxyyexxxyyy. Give prob of sequence yex.
Answer: 5/143
Question: Three letters picked without replacement from {s: 3, h: 2, n: 8, v: 2, j: 1, k: 1}. What is prob of sequence vkv?
Answer: 1/2040
Question: What is prob of sequence itl when three letters picked without replacement from liillitl?
Answer: 1/28
Question: Calculate prob of sequence sg when two letters picked without replacement from gssgggs.
Answer: 2/7
Question: Four letters picked without replacement from {c: 7, v: 4, z: 3}. Give prob
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english
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numbers: lcm
------------
Inquiry: Find the common denominator of 107/32228 and 73/52.
Workthrough: 418964
Inquiry: Find the common denominator of -76/7095 and 103/7095.
Workthrough: 7095
Inquiry: What is the common denominator of -95/58 and -63/711950?
Workthrough: 711950
Inquiry: What is the least common multiple of 381330 and 8251?
Workthrough: 14109210
Inquiry: What is the common denominator of -71/1728 and -91/7063416?
Workthrough: 56507328
Inquiry: What is the smallest common multiple of 3230 and 20?
Workthrough: 6460
Inquiry: What is the smallest common multiple of 2868970 and 5579652?
Workthrough: 809049540
Inquiry: Find the common denominator of -8/2899 and 23/5155.
Workthrough: 14944345
Inquiry: Calculate the common denominator of 29/81 and -59/21492.
Workthrough: 64476
Inquiry: Calculate the least common multiple of 423 and 417.
Workthrough: 58797
Inquiry: Find the common denominator of -10/586553 and -49/220.
Workthrough: 11731060
Inquiry: Calculate the common denominator of -28/15 and -103/18.
Workthrough: 90
Inquiry: Calculate the common denominator of -11/12 and -43/506.
Workthrough: 3036
Inquiry: What is the common denominator of -21/260 and -35/104?
Workthrough: 520
Inquiry: Calculate the least common multiple of 56 and 43648.
Workthrough: 305536
Inquiry: Calculate the smallest common multiple of 168 and 5.
Workthrough: 840
Inquiry: Calculate the common denominator of -53/660 and -85/13002.
Workthrough: 130020
Inquiry: Find the common denominator of -68/15 and -161/60.
Workthrough: 60
Inquiry: What is the smallest common multiple of 3 and 1546?
Workthrough: 4638
Inquiry: Find the common denominator of -51/37528 and 73/216.
Workthrough: 1013256
Inquiry: What is the least common multiple of 46716 and 12953385?
Workthrough: 880830180
Inquiry: What is the lowest common multiple of 445 and 8?
Workthrough: 3560
Inquiry: What is the common denominator of 53/6 and -8/47?
Workthrough: 282
Inquiry: What is the smallest common multiple of 160 and 660?
Workthro
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english
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arithmetic: nearest integer root
--------------------------------
Challenge: What is the tenth root of 317399 to the nearest integer?
Eval: 4
Challenge: What is the third root of 9558552 to the nearest integer?
Eval: 212
Challenge: What is 68238 to the power of 1/2, to the nearest integer?
Eval: 261
Challenge: What is 224376 to the power of 1/2, to the nearest integer?
Eval: 474
Challenge: What is 933 to the power of 1/3, to the nearest integer?
Eval: 10
Challenge: What is 2253 to the power of 1/10, to the nearest integer?
Eval: 2
Challenge: What is the square root of 87278406 to the nearest integer?
Eval: 9342
Challenge: What is the square root of 129329540 to the nearest integer?
Eval: 11372
Challenge: What is 479343174 to the power of 1/5, to the nearest integer?
Eval: 54
Challenge: What is the square root of 174580 to the nearest integer?
Eval: 418
Challenge: What is the cube root of 1503353949 to the nearest integer?
Eval: 1146
Challenge: What is 21547882 to the power of 1/5, to the nearest integer?
Eval: 29
Challenge: What is 657981487 to the power of 1/2, to the nearest integer?
Eval: 25651
Challenge: What is the fifth root of 27584179 to the nearest integer?
Eval: 31
Challenge: What is the sixth root of 34470 to the nearest integer?
Eval: 6
Challenge: What is 2872146882 to the power of 1/6, to the nearest integer?
Eval: 38
Challenge: What is 23320185 to the power of 1/2, to the nearest integer?
Eval: 4829
Challenge: What is the third root of 4136 to the nearest integer?
Eval: 16
Challenge: What is the fourth root of 5218782 to the nearest integer?
Eval: 48
Challenge: What is the cube root of 31091 to the nearest integer?
Eval: 31
Challenge: What is the ninth root of 148 to the nearest integer?
Eval: 2
Challenge: What is 789609876 to the power of 1/2, to the nearest integer?
Eval: 28100
Challenge: What is the square root of 46473 to the nearest integer?
Eval: 216
Challenge: What is the tenth root of 2236158 to the nearest integer?
Eval: 4
Challenge: What is t
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english
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numbers: gcd
------------
Issue: Calculate the greatest common factor of 3002 and 418.
Ans: 38
Issue: What is the greatest common divisor of 64636609 and 1241?
Ans: 73
Issue: Calculate the greatest common factor of 12049032 and 480.
Ans: 24
Issue: Calculate the greatest common factor of 5 and 665.
Ans: 5
Issue: Calculate the greatest common divisor of 73189 and 13.
Ans: 1
Issue: Calculate the greatest common factor of 42 and 6916.
Ans: 14
Issue: What is the highest common factor of 20600 and 3000?
Ans: 200
Issue: What is the greatest common factor of 60 and 1308?
Ans: 12
Issue: Calculate the highest common factor of 136 and 104.
Ans: 8
Issue: What is the greatest common factor of 51898828 and 8180?
Ans: 1636
Issue: What is the highest common factor of 1739 and 41219?
Ans: 47
Issue: Calculate the greatest common divisor of 207 and 1484843499.
Ans: 207
Issue: Calculate the greatest common factor of 2371321 and 688.
Ans: 43
Issue: What is the greatest common divisor of 873 and 18?
Ans: 9
Issue: Calculate the greatest common factor of 875 and 48000.
Ans: 125
Issue: Calculate the greatest common divisor of 230 and 184.
Ans: 46
Issue: What is the highest common divisor of 115479 and 3524859?
Ans: 5499
Issue: What is the highest common divisor of 38355730 and 490?
Ans: 490
Issue: Calculate the highest common factor of 1752705 and 90.
Ans: 45
Issue: What is the greatest common divisor of 39052547 and 818?
Ans: 409
Issue: Calculate the greatest common divisor of 8004 and 812.
Ans: 116
Issue: What is the highest common factor of 3 and 2646?
Ans: 3
Issue: Calculate the greatest common divisor of 13431 and 8294253.
Ans: 1221
Issue: What is the greatest common factor of 182416025 and 50?
Ans: 25
Issue: What is the highest common divisor of 299780 and 22308?
Ans: 52
Issue: Calculate the highest common divisor of 191 and 26614.
Ans: 1
Issue: Calculate the highest common factor of 352 and 9493.
Ans: 11
Issue: What is the greatest common divisor of 77 and 21?
Ans: 7
Issue: What is t
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english
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arithmetic: nearest integer root
--------------------------------
Q): What is 248865 to the power of 1/2, to the nearest integer?
Sol: 499
Q): What is the square root of 116146601 to the nearest integer?
Sol: 10777
Q): What is 567646051 to the power of 1/3, to the nearest integer?
Sol: 828
Q): What is the cube root of 542591 to the nearest integer?
Sol: 82
Q): What is the third root of 2577 to the nearest integer?
Sol: 14
Q): What is the cube root of 182156206 to the nearest integer?
Sol: 567
Q): What is the cube root of 15502 to the nearest integer?
Sol: 25
Q): What is the cube root of 104372 to the nearest integer?
Sol: 47
Q): What is the tenth root of 496194349 to the nearest integer?
Sol: 7
Q): What is 5706612522 to the power of 1/10, to the nearest integer?
Sol: 9
Q): What is 58339 to the power of 1/3, to the nearest integer?
Sol: 39
Q): What is the square root of 912 to the nearest integer?
Sol: 30
Q): What is 36495 to the power of 1/4, to the nearest integer?
Sol: 14
Q): What is 1104 to the power of 1/3, to the nearest integer?
Sol: 10
Q): What is 1454829 to the power of 1/3, to the nearest integer?
Sol: 113
Q): What is 278820692 to the power of 1/2, to the nearest integer?
Sol: 16698
Q): What is 41703298 to the power of 1/3, to the nearest integer?
Sol: 347
Q): What is the sixth root of 111725 to the nearest integer?
Sol: 7
Q): What is the tenth root of 31928850 to the nearest integer?
Sol: 6
Q): What is the seventh root of 113254159 to the nearest integer?
Sol: 14
Q): What is the third root of 514764 to the nearest integer?
Sol: 80
Q): What is 223876 to the power of 1/7, to the nearest integer?
Sol: 6
Q): What is the third root of 23688 to the nearest integer?
Sol: 29
Q): What is the square root of 3688122116 to the nearest integer?
Sol: 60730
Q): What is the fourth root of 1602931492 to the nearest integer?
Sol: 200
Q): What is the third root of 1333162483 to the nearest integer?
Sol: 1101
Q): What is the cube root of 5659999 to the nearest integer?
Sol: 1
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english
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probability: swr p level set
----------------------------
Ask: Two letters picked without replacement from dddm. Give prob of picking 2 d.
Fix: 1/2
Ask: Three letters picked without replacement from ttxzwttwxvzvxkk. Give prob of picking 2 t and 1 v.
Fix: 12/455
Ask: What is prob of picking 3 u when three letters picked without replacement from {n: 6, u: 3, v: 6}?
Fix: 1/455
Ask: What is prob of picking 1 n, 1 o, and 1 c when three letters picked without replacement from {n: 2, k: 3, c: 1, o: 4}?
Fix: 1/15
Ask: Four letters picked without replacement from sssssssss. Give prob of picking 4 s.
Fix: 1
Ask: Calculate prob of picking 3 c when three letters picked without replacement from {c: 18, l: 2}.
Fix: 68/95
Ask: Two letters picked without replacement from avyarvvvvvqayeq. Give prob of picking 2 v.
Fix: 1/7
Ask: What is prob of picking 2 b when two letters picked without replacement from {u: 11, b: 3}?
Fix: 3/91
Ask: Two letters picked without replacement from {p: 2, d: 1, s: 2, w: 1}. What is prob of picking 2 p?
Fix: 1/15
Ask: Two letters picked without replacement from tevmejf. What is prob of picking 1 f and 1 v?
Fix: 1/21
Ask: Four letters picked without replacement from gngggggggggjgggjg. What is prob of picking 2 j, 1 g, and 1 n?
Fix: 1/170
Ask: Four letters picked without replacement from {h: 1, j: 11}. What is prob of picking 2 j and 2 h?
Fix: 0
Ask: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {f: 1, h: 1, u: 1}.
Fix: 1/3
Ask: Two letters picked without replacement from iiliiiiliillillllic. What is prob of picking 1 i and 1 c?
Fix: 10/171
Ask: Two letters picked without replacement from rerereeeereeeeereeee. Give prob of picking 2 e.
Fix: 21/38
Ask: Calculate prob of picking 1 d, 1 z, and 2 t when four letters picked without replacement from ztdtzdzdtdtdzttt.
Fix: 3/13
Ask: Four letters picked without replacement from pywtywyywtowtn. What is prob of picking 3 y and 1 t?
Fix: 12/1001
Ask: Calculate prob of picking 1
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english
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numbers: gcd
------------
Scenario: Calculate the greatest common factor of 182925 and 466425.
Outcome: 675
Scenario: Calculate the highest common divisor of 208 and 962.
Outcome: 26
Scenario: What is the greatest common factor of 58248 and 1129824?
Outcome: 72
Scenario: What is the greatest common divisor of 814359 and 133?
Outcome: 133
Scenario: Calculate the greatest common divisor of 870 and 23722.
Outcome: 58
Scenario: Calculate the greatest common divisor of 23393 and 157.
Outcome: 157
Scenario: Calculate the highest common divisor of 10913494 and 658.
Outcome: 94
Scenario: What is the highest common divisor of 42 and 3262791?
Outcome: 21
Scenario: Calculate the greatest common divisor of 1912 and 212960.
Outcome: 8
Scenario: What is the highest common factor of 2 and 9298944?
Outcome: 2
Scenario: What is the highest common divisor of 138 and 1173?
Outcome: 69
Scenario: Calculate the highest common divisor of 47392618 and 364.
Outcome: 182
Scenario: What is the greatest common divisor of 193 and 46513?
Outcome: 193
Scenario: Calculate the highest common factor of 11143 and 33.
Outcome: 11
Scenario: Calculate the greatest common divisor of 143 and 16808.
Outcome: 11
Scenario: Calculate the greatest common divisor of 35 and 616025816.
Outcome: 7
Scenario: What is the highest common divisor of 1183116 and 132?
Outcome: 132
Scenario: What is the highest common divisor of 7 and 763?
Outcome: 7
Scenario: Calculate the greatest common divisor of 61523809 and 31.
Outcome: 31
Scenario: Calculate the highest common factor of 15630073 and 7495.
Outcome: 1499
Scenario: Calculate the greatest common factor of 520 and 3250.
Outcome: 130
Scenario: Calculate the highest common divisor of 14350 and 679.
Outcome: 7
Scenario: Calculate the greatest common factor of 18496 and 14178340.
Outcome: 1156
Scenario: What is the highest common divisor of 453 and 771659377?
Outcome: 151
Scenario: Calculate the greatest common factor of 26414 and 1598.
Outcome: 94
Scenario: Calculate the h
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english
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measurement: conversion
-----------------------
Statement: How many kilograms are there in 3.546145g?
Key: 0.003546145
Statement: How many years are there in 27/4 of a millennium?
Key: 6750
Statement: Convert 1643.2161 hours to days.
Key: 68.4673375
Statement: How many micrograms are there in 7.926154 tonnes?
Key: 7926154000000
Statement: How many micrograms are there in 3/40 of a milligram?
Key: 75
Statement: How many millilitres are there in 21/5 of a litre?
Key: 4200
Statement: Convert 6.242546 grams to micrograms.
Key: 6242546
Statement: What is fourty-three sixths of a century in months?
Key: 8600
Statement: How many months are there in one tenth of a decade?
Key: 12
Statement: What is 80306.28 meters in millimeters?
Key: 80306280
Statement: What is 5/4 of a meter in centimeters?
Key: 125
Statement: What is 1/5 of a centimeter in millimeters?
Key: 2
Statement: What is 11/10 of a microgram in nanograms?
Key: 1100
Statement: Convert 1838122.74 milliseconds to days.
Key: 0.02127456875
Statement: How many days are there in 10/7 of a week?
Key: 10
Statement: What is 351.0158 tonnes in micrograms?
Key: 351015800000000
Statement: How many centimeters are there in thirty-three fifths of a meter?
Key: 660
Statement: Convert 75.59862mg to kilograms.
Key: 0.00007559862
Statement: Convert 1.483195 hours to nanoseconds.
Key: 5339502000000
Statement: What is 0.5931347 centuries in months?
Key: 711.76164
Statement: How many micrometers are there in 3/25 of a centimeter?
Key: 1200
Statement: How many seconds are there in 35244.57 days?
Key: 3045130848
Statement: How many grams are there in 11/4 of a kilogram?
Key: 2750
Statement: Convert 3575.995 micrometers to centimeters.
Key: 0.3575995
Statement: What is twelve sevenths of a week in minutes?
Key: 17280
Statement: What is 1/64 of a milligram in nanograms?
Key: 15625
Statement: What is 59/4 of a litre in millilitres?
Key: 14750
Statement: What is three fifths of a centimeter in micrometers?
Key: 6000
Statement: Convert 0.0256
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english
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probability: swr p level set
----------------------------
Qn: Two letters picked without replacement from immimiiwmm. What is prob of picking 1 i and 1 m?
Response: 4/9
Qn: Two letters picked without replacement from wiwilswlstyl. Give prob of picking 1 l and 1 s.
Response: 1/11
Qn: Three letters picked without replacement from gubbgudbmudmdbgm. What is prob of picking 3 u?
Response: 1/560
Qn: Three letters picked without replacement from ysvysucysvyscscyvs. What is prob of picking 1 u, 1 y, and 1 c?
Response: 5/272
Qn: Calculate prob of picking 3 m and 1 p when four letters picked without replacement from mmmppmmmmmppmp.
Response: 60/143
Qn: Four letters picked without replacement from gizgmggggimoiz. What is prob of picking 1 i, 2 m, and 1 g?
Response: 18/1001
Qn: What is prob of picking 1 f and 1 d when two letters picked without replacement from fdfcecggdgigff?
Response: 8/91
Qn: What is prob of picking 1 g and 1 s when two letters picked without replacement from {m: 2, e: 4, j: 7, g: 4, s: 1}?
Response: 4/153
Qn: Calculate prob of picking 3 f and 1 g when four letters picked without replacement from {f: 3, g: 5, a: 8}.
Response: 1/364
Qn: Two letters picked without replacement from xccxxchxcxchcxxc. Give prob of picking 2 x.
Response: 7/40
Qn: Two letters picked without replacement from cmwnnwnmynmcmn. What is prob of picking 1 y and 1 c?
Response: 2/91
Qn: Four letters picked without replacement from {s: 5, n: 3, h: 1, m: 1, i: 5}. Give prob of picking 1 h and 3 s.
Response: 2/273
Qn: Three letters picked without replacement from {v: 4, i: 2, z: 3, t: 2}. Give prob of picking 2 t and 1 i.
Response: 2/165
Qn: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {b: 2, c: 1, i: 4, w: 2, k: 2, o: 1}.
Response: 1/33
Qn: What is prob of picking 3 u and 1 g when four letters picked without replacement from ugugggggugggug?
Response: 40/1001
Qn: Two letters picked without replacement from {c: 1, d: 1, l: 2, z: 1, s: 1, k: 1}. What is
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english
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measurement: conversion
-----------------------
Puzzle: How many micrometers are there in 44/5 of a centimeter?
Compute: 88000
Puzzle: How many millilitres are there in six fifths of a litre?
Compute: 1200
Puzzle: What is 7/2 of a hour in seconds?
Compute: 12600
Puzzle: How many months are there in fourty-five quarters of a decade?
Compute: 1350
Puzzle: What is 5/8 of a millimeter in micrometers?
Compute: 625
Puzzle: What is 3/25 of a litre in millilitres?
Compute: 120
Puzzle: Convert 4.603223 kilograms to nanograms.
Compute: 4603223000000
Puzzle: How many litres are there in 762087.8ml?
Compute: 762.0878
Puzzle: Convert 0.9336109 millimeters to meters.
Compute: 0.0009336109
Puzzle: How many kilograms are there in 13/8 of a tonne?
Compute: 1625
Puzzle: What is sixteen sevenths of a week in minutes?
Compute: 23040
Puzzle: How many millennia are there in 8.297224 centuries?
Compute: 0.8297224
Puzzle: What is three tenths of a day in seconds?
Compute: 25920
Puzzle: Convert 5070.924 millennia to months.
Compute: 60851088
Puzzle: What is seven halves of a litre in millilitres?
Compute: 3500
Puzzle: Convert 52658.36 minutes to seconds.
Compute: 3159501.6
Puzzle: Convert 851.35437us to hours.
Compute: 0.000000236487325
Puzzle: What is 1/6 of a day in minutes?
Compute: 240
Puzzle: What is 7/4 of a minute in seconds?
Compute: 105
Puzzle: What is 0.1490982t in micrograms?
Compute: 149098200000
Puzzle: What is 827.9033 millennia in months?
Compute: 9934839.6
Puzzle: What is 61.69097kg in grams?
Compute: 61690.97
Puzzle: Convert 0.022326 decades to years.
Compute: 0.22326
Puzzle: How many millennia are there in 1.80588 centuries?
Compute: 0.180588
Puzzle: What is 13/4 of a millennium in years?
Compute: 3250
Puzzle: What is seven halves of a millisecond in microseconds?
Compute: 3500
Puzzle: Convert 4.595547 months to centuries.
Compute: 0.0038296225
Puzzle: How many kilograms are there in 49/5 of a tonne?
Compute: 9800
Puzzle: What is fourty-six fifths of a litre in millilitres
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english
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arithmetic: nearest integer root
--------------------------------
Question: What is the square root of 15434638 to the nearest integer?
Solution: 3929
Question: What is the cube root of 47836 to the nearest integer?
Solution: 36
Question: What is the third root of 2850609327 to the nearest integer?
Solution: 1418
Question: What is the cube root of 3076 to the nearest integer?
Solution: 15
Question: What is 688355 to the power of 1/2, to the nearest integer?
Solution: 830
Question: What is 50191994 to the power of 1/3, to the nearest integer?
Solution: 369
Question: What is 1496060799 to the power of 1/2, to the nearest integer?
Solution: 38679
Question: What is 1681 to the power of 1/5, to the nearest integer?
Solution: 4
Question: What is the square root of 416353 to the nearest integer?
Solution: 645
Question: What is the third root of 75349982 to the nearest integer?
Solution: 422
Question: What is 2138016 to the power of 1/3, to the nearest integer?
Solution: 129
Question: What is the third root of 25939864 to the nearest integer?
Solution: 296
Question: What is the third root of 5651308 to the nearest integer?
Solution: 178
Question: What is the cube root of 65551 to the nearest integer?
Solution: 40
Question: What is 2016229 to the power of 1/2, to the nearest integer?
Solution: 1420
Question: What is 1399616 to the power of 1/10, to the nearest integer?
Solution: 4
Question: What is the square root of 34004 to the nearest integer?
Solution: 184
Question: What is the cube root of 3669 to the nearest integer?
Solution: 15
Question: What is 6299 to the power of 1/9, to the nearest integer?
Solution: 3
Question: What is the square root of 623396712 to the nearest integer?
Solution: 24968
Question: What is 466 to the power of 1/10, to the nearest integer?
Solution: 2
Question: What is the tenth root of 441585493 to the nearest integer?
Solution: 7
Question: What is the ninth root of 1205192688 to the nearest integer?
Solution: 10
Question: What is 392162160 to the
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numbers: div remainder
----------------------
Input: Calculate the remainder when 2202 is divided by 170.
Output: 162
Input: What is the remainder when 70 is divided by 38?
Output: 32
Input: Calculate the remainder when 10807979 is divided by 10.
Output: 9
Input: Calculate the remainder when 2517 is divided by 98.
Output: 67
Input: What is the remainder when 1098 is divided by 10?
Output: 8
Input: What is the remainder when 921 is divided by 22?
Output: 19
Input: Calculate the remainder when 471074 is divided by 75.
Output: 74
Input: What is the remainder when 33702 is divided by 6739?
Output: 7
Input: Calculate the remainder when 491 is divided by 78.
Output: 23
Input: Calculate the remainder when 86 is divided by 47.
Output: 39
Input: Calculate the remainder when 47701090 is divided by 2015.
Output: 2010
Input: What is the remainder when 378891 is divided by 31573?
Output: 15
Input: Calculate the remainder when 440 is divided by 95.
Output: 60
Input: Calculate the remainder when 177624 is divided by 88642.
Output: 340
Input: Calculate the remainder when 28343 is divided by 13698.
Output: 947
Input: Calculate the remainder when 2579 is divided by 36.
Output: 23
Input: Calculate the remainder when 109092 is divided by 18158.
Output: 144
Input: What is the remainder when 212 is divided by 9?
Output: 5
Input: What is the remainder when 40236013 is divided by 15?
Output: 13
Input: What is the remainder when 36 is divided by 8?
Output: 4
Input: Calculate the remainder when 177538 is divided by 22.
Output: 20
Input: What is the remainder when 45548 is divided by 417?
Output: 95
Input: What is the remainder when 67 is divided by 20?
Output: 7
Input: What is the remainder when 58 is divided by 14?
Output: 2
Input: Calculate the remainder when 67479 is divided by 16840.
Output: 119
Input: Calculate the remainder when 4149 is divided by 67.
Output: 62
Input: What is the remainder when 12840761 is divided by 34242?
Output: 11
Input: Calculate the remainder when 15433 is divid
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numbers: place value
--------------------
Problem #: What is the thousands digit of 5684?
Eval: 5
Problem #: What is the thousands digit of 52473115?
Eval: 3
Problem #: What is the hundreds digit of 208?
Eval: 2
Problem #: What is the tens digit of 14604442?
Eval: 4
Problem #: What is the thousands digit of 1124146?
Eval: 4
Problem #: What is the thousands digit of 1271?
Eval: 1
Problem #: What is the hundreds digit of 380728792?
Eval: 7
Problem #: What is the ten thousands digit of 91686?
Eval: 9
Problem #: What is the thousands digit of 11039?
Eval: 1
Problem #: What is the thousands digit of 31092464?
Eval: 2
Problem #: What is the hundred thousands digit of 48337955?
Eval: 3
Problem #: What is the hundreds digit of 96793?
Eval: 7
Problem #: What is the units digit of 3461?
Eval: 1
Problem #: What is the thousands digit of 37899795?
Eval: 9
Problem #: What is the tens digit of 264782?
Eval: 8
Problem #: What is the tens digit of 284808?
Eval: 0
Problem #: What is the hundreds digit of 30369?
Eval: 3
Problem #: What is the tens digit of 18908?
Eval: 0
Problem #: What is the units digit of 32370408?
Eval: 8
Problem #: What is the units digit of 1375?
Eval: 5
Problem #: What is the units digit of 7769529?
Eval: 9
Problem #: What is the ten thousands digit of 27173664?
Eval: 7
Problem #: What is the units digit of 9875?
Eval: 5
Problem #: What is the thousands digit of 23991?
Eval: 3
Problem #: What is the hundred thousands digit of 1511292826?
Eval: 2
Problem #: What is the hundreds digit of 50124?
Eval: 1
Problem #: What is the hundred thousands digit of 126754?
Eval: 1
Problem #: What is the thousands digit of 33798?
Eval: 3
Problem #: What is the ten thousands digit of 12405?
Eval: 1
Problem #: What is the tens digit of 7793155?
Eval: 5
Problem #: What is the hundreds digit of 560894920?
Eval: 9
Problem #: What is the ten thousands digit of 956779?
Eval: 5
Problem #: What is the hundred thousands digit of 1819098?
Eval: 8
Problem #: What is the hundreds digit of
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numbers: is prime
-----------------
Task: Is 25599131969 a composite number?
Solution: True
Task: Is 150258271 a prime number?
Solution: False
Task: Is 4590661 prime?
Solution: True
Task: Is 416971999 prime?
Solution: True
Task: Is 93415222 composite?
Solution: True
Task: Is 1068611 a prime number?
Solution: True
Task: Is 146301 prime?
Solution: False
Task: Is 1025093 a prime number?
Solution: True
Task: Is 144679 prime?
Solution: False
Task: Is 156493343 a prime number?
Solution: False
Task: Is 2839265771 a composite number?
Solution: False
Task: Is 244433341 a composite number?
Solution: False
Task: Is 4781911 a prime number?
Solution: True
Task: Is 8611 composite?
Solution: True
Task: Is 3325568711 a composite number?
Solution: True
Task: Is 2156425597 prime?
Solution: True
Task: Is 393702083 a composite number?
Solution: False
Task: Is 435619 prime?
Solution: True
Task: Is 810665435 composite?
Solution: True
Task: Is 2074368311 composite?
Solution: False
Task: Is 13773314119 a prime number?
Solution: False
Task: Is 4580269 composite?
Solution: False
Task: Is 47674927 composite?
Solution: True
Task: Is 106087 prime?
Solution: True
Task: Is 80071 prime?
Solution: True
Task: Is 95298953 composite?
Solution: True
Task: Is 405276371 a prime number?
Solution: True
Task: Is 28739 prime?
Solution: False
Task: Is 141157 prime?
Solution: True
Task: Is 25161161 a composite number?
Solution: False
Task: Is 202259719 composite?
Solution: False
Task: Is 65413531 composite?
Solution: True
Task: Is 8559918667 a composite number?
Solution: False
Task: Is 43261 a composite number?
Solution: False
Task: Is 31754 a composite number?
Solution: True
Task: Is 11647 composite?
Solution: True
Task: Is 224797 composite?
Solution: False
Task: Is 1070179003 a composite number?
Solution: True
Task: Is 4843 prime?
Solution: False
Task: Is 11446040703 a prime number?
Solution: False
Task: Is 1055 a prime number?
Solution: False
Task: Is 13487 a prime number?
Solution: True
Task: Is 19263 a co
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numbers: is prime
-----------------
Conundrum: Is 87883 a prime number?
Solution: False
Conundrum: Is 51943 a prime number?
Solution: False
Conundrum: Is 1801 a prime number?
Solution: True
Conundrum: Is 101378371 a prime number?
Solution: True
Conundrum: Is 10034506681 a composite number?
Solution: True
Conundrum: Is 913591 a composite number?
Solution: True
Conundrum: Is 100544263 prime?
Solution: True
Conundrum: Is 11364133573 prime?
Solution: False
Conundrum: Is 800971 a prime number?
Solution: True
Conundrum: Is 18654967 prime?
Solution: False
Conundrum: Is 7134403 prime?
Solution: False
Conundrum: Is 736237 composite?
Solution: True
Conundrum: Is 13224781 a prime number?
Solution: False
Conundrum: Is 1051481647 composite?
Solution: False
Conundrum: Is 1199329 composite?
Solution: False
Conundrum: Is 20019 a prime number?
Solution: False
Conundrum: Is 7531537031 prime?
Solution: False
Conundrum: Is 6190505 composite?
Solution: True
Conundrum: Is 46885421809 prime?
Solution: True
Conundrum: Is 52993 composite?
Solution: True
Conundrum: Is 2495749 a composite number?
Solution: False
Conundrum: Is 3791 a composite number?
Solution: True
Conundrum: Is 3280565 prime?
Solution: False
Conundrum: Is 1650070733 a prime number?
Solution: True
Conundrum: Is 342179 a prime number?
Solution: True
Conundrum: Is 72133 prime?
Solution: False
Conundrum: Is 2321837 composite?
Solution: True
Conundrum: Is 1070067151 composite?
Solution: False
Conundrum: Is 1726 prime?
Solution: False
Conundrum: Is 63327073 a prime number?
Solution: False
Conundrum: Is 23801 a prime number?
Solution: True
Conundrum: Is 9199613 a composite number?
Solution: True
Conundrum: Is 262087 composite?
Solution: True
Conundrum: Is 40681231 a composite number?
Solution: True
Conundrum: Is 341369 prime?
Solution: False
Conundrum: Is 17174933 a prime number?
Solution: True
Conundrum: Is 44126875193 a prime number?
Solution: False
Conundrum: Is 12241221313 composite?
Solution: False
Conundrum: Is 903561917 comp
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measurement: conversion
-----------------------
Inquiry: How many millimeters are there in 17/2 of a centimeter?
Soln: 85
Inquiry: What is thirty-one fifths of a litre in millilitres?
Soln: 6200
Inquiry: What is 21/4 of a kilogram in grams?
Soln: 5250
Inquiry: What is 52/5 of a litre in millilitres?
Soln: 10400
Inquiry: What is 4/3 of a decade in months?
Soln: 160
Inquiry: How many micrograms are there in seven eighths of a milligram?
Soln: 875
Inquiry: What is fourty-six fifths of a minute in seconds?
Soln: 552
Inquiry: How many micrometers are there in 3/10 of a millimeter?
Soln: 300
Inquiry: How many months are there in 10/3 of a decade?
Soln: 400
Inquiry: How many micrometers are there in three tenths of a millimeter?
Soln: 300
Inquiry: What is 5467.308km in centimeters?
Soln: 546730800
Inquiry: What is 4233.42 months in decades?
Soln: 35.2785
Inquiry: How many decades are there in 1.2493155 months?
Soln: 0.0104109625
Inquiry: What is 11/8 of a tonne in kilograms?
Soln: 1375
Inquiry: What is one twentieth of a millennium in months?
Soln: 600
Inquiry: Convert 0.1443614 micrometers to nanometers.
Soln: 144.3614
Inquiry: Convert 1485.1272 months to centuries.
Soln: 1.237606
Inquiry: How many micrograms are there in 7/2 of a milligram?
Soln: 3500
Inquiry: How many micrometers are there in fifty-one quarters of a millimeter?
Soln: 12750
Inquiry: How many minutes are there in 172515.3 nanoseconds?
Soln: 0.000002875255
Inquiry: Convert 3650.011mg to nanograms.
Soln: 3650011000
Inquiry: Convert 603610.5um to meters.
Soln: 0.6036105
Inquiry: How many microseconds are there in 5.002958 days?
Soln: 432255571200
Inquiry: How many nanometers are there in six fifths of a micrometer?
Soln: 1200
Inquiry: What is 33.85881 months in millennia?
Soln: 0.0028215675
Inquiry: How many kilograms are there in 0.71234mg?
Soln: 0.00000071234
Inquiry: What is six fifths of a litre in millilitres?
Soln: 1200
Inquiry: How many millilitres are there in 61/2 of a litre?
Soln: 30500
Inquiry: Co
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probability: swr p sequence
---------------------------
Task: Two letters picked without replacement from rriqrrqrrrkrrkkkqr. What is prob of sequence ir?
Result: 5/153
Task: What is prob of sequence sffs when four letters picked without replacement from sfffffffffffsfsfssf?
Result: 455/11628
Task: What is prob of sequence auq when three letters picked without replacement from uqqanqqnqugq?
Result: 1/110
Task: What is prob of sequence ll when two letters picked without replacement from {l: 4, w: 3}?
Result: 2/7
Task: What is prob of sequence vnv when three letters picked without replacement from {v: 10, n: 5, g: 4}?
Result: 25/323
Task: What is prob of sequence yyf when three letters picked without replacement from {f: 2, w: 3, y: 4}?
Result: 1/21
Task: Three letters picked without replacement from {v: 2, c: 6, f: 2, k: 2, j: 3}. What is prob of sequence jvf?
Result: 2/455
Task: Four letters picked without replacement from xxexee. Give prob of sequence exxx.
Result: 1/20
Task: Three letters picked without replacement from {x: 2, s: 5, w: 1, t: 1, n: 6}. What is prob of sequence tnx?
Result: 2/455
Task: What is prob of sequence njj when three letters picked without replacement from jjknnkjkonono?
Result: 2/143
Task: Two letters picked without replacement from {m: 4, v: 3, r: 4}. What is prob of sequence vr?
Result: 6/55
Task: Three letters picked without replacement from {d: 3, r: 1, y: 2, c: 6}. What is prob of sequence drd?
Result: 1/220
Task: Four letters picked without replacement from {w: 1, b: 2, m: 2, o: 5, a: 4, r: 1}. Give prob of sequence rabm.
Result: 2/4095
Task: Calculate prob of sequence qqqc when four letters picked without replacement from {q: 18, c: 1}.
Result: 1/19
Task: Two letters picked without replacement from wnnwnnwwpw. What is prob of sequence pn?
Result: 2/45
Task: Calculate prob of sequence xww when three letters picked without replacement from wwwxx.
Result: 1/5
Task: Four letters picked without replacement from {u: 7, h: 1}. Give prob of
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|
numbers: lcm
------------
Math Problem: Calculate the least common multiple of 573 and 6.
Ans: 1146
Math Problem: What is the common denominator of 91/102 and -36/833?
Ans: 4998
Math Problem: What is the common denominator of -13/9475372 and -119/6?
Ans: 28426116
Math Problem: What is the lowest common multiple of 576 and 16?
Ans: 576
Math Problem: Find the common denominator of 97/8250 and -61/66.
Ans: 8250
Math Problem: What is the lowest common multiple of 2712 and 106860?
Ans: 24150360
Math Problem: What is the lowest common multiple of 12 and 96?
Ans: 96
Math Problem: Calculate the lowest common multiple of 12761660 and 2686.
Ans: 216948220
Math Problem: Calculate the smallest common multiple of 8283 and 24477.
Ans: 67580997
Math Problem: What is the lowest common multiple of 224 and 78288?
Ans: 156576
Math Problem: Calculate the least common multiple of 2601780 and 588558.
Ans: 606214740
Math Problem: Calculate the common denominator of 137/1050036 and 1/18603.
Ans: 9450324
Math Problem: Find the common denominator of 92/15 and 95/126.
Ans: 630
Math Problem: Calculate the common denominator of -47/60 and 83/2450.
Ans: 14700
Math Problem: Find the common denominator of -11/36 and 7/9.
Ans: 36
Math Problem: Calculate the lowest common multiple of 24 and 16.
Ans: 48
Math Problem: What is the common denominator of 89/4 and -47/367233?
Ans: 1468932
Math Problem: Calculate the common denominator of -46/5109 and 47/188550.
Ans: 321100650
Math Problem: Calculate the common denominator of 97/996 and -41/16800.
Ans: 1394400
Math Problem: What is the lowest common multiple of 183645 and 7?
Ans: 183645
Math Problem: What is the smallest common multiple of 6 and 207164?
Ans: 621492
Math Problem: What is the smallest common multiple of 71 and 172192?
Ans: 12225632
Math Problem: Calculate the lowest common multiple of 59359800 and 24600.
Ans: 59359800
Math Problem: Calculate the lowest common multiple of 51 and 18.
Ans: 306
Math Problem: Calculate the common denominator of -
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english
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numbers: is prime
-----------------
Issue: Is 2285719337 a prime number?
Workthrough: False
Issue: Is 15814 composite?
Workthrough: True
Issue: Is 1509331 prime?
Workthrough: True
Issue: Is 461542339 a composite number?
Workthrough: False
Issue: Is 2435491 prime?
Workthrough: False
Issue: Is 605257 a composite number?
Workthrough: False
Issue: Is 3816579059 a composite number?
Workthrough: False
Issue: Is 16677509 prime?
Workthrough: False
Issue: Is 952385107 a composite number?
Workthrough: False
Issue: Is 2921119 prime?
Workthrough: False
Issue: Is 209500427 a prime number?
Workthrough: True
Issue: Is 5754449 prime?
Workthrough: False
Issue: Is 14699 a composite number?
Workthrough: False
Issue: Is 293389412815 prime?
Workthrough: False
Issue: Is 452560217627 a prime number?
Workthrough: False
Issue: Is 2965679323 a composite number?
Workthrough: True
Issue: Is 2740087 a prime number?
Workthrough: False
Issue: Is 24515 a composite number?
Workthrough: True
Issue: Is 55425007 prime?
Workthrough: False
Issue: Is 24078029321 a composite number?
Workthrough: True
Issue: Is 124605781873 composite?
Workthrough: False
Issue: Is 428163535 a composite number?
Workthrough: True
Issue: Is 87083 prime?
Workthrough: True
Issue: Is 162649 composite?
Workthrough: False
Issue: Is 4842455117 a prime number?
Workthrough: False
Issue: Is 387807289 a composite number?
Workthrough: False
Issue: Is 8833271149 a composite number?
Workthrough: False
Issue: Is 610803883 a prime number?
Workthrough: True
Issue: Is 60887 composite?
Workthrough: False
Issue: Is 250355303 composite?
Workthrough: True
Issue: Is 17212201 prime?
Workthrough: True
Issue: Is 654763037 a prime number?
Workthrough: True
Issue: Is 13051131803 a prime number?
Workthrough: False
Issue: Is 302891 composite?
Workthrough: False
Issue: Is 3574037 composite?
Workthrough: False
Issue: Is 16871 a composite number?
Workthrough: False
Issue: Is 14197 composite?
Workthrough: False
Issue: Is 196266251 composite?
Workthrough: True
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probability: swr p level set
----------------------------
Case: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from iibwwcpoioww.
Resolution: 1/33
Case: Four letters picked without replacement from nnnnnjjjjjnjnjnnnnjz. Give prob of picking 2 n, 1 j, and 1 z.
Resolution: 88/969
Case: Four letters picked without replacement from bnesbneebbebsbbsnne. Give prob of picking 2 n and 2 b.
Resolution: 21/646
Case: What is prob of picking 3 b when three letters picked without replacement from {q: 3, b: 4}?
Resolution: 4/35
Case: Four letters picked without replacement from ssux. Give prob of picking 1 x and 3 s.
Resolution: 0
Case: Calculate prob of picking 2 o when two letters picked without replacement from oooooooooooooootooo.
Resolution: 17/19
Case: Calculate prob of picking 1 q, 1 t, 1 m, and 1 p when four letters picked without replacement from pabpttttpmqpbbqqp.
Resolution: 3/119
Case: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {s: 4, t: 1, e: 6, a: 3, h: 2, w: 2}.
Resolution: 2/51
Case: Three letters picked without replacement from {p: 1, w: 4, h: 3, d: 2, m: 1}. What is prob of picking 1 m and 2 h?
Resolution: 1/55
Case: Four letters picked without replacement from {r: 1, j: 1, v: 2, a: 1, s: 1, h: 1}. Give prob of picking 1 j, 2 v, and 1 s.
Resolution: 1/35
Case: Four letters picked without replacement from {b: 1, e: 1, t: 9}. Give prob of picking 1 e, 2 t, and 1 b.
Resolution: 6/55
Case: Four letters picked without replacement from wttwwwwtwtwwwwwt. What is prob of picking 4 t?
Resolution: 1/364
Case: Two letters picked without replacement from {n: 3, r: 3}. What is prob of picking 2 r?
Resolution: 1/5
Case: What is prob of picking 1 p, 2 g, and 1 t when four letters picked without replacement from gppgpigiitp?
Resolution: 2/55
Case: Two letters picked without replacement from ddlddldd. What is prob of picking 1 l and 1 d?
Resolution: 3/7
Case: Two letters picked without replacement fro
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|
probability: swr p sequence
---------------------------
What if: Calculate prob of sequence mc when two letters picked without replacement from mmccgmcmmmmb.
Conclusion: 7/44
What if: Calculate prob of sequence lxvl when four letters picked without replacement from {v: 5, a: 5, n: 2, x: 1, q: 1, l: 5}.
Conclusion: 25/23256
What if: What is prob of sequence ff when two letters picked without replacement from fwwf?
Conclusion: 1/6
What if: Four letters picked without replacement from xnzvxcbvn. Give prob of sequence nxcb.
Conclusion: 1/756
What if: Calculate prob of sequence ixx when three letters picked without replacement from {u: 2, q: 2, i: 3, x: 4}.
Conclusion: 2/55
What if: Three letters picked without replacement from wkiwwhixkliiki. What is prob of sequence ixw?
Conclusion: 5/728
What if: Two letters picked without replacement from {c: 11, v: 4, e: 3}. Give prob of sequence cc.
Conclusion: 55/153
What if: What is prob of sequence re when two letters picked without replacement from frfrrffffrrref?
Conclusion: 3/91
What if: Four letters picked without replacement from {x: 2, w: 1, e: 4, u: 6, c: 3}. What is prob of sequence xceu?
Conclusion: 3/910
What if: Two letters picked without replacement from {v: 3, s: 1, c: 5}. What is prob of sequence cv?
Conclusion: 5/24
What if: Three letters picked without replacement from {m: 4, e: 3, l: 2, k: 1, z: 9}. What is prob of sequence lzz?
Conclusion: 8/323
What if: Three letters picked without replacement from {o: 5, s: 11}. What is prob of sequence oso?
Conclusion: 11/168
What if: Calculate prob of sequence ihi when three letters picked without replacement from {i: 8, h: 3}.
Conclusion: 28/165
What if: Two letters picked without replacement from {c: 4, s: 5, m: 3, x: 1}. Give prob of sequence cc.
Conclusion: 1/13
What if: Two letters picked without replacement from {k: 4, n: 2}. Give prob of sequence nn.
Conclusion: 1/15
What if: Calculate prob of sequence ua when two letters picked without replacement from {m: 7, u: 2,
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english
|
numbers: is factor
------------------
Inquiry: Is 527085 a multiple of 1105?
Steps: True
Inquiry: Is 16461530 a multiple of 252?
Steps: False
Inquiry: Does 168 divide 397302401?
Steps: False
Inquiry: Is 13 a factor of 218254?
Steps: False
Inquiry: Is 631 a factor of 76858324?
Steps: True
Inquiry: Does 15 divide 14025?
Steps: True
Inquiry: Does 7 divide 1492?
Steps: False
Inquiry: Is 65 a factor of 80141?
Steps: False
Inquiry: Is 693 a multiple of 11?
Steps: True
Inquiry: Is 1375637 a multiple of 84?
Steps: False
Inquiry: Is 2070 a multiple of 115?
Steps: True
Inquiry: Is 4 a factor of 644?
Steps: True
Inquiry: Is 31 a factor of 1366?
Steps: False
Inquiry: Does 5 divide 1903985?
Steps: True
Inquiry: Is 8 a factor of 86553880?
Steps: True
Inquiry: Is 91 a factor of 30587?
Steps: False
Inquiry: Is 1488 a multiple of 80?
Steps: False
Inquiry: Does 4701 divide 2719238612?
Steps: False
Inquiry: Is 358 a factor of 3952320?
Steps: True
Inquiry: Does 3 divide 529?
Steps: False
Inquiry: Does 16 divide 694?
Steps: False
Inquiry: Is 1937 a factor of 111766141?
Steps: False
Inquiry: Is 440108029 a multiple of 6?
Steps: False
Inquiry: Is 63 a factor of 102563575?
Steps: False
Inquiry: Is 125 a factor of 367375?
Steps: True
Inquiry: Is 6 a factor of 6987?
Steps: False
Inquiry: Is 11 a factor of 95625?
Steps: False
Inquiry: Does 308 divide 702420?
Steps: False
Inquiry: Is 4303 a factor of 278325317?
Steps: False
Inquiry: Is 3969330825 a multiple of 1145?
Steps: False
Inquiry: Is 7 a factor of 7864796?
Steps: False
Inquiry: Does 4 divide 340?
Steps: True
Inquiry: Is 3 a factor of 205964?
Steps: False
Inquiry: Is 106294864 a multiple of 13?
Steps: True
Inquiry: Is 3444 a factor of 490718366?
Steps: False
Inquiry: Does 10 divide 58380?
Steps: True
Inquiry: Is 29 a factor of 203?
Steps: True
Inquiry: Does 69 divide 2026304035?
Steps: False
Inquiry: Does 14 divide 275926?
Steps: True
Inquiry: Is 1628598796 a multiple of 44?
Steps: True
Inquiry: Is 324093 a multiple of 253?
Steps: True
I
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english
|
measurement: conversion
-----------------------
Qn: How many years are there in 1/5 of a millennium?
Reply: 200
Qn: What is 0.7088025 hours in nanoseconds?
Reply: 2551689000000
Qn: How many millilitres are there in thirteen quarters of a litre?
Reply: 3250
Qn: What is 511161.5ml in litres?
Reply: 511.1615
Qn: Convert 4814.221 milligrams to grams.
Reply: 4.814221
Qn: How many micrograms are there in twenty-five quarters of a milligram?
Reply: 6250
Qn: How many nanograms are there in 790.4321t?
Reply: 790432100000000000
Qn: What is 8/25 of a kilometer in centimeters?
Reply: 32000
Qn: Convert 82.47669g to tonnes.
Reply: 0.00008247669
Qn: How many microseconds are there in 363.9223ns?
Reply: 0.3639223
Qn: What is eleven eighths of a gram in milligrams?
Reply: 1375
Qn: How many millilitres are there in 58.00499 litres?
Reply: 58004.99
Qn: How many months are there in 5/4 of a year?
Reply: 15
Qn: Convert 93.29018mm to meters.
Reply: 0.09329018
Qn: What is fourty-five halves of a litre in millilitres?
Reply: 22500
Qn: What is eighteen fifths of a litre in millilitres?
Reply: 3600
Qn: How many months are there in 0.2942702 millennia?
Reply: 3531.2424
Qn: What is 75/7 of a week in hours?
Reply: 1800
Qn: Convert 2646.192 centimeters to meters.
Reply: 26.46192
Qn: How many seconds are there in 3/8 of a day?
Reply: 32400
Qn: What is twenty-one quarters of a millennium in months?
Reply: 63000
Qn: How many grams are there in twenty-six fifths of a kilogram?
Reply: 5200
Qn: How many centimeters are there in 319.2964km?
Reply: 31929640
Qn: What is twenty-nine fifths of a millennium in years?
Reply: 5800
Qn: How many years are there in three eighths of a millennium?
Reply: 375
Qn: How many litres are there in 78.82217 millilitres?
Reply: 0.07882217
Qn: Convert 85530.26 hours to nanoseconds.
Reply: 307908936000000000
Qn: Convert 0.1751313km to centimeters.
Reply: 17513.13
Qn: How many hours are there in four sevenths of a week?
Reply: 96
Qn: How many millilitres are there in one tent
|
english
|
numbers: lcm
------------
Example: Calculate the smallest common multiple of 126214 and 5313.
Resolution: 60961362
Example: Calculate the common denominator of -11/13554 and -133/66.
Resolution: 149094
Example: Find the common denominator of -25/7644 and 101/6552.
Resolution: 45864
Example: What is the common denominator of 31/400 and -89/38700?
Resolution: 154800
Example: Calculate the smallest common multiple of 514811794 and 70.
Resolution: 2574058970
Example: Calculate the least common multiple of 62646 and 41764.
Resolution: 125292
Example: Calculate the lowest common multiple of 28 and 28.
Resolution: 28
Example: Calculate the smallest common multiple of 606140 and 60.
Resolution: 1818420
Example: Find the common denominator of 26/8865 and 67/2175.
Resolution: 1285425
Example: What is the least common multiple of 9734 and 418562?
Resolution: 418562
Example: What is the common denominator of 125/952 and 65/14?
Resolution: 952
Example: Calculate the smallest common multiple of 8 and 26580.
Resolution: 53160
Example: What is the least common multiple of 250302 and 8166?
Resolution: 340661022
Example: Find the common denominator of 77/8308 and -63/1612.
Resolution: 108004
Example: What is the smallest common multiple of 341 and 502619337?
Resolution: 502619337
Example: What is the smallest common multiple of 2976582 and 3472679?
Resolution: 20836074
Example: Calculate the common denominator of -63/1516064 and 63/12980.
Resolution: 7580320
Example: Calculate the common denominator of -31/2089423 and -34/4963.
Resolution: 2089423
Example: Calculate the smallest common multiple of 1711 and 3422.
Resolution: 3422
Example: What is the lowest common multiple of 276 and 25104?
Resolution: 577392
Example: What is the least common multiple of 44118 and 13932?
Resolution: 264708
Example: Find the common denominator of 51/2630 and -95/6.
Resolution: 7890
Example: What is the common denominator of -9/4834 and 55/6?
Resolution: 14502
Example: Find the common denominator of -31
|
english
|
numbers: is factor
------------------
Problem: Is 14 a factor of 3276?
Calculation: True
Problem: Is 106 a factor of 1670560?
Calculation: True
Problem: Is 69 even?
Calculation: False
Problem: Does 96 divide 8544?
Calculation: True
Problem: Is 59 a factor of 85255?
Calculation: True
Problem: Is 168 a factor of 2061036432?
Calculation: True
Problem: Is 26377 a multiple of 166?
Calculation: False
Problem: Is 1404 a multiple of 13?
Calculation: True
Problem: Does 38 divide 91078?
Calculation: False
Problem: Is 14413 a multiple of 29?
Calculation: True
Problem: Is 18 a factor of 773658?
Calculation: True
Problem: Is 1725 a multiple of 31?
Calculation: False
Problem: Does 4 divide 1399?
Calculation: False
Problem: Is 40 a factor of 3836?
Calculation: False
Problem: Is 145226441 a multiple of 13?
Calculation: False
Problem: Is 138 a factor of 7383000?
Calculation: True
Problem: Is 206 a factor of 167066?
Calculation: True
Problem: Is 23 a factor of 53944?
Calculation: False
Problem: Is 5 a factor of 55235?
Calculation: True
Problem: Is 25 a factor of 34096325?
Calculation: True
Problem: Is 2 a factor of 29393?
Calculation: False
Problem: Is 830677305 a multiple of 5?
Calculation: True
Problem: Is 48 a factor of 746688?
Calculation: True
Problem: Does 79 divide 21438?
Calculation: False
Problem: Does 252 divide 13410?
Calculation: False
Problem: Is 11 a factor of 9207?
Calculation: True
Problem: Does 2812 divide 461016609?
Calculation: False
Problem: Is 5760 a multiple of 10?
Calculation: True
Problem: Is 6 a factor of 1480281978?
Calculation: True
Problem: Is 94 a factor of 875?
Calculation: False
Problem: Does 18 divide 466947573?
Calculation: False
Problem: Does 1190 divide 4589830?
Calculation: True
Problem: Is 5 a factor of 9274?
Calculation: False
Problem: Does 73 divide 3796?
Calculation: True
Problem: Does 29 divide 540671?
Calculation: False
Problem: Does 1776 divide 136052818?
Calculation: False
Problem: Is 140261 a multiple of 55?
Calculation: False
Problem: Is
|
english
|
numbers: div remainder
----------------------
Test item: Calculate the remainder when 54408 is divided by 27200.
Workthrough: 8
Test item: Calculate the remainder when 4083 is divided by 8.
Workthrough: 3
Test item: What is the remainder when 83822 is divided by 20916?
Workthrough: 158
Test item: What is the remainder when 14447 is divided by 112?
Workthrough: 111
Test item: Calculate the remainder when 99503 is divided by 9949.
Workthrough: 13
Test item: What is the remainder when 38 is divided by 8?
Workthrough: 6
Test item: What is the remainder when 335247 is divided by 340?
Workthrough: 7
Test item: What is the remainder when 4288 is divided by 4280?
Workthrough: 8
Test item: What is the remainder when 328970828 is divided by 1861?
Workthrough: 1858
Test item: Calculate the remainder when 802 is divided by 220.
Workthrough: 142
Test item: What is the remainder when 1212080 is divided by 563?
Workthrough: 504
Test item: Calculate the remainder when 2032 is divided by 120.
Workthrough: 112
Test item: Calculate the remainder when 9614 is divided by 1597.
Workthrough: 32
Test item: Calculate the remainder when 14126 is divided by 14035.
Workthrough: 91
Test item: What is the remainder when 123651 is divided by 141?
Workthrough: 135
Test item: What is the remainder when 2312 is divided by 144?
Workthrough: 8
Test item: Calculate the remainder when 221 is divided by 28.
Workthrough: 25
Test item: What is the remainder when 1598 is divided by 57?
Workthrough: 2
Test item: Calculate the remainder when 160 is divided by 29.
Workthrough: 15
Test item: Calculate the remainder when 510002 is divided by 33979.
Workthrough: 317
Test item: What is the remainder when 4127 is divided by 5?
Workthrough: 2
Test item: What is the remainder when 489071 is divided by 4615?
Workthrough: 4496
Test item: What is the remainder when 90399626 is divided by 7295?
Workthrough: 7281
Test item: Calculate the remainder when 13267 is divided by 93.
Workthrough: 61
Test item: What is the remaind
|
english
|
measurement: time
-----------------
Issue: How many minutes are there between 7:48 PM and 5:47 AM?
Soln: 599
Issue: What is 570 minutes after 3:37 AM?
Soln: 1:07 PM
Issue: How many minutes are there between 7:51 PM and 8:43 PM?
Soln: 52
Issue: What is 249 minutes after 5:24 PM?
Soln: 9:33 PM
Issue: What is 202 minutes after 7:34 AM?
Soln: 10:56 AM
Issue: How many minutes are there between 7:01 PM and 8:04 PM?
Soln: 63
Issue: How many minutes are there between 1:10 AM and 4:24 AM?
Soln: 194
Issue: How many minutes are there between 1:49 PM and 11:05 PM?
Soln: 556
Issue: How many minutes are there between 11:54 AM and 3:52 PM?
Soln: 238
Issue: What is 416 minutes after 12:36 PM?
Soln: 7:32 PM
Issue: How many minutes are there between 10:54 AM and 7:16 PM?
Soln: 502
Issue: How many minutes are there between 1:45 AM and 12:47 PM?
Soln: 662
Issue: What is 669 minutes after 10:25 AM?
Soln: 9:34 PM
Issue: What is 702 minutes after 9:08 AM?
Soln: 8:50 PM
Issue: What is 255 minutes after 7:44 PM?
Soln: 11:59 PM
Issue: What is 564 minutes before 8:16 AM?
Soln: 10:52 PM
Issue: What is 453 minutes after 3:29 PM?
Soln: 11:02 PM
Issue: What is 51 minutes after 3:39 AM?
Soln: 4:30 AM
Issue: What is 714 minutes before 12:04 AM?
Soln: 12:10 PM
Issue: What is 12 minutes before 12:47 AM?
Soln: 12:35 AM
Issue: How many minutes are there between 12:47 PM and 2:53 PM?
Soln: 126
Issue: What is 612 minutes before 6:26 AM?
Soln: 8:14 PM
Issue: How many minutes are there between 9:21 PM and 11:53 PM?
Soln: 152
Issue: What is 104 minutes after 12:59 PM?
Soln: 2:43 PM
Issue: How many minutes are there between 2:48 PM and 9:04 PM?
Soln: 376
Issue: What is 697 minutes before 7:41 PM?
Soln: 8:04 AM
Issue: How many minutes are there between 4:43 AM and 1:56 PM?
Soln: 553
Issue: How many minutes are there between 9:15 AM and 9:56 AM?
Soln: 41
Issue: How many minutes are there between 10:53 AM and 9:56 PM?
Soln: 663
Issue: How many minutes are there between 9:50 PM and 11:22 PM?
Soln: 92
Issue: How
|
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|
arithmetic: nearest integer root
--------------------------------
Topic: What is the third root of 81047 to the nearest integer?
Reply: 43
Topic: What is the eighth root of 159293731 to the nearest integer?
Reply: 11
Topic: What is 48836057 to the power of 1/10, to the nearest integer?
Reply: 6
Topic: What is the cube root of 1770897 to the nearest integer?
Reply: 121
Topic: What is the square root of 1154354 to the nearest integer?
Reply: 1074
Topic: What is 3094 to the power of 1/10, to the nearest integer?
Reply: 2
Topic: What is the third root of 18 to the nearest integer?
Reply: 3
Topic: What is 180510594 to the power of 1/6, to the nearest integer?
Reply: 24
Topic: What is the square root of 6583060 to the nearest integer?
Reply: 2566
Topic: What is 6563703521 to the power of 1/3, to the nearest integer?
Reply: 1872
Topic: What is the third root of 369802 to the nearest integer?
Reply: 72
Topic: What is 166 to the power of 1/2, to the nearest integer?
Reply: 13
Topic: What is 18313 to the power of 1/2, to the nearest integer?
Reply: 135
Topic: What is 17443 to the power of 1/3, to the nearest integer?
Reply: 26
Topic: What is 241082 to the power of 1/10, to the nearest integer?
Reply: 3
Topic: What is the tenth root of 433780012 to the nearest integer?
Reply: 7
Topic: What is the cube root of 1136718 to the nearest integer?
Reply: 104
Topic: What is 285073 to the power of 1/2, to the nearest integer?
Reply: 534
Topic: What is 149237456 to the power of 1/9, to the nearest integer?
Reply: 8
Topic: What is 12918 to the power of 1/8, to the nearest integer?
Reply: 3
Topic: What is the cube root of 2811167 to the nearest integer?
Reply: 141
Topic: What is 110712 to the power of 1/3, to the nearest integer?
Reply: 48
Topic: What is the third root of 1512 to the nearest integer?
Reply: 11
Topic: What is 64796 to the power of 1/8, to the nearest integer?
Reply: 4
Topic: What is 2060222 to the power of 1/5, to the nearest integer?
Reply: 18
Topic: What is 184165726 to
|
english
|
numbers: place value
--------------------
Subquestion: What is the units digit of 9713?
Ans: 3
Subquestion: What is the ten thousands digit of 265960?
Ans: 6
Subquestion: What is the ten thousands digit of 414933?
Ans: 1
Subquestion: What is the millions digit of 5759027?
Ans: 5
Subquestion: What is the millions digit of 48946305?
Ans: 8
Subquestion: What is the thousands digit of 114420?
Ans: 4
Subquestion: What is the tens digit of 246426?
Ans: 2
Subquestion: What is the tens digit of 632?
Ans: 3
Subquestion: What is the thousands digit of 2542787?
Ans: 2
Subquestion: What is the hundreds digit of 1495268?
Ans: 2
Subquestion: What is the tens digit of 125041?
Ans: 4
Subquestion: What is the tens digit of 2598742335?
Ans: 3
Subquestion: What is the hundred thousands digit of 632090?
Ans: 6
Subquestion: What is the thousands digit of 1236903852?
Ans: 3
Subquestion: What is the thousands digit of 6059?
Ans: 6
Subquestion: What is the tens digit of 36421?
Ans: 2
Subquestion: What is the units digit of 17324?
Ans: 4
Subquestion: What is the tens digit of 4943?
Ans: 4
Subquestion: What is the tens digit of 2710?
Ans: 1
Subquestion: What is the ten millions digit of 1667314270?
Ans: 6
Subquestion: What is the units digit of 362051?
Ans: 1
Subquestion: What is the units digit of 1262?
Ans: 2
Subquestion: What is the ten thousands digit of 401229?
Ans: 0
Subquestion: What is the units digit of 5530362?
Ans: 2
Subquestion: What is the ten millions digit of 173226171?
Ans: 7
Subquestion: What is the units digit of 2055285045?
Ans: 5
Subquestion: What is the units digit of 233?
Ans: 3
Subquestion: What is the hundreds digit of 3457?
Ans: 4
Subquestion: What is the units digit of 82?
Ans: 2
Subquestion: What is the hundred thousands digit of 643253?
Ans: 6
Subquestion: What is the hundred thousands digit of 950837?
Ans: 9
Subquestion: What is the units digit of 3330697?
Ans: 7
Subquestion: What is the ten thousands digit of 948026?
Ans: 4
Subquestion: What is the units digit o
|
english
|
measurement: time
-----------------
Question: What is 92 minutes after 12:34 PM?
Ans: 2:06 PM
Question: What is 167 minutes after 1:25 PM?
Ans: 4:12 PM
Question: What is 98 minutes before 7:39 AM?
Ans: 6:01 AM
Question: What is 337 minutes after 2:01 PM?
Ans: 7:38 PM
Question: How many minutes are there between 1:29 AM and 5:49 AM?
Ans: 260
Question: How many minutes are there between 11:04 PM and 9:40 AM?
Ans: 636
Question: How many minutes are there between 9:16 AM and 8:53 PM?
Ans: 697
Question: How many minutes are there between 6:14 PM and 7:31 PM?
Ans: 77
Question: How many minutes are there between 5:35 PM and 12:16 AM?
Ans: 401
Question: How many minutes are there between 4:31 PM and 3:34 AM?
Ans: 663
Question: What is 266 minutes before 2:37 PM?
Ans: 10:11 AM
Question: What is 456 minutes before 8:24 PM?
Ans: 12:48 PM
Question: What is 428 minutes after 5:23 AM?
Ans: 12:31 PM
Question: What is 625 minutes before 12:13 PM?
Ans: 1:48 AM
Question: How many minutes are there between 8:37 PM and 1:58 AM?
Ans: 321
Question: How many minutes are there between 12:23 PM and 6:23 PM?
Ans: 360
Question: How many minutes are there between 3:42 PM and 10:21 PM?
Ans: 399
Question: What is 458 minutes before 11:10 PM?
Ans: 3:32 PM
Question: What is 588 minutes after 6:31 AM?
Ans: 4:19 PM
Question: How many minutes are there between 2:32 AM and 10:08 AM?
Ans: 456
Question: What is 706 minutes before 6:58 PM?
Ans: 7:12 AM
Question: How many minutes are there between 12:27 PM and 3:00 PM?
Ans: 153
Question: What is 462 minutes before 6:44 PM?
Ans: 11:02 AM
Question: What is 405 minutes after 3:13 PM?
Ans: 9:58 PM
Question: How many minutes are there between 4:34 AM and 7:25 AM?
Ans: 171
Question: How many minutes are there between 7:29 AM and 12:50 PM?
Ans: 321
Question: How many minutes are there between 10:35 PM and 4:29 AM?
Ans: 354
Question: What is 148 minutes after 7:04 AM?
Ans: 9:32 AM
Question: What is 430 minutes after 11:25 PM?
Ans: 6:35 AM
Question: How many minut
|
english
|
probability: swr p sequence
---------------------------
Problem: Calculate prob of sequence xrj when three letters picked without replacement from {a: 1, x: 2, g: 4, j: 4, r: 5}.
Soln: 1/84
Problem: Calculate prob of sequence kwii when four letters picked without replacement from {k: 1, v: 1, i: 3, e: 1, w: 2, x: 3}.
Soln: 1/660
Problem: Calculate prob of sequence cte when three letters picked without replacement from {u: 6, g: 1, c: 3, e: 1, t: 4, b: 5}.
Soln: 1/570
Problem: Three letters picked without replacement from {e: 2, r: 1, m: 2, v: 4, o: 1}. What is prob of sequence vvr?
Soln: 1/60
Problem: Four letters picked without replacement from jxxjqjxxjqj. What is prob of sequence xjqj?
Soln: 2/99
Problem: Four letters picked without replacement from {e: 3, c: 1, o: 1, l: 3, g: 3, p: 4}. What is prob of sequence ecgo?
Soln: 1/3640
Problem: Two letters picked without replacement from {o: 1, f: 2, y: 3, z: 1}. Give prob of sequence fy.
Soln: 1/7
Problem: Four letters picked without replacement from hhhnhhhnnhhhhhh. Give prob of sequence nnnh.
Soln: 1/455
Problem: What is prob of sequence nge when three letters picked without replacement from {g: 1, n: 1, s: 4, e: 1, m: 2}?
Soln: 1/504
Problem: What is prob of sequence zq when two letters picked without replacement from {z: 3, h: 2, c: 5, q: 5, s: 1}?
Soln: 1/16
Problem: Calculate prob of sequence lboy when four letters picked without replacement from llyblop.
Soln: 1/280
Problem: Calculate prob of sequence gg when two letters picked without replacement from {g: 5}.
Soln: 1
Problem: Three letters picked without replacement from wcarricp. Give prob of sequence wcc.
Soln: 1/168
Problem: Two letters picked without replacement from ymucmuckpcccyuu. Give prob of sequence kc.
Soln: 1/42
Problem: Three letters picked without replacement from {a: 2, o: 1, v: 1}. What is prob of sequence ovo?
Soln: 0
Problem: Three letters picked without replacement from vvxvvvvxxxv. What is prob of sequence vvv?
Soln: 7/33
Problem: What is p
|
english
|
numbers: place value
--------------------
Task: What is the ten thousands digit of 536176?
Derivation: 3
Task: What is the millions digit of 1916144?
Derivation: 1
Task: What is the tens digit of 6863?
Derivation: 6
Task: What is the thousands digit of 4702245579?
Derivation: 5
Task: What is the tens digit of 152522061?
Derivation: 6
Task: What is the units digit of 153194047?
Derivation: 7
Task: What is the ten thousands digit of 13272?
Derivation: 1
Task: What is the millions digit of 1052757589?
Derivation: 2
Task: What is the units digit of 1413442?
Derivation: 2
Task: What is the hundreds digit of 531?
Derivation: 5
Task: What is the thousands digit of 2476?
Derivation: 2
Task: What is the thousands digit of 2499887?
Derivation: 9
Task: What is the hundreds digit of 17866413?
Derivation: 4
Task: What is the thousands digit of 6909773?
Derivation: 9
Task: What is the tens digit of 2728?
Derivation: 2
Task: What is the ten millions digit of 11894522?
Derivation: 1
Task: What is the thousands digit of 8407?
Derivation: 8
Task: What is the ten thousands digit of 12210636?
Derivation: 1
Task: What is the hundred millions digit of 3121834355?
Derivation: 1
Task: What is the units digit of 1535908487?
Derivation: 7
Task: What is the ten millions digit of 93129439?
Derivation: 9
Task: What is the hundreds digit of 1410803242?
Derivation: 2
Task: What is the tens digit of 2392361330?
Derivation: 3
Task: What is the hundreds digit of 14362722?
Derivation: 7
Task: What is the tens digit of 143456?
Derivation: 5
Task: What is the thousands digit of 442825?
Derivation: 2
Task: What is the ten thousands digit of 188572?
Derivation: 8
Task: What is the millions digit of 131014627?
Derivation: 1
Task: What is the thousands digit of 5874506?
Derivation: 4
Task: What is the thousands digit of 6847?
Derivation: 6
Task: What is the thousands digit of 462885?
Derivation: 2
Task: What is the units digit of 2796700?
Derivation: 0
Task: What is the hundred millions digit of 314091541?
|
english
|
arithmetic: nearest integer root
--------------------------------
Problem #: What is the cube root of 35221082 to the nearest integer?
Gives: 328
Problem #: What is the fourth root of 5491 to the nearest integer?
Gives: 9
Problem #: What is 3122 to the power of 1/4, to the nearest integer?
Gives: 7
Problem #: What is 1760 to the power of 1/2, to the nearest integer?
Gives: 42
Problem #: What is the square root of 5778032 to the nearest integer?
Gives: 2404
Problem #: What is the square root of 218962097 to the nearest integer?
Gives: 14797
Problem #: What is the seventh root of 1498609 to the nearest integer?
Gives: 8
Problem #: What is 72218 to the power of 1/5, to the nearest integer?
Gives: 9
Problem #: What is 24509639 to the power of 1/3, to the nearest integer?
Gives: 290
Problem #: What is 14208170 to the power of 1/2, to the nearest integer?
Gives: 3769
Problem #: What is 23488 to the power of 1/3, to the nearest integer?
Gives: 29
Problem #: What is 20952241 to the power of 1/2, to the nearest integer?
Gives: 4577
Problem #: What is 444273523 to the power of 1/5, to the nearest integer?
Gives: 54
Problem #: What is 1852 to the power of 1/9, to the nearest integer?
Gives: 2
Problem #: What is the fourth root of 191269 to the nearest integer?
Gives: 21
Problem #: What is the square root of 589275 to the nearest integer?
Gives: 768
Problem #: What is the fifth root of 29426 to the nearest integer?
Gives: 8
Problem #: What is the square root of 5012216 to the nearest integer?
Gives: 2239
Problem #: What is 122642 to the power of 1/6, to the nearest integer?
Gives: 7
Problem #: What is the square root of 3971559 to the nearest integer?
Gives: 1993
Problem #: What is the square root of 2079 to the nearest integer?
Gives: 46
Problem #: What is the cube root of 4567115 to the nearest integer?
Gives: 166
Problem #: What is the third root of 3892 to the nearest integer?
Gives: 16
Problem #: What is the cube root of 11121159 to the nearest integer?
Gives: 223
Problem
|
english
|
numbers: is factor
------------------
Input: Is 35 a factor of 4021?
Response: False
Input: Does 11 divide 1740?
Response: False
Input: Does 79 divide 1343?
Response: True
Input: Is 482 a factor of 125320?
Response: True
Input: Is 163 a factor of 1822590205?
Response: True
Input: Is 1354 a multiple of 3?
Response: False
Input: Is 999 a factor of 90110711?
Response: False
Input: Does 6 divide 225549?
Response: False
Input: Is 18723900 a multiple of 15?
Response: True
Input: Does 17 divide 38751?
Response: False
Input: Is 5 a factor of 5425443?
Response: False
Input: Does 38 divide 14508362?
Response: True
Input: Does 35 divide 39160?
Response: False
Input: Is 22439 a multiple of 69?
Response: False
Input: Does 139 divide 3516309132?
Response: True
Input: Does 190 divide 87210?
Response: True
Input: Is 257 a factor of 11293351?
Response: True
Input: Is 3 a factor of 168105?
Response: True
Input: Is 32668 a multiple of 75?
Response: False
Input: Is 222969227 a multiple of 437?
Response: False
Input: Does 1234 divide 6367471?
Response: False
Input: Is 7116 a multiple of 12?
Response: True
Input: Is 5 a factor of 2665?
Response: True
Input: Does 24 divide 53786?
Response: False
Input: Is 127 a factor of 188133708?
Response: False
Input: Is 12 a factor of 3840?
Response: True
Input: Is 27676992 a multiple of 64?
Response: True
Input: Is 18 a factor of 1107612?
Response: True
Input: Is 25147903 a multiple of 28?
Response: False
Input: Is 59 a factor of 20350?
Response: False
Input: Is 16 a factor of 5376?
Response: True
Input: Does 17 divide 149803?
Response: False
Input: Does 2 divide 287?
Response: False
Input: Does 14 divide 19626908?
Response: True
Input: Is 41 a factor of 18697751?
Response: False
Input: Is 7 a factor of 9071244?
Response: True
Input: Is 3328794 a multiple of 58?
Response: True
Input: Is 12 a factor of 200084664?
Response: True
Input: Is 229 a factor of 96638?
Response: True
Input: Is 1184 a multiple of 37?
Response: True
Input: Does 133 divide 219317
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english
|
probability: swr p sequence
---------------------------
Situation: Four letters picked without replacement from kkkccycckcccc. What is prob of sequence kkky?
Derivation: 1/715
Situation: Three letters picked without replacement from {y: 2, o: 2, e: 1, j: 1}. What is prob of sequence jeo?
Derivation: 1/60
Situation: What is prob of sequence dy when two letters picked without replacement from {g: 2, y: 4, d: 3}?
Derivation: 1/6
Situation: What is prob of sequence agyg when four letters picked without replacement from {a: 6, g: 4, y: 1}?
Derivation: 1/110
Situation: Calculate prob of sequence yh when two letters picked without replacement from hzszzhzhhejzzzzyzzz.
Derivation: 2/171
Situation: Three letters picked without replacement from {w: 1, r: 1, j: 1, o: 2}. What is prob of sequence joj?
Derivation: 0
Situation: Three letters picked without replacement from hhxhhwhhxxxahaxh. What is prob of sequence xaa?
Derivation: 1/336
Situation: Two letters picked without replacement from yyyyjyyjyyyyyyyyjy. What is prob of sequence yj?
Derivation: 5/34
Situation: Two letters picked without replacement from {v: 1, x: 1, m: 2, c: 2, g: 1, q: 1}. Give prob of sequence gq.
Derivation: 1/56
Situation: Calculate prob of sequence xxxl when four letters picked without replacement from {z: 2, x: 3, l: 10}.
Derivation: 1/546
Situation: What is prob of sequence gb when two letters picked without replacement from gbiimrmitmii?
Derivation: 1/132
Situation: Four letters picked without replacement from {k: 5, a: 13}. What is prob of sequence aakk?
Derivation: 13/306
Situation: Two letters picked without replacement from sssssssssssmsmsssssm. What is prob of sequence sm?
Derivation: 51/380
Situation: What is prob of sequence lhlh when four letters picked without replacement from hlhhhdhdhddlldhh?
Derivation: 1/130
Situation: Two letters picked without replacement from uququqqqqtuuqquuu. What is prob of sequence qt?
Derivation: 1/34
Situation: What is prob of sequence oq when two letters pick
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numbers: gcd
------------
Subquestion: What is the greatest common divisor of 1149 and 49966563?
Result: 1149
Subquestion: Calculate the greatest common divisor of 85 and 51.
Result: 17
Subquestion: What is the greatest common factor of 26298 and 11451318?
Result: 2922
Subquestion: Calculate the greatest common factor of 30 and 787325.
Result: 5
Subquestion: What is the highest common factor of 1216 and 38?
Result: 38
Subquestion: Calculate the highest common divisor of 168 and 81249.
Result: 21
Subquestion: What is the highest common divisor of 888 and 24?
Result: 24
Subquestion: What is the highest common divisor of 129360 and 1056?
Result: 528
Subquestion: Calculate the greatest common factor of 557340 and 200172.
Result: 84
Subquestion: Calculate the highest common factor of 1120 and 151648.
Result: 224
Subquestion: What is the highest common divisor of 681 and 3?
Result: 3
Subquestion: Calculate the greatest common factor of 666 and 2286.
Result: 18
Subquestion: What is the greatest common divisor of 22144 and 12110?
Result: 346
Subquestion: What is the greatest common factor of 58188 and 48?
Result: 12
Subquestion: Calculate the greatest common factor of 1738816 and 101.
Result: 101
Subquestion: Calculate the greatest common divisor of 3234 and 22.
Result: 22
Subquestion: Calculate the highest common divisor of 711861 and 27.
Result: 3
Subquestion: What is the greatest common factor of 5 and 10?
Result: 5
Subquestion: Calculate the highest common factor of 24 and 1410.
Result: 6
Subquestion: What is the greatest common divisor of 11092 and 180450202?
Result: 5546
Subquestion: What is the greatest common divisor of 1339761 and 1422?
Result: 237
Subquestion: Calculate the highest common factor of 358044908 and 156.
Result: 52
Subquestion: Calculate the greatest common factor of 19977006 and 595.
Result: 119
Subquestion: What is the highest common divisor of 22 and 129942384?
Result: 22
Subquestion: What is the highest common factor of 105 and 350?
Result: 35
Sub
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probability: swr p level set
----------------------------
Input: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {f: 2, s: 1, j: 3, e: 1, y: 3}.
A.: 1/120
Input: Three letters picked without replacement from {n: 4, d: 1, p: 1, g: 3, e: 1, o: 5}. Give prob of picking 1 n, 1 p, and 1 g.
A.: 12/455
Input: Calculate prob of picking 3 w when three letters picked without replacement from {l: 4, w: 7}.
A.: 7/33
Input: Calculate prob of picking 2 x when two letters picked without replacement from xsssxsssxss.
A.: 3/55
Input: Two letters picked without replacement from {x: 2, p: 1, r: 1, m: 3}. Give prob of picking 2 m.
A.: 1/7
Input: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from {p: 10, y: 10}.
A.: 15/38
Input: What is prob of picking 1 l and 2 d when three letters picked without replacement from {l: 6, d: 9, x: 4}?
A.: 72/323
Input: Two letters picked without replacement from {x: 1, v: 8, b: 1, w: 2, k: 1, o: 2}. What is prob of picking 1 k and 1 v?
A.: 8/105
Input: Three letters picked without replacement from hiivlzt. What is prob of picking 1 z, 1 i, and 1 h?
A.: 2/35
Input: Four letters picked without replacement from kccclckf. Give prob of picking 1 f and 3 c.
A.: 2/35
Input: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from qmdiirk.
A.: 1/21
Input: Three letters picked without replacement from jjnjjjjnjjnjwnjjwnj. What is prob of picking 1 j and 2 w?
A.: 4/323
Input: Calculate prob of picking 2 b and 2 x when four letters picked without replacement from hhbhxbbhxxhhxh.
A.: 18/1001
Input: What is prob of picking 1 x, 1 y, 1 h, and 1 t when four letters picked without replacement from xtthvvxktktkhy?
A.: 16/1001
Input: Four letters picked without replacement from hhhuuuuuuuuhuhhh. What is prob of picking 4 h?
A.: 1/52
Input: Three letters picked without replacement from {v: 2, s: 1}. Give prob of picking 3 v.
A.: 0
Input: Three letters picked without
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measurement: conversion
-----------------------
Task: How many millimeters are there in seven quarters of a meter?
Finding: 1750
Task: What is 0.492354kg in milligrams?
Finding: 492354
Task: What is twenty-one quarters of a minute in seconds?
Finding: 315
Task: How many nanometers are there in 91.57577 micrometers?
Finding: 91575.77
Task: What is 7/2 of a gram in milligrams?
Finding: 3500
Task: What is three tenths of a kilogram in grams?
Finding: 300
Task: What is 17/4 of a litre in millilitres?
Finding: 4250
Task: What is twenty-three sixths of a decade in months?
Finding: 460
Task: How many centuries are there in seventy-four fifths of a millennium?
Finding: 148
Task: Convert 8521.454mm to kilometers.
Finding: 0.008521454
Task: How many milligrams are there in 88.72486 tonnes?
Finding: 88724860000
Task: What is 0.97405 millennia in months?
Finding: 11688.6
Task: How many seconds are there in five sixths of a day?
Finding: 72000
Task: What is 9.663844um in nanometers?
Finding: 9663.844
Task: What is one tenth of a millennium in decades?
Finding: 10
Task: How many millilitres are there in 8.983877 litres?
Finding: 8983.877
Task: What is 8/25 of a microsecond in nanoseconds?
Finding: 320
Task: What is eleven quarters of a minute in seconds?
Finding: 165
Task: Convert 8468.921ug to kilograms.
Finding: 0.000008468921
Task: What is eighteen fifths of a millimeter in micrometers?
Finding: 3600
Task: How many millilitres are there in 211519.8 litres?
Finding: 211519800
Task: What is one twentieth of a litre in millilitres?
Finding: 50
Task: How many millennia are there in 20.08513 decades?
Finding: 0.2008513
Task: What is 1/5 of a microsecond in nanoseconds?
Finding: 200
Task: What is 336.1761m in micrometers?
Finding: 336176100
Task: What is 7/4 of a microsecond in nanoseconds?
Finding: 1750
Task: How many months are there in 7.79742 millennia?
Finding: 93569.04
Task: How many nanograms are there in seventy-three quarters of a microgram?
Finding: 18250
Task: How many mi
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english
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numbers: lcm
------------
Query: Calculate the common denominator of -38/34977 and 83/1869.
Calculation: 244839
Query: What is the lowest common multiple of 47699255 and 12202135?
Calculation: 524691805
Query: What is the smallest common multiple of 48 and 1456?
Calculation: 4368
Query: Find the common denominator of 161/44694 and -7/48.
Calculation: 357552
Query: Find the common denominator of -40/226709 and 37/7343.
Calculation: 237817741
Query: What is the common denominator of 67/20 and 3/140?
Calculation: 140
Query: Find the common denominator of 34/16335 and 62/194535.
Calculation: 2139885
Query: What is the common denominator of 25/11 and 38/1481?
Calculation: 16291
Query: Find the common denominator of -17/147 and 173/880236.
Calculation: 880236
Query: What is the least common multiple of 68 and 4334?
Calculation: 147356
Query: What is the smallest common multiple of 34891 and 7?
Calculation: 244237
Query: What is the smallest common multiple of 123 and 1954716?
Calculation: 1954716
Query: Calculate the smallest common multiple of 2086 and 24883.
Calculation: 348362
Query: What is the common denominator of 79/9177 and -62/1463?
Calculation: 100947
Query: What is the least common multiple of 405 and 360?
Calculation: 3240
Query: What is the least common multiple of 72 and 144?
Calculation: 144
Query: Calculate the common denominator of 47/51 and -14/573.
Calculation: 9741
Query: Calculate the lowest common multiple of 34 and 22550891.
Calculation: 45101782
Query: What is the smallest common multiple of 16 and 2?
Calculation: 16
Query: Calculate the common denominator of -121/52050 and -29/160.
Calculation: 832800
Query: What is the common denominator of 79/140 and -51/190968868?
Calculation: 6683910380
Query: What is the lowest common multiple of 498 and 16?
Calculation: 3984
Query: Calculate the common denominator of 109/840 and -13/6.
Calculation: 840
Query: Calculate the common denominator of -157/6370 and 26/63.
Calculation: 57330
Query: What is the small
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numbers: is factor
------------------
Prompt: Is 24 a factor of 672?
Outcome: True
Prompt: Does 6 divide 504?
Outcome: True
Prompt: Is 225839595 a multiple of 5?
Outcome: True
Prompt: Is 59322004 a multiple of 28?
Outcome: True
Prompt: Does 16 divide 249179040?
Outcome: True
Prompt: Does 21 divide 8156?
Outcome: False
Prompt: Is 243 a factor of 15075624?
Outcome: False
Prompt: Is 52 a factor of 3120?
Outcome: True
Prompt: Is 19 a factor of 180548?
Outcome: False
Prompt: Does 177 divide 940874121?
Outcome: True
Prompt: Is 287198612 a multiple of 99?
Outcome: False
Prompt: Does 32 divide 20482?
Outcome: False
Prompt: Is 557 a multiple of 28?
Outcome: False
Prompt: Is 167 a factor of 38517392?
Outcome: False
Prompt: Does 146 divide 38252?
Outcome: True
Prompt: Is 1301600 a multiple of 4?
Outcome: True
Prompt: Is 2294959541 a multiple of 65?
Outcome: False
Prompt: Is 15 a factor of 61240?
Outcome: False
Prompt: Does 7 divide 39896?
Outcome: False
Prompt: Does 4 divide 273550?
Outcome: False
Prompt: Does 18 divide 2877999926?
Outcome: False
Prompt: Does 123 divide 306453?
Outcome: False
Prompt: Does 21 divide 44?
Outcome: False
Prompt: Is 28556126 a multiple of 1854?
Outcome: False
Prompt: Does 34 divide 62492?
Outcome: True
Prompt: Is 107274 a multiple of 39?
Outcome: False
Prompt: Does 9 divide 257054958?
Outcome: True
Prompt: Is 58 a factor of 19130?
Outcome: False
Prompt: Does 14 divide 112860468?
Outcome: True
Prompt: Does 24 divide 5110?
Outcome: False
Prompt: Is 53 a factor of 3054072?
Outcome: True
Prompt: Is 1352 a factor of 163202624?
Outcome: True
Prompt: Is 36 a factor of 396?
Outcome: True
Prompt: Is 23 a factor of 2420566?
Outcome: True
Prompt: Does 4770 divide 1140479197?
Outcome: False
Prompt: Is 113852672 a multiple of 256?
Outcome: True
Prompt: Does 8 divide 1215440?
Outcome: True
Prompt: Is 147254378 a multiple of 34?
Outcome: False
Prompt: Is 531 a factor of 364797?
Outcome: True
Prompt: Is 5 a factor of 20193?
Outcome: False
Prompt: Does 8 divide 379
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arithmetic: nearest integer root
--------------------------------
Given: What is 18444 to the power of 1/2, to the nearest integer?
Calculation: 136
Given: What is the seventh root of 3116918 to the nearest integer?
Calculation: 8
Given: What is 77634059 to the power of 1/10, to the nearest integer?
Calculation: 6
Given: What is 71761355 to the power of 1/2, to the nearest integer?
Calculation: 8471
Given: What is 180530 to the power of 1/3, to the nearest integer?
Calculation: 57
Given: What is the fifth root of 23905272 to the nearest integer?
Calculation: 30
Given: What is the sixth root of 592122043 to the nearest integer?
Calculation: 29
Given: What is the square root of 61358050 to the nearest integer?
Calculation: 7833
Given: What is the cube root of 891305774 to the nearest integer?
Calculation: 962
Given: What is 36765149 to the power of 1/2, to the nearest integer?
Calculation: 6063
Given: What is 60295 to the power of 1/3, to the nearest integer?
Calculation: 39
Given: What is the sixth root of 13664 to the nearest integer?
Calculation: 5
Given: What is the square root of 3735756 to the nearest integer?
Calculation: 1933
Given: What is the square root of 414 to the nearest integer?
Calculation: 20
Given: What is the seventh root of 71183 to the nearest integer?
Calculation: 5
Given: What is 11851 to the power of 1/7, to the nearest integer?
Calculation: 4
Given: What is 120304 to the power of 1/10, to the nearest integer?
Calculation: 3
Given: What is 4686 to the power of 1/2, to the nearest integer?
Calculation: 68
Given: What is 54697253 to the power of 1/4, to the nearest integer?
Calculation: 86
Given: What is 358845 to the power of 1/10, to the nearest integer?
Calculation: 4
Given: What is 1022 to the power of 1/3, to the nearest integer?
Calculation: 10
Given: What is the square root of 899237 to the nearest integer?
Calculation: 948
Given: What is 163894805 to the power of 1/4, to the nearest integer?
Calculation: 113
Given: What is the fifth root
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numbers: is prime
-----------------
Scenario: Is 2429309 prime?
Outcome: False
Scenario: Is 1072987 prime?
Outcome: False
Scenario: Is 27798346193 a prime number?
Outcome: True
Scenario: Is 34123 composite?
Outcome: False
Scenario: Is 18513191 prime?
Outcome: True
Scenario: Is 20541539677 composite?
Outcome: False
Scenario: Is 2210709659 a composite number?
Outcome: True
Scenario: Is 12417 a prime number?
Outcome: False
Scenario: Is 761148643 a prime number?
Outcome: True
Scenario: Is 22147 a prime number?
Outcome: True
Scenario: Is 3835127 composite?
Outcome: True
Scenario: Is 15245 a prime number?
Outcome: False
Scenario: Is 382493 prime?
Outcome: True
Scenario: Is 15686893 prime?
Outcome: True
Scenario: Is 3815027 composite?
Outcome: True
Scenario: Is 52361 composite?
Outcome: False
Scenario: Is 919 composite?
Outcome: False
Scenario: Is 1047197 a composite number?
Outcome: False
Scenario: Is 1592329957 composite?
Outcome: True
Scenario: Is 3907523 a prime number?
Outcome: True
Scenario: Is 2135243 composite?
Outcome: True
Scenario: Is 3054035143 prime?
Outcome: True
Scenario: Is 7990327669 a composite number?
Outcome: False
Scenario: Is 1087 composite?
Outcome: False
Scenario: Is 1453270853 a prime number?
Outcome: False
Scenario: Is 82609 composite?
Outcome: False
Scenario: Is 106285478027 composite?
Outcome: False
Scenario: Is 105566509 a composite number?
Outcome: False
Scenario: Is 3484916893 prime?
Outcome: False
Scenario: Is 478217459 prime?
Outcome: False
Scenario: Is 491 prime?
Outcome: True
Scenario: Is 835 composite?
Outcome: True
Scenario: Is 3863021417 prime?
Outcome: True
Scenario: Is 33379 a prime number?
Outcome: False
Scenario: Is 2110177 a composite number?
Outcome: False
Scenario: Is 2187232133 a composite number?
Outcome: False
Scenario: Is 1254676877 prime?
Outcome: False
Scenario: Is 1229480717 a prime number?
Outcome: False
Scenario: Is 1378373757 a prime number?
Outcome: False
Scenario: Is 129494489 prime?
Outcome: True
Scenario: Is 237519
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numbers: list prime factors
---------------------------
Math Problem: What are the prime factors of 2165834?
Clarification: 2, 11, 17, 5791
Math Problem: List the prime factors of 207715950.
Clarification: 2, 3, 5, 13, 35507
Math Problem: List the prime factors of 14654.
Clarification: 2, 17, 431
Math Problem: What are the prime factors of 208126?
Clarification: 2, 19, 5477
Math Problem: List the prime factors of 1208.
Clarification: 2, 151
Math Problem: What are the prime factors of 3633472918?
Clarification: 2, 1816736459
Math Problem: What are the prime factors of 11418?
Clarification: 2, 3, 11, 173
Math Problem: List the prime factors of 1211968.
Clarification: 2, 29, 653
Math Problem: List the prime factors of 284098.
Clarification: 2, 142049
Math Problem: List the prime factors of 1462.
Clarification: 2, 17, 43
Math Problem: What are the prime factors of 14001?
Clarification: 3, 13, 359
Math Problem: List the prime factors of 45489.
Clarification: 3, 59, 257
Math Problem: List the prime factors of 180159776.
Clarification: 2, 5629993
Math Problem: List the prime factors of 23626.
Clarification: 2, 11813
Math Problem: What are the prime factors of 5029629824?
Clarification: 2, 39293983
Math Problem: List the prime factors of 843.
Clarification: 3, 281
Math Problem: List the prime factors of 786.
Clarification: 2, 3, 131
Math Problem: List the prime factors of 1160592684.
Clarification: 2, 3, 96716057
Math Problem: List the prime factors of 36527.
Clarification: 36527
Math Problem: What are the prime factors of 10836861?
Clarification: 3, 7, 491, 1051
Math Problem: What are the prime factors of 18605?
Clarification: 5, 61
Math Problem: List the prime factors of 5488.
Clarification: 2, 7
Math Problem: List the prime factors of 454311.
Clarification: 3, 11, 13, 353
Math Problem: List the prime factors of 1083.
Clarification: 3, 19
Math Problem: List the prime factors of 36384.
Clarification: 2, 3, 379
Math Problem: List the prime factors of 15359676.
Clarification
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english
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measurement: conversion
-----------------------
Given: Convert 6397.004 years to decades.
Final Answer: 639.7004
Given: What is 80780.36 micrometers in meters?
Final Answer: 0.08078036
Given: How many meters are there in five quarters of a kilometer?
Final Answer: 1250
Given: What is 1.8346473us in hours?
Final Answer: 0.00000000050962425
Given: How many litres are there in 3.04167ml?
Final Answer: 0.00304167
Given: How many minutes are there in 96.0106 days?
Final Answer: 138255.264
Given: Convert 1607.61267 seconds to days.
Final Answer: 0.018606628125
Given: What is 8.97702 centuries in years?
Final Answer: 897.702
Given: How many centuries are there in 0.6631287 millennia?
Final Answer: 6.631287
Given: How many months are there in 79.19317 years?
Final Answer: 950.31804
Given: How many grams are there in 0.1913228 milligrams?
Final Answer: 0.0001913228
Given: Convert 3829.307 millilitres to litres.
Final Answer: 3.829307
Given: How many millilitres are there in 9.887998l?
Final Answer: 9887.998
Given: Convert 582.9054 millennia to years.
Final Answer: 582905.4
Given: How many grams are there in 1/20 of a tonne?
Final Answer: 50000
Given: How many nanometers are there in 227024.5 micrometers?
Final Answer: 227024500
Given: How many milligrams are there in 15/4 of a gram?
Final Answer: 3750
Given: What is twenty-eight thirds of a day in minutes?
Final Answer: 13440
Given: What is fourty-five quarters of a litre in millilitres?
Final Answer: 11250
Given: What is fourty-five quarters of a day in hours?
Final Answer: 270
Given: How many centimeters are there in seventeen quarters of a meter?
Final Answer: 425
Given: What is 43/6 of a hour in seconds?
Final Answer: 25800
Given: How many years are there in 53/5 of a decade?
Final Answer: 106
Given: Convert 52633.98 years to decades.
Final Answer: 5263.398
Given: How many months are there in 17/4 of a year?
Final Answer: 51
Given: Convert 675.2002 millimeters to kilometers.
Final Answer: 0.0006752002
Given: How many mic
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english
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probability: swr p sequence
---------------------------
Example: Three letters picked without replacement from rrr. What is prob of sequence rrr?
Steps: 1
Example: Four letters picked without replacement from {y: 1, i: 17}. Give prob of sequence iiyi.
Steps: 1/18
Example: Two letters picked without replacement from zzzp. What is prob of sequence zp?
Steps: 1/4
Example: Two letters picked without replacement from {p: 4, z: 4, n: 7}. Give prob of sequence zz.
Steps: 2/35
Example: Two letters picked without replacement from {i: 2, d: 8, f: 4}. What is prob of sequence ii?
Steps: 1/91
Example: What is prob of sequence uenn when four letters picked without replacement from {j: 2, e: 1, z: 2, u: 6, n: 3}?
Steps: 3/2002
Example: Calculate prob of sequence ttj when three letters picked without replacement from jtttjt.
Steps: 1/5
Example: Two letters picked without replacement from {b: 7, o: 1, i: 3, w: 6}. Give prob of sequence wb.
Steps: 21/136
Example: Calculate prob of sequence zmz when three letters picked without replacement from {m: 5, z: 2}.
Steps: 1/21
Example: Three letters picked without replacement from {p: 10, s: 2}. What is prob of sequence ppp?
Steps: 6/11
Example: Three letters picked without replacement from {e: 2, h: 4, c: 1, r: 1}. What is prob of sequence ech?
Steps: 1/42
Example: Calculate prob of sequence rh when two letters picked without replacement from {h: 1, b: 1, j: 1, l: 1, r: 1}.
Steps: 1/20
Example: Four letters picked without replacement from xdnxxddxdxx. What is prob of sequence nxdd?
Steps: 1/110
Example: Three letters picked without replacement from aii. Give prob of sequence aii.
Steps: 1/3
Example: What is prob of sequence aaua when four letters picked without replacement from uaakujvaaaavkkk?
Steps: 2/273
Example: What is prob of sequence hc when two letters picked without replacement from hhghghhhghhcgh?
Steps: 9/182
Example: Three letters picked without replacement from {e: 2, y: 1}. Give prob of sequence yey.
Steps: 0
Example: Two let
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english
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measurement: time
-----------------
Conundrum: What is 115 minutes before 11:09 AM?
Ans: 9:14 AM
Conundrum: How many minutes are there between 9:40 PM and 11:46 PM?
Ans: 126
Conundrum: What is 705 minutes after 12:03 AM?
Ans: 11:48 AM
Conundrum: How many minutes are there between 3:43 AM and 1:26 PM?
Ans: 583
Conundrum: How many minutes are there between 4:53 PM and 12:55 AM?
Ans: 482
Conundrum: What is 191 minutes after 10:01 AM?
Ans: 1:12 PM
Conundrum: What is 385 minutes before 9:45 PM?
Ans: 3:20 PM
Conundrum: What is 102 minutes before 3:55 PM?
Ans: 2:13 PM
Conundrum: What is 90 minutes after 2:10 AM?
Ans: 3:40 AM
Conundrum: How many minutes are there between 11:25 AM and 12:04 PM?
Ans: 39
Conundrum: How many minutes are there between 10:40 PM and 4:04 AM?
Ans: 324
Conundrum: How many minutes are there between 7:00 AM and 1:27 PM?
Ans: 387
Conundrum: What is 320 minutes after 3:48 PM?
Ans: 9:08 PM
Conundrum: How many minutes are there between 9:54 AM and 2:09 PM?
Ans: 255
Conundrum: What is 505 minutes before 11:00 PM?
Ans: 2:35 PM
Conundrum: What is 386 minutes after 8:19 PM?
Ans: 2:45 AM
Conundrum: What is 423 minutes before 6:36 PM?
Ans: 11:33 AM
Conundrum: What is 132 minutes after 7:02 PM?
Ans: 9:14 PM
Conundrum: How many minutes are there between 4:25 PM and 2:37 AM?
Ans: 612
Conundrum: How many minutes are there between 4:38 AM and 4:11 PM?
Ans: 693
Conundrum: How many minutes are there between 2:13 PM and 1:41 AM?
Ans: 688
Conundrum: How many minutes are there between 1:26 AM and 3:41 AM?
Ans: 135
Conundrum: How many minutes are there between 11:17 AM and 11:26 AM?
Ans: 9
Conundrum: What is 424 minutes before 11:30 PM?
Ans: 4:26 PM
Conundrum: What is 56 minutes before 5:07 AM?
Ans: 4:11 AM
Conundrum: What is 576 minutes after 11:26 PM?
Ans: 9:02 AM
Conundrum: What is 704 minutes before 7:27 PM?
Ans: 7:43 AM
Conundrum: How many minutes are there between 5:34 AM and 7:25 AM?
Ans: 111
Conundrum: What is 103 minutes after 8:33 AM?
Ans: 10:16 AM
Conundrum: Wh
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english
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numbers: place value
--------------------
Part A: What is the units digit of 296847592?
A.: 2
Part A: What is the millions digit of 200099339?
A.: 0
Part A: What is the hundred thousands digit of 169928?
A.: 1
Part A: What is the hundreds digit of 1978?
A.: 9
Part A: What is the tens digit of 7852?
A.: 5
Part A: What is the millions digit of 45002441?
A.: 5
Part A: What is the thousands digit of 12701526?
A.: 1
Part A: What is the hundred thousands digit of 970502?
A.: 9
Part A: What is the tens digit of 2038606?
A.: 0
Part A: What is the units digit of 1153?
A.: 3
Part A: What is the ten thousands digit of 12946?
A.: 1
Part A: What is the units digit of 278832394?
A.: 4
Part A: What is the units digit of 632742?
A.: 2
Part A: What is the ten thousands digit of 8305568?
A.: 0
Part A: What is the millions digit of 7479432?
A.: 7
Part A: What is the units digit of 511?
A.: 1
Part A: What is the units digit of 65815?
A.: 5
Part A: What is the thousands digit of 5942?
A.: 5
Part A: What is the units digit of 27376944?
A.: 4
Part A: What is the units digit of 288865?
A.: 5
Part A: What is the tens digit of 64?
A.: 6
Part A: What is the tens digit of 50655862?
A.: 6
Part A: What is the ten millions digit of 26934906?
A.: 2
Part A: What is the units digit of 13995631?
A.: 1
Part A: What is the hundred thousands digit of 397689001?
A.: 6
Part A: What is the tens digit of 95418?
A.: 1
Part A: What is the thousands digit of 7368?
A.: 7
Part A: What is the ten millions digit of 24814568?
A.: 2
Part A: What is the units digit of 6562907?
A.: 7
Part A: What is the thousands digit of 5264473?
A.: 4
Part A: What is the thousands digit of 589702?
A.: 9
Part A: What is the tens digit of 19059?
A.: 5
Part A: What is the hundred thousands digit of 16273681?
A.: 2
Part A: What is the thousands digit of 305587?
A.: 5
Part A: What is the tens digit of 1206?
A.: 0
Part A: What is the thousands digit of 1426375120?
A.: 5
Part A: What is the tens digit of 34686?
A.: 8
Part A: What is the te
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english
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numbers: is factor
------------------
Question: Does 47 divide 589575176?
Finding: False
Question: Is 18654 a multiple of 3?
Finding: True
Question: Does 121 divide 20963?
Finding: False
Question: Is 1040 a multiple of 20?
Finding: True
Question: Is 847223163 a multiple of 78?
Finding: False
Question: Is 79 a factor of 465?
Finding: False
Question: Is 448 a multiple of 28?
Finding: True
Question: Does 25 divide 281451684?
Finding: False
Question: Does 12 divide 20557?
Finding: False
Question: Is 62689 a multiple of 25?
Finding: False
Question: Does 11 divide 237347?
Finding: True
Question: Does 8 divide 1210?
Finding: False
Question: Does 23 divide 56189?
Finding: True
Question: Is 21 a factor of 74?
Finding: False
Question: Does 11 divide 63184?
Finding: True
Question: Does 194 divide 2593586?
Finding: True
Question: Is 2592 a multiple of 81?
Finding: True
Question: Is 85260 a multiple of 49?
Finding: True
Question: Is 1222 a factor of 1225666?
Finding: True
Question: Is 27 a factor of 15506?
Finding: False
Question: Is 68877050 a multiple of 1457?
Finding: False
Question: Is 321087888 a multiple of 1782?
Finding: True
Question: Is 10903 a multiple of 231?
Finding: False
Question: Is 25728 a multiple of 201?
Finding: True
Question: Is 235 a factor of 286230?
Finding: True
Question: Is 1929 a factor of 2281011636?
Finding: True
Question: Is 1834890 a multiple of 15?
Finding: True
Question: Is 356 a factor of 423340?
Finding: False
Question: Does 27 divide 858?
Finding: False
Question: Is 185 a multiple of 53?
Finding: False
Question: Is 555 a factor of 8805630?
Finding: True
Question: Is 6 a factor of 1302342?
Finding: True
Question: Is 47 a factor of 34632420?
Finding: True
Question: Does 173 divide 42706?
Finding: False
Question: Is 6853 a multiple of 77?
Finding: True
Question: Does 12 divide 8619?
Finding: False
Question: Is 2 a factor of 197564?
Finding: True
Question: Is 5 a factor of 20825?
Finding: True
Question: Is 15201704 a multiple of 344?
Finding: True
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english
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numbers: div remainder
----------------------
Situation: Calculate the remainder when 25431919 is divided by 84.
A: 79
Situation: What is the remainder when 12081 is divided by 4?
A: 1
Situation: Calculate the remainder when 64 is divided by 50.
A: 14
Situation: What is the remainder when 2007 is divided by 183?
A: 177
Situation: What is the remainder when 1416 is divided by 48?
A: 24
Situation: What is the remainder when 81918 is divided by 59?
A: 26
Situation: What is the remainder when 9748326 is divided by 30087?
A: 138
Situation: What is the remainder when 158 is divided by 34?
A: 22
Situation: Calculate the remainder when 30 is divided by 4.
A: 2
Situation: What is the remainder when 490800669 is divided by 18?
A: 15
Situation: What is the remainder when 122 is divided by 23?
A: 7
Situation: Calculate the remainder when 149201 is divided by 16572.
A: 53
Situation: What is the remainder when 82 is divided by 8?
A: 2
Situation: Calculate the remainder when 966943 is divided by 2948.
A: 2947
Situation: What is the remainder when 18626937 is divided by 545?
A: 472
Situation: Calculate the remainder when 11652275 is divided by 38.
A: 31
Situation: Calculate the remainder when 948520 is divided by 152.
A: 40
Situation: What is the remainder when 191699 is divided by 1169?
A: 1152
Situation: What is the remainder when 6 is divided by 4?
A: 2
Situation: Calculate the remainder when 10261497 is divided by 1416.
A: 1161
Situation: Calculate the remainder when 19751 is divided by 267.
A: 260
Situation: What is the remainder when 12899 is divided by 127?
A: 72
Situation: Calculate the remainder when 155798 is divided by 200.
A: 198
Situation: What is the remainder when 9737 is divided by 1938?
A: 47
Situation: What is the remainder when 9703763 is divided by 14614?
A: 67
Situation: Calculate the remainder when 96620 is divided by 1800.
A: 1220
Situation: What is the remainder when 113042 is divided by 36?
A: 2
Situation: Calculate the remainder when 3531 is divided by 19.
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english
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numbers: place value
--------------------
Prompt: What is the thousands digit of 3666?
= : 3
Prompt: What is the tens digit of 35553286?
= : 8
Prompt: What is the hundreds digit of 32220?
= : 2
Prompt: What is the hundreds digit of 3855?
= : 8
Prompt: What is the tens digit of 29464?
= : 6
Prompt: What is the thousands digit of 6135?
= : 6
Prompt: What is the thousands digit of 9211602?
= : 1
Prompt: What is the units digit of 59124?
= : 4
Prompt: What is the hundreds digit of 257337?
= : 3
Prompt: What is the hundreds digit of 3994?
= : 9
Prompt: What is the hundreds digit of 606?
= : 6
Prompt: What is the thousands digit of 4560?
= : 4
Prompt: What is the hundred millions digit of 316608640?
= : 3
Prompt: What is the hundreds digit of 2930?
= : 9
Prompt: What is the units digit of 180258?
= : 8
Prompt: What is the millions digit of 717501343?
= : 7
Prompt: What is the hundreds digit of 99737066?
= : 0
Prompt: What is the hundred thousands digit of 130015?
= : 1
Prompt: What is the tens digit of 792?
= : 9
Prompt: What is the hundreds digit of 368?
= : 3
Prompt: What is the millions digit of 62103082?
= : 2
Prompt: What is the units digit of 88476598?
= : 8
Prompt: What is the tens digit of 8755?
= : 5
Prompt: What is the units digit of 8966?
= : 6
Prompt: What is the hundreds digit of 2298?
= : 2
Prompt: What is the millions digit of 536251774?
= : 6
Prompt: What is the hundreds digit of 2844?
= : 8
Prompt: What is the thousands digit of 749315?
= : 9
Prompt: What is the hundreds digit of 138373113?
= : 1
Prompt: What is the tens digit of 329?
= : 2
Prompt: What is the hundreds digit of 34099?
= : 0
Prompt: What is the hundreds digit of 44255542?
= : 5
Prompt: What is the thousands digit of 493338?
= : 3
Prompt: What is the hundreds digit of 2537578?
= : 5
Prompt: What is the ten thousands digit of 184874182?
= : 7
Prompt: What is the ten thousands digit of 307674?
= : 0
Prompt: What is the hundred millions digit of 152033722?
= : 1
Prompt: What is the hundreds di
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english
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measurement: time
-----------------
Q/A: How many minutes are there between 2:15 PM and 7:33 PM?
Compute: 318
Q/A: How many minutes are there between 11:59 PM and 11:16 AM?
Compute: 677
Q/A: What is 508 minutes before 4:00 PM?
Compute: 7:32 AM
Q/A: What is 372 minutes before 3:44 AM?
Compute: 9:32 PM
Q/A: How many minutes are there between 2:31 AM and 3:11 AM?
Compute: 40
Q/A: How many minutes are there between 9:30 AM and 5:53 PM?
Compute: 503
Q/A: What is 707 minutes after 2:42 AM?
Compute: 2:29 PM
Q/A: How many minutes are there between 6:37 AM and 1:37 PM?
Compute: 420
Q/A: How many minutes are there between 8:33 PM and 7:25 AM?
Compute: 652
Q/A: How many minutes are there between 12:38 AM and 12:42 AM?
Compute: 4
Q/A: What is 91 minutes before 7:29 AM?
Compute: 5:58 AM
Q/A: What is 428 minutes after 5:03 AM?
Compute: 12:11 PM
Q/A: How many minutes are there between 12:41 AM and 9:02 AM?
Compute: 501
Q/A: How many minutes are there between 12:29 PM and 8:06 PM?
Compute: 457
Q/A: How many minutes are there between 12:37 AM and 10:23 AM?
Compute: 586
Q/A: What is 371 minutes before 1:44 AM?
Compute: 7:33 PM
Q/A: How many minutes are there between 12:28 PM and 3:59 PM?
Compute: 211
Q/A: How many minutes are there between 12:38 PM and 4:49 PM?
Compute: 251
Q/A: How many minutes are there between 1:52 PM and 1:31 AM?
Compute: 699
Q/A: How many minutes are there between 10:29 AM and 9:39 PM?
Compute: 670
Q/A: What is 322 minutes before 9:33 PM?
Compute: 4:11 PM
Q/A: What is 620 minutes after 2:40 AM?
Compute: 1:00 PM
Q/A: How many minutes are there between 8:13 PM and 1:31 AM?
Compute: 318
Q/A: How many minutes are there between 6:26 AM and 5:36 PM?
Compute: 670
Q/A: How many minutes are there between 4:45 AM and 5:29 AM?
Compute: 44
Q/A: What is 609 minutes before 2:12 AM?
Compute: 4:03 PM
Q/A: How many minutes are there between 10:32 PM and 1:19 AM?
Compute: 167
Q/A: How many minutes are there between 9:30 PM and 8:34 AM?
Compute: 664
Q/A: How many minutes are there
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english
|
arithmetic: nearest integer root
--------------------------------
Task: What is 452 to the power of 1/10, to the nearest integer?
Steps: 2
Task: What is the cube root of 146678 to the nearest integer?
Steps: 53
Task: What is 179376551 to the power of 1/5, to the nearest integer?
Steps: 45
Task: What is 1190295 to the power of 1/10, to the nearest integer?
Steps: 4
Task: What is 2186005 to the power of 1/3, to the nearest integer?
Steps: 130
Task: What is the ninth root of 6359612 to the nearest integer?
Steps: 6
Task: What is 1468529 to the power of 1/7, to the nearest integer?
Steps: 8
Task: What is 16779105 to the power of 1/3, to the nearest integer?
Steps: 256
Task: What is the seventh root of 5131715 to the nearest integer?
Steps: 9
Task: What is the square root of 2178002 to the nearest integer?
Steps: 1476
Task: What is 1395313 to the power of 1/7, to the nearest integer?
Steps: 8
Task: What is the square root of 710182 to the nearest integer?
Steps: 843
Task: What is 1293031246 to the power of 1/4, to the nearest integer?
Steps: 190
Task: What is the third root of 5145486 to the nearest integer?
Steps: 173
Task: What is the sixth root of 1474 to the nearest integer?
Steps: 3
Task: What is 524329179 to the power of 1/4, to the nearest integer?
Steps: 151
Task: What is the cube root of 19871027 to the nearest integer?
Steps: 271
Task: What is 437345956 to the power of 1/2, to the nearest integer?
Steps: 20913
Task: What is 5491 to the power of 1/2, to the nearest integer?
Steps: 74
Task: What is 15982976 to the power of 1/3, to the nearest integer?
Steps: 252
Task: What is the ninth root of 33826 to the nearest integer?
Steps: 3
Task: What is the cube root of 188419501 to the nearest integer?
Steps: 573
Task: What is the ninth root of 22530 to the nearest integer?
Steps: 3
Task: What is 4548678 to the power of 1/2, to the nearest integer?
Steps: 2133
Task: What is the third root of 6751297 to the nearest integer?
Steps: 189
Task: What is the cube root of 15708
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english
|
probability: swr p level set
----------------------------
Q/A: Three letters picked without replacement from ydjjddbvjbj. What is prob of picking 3 d?
A: 1/165
Q/A: What is prob of picking 1 y and 1 o when two letters picked without replacement from yroyrrr?
A: 2/21
Q/A: Three letters picked without replacement from fffff. Give prob of picking 3 f.
A: 1
Q/A: Three letters picked without replacement from {w: 4, d: 7, f: 3}. What is prob of picking 3 w?
A: 1/91
Q/A: What is prob of picking 2 s and 1 n when three letters picked without replacement from {z: 5, n: 1, s: 3}?
A: 1/28
Q/A: Four letters picked without replacement from bkbbkbbkbkbbbkkk. What is prob of picking 4 b?
A: 9/130
Q/A: Calculate prob of picking 2 l and 2 y when four letters picked without replacement from yglg.
A: 0
Q/A: Calculate prob of picking 3 r when three letters picked without replacement from pmrrrmm.
A: 1/35
Q/A: Calculate prob of picking 1 o, 1 m, and 2 h when four letters picked without replacement from odbbhhomj.
A: 1/63
Q/A: What is prob of picking 1 g, 1 n, and 1 k when three letters picked without replacement from {g: 1, h: 1, x: 1, k: 2, n: 2, l: 1}?
A: 1/14
Q/A: Three letters picked without replacement from zhxjnnnhhnjjnnhzfzzz. What is prob of picking 1 f, 1 x, and 1 j?
A: 1/380
Q/A: Calculate prob of picking 4 i when four letters picked without replacement from sixiisssssixssssiis.
A: 5/1292
Q/A: Two letters picked without replacement from {k: 1, y: 3, m: 9, r: 1}. Give prob of picking 1 k and 1 r.
A: 1/91
Q/A: Calculate prob of picking 2 m when two letters picked without replacement from {w: 1, q: 2, g: 1, f: 1, p: 2, m: 2}.
A: 1/36
Q/A: Calculate prob of picking 3 c when three letters picked without replacement from {o: 1, q: 1, j: 1, x: 1, c: 6, k: 1}.
A: 4/33
Q/A: Two letters picked without replacement from {t: 2, p: 3, c: 1, r: 1}. What is prob of picking 1 p and 1 c?
A: 1/7
Q/A: Two letters picked without replacement from crrcmcroororrkpkocp. Give prob of picking 1 k and 1 o
|
english
|
arithmetic: nearest integer root
--------------------------------
Prompt: What is 443811356 to the power of 1/2, to the nearest integer?
Calculation: 21067
Prompt: What is 935 to the power of 1/8, to the nearest integer?
Calculation: 2
Prompt: What is the square root of 179112815 to the nearest integer?
Calculation: 13383
Prompt: What is 376734 to the power of 1/10, to the nearest integer?
Calculation: 4
Prompt: What is the third root of 7217380224 to the nearest integer?
Calculation: 1933
Prompt: What is the cube root of 513502 to the nearest integer?
Calculation: 80
Prompt: What is the square root of 6115734935 to the nearest integer?
Calculation: 78203
Prompt: What is the third root of 642558212 to the nearest integer?
Calculation: 863
Prompt: What is the seventh root of 673 to the nearest integer?
Calculation: 3
Prompt: What is the eighth root of 2577 to the nearest integer?
Calculation: 3
Prompt: What is the square root of 23192313 to the nearest integer?
Calculation: 4816
Prompt: What is the seventh root of 15196799 to the nearest integer?
Calculation: 11
Prompt: What is 2428 to the power of 1/2, to the nearest integer?
Calculation: 49
Prompt: What is the cube root of 1684 to the nearest integer?
Calculation: 12
Prompt: What is 3973 to the power of 1/6, to the nearest integer?
Calculation: 4
Prompt: What is the tenth root of 272246 to the nearest integer?
Calculation: 3
Prompt: What is 56239506 to the power of 1/6, to the nearest integer?
Calculation: 20
Prompt: What is 2357 to the power of 1/4, to the nearest integer?
Calculation: 7
Prompt: What is 12306354 to the power of 1/2, to the nearest integer?
Calculation: 3508
Prompt: What is 98969 to the power of 1/2, to the nearest integer?
Calculation: 315
Prompt: What is the ninth root of 9815 to the nearest integer?
Calculation: 3
Prompt: What is 1936291 to the power of 1/4, to the nearest integer?
Calculation: 37
Prompt: What is the cube root of 362485 to the nearest integer?
Calculation: 71
Prompt: What is the
|
english
|
measurement: time
-----------------
What if: How many minutes are there between 11:53 AM and 1:50 PM?
Output: 117
What if: How many minutes are there between 6:48 PM and 10:39 PM?
Output: 231
What if: How many minutes are there between 5:12 AM and 3:48 PM?
Output: 636
What if: How many minutes are there between 3:42 PM and 5:14 PM?
Output: 92
What if: What is 463 minutes after 7:27 AM?
Output: 3:10 PM
What if: How many minutes are there between 5:44 PM and 7:12 PM?
Output: 88
What if: What is 19 minutes after 11:11 AM?
Output: 11:30 AM
What if: What is 366 minutes before 6:16 PM?
Output: 12:10 PM
What if: What is 128 minutes before 7:23 PM?
Output: 5:15 PM
What if: What is 371 minutes after 4:54 AM?
Output: 11:05 AM
What if: What is 59 minutes before 10:32 AM?
Output: 9:33 AM
What if: How many minutes are there between 7:00 PM and 7:53 PM?
Output: 53
What if: What is 524 minutes before 4:32 AM?
Output: 7:48 PM
What if: How many minutes are there between 5:36 AM and 11:03 AM?
Output: 327
What if: How many minutes are there between 7:05 PM and 4:35 AM?
Output: 570
What if: What is 88 minutes before 10:06 AM?
Output: 8:38 AM
What if: What is 172 minutes after 10:37 AM?
Output: 1:29 PM
What if: How many minutes are there between 9:58 AM and 8:45 PM?
Output: 647
What if: What is 327 minutes after 3:21 PM?
Output: 8:48 PM
What if: What is 507 minutes after 8:25 PM?
Output: 4:52 AM
What if: How many minutes are there between 6:17 PM and 12:43 AM?
Output: 386
What if: How many minutes are there between 7:55 AM and 4:40 PM?
Output: 525
What if: What is 305 minutes after 2:09 AM?
Output: 7:14 AM
What if: How many minutes are there between 4:03 AM and 1:16 PM?
Output: 553
What if: What is 445 minutes before 5:44 AM?
Output: 10:19 PM
What if: What is 82 minutes before 7:22 AM?
Output: 6:00 AM
What if: What is 135 minutes after 6:46 PM?
Output: 9:01 PM
What if: What is 676 minutes before 8:52 PM?
Output: 9:36 AM
What if: What is 535 minutes before 8:54 AM?
Output: 11:59 PM
What
|
english
|
numbers: div remainder
----------------------
Let: What is the remainder when 6177 is divided by 101?
Thus: 16
Let: Calculate the remainder when 12664 is divided by 99.
Thus: 91
Let: What is the remainder when 624824 is divided by 30?
Thus: 14
Let: What is the remainder when 23263 is divided by 23076?
Thus: 187
Let: What is the remainder when 7382 is divided by 23?
Thus: 22
Let: What is the remainder when 107024430 is divided by 11891603?
Thus: 3
Let: Calculate the remainder when 14685537 is divided by 28.
Thus: 13
Let: What is the remainder when 5757 is divided by 1280?
Thus: 637
Let: What is the remainder when 1091 is divided by 369?
Thus: 353
Let: Calculate the remainder when 23952 is divided by 90.
Thus: 12
Let: What is the remainder when 531 is divided by 44?
Thus: 3
Let: What is the remainder when 5822 is divided by 531?
Thus: 512
Let: Calculate the remainder when 67 is divided by 38.
Thus: 29
Let: What is the remainder when 9528 is divided by 672?
Thus: 120
Let: What is the remainder when 10763255 is divided by 42?
Thus: 41
Let: Calculate the remainder when 459 is divided by 276.
Thus: 183
Let: Calculate the remainder when 2798 is divided by 104.
Thus: 94
Let: What is the remainder when 64 is divided by 17?
Thus: 13
Let: What is the remainder when 2334 is divided by 183?
Thus: 138
Let: Calculate the remainder when 3229 is divided by 5.
Thus: 4
Let: Calculate the remainder when 1492520 is divided by 4482.
Thus: 14
Let: Calculate the remainder when 75 is divided by 16.
Thus: 11
Let: Calculate the remainder when 16249 is divided by 442.
Thus: 337
Let: What is the remainder when 147 is divided by 34?
Thus: 11
Let: Calculate the remainder when 2840 is divided by 174.
Thus: 56
Let: What is the remainder when 10533 is divided by 35?
Thus: 33
Let: What is the remainder when 12977 is divided by 213?
Thus: 197
Let: Calculate the remainder when 26 is divided by 10.
Thus: 6
Let: Calculate the remainder when 426523 is divided by 6.
Thus: 1
Let: Calculate the remainder whe
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english
|
numbers: div remainder
----------------------
Subject: Calculate the remainder when 319682971 is divided by 16.
Answer: 11
Subject: What is the remainder when 4164 is divided by 610?
Answer: 504
Subject: What is the remainder when 1662 is divided by 321?
Answer: 57
Subject: Calculate the remainder when 7242892 is divided by 13640.
Answer: 52
Subject: What is the remainder when 88917 is divided by 90?
Answer: 87
Subject: What is the remainder when 19722372 is divided by 710?
Answer: 702
Subject: What is the remainder when 122 is divided by 66?
Answer: 56
Subject: Calculate the remainder when 201213 is divided by 32.
Answer: 29
Subject: What is the remainder when 1024 is divided by 19?
Answer: 17
Subject: Calculate the remainder when 68171495 is divided by 34.
Answer: 33
Subject: Calculate the remainder when 12232 is divided by 54.
Answer: 28
Subject: Calculate the remainder when 5175 is divided by 366.
Answer: 51
Subject: Calculate the remainder when 140186729 is divided by 23364453.
Answer: 11
Subject: Calculate the remainder when 67848601 is divided by 69517.
Answer: 9
Subject: Calculate the remainder when 151179 is divided by 1281.
Answer: 21
Subject: Calculate the remainder when 203 is divided by 21.
Answer: 14
Subject: Calculate the remainder when 265 is divided by 14.
Answer: 13
Subject: What is the remainder when 6915139 is divided by 52?
Answer: 23
Subject: Calculate the remainder when 12203 is divided by 31.
Answer: 20
Subject: Calculate the remainder when 758 is divided by 55.
Answer: 43
Subject: Calculate the remainder when 369 is divided by 8.
Answer: 1
Subject: What is the remainder when 235540 is divided by 37?
Answer: 35
Subject: What is the remainder when 554 is divided by 183?
Answer: 5
Subject: Calculate the remainder when 101578672 is divided by 11.
Answer: 8
Subject: What is the remainder when 672121 is divided by 22?
Answer: 21
Subject: What is the remainder when 26326 is divided by 26305?
Answer: 21
Subject: Calculate the remainder when 388781 i
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english
|
numbers: place value
--------------------
What if: What is the hundreds digit of 218?
Explanation: 2
What if: What is the ten thousands digit of 49593003?
Explanation: 9
What if: What is the tens digit of 1479264790?
Explanation: 9
What if: What is the units digit of 2922806?
Explanation: 6
What if: What is the ten millions digit of 4928686600?
Explanation: 2
What if: What is the ten thousands digit of 2520476969?
Explanation: 7
What if: What is the hundreds digit of 7007195147?
Explanation: 1
What if: What is the hundreds digit of 2051?
Explanation: 0
What if: What is the thousands digit of 10872075?
Explanation: 2
What if: What is the hundreds digit of 2616?
Explanation: 6
What if: What is the millions digit of 5553100288?
Explanation: 3
What if: What is the hundreds digit of 1519?
Explanation: 5
What if: What is the ten thousands digit of 114724?
Explanation: 1
What if: What is the ten millions digit of 823361859?
Explanation: 2
What if: What is the tens digit of 55835242?
Explanation: 4
What if: What is the millions digit of 1306563?
Explanation: 1
What if: What is the hundreds digit of 719?
Explanation: 7
What if: What is the millions digit of 1183514294?
Explanation: 3
What if: What is the hundreds digit of 1573?
Explanation: 5
What if: What is the hundred millions digit of 327027197?
Explanation: 3
What if: What is the thousands digit of 158766554?
Explanation: 6
What if: What is the tens digit of 102601909?
Explanation: 0
What if: What is the millions digit of 12008758?
Explanation: 2
What if: What is the units digit of 1949?
Explanation: 9
What if: What is the thousands digit of 2762?
Explanation: 2
What if: What is the tens digit of 931355?
Explanation: 5
What if: What is the thousands digit of 2895753492?
Explanation: 3
What if: What is the hundreds digit of 5410?
Explanation: 4
What if: What is the thousands digit of 136147748?
Explanation: 7
What if: What is the hundreds digit of 320010?
Explanation: 0
What if: What is the ten thousands digit of 139250?
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english
|
probability: swr p sequence
---------------------------
Let: Three letters picked without replacement from {c: 7, y: 2, u: 1, f: 1, e: 6}. Give prob of sequence yfe.
Outcome: 1/340
Let: What is prob of sequence ct when two letters picked without replacement from {c: 2, f: 1, y: 6, q: 1, t: 5}?
Outcome: 1/21
Let: What is prob of sequence xe when two letters picked without replacement from pxect?
Outcome: 1/20
Let: What is prob of sequence nnnn when four letters picked without replacement from ntttttttttnntttttttn?
Outcome: 1/4845
Let: Two letters picked without replacement from {u: 2, c: 13, q: 1, i: 1}. What is prob of sequence qu?
Outcome: 1/136
Let: Calculate prob of sequence kk when two letters picked without replacement from aakakk.
Outcome: 1/5
Let: Two letters picked without replacement from {g: 15, f: 3, d: 2}. What is prob of sequence dg?
Outcome: 3/38
Let: What is prob of sequence zfzf when four letters picked without replacement from gzhzhzzhzhzffzgjhf?
Outcome: 7/2040
Let: Four letters picked without replacement from oooohhohooooooohoo. What is prob of sequence hhoh?
Outcome: 7/1530
Let: Four letters picked without replacement from {h: 5, c: 1, q: 4}. What is prob of sequence cqqh?
Outcome: 1/84
Let: Calculate prob of sequence io when two letters picked without replacement from igoscctitcgg.
Outcome: 1/66
Let: Three letters picked without replacement from ssqyyyz. Give prob of sequence yzs.
Outcome: 1/35
Let: What is prob of sequence tyy when three letters picked without replacement from jytj?
Outcome: 0
Let: Two letters picked without replacement from {s: 13, c: 3}. Give prob of sequence cs.
Outcome: 13/80
Let: What is prob of sequence em when two letters picked without replacement from memeemnmem?
Outcome: 2/9
Let: Two letters picked without replacement from {s: 1, y: 2, n: 1, i: 3, o: 3, a: 1}. What is prob of sequence is?
Outcome: 3/110
Let: Calculate prob of sequence ttjt when four letters picked without replacement from ttzzjtt.
Outcome: 1/35
Let: W
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probability: swr p level set
----------------------------
Q.: What is prob of picking 2 i and 1 w when three letters picked without replacement from {i: 4, w: 1, k: 1, n: 2}?
Result: 3/28
Q.: Calculate prob of picking 4 l when four letters picked without replacement from llbqlllllqqp.
Result: 7/99
Q.: Three letters picked without replacement from jlijkjjilk. Give prob of picking 2 k and 1 i.
Result: 1/60
Q.: What is prob of picking 2 s and 2 d when four letters picked without replacement from sssdssssdsds?
Result: 12/55
Q.: Two letters picked without replacement from yjdynvv. What is prob of picking 2 y?
Result: 1/21
Q.: Three letters picked without replacement from wywtyywyymmyymyyym. Give prob of picking 1 y and 2 m.
Result: 5/68
Q.: What is prob of picking 1 h and 1 v when two letters picked without replacement from yvhvvvvvyv?
Result: 7/45
Q.: Two letters picked without replacement from mhmhhm. What is prob of picking 2 h?
Result: 1/5
Q.: What is prob of picking 3 j when three letters picked without replacement from {j: 4}?
Result: 1
Q.: What is prob of picking 1 p, 1 c, 1 r, and 1 y when four letters picked without replacement from rrcrrrphy?
Result: 5/126
Q.: Three letters picked without replacement from {v: 1, a: 2, p: 1, c: 1, e: 2, d: 2}. Give prob of picking 2 a and 1 d.
Result: 1/42
Q.: Three letters picked without replacement from pmukuuuuupgugmu. Give prob of picking 1 p, 1 g, and 1 k.
Result: 4/455
Q.: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {b: 3, w: 15}.
Result: 5/17
Q.: Two letters picked without replacement from {w: 1, h: 4, g: 4, m: 2, a: 7}. Give prob of picking 2 g.
Result: 2/51
Q.: Two letters picked without replacement from {f: 2, g: 2, e: 1, v: 1, t: 2, r: 1}. What is prob of picking 1 f and 1 g?
Result: 1/9
Q.: What is prob of picking 1 u and 3 b when four letters picked without replacement from {u: 2, b: 4}?
Result: 8/15
Q.: Calculate prob of picking 1 w and 1 o when two letters picked without
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probability: swr p level set
----------------------------
Math Problem: What is prob of picking 1 f, 1 p, and 2 w when four letters picked without replacement from {w: 3, f: 1, t: 1, p: 5}?
Hence: 1/14
Math Problem: Calculate prob of picking 3 t when three letters picked without replacement from {t: 9}.
Hence: 1
Math Problem: Three letters picked without replacement from {m: 5, t: 6, h: 2}. What is prob of picking 1 t and 2 m?
Hence: 30/143
Math Problem: Calculate prob of picking 2 t when two letters picked without replacement from jjjjjthhtjtjtj.
Hence: 6/91
Math Problem: What is prob of picking 1 x and 2 z when three letters picked without replacement from zxzxzzxzxzzzzw?
Hence: 36/91
Math Problem: Four letters picked without replacement from uuuuuuuququuuuuuuuu. What is prob of picking 1 q and 3 u?
Hence: 20/57
Math Problem: Calculate prob of picking 2 i when two letters picked without replacement from {f: 1, i: 2, l: 4, h: 1, v: 2, p: 2}.
Hence: 1/66
Math Problem: Two letters picked without replacement from owwssoosssoyooswwsos. What is prob of picking 1 y and 1 s?
Hence: 4/95
Math Problem: What is prob of picking 2 j and 2 k when four letters picked without replacement from {j: 3, p: 6, u: 1, k: 2}?
Hence: 1/165
Math Problem: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {j: 4, g: 1, n: 2, o: 1, p: 1, v: 3}.
Hence: 1/66
Math Problem: Three letters picked without replacement from {y: 9, h: 11}. Give prob of picking 1 y and 2 h.
Hence: 33/76
Math Problem: Calculate prob of picking 1 t, 1 b, and 1 k when three letters picked without replacement from bsptktbbspbtsbpkss.
Hence: 5/136
Math Problem: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from ppzzpppp.
Hence: 15/28
Math Problem: Calculate prob of picking 1 b, 1 p, and 1 m when three letters picked without replacement from nbmnbppmppm.
Hence: 8/55
Math Problem: Four letters picked without replacement from ssggggsgsssggs. What is prob
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numbers: gcd
------------
Qn: Calculate the highest common factor of 50 and 380.
Math A: 10
Qn: Calculate the highest common divisor of 244044 and 7281.
Math A: 9
Qn: Calculate the greatest common factor of 668 and 76560816.
Math A: 668
Qn: What is the highest common divisor of 1288143343 and 56636?
Math A: 14159
Qn: Calculate the highest common divisor of 462 and 14.
Math A: 14
Qn: Calculate the highest common factor of 1767 and 316014.
Math A: 93
Qn: What is the greatest common factor of 747072 and 1206?
Math A: 18
Qn: Calculate the greatest common divisor of 75823671 and 37576.
Math A: 4697
Qn: What is the greatest common divisor of 24854 and 630598?
Math A: 578
Qn: Calculate the greatest common factor of 52 and 1586.
Math A: 26
Qn: Calculate the highest common divisor of 11 and 2358763.
Math A: 11
Qn: Calculate the greatest common divisor of 4 and 119078426.
Math A: 2
Qn: Calculate the highest common factor of 2125 and 75625.
Math A: 125
Qn: Calculate the greatest common divisor of 13300 and 196.
Math A: 28
Qn: Calculate the greatest common factor of 823742 and 13064.
Math A: 142
Qn: What is the greatest common factor of 29097 and 18126?
Math A: 477
Qn: Calculate the highest common factor of 567 and 189.
Math A: 189
Qn: Calculate the greatest common divisor of 20140 and 38.
Math A: 38
Qn: Calculate the highest common factor of 1044 and 2268.
Math A: 36
Qn: Calculate the highest common factor of 5971 and 14.
Math A: 7
Qn: Calculate the highest common factor of 1517888 and 28416.
Math A: 2368
Qn: What is the greatest common factor of 66016 and 32?
Math A: 32
Qn: What is the greatest common divisor of 493 and 998886?
Math A: 17
Qn: Calculate the highest common divisor of 140840 and 4.
Math A: 4
Qn: What is the greatest common divisor of 3 and 5940?
Math A: 3
Qn: Calculate the highest common divisor of 19487716 and 91264.
Math A: 2852
Qn: What is the greatest common factor of 4541646 and 34200?
Math A: 114
Qn: What is the greatest common factor of 261 and 510951?
Ma
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numbers: div remainder
----------------------
Exercise: What is the remainder when 27338407 is divided by 1727?
Calculation: 1724
Exercise: What is the remainder when 1441 is divided by 297?
Calculation: 253
Exercise: Calculate the remainder when 4260 is divided by 398.
Calculation: 280
Exercise: Calculate the remainder when 6490686 is divided by 23264.
Calculation: 30
Exercise: Calculate the remainder when 120211 is divided by 1486.
Calculation: 1331
Exercise: Calculate the remainder when 1805148 is divided by 289.
Calculation: 54
Exercise: Calculate the remainder when 710 is divided by 134.
Calculation: 40
Exercise: Calculate the remainder when 295 is divided by 195.
Calculation: 100
Exercise: Calculate the remainder when 196 is divided by 95.
Calculation: 6
Exercise: Calculate the remainder when 139862 is divided by 48.
Calculation: 38
Exercise: What is the remainder when 37150 is divided by 37136?
Calculation: 14
Exercise: Calculate the remainder when 85888 is divided by 11.
Calculation: 0
Exercise: What is the remainder when 1812 is divided by 134?
Calculation: 70
Exercise: What is the remainder when 416475 is divided by 52?
Calculation: 7
Exercise: Calculate the remainder when 20293 is divided by 17.
Calculation: 12
Exercise: What is the remainder when 119181 is divided by 1023?
Calculation: 513
Exercise: Calculate the remainder when 146 is divided by 46.
Calculation: 8
Exercise: Calculate the remainder when 3769 is divided by 163.
Calculation: 20
Exercise: Calculate the remainder when 400651 is divided by 2927.
Calculation: 2579
Exercise: Calculate the remainder when 68787 is divided by 12386.
Calculation: 6857
Exercise: Calculate the remainder when 124 is divided by 10.
Calculation: 4
Exercise: Calculate the remainder when 152247 is divided by 30.
Calculation: 27
Exercise: What is the remainder when 501798 is divided by 362?
Calculation: 66
Exercise: Calculate the remainder when 55 is divided by 10.
Calculation: 5
Exercise: What is the remainder when 189 is
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arithmetic: nearest integer root
--------------------------------
Problem Statement: What is the ninth root of 22697680 to the nearest integer?
Outcome: 7
Problem Statement: What is the third root of 8272 to the nearest integer?
Outcome: 20
Problem Statement: What is 104024719 to the power of 1/2, to the nearest integer?
Outcome: 10199
Problem Statement: What is the eighth root of 1125 to the nearest integer?
Outcome: 2
Problem Statement: What is the third root of 419480884 to the nearest integer?
Outcome: 749
Problem Statement: What is the square root of 122500 to the nearest integer?
Outcome: 350
Problem Statement: What is 1940236 to the power of 1/2, to the nearest integer?
Outcome: 1393
Problem Statement: What is the third root of 307355 to the nearest integer?
Outcome: 67
Problem Statement: What is the square root of 18293 to the nearest integer?
Outcome: 135
Problem Statement: What is 56026 to the power of 1/5, to the nearest integer?
Outcome: 9
Problem Statement: What is the square root of 19066525 to the nearest integer?
Outcome: 4367
Problem Statement: What is 923955737 to the power of 1/4, to the nearest integer?
Outcome: 174
Problem Statement: What is 49748514 to the power of 1/10, to the nearest integer?
Outcome: 6
Problem Statement: What is 74779962 to the power of 1/3, to the nearest integer?
Outcome: 421
Problem Statement: What is the tenth root of 15991419 to the nearest integer?
Outcome: 5
Problem Statement: What is the seventh root of 91400671 to the nearest integer?
Outcome: 14
Problem Statement: What is the seventh root of 726022 to the nearest integer?
Outcome: 7
Problem Statement: What is the third root of 76192 to the nearest integer?
Outcome: 42
Problem Statement: What is 4527960 to the power of 1/3, to the nearest integer?
Outcome: 165
Problem Statement: What is the cube root of 45128093 to the nearest integer?
Outcome: 356
Problem Statement: What is 12004868 to the power of 1/5, to the nearest integer?
Outcome: 26
Problem Statement: What is
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numbers: is factor
------------------
Exercise: Is 29 a factor of 343?
Derivation: False
Exercise: Is 8 a factor of 992?
Derivation: True
Exercise: Is 26103 a multiple of 94?
Derivation: False
Exercise: Is 3 a factor of 113321?
Derivation: False
Exercise: Is 1445701 a multiple of 953?
Derivation: True
Exercise: Does 1629 divide 2764413?
Derivation: True
Exercise: Is 12219 a multiple of 49?
Derivation: False
Exercise: Is 1947308 a multiple of 4?
Derivation: True
Exercise: Does 63 divide 26082?
Derivation: True
Exercise: Does 11 divide 689713?
Derivation: False
Exercise: Is 362907096 a multiple of 24?
Derivation: True
Exercise: Is 4888 a multiple of 37?
Derivation: False
Exercise: Is 267374240 a multiple of 1120?
Derivation: True
Exercise: Does 130 divide 972238?
Derivation: False
Exercise: Does 147 divide 267067?
Derivation: False
Exercise: Is 90 a multiple of 23?
Derivation: False
Exercise: Is 8 a factor of 8568752?
Derivation: True
Exercise: Does 1662 divide 714445602?
Derivation: True
Exercise: Is 26 a factor of 101?
Derivation: False
Exercise: Is 672 a factor of 1795183?
Derivation: False
Exercise: Is 91 a factor of 68494790?
Derivation: True
Exercise: Is 29 a factor of 4136?
Derivation: False
Exercise: Is 692 a factor of 4657852?
Derivation: True
Exercise: Does 110 divide 213400?
Derivation: True
Exercise: Does 534 divide 136841772?
Derivation: True
Exercise: Is 11 a factor of 50659?
Derivation: False
Exercise: Is 6024 a multiple of 187?
Derivation: False
Exercise: Is 2810 a multiple of 31?
Derivation: False
Exercise: Is 14 a factor of 158?
Derivation: False
Exercise: Is 88 a factor of 23056?
Derivation: True
Exercise: Does 11 divide 7307674?
Derivation: True
Exercise: Does 197 divide 17139?
Derivation: True
Exercise: Is 934 a multiple of 20?
Derivation: False
Exercise: Is 14755861 a multiple of 79?
Derivation: False
Exercise: Is 34457644 a multiple of 26?
Derivation: True
Exercise: Is 13620 a multiple of 20?
Derivation: True
Exercise: Does 5 divide 12895?
Deriv
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probability: swr p level set
----------------------------
Problem: What is prob of picking 1 s, 1 u, 1 j, and 1 k when four letters picked without replacement from {j: 9, u: 6, s: 1, k: 3}?
Reply: 27/646
Problem: Two letters picked without replacement from {f: 7, u: 1}. Give prob of picking 1 f and 1 u.
Reply: 1/4
Problem: Calculate prob of picking 2 c when two letters picked without replacement from fffffcffc.
Reply: 1/36
Problem: Two letters picked without replacement from htcwttttwthewwc. Give prob of picking 2 h.
Reply: 1/105
Problem: What is prob of picking 1 u, 1 a, and 2 h when four letters picked without replacement from hrhduadhdaf?
Reply: 1/55
Problem: Calculate prob of picking 2 b when two letters picked without replacement from ggbebbebebg.
Reply: 2/11
Problem: Three letters picked without replacement from bbbbaggggbbaaabbmg. Give prob of picking 2 g and 1 b.
Reply: 5/51
Problem: Two letters picked without replacement from {o: 11, q: 9}. What is prob of picking 1 q and 1 o?
Reply: 99/190
Problem: Calculate prob of picking 1 i and 3 l when four letters picked without replacement from lliilil.
Reply: 12/35
Problem: Calculate prob of picking 4 s when four letters picked without replacement from {l: 3, s: 4}.
Reply: 1/35
Problem: Two letters picked without replacement from uouuuuuuouu. Give prob of picking 2 o.
Reply: 1/55
Problem: What is prob of picking 3 a and 1 p when four letters picked without replacement from qpqaqpqqaqqqqaqqappq?
Reply: 16/4845
Problem: What is prob of picking 1 x and 2 v when three letters picked without replacement from xvvvvxvvvvvv?
Reply: 9/22
Problem: Two letters picked without replacement from {y: 6, k: 8, g: 1}. Give prob of picking 2 y.
Reply: 1/7
Problem: Two letters picked without replacement from yyjogvp. What is prob of picking 1 y and 1 j?
Reply: 2/21
Problem: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {a: 1, d: 1, p: 1, y: 1, r: 1}.
Reply: 1/10
Problem: What is prob of picking
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probability: swr p sequence
---------------------------
Q/A: What is prob of sequence ee when two letters picked without replacement from {e: 10, v: 2}?
Solution: 15/22
Q/A: Calculate prob of sequence guy when three letters picked without replacement from kruyhkhrkhkkhhkghhhh.
Solution: 1/6840
Q/A: Calculate prob of sequence xxmm when four letters picked without replacement from xxxxmxxmxmx.
Solution: 7/165
Q/A: Two letters picked without replacement from lrbrrlrlrrrlrcrrc. What is prob of sequence cb?
Solution: 1/136
Q/A: Calculate prob of sequence ftfy when four letters picked without replacement from {y: 4, f: 2, t: 4, d: 4}.
Solution: 4/3003
Q/A: Two letters picked without replacement from ooobedouddu. Give prob of sequence eu.
Solution: 1/55
Q/A: What is prob of sequence zie when three letters picked without replacement from jjjizejzjjkjkjjlzlj?
Solution: 1/1938
Q/A: Three letters picked without replacement from {d: 1, x: 4, t: 2}. What is prob of sequence dxd?
Solution: 0
Q/A: Four letters picked without replacement from {m: 1, f: 6, x: 4, t: 4}. Give prob of sequence mfft.
Solution: 1/273
Q/A: What is prob of sequence zol when three letters picked without replacement from ljnotlllojloozoojl?
Solution: 1/136
Q/A: Calculate prob of sequence ppp when three letters picked without replacement from {a: 7, p: 7}.
Solution: 5/52
Q/A: Four letters picked without replacement from gppgpg. Give prob of sequence gggp.
Solution: 1/20
Q/A: Four letters picked without replacement from cxxxxxxxxxxxx. What is prob of sequence xcxx?
Solution: 1/13
Q/A: Two letters picked without replacement from fzpppflfpppx. What is prob of sequence fx?
Solution: 1/44
Q/A: Calculate prob of sequence li when two letters picked without replacement from {m: 3, y: 2, i: 6, l: 1, s: 2}.
Solution: 3/91
Q/A: Four letters picked without replacement from oqqnqqujjnnjn. Give prob of sequence jjuo.
Solution: 1/2860
Q/A: What is prob of sequence shhh when four letters picked without replacement from {v: 5
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probability: swr p level set
----------------------------
Inquiry: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 12, x: 7}?
Ans: 28/57
Inquiry: Three letters picked without replacement from uuuuuduauuuuuu. Give prob of picking 1 u and 2 d.
Ans: 0
Inquiry: Three letters picked without replacement from {j: 6, e: 4, b: 2}. Give prob of picking 2 j and 1 b.
Ans: 3/22
Inquiry: Two letters picked without replacement from {x: 2, c: 2, h: 1}. Give prob of picking 1 h and 1 x.
Ans: 1/5
Inquiry: Three letters picked without replacement from {l: 4, d: 2, y: 3}. What is prob of picking 3 l?
Ans: 1/21
Inquiry: Two letters picked without replacement from {i: 2, h: 2}. Give prob of picking 2 h.
Ans: 1/6
Inquiry: What is prob of picking 2 p when two letters picked without replacement from {l: 1, t: 5, i: 1, p: 3}?
Ans: 1/15
Inquiry: Calculate prob of picking 1 f and 3 y when four letters picked without replacement from {y: 3, f: 2, p: 2, k: 2}.
Ans: 1/63
Inquiry: Four letters picked without replacement from iwiiiiwiwii. Give prob of picking 2 i and 2 w.
Ans: 14/55
Inquiry: Calculate prob of picking 2 r when two letters picked without replacement from oovrvvvvvjrvovooro.
Ans: 1/51
Inquiry: Two letters picked without replacement from {c: 3, e: 17}. What is prob of picking 2 e?
Ans: 68/95
Inquiry: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from cxxxccxcccc.
Ans: 14/55
Inquiry: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from zzzzrzzrzzzzz.
Ans: 1/26
Inquiry: Four letters picked without replacement from xxbbxbxbfxxbbbbbbxxb. What is prob of picking 1 x and 3 b?
Ans: 88/323
Inquiry: Three letters picked without replacement from fcccbzzbbbc. What is prob of picking 1 c and 2 z?
Ans: 4/165
Inquiry: What is prob of picking 1 i and 1 w when two letters picked without replacement from {w: 2, i: 3, a: 5, n: 2}?
Ans: 1/11
Inquiry: Three letters picked without replacement
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numbers: is prime
-----------------
Math Q: Is 10884917 a prime number?
Outcome: True
Math Q: Is 63191 a composite number?
Outcome: True
Math Q: Is 999926123 prime?
Outcome: False
Math Q: Is 102965 a composite number?
Outcome: True
Math Q: Is 95383 a composite number?
Outcome: False
Math Q: Is 627491 a composite number?
Outcome: False
Math Q: Is 33457 composite?
Outcome: False
Math Q: Is 45805 prime?
Outcome: False
Math Q: Is 3117383 composite?
Outcome: True
Math Q: Is 2767 prime?
Outcome: True
Math Q: Is 167641918 a prime number?
Outcome: False
Math Q: Is 55974169123 a composite number?
Outcome: True
Math Q: Is 173487829 prime?
Outcome: False
Math Q: Is 3057180239 a prime number?
Outcome: True
Math Q: Is 50849 prime?
Outcome: True
Math Q: Is 114547 composite?
Outcome: False
Math Q: Is 5623 a prime number?
Outcome: True
Math Q: Is 1998967429 prime?
Outcome: True
Math Q: Is 1349 composite?
Outcome: True
Math Q: Is 154531 a composite number?
Outcome: True
Math Q: Is 213417661 composite?
Outcome: False
Math Q: Is 58669733 a composite number?
Outcome: True
Math Q: Is 31473061 a composite number?
Outcome: False
Math Q: Is 7330703 composite?
Outcome: False
Math Q: Is 4667 a prime number?
Outcome: False
Math Q: Is 38791741 composite?
Outcome: True
Math Q: Is 58574 a composite number?
Outcome: True
Math Q: Is 9511 composite?
Outcome: False
Math Q: Is 25195 a prime number?
Outcome: False
Math Q: Is 2381165 composite?
Outcome: True
Math Q: Is 37351 prime?
Outcome: False
Math Q: Is 2458167193 composite?
Outcome: False
Math Q: Is 145729 prime?
Outcome: False
Math Q: Is 14794762049 a composite number?
Outcome: False
Math Q: Is 4103668031 a prime number?
Outcome: True
Math Q: Is 8651 composite?
Outcome: True
Math Q: Is 22735 composite?
Outcome: True
Math Q: Is 19148192269 a composite number?
Outcome: True
Math Q: Is 88572373 prime?
Outcome: True
Math Q: Is 775057 composite?
Outcome: False
Math Q: Is 1047823 a composite number?
Outcome: True
Math Q: Is 186612983 a composite number
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measurement: conversion
-----------------------
Topic: What is 45/4 of a decade in months?
Soln: 1350
Topic: What is 7/8 of a gram in milligrams?
Soln: 875
Topic: How many years are there in nine tenths of a decade?
Soln: 9
Topic: What is eighteen fifths of a milligram in micrograms?
Soln: 3600
Topic: Convert 1420.379km to nanometers.
Soln: 1420379000000000
Topic: How many centuries are there in 461.1134 decades?
Soln: 46.11134
Topic: How many millilitres are there in 0.6521149l?
Soln: 652.1149
Topic: What is 38798.36ng in kilograms?
Soln: 0.00000003879836
Topic: What is 4.323541 decades in centuries?
Soln: 0.4323541
Topic: What is 77109.42 centimeters in kilometers?
Soln: 0.7710942
Topic: How many seconds are there in twenty-three thirds of a hour?
Soln: 27600
Topic: How many centimeters are there in fifty-nine fifths of a meter?
Soln: 1180
Topic: How many seconds are there in 1/60 of a week?
Soln: 10080
Topic: How many millilitres are there in 0.6157578 litres?
Soln: 615.7578
Topic: What is 10/7 of a week in hours?
Soln: 240
Topic: How many millilitres are there in 903.6072 litres?
Soln: 903607.2
Topic: How many litres are there in 6.318796 millilitres?
Soln: 0.006318796
Topic: What is one fifth of a decade in years?
Soln: 2
Topic: How many months are there in 107305.7 decades?
Soln: 12876684
Topic: How many grams are there in 978.0695t?
Soln: 978069500
Topic: How many microseconds are there in 1354.727s?
Soln: 1354727000
Topic: How many litres are there in 2144.993 millilitres?
Soln: 2.144993
Topic: What is 959928.2 grams in tonnes?
Soln: 0.9599282
Topic: How many years are there in 887811.9 millennia?
Soln: 887811900
Topic: Convert 52964.12nm to meters.
Soln: 0.00005296412
Topic: What is 27/4 of a kilogram in grams?
Soln: 6750
Topic: What is fourty-five quarters of a meter in millimeters?
Soln: 11250
Topic: Convert 7.17264g to nanograms.
Soln: 7172640000
Topic: What is three fifths of a litre in millilitres?
Soln: 600
Topic: How many grams are there in 17/2 of a
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measurement: time
-----------------
Prompt: How many minutes are there between 9:56 AM and 4:27 PM?
Answer: 391
Prompt: What is 664 minutes after 10:04 PM?
Answer: 9:08 AM
Prompt: What is 315 minutes after 3:19 PM?
Answer: 8:34 PM
Prompt: What is 690 minutes before 1:00 PM?
Answer: 1:30 AM
Prompt: How many minutes are there between 1:38 PM and 1:11 AM?
Answer: 693
Prompt: What is 596 minutes before 3:24 PM?
Answer: 5:28 AM
Prompt: How many minutes are there between 8:24 AM and 5:10 PM?
Answer: 526
Prompt: What is 135 minutes after 4:16 PM?
Answer: 6:31 PM
Prompt: How many minutes are there between 11:36 PM and 10:37 AM?
Answer: 661
Prompt: What is 240 minutes after 8:17 AM?
Answer: 12:17 PM
Prompt: How many minutes are there between 6:14 PM and 10:20 PM?
Answer: 246
Prompt: What is 223 minutes before 12:14 AM?
Answer: 8:31 PM
Prompt: How many minutes are there between 12:02 AM and 11:31 AM?
Answer: 689
Prompt: What is 302 minutes before 6:04 AM?
Answer: 1:02 AM
Prompt: What is 203 minutes before 7:50 PM?
Answer: 4:27 PM
Prompt: How many minutes are there between 3:11 PM and 10:36 PM?
Answer: 445
Prompt: What is 406 minutes after 9:02 PM?
Answer: 3:48 AM
Prompt: What is 589 minutes after 3:35 PM?
Answer: 1:24 AM
Prompt: What is 705 minutes after 2:07 PM?
Answer: 1:52 AM
Prompt: How many minutes are there between 10:21 AM and 3:23 PM?
Answer: 302
Prompt: What is 586 minutes before 1:24 PM?
Answer: 3:38 AM
Prompt: How many minutes are there between 7:30 PM and 2:38 AM?
Answer: 428
Prompt: What is 573 minutes after 1:59 PM?
Answer: 11:32 PM
Prompt: How many minutes are there between 7:47 PM and 5:36 AM?
Answer: 589
Prompt: How many minutes are there between 11:43 PM and 10:35 AM?
Answer: 652
Prompt: How many minutes are there between 7:30 PM and 7:49 PM?
Answer: 19
Prompt: How many minutes are there between 6:41 PM and 7:48 PM?
Answer: 67
Prompt: What is 52 minutes before 4:17 AM?
Answer: 3:25 AM
Prompt: What is 644 minutes before 7:46 PM?
Answer: 9:02 AM
Prompt: How ma
|
english
|
measurement: time
-----------------
Task: What is 556 minutes after 9:17 PM?
Key: 6:33 AM
Task: What is 681 minutes before 11:11 PM?
Key: 11:50 AM
Task: How many minutes are there between 11:12 PM and 11:51 PM?
Key: 39
Task: What is 320 minutes after 3:49 AM?
Key: 9:09 AM
Task: How many minutes are there between 3:36 PM and 6:10 PM?
Key: 154
Task: What is 295 minutes after 5:46 AM?
Key: 10:41 AM
Task: How many minutes are there between 2:24 AM and 1:51 PM?
Key: 687
Task: How many minutes are there between 5:58 PM and 11:52 PM?
Key: 354
Task: What is 181 minutes after 11:03 PM?
Key: 2:04 AM
Task: What is 253 minutes after 10:37 PM?
Key: 2:50 AM
Task: What is 693 minutes after 2:29 PM?
Key: 2:02 AM
Task: What is 283 minutes after 7:15 AM?
Key: 11:58 AM
Task: How many minutes are there between 2:15 AM and 8:26 AM?
Key: 371
Task: How many minutes are there between 9:53 AM and 3:37 PM?
Key: 344
Task: What is 2 minutes after 7:25 AM?
Key: 7:27 AM
Task: How many minutes are there between 12:36 PM and 5:40 PM?
Key: 304
Task: What is 480 minutes after 8:42 AM?
Key: 4:42 PM
Task: What is 251 minutes before 7:07 AM?
Key: 2:56 AM
Task: What is 54 minutes before 11:13 AM?
Key: 10:19 AM
Task: How many minutes are there between 7:35 AM and 7:47 AM?
Key: 12
Task: How many minutes are there between 8:31 AM and 7:40 PM?
Key: 669
Task: How many minutes are there between 1:02 AM and 6:30 AM?
Key: 328
Task: What is 173 minutes after 1:52 PM?
Key: 4:45 PM
Task: What is 277 minutes after 1:51 PM?
Key: 6:28 PM
Task: What is 82 minutes after 8:31 AM?
Key: 9:53 AM
Task: What is 291 minutes after 6:05 AM?
Key: 10:56 AM
Task: How many minutes are there between 1:15 PM and 10:47 PM?
Key: 572
Task: What is 217 minutes before 3:42 AM?
Key: 12:05 AM
Task: What is 62 minutes before 9:46 AM?
Key: 8:44 AM
Task: What is 428 minutes after 12:46 AM?
Key: 7:54 AM
Task: What is 677 minutes before 8:06 PM?
Key: 8:49 AM
Task: What is 264 minutes before 5:12 PM?
Key: 12:48 PM
Task: What is 92 minutes after 1
|
english
|
measurement: time
-----------------
Issue: What is 10 minutes before 9:32 AM?
Compute: 9:22 AM
Issue: How many minutes are there between 2:30 PM and 7:39 PM?
Compute: 309
Issue: How many minutes are there between 10:44 AM and 6:07 PM?
Compute: 443
Issue: How many minutes are there between 4:28 PM and 12:21 AM?
Compute: 473
Issue: What is 676 minutes after 6:50 PM?
Compute: 6:06 AM
Issue: How many minutes are there between 6:50 AM and 7:28 AM?
Compute: 38
Issue: How many minutes are there between 2:01 AM and 7:46 AM?
Compute: 345
Issue: What is 444 minutes after 11:54 PM?
Compute: 7:18 AM
Issue: How many minutes are there between 1:30 PM and 2:23 PM?
Compute: 53
Issue: What is 689 minutes after 9:31 AM?
Compute: 9:00 PM
Issue: What is 444 minutes after 2:19 PM?
Compute: 9:43 PM
Issue: What is 558 minutes after 6:33 AM?
Compute: 3:51 PM
Issue: How many minutes are there between 1:28 AM and 10:58 AM?
Compute: 570
Issue: How many minutes are there between 3:57 PM and 9:17 PM?
Compute: 320
Issue: How many minutes are there between 2:59 AM and 8:59 AM?
Compute: 360
Issue: What is 589 minutes after 5:54 AM?
Compute: 3:43 PM
Issue: How many minutes are there between 4:47 AM and 10:09 AM?
Compute: 322
Issue: What is 223 minutes after 9:28 PM?
Compute: 1:11 AM
Issue: How many minutes are there between 11:31 AM and 1:15 PM?
Compute: 104
Issue: What is 503 minutes before 12:56 AM?
Compute: 4:33 PM
Issue: What is 570 minutes after 6:24 PM?
Compute: 3:54 AM
Issue: What is 667 minutes before 11:37 PM?
Compute: 12:30 PM
Issue: How many minutes are there between 2:48 PM and 10:58 PM?
Compute: 490
Issue: How many minutes are there between 11:50 PM and 10:26 AM?
Compute: 636
Issue: How many minutes are there between 9:50 AM and 9:39 PM?
Compute: 709
Issue: How many minutes are there between 5:26 PM and 1:12 AM?
Compute: 466
Issue: How many minutes are there between 1:19 AM and 12:14 PM?
Compute: 655
Issue: How many minutes are there between 11:57 AM and 11:45 PM?
Compute: 708
Issue: W
|
english
|
arithmetic: nearest integer root
--------------------------------
Math Q: What is the third root of 18806115 to the nearest integer?
Derivation: 266
Math Q: What is 2306857032 to the power of 1/3, to the nearest integer?
Derivation: 1321
Math Q: What is the eighth root of 3333 to the nearest integer?
Derivation: 3
Math Q: What is the cube root of 2242 to the nearest integer?
Derivation: 13
Math Q: What is 101869588 to the power of 1/2, to the nearest integer?
Derivation: 10093
Math Q: What is 6045640 to the power of 1/3, to the nearest integer?
Derivation: 182
Math Q: What is 2987548577 to the power of 1/2, to the nearest integer?
Derivation: 54658
Math Q: What is 5715331308 to the power of 1/10, to the nearest integer?
Derivation: 9
Math Q: What is the third root of 11613049 to the nearest integer?
Derivation: 226
Math Q: What is the fifth root of 16247245 to the nearest integer?
Derivation: 28
Math Q: What is 2454729615 to the power of 1/4, to the nearest integer?
Derivation: 223
Math Q: What is the square root of 3869564642 to the nearest integer?
Derivation: 62206
Math Q: What is the tenth root of 37530 to the nearest integer?
Derivation: 3
Math Q: What is the square root of 12989898 to the nearest integer?
Derivation: 3604
Math Q: What is the ninth root of 329374 to the nearest integer?
Derivation: 4
Math Q: What is the third root of 26141960 to the nearest integer?
Derivation: 297
Math Q: What is the fourth root of 580 to the nearest integer?
Derivation: 5
Math Q: What is 917 to the power of 1/5, to the nearest integer?
Derivation: 4
Math Q: What is 32783366 to the power of 1/10, to the nearest integer?
Derivation: 6
Math Q: What is the square root of 2112084529 to the nearest integer?
Derivation: 45957
Math Q: What is the cube root of 388786 to the nearest integer?
Derivation: 73
Math Q: What is 1474924 to the power of 1/3, to the nearest integer?
Derivation: 114
Math Q: What is the third root of 176741 to the nearest integer?
Derivation: 56
Math Q: What is t
|
english
|
measurement: time
-----------------
Part A: How many minutes are there between 1:40 AM and 8:52 AM?
Finding: 432
Part A: How many minutes are there between 5:59 AM and 3:45 PM?
Finding: 586
Part A: What is 528 minutes after 8:42 PM?
Finding: 5:30 AM
Part A: What is 589 minutes after 7:21 AM?
Finding: 5:10 PM
Part A: What is 39 minutes after 4:51 PM?
Finding: 5:30 PM
Part A: How many minutes are there between 4:28 AM and 12:11 PM?
Finding: 463
Part A: What is 52 minutes before 2:57 AM?
Finding: 2:05 AM
Part A: What is 405 minutes after 7:03 PM?
Finding: 1:48 AM
Part A: What is 41 minutes before 3:22 PM?
Finding: 2:41 PM
Part A: What is 111 minutes before 3:29 AM?
Finding: 1:38 AM
Part A: How many minutes are there between 7:24 AM and 6:51 PM?
Finding: 687
Part A: How many minutes are there between 9:13 AM and 8:45 PM?
Finding: 692
Part A: What is 468 minutes after 12:47 PM?
Finding: 8:35 PM
Part A: How many minutes are there between 8:41 PM and 5:50 AM?
Finding: 549
Part A: What is 641 minutes after 5:25 AM?
Finding: 4:06 PM
Part A: What is 410 minutes before 6:00 PM?
Finding: 11:10 AM
Part A: How many minutes are there between 6:27 AM and 6:36 AM?
Finding: 9
Part A: How many minutes are there between 1:42 AM and 3:43 AM?
Finding: 121
Part A: How many minutes are there between 4:44 AM and 9:53 AM?
Finding: 309
Part A: How many minutes are there between 9:26 PM and 8:07 AM?
Finding: 641
Part A: What is 56 minutes after 10:37 AM?
Finding: 11:33 AM
Part A: How many minutes are there between 5:35 AM and 9:32 AM?
Finding: 237
Part A: How many minutes are there between 8:20 PM and 8:05 AM?
Finding: 705
Part A: How many minutes are there between 12:09 AM and 5:05 AM?
Finding: 296
Part A: What is 398 minutes after 5:43 PM?
Finding: 12:21 AM
Part A: How many minutes are there between 7:03 AM and 9:24 AM?
Finding: 141
Part A: How many minutes are there between 2:22 PM and 4:28 PM?
Finding: 126
Part A: What is 596 minutes after 6:19 AM?
Finding: 4:15 PM
Part A: How many minutes
|
english
|
arithmetic: nearest integer root
--------------------------------
Q/A: What is 20960575 to the power of 1/7, to the nearest integer?
Hence: 11
Q/A: What is 2836 to the power of 1/2, to the nearest integer?
Hence: 53
Q/A: What is 55561 to the power of 1/3, to the nearest integer?
Hence: 38
Q/A: What is 1959533329 to the power of 1/4, to the nearest integer?
Hence: 210
Q/A: What is the eighth root of 10576431 to the nearest integer?
Hence: 8
Q/A: What is 13159 to the power of 1/10, to the nearest integer?
Hence: 3
Q/A: What is the cube root of 7882553 to the nearest integer?
Hence: 199
Q/A: What is the seventh root of 86031525 to the nearest integer?
Hence: 14
Q/A: What is 941 to the power of 1/2, to the nearest integer?
Hence: 31
Q/A: What is the eighth root of 993 to the nearest integer?
Hence: 2
Q/A: What is the eighth root of 1110 to the nearest integer?
Hence: 2
Q/A: What is the square root of 5866236 to the nearest integer?
Hence: 2422
Q/A: What is 393413 to the power of 1/6, to the nearest integer?
Hence: 9
Q/A: What is the third root of 4187021087 to the nearest integer?
Hence: 1612
Q/A: What is the third root of 1965 to the nearest integer?
Hence: 13
Q/A: What is 5739615 to the power of 1/8, to the nearest integer?
Hence: 7
Q/A: What is the square root of 604027095 to the nearest integer?
Hence: 24577
Q/A: What is 1253898 to the power of 1/4, to the nearest integer?
Hence: 33
Q/A: What is 7895 to the power of 1/7, to the nearest integer?
Hence: 4
Q/A: What is the cube root of 2376 to the nearest integer?
Hence: 13
Q/A: What is 113297068 to the power of 1/10, to the nearest integer?
Hence: 6
Q/A: What is the ninth root of 2573661383 to the nearest integer?
Hence: 11
Q/A: What is 15395 to the power of 1/3, to the nearest integer?
Hence: 25
Q/A: What is 2400830 to the power of 1/2, to the nearest integer?
Hence: 1549
Q/A: What is the square root of 1340773 to the nearest integer?
Hence: 1158
Q/A: What is the third root of 50461 to the nearest integer?
Hence: 37
|
english
|
numbers: gcd
------------
Problem Statement: Calculate the greatest common divisor of 2176 and 1802.
Fix: 34
Problem Statement: Calculate the highest common factor of 35173573 and 309.
Fix: 103
Problem Statement: What is the highest common factor of 7747 and 122?
Fix: 61
Problem Statement: What is the greatest common factor of 1442 and 3637342?
Fix: 206
Problem Statement: What is the greatest common factor of 40 and 30?
Fix: 10
Problem Statement: Calculate the highest common divisor of 3342 and 2048.
Fix: 2
Problem Statement: Calculate the highest common factor of 255150 and 168.
Fix: 42
Problem Statement: Calculate the highest common factor of 75 and 3675.
Fix: 75
Problem Statement: What is the greatest common divisor of 25675 and 39?
Fix: 13
Problem Statement: What is the greatest common factor of 27 and 864?
Fix: 27
Problem Statement: Calculate the greatest common divisor of 305325 and 1770.
Fix: 885
Problem Statement: Calculate the greatest common divisor of 28652 and 42012648.
Fix: 2204
Problem Statement: What is the highest common factor of 23 and 989?
Fix: 23
Problem Statement: Calculate the greatest common factor of 33 and 250261.
Fix: 11
Problem Statement: What is the highest common factor of 26 and 6?
Fix: 2
Problem Statement: Calculate the highest common factor of 48 and 16501712.
Fix: 16
Problem Statement: What is the greatest common factor of 759 and 627?
Fix: 33
Problem Statement: What is the highest common factor of 3290065 and 3930?
Fix: 655
Problem Statement: Calculate the greatest common divisor of 30 and 50.
Fix: 10
Problem Statement: What is the highest common factor of 930 and 4743?
Fix: 93
Problem Statement: What is the highest common factor of 22579 and 1786437?
Fix: 337
Problem Statement: Calculate the greatest common factor of 429226 and 7.
Fix: 7
Problem Statement: What is the greatest common divisor of 27 and 243?
Fix: 27
Problem Statement: Calculate the highest common divisor of 4861060 and 740.
Fix: 740
Problem Statement: What is the gre
|
english
|
numbers: is factor
------------------
Conundrum: Is 191592 a multiple of 24?
Output: True
Conundrum: Does 3942 divide 1007776242?
Output: True
Conundrum: Does 149 divide 60105?
Output: False
Conundrum: Does 911 divide 10757999?
Output: True
Conundrum: Does 411 divide 12828132?
Output: True
Conundrum: Is 314 a factor of 399845?
Output: False
Conundrum: Is 66 a factor of 7755?
Output: False
Conundrum: Is 216396976 a multiple of 4496?
Output: True
Conundrum: Does 627 divide 3081705?
Output: True
Conundrum: Does 4 divide 1116?
Output: True
Conundrum: Is 156 a factor of 5119612?
Output: False
Conundrum: Does 13 divide 7683?
Output: True
Conundrum: Is 19 a factor of 5130?
Output: True
Conundrum: Does 2 divide 88?
Output: True
Conundrum: Does 241 divide 20003?
Output: True
Conundrum: Is 514100492 a multiple of 129?
Output: False
Conundrum: Does 567 divide 90088362?
Output: True
Conundrum: Does 4099 divide 1369045505?
Output: True
Conundrum: Is 4 a factor of 59169717?
Output: False
Conundrum: Does 58 divide 1450?
Output: True
Conundrum: Is 33362 a multiple of 270?
Output: False
Conundrum: Is 20 a factor of 8247?
Output: False
Conundrum: Is 11718 a multiple of 27?
Output: True
Conundrum: Does 55 divide 208784115?
Output: False
Conundrum: Is 98 a factor of 38109064?
Output: True
Conundrum: Does 10 divide 900?
Output: True
Conundrum: Is 1918508 a multiple of 11?
Output: False
Conundrum: Does 2 divide 35191199?
Output: False
Conundrum: Does 10 divide 150280?
Output: True
Conundrum: Is 5 a factor of 88850?
Output: True
Conundrum: Is 13338770 a multiple of 44?
Output: False
Conundrum: Is 3 a factor of 13?
Output: False
Conundrum: Is 102540 a multiple of 30?
Output: True
Conundrum: Does 3 divide 10858718?
Output: False
Conundrum: Does 31 divide 620?
Output: True
Conundrum: Does 1802 divide 224595038?
Output: False
Conundrum: Is 17416787 a multiple of 1767?
Output: False
Conundrum: Does 1057 divide 110613993?
Output: True
Conundrum: Is 11 a factor of 6280804?
Output: False
Conundru
|
english
|
arithmetic: nearest integer root
--------------------------------
Example: What is the third root of 1470 to the nearest integer?
Clarification: 11
Example: What is the square root of 1645 to the nearest integer?
Clarification: 41
Example: What is the tenth root of 7403611000 to the nearest integer?
Clarification: 10
Example: What is the fourth root of 782194108 to the nearest integer?
Clarification: 167
Example: What is 529132 to the power of 1/10, to the nearest integer?
Clarification: 4
Example: What is 265626331 to the power of 1/3, to the nearest integer?
Clarification: 643
Example: What is 20522 to the power of 1/3, to the nearest integer?
Clarification: 27
Example: What is the square root of 61175 to the nearest integer?
Clarification: 247
Example: What is the square root of 9612523 to the nearest integer?
Clarification: 3100
Example: What is 2 to the power of 1/2, to the nearest integer?
Clarification: 1
Example: What is 64295 to the power of 1/3, to the nearest integer?
Clarification: 40
Example: What is the square root of 3022257657 to the nearest integer?
Clarification: 54975
Example: What is the third root of 7034989 to the nearest integer?
Clarification: 192
Example: What is the square root of 3638114 to the nearest integer?
Clarification: 1907
Example: What is the tenth root of 3005 to the nearest integer?
Clarification: 2
Example: What is the eighth root of 530829 to the nearest integer?
Clarification: 5
Example: What is the sixth root of 2827124 to the nearest integer?
Clarification: 12
Example: What is the third root of 28247 to the nearest integer?
Clarification: 30
Example: What is the square root of 3720198 to the nearest integer?
Clarification: 1929
Example: What is the cube root of 12498 to the nearest integer?
Clarification: 23
Example: What is the square root of 843 to the nearest integer?
Clarification: 29
Example: What is the fifth root of 38065709 to the nearest integer?
Clarification: 33
Example: What is 29619 to the power of 1/2, to the
|
english
|
probability: swr p level set
----------------------------
Case: Two letters picked without replacement from ppppaappaappa. Give prob of picking 2 p.
Answer: 14/39
Case: Two letters picked without replacement from {c: 1, n: 2, q: 2}. What is prob of picking 2 q?
Answer: 1/10
Case: What is prob of picking 2 s when two letters picked without replacement from {s: 8, t: 5}?
Answer: 14/39
Case: Four letters picked without replacement from kkdzdkd. What is prob of picking 3 k and 1 d?
Answer: 3/35
Case: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 1, m: 3, o: 1, q: 2}.
Answer: 1/7
Case: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from pivpviipvviizifii.
Answer: 1/136
Case: What is prob of picking 1 z and 1 i when two letters picked without replacement from {j: 2, o: 3, q: 1, v: 3, i: 4, z: 2}?
Answer: 8/105
Case: Four letters picked without replacement from {n: 12, f: 2, s: 1, l: 4}. What is prob of picking 3 l and 1 n?
Answer: 4/323
Case: What is prob of picking 3 a when three letters picked without replacement from aaaaajayyjajy?
Answer: 35/286
Case: What is prob of picking 1 q and 2 r when three letters picked without replacement from {q: 8, s: 7, r: 5}?
Answer: 4/57
Case: What is prob of picking 2 n when two letters picked without replacement from {p: 1, n: 12}?
Answer: 11/13
Case: Three letters picked without replacement from {x: 9, h: 3}. Give prob of picking 3 x.
Answer: 21/55
Case: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {q: 2, y: 1, z: 2, f: 8, n: 1}.
Answer: 4/91
Case: Four letters picked without replacement from eeaeaamemaameoeemmma. What is prob of picking 4 m?
Answer: 1/323
Case: Calculate prob of picking 1 m and 3 s when four letters picked without replacement from {s: 3, e: 1, m: 6, c: 7}.
Answer: 3/1190
Case: Two letters picked without replacement from {z: 2, m: 11, y: 1}. Give prob of picking 2 z.
Answer: 1/91
Case: Two letters
|
english
|
probability: swr p sequence
---------------------------
Ask: Two letters picked without replacement from ktx. Give prob of sequence tx.
Response: 1/6
Ask: Two letters picked without replacement from hzzh. What is prob of sequence zz?
Response: 1/6
Ask: Calculate prob of sequence cm when two letters picked without replacement from {c: 8, a: 2, q: 4, m: 5}.
Response: 20/171
Ask: Four letters picked without replacement from mmneggugeg. What is prob of sequence gmmu?
Response: 1/630
Ask: Two letters picked without replacement from {r: 10, h: 9}. What is prob of sequence hh?
Response: 4/19
Ask: Two letters picked without replacement from odldo. What is prob of sequence oo?
Response: 1/10
Ask: Two letters picked without replacement from {x: 11, b: 2, u: 2}. Give prob of sequence bx.
Response: 11/105
Ask: Two letters picked without replacement from {c: 1, o: 4, s: 1, u: 3, m: 2}. What is prob of sequence mc?
Response: 1/55
Ask: Two letters picked without replacement from {h: 7, i: 12}. What is prob of sequence hh?
Response: 7/57
Ask: Four letters picked without replacement from csscwnnwsuosccsscc. What is prob of sequence cson?
Response: 1/1020
Ask: Three letters picked without replacement from {f: 1, y: 2, b: 1, i: 11, o: 1, x: 3}. What is prob of sequence ioi?
Response: 55/2907
Ask: Calculate prob of sequence wge when three letters picked without replacement from emgulwwguwwumu.
Response: 1/273
Ask: What is prob of sequence lo when two letters picked without replacement from ohxloholoixoiih?
Response: 1/21
Ask: Two letters picked without replacement from wpwsiswprprc. What is prob of sequence ir?
Response: 1/66
Ask: Two letters picked without replacement from bptpbpuvptt. Give prob of sequence bp.
Response: 4/55
Ask: Three letters picked without replacement from ieeeixebbbbbixi. Give prob of sequence ixe.
Response: 16/1365
Ask: Two letters picked without replacement from {j: 3, o: 2, l: 3}. What is prob of sequence jj?
Response: 3/28
Ask: Two letters picked without repla
|
english
|
numbers: gcd
------------
Q: Calculate the highest common divisor of 264 and 69256.
Response: 88
Q: What is the greatest common factor of 128367685 and 645?
Response: 215
Q: What is the greatest common divisor of 44356 and 191389316?
Response: 3412
Q: What is the greatest common factor of 2443929 and 447?
Response: 3
Q: Calculate the greatest common divisor of 795 and 159.
Response: 159
Q: Calculate the highest common factor of 48590736 and 80.
Response: 16
Q: What is the greatest common factor of 1859884 and 7332?
Response: 2444
Q: What is the greatest common factor of 3198 and 218694?
Response: 246
Q: Calculate the greatest common divisor of 10 and 166.
Response: 2
Q: What is the highest common factor of 11 and 572?
Response: 11
Q: Calculate the greatest common divisor of 13283 and 2479.
Response: 37
Q: Calculate the highest common factor of 156 and 4420.
Response: 52
Q: What is the greatest common divisor of 2187 and 81?
Response: 81
Q: Calculate the greatest common factor of 31960 and 82280.
Response: 680
Q: Calculate the highest common divisor of 2479 and 167582879.
Response: 2479
Q: Calculate the greatest common divisor of 9 and 9796716.
Response: 9
Q: Calculate the highest common divisor of 258 and 12.
Response: 6
Q: Calculate the highest common divisor of 1584836 and 451.
Response: 11
Q: Calculate the highest common factor of 34765 and 34.
Response: 17
Q: What is the greatest common divisor of 204259142 and 3642?
Response: 1214
Q: What is the highest common factor of 19 and 1121?
Response: 19
Q: What is the greatest common divisor of 9710668 and 996?
Response: 332
Q: What is the greatest common factor of 40945880 and 3280?
Response: 1640
Q: What is the highest common divisor of 58 and 31317361?
Response: 29
Q: What is the highest common factor of 3507961 and 543?
Response: 181
Q: Calculate the greatest common divisor of 204 and 1173.
Response: 51
Q: Calculate the greatest common factor of 909 and 145.
Response: 1
Q: What is the highest common factor of 53301
|
english
|
numbers: is factor
------------------
Test item: Does 805 divide 538545?
Resolution: True
Test item: Is 20 a factor of 130452980?
Resolution: True
Test item: Does 87 divide 1789416?
Resolution: True
Test item: Is 33 a factor of 21648?
Resolution: True
Test item: Is 1529710 a multiple of 410?
Resolution: True
Test item: Is 11 a factor of 5468?
Resolution: False
Test item: Does 407 divide 840048?
Resolution: True
Test item: Is 12 a factor of 6811?
Resolution: False
Test item: Is 477 a multiple of 9?
Resolution: True
Test item: Is 17983 a multiple of 2?
Resolution: False
Test item: Does 126 divide 121672526?
Resolution: False
Test item: Is 720 a multiple of 40?
Resolution: True
Test item: Is 26081101 a multiple of 137?
Resolution: True
Test item: Does 693 divide 55990935?
Resolution: True
Test item: Is 8 a factor of 7683419?
Resolution: False
Test item: Does 2053 divide 193664708?
Resolution: False
Test item: Does 38 divide 741456?
Resolution: True
Test item: Is 171 a factor of 3294917?
Resolution: False
Test item: Does 1691 divide 11341171?
Resolution: False
Test item: Is 1175 even?
Resolution: False
Test item: Is 10 a factor of 47130?
Resolution: True
Test item: Does 80 divide 61373360?
Resolution: True
Test item: Is 65 a factor of 4810?
Resolution: True
Test item: Is 6950 a multiple of 7?
Resolution: False
Test item: Is 153 a multiple of 17?
Resolution: True
Test item: Is 11303 a multiple of 89?
Resolution: True
Test item: Does 288 divide 731520?
Resolution: True
Test item: Is 628 a multiple of 6?
Resolution: False
Test item: Is 41 a factor of 214348?
Resolution: True
Test item: Does 116 divide 602453888?
Resolution: True
Test item: Does 419 divide 1309436?
Resolution: False
Test item: Does 12 divide 391140?
Resolution: True
Test item: Does 31 divide 84899795?
Resolution: False
Test item: Is 137 a factor of 2891028?
Resolution: False
Test item: Does 6 divide 8596?
Resolution: False
Test item: Is 6614179 a multiple of 299?
Resolution: True
Test item: Is 2212 a multip
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numbers: is factor
------------------
Example: Is 12 a factor of 40870632?
Explanation: True
Example: Is 201716467 a multiple of 1725?
Explanation: False
Example: Does 14 divide 320629?
Explanation: False
Example: Does 22 divide 550?
Explanation: True
Example: Does 120 divide 163838333?
Explanation: False
Example: Does 4 divide 34440?
Explanation: True
Example: Is 27932686 a multiple of 13?
Explanation: False
Example: Is 107 a factor of 2169080?
Explanation: False
Example: Does 32 divide 879634656?
Explanation: True
Example: Is 60 a factor of 3540?
Explanation: True
Example: Is 94696 a multiple of 5?
Explanation: False
Example: Is 1682375520 a multiple of 15?
Explanation: True
Example: Is 1381 a factor of 69094560?
Explanation: False
Example: Is 6417798 a multiple of 37?
Explanation: True
Example: Does 161 divide 51873558?
Explanation: False
Example: Does 3 divide 193?
Explanation: False
Example: Is 856045 a multiple of 55?
Explanation: False
Example: Does 1479 divide 2682561?
Explanation: False
Example: Does 113 divide 2040565300?
Explanation: True
Example: Does 18 divide 1858115016?
Explanation: True
Example: Is 728 a factor of 112730072?
Explanation: True
Example: Is 19067 a multiple of 54?
Explanation: False
Example: Is 319 a multiple of 40?
Explanation: False
Example: Is 435472731 a multiple of 1173?
Explanation: True
Example: Is 1122 a multiple of 34?
Explanation: True
Example: Is 46 a factor of 6021463?
Explanation: False
Example: Does 53 divide 144640?
Explanation: False
Example: Is 747 a factor of 1308744?
Explanation: True
Example: Does 211 divide 877549?
Explanation: True
Example: Is 108265 a multiple of 146?
Explanation: False
Example: Is 1436653 a multiple of 1088?
Explanation: False
Example: Is 31 a factor of 12084885?
Explanation: True
Example: Is 34648023 a multiple of 3?
Explanation: True
Example: Does 78 divide 1212890?
Explanation: False
Example: Is 40326630 a multiple of 12?
Explanation: False
Example: Does 357 divide 259533645?
Explanation: True
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probability: swr p sequence
---------------------------
Q): Two letters picked without replacement from {a: 1, e: 2, r: 1}. What is prob of sequence ar?
Fix: 1/12
Q): Two letters picked without replacement from ccccccxxccxxcxckxc. Give prob of sequence cc.
Fix: 55/153
Q): Two letters picked without replacement from drrrrrrdrrrrr. Give prob of sequence dr.
Fix: 11/78
Q): Two letters picked without replacement from {g: 4, n: 1, j: 4, c: 2}. What is prob of sequence gc?
Fix: 4/55
Q): Calculate prob of sequence lu when two letters picked without replacement from nlakbnnnububulbabnul.
Fix: 3/95
Q): Four letters picked without replacement from qzxqotxolqxlzz. Give prob of sequence qoxx.
Fix: 3/2002
Q): Four letters picked without replacement from ccodaolagoooooddd. What is prob of sequence ldog?
Fix: 1/2040
Q): Two letters picked without replacement from yybby. Give prob of sequence yy.
Fix: 3/10
Q): Calculate prob of sequence ggu when three letters picked without replacement from uuggugugugguuuguguug.
Fix: 11/95
Q): Four letters picked without replacement from mfmcvuovf. What is prob of sequence umvv?
Fix: 1/756
Q): Calculate prob of sequence oupi when four letters picked without replacement from ijojjjojoujijjjup.
Fix: 1/4760
Q): Four letters picked without replacement from psggppypp. Give prob of sequence ppgy.
Fix: 5/378
Q): Calculate prob of sequence ieei when four letters picked without replacement from ssqiesesoooofeq.
Fix: 0
Q): What is prob of sequence kkk when three letters picked without replacement from kkkkkkk?
Fix: 1
Q): Three letters picked without replacement from {b: 15, p: 3}. What is prob of sequence pbb?
Fix: 35/272
Q): Three letters picked without replacement from ypvipy. Give prob of sequence piy.
Fix: 1/30
Q): Calculate prob of sequence sqk when three letters picked without replacement from efkqsos.
Fix: 1/105
Q): What is prob of sequence tt when two letters picked without replacement from ttt?
Fix: 1
Q): What is prob of sequence ff when two letters
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measurement: conversion
-----------------------
Problem #: How many decades are there in 13/5 of a century?
Calculation: 26
Problem #: How many millimeters are there in one sixteenth of a kilometer?
Calculation: 62500
Problem #: Convert 2.442902ug to nanograms.
Calculation: 2442.902
Problem #: How many millilitres are there in 6/25 of a litre?
Calculation: 240
Problem #: What is 34/5 of a century in years?
Calculation: 680
Problem #: How many months are there in eight thirds of a century?
Calculation: 3200
Problem #: What is 1093.054 millimeters in kilometers?
Calculation: 0.001093054
Problem #: How many centimeters are there in 11/2 of a meter?
Calculation: 550
Problem #: What is 68.14024 weeks in seconds?
Calculation: 41211217.152
Problem #: How many millilitres are there in eighteen fifths of a litre?
Calculation: 3600
Problem #: How many years are there in 280.55079 months?
Calculation: 23.3792325
Problem #: Convert 79.9952 kilograms to milligrams.
Calculation: 79995200
Problem #: What is 0.9288429um in meters?
Calculation: 0.0000009288429
Problem #: How many seconds are there in twenty-three thirds of a minute?
Calculation: 460
Problem #: What is 0.3339834mm in centimeters?
Calculation: 0.03339834
Problem #: How many millilitres are there in 13/8 of a litre?
Calculation: 1625
Problem #: How many nanograms are there in 8426.537 milligrams?
Calculation: 8426537000
Problem #: How many months are there in 873659.1 centuries?
Calculation: 1048390920
Problem #: Convert 60.72159 hours to microseconds.
Calculation: 218597724000
Problem #: How many litres are there in 881.913ml?
Calculation: 0.881913
Problem #: What is fourty-four fifths of a centimeter in millimeters?
Calculation: 88
Problem #: What is seven quarters of a millennium in decades?
Calculation: 175
Problem #: What is 67.14537 millimeters in meters?
Calculation: 0.06714537
Problem #: What is 199117.8t in nanograms?
Calculation: 199117800000000000000
Problem #: What is 3/8 of a meter in millimeters?
Calculat
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arithmetic: nearest integer root
--------------------------------
Example: What is the square root of 1579498 to the nearest integer?
Conclusion: 1257
Example: What is the third root of 8669 to the nearest integer?
Conclusion: 21
Example: What is the third root of 39203932 to the nearest integer?
Conclusion: 340
Example: What is 1142354202 to the power of 1/2, to the nearest integer?
Conclusion: 33799
Example: What is the third root of 581864538 to the nearest integer?
Conclusion: 835
Example: What is 101745 to the power of 1/5, to the nearest integer?
Conclusion: 10
Example: What is 54906 to the power of 1/3, to the nearest integer?
Conclusion: 38
Example: What is the third root of 1705308 to the nearest integer?
Conclusion: 119
Example: What is 6944857 to the power of 1/3, to the nearest integer?
Conclusion: 191
Example: What is the third root of 80443 to the nearest integer?
Conclusion: 43
Example: What is the fourth root of 536943168 to the nearest integer?
Conclusion: 152
Example: What is the cube root of 25147220 to the nearest integer?
Conclusion: 293
Example: What is 1040274143 to the power of 1/3, to the nearest integer?
Conclusion: 1013
Example: What is the square root of 2809394 to the nearest integer?
Conclusion: 1676
Example: What is the fourth root of 617012415 to the nearest integer?
Conclusion: 158
Example: What is the square root of 2743919067 to the nearest integer?
Conclusion: 52382
Example: What is 48767948 to the power of 1/10, to the nearest integer?
Conclusion: 6
Example: What is the square root of 1907 to the nearest integer?
Conclusion: 44
Example: What is the fourth root of 471 to the nearest integer?
Conclusion: 5
Example: What is the third root of 508034 to the nearest integer?
Conclusion: 80
Example: What is the sixth root of 5405 to the nearest integer?
Conclusion: 4
Example: What is the fourth root of 4209 to the nearest integer?
Conclusion: 8
Example: What is the eighth root of 68722 to the nearest integer?
Conclusion: 4
Example: What
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numbers: place value
--------------------
Puzzle: What is the thousands digit of 44281573?
Soln: 1
Puzzle: What is the hundreds digit of 170714?
Soln: 7
Puzzle: What is the units digit of 132054?
Soln: 4
Puzzle: What is the ten thousands digit of 12683352?
Soln: 8
Puzzle: What is the thousands digit of 542769436?
Soln: 9
Puzzle: What is the hundred millions digit of 1974196942?
Soln: 9
Puzzle: What is the thousands digit of 49629?
Soln: 9
Puzzle: What is the units digit of 1027?
Soln: 7
Puzzle: What is the millions digit of 16641708?
Soln: 6
Puzzle: What is the hundreds digit of 6917?
Soln: 9
Puzzle: What is the ten thousands digit of 4467635?
Soln: 6
Puzzle: What is the ten thousands digit of 2671717275?
Soln: 1
Puzzle: What is the tens digit of 1253?
Soln: 5
Puzzle: What is the millions digit of 1757068?
Soln: 1
Puzzle: What is the hundreds digit of 563647?
Soln: 6
Puzzle: What is the hundreds digit of 73344?
Soln: 3
Puzzle: What is the tens digit of 1328?
Soln: 2
Puzzle: What is the millions digit of 4724040?
Soln: 4
Puzzle: What is the hundred thousands digit of 3948881?
Soln: 9
Puzzle: What is the hundred thousands digit of 380888?
Soln: 3
Puzzle: What is the hundreds digit of 294552?
Soln: 5
Puzzle: What is the units digit of 325291?
Soln: 1
Puzzle: What is the hundreds digit of 2664?
Soln: 6
Puzzle: What is the millions digit of 536260093?
Soln: 6
Puzzle: What is the units digit of 4146?
Soln: 6
Puzzle: What is the hundred thousands digit of 30578942?
Soln: 5
Puzzle: What is the tens digit of 864?
Soln: 6
Puzzle: What is the units digit of 3291773739?
Soln: 9
Puzzle: What is the tens digit of 21736367?
Soln: 6
Puzzle: What is the millions digit of 65954337?
Soln: 5
Puzzle: What is the thousands digit of 1654385?
Soln: 4
Puzzle: What is the units digit of 19668?
Soln: 8
Puzzle: What is the units digit of 687726885?
Soln: 5
Puzzle: What is the units digit of 250?
Soln: 0
Puzzle: What is the tens digit of 197811?
Soln: 1
Puzzle: What is the units digit of 167606
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numbers: is prime
-----------------
Situation: Is 86627 a prime number?
Answer: True
Situation: Is 38408359 a prime number?
Answer: False
Situation: Is 10589 a composite number?
Answer: False
Situation: Is 5275860263 prime?
Answer: False
Situation: Is 2969704817 a composite number?
Answer: False
Situation: Is 8141610571 composite?
Answer: False
Situation: Is 3194720549 a prime number?
Answer: True
Situation: Is 196954169 a prime number?
Answer: False
Situation: Is 34606379 prime?
Answer: True
Situation: Is 21742793 a composite number?
Answer: False
Situation: Is 15871926169 a composite number?
Answer: True
Situation: Is 3685631 composite?
Answer: False
Situation: Is 81281 prime?
Answer: True
Situation: Is 235307239 prime?
Answer: False
Situation: Is 739 composite?
Answer: False
Situation: Is 37487456813 prime?
Answer: True
Situation: Is 25242149 composite?
Answer: True
Situation: Is 11059073 a composite number?
Answer: False
Situation: Is 28839 a prime number?
Answer: False
Situation: Is 4566604879 a composite number?
Answer: True
Situation: Is 677337665 composite?
Answer: True
Situation: Is 89005971 prime?
Answer: False
Situation: Is 325483 a composite number?
Answer: True
Situation: Is 28110301 a prime number?
Answer: False
Situation: Is 3491 a prime number?
Answer: True
Situation: Is 180571 a prime number?
Answer: False
Situation: Is 11982097 a composite number?
Answer: True
Situation: Is 43526993 a composite number?
Answer: False
Situation: Is 25979432099 a composite number?
Answer: True
Situation: Is 6987637 prime?
Answer: False
Situation: Is 2171811683 composite?
Answer: True
Situation: Is 16451377843 prime?
Answer: True
Situation: Is 192885601 prime?
Answer: True
Situation: Is 2864051159 prime?
Answer: True
Situation: Is 132589 composite?
Answer: False
Situation: Is 7963 a composite number?
Answer: False
Situation: Is 259801 prime?
Answer: True
Situation: Is 8759033 composite?
Answer: False
Situation: Is 22291 a composite number?
Answer: False
Situation: Is 2
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numbers: is prime
-----------------
Ask: Is 15996703 prime?
Yields: True
Ask: Is 190181 a composite number?
Yields: False
Ask: Is 3333337429 composite?
Yields: False
Ask: Is 56517 a prime number?
Yields: False
Ask: Is 790147 prime?
Yields: False
Ask: Is 130847500513 prime?
Yields: False
Ask: Is 40997 a prime number?
Yields: False
Ask: Is 35046337371 composite?
Yields: True
Ask: Is 50639 composite?
Yields: True
Ask: Is 48629 a composite number?
Yields: True
Ask: Is 9031 prime?
Yields: False
Ask: Is 4237 a prime number?
Yields: False
Ask: Is 197747 composite?
Yields: True
Ask: Is 11099 a prime number?
Yields: False
Ask: Is 361285126 a composite number?
Yields: True
Ask: Is 196009237 composite?
Yields: True
Ask: Is 4098839 prime?
Yields: True
Ask: Is 437072011 composite?
Yields: True
Ask: Is 13919221 a prime number?
Yields: False
Ask: Is 2871937 composite?
Yields: False
Ask: Is 79915852199 a composite number?
Yields: False
Ask: Is 443363 a prime number?
Yields: True
Ask: Is 438701 a composite number?
Yields: False
Ask: Is 394357 prime?
Yields: True
Ask: Is 72890693 prime?
Yields: False
Ask: Is 6183135577 a prime number?
Yields: True
Ask: Is 1733 prime?
Yields: True
Ask: Is 486022891 prime?
Yields: False
Ask: Is 870223 composite?
Yields: False
Ask: Is 3449101 composite?
Yields: True
Ask: Is 40449881 a composite number?
Yields: True
Ask: Is 4391 a prime number?
Yields: True
Ask: Is 2336922617 composite?
Yields: True
Ask: Is 9560309 prime?
Yields: False
Ask: Is 4303 a composite number?
Yields: True
Ask: Is 17109482399 composite?
Yields: False
Ask: Is 384691 a composite number?
Yields: False
Ask: Is 1178942 composite?
Yields: True
Ask: Is 389 composite?
Yields: False
Ask: Is 926791982 prime?
Yields: False
Ask: Is 150970805 prime?
Yields: False
Ask: Is 1966123 prime?
Yields: True
Ask: Is 34544519 composite?
Yields: False
Ask: Is 19929128969 prime?
Yields: True
Ask: Is 536629 composite?
Yields: True
Ask: Is 8965009 composite?
Yields: True
Ask: Is 1054015 composite?
Yields: T
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numbers: div remainder
----------------------
Math Q: Calculate the remainder when 133462 is divided by 133435.
Reply: 27
Math Q: What is the remainder when 57474 is divided by 95?
Reply: 94
Math Q: What is the remainder when 7149 is divided by 14?
Reply: 9
Math Q: What is the remainder when 313 is divided by 79?
Reply: 76
Math Q: What is the remainder when 467 is divided by 24?
Reply: 11
Math Q: What is the remainder when 381842 is divided by 81?
Reply: 8
Math Q: Calculate the remainder when 13 is divided by 1.
Reply: 0
Math Q: Calculate the remainder when 619 is divided by 42.
Reply: 31
Math Q: What is the remainder when 684 is divided by 320?
Reply: 44
Math Q: What is the remainder when 74843 is divided by 11986?
Reply: 2927
Math Q: Calculate the remainder when 27491203 is divided by 15620.
Reply: 3
Math Q: Calculate the remainder when 1511570 is divided by 68.
Reply: 66
Math Q: Calculate the remainder when 2219 is divided by 253.
Reply: 195
Math Q: Calculate the remainder when 271778 is divided by 6968.
Reply: 26
Math Q: Calculate the remainder when 320 is divided by 2.
Reply: 0
Math Q: Calculate the remainder when 492 is divided by 9.
Reply: 6
Math Q: What is the remainder when 110 is divided by 66?
Reply: 44
Math Q: Calculate the remainder when 158884333 is divided by 28.
Reply: 13
Math Q: What is the remainder when 1256154 is divided by 314023?
Reply: 62
Math Q: Calculate the remainder when 229623245 is divided by 420.
Reply: 5
Math Q: Calculate the remainder when 4690604 is divided by 18.
Reply: 2
Math Q: What is the remainder when 1298 is divided by 129?
Reply: 8
Math Q: Calculate the remainder when 110192 is divided by 19.
Reply: 11
Math Q: What is the remainder when 2727999 is divided by 29652?
Reply: 15
Math Q: Calculate the remainder when 337 is divided by 57.
Reply: 52
Math Q: Calculate the remainder when 93 is divided by 50.
Reply: 43
Math Q: Calculate the remainder when 702326 is divided by 8563.
Reply: 160
Math Q: Calculate the remainder when 1786 i
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arithmetic: nearest integer root
--------------------------------
Subject: What is the third root of 14117612 to the nearest integer?
Answer: 242
Subject: What is 4576139 to the power of 1/2, to the nearest integer?
Answer: 2139
Subject: What is the square root of 8889 to the nearest integer?
Answer: 94
Subject: What is the seventh root of 2174116 to the nearest integer?
Answer: 8
Subject: What is 383102 to the power of 1/2, to the nearest integer?
Answer: 619
Subject: What is the square root of 34972640 to the nearest integer?
Answer: 5914
Subject: What is the square root of 11075187 to the nearest integer?
Answer: 3328
Subject: What is 97716552 to the power of 1/4, to the nearest integer?
Answer: 99
Subject: What is 308619 to the power of 1/3, to the nearest integer?
Answer: 68
Subject: What is 7487554 to the power of 1/2, to the nearest integer?
Answer: 2736
Subject: What is 14703 to the power of 1/3, to the nearest integer?
Answer: 24
Subject: What is 405926409 to the power of 1/2, to the nearest integer?
Answer: 20148
Subject: What is the fifth root of 7344 to the nearest integer?
Answer: 6
Subject: What is 224590006 to the power of 1/4, to the nearest integer?
Answer: 122
Subject: What is 2322327 to the power of 1/6, to the nearest integer?
Answer: 12
Subject: What is the third root of 20050501 to the nearest integer?
Answer: 272
Subject: What is 967 to the power of 1/3, to the nearest integer?
Answer: 10
Subject: What is the sixth root of 796 to the nearest integer?
Answer: 3
Subject: What is the third root of 1387638 to the nearest integer?
Answer: 112
Subject: What is the third root of 1952754 to the nearest integer?
Answer: 125
Subject: What is the square root of 766236135 to the nearest integer?
Answer: 27681
Subject: What is the cube root of 588 to the nearest integer?
Answer: 8
Subject: What is 1130 to the power of 1/4, to the nearest integer?
Answer: 6
Subject: What is the cube root of 260728 to the nearest integer?
Answer: 64
Subject: What is the thir
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numbers: is prime
-----------------
Let us solve: Is 240632299 prime?
Soln: True
Let us solve: Is 3593341 prime?
Soln: False
Let us solve: Is 35659066433 composite?
Soln: False
Let us solve: Is 5269984147 a prime number?
Soln: True
Let us solve: Is 162894077 a prime number?
Soln: True
Let us solve: Is 1127317 prime?
Soln: False
Let us solve: Is 435709 a prime number?
Soln: True
Let us solve: Is 3922730491 a composite number?
Soln: True
Let us solve: Is 7982201 a composite number?
Soln: False
Let us solve: Is 139899493 a prime number?
Soln: True
Let us solve: Is 204805 a prime number?
Soln: False
Let us solve: Is 14395 a composite number?
Soln: True
Let us solve: Is 12689 a composite number?
Soln: False
Let us solve: Is 78158 prime?
Soln: False
Let us solve: Is 1182163 a composite number?
Soln: True
Let us solve: Is 22716910213 a composite number?
Soln: False
Let us solve: Is 158551 a composite number?
Soln: False
Let us solve: Is 461471 a prime number?
Soln: False
Let us solve: Is 363253 a composite number?
Soln: True
Let us solve: Is 15654066955 prime?
Soln: False
Let us solve: Is 389627 prime?
Soln: False
Let us solve: Is 4090261583 a composite number?
Soln: True
Let us solve: Is 804689 prime?
Soln: True
Let us solve: Is 1198845629 prime?
Soln: False
Let us solve: Is 381226 composite?
Soln: True
Let us solve: Is 313817141 composite?
Soln: True
Let us solve: Is 33287 a prime number?
Soln: True
Let us solve: Is 22908859 composite?
Soln: True
Let us solve: Is 440432081 a prime number?
Soln: True
Let us solve: Is 962686 prime?
Soln: False
Let us solve: Is 141187 a prime number?
Soln: False
Let us solve: Is 127516202423 a composite number?
Soln: False
Let us solve: Is 279311 a composite number?
Soln: False
Let us solve: Is 41729 a composite number?
Soln: False
Let us solve: Is 1838167 prime?
Soln: True
Let us solve: Is 13067170217 composite?
Soln: False
Let us solve: Is 2909047 prime?
Soln: True
Let us solve: Is 237015643 a composite number?
Soln: False
Let us solve: I
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numbers: gcd
------------
Exercise: Calculate the greatest common divisor of 156 and 2052.
Finding: 12
Exercise: What is the highest common factor of 20 and 10?
Finding: 10
Exercise: What is the highest common factor of 23553 and 144?
Finding: 9
Exercise: What is the highest common divisor of 8 and 312?
Finding: 8
Exercise: What is the highest common factor of 13938 and 414?
Finding: 138
Exercise: What is the greatest common factor of 1812 and 12?
Finding: 12
Exercise: What is the highest common divisor of 2070 and 990?
Finding: 90
Exercise: Calculate the greatest common divisor of 36 and 3394988.
Finding: 4
Exercise: Calculate the greatest common factor of 236633 and 347822.
Finding: 2851
Exercise: What is the greatest common factor of 9760 and 32?
Finding: 32
Exercise: What is the greatest common divisor of 47288 and 15677?
Finding: 257
Exercise: What is the greatest common divisor of 38367 and 38220?
Finding: 147
Exercise: Calculate the greatest common divisor of 130584 and 59851.
Finding: 5441
Exercise: What is the greatest common divisor of 11556 and 15876?
Finding: 108
Exercise: What is the highest common divisor of 1419 and 83751272?
Finding: 473
Exercise: Calculate the highest common factor of 46752 and 7.
Finding: 1
Exercise: Calculate the greatest common factor of 68 and 17.
Finding: 17
Exercise: Calculate the greatest common divisor of 2227 and 3799.
Finding: 131
Exercise: What is the highest common factor of 98 and 7693?
Finding: 49
Exercise: What is the greatest common divisor of 2915 and 10865?
Finding: 265
Exercise: What is the highest common divisor of 820 and 1260?
Finding: 20
Exercise: What is the greatest common factor of 20676 and 40?
Finding: 4
Exercise: What is the highest common factor of 209 and 87347271?
Finding: 11
Exercise: Calculate the highest common factor of 272 and 16.
Finding: 16
Exercise: Calculate the greatest common factor of 308 and 1320.
Finding: 44
Exercise: Calculate the greatest common divisor of 17212245 and 68.
Finding: 17
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probability: swr p sequence
---------------------------
Problem Statement: Three letters picked without replacement from {b: 1, i: 3, c: 1, a: 6, e: 3, h: 1}. What is prob of sequence bii?
Interpretation: 1/455
Problem Statement: Calculate prob of sequence xxx when three letters picked without replacement from xxlxeeexxxxxxxl.
Interpretation: 24/91
Problem Statement: Three letters picked without replacement from kfbfbfffzboofkzff. Give prob of sequence fzb.
Interpretation: 1/85
Problem Statement: Four letters picked without replacement from {q: 7, s: 2, h: 3, u: 5, p: 3}. What is prob of sequence usps?
Interpretation: 1/3876
Problem Statement: Calculate prob of sequence asaa when four letters picked without replacement from aaaaaaaasaaaaaaaaaaa.
Interpretation: 1/20
Problem Statement: Calculate prob of sequence yrgr when four letters picked without replacement from ggrybyyrbyyg.
Interpretation: 1/396
Problem Statement: Four letters picked without replacement from {x: 6, e: 1, i: 3, q: 5, t: 1, r: 1}. What is prob of sequence rqet?
Interpretation: 1/11424
Problem Statement: Three letters picked without replacement from {i: 1, k: 5, x: 6, y: 6}. Give prob of sequence xyy.
Interpretation: 5/136
Problem Statement: What is prob of sequence zo when two letters picked without replacement from ggzghggzdohzgzz?
Interpretation: 1/42
Problem Statement: What is prob of sequence oaom when four letters picked without replacement from aaommmaao?
Interpretation: 1/126
Problem Statement: What is prob of sequence assh when four letters picked without replacement from {h: 1, s: 4, a: 1, x: 9}?
Interpretation: 1/2730
Problem Statement: What is prob of sequence ysnv when four letters picked without replacement from {s: 1, v: 1, y: 1, u: 3, n: 1}?
Interpretation: 1/840
Problem Statement: Calculate prob of sequence ah when two letters picked without replacement from haypcaypcypapaya.
Interpretation: 1/48
Problem Statement: What is prob of sequence nnnn when four letters picked without rep
|
english
|
arithmetic: nearest integer root
--------------------------------
Prompt: What is the square root of 9014758 to the nearest integer?
Explanation: 3002
Prompt: What is the square root of 22483 to the nearest integer?
Explanation: 150
Prompt: What is the square root of 153992 to the nearest integer?
Explanation: 392
Prompt: What is 8117 to the power of 1/9, to the nearest integer?
Explanation: 3
Prompt: What is the third root of 2371473369 to the nearest integer?
Explanation: 1334
Prompt: What is 49011248 to the power of 1/6, to the nearest integer?
Explanation: 19
Prompt: What is 97499 to the power of 1/9, to the nearest integer?
Explanation: 4
Prompt: What is 698232 to the power of 1/2, to the nearest integer?
Explanation: 836
Prompt: What is the cube root of 679899594 to the nearest integer?
Explanation: 879
Prompt: What is the cube root of 2528424 to the nearest integer?
Explanation: 136
Prompt: What is 19277 to the power of 1/2, to the nearest integer?
Explanation: 139
Prompt: What is 775113 to the power of 1/3, to the nearest integer?
Explanation: 92
Prompt: What is 173009942 to the power of 1/5, to the nearest integer?
Explanation: 44
Prompt: What is 32677 to the power of 1/3, to the nearest integer?
Explanation: 32
Prompt: What is the square root of 4716098 to the nearest integer?
Explanation: 2172
Prompt: What is 5154 to the power of 1/2, to the nearest integer?
Explanation: 72
Prompt: What is the square root of 1027805676 to the nearest integer?
Explanation: 32059
Prompt: What is the square root of 5861962789 to the nearest integer?
Explanation: 76563
Prompt: What is 345057807 to the power of 1/9, to the nearest integer?
Explanation: 9
Prompt: What is 2289728799 to the power of 1/2, to the nearest integer?
Explanation: 47851
Prompt: What is the fifth root of 2607030 to the nearest integer?
Explanation: 19
Prompt: What is 4931927289 to the power of 1/3, to the nearest integer?
Explanation: 1702
Prompt: What is the eighth root of 193315572 to the nearest integ
|
english
|
probability: swr p level set
----------------------------
Ask: Calculate prob of picking 2 e when two letters picked without replacement from esse.
Math A: 1/6
Ask: Four letters picked without replacement from nnbbn. What is prob of picking 2 b and 2 n?
Math A: 3/5
Ask: Calculate prob of picking 1 n and 2 y when three letters picked without replacement from ccnsssysssssycssssys.
Math A: 1/380
Ask: Four letters picked without replacement from tmxtxmmmm. What is prob of picking 2 t and 2 m?
Math A: 5/63
Ask: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from kytkkktuteektee.
Math A: 6/455
Ask: What is prob of picking 3 r when three letters picked without replacement from {r: 11, i: 1, e: 2, l: 1, u: 1}?
Math A: 33/112
Ask: What is prob of picking 1 u and 3 d when four letters picked without replacement from {d: 14, u: 4}?
Math A: 364/765
Ask: Two letters picked without replacement from {a: 1, x: 2, l: 1, p: 2, f: 2, h: 1}. What is prob of picking 1 a and 1 p?
Math A: 1/18
Ask: Three letters picked without replacement from jmzpazjm. Give prob of picking 1 a, 1 p, and 1 z.
Math A: 1/28
Ask: Two letters picked without replacement from {t: 2, m: 1, n: 2}. What is prob of picking 2 n?
Math A: 1/10
Ask: Two letters picked without replacement from iiitiititiitxtiiii. Give prob of picking 1 x and 1 i.
Math A: 4/51
Ask: Calculate prob of picking 3 k and 1 d when four letters picked without replacement from dppdaknkkkdkdkppnkk.
Math A: 56/969
Ask: Two letters picked without replacement from dddddddddd. Give prob of picking 2 d.
Math A: 1
Ask: Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {j: 6, q: 2, n: 2, h: 1, p: 6}.
Math A: 3/476
Ask: What is prob of picking 1 z and 1 n when two letters picked without replacement from {z: 4, l: 2, n: 7, d: 5}?
Math A: 28/153
Ask: Three letters picked without replacement from yawrgggyyayarrrarygy. Give prob of picking 1 g, 1 w, and 1 a.
Math A: 4/285
Ask: Three le
|
english
|
numbers: is prime
-----------------
Q: Is 96012523 a composite number?
Final Answer: False
Q: Is 27185489 composite?
Final Answer: True
Q: Is 23783 prime?
Final Answer: False
Q: Is 1693729 composite?
Final Answer: False
Q: Is 1255 prime?
Final Answer: False
Q: Is 61651 prime?
Final Answer: True
Q: Is 1268473753 a composite number?
Final Answer: True
Q: Is 2063826749 a prime number?
Final Answer: True
Q: Is 5257 a composite number?
Final Answer: True
Q: Is 6433 composite?
Final Answer: True
Q: Is 13384072729 a prime number?
Final Answer: True
Q: Is 3692360731 a prime number?
Final Answer: True
Q: Is 208409 composite?
Final Answer: False
Q: Is 2965681 prime?
Final Answer: True
Q: Is 103067 composite?
Final Answer: False
Q: Is 2392919 prime?
Final Answer: True
Q: Is 7200229585 prime?
Final Answer: False
Q: Is 6657798103 composite?
Final Answer: True
Q: Is 14745668933 composite?
Final Answer: False
Q: Is 1618135681 a prime number?
Final Answer: False
Q: Is 7377 a composite number?
Final Answer: True
Q: Is 1426288243 prime?
Final Answer: False
Q: Is 32011137593 composite?
Final Answer: True
Q: Is 459230977 prime?
Final Answer: True
Q: Is 641681 a prime number?
Final Answer: True
Q: Is 6913 a composite number?
Final Answer: True
Q: Is 48473509 composite?
Final Answer: True
Q: Is 28637 composite?
Final Answer: True
Q: Is 21172465679 a composite number?
Final Answer: False
Q: Is 809 prime?
Final Answer: True
Q: Is 14143 a composite number?
Final Answer: False
Q: Is 5716904227 prime?
Final Answer: True
Q: Is 57215 a composite number?
Final Answer: True
Q: Is 33622652633 composite?
Final Answer: False
Q: Is 210562483 prime?
Final Answer: True
Q: Is 2073707 prime?
Final Answer: True
Q: Is 17335 a prime number?
Final Answer: False
Q: Is 2816641 a composite number?
Final Answer: True
Q: Is 1755355499 a prime number?
Final Answer: True
Q: Is 45928003 a prime number?
Final Answer: False
Q: Is 28914113 composite?
Final Answer: False
Q: Is 7306231 composite?
Final Answer: True
Q: Is
|
english
|
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