text
stringlengths 2.35k
7.98k
| meta
dict |
|---|---|
-5473941 + 5650?
-5468291
What is -142742.5 plus -0.05?
-142742.55
Sum -823288 and -0.52.
-823288.52
Work out -1 - 18533628.
-18533629
Work out 22505 - -352284.
374789
Total of -41311 and 107454.
66143
16608.073903+-3
16605.073903
Put together 0 and 15.8842949.
15.8842949
Add together 25948 and -3.481.
25944.519
What is 807066 minus -37?
807103
-685.07304 - 0.5
-685.57304
What is -956190 minus 4.7?
-956194.7
What is 5611597 take away -0.2?
5611597.2
Calculate 61295136 - -0.08.
61295136.08
What is 8318.8133 plus -0.035?
8318.7783
Sum 1.1077 and 39544.
39545.1077
Work out 713667 - -141.
713808
-1.343+19697559
19697557.657
What is 512 - 0.03150714?
511.96849286
Calculate 16822.2 + 0.049.
16822.249
What is -1.0161 less than 0.059?
1.0751
Put together 817864881 and 16.
817864897
What is the difference between 138078173 and 0.13?
138078172.87
Add -132070 and 41.33.
-132028.67
Calculate 70.27 + 0.435038.
70.705038
What is 93128.446 + -1?
93127.446
Add together 3.4865691 and 9.
12.4865691
What is 50391 - 69?
50322
What is 8 + -47607169?
-47607161
What is 1168693 plus -4?
1168689
Add 231986679 and 0.
231986679
-147 + -60430
-60577
Sum -1.37102 and -464.
-465.37102
Add together 29 and 1491.84043.
1520.84043
What is -190377 minus -288?
-190089
What is -584599 + -1.7?
-584600.7
Total of 7779123 and 1673.
7780796
What is -27889 minus 1.46801?
-27890.46801
What is 77.5523 less than 0.173?
-77.3793
Work out -0.4815 - 62.213.
-62.6945
146 - -0.874443
146.874443
Add together -1 and 839369.
839368
What is the distance between -819 and 0.33855057?
819.33855057
Put together 0.03 and -390127370.
-390127369.97
Put together 295297024 and 0.
295297024
What is the distance between 285.5 and 0.05896?
285.44104
Calculate 6770 - 6267.
503
Put together 1055 and -2435.
-1380
Work out -61.016 + -0.20556.
-61.22156
2 - -0.1922619958
2.1922619958
Work out -222755842 - 0.44.
-222755842.44
Total of 0.0114326692 and 121.
121.0114326692
Total of 1.9897182 and 38.5.
40.4897182
172579083 - -0.06
172579083.06
Add together 1380572 and 885.
1381457
Calculate -56082196 + -1.18.
-56082197.18
Work out -0.18 + 0.4147309.
0.2347309
Subtract 1078908.4 from -0.5.
-1078908.9
What is -13.52 plus -3734?
-3747.52
Sum -11381 and 32.557.
-11348.443
What is the difference between 103 and 107111?
107008
What is -16 - 828517?
-828533
Sum 0.15097 and 19300.
19300.15097
Calculate 39 - 63388.181.
-63349.181
What is 40 - 11335328?
-11335288
-1247+-863807.7
-865054.7
Put together 789.3758 and 10.
799.3758
What is 679264.2 take away 3?
679261.2
Sum -5.2967 and 626.2.
620.9033
What is -380.491 less than 17?
397.491
Subtract 38704000 from -4394.
-38708394
What is 1378483 + 35?
1378518
Work out -64717267 - -0.8.
-64717266.2
What is -0.08258049 plus -7.9?
-7.98258049
Calculate -16702998 + -1.
-16702999
Work out -104255432 + 0.3.
-104255431.7
What is the difference between -5225 and 626?
5851
What is 0.8 take away -2865410?
2865410.8
Sum 0.9 and 2762819.122.
2762820.022
What is -2 plus 10867479?
10867477
What is -0.01 take away 182769.958?
-182769.968
Add together -16.49773 and 5.
-11.49773
What is 3.7603 less than -1009?
-1012.7603
-28667+-20182
-48849
-8 + 198964
198956
What is -3 + 7571844.77?
7571841.77
What is 17275 minus 12125?
5150
Work out -1256 + 220050.
218794
Calculate -0.19 - -17477658.9.
17477658.71
What is 59795.174 take away -2?
59797.174
What is 585686 + -0.26?
585685.74
Calculate 9062 + 1539.9.
10601.9
What is the distance between -9253093 and -72?
9253021
0.05831542 - -2.2
2.25831542
What is 0.5 minus 0.30120056?
0.19879944
Calculate 56801189 - -0.4.
56801189.4
39022+-1707
37315
Put together 29970676 and 16.
29970692
Sum 24894 and 78515.
103409
What is -0.6290686 plus 0.1327?
-0.4963686
What is 0 - 6079859124?
-6079859124
Add together 63801408 and -0.053.
63801407.947
Work out -2.1 - -873085.
873082.9
Sum -0.06 and -2301.632.
-2301.692
What is 375 minus -2.992435?
377.992435
What is the difference between 6 and 344716696?
344716690
What is the difference between -0.010454 and -385?
384.989546
1785067+11
1785078
Subtract 319170.2 from -1276.
-320446.2
What is -5 less than 53.444332?
58.444332
Calculate 3 + 5078488.
5078491
Add 2815031 and -836.
2814195
Calculate 0.58 + 0.45056.
1.03056
Add 42983 and -199745.
-156762
Sum 269503 and 0.114.
269503.114
0.04292534493+5
5.04292534493
What is -865.17 take away -1140?
274.83
-9+4.025321
-4.974679
Work out 175383739 + 0.07.
175383739.07
Work out -1041134 + 0.005.
-1041133.995
Total of -180557605 and 5.
-180557600
What is -417525342 - 0.58?
-417525342.58
Add together 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
12*sqrt(3)
Simplify ((sqrt(612) + 0)*2 + (sqrt(612) - sqrt(612)*1)*-3 + sqrt(612) + sqrt(612))**2.
9792
Simplify sqrt(6)/(sqrt(40)/sqrt(5)).
sqrt(3)/2
Simplify (-2 + sqrt(1008))**2 - (2*sqrt(343) + sqrt(343)).
-69*sqrt(7) + 1012
Simplify (sqrt(275) + (((sqrt(275) - (sqrt(275) + -2)) + sqrt(275))*-4 - sqrt(275) - sqrt(275)))**2.
400*sqrt(11) + 6939
Simplify sqrt(22)/((sqrt(44)/sqrt(2))/sqrt(2)).
sqrt(2)
Simplify ((sqrt(78) + sqrt(78)*-1)/sqrt(3) - sqrt(26))/((sqrt(40)/sqrt(2))/sqrt(10) + sqrt(2)) + -2.
-2 - sqrt(13)/2
Simplify -5*4*(sqrt(80)*2 + 5)**2.
-6900 - 1600*sqrt(5)
Simplify sqrt(15)/sqrt(180)*-6.
-sqrt(3)
Simplify 4 + sqrt(1331)*1.
4 + 11*sqrt(11)
Simplify (sqrt(245)/(2*sqrt(7)))/(sqrt(20)/sqrt(36)).
3*sqrt(7)/2
Simplify (5*-1*sqrt(56) + sqrt(56))/(2*sqrt(392) + sqrt(392)).
-4*sqrt(7)/21
Simplify sqrt(1573) + 3*sqrt(1573) + -1 + -3*(sqrt(1573) + 2).
-7 + 11*sqrt(13)
Simplify ((sqrt(44)/sqrt(4))**2 - sqrt(11)) + 0 + sqrt(11) + sqrt(44)/sqrt(4)*3.
3*sqrt(11) + 11
Simplify (sqrt(130)/sqrt(250))**2 - (sqrt(52)/sqrt(4) + 1)**2.
-337/25 - 2*sqrt(13)
Simplify (sqrt(204) + -4*sqrt(204)*-1 - sqrt(204))/(sqrt(1452)*2 - sqrt(1452) - sqrt(1452) - sqrt(12)).
-4*sqrt(17)
Simplify 1 + (-3 + sqrt(13) + sqrt(117) + 0 + sqrt(13) + -3)**2.
-60*sqrt(13) + 362
Simplify -3*4*(sqrt(1872) + -1).
-144*sqrt(13) + 12
Simplify (sqrt(35)/(sqrt(500)*-2) + 2)**2.
-sqrt(7)/5 + 1607/400
Simplify -5*(0 + sqrt(32)) + 4.
-20*sqrt(2) + 4
Simplify -1 + (0 + sqrt(44) + 2)**2 + -1.
8*sqrt(11) + 46
Simplify -2*((sqrt(2448) - (sqrt(2448) + (sqrt(2448)*-1)**2)) + -4).
4904
Simplify sqrt(720) - (-2 + sqrt(720) + 1).
1
Simplify ((-5*(sqrt(35) + sqrt(70)/sqrt(2) - sqrt(35)))/((sqrt(30) - sqrt(270))/sqrt(6)))**2.
175/4
Simplify sqrt(605)*-1 + 2 - (0 + sqrt(605)*-1)**2.
-603 - 11*sqrt(5)
Simplify (3 + -1 + sqrt(720) + 5)**2 + -1.
168*sqrt(5) + 768
Simplify sqrt(832) + sqrt(832)*-3 + -2.
-16*sqrt(13) - 2
Simplify ((sqrt(5) - (0 + sqrt(5)))*-3 + 5)*-6.
-30
Simplify sqrt(176) + -1 + 5.
4 + 4*sqrt(11)
Simplify ((sqrt(70) + 5*(sqrt(70) + -1*sqrt(70)))/sqrt(10))**2 + 5.
12
Simplify (sqrt(153)/((sqrt(108) - (sqrt(108) - 1*sqrt(108)))/sqrt(12)))**2.
17
Simplify (sqrt(1584)*-3*2)**2 - (sqrt(1584) + (sqrt(1584) - -1*sqrt(1584)) + -5)**2.
360*sqrt(11) + 42743
Simplify (-6*(1 + sqrt(539)) + sqrt(88)/(2*sqrt(8)) + 5*sqrt(22)/sqrt(2))**2.
438*sqrt(11) + 58763/4
Simplify ((sqrt(216) - sqrt(24))*-5)/(-2*sqrt(588)).
5*sqrt(2)/7
Simplify (3*sqrt(171)*-1)/((sqrt(108) + 1*sqrt(108))/sqrt(12)).
-3*sqrt(19)/2
Simplify sqrt(35)/(sqrt(175)*1).
sqrt(5)/5
Simplify 5*sqrt(208) - (sqrt(91)/(4*sqrt(7) + sqrt(7)) - sqrt(13))**2.
-208/25 + 20*sqrt(13)
Simplify -5*((-2*sqrt(448) - sqrt(448)) + sqrt(7))**2*4.
-74060
Simplify (1*sqrt(104)*-1)/sqrt(8).
-sqrt(13)
Simplify 1 + (sqrt(80))**2 + sqrt(5) + sqrt(5) + sqrt(5) + 0 + -5 + sqrt(5).
4*sqrt(5) + 76
Simplify (sqrt(36)/(2*sqrt(300)))**2.
3/100
Simplify (-3*(-1 + sqrt(272)))**2 + 2.
-72*sqrt(17) + 2459
Simplify (5*(sqrt(192) + 4))**2*2.
3200*sqrt(3) + 10400
Simplify (6*(0 + sqrt(304)))**2 + 6*-2*sqrt(304) + 2.
-48*sqrt(19) + 10946
Simplify (-2 + sqrt(500))**2 + 0.
-40*sqrt(5) + 504
Simplify ((sqrt(171) + -2*(1*sqrt(171) - sqrt(171)))/sqrt(9) + -3)**2.
-6*sqrt(19) + 28
Simplify (sqrt(343)/sqrt(7)*3)/sqrt(7).
3*sqrt(7)
Simplify sqrt(16)/(1*((sqrt(8) - sqrt(288)) + sqrt(8)) + sqrt(8)).
-sqrt(2)/3
Simplify (sqrt(114)*3*-6)/(3*sqrt(294)).
-6*sqrt(19)/7
Simplify sqrt(25)/(sqrt(20)/sqrt(4)) - (0 + sqrt(5))*5.
-4*sqrt(5)
Simplify (-3*sqrt(42)*2)/(sqrt(96)/sqrt(4)).
-3*sqrt(7)
Simplify (sqrt(385)/sqrt(7))/sqrt(5) - sqrt(11) - (sqrt(11) - (2 + 2*sqrt(11))**2).
7*sqrt(11) + 48
Simplify (sqrt(1573)*-1 + 4)*6 + 3.
-66*sqrt(13) + 27
Simplify 4*(-5*(sqrt(35) + sqrt(140)))/sqrt(7)*-6.
360*sqrt(5)
Simplify -5 + sqrt(28) - ((sqrt(504) - sqrt(56))/sqrt(8))**2.
-33 + 2*sqrt(7)
Simplify (5 + ((sqrt(91) + 4*sqrt(91))*-4 + sqrt(91))/sqrt(7))**2.
-190*sqrt(13) + 4718
Simplify (sqrt(468)*-2)/sqrt(4).
-6*sqrt(13)
Simplify -4*(2 + sqrt(39)/sqrt(3)).
-4*sqrt(13) - 8
Simplify (4*sqrt(102)*3)/(sqrt(42)/sqrt(63)).
36*sqrt(17)
Simplify (sqrt(36)/sqrt(3))/sqrt(4) + -4.
-4 + sqrt(3)
Simplify (sqrt(10) - (2*sqrt(80) + sqrt(80))/sqrt(8))/(sqrt(500) + (sqrt(500) - (sqrt(500) + -1*sqrt(500)))).
-sqrt(2)/10
Simplify (5*1*sqrt(70) - sqrt(70))/sqrt(10).
4*sqrt(7)
Simplify (sqrt(68)*3*2)/sqrt(4).
6*sqrt(17)
Simplify 2*sqrt(13) + 3 + -5.
-2 + 2*sqrt(13)
Simplify sqrt(21)/(sqrt(7) + (sqrt(14)*1)/sqrt(2)).
sqrt(3)/2
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
divide 3532292?
False
Is 11 a factor of 98054?
True
Is 13 a factor of 1832714?
True
Does 16 divide 3204320?
True
Is 688055 a multiple of 58?
False
Does 413 divide 1549524?
False
Is 596263 a multiple of 41?
True
Is 2132534 a multiple of 374?
False
Is 711 a factor of 30288600?
True
Is 872 a factor of 2922944?
True
Does 14 divide 1432193?
False
Is 195 a factor of 593580?
True
Is 27 a factor of 575046?
True
Is 29 a factor of 3646876?
False
Is 41 a factor of 20856618?
True
Does 73 divide 964323?
False
Is 494965 a multiple of 417?
False
Is 294690 a multiple of 165?
True
Is 970623 a multiple of 682?
False
Is 5975762 a multiple of 44?
False
Is 11262303 a multiple of 9?
True
Is 1769743 a multiple of 233?
False
Is 46 a factor of 162288?
True
Is 42 a factor of 284844?
True
Is 187 a factor of 158742?
False
Does 128 divide 117120?
True
Is 3571848 a multiple of 504?
True
Is 4 a factor of 92864?
True
Is 393 a factor of 528876?
False
Is 6505134 a multiple of 7?
False
Is 2319084 a multiple of 27?
True
Does 325 divide 936650?
True
Is 102751 a multiple of 21?
False
Is 173 a factor of 953692?
False
Does 5 divide 41250?
True
Is 36 a factor of 4109328?
True
Is 81862 a multiple of 122?
True
Is 1129020 a multiple of 124?
True
Does 126 divide 154476?
True
Does 1121 divide 17109027?
False
Does 241 divide 53593?
False
Is 13696661 a multiple of 455?
False
Is 1328720 a multiple of 82?
False
Is 16 a factor of 3286672?
True
Is 488615 a multiple of 395?
True
Is 32667 a multiple of 38?
False
Is 11 a factor of 816772?
True
Is 246674 a multiple of 16?
False
Is 325944 a multiple of 9?
True
Is 5786096 a multiple of 75?
False
Is 15 a factor of 3471796?
False
Does 12 divide 35532?
True
Does 354 divide 52038?
True
Is 687095 a multiple of 71?
False
Is 20 a factor of 540420?
True
Is 2125430 even?
True
Is 163 a factor of 674902?
False
Is 34 a factor of 1181602?
True
Is 348084 a multiple of 53?
False
Is 195726 a multiple of 13?
False
Is 1060 a factor of 142501?
False
Does 45 divide 40095?
True
Is 4050977 a multiple of 22?
False
Is 13998 a multiple of 2?
True
Is 155 a factor of 162237?
False
Is 141 a factor of 109698?
True
Does 41 divide 545083?
False
Is 3595950 a multiple of 262?
True
Is 4487120 a multiple of 40?
True
Is 2750865 a multiple of 1578?
False
Is 39 a factor of 507?
True
Is 76 a factor of 17394576?
True
Is 3 a factor of 205078?
False
Is 23653 a multiple of 109?
True
Is 142 a factor of 324547?
False
Is 307853 a multiple of 39?
False
Is 818385 a multiple of 11?
False
Does 514 divide 596240?
True
Does 6 divide 130667?
False
Is 1934530 a multiple of 15?
False
Does 302 divide 126840?
True
Is 35 a factor of 15728?
False
Does 23 divide 138184?
True
Does 16 divide 749008?
True
Does 43 divide 2852534?
True
Is 14954404 a multiple of 736?
False
Is 13 a factor of 233207?
True
Is 78 a factor of 175714?
False
Does 15 divide 282243?
False
Is 397 a factor of 525231?
True
Is 244 a factor of 6651440?
True
Does 12 divide 16305?
False
Does 53 divide 43354?
True
Is 281876 even?
True
Is 24 a factor of 7814976?
True
Does 15 divide 146810?
False
Does 213 divide 187014?
True
Does 69 divide 14497866?
True
Does 153 divide 223312?
False
Is 19 a factor of 127614?
False
Does 7 divide 34096?
False
Is 3 a factor of 174075?
True
Is 16151876 a multiple of 89?
False
Does 18 divide 103140?
True
Is 31302 a multiple of 11?
False
Is 138585 a multiple of 17?
False
Is 41 a factor of 33718?
False
Is 139 a factor of 599785?
True
Does 34 divide 475796?
True
Is 207050 a multiple of 101?
True
Does 33 divide 2032734?
True
Is 6625 a multiple of 25?
True
Is 11 a factor of 454157?
True
Is 22504 a multiple of 232?
True
Is 36 a factor of 3292416?
True
Is 77 a factor of 19697139?
True
Is 254968 a multiple of 8?
True
Is 1839264 a multiple of 14?
True
Is 14139781 a multiple of 45?
False
Is 105 a factor of 481425?
True
Is 15099922 a multiple of 40?
False
Is 51229 a multiple of 266?
False
Is 10248 a multiple of 14?
True
Is 19 a factor of 779608?
True
Is 7857849 a multiple of 10?
False
Is 184168 a multiple of 2?
True
Is 8 a factor of 207064?
True
Is 20881 a multiple of 7?
True
Does 29 divide 2132020?
False
Is 164 a factor of 41061?
False
Is 21725 a multiple of 47?
False
Does 698 divide 4254353?
False
Is 1582472 a multiple of 152?
True
Does 137 divide 917626?
True
Does 108 divide 89208?
True
Is 79439 a multiple of 17?
False
Is 67 a factor of 231854?
False
Does 8 divide 247416?
True
Is 27472 a multiple of 202?
True
Does 202 divide 1053222?
False
Does 439 divide 1988231?
True
Is 690 a factor of 690?
True
Is 20078 a multiple of 2?
True
Does 6 divide 930075?
False
Is 581 a factor of 611212?
True
Is 225422 a multiple of 62?
False
Is 6322280 a multiple of 716?
True
Is 10 a factor of 697110?
True
Does 103 divide 414135?
False
Is 6 a factor of 86305?
False
Is 51716 a multiple of 44?
False
Does 4 divide 413088?
True
Does 231 divide 905810?
False
Is 634920 a multiple of 370?
True
Is 2972840 a multiple of 65?
True
Does 65 divide 1658027?
False
Is 41 a factor of 328861?
True
Is 32 a factor of 93718?
False
Is 59 a factor of 2866515?
True
Does 21 divide 587213?
False
Does 20 divide 448900?
True
Is 1142709 a multiple of 38?
False
Does 2 divide 5736114?
True
Does 65 divide 2996789?
False
Does 29 divide 109997?
True
Does 162 divide 465628?
False
Does 12 divide 2045544?
True
Does 20 divide 3130640?
True
Is 3 a factor of 1028199?
True
Is 266766 a multiple of 173?
True
Is 81 a factor of 16054?
False
Does 4 divide 529572?
True
Is 363855 a multiple of 955?
True
Is 111 a factor of 3634109?
False
Is 12 a factor of 108156?
True
Is 27 a factor of 14850?
True
Does 56 divide 1735228?
False
Is 40 a factor of 3774336?
False
Is 15816852 a multiple of 36?
True
Is 972898 a multiple of 12?
False
Is 575 a factor of 5393500?
True
Does 27 divide 461214?
True
Is 10 a factor of 146330?
True
Is 378599 a multiple
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from tcqttqitgiggqitir. What is prob of picking 1 q and 2 i?
9/340
Two letters picked without replacement from {y: 2, u: 1, c: 1, r: 2, t: 1}. Give prob of picking 1 y and 1 c.
2/21
Three letters picked without replacement from kkjkkkkkkkjksk. What is prob of picking 3 k?
165/364
Two letters picked without replacement from vjvjjvjvjjj. Give prob of picking 2 v.
6/55
Two letters picked without replacement from {h: 3, p: 2, i: 6, l: 2}. Give prob of picking 2 p.
1/78
What is prob of picking 1 v and 1 a when two letters picked without replacement from qqqaaqvaaqqqqavq?
1/12
Three letters picked without replacement from tvggssttttgogott. What is prob of picking 1 v, 1 s, and 1 t?
1/40
What is prob of picking 2 a when two letters picked without replacement from ooaaaao?
2/7
Three letters picked without replacement from ruxgxxxgx. What is prob of picking 1 x, 1 g, and 1 u?
5/42
What is prob of picking 4 d when four letters picked without replacement from nddndddd?
3/14
Three letters picked without replacement from {b: 2, h: 1, j: 5, f: 1}. Give prob of picking 1 f, 1 j, and 1 b.
5/42
Four letters picked without replacement from {r: 5, v: 8, h: 4}. What is prob of picking 2 r and 2 v?
2/17
Calculate prob of picking 2 f when two letters picked without replacement from mfwyyfyfffmgwswsmsg.
10/171
Two letters picked without replacement from uetwwwf. Give prob of picking 2 w.
1/7
Two letters picked without replacement from zzzqqzpspszs. What is prob of picking 1 z and 1 p?
5/33
Two letters picked without replacement from {y: 9, u: 2, s: 1, a: 8}. Give prob of picking 1 a and 1 y.
36/95
Two letters picked without replacement from {g: 1, o: 1, m: 3, p: 3, n: 2, j: 1}. What is prob of picking 1 p and 1 n?
6/55
Calculate prob of picking 1 x, 2 c, and 1 r when four letters picked without replacement from {x: 2, c: 7, t: 2, r: 1}.
14/165
Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {k: 1, q: 2, h: 1, x: 1, d: 1, f: 1}.
1/21
Four letters picked without replacement from pesptxtxexfx. Give prob of picking 1 e, 1 f, and 2 x.
4/165
What is prob of picking 1 v and 1 g when two letters picked without replacement from mkckcckgmvcmcmkc?
1/120
What is prob of picking 2 b when two letters picked without replacement from {e: 7, x: 4, f: 1, b: 4, v: 2}?
2/51
Two letters picked without replacement from cufxcye. What is prob of picking 1 y and 1 x?
1/21
Three letters picked without replacement from {k: 2, i: 1, n: 1, l: 4}. What is prob of picking 1 i, 1 k, and 1 l?
1/7
Three letters picked without replacement from gfootgoowlottwfl. Give prob of picking 2 l and 1 o.
1/112
Calculate prob of picking 3 l when three letters picked without replacement from lllb.
1/4
Three letters picked without replacement from jaajajaajuua. Give prob of picking 3 j.
1/55
Calculate prob of picking 3 z when three letters picked without replacement from izzivzvzivzivizz.
1/16
Three letters picked without replacement from {m: 3, q: 1, j: 7, n: 1}. Give prob of picking 3 m.
1/220
Four letters picked without replacement from {p: 2, u: 1, g: 6, a: 3}. Give prob of picking 1 g, 2 a, and 1 u.
2/55
Two letters picked without replacement from knkkkknkkrrk. Give prob of picking 1 k and 1 r.
8/33
Four letters picked without replacement from ccccccbcccccccccbccc. Give prob of picking 3 c and 1 b.
32/95
What is prob of picking 2 k, 1 s, and 1 c when four letters picked without replacement from {r: 6, c: 1, s: 3, e: 3, v: 1, k: 4}?
1/170
Four letters picked without replacement from zyqygqqyyq. What is prob of picking 1 g and 3 y?
2/105
What is prob of picking 2 s when two letters picked without replacement from {w: 5, v: 2, s: 3, x: 2}?
1/22
Calculate prob of picking 1 g and 3 c when four letters picked without replacement from {w: 1, o: 5, s: 1, c: 5, r: 2, g: 5}.
25/1938
Four letters picked without replacement from xrjrjjjrrjjjxxjj. What is prob of picking 1 r, 2 j, and 1 x?
108/455
Two letters picked without replacement from {z: 1, o: 1, t: 1}. What is prob of picking 1 z and 1 o?
1/3
Calculate prob of picking 1 o, 2 e, and 1 m when four letters picked without replacement from tomeffe.
1/35
Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhhhhhcchhc.
33/91
Four letters picked without replacement from {k: 1, o: 6, m: 11, v: 1, t: 1}. Give prob of picking 3 m and 1 t.
11/323
What is prob of picking 4 l when four letters picked without replacement from lxlxxlxxxl?
1/210
Three letters picked without replacement from gniiiiiniggnngni. What is prob of picking 3 g?
1/140
What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 2, l: 2, i: 3, v: 9, g: 3}?
4/171
What is prob of picking 1 k and 1 y when two letters picked without replacement from ymkpp?
1/10
Calculate prob of picking 1 r and 1 m when two letters picked without replacement from mmrmmmrr.
15/28
Three letters picked without replacement from leezllzzeekzzlzzle. Give prob of picking 2 l and 1 e.
25/408
Three letters picked without replacement from zzhssuuzuszz. What is prob of picking 2 z and 1 u?
3/22
Four letters picked without replacement from jjpsjsjs. What is prob of picking 3 j and 1 p?
2/35
Four letters picked without replacement from {d: 2, l: 1, j: 1, p: 3}. Give prob of picking 1 d, 1 j, and 2 p.
6/35
What is prob of picking 2 b and 2 l when four letters picked without replacement from {b: 6, l: 2}?
3/14
Calculate prob of picking 1 c and 2 s when three letters picked without replacement from {c: 1, s: 18}.
3/19
Calculate prob of picking 3 x and 1 t when four letters picked without replacement from {x: 5, t: 2}.
4/7
Three letters picked without replacement from rlllllrrrl. Give prob of picking 3 r.
1/30
What is prob of picking 1 b and 3 v when four letters picked without replacement from {t: 6, b: 1, h: 1, v: 3, m: 3}?
1/1001
What is prob of picking 1 k and 1 t when two letters picked without replacement from mmkmtmk?
2/21
Three letters picked without replacement from {c: 5, i: 2}. Give prob of picking 3 c.
2/7
Four letters picked without replacement from {b: 5, o: 13}. What is prob of picking 3 o and 1 b?
143/306
What is prob of picking 1 p and 2 x when three letters picked without replacement from pyyyyfhxhyxhhhx?
3/455
Calculate prob of picking 2 g and 1 l when three letters picked without replacement from {l: 7, g: 3}.
7/40
Three letters picked without replacement from pppoqppeppppepop. What is prob of picking 1 q and 2 o?
1/560
Calculate prob of picking 3 a when three letters picked without replacement from {a: 4}.
1
Two letters picked without replacement from rrlrlrllrvvvr. What is prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
Let r = 4482.9 - 4946. Let s = 828 + -338. Let g = r + s. Round g to the nearest integer.
27
Let p = -1630229939206.000000561 - -1630229938334. Let q = -872 - p. Round q to seven decimal places.
0.0000006
Let z = 6.01 - 1.11. Let c = -4 + z. Let l = 0.76 - c. Round l to one dp.
-0.1
Let d = 39978.9999935111 - 39979. Round d to 6 dps.
-0.000006
Let x be (155814/24 + 2)*(-176)/(-33)*150. Round x to the nearest 10000.
5200000
Let t(m) = -8*m**2 - 88*m - 580. Let b be t(79). What is b rounded to the nearest one thousand?
-57000
Let b = -0.102 + 0.016. Let n = -0.34603258 - -0.4320332. Let w = b + n. Round w to seven decimal places.
0.0000006
Let d = -311 - -327.3. Let h = -16 + d. Let n = -0.3000114 + h. Round n to six decimal places.
-0.000011
Let q = -271.89 + -3.11. Let u = q - -275.0000222. Round u to six decimal places.
0.000022
Let o = -2482.2825 + 2460.2824645. Let j = 22 + o. What is j rounded to five decimal places?
-0.00004
Let b(c) = -1317143*c - 2864. Let q be b(-48). What is q rounded to the nearest one million?
63000000
Let u = 0.0326 - -3.0574. Let f = u - 3.08999556. Round f to 7 dps.
0.0000044
Let g = -0.0036 - -0.057. Let a = g + -261.0534. Let i = 264.03 + a. Round i to 1 dp.
3
Let w(n) = 14*n + 32. Let p be w(-27). Suppose -34*o + 60 = -33*o. Let y be (-20)/o + (p/3)/2. Round y to the nearest 10.
-60
Let y = 4155.52 - 4052. Round y to the nearest integer.
104
Let u = -44265 - 2525. What is u rounded to the nearest 1000?
-47000
Let q = 243 + -168. Let n = q + -74.963. Let l = -0.037007 + n. Round l to 6 dps.
-0.000007
Let v = 1383 + -351. Let a = v - 970.3. What is a rounded to the nearest ten?
60
Let f be 48*((-6)/8)/((-18)/14096). What is f rounded to the nearest 100?
28200
Let q be 90/(-6*3/(-427260)). Suppose 3*i - 4*k = -22290020, 5*k + 27583675 = -4*i - q. What is i rounded to the nearest one million?
-7000000
Suppose -s - 2*d + 34 = -39, -3*d = 3*s - 225. Suppose 72*l - 30800 = s*l. What is l rounded to the nearest one thousand?
-6000
Let h(b) = -368*b**2 - 10*b - 40. Let p be h(-25). What is p rounded to the nearest 1000?
-230000
Let n = -6151.2493 - -6151. Let z = n + 0.204. Round z to 2 decimal places.
-0.05
Let p = -364101287511 - -236182365875. Let w = -127918920944.99999691 - p. Let m = w + -691. What is m rounded to seven dps?
0.0000031
Let g = -0.9361 - 5.2429. Round g to 1 dp.
-6.2
Let b = 48 - 45. Let r(i) = -11064*i - 1157*i - 2776*i - b. Let o be r(1). Round o to the nearest ten thousand.
-20000
Let w = 0.46571 + 59.50369. Let u = -60 + w. What is u rounded to 2 decimal places?
-0.03
Let p = -12636 - -12508. Let m = 124.534 + 5.386. Let i = p + m. What is i rounded to one decimal place?
1.9
Suppose 3100254 = 6*w - 387888. Let d = w - 2580357. Round d to the nearest 100000.
-2000000
Let f = 316623 - 316579.49088. Let m = f - 43.5. Round m to 3 decimal places.
0.009
Let a(b) = -12866665*b + 6. Suppose -2*p - 6 = -0*p. Let f be a(p). Suppose 2*w = -3*g + 38599997, -w + f = w - g. What is w rounded to the nearest 1000000?
19000000
Let x(i) = -455*i**2 + 293377*i**2 + 107079*i**2 - 7. Let o be x(-3). Suppose -2*q - q - j - 3599999 = 0, -o = 3*q - 2*j. Round q to the nearest 1000000.
-1000000
Let y = -29.8 + -4.2. Let v = 34.00006 + y. Round v to 5 decimal places.
0.00006
Let j = -1280 + 1279.999985105. Round j to seven decimal places.
-0.0000149
Let a = 4460.00010599 + -4460. Round a to six decimal places.
0.000106
Let c = -0.8429 - -583.4629. What is c rounded to the nearest 100?
600
Let z = -23.5899996702 + 23.59. What is z rounded to 7 decimal places?
0.0000003
Let q(g) = -310*g - 26. Suppose -68 = 17*c + 17*c. Let f be q(c). Round f to the nearest 100.
600
Suppose -9*s = -6*s - 180. Suppose x - 3*q = -4*x + s, 0 = -2*x - 4*q + 50. Let m be (700/(-1))/(x/345). What is m rounded to the nearest one thousand?
-16000
Let s = 1128 + -2704. Let h = 1576.01273 + s. What is h rounded to three dps?
0.013
Let j = -108.3 + 167.02. Let y = -59 + j. Let u = 0.27999958 + y. What is u rounded to 7 dps?
-0.0000004
Let c = -12505 - -12505.03245. Round c to 2 dps.
0.03
Let z = -0.229 - -0.8826. Let m = 17 - 16.35. Let w = m - z. What is w rounded to 2 decimal places?
0
Suppose -3*c = 3*h + 105, 2*h = -2*h - 8. Let u = c - -34. Let j be (112/12)/(u/150). What is j rounded to the nearest 1000?
1000
Let r = -5614 - -3515. Let x = r - -1993.7. What is x rounded to 0 decimal places?
-105
Let g(v) = -v**3 + 18*v**2 - 11*v + 2. Let h be g(18). Let x be (-2*(3 + 0))/((-2)/h). Let p be x*4 + 0 + 2. Round p to the nearest one hundred.
-2400
Let n be (-54)/(-6) + (-2)/2 + 0. Suppose 3137186 = -j + 5*y, -3*j + 3*y - n*y = 9411478. Let k = j - -777166. What is k rounded to the nearest 1000000?
-2000000
Let p(w) = -1009001*w**2 + 10*w. Suppose 3*q = 5*i - 41, -q = 2*q - 9. Let o be p(i). What is o rounded to the nearest 1000000?
-101000000
Let v = -666460909 - -666460905.143997259. Let n = v - -3.856. Round n to seven decimal places.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
4*x - 50. Determine q(7).
-78
Let t(a) = -18*a - 187. What is t(-14)?
65
Let g(b) = -b**2 - 2472*b - 9852. Determine g(-4).
20
Let u(o) = 2*o**3 + 368*o**2 - 2285*o + 27. Determine u(6).
-3
Let y(m) = -55*m**2 + 313*m + 110. Calculate y(6).
8
Let p(d) = 3*d**3 + 37*d**2 - 30*d - 30. Calculate p(-13).
22
Let t(m) = 49*m - 2243. Give t(46).
11
Let t(r) = -r**3 - 24*r**2 + r + 32. Calculate t(-24).
8
Let n(f) = f**2 - 101*f + 1581. Calculate n(82).
23
Let o(c) = -c**2 + 46*c - 352. Give o(38).
-48
Let m(p) = 17*p**2 + 64*p + 9. Give m(-4).
25
Let m(w) = -36*w + 730. Give m(20).
10
Let a(g) = -g**2 - 42*g - 88. Give a(-39).
29
Let x(c) = -137*c - 580. Calculate x(-4).
-32
Let o(k) = -7*k**2 + 94*k - 40. Determine o(13).
-1
Let i(x) = 2*x**2 + 8*x - 54. What is i(-7)?
-12
Let w(c) = 2*c**3 - 181*c**2 - 272*c - 386. Give w(92).
-18
Let v(u) = 16*u**3 + 114*u**2 + 50*u + 233. Determine v(-7).
-19
Let n(w) = -5*w**3 - 2*w**2 + 5*w - 6. Calculate n(-4).
262
Let v(k) = 2*k**3 + 393*k**2 + 580*k - 1019. Calculate v(-195).
-44
Let x(n) = n**3 + 22*n**2 - 27*n - 54. What is x(-23)?
38
Let p(i) = -i**3 + 29*i**2 - 34*i - 25. Give p(28).
-193
Let x(f) = 38*f + 310. Give x(-7).
44
Let h(j) = -j**2 + 128*j + 933. Calculate h(-7).
-12
Let l(v) = -v**3 + 11*v**2 - 21*v + 6. Give l(8).
30
Let q(z) = z**2 - 45*z + 231. Determine q(42).
105
Let p(k) = -18*k + 1013. Calculate p(55).
23
Let u(b) = 4*b**3 - 40*b**2 + 18*b - 174. Determine u(10).
6
Let d(v) = -v**3 - 16*v**2 - 22*v + 64. What is d(-14)?
-20
Let k(d) = 23*d - 656. Calculate k(28).
-12
Let a(s) = s**2 - 34*s - 95. What is a(37)?
16
Let k(w) = 7*w**2 + 62*w - 9. Determine k(-8).
-57
Let n(z) = -22*z + 109. Determine n(6).
-23
Let k(a) = -a**3 - 12*a**2 + 59*a - 120. Give k(-16).
-40
Let d(v) = v**3 - 2*v**2 - 37*v - 141. What is d(-4)?
-89
Let m(n) = -2*n**2 - 10*n + 151. Calculate m(-12).
-17
Let c(j) = j**3 + 128*j**2 - 270*j - 1298. Calculate c(-130).
2
Let n(j) = 141*j**2 + 1837*j + 32. Give n(-13).
-20
Let o(j) = 6609*j - 13211. Give o(2).
7
Let z(c) = 7*c**2 - 14*c + 22. What is z(4)?
78
Let m(n) = 2*n**2 + 86*n + 336. What is m(-4)?
24
Let f(u) = 10*u - 3. Calculate f(5).
47
Let p(x) = x**3 - 17*x**2 + 84*x - 564. Calculate p(14).
24
Let m(v) = -74*v + 12. Calculate m(3).
-210
Let h(r) = -33*r + 163. Determine h(4).
31
Let b(y) = y**3 - 3*y**2 + 7. Determine b(2).
3
Let z(i) = -3*i**3 - 577*i**2 - 760*i + 761. Calculate z(-191).
-3
Let t(c) = -102*c - 116. Calculate t(-7).
598
Let p(i) = 238*i**2 + 2154*i + 113. Give p(-9).
5
Let h(j) = -147*j - 7816. Calculate h(-53).
-25
Let u(w) = 126*w - 253. Calculate u(2).
-1
Let q(p) = -17*p**3 + 2*p**2 - 11*p - 19. Determine q(-2).
147
Let y(q) = 78*q**2 - 112*q - 336. Determine y(-3).
702
Let q(r) = -18*r**2 + 22*r. Determine q(1).
4
Let n(s) = s**3 - 42*s**2 + 34*s - 1527. Give n(42).
-99
Let q(s) = s**3 - 2*s**2 - 12*s + 16. Give q(7).
177
Let h(p) = p**3 - 274*p**2 + 137*p - 37535. Calculate h(274).
3
Let i(m) = -11*m**2 + 330*m - 40. Give i(30).
-40
Let w(r) = -19*r + 1981. What is w(92)?
233
Let a(w) = -31*w + 262. What is a(11)?
-79
Let y(c) = -2*c**2 - 259*c - 975. Give y(-4).
29
Let w(m) = 5*m**2 + 10. Give w(3).
55
Let u(h) = 2*h**2 - 333*h - 1717. Give u(-5).
-2
Let w(v) = 162*v - 6. Give w(2).
318
Let d(v) = -v**2 + 37*v + 368. What is d(45)?
8
Let b(j) = j**2 - 130*j + 2972. Give b(100).
-28
Let p(d) = -20*d + 369. Determine p(12).
129
Let b(w) = w**3 - 12*w**2 + 18*w + 13. What is b(10)?
-7
Let l(o) = -o**2 + 77*o - 1293. What is l(52)?
7
Let d(r) = -r**3 - 3*r**2 + 649*r - 4. Give d(24).
20
Let a(j) = j**3 + 11*j**2 + 9*j - 48. Calculate a(-5).
57
Let q(g) = 30*g + 201. What is q(-9)?
-69
Let v(c) = -c**2 + c + 41. Determine v(0).
41
Let x(q) = -136*q + 428. Determine x(3).
20
Let n(f) = -6*f - 22. Determine n(-6).
14
Let p(q) = q**3 - 10*q**2 - 14*q + 48. Determine p(11).
15
Let l(s) = -4*s**3 + 21*s**2 + 3*s - 50.
|
{
"pile_set_name": "DM Mathematics"
}
|
q a multiple of 32?
True
Let w(c) = -152*c - 10. Let n be w(5). Is 32 a factor of (-3)/9*(2 + n)?
True
Let x(g) = -g**2 - 20*g - 54. Let h be x(-17). Is ((-3)/(-9))/(h/(-7407))*1 a multiple of 33?
False
Is 34072*(-33)/(-24) - -22 a multiple of 11?
True
Let o(y) = 11*y + 88. Let k be o(-17). Let p = k + 187. Is 44 a factor of p?
True
Let h(j) = -j**3 - 18*j**2 + j. Let s be h(-18). Let r be 2/10 + s/(-10). Does 14 divide r/(8/(-130))*24/(-30)?
False
Let y(n) = 2752*n - 391. Is y(4) a multiple of 2?
False
Suppose 212171 = 21*x + 8555. Is x a multiple of 96?
True
Let w be (2 - (-22)/(-14)) + 5104/14. Is 3 a factor of 10*(3 - 1)*219/w?
True
Suppose -188*g + 24554 = -183*g + 4*l, 2*l = -g + 4906. Does 99 divide g?
False
Let d = 402 - 402. Suppose 4*y = -12, 3*a + 3*y + y - 933 = d. Is a a multiple of 9?
True
Let k(a) = a**2 + 8*a + 13. Let y be k(-5). Let u be (2/(-3) - 0)/(y/15). Suppose 3*f - 168 = u*p, 0*f + 2*p - 147 = -3*f. Is 17 a factor of f?
True
Suppose 0 = -a - 5*n - 144 - 71, 2*n = 0. Let h = a + 331. Is h a multiple of 3?
False
Suppose 0 = 3*x + 9*g - 11*g + 23, 12 = 3*g. Let z(s) = -3*s**3 - 9*s**2 + 5*s - 5. Is 10 a factor of z(x)?
True
Let k be 2/(-11) + 15190/55 + 1. Let s = 151 - k. Let r = -24 - s. Is r a multiple of 6?
True
Suppose 52 = -2*x + 4*l, -2*l = 4*x - 6*l + 120. Let d = x + 268. Suppose -5*b = b - d. Is b a multiple of 7?
False
Is (3460/(-90))/(16/(-792)) a multiple of 5?
False
Suppose 2*t - 3*y - 4 = 0, 0 = -3*t + 7*t - 2*y - 8. Suppose 4*q + 704 = 5*l, t*q + 431 = 5*l - 271. Is 13 a factor of l?
False
Let t be (-49)/(-7) + 1*-1. Let s(u) = 3*u - 19. Let p be s(t). Is 6 a factor of (-119 + 47)/(3/2*p)?
True
Let y(x) = 213*x + 3066. Is y(-6) a multiple of 64?
False
Let z(k) = -k**3 + 18*k**2 + 17*k + 43. Let u be z(19). Suppose -t - u = 0, n - 95 = -4*n - t. Is n a multiple of 12?
False
Let z be 7/((6/9)/(4/6)). Suppose 9*s = z*s + 18. Suppose -s*x + 6*x + 264 = 0. Is 11 a factor of x?
True
Let o(i) = 6*i - 87. Let c be o(15). Suppose 4743 = 28*z + c*z. Is z a multiple of 9?
True
Let g(d) = -2*d - 48. Let f be g(-19). Does 8 divide ((2 - f/(-6)) + 0)*147?
False
Let r = 11930 + 12447. Is 206 a factor of r?
False
Suppose -90*q + 3*r + 5752 = -85*q, 2*q + 5*r = 2276. Does 28 divide q?
True
Let h = 66 + -63. Suppose -h*m = -150 - 117. Is m a multiple of 9?
False
Suppose r - 54850 = -3*v, -23*v + 24*v - 18254 = -4*r. Does 20 divide v?
False
Let g = 5474 + -3110. Suppose -38*m + 35*m = -g. Is m a multiple of 54?
False
Suppose 0 = 78*j - 46978 - 110972. Is 9 a factor of j?
True
Let f = -184 + 298. Let j(q) = -f + q**2 + 0*q**2 + 136 + 7*q. Does 32 divide j(-11)?
False
Let y(k) = -k - 4. Let c be y(-4). Let j(v) = c + 4 + 9*v - 3*v**2 + 6*v**2. Is 15 a factor of j(-6)?
False
Suppose -669 = -g - 3*u - 90, -g + 607 = -4*u. Let j = g + -253. Is j a multiple of 13?
True
Let n be -1 + (-1)/(2/272) + -1. Is n/(-24)*(-96)/(-2) a multiple of 23?
True
Let j(c) = 100*c - 404. Is 22 a factor of j(8)?
True
Does 9 divide 14 + -6 - ((-63010)/(-2))/(-5)?
True
Let k be (2 + 6/(-4))*4. Suppose -13*q = 9 - 74. Suppose -259 = -k*t - h, q*h + 497 = 3*t + t. Is t a multiple of 23?
False
Let r(b) = 987*b + 282. Is r(4) a multiple of 23?
False
Let d(h) = -383*h + 1. Let v(w) = 766*w - 1. Let a(l) = -7*d(l) - 4*v(l). Let y be a(-1). Suppose -7*p + y = -2*p - 5*q, 0 = -q - 1. Is 15 a factor of p?
True
Let v(t) = -88*t + 4172. Does 25 divide v(9)?
False
Suppose 2*j - 10 = f, 5*j - 13*f + 17*f = 25. Suppose 5*d - 775 = -j*x, 45 + 780 = 5*x - 5*d. Is 10 a factor of x?
True
Let y(x) = 26*x + 5905. Is 9 a factor of y(69)?
False
Let z = 694 + -321. Suppose 1975 = 5*a + 4*u - u, -a - 5*u + z = 0. Does 20 divide a?
False
Let d = -713 - -731. Suppose 1293 = -d*z + 27429. Is z a multiple of 33?
True
Let f(v) = -v**3 + 4*v**2 + 4*v + 36. Let w be f(6). Is 22 a factor of (-9620)/(-16) + 3/w?
False
Let h = -14 - 3. Let t(m) = 40 + 33*m - 16 - 48*m + 16 - m**2. Does 2 divide t(h)?
True
Let c(f) = -6*f - 15. Let d(l) = -11*l - 31. Let i(k) = 7*c(k) - 4*d(k). Is i(2) a multiple of 23?
True
Let k(i) be the first derivative of -i**2/2 + 54*i + 14. Does 14 divide k(20)?
False
Let b = 41 - 53. Let s be b/21*(-42)/6. Suppose 0 = -s*l + 82 + 1150. Is 14 a factor of l?
True
Suppose 82 + 238 = -4*g. Is (-4)/g*15784 - (-2)/(-10) a multiple of 32?
False
Let f(c) = 3*c**2 - 332*c + 1. Is f(139) a multiple of 8?
True
Let g(h) = -h**2 + 5*h. Let i(a) = -7*a**2 + 23*a + 10. Let d(r) = -6*g(r) + i(r).
|
{
"pile_set_name": "DM Mathematics"
}
|
the third derivative of 13735317*b**4 - 24*b**2 + 67*b - 42 wrt b.
329647608*b
Find the second derivative of 10107546*n**2 + 22*n + 56009 wrt n.
20215092
What is the first derivative of -26195141*l**2 + 1611248 wrt l?
-52390282*l
What is the derivative of 1459*b**4*z - b**4 + 40515*b*z - 16881612*z - 2 wrt b?
5836*b**3*z - 4*b**3 + 40515*z
What is the second derivative of -3*t**5 - 1376432*t**2 - 7820743*t?
-60*t**3 - 2752864
Find the second derivative of 57135*l**2*t**2 + l**2*t - 4*l**2 + 332*l*t**4 - 21*l*t - l + 3328*t wrt t.
114270*l**2 + 3984*l*t**2
Find the second derivative of -4*p**5 - 61170*p**4 + 214*p**2 + 165206664*p.
-80*p**3 - 734040*p**2 + 428
Differentiate 1322302382*m + 1197771481 wrt m.
1322302382
What is the second derivative of 64560*x**4 + x**2 - 493419*x + 4?
774720*x**2 + 2
Differentiate 20094850*a + 15891619 wrt a.
20094850
Find the first derivative of 1880*i**2 + 19488*i - 70250321 wrt i.
3760*i + 19488
What is the second derivative of 18714522*s**3 + 5*s + 651116 wrt s?
112287132*s
Find the third derivative of -14*l**4 - 1318026*l**3 + l**2 - 29173*l - 1 wrt l.
-336*l - 7908156
Find the second derivative of k**3 - 2*k**2*m**3 - 114413*k**2*m**2 + 2*k*m**3 - 477*k*m - 2006*m**3 wrt k.
6*k - 4*m**3 - 228826*m**2
Find the third derivative of -622*c**6 + 302560*c**3 + 40927686*c**2.
-74640*c**3 + 1815360
What is the second derivative of 24640772*v**3 - 83421656*v wrt v?
147844632*v
Find the third derivative of 4*k**3*v**2 + 20786388*k**3*v*z + 1690*k**2*v**2 + 40773*k**2*v*z wrt k.
24*v**2 + 124718328*v*z
What is the third derivative of -24867394*b**6 - 6*b**3 - 113415791*b**2?
-2984087280*b**3 - 36
Find the first derivative of 5120*b*k**2*o*t - 31222*b*k**2*t - 2*b*o + b - 9373*k**2*o + k**2 - 20*k wrt t.
5120*b*k**2*o - 31222*b*k**2
What is the second derivative of -7*f**5 - 709746*f**2 + 64617936*f wrt f?
-140*f**3 - 1419492
Find the second derivative of 85*a**4*h**2 - 9037*a**4*h - a*h**2 - 1320*a + 278*h wrt a.
1020*a**2*h**2 - 108444*a**2*h
What is the third derivative of 26*a**3*g*r - 2*a**3*g + 180825*a**3*r + 6179*a**2*g - a**2*r + 7*a*r - 4*g*r - 2*r wrt a?
156*g*r - 12*g + 1084950*r
Find the first derivative of 12262488*h - 5532226.
12262488
Find the third derivative of 4805981*y**3 - 2*y**2 + 9743974 wrt y.
28835886
What is the second derivative of -236*l**5 + 16661*l**4 + 120593*l + 16 wrt l?
-4720*l**3 + 199932*l**2
Find the second derivative of -11500170*x**3 - 2*x - 1186492.
-69001020*x
Differentiate 376046795*b - 165118026 wrt b.
376046795
Find the second derivative of -39509081*w**3 - 43858527*w wrt w.
-237054486*w
Find the second derivative of 4*j**2*l**3 + 21511379*j**2*l - 33*j*l**3 - j*l - 9886*l**3 + 2*l**2 - 2*l - 16 wrt j.
8*l**3 + 43022758*l
Differentiate -152*g**2 - 210478*g + 298629015.
-304*g - 210478
What is the third derivative of 3*w**2*x**3 + w**2 - 111*w*x**2 + 86099*x**5 - 8*x**2 + 40*x wrt x?
18*w**2 + 5165940*x**2
Find the first derivative of 8*n**3 - 6233821*n**2 - 116895714.
24*n**2 - 12467642*n
What is the third derivative of -2*m**3*n*o**2 - 206*m**3*o**3 + m**2*n*o + 44*m**2*n - 773*m*n*o**3 + 14*n*o**3 + 46*n*o**2 - 679*n*o wrt o?
-1236*m**3 - 4638*m*n + 84*n
What is the derivative of 71*n**2 + 1428877*n*y - 110679432*y wrt n?
142*n + 1428877*y
What is the second derivative of -91982181*t**2 - 7192*t + 1088 wrt t?
-183964362
Differentiate -2391825*a**2 + 3914897 with respect to a.
-4783650*a
What is the third derivative of -9*f**3*g**3 + 3*f**3*g**2 - f**3*g + 2*f**3 + 53*f**2*g**2 + 122302*f*g**3 + 1139*f*g wrt g?
-54*f**3 + 733812*f
What is the second derivative of -5*j**2*k + 850227*j**2 + 5*j*k - 2875671*j wrt j?
-10*k + 1700454
Find the third derivative of -2*a**6 + 18736999*a**5 + 78448137*a**2.
-240*a**3 + 1124219940*a**2
Find the third derivative of 10*u**4 - 7520261*u**3 + 913754*u**2 + 63.
240*u - 45121566
What is the second derivative of -2*f**3*n**4 - f**3*n - f**3 + 2*f**2*n - 107*f**2 - 220*f*n - 2239693*n**4 - n wrt n?
-24*f**3*n**2 - 26876316*n**2
What is the third derivative of 1730*s**2*x**4 - 3*s**2*x**2 - 3*s**2*x + 134*s**2 - 1085*s*x**4 + x**2 + 8*x - 76 wrt x?
41520*s**2*x - 26040*s*x
What is the first derivative of 663440894*w**4 + 526171071 wrt w?
2653763576*w**3
Find the second derivative of -153939*f**3 - 361*f**2 + 930634*f + 37 wrt f.
-923634*f - 722
Find the third derivative of 40742563*p**4 - 3*p**3 + 7497732
|
{
"pile_set_name": "DM Mathematics"
}
|
2 assuming l is positive.
l**(-1568/15)
Simplify (u/(u*u**(-1/2)*u)*u)**(-10/11)*u**13*u**(-5)/u assuming u is positive.
u**(72/11)
Simplify (u/(u/(u/u**(2/7))))**29*u/(u*u**(-4)*u)*(u*u**(9/4)*u)/u assuming u is positive.
u**(755/28)
Simplify (o**(1/19)/(o*o**(-4/5)))/(o**0/((o/o**17)/o)) assuming o is positive.
o**(-1629/95)
Simplify n**(-8)*n**(-11/4)*n**(-10)*n*(n*(n/((n/(n*n*n*n*n*n**(-11)*n*n))/n))/n)/n assuming n is positive.
n**(-95/4)
Simplify (d*d**(4/9))/d**(-2/7)*(d**(-1/4))**(-22) assuming d is positive.
d**(911/126)
Simplify ((y**(-1)*y)/y**(-2/7))/(y**(2/3))**35 assuming y is positive.
y**(-484/21)
Simplify (((y**(2/5))**(-3/16))**(-4/13))**(26/7) assuming y is positive.
y**(3/35)
Simplify ((j*j**(-5)/j)/j**(-5)*j*((j*j/j**(-2))/j)/j*j/(j/((j/(j/(((j*j*j/(j*j/j**(-5/2)*j)*j)/j)/j))*j)/j))*j)**19 assuming j is positive.
j**(19/2)
Simplify (f/f**0)**32/(f*(f**(-2)*f)/f)**(-2/5) assuming f is positive.
f**(158/5)
Simplify (k**(-3/2))**(-17)/(k*k/(k**29*k)*k**(7/4)) assuming k is positive.
k**(207/4)
Simplify q**(-17)*q**1*q*q*q**(-26)*q*q**(-34)*q*q assuming q is positive.
q**(-71)
Simplify (r*r*r/(r*r/r**0*r*r)*r*r*r/((r*r/(((r/(r/(r*r*r*r**(-5/6)/r*r*r)))/r)/r))/r))/(r**(-4)/r*r**(-9)*r) assuming r is positive.
r**(91/6)
Simplify ((a*((a/(a**(1/2)/a*a))/a)/a)/a)**(2/7)/(a/a**(1/4))**(10/7) assuming a is positive.
a**(-3/2)
Simplify (((l*l**(5/3))/l*(l/(l/(l/(l*l/(l/((l/l**1)/l))))))/l)**39)**(-30) assuming l is positive.
l**(-1950)
Simplify (((p*(p**(-10)*p)/p*p)/p**10)**43)**(-2/3) assuming p is positive.
p**516
Simplify (m**(-20)/m)/m**4*((m*((m*m**(-5/4))/m*m*m)/m)/m*m)/m**(-13) assuming m is positive.
m**(-45/4)
Simplify ((v**4*v**1)/(v**(1/4))**(-25))**(-12) assuming v is positive.
v**(-135)
Simplify (f**1*f/(f*f*f/(f**(-8)/f)*f))/((f/(f*f**2))/f**9) assuming f is positive.
1
Simplify (b**(-2/11)*b)**(-2/13)*b*b*b/((b**(2/61)/b)/b)*b**(-2/59) assuming b is positive.
b**(2474183/514657)
Simplify ((s*(s/(s**13/s))/s*s*s)/s**(13/2))/((s**17*s)/(s**(-5/7)*s)) assuming s is positive.
s**(-465/14)
Simplify (o**8/((o/(o/(o/o**(-15))))/o))/(o**(-1/2))**(-15) assuming o is positive.
o**(-29/2)
Simplify (c**1*c**(-6/11)/c*c*c)/((c**0*c)/c**(2/25)) assuming c is positive.
c**(147/275)
Simplify q**(-12)*q**(-6)*q**(-1/18)*q**(-1/22) assuming q is positive.
q**(-1792/99)
Simplify ((l*l**10)/l)/l**(18/5)*(l/l**(-13))**(2/175) assuming l is positive.
l**(164/25)
Simplify ((s**7/s*s*s)/(s/(s**(1/2)*s)*s))/(s**(-4/9)*(s*s*s**(4/3)*s)/s) assuming s is positive.
s**(83/18)
Simplify ((g/g**(-21)*g*g*g/(g*g**(-11)*g*g*g*g))**(-6))**(5/8) assuming g is positive.
g**(-465/4)
Simplify ((u*u*u/(u/(u**(-2)/u))*u*u*u)**11*(u**(-4)/u)**(2/21))**15 assuming u is positive.
u**(2260/7)
Simplify (p/(p**31/p)*p**(-4/11))**(-45) assuming p is positive.
p**(14535/11)
Simplify g**(-3)/(g**(-6)*g)*(g**(1/2))**27 assuming g is positive.
g**(31/2)
Simplify j**(7/5)/(j*j**(6/5))*j**9/(j*j**(-3/16)) assuming j is positive.
j**(591/80)
Simplify ((((k*k/(k**(-4)*k))/k)/(k/(k/(k*k**9*k*k))))**(-5/6))**(2/31) assuming k is positive.
k**(40/93)
Simplify ((h/(h/((((h*h**(7/3)/h)/h)/h)/h*h))*h)/(h**9/h)*h**(2/15)*h**(-1/20)/h)**(2/33) assuming h is positive.
h**(-91/198)
Simplify (u*u**(-2/5))**(-2/33)*u**(6/5)*u/((u*u**(-11)*u*u)/u)*u assuming u is positive.
u**(669/55)
Simplify (z**4*(z/(z*z**(2/23)))/z)/(z**(-1/17)/(z*(z*z**(-3/8))/z)) assuming z is positive.
z**(11251/3128)
Simplify (((n*(n*(n*n/n**(4/3))/n*n)/n*n)/n)/(n*n/(n**(-19)/n)))/(n**(-3)*n*(n*n**(19/2))/n) assuming n is positive.
n**(-167/6)
Simplify (((m*m/m**(-2/21))/m)/m**(-27))**(2/13) assuming m is positive.
m**(1180/273)
Simplify n*n*n/n**(7/5)*n**4*n*n**(-18/11)/n**(-21) assuming n is positive.
n**(1428/55)
Simplify (q/((q/q**14)/q)*q**(2/37))/(q/q**(-8))**49 assuming q is positive.
q**(-15760/37)
Simplify (x**(-3/4)/x*x*x**19)/(x**(1/7)*x**(14/5)) assuming x is positive.
x**(2143/140)
Simplify (h*h**7/h*(h/(h*h**(2/29)*h))/h)/((h**(-1)/h)/(h**(-2/13)/h)) assuming h is positive.
h**(2178/377)
Simplify (v**(-5))**(-4/17)*((v/v**12)/v)/v*v**(10/3)*v assuming v is positive.
v**(-382/51)
Simplify ((n**(-17)*n)/((n/((n*n**16*n)/n))/n))/((n*n**(-4/5))/(n*n**14)) assuming n is positive.
n**(79/5)
Simplify ((l*l**(-23)/l)/l**(-5/3))/(l**(-30)*l*l*l*l*l/(l**3*l)) assuming l is positive.
l**(23/3)
Simplify ((j/(j*j**(1/8)))/((j/j**(-9)*j)/j))/(j*j/(j*j**(1/11))*j/(j/j**(-2/31))) assuming j
|
{
"pile_set_name": "DM Mathematics"
}
|
- w/5. Solve 1 = d - a*q, -4*d + 3*q = -q - 12 for d.
4
Suppose -w = -5*w. Let k(r) = r + 3. Let c be k(-3). Suppose -2*j + 3 + 1 = c. Solve w = -2*p + 2*y + 6, j*p - y - 1 - 7 = 0 for p.
5
Suppose 0*g = 3*g. Suppose 2*d - 21 - 17 = g. Solve -3*v + 0*v = -5*t + d, -4*t = v - 5 for v.
-3
Suppose -r = 3*f + 15 - 3, 4*f + 23 = r. Let q be -6*(18/(-4))/(-3). Let k = -9 - q. Solve r*y - 4 = -5*d, -3 = -y - k for d.
-1
Suppose 0 = -r - 1, -4*k - 15 = k - 5*r. Let p be (k/5)/((-2)/10). Solve 4*x + 20 = 4*q, 0*x + 3*x + 19 = p*q for q.
4
Let a be (18/(-10))/(6/(-20)). Let i be ((-4)/a)/((-1)/3). Solve -2*k + 3*x - 18 = 0, 0*k - i*k + 5*x - 26 = 0 for k.
-3
Let k = -7 + 11. Solve -4*v - 8 = -k*z, 2*v + 0*z - 26 = -4*z for v.
3
Suppose 2*f = -0*f + 10. Suppose f*c = 5*g + 41 + 74, 4*c = -g + 92. Solve 5*s + 4*v - 29 = 0, -5*s + 0*s + c = -2*v for s.
5
Let u = 0 - -4. Let x be ((-6)/u)/(-3)*6. Solve -5*y = 4*h - 11, x*h + 2*h = -5 for y.
3
Let m(p) = -p**2 - 3*p + 4. Let u be m(-3). Suppose -v - 2*v = 0. Suppose v = 5*c + 2*w - 28, -u*w = -2*c - w + 15. Solve n + 2*f = -n, 0 = 2*f + c for n.
3
Suppose -s - s + 26 = 0. Let m = -11 + s. Solve m*g - 2*l + 6 = 0, -2*l - 5 = g - 4*l for g.
-1
Let c = 143 + -140. Solve 4*g - c - 13 = 0, -4*g + 20 = -4*u for u.
-1
Let b be 2*(-1 + 27/6). Suppose 0 = -6*d + b*d - 5. Solve 0*l - 15 = l + 5*s, -d*l = s + 27 for l.
-5
Suppose 4*y + 5 = 5*y. Solve 0 = -b - 5*o + 8, 5*b = 3*b - y*o + 6 for b.
-2
Suppose 0 = -17*y + 50 - 16. Solve n + q - 3 = 4*n, y*n - q + 1 = 0 for n.
-2
Suppose -3*n + 2*n - h + 2 = 0, 0 = -2*h - 6. Let g(i) = -i + 9. Let k be g(10). Let x = k + n. Solve -2*d + 3*y + 25 = 0, x*d = 3*y + 22 + 13 for d.
5
Let o = -3 - -6. Solve -o*v + 5*v + 3*h = 13, 3*h = -3*v + 18 for v.
5
Suppose j - 3*j = 4. Suppose 0 = 5*d - 3*d - 8. Let v = d + j. Solve -9 = -v*k - 5*l, l + 10 = 4*k + 3*l for k.
2
Suppose 4*t + 13 = -5*w, 13 + 4 = -t - 4*w. Solve 2*d = -3*k + 2, -3*k + t = 2*k + 3*d for k.
0
Let i = -1 + 4. Suppose i*n - 15 = -2*t + 3*t, -4*n - 3*t + 20 = 0. Solve 6 = 2*l - 4*g + 14, -n*g + 4 = -4*l for l.
4
Let h(o) = -15 + 0*o**2 + o**2 + 0*o + 10*o. Let y = 30 + -42. Let t be h(y). Solve v + 2*q - t = 0, 0*q = 2*v - q - 3 for v.
3
Let v(w) = 10*w - 4. Let r be v(1). Solve q = l, -5*l = 5*q - 4*q - r for q.
1
Let z = -45 - -54. Solve n + z = -2*g, -n + 3*g + 3 = -3 for n.
-3
Let t(s) = 3*s**2 + s - 1. Let u be t(1). Suppose -u*o + 4*z = -7, o + 0 + 3 = 4*z. Solve 2*x - h + o = -2*h, 4*h - 20 = 0 for x.
-5
Let s = 39 + -12. Let y be (-58)/(-3) + 18/s. Solve -4*m + y = -2*d, 5*d = -m - 3*m + 6 for d.
-2
Let x = 37 + -16. Let d = x - 20. Solve q + 5*h = -6, h = 5*q + 3 + d for q.
-1
Suppose 3*w + 4*r = 3*r + 5, 3*w - 3 = -3*r. Suppose w*m - 40 = -2*m. Solve 3*q + 2 = g + 2*q, -g + m = -5*q for g.
0
Let p(t) = 0*t**2 - 9 + t**2 - 2 - t**3 + t. Let u be p(0). Let j = 16 + u. Solve -j*r - 8 = -4*d, -3*d + d - 2 = -r for r.
-4
Let z = -3 + 6. Let x be (2 - z) + 7 - 1. Solve -4*b = 4*t - 28, 0*t - x = -2*b + t for b.
4
Suppose 5 = -5*z - 7*a + 2*a, 0 = -2*a - 10. Solve -4*w = -i + 7 - 0, -2*i - z*w - 10 = 0 for i.
-1
Let x = 0 - -5. Let u = -6 + 16. Let i = u + -7. Solve -x*r + 8 = -i*p - 5, -p = -5*r + 11 for r.
2
Let o be (-1)/(-4) + (-4)/16. Solve 2*u = -n + 4 - 0, -4*n = o for u.
2
Let c(z) = z**2 - 7*z - 5. Let m be c(8). Solve 0 = 2*h - m*b - 0 - 5, -5*h + 4*b + 9 = 0 for h.
1
Suppose 9*g = 5*g + 28. Solve 8*f - 3*f - 2*y = 5, -2*y + g = -f for f.
3
Suppose 2*m - 46 + 38 = 0. Solve -m*i - 4 = -2*y - 14, 15 = 4*i - y for i.
5
Let n be -6*2*2/(-8). Suppose q + q - n*b = 1, 4*b = -3*q + 44. Suppose -2*k + k + q = 0. Solve 5*m - c = 29, 8 = -4*c - k for m.
5
Let x be 2/(-4)*(-2 + -6). Let o be (6/x)/(9/12). Solve -7 = 3*u - 4*k + 4, o*u + 5 = 5*k for u.
-5
Let p(l) = 3*l - 1. Let b be p(7). Suppose -8*u
|
{
"pile_set_name": "DM Mathematics"
}
|
-1/2
Put 2, -2, 46, 3, -4, 1 in decreasing order.
46, 3, 2, 1, -2, -4
Sort -5, 8, 5/4, 171 in descending order.
171, 8, 5/4, -5
Sort 2, 5, -193, -1, 25, -38.
-193, -38, -1, 2, 5, 25
Sort 3, 108, -4, -0.1.
-4, -0.1, 3, 108
Sort -47, 0.5, 4, 6/5, -1/4 in ascending order.
-47, -1/4, 0.5, 6/5, 4
Put 2/25, 0.3, 3, -6/17, -17 in decreasing order.
3, 0.3, 2/25, -6/17, -17
Put 436, 53, 1 in decreasing order.
436, 53, 1
Sort -2, -7317, 14.
-7317, -2, 14
Sort -3, -430440, 4.
-430440, -3, 4
Sort 52, 1, -7 in increasing order.
-7, 1, 52
Sort 6, -1, -61, 2, -7 in descending order.
6, 2, -1, -7, -61
Sort -1, -3, 9, -32, 2.
-32, -3, -1, 2, 9
Put -2, 2, -0.103, 5, 17 in decreasing order.
17, 5, 2, -0.103, -2
Put -277, 1/4, 11 in descending order.
11, 1/4, -277
Put 17, 2, -7, -4, 65 in decreasing order.
65, 17, 2, -4, -7
Sort -1, -525, -8, 5 in descending order.
5, -1, -8, -525
Sort 8/7, -8/11, 0 in increasing order.
-8/11, 0, 8/7
Sort 2.2, -24, 0.4, 0.2, -26.
-26, -24, 0.2, 0.4, 2.2
Put 29, -224, 0, 5, -1 in increasing order.
-224, -1, 0, 5, 29
Put -4, 2, 3, -2, -5, -141 in descending order.
3, 2, -2, -4, -5, -141
Sort 0.5, 0.15, -2/17, -19, 6, -1 in descending order.
6, 0.5, 0.15, -2/17, -1, -19
Put -0.3, 1/5, 3, 1/459, 2 in descending order.
3, 2, 1/5, 1/459, -0.3
Put -4, 0.86, 4 in decreasing order.
4, 0.86, -4
Put 2/9, 4/3, -12/5 in increasing order.
-12/5, 2/9, 4/3
Sort -1, 1, 838, 5, 0, 4 in decreasing order.
838, 5, 4, 1, 0, -1
Sort 46.1, 8.4, 2, 1/5.
1/5, 2, 8.4, 46.1
Put -1, -569, -6 in ascending order.
-569, -6, -1
Put -4, 41, 2, 214 in descending order.
214, 41, 2, -4
Put -8, 8, -2 in ascending order.
-8, -2, 8
Sort 0.3, 1/13, -3/5, 40, -0.2, 0.4 in increasing order.
-3/5, -0.2, 1/13, 0.3, 0.4, 40
Sort 0, 9, 2/87 in decreasing order.
9, 2/87, 0
Sort -0.1, 0.2, 544, -3, -5, -3/5 in increasing order.
-5, -3, -3/5, -0.1, 0.2, 544
Put 6, -1/1408, 1060 in decreasing order.
1060, 6, -1/1408
Put 78, 2, -5, 0, -58 in decreasing order.
78, 2, 0, -5, -58
Sort -1/4, 1/3, -2, -5 in increasing order.
-5, -2, -1/4, 1/3
Sort 16, 46, 62 in decreasing order.
62, 46, 16
Sort -35, -2, -75, 5 in increasing order.
-75, -35, -2, 5
Sort 1, -0.5, 3, -365 in ascending order.
-365, -0.5, 1, 3
Sort -10192, -3, 1, -4 in decreasing order.
1, -3, -4, -10192
Sort -3, 5, 3, 25312 in decreasing order.
25312, 5, 3, -3
Sort 4, -0.1, 182.98 in descending order.
182.98, 4, -0.1
Sort -2, 4, 83312, 2 in descending order.
83312, 4, 2, -2
Sort -2.9, -2, -93, -4/7, -10 in ascending order.
-93, -10, -2.9, -2, -4/7
Sort 0.4, -2, 22, 3, -0.004.
-2, -0.004, 0.4, 3, 22
Sort 10, 107, 2, 12 in ascending order.
2, 10, 12, 107
Put -1/5, -0.5, -13, -5/4, -5 in increasing order.
-13, -5, -5/4, -0.5, -1/5
Sort -18, 0.3, -6, -952.
-952, -18, -6, 0.3
Sort 0.5, -0.1, -2382, 0.4, 0 in decreasing order.
0.5, 0.4, 0, -0.1, -2382
Put 163, 7, 3, 13 in descending order.
163, 13, 7, 3
Sort -2, -39/4, 3, 25, 0.5, 5 in increasing order.
-39/4, -2, 0.5, 3, 5, 25
Sort 1/2, 127/2, -4, 10, -1, 2 in decreasing order.
127/2, 10, 2, 1/2, -1, -4
Sort -2, 2/5, -11350, 1/3 in decreasing order.
2/5, 1/3, -2, -11350
Sort -16, 381, 7, -4 in increasing order.
-16, -4, 7, 381
Sort -3/4, -0.3, 20, -120, -2/7 in descending order.
20, -2/7, -0.3, -3/4, -120
Sort -1/7, -0.001, -1.24, -0.6.
-1.24, -0.6, -1/7, -0.001
Put -4.7, 24.1, -5 in ascending order.
-5, -4.7, 24.1
Sort -4, 2/11, 0.8, -2/25, -367/4.
-367/4, -4, -2/25, 2/11, 0.8
Put 5, -3, -5, 519, -17 in descending order.
519, 5, -3, -5, -17
Put 49, 0.02, -0.08 in decreasing order.
49, 0.02, -0.08
Sort 5, 2, 81, -10 in decreasing order.
81, 5, 2, -10
Sort 85, 10, 1, -4, -3, 5 in increasing order.
-4, -3, 1, 5, 10, 85
Put -5, -1298, -2, -3 in descending order.
-2, -3, -5, -1298
Put 39, -63.9, 4 in descending order.
39, 4, -63.9
Sort 1/2, 3/4, -0.3, -2/7, 8.3 in decreasing order.
8.3, 3/4, 1/2, -2/7, -0.3
Put -2/13, -2, -1, -438, -6/11 in decreasing order.
-2/13, -6/11, -1, -2, -438
|
{
"pile_set_name": "DM Mathematics"
}
|
mon divisor of 7 and p?
7
Let x(r) = r**3 - 3*r**2 + 2*r + 4. Let n be x(3). Calculate the greatest common divisor of n and 2.
2
Let y be (-20 - 24)*(1 + 0)/(-1). Calculate the greatest common divisor of y and 22.
22
Suppose f - 6*f = -5*t + 60, 5*t - 4*f = 60. Let v = 17 - t. Calculate the greatest common divisor of 25 and v.
5
Suppose 0 = -5*j, 2*p + 8 = 3*j + 2. Let f be 56 + (-3)/9*p. Suppose -d = z - 18, -d - 2*d = 4*z - 73. What is the greatest common divisor of f and z?
19
Let o(y) = y**2 - 2*y + 2. Let c be o(2). Let a(s) = 36*s + 5 - 1 - 4. Let z be a(c). What is the greatest common divisor of 9 and z?
9
Let u = 37 - 7. Calculate the greatest common divisor of u and 60.
30
Let x(i) = i**3 - i**2 - i - 1. Let d be x(3). Calculate the highest common divisor of d and 70.
14
Let z be 146/2 + 9 + -6. Calculate the greatest common factor of 38 and z.
38
Let z(p) = -p**3 + 8*p**2 - 7*p - 1. Let j be z(5). What is the greatest common divisor of 91 and j?
13
Let u = -2 - -6. Suppose 5*q + f - 77 = -3*f, 2*f = -u*q + 64. Suppose 4 = -v + q. What is the highest common divisor of v and 26?
13
Suppose 4*q = 16, -5*t + 35 = -0*q - 5*q. Let f = -52 - -96. Suppose 5*w - w = f. What is the greatest common factor of w and t?
11
Let p = 20 - 18. Let f = p - -22. Calculate the greatest common factor of 120 and f.
24
Suppose -2*p - 4*m + 45 = 11, 5*p = -5*m + 60. What is the highest common divisor of p and 28?
7
Let n = 6 - -2. Let c be (4/(-3))/(6/(-378)). Suppose 5*z = x - 0*z - c, -68 = -x + z. Calculate the highest common divisor of x and n.
8
Let v = -11 - -44. Let o = -18 + v. What is the highest common factor of 135 and o?
15
Let w be (-141 - 2)/(-1 + 0). Let f(x) = 2*x - 1. Let i(z) = -7*z + 2. Let p(y) = 8*f(y) + 3*i(y). Let h be p(-3). What is the highest common factor of h and w?
13
Let f(m) = 25*m + 1. Let l be f(5). Let z be 2*(-1)/(4/(-50)). Let h = z - 11. What is the highest common factor of h and l?
14
Let v be (-300)/9*9/(-2). Suppose 3*h - 55 + 10 = 0. Calculate the highest common factor of v and h.
15
Let m be (60/35)/((-3)/(-21)). Let n = 14 - m. Calculate the highest common divisor of n and 6.
2
Suppose 3*v + 0*v = 9. Let n be 321/12 - (-2)/8. What is the highest common factor of n and v?
3
Let a be (-4)/(16/(-12))*1. Let z(p) = 2*p**3 + 4*p**2 - 2*p. Let s be z(a). Calculate the greatest common factor of s and 14.
14
Let c be 4/6 + 32/6. Suppose 5*i - 24 = 6. Let u be ((-1)/(-2))/(1/i). Calculate the highest common factor of c and u.
3
Let r = 84 + -54. Calculate the greatest common divisor of 10 and r.
10
Let t = -45 - -47. Calculate the highest common divisor of 14 and t.
2
Let m(r) = 2*r**3 - 3*r**2 + r + 1. Let p be m(4). Suppose -4*i - p = -349. What is the highest common divisor of i and 6?
6
Let c be ((-2)/(-4))/((-2)/4) - -16. What is the greatest common factor of c and 3?
3
Suppose -4 = -0*a + 2*a. Let s be a*3/(-2) + 41. Let t be 1*(-1)/((-2)/22). What is the greatest common divisor of s and t?
11
Suppose 0 = -d - 6 + 22. Calculate the highest common factor of 48 and d.
16
Let s = 0 + 21. Calculate the greatest common factor of 14 and s.
7
Let p = 49 - -66. Suppose -12*r = -5 - 271. What is the highest common factor of p and r?
23
Suppose -f = -27 + 25. Let s be (-1 - 12)/(-1) - -1. What is the highest common divisor of s and f?
2
Suppose -5*p + 3*p + 12 = 0. Let x = p + -2. Suppose -x*d = 3*l + d + 7, 0 = 4*l - 3*d - 39. What is the greatest common divisor of l and 15?
3
Let v = 15 - -8. Let y = 612 + -405. Calculate the greatest common divisor of y and v.
23
Let x be -3*(-2)/(-2) + 344. What is the highest common divisor of 31 and x?
31
Let h(f) = -f**2 + 2*f + 1. Let o be h(3). Let z be (o/3)/(1/(-9)). Suppose 0 = -2*k + 105 + 27. What is the greatest common factor of k and z?
6
Suppose 0 = -10*d + 4*d + 96. Calculate the highest common factor of d and 128.
16
Let k(o) be the first derivative of 5*o**3 + o + 3. Let s be k(-1). Calculate the greatest common divisor of 4 and s.
4
Let r = -1 + 2. Suppose c - 2 - r = 0. Suppose 0 = y - c*y + 150. What is the greatest common divisor of 30 and y?
15
Let s = -72 - -104. Suppose -124 = -2*a - 34. Suppose -3*l - 2*x = 2 - 44, -3*l - x = -a. Calculate the highest common factor of l and s.
16
Let t be 1/(-1 + 1*2). Let h be 3 + (-1 - 4) - -2. Let a be h + 9 + (8 - 6). Calculate the highest common factor of a and t.
1
Let n = 16 - 19. Let v be 120/(-16)*4/n. What is the greatest common factor of v and 70?
10
Suppose 0 = 2*y + 2, -3*f - f - 5*y = -15. Let j = 15 + -17. Let g = j + f. Calculate the greatest common factor of 33 and g.
3
Suppose -2*z + 587 - 227 = 0. Calculate the greatest common divisor of z and 10.
10
Let h(p) = -27*p - 6. Let z be h(-1). Calculate the greatest common factor of 3 and z.
3
Let n be (40/(-6))/((-2)/33). Suppose -15 = -3*x, 0 = 5*g - 0*x + 5*x - n. Let i = g - -19. Calculate the highest common factor of i and 18.
18
Suppose -v - 2*v = 4*c + 100, -v - 2*c = 30. Let j be (10/(-4))/(4/v). What is the greatest common factor of 75 and j?
25
Let x be (3 + -4)*1*0. Let h(q) = q + 34. Let u be h(x). What is the greatest common factor of 51 and u?
17
Let n(o) = o**3 + 6*o**2 - 3*o + 7. Let b be n(-6). Let a = 237 - 137. What is the highest common factor of a and b?
25
Suppose 4*w = 4, -3*d + 22*w - 20*w + 88 = 0. Calculate the greatest common factor of d and 165.
15
Let p = 8 - 5. Suppose 216 = 4
|
{
"pile_set_name": "DM Mathematics"
}
|
2)))/((-2)/(-180)).
45/2
Evaluate (-2240)/160*5/10.
-7
What is the value of ((-2074)/(-306))/61*495?
55
Evaluate (((-13950)/525)/(-186))/(2/(-84)).
-6
Evaluate 133/(-121296)*-76*-100.
-25/3
(2847/6)/(2353/362)
73
What is (14/21)/((100/1020)/(15/(-6)))?
-17
Evaluate (507/(-9295))/(36*2/44).
-1/30
Calculate (-115)/(55775/(-3977))*(-1)/(-1).
41/5
What is (-20*7/(-35))/(5/(105/(-14)))?
-6
Calculate (((-144)/1880)/(-9))/((-25)/(625/(-5))).
2/47
9/(-12)*-2*2642/(-455745)*-2
2/115
Calculate 3/(-11)*967736/(-28278).
28/3
What is (2/8*-37)/(45/((-7560)/42))?
37
-6*(-19)/(171/(-6))*25/8550
-2/171
What is (-11*(-2)/(-90))/((-116)/((-93960)/(-162)))?
11/9
What is the value of (-512655)/(-2151)*9/(-33)?
-65
Calculate (-1068)/2136*(9/(-42))/(-1).
-3/28
What is the value of ((-105)/140*(-78)/(-9)*-4)/((-12)/18)?
-39
What is the value of ((-22)/(-110))/((-799)/680)*(-1)/(-12)?
-2/141
What is the value of (46/14)/(((-45)/42)/(-15))?
46
Evaluate ((-111)/(-6290)*-17)/(30/16).
-4/25
Evaluate ((-253)/759*3/(-2)*1)/(21/18).
3/7
What is the value of ((-3)/(-6))/(-22*1/6)*688/(-344)?
3/11
Calculate ((-82)/((-820)/(-475)))/(15/(-12)).
38
(2/12)/((8/96)/(80/(-64)))
-5/2
What is (24/(-8))/(((1974/(-235))/21)/((-6)/5))?
-9
Calculate -2*((41/369)/((-1)/9))/(4/308).
154
Calculate 72*((-4209)/(-488))/(-23).
-27
Evaluate ((-165)/44)/(100/720*-333).
3/37
Evaluate -6*(-50)/(-120)*308/70.
-11
Evaluate -1*((-6)/(-8))/1*4145152/48576.
-64
Calculate (5/(-9))/((-74400)/4464).
1/30
((-2288)/110)/((-9776)/45120)
96
Calculate (-18)/9*3*(-247)/(-26).
-57
What is the value of -3*64/(-9)*30/35*(-182)/104?
-32
Evaluate 1*(-3)/4*48/(-126)*272904/68226.
8/7
-19*(3312/(-4560))/(-69)
-1/5
Calculate (2*2)/(924932/(-2927)).
-1/79
What is the value of (-4901)/4147*2*2*(-33)/6?
26
Calculate (16*(592/(-96))/(-37))/(12/27).
6
What is the value of 1/(-2)*(-420)/280*-3*(-4)/(-2)?
-9/2
1/2*((-15)/12)/(1925/2640)
-6/7
What is (-280)/660*(-4752)/4536?
4/9
Calculate 21*((-130)/(-13))/(42/(-49)*7).
-35
Evaluate (258/(-12814))/((20/30)/(4/(-9))).
2/149
What is -10*((-15)/(-25)*89/(-89))/(4/10)?
15
2/14*((-14)/22)/(988/2717)*-92
23
What is the value of -6*1/(-2)*42/(22680/(-1044))*-5?
29
What is 162/6102*82/123?
2/113
What is the value of ((-514)/(-514))/(-1*15*1*5)?
-1/75
Evaluate (-21)/(-12)*240/(-2940)*-238.
34
Calculate 16/(8736/(-14))*2.
-2/39
What is the value of (((-1)/2)/((-15)/(-3825)*10))/((-32)/128)?
51
What is ((-4)/(-6))/(6/24*-1*(-872)/12426)?
38
((-2)/8)/(-8*(-3)/6*(-1435)/1640)
1/14
What is the value of (-3080)/(98/7)*31/124?
-55
Calculate (((-32)/(-42))/(-4))/(3486/57519).
-22/7
Calculate 21/42*48/(-40)*25*(-12)/16.
45/4
What is 1*((-4)/35)/(-4)*(-28910)/34692?
-1/42
What is the value of ((-12)/(-3))/(213/(656040/160))?
77
What is (320/1400)/((-29)/203)?
-8/5
Calculate ((52/(-182))/(6/24))/((-5)/((-770)/(-4))).
44
Calculate ((-9*28/(-3150))/(106/1113))/((-9)/(-5)).
7/15
What is the value of (-6300)/14*((-15)/50)/((-24)/(-16))?
90
Calculate 39/104*(-4160)/195.
-8
What is ((-11)/3)/((-328394)/(-7788))?
-2/23
Calculate (-13)/((-39)/10)*54/2010*(-68)/204.
-2/67
Evaluate (825/550)/(10*6/72).
9/5
What is the value of ((-713)/2139)/((-2)/(-438))?
-73
Evaluate 50/(3300/429)*16/(-36).
-26/9
((-6)/50)/(3873/(-129100))
4
What is the value of (-3)/(-2)*(4/(-22))/((-75336)/(-7568))?
-2/73
What is ((-1735)/(-1388))/(-3*30/(-2952))?
41
Evaluate (13/10*-4)/(((-879)/3516)/(15/4)).
78
(340/238)/((10/126)/(55/(-66)))
-15
Evaluate 15*(-285)/2375*-40.
72
What is ((-38)/(-4))/((-23788)/(-30048))?
12
What is the value of (((-25350)/225)/(-169))/(((-28)/(-6))/1)?
1/7
What is the value of 150/(-4)*(-41592)/(-467910)?
-10/3
(((-3)/(-3))/3)/(376/(-13536))
-12
What is 1/(-12)*(-5)/(-2)*68024/15460?
-11/12
Calculate (-2*7/455)/(((-133)/798)/(10/(-6))).
-4/13
What is the value of (-666)/(-1554)*147/7*(34/(-3))/2?
-51
What is (-2)/(((-13)/52)/((-312)/(-48)))?
52
(7/(-6))/((33/(-792)*30)/(10/4))
7/3
What is (394/2167)/(1/(-198))?
-36
((3/3*9/(-9))/(60/2040))/1
-34
What is the value of ((-6)/45)/((-9)/(-81))*(-8)/((-80)/175)?
-21
((-63)/(-2))/(-63)*-14*18/(-3)
-42
What is ((-155)/((-55800)/240))/((-3)/((-1422)/4))?
79
(-1)/((33/(-44))/((-21)/238))
-2/17
Calculate 6/5*140/2604.
2/31
Calculate (-1)/(((-990)/660)/(305/20*-6)).
-61
Calculate (120/290)/(245/(-1421)).
-12/5
((-18)/14)/((-6)/48*8)
9/7
Calculate 20*55/((-17875)/780).
-48
Calculate (4452/12243)/((-114)/198*-6).
2/19
Evaluate (-7)/266*60/(-9)*(-49)/((-2450)/(-30)).
-2/19
(-10)/32*((-1110)/25)/37
3/8
Calculate (-14)/8*36/56*-8.
9
What is ((-22680)/(-54))/84*2/20*-43*2?
-43
What is ((-51)/(-4))/(610/(-488)*(-6)/(-30))?
-51
(46*-1)/(((-1)/((-42)/(-7)))/((-6)/36))
-46
What is the value of ((-4)/(-16))/((21045/244)/69)?
1/5
Evaluate ((-2135
|
{
"pile_set_name": "DM Mathematics"
}
|
re the prime factors of r?
3
Suppose 5*o + 214 = 2*x, -o + 591 = 5*x + 83. What are the prime factors of x?
2, 3, 17
Suppose 0 = -3*t + 112 - 7. Suppose -k + 4 = -5*h + t, -h - k = -11. Let q(j) = -j**2 + 8*j + 6. What are the prime factors of q(h)?
13
Suppose 0 = 5*x + 5*a - 655, 5*x + 6*a - 640 = 4*a. What are the prime factors of x?
2, 3, 7
Let g(j) = -3*j**3 + 3. What are the prime factors of g(-2)?
3
Let f(i) = i**2 - 8*i + 10. Let b be f(7). Suppose -2*t - 15 = b. What are the prime factors of (-2)/t - 170/(-45)?
2
Let l = 0 - -20. Let z(g) = -g**2 - 10*g - 6. Let r be z(-8). Let t = l - r. List the prime factors of t.
2, 5
Let m(y) = 3*y**2 - 22*y + 18. List the prime factors of m(8).
2, 17
What are the prime factors of (-6)/10 - 1936/(-10)?
193
Let m be ((-1)/2)/((-3)/12). Suppose -m*p = 2*p - 16. Let x = p - 0. List the prime factors of x.
2
Let h(r) be the second derivative of r**4/12 + r**3/6 - 2*r. What are the prime factors of h(-2)?
2
Let k(d) = 10*d - 1. Let z be k(7). Suppose -z - 91 = -4*g. List the prime factors of g.
2, 5
Let w be (10/4)/((-7)/14). Let j(b) be the second derivative of -b**3/3 + 2*b**2 - b. What are the prime factors of j(w)?
2, 7
Let l be ((-23)/(-2))/(14/(-28)). Let c = l - -47. List the prime factors of c.
2, 3
Suppose -2*f - 42 = -5*f. Suppose -f = 2*a - 4*a. List the prime factors of a.
7
Suppose 5*d - 2*s + 6 = 0, 2*s = -4*d + 2 + 4. Let i(x) be the third derivative of -x**5/60 + x**4/24 + 2*x**3 + 4*x**2. List the prime factors of i(d).
2, 3
Let a = 77 + 27. List the prime factors of 1*a/(-12)*-3.
2, 13
Let m be 2/(-5) - (-2)/5. Suppose m = -2*h - 3 + 9. Suppose -h*n + 28 = n. What are the prime factors of n?
7
Let s(o) = -o**3 + 6*o**2 - 3*o - 3. Let j be s(5). Suppose 2 = y - h, -4*y + 4 = -h - j. Let k = 8 + y. List the prime factors of k.
11
Let x(b) = 0 - b**2 - b + 3 + 0*b**2 + 16. Suppose 0 = 5*q - 10, -3*q - 2*q + 10 = -3*w. What are the prime factors of x(w)?
19
Let n(l) = l**3 - l**2 - 2*l + 7. List the prime factors of n(3).
19
Suppose -2*y + 3*y = -2*k + 13, 4*k = -8. List the prime factors of y.
17
Suppose -2*t + 49 = -71. List the prime factors of t.
2, 3, 5
Suppose -3*p + 23 = 5*y, 4 = 3*y + 1. Suppose -n + p = -9. Suppose 3*o + v - 2*v = 12, 0 = 3*o - 2*v - n. What are the prime factors of o?
3
Suppose 0 = 3*u + 41 - 425. List the prime factors of u.
2
Let p = 604 - 168. List the prime factors of p.
2, 109
Let p(s) = -s**3 + 8*s**2 + 6*s - 3. Let r be p(8). Let k = 92 - r. Suppose 4*w - k + 3 = 0. What are the prime factors of w?
11
Let l = 11 - 3. List the prime factors of l.
2
List the prime factors of -314*(-2)/8*2.
157
Let k = -2 - -5. Suppose k = s - 2. What are the prime factors of s?
5
Suppose 20 = 3*a + a + 4*t, -5*a + 25 = t. Suppose 0 = -a*r + 3*r + 74. What are the prime factors of r?
37
Let f(o) = -2*o + 3. What are the prime factors of f(-4)?
11
Suppose 3*q - 6 = -0*q. Suppose q*c = 4, -34 = -4*x - 5*c + 24. What are the prime factors of x?
2, 3
Suppose -3*a - 2*l = 2*a - 10, 2*a + 3*l = -7. What are the prime factors of 24/16 + 86/a?
23
Let o be (-6)/4 - (-9)/6. Suppose o = -3*f + v + 58, -4*v = -4*f + f + 43. What are the prime factors of f?
3, 7
List the prime factors of 5/((-10)/(-8)) - -4.
2
Suppose 5*h = 2*r - 6*r + 8, -4 = h. What are the prime factors of r?
7
Suppose 4*r = -5*a + 197, 3*a + 5*r - 163 = -a. What are the prime factors of a?
37
Suppose 3*x = x + 30. Let w be (-112)/(-10) - 3/x. Let o = 20 - w. List the prime factors of o.
3
Let l(a) = a**2 - 5*a - 1. Let i be l(4). Let p(c) be the first derivative of -c**3/3 - 7*c**2/2 - 5*c - 1. List the prime factors of p(i).
5
Let u = -38 - -74. Suppose 8 = 4*a - u. Suppose 0 = -l + a. List the prime factors of l.
11
Let l(o) = 2*o**2 - 11*o - 7. Let m(s) = -3*s**2 + 11*s + 6. Let k(g) = 4*l(g) + 3*m(g). List the prime factors of k(-8).
2, 7
Let b(h) = -4*h**3 + 11*h**2 + 11*h - 11. Let v(c) = 5*c**3 - 12*c**2 - 11*c + 11. Let i(y) = 4*b(y) + 3*v(y). What are the prime factors of i(9)?
7
Suppose -3*k + 45 = -72. List the prime factors of k.
3, 13
Suppose -13*j + 17*j - 676 = 0. What are the prime factors of j?
13
Let d(c) = -4*c + 7. Let j(y) = y**3 - 5*y**2 - 6*y - 5. Let i be j(6). List the prime factors of d(i).
3
Suppose 4*q - 20 = -n, -5 = 5*q - 6*q + 3*n. Suppose -q*o + 4 + 1 = 0. List the prime factors of (24 - 3) + 2 - o.
2, 11
Let s(y) = 2*y**2 + 3*y - 3. Let g be s(-4). Let v = g + -6. What are the prime factors of v?
11
Let t = -1 - -4. Suppose 4*o + t*f = -44, 0*o = -o + 4*f + 8. What are the prime factors of (16/10)/(o/(-60))?
2, 3
Suppose 0*w = -3*w + 12. Suppose 4*z + z = 5*c - 55, 2*c - w*z - 30
|
{
"pile_set_name": "DM Mathematics"
}
|
is the closest to -12? (a) 3/4 (b) -1/6 (c) x (d) 5
c
Let k = -335 - -335.4. Which is the closest to -0.4? (a) k (b) 0 (c) 1/9
b
Let r be (1/9)/((-16)/(-72)). Let k = -6 - -40/7. Which is the closest to -24? (a) r (b) -0.2 (c) k
c
Let o be (9/4 - 1) + -1. Let l = -23.1 + 23.5. Let c = 143/2 - 70. What is the nearest to 3 in o, l, c?
c
Let w = -969 + 1939/2. Which is the closest to 1? (a) w (b) -6 (c) 1/5
a
Let m = 300.5 + -300. Which is the closest to 8/5? (a) m (b) 2/5 (c) 2/9 (d) -4
a
Let y = -0.0681 + -2.9319. Which is the closest to 2/5? (a) 0 (b) 2.9 (c) 1 (d) y
a
Let u be (-17)/(-5) + (10 - 195/15). What is the nearest to -0.2 in 0.5, u, 3, -3/2?
u
Let s = 326 - 328. Let u = -6.2 + 2.2. What is the closest to 2 in u, 0.02, s?
0.02
Let l be (-9)/27*0/1. Suppose z - 5 = -l*w - w, -2*z + 11 = 3*w. Let v = -9 + 13. What is the closest to w in 2/21, v, 2/7?
2/7
Suppose 11 + 21 = -32*o. What is the nearest to o in 2/7, 6/7, -0.5?
-0.5
Let d be (-20 - -9) + 13 + -6*1. What is the closest to -27 in d, 0.1, -3/2?
d
Let w be 44/(-140) - (-9)/15. Let i = -11 + 11.4. Let f = -1 - -1.1. Which is the nearest to i? (a) f (b) -0.4 (c) w
c
Let v(m) = m**2. Suppose 0 = 6*g - 5*g. Let h be v(g). Let n = 404 + -403. What is the closest to n in -4, h, 3/5?
3/5
Let y = -198 + 88.6. Let j = -94 - y. Let u = 15 - j. Which is the closest to -2/3? (a) -3 (b) 2/13 (c) u
c
Let y be 2*-1*(-8 + 9). Which is the closest to -0.2? (a) 4 (b) 35 (c) y
c
Let h be (-110)/(-15) + (-4)/(-6). Let t be (2 + h/(-2))/(-3). Let k = -1798 - -1798.2. Which is the nearest to 1/3? (a) t (b) k (c) -1/5
b
Let s = 1.9 + -2. Let n = -15 - -86. Let h = -66 + n. What is the nearest to 1 in s, h, -4?
s
Suppose -5*j + 19 = 3*x, -3*j + 4*j + 3*x + 1 = 0. Let l = -221 - -221. Let f = -144 - -1006/7. What is the nearest to l in f, j, -2?
f
Let k(g) = 12*g**2 + 132*g + 3. Let l be k(-11). Which is the closest to 0.1? (a) l (b) 0.1 (c) -2 (d) -0.4
b
Let m = 0.8876 - -0.1124. Let k = 8/17 + -57/85. What is the nearest to m in k, -2/13, 1/3?
1/3
Let m = 2029/5 - 406. Suppose 0 = -2*d + 3*d - 4. Suppose 3 + 1 = d*f. Which is the nearest to 1/4? (a) 0 (b) m (c) f
a
Let f = 0.57 + -21.57. Let o = 21.373 - 0.173. Let b = o + f. What is the closest to 2/9 in b, -1, -4/5?
b
Let c be (4 - (-18)/(-4))*-8. Let y = c + -22/5. What is the nearest to 1 in -0.3, y, 0.3?
0.3
Let f = 55.2 - 49.2. What is the closest to -1 in -1/3, 1/5, f?
-1/3
Let t = 13/3 - 5. What is the closest to 0.2 in t, 1/3, 3?
1/3
Let k = -177.1 + 177. What is the closest to 1/2 in -1/12, k, -5?
-1/12
Let q = 11.126 - 0.082. Let w = q + -0.044. Which is the closest to w? (a) -2 (b) -3 (c) 0.1
c
Let m = 44.7 + 7.3. Let c = -52.1 + m. What is the nearest to 1 in 1, c, 2/27?
1
Let k = -0.16 + 0.36. Let t = -47 - 13. Let i be 6/15 - (-14)/t. Which is the nearest to 2? (a) 1/3 (b) k (c) i
a
Let u = -84.7 - -85.1. Let g = -17 + 50/3. Which is the nearest to -1? (a) g (b) u (c) 0.5
a
Let k be (-4)/(176/36) - (-5 - -4). What is the closest to -2 in -1/3, k, 78, 2/5?
-1/3
Let g = 7/10 - 1/2. Let y = 0.01885 + -0.11885. Which is the closest to 0.2? (a) g (b) -1.4 (c) y
a
Let a be 13/4 - (-10)/(-40). Let h = a - -2. Suppose 18 = h*z - 2. What is the nearest to -0.3 in z, -0.1, -2?
-0.1
Let n be 9/(-45) - 36/(-5). Let p(k) = -k**3 + 6*k**2 + 8*k - 5. Let d be p(n). Which is the nearest to d? (a) 2 (b) 0 (c) 3
a
Suppose -2*v + 4 = 2*z, -2*v = -3*z - 2 - 2. Suppose z*u - 5*r = u + 16, 0 = -3*u - 5*r - 18. What is the closest to 1 in u, 1/9, -5?
1/9
Let k = 0.05 + 0.45. Let q(o) = o**3 - 3*o + 1. Let d be q(2). Which is the nearest to k? (a) -0.3 (b) -1/6 (c) d
b
Let w = 0.44 - 0.04. Let i = 0.2699 + 0.0301. What is the nearest to 1/8 in i, 1/2, w?
i
Let l = -5.954 + -0.046. Which is the nearest to 2/13? (a) 5 (b) -0.3 (c) l
b
Let o = 4.09 - 0.09. Suppose -2*h = -12*h + 10. Let j = -9 + 4. What is the closest to h in o, j, -1/3?
-1/3
Let z = 0.7 + -2.5. Which is the closest to -2? (a) -0.4 (b) 4 (c) -1/4 (d) z
d
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ven dps?
0.0000003
Suppose 74*q + 4200000 = 76*q. Suppose 11*v = 6*v + q. What is v rounded to the nearest 100000?
400000
Suppose -9*q + 48600 = -q. Suppose 2*c + 3525 + q = 0. Round c to the nearest one thousand.
-5000
Let n(w) be the first derivative of w**4/4 - 5*w**3/3 - 3*w**2 + 6*w - 3. Let s be n(6). Suppose 2*b - 4*b + s = 0. What is b rounded to the nearest ten?
0
Let h = -920 - -919.99672. What is h rounded to 4 decimal places?
-0.0033
Let b = -406.336 - -418. Let q = -13.7572 + b. Let c = q - -2.1. What is c rounded to 3 dps?
0.007
Let v = 582413611865 - 582414140792.900009. Let x = 528925 + v. Let f = -2.9 - x. Round f to five dps.
0.00001
Let w = -745 + 744.96002. What is w rounded to 3 decimal places?
-0.04
Suppose 11*y = -4*x + 6*y - 73176805, 0 = -4*x - 3*y - 73176795. Let l = x + 12704195. Round l to the nearest 1000000.
-6000000
Let g = 344 - 1721. Let d be (3 - g)*(-12)/(-8). Suppose -d = 2*w - 0*w - 5*y, w + 2*y + 1026 = 0. What is w rounded to the nearest 100?
-1000
Let y = 35.967 + -36. Let q = y + 0.032933. What is q rounded to 5 decimal places?
-0.00007
Let l(s) = -2 - s**2 - 3*s**2 + s**2 + 0*s**2 + 3*s**3. Let j be (4 - 1)/(1 - 0). Let z be l(j). Round z to the nearest ten.
50
Let w(r) = -r**3 - 8*r**2 + 7*r + 21. Let j be w(-9). Suppose -3*d + m - 166 = 0, -m + j = -2*d - 71. What is d rounded to the nearest 10?
-60
Let g(z) = 74176*z**3 - 5*z**2 - 14*z. Let w be g(-2). What is w rounded to the nearest one hundred thousand?
-600000
Let w = 0.265 + -0.4238. What is w rounded to two dps?
-0.16
Let w = -1.5437218 - 3.3562785. Let j = w + 4.9. Round j to 6 decimal places.
0
Let o = 23 + -16. Suppose -o*q - 365 = 153. Round q to the nearest ten.
-70
Let q = 41425 + -17805. Round q to the nearest 100.
23600
Let x = -22 - -37. Let p = -8 + x. Let n = -6.25 + p. What is n rounded to one dp?
0.8
Let t(a) be the first derivative of 6727*a**2/2 - 3*a + 33. Let d be t(-11). What is d rounded to the nearest 10000?
-70000
Let a = 103.19 + -106. Let z = -6.6 - -3.9. Let x = z - a. Round x to two dps.
0.11
Let o be 6 + -8 + 1 + -90. Let j = o + 183. Round j to the nearest 10.
90
Let c = -390 + 376.96. Round c to one dp.
-13
Let c = -126.6082 - -0.0082. What is c rounded to the nearest 10?
-130
Let w = -88.8 - -13.6. Round w to the nearest 10.
-80
Let q = -891.047 - -849.13. Let u = q + 0.517. What is u rounded to the nearest integer?
-41
Let t = 1110.9999273 + -1111. Round t to 5 dps.
-0.00007
Let g = 52.62 - -2083.38. Let i = g + -2145.954. Let v = i + 10. Round v to two decimal places.
0.05
Let j = -39 - -123. Let y = -172 + j. What is y rounded to the nearest ten?
-90
Let l(j) = -1034*j**2 - 31*j - 13. Let w be l(10). Let o = w + 169623. Round o to the nearest 10000.
70000
Let y = 2045919.000019 + -2045907. Let n = y + -12. Round n to five dps.
0.00002
Let k = -6.5 + 6.336. Let p = 0.163999385 + k. Round p to 7 dps.
-0.0000006
Let l = 1245716.056 - 1245648.3559427. Let q = l + -67.7. What is q rounded to 6 decimal places?
0.000057
Suppose -9*n - 567959 - 3482041 = 0. Round n to the nearest 10000.
-450000
Let x = -1392 - -1392.01126. Round x to 3 decimal places.
0.011
Let d = 0.02987583 + 0.19451645. Let q = -0.08560924 - d. Let a = -0.31 - q. What is a rounded to seven dps?
0.0000015
Suppose 0*i + i = 155. Suppose -5*s + i = -30. Suppose s*x - 5 = 38*x. Round x to the nearest 10.
-10
Let u(j) = -j**2 - 10*j - 6. Let y be u(-9). Let h be (y - (-1915)/(-5))/((-2)/(-2)). What is h rounded to the nearest one hundred?
-400
Let q = -13167.007583 - -13167. Round q to 4 decimal places.
-0.0076
Let p = -1367 - -1358.568. Round p to the nearest integer.
-8
Let n = -12.042 + 12. Let t = -0.0288 - n. Round t to three decimal places.
0.013
Let d = 2.039 + -2.038646. What is d rounded to three dps?
0
Let c(d) = d**2 - 7*d + 1. Let g be c(7). Let j be g/(-9) - 36724/(-36). What is j rounded to the nearest 100?
1000
Suppose -1606*n = -1608*n - 36680. Round n to the nearest one thousand.
-18000
Let c = 5.6622 - -0.1328. Let a = c + -6. Round a to two decimal places.
-0.21
Let j = -6.27 - -5.6. Let r = j - -1.66. Let h = 0.07 + r. What is h rounded to 1 dp?
1.1
Let k = -6146 + 6141.051. Let m = -0.391 + k. Let c = 0.04 + m. What is c rounded to the nearest integer?
-5
Let x = -155.70125 + 154.7. Let q = 55.1 + -54.1. Let o = x + q. Round o to four decimal places.
-0.0013
Let p(h) = 9*h**2 + 7*h. Let w(c) = c**3 + 4*c**2 - 16*c - 14. Let x be w(-6). Let l be p(x). Round l to the nearest one hundred.
1000
Let w = -16003 - -6988. Round w to the nearest 1000.
-9000
Let h = -24095.981 - -24086. Let w = -2.2 - 7.8. Let s = w - h. Round s to 2 decimal places.
-0.02
Let l = 0.0933 + 0.6057. What is l rounded to 2 decimal places?
0.7
Let l = 61359 + -21019. Round l to the nearest 1000.
40000
Let n be (-18)/12 + (-21)/(-6). Let r(b) = n + 129*b + 2 - 6 - 2574999*b**2 - 130*b. Let q be r(2). What is
|
{
"pile_set_name": "DM Mathematics"
}
|
atest common divisor of 988 and 38?
38
What is the highest common divisor of 102 and 186303?
51
Calculate the highest common divisor of 485760 and 2400.
480
What is the greatest common factor of 98 and 110642?
98
Calculate the greatest common factor of 39 and 107003.
13
What is the highest common divisor of 17967 and 212?
53
Calculate the greatest common factor of 170 and 223750.
10
What is the greatest common factor of 92 and 197660?
4
What is the highest common divisor of 1216 and 214?
2
What is the highest common divisor of 21 and 34517?
7
What is the greatest common factor of 468550 and 200?
50
Calculate the greatest common divisor of 59657 and 1412.
353
Calculate the highest common divisor of 55261 and 365.
73
What is the greatest common divisor of 277218 and 189?
9
What is the highest common factor of 9465 and 30?
15
What is the greatest common divisor of 243 and 274347?
243
Calculate the highest common divisor of 391558 and 348.
58
Calculate the greatest common divisor of 38835 and 30.
15
Calculate the greatest common factor of 27787 and 27036.
751
Calculate the highest common divisor of 4450 and 1150.
50
What is the greatest common divisor of 28324 and 25220?
388
Calculate the greatest common divisor of 161 and 145243.
7
Calculate the highest common factor of 5075 and 95700.
725
What is the highest common factor of 1806 and 5019?
21
What is the highest common divisor of 12 and 10988?
4
Calculate the greatest common divisor of 15 and 106815.
15
Calculate the greatest common factor of 306 and 214506.
306
Calculate the highest common factor of 2 and 115683.
1
What is the highest common factor of 2656 and 12118?
166
Calculate the highest common divisor of 27 and 631089.
9
What is the greatest common factor of 1110472 and 88?
88
Calculate the greatest common divisor of 5705 and 280.
35
Calculate the highest common factor of 12 and 148032.
12
What is the greatest common divisor of 270 and 15310?
10
What is the greatest common divisor of 415 and 664?
83
Calculate the greatest common divisor of 1078 and 50568.
98
What is the highest common divisor of 12532 and 14?
2
Calculate the greatest common factor of 468 and 644488.
52
Calculate the highest common divisor of 102081 and 2583.
21
What is the highest common divisor of 26289 and 3175?
127
Calculate the greatest common factor of 25 and 276600.
25
What is the highest common divisor of 3016 and 3712?
232
Calculate the highest common divisor of 681603 and 39.
39
Calculate the highest common factor of 5924 and 64.
4
Calculate the highest common factor of 98237 and 5211.
193
What is the greatest common divisor of 1125824 and 686?
98
Calculate the highest common divisor of 662 and 2473232.
662
What is the highest common divisor of 1140 and 22296?
12
Calculate the highest common divisor of 295716 and 532.
76
Calculate the greatest common divisor of 644 and 39031.
23
Calculate the highest common factor of 648 and 13122.
162
Calculate the greatest common factor of 8451 and 39.
3
What is the greatest common divisor of 330 and 7080?
30
Calculate the highest common divisor of 29050 and 70.
70
Calculate the greatest common divisor of 41 and 59491.
41
What is the greatest common factor of 1177336 and 16?
8
What is the greatest common factor of 102960 and 1210?
110
What is the highest common factor of 6489 and 693?
63
Calculate the greatest common factor of 442896 and 300.
12
Calculate the greatest common factor of 1240 and 76136.
248
Calculate the highest common factor of 94425 and 225.
75
What is the highest common factor of 1134 and 690?
6
What is the highest common divisor of 2136 and 192?
24
Calculate the highest common factor of 240800 and 6300.
700
Calculate the highest common divisor of 2356 and 3648.
76
Calculate the highest common factor of 2808 and 7462.
26
Calculate the greatest common divisor of 4224 and 7568.
176
What is the greatest common divisor of 45696 and 49623?
357
Calculate the greatest common divisor of 328265 and 113.
113
What is the highest common divisor of 501 and 114061?
167
What is the greatest common factor of 4720 and 14000?
80
Calculate the greatest common factor of 80517 and 6.
3
What is the greatest common factor of 1286 and 14?
2
Calculate the greatest common factor of 1049090 and 490.
490
Calculate the highest common factor of 12 and 11068.
4
Calculate the highest common divisor of 44 and 393628.
4
What is the highest common factor of 6687 and 576?
9
Calculate the highest common factor of 5966 and 133.
19
What is the highest common factor of 3289 and 17963?
253
What is the highest common factor of 123 and 27470?
41
What is the greatest common factor of 8058 and 174?
6
Calculate the highest common divisor of 16 and 3470336.
16
Calculate the highest common divisor of 41256 and 504.
72
Calculate the greatest common divisor of 225038 and 15158.
1166
Calculate the highest common divisor of 817448 and 32.
8
What is the highest common factor of 3081 and 12493?
13
What is the highest common factor of 50 and 20630?
10
Calculate the greatest common divisor of 49913 and 111.
37
What is the highest common divisor of 408 and 304096?
136
What is the highest common factor of 16 and 726232?
8
What is the greatest common divisor of 5 and 16940?
5
What is the greatest common factor of 265 and 171455?
265
Calculate the greatest common factor of 224 and 12278.
14
Calculate the greatest common divisor of 301 and 187007.
43
Calculate the greatest common factor of 12 and 62058.
6
Calculate the greatest common factor of 7412 and 68612.
68
Calculate the greatest common divisor of 47 and 2424824.
47
What is the greatest common divisor of 56 and 1024472?
8
Calculate the highest common divisor of 224 and 5264.
112
What is the highest common factor of 5114116 and 1596?
532
Calculate the highest common factor of 6742 and 174.
2
Calculate the greatest common factor of 80 and 2875920.
80
What is the highest common factor of 761124 and 182?
182
Calculate the highest common factor of 230530 and 230.
10
What is the highest common divisor of 949 and 803?
73
What is the greatest common divisor of 18602 and 12314?
262
Calculate the highest common factor of 1383 and 12.
3
Calculate the highest common divisor of 16 and 414424.
8
What is the highest common divisor of 5952 and 3038?
62
What is the greatest common divisor of 7067 and 1628?
37
What is the highest common factor of 29302 and 9555?
637
Calculate the greatest common factor of 10643 and 734.
367
Calculate the highest common divisor of 4 and 5396.
4
What is the greatest common factor of 798 and 2401?
7
What is the greatest common factor of 110 and 743314?
22
Calculate the highest common factor of 3445 and 6175.
65
Calculate the highest common divisor of 1528 and 58446.
382
What is the highest common divisor of 28 and 14568?
4
What is the greatest common divisor of 8724 and 36?
12
What is the highest common factor of 6084 and 22752?
36
Calculate the greatest common factor of 22226 and 18.
2
What is the highest common factor of 2421 and 357501?
807
Calculate the greatest common divisor of 47652 and 22.
22
Calculate the greatest common divisor of 13392 and 726.
6
What is the greatest common factor of 1 and 59017?
1
Calculate the greatest common factor of 11397 and 30102.
87
Calculate the highest common factor of 116725 and 46.
23
Calculate the highest common factor of 60 and 214660.
20
Calculate the greatest common factor of 6973 and 2242.
19
Calculate the greatest common divisor of 480 and 46980.
60
Calculate the highest common divisor of 805 and 19481.
161
What is the greatest common divisor of 2717 and 118547?
143
What is the highest common factor of 28842 and 1320?
66
What is the greatest common divisor of 24 and 62844?
12
What is the greatest common divisor of 88 and 1027994?
22
Calculate the greatest common factor of 204
|
{
"pile_set_name": "DM Mathematics"
}
|
of 3*k**4/2 - 2*k - 3. Differentiate q(n) with respect to n.
18*n**2
Suppose 3 = 3*h - 3*z, -z - 11 = -4*h - 4*z. Find the second derivative of -5*v + h*v + 4*v - 2*v**3 wrt v.
-12*v
What is the third derivative of -7*l**3 - l**2 + 14*l**2 + 7*l**3 - 17*l**4 wrt l?
-408*l
Let m(a) = -7*a + 22. Let d(y) = -4*y + 11. Let c(i) = 11*d(i) - 6*m(i). Let j(n) = n + 6. Let z(s) = 4*c(s) + 7*j(s). Find the first derivative of z(f) wrt f.
-1
Let m = 30 - 28. What is the second derivative of -3*u - 2*u**4 - 12*u**m + 12*u**2 - 5*u**4 wrt u?
-84*u**2
Let r be ((-3)/(-1) - 1)*1. Suppose o - 5*z = 11, -r*z + 7*z = 4*o - 14. Find the first derivative of 5*v**3 - 3*v**3 + 0*v**3 - o wrt v.
6*v**2
Let j(w) be the second derivative of w**8/56 + 11*w**4/12 - 13*w. Find the third derivative of j(a) wrt a.
120*a**3
Let p(s) = s**5 + s**4 - s**2 - s + 1. Let f(b) = 30*b**5 + 3*b**4 - 3*b**2 - 15*b + 3. Let w(c) = -f(c) + 3*p(c). What is the second derivative of w(x) wrt x?
-540*x**3
Let u(r) be the first derivative of 3/4*r**4 - 3/2*r**2 + 0*r + 0*r**3 + 5. Find the second derivative of u(h) wrt h.
18*h
Let l be (6/(-8))/(3/(-12)). What is the third derivative of 11*u**2 + 0*u**2 - 9*u**2 - 2*u**l wrt u?
-12
Let m(z) be the first derivative of -z**6/5 + 5*z**4/12 + 8*z + 2. Let g(i) be the first derivative of m(i). Find the third derivative of g(p) wrt p.
-144*p
Let v be (-23)/(-5) + (-6)/(-15). Find the third derivative of 6*b**3 - 4*b**3 - 3*b**2 - 2*b**3 + 2*b**v wrt b.
120*b**2
Let l(b) be the first derivative of -9*b**4/4 + 5*b**3/3 + 10. Find the third derivative of l(n) wrt n.
-54
Let k(q) = 7*q**2 - 4*q - 44. Let i(t) = -36*t**2 + 20*t + 219. Let l(a) = -2*i(a) - 11*k(a). Find the first derivative of l(g) wrt g.
-10*g + 4
Let d(q) be the second derivative of -13*q**3/3 - 13*q**2 - 8*q. What is the derivative of d(v) wrt v?
-26
Let b = 6 - 4. Suppose 7*g = b*g + 10. What is the third derivative of 3*u**2 - 3*u**2 + 3*u**g - 3*u**5 wrt u?
-180*u**2
Let c(q) be the third derivative of 2*q**5/15 + q**4/4 - q**2. Find the second derivative of c(j) wrt j.
16
Suppose 3*f + j + j = 5, 3*f + 5*j = -1. Differentiate 11 + 0 + 10*y**2 - f - y**2 wrt y.
18*y
What is the third derivative of 2*x**4 - 8*x**2 + 8*x**2 + 7*x**2 + 4*x**4 wrt x?
144*x
Let j(x) = -4*x**3 - 14*x. Let c(f) = -3*f**3 - 13*f. Let d(v) = -7*c(v) + 6*j(v). What is the second derivative of d(r) wrt r?
-18*r
Suppose -5*k + 4*g + 429 = 139, 0 = -3*g. Let h be (-4)/18 - k/(-18). What is the third derivative of 0*t**2 - h*t**4 + t**4 - 2*t**2 + 5*t**2 wrt t?
-48*t
Let i(c) = -174*c**2 - 34*c - 161. Let h(p) = -29*p**2 - 6*p - 27. Let z(y) = 34*h(y) - 6*i(y). Differentiate z(q) wrt q.
116*q
Let p(c) be the first derivative of -7*c**6/360 + c**4/24 + c**3 - 1. Let t(h) be the third derivative of p(h). Differentiate t(n) with respect to n.
-14*n
Let s(w) be the third derivative of -w**4/6 - 4*w**3/3 - 2*w**2. Let m(g) = -g + 1. Let p(q) = 6*m(q) + s(q). What is the first derivative of p(j) wrt j?
-10
What is the third derivative of 22*v**2 + 37*v**3 - 12*v**3 - 11*v**2 wrt v?
150
Suppose 5*c = -2*k + 5, -2*k = -4*c + 2*k + 32. Suppose -c*q = 2*q - 10. Find the second derivative of q*s - s**2 - s - 2*s**2 wrt s.
-6
Let s(m) be the third derivative of m**7/30 + m**3/2 - 7*m**2. What is the first derivative of s(b) wrt b?
28*b**3
Let h(n) be the second derivative of n**6/10 - n**4/12 - 8*n**3/3 - n - 17. Find the second derivative of h(m) wrt m.
36*m**2 - 2
Differentiate 41*i**2 + 52*i - 21*i**2 + 42 - 2*i - 18*i**2 wrt i.
4*i + 50
Let v(l) = l**2 + l. Let k = 3 + -2. Let a = -16 + 14. Let n(u) = -2*u**3 + 2*u**2 - u. Let j(x) = a*v(x) + k*n(x). Find the second derivative of j(f) wrt f.
-12*f
Let l(c) be the first derivative of 0*c**2 + 0*c**6 - 4 + 0*c**4 + 0*c**5 + 4/7*c**7 + 0*c + 4/3*c**3. What is the third derivative of l(k) wrt k?
480*k**3
Let s(w) be the third derivative of 0 + 0*w**4 + 0*w - 2/3*w**3 + 0*w**5 - 6*w**2 - 11/120*w**6. What is the derivative of s(z) wrt z?
-33*z**2
Let b(f) = 34*f**3 - 39*f**2 - 2*f + 2. Let n(t) = -101*t**3 + 116*t**2 + 7*t - 7. Let s(g) = -7*b(g) - 2*n(g). What is the third derivative of s(w) wrt w?
-216
Let u(w) be the first derivative of -2*w**5/5 + 39*w**2/2 + 60*w - 2. What is the derivative of u(m) wrt m?
-8*m**3 + 39
Let m(o) be the second derivative of 2*o
|
{
"pile_set_name": "DM Mathematics"
}
|
+ l + w*c and give r.
-251
Express 1571*n - 523*n - 519*n - 526*n + 212 as o + r*n and give o.
212
Rearrange 7*r**3 + 4 - 106*r - 2 - r**3 - r**3 to the form x*r**3 + o*r**2 + b*r + a and give x.
5
Rearrange (4*w + w - 2*w)*(6262 + 4868 - 4969) to g*w + m and give g.
18483
Express -263 - 272 - 140*t + 506 as r*t + h and give r.
-140
Express -416*h - 10*h**2 + 839*h - h**2 - 1 - 397*h in the form t*h + q + o*h**2 and give o.
-11
Express 146*y - 8*y**3 + 157 + 3*y**3 - 294*y + 148*y as j*y**2 + z*y**3 + c + x*y and give z.
-5
Express (17*o**2 + 18*o**2 - 50*o**2)*(40 + 4*o**2 - 790*o + 791*o - 2*o**2) in the form m + d*o**3 + n*o**4 + g*o**2 + z*o and give n.
-30
Rearrange (0 - 4 + 1)*(0*h - 4*h + 3*h)*(59 - 109 - 75)*(-6 + 4 - 1) to the form c*h + n and give c.
1125
Express (3 + 1 - 2)*(345 - 399 + 738)*(10*c + 3 - 3) as y*c + d and give y.
13680
Rearrange -7*q + 3 - 22*q - q**4 - q**2 - 133*q**3 + 133*q**3 to the form y*q**2 + h*q**4 + o*q**3 + v + u*q and give h.
-1
Express 0*c**3 + 6*c**3 - 5*c**3 + (-23*c**2 - 29*c**2 + 8*c**2)*(-3*c + 2*c - c) + (-c - 2*c + c)*(1 - 2*c**2 - 1) as s*c**2 + y + a*c**3 + f*c and give a.
93
Express 1 - 1 - a + (0 + 4 - 5)*(2*a + 4*a - 4*a) + 0*a + 2*a - a + (1 + 2 - 1 + (-1 + 0 + 3)*(-6 + 1 + 3))*(-274*a - 52*a - 74*a) as w*a + d and give w.
798
Express (185632872 - 185632872 + 21738*j)*(-j + 0 + 0) as c + p*j + l*j**2 and give l.
-21738
Rearrange -42 + 11 + 16 + 15 + 32482*y to the form f + x*y and give x.
32482
Rearrange (-8*c - 3*c - 12*c)*(2284*c**2 - 326*c**3 - 2284*c**2) to the form d + k*c + i*c**4 + v*c**3 + a*c**2 and give i.
7498
Express -2*b + 2*b + b**2 + (32*b + 5*b - 6*b)*(11*b - 5*b + 0*b) as g*b**2 + t*b + y and give t.
0
Express -k - 408914 + 6*k + 2*k**2 + 408921 as a*k + x*k**2 + d and give x.
2
Rearrange (-215 - 33 + 41)*(-3 + 2 + 3)*(27*a - 326 + 326) to v + o*a and give o.
-11178
Rearrange -170*j**2 - 2 - 37*j - 41*j + 92*j**2 + 78*j to the form x + z*j + p*j**2 and give x.
-2
Rearrange -147 - 31724*x + 31715*x - 53 to y + r*x and give r.
-9
Rearrange -185*l + 185*l + 17*l**3 + (3*l - 3*l + l)*(0*l - 2*l**2 + 0*l) - 51*l**3 - 23*l**3 - 2*l**3 to w*l**3 + a + q*l**2 + g*l and give w.
-61
Rearrange -4930*z + 69*z**2 + 4930*z + (102*z + 183 - 183)*(5*z - 3*z + 0*z) to the form h + p*z**2 + i*z and give p.
273
Rearrange -2*v**2 + 287*v**3 + 635 - 65*v**3 - 218*v**3 to the form a + i*v**3 + o*v + f*v**2 and give i.
4
Express 3 - 8 - 610254*p**3 + 5*p - 3*p**4 + 610249*p**3 in the form x + n*p**3 + d*p**2 + l*p**4 + w*p and give x.
-5
Express -5 + 0 + 3 - 10*i**3 - 118*i**2 + 121*i**2 - 1 + 3*i in the form v + m*i**3 + l*i + z*i**2 and give z.
3
Rearrange -178 - 144 + 2*s - 142 - 21*s**4 + 449 to n*s + u + p*s**4 + k*s**3 + b*s**2 and give n.
2
Rearrange (-8 - a**2 + 8)*(1 - 12 + 18)*(-3 - 2*a + 3) + (-11 + 4*a + 11)*(0*a**2 - 3*a**2 + 4*a**2) to the form s*a + j*a**2 + h + v*a**3 and give v.
18
Express 14 + 1821*n + 7 - 1867*n - 2*n**2 in the form w + z*n + d*n**2 and give z.
-46
Express 677*r**4 - 5*r - 4 - 723*r**4 + r**2 + 5*r as i*r + a*r**4 + l + b*r**2 + x*r**3 and give l.
-4
Rearrange -18299*n + 35672*n - 20038*n - n - 3*n + n + (-1 + 3 - 3)*(0*n + 2*n - 4*n) to the form x*n + k and give x.
-2666
Express -2 + q + 2 + 22 - 29 - 52 - q + 0*q + 3*q - 2*q + (5 - 2 + 1)*(1 - 3*q - 1) as j + u*q and give u.
-11
Express -343*l + 90*l - 255*l - 137*l + 26*l - 5*l**2 as p*l**2 + x*l + u and give x.
-619
Express (2*f - f + 0*f)*(3382 + 518 + 206 + 5141)*(-1 - 2*f**2 + 1) in the form l*f + j*f**2 + q*f**3 + s and give q.
-18494
Express -51 + 9*x - 66 + 43 - 3 - 58 in the form u*x + n and give u.
9
Express -1934*d - 1610 + 770*d + 3220 - 1610 in the form z + l*d and give l.
-1164
Rearrange -11191*w**4 - 2*w**2 + 4*w**2 + 0*w**2 - 4*w**3 + 2*w**3 + 11048*w**4 to the form f + t*w + j*w**4 + z*w**2 + a*w**3 and give z.
2
Express 93*s - 224*s + 129*s - 14*s**2 - 3*s**4 - 3*s**3 as i*s + n*s**2 + a*s**3 + u*s**4 + y and give i.
-2
Express -5 + 7 + 58*v - 1 + 9*v as r + j*v and give j.
67
Rearrange (-59*w + 8*w + 25*w - 6144 + 20*w)*(-3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the fourth biggest value in 7/33, -0.2, 3/19, -2/3, -109/3, 0.3, 2/23?
2/23
Which is the sixth biggest value? (a) -19 (b) -8 (c) -1.78 (d) -2/9 (e) 3 (f) -4 (g) 5
b
Which is the second biggest value? (a) -377.4 (b) 53 (c) -1/3 (d) -1/32
d
Which is the sixth smallest value? (a) 0.5 (b) 378 (c) 0.89 (d) -0.07 (e) 1 (f) -4 (g) -30
e
What is the third smallest value in -3, -4, 1/25, 13, 1, -2/5, -68?
-3
What is the second smallest value in 24, 4/785, -548?
4/785
Which is the second biggest value? (a) 0.2356 (b) 1/3 (c) 1 (d) 4 (e) 16 (f) -2 (g) 19
e
What is the sixth biggest value in -2.4, -0.4, 57, 1, -1.6, 0.3, 3/2?
-1.6
Which is the fourth smallest value? (a) -31 (b) 2/9 (c) -3 (d) 2/5 (e) 0.5 (f) 63
d
What is the fifth smallest value in -1, 332, 0.087, -3, -5, 5?
5
What is the fifth biggest value in 1/5, 24, -22, -0.3, 1/2, -110, 13?
-0.3
Which is the third smallest value? (a) -183 (b) 5 (c) -194/191
b
What is the fourth smallest value in -2, 3/4, -16622, 0, 0.15?
0.15
Which is the second biggest value? (a) -2/7 (b) 6/5497 (c) 1 (d) 2 (e) -2
c
What is the third smallest value in 30692, -1/3, 4.5?
30692
Which is the second biggest value? (a) 0.338 (b) -9 (c) 2 (d) 0.08 (e) 0.06
a
Which is the fifth smallest value? (a) -62 (b) -0.2 (c) -19 (d) -4 (e) 0.08 (f) 5
e
What is the biggest value in -3, 0.24, -161245.36?
0.24
What is the third biggest value in -1528, 2.25, -8?
-1528
Which is the second smallest value? (a) -44534.2 (b) -1/5 (c) 0.1 (d) 1/14
b
What is the third smallest value in -1, -831/11, 5/7?
5/7
What is the smallest value in 7/12, 4/5, -55, -5.6?
-55
What is the second biggest value in -889, 2/11, 0.1, 4/5, 1, -4, -0.083?
4/5
What is the third smallest value in -3, -0.5, -1/15, 86, 11/6, 0.3?
-1/15
Which is the second smallest value? (a) -3/5 (b) -26 (c) 5 (d) 60 (e) -3/2 (f) 6/25
e
Which is the fourth smallest value? (a) -49/946 (b) -325.3 (c) 3 (d) -2/13
c
Which is the third smallest value? (a) 2/3 (b) 0.2 (c) -2.8 (d) -3 (e) 70 (f) 2/21 (g) 1/3
f
Which is the fifth biggest value? (a) -2/3 (b) -3/7 (c) 2 (d) -53 (e) -157/4 (f) 19/2 (g) 1
a
What is the second biggest value in 3, -36/1691, -3?
-36/1691
What is the second smallest value in -13503, -1.5, -2/21?
-1.5
Which is the third biggest value? (a) -0.05 (b) -80 (c) -10794
c
What is the second smallest value in 134, 7/8, -5116?
7/8
Which is the second biggest value? (a) -253 (b) -0.4 (c) 1/2 (d) 468/61 (e) 0.1
c
Which is the third smallest value? (a) -1 (b) 199 (c) 0.544 (d) 61 (e) -5
c
What is the second smallest value in -1/3, -1206819, 3?
-1/3
Which is the second biggest value? (a) 4/5 (b) -26 (c) 3/4 (d) 3179 (e) -0.01 (f) -3/5
a
What is the sixth biggest value in 2/19, -178/7, -11, 2/9, -6/7, -44?
-44
Which is the third smallest value? (a) -4 (b) 4921/226 (c) 2/3 (d) 3
d
Which is the second biggest value? (a) -2/13 (b) -0.5 (c) 548735
a
What is the third biggest value in -3/7, -8, 0.2, -255.61?
-8
What is the second smallest value in 12, -72, -0.4, -2/3, -0.265?
-2/3
Which is the second smallest value? (a) 0.3 (b) -3/7 (c) 3 (d) -2/3 (e) 2/9 (f) -12072 (g) -3
g
Which is the fifth smallest value? (a) 1 (b) -1 (c) 2 (d) -4 (e) -3.35 (f) 0.3
a
What is the second smallest value in -3/5, -3517/2, 372?
-3/5
Which is the sixth biggest value? (a) -0.2 (b) -0.498 (c) -5 (d) 1 (e) 1/58 (f) -1
c
Which is the sixth smallest value? (a) -2 (b) -2/7 (c) -6 (d) -1/8 (e) 0.62 (f) 0.3 (g) 17/5
e
Which is the second smallest value? (a) 304 (b) -4 (c) 0.1 (d) -1 (e) -68
b
Which is the fourth biggest value? (a) -2 (b) 3 (c) 3/4 (d) 3/32 (e) 4587
d
What is the fourth smallest value in 0.1, 1/3, -48, 14/5, 12?
14/5
What is the biggest value in -2/1223, 8.8, -0.3, 11/3?
8.8
What is the biggest value in 303, 52/69, 2, 1/3, 24?
303
What is the fourth biggest value in -9, -2/15, 2/11, -30/107, 5?
-30/107
Which is the smallest value? (a) 50264 (b) 0.23 (c) -0.5
c
Which is the biggest value? (a) 60/17 (b) 1 (c) -9 (d) -1 (e) -3/16 (f) -10
a
Which is the biggest value? (a) -23 (b) 0.1 (c) 3 (d) -57
|
{
"pile_set_name": "DM Mathematics"
}
|
j when four letters picked without replacement from {j: 1, n: 1, o: 1, u: 2, g: 5}.
1/504
Three letters picked without replacement from {s: 7, f: 1}. What is prob of sequence sss?
5/8
What is prob of sequence fffm when four letters picked without replacement from mmmmfmmfmmmmmfmffmmm?
5/646
What is prob of sequence zkq when three letters picked without replacement from {k: 5, q: 6, p: 1, z: 4}?
1/28
Two letters picked without replacement from {g: 2, j: 1, c: 2, w: 1, n: 1, o: 1}. What is prob of sequence wj?
1/56
Calculate prob of sequence vb when two letters picked without replacement from {v: 2, b: 3}.
3/10
Four letters picked without replacement from {p: 2, w: 2, b: 1, c: 6, a: 3}. Give prob of sequence caww.
3/2002
Calculate prob of sequence mkdl when four letters picked without replacement from ddjjkdklmddfjfj.
1/3276
Calculate prob of sequence mmv when three letters picked without replacement from {d: 1, v: 1, j: 2, y: 2, h: 2, m: 4}.
1/110
Two letters picked without replacement from wixxwixwixixi. Give prob of sequence wx.
5/52
Calculate prob of sequence ww when two letters picked without replacement from wuwozwwpzpwpowzopuw.
7/57
Two letters picked without replacement from mmczccnmznznnc. Give prob of sequence nz.
6/91
Two letters picked without replacement from gswsggegw. What is prob of sequence gw?
1/9
Two letters picked without replacement from wjjjwjjjwwjjwwjwwwjj. What is prob of sequence jw?
99/380
Four letters picked without replacement from {f: 1, y: 1, k: 2, v: 8, i: 6}. Give prob of sequence iiii.
1/204
What is prob of sequence bbfq when four letters picked without replacement from {u: 4, b: 3, f: 3, q: 10}?
1/646
What is prob of sequence qgpe when four letters picked without replacement from {p: 1, e: 4, f: 1, q: 1, g: 1}?
1/420
What is prob of sequence gt when two letters picked without replacement from cccdcgzccdztz?
1/156
Calculate prob of sequence ekg when three letters picked without replacement from jgeclkk.
1/105
Two letters picked without replacement from {u: 4, e: 2, o: 6, a: 3}. What is prob of sequence eo?
2/35
Two letters picked without replacement from ftt. Give prob of sequence tt.
1/3
Calculate prob of sequence zpz when three letters picked without replacement from zlplpzplkpppl.
1/143
Three letters picked without replacement from kjpjppkkpjjdjkpjdjj. Give prob of sequence jjj.
56/969
Calculate prob of sequence hwep when four letters picked without replacement from {h: 2, c: 1, e: 1, g: 1, p: 1, w: 2}.
1/420
Calculate prob of sequence aaaa when four letters picked without replacement from aaaaa.
1
Calculate prob of sequence yq when two letters picked without replacement from ddyyyqqyyydyyd.
8/91
What is prob of sequence iu when two letters picked without replacement from {u: 2, m: 6, q: 2, g: 1, i: 6}?
3/68
Four letters picked without replacement from {s: 7, j: 2, x: 8, b: 1, n: 1}. What is prob of sequence sbsx?
7/1938
Calculate prob of sequence vb when two letters picked without replacement from orrrrrrfrrrrvrbd.
1/240
Four letters picked without replacement from {d: 3, t: 5, i: 2}. Give prob of sequence iidd.
1/420
What is prob of sequence lxc when three letters picked without replacement from {x: 1, b: 1, l: 4, c: 3, f: 8}?
1/340
Calculate prob of sequence ecc when three letters picked without replacement from {e: 7, c: 4}.
14/165
What is prob of sequence pb when two letters picked without replacement from {k: 1, b: 1, s: 1, p: 1, l: 2, m: 1}?
1/42
Four letters picked without replacement from oouuoooouuo. Give prob of sequence oouu.
7/110
Three letters picked without replacement from mjzkzyyzzjzjt. What is prob of sequence zzy?
10/429
Three letters picked without replacement from kwmbb. Give prob of sequence mbb.
1/30
Calculate prob of sequence ww when two letters picked without replacement from {u: 2, w: 7}.
7/12
Three letters picked without replacement from bbbbyzgbzybbygzyy. Give prob of sequence ybz.
7/272
What is prob of sequence hah when three letters picked without replacement from {a: 1, t: 1, h: 2, k: 2}?
1/60
Two letters picked without replacement from rhwuw. What is prob of sequence wh?
1/10
Four letters picked without replacement from enqqnennennpxenqnnq. What is prob of sequence qqex?
1/1938
Four letters picked without replacement from {s: 4, j: 2, v: 1, f: 4, n: 3, x: 1}. What is prob of sequence fsjv?
4/4095
Two letters picked without replacement from {n: 4, p: 1, t: 5, z: 1, i: 3}. Give prob of sequence np.
2/91
What is prob of sequence tttw when four letters picked without replacement from twynryttywvv?
1/990
What is prob of sequence yxyg when four letters picked without replacement from rdyrgyxrrgrggrd?
1/4095
What is prob of sequence jly when three letters picked without replacement from {j: 1, m: 5, y: 5, l: 1}?
1/264
What is prob of sequence wnw when three letters picked without replacement from {p: 4, n: 6, w: 5}?
4/91
Four letters picked without replacement from {q: 1, g: 3, f: 11}. Give prob of sequence fgfg.
11/546
Three letters picked without replacement from {b: 1, v: 7}. What is prob of sequence vbv?
1/8
Two letters picked without replacement from dijlmik. Give prob of sequence jk.
1/42
What is prob of sequence fp when two letters picked without replacement from {p: 8, f: 5}?
10/39
Calculate prob of sequence nvj when three letters picked without replacement from jjvmnvjvjvnvjkmvn.
3/136
Three letters picked without replacement from tvktqoog. Give prob of sequence qkg.
1/336
Calculate prob of sequence jmm when three letters picked without replacement from {m: 4, j: 2}.
1/5
Calculate prob of sequence fn when two letters picked without replacement from {y: 2, h: 2, f: 6, j: 4, n: 1}.
1/35
Calculate prob of sequence xq when two letters picked without replacement from onaacqnnnaocxncon.
1/272
Calculate prob of sequence vhjp when four letters picked without replacement from {j: 3, p: 1, c: 1, h: 4, v: 8}.
1/595
Calculate prob of sequence eje when three letters picked without replacement from juejuju.
0
Two letters picked without replacement from uuuqrartruq. Give prob of sequence ar.
3/110
Two letters picked without replacement from {z: 5, k: 1, o: 1, i: 5, v: 5}. What is prob of sequence ko?
1/272
Three letters picked without replacement from {l: 2, r: 2}. What is prob of sequence rrl?
1/6
Four letters picked without replacement from bnbnxo. What is prob of sequence bxnn?
1/90
Calculate prob of sequence aav when three letters picked without replacement from avvva.
1/10
Two letters picked without replacement from {f: 8, m: 2, x: 2, t: 1, j: 2, v: 2}. What is prob of sequence ft?
1/34
Calculate prob of sequence zz when two letters picked without replacement from yzzyyzyyyyzyyy.
6/91
Three letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
- 165*m**2 - 39*m = 0. What is m?
-3/19
Factor 54/5*p**2 + 4/15*p**5 + 24*p**3 + 0 + 74/15*p**4 + 0*p.
2*p**2*(p + 9)**2*(2*p + 1)/15
Let h(c) be the second derivative of -c**5/40 - 7*c**4/36 - 17*c**3/36 - c**2/2 - 136*c. Factor h(t).
-(t + 1)*(t + 3)*(3*t + 2)/6
Let g be 4 + 0*3/6. Suppose 4*b**5 + 5*b**3 + g*b**2 - 4*b**4 + b**3 - 3*b**3 - 7*b**3 = 0. What is b?
-1, 0, 1
Let i(d) be the third derivative of 0*d + 0 - 19*d**2 + 0*d**3 + 13/288*d**4 - 1/720*d**5. Solve i(v) = 0 for v.
0, 13
Let q = 1681 + -5041/3. Find k, given that -2/3 - k**3 + k + q*k**2 = 0.
-1, 2/3, 1
Let u = -10110 - -1213207/120. Let f(y) be the second derivative of 0*y**2 - 2*y - 1/8*y**4 - u*y**5 + 0 - 1/18*y**3. Factor f(b).
-b*(b + 1)*(7*b + 2)/6
Suppose 9*b - 4*b - 40 = 0. Let o = -5 + b. Determine h so that -8*h**4 - 7*h**4 + o*h**5 - 3 + 9*h - 10*h**2 + 6*h - 20*h**2 + 30*h**3 = 0.
1
Let j = 463/4 - 2309/20. Let g(h) be the first derivative of -1/5*h + 7 - 1/5*h**3 - j*h**2 - 1/20*h**4. What is u in g(u) = 0?
-1
Let o(y) be the first derivative of -1/24*y**6 - 1/16*y**4 + 0*y**2 + 0*y + 0*y**3 - 18 + 1/10*y**5. Factor o(x).
-x**3*(x - 1)**2/4
Let m(o) = -2*o - 3. Let f(n) = -6*n - 9. Let q(c) = 4*f(c) - 11*m(c). Let a be q(-3). Solve -11*p**3 + 5*p**2 + p + p + 2*p**3 - a*p**3 = 0 for p.
-1/4, 0, 2/3
Suppose 6*b + 0*b**4 + 2*b - 9*b**2 - 13*b + b**4 - 3*b**3 = 0. What is b?
-1, 0, 5
Let y(a) = 8*a**4 - 56*a**3 - 128*a**2 - 68*a. Let x(n) = -9*n**4 + 55*n**3 + 127*n**2 + 68*n. Let b(c) = 4*x(c) + 5*y(c). What is k in b(k) = 0?
-1, 0, 17
Let f be 4/10 - (-130)/50. Let s be (6/4)/f*10. Let -p + 28*p**2 + 6*p + 23*p**4 - 3*p**4 + 4*p**s + 3*p + 36*p**3 = 0. What is p?
-2, -1, 0
Let p = 135/8 - 401/24. Let t(c) be the third derivative of -1/84*c**8 - 5*c**2 + 0*c**3 + 0*c + 0*c**5 - p*c**4 + 0 + 1/15*c**6 + 0*c**7. Factor t(n).
-4*n*(n - 1)**2*(n + 1)**2
Let w(k) = k**3 + 6*k**2 - 3*k + 30. Let b be w(-7). Find r such that -4/7 - b*r**2 + 18/7*r = 0.
2/7, 1
Let g(c) = 78*c - 8. Let t be g(1). Suppose -9*i**3 + t*i**3 + 14*i**5 - 66*i**4 - 96*i + 80*i**2 - 2*i**3 + 5*i**3 - 32 = 0. Calculate i.
-1, -2/7, 2
Factor -15/2*q**2 - 1/2*q**4 - 9/2*q**3 - 7/2*q + 0.
-q*(q + 1)**2*(q + 7)/2
Suppose y = -5*u - 16, -3*u - 85 = 2*y - 81. Factor 0 - 2*l**y - 4/3*l - 1/3*l**5 - 13/3*l**3 - 4*l**2.
-l*(l + 1)**2*(l + 2)**2/3
Suppose -2*z - 6 + 10 = 0. Let -53 + 2*u**3 + u**z + 53 - 3*u**2 = 0. What is u?
0, 1
Suppose 2*w = -w + 120. Solve -240*y + 6*y**2 + w*y**4 + 240*y + 30*y**3 - y**2 = 0.
-1/2, -1/4, 0
Suppose m - 14*m**2 - m**3 + m**2 + 6*m**2 + 7*m**2 = 0. What is m?
-1, 0, 1
Let g be (-5)/6*2408/(-1505). Solve -18*h**4 + 6*h**2 - g*h - 40/3*h**5 + 0 + 8/3*h**3 = 0.
-1, 0, 1/4, 2/5
Factor 12/5*o**2 - 2/15*o**3 - 52/5 - 118/15*o.
-2*(o - 13)*(o - 6)*(o + 1)/15
Let c be 1/(-1*(-2)/(-10)). Let a be (c - 1)/(10/(-5)). Suppose -10*x**3 - 21*x**4 - 12 - 48*x - 63*x**3 - 3*x**5 - 75*x**2 + 16*x**a = 0. What is x?
-2, -1
Let v be 72/(-8)*42/(-35)*(-40)/(-36). Determine n so that 69/4*n**2 + 3 + 9/4*n**4 - 21/2*n**3 - v*n = 0.
2/3, 1, 2
Let p(y) be the third derivative of y**8/210 + 2*y**7/525 - 11*y**6/50 - 16*y**5/75 + 8*y**4/15 - 131*y**2. Let p(j) = 0. What is j?
-4, -1, 0, 1/2, 4
Let h(k) be the second derivative of -k**5/10 + 8*k**4/3 - 5*k**3 + 3*k + 7. Determine b so that h(b) = 0.
0, 1, 15
Let c(y) be the first derivative of -y**6/90 + 2*y**5/15 - 2*y**4/3 + y**3/3 + 12. Let t(l) be the third derivative of c(l). Factor t(a).
-4*(a - 2)**2
Let d(l) = l**2 + 5*l - 640. Let p be d(23). Let i(c) be the third derivative of -4*c**2 - 1/480*c**6 - 1/240*c**5 + 0 + 0*c + 0*c**3 + 0*c**p. Factor i(x).
-x**2*(x + 1)/4
Let p = -461/20 + 774/5. Let q = -131 + p. Factor 1/2 + 1/4*w**2 + q*w.
(w + 1)*(w + 2)/4
|
{
"pile_set_name": "DM Mathematics"
}
|
a) 0.12339 (b) 233 (c) 5
b
What is the biggest value in -89/7, 3213, -0.5?
3213
What is the smallest value in -1322, -1, -2/13, 4, -5.2?
-1322
What is the fifth smallest value in -406, 2/9, -1/3, 1, 4/45?
1
What is the second smallest value in 1/5, 1/18, -0.03, 0.3, 1/10, 13/4?
1/18
Which is the sixth smallest value? (a) 2/13 (b) -4 (c) 0.2 (d) -1859 (e) -6 (f) -3/8 (g) -9/7
a
Which is the biggest value? (a) -6 (b) 8 (c) 0.6 (d) -0.030093
b
Which is the second biggest value? (a) -0.1 (b) 3/251 (c) 26
b
What is the fourth smallest value in 1/3, 4, 6, 1/2, 384, 7, 2/19?
4
Which is the sixth smallest value? (a) -4.3 (b) -1 (c) -2 (d) 4 (e) 2/13 (f) -16132
d
Which is the biggest value? (a) 5/8 (b) -2/7 (c) 2 (d) -690 (e) -15
c
Which is the fifth smallest value? (a) -2 (b) 0 (c) -3 (d) 1 (e) 2/107593 (f) -1/7
e
What is the second biggest value in -3688, 0, 2756?
0
Which is the third smallest value? (a) -0.2 (b) -575 (c) 15 (d) 118
c
Which is the second biggest value? (a) -205 (b) 0.101 (c) -3/16
c
Which is the sixth smallest value? (a) 2 (b) 0.2 (c) 2/9 (d) -1202 (e) 13 (f) 8
e
What is the third biggest value in -3, 5/4, 66, -10/229, 19?
5/4
What is the second smallest value in -8, 0, 10, -1, 26?
-1
What is the second smallest value in 1/3, -0.01, 594/43, 0, 6/23?
0
Which is the third biggest value? (a) -1373 (b) 19 (c) 4 (d) -433 (e) -0.5
e
What is the fifth biggest value in 4, -12, -12754, 5/2, 5, -2/5?
-12
What is the third smallest value in 3, -0.02, -2.2, 1/52, -2/9, 0.09?
-0.02
Which is the sixth biggest value? (a) 9 (b) -62/11 (c) 4/9 (d) -2 (e) -5 (f) 15 (g) -0.12
e
What is the fourth smallest value in 8, -1, 2, -31817?
8
Which is the second biggest value? (a) 0.3 (b) 15.65 (c) 64/27
c
Which is the second smallest value? (a) 31 (b) 0.08 (c) 3873
a
Which is the second biggest value? (a) -3 (b) -16/7 (c) 132191 (d) -5
b
What is the third biggest value in -3/7, 34, 2, -2/1501, 7, -1, 0?
2
What is the fourth smallest value in 14336, 5, 0.5, 3, 0.02?
5
What is the fourth smallest value in -14, 4, 2/9, -2, -0.3, -49318?
-0.3
Which is the third biggest value? (a) -3925 (b) 2/15 (c) 4 (d) -28 (e) -4 (f) 1
b
What is the smallest value in -40, -0.2, -1, 5, -617410?
-617410
What is the fourth biggest value in 6/5, -0.4, -0.2, 2/3, 208/137?
-0.2
What is the smallest value in -107.18, -0.1, -18.1?
-107.18
What is the fifth biggest value in -6/5, -0.9, -0.11, 3/8, -1/8, -0.5?
-0.9
Which is the biggest value? (a) -3/1486 (b) -47 (c) -0.3
a
What is the third smallest value in 5, 43.3, -2/1629, 0.4, 4?
4
Which is the fourth biggest value? (a) 4/11 (b) -0.3 (c) 5/12 (d) -2 (e) 7/2
b
Which is the second smallest value? (a) 2065 (b) -66 (c) -103
b
Which is the fifth smallest value? (a) 0.25 (b) 6700 (c) 3/38 (d) 1/7 (e) 0.5
b
Which is the fourth smallest value? (a) 0.2 (b) 11/70 (c) -2/7 (d) 13 (e) 3/4 (f) -1
a
What is the smallest value in 0, 2/25, -817, -0.382?
-817
Which is the sixth biggest value? (a) -5 (b) 3 (c) 4 (d) 0.1 (e) 14 (f) 45 (g) -1/13
g
Which is the second smallest value? (a) -2 (b) 1057/32 (c) -3 (d) 0.4 (e) -5
c
What is the third smallest value in 28, 0.3, 0, -8, 24?
0.3
Which is the fourth biggest value? (a) -0.1 (b) 0.13 (c) -942 (d) 0 (e) 1/5 (f) 6 (g) 3/28
g
What is the second biggest value in -4, 5, 1427, -9, 0.24?
5
What is the third biggest value in -412680, 36, -1/4?
-412680
Which is the fourth biggest value? (a) 6/13 (b) 11 (c) 9/30229 (d) -1/6
d
What is the fourth biggest value in -3, 161, -1/20, 817?
-3
What is the second smallest value in -2/409, -101, -0.0172?
-0.0172
Which is the third biggest value? (a) -5 (b) 4 (c) 17 (d) -4 (e) 0.09 (f) -2/131
e
Which is the smallest value? (a) 234 (b) 10 (c) 9/89 (d) 7
c
Which is the biggest value? (a) -2.31 (b) 1 (c) -2 (d) -1 (e) -3 (f) -46.6 (g) 4
g
Which is the fourth smallest value? (a) 18/139 (b) 4 (c) -1/200 (d) 21
d
What is the smallest value in -3, -0.1, 0.1, -57, 11/295, 2?
-57
Which is the second biggest value? (a) -4 (b) 5/2 (c) -11 (d) -0.2 (e) 949
b
Which is the sixth biggest value? (a) 0.094 (b) 5 (c) 2 (d) 2/3 (e) 70 (f) -4/9 (g)
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of picking 2 q.
1/66
What is prob of picking 3 k and 1 r when four letters picked without replacement from rkkrrrrrkkkr?
14/99
Calculate prob of picking 2 i and 1 k when three letters picked without replacement from {i: 7, k: 7}.
21/52
Four letters picked without replacement from {a: 6, d: 13}. Give prob of picking 1 d and 3 a.
65/969
Two letters picked without replacement from {d: 2, r: 9, o: 6}. What is prob of picking 1 r and 1 d?
9/68
What is prob of picking 1 h and 2 z when three letters picked without replacement from hhfzfzyfzyzzhzfzzzz?
45/323
Four letters picked without replacement from {e: 5, t: 2, d: 1, h: 5, j: 1, r: 1}. Give prob of picking 1 r, 1 d, and 2 h.
2/273
Calculate prob of picking 2 y when two letters picked without replacement from yygyyyyyyyyg.
15/22
Two letters picked without replacement from {q: 10, g: 4, b: 1, c: 1, p: 2}. Give prob of picking 1 q and 1 p.
20/153
Calculate prob of picking 1 n, 1 e, and 1 c when three letters picked without replacement from {e: 1, a: 1, c: 3, w: 3, p: 1, n: 2}.
2/55
Calculate prob of picking 1 f, 1 l, and 1 e when three letters picked without replacement from {h: 1, z: 1, l: 1, e: 1, f: 1}.
1/10
Four letters picked without replacement from {u: 10}. What is prob of picking 4 u?
1
Two letters picked without replacement from eiinnnnnennnnnn. Give prob of picking 1 e and 1 i.
4/105
Calculate prob of picking 1 m, 1 b, and 2 i when four letters picked without replacement from {c: 1, i: 7, a: 2, m: 8, b: 1}.
14/323
Three letters picked without replacement from {n: 3, h: 5, r: 5}. Give prob of picking 3 n.
1/286
What is prob of picking 2 c when two letters picked without replacement from lclccclllg?
2/15
What is prob of picking 3 y and 1 m when four letters picked without replacement from myyyyym?
4/7
Calculate prob of picking 1 c and 1 k when two letters picked without replacement from ccknfwc.
1/7
What is prob of picking 4 g when four letters picked without replacement from {g: 4}?
1
Three letters picked without replacement from lmyclmj. What is prob of picking 1 l, 1 j, and 1 c?
2/35
Two letters picked without replacement from tmqqqyjq. What is prob of picking 1 m and 1 t?
1/28
Three letters picked without replacement from {b: 3, n: 2, g: 4}. Give prob of picking 1 g and 2 n.
1/21
Calculate prob of picking 1 u, 1 m, and 2 f when four letters picked without replacement from {u: 7, m: 1, h: 1, o: 1, f: 9, i: 1}.
84/1615
Three letters picked without replacement from ekkkee. What is prob of picking 1 e and 2 k?
9/20
Two letters picked without replacement from {n: 1, f: 2, m: 1, u: 1}. Give prob of picking 1 f and 1 n.
1/5
Two letters picked without replacement from {s: 1, k: 1, n: 1, c: 1, i: 1}. Give prob of picking 1 i and 1 s.
1/10
What is prob of picking 1 m, 1 q, and 1 a when three letters picked without replacement from pabbbbpapmq?
2/165
What is prob of picking 3 m and 1 q when four letters picked without replacement from bmbbqbmqbmbmqbbbqbq?
5/969
Three letters picked without replacement from ugghhggfhfuhhhuhq. Give prob of picking 2 u and 1 h.
21/680
Calculate prob of picking 2 j when two letters picked without replacement from ffynyyiyjjnnny.
1/91
What is prob of picking 2 y and 2 w when four letters picked without replacement from {y: 7, w: 5}?
14/33
Calculate prob of picking 1 n, 1 s, and 1 y when three letters picked without replacement from {y: 7, s: 9, n: 3}.
63/323
Two letters picked without replacement from ueeueeeuuu. Give prob of picking 2 u.
2/9
Two letters picked without replacement from fffoof. What is prob of picking 2 o?
1/15
Two letters picked without replacement from {s: 1, t: 2, y: 1}. What is prob of picking 2 s?
0
Three letters picked without replacement from scssssss. Give prob of picking 1 c and 2 s.
3/8
What is prob of picking 4 b when four letters picked without replacement from dddddbdddddddddddddd?
0
Two letters picked without replacement from {y: 1, p: 1, n: 3}. What is prob of picking 2 n?
3/10
Calculate prob of picking 4 l when four letters picked without replacement from lllululull.
1/6
Two letters picked without replacement from wssbsswszbzbb. Give prob of picking 2 z.
1/78
What is prob of picking 2 c when two letters picked without replacement from fcqfqqqcffqc?
1/22
Four letters picked without replacement from upuupuuuupuuuuppuuu. Give prob of picking 2 p and 2 u.
455/1938
Two letters picked without replacement from chhmhhme. Give prob of picking 2 m.
1/28
Four letters picked without replacement from {b: 1, v: 4, o: 1, w: 1, u: 1}. What is prob of picking 1 v, 1 b, 1 o, and 1 w?
2/35
What is prob of picking 2 s when two letters picked without replacement from {s: 2, u: 8}?
1/45
Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {s: 3, e: 2, b: 8, l: 3}.
1/5
What is prob of picking 1 l and 1 k when two letters picked without replacement from bbblkbjbkbql?
2/33
Calculate prob of picking 1 e, 1 a, and 1 z when three letters picked without replacement from {m: 1, e: 1, a: 2, z: 1, r: 1, n: 1}.
2/35
Three letters picked without replacement from {a: 2, z: 1, i: 2, h: 14}. Give prob of picking 3 h.
364/969
What is prob of picking 2 d when two letters picked without replacement from {u: 1, d: 2}?
1/3
What is prob of picking 1 o, 1 u, and 1 k when three letters picked without replacement from cmuooku?
4/35
What is prob of picking 2 a and 2 s when four letters picked without replacement from {a: 3, s: 2, x: 3}?
3/70
Two letters picked without replacement from qfqqpfvfqp. What is prob of picking 1 p and 1 v?
2/45
Calculate prob of picking 3 i when three letters picked without replacement from {e: 7, i: 5}.
1/22
Two letters picked without replacement from csec. Give prob of picking 2 c.
1/6
Three letters picked without replacement from {n: 4, b: 2, e: 1}. Give prob of picking 3 n.
4/35
Four letters picked without replacement from ddtbtdtddbbdb. Give prob of picking 1 b and 3 t.
4/715
Calculate prob of picking 2 f when two letters picked without replacement from {f: 6}.
1
Calculate prob of picking 1 a and 2 n when three letters picked without replacement from {r: 2, a: 8, n: 4, e: 2}.
3/35
What is prob of picking 3 k when three letters picked without replacement from {g: 7, k: 6, f: 2}?
4/91
Three letters picked without replacement from aaaaaaeaaea. Give prob of picking 3 a.
28/55
Three letters picked without replacement from {h: 4, q: 6, m: 2, z: 6}. What is prob of picking 1 h, 1 q, and 1 z?
3/17
What is prob of picking 1 n, 2 u, and 1 f when four letters picked without replacement from {u: 4, f: 1, n: 2}?
12/35
Four letters picked without replacement from fsffs. What is prob of picking 3 f and 1 s?
2/5
What
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is smaller: -1/484 or -0.1?
-0.1
Is -8480 at most as big as 2/3?
True
Are -5 and -70/11 unequal?
True
Which is smaller: 1/627 or 0?
0
Are -1 and 1/408 nonequal?
True
Is 1341 <= 0?
False
Which is bigger: -592 or -591?
-591
Is -151 >= -150?
False
Which is greater: -0.32 or -0.069?
-0.069
Is -6026 != -6027?
True
Which is bigger: 2333 or 2335?
2335
Which is smaller: 2/7 or -3/118?
-3/118
Is 0 at most -6/25?
False
Are -0.3877 and 0.3 unequal?
True
Is 3 greater than 83/35?
True
Does -89 = -101?
False
Is 1 less than or equal to 62/39?
True
Which is smaller: -1 or -6/689?
-1
Is 203 < 1017/5?
True
Is 134 at least as big as 172?
False
Is -2043 smaller than -2042?
True
Which is smaller: 1 or 1/332?
1/332
Which is bigger: 417 or 420?
420
Is 3658 greater than 3659?
False
Do -2734 and -2733 have different values?
True
Which is bigger: 56 or 3?
56
Do 14660 and 14660 have different values?
False
Which is greater: -6 or 6248?
6248
Is 0 >= 2/881?
False
Which is bigger: -2 or 13?
13
Which is smaller: 164 or 41?
41
Which is bigger: -248/19 or -12?
-12
Which is bigger: -6/13 or -11.12?
-6/13
Are 103 and 131 equal?
False
Which is smaller: -86 or -87?
-87
Which is greater: 2/29 or 11/36?
11/36
Which is greater: 9582 or 9583?
9583
Is 990 equal to 992?
False
Do 0.6 and 381 have the same value?
False
Which is smaller: -1 or -3/866?
-1
Which is bigger: -22 or -1098/49?
-22
Which is smaller: -86 or -98?
-98
Is 302 at least as big as 303?
False
Which is smaller: 0 or -10/123?
-10/123
Which is smaller: -6/2947 or 0?
-6/2947
Is 126/11 at least -1?
True
Which is smaller: -89 or -30?
-89
Does 17 = -0.568?
False
Which is bigger: -23 or 361?
361
Which is smaller: -1/616 or 0?
-1/616
Is 0.1 at most 12827?
True
Which is bigger: -15/851 or -1?
-15/851
Which is bigger: -55/7 or 41/4?
41/4
Do 2963 and 2970 have the same value?
False
Which is greater: -0.08 or 76?
76
Do -228 and -223 have the same value?
False
Is 3457 greater than 3454?
True
Which is smaller: 69 or 39?
39
Which is bigger: -1805 or -1804?
-1804
Is -143 equal to -141?
False
Which is bigger: -481 or -480?
-480
Which is smaller: -11 or 197?
-11
Is 8/55 > 0?
True
Is -11 less than or equal to -13?
False
Is -1028/7 < -148?
False
Which is smaller: -37 or -38?
-38
Which is bigger: -13/2323 or 1?
1
Which is smaller: -49 or -8?
-49
Does 2 = 58/11?
False
Is -4.2 >= -3?
False
Which is smaller: 2/5 or -15?
-15
Is 37 <= 0.22?
False
Which is smaller: 0 or -3/190?
-3/190
Is -211 bigger than -211?
False
Which is smaller: 86/33 or 3?
86/33
Does 2/51871 = 0?
False
Is -10735 <= -10732?
True
Do 0 and -22/409 have different values?
True
Are 33/1516 and 1 non-equal?
True
Which is bigger: -1/2 or -119/3?
-1/2
Which is bigger: -1 or -1/448?
-1/448
Which is greater: -25 or -14?
-14
Which is smaller: 1 or 53?
1
Are 14 and 13 equal?
False
Is -255/4 at most as big as 0.1?
True
Which is smaller: 12373 or 24743/2?
24743/2
Is 1153 smaller than 14970/13?
False
Is -11/52 > 1?
False
Are 2/5 and -162 non-equal?
True
Which is smaller: 211 or 2/3?
2/3
Which is bigger: 6 or 46?
46
Is 1.27 bigger than -2/35?
True
Is -1.2 less than -287?
False
Which is smaller: 189 or 185?
185
Is -0.037 < 55?
True
Is -560 equal to -557?
False
Which is greater: -9/65 or 0?
0
Is 20 at least 3/4?
True
Which is bigger: -0.1 or 0.389?
0.389
Is -1731 != -3461/2?
True
Which is bigger: 752 or 753?
753
Which is smaller: -7964/5 or -1592?
-7964/5
Is 1327.1 greater than -1/2?
True
Is 42 > 42?
False
Is -130 less than or equal to -192?
False
Which is bigger: -22 or -48?
-22
Which is greater: -2/383 or 1?
1
Does -1 = -8?
False
Which is greater: -9 or -7?
-7
Is -75 greater than -77?
True
Which is smaller: 364 or 380?
364
Which is smaller: 14/1413 or 0?
0
Which is bigger: 1024/9 or 115?
115
Which is greater: -1 or -6?
-1
Is -0.05 > 3?
False
Which is smaller: -46 or -48?
-48
Is -586 equal to -585?
False
Which is smaller: 8 or -2.8?
-2.8
Which is smaller: -0.3 or 128?
-0.3
Is -352 equal to -353?
False
Are 76 and -4 non-equal?
True
Which is greater: 4/869 or 1?
1
Which is smaller: -378 or -371?
-378
Which is smaller: 596 or 597?
596
Which is greater: -1/3 or -2766?
-1/3
Which is smaller: 1 or -28808?
-28808
Which is bigger: -0.2 or -3/49?
-3/49
Are 1 and -2/465 equal?
False
Is 2/429 smaller than 39?
True
Which is greater: 1 or 180?
180
Which is smaller: -33 or -13?
-33
Which is smaller: -1 or 2/45217?
-1
Do 491 and 484 have different values?
True
Which is smaller: -1644 or -1643?
-1644
Which is smaller: -4996 or -4995?
-4996
Is -2/59 equal to -17?
False
Does 2/29 = 0?
False
Is -6/11 at most -896?
False
Which is bigger: 133 or 131?
133
Do 0 and -1/800 have the same value?
False
Is 1 at least 103/64?
False
Which is bigger: -1393 or -1395?
-1393
Is -896 equal to -896?
True
Is -1520 less than 1?
True
Which is bigger: -2/9 or -159?
-2/9
Is 415 less than 453?
True
Is 1/6 at most as big as 71?
True
Which is smaller: 12 or 118/9?
12
Is -1 at most as big as -3/94?
True
Is -78 smaller than -68?
True
Is -54 > 0.8?
|
{
"pile_set_name": "DM Mathematics"
}
|
2/11 (c) 0.2 (d) k
c
Let v(o) = -4*o + 13. Let l be v(3). Let n(y) = -y**2 + y + 1. Let t be n(l). Let f = -3 - 0. Which is the nearest to -0.1? (a) t (b) -5 (c) f
a
Let c = -11.4 - -11. Let g = c + 3.4. Let f = g - 7. What is the nearest to 1 in -0.4, -2/7, f?
-2/7
Let i = -246 + 247. Let y be ((-23)/(-28))/(1/4) - 3. What is the closest to y in -5, -4, i?
i
Let m = -0.009 - -53.009. Let z = m + -52.7. What is the closest to 1/2 in z, -51, 2/5?
2/5
Let r = 0.063 + -0.163. Which is the closest to r? (a) 12 (b) 1/4 (c) -0.3
c
Let n = 1.107 + -0.107. Let y = -3.1 - -0.1. Let t = y - 1. What is the closest to t in -0.5, n, -4?
-4
Let x = -1094 + 1093. Which is the closest to 19/4? (a) 1 (b) 1/12 (c) -4 (d) x
a
Let g be (-3)/((-36)/15) - 24/16. Suppose -3*j - f + 8 = 0, -j + 6*j = 5*f - 20. Let l = 9/52 + -293/1092. Which is the nearest to j? (a) g (b) l (c) 2
c
Let f = -0.033 + -255.967. Let i = 258 + f. Let h = 0 - -1. Which is the closest to h? (a) i (b) -0.03 (c) -5
a
Let l = -370 - -370. Which is the nearest to l? (a) 5 (b) 0.31 (c) -8
b
Let j be (-47)/(-9) - (0 + (-8)/(-36)). Let x be 0 + 100/(-15) + 6. Which is the nearest to j? (a) 0.4 (b) x (c) 2
c
Let m = -129.9 - -130. Which is the closest to -0.1? (a) m (b) 0 (c) -24
b
Let f = 2.93 - -0.07. Let y = 20 + -98/5. Which is the closest to 0? (a) y (b) -4/3 (c) f
a
Suppose 0 = 2*h + h - 36. Let d = 7 - h. Let t = 2 - 2. Which is the closest to -0.3? (a) d (b) t (c) 2/7
b
Let l = 691 - 690. What is the nearest to l in 17, 2, -1/4, -1/7?
2
Let y = -6 + 10. Let k = -0.0566 + -0.3434. Which is the nearest to y? (a) k (b) 2 (c) 1/2
b
Let g = 0.06 + -0.08. What is the closest to 1 in -0.3, 4, g?
g
Let w = 1.8 - 0.8. Suppose 4*y = 5*k + 12 + 28, 0 = k + 4. What is the nearest to w in 4/5, y, -1/4?
4/5
Let d = 489 - 491. What is the closest to d in 3, -0.9, 0.4, -1?
-1
Let r be 1 + 2 - 301/84. Let s = 283 + -1703/6. Let y = r - s. What is the closest to 1/3 in 0.2, -5, y?
y
Let g be (252/(-24))/((-2)/(-4)). What is the nearest to -1 in 2/7, 0.03, 0.4, g?
0.03
Let u = -0.4 + -0.1. Let n = -381 + 381. Let j be -1*1 - (10 - 10). Which is the closest to n? (a) u (b) 0.2 (c) j
b
Suppose 12*q - 19 - 29 = 0. What is the nearest to 1/3 in 0.2, 31, q?
0.2
Let n be (2/(-18))/((-2)/(-8)). Let s = -2.47 - -2.97. Which is the nearest to -0.4? (a) s (b) n (c) -5
b
Let m = -4.53 - -4.33. What is the nearest to m in -2/3, 0.2, 3?
0.2
Let m = -0.7 + 0.3. Let l be 121/22 + (-7 - -1). What is the nearest to l in 5, m, 1?
m
Let i(p) = 8*p**2 + 3 - p**3 - 3*p**2 + 5 + 3*p. Let f be i(6). Let u be (-8)/f*(-9)/12. Which is the closest to 0? (a) -3 (b) -4 (c) u
c
Let j = 7.72 + -0.72. Let y = -74.1 + 81. Let h = j - y. What is the closest to h in 0.2, 3, -0.2?
0.2
Let k = 32744449/253 + -129425. Let w = -9/23 - k. Which is the closest to -2/7? (a) 6 (b) 2/5 (c) w
c
Let j = -181/3 - -61. What is the closest to j in -0.15, 2/3, 1/5, -0.3?
2/3
Let k be 6/81 + 0/(-5). Which is the closest to k? (a) 0.5 (b) -5 (c) -0.2 (d) 3
c
Let q = -0.013 + -0.087. Let i = -5.7 + 5.66. Which is the closest to i? (a) -2 (b) 2 (c) q
c
Let v be -3 + (5 - 198/8). Let d = v - -23. What is the closest to 1/3 in d, 2/5, -0.1?
2/5
Let y = -22.019 + 0.019. Let w = -20 - y. What is the closest to 0.1 in w, -1/2, -2/5?
-2/5
Let n = -10.1 + 10. Let o = -2/493 - -42895/986. Let q = o - 42. Which is the nearest to n? (a) q (b) 2 (c) 4
a
Let c = 53 - 53.3. What is the closest to -2/7 in c, 4/5, -5?
c
Let q = 1 + -1.4. Let a = -5.4 - q. Let t = 6 + a. What is the closest to 0.1 in t, 1/3, -1/5?
1/3
Let i = -1.264 - -1.764. What is the nearest to -2 in i, 33, -0.4, 5?
-0.4
Let t = 2.021 + -0.921. What is the closest to 1 in t, -3, 1?
1
Let y be (1/(-2))/(33/6 + -6). What is the nearest to y in 8, 0.2, -1, 0.1?
0.2
Let m = -1289.9 + 1290. Which is the closest to -1? (a) 0.4 (b) m (c) 3 (d) -37
b
Let o = 812 - 808. Which is the closest to 1? (a) -2/5 (b) o (c) 2 (d) 7
c
Let n = -570 + 566. What is the nearest to -1 in n, 1, -2, 4?
-2
Let f(q)
|
{
"pile_set_name": "DM Mathematics"
}
|
o*h(c) + w*y(c).
c + 2
Let t(h) = h**3 - 3*h**2. Let g(f) be the first derivative of 0*f**2 + 0*f - 4/3*f**3 + 1/4*f**4 + 2. Give 3*g(q) - 4*t(q).
-q**3
Let y(h) = -5*h - 1. Let r(m) = 3*m + 3*m + 3*m + 1. Let g = 11 - 6. Give g*y(w) + 3*r(w).
2*w - 2
Let k(s) = 7*s + 4. Let j(m) = -15*m - 9. Let t(r) = 2*j(r) + 5*k(r). Let y(g) = 6*g + 3. Give 4*t(b) - 3*y(b).
2*b - 1
Let c(j) = 109*j + 3 - 6 - 3*j**2 - 4 - 102*j. Let m(t) = -3*t**2 + 6*t - 6. Calculate 6*c(b) - 7*m(b).
3*b**2
Let g(o) = -11*o + 5. Let f(k) = k + 1. What is 5*f(n) - g(n)?
16*n
Let n(d) = -15 - 6 - 8*d - 14 + 42. Let g(l) = 4*l - 3. Determine 7*g(w) + 3*n(w).
4*w
Let f(x) = 3*x + 6. Let i(t) = 3*t + 12. Let s(y) = -16*y - 61. Let m(r) = 11*i(r) + 2*s(r). Let u be m(-7). Let l(o) = -2*o - 5. Determine u*f(n) + 4*l(n).
n - 2
Let p(c) = -3*c - 4. Let g be p(-5). Let o = 8 - g. Let t(n) = -2*n + 2. Let h(w) = -5*w + 5. Calculate o*h(d) + 8*t(d).
-d + 1
Let m(c) = -c + 8. Let p(x) be the third derivative of -x**3/6 + 9*x**2. Calculate m(y) + 6*p(y).
-y + 2
Let y(l) = -9*l**2 - 5*l + 3. Let g(f) be the third derivative of -f**5/15 - f**4/12 + f**3/6 + 48*f**2. What is -7*g(v) + 3*y(v)?
v**2 - v + 2
Let u be (5/(-3))/((-1)/3). Let w(f) = 4*f**2 + 5*f - 5. Let y = -58 - -59. Let k(x) = -x**2 - x + 1. What is u*k(i) + y*w(i)?
-i**2
Let v(l) = -5*l + 1. Let f(m) = -13*m - 22*m + 34*m. Suppose 0*p - 1 = 3*r - 2*p, 3*p + 8 = -5*r. Calculate r*v(s) + 6*f(s).
-s - 1
Suppose -3*o - 5 = -8*o. Let j(h) = -6*h**3 + 5*h**2 - 5. Let i(n) = n + 11. Let l be i(-7). Let t(q) = q**3 - q**2 + 1. Calculate l*t(g) + o*j(g).
-2*g**3 + g**2 - 1
Let c(p) = 2*p - 83. Let j(y) = 4*y - 167. Determine 9*c(n) - 4*j(n).
2*n - 79
Let y(x) = 19*x**3 + 13*x**2 - 11*x + 2. Let d(w) = -9*w**3 - 6*w**2 + 5*w - 1. Determine -13*d(q) - 6*y(q).
3*q**3 + q + 1
Let i(x) = -29*x**3 + 14*x - 2. Let y(n) = -10*n**3 + 5*n - 1. Give -3*i(m) + 8*y(m).
7*m**3 - 2*m - 2
Let y(s) = -2*s**3 - s**2 + 4*s. Let o(w) = w**3 + w**2 - 3*w. Determine -4*o(r) - 3*y(r).
2*r**3 - r**2
Let q(t) = -85*t**3 + 3*t**2 - 3. Let b(x) = 170*x**3 - 5*x**2 + 5. Calculate 3*b(n) + 5*q(n).
85*n**3
Let o(i) = 10*i**2 - 6*i - 11. Let l(x) = 2*x**2 - x - 2. Calculate -11*l(r) + 2*o(r).
-2*r**2 - r
Let o(s) = 4*s**3 - s**2 + 3*s. Let q(p) = p**3 + p. Give -o(u) + 5*q(u).
u**3 + u**2 + 2*u
Let w(k) = -k**2 + k. Suppose -5*f + 2*o = 3*o, -o = 2*f - 3. Let x(v) = v**2 - 1. Let l = -8 - -12. Suppose -7*c + 11*c = l. Determine c*w(h) + f*x(h).
-2*h**2 + h + 1
Let n(f) = -9*f**2 + 65 - 65 - 5*f + f. Let s(m) = -5*m**2 - 2*m. What is 6*n(v) - 11*s(v)?
v**2 - 2*v
Let s(l) = -5*l**2 - 7*l - 8. Let q be (1 + -3)*39/(-6). Let n(c) = 11*c**2 + 15*c + 17. Determine q*s(v) + 6*n(v).
v**2 - v - 2
Let o(w) = -4*w - 3. Suppose -12*t - 12 = -8*t. Let p(f) = -5*f - 4. Determine t*p(q) + 4*o(q).
-q
Let k(m) = -43*m**2 - 17. Let z(d) = -7*d**2 - 3. Determine -6*k(t) + 34*z(t).
20*t**2
Let d(r) = -5*r - 7. Let t(n) = -n**3 + 4*n**2 + 2*n - 2. Let z be t(3). Let p(v) = -11*v - 15. Give z*d(f) - 6*p(f).
f - 1
Let i(t) = -t**3 + t**2 - 5*t + 5. Let p(x) = -x**3 - x + 1. What is i(v) - 5*p(v)?
4*v**3 + v**2
Let j(x) be the third derivative of x**4/12 - 46*x**2. Let r(a) = 1. Give j(w) - r(w).
2*w - 1
Let k(s) = s + 3. Suppose 4*u + v - 5 = -22, 8 = -3*u + 4*v. Let l(i) be the second derivative of -i**3/6 - i**2 + i. What is u*k(w) - 5*l(w)?
w - 2
Let z(f) = -2*f**3 - f**2 - f + 3. Let p(v) = 2*v**3 + v**2 + v - 4. Give -3*p(d) - 4*z(d).
2*d**3 + d**2 + d
Let c(w) = -5*w. Let u(v)
|
{
"pile_set_name": "DM Mathematics"
}
|
21
Let i = -154 - -65. Let g = 88.99999965 + i. What is g rounded to seven dps?
-0.0000004
Let i be 1410 - (-6 + 66)/(-10). Round i to the nearest 100.
1400
Let r = 11.3 + -11.364. Round r to two dps.
-0.06
Let a(u) = -2*u**2 - 10*u + 3. Let g be a(-6). Let n be 2 + 1740001 + 6 + g. Round n to the nearest 100000.
1700000
Let p = 0.6999988788 - 0.7. What is p rounded to 7 decimal places?
-0.0000011
Let l = -3567478.5000108 - -3567476. Let h = 2.5 + l. Round h to 6 dps.
-0.000011
Let d = -2.5995 + 0.3091. Let z = d + 2.3. What is z rounded to three dps?
0.01
Let p be (21/(-9))/(1/3). Let y(k) = -12 - 1240820*k - 216325*k - 3. Let u be y(p). What is u rounded to the nearest one million?
10000000
Let t = 0.1206 - 4.1556. What is t rounded to one decimal place?
-4
Let r = 193.1 - 100.4. Round r to zero decimal places.
93
Let f(n) = 141*n**2 + 14*n - 12. Let y = 23 - 31. Let c be f(y). What is c rounded to the nearest 1000?
9000
Let l = 5892 + -5895.361. Let h = 14.869 - l. Let q = 18 - h. What is q rounded to 1 dp?
-0.2
Let a = 155.7 + -155.699361. What is a rounded to five dps?
0.00064
Let t(y) = 628*y**3 + y**2 - 24*y - 5. Let x be t(5). What is x rounded to the nearest ten thousand?
80000
Let v = 0.0799 + 0.0671. Round v to one decimal place.
0.1
Let o = 159365 - 95352. Let j = o - 16013. Round j to the nearest 10000.
50000
Let v = 458 - 458.7. Round v to the nearest ten.
0
Let f(g) = 19824*g**3 + 17*g**2 - 30*g + 32. Let w be f(14). What is w rounded to the nearest 1000000?
54000000
Let a = -303.513 - -305.6. What is a rounded to 1 dp?
2.1
Suppose -174*m + 20394000 = -180*m. Round m to the nearest 100000.
-3400000
Let l = 104.0000194 + -104. What is l rounded to 6 decimal places?
0.000019
Let h = 0.0302 - -298.9698. Let t = -241.491 + -59.319. Let y = t + h. Round y to 1 decimal place.
-1.8
Let w = 44.683 + -44.5. Let g = w + -0.182774. Round g to 4 decimal places.
0.0002
Let f(d) = -5*d - 689*d**2 - 16 + 49*d - 10 + d. Let u(z) = 138*z**2 - 9*z + 5. Let g(s) = 2*f(s) + 11*u(s). Let r be g(7). Round r to the nearest one thousand.
7000
Let m = -8520.04571 - -8520. Let r = 0.0488 + m. What is r rounded to four dps?
0.0031
Let z = -11067 - -11064.9059. Let j = -2.1 - z. Round j to three dps.
-0.006
Suppose 7*a - 2*a - 3*t = 9952, -4*a = -2*t - 7960. Let k = a - 758. Round k to the nearest one hundred.
1200
Let l be 791695 + (-2)/(-6)*(4 + 11). Round l to the nearest one hundred thousand.
800000
Suppose 19 = 8*l - 5. Let g be (l - 5) + (-4)/(-1). Suppose -8 - g = 2*u, -y + 2*u - 2129990 = 0. Round y to the nearest one hundred thousand.
-2100000
Let l = -1127 - -1128.421. What is l rounded to one decimal place?
1.4
Let g = 846210 - 846220.107896. Let q = g + -4.892169. Let r = q + 15. What is r rounded to 5 decimal places?
-0.00007
Let a = 1294186 + -1294082.0282. Let v = -104 + a. Round v to three dps.
-0.028
Let i(j) = -2*j + 11. Let u be i(-7). Suppose 3*l + u = -2*l. Let a be (-2202)/l - 8/20. Round a to the nearest one hundred.
400
Let u = 83 + -40. Let d = 45.44 - u. What is d rounded to 0 dps?
2
Suppose -n = 1, -5*n - 18 = -2*c - 1. Let j be (c/(-4))/((-2)/4). Suppose 501 = -0*g + j*g. What is g rounded to the nearest ten?
170
Let n = -431.999997716 - -432. Round n to 6 dps.
0.000002
Let a = -0.13 - 25.87. Let m = 17.9905 - -8.0078. Let r = m + a. Round r to 3 decimal places.
-0.002
Let j = 11.26 - -0.24. Let l = j - 9. Let q = l + 23.4. What is q rounded to the nearest integer?
26
Let z(t) = -3304*t**2 + 20*t + 36. Let m be z(-7). What is m rounded to the nearest one hundred thousand?
-200000
Let d = -22605.78460146 - -22598.4846. Let f = 7.3 + d. What is f rounded to seven decimal places?
-0.0000015
Let i be (-4)/(-18) + 50/18. Let v be 1/(-3) - 35942/(-6). Suppose 1990 = x + 2*j - 4*j, -v = -i*x + 2*j. What is x rounded to the nearest 100?
2000
Let x = 205.5028 + 0.1972. Round x to the nearest 10.
210
Let r = 0.558 + -0.557995033. Round r to 7 decimal places.
0.000005
Let k = -0.0336 - -0.0583. Let u = k - 0.2377. Round u to two decimal places.
-0.21
Let p be (-9)/6*(-8)/3. Suppose o = -p*j + 85, 5*j + 70 - 185 = -3*o. Suppose -17*r = -j*r + 3600000. What is r rounded to the nearest 1000000?
1000000
Let w = 6.813 - 6.8121117. What is w rounded to 4 dps?
0.0009
Let j = -123.378 - 0.122. What is j rounded to the nearest ten?
-120
Let l = -112 + 63. Let s = -273 - l. Let y = s + 215.1. What is y rounded to the nearest integer?
-9
Suppose -t + n - 3400000 = 0, 13094383 = -5*t - 3*n - 3905617. What is t rounded to the nearest 100000?
-3400000
Let f = -0.041 - 21.959. Let q = f + 21.83. Let k = q + 0.1644. Round k to 3 decimal places.
-0.006
Let b = -0.3075 + -15.4825. Round b to the nearest ten.
-20
Let t = 0.821 - 0.82. Let n = t - 0.047. What is n rounded to two dps?
-0.05
Let f = -8801.79 + 500621.79. Let z = f - 491819.8999996. Let c = z - 0.1. Round c to six dps.
0
Suppose 112*t + 25750 = 107*t. What is t rounded to the nearest one hundred?
-5200
Let q
|
{
"pile_set_name": "DM Mathematics"
}
|
6. Let z = g + -0.16. Is o at least as big as z?
True
Let c be (-2)/(-3)*12/(-508). Let t = -365/1016 + c. Which is smaller: t or 0?
t
Let a = 41110248/35 + -1174261. Let v = a + -2084/7. Let j = -20 + v. Which is bigger: j or -1?
j
Suppose -3*j - 37 = -3*y + 2*j, -4*y + 3*j = -31. Let u be (12/(-9))/(y/(-6)). Let n be -1 - (u + 0)/(-1). Is n equal to -2/11?
False
Let w = 1298/7 + -185. Let o be (-10)/28*2 + 1. Which is greater: w or o?
w
Suppose 4*y - 6*y = -16. Let x = 23 + -20. Let i be y/x*(-6)/4. Which is smaller: -2 or i?
i
Let c(x) = -2*x**3 + 6*x**2 + 3*x - 2. Let d be c(4). Is -22 less than or equal to d?
True
Suppose 4*i - 8 - 4 = 0. Suppose -5*r + i*j = -8, 5*r - 4 = -j - 0*j. Which is bigger: 0 or r?
r
Let f = -4 + 3. Let q(x) = x**2 + 11*x + 16. Let n be q(-10). Which is smaller: f or n?
f
Suppose -35 = -4*w - 3*g, -3*w = -2*w + 3*g - 11. Which is smaller: w or 9?
w
Let r be ((-20)/6)/((-1)/3). Suppose -5*x = -30 + r. Let f be 4/(-3)*1*-3. Is f at least x?
True
Suppose -i - 2*k + 20 = 3*k, 2*i = -5*k + 25. Suppose r = -5*h + 11, -5*h + 7 = -3. Let g = i + r. Which is smaller: g or 4?
4
Let r = 0.1 - -0.3. Let h = r + -1.5. Let n = h - 4.9. Is 1 at least n?
True
Suppose -4*s + 14 - 38 = 0. Let l be 3/s + 6/4. Which is greater: 0 or l?
l
Let c be (7 - 1)*(-1)/(-2). Let p be (-2)/c + 28/(-3). Let z(x) = -x**2 - 11*x - 10. Let k be z(p). Which is smaller: 5/4 or k?
k
Let s be 34/(-90) - 18/81. Is -2 equal to s?
False
Let w = 221/1501 + 5/79. Which is greater: 1 or w?
1
Suppose 0 = u + 4*u. Which is greater: u or -5/6?
u
Let n = 35 + -22. Let m = -12 + n. Is m bigger than -1/10?
True
Let w be ((-18)/(-4509))/((-4)/3). Which is smaller: w or 0?
w
Suppose 3*l = -l + 5*q - 19, -5*l = -5*q + 20. Let f be ((-385)/(-100) - 4)/((-1)/(-12)). Which is greater: l or f?
l
Let k be 4*3/6 - -4. Suppose k = 3*x + m, 6*m - m = -5*x + 10. Which is smaller: 4 or x?
x
Let r = -12 - -13. Is r less than or equal to -3?
False
Suppose 7*y = -6*y - 26. Let b = -7 + 4. Is b at least y?
False
Suppose 3*f = -3*b + 8*b + 5, -16 = -b + 4*f. Is -9 >= b?
False
Let s be (-2)/((-4)/(4 + -3)). Which is smaller: s or 0?
0
Let b = -2 + 10. Suppose -8 - 2 = -5*j. Suppose -j*a - b = -2. Is a at least as big as -1?
False
Let a = -5 + 2. Let p = 3.4 + a. Let q = p - 0.5. Which is greater: -1 or q?
q
Let n = 13.9 - 2.9. Let o = n + -10.96. Is o at most 0?
False
Suppose 16 = -r + 5*r. Suppose 0 = 2*v + r - 18. Are 9 and v unequal?
True
Let t(w) = 2*w**2 + 3*w - 10. Let c be t(6). Are 79 and c equal?
False
Suppose 3*b - 6*p + 12 = -3*p, 0 = -2*b - 3*p + 17. Let v = b - -5. Suppose m = -0*m + v. Which is smaller: -0.1 or m?
-0.1
Let o be ((-6)/(-333))/(2/(-54)). Let d = 22/259 - o. Let p = -0.1 - -0.2. Which is bigger: d or p?
d
Suppose -5*v + 0*v - 50 = 0. Let q be 0/2 - v/2. Is 4 greater than q?
False
Let p = 2.3 - -2.2. Let a = -5 + p. Let w = a + 0.7. Which is smaller: 2 or w?
w
Suppose 1 + 3 = -2*q. Let p(r) = -r**3 + 12*r**2 - 10*r - 14. Let l be p(11). Which is smaller: q or l?
l
Let b = -2 + 8. Suppose -5*j - 7 = 3*s, 5*s + 0*j = -3*j + 15. Is s at least b?
True
Let g be 50/(-3)*(-18)/(-15). Do g and 2 have the same value?
False
Let a(x) = x**3 + 5*x**2 - 1. Let j = 15 + -20. Let d be a(j). Is d < -1/3?
True
Suppose -v + 2*h = -0 + 1, 4*h + 4 = 0. Is v less than -1?
True
Let a = -20.52 + 24. Let w = a - -0.32. Let r = -0.8 + w. Is r equal to 0.1?
False
Let d = -3693 - -77317/21. Let g = 88/7 + d. Let y(o) = o - 4. Let j be y(6). Is g < j?
True
Let l be 2/(-10)*5/(-4). Let k = -4 - -8. Let a(z) = -z**2 + 5*z - 5. Let t be a(k). Which is greater: l or t?
l
Let x(v) be the third derivative of -v**5/60 + 5*v**4/24 - v**3/2 - v**2. Let h be x(4). Which is smaller: h or -2/29?
-2/29
Let m be (-12625)/(-10)*(-1)/(-15). Let o = 84 - m. Let u be -2 + (-1 + 4)*1. Which is greater: o or u?
u
Let o = 0 - 0. Let p(n) = -n**2 - 3*n + 3. Let i be p(-3). Suppose -i = -c - 2*c. Which is bigger: o or c?
c
Let c(q) = q**2 + 11*q + 11. Let a be c(-7). Which is bigger: a or -16?
-16
Suppose 8*m = 2*m + 12. Suppose -3 = -m*q - 5. Is q equal to 4?
False
Let q be (2/(-3))/((-30)/(-315)). Are -1/5 and q unequal?
True
Let h = 106 + -105.8. Which is greater: -0.38 or h?
h
Let l be ((-6)/(-4))/(42/(-1560)). Let t = -56 - l. Let z(d) = d**3 - 2*d**2 + d. Let h be z(1). Are t and h unequal?
True
Suppose -4*r - 4 = -4*c, -5*c - 2*r - r = 19. Let l be c*((-6)/(-2) + 0). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
14, 0 = 5*i - 3 - 7. Suppose 5*k = -41 + 106. What is the remainder when k is divided by t?
5
Let x(i) = 9*i**2 - 2*i - 3. Suppose 3*a = -a - 16. Let q be (12/15)/(a/10). Calculate the remainder when x(q) is divided by 20.
17
Suppose 24 = -8*t + 2*t. What is the remainder when (-495)/18*(-3)/((-15)/t) is divided by 9?
4
Let h be 14/(-4) - 10/(-20). Let w(t) = 6*t - 23. What is the remainder when (1 + 68)*h/(-9) is divided by w(6)?
10
Let b = -21 + 36. What is the remainder when ((-114)/90 - 9/(-15))*-87 is divided by b?
13
Let s(z) = z**3 + 5*z**2 - 5*z + 7. Let a be s(-6). Let j be (3 + -1)*12/8. Let i = j + a. What is the remainder when 13 is divided by i?
1
Suppose -27*r + 1357 = -2423. What is the remainder when r is divided by 41?
17
Let h(k) = -38*k**2 - 2*k - 4. Let l(r) = r**2 + 2. Let q(o) = -h(o) - l(o). What is the remainder when q(-1) is divided by 14?
9
Let r(a) = -12*a + 1. Let x be 8/60 + (-416)/(-30). Let u(z) = -z**2 + 17*z - 20. Calculate the remainder when r(-7) is divided by u(x).
19
Suppose -2*a - 3*m = -82, -5*a + m + 137 + 85 = 0. Suppose 0 = 2*j - a - 14. What is the remainder when j is divided by 8?
5
Let p = -24 - -41. Suppose 15*w = 238 + p. What is the remainder when w is divided by 4?
1
Let s = 1664 + -743. Calculate the remainder when s is divided by 14.
11
Suppose 1 = 4*g - 3. Let s(j) = 8*j**3 + j - 1. Let a be s(-3). What is the remainder when g/2*a/(-5) is divided by 12?
10
Let g = -1248 + 1985. What is the remainder when g is divided by 37?
34
Suppose 34 = -t - 5*w + 105, 3*w = -4*t + 216. Suppose 4*l + t - 491 = 0. Suppose -11*p = -6*p - l. Calculate the remainder when p is divided by 12.
10
Suppose -4*y = 48 + 72. Let s = y - -39. Suppose f + 30 = 4*j - 15, -j + f = -s. Calculate the remainder when 21 is divided by j.
9
Let j = 8 + 14. Let r(o) = -o**2 - 6*o + 7. What is the remainder when j is divided by r(-5)?
10
Let o(g) = g**3 + 3*g**2 + 3*g - 2. Let k be o(-4). Let w be 2/8 - k/8. What is the remainder when 6 is divided by -1 + w + 0/2?
0
Suppose -3*t - 535 = -8*t. What is the remainder when t is divided by (-45)/(-5)*(-6)/(-2)?
26
Let r(c) = c**3 - 28*c**2 - 89*c - 75. Calculate the remainder when 928 is divided by r(31).
46
Suppose -4*x = -5*x - m + 45, -2*x - 5*m = -105. Calculate the remainder when 117 is divided by x.
37
Let z = -35 - -59. What is the remainder when 97 is divided by z?
1
Suppose -367 = 2*v - 373. What is the remainder when v is divided by 1?
0
Let x(g) = -7*g - 4. Let v be x(-2). Suppose 0 = d + 4 - v. What is the remainder when (-1)/4 + (-122)/(-8) is divided by d?
3
Suppose -4*d - 24 = -4*s, 3*d = -5*s - d + 30. What is the remainder when 3*(2 - (-15)/9) is divided by s?
5
Suppose -2*z - 8 = 0, 0 = i - 4*z - 7 - 25. Suppose 4*m + m = 3*o - 25, -o + 6 = -4*m. What is the remainder when 306/o - (-8)/20 is divided by i?
15
Let p(u) = u**3 - u**2 + 2*u + 22. Let z(b) = b**2 + 4*b + 4. Let o be z(5). Suppose 4*w = -17 + o. What is the remainder when p(0) is divided by w?
6
Calculate the remainder when 149 is divided by (-417)/(-9) - 2/(-3).
8
Let a = -130 + 93. Let r = a - -176. Suppose -o - o + 92 = -3*l, -4*l - r = -3*o. What is the remainder when o is divided by 25?
24
Let p(d) = -d**3 + 20*d**2 - 17*d + 17. Let g(l) = -l**2 - 8*l + 12. Let f be g(-7). Calculate the remainder when p(f) is divided by 21.
13
Suppose -3*u - 72 = -3*i, -4*i + 0*u = u - 121. What is the remainder when 53 is divided by i?
24
Suppose 10*x - 7*x - 51 = 0. What is the remainder when (-10)/30 + (-148)/(-3) is divided by x?
15
What is the remainder when 46 - (6/2 - 1) is divided by 15/(-80)*16/12 - 525/(-20)?
18
Let z = -41 - -52. Let x(c) = -c**3 + 10*c**2 + 14*c + 13. What is the remainder when x(z) is divided by 10?
6
Let h = -12 + 16. Suppose 0 = -h*i + 15 + 69. Calculate the remainder when ((-12)/10)/(9/(-300)) is divided by i.
19
Suppose -42 = -6*g - 12. Suppose 4*k + 2*w = 130, -4*k + 5*w = -g*k + 10. Let j(q) = 8*q**2 + 1. What is the remainder when k is divided by j(1)?
8
Suppose -k - 33 - 13 = -m, 3*m = -2*k + 118. Suppose -b = -l + 8, -2*l + l = 5*b - 26. What is the remainder when m is divided by l?
9
Suppose -15*p = -10*p - 860. What is the remainder when p is divided by 29?
27
Let x be (1/3)/((-1)/(-21)). Suppose -16 = -x*o + 3*o. Suppose -u + 2 + o = 0. Calculate the remainder when 22 is divided by u.
4
Let z be (7 - -881) + (0 - 3). Suppose -10*q = -z + 275. Calculate the remainder when q is divided by 11.
6
Suppose 3*c - 87 = 3*u - 21, -3*u - 32 = -c. Calculate the remainder when 591 is divided by c.
13
Let p(v) = -v**2 + 4*v + 22. Let r be p(0). Suppose -4*s + 31 + 9 = 4*o, s - 2*o = r. What is the remainder when 81 is divided by s?
11
Suppose -2*o + y + 31 = 0, -2*y - 2*y = 2*o - 36. Calculate the remainder when 19 is divided by o.
3
Let z = 812 - 557. Calculate the remainder when z is divided by 65.
60
Suppose n + n - 43 = -5*j, 4*n - 4*j - 72 = 0. What is the remainder when n is divided by 2 - (2/3 - (-64)/(-6))?
7
Let w = 1224 + -1128. What is the remainder when w is divided by 40?
16
Let w = -564 - -607. Calculate the remainder when 269 is divided by w.
11
Calculate the remainder when 122 is divided by ((-
|
{
"pile_set_name": "DM Mathematics"
}
|
3) + (306 - 259)
26
What is 8 + (-5 - 4) + -22 + 58?
35
What is the value of 14 + (3 - (11 + -4)) - (-1 - (-20 + 9))?
0
What is -143 - ((11 - ((33 - -2) + -9)) + 4) - -15?
-117
(3 + -11 - 12 - -6) + 138 - 18
106
Calculate (-12 + 2 - 7) + -8 + -2 + 10.
-17
Evaluate 13 - (-1 + 4 + -3 - -10) - (-53 - 1).
57
5 + -19 + -9 + 15 + 37
29
What is -36 - -11 - -23 - (7 + (-48 - (-7 - -7)))?
39
Calculate -40 - (-46 + -34) - 83.
-43
-42 + 147 + -100 + -129 + -8
-132
92 - (107 - (68 - 7))
46
-6 - 4 - ((32 - 15) + 0 + -31)
4
(13 + -14 - 4) + -31 + 97
61
7 + -7 + (58 - (-7 + 6 - 11))
70
What is 1 + 21 - ((64 - 31 - -14) + -49)?
24
Calculate 56 + (36 - -11 - 117) + 55 + 0.
41
Calculate -46 - (27 - (10 + -28) - 30).
-61
What is 152 - 13 - (251 - 77)?
-35
What is the value of -17 + 29 - 66 - ((7 - 10) + (1 - -2))?
-54
What is (-2 - (-19 - -21 - (-2 - -19))) + -1?
12
Evaluate -165 + 57 + (28 - -7).
-73
Calculate 355 - 336 - (0 + -93).
112
Calculate -30 + 2 + -5 + 20 - (-1 + 1 + 8).
-21
What is (-40 - (43 - (73 + 30))) + 22?
42
What is 0 + -22 + -1 + 25 + (34 - (-7 - -55))?
-12
What is the value of 16 + -1 - (-30 + (27 - 19) - -13 - -3)?
21
-23 + (-36 - -19 - -21) + 9
-10
What is the value of 108 + -98 + (9 + -13 - -4)?
10
What is -4 + -5 + -1 - (14 + -3 + 5)?
-26
Evaluate -38 + (-71 - (-41 - 52)).
-16
Calculate (-53 - -82) + 27 - 126.
-70
Evaluate 36 - (-13 - (0 + -6 + 5 - 4)).
44
What is the value of (-181 - -111) + (-49 - -124)?
5
11 + 3 + 15 + 27 + -65
-9
Calculate 108 - (-101 + 76 - -66).
67
Calculate -151 - -162 - -190 - 75.
126
What is the value of (232 + -249 - (40 + -9)) + 182?
134
9 + (13 + (-2 - (15 - 4)) - 4)
5
What is -33 + (-100 - -137 - 95)?
-91
Evaluate -186 + 146 - ((-1 - -2) + 3 + -12 + 5).
-37
14 - (4 + 3) - (5 - (-11 - -1))
-8
What is -56 + (-10 - 7) + 18 + -4 + 0?
-59
Calculate -72 - (-34 + 83 + -92).
-29
Calculate 3 + 95 - (3145 - 3114).
67
Evaluate -37 - -2 - (-472 + 467).
-30
(-39 - (20 - 50)) + 53 + -2 + -11
31
Evaluate 30 + 0 + -1 + 47 + -102 + 45.
19
What is 3 + 9 + (8 - 0) + (-50 + 19 - -56)?
45
-1 - 13 - (134 + -81 + -26)
-41
-3 - -104 - (53 + -90 + 47)
91
Evaluate 55 + (0 - 5) - (-62 - -42).
70
Evaluate 6 - ((-11 - -27) + -7) - (0 - -2) - -54.
49
What is the value of 74 + ((20 - (22 - -8)) + 6 - -6)?
76
50 + (-1 - 2) + (-14628 - -14657)
76
Calculate 96 + (38 - 97) - -20.
57
-3 - -20 - ((-7 - (5 + -13)) + (14 - 20))
22
-58 + -24 + 9 - -41
-32
What is the value of 107 - 91 - -120 - 96?
40
What is (-2003 - -2034) + -46 + -1?
-16
64 + -76 + (-10 - 63) + (-1 - 5)
-91
9 + -2 + ((2 + 4 - 5) + -1 - 0)
7
Evaluate 24 - (17 - ((-20 - -12) + 55) - -14).
40
What is 0 + (10 - (30 + -34) - (-2 + -39))?
55
What is the value of 2 + 70 - (292 + (-511 - -257))?
34
Evaluate 0 + (9 - 11) + (-9 - (5 - 27)).
11
Evaluate (-9 - 4 - (-5 + 2)) + (-51 - -9).
-52
What is -35 + (-87 - -36) + 56?
-30
Evaluate -1 + -13 + (-23 - (39 + 0 - (1000 - 1021))).
-97
(11 + -10 - 24) + 43 + 9
29
What is the value of (18 - 1 - (299 - 299)) + -6?
11
Calculate (-62 - (0 + 1 - -2)) + (-5657 - -5645).
-77
Calculate 702 - 694 - (2 - (-63 + 0) - (-7 + 6)).
-58
-83 - ((3 - (1 - 3)) + (-6 - 53) + 51)
-80
Calculate 66 - (12 + -58 - (-149 + 58)).
21
Evaluate -3 - (82 + -91 + (3 + -1 - 17)).
21
What is 43 + -34 + (3 - 77)?
-65
Evaluate 51 + (-46 - (-30 + 44)).
-9
22 + -8 + 8 + -29
-7
Calculate 50 + (-72 - -36) + (2 - -56) + -1 + 2.
73
-6 - (2 + -14 - ((57 + 2 - 20) + 1))
46
Evaluate 90 - (-66 - 39 - -102).
93
Calculate (12 + -8 + 25 - 27) + 10.
12
Calculate 26 - -13 - (1 + 6 + (-3 - (1 + 3))).
39
Evaluate (-86 - -22) + 99 + -70.
-35
-23 + 134 + -94 - -25
42
((6 - 11) + -12 + 17 + -11 - -10) + -59
-60
Evaluate -17 + (115 - 9) + -73.
16
-36 + (-35 - (30 - 35))
-66
Evaluate (1 - -33) + (28 - 89 - -75).
48
-6 + 58 + -84 - -6
-26
(-7 + 14 - (-3 - (-19 + 13))) + 28
32
1 - (40 + -2 - -15) - (1 + 14 + 0)
-67
Calculate (8 - 41) + 27 - (0 + 57).
-63
Calculate 85 - (-132 + 55) - 45.
117
What is 9 + 14 + -14 + -7 - 12?
-10
Evaluate 7 + 28 + -36 + -22.
-23
69 - (-5 + 2 + 23 + 17 + -37)
69
-6 + (5 - (3 + 1 - -10)) + 8 + -63
-70
What is (-434 - (-303 - 139)) + (-79 - 1 - (-1 + 2))?
-73
Calculate -12 + -1 + -8 + 40 + 9 + 6.
34
What is the value of (6 - (1 + -4)) + (-56 - (16 + -28 + -15))?
-20
Evaluate (-97 + 76 - -31) + -66 + 3 + 3 + -3.
-53
What is the value of (-76 - -10) + 15 + -4 - -21?
-34
Evaluate 6 + 36 + -50 + 23.
15
|
{
"pile_set_name": "DM Mathematics"
}
|
between 5:24 PM and 3:07 AM?
583
How many minutes are there between 6:45 AM and 10:22 AM?
217
What is 679 minutes before 3:15 PM?
3:56 AM
How many minutes are there between 5:11 PM and 11:57 PM?
406
How many minutes are there between 10:43 PM and 1:18 AM?
155
What is 583 minutes after 2:46 AM?
12:29 PM
How many minutes are there between 11:46 PM and 8:14 AM?
508
How many minutes are there between 9:08 AM and 3:56 PM?
408
How many minutes are there between 5:17 AM and 2:47 PM?
570
How many minutes are there between 9:54 PM and 10:45 PM?
51
How many minutes are there between 10:49 AM and 11:28 AM?
39
What is 405 minutes after 5:22 PM?
12:07 AM
What is 530 minutes before 4:27 PM?
7:37 AM
What is 209 minutes before 9:10 AM?
5:41 AM
What is 159 minutes before 11:24 PM?
8:45 PM
What is 675 minutes before 11:18 PM?
12:03 PM
What is 699 minutes after 12:08 PM?
11:47 PM
How many minutes are there between 2:35 PM and 10:58 PM?
503
What is 693 minutes before 9:45 PM?
10:12 AM
What is 514 minutes after 9:49 AM?
6:23 PM
What is 670 minutes after 9:40 AM?
8:50 PM
What is 53 minutes after 9:06 PM?
9:59 PM
What is 41 minutes after 4:17 AM?
4:58 AM
How many minutes are there between 8:42 AM and 7:10 PM?
628
How many minutes are there between 8:46 PM and 4:29 AM?
463
How many minutes are there between 12:43 PM and 11:03 PM?
620
How many minutes are there between 1:36 PM and 11:53 PM?
617
How many minutes are there between 7:06 PM and 2:05 AM?
419
How many minutes are there between 6:18 AM and 6:56 AM?
38
What is 184 minutes before 4:28 PM?
1:24 PM
What is 625 minutes after 5:18 PM?
3:43 AM
How many minutes are there between 9:44 AM and 8:04 PM?
620
What is 714 minutes before 1:59 PM?
2:05 AM
What is 672 minutes after 9:01 AM?
8:13 PM
How many minutes are there between 11:42 AM and 6:24 PM?
402
What is 664 minutes after 6:40 PM?
5:44 AM
What is 488 minutes before 11:07 PM?
2:59 PM
How many minutes are there between 11:23 AM and 6:22 PM?
419
How many minutes are there between 6:18 PM and 3:13 AM?
535
How many minutes are there between 3:53 AM and 6:22 AM?
149
What is 50 minutes after 3:55 PM?
4:45 PM
How many minutes are there between 5:16 PM and 2:59 AM?
583
How many minutes are there between 11:08 AM and 10:33 PM?
685
What is 448 minutes before 4:01 AM?
8:33 PM
How many minutes are there between 2:14 PM and 2:26 PM?
12
How many minutes are there between 5:24 PM and 1:06 AM?
462
How many minutes are there between 3:45 PM and 9:59 PM?
374
What is 401 minutes after 10:34 PM?
5:15 AM
How many minutes are there between 2:59 PM and 7:23 PM?
264
How many minutes are there between 1:38 AM and 2:41 AM?
63
How many minutes are there between 10:10 PM and 8:22 AM?
612
What is 493 minutes before 10:45 PM?
2:32 PM
What is 507 minutes after 11:01 PM?
7:28 AM
What is 530 minutes after 5:46 AM?
2:36 PM
What is 401 minutes after 5:12 AM?
11:53 AM
What is 250 minutes after 4:53 AM?
9:03 AM
What is 36 minutes after 9:08 PM?
9:44 PM
How many minutes are there between 7:22 PM and 10:12 PM?
170
What is 202 minutes after 1:01 PM?
4:23 PM
How many minutes are there between 4:01 PM and 3:20 AM?
679
What is 296 minutes after 8:17 AM?
1:13 PM
How many minutes are there between 12:58 AM and 10:17 AM?
559
What is 472 minutes after 5:12 AM?
1:04 PM
What is 596 minutes after 9:31 AM?
7:27 PM
How many minutes are there between 6:30 PM and 7:59 PM?
89
What is 309 minutes before 6:56 PM?
1:47 PM
How many minutes are there between 5:55 AM and 1:56 PM?
481
How many minutes are there between 4:48 AM and 2:43 PM?
595
How many minutes are there between 1:01 AM and 11:56 AM?
655
What is 354 minutes after 12:06 AM?
6:00 AM
What is 152 minutes before 6:50 PM?
4:18 PM
What is 432 minutes before 4:48 PM?
9:36 AM
What is 504 minutes before 12:49 PM?
4:25 AM
What is 410 minutes after 11:15 PM?
6:05 AM
How many minutes are there between 10:58 PM and 11:17 PM?
19
What is 582 minutes after 5:17 AM?
2:59 PM
How many minutes are there between 3:58 PM and 9:07 PM?
309
What is 410 minutes before 1:42 PM?
6:52 AM
How many minutes are there between 5:40 AM and 2:32 PM?
532
What is 115 minutes before 12:36 AM?
10:41 PM
How many minutes are there between 12:57 AM and 12:04 PM?
667
What is 699 minutes before 5:12 AM?
5:33 PM
What is 456 minutes before 1:52 AM?
6:16 PM
What is 154 minutes before 3:51 PM?
1:17 PM
How many minutes are there between 6:09 AM and 9:26 AM?
197
What is 662 minutes before 3:22 AM?
4:20 PM
How many minutes are there between 11:39 PM and 3:06 AM?
207
What is 402 minutes after 8:15 AM?
2:57 PM
How many minutes are there between 2:56 AM and 12:47 PM?
591
How many minutes are there between 4:36 PM and 1:03 AM?
507
What is 625 minutes before 2:06 PM?
3:41 AM
How many minutes are there between 5:12 PM and 7:19 PM?
127
What is 27 minutes before 6:30 PM?
6:03 PM
How many minutes are there between 11:55 PM and 1:12 AM?
77
What is 546 minutes after 8:09 AM?
5:15 PM
How many minutes are there between 2:51 AM and 12:10 PM?
559
What is 661 minutes before 10:50 PM?
11:49 AM
How many minutes are there between 9:39 PM and 9:24 AM?
705
What is 466 minutes before 9:36 AM?
1:50 AM
What is 549 minutes after 3:09 PM?
12:18 AM
How many minutes are there between 12:29 PM and 8:30 PM?
481
What is 295 minutes after 9:33 AM?
2:28 PM
How many minutes are there between 4:26 AM and 10:42 AM?
376
What is 158 minutes before 9:23 AM?
6:45 AM
What is 344 minutes after 1:01 AM?
6:45 AM
What is 317 minutes after 4:13 AM?
9:30 AM
How many minutes are there between 11:29 AM and 2:35 PM?
186
How many minutes are there between 10:56 PM and 8:14 AM?
558
What is 39 minutes after 8:08 PM?
8:47 PM
What is 371 minutes after 6:37 AM?
12:48 PM
How many minutes are there between 11:07 PM and 8:37 AM?
570
What is 547 minutes after 1:39 AM?
10:46 AM
What is 595 minutes before 9:39 PM?
11:44 AM
How many minutes are there between 5:00 AM and 9:12 AM?
252
How many minutes are there between 2:36 AM and 2:45 AM?
9
What is 678 minutes before 3:16 AM?
3:58 PM
How many minutes are there between 4:40 PM and 11:21 PM?
|
{
"pile_set_name": "DM Mathematics"
}
|
24443000131 - -1?
2224443000132
In base 5, what is 1230442 + 44022?
1330014
In base 10, what is 5044 - -22850?
27894
In base 4, what is 101000203 - 2330?
100331213
In base 15, what is -17c1254d - -3?
-17c1254a
In base 3, what is -1 + -1000210200012122?
-1000210200012200
In base 4, what is 2 + -202110333221?
-202110333213
In base 8, what is 673 + 246324?
247217
In base 11, what is 1399025 + 120?
1399145
In base 6, what is 2255 - 502053?
-455354
In base 4, what is -1023 + -320321301?
-320322330
In base 4, what is 1011 + 3130221?
3131232
In base 8, what is -401072076 - 2?
-401072100
In base 10, what is 17 + -540150?
-540133
In base 11, what is -3 + -30044737?
-3004473a
In base 8, what is -1665751 + 201?
-1665550
In base 12, what is 12987923 - 0?
12987923
In base 14, what is -4389a2 + -d?
-4389b1
In base 12, what is a - 829850?
-829842
In base 12, what is 0 + 31b038?
31b038
In base 5, what is -23 - -443232142?
443232114
In base 5, what is 340211 - -11423?
402134
In base 12, what is -5aa7 + -347?
-6232
In base 13, what is 3a + -325109?
-32509c
In base 2, what is 10001100100100 + -10000111010010?
101010010
In base 6, what is 345303454 - 0?
345303454
In base 3, what is -1112202001 - 222222?
-1120202000
In base 15, what is -196e0b + -16?
-196e22
In base 7, what is -34063013 - -3?
-34063010
In base 5, what is -210114414122 + -3?
-210114414130
In base 3, what is 1220111211100211 + 10?
1220111211100221
In base 4, what is -10 + -122313301313?
-122313301323
In base 6, what is 504232244 - -12?
504232300
In base 12, what is -6b8880 - 61?
-6b8921
In base 12, what is -150a946 + -29?
-150a973
In base 16, what is 3171 - -384?
34f5
In base 3, what is 101022001 + 12010100?
120102101
In base 12, what is -19715 + -37?
-19750
In base 11, what is -858277 - 71?
-858338
In base 6, what is -40113 + -3312?
-43425
In base 7, what is 444252535 - 5?
444252530
In base 15, what is -72497 + 3?
-72494
In base 3, what is 10202202020020101 - -10?
10202202020020111
In base 2, what is 10000001101100010100011100 - 101?
10000001101100010100010111
In base 11, what is 2782212 + -40?
2782182
In base 10, what is 2 + 199989168?
199989170
In base 2, what is 1101 - -1101000001011110101?
1101000001100000010
In base 2, what is -100110111101011 + 11011110110?
-100011011110101
In base 7, what is 16 - 366336?
-366320
In base 10, what is 19 - 958994?
-958975
In base 9, what is 342818 + 770?
343688
In base 7, what is -2202202130 - -2?
-2202202125
In base 4, what is -1000023031 + 300?
-1000022131
In base 11, what is 132184 + 5?
132189
In base 7, what is -33203 + -504?
-34010
In base 3, what is 21110200 + -1011022?
20022101
In base 7, what is -34 - 653022450?
-653022514
In base 15, what is -bec5 - -4401?
-7ac4
In base 9, what is -2066 + 204388?
202322
In base 14, what is -2019223 - -1b?
-2019206
In base 3, what is -1 - -2202221001220010?
2202221001220002
In base 6, what is -45 - -3253041?
3252552
In base 14, what is -12c6 + -8995?
-9c7b
In base 13, what is -8b - -a20c1b?
a20b60
In base 11, what is 0 - 29a59892?
-29a59892
In base 6, what is 13330 + -11351535?
-11334205
In base 13, what is 172 + -519b?
-5029
In base 2, what is -10010011110 - 1100001000011?
-1110011100001
In base 4, what is 2113300 - 1032210?
1021030
In base 14, what is 1624 + 8830?
a054
In base 11, what is 9 + -2937070?
-2937062
In base 6, what is -14300015 + 3205?
-14252410
In base 12, what is -5ab5 + 2817?
-329a
In base 7, what is 226 + 6655230?
6655456
In base 11, what is 608 + 4046?
4653
In base 7, what is 3526542342 + 3?
3526542345
In base 5, what is 120330112 - -1340?
120332002
In base 14, what is 3a22 - 1b55?
1cab
In base 6, what is -12321 - 502351?
-515112
In base 14, what is 7619068 + 8?
7619072
In base 8, what is -4734617 - -11?
-4734606
In base 6, what is 114 - 155251325?
-155251211
In base 5, what is -44 + -113040421?
-113041020
In base 14, what is 711 + 8675?
8d86
In base 7, what is 0 + 112004063?
112004063
In base 13, what is -1 - -111695c9?
111695c8
In base 14, what is -4 - -34bc3a?
34bc36
In base 11, what is 118 - 13a6615?
-13a64a8
In base 8, what is -1274 + 71742?
70446
In base 13, what is 407a + -1?
4079
In base 11, what is 122 + -a5530?
-a5409
In base 10, what is 1009 + 31778?
32787
In base 2, what is 1010010111011101000101 + -11?
1010010111011101000010
In base 14, what is -5 - -9110?
9109
In base 11, what is -5129048 - 1?
-5129049
In base 13, what is -9b26c19 + -4?
-9b26c20
In base 10, what is 348007 - -104?
348111
In base 15, what is -2 - -26ac7b?
26ac79
In base 14, what is -1911 + -1009b?
-119ac
In base 9, what is -8428 - -6833?
-1485
In base 9, what is 34447415 + 33?
34447448
In base 2, what is 1010 - 11101111101111100100111?
-11101111101111100011101
In base 9, what is 0 + 1470172?
1470172
In base 5, what is 4123140323 -
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -4*d**2 - 6*d - d**3 + 4*d**2 + 7*d**o - d**2. Give f(4).
8
Suppose 4*s - f = 3*s - 7, -s = -2*f + 10. Let t(b) = 2*b**2 + 2*b + 4. Let u(o) = -3*o**2 - o - 5. Let r(w) = s*t(w) - 3*u(w). What is r(4)?
-5
Let a(u) = -u**3 - 4*u**2 - 2*u. Suppose 4*y + 3*s - 5 = 1, 0 = 5*y - 4*s - 23. Let l be (-1*0/3)/(16 + -18). Suppose l = 3*i - 4*i - y. What is a(i)?
-3
Let p(w) be the second derivative of -1/2*w**3 + 0 + 0*w**2 + 5*w - 1/60*w**5 + 5/24*w**4. Let z(j) be the second derivative of p(j). Give z(-5).
15
Let u(i) be the second derivative of i**4/12 + 5*i**3/6 - 25*i. Calculate u(-5).
0
Let y be -2*(3 - 28/8). Let v(o) = 3 + y + 2*o + 0*o**2 - 1 + o**3 - 4*o**2. Let j(p) = p**2 + 3*p - 1. Let m be j(-4). Give v(m).
0
Let p(v) = -7*v**2 + 4*v - 3. Let i(w) = -15*w**2 + 8*w - 6. Let y(g) = -6*i(g) + 13*p(g). Suppose 0 = -8*j + 7 + 25. Suppose 6 = -j*l + 26. Calculate y(l).
-8
Let u(j) = -120*j**2 + 119*j**2 + 5 + 2*j - 14 + 9*j. Determine u(9).
9
Let p(l) = l**2 + 10*l - 4. Let w be (-35)/(35/7) - 2. What is p(w)?
-13
Let x be 2/(-1) - 5*-1. Suppose -p - 1 = -x. Let g(r) be the first derivative of r**2/2 + 2*r + 1016. Determine g(p).
4
Suppose -2*i = 8 - 0, h - i - 8 = 0. Let a(f) = -4*f - 4*f + 6*f + h - 5. Calculate a(3).
-7
Let z(s) be the first derivative of s**3/3 + 5*s**2/2 + s + 11. Calculate z(-2).
-5
Let c(h) = h**3 + 4*h**2 + h + 2. Let v be c(-4). Let g(i) = 1 + 2 + 1 - 3 + i. Let f(l) = 3*l + 4. Let y(m) = -2*f(m) + 7*g(m). Determine y(v).
-3
Let n(g) = -3*g - 12 - 6 + 34 - 9. Calculate n(6).
-11
Let g be (-6)/(-40)*(-195)/(-351). Let t(h) be the second derivative of 1/3*h**3 - g*h**4 - 3/2*h**2 + 4*h + 0. Determine t(2).
-3
Suppose -18*z + 18 = -21*z. Let d(l) = l**3 + 5*l**2 - 6*l - 1. What is d(z)?
-1
Suppose 3 - 5 = -u + y, 0 = -u + 5*y + 18. Let t(k) = -4*k**2 - 4*k - 2. Give t(u).
-10
Let l(k) = k + 1. Let w(f) = -f**2 - 7*f + 10. Let z be w(-7). Suppose -45 = z*o - 15*o. What is l(o)?
10
Let z(l) = -l**3 - 8*l**2 + 9*l - 8. Let t be z(-9). Let n(b) = 8*b + 58. Let k be n(t). Let o(w) = w**2 + 6*w. Calculate o(k).
0
Let a(p) = -p**3 - 9*p**2 + 8*p - 20. Let c be 252/(-15) + 7 - 1/5. What is a(c)?
0
Let y(u) = u**3 + u**2 - 8. Let t(b) = -b + 21. Let z(v) = 2*v - 3. Let h be z(12). Let j be t(h). Give y(j).
-8
Let s(b) = -9*b**2 + b**3 - 2*b**3 + 75*b - 3*b**3 - 85*b - 2 + 3*b**3. Calculate s(-8).
14
Let r(b) be the third derivative of 0*b**3 + 0*b - 1/120*b**5 - 1/72*b**6 - 1/24*b**4 + 0 + 3*b**2. Let h(x) be the second derivative of r(x). Calculate h(-1).
9
Let c be -6 + 476/77 - (-26)/(-22). Let u(v) = -23*v + 5. Let o(z) = 24*z - 6. Let t(x) = 4*o(x) + 5*u(x). What is t(c)?
20
Let l(m) be the second derivative of m**3/6 - 2*m**2 - 10*m. Let p(v) = 3*v - 11. Let r(y) = 11*l(y) - 4*p(y). Determine r(-6).
6
Let k(c) = -c**3 + 26*c**2 + 10*c - 266. Let u be k(26). Let i(h) = -10*h - 57. Give i(u).
3
Suppose 22*q + 8 = -3*i + 20*q, 3*i = -3*q - 9. Let y(l) = -9*l + 3. Calculate y(i).
21
Let j(k) = -2*k**2 - 2*k + 6. Let t(y) = -2*y**2 + 30*y + 104. Let w be t(18). Give j(w).
-18
Suppose 0 = -t - 4*t + 15. Let y(q) = 0*q**2 - t*q**3 - q**2 - q**2 + 1. Let d be (-12)/(-36)*(-2 + 5). Give y(d).
-4
Let k = -299 - -304. Let m(s) = -3*s**2 + 4*s**2 - 5 + 1 - 5*s. Let w be m(k). Let o(c) = c**3 + 5*c**2 + c - 5. Calculate o(w).
7
Let t(f) = -36 - 2*f + 23 - 2*f**3 - 10*f**2 + f**3. Give t(-10).
7
Let w(n) = 8*n**2 + 5. Suppose -19 = -5*o - 9. Let r(p) = -1. Let a(q) = 1. Let g(f) = o*a(f) + r(f). Let t(u) = 6*g(u) - w(u). Determine t(-1).
-7
Let x(y) = -171*y - 10 - 173*y + 523*y - 178*y. What is x(4)?
-6
Let j(v) = 4 + 6*v + 0*v**3 + 2*v**2 + 5*v**2 + v**3. Let b(s) = -4*s + 16 - s**3 - s + 7*s - 11*s**2. Let z be b(-11). Calculate j(z).
4
Let h(n) be the first derivative of -n**7/840 + n**6/60 + n**5/15 - n**4/4 + 28*n**3/3 - 37. Let p(d) be the third derivative of h(d). Determine p(7).
1
Let r
|
{
"pile_set_name": "DM Mathematics"
}
|
he product of -1 and -2.09?
2.09
-0.3 * 30
-9
-0.4*8421
-3368.4
Work out 5 * -19.8.
-99
What is 7 times 0.29?
2.03
What is the product of 0.3 and -33?
-9.9
What is -0.01 times 20?
-0.2
2 * 202
404
What is 1093 times 0.2?
218.6
-0.1103*0
0
What is the product of 1 and 0.0532?
0.0532
Multiply -20068 and 0.3.
-6020.4
Calculate -0.046*-229.
10.534
What is the product of -0.4 and -52?
20.8
Multiply 0.3 and 47.
14.1
Work out 94 * -1.
-94
Product of 0.16 and -125.
-20
Multiply -38 and 0.283.
-10.754
Product of -2.1 and -0.5.
1.05
-0.7 * -89
62.3
1.71 * -0.3
-0.513
Work out -97 * 1.
-97
Multiply 0.089 and -16.
-1.424
What is -0.5 times 0.0757?
-0.03785
What is the product of -0.5 and 26.5?
-13.25
Calculate 52*-0.0311.
-1.6172
Work out 47.7 * 0.11.
5.247
What is the product of -0.3 and -3.1?
0.93
-4 * 422
-1688
What is the product of -4 and 0.205?
-0.82
Multiply -632 and -1.
632
2.257 * 0.3
0.6771
5*140
700
Work out 229 * -0.06.
-13.74
Multiply -35834 and -0.3.
10750.2
Calculate 54*5.
270
Calculate -2*149.8.
-299.6
Multiply 0.5 and 0.073.
0.0365
Calculate 0.86*9.8.
8.428
What is the product of -5 and -0.37?
1.85
2.18 * -0.5
-1.09
4509 * -0.5
-2254.5
Calculate 0.15*11.
1.65
Work out 0.148 * -164.
-24.272
What is the product of 0.39 and 659?
257.01
Product of -5 and -1589.
7945
-37 * -0.26
9.62
-0.3*0.1993
-0.05979
Multiply -2 and 0.4.
-0.8
What is 43 times -4.8?
-206.4
Work out -0.1 * 0.0125.
-0.00125
What is -24 times 0.52?
-12.48
Calculate 155.1*1.
155.1
Product of -596 and -1.5.
894
-0.7149*0.06
-0.042894
What is -83 times 1?
-83
What is 0.2 times 1.76?
0.352
-1.091 times 0.01
-0.01091
0.385 times 0.4
0.154
What is -4 times -66?
264
What is the product of 4 and 17?
68
-9 times 1.2
-10.8
Work out 0.5 * -3.8.
-1.9
-2*-16
32
-0.4 * -0.021
0.0084
Product of 13.1 and 5.
65.5
Product of 0.4 and 0.36.
0.144
-0.1527*-1
0.1527
0.4 * -250
-100
What is 2 times 383?
766
Multiply 84 and -133.
-11172
What is 5 times -0.1109?
-0.5545
Product of -1.58 and 0.05.
-0.079
19 times 0.03
0.57
What is the product of -0.3 and 1.46?
-0.438
Work out -0.021 * -12.
0.252
Calculate 2*-41.
-82
What is 0.5 times -555?
-277.5
What is -21 times 0.8?
-16.8
Calculate 0.1436*-5.
-0.718
-5 * -77
385
Product of -3.1 and 0.29.
-0.899
What is -0.071 times 0.4?
-0.0284
What is -1 times 12?
-12
Calculate -3926*0.5.
-1963
-0.2339 times 0.5
-0.11695
What is 30 times 0.26?
7.8
-0.619 times 2
-1.238
0.3 times -1355
-406.5
-175.6 * -5
878
What is 0.4 times -10?
-4
Product of 19.4 and -1.
-19.4
What is -354 times -1.8?
637.2
101 times -0.21
-21.21
37 * 16
592
Multiply 186 and 0.14.
26.04
Multiply 0.05 and 0.028.
0.0014
-3 * -102.9
308.7
Calculate 3*55.
165
Multiply 49 and 95.
4655
Work out 4 * 22.32.
89.28
-4.73*-1
4.73
Product of -3 and 116.3.
-348.9
What is the product of 21.7 and -36?
-781.2
Multiply 41 and -1.8.
-73.8
190*0.15
28.5
Product of 5.1 and 0.1.
0.51
2*-17
-34
Work out -3.5 * 19.
-66.5
Product of -95 and 0.4.
-38
Multiply -172 and -13.
2236
Product of 0.041 and -207.
-8.487
What is the product of 10 and 43?
430
Work out -0.1 * 5.45.
-0.545
-1 times 460
-460
Multiply -5 and 101.
-505
What is the product of 59 and 165?
9735
What is 0.2 times -6.27?
-1.254
What is the product of -1297 and 0.1?
-129.7
Work out -0.4 * -0.49.
0.196
-30*-2.3
69
Product of -2 and -0.0834.
0.1668
What is the product of -241 and -1?
241
32 * -0.058
-1.856
-8037 * 3
-24111
Multiply -1747 and 0.3.
-524.1
What is the product of -86.8 and 0.1?
-8.68
0.134*-15
-2.01
What is the product of -485 and 5?
-2425
0.07*-152
-10.64
What is the product of -0.041 and 0.03?
-0.00123
Multiply 129.81 and -0.2.
-25.962
0.86 times 0.1
0.086
Product of 0.8658 and -1.
-0.8658
Multiply -10 and 139.
-1390
Multiply 7797 and 3.
23391
Multiply 2 and -28.
-56
What is 0.038 times -1.05?
-0.0399
Calculate -323*-0.09.
29.07
-5*610
-3050
3 * -0.156
-0.468
Calculate -86*-0.5.
43
Product of 3927 and -1.
-3927
Work out 65 * -0.05.
-3.25
-34.1*-2
68.2
0.3 * -57
-17.1
Calculate 8*0.2.
1.6
Product of -13 and -30.
390
What is the product of -5 and 99?
-495
Work out 43 * 6.
258
264 * 0.2
52.8
Multiply -0.05 and -0.069.
0.00345
-24 * 33
-792
|
{
"pile_set_name": "DM Mathematics"
}
|
3*c = -z - h, -c + 1 = -3*z + 2 for c.
2
Suppose -3*f = 4*c - 0*c + 275, -3*c - 3*f - 207 = 0. Let k = -65 - c. Solve -y + 11 = -0*y - 3*t, k*t = 3*y - 15 for y.
2
Let t(r) = r**3 + r + 2. Let p be t(0). Suppose -5*u + 7 = -4*b - 1, 4*b - u - 8 = 0. Solve 0 = -p*y - b*n - 23, -n + 3 = -4*y - 8 for y.
-4
Let m(c) = -c**2 - 6*c - 6. Let k be m(-3). Solve 0 = 4*p + 3*l + k, -4*p = -2*l - 13 - 9 for p.
3
Suppose 6*y - 3*y - 6 = 0. Let c(v) be the first derivative of 2*v**3/3 + 5*v**2/2 - 2*v + 2. Let g be c(-4). Solve 2*p - g = 4*s, -s - y = -0*s - p for s.
-3
Let l = 1480 - 1455. Solve -3*i - 1 = 14, 0 = -3*y - 2*i - l for y.
-5
Let u(c) = c + 11. Let o be u(-9). Suppose 5*f - 7 = 5*p - 142, 4*p = o*f + 114. Solve 5*r + 3*w = p, 2*w - 15 = -w for r.
3
Let g(l) be the second derivative of -l**3/2 - 14*l**2 + 46*l. Let t be g(-14). Solve 0 = -2*h - 3*o + t, -4*o + 28 = 7*h - 2*h for h.
4
Let k(m) = 30*m - 7. Let y(z) = 15*z - 3. Let j(w) = 2*k(w) - 5*y(w). Let d be j(1). Let r = -12 - d. Solve r*n - 3*n - 4*h = -8, -3*n = -h - 11 for n.
4
Suppose o - 2*c = -12 + 1, c = 4. Let n be (o - (-3 - -2)) + -1 + 6. Solve -n*k - k + 3 = 3*h, k - 5*h + 5 = 0 for k.
0
Suppose -9*t + 36 = 3*t. Solve 8*f + 2*k + 17 = t*f, 2*k = 4*f + 28 for f.
-5
Suppose -8*g = 127 - 151. Solve -4*z + 4 = -g*n, -22 + 4 = 5*n - z for n.
-4
Let y(f) = -f + 13. Let x(a) = a**3 + 5*a**2 + 9. Let o be x(-5). Let d be y(o). Solve 0 = -d*q, -4*n + q - 4*q = 16 for n.
-4
Suppose 4*d = -d. Suppose -l = -z - d*z, 3*l - z = 6. Let j(i) = -5206*i - 36441. Let k be j(-7). Solve -l*f = 5*y - 2 - k, 14 = 2*y - 2*f for y.
3
Let v be ((-26)/6)/(2/6). Let w = 21 + v. Let o = w - 4. Solve 4*b + 3*d + 22 = 0, d + o*d = 3*b + 2 for b.
-4
Let n(s) = -18*s + 111. Let v be n(6). Solve 1 = 2*q + o, 5*q - v*o - 8 + 11 = 0 for q.
0
Let t = -1211 - -1211. Solve -2*v - 6 = t, 10*v - 14*v - 9 = -3*d for d.
-1
Let w(u) = 6. Let m(g) = -g. Let f = -5 + 6. Let c(z) = f*m(z) - w(z). Let r be c(-12). Solve 3*y = -o + r, 0 = -4*o + 2*y - 4 for o.
0
Let i be 0/(-7 + 0 + 3). Solve -3*a - 2*b + 5 = i, a - 3*b - 2*b = 13 for a.
3
Suppose -5*l + 314 - 149 = 0. Solve s - 2 = 2*k + 4, 2*s + 5*k = -l for s.
-4
Let f(z) = 3*z - 1. Let m be f(2). Let g = 823 - 820. Solve 0*r + p + 4 = g*r, -m*p = 4*r - 18 for r.
2
Let w(x) = 5*x**2. Let i(m) = -m**2 - 2*m + 10. Let r be i(0). Let l = -11 + r. Let d be w(l). Solve -d*b + 25 = -5*o, 2*b - 4*o - 15 = 3*b for b.
1
Suppose -x = -2*z + 2*x + 47, 5*z = 3*x + 113. Let b = z - 17. Solve -7*w + 3*w = -2*n - 6, 5*w = b*n for n.
3
Let z = 31 - 16. Suppose u = -3*d + 20, d = -d - u + z. Let i be -2*d*(-6)/15. Solve -5*s + o = 5, -4*s + 1 = o - i for s.
0
Let z(p) = p**3 + 33*p**2 + 181*p - 24. Let g be z(-26). Solve -g*m + 4*r + 12 = -m, 3*r = 3*m - 9 for m.
0
Let f = -13 - -20. Suppose 1 + f = x. Let k be -3 + 10 + -5 + 2. Solve k*q - 8 = -4*y, -q + 2*q - 5*y - x = 0 for q.
3
Let f be (2/30 + (-26)/65)*-6. Solve 2*x = -f, -h - 13*x = -8*x for h.
5
Let a(i) be the first derivative of -i**4/4 + i**3/3 - i**2/2 + 10*i - 2. Let m be a(0). Solve 0 = -3*q - 3*j - 12, -2*j - m = q - 2 for q.
0
Let n = -1 + 4. Suppose -2*o + 45 = n*o. Let s(g) = g - 6. Let x be s(o). Solve u = -5*l + l - 3, 2*l - 1 = -x*u for l.
-1
Let o = -210 - -214. Solve -3*b + m - 17 = -o*m, -3*b + 11 = 2*m for b.
1
Suppose -4*j + l = -10, 3*l = -4*j - j + 4. Solve -4*d - 8 = -j*g + 6*g, -3*d - 5*g = 16 for d.
3
Let r be (-52)/39*3/2. Let a(c) = -c + 3*c + 4*c**2 + 0*c**2 + 1. Let t be a(r). Solve 4*i = -2*o + 18, -i - 2*i = 2*o - t for i.
5
Let j(p) = p - 2. Let b be j(4). Suppose -4*m - 16 = b*y, -3*y + 21 = -5*m + 2*m. Solve 0 = 4*k + 2*c + c + 5, 0 = -4*k - y*c - 10 for k.
-5
Suppose -3*j = -15 - 159. Let p = j - 58. Let g(q) = q - 2. Let x be g(4). Solve z = p, x*v + 2*z = 3*z + 2 for v.
1
Suppose -4*z +
|
{
"pile_set_name": "DM Mathematics"
}
|
*b(o) + 11*s(o). Let q be g(-5). Solve -l - 5*c - 1 = 0, 5*l - q + 8 = -4*c for l.
-1
Let n be 1/((-3)/15) + 9. Solve -f + 15 = 4*f - 5*d, n*f + 4*d = -4 for f.
1
Suppose -3*p + 2*p = 0. Solve -3*y = -4*t - 22, p = 2*t - y - 4*y + 18 for t.
-4
Let w be 5/2*(-6)/(-3). Solve 5*b - 3*m = -12 - 9, 19 = -w*b + 2*m for b.
-3
Let u be (1/(-2))/(2/24). Let n be 2/4 + (-15)/u. Solve 4*w - c - 20 = 0, 0 = 2*c + n*c + 20 for w.
4
Let y(a) = a**2 + 4*a + 3. Let u be y(-1). Solve 5*n - 23 = -4*c, u = -3*c + 2*c + n - 1 for c.
2
Let g = 0 + 33. Solve -20 = 3*j + p, 5*j + 4*p = -12 - g for j.
-5
Suppose 2 = g + 3*d, -2*g = -4*g + 3*d - 23. Let x be 75/6 + 3/(-2). Let m = g + x. Solve -5*s + s - m*u = 0, 8 = s - u for s.
4
Let l(k) = k**3 - 7*k**2 + 8*k - 9. Let c be l(6). Let a = 3 - c. Suppose -3*h = h, 5*h + 20 = 4*i. Solve 0 = 3*w - 5*b + 7 - a, -w + 1 = -i*b for w.
-4
Suppose 0 = n + 3 - 5. Suppose -34 = -n*u - 3*o, 4*o + 41 + 44 = 5*u. Suppose -3*h - 3*l - 5 = -u, 3*l - 12 = 3*h. Solve h = 3*c + 2*c - 3*t, 5*c = t for c.
0
Suppose -2*c + 3*c = 2. Let q be (-2 - -1 - 0) + c. Solve p = -4*w - 12, -q - 1 = -w + p for w.
-2
Let m(g) = -2*g**3 - 2*g**2 + 6*g + 7. Let l be m(-3). Solve 5*v + 19 + 6 = 5*i, 5*i - l = v for i.
5
Suppose 4*a - a - 12 = 0. Solve -7 = w + 2*w - z, -4*z = -a*w - 4 for w.
-3
Let a = 2 + -1. Suppose a = -2*u + 5*p - 0, 3*u - 5*p - 11 = 0. Solve 4*v - u = -2*w, 3*v = 2*w - 0*w + 9 for v.
3
Let m = 2 + 16. Solve -2*z = -4*u + m, -3*z + 5*u = 11 + 14 for z.
-5
Suppose 4*z + 38 - 9 = 5*r, 0 = -3*r - 2*z + 13. Let a be (-2)/10 - r/(-25). Solve 0 = -3*d + 9, a = -4*y + y + d + 9 for y.
4
Let v be (-4)/14 + ((-115)/7)/(-5). Solve d = -2*y - v, 8*y + 3*d + 7 = 3*y for y.
-2
Suppose 0*d - 2 = 2*d + 5*r, 0 = 5*d + 5*r - 10. Solve d*k = 5*k - 3*p + 12, k = -4*p + 23 for k.
3
Let v(b) = -b**3 + 11*b**2 + 14*b - 21. Let d be v(12). Solve -2*i + 1 = 3*m, 5*m + d*i - 2*i = 4 for m.
1
Let b be (3/5)/((-5)/(-125)). Let y = b - 11. Solve 5*s = l - 5*l - y, 0 = 4*s - 3*l - 3 for s.
0
Let q = -10 + 13. Solve 3*s - 2*n = 2*n - 10, 5 = -q*s - n for s.
-2
Suppose -12 = f - 16. Solve v - f*z = -4, 4*v + 8 = 2*v - 3*z for v.
-4
Let g(a) = a - 20. Let j be g(24). Solve -j*w = 2*v - 6, -2*w + v + 15 = -2*v for w.
3
Let f(c) = -c. Let o be f(-3). Suppose 4*u + g = 76, -4*g = -4*u + 27 + 29. Let a be u*2/(-12)*-3. Solve 13 = -n + o*t, -3*n + t - a = 2*t for n.
-4
Let y = 33 - 33. Solve y = -2*z + q, 0 = -2*z - 0*q - q - 8 for z.
-2
Suppose 3 = -2*d - 5. Let v be (2*1)/(d/(-14)). Let g(c) = -c**3 - 7*c**2 + 6*c - 10. Let j be g(-8). Solve 0 = -4*h - 3*m - j, -2*h + v*h = 5*m + 10 for h.
0
Let r be (-6)/(-4) - 1/(-2). Let o = 12 + -10. Suppose -o*n + 7*n - 25 = 0. Solve 0 = -r*j + 5*t + 6, n*j - 12 - 3 = 2*t for j.
3
Let g be (-1)/3*-3 + 1. Let t = g + 7. Solve 3*n = -t, -3*c = -c + 4*n + 20 for c.
-4
Suppose 5 = -b, 5*a + 5*b + 2 = -18. Solve 2*i - a - 1 = 4*q, 5*q = i - 7 for q.
-2
Let k = -36 - -18. Let c be k/(-4) + (-12)/24. Solve 5*g + 16 = -4*d + c, 4*g - 2*d + 20 = 0 for g.
-4
Suppose -4*x - 7*q + 2*q = -43, -4*x + 5*q + 13 = 0. Let y = 1 + x. Solve -2*u + 0*u = -g + 4, 0 = g - 4*u - y for g.
0
Let g be -1 - (-1 - 1 - 1). Suppose 7 = 5*y + g. Let m = 0 - -3. Solve 4*w + 3*q + 12 = -y, -10 = w + m*q for w.
-1
Suppose -3*h = -1 - 2. Suppose 0 = -m - h + 4. Let b = 16 + -2. Solve 3*k + 43 - b = 5*x, -m*x = -3*k - 21 for x.
4
Let l(m) = m**3 + 7*m**2 - m - 4. Let u be l(-7). Suppose -14*o + 40 = -6*o. Solve -u*s = -o*k + 30, -s + 7 - 3 = 3*k for k.
3
Suppose -8*x = -3*x + x. Suppose 1 = 4*l - 63. Solve -2*a = x, 3*p - 5*a + l = -p for p.
-4
Let j(z) = z + 5. Let o be j(0). Let u = o + -2. Suppose -4*v + 12 = -0. Solve v*y + 0*y - 12 = -3*w, u*w = 2*y + 12 for y.
0
Let n = -69 + 72. Solve -2*d - 5*r - 15 = 0, 1 = -5*d - n*r + 11 for d.
5
Suppose 0 = -w +
|
{
"pile_set_name": "DM Mathematics"
}
|
) - 2*h**2 + 7*h**5 + 2*h**2 + 2*h**2 - 2*h**5 - 2*h**2.
15*h**5
Expand (-u + 4 - 4)*(-3 + 0 + 1) - 11*u + 0 + 13*u - 2 + (-4 + 1 + 1)*(-2*u - 2 + 2).
8*u - 2
Expand -2*g**5 + g**3 - g**3 + 2*g**3 + g**5 - 2*g**3 + (-2*g + 7*g - 3*g)*(-1 + 1 - 2*g**4) + (288*g**2 - 288*g**2 + g**4)*(-1 + 1 - g).
-6*g**5
Expand (3 - 1 + 3)*(2 + 1 - 4)*(-5*z + 3*z - 2 - z).
15*z + 10
Expand -3*q + 3*q - 5*q + 0*q + q + 0*q + (-3*q + 2*q + 0*q)*(-2 + 1 + 3) + 2*q + 2*q - 5*q.
-7*q
Expand -o + o**3 + o + (2 - o**2 - 2)*(0 + 0 + 2*o) + (-o - 4 + 4)*(o - o - o**2) - 1 + 1 + 2*o**3.
2*o**3
Expand (3*c + 3*c - 4*c)*(-c**2 - 2*c + 2*c - c).
-2*c**3 - 2*c**2
Expand (66 - 131 + 68 - 23*i)*(-1 + 0 + 0).
23*i - 3
Expand (-1 + 2 + 1)*(m**3 + m**4 + m**3 + 1 - m**3).
2*m**4 + 2*m**3 + 2
Expand (-y + 0*y + 3*y)*(-2 + 2 + 1) - 2 + 2 + 2*y + 0*y + 3*y - 2*y.
5*y
Expand (1 - z**3 + 16*z + 1 - 13*z)*(0 + 0 + 1)*(-3 + 2 + 2).
-z**3 + 3*z + 2
Expand (4*c - 10 + 9 + 0*c)*(2 - 2*c - 2).
-8*c**2 + 2*c
Expand (12 + 8 + 7)*(-4 + 3 + 2*g - 3*g).
-27*g - 27
Expand (5 - 2 - 2)*(9 - 11 + 15)*(-1 + 1 + 2*o).
26*o
Expand (3*c**3 - 2*c**3 - 3*c**3)*(6 - 2 - 2) + (0 + 2 + 0)*(2*c**3 + 5 - 5) - c**3 + 2*c**3 - 4*c**3 + 2*c**3 - 5 + 5.
-c**3
Expand (-u**2 + u - u)*(15*u - 6 + 6).
-15*u**3
Expand (-1 - 1 + 4)*(b**5 - b**5 + b**5) + (5*b - 4*b + 4*b)*(b**4 - 2*b**4 - b**4).
-8*b**5
Expand -4*s**2 + 2*s**2 + 4*s**2 + 2*s**2 - 2*s**2 + 2*s**2 + (s - 6*s + 4*s)*(-1 + 1 - 2*s) + (0*s**2 + s**2 - 2*s**2)*(0 + 1 - 2).
7*s**2
Expand (v**2 + 0*v + v + 3*v)*(0*v**2 + v**2 + 0*v**2).
v**4 + 4*v**3
Expand (14 - 14 + 9*a)*(-3*a + 2*a + 3*a) - 2*a**2 - 3*a**2 + 7*a**2 - 2*a**2 + 2*a**2 + 2*a**2.
22*a**2
Expand (-5*b + 2 + 13*b + 12*b)*(-1 + 0 - 1).
-40*b - 4
Expand (-3*c + 15*c - 4*c)*(2*c**4 - 2*c**4 - 2*c**4) + 0*c**2 + 0*c**2 - c**5.
-17*c**5
Expand (-3*g**2 + 4*g**2 + 2*g**2)*(5*g - g - 2*g)*(-41 - 10 + 15)*(-1 - 3 + 2).
432*g**3
Expand (11 - l**4 - 5*l**4 + 2*l**4)*(0 - 4 + 3).
4*l**4 - 11
Expand (2*j + 9 - 9)*(0 + 4 - 1 - 4 + 2 + 0 + 1 - 2 + 0 + (0 + 4 - 2)*(1 + 1 - 4) + 3 + 0 - 1).
-4*j
Expand (-10 + 5 - 8)*(-d**4 + 0*d**4 - 5*d**4).
78*d**4
Expand -4*f + 4*f - 3*f**3 + (-f - 3*f + 0*f)*(3*f**2 + f**2 - 6*f**2) + 5*f**3 - 4*f**3 - 2*f**3.
4*f**3
Expand (-4*b**2 + b**2 + b**2)*(28 - 28 - 16*b**3 + (0*b - 2*b**2 + 0*b)*(-b + 0*b + 0*b)).
28*b**5
Expand (-60*h - 14*h + 9*h)*(3*h - 3*h - 2*h).
130*h**2
Expand (0*y**3 + 0*y**3 - y**4)*(2 - 3 + 4 - 2*y)*(7 - 2 - 2).
6*y**5 - 9*y**4
Expand (0*l**2 - 4*l**2 + 3*l**2)*(-30 + 4 - 12)*(0*l + 3*l - 2*l).
38*l**3
Expand (-2*j**3 + 5*j**3 - 2*j**3)*(-10*j - 4*j**2 + 10*j) + 4*j**5 + 4*j**5 - 5*j**5 + (4*j**3 + 0*j**3 - 6*j**3)*(j**2 + 1 - 1) - 2*j**5 + 2*j - 2*j.
-5*j**5
Expand (3 - 3 + 1)*(0 - 4 - 3)*(l - 3*l + 4*l).
-14*l
Expand (-3 + 3 - 2*s)*(0*s + 0*s + 2*s**2) + (0*s + 0*s - 2*s)*(s**2 - 4*s**2 + 2*s**2).
-2*s**3
Expand -5*f + 2*f + 4*f - f + f + 2*f - 3*f - f + 2*f + (5*f - 6*f + 2*f)*(1 - 4 + 5) - 4*f + f + 5*f - f + f - f - 6*f + 3*f + 2*f - 26*f + 65*f - 26*f.
16*f
Expand (0*b - 13*b - 2*b)*(-3*b - 4*b + 5*b).
30*b**2
Expand (3*v**2 + 4*v**2 - 5*v**2)*(-1 + 1 + 5)*(2*v**2 - 3*v + 3*v).
20*v**4
Expand (r**2 - 2*r**2 + 2*r**2)*(-4*r + r + 2*r) + 2*r**2 + 6*r**3 - 2*r**3 + 5*r - r**3.
2*r**3 + 2*r**2 + 5*r
Expand (0*w - 2*w - 2*w)*(0*w - 7*w + 3*w) - w**2 - 2 + 2.
15*w**2
Expand -j + 1 - 1 + (-10 + 4 - 5)*(2*j + 0 + 0).
-23*j
Expand (-2*y - 2*y + y)*(6 - 2 - 2).
-6*y
Expand (4 - 1 - 1 + (-2 - 1 + 4)*(-2 + 2 - 1) - 5 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
7*n + 4*l = 32. Let q = n + p. Is q even?
False
Let m be (3/2)/(18/48). Suppose 194 = -m*r + 2*s, -4*r - 3*s - 209 = -0*s. Let u = 105 + r. Is u a multiple of 20?
False
Let k = 83 + 10. Is k a multiple of 9?
False
Let m(s) = s**2 - 7*s + 4. Let k(b) = -b**2 + 12*b - 3. Let u be k(11). Is m(u) a multiple of 6?
True
Let w(l) = -l**3 + 8. Let o be ((2 - 1)*0)/2. Let f be w(o). Is 2 a factor of -6 + f - (-4)/2?
True
Let j be 1/((-2)/148*2). Let c = 65 + j. Suppose c = -w + 3*w. Is w a multiple of 7?
True
Let a be 3/21 + (-104)/(-7). Let d = -9 + a. Does 3 divide d?
True
Let p be (3 + -1)/((-3)/(-6)). Suppose -p*b + 6*x + 225 = x, 5*b - 5*x = 280. Does 15 divide b?
False
Is 17 a factor of 3/45*3 - (-8404)/55?
True
Suppose -2*p = -7*p + 675. Suppose 2*x + 2*g - p = -x, 0 = -2*x - 2*g + 92. Suppose -x = -5*b + 17. Is 12 a factor of b?
True
Let m(x) be the first derivative of -x**2 + 2*x + 1. Let w be m(-2). Suppose 3*i + w = 5*i. Is i a multiple of 3?
True
Suppose 3*p + 5 - 17 = 0. Suppose 3*w - w = -3*a - 26, 0 = a - 2*w + 14. Does 3 divide p/(-10) - 34/a?
True
Let p be (-7 - -1)*8/(-4). Let g = 33 - p. Is g a multiple of 21?
True
Let c = -211 + 477. Is c a multiple of 14?
True
Let d(h) = -h - 1. Let t(l) = 2*l + 6. Let y(q) = -4*d(q) - t(q). Does 3 divide y(4)?
True
Let t(s) = 0*s**2 + 13 - 1 - 3*s**2 + 2*s**2. Is t(0) a multiple of 4?
True
Suppose 0 = -3*q - q + 24. Let a = q - 4. Does 12 divide 15 + (a - 1) + -4?
True
Suppose -v + 73 = 3*j, -j - 168 = -2*v + 4*j. Let p = -41 + v. Does 8 divide p?
False
Suppose 5*y - 2*v - 229 = 0, 4*v = 4*y + y - 233. Is 3 a factor of y?
True
Suppose -d - d = -4. Let g(n) = 9*n - n**2 - 9 + 6*n**d + n - n**3. Is g(6) a multiple of 15?
True
Suppose -25 - 15 = -2*n. Let l = n + 16. Is l a multiple of 12?
True
Let a(o) = -o**3 - 9*o**2 - 4*o - 4. Let f be a(-7). Suppose -4*w + 151 + 345 = 0. Let p = f + w. Does 17 divide p?
False
Suppose 0 = -0*m - 5*m + 15. Let i(g) = -g**2 + 4. Let s be i(2). Suppose 0 = -s*x - 2*x - 5*u + 2, -m*x - 2*u = -14. Does 6 divide x?
True
Suppose -5*z + 30 = 5*w, -z - 12 = -3*z + w. Suppose u = -n + z, -n = -5*u + 25 + 11. Suppose 27 + u = 2*h. Is 10 a factor of h?
False
Suppose -3*z = 4*m - 4, -1 = -0*z + 4*z - m. Let l = 0 - z. Suppose -5*v - x + 85 = l, 4*v - 79 + 2 = x. Does 8 divide v?
False
Suppose 2*s = -5*q + 176, 104 = 3*q + 4*s - 2*s. Is 9 a factor of q?
True
Let u = 14 + -8. Suppose 3*w - 6 = u. Is 18 a factor of (-18)/((2 - 4)/w)?
True
Let x(h) = 5*h**2 - h + 1. Let g(m) = m**2 - 9*m + 9. Let c be g(8). Does 5 divide x(c)?
True
Let l(r) = -r**2 + 0*r + 2*r**2 + 9 + 7*r. Is l(-6) a multiple of 2?
False
Let k = 5 + -1. Let t = 8 - k. Is 4 a factor of t?
True
Let o = -31 - -36. Does 2 divide o?
False
Let l = -3 - -22. Is 17 a factor of l?
False
Let l be ((-18)/15)/((-1)/10). Suppose -27 - l = -y. Is y/2*(-4)/(-6) a multiple of 13?
True
Let o be (7 - -33)*(-1 - -3). Let w = -12 + o. Suppose -i = 3*i - w. Does 6 divide i?
False
Let o(f) = 11*f**3 - 2*f**2 + 3*f - 2. Does 14 divide o(2)?
True
Let f = 2 + 0. Suppose -6 = -5*w + 3*g, -3*w + w - g = f. Suppose w = -h + 6*h - 45. Is 5 a factor of h?
False
Let o be (9/6)/((-2)/(-164)). Suppose -2*l - 2*w = w - 44, -w + o = 5*l. Let r = -9 + l. Is 8 a factor of r?
True
Suppose -4*f - 13 = 23. Let r = f + 18. Is 9 a factor of r?
True
Let f be (-4)/18 + 5230/45. Suppose -t + f = 3*t. Is t a multiple of 12?
False
Let t be -8*(-1 + 3/2). Does 27 divide 2/t + (-179)/(-2)?
False
Suppose -7 = -2*f + 1. Suppose 44 = f*o - 2*o + j, -4*o = 4*j - 92. Is o a multiple of 9?
False
Let f(s) = 9*s + 2. Let w be f(3). Suppose 5*c - w = 2*l, c - 2*l = 3*l - 8. Does 4 divide c?
False
Let s(v) = 3*v**2 + v - 4. Is 20 a factor of s(-4)?
True
Suppose -369 = 9*n - 1638. Is n a multiple of 12?
False
Suppose 0*t = 5*t - 275. Let g = -39 + t. Is g a multiple of 7?
False
Suppose 0 = 4*n + 2*k - 74, -20 = -n + 4*k + 3. Is n a multiple of 15?
False
Suppose -2*m + 21 = -3*r, 0 = -7*m + 8*m - 5*r + 7. Is 18 a factor of m?
True
Suppose 0 = -2*h + k + 82, 3*k - 6 = -0*k. Is h a multiple of 21?
True
Let l = -4 - -24. Is 20 a factor of l?
True
Suppose k = -32 + 56. Is k a multiple of 12?
True
Suppose 0 = 2*r + 8 + 12. Let d = 53 + r. Let b = d + -14. Does 13 divide b?
False
Suppose -f = -0*l + l - 143, 16 = -4*f. Is 21 a factor of l?
True
Let r be (-4)/(-14) + 4/(-14). Suppose r = 2*a - 0*d - 5*d - 33, 3*d = -15. Suppose 2*s - 3*g = s + a, -s = -g - 8. Does 4 divide s?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
.
2
Suppose 0 = b - 6*b - 3*z + 25, -3*z = 0. Suppose -2*p = 5*m - 65, 140 = b*p + 2*m + 9. Calculate the remainder when 122 is divided by p.
22
Suppose -536 = 4*f - 572. What is the remainder when f is divided by 1?
0
Let x = 27 - 30. What is the remainder when 41 is divided by 105/9 - (-2)/x?
8
Let g(a) = -2*a + 5. Let s be g(0). Suppose r - 32 = -s. Calculate the remainder when 51 is divided by r.
24
Let m = -5 - -29. Let a = -482 + 1042. What is the remainder when 1/(-3) - a/(-6) is divided by m?
21
Let j = -21 - -15. Let p(x) = x**2 + 4*x + 16. What is the remainder when 137 is divided by p(j)?
25
Let q(p) be the second derivative of 2*p**3/3 - 8*p**2 + 6*p. Let r be q(7). Suppose 0*x = -x + r. What is the remainder when 23 is divided by x?
11
Suppose 5*j + 43 = 2*w, 2*w - 44 = 3*j + j. Suppose 5*v - i = -2 + 25, 3*i = -5*v + 31. Suppose v*l = -w + 74. What is the remainder when 38 is divided by l?
8
Suppose 15 = 2*m + 5*q, -4*m + 75 = -m - 3*q. Calculate the remainder when (-969)/(-12) + 5/m is divided by 17.
13
Suppose 3*l + l = -3*b - 3, 3*b + 3*l = 0. Suppose -2*i + 14 = -2*n, b*i - 7*i + n = -16. Calculate the remainder when (8 - -1)/((-6)/(-8)) is divided by i.
0
Let x(m) = 2*m + 104. Calculate the remainder when x(-29) is divided by 34.
12
Let r(i) = i**2 - 2*i + 1. Suppose -5*n + s + 11 = 0, n - 4*n - s + 5 = 0. Calculate the remainder when r(n) is divided by 1.
0
Let a(f) = f + 9. Let t be a(5). Calculate the remainder when (-35)/t*408/(-10) is divided by 26.
24
Let y = -90 + 91. Let r(s) = 15*s + 1. What is the remainder when 29 is divided by r(y)?
13
Let r(m) = m**2 - 2*m - 4. Let v = 4 + -4. Suppose -4 = o - v*o. Calculate the remainder when r(o) is divided by 7.
6
Let g = 35 - -5. Suppose 3*r - 2*n = 41, -2*r - 5*n = -0*r - g. Calculate the remainder when 49 is divided by r.
4
Suppose 20 = 2*t + 6. Calculate the remainder when 329/28 + (-2)/(-4)*(-19)/(-38) is divided by t.
5
Let h = 30 + -19. Let i(a) = a**2 - 5*a + 3. Let s(z) = -2*z**2 + 9*z - 7. Let q(v) = -5*i(v) - 3*s(v). Calculate the remainder when q(-5) is divided by h.
8
Let d(j) = -j**3 - 60 + 15*j**2 + 54 - 20*j - 2*j. Calculate the remainder when 275 is divided by d(13).
45
Suppose 4*d = -4*m + 200, -3*d - 25 = -34. Calculate the remainder when 516 is divided by m.
46
Suppose 3*a - 34 = -3*p + 5*p, 5*p = 4*a - 36. Calculate the remainder when 24 is divided by a.
10
Let k(s) = -2*s - 13. Let t be k(-8). Suppose -53 - 34 = -t*c. Calculate the remainder when c is divided by 16.
13
Let j = -32 + 83. Calculate the remainder when (3 - (-3 + 10 + -3)) + j is divided by 26.
24
Suppose 16*v = 15*v + 24. What is the remainder when 451 is divided by v?
19
Let m = 0 + 2. Let v = 4 - m. Suppose 2*w = 6 - 0. Calculate the remainder when w is divided by v.
1
Let c(n) = -n**2 + 8. Let x be c(0). Suppose 3*k - x = 1. Suppose p + p - 14 = -3*o, 10 = 4*p - k*o. Calculate the remainder when 9 is divided by p.
1
Suppose f - s + 5 = 2*f, -18 = -4*f - 2*s. Suppose -f*b = 6*b - 70. Calculate the remainder when 11 is divided by b.
4
Suppose 2*r + 8 - 38 = 0. Suppose -3*o + 0*o + 4*s - 1042 = 0, -2*o - 5*s - 664 = 0. What is the remainder when (4/8)/((-3)/o) is divided by r?
12
Let k(y) = -1 - 3*y - 2*y**2 + 0*y + 3*y**2. Let n(f) = 2*f**2 + 28*f + 145. What is the remainder when n(-7) is divided by k(-3)?
13
Let g = -4957 + 5007. Suppose -2*i + 5*i - 41 = -2*w, -4*i + 92 = 4*w. What is the remainder when g is divided by w?
22
Let q = -648 - -1094. What is the remainder when q is divided by 56?
54
Calculate the remainder when 20 is divided by (9/2)/((-29)/(-58)).
2
Suppose 3*u = 33 + 36. Calculate the remainder when 36 is divided by (-3)/(-6)*-4 + u + -1.
16
Calculate the remainder when 0 - -2 - (-295 + -5 + -1) is divided by 22.
17
Let o(l) = -2*l**3 + 31*l**2 - 9*l + 31. What is the remainder when o(15) is divided by 12?
1
Let f(h) = h**2 - 29*h + 132. What is the remainder when f(28) is divided by 10?
4
Suppose 9*c - 3834 - 9 = 0. Suppose -5*x = -c - 428. Calculate the remainder when x is divided by 29.
26
Suppose -5*v + 8 = f + 4, -136 = -5*f + 4*v. What is the remainder when f is divided by -1 - 3/(9/(-30))?
6
Let b(o) = -o**3 - o. Let h(u) = 4*u**3 + 9*u**2 + 9*u + 3. Let f(y) = 3*b(y) + h(y). What is the remainder when f(-4) is divided by 0 + (-4)/(-1) + 11?
14
Suppose 0 = o + 4*o - 200. Suppose -20 = 2*b - o. Let j(n) = 2*n**2 + 4*n - 3. Calculate the remainder when j(3) is divided by b.
7
Let a = 8 + -10. Let t be a*(2 - 3) + 24. Calculate the remainder when 20 is divided by (-4)/t - (-372)/52.
6
Let z(y) = -y**3 + 76*y**2 + 164*y - 541. Suppose -4*b + 18 = -2. Suppose -b*p - 2 = -87. What is the remainder when z(78) is divided by p?
15
Suppose 914 = 2*x + 4*f, -342*x + 4*f + 874 = -340*x. What is the remainder when x is divided by 15?
12
Let d = 30 + 4. Suppose g + 4*n + d = 100, -2 = -2*n. Suppose -562 = -6*z - 466. What is the remainder when g is divided by z?
14
Suppose -46*k + 50*k = 404. Calculate the remainder when k is divided by 21.
17
Suppose 356 = -3*c - c. Let t(j) = 6*j. Let i be t(-4). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
cement from {u: 16, l: 1, o: 3}. What is prob of picking 2 u?
12/19
Two letters picked without replacement from {o: 1, r: 2, q: 1, b: 3}. What is prob of picking 2 b?
1/7
Three letters picked without replacement from kkkkkkoooo. Give prob of picking 3 k.
1/6
Two letters picked without replacement from dfdkdff. What is prob of picking 1 d and 1 k?
1/7
Four letters picked without replacement from rreeeaoamrumareram. Give prob of picking 2 a, 1 e, and 1 r.
2/51
Two letters picked without replacement from ppszvss. Give prob of picking 2 s.
1/7
Three letters picked without replacement from {r: 1, c: 3, j: 1, i: 6, p: 1, o: 5}. What is prob of picking 1 i, 1 p, and 1 j?
3/340
Three letters picked without replacement from iigigiiggiigii. Give prob of picking 3 g.
5/182
Two letters picked without replacement from {m: 2, z: 9}. What is prob of picking 2 z?
36/55
Calculate prob of picking 1 s and 1 f when two letters picked without replacement from sfayy.
1/10
Calculate prob of picking 2 z when two letters picked without replacement from ttztzzzztttzztzttz.
4/17
Calculate prob of picking 2 u when two letters picked without replacement from uuiju.
3/10
Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 7, w: 7}.
7/13
Two letters picked without replacement from {l: 2, j: 1, y: 5, z: 1, s: 1, o: 3}. Give prob of picking 2 o.
1/26
What is prob of picking 3 r when three letters picked without replacement from rrrrrr?
1
Calculate prob of picking 2 q and 1 y when three letters picked without replacement from aayyqqajqa.
1/20
Three letters picked without replacement from {t: 14, d: 2, r: 1}. Give prob of picking 2 t and 1 r.
91/680
What is prob of picking 2 d when two letters picked without replacement from {d: 11, y: 3}?
55/91
Two letters picked without replacement from {q: 9, f: 1, b: 1, d: 3}. What is prob of picking 1 b and 1 d?
3/91
What is prob of picking 1 j and 1 e when two letters picked without replacement from oeyoooymjoeezoojyj?
1/17
What is prob of picking 1 v and 2 u when three letters picked without replacement from ubbbfbuav?
1/84
What is prob of picking 3 r and 1 n when four letters picked without replacement from rrnrrrrrrrkrrrrnr?
26/85
Two letters picked without replacement from {f: 1, q: 1, x: 1, l: 1, h: 1}. What is prob of picking 1 q and 1 x?
1/10
What is prob of picking 2 r and 1 q when three letters picked without replacement from kuuuqruqrququrruuq?
5/136
What is prob of picking 2 o and 1 t when three letters picked without replacement from {o: 2, t: 11}?
1/26
Two letters picked without replacement from jjqjjwqwjqtt. Give prob of picking 2 q.
1/22
Three letters picked without replacement from {u: 9, i: 3, q: 4, b: 2}. Give prob of picking 1 i and 2 u.
9/68
Calculate prob of picking 2 a when two letters picked without replacement from {y: 2, a: 2, x: 4}.
1/28
What is prob of picking 2 n when two letters picked without replacement from xnwnhwncnnnh?
5/22
Two letters picked without replacement from {w: 1, f: 1, m: 1, g: 1, a: 1}. What is prob of picking 1 a and 1 f?
1/10
What is prob of picking 1 q and 1 k when two letters picked without replacement from ymhkqkqm?
1/7
Two letters picked without replacement from yyyvyyyyyyyyyyyyyv. Give prob of picking 2 y.
40/51
Calculate prob of picking 1 b and 1 i when two letters picked without replacement from bamwmipiwwmbpipmiwim.
1/19
Calculate prob of picking 2 l and 1 t when three letters picked without replacement from lllllllt.
3/8
Four letters picked without replacement from ppppppdppppppppdpppp. Give prob of picking 4 p.
12/19
Two letters picked without replacement from udwmuumymygw. Give prob of picking 1 g and 1 m.
1/22
What is prob of picking 1 y and 1 l when two letters picked without replacement from {j: 1, y: 1, n: 1, x: 1, l: 1}?
1/10
Calculate prob of picking 1 f, 2 k, and 1 l when four letters picked without replacement from fkkeleqlqqmlfqlfqlql.
6/1615
Two letters picked without replacement from {g: 4, v: 1, t: 1, w: 2}. Give prob of picking 2 w.
1/28
Two letters picked without replacement from uussiusiss. What is prob of picking 2 i?
1/45
Calculate prob of picking 1 h, 1 p, and 1 a when three letters picked without replacement from apkhahhh.
1/7
Three letters picked without replacement from ayatyyatyyaiataai. What is prob of picking 3 a?
7/136
Three letters picked without replacement from {v: 3, m: 4, g: 4, l: 4}. What is prob of picking 1 l and 2 g?
24/455
What is prob of picking 2 c when two letters picked without replacement from bucgohc?
1/21
What is prob of picking 1 x, 1 f, and 1 w when three letters picked without replacement from {d: 1, w: 2, u: 1, x: 1, f: 1, c: 1}?
2/35
Three letters picked without replacement from {y: 3, e: 15}. What is prob of picking 3 y?
1/816
Calculate prob of picking 1 a and 1 g when two letters picked without replacement from alagvvaaavvvvlgalvg.
2/19
What is prob of picking 4 j when four letters picked without replacement from {j: 6, e: 2}?
3/14
Calculate prob of picking 1 g and 2 h when three letters picked without replacement from hghhhwwhhwhhwwwhh.
9/136
What is prob of picking 2 f and 1 q when three letters picked without replacement from {q: 10, f: 2, n: 6}?
5/408
What is prob of picking 3 z when three letters picked without replacement from {h: 1, e: 11, z: 6}?
5/204
What is prob of picking 2 u and 1 g when three letters picked without replacement from {u: 3, g: 1}?
3/4
Two letters picked without replacement from {n: 2, y: 3, g: 4, z: 1, p: 3, r: 6}. Give prob of picking 1 z and 1 n.
2/171
Three letters picked without replacement from xxxxxxxdlxxxtxxtxkxt. What is prob of picking 1 l and 2 x?
91/1140
Four letters picked without replacement from {c: 9, f: 1, e: 5, s: 1}. What is prob of picking 3 c and 1 f?
3/65
Three letters picked without replacement from {i: 2, x: 5, l: 2, f: 2, m: 2, h: 1}. Give prob of picking 1 i, 1 m, and 1 x.
5/91
Two letters picked without replacement from bqoiiiqqqiioiiqqii. What is prob of picking 1 i and 1 q?
6/17
Three letters picked without replacement from {i: 1, w: 11}. Give prob of picking 1 i and 2 w.
1/4
What is prob of picking 1 r and 1 v when two letters picked without replacement from {e: 1, r: 1, v: 1, u: 2}?
1/10
Four letters picked without replacement from ffsyyufffysuyqfyys. What is prob of picking 1 s and 3 y?
1/51
Four letters picked without replacement from {v: 2, r: 1, m: 6, q: 7, o: 2}. What is prob of picking 1 v, 2 m, and 1 r?
1/102
Three letters picked without replacement from {r: 2, m: 6, a: 4, s: 1}. Give prob of picking 1 a, 1 r, and 1 s.
4
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*k(s) + p(s).
-2*s**2 + s + 150
Let k(v) = 2*v**3 - 2*v**2 + 10*v. Let p(r) be the third derivative of r**6/30 - r**5/12 + 5*r**4/6 - 445*r**2. What is -5*k(o) + 2*p(o)?
-2*o**3 - 10*o
Suppose -x = 1, f - 11*x = -15*x - 2. Let v(r) = -r**3 - r + 1. Let s(l) = l - 1. Determine f*v(a) + 2*s(a).
-2*a**3
Let x(f) = f + 2. Let u be 200/(-700)*-2*7/2. Let n(j) = 6*j + 11. Determine u*n(g) - 11*x(g).
g
Let a(s) be the third derivative of 18*s**2 - 5/6*s**3 + 0*s + 0*s**4 + 0 + 0*s**5 + 1/30*s**6. Let c(y) = 4*y**3 - 4. What is 4*a(k) - 5*c(k)?
-4*k**3
Let l(d) = -d + 2. Let j(h) = -41*h + 6. Calculate j(o) - 2*l(o).
-39*o + 2
Let r(j) = -3*j**3 + 3*j**2 - 17. Let o(d) be the second derivative of -d**5/20 + d**4/12 - 3*d**2 + 51*d. Calculate 11*o(z) - 4*r(z).
z**3 - z**2 + 2
Let v(s) = 2*s**3 + 12*s**2 + 13*s - 2. Let r(d) = 2*d**3 + 10*d**2 + 14*d - 2. Determine 6*r(q) - 5*v(q).
2*q**3 + 19*q - 2
Let t(h) = h + 3. Let p(r) = -1. Suppose -c - y = 7, 4*c + 49 = 5*y + 66. Calculate c*t(w) - 5*p(w).
-2*w - 1
Let z(t) = -t - 11. Let c(f) be the third derivative of -f**3 + 0*f - 1/24*f**4 + 0 + 16*f**2. Determine 5*c(h) - 3*z(h).
-2*h + 3
Let q = -153 - -154. Let i(c) = c**2 + 1. Let z(s) = s**2 - 1. Let b(u) = -7*u**2 + 8. Let d(t) = -b(t) - 6*z(t). What is q*d(m) + 2*i(m)?
3*m**2
Let m(b) = 8*b**2 + 7*b. Suppose -3*i - 5*t + 95 = 0, t - 4 = -3. Let p(n) = -n - 30 + i - n**2. Give 3*m(s) + 21*p(s).
3*s**2
Suppose 0 = y - 12 - 16. Let m(u) = u + 28. Let z(g) = -1. Let n(p) = -8. Let h(k) = 6*n(k) - 52*z(k). Give y*h(i) - 4*m(i).
-4*i
Let v(i) = i**3 - i**2 + 5*i + 7. Let j(x) = -3*x + x - 3 + 0. Suppose -22 = -4*b + 2. Suppose 4*o - b - 2 = 0. Give o*v(k) + 5*j(k).
2*k**3 - 2*k**2 - 1
Let w(l) be the second derivative of l**3/3 - 5*l**2 + 44*l. Let z(v) = -1. What is w(t) - 4*z(t)?
2*t - 6
Let h(i) = i**3 + 19*i**2 - 41*i + 27. Let d be h(-21). Let n = -27 + 26. Let q(o) = -o**2 + 6*o - 5. Let y(l) = l - 1. Calculate d*y(j) + n*q(j).
j**2 - 1
Let d(c) = -9*c - 9. Let q(i) = -i**3 + 19*i**2 + 7*i - 136. Let n be q(19). Let s(x) = -5*x - 5. Determine n*d(b) + 5*s(b).
2*b + 2
Let w(x) = x - 32. Let v(l) = l - 33. Calculate -5*v(n) + 6*w(n).
n - 27
Let x(p) = 5*p**3 + 27*p - 6. Let q(i) = -i**3 + 1. What is 6*q(s) + x(s)?
-s**3 + 27*s
Let d(g) = -77*g + 14. Let q(x) = 153*x - 32. Determine -7*d(u) - 3*q(u).
80*u - 2
Let k = 30 + -27. Let s(q) = 2 - 7*q**3 - 2*q - q**3 + 4*q**3 + 6*q**k. Let x(c) = c - 1. Calculate s(p) + 2*x(p).
2*p**3
Let o(n) = -2*n + 2. Let p(z) = 2. Let h(b) = -2*b - 34. Let u(l) = 2*h(l) + 36*p(l). Suppose 18*i - 665 = -77*i. Give i*o(c) - 3*u(c).
-2*c + 2
Let k(h) = 11*h + 7. Let b(j) = -5*j - 3. Let p(g) = -13*g + 53. Let o be p(3). What is o*b(a) + 6*k(a)?
-4*a
Let v(r) = -9*r**2 + 12*r - 15. Let m(x) = x**2 - 2*x - 1. Give 6*m(i) + v(i).
-3*i**2 - 21
Let l(d) = 21*d**2 + 13. Let n = 403 - 409. Let f(w) = w**2 + w + 1. Let v(j) = -j**2 + 4*j + 1. Let k(m) = 4*f(m) - v(m). What is n*l(q) + 26*k(q)?
4*q**2
Let q(w) = -226*w**2 + w. Let f(x) = 2253*x**2 - 9*x. Determine 2*f(g) + 21*q(g).
-240*g**2 + 3*g
Let p(o) = 11*o - 2. Let g(l) = -3*l + 43. Let t be g(14). Let s(d) = 0 - 662*d + 667*d - t. Calculate -4*p(b) + 9*s(b).
b - 1
Let k(c) = c**3 + 2*c**2 + 1. Let l(i) = -i**3 - 3*i**2. Give 4*k(o) + 3*l(o).
o**3 - o**2 + 4
Let v(o) be the second derivative of -5*o**4/6 - 8*o**3/3 - 7*o**2/2 - o. Let h be (-18)/(-3) + 9 + -17. Let y(g) = 3*g**2 + 5*g + 2. Determine h*v(r) - 7*y(r).
-r**2 - 3*r
Let a(g) = 3*g - g - g - 2*g. Let b be -13 + -3 + 1 + 3. Let r = -6 - b. Let t(x) = -5*x + 1. Give r*a(q) - t(q).
-
|
{
"pile_set_name": "DM Mathematics"
}
|
Find the third derivative of -74*m**5 + 878*m**4 - 9*m**3 - 10234*m**2 - 4210*m wrt m.
-4440*m**2 + 21072*m - 54
Find the third derivative of h**4 - 60351089*h**3 + 169*h**2 + 43201*h wrt h.
24*h - 362106534
What is the third derivative of 43512914*v**3 - 71744347*v**2?
261077484
What is the second derivative of -346062169*u**5 - 1818*u - 32522?
-6921243380*u**3
Find the third derivative of 2877778*f**5 - 46941*f**2 + 284*f wrt f.
172666680*f**2
What is the derivative of 81*d**2*m**2 - 1621*d**2 - d*j - 9*j*m**2 + 2*j*m - 27*j + 2*m - 43 wrt d?
162*d*m**2 - 3242*d - j
Find the third derivative of -2604*l**5 + 994*l**3 + 17286731*l**2.
-156240*l**2 + 5964
What is the third derivative of 230449307*x**3 - 167203352*x**2 - 2*x?
1382695842
What is the second derivative of 2*k*q**4 - 379042*k*q**2 + 4*k*q - q - 276609 wrt q?
24*k*q**2 - 758084*k
What is the second derivative of 43448716*p**2*w**2 + 253121*p**2 + 41*p*w wrt w?
86897432*p**2
What is the second derivative of 347*k**2*r*s**3 - 3387*k**2*r*s + 2*k*r*s**2 - 1619289*k*s**3 - r*s**3 wrt k?
694*r*s**3 - 6774*r*s
Find the second derivative of -448713321*p**2*q**3 + 2*p*q**3 + 16328*p*q**2 - 8*p*q + 2*q**3 - 11 wrt p.
-897426642*q**3
What is the second derivative of -2151*v**4 + 256*v**2 + 2928947*v wrt v?
-25812*v**2 + 512
What is the third derivative of 5464620*j**3 - j**2 - 165*j - 2095?
32787720
Find the third derivative of -7649824*g**4 - 2*g**2 + 2185581*g - 2.
-183595776*g
Find the first derivative of -o**3*z + 3532791*o**3 - o**2*z - 14891*o*z + 39*z wrt z.
-o**3 - o**2 - 14891*o + 39
Differentiate -389725138*t - 37290694.
-389725138
What is the first derivative of 36931*d**3 - 2*d**2 + 414*d + 11604307?
110793*d**2 - 4*d + 414
What is the third derivative of -19035*d**3*z**2 + 2808*d**3*z - 6*d**2*z**2 - 2*d**2*z + 4460*d*z**2 + 26*d*z - d - 80*z**2 wrt d?
-114210*z**2 + 16848*z
Find the second derivative of -7228850*a**2*l**3*v - 776735*a*l**3 - 4*l**2*v wrt a.
-14457700*l**3*v
Find the first derivative of 48597021*b - 19550490.
48597021
Find the second derivative of 3410587*g*w**3 - 2*g*w**2 + 3*g*w - 4*g + 2*w**2 + 14764 wrt w.
20463522*g*w - 4*g + 4
Find the second derivative of 22*c**2*y**2 - 92866*c**2*y - 9225166*c*y**2 + c*y + 655*c - 2*y wrt y.
44*c**2 - 18450332*c
Find the second derivative of 1035771080*x**2 - 553067772*x wrt x.
2071542160
Find the second derivative of 4085187*c**3*m + 5*c**2*m - 4*c**2 + 7296*c - 12230*m wrt c.
24511122*c*m + 10*m - 8
What is the third derivative of 59123561*v**5 + 290214776*v**2?
3547413660*v**2
Differentiate 6*u*y**2 - 112114*u*y + 202853130*u + 2*y**2 + 43*y with respect to y.
12*u*y - 112114*u + 4*y + 43
Find the second derivative of -39853738*c**4 + 8*c - 431947.
-478244856*c**2
Differentiate -38368460*d + 15329504 with respect to d.
-38368460
Find the third derivative of -12921775*f*u**3 + f*u**2 - 5*f*u + 2*u**2 - 10*u - 1547 wrt u.
-77530650*f
What is the derivative of 319442503*o**2 - 1030033024?
638885006*o
What is the third derivative of -z**4 + 224323*z**3 + 476*z**2 - 7404*z wrt z?
-24*z + 1345938
Differentiate 120683652*p**2 + 48687056 with respect to p.
241367304*p
What is the first derivative of 5*b**2*d**2 - b*d**2 - 518361*b*d - 20428605*d**2 wrt b?
10*b*d**2 - d**2 - 518361*d
What is the third derivative of -3805331*m**3 - 12842169*m**2 wrt m?
-22831986
What is the derivative of -31*f**3 - 75*f**2 - 565*f + 21573903 wrt f?
-93*f**2 - 150*f - 565
Find the first derivative of -17858*l**3 - l**2 + 901*l + 15545061.
-53574*l**2 - 2*l + 901
What is the first derivative of -6*z**4 - 376*z**2 - 876*z - 289133066?
-24*z**3 - 752*z - 876
Find the second derivative of 13980630*j**3 - 3619965*j.
83883780*j
Find the second derivative of -8965*r**3*s**4 - 2*r**3*s + 468610*r**3 - r**2 + 29*s**4 wrt s.
-107580*r**3*s**2 + 348*s**2
Find the first derivative of -377670690*z - 413622141 wrt z.
-377670690
What is the third derivative of -2607628*b**6*f + 2*b**3*f**3 - 45757*b**2*f - 71*b*f**3 + f wrt b?
-312915360*b**3*f + 12*f**3
What is the third derivative of 61324*n**3*w + 255*n**3 + 5037*n**2*w - n*w + w + 1990 wrt n?
367944*w + 1530
Find the second derivative of 44*d**3*l**2 - 11608*d**3 - 300*d*l + d - 6*l**2 + 5*l - 3 wrt d.
264*d*l**2 - 69648*d
What is the third derivative of -365388*t**4 - 8*t**3 - t**2 + 584*t + 137?
-8769312*t - 48
What is the third derivative of 58701716*m**3 - 598722*m**2 + 152*m?
352210296
Find the third derivative of -2*t**4
|
{
"pile_set_name": "DM Mathematics"
}
|
and 204?
51
What is the greatest common divisor of 6408 and 32?
8
Calculate the highest common factor of 56 and 140.
28
Calculate the highest common divisor of 18 and 882.
18
What is the highest common factor of 943 and 1066?
41
What is the greatest common divisor of 150 and 60?
30
Calculate the greatest common divisor of 416 and 130.
26
What is the greatest common divisor of 104 and 364?
52
Calculate the highest common factor of 4 and 4604.
4
Calculate the highest common divisor of 6030 and 15.
15
Calculate the greatest common divisor of 150 and 1775.
25
Calculate the greatest common factor of 459 and 27.
27
What is the greatest common divisor of 7708 and 564?
188
What is the highest common divisor of 2090 and 19?
19
What is the highest common divisor of 875 and 1375?
125
What is the highest common factor of 103 and 2884?
103
What is the greatest common divisor of 108 and 99?
9
What is the greatest common factor of 106 and 2?
2
What is the greatest common divisor of 35 and 504?
7
What is the greatest common divisor of 2 and 243?
1
What is the highest common divisor of 1247 and 129?
43
What is the greatest common divisor of 952 and 448?
56
Calculate the greatest common divisor of 2813 and 29.
29
Calculate the greatest common factor of 5750 and 46.
46
Calculate the greatest common divisor of 288 and 24000.
96
Calculate the highest common divisor of 28 and 21.
7
What is the greatest common divisor of 144 and 168?
24
What is the highest common factor of 891 and 11?
11
Calculate the greatest common factor of 234 and 195.
39
Calculate the highest common factor of 128 and 10112.
128
What is the highest common factor of 18192 and 48?
48
Calculate the highest common divisor of 459 and 1683.
153
Calculate the highest common divisor of 348 and 12.
12
What is the greatest common divisor of 74 and 259?
37
What is the highest common factor of 465 and 2139?
93
What is the highest common factor of 55 and 473?
11
What is the highest common factor of 57 and 76?
19
What is the greatest common divisor of 144 and 117?
9
What is the greatest common divisor of 81 and 999?
27
Calculate the greatest common factor of 24 and 328.
8
Calculate the highest common divisor of 1661 and 352.
11
Calculate the highest common divisor of 70 and 1526.
14
Calculate the greatest common factor of 38 and 16.
2
What is the highest common divisor of 1120 and 112?
112
What is the highest common factor of 969 and 57?
57
What is the highest common factor of 8552 and 8?
8
Calculate the greatest common divisor of 84 and 156.
12
What is the highest common divisor of 279 and 36?
9
What is the greatest common factor of 14 and 1162?
14
What is the highest common factor of 2010 and 30?
30
What is the greatest common factor of 6928 and 16?
16
Calculate the highest common divisor of 234 and 7254.
234
Calculate the highest common factor of 407 and 37.
37
Calculate the highest common divisor of 36 and 3684.
12
Calculate the highest common divisor of 253 and 118151.
253
Calculate the greatest common factor of 940 and 752.
188
Calculate the highest common factor of 5 and 355.
5
Calculate the highest common divisor of 12 and 492.
12
Calculate the highest common divisor of 4237 and 19.
19
What is the highest common divisor of 1638 and 13377?
273
What is the highest common factor of 95 and 15?
5
Calculate the greatest common factor of 52 and 13.
13
What is the greatest common divisor of 196 and 84?
28
What is the greatest common factor of 427 and 357?
7
What is the highest common divisor of 10137 and 93?
93
Calculate the highest common factor of 76 and 247.
19
What is the greatest common factor of 1536 and 64?
64
Calculate the greatest common factor of 28 and 406.
14
What is the highest common factor of 7098 and 12?
6
Calculate the highest common factor of 58 and 319.
29
Calculate the highest common divisor of 378 and 273.
21
Calculate the greatest common divisor of 108 and 28.
4
Calculate the highest common factor of 315 and 36.
9
What is the highest common factor of 141 and 3?
3
Calculate the highest common factor of 9 and 8901.
9
What is the highest common factor of 26 and 5824?
26
Calculate the greatest common factor of 1037 and 122.
61
What is the highest common factor of 2323 and 707?
101
Calculate the highest common divisor of 38 and 950.
38
Calculate the highest common divisor of 72 and 14508.
36
What is the highest common factor of 17484 and 2604?
372
Calculate the greatest common divisor of 1775 and 100.
25
What is the greatest common divisor of 58 and 232?
58
Calculate the greatest common divisor of 100 and 20.
20
Calculate the highest common divisor of 30 and 390.
30
Calculate the greatest common divisor of 1068 and 3382.
178
Calculate the greatest common factor of 14899 and 47.
47
What is the greatest common divisor of 533 and 205?
41
Calculate the highest common factor of 183 and 854.
61
What is the highest common divisor of 802 and 32?
2
Calculate the highest common divisor of 856 and 448.
8
Calculate the greatest common factor of 273 and 231.
21
Calculate the greatest common divisor of 116 and 124.
4
What is the highest common divisor of 15 and 345?
15
What is the greatest common divisor of 40 and 960?
40
Calculate the greatest common factor of 9 and 1152.
9
What is the greatest common factor of 1680 and 30?
30
Calculate the highest common divisor of 16 and 40.
8
Calculate the greatest common factor of 636 and 9063.
159
What is the greatest common factor of 98 and 91?
7
What is the greatest common factor of 22146 and 6?
6
What is the highest common factor of 4 and 47?
1
What is the highest common factor of 11799 and 23?
23
What is the highest common factor of 1156 and 8?
4
Calculate the highest common divisor of 7049 and 133.
133
What is the greatest common divisor of 420 and 2835?
105
What is the highest common factor of 54 and 36?
18
Calculate the greatest common divisor of 144 and 648.
72
What is the highest common factor of 48 and 1296?
48
What is the greatest common divisor of 1102 and 2?
2
What is the highest common factor of 44 and 4510?
22
Calculate the highest common factor of 12280 and 10.
10
What is the greatest common divisor of 4257 and 99?
99
What is the highest common divisor of 225 and 885?
15
What is the highest common factor of 52248 and 168?
168
Calculate the highest common factor of 598 and 26.
26
Calculate the greatest common divisor of 2288 and 624.
208
What is the greatest common divisor of 22 and 1507?
11
Calculate the highest common factor of 399 and 513.
57
What is the highest common divisor of 2 and 2018?
2
Calculate the highest common divisor of 84 and 18970.
14
What is the greatest common factor of 2562 and 42?
42
What is the greatest common factor of 89 and 1?
1
What is the greatest common factor of 371 and 1431?
53
What is the greatest common divisor of 32 and 144?
16
What is the highest common divisor of 20 and 1724?
4
Calculate the highest common factor of 330 and 770.
110
What is the highest common factor of 2839 and 1503?
167
Calculate the greatest common divisor of 35022 and 39.
39
Calculate the highest common factor of 187 and 2924.
17
Calculate the greatest common factor of 722 and 8.
2
What is the greatest common divisor of 3507 and 167?
167
What is the highest common factor of 620 and 1612?
124
What is the greatest common divisor of 137 and 9179?
137
Calculate the greatest common factor of 290 and 83520.
290
What is the greatest common factor of 493 and 187?
17
What is the highest common divisor of 5677 and 56?
7
What is the highest common divisor of 70 and 266?
14
Calculate the highest common factor of 2332 and 77.
11
What is the highest common divisor of 22 and 1606?
22
What is the greatest common factor of 24 and 114?
6
What is the highest common factor of 57 and 114?
57
What is the highest common factor of 17766 and 189?
189
Calculate the highest common factor of 216 and 120.
24
What is the greatest common factor of 231 and 594?
33
|
{
"pile_set_name": "DM Mathematics"
}
|
f 870601271.
311, 2799361
List the prime factors of 249660132.
2, 3, 20805011
List the prime factors of 138333170.
2, 5, 59, 234463
List the prime factors of 1703604591.
3, 13, 2017, 7219
List the prime factors of 33373846.
2, 11, 479, 3167
What are the prime factors of 343455262?
2, 31, 5539601
What are the prime factors of 518797481?
518797481
List the prime factors of 12420415.
5, 7, 354869
List the prime factors of 90889478.
2, 45444739
List the prime factors of 77863592.
2, 41, 277, 857
List the prime factors of 132941962.
2, 37, 71, 25303
What are the prime factors of 589181975?
5, 479, 49201
List the prime factors of 62392506.
2, 3, 11, 945341
What are the prime factors of 22576762?
2, 13, 868337
List the prime factors of 1551386968.
2, 193923371
What are the prime factors of 1280610642?
2, 3, 213435107
List the prime factors of 11119178.
2, 7, 83, 1367
List the prime factors of 82679313.
3, 17, 1621163
What are the prime factors of 2197172149?
2197172149
List the prime factors of 2156768519.
97, 4639, 4793
What are the prime factors of 428301659?
428301659
List the prime factors of 3156110337.
3, 1052036779
What are the prime factors of 222355612?
2, 79, 703657
What are the prime factors of 165827?
139, 1193
What are the prime factors of 480524222?
2, 240262111
What are the prime factors of 649163534?
2, 10429, 31123
List the prime factors of 2981445710.
2, 5, 89, 3349939
What are the prime factors of 180270450?
2, 3, 5, 400601
What are the prime factors of 183062248?
2, 22882781
What are the prime factors of 3672068607?
3, 136002541
List the prime factors of 45688871.
593, 77047
List the prime factors of 2364523406.
2, 7, 37, 463, 9859
What are the prime factors of 197446528?
2, 1542551
List the prime factors of 126214238.
2, 1097, 57527
What are the prime factors of 265558653?
3, 29506517
List the prime factors of 513096108.
2, 3, 7, 17, 359311
What are the prime factors of 287466944?
2, 4491671
What are the prime factors of 485521353?
3, 53946817
What are the prime factors of 890949809?
43, 20719763
List the prime factors of 251047160.
2, 5, 7, 13, 17, 4057
List the prime factors of 7527487377.
3, 83, 30230873
What are the prime factors of 90945553?
90945553
What are the prime factors of 137032016?
2, 11, 37, 1913
What are the prime factors of 1798034720?
2, 5, 31, 229, 1583
What are the prime factors of 227514601?
71, 907, 3533
What are the prime factors of 4198933614?
2, 3, 19, 1231, 29921
What are the prime factors of 649754046?
2, 3, 83, 434909
List the prime factors of 37597582.
2, 11, 1708981
List the prime factors of 2005399907.
7, 11689, 24509
List the prime factors of 20596789.
20596789
What are the prime factors of 1683235?
5, 43, 7829
What are the prime factors of 5803880349?
3, 113, 457, 37463
List the prime factors of 2144387378.
2, 7, 17, 9010031
List the prime factors of 869914682.
2, 7, 13, 29, 43, 3833
List the prime factors of 436500307.
436500307
What are the prime factors of 22989593?
11, 17, 122939
What are the prime factors of 2353127542?
2, 19, 61924409
List the prime factors of 370341791.
23, 700079
List the prime factors of 832392184.
2, 13, 47, 170293
List the prime factors of 415607637.
3, 139, 149, 6689
What are the prime factors of 3558195912?
2, 3, 47, 3154429
What are the prime factors of 51193026?
2, 3, 948019
What are the prime factors of 489326014?
2, 103, 1303, 1823
What are the prime factors of 9087974?
2, 7, 649141
What are the prime factors of 5522977258?
2, 23, 1753, 68491
List the prime factors of 273865995.
3, 5, 13, 29, 5381
List the prime factors of 159221245.
5, 41, 739, 1051
What are the prime factors of 29142119?
67, 434957
List the prime factors of 412386698.
2, 206193349
List the prime factors of 270337211.
270337211
What are the prime factors of 19908700?
2, 5, 7, 17, 239
What are the prime factors of 13398806?
2, 877, 7639
List the prime factors of 32966242.
2, 887, 18583
What are the prime factors of 185978351?
13, 17, 367, 2293
List the prime factors of 2189422864.
2, 31, 4414159
What are the prime factors of 1263645947?
491, 2573617
What are the prime factors of 2306900685?
3, 5, 153793379
List the prime factors of 368668387.
29, 12712703
List the prime factors of 2958937355.
5, 11, 19, 383, 7393
List the prime factors of 452702154.
2, 3, 75450359
List the prime factors of 1873512.
2, 3, 26021
What are the prime factors of 342251068?
2, 79, 1083073
List the prime factors of 3561734921.
1237, 1259, 2287
What are the prime factors of 126017180?
2, 5, 29, 217271
List the prime factors of 7538201515.
5, 13, 83, 1397257
List the prime factors of 13930481.
13930481
List the prime factors of 2947964325.
3, 5, 39306191
What are the prime factors of 63553344?
2, 3, 17, 19471
What are the prime factors of 344440352?
2, 1069, 10069
What are the prime factors of 1368511761?
3, 593, 769259
List the prime factors of 624172136.
2, 7, 17, 655643
What are the prime factors of 404811048?
2, 3, 727, 23201
List the prime factors of 149523198.
2, 3, 11, 19, 119237
List the prime factors of 1715365781.
1715365781
What are the prime factors of 505750532?
2, 7, 163, 110813
List the prime factors of 319776037.
7, 45682291
List the prime factors of 3306686930.
2, 5, 330668693
What are the prime factors of 3452458611?
3, 7, 67, 50077
List the prime factors of 52784576.
2, 13, 63443
List the prime factors of 63047664.
2, 3, 367, 1193
List the prime factors of 294165480.
2, 3, 5, 7, 47, 7451
List the prime factors of 325277863.
325277863
List the prime factors of 36665858.
2, 19, 137, 7043
List the prime factors of 163434365.
5, 37, 883429
What are the prime factors of 85862699?
13, 17, 388519
What are the prime factors of 2961901242?
2, 3, 373, 16339
List the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
ator of -97/364 and (-138)/115*((-237)/27 - -1).
1092
Let j = -12/3289 - -48338/628199. Let f = -1784/1719 - j. Find the common denominator of ((-3)/(-4))/(7/(-48)) and f.
63
Let w be (-1108)/192*1 - -6. Let h = -29/240 - w. Find the common denominator of h and -121/12.
60
Suppose 0 = x - 15*x + 504. Let t(d) = -d + 42. What is the lowest common multiple of t(x) and 60?
60
Let d(c) = -c**3 + 10*c**2 - 17*c - 4. Calculate the least common multiple of 26 and d(3).
104
Let y = -181030 - -48516103/268. What is the common denominator of 65/236 and y?
15812
Suppose -2*s + 151 = 159, -5*s - 95 = -5*c. Calculate the smallest common multiple of 13614 and c.
68070
Let x(t) = t**3 + 8*t**2 - 625*t + 16. Calculate the lowest common multiple of 672 and x(-29).
3360
Let x = 1946 - 11537/6. Find the common denominator of x and 88/645.
1290
Let l = -456 - -462. Calculate the lowest common multiple of -3*(l/(-9) + 2) - -23 and 3.
57
Let q = 26641 - 26633. Let g = 109 + -73. Calculate the smallest common multiple of q and g.
72
What is the least common multiple of 40 and 33/44 + (2385/20 - 0)?
120
Suppose 2*x + 3*q = -0*x - 7, 0 = -4*x + q + 7. Let b(n) = n**3 - 9*n**2 + 15*n + 3. Let i be b(10). Find the common denominator of 1/9 and i/(-102) - (-2)/x.
306
Let w = -4/19357 + 1122910/987207. Calculate the common denominator of 43/69 and w.
1173
Let y = 28/9251 - -1097845/999108. What is the common denominator of y and -89/108?
108
Suppose f - 3*f = -8. Let i = -169 + 222. Suppose -3*k + 2*h + i = 2*k, -5 = -5*h. Calculate the lowest common multiple of f and k.
44
Let u = 25141/28 - 898. Calculate the common denominator of 578/72 - (858 + -850) and u.
252
Calculate the lowest common multiple of 330 and 21*140/98*7.
2310
Find the common denominator of (-2121)/990*((-66)/140 + 14/35) and -65/4.
660
Let s(x) = 17*x + 515. Calculate the smallest common multiple of 31 and s(-13).
9114
Let b = -12294 + 12330. Calculate the least common multiple of 927 and b.
3708
What is the lowest common multiple of 5538 and (-19)/(513/(-6))*27?
5538
Suppose 0 = 2*r - 5*h + 5, 3*r - 1 = -3*h + 2. Suppose -3*a = -5*n - 16, a + r = -n - 8. Calculate the common denominator of 2 + 235/(-15) + a and -22/7.
21
Let n = 3149 - 3017. Calculate the lowest common multiple of n and 30.
660
Suppose f - 24 = -4*k - 0*f, -3*k + 18 = -5*f. Suppose 3*v - 5*t = 173, 5*v + k*t = 5*t + 335. Calculate the smallest common multiple of 30 and v.
330
Let s(c) = -28*c - 83. Let f(n) = -10*n - 28. Let p(r) = -8*f(r) + 3*s(r). What is the least common multiple of p(-15) and 5?
35
Calculate the common denominator of 41/254 and (((-473)/11)/(3 - 1))/8.
2032
Let r(b) = b**3 + 7*b**2 - 4*b + 14. Suppose 21*y + 2*v = 26*y - 39, -y - 2*v = -15. Calculate the lowest common multiple of r(-6) and y.
666
Suppose -9*k - 584 + 2312 = 0. Find the common denominator of (-3)/16*(-57)/9 and (0 - 4)*(-376)/k.
48
Suppose 3*d + 18575 = -z - 12392, -5*d + 2*z = 51597. Let n = -650210/63 - d. What is the common denominator of n and -32/63?
63
Let q = 1262253 + -353431273/280. Let y = -17/56 + q. Let z = 2149583/1205340 - 1/20089. Calculate the common denominator of y and z.
60
Let h = -8427 + 8691. Calculate the least common multiple of h and 330.
1320
Let c(b) = 1825*b - 7212. Calculate the smallest common multiple of c(4) and (-50)/(-8) - 6/24.
264
Let j = -28 + -56. Find the common denominator of -1 - ((-95)/(-760))/((-22)/(-520)) and j/10*45/12.
22
Suppose -6 = 3*w, 8*w - 2081 = -3*m + 12*w. Let r = 702 - m. What is the smallest common multiple of r and 260?
2860
Let t be (24/(-4))/(4 + -2) + 6. Find the common denominator of -2 + -55*5/80 and (-150)/(-1160)*(-34)/t.
464
Find the common denominator of 28125/4320*(-2)/20 and -43/256.
768
Suppose 219*y - 4175 = 2833. What is the lowest common multiple of y and 96?
96
Let u(s) = s**3 + s**2 + s. Let l(t) = -27*t - 155. Let c be l(-6). Suppose y + 60 = c*y. Calculate the lowest common multiple of u(2) and y.
70
Suppose 4*v - 18 = 2*v. Suppose -13*z - 450 = -38*z. Suppose -10*l = -9*l - z. What is the smallest common multiple of l and v?
18
Suppose 4*q + q = -1500. Suppose -7*j + 3*j + 4860 = 0. Find the common denominator of 0 - 2 - j/q and 27/22.
220
Suppose -3*n + 28 - 12 = 5*k, 2*n - 4*k + 4 = 0. Let t = 96 + 32. Suppose 22*j - t = 14*j. What is the smallest common multiple of n and j?
16
Let g = 131742733/12 - 10985673. Let p = g + 7107. Find the common denominator of p and 206/28 - 1 - -1.
84
Let h = -6683/3 + 427709/192. What is the common denominator of 3/2320 and h?
9280
Let r = -15776/5 + 3154. Suppose 0 = 5*c - 13 - 7. Calculate the common denominator of r and (-301)/(-12) + 1/c.
15
Let d be (8/(-524))/((-60)/808958705). Let h = d + -205842. Find the common denominator of -39/14 and h.
5502
Let d(t) = t**2 - 5*t - 20. Suppose 3 = -4*k - 441. Let g = k - -133. What is the lowest common multiple of g and d(9)?
176
Let l = -129 + 133. Let h = -100 - -141. Let a = -39 + h. Calculate the smallest common multiple of l and a.
4
Let s be (6/(-2))/(60/9 + -7). Let v(b) = -9*b. Let y(q) = -8*q + 1. Let h(l) = 4*v(l) - 5*y(l). Find the common denominator of h(s) and -36/19.
19
Let d = -8 - -7. Let o = 1 - d. Suppose 4*p - 5*k = -k + 92, -5*k = -25. Calculate the least common multiple of p and o.
28
Let b(v) = -4*v
|
{
"pile_set_name": "DM Mathematics"
}
|
o letters picked without replacement from {h: 12, z: 1}. Give prob of picking 2 h.
11/13
Four letters picked without replacement from {y: 5, n: 13}. What is prob of picking 1 n and 3 y?
13/306
Two letters picked without replacement from xxusxxusxuxx. Give prob of picking 1 x and 1 s.
7/33
Two letters picked without replacement from ttqtqetttetteqttte. Give prob of picking 1 e and 1 t.
44/153
Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {o: 4, s: 3, z: 1}.
3/28
Three letters picked without replacement from {u: 3, r: 2, l: 2, g: 2, z: 6}. What is prob of picking 3 u?
1/455
Calculate prob of picking 1 e and 1 a when two letters picked without replacement from qtabbex.
1/21
Two letters picked without replacement from oivvoooomaova. What is prob of picking 1 i and 1 v?
1/26
Calculate prob of picking 1 c and 1 y when two letters picked without replacement from dkycudy.
2/21
Four letters picked without replacement from tlllllllltl. Give prob of picking 4 l.
21/55
Two letters picked without replacement from eeeeeeeeee. Give prob of picking 2 e.
1
Two letters picked without replacement from {j: 5, h: 6, l: 4, r: 1}. What is prob of picking 2 l?
1/20
Three letters picked without replacement from tqbgabl. Give prob of picking 1 l and 2 b.
1/35
Three letters picked without replacement from hvvhhhhhhhhh. What is prob of picking 2 h and 1 v?
9/22
Calculate prob of picking 3 t and 1 e when four letters picked without replacement from teteeeteeteeeeeteeee.
10/323
Four letters picked without replacement from {g: 2, l: 2, s: 4, n: 5, k: 4}. Give prob of picking 1 g and 3 s.
2/595
What is prob of picking 4 a when four letters picked without replacement from {a: 9, q: 1, j: 7, m: 2}?
21/646
Calculate prob of picking 2 v and 1 y when three letters picked without replacement from {q: 2, v: 2, y: 2, g: 4}.
1/60
Calculate prob of picking 2 r and 1 i when three letters picked without replacement from rrrrrrrrrririiirrrr.
140/323
What is prob of picking 1 q, 2 y, and 1 a when four letters picked without replacement from {a: 7, y: 2, q: 8, n: 3}?
56/4845
Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {e: 9, u: 7}.
21/40
What is prob of picking 2 x when two letters picked without replacement from xxxxxxxxxx?
1
What is prob of picking 3 l and 1 k when four letters picked without replacement from {l: 5, k: 4, p: 6}?
8/273
Calculate prob of picking 2 v when two letters picked without replacement from {r: 6, j: 3, m: 3, v: 6}.
5/51
Two letters picked without replacement from vwhwvwhwwwww. What is prob of picking 2 h?
1/66
What is prob of picking 3 i when three letters picked without replacement from {i: 3, u: 7}?
1/120
Two letters picked without replacement from {c: 1, n: 4, d: 3, b: 2, f: 1, i: 1}. Give prob of picking 1 i and 1 n.
2/33
Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {h: 2, e: 3}.
3/5
What is prob of picking 1 u and 1 s when two letters picked without replacement from {s: 1, u: 1, e: 9}?
1/55
What is prob of picking 1 l and 3 j when four letters picked without replacement from ljlljjlljjlllllllll?
35/969
Calculate prob of picking 1 v, 1 k, and 1 i when three letters picked without replacement from {c: 9, k: 1, z: 3, f: 1, i: 3, v: 2}.
2/323
What is prob of picking 1 y and 1 p when two letters picked without replacement from {n: 1, i: 1, p: 1, e: 2, y: 2, x: 1}?
1/14
What is prob of picking 1 z, 1 p, 1 u, and 1 j when four letters picked without replacement from {j: 1, u: 1, p: 2, z: 9}?
18/715
Two letters picked without replacement from {e: 4, g: 1, j: 5, f: 1, z: 6, q: 3}. What is prob of picking 1 z and 1 f?
3/95
What is prob of picking 1 j and 1 y when two letters picked without replacement from venyyjna?
1/14
What is prob of picking 2 f and 2 s when four letters picked without replacement from fssfsffsssfffsfssfs?
135/323
Three letters picked without replacement from iiiiiiiaqiiihaiiiiy. Give prob of picking 2 a and 1 q.
1/969
What is prob of picking 1 u, 1 a, and 1 y when three letters picked without replacement from lyyluauuly?
3/40
Four letters picked without replacement from {k: 4, i: 7}. Give prob of picking 2 k and 2 i.
21/55
Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 1, f: 1, a: 1, h: 1, u: 1}.
1/10
What is prob of picking 3 f and 1 c when four letters picked without replacement from {n: 1, c: 3, f: 5, h: 1, x: 4}?
30/1001
What is prob of picking 1 l and 1 x when two letters picked without replacement from uuuuphnunnuxphl?
1/105
Three letters picked without replacement from thpitiss. What is prob of picking 2 t and 1 i?
1/28
Calculate prob of picking 1 p, 1 u, and 2 q when four letters picked without replacement from qziuiiqpdiiquuidii.
1/340
What is prob of picking 2 p and 1 r when three letters picked without replacement from pgpggggrpgppggpggg?
5/272
Three letters picked without replacement from kfcnf. What is prob of picking 1 n and 2 f?
1/10
Two letters picked without replacement from {l: 1, m: 3, y: 7, x: 1}. What is prob of picking 1 l and 1 y?
7/66
Two letters picked without replacement from gmgfcmzcfgmm. What is prob of picking 2 z?
0
What is prob of picking 1 w and 2 g when three letters picked without replacement from wwgwggg?
18/35
What is prob of picking 1 q and 1 m when two letters picked without replacement from {q: 1, h: 1, m: 4, b: 9}?
4/105
Calculate prob of picking 1 v, 1 w, and 2 p when four letters picked without replacement from ppwvppwwpvppvppwvpp.
220/969
What is prob of picking 1 c and 1 k when two letters picked without replacement from {e: 8, c: 3, k: 6, p: 2}?
2/19
Three letters picked without replacement from vvvvuvvuvvu. What is prob of picking 1 u and 2 v?
28/55
What is prob of picking 1 z and 1 p when two letters picked without replacement from pzppzppzzzpp?
35/66
Two letters picked without replacement from {h: 12, f: 7}. Give prob of picking 1 h and 1 f.
28/57
Two letters picked without replacement from ybbbbbbbsbob. What is prob of picking 1 s and 1 b?
3/22
Calculate prob of picking 3 l and 1 e when four letters picked without replacement from {m: 7, e: 1, l: 5}.
2/143
Two letters picked without replacement from {p: 1, q: 1, k: 6, g: 6, z: 1, h: 5}. What is prob of picking 1 k and 1 q?
3/95
Two letters picked without replacement from vhhhuvhhuhuhv. Give prob of picking 1 u and 1 v.
3/26
Four letters picked without replacement from {x: 5, n: 3, y: 4, r: 1}. Give prob of picking 3 n and 1 r.
1/715
Three letters picked without replacement from {z: 2, h: 2}. What is prob of picking 2 z and 1 h?
1/2
What is prob of picking 1 t, 1 w
|
{
"pile_set_name": "DM Mathematics"
}
|
- p*r = 3*r - 20. Is 15 a factor of d?
True
Let d = -5 - 1. Let f = 12 + d. Is 5 a factor of f?
False
Let v(m) = 19*m - 6. Let i be v(6). Suppose 4*a - 12 = i. Is 14 a factor of a?
False
Suppose 0 = 3*l + 4*h + 3 - 13, -3*l + 1 = -5*h. Suppose l*w = 17 + 13. Is w a multiple of 10?
False
Suppose 15 = i - 0*i. Suppose -2*w + 19 = -3*z - 0*z, i = -5*z. Suppose -3*m + 3*v = -66, -110 = -w*m + 7*v - 3*v. Does 11 divide m?
True
Let d(c) = 7 - 7*c + 3*c**2 + 12*c**2 - c - 2*c**2. Is d(3) a multiple of 28?
False
Let b(i) = -i**3 - 4*i**2 + 3*i + 1. Let n(r) = r**2 - r - 1. Let k(d) = -b(d) - 5*n(d). Let x be k(4). Suppose 5*f = x + 30. Does 13 divide f?
False
Suppose u = 4*d - 59 + 15, -32 = -4*d - 2*u. Is 285/d - (-2)/4 a multiple of 14?
False
Let h(f) = -f**2 - 5*f - 1. Let m be h(-7). Let n = 25 + m. Does 10 divide n?
True
Suppose -2*a - 5*j = -77, 0 = -3*j + 7 + 2. Does 3 divide a?
False
Let u(x) be the second derivative of 5*x**4/6 + x**3/3 - 2*x**2 - 9*x. Does 16 divide u(-3)?
True
Suppose -2*s = -v + 95, -16 = 4*s - 3*v + 169. Let c be (0 - -1) + (-10 - 1). Is c/15 - s/3 a multiple of 14?
False
Suppose -5*m + 33 = -v + 472, 2*m = -v + 453. Is v a multiple of 14?
False
Suppose -2*t + t + 7 = 0. Does 26 divide 704/14 - 2/t?
False
Let r(j) = j**3 - 6*j**2 + 6. Let g = 17 + -12. Suppose -k + g = -1. Is r(k) a multiple of 2?
True
Let q = -77 + 43. Let i = q - -49. Is i a multiple of 15?
True
Is ((-8)/12)/(2/(-36)) a multiple of 4?
True
Suppose -2*p - 4*d = 6, -4*p + 2*d - d = 21. Let y(f) be the second derivative of -f**3/6 + 5*f**2/2 + f. Is y(p) a multiple of 8?
False
Let c = 105 + -102. Is c a multiple of 2?
False
Let j(w) = w**2 + 14*w + 69. Is 5 a factor of j(-12)?
True
Let u be (-1 - 1) + 0 - -4. Suppose 2*b + 3*k + 2 = 15, -5*k + 3 = u*b. Is 14 a factor of b?
True
Does 17 divide ((-1521)/65)/(27/15 + -2)?
False
Let p be (0 - -1)*(0 - 0). Let f = p + 2. Suppose 139 = 5*r + 3*v, f*r - 4*v - 45 = -5. Does 13 divide r?
True
Let o(v) be the first derivative of v**4/4 - 3*v**3 + 13*v**2/2 - 12*v - 3. Suppose -3*x + 2*x = -8. Is 14 a factor of o(x)?
True
Let y = 42 + -75. Let m = -18 - y. Does 10 divide m?
False
Let m(a) = 2*a**2 - 7*a + 4. Let h be m(5). Let n = 33 - h. Is n a multiple of 4?
False
Let y(v) = 7*v + 2 + 0 + 5. Let o be y(8). Let q = o + -45. Is 18 a factor of q?
True
Let t be -2 + (1 - (1 - -6)). Let m = t - -12. Is m a multiple of 4?
True
Does 19 divide 136/(-12)*27/(-6)?
False
Let h = 7 + 8. Let r be 2/2 - 12/(-2). Let n = h - r. Is 8 a factor of n?
True
Suppose -3*o = -4*o + 30. Suppose -4*d = -3*r + 2 + o, -22 = -2*r + 3*d. Is 3 a factor of r?
False
Suppose -171 + 39 = -3*c - r, 176 = 4*c + 2*r. Is c a multiple of 10?
False
Let v(m) = 0*m - 7 - 11*m - 6*m + 4*m. Is v(-4) a multiple of 6?
False
Suppose 5*h - 125 = 295. Let o(b) = -b**3 - 58. Let y be o(0). Let w = y + h. Is w a multiple of 14?
False
Suppose 4*x - 2*b + 130 = 0, 0 = -0*x + 4*x + 3*b + 135. Let c = 72 + x. Does 13 divide c?
True
Let q(m) = -m + 4. Let i = 2 - 0. Is q(i) even?
True
Let l = 28 - -268. Does 37 divide l?
True
Let f(r) be the second derivative of 5*r**3/6 - 6*r**2 + 10*r. Is 11 a factor of f(8)?
False
Suppose 0 = 4*y - 22 - 2. Is 6 a factor of 6/4 + 135/y?
True
Suppose h = 4*g - 5, -g + h - 2*h = -5. Suppose -g*b + 2 = -b. Is 3 - (b + 3/(-1)) a multiple of 4?
True
Suppose -7*j + 2*j = -50. Suppose p + j = 3*p. Is 4 a factor of p?
False
Let f be (-26)/(-10) + 2/5. Is (f - 0) + (-1 - -28) a multiple of 9?
False
Let w(y) = -y**3 + 5*y**2 + 5*y + 5. Let b be w(6). Let h be 1/(198/201 + b). Let a = -36 - h. Is 12 a factor of a?
False
Let h(v) = v**3 + 7*v**2 - 8*v + 8. Let i be 3/(-2)*(-32)/(-6). Is h(i) a multiple of 2?
True
Is 14 a factor of (-2)/(-3) + (-248)/(-6)?
True
Let f = 466 + -302. Does 13 divide f?
False
Let x = -6 + 15. Let r be (6/4)/(x/12). Does 7 divide 27/2 + 1/r?
True
Let k(i) = -3*i**3 - i**2 - 3*i - 1. Let n = 13 + -15. Does 11 divide k(n)?
False
Let v(y) = -3*y**2 - 6*y + 3. Let r(w) = 2*w**2 + 5*w - 3. Suppose -3*g - 11 = -2. Let h(a) = g*v(a) - 4*r(a). Does 8 divide h(5)?
False
Let y(v) = -v**3 - 8*v**2 + 5*v - 12. Is 8 a factor of y(-9)?
True
Let r(y) = 8*y**2 + 2. Is 5 a factor of r(2)?
False
Let t(w) = 9*w + 3. Let c be t(-6). Let s = -53 - 20. Let z = c - s. Is 11 a factor of z?
True
Suppose 89 = -0*c + c + v, 0 = 3*v + 3. Does 9 divide c?
True
Is 30*7/(70/68) a multiple of 28?
False
Let m(j
|
{
"pile_set_name": "DM Mathematics"
}
|
*v + 11 = -2*j + 1, 0 = l*v + 8 for j.
3
Let p(f) = 12*f - 26*f + 7*f + 3*f - 3*f + 136. Let w be p(18). Solve r - 2*t + 2 = 0, -2*t + w = r + 4 for r.
2
Suppose -70*w = 108*w - 40*w. Solve -10*u = -7*u + 2*d + 5, w = -3*d + 15 for u.
-5
Let h be 4*(1/2)/(25/100). Suppose -25*s + 27*s = h. Solve 0 = s*z - 5*b - 13, -1 - 10 = -3*z + 4*b for z.
-3
Let w be ((-4)/1)/(2 + (-28)/21). Let z be (-3 - 2) + (-3)/(w/4). Let b be 50/(-15)*z/2. Solve -5*y = -j + b - 0, 0 = -y + 3*j - 15 for y.
0
Let w be 8 + -11 - (-63 + -1). Let c = w - 61. Solve -n = -c*i + 4*i + 16, -5*i - n - 20 = 0 for i.
-4
Let x(i) = 280*i + 4221. Let t be x(-15). Solve -o - 18 = 5*v - t, 0 = 3*o - 9 for v.
0
Let s = -13416 + 13436. Solve 4*q - s = -0*q - 2*u, 0 = -6*q + 4*u + 30 for q.
5
Suppose 71*c + 414 - 914 = 565. Solve 0 = 3*a - 2*g - 2, -19*g = a - c*g - 10 for a.
2
Let l be 86 + -85 + (0/2 - (-4 + 1)). Solve -3*p = 2*c + 3*c - l, 4 = 2*c for p.
-2
Let h = 43 + -38. Solve -2*g + a = -9, -h*g + 3*a + 26 = -0*g for g.
1
Let y = -5 + 7. Solve -5*i = -3*w - y - 5, 0 = 4*i + 5*w - 13 for i.
2
Suppose -v = 15*v + 64. Let c be (-3 - (v + 1)) + 5. Solve 3*a = -c*l + 2*a + 3, 8 = -2*l - 5*a for l.
1
Let d(q) = q - 48. Let v(z) = 2*z - 72. Let x(j) = -8*d(j) + 5*v(j). Let f be x(-10). Suppose s - 3 = f. Solve s*b + 16 = -4*t + 4*b, -b + 4 = -t for t.
-4
Let s = -15985 - -15993. Solve 3*w = 22*v - 27*v + 10, w - 3*v = s for w.
5
Suppose 0 = 4*w - 3*p - 29, -3*p = w - 2*p - 2. Let b(s) = 3*s**2 - 63*s + 3. Let a be b(21). Solve -w*m + 2*f + 15 = 4*f, -5 = -4*m - a*f for m.
5
Suppose -5*m + 26 = 13*v - 17*v, -3*v + 5*m - 27 = 0. Solve v = -i + 3*z, 3*i - z - 8 = i for i.
5
Let n be (-16)/(-24) + (26/6 - 1). Suppose -3*t + 5*t = -n, 0 = -l - t + 2. Solve -l*b = -5*w + 20, 4*b + 18 = w - 2 for w.
0
Suppose 0 = 4*l - 50 + 58, 0 = 5*f - 2*l - 34. Let a be 5/(-2 + 14/6). Let g = a + -11. Solve -2*j = g*y - j - 5, -y - 5*j = -f for y.
1
Suppose 126 - 196 = -7*f. Solve -17*s + 14*s = m - 6, f = m + 5*s for m.
0
Suppose -2*m + 7*m = -5, -2*m + 34 = 4*y. Suppose 4*s + 87 = -9. Let t = s + 26. Solve -u - u - 4*b + 22 = 0, -u + t*b = y for u.
1
Let f = 4071 + -4052. Solve -3 = -i, 3*i - f = 25*s - 30*s for s.
2
Let d = -685 - -364. Let t = d - -323. Solve 5*s - 5*i + 25 = -2*i, t*s - 4*i = -24 for s.
-2
Suppose 37*s - 114 = -3. Solve -s*c = -6, 5*i - 5 - 7 = -c for i.
2
Suppose 14*b - 54 = 5*b. Suppose b*j + 5 - 21 = -m, -5*m = -4*j + 22. Solve -2*o = 3*r + 13, r + r = j*o for o.
-2
Suppose -2*l - 70 = n - 82, -n + 8 = l. Solve x - 27 = 5*t, 1 + 29 = -3*t - n*x for t.
-6
Let t = 669 - 665. Solve 4*b - t = 0, 0*b + 2 = 4*d + 2*b for d.
0
Let j(h) = -h**3 + 12*h**2 + 5*h - 31. Let s be j(3). Solve 4*i = -2*a + 4, -2*i - 62*a = -s*a - 2 for i.
1
Suppose -120 - 170 = -10*a. Suppose -a*o + 286 = -16*o. Suppose -o*v + 40 = -14*v. Solve -k - 6 = -3*p, -2*k - 1 = v*p - 0*k for p.
1
Suppose 9*x = 872 + 478. Let g = -146 + x. Solve 0*q - g*d = q + 1, -5*q - 5 = 3*d for q.
-1
Let x(p) = -18*p - 416. Let y be x(-24). Solve -5*a = 4*n + y, 10*n - 4 = 6*n for a.
-4
Suppose -2*j + 4*t + 26 = 0, 1191*j + 5*t = 1188*j + 50. Solve 4*r + 5*c = 29, 0 = -5*r - 22*c + 20*c + j for r.
1
Let o = -16 + 18. Suppose 0*v + o = v. Let u be (-8 + 6 - 0) + (-10)/(-2). Solve -v*q - 6 = 0, -1 + u = -2*w + 2*q for w.
-4
Let v = -16716 - -16721. Solve 18*y - f = 16*y, -v*y - 6 = -4*f for y.
2
Let z be (2 - 2)*(-4)/(-8). Let t(g) = 7 - 11*g - g**3 + 8*g**2 - 11*g + 22*g. Let x be t(8). Solve z*j + 15 = -3*j, -2*u + 3*j + x = 0 for u.
-4
Let t(y) = -y**2 - 120. Let j be t(-14). Let g = 320 + j. Solve -g*n - 1 = -9*n - 3*r, 0 = -5*n - 2*r - 1 for n.
-1
Suppose 0 = -23*l + 13*l - 2*u + 28, 5*l - 18 = -2*u. Let i = 4 - 2. Solve -12 = i*q - 6*q - j, 0 = -l*j for q.
3
Suppose 0 = -14*g + 5 + 51. Solve -o - 3*l + g = -5*l, 3*o + 3*l - 12 = 0 for o.
4
Let y = -4590
|
{
"pile_set_name": "DM Mathematics"
}
|
s 74.226 minus 103?
-28.774
Calculate -75 - -0.1.
-74.9
Calculate -11 - 2.1932.
-13.1932
Work out -7 + -238611.
-238618
What is 57 plus 0.1198?
57.1198
Calculate -82896 + -18.
-82914
Work out -291 - 8355.
-8646
What is the distance between -22 and 0.17?
22.17
Work out -1354.589 + -0.4.
-1354.989
-0.02 - 13.9
-13.92
Calculate 1 - 56317.
-56316
Sum 0.55107 and -0.9.
-0.34893
Subtract -0.15 from 4618.
4618.15
What is 2229 plus 2?
2231
What is -13 less than 0.20459?
13.20459
What is -223.5 take away -4707?
4483.5
Calculate -0.051 + 862.
861.949
Add together 0.2 and -0.011105.
0.188895
0.3+0.023
0.323
-1016 + -0.1
-1016.1
Calculate 2 + -524.36.
-522.36
-4.408 + 0.19
-4.218
What is 0.1 + -1167.425?
-1167.325
Subtract -313.5 from -3.
310.5
Total of -7019 and -3.1.
-7022.1
-0.09842+-41
-41.09842
What is -0.1 + 3.15?
3.05
Work out 2.19 - -3.
5.19
What is 0.3 take away 318?
-317.7
What is -1348 minus 0?
-1348
Put together -145 and -0.092.
-145.092
Add together 14445 and -0.9.
14444.1
What is -4 less than -3487?
-3483
-286 - -4
-282
Calculate 22389 - -2.23.
22391.23
-0.48 + -77
-77.48
Subtract -212 from 13.
225
What is 0.36 - -51?
51.36
-1.6318 - 8
-9.6318
What is -64.48 + 4?
-60.48
0.05079 - 44
-43.94921
Put together 2 and 8.6.
10.6
What is -0.5 plus -96?
-96.5
Work out -0.5 + 90772.
90771.5
Calculate -8254.5 + 1.
-8253.5
What is -790 + -0.53?
-790.53
Calculate -15 + -655494.
-655509
Work out 1793 + 13.
1806
What is 0.05 plus -0.1219?
-0.0719
What is -2 take away -278122?
278120
-0.54+0.4
-0.14
What is 163 minus -0.247?
163.247
5.27+-40
-34.73
Work out 1.4044 - -0.03.
1.4344
What is 0.2 take away -109437?
109437.2
Sum -711 and 5426.
4715
Sum 17.5 and 0.013.
17.513
What is 5 - -0.0709?
5.0709
Add -0.0161 and 196.
195.9839
Subtract -332 from 24.5.
356.5
What is 1290662 less than -3?
-1290665
What is 0.13 - 4169?
-4168.87
What is -3 plus -388?
-391
Work out 23750 - -0.2.
23750.2
Calculate -0.4 + -0.1364.
-0.5364
11.73596 + -0.1
11.63596
Work out 4462 - -0.5.
4462.5
Add 8254 and 85.
8339
Add together -135 and -2044.
-2179
Calculate -391 - 8.
-399
Add -0.73 and -0.147.
-0.877
Work out 6.8 + -0.4.
6.4
1 - 36.13
-35.13
What is -0.045 plus -57?
-57.045
Calculate 0.7 - -1729.
1729.7
Subtract 28605 from -1.7.
-28606.7
What is -37 less than -120?
-83
Add -193560 and -1.
-193561
Calculate -0.05 - -1800.7.
1800.65
1+336117
336118
What is 633639 less than -12?
-633651
What is -65 less than 0.85348?
65.85348
Add together 21.3 and 0.026.
21.326
Calculate 0.2 + 434.167.
434.367
Add together -0.16 and 92.
91.84
Add 0.036 and -14.
-13.964
Put together -1 and 1.106.
0.106
Total of 6.15762 and -4.
2.15762
Add together -42 and 1114.
1072
What is the difference between -0.021133 and -210?
209.978867
What is 69 + -10.581?
58.419
What is -189997 - 12?
-190009
What is the distance between 159 and 0.5263?
158.4737
What is the difference between 0.145 and 0.085?
0.06
What is -5.9451 less than 3?
8.9451
What is 0.254 + -0.9404?
-0.6864
-0.06 - -7871
7870.94
Add together 763.6 and 85.
848.6
Work out -19.315 - -0.4.
-18.915
What is -7.842 less than 4?
11.842
Work out 0.0236 - 76.
-75.9764
Total of -9.5 and 0.83.
-8.67
What is -13150.1 minus 0.5?
-13150.6
Calculate 2007 + -24.
1983
Total of -0.5 and 167.
166.5
Put together -1336337 and 5.
-1336332
What is -1 minus 1.34?
-2.34
Work out 11.7 + 0.2184.
11.9184
Sum -7 and 0.967.
-6.033
Calculate 13.16 - -4.
17.16
Put together 3.5 and -18135.
-18131.5
Sum -0.017 and 0.304.
0.287
0.3 - 56754
-56753.7
Work out -82148 - 0.12.
-82148.12
What is -5599 take away -0.8?
-5598.2
12 + 862.9
874.9
Add -5.243 and -2.21.
-7.453
What is -0.206 - -4?
3.794
What is -219.4 minus 0.4?
-219.8
Total of -134782 and 3.
-134779
Subtract 3517 from 103.
-3414
What is 7 minus -6.3?
13.3
Sum -0.3 and 0.58631.
0.28631
What is -0.3 + 0.34?
0.04
What is the difference between -431 and -4303?
3872
Work out -42386 + -2.
-42388
Total of 0.00756 and 0.
0.00756
What is 0.13 - 8643?
-8642.87
-2+-3566
-3568
Calculate 242 + 950.1.
1192.1
What is 2043 plus -15?
2028
Calculate -0.3 + -4.8.
-5.1
What is 0 take away -3022.22?
3022.22
0.2 + 204
204.2
Add 593 and 24.
617
What is 1031 + 0?
1031
-0.1 + 14354
14353.9
20 + 924
944
What is 16854.2 less than -0.1?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5. Let q be 6/(-12) - o/2. Solve q - 29 = -5*n for n.
5
Let r(z) = 2*z + 2. Let s be 69/15 - 0 - (-8)/20. Let n be r(s). Solve n + 13 = -5*y for y.
-5
Suppose -806 = -3*n - 28*n. Solve -13*y + 0 = -n for y.
2
Suppose z - 3*m - 11 = 0, -m = -2*z - z + 1. Suppose 25*i + 16 + 9 = 0. Let s be i*(z - 1) + 0. Solve 0 = d - s*d for d.
0
Let w = -117 + 125. Suppose -4 = -9*o + w*o. Solve o*u + 15 - 7 = 0 for u.
-2
Let f be (-1 + -2)*(-38)/3. Let l be f/5 - (-12)/(-20). Let y(d) = -d - 1. Let g be y(-4). Solve 0 = g*j - l - 8 for j.
5
Let o = 18 + -13. Let x be o*((-48)/(-20))/6. Solve -x*w = -3*w for w.
0
Let k(u) = -4*u**3 - u**2 - u - 1. Let s be k(-1). Suppose -17 = s*g - 7*g - 5*d, -4*d = 4*g - 16. Solve 4*b = -11 + g for b.
-2
Suppose -4*r = -p + 15, -3*p - 14 = -5*r - 45. Solve p*o - 30 = -16 for o.
2
Let l be (540/(-24) - -7)*-4. Solve -17*i - l = 6 for i.
-4
Suppose 26*i - 10 = 21*i. Solve -5*b - i + 7 = 0 for b.
1
Let z = 5 + 0. Suppose -5*s + z*l = -5, 2*l = -0*l + 2. Let c = s - -1. Solve m + c*m = 8 for m.
2
Let r(z) = z**3 + z**2 + z + 1. Let h be r(-1). Let s = 2638 - 2635. Solve h = s*q - 4*q + 1 for q.
1
Let q(j) = 6*j**2 + 7*j + 10. Let a be q(-2). Solve -a = 3*p + p for p.
-5
Suppose 9*j = -329 - 382. Let h = -79 - j. Solve -5*f + h = 5 for f.
-1
Suppose -5*m + 18 = 3*v, 0 = 12*m - 7*m - 4*v - 11. Suppose 3*j - 18 = 3*q - 6, -m*j - 4 = q. Solve j*s + 1 = s for s.
1
Suppose -6*b - 1 + 19 = 0. Solve 2*v - v = b for v.
3
Let w be (1 - 5/(-5)*1)*1. Solve 5*a - 14 = -w*a for a.
2
Suppose 3*w - 54 = -15. Suppose 5*k + 3 = w. Suppose -a - 2 = k*r - 1, 0 = -a - 5*r - 7. Solve -a*z = -5*z + 4 for z.
2
Let j = -665 - -814. Solve -j*t = -154*t - 25 for t.
-5
Let z be 3/3 - -3*(-1)/(-3). Suppose z*x - 2*k - 16 = 0, 8*x = 6*x - 5*k + 9. Solve 0 = 8*h - x*h for h.
0
Let k be 10/(-55) - 24/(-11). Solve 10 = -0*m - k*m for m.
-5
Suppose 0 = 4*l - 302 + 206. Solve -7*x = 4 + l for x.
-4
Suppose 2*x - 20 = 3*s, -s = 179*x - 175*x - 26. Let n = -4 + 7. Solve -x + n = 4*u for u.
-1
Suppose -3*b + 11*b = -3*b. Suppose 0 = -2*p + 2 + 4. Solve -k + p = -b*k for k.
3
Suppose -5*c - 3*y + 153 = -82, 5*c - 5*y - 235 = 0. Let z = c + -47. Solve 0 = -2*s - z + 2 for s.
1
Let w(c) = c**2 + 3*c - 6. Let d be w(-5). Let t be (-2 + (-15)/(-6))*d. Suppose -t*o + 3*o = 0. Solve 3*u = -o*u for u.
0
Suppose -8*q - 27 - 45 = 0. Let x(w) = -6*w. Let l be x(-2). Let n = l + q. Solve -2 = -n*m + m for m.
1
Let r = -10 + 13. Suppose 3*n = -3*a + 57, 2*n = r*n + 4*a - 13. Solve 0 = -5*t - 6 + n for t.
3
Suppose -9 = 3*k + 24. Let u = k - -13. Suppose 0 = 5*j + 2*q - 7, 24 = -u*j + 6*j - 3*q. Solve 4*p + 4 = j*p for p.
-4
Let x be ((-80)/12 - -4)/(2/(-69)). Let b = x + -89. Solve 2 = -b*k + 2*k for k.
-2
Let z = 15 - 41. Let y = 32 + z. Solve 5*s = -26 + y for s.
-4
Suppose 5*h = -2*i + 19, -17 = -3*i - 5*h + 4. Suppose 2*c - 4 = i. Solve 0 = -v + c*v - 4 for v.
2
Let u(g) = 10*g + 441. Let r be u(-43). Solve -4*k = r*k for k.
0
Let z(s) = 16*s**3 + 2*s**2 + s - 1. Let g be z(1). Let p = 32 + -28. Solve -6 = -p*k - g for k.
-3
Suppose 25 = -2*r + 5*n, -110 = 3*r + r + 2*n. Let i be (r - -24)*(2 - 1)*-3. Solve -2*o - 7 = i for o.
-5
Let a = 1215 - 1209. Solve -2*z - 2*z = a*z for z.
0
Let u(j) be the third derivative of -j**4/6 - j**3/6 - 3*j**2. Let w be u(-1). Suppose 7 = -w*q + 1, -3*z + 5*q = -25. Solve -z*i - 2 = -3*i for i.
-1
Let v be ((-4)/(-7))/(-1 + (-9)/(-7)). Suppose 2*s + 0*s = 0. Solve s = -0*o + o - v for o.
2
Suppose 2 = 3*t + 4*x + 1, 2*t + x = 4. Let n be ((-6)/4)/(2/(-12)) + -8. Solve t*o - n = 4*o for o.
-1
Suppose -33 = g - 11. Let p = 44 + g. Let l = -16 + p. Solve 9 = -3*o - l for o.
-5
Let n = -22 - -41. Let r = 1 - n. Let f be r/(-3)*(-2)/(-3). Solve -m = -0 + f for m.
-4
Suppose -2*h + 6 = -4. Let j(q) = 3*q**3 + 20*q**2 + 24*q - 5. Let y be j(-5). Suppose -h*w = -y*w. Solve 2*g - 1 + 9 = w for g.
-4
Let q = -879 - -896. Solve 0 = -14*i + q*i - 15 for i.
5
Let s be (-26)/143 + -6*57/(-66). Solve s*l + 50 = -5*l for l.
-5
Suppose 10 = 4*q + f - 18, -q = -3*f - 20.
|
{
"pile_set_name": "DM Mathematics"
}
|
82 + 80.
-12*f
Collect the terms in 8*f + 2*f + 38833*f**2 - 38830*f**2.
3*f**2 + 10*f
Collect the terms in -21172*u + 42348*u - 170*u**2 - 21176*u.
-170*u**2
Collect the terms in 6 - 6 - 993*v - 1.
-993*v - 1
Collect the terms in -185*t - 21*t**2 - t**3 + 96*t - 28*t**2 + 89*t.
-t**3 - 49*t**2
Collect the terms in 247943 + 303*y - 858*y - 247943.
-555*y
Collect the terms in -4618*n**2 + 2666 - 2666.
-4618*n**2
Collect the terms in -155 + h - 146 - 141 + 435.
h - 7
Collect the terms in -87*v**2 - 78*v**2 + 309*v**2 - 73*v**2.
71*v**2
Collect the terms in -273*a + 0 + 0 + 97*a - 313*a.
-489*a
Collect the terms in -12*d**2 + 991092*d - 991092*d.
-12*d**2
Collect the terms in 467925*q**3 - 233947*q**3 - 233959*q**3 - 3*q**2.
19*q**3 - 3*q**2
Collect the terms in 0*v - 180*v**2 + 480*v**2 + 3*v - 82 - 2*v.
300*v**2 + v - 82
Collect the terms in -2650*f**3 + 5564*f**3 - 2916*f**3.
-2*f**3
Collect the terms in -4 - 2*d + 29 - 25.
-2*d
Collect the terms in -3*d + 54*d**2 - 112*d**2 + 58*d**2 + 6*d**3.
6*d**3 - 3*d
Collect the terms in -82*v + 2018*v**3 + 82*v.
2018*v**3
Collect the terms in -55*a**3 - 291*a**3 + 58*a**3.
-288*a**3
Collect the terms in 42*r**3 - 3334 - 16*r**3 - 11*r**3 + 3334 - 13*r**3.
2*r**3
Collect the terms in 1449*d**2 - 1449*d**2 + 243*d**3.
243*d**3
Collect the terms in 157 - f - 110 + 352 + 111.
-f + 510
Collect the terms in -3248*p**3 - 269 + 269.
-3248*p**3
Collect the terms in -27401*w - 3*w**3 + 22*w**2 + 27401*w.
-3*w**3 + 22*w**2
Collect the terms in -357310 + 6*u**3 - u**3 + 357310.
5*u**3
Collect the terms in -8*c**2 - 6*c**2 - 3*c**2 - 436*c**3 + 222*c**3 + 216*c**3.
2*c**3 - 17*c**2
Collect the terms in 1845 + o - 12*o**2 - 1845 - o.
-12*o**2
Collect the terms in -3 + 38*b + 4 + 74*b - 14*b.
98*b + 1
Collect the terms in 2739*s**2 - 5567*s**2 + 2829*s**2.
s**2
Collect the terms in -9*r**2 + 7*r**2 - 1379*r + 1391*r.
-2*r**2 + 12*r
Collect the terms in -2*l - 362*l**3 + 2*l - 6363*l**3.
-6725*l**3
Collect the terms in 192*c + 197*c - 970*c + 198*c + 193*c + 192*c.
2*c
Collect the terms in -1 + 105*s + 2 - 1 - 123*s.
-18*s
Collect the terms in 5 + 6 + 11720*u - 11719*u.
u + 11
Collect the terms in -3242*a + 7*a**2 + 1653*a + 1589*a.
7*a**2
Collect the terms in 9*k**2 - 1185*k + 563*k + 622*k.
9*k**2
Collect the terms in -56*o - 44*o - 8*o + 3*o.
-105*o
Collect the terms in 5755257*g**3 - 2877632*g**3 - 2877629*g**3.
-4*g**3
Collect the terms in -46*z**2 - 8*z - 45*z**2 + 88*z**2 - 3*z.
-3*z**2 - 11*z
Collect the terms in -5 - 12767*j**3 + 12768*j**3 + 5.
j**3
Collect the terms in -2 + 2 - 92*z**2 - 187*z**2 - 102*z**2.
-381*z**2
Collect the terms in -12898*i**3 - 12891*i**3 + 25794*i**3.
5*i**3
Collect the terms in -1614*x**2 - 1486*x**2 + 4717*x**2 - 1614*x**2.
3*x**2
Collect the terms in -5*l**2 + l**2 + 892*l + 5*l**2 - 892*l.
l**2
Collect the terms in -105 + 0*a**2 - 20*a**2 + 110.
-20*a**2 + 5
Collect the terms in 1679*f + 1620*f - 4920*f + 1619*f.
-2*f
Collect the terms in 0*u**2 + u**2 + 2*u**3 - 726 - 17*u**3.
-15*u**3 + u**2 - 726
Collect the terms in -408*q - 411*q + 1268*q - 449*q - 2*q**3.
-2*q**3
Collect the terms in 5208*k + 5280*k + 5275*k - 15764*k.
-k
Collect the terms in -39*y**3 + 8*y**3 - 161*y**2 + 252*y**2 - 91*y**2.
-31*y**3
Collect the terms in -5799*v - 1410*v + 921*v.
-6288*v
Collect the terms in -2331484 + 4662968 + 5*s - 2331484.
5*s
Collect the terms in 121*u**2 - 4303*u**2 - 275*u**2.
-4457*u**2
Collect the terms in -114243 - c**3 + 114243.
-c**3
Collect the terms in 3640*h**3 - 847*h**3 + 838*h**3.
3631*h**3
Collect the terms in 586*d**3 - 372*d**3 + 1272*d**3 + 970*d**3.
2456*d**3
Collect the terms in -22*l**2 + 2033 - 2033.
-22*l**2
Collect the terms in 137*m - 67*m + 22*m**2 - 70*m + 9*m**2.
31*m**2
Collect the terms in 3*q - 3*q - 2*q + 4*q + 147.
2*q + 147
Collect the terms in -55 - 25 + 4*a - 5*a + 34.
-a - 46
Collect the terms in 756*g + 4*g**2 + 5*g**2 - 756*g - 11*g**2.
-2*g**2
Collect the terms in -129*p + 1232*p - 1107*p.
-4*p
Collect the terms in 2877*v**2 - 11*v**3 - 71*v**3 - 2858*v**2.
-82*v**3 + 19*v**2
Collect the terms in 353*m**3 - 268*m**3 - 207*m**3.
-122*m**3
Collect the terms in -251*m + 322*m**2 + 251*m.
|
{
"pile_set_name": "DM Mathematics"
}
|
to -1? (a) z (b) -0.1 (c) k
b
Let z = 0.7 - 0.2. Let s = 185.12 - 181. Let x = -0.12 + s. Which is the closest to x? (a) -5 (b) z (c) 2
c
Let r = -10.56 + 6.56. Let f = -1 + 0.9. What is the nearest to f in 5, r, -6/11?
-6/11
Let x = 2.65 - 2.65. What is the closest to 0.2 in -0.1, x, -0.4?
x
Let j be (-64)/36 + 1*2. Let v = -1056 + 1056.17. Which is the nearest to -1? (a) -2 (b) v (c) j
a
Let r be 8/(7280/247) - 1/5. Which is the nearest to r? (a) -2 (b) -1/4 (c) 0
c
Let n(k) = 3*k**2 + 2*k + 3. Let o be n(-3). Let j = -6941 - -6939. Which is the closest to 1? (a) j (b) -3 (c) o
a
Let r(f) = f**3 - 5*f**2 - 7*f + 3. Let u be r(6). Let i = -2/3 + 5/12. What is the nearest to u in i, -5, 0?
-5
Let k(o) be the third derivative of o**5/60 + o**4/6 - o**3/6 - o**2. Let n be k(-5). Let d = -593 - -590. Which is the closest to 0? (a) n (b) d (c) 0
c
Let s = 17 + -16.89. Let w = s + -16.11. Let t = 17 + w. What is the closest to t in -1/5, -0.3, -3?
-1/5
Let s = -0.6 + 0.2. Let y = 3.0252 - 0.0252. Which is the closest to 0? (a) s (b) 1 (c) y
a
Suppose -2*n - 4*r + 4 = 0, -6 + 9 = 3*r. Which is the closest to -0.1? (a) 2/9 (b) -2/5 (c) n (d) -2
c
Let g = -0.4 - -0.28. Let k be (-6)/22 - 2068/(-484). What is the nearest to g in 4/3, -2, k?
4/3
Let b(h) = 2*h**2 - 2*h + 3. Let o be b(2). Let t = -0.9 - 0.1. Let w = t + 0.6. What is the nearest to o in w, 5, -1?
5
Let a = -1 - -24. Let h = a - 35. Let j = h + 10. What is the nearest to 2 in -0.3, 2/3, j?
2/3
Let n = 0.05 - -0.35. Let v be ((-2)/21)/((-1)/((-49)/21)). Which is the closest to v? (a) n (b) -2 (c) 0.2
c
Suppose -262*q = -260*q + 8. What is the closest to 2/9 in 0.4, 1.2, 0.3, q?
0.3
Let w = -0.0606 + 0.5606. Let v = -2.5 - -2. What is the nearest to w in -3, -0.2, v?
-0.2
Let g = 545/714 - 28/51. Which is the nearest to g? (a) 1 (b) -3 (c) -0.2
c
Let p = -51 - -50. Which is the closest to p? (a) 0.1 (b) -29 (c) -0.2
c
Let j = -41 + 231. Let l = j - 2848/15. What is the nearest to 2 in -4, l, 5?
l
Suppose 0 = -n + r - 4*r - 17, -4*n - 38 = 2*r. Let m be -2 + (-52)/n + -3. What is the nearest to 2 in 2/9, m, -5?
m
Let k = 13.9 + -13.8. Which is the closest to 0.1? (a) 2 (b) -3 (c) k
c
Let a = -284 - -283.7. What is the nearest to a in 0, 1, 0.5?
0
Suppose 2*t = 4*t + 560. Let b = -1964/7 - t. Let l(m) = -m**2 - 17*m + 19. Let s be l(-18). What is the closest to s in 3, 5, b?
b
Suppose 0 = -4*m + 4*d - 4, -m + 2*d = 4*m - 10. Let z = 0.8 + -1. Let x = 55.2 + -55. Which is the nearest to -1? (a) m (b) x (c) z
c
Let s = 2386814/3793449 + 210/9097. Let g = 2/139 + s. What is the closest to -1 in -0.4, 5, g?
-0.4
Let t = -3 + 2.71. Let o = -0.09 - t. Let h be 0 - -1 - 45/55. Which is the nearest to 0? (a) 0 (b) h (c) o
a
Let l be -3*((-8)/(-6) + 2). Let v = -0.48 + 0.58. Which is the closest to v? (a) 4 (b) l (c) 5
a
Let k be 10/(-35) - 38/14. Let o be -1*3/45*k. Let z = -4.201 + 0.201. Which is the closest to 2/5? (a) 2/7 (b) z (c) o
a
Let w = -22.2 - -106.2. What is the closest to -1 in 2, 1/3, w, -1/2?
-1/2
Let r = 1.04 + -0.04. Let u = 4460 - 4465. Which is the nearest to 0? (a) r (b) 10 (c) u
a
Let r be ((-4)/20)/((-4)/(-10))*0. Let z = -68.03 + 68. Which is the nearest to 2? (a) 0.2 (b) z (c) r
a
Let q = -0.2 - -0.3. Let h = -9.1455 - -0.1455. Which is the closest to q? (a) 3 (b) -5 (c) h
a
Let h be (18/(-42) - 0) + (-2)/28. What is the nearest to h in -1/2, 3, 1?
-1/2
Let c = -103/4 + 25. Let n be (360/(-27))/(2/(-3)). Suppose -n*y = -9*y. What is the nearest to y in 3, 0.4, c?
0.4
Let t be (-4)/10*(-50)/160. Let i = 8.93 - 9. Which is the nearest to i? (a) -0.3 (b) t (c) 1/7
b
Let c be 1/3*(30/(-9))/(-1). What is the nearest to c in 2, -1, -2?
2
Let o = 6.55 + -7.55. Which is the closest to -1? (a) o (b) 3 (c) 0.9 (d) 2
a
Let q = 741 + -741. Let t = 0.7 - -0.3. Which is the closest to q? (a) -10 (b) 5 (c) t
c
Let v = -158/5 + 23. Let h = v - -44/5. Let t = 0.2 - 0.2. What is the closest to 1 in h, 1, t?
1
Let r = 23 + -23.23. Let j = r + -0.07. Suppose u = -4*u. Which is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
. Give prob of picking 1 p and 2 o.
1/55
What is prob of picking 1 k and 1 h when two letters picked without replacement from {h: 9, k: 1, z: 1, s: 2}?
3/26
Two letters picked without replacement from {q: 3, s: 1}. What is prob of picking 2 q?
1/2
Two letters picked without replacement from nxngnnlvnnvnnnnn. What is prob of picking 1 x and 1 n?
11/120
What is prob of picking 3 f when three letters picked without replacement from ffff?
1
Two letters picked without replacement from {i: 4, l: 6, p: 1, j: 2}. What is prob of picking 1 l and 1 i?
4/13
What is prob of picking 2 i, 1 s, and 1 o when four letters picked without replacement from {o: 2, i: 2, s: 11}?
22/1365
Three letters picked without replacement from {c: 5, h: 2}. Give prob of picking 2 c and 1 h.
4/7
Two letters picked without replacement from ifikifikiiff. What is prob of picking 1 k and 1 i?
2/11
Two letters picked without replacement from zyzwylwzlyzwwyl. What is prob of picking 1 z and 1 l?
4/35
What is prob of picking 1 v and 1 l when two letters picked without replacement from {p: 3, v: 1, e: 4, l: 6}?
6/91
Three letters picked without replacement from {j: 7, t: 3, z: 2}. Give prob of picking 2 j and 1 t.
63/220
Four letters picked without replacement from olfkuuk. Give prob of picking 2 k, 1 u, and 1 f.
2/35
Two letters picked without replacement from inioynk. Give prob of picking 2 i.
1/21
Two letters picked without replacement from djjiwwjvjdcdwwvvc. What is prob of picking 2 d?
3/136
Two letters picked without replacement from lmlmmxll. What is prob of picking 1 m and 1 x?
3/28
What is prob of picking 2 f and 2 u when four letters picked without replacement from affauauuauafa?
18/715
Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, o: 3}.
1/20
Four letters picked without replacement from {j: 3, o: 2, q: 5, m: 3, k: 3}. Give prob of picking 2 k and 2 q.
3/182
Two letters picked without replacement from sffsf. Give prob of picking 1 s and 1 f.
3/5
What is prob of picking 1 s, 1 h, and 1 r when three letters picked without replacement from rhsyysrsrrsohs?
10/91
What is prob of picking 1 h and 1 y when two letters picked without replacement from {t: 2, h: 1, y: 4, o: 2}?
1/9
Three letters picked without replacement from tpchphhhcc. Give prob of picking 2 c and 1 h.
1/10
Two letters picked without replacement from {n: 2, v: 3, y: 1, d: 4, j: 1}. What is prob of picking 1 n and 1 j?
2/55
Calculate prob of picking 2 e when two letters picked without replacement from xbexexbebxcx.
1/22
Calculate prob of picking 2 k and 1 o when three letters picked without replacement from {k: 8, o: 5}.
70/143
Two letters picked without replacement from ezeeeeszewzsseeees. What is prob of picking 2 z?
1/51
What is prob of picking 4 d when four letters picked without replacement from tdddddtt?
1/14
Calculate prob of picking 3 s and 1 b when four letters picked without replacement from bsbssbsbsssbb.
42/143
Calculate prob of picking 1 a, 1 x, and 1 w when three letters picked without replacement from {g: 2, w: 1, t: 1, z: 2, a: 2, x: 4}.
2/55
What is prob of picking 1 k and 3 w when four letters picked without replacement from kwwwkkwwkkkk?
14/99
Three letters picked without replacement from mkejmwwy. What is prob of picking 1 m, 1 j, and 1 w?
1/14
What is prob of picking 1 x and 3 n when four letters picked without replacement from {x: 2, n: 3}?
2/5
What is prob of picking 3 p when three letters picked without replacement from fffppbpfbfpbbff?
4/455
Four letters picked without replacement from {w: 4, m: 3, c: 1, t: 5}. Give prob of picking 4 t.
1/143
Two letters picked without replacement from {f: 1, l: 1, w: 2, s: 1}. What is prob of picking 1 l and 1 f?
1/10
Two letters picked without replacement from {j: 1, i: 2, e: 1, x: 2, g: 1, f: 1}. Give prob of picking 1 f and 1 j.
1/28
What is prob of picking 2 d when two letters picked without replacement from {d: 5}?
1
What is prob of picking 1 a and 3 o when four letters picked without replacement from aoodadqxoah?
1/110
What is prob of picking 1 s, 1 k, and 1 i when three letters picked without replacement from kkisf?
1/5
What is prob of picking 1 e, 1 n, and 1 o when three letters picked without replacement from oreernnrre?
1/20
Three letters picked without replacement from {l: 1, v: 1, j: 13}. What is prob of picking 3 j?
22/35
Calculate prob of picking 2 g and 1 d when three letters picked without replacement from {g: 7, d: 9}.
27/80
Two letters picked without replacement from {n: 1, j: 3, r: 1, o: 3, f: 3}. What is prob of picking 1 n and 1 r?
1/55
What is prob of picking 1 m, 1 k, and 2 r when four letters picked without replacement from {r: 4, m: 4, k: 9}?
54/595
Calculate prob of picking 2 z when two letters picked without replacement from erezjxxfz.
1/36
What is prob of picking 2 t when two letters picked without replacement from {t: 9}?
1
Calculate prob of picking 1 s and 3 z when four letters picked without replacement from {s: 15, z: 3}.
1/204
What is prob of picking 1 q, 1 h, and 1 o when three letters picked without replacement from foorororohrqrm?
5/364
What is prob of picking 1 j and 1 l when two letters picked without replacement from jjccjljjjdcjjcjjdjj?
4/57
Two letters picked without replacement from hrsggln. Give prob of picking 1 h and 1 r.
1/21
Three letters picked without replacement from {h: 5, w: 2, u: 3}. Give prob of picking 3 u.
1/120
Two letters picked without replacement from qfsffqqfsqqsqqqqqq. What is prob of picking 2 q?
55/153
Four letters picked without replacement from {m: 2, j: 1, l: 2, r: 1, v: 1}. What is prob of picking 1 v, 1 j, and 2 m?
1/35
Calculate prob of picking 4 d when four letters picked without replacement from {e: 3, d: 13}.
11/28
Calculate prob of picking 4 s when four letters picked without replacement from {s: 6, w: 12}.
1/204
Calculate prob of picking 1 a and 2 j when three letters picked without replacement from ajoaj.
1/5
Three letters picked without replacement from {j: 7, r: 5, c: 3, n: 4}. Give prob of picking 1 c and 2 n.
6/323
Calculate prob of picking 2 z and 2 o when four letters picked without replacement from zzzozoowooo.
3/11
Two letters picked without replacement from iixqmiiiiiiixjiiqiii. Give prob of picking 1 j and 1 m.
1/190
Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {n: 1, j: 8, z: 7, b: 4}.
4/95
Calculate prob of picking 2 a, 1 f, and 1 r when four letters picked without replacement from fratfaofarraffe.
6/91
Four letters picked without replacement from {c: 2, h: 3, j: 4, l: 2}. Give prob of picking 2 h and 2 l.
1/110
What is prob of picking 1 r and 1 c when two letters picked without replacement from {p: 1, m: 2, c: 1, h: 3,
|
{
"pile_set_name": "DM Mathematics"
}
|
(4*(-4)/8)/2. Let d = 3/2 + p. Factor -2*o**2 + 3*o**3 - 2*o**4 + d*o + 1/2*o**5 + 0.
o*(o - 1)**4/2
Let m = 20 - 18. Suppose 5*a - 5*j = -10, -3*j - m + 8 = 5*a. Factor a + 4/5*i**3 + 2/5*i**2 + 0*i + 2/5*i**4.
2*i**2*(i + 1)**2/5
Find a, given that 5*a + 10/3 + 5/3*a**2 = 0.
-2, -1
Find n, given that -4/17*n + 6/17*n**2 + 0 = 0.
0, 2/3
Solve 0*h + 5/2*h**2 - 45/4*h**3 + 0 + 5*h**4 = 0.
0, 1/4, 2
Let x = 4 + -10. Let u be x/(-4)*32/24. Factor 0 + 1/4*i + 1/4*i**u.
i*(i + 1)/4
Let j = 217/65 - 7/13. Determine s so that -j*s**5 + 12/5*s**3 - 11/5*s**4 + 11/5*s**2 + 0 + 2/5*s = 0.
-1, -1/2, -2/7, 0, 1
Let i(r) be the first derivative of -r**6/3 - 16*r**5/5 - 25*r**4/2 - 76*r**3/3 - 28*r**2 - 16*r - 14. Factor i(y).
-2*(y + 1)**2*(y + 2)**3
Suppose -g - 14 = -4*a + g, -9 = -3*a + g. Let 30*h - 26*h**2 - a*h**4 - 8 + 12*h**3 - 11*h + 5*h = 0. Calculate h.
1, 2
Factor 9 + 3/2*x**2 - 15/2*x.
3*(x - 3)*(x - 2)/2
Let w(b) be the third derivative of -2*b**7/315 + b**5/15 - b**4/9 + 28*b**2. Factor w(q).
-4*q*(q - 1)**2*(q + 2)/3
Let u(b) be the third derivative of b**6/360 - b**5/60 + b**4/36 + 55*b**2 + b. Factor u(h).
h*(h - 2)*(h - 1)/3
Let s(j) be the second derivative of -j**7/840 + j**6/240 - j**4/4 - 7*j. Let t(u) be the third derivative of s(u). Factor t(w).
-3*w*(w - 1)
Let r = -129 + 131. Factor 0*x + 0 - 1/2*x**5 - 2*x**r + 3/2*x**4 + 0*x**3.
-x**2*(x - 2)**2*(x + 1)/2
Let u(n) be the first derivative of -5*n**4/4 - 8*n**3/3 - n**2/2 + 2*n - 15. Determine k, given that u(k) = 0.
-1, 2/5
Let q be (-26)/8 + 20/5. Let -3/4*f + 0 + q*f**3 + 0*f**2 = 0. Calculate f.
-1, 0, 1
Let p(t) be the third derivative of -t**8/6720 + t**7/2520 + t**4/6 + 4*t**2. Let j(f) be the second derivative of p(f). Factor j(x).
-x**2*(x - 1)
Let o = -13 - -10. Let c(s) = -3*s**4 + 15*s**3 - 36*s**2 + 39*s - 12. Let v(x) = -x**3 + x**2 + x. Let d(m) = o*v(m) + c(m). Factor d(u).
-3*(u - 2)**2*(u - 1)**2
Let r(a) be the second derivative of -a**7/56 + 3*a**6/20 - 9*a**5/20 + 5*a**4/8 - 3*a**3/8 + 9*a. Factor r(c).
-3*c*(c - 3)*(c - 1)**3/4
Let x = -30/11 + 984/385. Let u = 4/35 - x. Determine g so that -8/7 - u*g**2 - 8/7*g = 0.
-2
Factor 2/5*a**5 + 4/5*a**4 + 0*a**2 + 0*a + 0 + 2/5*a**3.
2*a**3*(a + 1)**2/5
Suppose 3*z = 3*n + 39, 5*z - 19 = n + 66. Let x = 21 - z. Let 0*u + 4/7*u**2 + 0 + 2/7*u**x = 0. What is u?
-2, 0
Let t(l) be the first derivative of -l**6/30 + l**5/10 - l**3/3 + l**2/2 + 2*l + 4. Let s(r) be the first derivative of t(r). Factor s(u).
-(u - 1)**3*(u + 1)
Let x = -3 + 4. Let u be x/(-4)*(-48)/18. Let 0 - u*j + 4*j**4 + 4*j**2 - 22/3*j**3 = 0. Calculate j.
0, 1/3, 1/2, 1
Find a, given that -2/13*a - 4/13*a**3 - 8/13*a**2 + 6/13*a**5 + 8/13*a**4 + 0 = 0.
-1, -1/3, 0, 1
Suppose -3*r - 5 = -2*c - 1, -4*r - 3*c + 6 = 0. Suppose -2*y - 19 + 29 = r. Determine h, given that 0*h + 11/3*h**4 - 8/3*h**3 + 0 - h**y - 4/3*h**2 = 0.
-1/3, 0, 2
Let j(n) be the third derivative of 8*n**6/3 - 4*n**5 + 5*n**4/2 - 5*n**3/6 + 5*n**2. Factor j(t).
5*(4*t - 1)**3
Suppose 0 = -5*o + 9 + 6. Suppose 0*n = -2*n. Factor -9/4*x**4 - 7/4*x**2 + 15/4*x**o + n + 1/4*x.
-x*(x - 1)*(3*x - 1)**2/4
Let h be -26*(-2)/(-60) - -1. Let c(p) be the third derivative of 2/75*p**5 + h*p**3 + 0*p - 1/12*p**4 + 2*p**2 + 0 - 1/300*p**6. Factor c(o).
-2*(o - 2)*(o - 1)**2/5
Let c(t) be the third derivative of -1/30*t**5 + 4*t**2 + 2/27*t**3 - 1/108*t**4 + 0 + 13/540*t**6 + 0*t - 1/189*t**7. Let c(z) = 0. What is z?
-2/5, 1
Determine p, given that 1/9*p**3 - 2/9*p**2 - 1/3*p + 0 = 0.
-1, 0, 3
Let c(v) be the third derivative of -v**8/336 + 4*v**7/105 - 11*v**6/60 + 7*v**5/15 - 17*v**4/24 + 2*v**3/3 - 23*v**2. Find o such that c(o) = 0.
1, 4
Solve 8/5*i + 1/5*i**2 + 16/5 = 0 for i.
-4
Let h(l) = -l**3 + l**2 - l + 1. Let j(c) = -16*c**3
|
{
"pile_set_name": "DM Mathematics"
}
|
ending order.
0, 5, 23
Put 3, 4, 9, -2 in descending order.
9, 4, 3, -2
Put 5, 2/5, 0.2, 1/15, -5 in decreasing order.
5, 2/5, 0.2, 1/15, -5
Put 4, 5, -8, 2, -1 in ascending order.
-8, -1, 2, 4, 5
Sort 1, -1, 210.
-1, 1, 210
Sort -0.4, 15, -29, -1/3 in increasing order.
-29, -0.4, -1/3, 15
Sort 6/7, -0.4, -0.1, -2/9 in descending order.
6/7, -0.1, -2/9, -0.4
Put 3, -1, 7, -3 in increasing order.
-3, -1, 3, 7
Sort 0.3, 1.2, 0.5, -1/3, 1.3 in increasing order.
-1/3, 0.3, 0.5, 1.2, 1.3
Sort 5, 0.4, 4, 19 in increasing order.
0.4, 4, 5, 19
Put -1, -53, 36, 3 in descending order.
36, 3, -1, -53
Put 79, -3, 1/3 in descending order.
79, 1/3, -3
Put -15, -3, 28, -4 in decreasing order.
28, -3, -4, -15
Sort 2, -5, -26, -3, 0 in descending order.
2, 0, -3, -5, -26
Put -4, -5, 3, 2, 0 in ascending order.
-5, -4, 0, 2, 3
Sort 213, -0.01, -1, 0 in increasing order.
-1, -0.01, 0, 213
Put -5, -4, -2, 163, 4 in descending order.
163, 4, -2, -4, -5
Put 4, -38, -3/8, -2 in increasing order.
-38, -2, -3/8, 4
Sort -57, 6, -4, 4 in decreasing order.
6, 4, -4, -57
Put -3, 3, 2/11, -47 in descending order.
3, 2/11, -3, -47
Put 3, -27, -1, 27 in descending order.
27, 3, -1, -27
Sort -143, -1, 3/2, -2/9, 9/7 in descending order.
3/2, 9/7, -2/9, -1, -143
Sort 0.2, 0.06, 2/7.
0.06, 0.2, 2/7
Put -6, -62, -3, 5 in descending order.
5, -3, -6, -62
Put 257, -3, 6 in ascending order.
-3, 6, 257
Put -44, -3/4, 2/7 in ascending order.
-44, -3/4, 2/7
Put 2, -58, -2 in descending order.
2, -2, -58
Put -1/339, -0.4, -1, -3, 1 in descending order.
1, -1/339, -0.4, -1, -3
Put -17, 18, 3 in decreasing order.
18, 3, -17
Sort -5, 4, -91, -4.
-91, -5, -4, 4
Sort -2/57, 3, -2 in decreasing order.
3, -2/57, -2
Sort -2, -18, 1.
-18, -2, 1
Put 29, -3, -4, 0 in increasing order.
-4, -3, 0, 29
Sort 2/7, 1, -7.
-7, 2/7, 1
Sort 80, -2, -36 in descending order.
80, -2, -36
Put -3, 1, 8 in decreasing order.
8, 1, -3
Sort 3, -1, -19 in decreasing order.
3, -1, -19
Put -3, 10/33, 2 in increasing order.
-3, 10/33, 2
Put 0, -1, -2/31, -5 in decreasing order.
0, -2/31, -1, -5
Sort -1/11, 2/9, -1/4, 2, 0.3 in descending order.
2, 0.3, 2/9, -1/11, -1/4
Sort -8, 1, -28, -0.4 in decreasing order.
1, -0.4, -8, -28
Sort -42, 0.1, -72.
-72, -42, 0.1
Sort -3, 4, -4, 2/33 in ascending order.
-4, -3, 2/33, 4
Sort 4, -5, -0.4, 215, 2/9 in descending order.
215, 4, 2/9, -0.4, -5
Sort 145/3, 5, -5 in increasing order.
-5, 5, 145/3
Put 5, -18, -2 in descending order.
5, -2, -18
Put -116, 2, -1, -4 in increasing order.
-116, -4, -1, 2
Sort 3, -7, 1, -3 in ascending order.
-7, -3, 1, 3
Sort -1, 4, 0.4, 17, -19 in decreasing order.
17, 4, 0.4, -1, -19
Put 5, 6, 4, -4 in ascending order.
-4, 4, 5, 6
Sort 2, -60, 3/4 in descending order.
2, 3/4, -60
Put -9, 4, 214, 3 in decreasing order.
214, 4, 3, -9
Sort 4, 5, -110, -2.
-110, -2, 4, 5
Put -4, 41, -2, 3 in ascending order.
-4, -2, 3, 41
Sort 1/6, 2, -5/3.
-5/3, 1/6, 2
Sort 5, 0.16, -1, 131 in ascending order.
-1, 0.16, 5, 131
Sort 1/2, 5, 21, 0.1 in decreasing order.
21, 5, 1/2, 0.1
Sort -0.03, 3/25, 4 in ascending order.
-0.03, 3/25, 4
Sort 94, 7, -1, 5.
-1, 5, 7, 94
Sort 11, 13, -3 in ascending order.
-3, 11, 13
Sort 0, -138, 5, 4, -1.
-138, -1, 0, 4, 5
Put -5, 4, 8 in increasing order.
-5, 4, 8
Sort -2, -1/7, 0.
-2, -1/7, 0
Put -0.4, -5, 1324 in ascending order.
-5, -0.4, 1324
Sort -7/3, -4, 0.5, 1/5, -42 in ascending order.
-42, -4, -7/3, 1/5, 0.5
Put 5, 4, -53 in descending order.
5, 4, -53
Sort 3, -1/40, -3 in descending order.
3, -1/40, -3
Sort 3, 5, -3, 41, 1 in decreasing order.
41, 5, 3, 1, -3
Put -5, 58, -3 in increasing order.
-5, -3, 58
Sort 0, -18, -1 in descending order.
0, -1, -18
Put 0, 38, 3 in decreasing order.
38, 3, 0
Sort 2, 0, 5, -39 in descending order.
5, 2, 0, -39
Sort 4, 242, 3 in decreasing order.
242, 4, 3
Sort 2, 1, 291, 0.
0, 1, 2, 291
Put 0.6, 7, 1/5, 0.5 in descending order.
7, 0.6, 0.5, 1/5
Sort 98, 1, -38 in increasing order.
-38, 1, 98
Put 0.082, -4, -3/4 in ascending order.
-4, -3/4, 0.082
Put -1, 5, -16, -11 in decreasing order.
5, -1, -11, -16
Put 2, 1, -6 in decreasing order.
|
{
"pile_set_name": "DM Mathematics"
}
|
- 14. Let y = i - 21.7. Which is the third biggest value? (a) 5 (b) -1/3 (c) y
b
Let v = -4 + 5. Let k = -6 + 5. Which is the biggest value? (a) v (b) k (c) -0.1
a
Let b = 8.9 + -9. Let f be (-212)/105 - (-4)/10. Let s = -9/7 - f. What is the smallest value in -5/2, s, b?
-5/2
Let d = 0.14 + 1.26. What is the biggest value in -1/4, d, 1?
d
Let z = -200/9 + 22. Which is the second biggest value? (a) -1/6 (b) -0.2 (c) z
b
Let q be (3/(-20))/((-1)/4). Let t = -1.1 + 1.3. What is the third smallest value in -3, t, q?
q
Let u = -0.16 - -0.66. What is the smallest value in u, -1/2, -0.1?
-1/2
Let q = -76/9 + 74/9. Which is the biggest value? (a) -3 (b) 4/9 (c) q
b
Let v(q) = -7*q + 13. Let k(y) = 3*y - 6. Let g = 5 + 0. Let w(d) = g*k(d) + 2*v(d). Let s be w(5). What is the second smallest value in s, 3, -1?
s
Suppose 0*r = -2*r + 10. Let i = 8 + -3. Let s = i - 7. What is the second biggest value in r, -1, s?
-1
Let n = 0.036 - 0.536. Which is the second smallest value? (a) n (b) 4 (c) -0.2 (d) 5
c
Let o = -98 + 99. What is the second smallest value in -0.1, 4, o, 0.5?
0.5
Let u(j) = j**2 + j + 1. Let y be u(0). Let n = -1 - y. Which is the second smallest value? (a) 0.2 (b) n (c) 2
a
Let a = -2 + 3. Suppose -4*l = 5*c + 48, 2*c - 2*l + 12 = -0*l. What is the smallest value in a, c, -2/5?
c
Let r(h) = -2*h**2 + 14*h + 12. Let z be r(-10). Let p = z + 2621/8. Let d = 0 + 0.5. Which is the second smallest value? (a) p (b) -1 (c) d
a
Let h = -0.17 + 8.17. Let p = -12 + h. Which is the second biggest value? (a) p (b) 0.5 (c) -1
c
Let p be ((-3)/(-2))/(14 + -2). What is the second smallest value in -2/19, -5/2, p?
-2/19
Let o be 45/75 + (-28)/30. What is the smallest value in o, -1/2, 11?
-1/2
Let l = 306/11 + -5836/209. Let m = -0.04 - -0.44. Let k be (-2 + (-6)/(-5))*-1. Which is the second smallest value? (a) l (b) m (c) k
b
Let g be ((-105)/(-20))/((-3)/(-8)). Suppose -g = 6*x + 4. What is the second biggest value in -1, -2/19, x?
-1
Let p = 9.23 - 10. Let s = p - -0.07. Let v = s - -4.7. Which is the second biggest value? (a) v (b) 1 (c) 3
c
Let y(w) = -3*w + 4. Let p be y(2). Which is the third biggest value? (a) 1.8 (b) p (c) -1/3
b
Let y = 3.004 - -0.036. Let s = y - 0.04. Which is the second biggest value? (a) -1 (b) -2/7 (c) s
b
Let v = -16.5 + 16. What is the third smallest value in 3/4, -1, v?
3/4
Let m = -0.03 - 2.97. Let o = -19 + 21. What is the third smallest value in 3, m, o?
3
Let r be 13/(-3) + (3 - 2)/3. Let x = 0.4 + 0.1. Which is the third smallest value? (a) x (b) r (c) 1
c
Let g = -97/4 - -473/20. What is the third smallest value in g, -0.2, 0?
0
Let z = 0.4 - 0.6. Let y = -6.6 + 6. Let d = y + 0.2. Which is the second smallest value? (a) d (b) 2 (c) z
c
Let k = 69.04 + -67. Let l = 0.04 - k. Let t = 5 + -5.3. Which is the third biggest value? (a) -0.2 (b) t (c) l
c
Let p = 409 - 412.86. Let r = -0.14 + p. Which is the third biggest value? (a) 3 (b) 5 (c) r
c
Let g be 2/(-6)*(-3)/(-7). Let t = 5 + -4.6. Let r = 0.4 - t. Which is the second biggest value? (a) g (b) -2 (c) r
a
Let m = -0.5 + 2. Let z = m - 0.5. Let p = -9 + 13. What is the third smallest value in z, -2, p?
p
Let n = -2.8 + 0.8. Which is the third smallest value? (a) -1/7 (b) n (c) 2
c
Let n be ((-8)/90)/((-4)/10). Let v = 1.05 - 0.05. Let k = v + -1. Which is the second biggest value? (a) k (b) n (c) -4
a
Let v = -19 + 19. What is the fourth biggest value in -0.1, 1, v, 3?
-0.1
Let h = -39 - -116/3. Which is the biggest value? (a) -1/2 (b) 12 (c) h
b
Let l be 31/42 + 4/(-24). What is the biggest value in l, -0.5, -2?
l
Let y = -1 + -2. Let u be y*((-12)/15)/(-4). Which is the third smallest value? (a) 3/2 (b) u (c) 0.5
a
Let w be 7/(-8) - (-1 + 0). Which is the third biggest value? (a) -2 (b) w (c) -2/3
a
Let x = -0.3 + 0. Let r be (3 + 5/(-2))*2. What is the biggest value in 3, x, r?
3
Suppose -5*q + 2 = -8. Suppose 4*b + q = -2. What is the second smallest value in 4, 1/4, b?
1/4
Let x be 35/15 - (-6)/9. Which is the second biggest value? (a) -3 (b) -2 (c) x
b
Let n = 0.55 + -2.59. Let m = -0.04 - n. Let r = -65 + 197/3. Which is the third smallest value? (a) r (b) 5/2 (c) m
b
Let j = 10 + -12. What is the smallest value in 0, -0.1, -10/7, j?
j
Let k be 2/(-10) - (-6)/5. Suppose -k + 4 = -i. Let o(n) = -2*n - 15. Let m be o(-5). Which is the third biggest value? (a) i (b) m (c) 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 2*g = 5*l + 350, -2*l = l - 3*g + 210. Let r be ((-56)/l)/((-1)/(-10)). Solve 5*c + r = 3 for c.
-1
Let f(v) = -v**2 + v + 2. Let h be f(5). Let d be (0 - h/(-2))*-1. Let z = -81 + 83. Solve -z*n - d = -1 for n.
-4
Suppose 0*h = h - w - 16, -18 = -2*h - 5*w. Solve 7*v - h + 35 = 0 for v.
-3
Let b(u) = -u**3 + 2*u**2 + 5*u - 2. Let v be b(2). Let k be 20/v + 1/2. Suppose 0 = -2*t + k*t - 16. Solve -3*w - w - t = 0 for w.
-4
Let k be 1674/(-124)*8/(-6). Solve 0 = -4*u - 6 + k for u.
3
Let v(w) = w**3 + 14*w**2 + w + 29. Let k(f) = -f**3 - 14*f**2 - f - 30. Let l(n) = 3*k(n) + 4*v(n). Let t be l(-14). Solve -2*c + 6*c = -t for c.
-3
Let h(g) = g**2 + 2*g - 6. Let c be h(-4). Suppose -2*a = -28 + 4. Suppose -2*v = 3*o + o - a, -18 = -3*o + 3*v. Solve -r + c*r - o = 0 for r.
4
Let k(a) = a**3 + 25*a**2 - 3*a - 71. Let f be k(-25). Let y = -19 - -47. Suppose y = x + 3*x. Solve -13 = -f*j + x for j.
5
Let w(x) = -x**2 + 5*x + 19. Let v be w(7). Solve 0 = -v*f - 5*f + 50 for f.
5
Suppose -2*f - 3*o + 32 = -7*o, -f + 22 = 4*o. Suppose -5 = k, 1 = 4*a - 3*k - 26. Suppose -l - a*j - f = j, 0 = -2*l + 2*j + 14. Solve 6*v = l*v for v.
0
Let z = -44 - -59. Suppose 3*i = z + 9. Solve -i*y + 3*y = -5 for y.
1
Suppose -5*v - 28 = 3*s - 2*s, 4*s + 16 = -4*v. Let m = v + 8. Solve -2*d - 6 = -m for d.
-2
Let q = 18 + -6. Let g(r) = -r**3 - 6*r**2 + 9*r + 3. Let u be g(-7). Let n = q + u. Solve 3*f - n = -16 for f.
-5
Let p = -2767 + 2767. Let y(r) = -r**2 + 4*r + 2. Suppose 0*f - 4 = 4*f - 4*w, -f - 4*w + 24 = 0. Let d be y(f). Solve p = d*m - 5*m for m.
0
Let h = -93 + 101. Suppose -m + h = m. Solve -m*f + 1 = -5*f for f.
-1
Suppose -9 = -5*l + 6. Suppose 14 = 2*g - 2*f, -2*g - 15 = l*g + 5*f. Solve -2*r = g*r + 16 for r.
-4
Suppose -x - x = 3*v - 37, -3*v - 5*x + 43 = 0. Let u be (-1 + 1)*11/v. Suppose u*q = 2*q. Solve 6*b - b = q for b.
0
Suppose -32*x = -5*n - 33*x + 1, 5*n + 3*x - 3 = 0. Solve 5*j - j + 4 = n for j.
-1
Suppose -6*m + m = 35. Let r(n) = -n**2 - 13*n - 7. Let s be r(m). Let k be (-6)/5*s/(-14). Solve -3 = k*p + 6 for p.
-3
Suppose -3*g + 2 + 7 = 0. Suppose -4*w - 3*k - 1 = -4*k, 3*k = 4*w + g. Solve 0 = 4*r - w*r - 12 for r.
3
Let f(v) = -v**3 - 13*v**2 - 37*v + 2. Let k be f(-9). Solve -c + 9 = k for c.
-2
Let r(p) = -p**2 - 9*p + 27. Let g be r(-11). Let t be 8/3 + 2/(-3). Suppose -27 = -3*b - 3*m, 2*m = 6 + t. Solve 5*o = g + b for o.
2
Let b(z) = -21*z**3 - 2*z**2 - 2*z - 1. Let u be b(-1). Suppose 2*s = s - 3*p + u, -3*s = -p - 10. Solve -s*g - 2 + 7 = 0 for g.
1
Let r = 117 - 105. Solve -r = -4*h + 8 for h.
5
Let d(f) be the second derivative of -f**5/20 + f**4/2 + f**3 + 4*f**2 - 23*f. Let q be d(7). Solve -3 = -2*b + q for b.
2
Let y = 71 - 58. Let k = 15 - y. Solve -q = k*q - 12 for q.
4
Suppose -6*s = s + 735. Let c = s + 105. Solve c*b - 4 = 2*b for b.
-2
Let u(q) = -q**3 + 19*q**2 - 35*q + 25. Let f be u(17). Suppose -f*m = -87 - 65. Solve 3 - m = -4*v for v.
4
Let g(n) = -n**2 + 13*n - 34. Let r be ((5 - 0) + -4)/(2/14). Let d be g(r). Solve k = 3*k + d for k.
-4
Let v(p) = 2*p - 17. Let a be v(8). Let q be (4 + a)*8/6. Solve m = q*m - 3 for m.
1
Let a = 312 + -302. Solve a*m - 18 = m for m.
2
Let c(y) = -y**3 - 9*y**2 - 18*y + 3. Let h be c(-6). Solve x = 2 - h for x.
-1
Let u be -51*(-4)/12 + 0. Suppose 0 = -3*a + 5*j + 37, 2*j + u = 3*a + j. Solve a*q + 0*q = 16 for q.
4
Suppose 0 = 4*k - 3*h - 10, 18 = 2*k + 2*k + h. Let d = -10 + 2. Let q(u) = -u**3 - 8*u**2 - u - 5. Let o be q(d). Solve 5*v + o = k*v for v.
-3
Let z(u) be the first derivative of 2*u**2 - 19*u + 10. Let c be z(5). Solve -3*g = -c - 2 for g.
1
Let s(t) = t**3 - 51*t**2 - 103*t - 155. Let b be s(53). Let x = -10 - -25. Solve b*a = a - x for a.
-5
Let k = -222 + 240. Solve 2 + k = 10*r for r.
2
Let c(k) = -k**3 + 8*k**2 + k - 3. Let f be c(8). Suppose 0 = -4*v - 5*g + 6, 4*v + g = f*g + 24. Solve -v*u + 0 = 12 for u.
-3
Let o(h) = h + 169 - 169. Let f be o(9). Solve -2*k - f = -3
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 77795. Determine n(-272).
3
Let o(i) = -i**2 - 280*i - 17833. Determine o(-98).
3
Let h(w) = 3*w**3 - 45*w**2 - 21*w + 81. What is h(4)?
-531
Let s(c) = 107471*c - 214884. Calculate s(2).
58
Let q(r) = 196*r - 5864. Determine q(20).
-1944
Let d(b) = -b**2 - 151*b - 5618. Calculate d(-72).
70
Let a(s) = -s**3 - 6*s**2 - 31*s - 35. Determine a(-7).
231
Let m(w) = -66*w + 3913. Calculate m(62).
-179
Let b(r) = r**2 + 326*r + 7944. Give b(-24).
696
Let u(a) = -a**2 + 2099*a - 175044. What is u(87)?
0
Let p(a) = -124929*a - 249848. Calculate p(-2).
10
Let c(n) = 41*n**2 - 290*n + 16. What is c(7)?
-5
Let s(h) = -7*h**3 + 766*h**2 + 442*h - 230. Calculate s(110).
-10
Let w(l) = l**3 - 633*l**2 - 19111*l - 57604. What is w(662)?
-10
Let z(h) = 5*h**3 - 61*h**2 - 104*h + 1405. Calculate z(12).
13
Let m(r) = -6*r**2 - 1850*r - 72430. Determine m(-46).
-26
Let x(i) = -532975*i + 22917929. Determine x(43).
4
Let o(d) = d**3 + 34*d**2 + 400*d + 6303. Give o(-28).
-193
Let r(o) = -148287*o + 1482841. Calculate r(10).
-29
Let y(d) = 3*d**2 + 66*d - 7723. Calculate y(-63).
26
Let t(n) = 16*n**3 + 50*n**2 - 669*n - 2028. Calculate t(-3).
-3
Let k(j) = j**3 + 31*j**2 + 68*j - 355. What is k(-30)?
-1495
Let u(y) = 20*y**3 - 2265*y**2 + 555*y + 1104. Determine u(113).
-26
Let o(m) = 10*m**2 - 5004*m + 19855. Determine o(4).
-1
Let b(w) = -w**3 + 61*w**2 + 43*w - 7501. Give b(59).
1998
Let b(y) = y**3 - 68*y**2 + 117*y + 1189. Calculate b(66).
199
Let k(o) = 427*o + 18518. Determine k(-47).
-1551
Let b(x) = 4*x**3 + 49*x**2 + 208*x + 2877. Calculate b(-14).
-1407
Let j(u) = -u**3 + 912*u**2 - 17855*u - 5. Determine j(20).
-305
Let o(t) = -t**2 + 381*t + 2731. Calculate o(-7).
15
Let r(f) = -7544*f + 301624. Calculate r(40).
-136
Let m(o) = -1535*o + 1461. Give m(1).
-74
Let q(n) = -n**3 + 196*n**2 - 217*n + 4289. Determine q(195).
-1
Let x(m) = 565*m**2 - 39549*m - 67. Give x(70).
3
Let y(l) = -15*l**2 + 4687*l - 263379. Give y(239).
-1
Let w(q) = q**3 + 6*q**2 - 15159*q + 4652. Determine w(120).
-28
Let r(m) = 3471*m - 1919467. Calculate r(553).
-4
Let u(v) = 1699*v + 348696. Give u(-205).
401
Let c(r) = 3047*r + 338198. Determine c(-111).
-19
Let z(i) = 119*i + 2328. Determine z(-24).
-528
Let v(h) = -16*h**2 + 18*h - 63. Determine v(-9).
-1521
Let y(c) = 3*c**3 - 82*c**2 - 64*c - 359. Give y(28).
-583
Let w(b) = 2525*b + 494891. What is w(-196)?
-9
Let r(n) = -9*n**2 + 533*n - 3411. Calculate r(52).
-31
Let l(k) = -4*k**2 - 421*k - 1658. Give l(-4).
-38
Let t(g) = -g**3 - 9*g**2 + 112*g - 207. Give t(-19).
1275
Let c(o) = 98*o - 237. Determine c(-16).
-1805
Let n(z) = -6*z**3 - 45*z**2 - 17*z + 15. Determine n(-5).
-275
Let z(l) = -l**3 - 78*l**2 - 711*l + 227. Calculate z(-11).
-59
Let g(x) = 20*x**3 - 7*x**2 + 41*x - 34. Calculate g(1).
20
Let f(h) = -2*h**2 + 14027*h - 7192530. Determine f(557).
11
Let h(k) = k**3 - 117*k**2 - 7710*k + 421. What is h(164)?
93
Let v(u) = -u**3 + 253*u**2 + 743*u + 6377. Determine v(256).
-23
Let r(h) = -3*h**2 - 46*h + 7647. Calculate r(-76).
-6185
Let v(j) = 5430*j - 59284. Determine v(11).
446
Let s(p) = p**3 + 68*p**2 + 816*p + 55483. Calculate s(-68).
-5
Let f(s) = -2*s**2 + 846*s - 28551. Determine f(37).
13
Let y(h) = -4962*h - 253037. What is y(-51)?
25
Let k(v) = 2271*v + 6673. Determine k(-3).
-140
Let j(x) = x**3 + 41*x**2 - 156*x - 3014. Calculate j(-43).
-4
Let u(n) = 2073*n + 101388. Calculate u(-49).
-189
Let r(l) = 6*l**3 + 183*l**2 - 147*l - 36. Give r(1).
6
Let s(h) = 2*h**3 + 36*h**2 + 17*h - 10. Give s(-18).
-316
Let u(i) = 2*i**3 + 36*i**2 + 98*i + 830. Give u(-17).
-258
Let k(q) = 2*q**2 - 249*q + 5420. Determine k(80).
-1700
Let l(i) = -108724*i - 326177. Give l(-3).
-5
Let p(k) = 5180*k - 202169. Calculate p(39).
-149
Let w(d) = -4*d**2 + 52061*d + 520990. What is w(-10)?
-20
Let c(w) = -2*w**3 - 20*w**2 - 227*w - 1930. Calculate c(-9).
-49
Let k(m) = 2*m**2 + 140*m - 19191. Give k(-139).
-9
Let x(j) = j**3 + 5*j**2 + 6510*j - 59733. Give x(9).
-9
Let y(x) = 343*x
|
{
"pile_set_name": "DM Mathematics"
}
|
ch is the third biggest value? (a) y (b) 0 (c) z
c
Let i = 7.3 + -7. Let g = -0.8 + i. What is the second smallest value in g, 2/9, -1?
g
Let q be (9/(-8))/((-6)/(-4)). Which is the third smallest value? (a) q (b) -2 (c) -6
a
Let y = -38/9 + 400/99. Let u = 3 - 6. Which is the third smallest value? (a) y (b) 0 (c) u
b
Let g be (((-184)/96)/23)/((-2)/6). What is the second smallest value in 0, g, 0.3?
g
Let a be (5/(-2))/((-2)/4). Suppose 2*z + 2*v = -2*z + 8, 10 = a*z + 3*v. Let l be (-4)/6 - (z + -1). What is the third biggest value in -3/5, 0.2, l?
l
Let a be -5 + 4 - (2 + 1). Let b be 2 + 6/(-4) - 0. What is the smallest value in -3, b, a?
a
Let k = 48.88 - -0.12. Let u = k + -53.1. Let f = u + -0.9. Which is the second biggest value? (a) -2/3 (b) 1/4 (c) f
a
Let s = -37 - -39. Let x be (0 - -1)/((-2)/4). Let p = s + x. Which is the biggest value? (a) -4 (b) -5 (c) p
c
Let t = 12 + -8. Let y = -2.639 + -0.371. Let l = 0.01 + y. What is the third smallest value in t, l, 1/7?
t
Suppose 0 = -g + 9*v - 5*v + 18, -2*g + 4*v = -28. Let f = 10 + -5. What is the biggest value in -0.1, g, f?
g
Let n(q) = q + 1. Let x be n(-2). Let j be 730/(-14) + -2 + 2. Let o = j + 52. Which is the second smallest value? (a) x (b) o (c) -2/5
c
Let m(f) = f - 8. Let n be m(10). Suppose 0 = 2*k - 0 + n. Which is the third biggest value? (a) -4 (b) -0.1 (c) k
a
Let v = -24.25 + 21. Let k = 0.25 + v. What is the second smallest value in -2/3, k, -0.3?
-2/3
Let u(l) = l + 11. Let i be u(-9). Let s be 1*3 - (-3 + i). Let f = -0.2 + -0.1. What is the second biggest value in f, 0.3, s?
0.3
Let z = 0.95 + -1. Let t = 3.05 + z. Which is the third biggest value? (a) t (b) -3 (c) 0.3
b
Let s = -5.1 - -0.1. Let j = 6 - 5.5. What is the second biggest value in s, -2/7, j?
-2/7
Let u be ((-9)/(-6))/((-2)/(-4)). Suppose -26 = u*b + 4*w, -w + 3*w + 20 = -5*b. What is the third smallest value in b, 2/13, -2/31?
2/13
Let u(o) = -o**3 - 6*o**2 + 8*o + 3. Let l be u(-7). Which is the third smallest value? (a) 7 (b) l (c) 0.4
a
Let r = -1/30 + 9/70. What is the smallest value in -1/7, r, 0?
-1/7
Let w = 88 + -86.6. Which is the fourth biggest value? (a) -1/2 (b) -2/7 (c) 0.5 (d) w
a
Let k = -127.6 - -128. What is the third biggest value in -1/4, -4, k?
-4
Let f = -0.16 - -0.16. What is the second biggest value in -2, 2, f?
f
Let y = 33 + -30. Which is the second biggest value? (a) y (b) -3 (c) -0.1 (d) -5/3
c
Suppose 0 = -4*p - 394 + 398. Which is the second smallest value? (a) p (b) 3 (c) 18
b
Let t = -0.1 - -3.1. Which is the biggest value? (a) -3 (b) -0.3 (c) t
c
Suppose 3*r = -5*a - 3 + 2, 7 = a - 3*r. Let k = -5/4 + a. Let v be 31/18 + 4/(-18). What is the smallest value in v, k, 2/3?
k
Let g be (-16)/100*(-15)/(-18). Which is the second biggest value? (a) g (b) 0.4 (c) -3
a
Suppose -2*i + 2 = -i - 3*p, -p + 2 = -3*i. Let o be ((-2)/18)/(i/2). Let r be (3/4)/(1/(-8)) + 3. Which is the second biggest value? (a) r (b) 0 (c) o
b
Let z = -0.1 - 0.1. Suppose 4*d - w - 21 = 0, -4*d + 2 = w - 9. What is the biggest value in z, d, 5?
5
Let o = -1.07 + 4.07. What is the smallest value in 4, -0.03, o, -5?
-5
Let m = -73/3 + 101/3. Let n = m + -9. Let l = -0.1 + 0. Which is the third biggest value? (a) l (b) n (c) 0.5
a
Suppose -4*g = 32 - 8. Let l = 7 + g. Suppose 2*w + 5 = -r, 0*w + 15 = r - 3*w. What is the second smallest value in -1, r, l?
l
Let t = -19979/12 + 6337/4. Let x = t - -80. Which is the smallest value? (a) 0 (b) 0.2 (c) x
c
Let i = -2 + 2.3. Let b = -2.3 - 2.7. What is the second biggest value in i, b, 1/5?
1/5
Suppose -5*p - 4*t = -0*t + 5, 3*t + 2 = -2*p. Let y be (2/(-6) - 0)/p. Let z = -0.1 - 0.1. Which is the biggest value? (a) 0.2 (b) z (c) y
c
Let j = 5.2 + -4.7. Which is the second smallest value? (a) j (b) 0.4 (c) -0.04
b
Let l = -18 + 5. Let i = l + 18. Let g be (-20)/(-6) - (-2)/(-6). Which is the third smallest value? (a) g (b) i (c) 2/3
b
Let x be (-2 - -1) + 14/12. Suppose -5*m + 18 = u, -3*u + 4*m - 20 = 2. Let o be (0 - -1)*(2 + u). What is the smallest value in x, o, -3?
-3
Let f = -0.17 + 0.01. Let h = f - -0.46. What is the third biggest value in -2/13, h, 1?
-2/13
Suppose -3*z = -12, -3*u + 3 = 3*z - 9. Let y = -3 - u. Which is the second biggest value? (a) y (b) -0.1 (c) -2
c
Let u be (1 - -2) + (-504)/147. Let y = -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4. Let z(d) = -7 + 6*d**3 + d**3 - 9*d + 2*d**3. What is p*z(m) - 7*v(m)?
-m**3 + m
Let p(h) = -6*h**2. Let o(a) = -a**2. Calculate -36*o(t) + 4*p(t).
12*t**2
Suppose -4*w + 19 = 3. Let l(s) = -2*s**3 + 2*s**2 - 3*s - 3. Let d(h) = 2*h**3 - 3*h**2 + 4*h + 4. Calculate w*l(b) + 3*d(b).
-2*b**3 - b**2
Let v(t) = t - 1 - t - t + 0. Let j(f) = -4*f - 4. Let h(y) = j(y) - 3*v(y). Let z(g) = -3*g - 4. Calculate 4*h(o) - z(o).
-o
Let m(d) = -1. Let v be 8/10*70/(-4). Suppose j = -4 + 6. Suppose -5*t = -8 - j. Let x(r) = -r**2 - 8. What is t*x(a) + v*m(a)?
-2*a**2 - 2
Let q = -14 - -17. Suppose -2*x + 5 - q = 0. Let l be (-6)/(-3) + 0/(-1). Let n(v) = 1. Let y(z) = z**3 - z**2. Determine l*y(p) + x*n(p).
2*p**3 - 2*p**2 + 1
Let q(z) = 6*z**3 - 7*z**2 + 4*z + 3. Suppose -2*g = -5 + 1. Let h(w) = 2*w**3 - 2*w**2 + w + 1. Let u be (-3)/3*10 + 3. What is g*q(m) + u*h(m)?
-2*m**3 + m - 1
Let s(o) = -2 + 4 - 1. Let h(u) = u - 5. Give h(v) + 4*s(v).
v - 1
Let j be (-3 + 13)/((-1)/(-1)). Let v(d) = d + 3. Let x(c) = -2*c - 7. Determine j*v(r) + 4*x(r).
2*r + 2
Let w(r) = -8*r**2 + 6*r - 4. Let m(y) = 9*y**2 - 8*y + 5. Determine 5*m(o) + 6*w(o).
-3*o**2 - 4*o + 1
Let c(t) = 9*t - 8. Let r(i) = -4*i + 4. Calculate 6*c(n) + 13*r(n).
2*n + 4
Let i(x) = 4 + 0 + 2*x**2 + x**2. Let p(z) = 4*z**2 + 5. Let f(v) = -6*v**3 + 2*v**2 + 2*v + 1. Let l be f(-1). Suppose 3*j + l + 8 = 0. Give j*i(o) + 4*p(o).
o**2
Let m(t) = 2*t**3 + 4*t**2 - 4*t + 1. Let d(q) = 2*q**3 + 3*q**2 - 3*q + 1. Calculate -4*d(s) + 3*m(s).
-2*s**3 - 1
Let v(f) = -27*f + 3 + 50*f + 0*f**2 + 5*f**2 - 24*f. Let c(z) = 4*z**2 - z + 2. Calculate -4*c(g) + 3*v(g).
-g**2 + g + 1
Let s(o) = -3*o**3 - o**3 + 2*o + 0*o**3 + 7*o**3. Suppose 3*g = 2 + 4. Let d(a) = a**3 + a**2 + a. Give g*d(n) - s(n).
-n**3 + 2*n**2
Let m(b) = b**2 + 4*b - 1. Let r be m(-2). Let q(k) = 7*k + 4. Let h(l) = 5 + 7*l + 0*l + 3*l - 2*l. Calculate r*h(u) + 6*q(u).
2*u - 1
Let y(p) = -p**2 - p. Let t(n) = 3*n**2 + 6*n + 8. Let m(o) = t(o) + 5*y(o). Let a(k) = 1. Determine 6*a(c) - m(c).
2*c**2 - c - 2
Let d(a) = 2*a**2 - 15*a - 2. Let n(x) = -x**2 - x. Give -d(i) - n(i).
-i**2 + 16*i + 2
Let l(f) be the first derivative of f**2/2 + f - 8. Let m = -4 - -1. Let b(r) = -2*r - 3. Calculate m*b(o) - 8*l(o).
-2*o + 1
Let v(a) = -2*a**2 + 4*a**3 - 7 + 13*a**2 - 4. Let u(f) = -f**3 - 3*f**2 + 3. Calculate -22*u(b) - 6*v(b).
-2*b**3
Let l(a) = a - 1. Let h(v) = 3*v + 4. Determine -h(n) - 4*l(n).
-7*n
Let w(g) = -g**3 + 2*g + 3. Let o(c) = -c**3 - 2*c**2 - c - 4. Let m be o(-3). Let l = m - 5. Let z(v) = 4 - 9 + 1 + 2*v**l - 3*v. Calculate 3*w(y) + 2*z(y).
y**3 + 1
Let i be (-4)/(-3) + (-4)/(-6). Let k(o) = o**3 - 1. Let w(n) = 3*n**3. Let b(s) = -s**3 + s - 1. Let m(g) = 2*b(g) + 2*w(g). Give i*k(j) - m(j).
-2*j**3 - 2*j
Let v(y) = -y - 10. Let a(t) = 12. Let n(h) = 2. Let d(r) = -2*a(r) + 11*n(r). Determine 11*d(f) - 2*v(f).
2*f - 2
Let q(o) = 395*o. Let y(p) = p. Calculate q(x) - 474*y(x).
-79*x
Let h(x) = 3*x**2 - 6*x - 3. Suppose -17 - 3 = -4*m. Let z(g) be the first derivative of -1/3*g**3 + 1/2*g**2 + g + 6. What is m*z(b) + h(b)?
-2*b**2 - b + 2
Let b(d) = -d + 1. Let h(z) = -2*z - 2. What is -2*b(m) - h(m)?
4*m
Let j(s) = -560*s**2. Let z(o) = 51*o**2. Give 6*j(b) + 65*z(b).
-45*b**2
Let s(j) = -j**2 - 12*j + 14. Let g be s(-13). Let o(h) = -h - 2. Let q(z) = 1. Give g*o(b) + 5*q(b).
-b + 3
Let a(r) be the second derivative of -r**3/6 - r**2/2 + 29*r. Let h(y) = 6*y + 6. Determine -4*a(g) - h(g).
-2*g - 2
Let k(u) be the first derivative of 51*u**2
|
{
"pile_set_name": "DM Mathematics"
}
|
39
Calculate the remainder when 528 is divided by 526.
2
What is the remainder when 321981 is divided by 644?
625
What is the remainder when 32615 is divided by 72?
71
What is the remainder when 61349 is divided by 2800?
2549
Calculate the remainder when 417279 is divided by 37.
30
What is the remainder when 786 is divided by 161?
142
What is the remainder when 9234 is divided by 9225?
9
What is the remainder when 115601 is divided by 221?
18
Calculate the remainder when 6859 is divided by 1142.
7
What is the remainder when 6462 is divided by 961?
696
Calculate the remainder when 21518 is divided by 615.
608
What is the remainder when 98041 is divided by 49001?
39
What is the remainder when 3199 is divided by 798?
7
Calculate the remainder when 3159645 is divided by 1863.
1860
Calculate the remainder when 17315 is divided by 205.
95
Calculate the remainder when 4062 is divided by 107.
103
What is the remainder when 173127 is divided by 17312?
7
What is the remainder when 9533 is divided by 9488?
45
Calculate the remainder when 540956 is divided by 14.
10
What is the remainder when 15322 is divided by 3824?
26
What is the remainder when 453 is divided by 304?
149
What is the remainder when 9339 is divided by 9293?
46
What is the remainder when 40468 is divided by 9?
4
What is the remainder when 286465 is divided by 364?
361
What is the remainder when 59348 is divided by 468?
380
Calculate the remainder when 5517 is divided by 10.
7
Calculate the remainder when 34039 is divided by 81.
19
What is the remainder when 59556 is divided by 9?
3
What is the remainder when 16423933 is divided by 2752?
2749
What is the remainder when 6636 is divided by 579?
267
Calculate the remainder when 26626 is divided by 26607.
19
What is the remainder when 11169 is divided by 254?
247
What is the remainder when 5169 is divided by 129?
9
What is the remainder when 13995 is divided by 495?
135
Calculate the remainder when 71648 is divided by 25.
23
What is the remainder when 560379 is divided by 47?
45
Calculate the remainder when 349 is divided by 21.
13
What is the remainder when 4993 is divided by 41?
32
What is the remainder when 10549 is divided by 3447?
208
Calculate the remainder when 6038 is divided by 1481.
114
Calculate the remainder when 1744 is divided by 1712.
32
Calculate the remainder when 3670 is divided by 27.
25
What is the remainder when 9022 is divided by 4495?
32
What is the remainder when 18399 is divided by 258?
81
What is the remainder when 342338 is divided by 48?
2
What is the remainder when 46781 is divided by 180?
161
What is the remainder when 472826 is divided by 47281?
16
Calculate the remainder when 14268 is divided by 11690.
2578
What is the remainder when 3878 is divided by 728?
238
What is the remainder when 247579 is divided by 9?
7
Calculate the remainder when 2483 is divided by 357.
341
Calculate the remainder when 521575 is divided by 521568.
7
What is the remainder when 59608 is divided by 10?
8
Calculate the remainder when 141037 is divided by 70498.
41
What is the remainder when 1392521 is divided by 58?
57
What is the remainder when 7034 is divided by 1312?
474
Calculate the remainder when 19818 is divided by 3955.
43
Calculate the remainder when 7790 is divided by 139.
6
Calculate the remainder when 7627 is divided by 1268.
19
Calculate the remainder when 7152 is divided by 299.
275
Calculate the remainder when 48303 is divided by 119.
108
What is the remainder when 182974 is divided by 13?
12
What is the remainder when 2821 is divided by 2021?
800
What is the remainder when 24404 is divided by 282?
152
Calculate the remainder when 3205 is divided by 3194.
11
Calculate the remainder when 280036 is divided by 97.
94
What is the remainder when 30062 is divided by 33?
32
Calculate the remainder when 27415 is divided by 117.
37
Calculate the remainder when 30243 is divided by 115.
113
What is the remainder when 986 is divided by 60?
26
What is the remainder when 56251 is divided by 171?
163
What is the remainder when 130781 is divided by 756?
749
Calculate the remainder when 370268 is divided by 399.
395
What is the remainder when 31274 is divided by 63?
26
What is the remainder when 1828717 is divided by 25?
17
Calculate the remainder when 32507 is divided by 85.
37
What is the remainder when 83403 is divided by 44?
23
Calculate the remainder when 29696 is divided by 84.
44
Calculate the remainder when 7706 is divided by 234.
218
Calculate the remainder when 114239 is divided by 68.
67
What is the remainder when 8063 is divided by 735?
713
Calculate the remainder when 49535 is divided by 8250.
35
What is the remainder when 431 is divided by 84?
11
Calculate the remainder when 15960 is divided by 5317.
9
What is the remainder when 10053 is divided by 10049?
4
Calculate the remainder when 9083 is divided by 364.
347
What is the remainder when 87134 is divided by 14?
12
What is the remainder when 1763 is divided by 368?
291
Calculate the remainder when 890 is divided by 147.
8
What is the remainder when 11804 is divided by 562?
2
What is the remainder when 1845 is divided by 114?
21
Calculate the remainder when 18394 is divided by 1578.
1036
What is the remainder when 18528 is divided by 34?
32
What is the remainder when 12320 is divided by 1119?
11
What is the remainder when 91882 is divided by 8?
2
Calculate the remainder when 6709 is divided by 58.
39
Calculate the remainder when 479521 is divided by 270.
1
Calculate the remainder when 1896 is divided by 630.
6
What is the remainder when 420935 is divided by 107?
104
What is the remainder when 3164 is divided by 1379?
406
What is the remainder when 21532 is divided by 10602?
328
What is the remainder when 885 is divided by 295?
0
What is the remainder when 32311 is divided by 12?
7
What is the remainder when 54988 is divided by 195?
193
Calculate the remainder when 11735 is divided by 84.
59
Calculate the remainder when 4273 is divided by 532.
17
Calculate the remainder when 2584 is divided by 13.
10
What is the remainder when 86770 is divided by 28906?
52
What is the remainder when 81844 is divided by 52?
48
What is the remainder when 724656 is divided by 25880?
16
Calculate the remainder when 14561 is divided by 3635.
21
Calculate the remainder when 247633 is divided by 591.
4
Calculate the remainder when 1207 is divided by 325.
232
What is the remainder when 231131 is divided by 17?
16
Calculate the remainder when 3564 is divided by 155.
154
What is the remainder when 83150 is divided by 1320?
1310
Calculate the remainder when 5935 is divided by 231.
160
What is the remainder when 269364 is divided by 11223?
12
Calculate the remainder when 1214 is divided by 380.
74
What is the remainder when 62877 is divided by 62828?
49
What is the remainder when 2788 is divided by 242?
126
Calculate the remainder when 14014 is divided by 42.
28
Calculate the remainder when 2329 is divided by 569.
53
Calculate the remainder when 4312 is divided by 479.
1
Calculate the remainder when 64504 is divided by 96.
88
What is the remainder when 2072 is divided by 306?
236
Calculate the remainder when 12537 is divided by 113.
107
Calculate the remainder when 5449 is divided by 190.
129
Calculate the remainder when 2342 is divided by 461.
37
What is the remainder when 147911 is divided by 2311?
7
Calculate the remainder when 11252 is divided by 1226.
218
Calculate the remainder when 346 is divided by 17.
6
What is the remainder when 44264 is divided by 24?
8
What is the remainder when 3403 is divided by 773?
311
Calculate the remainder when 2083 is divided by 848.
387
What is the remainder when 9629 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
p**2 + 7. Calculate the remainder when q(5) is divided by i.
1
Let s = 57 - 34. Let c = 2 - 14. Calculate the remainder when s is divided by -1*(-2 - -3)*c.
11
Suppose 2*w - 160 = -2*r, 3*w + 0*w = r - 84. What is the remainder when r is divided by 41?
40
Let y(l) = -4*l - 29. What is the remainder when y(-14) is divided by (-144)/(-15) - 8/(-20)?
7
Let l(n) = -3*n**2 + 6*n + 3. Let f be l(-4). What is the remainder when ((-16)/(-24))/((-2)/f) is divided by 8?
7
Let u(i) = -i + 16. Calculate the remainder when 17 is divided by u(6).
7
Suppose c - 5*s = -23 - 2, -10 = -3*c - 2*s. Suppose h - 27 = -c*h. Let q(b) = -b**2 - 7*b - 2. Calculate the remainder when h is divided by q(-4).
7
Let x(o) = o**2 - 9*o + 5. Suppose 0 = -0*r - 3*r + 24. Calculate the remainder when r is divided by x(9).
3
Let b = 20 - 18. Let z(j) = 4*j**3 - 2*j**2 - 3*j + 3. Calculate the remainder when 62 is divided by z(b).
20
Suppose 0 = 2*h + 5*g - 50, 102 = 5*h + 4*g - 3*g. Suppose 2*u + 172 = 3*d, 4*u + 288 = 8*d - 3*d. Calculate the remainder when d is divided by h.
16
Let j(t) = t**3 - 4*t. Let u = 27 - 15. Suppose -4*y + u = 4*o, 0 = -4*o - 2*y + 3 + 19. What is the remainder when j(3) is divided by o?
7
Let o(g) = 5*g - 36. What is the remainder when 128 is divided by o(16)?
40
Let f be 0 - 114/((-12)/4). Suppose -5*p = -3*p - f. Calculate the remainder when 74 is divided by p.
17
Suppose -3*q + c = -121, 0*c = 5*q - 4*c - 211. Suppose 13*v - 14*v + q = 0. Calculate the remainder when v is divided by 21.
18
Let g(n) = 13 + 3*n - 3*n - n + 0*n. What is the remainder when 19 is divided by g(6)?
5
Suppose 2*z + 69 = 7. Let r = -22 - z. Calculate the remainder when -2*(42/(-4) - -2) is divided by r.
8
Let j(s) = s**3 + 3*s**2 - 2*s - 2. Calculate the remainder when 14 is divided by j(-3).
2
Let j(u) = -u**2 - 8*u. Let d = -5 - 0. Suppose 9 = -3*m + 93. What is the remainder when m is divided by j(d)?
13
Let d = 8 + -93. Let w = 148 + d. Calculate the remainder when w is divided by 11.
8
Let g = -4 - -3. Suppose 0 = 7*u - 3*u - 4*h - 24, -u = 5*h + 18. What is the remainder when (15/10)/(g/(-2)) is divided by u?
1
Suppose 2*i + 672 + 3138 = 5*o, -4*o + 3061 = i. What is the remainder when 78 is divided by (-2)/7 + o/28?
24
What is the remainder when 185/(5/1) + 0 is divided by 19?
18
Calculate the remainder when 86 is divided by (-18)/(1 + (-35)/25).
41
Let c = 52 + -24. Calculate the remainder when c is divided by 19.
9
Suppose -2*x + 7*x - 69 = -3*z, 2*x - 18 = 2*z. What is the remainder when 45 is divided by x?
9
Let a = 40 - -28. Let n = -95 + a. Calculate the remainder when -16*(n/6 - -1) is divided by 19.
18
Calculate the remainder when 90 is divided by 30/10 - (-30)/3.
12
Let g be 3/12 + 99/4. Let m = 3 - 1. Suppose m*k - 2 = -d + 4*k, 2*d = -3*k + g. Calculate the remainder when 15 is divided by d.
7
Let x = 43 + -24. Calculate the remainder when 35 is divided by x.
16
Let b = -17 - -179. Calculate the remainder when b is divided by 15.
12
Let n(y) = -y**3 - 8*y**2 - y + 11. Let z(o) = -7 + 3 - o + 3. Let d be z(7). Calculate the remainder when 55 is divided by n(d).
17
Let k(p) = 4*p**2 + p + 2 - 7*p + 0 + p**3 + 1. Calculate the remainder when 23 is divided by k(-5).
7
Calculate the remainder when (4/(-8))/(2*4/(-4304)) is divided by 17.
14
Suppose 13*w - 34 = 135. What is the remainder when w is divided by 6?
1
Suppose 0 = -p - 3, 4*p - 1 = -2*x + 1. Let q be -2 - x*(2 - 3). Suppose 2*b = -3*v + 19, 10*b = 5*b + q*v + 10. What is the remainder when 13 is divided by b?
3
What is the remainder when 2/(-8) + (-1530)/(-40) is divided by 21?
17
Suppose -2*y - 6 = -5*m, 8 = 6*y - 2*y. Let b(w) = w**3 - 9*w**2 + w - 7. Let r be b(9). Suppose m = g - r. What is the remainder when 13 is divided by g?
1
Suppose -4*t = -4*v + 28, 4 = -v - 2*v - 2*t. Suppose 36 = -v*z - 2*y, 2 - 5 = y. Let s = -8 - z. Calculate the remainder when s is divided by 2.
1
Let w be (-2 + 0)/((-2)/5). Suppose -w*g + 20 + 10 = 0. Suppose -3*y + 2 = j, -g*j - 4*y = -j - 10. Calculate the remainder when 5 is divided by j.
1
Let q(w) = w - 3. Let n be q(0). What is the remainder when 15/((-4)/(16/n)) is divided by 7?
6
Let s(y) = -y**3 - 5*y**2 - 2*y - 31. Suppose -3*j + 7 = 1. Calculate the remainder when s(-6) is divided by ((-6)/(-2))/(1/j).
5
Suppose 0 = -2*p - 3*j + 8*j + 145, -45 = -p - 3*j. Suppose -6*m + 97 = -m + 2*d, -m + 25 = -d. What is the remainder when p is divided by m?
18
Let c = -24 - -34. Suppose -h - u + 57 = 0, 2*h = 3*u - 2*u + 117. Suppose -w = w - h. Calculate the remainder when w is divided by c.
9
Let j(p) = -p**2 + 25 + 3*p - 5*p + 3*p. Let w be 2/10 - 3/15. Calculate the remainder when j(w) is divided by 13.
12
Suppose 25*w = 33*w - 80. What is the remainder when w is divided by 3?
1
Let w be (18/(-8))/(7/(-28)). Let d(u) = u**2 - 5*u + 7. Calculate the remainder when d(w) is divided by 11.
10
Calculate the remainder when 3/((-6)/(-136))*(-2)/(-2) is divided by 12.
8
Suppose -g + 0*g - 3*o = -8, -2*o = -5*g + 91. Suppose m + 0*m - 29 = 2*a, 2*m - 58 = -3*a. Let u = m - g. Calculate the remainder when u is divided by 5.
2
Suppose 3*k - 14 = 2*k. Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
sing order.
1042, 4, 0.5, -1/7, -8.1
Sort 540, -5, -1, 6, -4 in increasing order.
-5, -4, -1, 6, 540
Sort -2/9, 3, -26.4, -14/9, 4, 1/3 in descending order.
4, 3, 1/3, -2/9, -14/9, -26.4
Put 6, 26/71, -4 in descending order.
6, 26/71, -4
Sort -5, 1/359, -0.3, 5, 26.
-5, -0.3, 1/359, 5, 26
Put 95, 0, 32, 1 in decreasing order.
95, 32, 1, 0
Sort 3/7, -0.5, -4, 0.2241 in ascending order.
-4, -0.5, 0.2241, 3/7
Put -5, 420, 4, -4/93, -0.5 in increasing order.
-5, -0.5, -4/93, 4, 420
Put 21, -4, -8, -5, -18 in descending order.
21, -4, -5, -8, -18
Sort -4, -1444, -28 in descending order.
-4, -28, -1444
Put 5, -5, -1, 1320, 3 in increasing order.
-5, -1, 3, 5, 1320
Sort 821, 2, 1/7, 5/4.
1/7, 5/4, 2, 821
Put -4, 23, -23 in increasing order.
-23, -4, 23
Sort -3, 1, 5, -32, -4 in descending order.
5, 1, -3, -4, -32
Sort 20, -2/11, 2/11, 0.15, 259 in descending order.
259, 20, 2/11, 0.15, -2/11
Sort 4, 2, -20, 1, -4, 91.
-20, -4, 1, 2, 4, 91
Sort -4, -128, 405 in descending order.
405, -4, -128
Sort 58, 0, 1, -3, -4 in increasing order.
-4, -3, 0, 1, 58
Sort -21, 73, -0.3, 0.5.
-21, -0.3, 0.5, 73
Put 31, 0.5, 91 in decreasing order.
91, 31, 0.5
Sort 1038/37, 3/10, -2 in decreasing order.
1038/37, 3/10, -2
Put 12, -3763, 1, -5 in descending order.
12, 1, -5, -3763
Put -2.12, -0.5, 0.09 in decreasing order.
0.09, -0.5, -2.12
Sort -1, -2638, 4, 0.
-2638, -1, 0, 4
Put -14, -2542, 1 in decreasing order.
1, -14, -2542
Sort 0.5, 9, 16, -1, -3.3 in decreasing order.
16, 9, 0.5, -1, -3.3
Sort 2, -4/89, 7, -11 in decreasing order.
7, 2, -4/89, -11
Sort 7, 62, -1, -2, -4 in ascending order.
-4, -2, -1, 7, 62
Put 0.47, 15, 0.4, 2 in increasing order.
0.4, 0.47, 2, 15
Put -1005, -1, 69 in decreasing order.
69, -1, -1005
Put 0, 1, -14, 37 in ascending order.
-14, 0, 1, 37
Sort 496491, -1, 3 in decreasing order.
496491, 3, -1
Sort 4, -2/11, -0.244, -2, -4, 1/5.
-4, -2, -0.244, -2/11, 1/5, 4
Put 207, -228, 2 in ascending order.
-228, 2, 207
Sort 498, -11, 2, -16, -2 in descending order.
498, 2, -2, -11, -16
Sort 3, -73, -21, 0 in ascending order.
-73, -21, 0, 3
Sort -3, -1, 3501, -5 in descending order.
3501, -1, -3, -5
Put -4, -2, -17003 in descending order.
-2, -4, -17003
Put 101, -8, -1, 0, 576, -5 in decreasing order.
576, 101, 0, -1, -5, -8
Put -26/811, -2/17, 3/4 in descending order.
3/4, -26/811, -2/17
Sort 29, 5, 0, -12 in ascending order.
-12, 0, 5, 29
Sort -4, 1, -6, 999, -2, -3.
-6, -4, -3, -2, 1, 999
Sort 2, 199, -6, -22.
-22, -6, 2, 199
Put -3, -1344, -53, 0.4, -2 in ascending order.
-1344, -53, -3, -2, 0.4
Sort -1, -2162, -6 in increasing order.
-2162, -6, -1
Put 0.3, 0.2, -315, -9 in descending order.
0.3, 0.2, -9, -315
Sort -33, 3293, -5 in decreasing order.
3293, -5, -33
Put -6/17, 126, 78 in ascending order.
-6/17, 78, 126
Sort 1, -236, 13, -389.
-389, -236, 1, 13
Sort -0.4, 1, 0.1293, -4, -0.08.
-4, -0.4, -0.08, 0.1293, 1
Sort 53, -1, -2, 3, 9 in ascending order.
-2, -1, 3, 9, 53
Sort -2, -6, 8, -33 in descending order.
8, -2, -6, -33
Sort 9, -4, 738, -3.
-4, -3, 9, 738
Sort 1, 5, -7, 43, -3, -5.
-7, -5, -3, 1, 5, 43
Sort -1/27, 69, 0.2, -2 in ascending order.
-2, -1/27, 0.2, 69
Sort 5, -15, 45, -655 in decreasing order.
45, 5, -15, -655
Sort 0.2, 2.366, 3/2.
0.2, 3/2, 2.366
Put -1/6, 0.29, -1, -0.2, 3 in increasing order.
-1, -0.2, -1/6, 0.29, 3
Put -5, -4, -3, 2, -6943 in descending order.
2, -3, -4, -5, -6943
Sort -3, 24992, 4 in ascending order.
-3, 4, 24992
Sort 0.1, -4, 7, 0.05, 0, -9/8.
-4, -9/8, 0, 0.05, 0.1, 7
Sort 4, 0.3, -0.05, 6/7, -2, -6975 in increasing order.
-6975, -2, -0.05, 0.3, 6/7, 4
Sort 20, 2064, -5.
-5, 20, 2064
Put 21, -20, -201, -4, -5 in descending order.
21, -4, -5, -20, -201
Sort 1, 3, 2, -5, 37.5 in descending order.
37.5, 3, 2, 1, -5
Sort 77, -0.4, -47, 1/4 in increasing order.
-47, -0.4, 1/4, 77
Put -2, -30, 351 in descending order.
351, -2, -30
Put 2, 0, 2840, 4, -9 in ascending order.
-9, 0, 2, 4, 2840
Put 3, -25, -70 in increasing order.
-70, -25, 3
Put 6483, 6, 1, 0, 4, -2 in decreasing order
|
{
"pile_set_name": "DM Mathematics"
}
|
when 76 is divided by 11?
10
Calculate the remainder when 12 is divided by 4.
0
Calculate the remainder when 258 is divided by 42.
6
What is the remainder when 237 is divided by 76?
9
Calculate the remainder when 2099 is divided by 117.
110
What is the remainder when 96 is divided by 35?
26
Calculate the remainder when 157 is divided by 20.
17
What is the remainder when 158 is divided by 9?
5
Calculate the remainder when 221 is divided by 22.
1
What is the remainder when 1082 is divided by 155?
152
Calculate the remainder when 455 is divided by 84.
35
Calculate the remainder when 3438 is divided by 12.
6
What is the remainder when 900 is divided by 129?
126
What is the remainder when 850 is divided by 37?
36
Calculate the remainder when 2314 is divided by 329.
11
Calculate the remainder when 5097 is divided by 150.
147
What is the remainder when 511 is divided by 32?
31
Calculate the remainder when 3897 is divided by 229.
4
Calculate the remainder when 1433 is divided by 35.
33
Calculate the remainder when 1822 is divided by 278.
154
What is the remainder when 451 is divided by 7?
3
Calculate the remainder when 3328 is divided by 98.
94
What is the remainder when 106 is divided by 92?
14
What is the remainder when 385 is divided by 56?
49
Calculate the remainder when 699 is divided by 54.
51
Calculate the remainder when 980 is divided by 4.
0
Calculate the remainder when 85 is divided by 48.
37
What is the remainder when 78 is divided by 54?
24
What is the remainder when 876 is divided by 11?
7
Calculate the remainder when 830 is divided by 410.
10
What is the remainder when 106 is divided by 12?
10
What is the remainder when 198 is divided by 145?
53
What is the remainder when 5765 is divided by 8?
5
Calculate the remainder when 891 is divided by 858.
33
What is the remainder when 1869 is divided by 52?
49
What is the remainder when 424 is divided by 81?
19
Calculate the remainder when 788 is divided by 44.
40
Calculate the remainder when 2320 is divided by 6.
4
What is the remainder when 82 is divided by 70?
12
What is the remainder when 1649 is divided by 22?
21
What is the remainder when 3307 is divided by 78?
31
What is the remainder when 343 is divided by 88?
79
What is the remainder when 256 is divided by 70?
46
What is the remainder when 2098 is divided by 12?
10
What is the remainder when 52 is divided by 9?
7
Calculate the remainder when 451 is divided by 90.
1
What is the remainder when 449 is divided by 15?
14
Calculate the remainder when 260 is divided by 19.
13
Calculate the remainder when 3905 is divided by 23.
18
What is the remainder when 2 is divided by 2?
0
Calculate the remainder when 108 is divided by 16.
12
What is the remainder when 88 is divided by 19?
12
What is the remainder when 209 is divided by 7?
6
Calculate the remainder when 2800 is divided by 6.
4
What is the remainder when 618 is divided by 306?
6
Calculate the remainder when 51 is divided by 9.
6
What is the remainder when 381 is divided by 74?
11
What is the remainder when 11587 is divided by 39?
4
Calculate the remainder when 176 is divided by 28.
8
Calculate the remainder when 244 is divided by 129.
115
What is the remainder when 226 is divided by 87?
52
Calculate the remainder when 425 is divided by 39.
35
Calculate the remainder when 131 is divided by 50.
31
What is the remainder when 2957 is divided by 174?
173
What is the remainder when 249 is divided by 47?
14
Calculate the remainder when 571 is divided by 82.
79
Calculate the remainder when 65 is divided by 6.
5
Calculate the remainder when 736 is divided by 34.
22
Calculate the remainder when 29 is divided by 5.
4
What is the remainder when 669 is divided by 32?
29
Calculate the remainder when 204 is divided by 3.
0
Calculate the remainder when 193 is divided by 7.
4
Calculate the remainder when 4369 is divided by 59.
3
What is the remainder when 1463 is divided by 82?
69
What is the remainder when 90 is divided by 37?
16
Calculate the remainder when 42 is divided by 25.
17
Calculate the remainder when 280 is divided by 17.
8
What is the remainder when 931 is divided by 104?
99
What is the remainder when 241 is divided by 9?
7
Calculate the remainder when 760 is divided by 219.
103
What is the remainder when 271 is divided by 13?
11
Calculate the remainder when 23 is divided by 14.
9
Calculate the remainder when 117 is divided by 18.
9
Calculate the remainder when 769 is divided by 7.
6
What is the remainder when 244 is divided by 70?
34
Calculate the remainder when 14559 is divided by 112.
111
Calculate the remainder when 55 is divided by 15.
10
What is the remainder when 310 is divided by 13?
11
Calculate the remainder when 502 is divided by 72.
70
Calculate the remainder when 159 is divided by 38.
7
Calculate the remainder when 280 is divided by 96.
88
Calculate the remainder when 126 is divided by 112.
14
What is the remainder when 86 is divided by 29?
28
Calculate the remainder when 117 is divided by 56.
5
What is the remainder when 1596 is divided by 32?
28
Calculate the remainder when 1112 is divided by 516.
80
What is the remainder when 63 is divided by 2?
1
Calculate the remainder when 466 is divided by 60.
46
What is the remainder when 111 is divided by 25?
11
Calculate the remainder when 379 is divided by 14.
1
Calculate the remainder when 433 is divided by 153.
127
Calculate the remainder when 619 is divided by 63.
52
Calculate the remainder when 25 is divided by 24.
1
Calculate the remainder when 54 is divided by 11.
10
Calculate the remainder when 277 is divided by 3.
1
What is the remainder when 1825 is divided by 29?
27
What is the remainder when 1246 is divided by 151?
38
Calculate the remainder when 88 is divided by 10.
8
What is the remainder when 162 is divided by 62?
38
What is the remainder when 248 is divided by 79?
11
What is the remainder when 108 is divided by 41?
26
Calculate the remainder when 487 is divided by 52.
19
Calculate the remainder when 73 is divided by 13.
8
What is the remainder when 215 is divided by 124?
91
Calculate the remainder when 10055 is divided by 107.
104
What is the remainder when 506 is divided by 46?
0
What is the remainder when 18429 is divided by 97?
96
What is the remainder when 65 is divided by 22?
21
Calculate the remainder when 32 is divided by 14.
4
Calculate the remainder when 428 is divided by 48.
44
What is the remainder when 17647 is divided by 37?
35
What is the remainder when 1406 is divided by 32?
30
Calculate the remainder when 990 is divided by 225.
90
What is the remainder when 242 is divided by 49?
46
Calculate the remainder when 86 is divided by 35.
16
What is the remainder when 464 is divided by 92?
4
Calculate the remainder when 344 is divided by 15.
14
What is the remainder when 805 is divided by 788?
17
What is the remainder when 3916 is divided by 7?
3
Calculate the remainder when 26 is divided by 19.
7
Calculate the remainder when 267 is divided by 17.
12
What is the remainder when 106 is divided by 22?
18
What is the remainder when 253 is divided by 47?
18
What is the remainder when 10230 is divided by 12?
6
What is the remainder when 620 is divided by 89?
86
What is the remainder when 235 is divided by 60?
55
Calculate the remainder when 1049 is divided by 21.
20
Calculate the remainder when 5614 is divided by 2784.
46
What is the remainder when 209 is divided by 70?
69
Calculate the remainder when 109 is divided by 10.
9
Calculate the remainder when 3094 is divided by 72.
70
What is the remainder when 24 is divided by 9?
6
What is the remainder when 106 is divided by 22?
18
Calculate the remainder when 44 is divided by 23.
21
What is the remainder when 4 is divided by 2?
0
Calculate the remainder when 2025 is divided by 416.
361
What is the remainder when 1014 is divided by 68?
62
Calculate the remainder when 479 is divided by 224.
31
What
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 2234726.
12
What is the remainder when 154632 is divided by 77188?
256
What is the remainder when 17536 is divided by 3495?
61
What is the remainder when 3904263 is divided by 52?
51
Calculate the remainder when 570908 is divided by 570905.
3
What is the remainder when 1148796 is divided by 574363?
70
What is the remainder when 300328 is divided by 1517?
1479
Calculate the remainder when 562351 is divided by 3503.
1871
Calculate the remainder when 119029 is divided by 2085.
184
What is the remainder when 37302 is divided by 18255?
792
What is the remainder when 3580655 is divided by 625?
30
What is the remainder when 124606 is divided by 6229?
26
Calculate the remainder when 23834842 is divided by 108.
106
What is the remainder when 211643569 is divided by 124?
121
Calculate the remainder when 281189 is divided by 90502.
9683
Calculate the remainder when 873384 is divided by 37973.
5
Calculate the remainder when 142635 is divided by 3475.
160
What is the remainder when 126833 is divided by 63338?
157
What is the remainder when 236339 is divided by 115990?
4359
Calculate the remainder when 38401853 is divided by 4.
1
Calculate the remainder when 39623710 is divided by 191.
187
What is the remainder when 4556293 is divided by 657?
655
Calculate the remainder when 2785884 is divided by 257.
4
Calculate the remainder when 211304 is divided by 8799.
128
What is the remainder when 13284674 is divided by 251?
248
Calculate the remainder when 891937 is divided by 222451.
2133
Calculate the remainder when 2177943 is divided by 940.
903
Calculate the remainder when 121616 is divided by 4840.
616
Calculate the remainder when 30334 is divided by 2963.
704
Calculate the remainder when 31026 is divided by 15003.
1020
What is the remainder when 272851 is divided by 163?
152
What is the remainder when 813170 is divided by 3240?
3170
What is the remainder when 35057457 is divided by 11685815?
12
Calculate the remainder when 11726535 is divided by 1560.
15
Calculate the remainder when 441869 is divided by 243.
95
What is the remainder when 11339156 is divided by 154?
136
What is the remainder when 15655 is divided by 201?
178
Calculate the remainder when 41406626 is divided by 62.
50
What is the remainder when 4131105 is divided by 51637?
145
What is the remainder when 3991083 is divided by 199548?
123
What is the remainder when 5518976 is divided by 317?
6
What is the remainder when 97023 is divided by 419?
234
What is the remainder when 2365556 is divided by 159?
113
Calculate the remainder when 17536128 is divided by 8768039.
50
What is the remainder when 520824 is divided by 23673?
18
What is the remainder when 496070 is divided by 55?
25
Calculate the remainder when 176353 is divided by 88164.
25
Calculate the remainder when 1412488 is divided by 591.
589
What is the remainder when 9820 is divided by 2850?
1270
Calculate the remainder when 10036988 is divided by 48.
44
Calculate the remainder when 25300370 is divided by 20.
10
What is the remainder when 1096119 is divided by 23827?
77
Calculate the remainder when 337409 is divided by 90.
89
Calculate the remainder when 2373570 is divided by 21005.
5
What is the remainder when 704974 is divided by 746?
4
What is the remainder when 1056319 is divided by 435?
139
Calculate the remainder when 22611368 is divided by 69.
68
What is the remainder when 190822 is divided by 1988?
1962
Calculate the remainder when 268634 is divided by 270.
254
What is the remainder when 63944859 is divided by 73?
71
Calculate the remainder when 194581 is divided by 1014.
907
Calculate the remainder when 1457962609 is divided by 7.
5
What is the remainder when 1193862 is divided by 29117?
65
What is the remainder when 13269 is divided by 944?
53
What is the remainder when 18912055 is divided by 43?
10
What is the remainder when 33660314 is divided by 56?
2
What is the remainder when 6975752 is divided by 702?
680
What is the remainder when 3015028 is divided by 31?
30
What is the remainder when 214897 is divided by 14250?
1147
What is the remainder when 35133653 is divided by 219?
140
What is the remainder when 31903481 is divided by 6775?
6
Calculate the remainder when 6235816 is divided by 27112.
56
What is the remainder when 228876910 is divided by 88?
86
What is the remainder when 15763 is divided by 3664?
1107
What is the remainder when 869062 is divided by 697?
600
Calculate the remainder when 31760 is divided by 256.
16
What is the remainder when 18837704 is divided by 224258?
32
What is the remainder when 411069 is divided by 453?
198
Calculate the remainder when 939471 is divided by 93869.
781
Calculate the remainder when 95858058 is divided by 277.
269
Calculate the remainder when 44552724 is divided by 2121558.
6
What is the remainder when 3231862777 is divided by 31?
30
What is the remainder when 174937 is divided by 2309?
1762
What is the remainder when 136936 is divided by 6846?
16
Calculate the remainder when 112032 is divided by 37320.
72
What is the remainder when 91538173 is divided by 284280?
13
Calculate the remainder when 777925 is divided by 1499.
1443
Calculate the remainder when 15914005 is divided by 1168.
5
Calculate the remainder when 668106 is divided by 870.
816
What is the remainder when 48859594 is divided by 1116?
1114
Calculate the remainder when 12696138 is divided by 2116023.
0
What is the remainder when 327761278 is divided by 1056?
1054
What is the remainder when 2397755 is divided by 33?
8
What is the remainder when 5072884 is divided by 80?
4
Calculate the remainder when 1428065 is divided by 3216.
161
Calculate the remainder when 283735 is divided by 18868.
715
Calculate the remainder when 26077189 is divided by 24.
13
What is the remainder when 8716034 is divided by 13?
2
What is the remainder when 7647908 is divided by 4299?
4286
Calculate the remainder when 579925 is divided by 11354.
871
Calculate the remainder when 1531912 is divided by 382963.
60
Calculate the remainder when 5973598 is divided by 760.
758
What is the remainder when 7010575 is divided by 194?
191
Calculate the remainder when 44829372 is divided by 482.
480
What is the remainder when 5431205 is divided by 242?
241
What is the remainder when 12979 is divided by 3120?
499
What is the remainder when 94277 is divided by 3612?
365
Calculate the remainder when 143721 is divided by 995.
441
What is the remainder when 16363 is divided by 6604?
3155
Calculate the remainder when 130654 is divided by 400.
254
Calculate the remainder when 5074360 is divided by 23.
8
Calculate the remainder when 37693 is divided by 12474.
271
Calculate the remainder when 5830564 is divided by 971756.
28
What is the remainder when 4341542 is divided by 262?
202
Calculate the remainder when 2490690 is divided by 1245336.
18
Calculate the remainder when 126285 is divided by 710.
615
What is the remainder when 1044156 is divided by 126?
120
Calculate the remainder when 10511485 is divided by 14.
5
What is the remainder when 3036760 is divided by 2034?
2032
What is the remainder when 171081 is divided by 541?
125
What is the remainder when 649328 is divided by 74?
52
Calculate the remainder when 27266 is divided by 1884.
890
Calculate the remainder when 2730208 is divided by 1365016.
176
Calculate the remainder when 148108 is divided by 824.
612
What is the remainder when 1398580 is divided by 2512?
1908
Calculate the remainder when 1160445 is divided by 1533.
1497
Calculate the remainder when 5850280 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
7*k + 16
What is the c'th term of -1870462, -3740930, -5611398, -7481866?
-1870468*c + 6
What is the m'th term of 1481, 552, -989, -3142, -5907, -9284, -13273?
-306*m**2 - 11*m + 1798
What is the c'th term of 1544917, 1544939, 1544961, 1544983?
22*c + 1544895
What is the g'th term of -717, -1248, -2109, -3306, -4845, -6732, -8973, -11574?
-g**3 - 159*g**2 - 47*g - 510
What is the j'th term of 3654, 27080, 90704, 214638, 418994?
3352*j**3 - 13*j**2 + j + 314
What is the m'th term of 1098, 4943, 11486, 20733, 32690, 47363, 64758, 84881?
m**3 + 1343*m**2 - 191*m - 55
What is the z'th term of 35502, 47730, 59956, 72180, 84402, 96622, 108840?
-z**2 + 12231*z + 23272
What is the d'th term of -83602, -167214, -250812, -334396?
7*d**2 - 83633*d + 24
What is the p'th term of 8567, 8652, 8883, 9332, 10071?
12*p**3 + p**2 - 2*p + 8556
What is the d'th term of -82477220, -164954442, -247431664, -329908886, -412386108, -494863330?
-82477222*d + 2
What is the s'th term of -2771, -12151, -28149, -50765?
-3309*s**2 + 547*s - 9
What is the f'th term of -57522534, -57522538, -57522544, -57522552, -57522562, -57522574?
-f**2 - f - 57522532
What is the r'th term of -13105, -26137, -39039, -51745, -64189?
11*r**3 - r**2 - 13106*r - 9
What is the v'th term of -2171, -8984, -20339, -36236, -56675, -81656, -111179?
-2271*v**2 + 100
What is the n'th term of 359233, 718529, 1077825?
359296*n - 63
What is the j'th term of -65493, -65491, -65483, -65469, -65449?
3*j**2 - 7*j - 65489
What is the d'th term of -412, -1041, -2038, -3403, -5136?
-184*d**2 - 77*d - 151
What is the y'th term of -396612646, -396612645, -396612644, -396612643, -396612642, -396612641?
y - 396612647
What is the w'th term of -14780, -13425, -12072, -10721, -9372, -8025?
-w**2 + 1358*w - 16137
What is the y'th term of -587343, -587349, -587365, -587397, -587451, -587533?
-y**3 + y**2 - 2*y - 587341
What is the y'th term of 23336, 20768, 18200, 15632?
-2568*y + 25904
What is the q'th term of 134969295, 134969294, 134969293, 134969292, 134969291?
-q + 134969296
What is the p'th term of -16531, -66305, -149263, -265405, -414731, -597241?
-16592*p**2 + 2*p + 59
What is the y'th term of -236866007, -236866005, -236866003, -236866001, -236865999?
2*y - 236866009
What is the j'th term of 14306, 28234, 42162?
13928*j + 378
What is the j'th term of 7891001, 15782006, 23673013, 31564022, 39455033, 47346046, 55237061?
j**2 + 7891002*j - 2
What is the m'th term of -215200, -215049, -214898, -214747, -214596, -214445?
151*m - 215351
What is the k'th term of -1627041, -3253870, -4880699, -6507528, -8134357, -9761186?
-1626829*k - 212
What is the r'th term of 6612, 29862, 69752, 126282, 199452, 289262, 395712?
8320*r**2 - 1710*r + 2
What is the u'th term of -40, -305, -768, -1447, -2360, -3525, -4960?
-3*u**3 - 81*u**2 - u + 45
What is the z'th term of 165355934, 165355935, 165355936, 165355937?
z + 165355933
What is the z'th term of -25334838, -25334837, -25334836, -25334835, -25334834, -25334833?
z - 25334839
What is the r'th term of -950218, -7601680, -25655650, -60813382, -118776130?
-950209*r**3 + r - 10
What is the m'th term of 12394230, 12394235, 12394240, 12394245, 12394250, 12394255?
5*m + 12394225
What is the o'th term of 381, 931, 1893, 3279, 5101, 7371, 10101?
2*o**3 + 194*o**2 - 46*o + 231
What is the l'th term of -14, -49, -140, -311, -586, -989, -1544, -2275?
-4*l**3 - 4*l**2 + 5*l - 11
What is the h'th term of -88370, -88360, -88340, -88310?
5*h**2 - 5*h - 88370
What is the a'th term of 17369388, 34738777, 52108170, 69477567, 86846968, 104216373, 121585782?
2*a**2 + 17369383*a + 3
What is the a'th term of -130690, -263275, -395862, -528451, -661042, -793635?
-a**2 - 132582*a + 1893
What is the y'th term of 1748203, 1748238, 1748273, 1748308?
35*y + 1748168
What is the x'th term of -100725, -100731, -100753, -100797, -100869?
-x**3 - 2*x**2 + 7*x - 100729
What is the v'th term of -358, -2420, -5848, -10642, -16802, -24328?
-683*v**2 - 13*v + 338
What is the y'th term of -63066, -126134, -189202?
-63068*y + 2
What is the p'th term of -24429, -21480, -18531?
2949*p - 27378
What is the d'th term of -4720403, -4720221, -4720039, -4719857?
182*d - 4720585
What is the z'th term of 180872, 361869, 542852, 723821, 904776, 1085717, 1266644?
-7*z**2 + 181018*z - 139
What is the z'th term of 1196693, 2393365, 3590037, 4786709?
1196672*z + 21
What is the r
|
{
"pile_set_name": "DM Mathematics"
}
|
99) - (sqrt(99) + -1)))))**2.
-324*sqrt(11) + 8054
Simplify (3*(sqrt(88) + (sqrt(88) - (sqrt(88) - -1*sqrt(88)) - sqrt(88))*-2)*-4)/(sqrt(72) + -4*sqrt(72)*1 + -2*sqrt(72)*5).
20*sqrt(11)/13
Simplify ((-3*(0 + sqrt(567) + -3) - (-5 + (sqrt(567) - (sqrt(567) + -2 + sqrt(567))) + sqrt(567) + -4))**2*-3 + 2)*-1.
-2592*sqrt(7) + 16075
Simplify (3*(-1*sqrt(80) - sqrt(40)/(sqrt(2) + sqrt(18))))**2 - ((2 + -2*sqrt(125) + sqrt(125) + sqrt(125) + sqrt(125) + 3*(-1 + sqrt(125)))**2 + 3).
-4371/4 + 40*sqrt(5)
Simplify (-3*(-3 + 1 + -4*(sqrt(1200) + (sqrt(1200) + -2*sqrt(1200) + sqrt(1200))*-6 + sqrt(1200))))**2.
5760*sqrt(3) + 691236
Simplify (((-1 + 1*(sqrt(1584) - (0 + sqrt(1584) + -4 - sqrt(1584)) - sqrt(1584)))*-2 + 4)*-2)**2.
16
Simplify (sqrt(190) - (sqrt(190) + 1*sqrt(190)*2))/(sqrt(60)/sqrt(150)) - (4 + 3*(sqrt(19) + 1 - sqrt(19))*-3 + 5).
-10*sqrt(19)
Simplify (sqrt(152)/((sqrt(96) + 5*sqrt(96))/sqrt(12)) + 3*(sqrt(152)/sqrt(8) + 1) + -4)**2 + -5.
-19*sqrt(19)/3 + 6715/36
Simplify ((2*(sqrt(1216) + (sqrt(1216) + sqrt(1216)*1)*5 + -4) - ((5 + sqrt(1216) + 0 - (1 + sqrt(1216) + -4)) + -3)) + -4)**2.
-5984*sqrt(19) + 588833
Simplify (-6*(1 + -6*sqrt(44)/(sqrt(8)/sqrt(2)))**2 + 0)*3.
-7146 + 216*sqrt(11)
Simplify (-3 + sqrt(38)/sqrt(2))**2*-6*3 + 0 - ((sqrt(152) + -1*sqrt(152)*-6)/sqrt(8) + 5*(-1 + sqrt(1216))).
-499 + 61*sqrt(19)
Simplify -5*-2*(-1*(1 + sqrt(176)) + sqrt(99) + -1 + sqrt(99) + (-1 + sqrt(11) + 0)**2)*-4.
-400
Simplify -5*(1 + sqrt(117) + sqrt(104)/sqrt(2) + -2) + 1 + -1 + ((sqrt(832) + -1)*-4 + sqrt(832))**2.
-217*sqrt(13) + 7509
Simplify (4 + 4*(4*-3*(-3 + sqrt(1377) + 0) + -1) + 2)**2.
-126144*sqrt(17) + 3193924
Simplify 4*(5 + (sqrt(10)/(sqrt(98)*4 - sqrt(2)))**2 + (6*-2*sqrt(5) + sqrt(5))**2 + ((sqrt(120)/sqrt(6))**2 - sqrt(5))).
-4*sqrt(5) + 1837100/729
Simplify (1 + -4*(sqrt(200)*-4 - sqrt(200) - sqrt(200) - sqrt(200)))**2*1 - (sqrt(200)*1 + sqrt(200) + -4 + -4 + (sqrt(200) - sqrt(200)*6)).
590*sqrt(2) + 156809
Simplify ((3*(0 + sqrt(425))*1)**2 - ((sqrt(425)*1 - sqrt(425)) + 0 - ((sqrt(425) + (sqrt(425) + 1 - sqrt(425))**2 + sqrt(425))*-1 + sqrt(425))))*-5*-4.
-100*sqrt(17) + 76480
Simplify -5 + ((sqrt(200) - (sqrt(200)*2*-5 + sqrt(200)))**2 + 2 - (sqrt(200)*1 + sqrt(200) + -2 + ((sqrt(200) + 1)*2 + sqrt(200))**2))*-6.
-109205 + 840*sqrt(2)
Simplify ((sqrt(119) - 2*sqrt(119)*-2) + sqrt(119))/(sqrt(7) + (sqrt(7) - (sqrt(7) + (sqrt(77)*-3)/sqrt(11)))) - (-1*sqrt(187)*2)/((2*sqrt(33))/sqrt(3)).
5*sqrt(17)/2
Simplify 5 + (sqrt(700)*-5 - sqrt(7)) + -3 + 1*sqrt(49)/(sqrt(7)*6*2) + -4.
-611*sqrt(7)/12 - 2
Simplify (sqrt(228)/(3*sqrt(588)) - (sqrt(304) + -2 + 5)**2) + 1 + 5.
-307 - 503*sqrt(19)/21
Simplify 3*((4*-2*(sqrt(78) + (2*sqrt(78) - sqrt(78) - sqrt(78) - sqrt(78)) - sqrt(78)))/(((2*sqrt(72))/sqrt(2) - sqrt(36))/sqrt(6)) + 3 + 3)**2.
288*sqrt(13) + 2604
Simplify ((3*(-3 + sqrt(1200)))**2 - ((sqrt(363) - (sqrt(363) - (0 + sqrt(363)))*2)**2 - 5*(-2 + sqrt(363))**2)) + 5.
-1300*sqrt(3) + 12358
Simplify (0 + (sqrt(117) + -4*(1*sqrt(117) - sqrt(117)))/((sqrt(81) + -2*sqrt(81) - sqrt(81))/sqrt(9)) + -4 + 5)*3.
-3*sqrt(13)/2 + 3
Simplify (-5*((sqrt(1764) - (sqrt(1764) - (sqrt(1764) - 2*sqrt(1764) - sqrt(1764))*-1)) + sqrt(1764) - sqrt(1764)))/(-2*-3*sqrt(36)/sqrt(3)*-6).
35*sqrt(3)/18
Simplify (sqrt(468)/(sqrt(24)/sqrt(2) + sqrt(12)) + sqrt(39) + sqrt(39) + sqrt(39) + sqrt(234)/sqrt(6)*-3)/((5*sqrt(33)*-2)/(-2*sqrt(891))).
9*sqrt(13)/10
Simplify ((sqrt(60) + sqrt(2160) + sqrt(60))/sqrt(6) - sqrt(20)/sqrt(2)*-3)/(sqrt(80) + 2*(1*sqrt(80) + sqrt(80)) + sqrt(80) + sqrt(80) + sqrt(80)*-1*2)*6.
33*sqrt(2)/10
Simplify (((sqrt(256) + -4*sqrt(256))*-1*-3)/(5*(1*sqrt(200) + sqrt(200))*-3))**2.
72/625
Simplify ((sqrt(624) - -5*-1*sqrt(624)) + sqrt(624) - (sqrt(624)*2 + sqrt(624))*-2)/(4*(sqrt(192) - sqrt(192)*-2)).
sqrt(13)/8
Simplify (-1 + sqrt(200) + -5 + 5 + sqrt(200)*3)*5 + 4.
-1 + 200*sqrt(2)
Simplify (-2 + ((sqrt(704) + (-5*sqrt(704)*2 - sqrt(704)))*-2 + -6*(sqrt(704) + 1 + 2))*-1 + -1)**2.
-3360*sqrt(11) + 138209
Simplify -1*(((sqrt(2736)*2*1 + 2 + sqrt(2736)*1)*-5)**2 + (3*(sqrt(2736) + 1)*-1*-3)**2).
-837397 - 5544*sqrt(19)
Simplify (5 + 6*(sqrt(300) - 3*sqrt(300) - sqrt(300))*-6)**2 - 6*(0 + -1 + sqrt(300) + 1).
10740*sqrt(3) + 3499225
Simplify -2*(3*(sqrt(208) + (sqrt(208) - 1*(sqrt(208) + sqrt(208) + -2 - sqrt(208)))) - (0 + -5*sqrt(208)*-2))**2*1.
-20456 + 672*sqrt(13)
Simplify (sqrt(91) + -6*
|
{
"pile_set_name": "DM Mathematics"
}
|
How many milligrams are there in 0.9521426ug?
0.0009521426
Convert 38115.144ms to hours.
0.01058754
What is 18434.727 minutes in hours?
307.24545
What is one quarter of a century in months?
300
What is 3/8 of a litre in millilitres?
375
How many hours are there in ten sevenths of a week?
240
What is 17/2 of a meter in millimeters?
8500
What is one fifth of a millennium in years?
200
Convert 9193.947l to millilitres.
9193947
What is 33/5 of a litre in millilitres?
6600
Convert 0.1472949 milliseconds to microseconds.
147.2949
How many micrograms are there in thirty-one halves of a milligram?
15500
Convert 58.97354 millilitres to litres.
0.05897354
Convert 5242.407 micrometers to nanometers.
5242407
How many millilitres are there in 955.1273 litres?
955127.3
Convert 592651.2 millilitres to litres.
592.6512
How many millilitres are there in twenty-five quarters of a litre?
6250
What is eleven tenths of a litre in millilitres?
1100
How many micrometers are there in 2265.49 millimeters?
2265490
How many kilometers are there in 60.3673um?
0.0000000603673
What is 325609.9 decades in millennia?
3256.099
How many milligrams are there in 15/4 of a gram?
3750
What is 1/10 of a litre in millilitres?
100
What is 3.784219 decades in months?
454.10628
What is 6/5 of a day in minutes?
1728
Convert 1.3990617 milliseconds to minutes.
0.000023317695
How many decades are there in 55/4 of a millennium?
1375
Convert 67289.51m to kilometers.
67.28951
Convert 67.79092 decades to years.
677.9092
How many millilitres are there in 3/25 of a litre?
120
What is 77705.97 centuries in millennia?
7770.597
How many days are there in twelve sevenths of a week?
12
What is 11/8 of a kilogram in grams?
1375
How many months are there in 13/4 of a century?
3900
Convert 9.425801 litres to millilitres.
9425.801
How many minutes are there in eight thirds of a week?
26880
How many months are there in 4/15 of a millennium?
3200
How many kilograms are there in 803241.4mg?
0.8032414
How many micrograms are there in 7/8 of a milligram?
875
Convert 1199.852m to kilometers.
1.199852
What is 3.4759725 days in weeks?
0.4965675
How many microseconds are there in three eighths of a millisecond?
375
What is three fifths of a decade in years?
6
How many months are there in 73/3 of a decade?
2920
What is thirty-seven fifths of a centimeter in millimeters?
74
Convert 6.742075ml to litres.
0.006742075
How many millilitres are there in 819194.2 litres?
819194200
How many micrometers are there in nine sixteenths of a centimeter?
5625
How many micrometers are there in 1/16 of a centimeter?
625
What is 0.1120939 years in months?
1.3451268
What is 13/5 of a litre in millilitres?
2600
How many millennia are there in 71176.14 months?
5.931345
How many seconds are there in seventeen halves of a minute?
510
How many meters are there in 386599.8 millimeters?
386.5998
What is twenty-seven fifths of a gram in milligrams?
5400
How many kilograms are there in eleven quarters of a tonne?
2750
What is seven quarters of a litre in millilitres?
1750
How many nanometers are there in 5.811147mm?
5811147
How many millilitres are there in 37/5 of a litre?
7400
How many millilitres are there in 110349.9l?
110349900
What is twenty-nine fifths of a litre in millilitres?
5800
How many years are there in 9/10 of a decade?
9
What is 11/2 of a year in months?
66
How many minutes are there in 1/10 of a week?
1008
Convert 37.17874mm to micrometers.
37178.74
How many nanograms are there in 28696.86 tonnes?
28696860000000000000
How many decades are there in thirty-two fifths of a millennium?
640
How many grams are there in 1/10 of a kilogram?
100
How many meters are there in 61.86695 micrometers?
0.00006186695
What is 0.3924768 seconds in milliseconds?
392.4768
How many minutes are there in seventy-seven thirds of a day?
36960
Convert 702281.8 nanometers to kilometers.
0.0000007022818
What is twenty-one quarters of a decade in months?
630
What is 1987645.8 months in millennia?
165.63715
What is 1/20 of a microgram in nanograms?
50
How many millennia are there in 15.18483 years?
0.01518483
Convert 0.0090601 centuries to years.
0.90601
What is 13/7 of a week in hours?
312
Convert 22.28729 weeks to hours.
3744.26472
What is 6/5 of a kilogram in grams?
1200
Convert 220.5498um to centimeters.
0.02205498
How many millilitres are there in fourty-three quarters of a litre?
10750
How many days are there in 72.13716 minutes?
0.05009525
How many milligrams are there in 3/10 of a gram?
300
How many milliseconds are there in 7.797913 hours?
28072486.8
How many seconds are there in 63536.38 nanoseconds?
0.00006353638
What is 204345.8mm in centimeters?
20434.58
What is 3/10 of a century in decades?
3
How many weeks are there in 172371.36 hours?
1026.02
Convert 297306.9 days to hours.
7135365.6
What is 3/16 of a centimeter in micrometers?
1875
What is 1/4 of a gram in milligrams?
250
What is twenty-nine halves of a litre in millilitres?
14500
How many millilitres are there in 30.60448l?
30604.48
Convert 532.4178 tonnes to kilograms.
532417.8
How many months are there in 47.98693 centuries?
57584.316
How many centuries are there in 3/10 of a millennium?
3
How many millilitres are there in 1/4 of a litre?
250
What is 13/8 of a day in minutes?
2340
What is 0.468351 years in decades?
0.0468351
How many millilitres are there in 29/2 of a litre?
14500
How many litres are there in 994.8252 millilitres?
0.9948252
What is 1/4 of a microgram in nanograms?
250
How many seconds are there in four thirds of a minute?
80
What is 100.6333mm in meters?
0.1006333
Convert 183.313mg to nanograms.
183313000
Convert 0.2253978 millilitres to litres.
0.0002253978
Convert 0.4368733ng to grams.
0.0000000004368733
What is 43/2 of a microgram in nanograms?
21500
What is 21/5 of a millennium in months?
50400
Convert 4.312347t to nanograms.
4312347000000000
How many decades are there in fifty-four fifths of a millennium?
1080
What is four thirds of a week in minutes?
13440
How many meters are there in one fifth of a kilometer?
200
How many years are there in 9/10 of a decade?
9
Convert 9.110221um to meters.
0.000009110221
What is 1.71345 micrograms in kilograms?
0.00000000171345
What is 25/4 of a litre in millilitres?
6250
What is seven halves of a micrometer in nanometers?
3500
How many milligrams are there in 8/25 of a gram?
320
Convert 207.515 decades to months.
24901.8
How many millimeters
|
{
"pile_set_name": "DM Mathematics"
}
|
Let h(i) = -i**3 + 6*i**2 - 5*i + 2. Let v be h(5). Suppose -5*z = -3*g + 12, -3*g - v*z = -6*z - 9. Put g, f, 1 in descending order.
1, g, f
Let o = 4 - 3.9. Put 11, -1, o in decreasing order.
11, o, -1
Let b(s) = -s**3 - s. Let y(m) = 2*m**2 - m. Let h be y(1). Let o be b(h). Let j = -1 - -1. Put j, o, -1 in increasing order.
o, -1, j
Suppose -5*v + 18 = 4*n, -4*n + 3*v = 5*v - 12. Sort -1, n, 8, -5 in decreasing order.
8, n, -1, -5
Suppose 0 = d - 2 - 4. Suppose -3*m = -d*m. Suppose 3*u - 2*u - 2 = m. Put 5, -4, u in increasing order.
-4, u, 5
Let i(z) be the second derivative of -z**5/20 - z**4/6 + z**2 + 4*z. Let s be i(-2). Put -3, s, 4 in descending order.
4, s, -3
Suppose 14 + 14 = -4*d. Let n be 58/(-18) + (-21)/d. Sort n, -0.05, 0.1 in descending order.
0.1, -0.05, n
Let s = 21 - 11. Let f(c) be the second derivative of -c**3/6 + 5*c**2/2 + 2*c. Let u be f(s). Put 0, u, 5 in descending order.
5, 0, u
Let p(m) = -m**2 + 7*m + 1. Let t be p(7). Suppose k = -4*k - 5. Let j = 6 + k. Sort -3/8, t, j in decreasing order.
j, t, -3/8
Let p = 1.66 - 1.26. Sort -4, -1/3, p, -2/3.
-4, -2/3, -1/3, p
Let d(y) = -4*y - 1. Let w be d(-1). Let n be 2 - (3 + 0 + -4). Suppose n*z = 4*z. Sort -4, w, z in ascending order.
-4, z, w
Let p be (3 - -1)*25/20. Let q be (-10)/(-6) - (-6)/(-9). Sort p, q, -2.
-2, q, p
Let s(z) = -z**2 - 4*z + 3. Let l be s(-5). Let b(f) = -10 + f - f + f. Let c be b(7). Sort l, -1, c in decreasing order.
-1, l, c
Let l = -409/5320 - -3/152. Let n = l - 52/315. Let d = 5/4 - 2. Sort n, d, -4/5 in increasing order.
-4/5, d, n
Let v = 1 + 3. Let b = -2 + v. Suppose 0*f - 2 = b*f. Put f, 0.2, -4/5 in decreasing order.
0.2, -4/5, f
Let k = 1.8 - -5.2. Sort -4, 2/5, k in decreasing order.
k, 2/5, -4
Suppose j = -2*n + 6, 0*j + 11 = -5*n + 4*j. Suppose -3*p - p = -72. Let w = p + -13. Sort n, 2, w in increasing order.
n, 2, w
Let a be (0 - 0) + (-1 - -3). Let x be ((-54)/8)/((-8)/32). Suppose -5*w - a = -x. Put 3, w, -5 in descending order.
w, 3, -5
Suppose -3*p + 3*y = 21, 2*y = -4*p + 4*y - 24. Sort 17, 4, p.
p, 4, 17
Let q be (-34)/51 - (1 - 2). Sort 2/7, 6, q in decreasing order.
6, q, 2/7
Let m = 3 + -2. Suppose 0 = -4*v + 15 - 3. Let k = 11 + -7. Sort v, m, k.
m, v, k
Let z(f) = f + 2. Let r be z(-1). Sort -3, 2, r in descending order.
2, r, -3
Let o = -0.29 - -0.69. Put -1, o, 1 in descending order.
1, o, -1
Let f = 29 - 28. Put -3, f, 4 in decreasing order.
4, f, -3
Suppose 10 = -3*w - 2. Let t be 2/(-5) - 352/(-80). Sort t, w, -5.
-5, w, t
Suppose 0*q = -q. Suppose -5*b + q*b - 5 = 0. Let f = b + 6. Put 1, f, -5 in ascending order.
-5, 1, f
Let f = 6 - 5. Let b be 6/10 + (-10)/25. Put f, 0, b in descending order.
f, b, 0
Let a = 1.25 - 1.3. Sort a, 5, -5 in ascending order.
-5, a, 5
Suppose 3*f + 8 = -7. Let w be 3 + f/1 - 3. Sort w, 1/3, -2/7 in increasing order.
w, -2/7, 1/3
Let b = 22 + -16. Let j = b - 2. Let m = 0.2 - 0.4. Sort 2, j, m in decreasing order.
j, 2, m
Let h = -0.145 + 0.115. Put h, -0.5, 1/4, 4 in ascending order.
-0.5, h, 1/4, 4
Let r = -1.29 - -0.09. Let t = r + 6.2. Sort 2, -1/2, t in descending order.
t, 2, -1/2
Suppose -4*r = r. Suppose -b - 21 = -3*d - r*b, -b = d - 3. Suppose d*x = 4*x. Put x, 4, 5 in descending order.
5, 4, x
Let f = -0.13 - -4.13. Put -2/5, -4, f in increasing order.
-4, -2/5, f
Let y = -11.4 + 11. Let u = -0.2 - y. Sort u, -0.2, 1.
-0.2, u, 1
Let t be (-6)/(-52)*22 - 1. Let m = 86/39 - t. Sort 1/2, m, 4.
1/2, m, 4
Let c = 93 + -88. Put c, 2/5, 0, -0.05 in decreasing order.
c, 2/5, 0, -0.05
Let v = 2 - 1. Let p = v - 1. Sort p, -2, 0.2.
-2, p, 0.2
Suppose -3*u - 5 = -5*s - 46, -5*u + 2*s + 62 = 0. Suppose k + u = -3*k. Let x = k - -2. Put -4, 4, x in ascending order.
-4, x, 4
Let u = -7 - -3. Suppose -6 = 4*q - 2*q. Sort 4, u, q in descending order.
4, q, u
Suppose 0 = -0*b + 2*b - 6. Put b, 9, -4 in descending order.
9, b, -4
Let j = 5 - 4. Sort -5, 5, j in ascending order.
-5, j, 5
Suppose -10*y + 4*y = 6. Let s(x) = x**3 - x**2 - 2*x + 4. Let q be s(3). Suppose q = 2*r - 6*r. Put 1, r, y in increasing order.
r, y, 1
Let a(z) = -z**2 - 4*z - 2. Let y(k) = 3*k**2 + 11*k + 5. Let j(v) = 11*a(v) + 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
3.4 + 2261945.399895. Let v = 48 + n. What is v rounded to 5 dps?
-0.00011
Let c = 125.029912 - 1.024812. Let n = -122 - 2. Let x = c + n. What is x rounded to 3 dps?
0.005
Let b = -145 + 146.22. Let v = b + -1.273. What is v rounded to 2 decimal places?
-0.05
Suppose -2*d + 6*d - 160 = 0. Let y be ((-48)/d)/((-1)/(-460)). Let v be (8/6)/((-8)/y). Round v to the nearest 10.
90
Suppose 3*z - 2*z - 5*o - 21152 = 0, 4*o = -5*z + 105818. Let m = z - 13462. Round m to the nearest 1000.
8000
Suppose -3*k + 16 = -2. Let j be (-1)/2 + (-59999997)/k. Round j to the nearest 1000000.
-10000000
Let o = 76275715 + -76275804.550371. Let d = o + 85.55037054. Let p = 4 + d. Round p to 7 decimal places.
-0.0000005
Let s = 1.53 + -0.8. What is s rounded to one dp?
0.7
Let t = -529.9 + 501. What is t rounded to the nearest integer?
-29
Let y = 0.02 + 0.03. Let z = 2.85 - y. Let c = -2.800022 + z. What is c rounded to five decimal places?
-0.00002
Let u = 513240 + 3112402. Let w = u - 3625643.0999972. Let c = w + 1.1. Round c to six decimal places.
0.000003
Let d = -3.999999 - -4. What is d rounded to five dps?
0
Let t = 18.9 + -0.9. Let f = t + 17. Let j = -38.2 + f. Round j to 0 decimal places.
-3
Let h be (-3)/((-3)/(-11084)) + 2. Let v = -19182 - h. Round v to the nearest one thousand.
-8000
Let d = 4.3977 + -74.3928. Let n = -70 - d. Round n to three decimal places.
-0.005
Suppose 4*a - 3 - 13 = 0. Let y = a - 2. Suppose 0 = 5*j, y*v - j - j + 100000 = 0. What is v rounded to the nearest ten thousand?
-50000
Suppose -5*v - 94 = -6*v - d, 4*v - 352 = 2*d. Round v to the nearest 100.
100
Let d be (-17 + 5)*16*(-1950)/(-8). Round d to the nearest 1000.
-47000
Let f(m) = -1000*m**3 - m**2 + m + 6. Let g be f(3). What is g rounded to the nearest ten thousand?
-30000
Let u = 3.356 + 2916.644. Let k = -2899.045 + u. Let s = -21 + k. Round s to two dps.
-0.05
Let y = -21 + 21.0000109. Round y to six decimal places.
0.000011
Let u be 290002 - (-6 + -4)/(-5). What is u rounded to the nearest 100000?
300000
Let k = 1.36 - 0.08. Let a = k + -1.89. Let j = a - -0.08. What is j rounded to 1 dp?
-0.5
Suppose 1436852 = o + 82852. Round o to the nearest one hundred thousand.
1400000
Let g = 13.449 + 0.051. Round g to 0 decimal places.
14
Suppose 0 = -2*b + 5*r - 39000000, 3*b - 1893352 = -2*r - 60393352. What is b rounded to the nearest 1000000?
-20000000
Let r = 79 - 78.9896. Round r to 3 decimal places.
0.01
Let v be (1/2)/(2/(-22791404)). Let r = -3997851 - v. What is r rounded to the nearest one million?
2000000
Let k be (-25200004)/(-14) + (-2)/7. Round k to the nearest 100000.
1800000
Let g be 105002/(-5) - 11/((-110)/4). Round g to the nearest ten thousand.
-20000
Let r = 28.027 + -28. Let u = 0.0178 - r. Round u to 3 dps.
-0.009
Suppose 2*v + 3*k - 52 = 0, -4*k - k = -20. Suppose 3*x + v = 230. What is x rounded to the nearest 100?
100
Suppose -m = -2*m + 5. Suppose 0*x = -w - m*x + 720, -3*w - 4*x + 2116 = 0. Round w to the nearest one hundred.
700
Suppose -828 = -2*b - 170. What is b rounded to the nearest ten?
330
Let s = -0.1632 - -0.17. What is s rounded to 3 decimal places?
0.007
Let o = 0.234 - 83.934. Let l = o + 79. What is l rounded to zero dps?
-5
Let v = 0.3 + -1.1. Let z = v + -0.2. Let h = 0.85 + z. Round h to 1 dp.
-0.2
Let l = -885429 + -976612. Let j = -1862041.1999998 - l. Let x = j + 0.2. What is x rounded to six dps?
0
Let m = -0.1557 + 0.126. Round m to three decimal places.
-0.03
Let a = 0.6 - 0.6132. Round a to 3 decimal places.
-0.013
Let r = 2380951 + 1119049. What is r rounded to the nearest one million?
4000000
Let f = -0.98 + 0.7. Let y = -0.280069 - f. Round y to five decimal places.
-0.00007
Let l = 5.26 - 4.5. Let k = l + -0.11. Round k to one dp.
0.7
Let y = 0.358976398 + -176.359089398. Let q = -176 - y. What is q rounded to 5 decimal places?
0.00011
Let w = -1.307 + -7189.693. Let t = w + 7189.1036. Let k = t + 1.9. What is k rounded to 3 decimal places?
0.004
Let r = 0.5 - 0.484. Let h = -0.04 + r. Round h to two decimal places.
-0.02
Suppose 2*o + n + 0*n = -27596, 0 = -3*o - 4*n - 41384. What is o rounded to the nearest 1000?
-14000
Suppose -3*s + 0*s = t - 9, -s - t = -1. Suppose -5*p + s*f = -2*p - 10, -5*p - 3*f = 22. Let b be (16/(-5))/(p/(-55)). What is b rounded to the nearest 10?
-90
Let x = -78 - -78.242. Let u = x + -0.19. Round u to 2 dps.
0.05
Let p = 13.323 - 13.2. What is p rounded to 2 dps?
0.12
Let w = 47.1 - 7.1. Let u = 40.000085 - w. Round u to five decimal places.
0.00009
Let j = -31.999876 - -32. What is j rounded to 5 dps?
0.00012
Let r(h) = -h**3 + 5*h**2 - 1 + 2*h + 0*h**3 + h**2. Let d be r(5). What is d rounded to the nearest 10?
30
Let j = 1.793 - 1.726736. Let o = j - 45.035264. Let m = -45 - o. Round m to two dps.
-0.03
Suppose -4*x + i - 100522 = -i, -4*i = 12. Let t = -16632 - x. Round t to the nearest 1000.
9000
Let z(s) = -s + 2. Let r be z(0). Let x be 0/r + 3 + -3. Round x to 4 dps.
0
Let v = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
6045 (d) 1
a
What is the nearest to 1 in -2/79, 9, -14/15, 11?
-2/79
Which is the closest to 1? (a) 5/2 (b) -0.1 (c) -1/6 (d) 5 (e) -2/4293 (f) -19
e
Which is the nearest to -48? (a) 82 (b) 87 (c) -4
c
What is the nearest to 1/3 in 14, 2/7, -27/19, 1/5, 5?
2/7
What is the nearest to -1 in -2, 2, -2118, -0.0224?
-0.0224
What is the nearest to 3/4 in 10, 1, 0.8, -0.3, -23/6?
0.8
Which is the nearest to -3? (a) -43/4 (b) -86/29 (c) -0.1 (d) -0.3
b
What is the closest to -2/23 in 23, -3/4, 0.1, 408, -5, -3/8?
0.1
What is the closest to 2 in -2/7, -1, 0, 150, 0.0253?
0.0253
Which is the nearest to -0.2492? (a) -9 (b) 1 (c) 0.3 (d) 0
d
Which is the nearest to 7734? (a) -19 (b) 4 (c) -7 (d) 0
b
Which is the nearest to 1119? (a) -5 (b) 0.1371 (c) -1
b
Which is the closest to -0.35? (a) -3 (b) -283 (c) -0.4 (d) 8
c
What is the closest to 10 in 2/13, -0.1, 10, -594?
10
Which is the nearest to -2/5? (a) 0.14 (b) -64.6 (c) 0.7 (d) -0.4 (e) -0.24
d
What is the nearest to -36 in -3/2, -1, -57, -4/7?
-57
What is the closest to -0.1 in 2422, 3/13, -0.18?
-0.18
Which is the closest to 0.07? (a) 5/2 (b) 8839 (c) 1/2
c
Which is the closest to 1/2? (a) -0.1 (b) -3705 (c) 804
a
Which is the closest to 2? (a) -2/27 (b) -2/11 (c) 581 (d) -154 (e) -1
a
What is the nearest to 1/4 in 0.0103, 1655/28, -0.1?
0.0103
Which is the nearest to -46? (a) -4 (b) -9 (c) 337
b
What is the nearest to 1181 in 8/525, 1/2, 1?
1
Which is the nearest to 0.3? (a) -17 (b) -75/2 (c) 7 (d) -2/41
d
What is the closest to -0.08321 in -0.06, 7, 0?
-0.06
Which is the nearest to -0.1? (a) 2/7 (b) -0.1 (c) -23 (d) 4/7 (e) 6 (f) 2/49
b
What is the closest to -0.0492 in -5, 34, 0.14, 0.2, 0.3?
0.14
Which is the nearest to -637? (a) 1/124 (b) 1/4 (c) -3
c
Which is the closest to -1.586? (a) 0.2 (b) -0.8 (c) 4
b
What is the closest to -27 in 82, 156, 0.2?
0.2
What is the nearest to 66/5 in -2/43, -2/7, 0.004?
0.004
What is the closest to -33583 in 6, -7, -0.3?
-7
What is the nearest to 195 in 31, -1/4, 16?
31
Which is the nearest to -3? (a) 3 (b) 0.02 (c) -2 (d) -0.03369 (e) -46
c
What is the closest to -2/5 in -21/2, -1/28, 5, -4, 91?
-1/28
What is the nearest to -3 in 112225, 6, 5?
5
What is the closest to -2 in 2, -0.2, 25, 256675?
-0.2
What is the nearest to -0.1 in -90, 0.3, -134, -2.1, 0.2, 2/13?
2/13
What is the nearest to 1 in -1/4, -1551, 2/5, -5, 1/4?
2/5
Which is the nearest to 3.6? (a) 0.5 (b) -0.39 (c) 0 (d) 736
a
What is the closest to -202 in -1.1, 6, -2, 7.9?
-2
Which is the nearest to 18? (a) 0 (b) 6 (c) 44/9 (d) 2/65 (e) -1
b
Which is the nearest to 28926? (a) 0.4 (b) 0.01 (c) 22
c
Which is the nearest to -2108? (a) -4 (b) -8/43 (c) -2/3
a
Which is the nearest to 17/4? (a) 0.042 (b) 2/13 (c) 3 (d) 3.9 (e) 1
d
Which is the closest to -67? (a) 5 (b) 2/47 (c) 2/171 (d) -1
d
What is the closest to -11/56 in 4, -7, -4, 0.2, -0.2?
-0.2
Which is the closest to 3? (a) -0.017 (b) 3 (c) 3303 (d) 5 (e) -0.4
b
Which is the nearest to 43? (a) -0.14 (b) -14.02 (c) -0.3
a
Which is the closest to 9/4? (a) -158/389 (b) 2 (c) 4
b
Which is the nearest to 0? (a) 1.3 (b) -4/11 (c) 26 (d) -0.5 (e) 0
e
Which is the closest to -0.054? (a) 0.5 (b) 0.021 (c) 0.02924
b
Which is the nearest to 8862? (a) 2/9 (b) -6 (c) -4 (d) 3 (e) -24
d
Which is the nearest to 2/5? (a) 2 (b) -4/7 (c) 404 (d) -0.016 (e) -1
d
What is the closest to 10 in 0.3, -117/10, -4, 13, 3/2?
13
Which is the nearest to 3? (a) -69.1 (b) -2/1511 (c) 3/5
c
What is the closest to 14/9 in -52, 1, 8/9, 0.2?
1
Which is the nearest to 15078? (a) -5/3 (b) 3 (c) 1/2 (d) -2 (e) 5
e
Which is the nearest to 0? (a) -3 (b) -45 (c) -0.6 (d) -1423
c
Which is the closest to -106/33? (a) 4/3 (b) -6/5 (c) -5 (d) 7/3 (e) 2/5
c
What is the closest to 6 in -0.13
|
{
"pile_set_name": "DM Mathematics"
}
|
mainder when 1585542 is divided by 264257.
0
Calculate the remainder when 267377 is divided by 1061.
5
Calculate the remainder when 301164472 is divided by 2218.
2214
Calculate the remainder when 1097229 is divided by 5685.
24
Calculate the remainder when 32629266 is divided by 1553773.
33
What is the remainder when 449535 is divided by 224318?
899
Calculate the remainder when 68547175 is divided by 6231560.
15
What is the remainder when 331090 is divided by 946?
936
Calculate the remainder when 149406137 is divided by 1291.
1289
What is the remainder when 10939 is divided by 10922?
17
What is the remainder when 1291377 is divided by 4580?
4397
Calculate the remainder when 14216873 is divided by 14.
13
What is the remainder when 1661650 is divided by 130?
120
Calculate the remainder when 1779937 is divided by 7869.
1543
What is the remainder when 740375 is divided by 61697?
11
Calculate the remainder when 218953 is divided by 72916.
205
Calculate the remainder when 1915344 is divided by 423.
0
What is the remainder when 294741428 is divided by 23?
16
What is the remainder when 92150070 is divided by 1224?
6
What is the remainder when 140520506 is divided by 733?
8
What is the remainder when 278210525 is divided by 58?
11
What is the remainder when 10747207 is divided by 1741?
14
What is the remainder when 31380802 is divided by 27?
25
What is the remainder when 15703574 is divided by 3620?
14
Calculate the remainder when 89481487 is divided by 38.
37
What is the remainder when 448187 is divided by 2532?
23
What is the remainder when 243686 is divided by 48716?
106
Calculate the remainder when 89348 is divided by 1261.
1078
What is the remainder when 87837 is divided by 2253?
2223
Calculate the remainder when 1146742 is divided by 95560.
22
What is the remainder when 33006 is divided by 3976?
1198
What is the remainder when 459035 is divided by 114756?
11
Calculate the remainder when 1945961 is divided by 1742.
147
Calculate the remainder when 190572 is divided by 95267.
38
What is the remainder when 748863 is divided by 374359?
145
What is the remainder when 128302 is divided by 1135?
47
What is the remainder when 40579589 is divided by 21?
8
What is the remainder when 387276 is divided by 2278?
16
Calculate the remainder when 18956530 is divided by 618.
616
What is the remainder when 816810 is divided by 74?
72
What is the remainder when 90404 is divided by 3227?
48
Calculate the remainder when 7434 is divided by 3228.
978
What is the remainder when 181961 is divided by 181929?
32
What is the remainder when 294103 is divided by 147047?
9
Calculate the remainder when 110425 is divided by 108924.
1501
Calculate the remainder when 25572259 is divided by 13.
11
Calculate the remainder when 2801908 is divided by 466984.
4
What is the remainder when 170162 is divided by 363?
278
What is the remainder when 55236228 is divided by 183?
57
Calculate the remainder when 271494 is divided by 11312.
6
What is the remainder when 120407 is divided by 29981?
483
Calculate the remainder when 204669452 is divided by 12791840.
12
Calculate the remainder when 53967 is divided by 13480.
47
What is the remainder when 14721043 is divided by 204?
199
Calculate the remainder when 2148915 is divided by 204.
183
What is the remainder when 146827584 is divided by 492710?
4
What is the remainder when 1147922 is divided by 19132?
2
What is the remainder when 5060760 is divided by 23321?
103
Calculate the remainder when 14109707 is divided by 4703189.
140
What is the remainder when 465486 is divided by 587?
582
What is the remainder when 39326898 is divided by 26?
0
What is the remainder when 3340 is divided by 2848?
492
Calculate the remainder when 282570164 is divided by 839.
837
Calculate the remainder when 89196156 is divided by 29.
15
Calculate the remainder when 249261 is divided by 17798.
89
Calculate the remainder when 7402 is divided by 2252.
646
Calculate the remainder when 27906134 is divided by 28.
18
Calculate the remainder when 4049601 is divided by 884.
881
What is the remainder when 14264271 is divided by 2852846?
41
Calculate the remainder when 129400 is divided by 43127.
19
Calculate the remainder when 80026 is divided by 39868.
290
What is the remainder when 250469017 is divided by 1543?
1542
Calculate the remainder when 7200 is divided by 1767.
132
What is the remainder when 3448501 is divided by 426?
31
Calculate the remainder when 60144 is divided by 9453.
3426
What is the remainder when 10542686 is divided by 270?
266
What is the remainder when 535664023 is divided by 306?
7
What is the remainder when 907727 is divided by 46?
9
What is the remainder when 41938 is divided by 963?
529
What is the remainder when 5911515 is divided by 786?
9
What is the remainder when 106922 is divided by 627?
332
Calculate the remainder when 9950 is divided by 8016.
1934
What is the remainder when 419073485 is divided by 1595?
1590
What is the remainder when 260479 is divided by 5783?
244
Calculate the remainder when 274553 is divided by 137055.
443
Calculate the remainder when 62023151 is divided by 27.
20
What is the remainder when 7534 is divided by 683?
21
Calculate the remainder when 197839 is divided by 178.
81
What is the remainder when 2664238 is divided by 554?
52
Calculate the remainder when 800597 is divided by 706.
699
Calculate the remainder when 419947 is divided by 83840.
747
Calculate the remainder when 93330876 is divided by 21842.
10
What is the remainder when 330959 is divided by 951?
11
What is the remainder when 428271 is divided by 85621?
166
What is the remainder when 18310226 is divided by 111?
110
Calculate the remainder when 497713 is divided by 248510.
693
Calculate the remainder when 71599 is divided by 5044.
983
Calculate the remainder when 92310 is divided by 8101.
3199
What is the remainder when 69761932 is divided by 16?
12
Calculate the remainder when 40563125 is divided by 103742.
3
Calculate the remainder when 1234917 is divided by 1234890.
27
What is the remainder when 427848 is divided by 4274?
448
Calculate the remainder when 11442570 is divided by 10846.
40
What is the remainder when 171690499 is divided by 100?
99
What is the remainder when 946431 is divided by 240?
111
Calculate the remainder when 6768973 is divided by 842.
135
What is the remainder when 439178 is divided by 54893?
34
What is the remainder when 576642 is divided by 28832?
2
What is the remainder when 74083 is divided by 18496?
99
What is the remainder when 73041883 is divided by 8115763?
16
Calculate the remainder when 114882 is divided by 6372.
186
What is the remainder when 15002 is divided by 294?
8
Calculate the remainder when 584979 is divided by 88.
43
What is the remainder when 194123 is divided by 96949?
225
Calculate the remainder when 795168792 is divided by 7.
5
Calculate the remainder when 2285955 is divided by 1142965.
25
What is the remainder when 1093101 is divided by 1093003?
98
Calculate the remainder when 10784103 is divided by 148.
83
What is the remainder when 21519 is divided by 10733?
53
What is the remainder when 1506204 is divided by 1668?
0
What is the remainder when 787208 is divided by 7569?
32
What is the remainder when 143203 is divided by 138864?
4339
Calculate the remainder when 136467 is divided by 879.
222
Calculate the remainder when 10344689 is divided by 544.
529
What is the remainder when 17866 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
u(i) be the first derivative of -9*i**4/2 + 2*i**2 + 5. What is the second derivative of u(p) wrt p?
-108*p
Suppose 5*l = 2*p - 4, -2*p = -7*l + 4*l. Let j(z) = 3*z - 5. Let d(t) = -3*t + 6. Let m(n) = l*d(n) - 3*j(n). Differentiate m(q) with respect to q.
-3
Let k(c) = 2*c - 11. Suppose j + 32 = 5*j. Let o be k(j). Find the third derivative of 3*u**o - 18*u + 3*u**2 + 0*u**5 + 18*u wrt u.
180*u**2
Let g = -139/10 - -14. Let z(j) be the second derivative of -g*j**5 + 2*j + 1/2*j**3 + 0 + 0*j**2 + 0*j**4. What is the second derivative of z(p) wrt p?
-12*p
Let a(y) = y**3 - 3*y**2 + 2*y + 1. Let c be a(3). Find the third derivative of -3 - c - 2*w**4 + 10 + w**2 wrt w.
-48*w
Let w(s) be the third derivative of 0*s + 0*s**6 + 0*s**3 + s**2 + 1/210*s**7 + 0*s**5 + 0 - 1/12*s**4. Find the second derivative of w(o) wrt o.
12*o**2
Let l(j) be the second derivative of -7*j**4/6 + 4*j**2 + 8*j. What is the derivative of l(u) wrt u?
-28*u
Let n(u) = 9*u**4 + 10*u**2. Let j(p) = p**4 + p**2. Let d(w) = -2*j(w) - n(w). What is the third derivative of d(a) wrt a?
-264*a
Suppose 5*w = 25, 0 = -2*p - 4*w + 6 + 14. Let d(m) be the second derivative of -3*m + 1/2*m**3 + m**2 + p. What is the derivative of d(b) wrt b?
3
Let i(m) be the second derivative of -19*m**5/20 + 25*m**3/3 + 19*m. Find the second derivative of i(k) wrt k.
-114*k
Let p(s) = -17*s**2 + 11*s - 5. Let r(k) = 8*k**2 - 6*k + 2. Let x(z) = 2*p(z) + 5*r(z). What is the second derivative of x(o) wrt o?
12
Differentiate 0*p**3 - p**3 - 1 + 5 - 7*p**3 with respect to p.
-24*p**2
Let u(r) be the third derivative of -11*r**5/60 + 11*r**4/24 + 8*r**2. What is the second derivative of u(s) wrt s?
-22
Let n be -3*(2/6)/1. Let i = n - -4. Find the second derivative of 3*p - i*p + 2*p + 2*p**3 wrt p.
12*p
Suppose 4*o + 3*t - 3 = 7, 16 = 3*o - 2*t. What is the first derivative of 139*k - 5*k**o - 3 - 139*k wrt k?
-20*k**3
Let p(z) = -4*z**4 + 5*z**3 - 5*z**2 - 6*z + 5. Let r(b) = b**4 + b**3 - b**2 - b + 1. Let m(t) = -p(t) + 5*r(t). Find the second derivative of m(l) wrt l.
108*l**2
Let q be (-1 - -1) + 0/5. Let c = 3 - q. What is the second derivative of -2*h + 0*h**c - h**3 + 0*h wrt h?
-6*h
Let o(b) = b + 4. Let n be o(5). Suppose -4*j + n = 1. What is the second derivative of d + 3*d**5 - j*d**5 + 0*d**5 + d**5 wrt d?
40*d**3
Let a(p) be the third derivative of -p**8/84 - 5*p**4/24 - 7*p**2. Find the second derivative of a(x) wrt x.
-80*x**3
What is the first derivative of 1 + 69*n**2 + 4 - 68*n**2 wrt n?
2*n
Let l be -1 + 2 - -1 - -5. Let o be l/3 + 2/(-6). Find the second derivative of 3*f + f + o*f**2 - 3*f wrt f.
4
Let t(r) be the second derivative of -r**10/15120 - r**7/2520 - r**4/4 + 3*r. Let k(c) be the third derivative of t(c). Find the third derivative of k(d) wrt d.
-120*d**2
Let n(s) = s**3 - 5*s**2 + 4. Let u(t) = t**3 + t**2. Let i(o) = n(o) + 5*u(o). Find the first derivative of i(d) wrt d.
18*d**2
Let v(j) be the third derivative of -j**8/112 - j**5/10 - j**2. Find the third derivative of v(a) wrt a.
-180*a**2
Let s(t) be the third derivative of -t**7/42 - 7*t**3/6 - 6*t**2. Find the first derivative of s(n) wrt n.
-20*n**3
Let c(y) = -y**3 + 7*y**2 - 5*y - 6. Let f be c(6). Find the second derivative of 3*i - 5*i + i**5 + f + 0 wrt i.
20*i**3
Let t(x) be the first derivative of x**3/6 - x**2 - 2*x + 3. Let y(i) be the first derivative of t(i). Find the first derivative of y(v) wrt v.
1
Let s(k) be the second derivative of k**4/2 - 6*k**2 + 14*k. What is the first derivative of s(y) wrt y?
12*y
What is the derivative of 4 + 16 - 53 - 7*w**4 wrt w?
-28*w**3
Let n(h) be the second derivative of h**7/210 + h**4/6 - h**2 - h. Let j(x) be the first derivative of n(x). Find the second derivative of j(p) wrt p.
12*p**2
Let a(w) be the second derivative of -7*w**4/3 + 5*w**3/3 - 29*w. What is the second derivative of a(c) wrt c?
-56
Let y(x) = x**2 + 4*x - 2. Let j be y(-5). What is the third derivative of 0*f + 0*f**j - 3*f**2 + 0*f + 4*f**3 wrt f?
24
Let w(a) be the second derivative of -a**8/420 - a**4/6 + a**3/2 - 5*a. Let u(r) be the second derivative of w(r). Differentiate u(b) with respect to b.
-16*b**3
Let s(c) = 6*c**4 + 6*c**3 - c. Let f(q) = -6*q**4 - 7*q**3 + 2*q. Let l(m) = 6*f(m) + 7*s(m). What is the second derivative of l(j) wrt j?
72*j**2
Let m(c) be the third derivative of -c**8/1680 + c**5/24 + 5*c**4/24 - 5*c**2. Let g(d) be the second derivative of m(d). Differentiate g(x) wrt x.
-12*x**2
Let v(f) be the first derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 7*x**3 - 11*x**2 - 17*x - 5. Determine 5*b(h) - 3*d(h).
-h**3 + 3*h**2 + 6*h
Let r(g) = -5*g**2 + g - 5. Let z(f) = -9*f**2 + 123*f - 12. Calculate 2*r(s) - z(s).
-s**2 - 121*s + 2
Let w(u) = 379*u**2 - 10*u - 28. Let r(v) = 126*v**2 - 4*v - 10. What is -8*r(z) + 3*w(z)?
129*z**2 + 2*z - 4
Let f = 478 + -474. Let m(j) = -5*j - 13. Let q(w) = w + 1. Calculate f*q(t) + m(t).
-t - 9
Let h(x) = -69*x**3 + 11*x**2. Let c(y) = y**3 + y**2 + y + 1. Let u(q) = -24*q**3 - 8*q**2 - 10*q - 10. Let z(f) = 10*c(f) + u(f). Determine 2*h(r) - 11*z(r).
16*r**3
Let a(p) = 21*p**2 - 14*p - 7. Let c(l) = 36*l**2 - 27*l - 13. Determine -5*a(s) + 3*c(s).
3*s**2 - 11*s - 4
Let k(j) = -3*j**2 - 4*j - 5. Let r be 28/13 - (264/26 - 10). Let m(w) = 0*w + 4 + 3*w + 66*w**r - 63*w**2. Give 2*k(a) + 3*m(a).
3*a**2 + a + 2
Let y(d) = 7*d**2 + 3*d + 2. Let n(u) = -11*u**2 - 5*u - 3. Let o be 288/(-32) - (2 + -6). What is o*n(p) - 8*y(p)?
-p**2 + p - 1
Let t(q) = 10*q**2 + 4*q + 6. Let v(x) = 2*x**3 - 4*x**2 - x + 5. Let p be v(1). Let h(k) = -3*k**2 - 8 - k - p + 11 - 3. Calculate -14*h(u) - 4*t(u).
2*u**2 - 2*u + 4
Let h(n) = 4*n**3 - 7*n**2 + 123*n + 8. Let b(c) = -c**3 - c**2 - 21*c - 1. Determine -6*b(g) - h(g).
2*g**3 + 13*g**2 + 3*g - 2
Let y(q) = -12*q**3 + q**2 - 6. Suppose 508*a - 512*a = -20, 2*f + 4*a - 6 = 0. Let z(d) = -12*d**3 + d**2 - 7. Determine f*y(l) + 6*z(l).
12*l**3 - l**2
Let o = 506 - 507. Let q(a) be the first derivative of a + 1. Let y(b) = -2*b - 7. Give o*y(z) - 6*q(z).
2*z + 1
Let a(f) = -2*f - 2. Let j(p) = -1312*p + 8. What is 5*a(h) + j(h)?
-1322*h - 2
Let o(p) = -4*p**3 + 15*p**2 - 122*p + 7. Let k(u) = u**3 - 3*u**2 - 2*u - 1. What is -5*k(d) - o(d)?
-d**3 + 132*d - 2
Let v(b) = 13*b**2 + 5*b - 10. Let l(m) = 7*m**2 + 3*m - 5. Suppose 95 = -1465*p + 1446*p. Calculate p*l(o) + 3*v(o).
4*o**2 - 5
Let v(f) = -f**2 + 2. Let d(q) = -21*q**2 + 272*q + 17. What is d(c) - 9*v(c)?
-12*c**2 + 272*c - 1
Let i(j) = -22*j**2 + 8*j - 4. Let o(f) = 21*f**2 - 7*f + 5. Calculate 4*i(y) + 3*o(y).
-25*y**2 + 11*y - 1
Let y(x) = -3*x**2 - 6. Let p(j) = 14*j**2 - 9*j + 4. Let a = 234 + -243. Let q(u) = -3*u**2 + 2*u - 1. Let z(t) = a*q(t) - 2*p(t). What is -y(d) - 6*z(d)?
9*d**2
Let u(x) = -11*x**2 + x + 1. Let l(b) = 14*b**2 - 3*b + 376. Calculate -l(i) - 2*u(i).
8*i**2 + i - 378
Let g(c) = -c + 4. Let q(n) = -7*n**2 + 69*n - 110. Let s be q(8). Let k(p) = -p + 4. Determine s*k(t) + 7*g(t).
-t + 4
Let r(q) be the first derivative of -q**2/2 - 2*q + 25118. Let s(l) = 13 - 3 + 5*l + 1. Let j be (-32)/14 - (-2)/7. Determine j*s(h) - 11*r(h).
h
Let l(x) = 11*x**3 + x**2 - x - 1. Let b(h) = -10679*h**3 - 2*h**2 + 2*h + 2. Calculate b(s) + 2*l(s).
-10657*s**3
Let u = 534 - 540. Let p(x) = -x**2 - x - 1. Let c(y) be the first derivative of -4*y**3/3 - 4*y**2 - 7*y - 12. What is u*p(d) + c(d)?
2*d**2 - 2*d - 1
Let j(v) = 24*v**3 + v**2 - 11. Let u(x) = -x**2 + 101*x - 296. Let l be u(3). Let z(g) = -5*g**3 + 2. Determine l*j(n) - 11*z(n).
7*n**3 - 2*n**2
Let k(o) = -39*o**2 - 5*o - 14. Let d(n) = -9*n**2 - n - 1. Determine 4*d(a) - k(a).
3*a**2 + a + 10
Let p(d) = -44*d - 11. Suppose -3*z + 9 = b - 4*z, 2*z = -4*b - 6. Let v(a) = -9*a - 2. What is b*p(c) - 11*v(c)?
11*c
Let a(f) = 17*f**3 - 7*f**2 + 7*f + 11. Let s = -4273 - -4276. Let o = -4 - -11. Let r(x) = -8*x**3 + 3*x**2 - 3*x - 5. Calculate o*r(k) + s*a(k).
-5*k**3 - 2
Let v(l) = -140*l**2 - 350*l. Let g(n) = -11*n**2. Calculate -13*g(b) + v(b).
3*b**2 - 350*b
Let c(q) = 46*q**2 - 14*q - 1389. Let y(j) = 16*j**2 - 5*j - 464. What is -3*c(b) + 8*y(b)?
-10*b
|
{
"pile_set_name": "DM Mathematics"
}
|
20)/(sqrt(70)/sqrt(7)))/sqrt(4)*-6.
-6*sqrt(3) + 3
Simplify sqrt(171)/(-4*sqrt(1089) - sqrt(1089) - sqrt(1089)) + -2*-3*sqrt(19)*-1.
-397*sqrt(19)/66
Simplify 0 + -2 + sqrt(126)/(sqrt(7)*5 + sqrt(7))*3.
-2 + 3*sqrt(2)/2
Simplify -1 + ((1 + (sqrt(704)*-2 - sqrt(704)))*2 + (sqrt(704) - (sqrt(704) + 0 + sqrt(704))*3) + (sqrt(704) - 4*-2*sqrt(704)))**2.
-64*sqrt(11) + 2819
Simplify -1 + (1*(sqrt(1715) - sqrt(1715)*2) + sqrt(1715))/(1*sqrt(245)*-3).
-1
Simplify 1*(-2 + sqrt(325)) - ((4*sqrt(65) + sqrt(65) + sqrt(65))*-4)/sqrt(5).
-2 + 29*sqrt(13)
Simplify ((sqrt(114) + sqrt(114)*3)*-4)/(sqrt(96) + (sqrt(96) - sqrt(96)*-4 - sqrt(96)))*5.
-4*sqrt(19)
Simplify 4 + -2 + sqrt(128) + sqrt(128) + 2 + (3*(sqrt(128) + 0))**2.
16*sqrt(2) + 1156
Simplify -3*(-1 + -1 + sqrt(245)*1 + -3 + sqrt(245)*-2 + sqrt(245)).
15
Simplify (sqrt(50)/((sqrt(2) - (1*sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128))) + sqrt(2)))/(-2*(sqrt(80) + 3*sqrt(80))).
sqrt(5)/960
Simplify ((sqrt(77)*-1*-6 + 6*2*sqrt(77))/(-5*(sqrt(252)*1 + sqrt(252))))**2.
99/100
Simplify 3 + (((sqrt(1539) + sqrt(1539) + 0)*-6 + (sqrt(1539) - (sqrt(1539) + 1 + 1)))**2 - (-5 + (sqrt(1539) - (sqrt(1539) + sqrt(1539)*2*3)))**2).
-108*sqrt(19) + 166194
Simplify (3*sqrt(162)/sqrt(9))/(-1*sqrt(96)).
-3*sqrt(3)/4
Simplify -2*((sqrt(85) + 1*sqrt(85) + sqrt(85))*3)/(sqrt(50)/sqrt(40)).
-36*sqrt(17)
Simplify (-2*(2*sqrt(68)*-2 - sqrt(68) - sqrt(68)))/(-1*(1*sqrt(100) + sqrt(4))).
-2*sqrt(17)
Simplify sqrt(19) + -3 + -3 - (sqrt(931)*-6)**2 - ((sqrt(133) + (sqrt(133) - 3*sqrt(133)) - sqrt(133))/sqrt(7) - (4*(sqrt(19) + -1) - sqrt(19))**2).
-33335 - 21*sqrt(19)
Simplify ((1 + sqrt(325) + 4 + sqrt(325) - (sqrt(325) + 0 + sqrt(325) + 1)) + -5*(sqrt(325) - (sqrt(325) - 1*sqrt(325)) - sqrt(325))*3)**2.
16
Simplify 2*-5*((-2 + sqrt(1300))**2 + 1).
-13050 + 400*sqrt(13)
Simplify (2*sqrt(162) - (sqrt(8) + sqrt(2))*-4) + 1 + (sqrt(2) + -2 - sqrt(2))*-3.
7 + 30*sqrt(2)
Simplify (sqrt(33)/(sqrt(12) + sqrt(3)))**2 + ((1 + sqrt(11) + sqrt(11))*-3)**2 - (-5 + sqrt(11)*2 + 0).
34*sqrt(11) + 3701/9
Simplify (5*sqrt(224)/sqrt(4)*6)/(sqrt(40)/((sqrt(320) - (sqrt(320) + -1*sqrt(320))) + sqrt(320))).
480*sqrt(7)
Simplify 3 + 0 + sqrt(272) + 2 + sqrt(153) + 0.
5 + 7*sqrt(17)
Simplify -1*sqrt(252) + -4 + (sqrt(7) + -3*(5 + sqrt(7)))*2.
-34 - 10*sqrt(7)
Simplify sqrt(500) + 0 + sqrt(45) + 2 + -5 + 2 + -2.
-3 + 13*sqrt(5)
Simplify ((3*sqrt(19)*-3 + (sqrt(19) - (sqrt(76) + -2)))*-1*2)**2.
-160*sqrt(19) + 7616
Simplify sqrt(204)/((sqrt(96) - (sqrt(96) + (sqrt(96)*-2 - sqrt(96))))/sqrt(8))*5 + (sqrt(1088) + 0 + sqrt(1088) - (sqrt(153))**2*3).
-459 + 53*sqrt(17)/3
Simplify 3 + sqrt(40)/sqrt(72) - (((sqrt(540)*-5)/sqrt(12))/sqrt(9))**2.
-122 + sqrt(5)/3
Simplify -5*-2*((0 + sqrt(1700) - sqrt(1700)) + 5 - (sqrt(1700) - (-3 + sqrt(1700) + 3)))**2.
250
Simplify ((sqrt(660) + -1*sqrt(660))/sqrt(12))/sqrt(5) + sqrt(88)/(3*sqrt(8)*-1).
-sqrt(11)/3
Simplify (-4*((sqrt(24)/sqrt(2) - sqrt(12))*-4)/(sqrt(64)*-2 - sqrt(4))*-3)**2.
0
Simplify 1 + 5 + sqrt(28) - (sqrt(7) + sqrt(42)/sqrt(24) + sqrt(7) - (1 + sqrt(1008)))**2.
-2507/4 - 17*sqrt(7)
Simplify ((2*sqrt(84)*4 + sqrt(84))/sqrt(7))/(6*sqrt(100)*6).
sqrt(3)/20
Simplify (sqrt(190) - sqrt(190)*-1*-4)/(-3*(sqrt(40)/sqrt(4) - sqrt(10)) - sqrt(10)) + (-1*sqrt(95)*2)/sqrt(5)*-5.
13*sqrt(19)
Simplify (sqrt(280)/(sqrt(288) - 2*sqrt(288)))/(sqrt(343) + (sqrt(343) + sqrt(343)*-1)*4 + sqrt(343) + sqrt(343)).
-sqrt(5)/126
Simplify (-2*4*(sqrt(7) + 3))**2 - (sqrt(70)*-1)/sqrt(10)*4.
1024 + 388*sqrt(7)
Simplify (sqrt(810)*-2 + sqrt(810))/(sqrt(200) - 2*sqrt(200)).
9*sqrt(5)/10
Simplify -2*(sqrt(405) + 0)**2 - (sqrt(405) + -1)**2*-4.
-72*sqrt(5) + 814
Simplify ((sqrt(304) - (sqrt(304) + sqrt(304) + 1 + 1 + sqrt(304))) + -2 - -4*(sqrt(304) + sqrt(304) + -2)*3)**2.
-4928*sqrt(19) + 147920
Simplify (4 + sqrt(80)*3*-2)**2*-1.
-2896 + 192*sqrt(5)
Simplify ((sqrt(45) - 2*sqrt(45)*-2) + 2*sqrt(720) + sqrt(45))/(sqrt(27)/(sqrt(3)*1*-6 - sqrt(3))).
-98*sqrt(5)
Simplify ((sqrt(600)*2)/(sqrt(3)*-4*-1))**2.
50
Simplify (-2*(sqrt(1573) + 0) - sqrt(1573) - (1*sqrt(130))/sqrt(10)*6)**2.
19773
Simplify (sqrt(6897) - (sqrt(6897) + (-4*sqrt(6897) - sqrt(6897))*-3))/(sqrt(3)*-2*2 + -3*1*sqrt(3)).
165*sqrt(19)/7
Simplify (sqrt(196) - (sqrt(196)*-3 - sqrt(196)))/sqrt(2) + (5*sqrt(4)/sqrt(2) - sqrt(2)) + sqrt(2) + -1*sqrt(8).
38*sqrt(2)
Simplify ((sqrt(2736) + 4 - sqrt(2736)) + -1)**2 + ((-3 + sqrt(2736) + 1 - sqrt(2736)) + sqrt(2736))**
|
{
"pile_set_name": "DM Mathematics"
}
|
3*(w - 1)**2*(w + 3)
What is d in 4/5*d**2 - 12*d - 64/5 = 0?
-1, 16
Let t be 4*-1*4*(-45)/432. Find a such that -1/3*a**5 + 2*a**2 + 0*a + t*a**3 + 0 - 2/3*a**4 = 0.
-3, -1, 0, 2
Suppose -5*k + 2*u + 48 = 0, 0 = 3*k - 2*u - u - 27. Factor -3*y**3 - 2*y**3 + k*y**3 + 4*y - 9*y**3.
-4*y*(y - 1)*(y + 1)
Let d(z) be the third derivative of 9/100*z**5 + 0*z**3 + 0 + 0*z + 12*z**2 + 3/560*z**8 - 9/200*z**6 - 1/350*z**7 - 1/20*z**4. Suppose d(v) = 0. What is v?
-2, 0, 1/3, 1
Let g(t) be the second derivative of -t**6/105 - 3*t**5/70 + 3*t - 15. Solve g(p) = 0.
-3, 0
Suppose 3*q + 4*x = 2*x - 79, 3*q + 5*x = -85. Let z be 2*(-6)/(48/q). Factor -45/4*k**3 - 13/2*k**2 + z*k**4 + 9*k - 2.
(k - 2)*(k + 1)*(5*k - 2)**2/4
Let u(l) = l**3 - 8*l**2 - 26*l - 5. Let t be u(11). Suppose 67*y**3 - 6*y**4 + t*y**3 - 147*y**3 + 2*y**5 = 0. What is y?
-1, 0, 4
Let m(y) be the first derivative of 7*y**6/24 - 3*y**5/4 + 5*y**4/12 - 7*y**2 - 11. Let r(i) be the second derivative of m(i). Let r(v) = 0. What is v?
0, 2/7, 1
Let g(r) = -r**2 + 10*r + 13. Let d be g(11). Suppose -4*b**2 + 2*b**2 + 4*b**2 + 2*b**d - 4*b**4 = 0. Calculate b.
-1, 0, 1
Let f = 43 - 38. Factor -10*c - f*c**3 + 20*c + 5*c**2 - 3*c + 15 + 18*c.
-5*(c - 3)*(c + 1)**2
Suppose -2*q = -6, q = 4*s + 4*q - 293. Let 5*u**3 - s*u + 71*u - 4*u**3 + 4*u**2 = 0. What is u?
-4, 0
Suppose 4 + 15 = 5*n - 2*t, 0 = -2*n + 5*t + 16. Determine p so that -p + p**n - 2*p**2 + 8 + p**3 + 3*p - 10*p = 0.
-2, 1, 2
Let l(x) = 5*x**3 + 195*x**2 + 185*x - 395. Let t(u) = 5*u**3 + 194*u**2 + 185*u - 396. Let r(h) = -6*l(h) + 5*t(h). Determine m so that r(m) = 0.
-39, -2, 1
Let a(o) be the second derivative of -o**5/90 + o**4/18 + 10*o**3/27 - 8*o**2/3 - 98*o - 1. Factor a(b).
-2*(b - 4)*(b - 2)*(b + 3)/9
Suppose 5*x - 8 = x. Suppose -7 + 5 = -3*j - 5*r, j + 5*r + 6 = 0. Factor x*c - j*c**2 - c**3 - c**3 - 4*c.
-2*c*(c + 1)**2
Let -9*b**4 + 28*b**2 + 36*b**2 - 19*b**2 - 12*b - 24*b**3 = 0. Calculate b.
-4, 0, 1/3, 1
Let a = 21 - 4. Let b = a + -9. Factor -8*r - 5*r**3 - 1 + 3*r**3 - b*r**2 + 1.
-2*r*(r + 2)**2
Let s = 75964/3 - 25320. What is a in 64/3*a + 32/3*a**2 + s*a**5 - 4/3*a**4 - 64/3 - 32/3*a**3 = 0?
-2, 1, 2
Let w(n) = 3*n**2 - 15*n - 6. Let q = -32 + 25. Let v(h) = -3*h**2 + 16*h + 7. Let i(g) = q*w(g) - 6*v(g). Factor i(d).
-3*d*(d - 3)
Let y(c) be the second derivative of -c**7/1260 + c**6/135 - 8*c**3/3 + 17*c. Let r(b) be the second derivative of y(b). Suppose r(l) = 0. Calculate l.
0, 4
Suppose -4 = -4*r - 4*a, 0 = 2*r - 0*a - 2*a - 6. Factor 64 - 10*o + 76*o - 12*o**2 - 2*o**4 - r*o - 14*o**3.
-2*(o - 2)*(o + 1)*(o + 4)**2
Suppose 7*l - 3*l = v + 4, -2*v = -3*l + 28. Let u = v - -22. Determine t so that 3/2*t + 3/2*t**u - 3/2 - 3/2*t**3 = 0.
-1, 1
Let k = -98 - -144. Let h be (-10)/42 + k/69. Factor 6/7 - h*v**2 + 3/7*v.
-3*(v - 2)*(v + 1)/7
Let s(b) = -8*b**2 - 184*b - 588. Let i(y) = 3*y**2 + 73*y + 235. Let o(p) = 12*i(p) + 5*s(p). Factor o(j).
-4*(j + 5)*(j + 6)
Let i(n) be the first derivative of -n**3 + 6*n**2 - 9*n + 62. Suppose i(m) = 0. Calculate m.
1, 3
Solve 89*t**3 + 7*t**5 + 46*t**4 + 53212 + 18*t**2 - 27*t - 53212 - 5*t**3 = 0 for t.
-3, -1, 0, 3/7
Let c(i) be the second derivative of -i**7/2520 - i**6/360 - i**5/120 - i**4/72 - 11*i**3/6 - 13*i. Let d(l) be the second derivative of c(l). Factor d(v).
-(v + 1)**3/3
Let q(g) = 26*g**3 - 100*g**2 + 72*g + 178. Let z(k) = -8*k**3 + 33*k**2 - 24*k - 59. Let c(h) = -6*q(h) - 20*z(h). Determine v, given that c(v) = 0.
-1, 2, 14
Let t(l) = -l**3 - 18*l**2 - 2*l - 20. Let n be t(-18). Factor n*w**2 - 4*w**3 - 8*w - 6*w**3 + 169*w**4 - 167*w**4.
2*w*(w - 2)**2*(w - 1)
Let i(m) = -m**3 - 2*m**2 + 3. Let b be i(0). Factor -k**4 - 7*k**b + 4*k**3 - 498*k + 497*k - 3*k**2.
-k*(k + 1)**3
Let q be 8 +
|
{
"pile_set_name": "DM Mathematics"
}
|
6*q + (-2)/(-2) prime?
False
Let s(n) = 2*n - 1. Let x(l) = -5*l + 1. Let t(c) = -7*s(c) - 3*x(c). Is t(6) prime?
False
Let i = 471 - 52. Is i a prime number?
True
Suppose 705 = 4*q + q. Is q composite?
True
Suppose -8*j + 20387 = 11*j. Is j a composite number?
True
Suppose 0 = 2*i + 1934 - 6712. Is i a prime number?
True
Suppose 28*p - 1081 = 27*p. Is p prime?
False
Let p(x) be the third derivative of x**6/120 + x**5/5 + 11*x**4/24 + 7*x**3/6 + 2*x**2. Let s be (-8)/2*(-10)/(-4). Is p(s) composite?
False
Suppose 0 = -0*w + 3*w - 15. Suppose -450 = -w*y + 115. Is y prime?
True
Let k = 3659 - 2296. Is k prime?
False
Is 1188/20 + (-4)/10 composite?
False
Let j(p) = p**2 - 9*p + 3. Let o be j(8). Let l(h) = h**2 + 7*h + 7. Let d be l(o). Is 7 - 0/(d + 2) a composite number?
False
Let n(x) = 3*x**2 + 3*x + 1. Let h = 6 + -9. Is n(h) a prime number?
True
Suppose 30*x - 21944 = 22*x. Is x composite?
True
Let f = -419 + 785. Suppose 0 = -5*k - g + f, 3*g + 0*g = -12. Is (k/(-8))/(2/(-8)) composite?
False
Suppose 12490 = 5*q + 5*g, 9*q - 7*q + 3*g = 4991. Is q composite?
False
Suppose 2*d + 3*j = j - 112, 0 = 4*d + 5*j + 229. Let l = 118 + d. Is l a prime number?
True
Suppose -z + 35 = 2*z - 2*b, 52 = 5*z + 3*b. Is (z/33)/(2/762) a composite number?
False
Let q be (-2 - 2)/(3 + -4). Let k(n) = n**2 + 2*n + 2. Is k(q) composite?
True
Suppose 427 = -2*w + 2*d + 3*d, 5*w + 1111 = -2*d. Let p be (0 + 0)/2 - w. Let z = p + -136. Is z prime?
False
Let p = -3 + 3. Suppose -h + p = -2. Suppose 2*j - 18 = -a, h*a - j - 48 = -2*j. Is a prime?
False
Suppose -3*l - 2*g - 221 = -4*l, 0 = 3*l - 5*g - 664. Is l a prime number?
True
Let t(o) = o**2 - 7*o + 2. Let y be t(7). Suppose 4*w + y*f + f - 5 = 0, 4*f = 5*w - 14. Suppose -w*m - 187 = -3*m. Is m a prime number?
False
Suppose l + 2*z + 1 = -5, l - 2*z = -6. Let a be 47/(-3) - 4/l. Is ((-5)/a)/(2/114) composite?
False
Let p = -166 + 289. Is p prime?
False
Suppose 5*y - 2*a + 1 = -1, -3*y = -5*a - 14. Is 25176/32 - y/8 a prime number?
True
Suppose 2*p = p. Suppose -3*w = -2*t - 3 - 4, p = -t - w + 9. Suppose 5 - 513 = -t*q. Is q prime?
True
Let c(f) = f**2 - 4*f + 2. Let p be c(3). Let z be (-402)/(-9) - p/3. Suppose 15 = -5*r - 2*t + 59, 5*t + z = 3*r. Is r a prime number?
False
Let b = 7760 - 12164. Is (-4)/14 - b/28 composite?
False
Suppose q + 4 = -2*c, -2*c + 4 = -0. Let h be -1 + (-1 + q)*-2. Suppose h = m + 2*x, -m - 59 = -4*m - 4*x. Is m prime?
False
Suppose -3*g = -0*g - 6, -2*t + 3*g + 756 = 0. Is t composite?
True
Let j(y) = 2 - 3*y + 5*y - 3. Let u be j(6). Let q = u + 15. Is q composite?
True
Let n(u) = u**2 + 6*u + 2. Let l = -9 + 3. Let h be n(l). Suppose 0 = -h*f + 118 - 8. Is f prime?
False
Let z(j) = -j**3 + 5*j**2 + 4*j + 8. Let i be z(6). Let b = i - -6. Suppose b*y = 6, 2*y + 113 = p - 0*y. Is p a composite number?
True
Suppose -4*w + 72 + 300 = 0. Is w prime?
False
Suppose 5*p + c = 9237, -p = -5*p + 4*c + 7380. Is p a prime number?
True
Let i = 105 - 11. Let j = 137 - i. Is j prime?
True
Let w(s) = 6*s - 14. Let h be w(13). Suppose -4*d - 46 = 106. Let a = d + h. Is a composite?
True
Let j(f) be the second derivative of 3*f**4/4 + f**3/3 + f. Is j(3) prime?
False
Suppose -m = 2*x - 3673 + 1171, -2*x + 2490 = -2*m. Is x a prime number?
True
Let g be 1/1 + (-16)/(-4). Suppose 5 = 2*m + 5*c, -1 - 3 = -g*m - 4*c. Suppose 2*l - 7*l - t + 1085 = m, -t - 217 = -l. Is l a prime number?
False
Let k = 771 - 440. Is k a composite number?
False
Let n be -2 - -87*(-3)/(-3). Let t = -18 + n. Is t composite?
False
Suppose -q + 4 = -0*q. Suppose q*n - 430 = -5*x, 204 = 4*x + 2*n - 140. Is x a composite number?
True
Suppose -a = 3 - 9. Let m(b) be the third derivative of b**4/4 + b**3/6 + 7*b**2. Is m(a) composite?
False
Let h(c) = 2*c**2 + 5*c**2 + 5*c**3 + 7*c - 4*c**3 - 4*c + 7. Let s be h(-6). Suppose 0 = -2*j - 3 + s. Is j a composite number?
False
Let h = 484 - 249. Is h composite?
True
Let t(q) = q**3 + 13*q**2 + 11*q - 7. Let o be t(-12). Suppose 4*v - 256 = -o*u, -2*v - u - 3*u = -122. Suppose g + 0*g = v. Is g composite?
True
Is 3 + 46/(-14) - (-50380)/28 a composite number?
True
Suppose b + 2 = 37. Suppose -5*n = -10*n + b. Is 75/7 + 2/n a prime number?
True
Let h(o) = 5*o + 6. Suppose -6 = -f + 2*f. Let k(t) = 4*t + 5. Let y(x) = f*h(x) + 7*k(x). Is y(-4) a composite number?
False
Let x = -966 + 1621. Suppose 2*o = -o + 6. Suppose -7*j + o*j + x = 0. Is j composite?
False
Let u(i) be the first derivative of 2*i**3/3
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the remainder when 106 is divided by 93.
13
Calculate the remainder when 855 is divided by 33.
30
What is the remainder when 269 is divided by 156?
113
What is the remainder when 608 is divided by 122?
120
Calculate the remainder when 1518 is divided by 76.
74
Calculate the remainder when 253 is divided by 48.
13
What is the remainder when 7 is divided by 2?
1
Calculate the remainder when 421 is divided by 71.
66
Calculate the remainder when 60 is divided by 3.
0
Calculate the remainder when 962 is divided by 249.
215
Calculate the remainder when 221 is divided by 36.
5
What is the remainder when 2062 is divided by 6?
4
What is the remainder when 1964 is divided by 759?
446
What is the remainder when 55 is divided by 18?
1
Calculate the remainder when 1087 is divided by 11.
9
What is the remainder when 4176 is divided by 199?
196
Calculate the remainder when 11568 is divided by 21.
18
What is the remainder when 735 is divided by 16?
15
What is the remainder when 387 is divided by 26?
23
Calculate the remainder when 3547 is divided by 68.
11
What is the remainder when 38021 is divided by 39?
35
What is the remainder when 186 is divided by 45?
6
Calculate the remainder when 701 is divided by 137.
16
Calculate the remainder when 216 is divided by 16.
8
Calculate the remainder when 453 is divided by 57.
54
Calculate the remainder when 4737 is divided by 20.
17
Calculate the remainder when 797 is divided by 34.
15
Calculate the remainder when 437 is divided by 107.
9
What is the remainder when 20 is divided by 13?
7
Calculate the remainder when 173 is divided by 25.
23
Calculate the remainder when 24 is divided by 15.
9
What is the remainder when 793 is divided by 38?
33
Calculate the remainder when 831 is divided by 24.
15
Calculate the remainder when 269 is divided by 135.
134
What is the remainder when 4099 is divided by 41?
40
Calculate the remainder when 2319 is divided by 129.
126
What is the remainder when 85 is divided by 16?
5
Calculate the remainder when 105 is divided by 17.
3
Calculate the remainder when 1058 is divided by 53.
51
Calculate the remainder when 200 is divided by 48.
8
Calculate the remainder when 450 is divided by 401.
49
Calculate the remainder when 12416 is divided by 270.
266
Calculate the remainder when 183 is divided by 92.
91
Calculate the remainder when 1149 is divided by 96.
93
What is the remainder when 138 is divided by 35?
33
Calculate the remainder when 743 is divided by 185.
3
Calculate the remainder when 2055 is divided by 172.
163
Calculate the remainder when 334 is divided by 90.
64
Calculate the remainder when 42 is divided by 29.
13
Calculate the remainder when 80 is divided by 31.
18
Calculate the remainder when 990 is divided by 4.
2
Calculate the remainder when 253 is divided by 27.
10
What is the remainder when 19 is divided by 12?
7
What is the remainder when 10 is divided by 3?
1
Calculate the remainder when 31 is divided by 5.
1
Calculate the remainder when 1042 is divided by 451.
140
What is the remainder when 71 is divided by 18?
17
What is the remainder when 2156 is divided by 15?
11
What is the remainder when 823 is divided by 273?
4
Calculate the remainder when 90 is divided by 22.
2
What is the remainder when 3096 is divided by 6?
0
Calculate the remainder when 8606 is divided by 21.
17
What is the remainder when 1893 is divided by 143?
34
What is the remainder when 2233 is divided by 279?
1
Calculate the remainder when 138 is divided by 25.
13
What is the remainder when 181 is divided by 105?
76
What is the remainder when 268 is divided by 57?
40
What is the remainder when 4073 is divided by 1018?
1
What is the remainder when 1349 is divided by 27?
26
Calculate the remainder when 1758 is divided by 575.
33
What is the remainder when 132 is divided by 7?
6
Calculate the remainder when 473 is divided by 9.
5
What is the remainder when 3969 is divided by 34?
25
What is the remainder when 1158 is divided by 17?
2
Calculate the remainder when 476 is divided by 329.
147
Calculate the remainder when 343 is divided by 23.
21
Calculate the remainder when 1126 is divided by 34.
4
Calculate the remainder when 30995 is divided by 42.
41
Calculate the remainder when 1254 is divided by 47.
32
What is the remainder when 19 is divided by 19?
0
What is the remainder when 162 is divided by 44?
30
What is the remainder when 103 is divided by 26?
25
What is the remainder when 224 is divided by 33?
26
Calculate the remainder when 1529 is divided by 21.
17
Calculate the remainder when 6989 is divided by 304.
301
What is the remainder when 830 is divided by 13?
11
Calculate the remainder when 224 is divided by 154.
70
What is the remainder when 985 is divided by 975?
10
What is the remainder when 6 is divided by 4?
2
What is the remainder when 293 is divided by 8?
5
Calculate the remainder when 242 is divided by 7.
4
What is the remainder when 1994 is divided by 661?
11
What is the remainder when 1956 is divided by 74?
32
Calculate the remainder when 124 is divided by 14.
12
Calculate the remainder when 131 is divided by 51.
29
Calculate the remainder when 5691 is divided by 219.
216
What is the remainder when 269 is divided by 54?
53
Calculate the remainder when 143 is divided by 67.
9
What is the remainder when 510 is divided by 19?
16
What is the remainder when 1253 is divided by 314?
311
Calculate the remainder when 137 is divided by 63.
11
Calculate the remainder when 97 is divided by 5.
2
What is the remainder when 77 is divided by 27?
23
Calculate the remainder when 116 is divided by 23.
1
What is the remainder when 165 is divided by 46?
27
What is the remainder when 210 is divided by 71?
68
Calculate the remainder when 196 is divided by 33.
31
Calculate the remainder when 351 is divided by 34.
11
Calculate the remainder when 270 is divided by 56.
46
What is the remainder when 239 is divided by 11?
8
Calculate the remainder when 1393 is divided by 5.
3
Calculate the remainder when 162 is divided by 55.
52
What is the remainder when 8312 is divided by 99?
95
What is the remainder when 54 is divided by 22?
10
What is the remainder when 362 is divided by 69?
17
What is the remainder when 435 is divided by 211?
13
What is the remainder when 167 is divided by 109?
58
What is the remainder when 177 is divided by 167?
10
What is the remainder when 625 is divided by 18?
13
What is the remainder when 790 is divided by 99?
97
What is the remainder when 271 is divided by 4?
3
What is the remainder when 107 is divided by 23?
15
Calculate the remainder when 5447 is divided by 116.
111
Calculate the remainder when 1626 is divided by 48.
42
What is the remainder when 17 is divided by 9?
8
Calculate the remainder when 243 is divided by 66.
45
Calculate the remainder when 38 is divided by 26.
12
What is the remainder when 528 is divided by 137?
117
Calculate the remainder when 1181 is divided by 16.
13
What is the remainder when 2715 is divided by 80?
75
What is the remainder when 3399 is divided by 148?
143
Calculate the remainder when 131 is divided by 16.
3
Calculate the remainder when 5183 is divided by 13.
9
Calculate the remainder when 42 is divided by 22.
20
What is the remainder when 3581 is divided by 47?
9
What is the remainder when 222 is divided by 36?
6
What is the remainder when 915 is divided by 34?
31
What is the remainder when 1055 is divided by 349?
8
Calculate the remainder when 253 is divided by 11.
0
What is the remainder when 67 is divided by 26?
15
What is the remainder when 89 is divided by 8?
1
What is the remainder when 863 is divided by 269?
56
What is the remainder when 131 is divided by 9?
5
What is the remainder when 195 is divided by 40?
35
Calculate the remainder when 1403 is divided by 13.
12
What is the remainder when 413 is divided by 23?
22
What is the remainder when 46 is divided by 45?
1
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
n denominator of -97/120 and 53/9060?
18120
What is the least common multiple of 5590 and 16770?
16770
What is the common denominator of 61/1800 and 67/45?
1800
Calculate the lowest common multiple of 30 and 7312.
109680
Find the common denominator of -33/1040 and -41/35490.
283920
What is the least common multiple of 340680 and 46760?
2384760
Find the common denominator of -173/2670 and -97/356.
5340
What is the least common multiple of 5664 and 1192?
843936
What is the common denominator of 63/1184 and 17/196100?
1568800
What is the common denominator of -74/433875 and 79/39?
433875
What is the smallest common multiple of 240 and 18?
720
What is the common denominator of -27/16 and 113/61820?
247280
Calculate the smallest common multiple of 33822 and 197295.
1183770
What is the least common multiple of 6 and 495906?
495906
Find the common denominator of -85/1792 and 63/718336.
5028352
Find the common denominator of -33/640 and 7/136.
10880
Calculate the common denominator of -14/2295 and 82/14229.
71145
What is the common denominator of -91/36 and -13/1098?
2196
Calculate the common denominator of 9/16 and -91/24116.
96464
What is the smallest common multiple of 8 and 8790488?
8790488
Calculate the common denominator of 85/276486 and 55/504.
3317832
What is the least common multiple of 2 and 102805?
205610
Calculate the common denominator of -47/57000 and 80/2451.
2451000
What is the smallest common multiple of 51429 and 33201?
2622879
Calculate the lowest common multiple of 203005 and 55365.
609015
Find the common denominator of 93/710 and -19/316.
112180
What is the lowest common multiple of 56 and 84707?
677656
Calculate the lowest common multiple of 5376 and 1232.
59136
What is the common denominator of -149/204 and -25/1325808?
22538736
What is the least common multiple of 19880 and 5964?
59640
What is the common denominator of -17/1524 and -61/48006?
96012
Find the common denominator of 121/2912 and 43/2912.
2912
Find the common denominator of 127/100880 and -77/776.
100880
Calculate the least common multiple of 12 and 197154.
394308
Find the common denominator of 179/3480 and 61/44312.
664680
What is the lowest common multiple of 1488 and 78?
19344
Calculate the common denominator of 46/279 and -21/43028.
387252
What is the smallest common multiple of 5544 and 4719?
792792
What is the common denominator of -58/29421 and -61/99?
323631
What is the common denominator of -97/1374 and -67/2290?
6870
What is the least common multiple of 724 and 23168?
23168
Calculate the least common multiple of 148428 and 10773.
1335852
Find the common denominator of 139/1344 and 103/32496.
909888
What is the lowest common multiple of 58515 and 7050?
585150
What is the common denominator of -37/14 and 37/48937?
97874
What is the smallest common multiple of 2649 and 76821?
76821
What is the least common multiple of 172306 and 2559?
516918
What is the lowest common multiple of 234624 and 64?
234624
What is the least common multiple of 19400 and 1400?
135800
Calculate the common denominator of 31/82368 and 8/195.
411840
What is the smallest common multiple of 1610 and 8250?
1328250
Find the common denominator of -5/6 and 109/600.
600
What is the least common multiple of 53586 and 4?
107172
Find the common denominator of -25/71994 and 97/48.
575952
What is the common denominator of 20/151687 and 81/4?
606748
What is the common denominator of 25/8232 and -95/55076?
2313192
Calculate the common denominator of 73/7192 and 85/5394.
21576
What is the smallest common multiple of 63948 and 3650?
1598700
What is the least common multiple of 34600 and 72?
311400
Calculate the least common multiple of 3872 and 223608.
894432
Calculate the smallest common multiple of 604232 and 4.
604232
Calculate the smallest common multiple of 84 and 264.
1848
Calculate the common denominator of 39/220 and 89/102776.
5652680
What is the common denominator of 83/8426 and 35/454238?
4996618
What is the common denominator of 23/390 and 21/9685?
58110
Calculate the least common multiple of 820953 and 63.
820953
Calculate the common denominator of -47/16233 and 35/2319.
16233
What is the least common multiple of 21528 and 48438?
193752
Calculate the least common multiple of 141432 and 1245.
707160
Calculate the lowest common multiple of 248532 and 41422.
248532
What is the smallest common multiple of 11304 and 64998?
259992
Calculate the common denominator of 25/119952 and -41/1584.
1319472
Calculate the common denominator of 49/16328 and -15/69394.
277576
What is the smallest common multiple of 5244 and 108?
47196
What is the lowest common multiple of 8296 and 204?
24888
Calculate the common denominator of -41/316 and -77/32232.
32232
Calculate the common denominator of -89/70932 and 113/4626.
212796
Calculate the smallest common multiple of 640 and 62784.
627840
Calculate the common denominator of 143/984 and -53/64.
7872
Calculate the common denominator of -17/756 and -85/124656.
1121904
Calculate the common denominator of 46/355 and -41/23643.
118215
Calculate the lowest common multiple of 2856 and 424.
151368
What is the common denominator of 99/142 and -16/34293?
68586
Calculate the least common multiple of 5420 and 200.
54200
What is the common denominator of -61/33792 and 107/2816?
33792
Find the common denominator of -69/160 and -31/344900.
2759200
Calculate the least common multiple of 57497 and 15681.
172491
What is the least common multiple of 1600 and 32?
1600
Calculate the least common multiple of 15444 and 2288.
61776
Calculate the lowest common multiple of 5 and 4854.
24270
Calculate the least common multiple of 430 and 4128.
20640
What is the lowest common multiple of 1352 and 46020?
1196520
What is the common denominator of -29/172654 and -81/6574?
3280426
Calculate the smallest common multiple of 223 and 9.
2007
What is the common denominator of 101/7710 and -143/168?
215880
Calculate the smallest common multiple of 1455 and 55872.
279360
Calculate the lowest common multiple of 20 and 200.
200
Calculate the least common multiple of 72 and 72036.
144072
What is the common denominator of -37/2763 and -19/133545?
400635
What is the least common multiple of 20 and 207528?
1037640
What is the smallest common multiple of 1488 and 3968?
11904
What is the common denominator of -44/67 and -62/16415?
16415
Calculate the common denominator of 31/1101751 and -35/6.
6610506
Calculate the common denominator of -43/26 and -27/9607.
19214
Calculate the lowest common multiple of 121 and 325.
39325
Calculate the common denominator of -25/33196 and 73/32.
265568
Find the common denominator of 62/1155 and -41/428820.
4717020
Calculate the smallest common multiple of 8890 and 508.
17780
Calculate the lowest common multiple of 8664 and 380.
43320
What is the common denominator of -37/1520 and -53/6320?
120080
Find the common denominator of 37/48 and 115/1704.
3408
Find the common denominator of -
|
{
"pile_set_name": "DM Mathematics"
}
|
rm of -39, -44, -61, -96, -155, -244?
-j**3 + 2*j - 40
What is the l'th term of 14, 4, 8, 32, 82, 164, 284?
l**3 + l**2 - 20*l + 32
What is the k'th term of 15, 18, 9, -18, -69, -150, -267?
-k**3 + 10*k + 6
What is the y'th term of 9, -1, -15, -33, -55?
-2*y**2 - 4*y + 15
What is the a'th term of -999, -1000, -1003, -1008, -1015, -1024?
-a**2 + 2*a - 1000
What is the d'th term of 36, 33, 16, -21, -84, -179?
-d**3 - d**2 + 7*d + 31
What is the y'th term of 146, 151, 168, 203, 262?
y**3 - 2*y + 147
What is the o'th term of 83, 154, 227, 302, 379?
o**2 + 68*o + 14
What is the s'th term of -109, -236, -391, -586, -833, -1144, -1531, -2006?
-2*s**3 - 2*s**2 - 107*s + 2
What is the o'th term of -202, -336, -468, -598, -726?
o**2 - 137*o - 66
What is the g'th term of 65, 76, 89, 104, 121?
g**2 + 8*g + 56
What is the o'th term of 8, 3, -2, -7, -12?
-5*o + 13
What is the u'th term of 68, 90, 138, 224, 360?
2*u**3 + u**2 + 5*u + 60
What is the v'th term of 32, 50, 72, 98, 128, 162, 200?
2*v**2 + 12*v + 18
What is the o'th term of -225, -450, -675, -900?
-225*o
What is the u'th term of -40, -28, -16, -4?
12*u - 52
What is the g'th term of 189, 184, 179?
-5*g + 194
What is the j'th term of 226, 898, 2024, 3610, 5662, 8186, 11188, 14674?
j**3 + 221*j**2 + 2*j + 2
What is the t'th term of 176, 696, 1562, 2774, 4332, 6236, 8486?
173*t**2 + t + 2
What is the y'th term of -20, -49, -88, -143, -220, -325, -464?
-y**3 + y**2 - 25*y + 5
What is the k'th term of 90, 377, 858, 1533, 2402?
97*k**2 - 4*k - 3
What is the z'th term of 188, 376, 568, 764?
2*z**2 + 182*z + 4
What is the j'th term of -78, -78, -70, -48, -6, 62?
j**3 - 2*j**2 - j - 76
What is the k'th term of -1427, -5711, -12851, -22847, -35699, -51407, -69971?
-1428*k**2 + 1
What is the s'th term of 154, 155, 156, 157, 158, 159?
s + 153
What is the m'th term of -785, -1569, -2353?
-784*m - 1
What is the u'th term of 3, -2, -7?
-5*u + 8
What is the a'th term of 389, 391, 401, 425, 469, 539, 641, 781?
a**3 - 2*a**2 + a + 389
What is the c'th term of -348, -337, -320, -297?
3*c**2 + 2*c - 353
What is the s'th term of -9, 83, 331, 813, 1607, 2791?
13*s**3 + s - 23
What is the c'th term of -6, -17, -36, -63, -98?
-4*c**2 + c - 3
What is the m'th term of 21, -39, -205, -531, -1071, -1879?
-9*m**3 + m**2 + 29
What is the k'th term of -20, -59, -130, -239, -392, -595, -854, -1175?
-k**3 - 10*k**2 - 2*k - 7
What is the j'th term of 148, 159, 184, 229, 300?
j**3 + j**2 + j + 145
What is the p'th term of 56, 65, 74, 83, 92?
9*p + 47
What is the r'th term of 19, 63, 137, 247, 399, 599, 853?
r**3 + 9*r**2 + 10*r - 1
What is the c'th term of -27, -59, -91?
-32*c + 5
What is the c'th term of -9, -39, -87, -153, -237, -339, -459?
-9*c**2 - 3*c + 3
What is the w'th term of 0, -16, -72, -186, -376?
-3*w**3 - 2*w**2 + 11*w - 6
What is the d'th term of -38, -50, -76, -122, -194, -298, -440?
-d**3 - d**2 - 2*d - 34
What is the m'th term of -45, -61, -99, -171, -289, -465?
-2*m**3 + m**2 - 5*m - 39
What is the o'th term of 38, 35, 22, -7, -58, -137, -250?
-o**3 + o**2 + o + 37
What is the k'th term of 167, 96, 25?
-71*k + 238
What is the i'th term of -560, -561, -562, -563, -564, -565?
-i - 559
What is the h'th term of -280, -272, -264, -256, -248?
8*h - 288
What is the t'th term of -49, -44, -39?
5*t - 54
What is the b'th term of -156, -314, -476, -642, -812, -986, -1164?
-2*b**2 - 152*b - 2
What is the m'th term of 21, -4, -87, -258, -547, -984?
-5*m**3 + m**2 + 7*m + 18
What is the t'th term of -197, -762, -1703, -3020, -4713?
-188*t**2 - t - 8
What is the w'th term of -50, -45, -40?
5*w - 55
What is the a'th term of -193, -194, -197, -202, -209, -218, -229?
-a**2 + 2*a - 194
What is the p'th term of -3968, -7937, -11906, -15875, -19844?
-3969*p + 1
What is the t'th term of -23, -48, -73?
-25*t + 2
What is the d'th term of 62, 67, 72?
5*d + 57
What is the l'th term of -66, -278, -638, -1146, -1802, -2606?
-74*l**2 + 10*l - 2
What is the r'th term of -16, -65, -176, -373, -680, -1121?
-4*r**3 - 7*r**2 - 5
What is the h'th term of 94, 216, 338?
122*h - 28
What is the q'th term of -1463, -1480, -1509, -1550, -1603, -1668, -1745?
-6*q**2 + q - 1458
What is the o'th
|
{
"pile_set_name": "DM Mathematics"
}
|
= 1593 + -4784/3. What is the third biggest value in -1/3, -4, q, -0.08?
q
Let w = 9.5 + -10. Let f = -2.882 + 2.582. What is the fourth smallest value in f, -2/7, w, 5?
5
Let z = 18 + -18. Let j be 0 + -6 - 552/(-115). What is the fourth biggest value in 4, j, 3/4, z?
j
Let d = 131.937 + -132. Let w = d - 0.037. What is the second biggest value in -62, w, 2/3?
w
Let u = 149757/5 - 29951. Which is the smallest value? (a) -0.4 (b) u (c) -5/6 (d) -8/9 (e) 5
d
Let c = 8 + -6. Let b = 1.4 + 18.3. Let i = -23.7 + b. What is the second biggest value in c, i, -2/7, -0.4?
-2/7
Let t = -47 - -50. Let n = 4.03 + -3.73. What is the fourth smallest value in -2.4, n, 0.4, t?
t
Let j = -16 + 18. Suppose -33 + j = -o. Suppose 0 = 36*n - o*n - 5. Which is the third biggest value? (a) 1/2 (b) n (c) 11/4
a
Let p = 0.3 - -0.7. Suppose 4*j + 4*a + 152 - 176 = 0, 5*a - 10 = 0. What is the third smallest value in p, j, -4?
j
Let p = -7.3 - -4.8. Let o = p + 2.3. Suppose 4*i = 2*i + 5*n + 4, 4 = 2*i + 5*n. Which is the third smallest value? (a) i (b) o (c) 2/9
a
Suppose 31 = -11*s - 2. What is the biggest value in s, -2/17, -11?
-2/17
Let x = -0.2195 - 259.1805. Let w = -259 - x. Which is the second biggest value? (a) -3/5 (b) -0.5 (c) w
b
Let x be (-10)/(-6)*264/(-440). Which is the fourth smallest value? (a) -4 (b) 9 (c) x (d) 2
b
Let w be (-87520)/(-7800) - 4/6. Let l = w - 52/5. Let i be -2 - ((-2)/2 + 0). What is the third smallest value in 2/7, l, i, -3?
l
Let x = -1.94189 + -0.05811. What is the fourth smallest value in 4, 3/7, x, 222, 5?
5
Suppose 5*n = 3*n + 5*f - 14, -2*n = 2*f. Let y = -746/77 + 105/11. Which is the second biggest value? (a) y (b) n (c) 0.5 (d) -3
a
Let t = -82.56 - -76. Let s = 45.66 + t. Let k = -37 + s. Which is the third smallest value? (a) 0.2 (b) 2/3 (c) k
c
Let s = -322593 + 322598. Let u = -0.2 - -1.2. What is the smallest value in 0.04, u, s?
0.04
Let s = -0.18 - 145.82. Let l = s - -146. Which is the smallest value? (a) l (b) 4 (c) -20/9
c
Suppose -4*o + o = 3*h + 42, -o + h - 18 = 0. Let z = -280467 + 280467.09. What is the second biggest value in o, -1, z?
-1
Let g = 11.7981 - 3.7981. What is the second biggest value in g, -0.2, -16/3, -2/3?
-0.2
Let k = -502.24 - -293.83. Let a = -210 - k. Let b = a + -0.41. What is the smallest value in 23, b, 0.1?
b
Let v = 167051/194852 - 5/27836. Let y(f) = -f + 6. Let h be y(5). Which is the biggest value? (a) 0.4 (b) -2 (c) v (d) h
d
Let t = 114.7 + -114.3. Which is the fourth smallest value? (a) t (b) -0.5 (c) -3/4 (d) -8
a
Let g = -2716 - -2717. Which is the third smallest value? (a) g (b) 0.1 (c) 6 (d) -2/11
a
Let z = 10104 - 20199/2. What is the biggest value in z, 32, -2/7?
32
Let o = -369.8 + 369.4. Which is the third smallest value? (a) 1/3 (b) o (c) -8 (d) -26
b
Let p be 19/3*(6 + 0). Let y = 707.63 + -707.93. Which is the second smallest value? (a) p (b) 5 (c) y
b
Let o = -2403 - -2404.727. Let j = o - -0.273. What is the smallest value in -0.5, -72, j?
-72
Let v = -18599 - -18598.8. What is the smallest value in -53, 2, v, 0.24, 0.2?
-53
Let r(j) = -25*j - 352. Let v be r(-14). Let s = 1.998 - -0.002. Which is the biggest value? (a) -15 (b) 1 (c) v (d) s
d
Let k = 2.56 + -32.96. Let h = 5.4 + k. Which is the biggest value? (a) -0.4 (b) -5/3 (c) -3/5 (d) h
a
Let q = 1.1269 - -1.8731. Let s = -33 - -97/3. Which is the biggest value? (a) 1.3 (b) s (c) 0.4 (d) q
d
Suppose 3*n = t - 2*n - 21, 5*t = 3*n - 5. Let i = 46672 - 46674. What is the biggest value in i, -6, t?
i
Let m = 0.8101 + -0.7101. Which is the second biggest value? (a) m (b) 277 (c) 0.3
c
Let c = -9 - -14. Let i = 13 - c. Let z be (2/13 - (-186)/312)/(-3). What is the third biggest value in 0.5, i, z, 4?
0.5
Let s = 7.5041 + -0.5041. What is the third smallest value in 2/9, -0.1, s, 0?
2/9
Let k = 0.02672 + -0.13472. Which is the second biggest value? (a) -0.5 (b) k (c) 1
b
Let h(p) = p**2 - 15*p - 17. Let w be h(16). Suppose -14*o - 56 = -10*o. Let l be (4/o)/((-14)/21). Which is the biggest value? (a) -1/3 (b) l (c) w
b
Let k = -33 + 6. Let w be 18/(-27) - (-174)/(-63) - 108/(-27). What is the third biggest value in k, w, 3/2?
k
Let s = 3.105 + -3.235. What is the biggest value in -6, -5, 6, s?
6
Let u(b) = 34*b + 161. Let a be u(-8). Let w be a/168 - 69/(-184). What is the second smallest value in -0.1, w, -31, -2?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
= -99*c + 2240 for c.
-35
Solve 472*x + 10640 = -1632 for x.
-26
Solve -1 = -6*i - 2*i + 15 for i.
2
Solve -32*i + 13*i = -10 - 9 for i.
1
Solve -39*b + 31*b = 66*b + 592 for b.
-8
Solve -28*l - 45 + 65 = 48 for l.
-1
Solve 0 = 12*v + 3564 - 3444 for v.
-10
Solve 23*q + 85 = 39 for q.
-2
Solve -248*f - 778*f + 106*f + 10120 = 0 for f.
11
Solve -234*n + 451*n + 299 = 230*n for n.
23
Solve -38*i - 49*i - 12*i - 1683 = 0 for i.
-17
Solve -18525 = -689*r + 1924*r for r.
-15
Solve 12*k - 39*k - 44 = 37 for k.
-3
Solve 10*u - 499 = 43*u + 128 for u.
-19
Solve 21*j = -1202 + 1391 for j.
9
Solve 505*r - 526*r = -315 for r.
15
Solve -323 - 842 = 109*u + 34 for u.
-11
Solve 86*h - 40*h - 1334 = 0 for h.
29
Solve -1274*p = -1299*p + 250 for p.
10
Solve -489 = 166*l - 3*l for l.
-3
Solve 0 = -26*q + 873 - 249 for q.
24
Solve 16*h + 56*h = -648 for h.
-9
Solve 70*i - 417*i = 694 for i.
-2
Solve 41 + 10 = 8*s - 5 for s.
7
Solve 190 + 228 = -43*s - 55 for s.
-11
Solve 52*b + 104 = -18*b - 34*b for b.
-1
Solve -86*d + 108*d + 171 = 17 for d.
-7
Solve -358*h + 392*h + 1277 - 461 = 0 for h.
-24
Solve -46*n + 65*n = 34*n + 30 for n.
-2
Solve 63704*s = 63595*s for s.
0
Solve 0 = -258*c + 818 + 533 + 2519 for c.
15
Solve 381*u = 418*u - 37 for u.
1
Solve -202*d + 42 = -198*d - 66 for d.
27
Solve -1876 = 51*n + 83*n for n.
-14
Solve q - 917 + 1851 = 921 for q.
-13
Solve 80*r + 942 = -837 + 899 for r.
-11
Solve 39*n - 11*n + 119 = 11*n for n.
-7
Solve -59*j = -269 - 117 - 86 for j.
8
Solve 69*i = -80*i - 149 for i.
-1
Solve 610 = 16*a + 786 for a.
-11
Solve -18*q + 24*q - 84 = -0*q for q.
14
Solve 162 = -66*b + 84*b for b.
9
Solve 93*z - 1996 = -415 for z.
17
Solve -434*j = 1446 + 8536 for j.
-23
Solve -1701 = -774*u + 837*u for u.
-27
Solve -43*v + 1386 = 15*v - 135*v for v.
-18
Solve -11*z - 8*z + 259 + 45 = 0 for z.
16
Solve 255 = -288*f + 70*f - 1489 for f.
-8
Solve 60*r + 29 = -91 for r.
-2
Solve 164*l + 37*l - 1617 = -30*l for l.
7
Solve 366*j + 155 = -6433 for j.
-18
Solve 641*c - 653*c = -60 for c.
5
Solve 0 = -22*m + 7*m + 1064 - 1034 for m.
2
Solve 10*y - 24*y - 576 = 18*y for y.
-18
Solve 5*w - 1820 = -20*w - 157*w for w.
10
Solve -67*g - 181 = 180 + 108 for g.
-7
Solve 548*z + 549*z + 3 = 1096*z for z.
-3
Solve -49*t + 61*t - 12 = -120 for t.
-9
Solve -20*v + 47906 - 48006 = 0 for v.
-5
Solve 372*w + 4998 = 610*w for w.
21
Solve 70*c - 13 = -433 for c.
-6
Solve -6031 - 884 - 1635 = -450*x for x.
19
Solve -228*r + 17627 = 806*r - 16495 for r.
33
Solve -17023 + 3685 = 100*d + 602*d for d.
-19
Solve 2014*a = 2034*a + 180 for a.
-9
Solve -219*j + 118*j + 111*j = 100 for j.
10
Solve -78*j - 5423 = -204*j - 61*j for j.
29
Solve 645*o - 602*o = 221 + 295 for o.
12
Solve -3089 = -305*s + 266 for s.
11
Solve 192*t = 52*t + 4620 for t.
33
Solve -85*u - 358 - 211 = -144 for u.
-5
Solve 259*b = -36*b + 6195 for b.
21
Solve -46*s - 2*s - 2449 = 31*s for s.
-31
Solve l = -29*l + 196 + 284 for l.
16
Solve 330*v = 72*v - 7482 for v.
-29
Solve -42*p - 126*p - 124*p = -3796 for p.
13
Solve -518*j + 490*j - 252 = 0 for j.
-9
Solve -19*q + 247 = -0*q - 342 for q.
31
Solve 36*t = 110*t + 2387 - 241 for t.
-29
Solve -22 = 119*w + 216 for w.
-2
Solve 40*n - 165 = 4*n + 21*n for n.
11
Solve -182*p = -1252 + 3254 for p.
-11
Solve -4620 = 187*z + 7*z - 62*z for z.
-35
Solve 1840 = 1014*h - 1129*h for h.
-16
Solve 9 - 51 = -0*t + 6*t for t.
-7
Solve 175 = 5996*d - 5961*d for d.
5
Solve -198*t - 1280 = -134*t for t.
-20
Solve 0 = 326*f - 206*f + 593 + 1447 for f.
-17
Solve -12*v - 56 = -2*v - 206 for v.
15
Solve 218*i + 2269 + 653 = 524 for i.
-11
Solve -225*k + 42*k - 2118 = 627 for k.
-15
Solve -217136 + 217116 = 5*q for q.
-4
Solve 14*g + 100 = 5*g - 11*g for g.
-5
Solve 277 = -66*b - 185 for b.
-7
Solve 47*h - 283 = 281 for h.
12
Solve 874 = -3*o + 889 for o.
5
Solve 20*i + 291 + 69 = 2*i for i.
-20
Solve 15*k - 9*k = -22*k - 84 for k.
-3
Solve 11*g = -11 - 8 + 8 for g.
-1
Solve -43*x - 13056 + 12927 = 0 for x.
-3
Solve -168 - 189 = 23*t - 58 for t.
-13
Solve -17 = 9*o + 3 + 16 for o.
-4
Solve -248926*z + 248987*z - 1098 = 0 for z.
18
Solve -21 = -48*b - 411 - 474 for b.
-18
Solve 297*z - 288*z - 16 - 20 = 0 for z.
4
Solve 168 = -17*p
|
{
"pile_set_name": "DM Mathematics"
}
|
828
Divide -15364 by 46.
-334
What is -192000 divided by 60?
-3200
3 divided by 159188
3/159188
Calculate 2655 divided by 24.
885/8
Calculate -41600 divided by -3200.
13
-3303300 divided by 2
-1651650
Calculate -20480 divided by -1280.
16
What is 98056 divided by 4?
24514
Divide 2 by -680.
-1/340
Calculate 71280 divided by 1620.
44
What is -23545 divided by 277?
-85
5014 divided by -1
-5014
What is 2 divided by 7430?
1/3715
What is -6 divided by 6314?
-3/3157
-4 divided by -11688
1/2922
-507507 divided by -3
169169
Divide -2463850 by -492770.
5
What is -118979 divided by 3?
-118979/3
What is 51022 divided by 2?
25511
What is -9 divided by -111493?
9/111493
What is -25398 divided by -153?
166
Divide -50040 by -60.
834
What is -6969 divided by -1?
6969
Divide -396 by -27.
44/3
What is -53093 divided by -5?
53093/5
-165600 divided by 4
-41400
Calculate -90 divided by -18.
5
Calculate 197 divided by -1231.
-197/1231
8351 divided by -46
-8351/46
1700520 divided by -1149
-1480
What is 5 divided by -4453?
-5/4453
Divide 11880 by -25.
-2376/5
1372090 divided by -274418
-5
What is -83876 divided by 13?
-6452
8091360 divided by 2
4045680
Calculate -37718 divided by -3.
37718/3
Calculate -216945 divided by -43389.
5
-224 divided by -1175
224/1175
Divide 7591 by 43.
7591/43
Divide 0 by 365.
0
What is 1 divided by 114214?
1/114214
Calculate -58663 divided by 1.
-58663
What is 928122 divided by -163?
-5694
-5704872 divided by 6
-950812
Calculate -870 divided by 71.
-870/71
Divide -4 by 14539.
-4/14539
Divide -259246 by 2.
-129623
277880 divided by 138940
2
What is -29100 divided by -297?
9700/99
What is -6 divided by 5420?
-3/2710
Calculate -2673790 divided by -35.
76394
-54975 divided by -733
75
Divide 2 by -529814.
-1/264907
-345 divided by 194
-345/194
Calculate -2 divided by -33585.
2/33585
Divide 308388 by -9948.
-31
Divide 2 by -10879.
-2/10879
-1 divided by 18580
-1/18580
What is -336560 divided by -168280?
2
Calculate -2601180 divided by -45.
57804
19433 divided by 1
19433
Calculate -4 divided by 10426.
-2/5213
What is 1828 divided by 7?
1828/7
Divide -276850 by -98.
2825
1 divided by 189628
1/189628
886338 divided by 147723
6
-1830 divided by -19
1830/19
54816 divided by -13704
-4
What is 26472 divided by -13236?
-2
What is 84651 divided by -21?
-4031
Calculate -774 divided by 96.
-129/16
Calculate 1190 divided by 2.
595
Calculate -33 divided by 133.
-33/133
17704 divided by -9
-17704/9
Divide -2876910 by 958970.
-3
Calculate 35147 divided by -23.
-35147/23
Divide -4576432 by 4.
-1144108
-440657 divided by 391
-1127
Calculate 16 divided by -14725.
-16/14725
Divide 269982 by -9.
-29998
Divide -579 by -11.
579/11
Calculate 75915 divided by -9.
-8435
Calculate -374192 divided by 187096.
-2
What is 137481 divided by -45827?
-3
Divide -191 by -23293.
191/23293
-5 divided by 48434
-5/48434
-131100 divided by -32775
4
Divide -49060 by -12265.
4
Calculate -9354 divided by -2.
4677
-3347 divided by 2
-3347/2
Divide -25668 by 4278.
-6
Divide 11210 by -2242.
-5
Divide 1 by 9420.
1/9420
Calculate 4 divided by 801737.
4/801737
What is -1130972 divided by -565486?
2
What is 7 divided by 13295?
7/13295
Calculate -55168 divided by -1724.
32
What is -2038525 divided by 27925?
-73
Calculate -1224 divided by 6.
-204
What is 3741 divided by -57?
-1247/19
-4 divided by 307881
-4/307881
17 divided by -1020
-1/60
-57 divided by -445
57/445
-16861 divided by 1
-16861
What is -456702 divided by -3?
152234
Calculate 14934 divided by -262.
-57
Divide 61 by -28501.
-61/28501
Divide -1112736 by 11591.
-96
Divide -234064 by -58516.
4
Calculate 0 divided by -337.
0
Divide 49490 by -9898.
-5
Divide 1352 by 375.
1352/375
Calculate 3569427 divided by 3.
1189809
What is 665 divided by -4444?
-665/4444
Calculate 0 divided by 9962.
0
1 divided by -2762
-1/2762
Calculate 712323 divided by -712323.
-1
Calculate -144 divided by 54.
-8/3
Calculate 0 divided by 49553.
0
Divide 9640 by 964.
10
3766 divided by 2
1883
-1131 divided by 6
-377/2
What is 745255 divided by -7?
-106465
What is -139512 divided by 2?
-69756
Divide -131 by 147.
-131/147
Divide -4 by 363752.
-1/90938
-15547 divided by -17
15547/17
What is -9510 divided by 317?
-30
Divide -59820 by 5.
-11964
Calculate 1 divided by -4984.
-1/4984
2455728 divided by -111624
-22
Divide -15134 by 22.
-7567/11
What is 327540 divided by -412?
-795
What is 196084 divided by 7?
28012
What is -185997 divided by -185997?
1
2 divided by 458203
2/458203
Divide -7608718 by -26.
292643
What is 5 divided by 195750?
1/39150
What is 1368046 divided by -6641?
-206
Calculate -263040 divided by 6.
-43840
Divide -4 by 14061.
-4/14061
Divide 5 by 107756.
5/107756
Calculate 158625 divided by 1.
158625
Divide 4785408 by 598176.
8
Divide -60 by 1.
-60
Divide -12 by 27354.
-2/4559
Calculate -143060 divided by -23.
6220
What is 3 divided by -268083?
-1/89361
-3522366 divided by 11511
-306
What is 21752 divided by 5438?
4
What is 3 divided by 4922?
3/4922
Divide 0 by -601720.
0
Calculate 552692 divided by -4.
-138173
Calculate 10 divided by -37956.
-5/18978
-58780 divided by -11756
5
-486318 divided by 42
-11579
|
{
"pile_set_name": "DM Mathematics"
}
|
Let g be h(11). Suppose g*n - a = n. Solve -n = -5*x + 4 for x.
1
Suppose s = 3*a - 4, -s - 1 + 2 = 2*a. Let w be (-21)/(-2) + s/2. Solve m = 3*m + w for m.
-5
Let u = -20 + 39. Suppose u + 9 = 5*o - 2*p, -3*p + 33 = 5*o. Solve -9 = 5*c + o for c.
-3
Let l = -4 - -9. Suppose -l*v + 4*v - 3*y - 5 = 0, 3*v = -4*y. Solve 4*q + 16 = -v for q.
-5
Let l(y) = -5*y**3 + y**2 - 3*y + 1. Let w(a) = -a**3 - a + 1. Let b(m) = -l(m) + 4*w(m). Let o be b(0). Solve o*u = 4*u + 2 for u.
-2
Suppose 0 = -4*o + o + 42. Let d = o - 5. Solve -3*h - d = -0*h for h.
-3
Suppose 3*r + 5*b - 29 = 0, -r = -4*r - b + 13. Solve -r*u - 8 = -u for u.
-4
Suppose 0 = -2*f + x + x + 28, -5*f - 4*x = -43. Let p(n) = -n**3 + 6*n**2 + 2*n - 8. Let d be p(6). Suppose d*g = 39 - f. Solve -3 - g = -2*k for k.
5
Let p = 10 - 6. Let u be -1 - (2 + -3)*p. Suppose 0*a = 3*a - u. Solve -3*o + 2*o + a = 0 for o.
1
Let m = 9 + -6. Solve -f - 4 = -m for f.
-1
Let f = -1 - -7. Suppose -6 = -3*g + f. Solve -g*d - 2 = -6 for d.
1
Let b be (1 - 0)*(-3)/1. Suppose -3*i - 31 = -1. Let j = b - i. Solve -3*u + j = -8 for u.
5
Let c(g) = 2*g + 12. Let y be c(-3). Solve -y*r + 7*r - 3 = 0 for r.
3
Let u = 6 + -6. Suppose -x + u*x + 1 = 0. Solve h + 2 = -x for h.
-3
Let u(a) = -a - 3. Let i be u(-13). Suppose -12 = -m - i. Solve -m*j + 0*j = 10 for j.
-5
Let l be (3/5)/((-2)/(-10)). Suppose 5*r = l*r. Solve -3*j + 6 + 0 = r for j.
2
Let y be (-30)/180 - (-14)/12. Solve -y = -4*f + 3 for f.
1
Let n(g) = g**3 - 2*g**2 + g - 3. Let i be n(3). Suppose 4*m + 1 = -3. Let v = m + 4. Solve -v*k = -0 + i for k.
-3
Let q = 2 + 0. Suppose 0*d = q*d - 20. Solve -3*u + 1 = d for u.
-3
Suppose 4*w - 3*l + 5*l + 30 = 0, 0 = -2*w + 5*l - 21. Let p be (-3)/2*w/12. Solve -1 = d + p for d.
-2
Suppose -1 = -3*k + 2*g, 2 = -2*k + 4*k - g. Let f be -1 + 5 - (1 + 0). Solve k*l - f - 3 = 0 for l.
2
Let q be 0 - (-2 + -3)/1. Suppose -m + 4*o = 18, 3*o = m + 13 + 1. Let v = m + q. Solve 12 + 3 = v*t for t.
5
Let j(b) be the third derivative of b**5/10 + b**4/12 - b**3/3 - b**2. Let w be j(1). Solve -l = 3 - w for l.
3
Suppose 2*r = -4*h + 16, 4*h + 0*r - 3*r - 26 = 0. Suppose h = j - g + 3, 0 = -4*g + 8. Solve -16 = -j*y - 0*y for y.
4
Let s(a) = 7*a**3 - 2*a**2 + 1. Let u be s(1). Suppose 0 = u*v - 5*v - 7. Let q = 0 + 2. Solve -q*b = -v*b + 20 for b.
4
Suppose -5*g - 9 - 14 = -3*w, 2*g = -2. Let m(a) = a - 3. Let t be m(w). Solve t*v + 3 = 6 for v.
1
Let a be (1 - 1)/(5 + -3). Suppose -d - 2*j - 3 = 8, -d - 12 = 3*j. Let q be (-3 - a)*12/d. Solve n + 9 = q*n for n.
3
Suppose -3*q - 4*w = 2, -5*w = -10*w - 10. Suppose s - q = -8. Let p be ((-8)/s)/(3/36). Solve 0 = -3*g - g - p for g.
-4
Let r(i) = i**3 + 2*i**2 + 1. Let h be r(-2). Suppose 2*y = -2*g - h - 1, -5*g - 29 = -3*y. Suppose 3*a - y = -0. Solve -a = -z - 2 for z.
-1
Suppose 0 = 6*l - 6 - 6. Solve l*b + 15 = 5*b for b.
5
Suppose 3*d - x + 2*x - 22 = 0, -4*d + 29 = x. Suppose 0*m - 3*m + 37 = 5*c, m + 2*c = 14. Suppose -m*u = -u - 15. Solve u*q - d - 8 = 0 for q.
3
Suppose 5*r = -9 + 34. Solve r*n - 29 = -9 for n.
4
Let i(w) = w**2 - 6*w + 6. Let a be i(5). Let x = a + -1. Suppose t - 2*t = x. Solve k - 1 - 4 = t for k.
5
Let t = -5 + 11. Suppose -4*z + 0*m - m + 14 = 0, -4*m + 8 = 0. Suppose -z*d + t = -0*d. Solve 2*b + d - 6 = 0 for b.
2
Let f be 0/(4/4) + -8. Let p = 10 + f. Solve 0 = -4*c + p*c - 8 for c.
-4
Let z be (-2)/(1/5*2). Let f = 7 + z. Let k = f + 0. Solve 0 = -k*y - y - 9 for y.
-3
Let b = 154 - 152. Solve -10 = -0*d + b*d for d.
-5
Suppose 3*k + 5*i = -4, 2*k = -4*i - i - 1. Let a be 2 - (3 + -4 - k). Solve a = 2*z - 1 - 7 for z.
4
Suppose -25 = 5*l + 3*c, -2*l = l - 4*c + 15. Let g = l + 9. Solve g*v + v = 10 for v.
2
Let l(x) = -x - 3. Let j be l(-3). Let f = -6 + 8. Suppose 0 = -2*b - t - 5, 3*b - f*t - 12 = -2. Solve r + b*r - 4 = j for r.
4
Suppose -3*n + 2 = -7. Suppose n + 7 = -2*a. Let u = -5 - a. Solve 5*d - 2*d - 3 = u for d.
1
Suppose -3 + 4 = 3*k - v, 0 = 2*k - 2*v + 2. Solve -2*d
|
{
"pile_set_name": "DM Mathematics"
}
|
170))/sqrt(10) - sqrt(17)) + sqrt(68) + -1 + sqrt(17) + 4 + -1)**2.
16*sqrt(17) + 275
Simplify 3*(sqrt(243) - sqrt(243)*1 - (sqrt(27) + -3) - (sqrt(96)*-1)/sqrt(8))**2 + 4.
-18*sqrt(3) + 40
Simplify 2*3*(((-3 + (sqrt(1008) - (-1 + sqrt(1008))))**2 - sqrt(1008) - sqrt(1008))*2 + 0 + 5)*2.
-576*sqrt(7) + 156
Simplify 6*(-6*(5*(0 + sqrt(637) + sqrt(637)))**2 - (sqrt(1573)*1*-5 + (sqrt(1573) + -2 + sqrt(1573) + -3)**2)).
-2331102 + 1650*sqrt(13)
Simplify ((-2*(sqrt(80) + sqrt(5))*4 - ((1 + sqrt(180) - sqrt(180)) + sqrt(180))*-2) + 4 + (-2*sqrt(125) - sqrt(125)) + 2 + -4)**2.
-344*sqrt(5) + 9261
Simplify (-6*-1*sqrt(78))/(sqrt(42)/(sqrt(7) + sqrt(7) + sqrt(14)/sqrt(2)) - sqrt(6)) + (sqrt(104)/(sqrt(2) - sqrt(18)) + sqrt(52))/(sqrt(252)/sqrt(7)).
-53*sqrt(13)/6
Simplify (((-1 + -1*sqrt(2736))*-6 - 6*(2 + sqrt(2736))*-2)*6)**2 + -1.
466560*sqrt(19) + 31945103
Simplify (-1 + 1 + sqrt(180)*2 + -4 - 2*(-6*(sqrt(180) - (1 + sqrt(180))) - sqrt(180))*-2)**2.
-480*sqrt(5) + 1120
Simplify (3*3*(sqrt(66)*1 + sqrt(66))*-6)/((sqrt(54)*-3)/sqrt(9) - (sqrt(384) + sqrt(384) + 1*sqrt(384) + sqrt(384))).
108*sqrt(11)/35
Simplify (1*1*(sqrt(128) + 0 + 5)*-3*-6)**2*3.
77760*sqrt(2) + 148716
Simplify ((-1*sqrt(180)*3*1 - (-3*(sqrt(180) + 2*sqrt(180) + sqrt(180)) - sqrt(180) - sqrt(180)*-2*-6))*-4 + 4)**2*1.
-4224*sqrt(5) + 1393936
Simplify (6*(4 + (sqrt(162) - (sqrt(162) - 5*(2 + sqrt(162)))) + -4 + (-1 + sqrt(162))*-1)*4)**2*-6.
-9376128 - 2737152*sqrt(2)
Simplify -6*(-3*(1 + (sqrt(612) - (sqrt(612) - (-1 + sqrt(612)))) + (-6*(sqrt(612) - -2*sqrt(612)) - sqrt(612))))**2*-1.
10707552
Simplify (sqrt(240)*-2 - -6*sqrt(15)*2)/(-1*sqrt(720)*2).
-sqrt(3)/6
Simplify (6*sqrt(440)/(sqrt(8) - 4*sqrt(8)))/((sqrt(3993)*-5 + sqrt(3993))/sqrt(3)).
sqrt(5)/22
Simplify 5*(-3*sqrt(80))**2 + 2*sqrt(80)*-6 + (-1*2*sqrt(80)*-5 + -3)**2.
-288*sqrt(5) + 11609
Simplify (1*sqrt(132)*1)/(sqrt(96)/sqrt(72)) + ((3*sqrt(1331)*2 + sqrt(1331))**2 - sqrt(1331)) + (sqrt(1331) + -2)*-2 + sqrt(1331) + sqrt(1331).
-8*sqrt(11) + 65223
Simplify (-2*3*(-1*sqrt(75))**2 + (-5 + 0 + sqrt(300) - -5*(sqrt(300) + -1 + sqrt(300)))**2)*5.
-11000*sqrt(3) + 179750
Simplify (sqrt(68)*-2*1)/(sqrt(4) + (sqrt(56)/sqrt(2))/sqrt(7)) + 5*-2*sqrt(833)*5.
-351*sqrt(17)
Simplify (sqrt(160)/(sqrt(200) + sqrt(8)))/(-1*sqrt(100)) + (sqrt(110)/(sqrt(6)/sqrt(3)))/(sqrt(44)/(sqrt(4)*2 - sqrt(4))).
29*sqrt(5)/30
Simplify -4 + (2*1*sqrt(2299)*1*6 - ((sqrt(2299) + 0)*6 + 4 + 2 + sqrt(2299) + sqrt(2299))**2).
-147176 - 924*sqrt(19)
Simplify -3*(-2 + -2 + sqrt(475) + (-1*sqrt(475))**2*-5 + (-3*sqrt(475)*-1 - (sqrt(475) - (sqrt(475) + 3 + sqrt(475)))*-6)**2).
-1635*sqrt(19) - 6660
Simplify 4 + sqrt(325) + sqrt(13) + 5 + 0 - (-2*(sqrt(1872) + 0) - (sqrt(1872) + (2*(sqrt(1872) + -1 - sqrt(1872)))**2)).
13 + 42*sqrt(13)
Simplify (6*(sqrt(108) + 1) + 0 + (sqrt(108)*2 - sqrt(108)) - (-5*(sqrt(108)*2 + 0) + 0))**2.
1224*sqrt(3) + 31248
Simplify (-4*(3 + (sqrt(1053) + -1*sqrt(1053) + sqrt(1053) + -1 - sqrt(1053)) + -4)*5)**2 + -3.
1597
Simplify (5 + (-6*(sqrt(425) + -1 + 2 + sqrt(425)) - 6*((sqrt(425) - 6*3*sqrt(425)) + sqrt(425)))*3)**2.
-32760*sqrt(17) + 26989369
Simplify (5*(sqrt(392)*3)/sqrt(8)*-3)/((sqrt(140)*2 - sqrt(35))/(sqrt(80)*-2 + sqrt(80) - sqrt(80))).
120*sqrt(7)
Simplify -4 + 4*(((sqrt(162) + sqrt(162) + -1)*-2 - (sqrt(162) + -1 + sqrt(162) + 1 - sqrt(162)) - -4*(sqrt(162) + -1)*-6)**2 + 5).
-54288*sqrt(2) + 547688
Simplify 1 + ((sqrt(72)*2*1)/(sqrt(6) - sqrt(24)*-5))/(1*(sqrt(726) + 2*sqrt(726) - ((sqrt(294)*-1 - sqrt(294)) + sqrt(294)))).
sqrt(2)/220 + 1
Simplify 3 + (-3*(sqrt(147) + (sqrt(147)*2)**2) + (sqrt(3) - (sqrt(3) + -1)*-3) + sqrt(48) + -2 + sqrt(48))*2.
-3535 - 18*sqrt(3)
Simplify (sqrt(567) + 4 + sqrt(14)/(-5*sqrt(2)) + (-5 + sqrt(7)*3 - sqrt(56)/(sqrt(56)/sqrt(7))))**2 + -3.
-108*sqrt(7)/5 + 20362/25
Simplify 5*((sqrt(224) + 2*sqrt(224))/((sqrt(28) - sqrt(56)/sqrt(2)) + sqrt(7)) + 1 + (sqrt(324)/sqrt(9))/sqrt(2)).
5 + 75*sqrt(2)
Simplify (sqrt(342)/sqrt(6)*1 + 5*sqrt(456)/sqrt(8))/((sqrt(96)/sqrt(4))/(sqrt(288) + -2*sqrt(288) + sqrt(288) - sqrt(2))).
-3*sqrt(19)
Simplify ((sqrt(99) + (1*sqrt(99) + sqrt(99))*-5)*-3*-6)/(-2*sqrt(9)*1 + (sqrt(1296) - -1*sqrt(1296))).
-81*sqrt(11)/11
Simplify (((-2*sqrt(240))/sqrt(8))/(sqrt(60)/sqrt(6)*6))**2 + (3 + -3*sqrt(48)*4)**2*-2.
-41525/3 + 576*sqrt(3)
Simplify -5 + ((sqrt(1700)*2 - sqrt(1700))*-4 - ((0 + sqrt(1700))**2 + -4)) + 3 + 0 + 2.
-1696 - 40
|
{
"pile_set_name": "DM Mathematics"
}
|
22*t + 11. Suppose 9 - 12 = -z. Let g be -4 - -10 - (-6)/z. Calculate the remainder when q(g) is divided by 31.
28
Suppose -25*v = -17*v - 1384. What is the remainder when 327 is divided by v?
154
Suppose 334*h = 428491 - 115199. Calculate the remainder when h is divided by 936.
2
Let r = 17606 - 17470. What is the remainder when 422 is divided by r?
14
Let o = -407 + 412. Suppose 0 = 4*i - 4*v + 11 - 3, 3*v = -3*i + 24. Suppose -i*y = y - 96. What is the remainder when y is divided by o?
4
Let b(n) = 33*n**2 + n - 2. Let c be b(1). Let q be (c/80)/(2/10). Suppose -q*m - 2*m = -64. Calculate the remainder when 76 is divided by m.
12
Suppose 5*m = -4*h + 74, -2*m - 60 = -4*h - 0*h. Let l(r) = 1040*r + h + 29 - 1047*r. What is the remainder when l(0) is divided by 10?
5
Suppose -6*q = 5*q - 506. Suppose 5*k + q = 3*i, -2*k + 4*k - 2 = 0. What is the remainder when i is divided by 9?
8
Let b(q) = -q**3 - 6*q**2 - 3*q - 7. Let y(l) = l**3 - 41*l**2 - 227*l - 58. Calculate the remainder when y(46) is divided by b(-6).
3
Calculate the remainder when 247 + 1 - (5 + -7) is divided by (5 - -37)*54/(-36)*-1.
61
Let i = 454 + -450. Suppose 4*s + 8*j - 136 = i*j, j - 4 = 0. Calculate the remainder when 385 is divided by s.
25
Suppose 155 = 4*b + b. Let c(w) = -w**3 - 14*w**2 + 12*w - 36. Suppose 0 = -9*o - 137 + 2. What is the remainder when b is divided by c(o)?
4
Let m(r) be the first derivative of 9*r**2/2 + 195*r - 430. Suppose 1 - 40 = -y. What is the remainder when m(-5) is divided by y?
33
Suppose -137 = 3*b - 4*k - 171, 4*b + 5*k = 4. Let w = 59 + -23. Calculate the remainder when w is divided by b.
0
Suppose -5*t + 4*y = -1453, 4*t - 1160 = 85*y - 81*y. Calculate the remainder when t is divided by 9.
5
Let r(w) = -2*w**3 + 15*w**2 + w + 5. Calculate the remainder when 237 is divided by r(7).
54
Suppose 0 = 4*j + 7 + 5. Calculate the remainder when 152 is divided by 2 + 18 + j + 9.
22
Suppose 10 = 2*a, 5*a + 927 = -3*k + 4537. Calculate the remainder when k is divided by 23.
22
Suppose -10 = 2*y, -16*y + 17*y + 21 = -4*a. Suppose 0*b = 3*b - 108. What is the remainder when 38/19*1*(-206)/a is divided by b?
31
Let w = -341 + 344. Let t(j) = 6*j**2 + 19*j - 42. Calculate the remainder when 411 is divided by t(w).
66
Let n be -123*(-20)/(-12) - (1 - 3). What is the remainder when (n + 0/(-2))*-1 is divided by 34?
33
Let o(n) = 16*n + 1. Suppose 4*d + 2 = -10. Let v be o(d). Let h = v - -56. What is the remainder when h is divided by 6?
3
Suppose 5*n - 4*o - 16 = 0, -6*n - 2*o = -n - 22. Suppose 64 = -5*d + 2*i + n, 5 = -d - i. Calculate the remainder when 32 is divided by 27/5 + ((-46)/d - 5).
2
Let z = -82 - -88. What is the remainder when 3 + (-1059)/(-18) - (-7)/42 is divided by z?
2
Let v = -13332 - -13355. Calculate the remainder when 265 is divided by v.
12
Let l = -412 - -296. Let b = 352 + l. Calculate the remainder when b is divided by 20.
16
Let k = -1929 + 3024. Suppose -4*i = -5*t - 9*i + k, 0 = t + 5*i - 223. Calculate the remainder when t is divided by 55.
53
Let s = 46576 - 46496. Suppose -2537 = -4*o + 3*c, -4*o + c = -4*c - 2527. What is the remainder when o is divided by s?
78
What is the remainder when ((-1024)/(-176) + 2/11)*(-49)/(-3) is divided by 77?
21
Let w = -1530 - -1577. Calculate the remainder when 5355 is divided by w.
44
Let u = -70 + 72. Suppose 3*t = 0, -4*d + 128 = -5*t + u*t. What is the remainder when 117 is divided by d?
21
Suppose 5*s = b - 11 - 7, 0 = 5*b - 4*s - 132. Let j(w) = -48*w + b*w + 22*w + 39. Calculate the remainder when 32 is divided by j(-6).
5
Suppose -436 = -6*w - 88. Let o = 76 - w. Suppose -3*i + o = 5*d - 32, 3*d - 44 = i. What is the remainder when 61 is divided by d?
9
Let v(l) = -l**3 + 15*l**2 - l + 162. Calculate the remainder when v(14) is divided by 10.
4
Let w(c) = 37*c**2 - c - 7. Suppose 2*q = 3*z + 2 + 47, -5*q - 4*z + 134 = 0. What is the remainder when w(2) is divided by q?
9
What is the remainder when (-2)/(-3)*9/33 - 309222/(-902) is divided by 72?
55
Let l = -134 + 218. Calculate the remainder when 6/21 - (-3000)/l is divided by 16.
4
Suppose -355*i + 372*i = 14348. Suppose -i*b + 855*b - 1221 = 0. Let f(u) = -9*u + 1. Calculate the remainder when b is divided by f(-3).
27
Let z = 280 - 188. Let d(r) = r - 187 + 112 + z. What is the remainder when d(-11) is divided by 5?
1
Suppose -28 = -j - y, -j = 4*y - 5 - 17. Suppose -4*a - 389 - 1757 = -5*s, 3*s = a + 540. Let w = a + 682. Calculate the remainder when w is divided by j.
28
Let i = -358 + 428. Let a = 226 + -127. Suppose -27 = 3*g - a. What is the remainder when i is divided by g?
22
Let p(k) = -14*k - 2*k**2 - 16*k + 4 - 36*k + 42*k. What is the remainder when 5 is divided by p(-12)?
1
Let q = -51 - -299. Let d = -225 + q. What is the remainder when 68 is divided by d?
22
Suppose 0 = -60*x + 56*x. Let s be (-4)/(-2)*(x - -109). Suppose 7*g - s = -1. What is the remainder when g is divided by 17?
14
Suppose 0 = 199*d - 184*d - 6870. What is the remainder when d is divided by 176?
106
Let j(n) = 115*n + 1077. Calculate the remainder when 1342 is divided by j(-9).
40
Suppose -1561 = -23*l - 24*l + 460. Calculate the remainder when 4643 is divided by l.
42
Suppose 9*z - 8*z - 356 = -4*s, -321 = -z + s. What is the remainder when z is divided by 129?
70
|
{
"pile_set_name": "DM Mathematics"
}
|
m**3 + 18175*m**2 - 83695*m + 10830 = 0. Calculate m.
-19, 2/15, 3
Factor j**4 + 181*j**3 + 9699*j**2 + 158219*j - 168100.
(j - 1)*(j + 41)**2*(j + 100)
Determine i, given that 2*i**4 + 258*i**3 - 2654*i**2 - 23610*i - 20700 = 0.
-138, -5, -1, 15
Factor -2*a**3 - 170*a**2 - 1246*a - 1078.
-2*(a + 1)*(a + 7)*(a + 77)
Determine z, given that 3*z**2 - 389802*z - 389805 = 0.
-1, 129935
Factor -9*t**3/7 + 169080*t**2/7 - 450832*t/7 + 300544/7.
-(t - 18784)*(3*t - 4)**2/7
Determine j so that 6*j**4/7 + 778*j**3/7 + 1992*j**2/7 - 5112*j/7 - 4064/7 = 0.
-127, -4, -2/3, 2
Suppose -4*l**2 - 2318704*l - 336024264976 = 0. Calculate l.
-289838
Factor -4*i**5 + 308*i**4 - 2032*i**3 + 5120*i**2 - 5632*i + 2240.
-4*(i - 70)*(i - 2)**3*(i - 1)
Suppose 2*h**3 - 40*h**2 - 952*h = 0. What is h?
-14, 0, 34
Find d, given that -2*d**2/9 - 1792*d/3 - 1790 = 0.
-2685, -3
Suppose g**3/5 + 9459*g**2/5 + 4482135*g + 40186125 = 0. Calculate g.
-4725, -9
Determine t so that t**4/3 + 101*t**3/3 - 106*t**2 - 616*t/3 + 832/3 = 0.
-104, -2, 1, 4
Factor -v**2 + 167859*v - 167858.
-(v - 167858)*(v - 1)
Factor -k**2 - 11453*k - 45796.
-(k + 4)*(k + 11449)
Determine l so that -5*l**2 + 83435*l - 333660 = 0.
4, 16683
Factor -5*l**2 + 9545*l + 9550.
-5*(l - 1910)*(l + 1)
Factor 5*r**2 - 5450*r - 231855.
5*(r - 1131)*(r + 41)
Solve 4*c**4 - 1672*c**3 + 198004*c**2 - 4865520*c + 33872400 = 0 for c.
15, 194
Factor 3*t**3 - 3774*t**2 - 12*t + 15096.
3*(t - 1258)*(t - 2)*(t + 2)
Find u, given that u**5/4 + 30789*u**4/4 - 46189*u**3/2 - 15393*u**2 + 92374*u - 61584 = 0.
-30792, -2, 1, 2
Determine h so that -4*h**2 + 104936*h - 688222756 = 0.
13117
Solve 3*k**2 + 39606*k + 79200 = 0.
-13200, -2
Find f, given that f**4/8 + 3417*f**3/8 + 3415*f**2/8 - 3417*f/8 - 427 = 0.
-3416, -1, 1
Suppose 533*g**3/9 - 5339*g**2/9 + 10*g = 0. What is g?
0, 9/533, 10
Factor -25*d**2/2 - 435*d/2 + 135.
-5*(d + 18)*(5*d - 3)/2
Factor -5*a**3 + 8040*a**2 + 97020*a + 291600.
-5*(a - 1620)*(a + 6)**2
Suppose 2*f**5/7 + 418*f**4/7 - 8018*f**3/7 + 34838*f**2/7 - 27240*f/7 = 0. Calculate f.
-227, 0, 1, 5, 12
Factor 5*a**2 + 625*a + 9180.
5*(a + 17)*(a + 108)
Determine i, given that -4*i**4/3 + 2836*i**3/3 - 2828*i**2/3 - 2836*i/3 + 944 = 0.
-1, 1, 708
Factor -4*o**3 + 580*o**2 + 30848*o - 63984.
-4*(o - 186)*(o - 2)*(o + 43)
Factor 2*g**2/7 + 640*g/7 + 18432/7.
2*(g + 32)*(g + 288)/7
Factor 2*p**3/5 - 43008*p**2/5 + 231211008*p/5.
2*p*(p - 10752)**2/5
Factor -3*x**3 - 732*x**2 - 2157*x + 2892.
-3*(x - 1)*(x + 4)*(x + 241)
Factor 5*o**2 - 406250*o + 8251953125.
5*(o - 40625)**2
Factor 2*b**3 - 3334*b**2 + 1384430*b + 4183350.
2*(b - 835)**2*(b + 3)
Solve -3*d**4/2 - 1446*d**3 + 11625*d**2/2 + 4329*d - 26136 = 0 for d.
-968, -2, 3
Factor q**3 + 551*q**2 + 10720*q + 53100.
(q + 10)**2*(q + 531)
Determine z so that 2*z**3 - 1030*z**2 - 50400*z = 0.
-45, 0, 560
Determine u so that -150*u**4 + 58590*u**3 + 758433*u**2/2 + 754596*u + 868239/2 = 0.
-27/10, -1, 397
Factor 3*s**3 - 153006*s**2 + 1950749988*s + 3902112024.
3*(s - 25502)**2*(s + 2)
Suppose -t**4/8 + 53*t**3/8 - 153*t**2/8 + 151*t/8 - 25/4 = 0. What is t?
1, 50
Let y**2/6 + 253*y/6 + 6776/3 = 0. What is y?
-176, -77
Factor 5*a**4 + 320*a**3 - 6885*a**2.
5*a**2*(a - 17)*(a + 81)
Factor -2*v**3 - 3018*v**2 - 1445454*v - 212685254.
-2*(v + 283)*(v + 613)**2
Factor -a**4 - 417418*a**3 - 1252248*a**2 - 1252246*a - 417415.
-(a + 1)**3*(a + 417415)
Solve -2*r**3/13 + 476*r**2/13 - 2250*r + 8424 = 0 for r.
4, 117
Determine j so that -j**2/2 + 700*j - 20775/2 = 0.
15, 1385
Find l such that -4*l**2 + 1660*l - 100936 = 0.
74, 341
Factor -l**2/3 - 2239*l/3 + 4490.
-(l - 6)*(l + 2245)/3
Solve f**3/2 - 859*f**2/2 - 861*f = 0.
-2, 0, 861
Suppose -r**5/9 + 482*r**4/9 + 2944*r**3/9 - 7808*r**2/9 = 0. Calculate r.
-8, 0, 2, 488
Find s, given that -3*s**2 + 378*s + 61101 = 0.
-93, 219
Let -2*z**3/3 + 1292*z**2/3 - 39358*z/
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 14*z - 9
What is the y'th term of 7, 14, 21, 28, 35?
7*y
What is the g'th term of -14, -44, -94, -164?
-10*g**2 - 4
What is the m'th term of -356, -718, -1082, -1448, -1816?
-m**2 - 359*m + 4
What is the o'th term of -3, -2, -3, -6, -11?
-o**2 + 4*o - 6
What is the k'th term of 2, -3, -12, -25, -42, -63?
-2*k**2 + k + 3
What is the x'th term of 47, 237, 581, 1085, 1755, 2597, 3617, 4821?
x**3 + 71*x**2 - 30*x + 5
What is the m'th term of -34, -178, -426, -784, -1258?
-m**3 - 46*m**2 + m + 12
What is the j'th term of 11, 26, 55, 104, 179?
j**3 + j**2 + 5*j + 4
What is the h'th term of 107, 123, 147, 179?
4*h**2 + 4*h + 99
What is the w'th term of -543, -531, -519?
12*w - 555
What is the o'th term of -24, -37, -56, -81, -112?
-3*o**2 - 4*o - 17
What is the h'th term of -138, -142, -148, -156, -166, -178, -192?
-h**2 - h - 136
What is the l'th term of -233, -232, -231, -230?
l - 234
What is the o'th term of -55, -58, -65, -76?
-2*o**2 + 3*o - 56
What is the g'th term of -30, -59, -90, -123, -158?
-g**2 - 26*g - 3
What is the n'th term of 9, -1, -21, -51, -91, -141?
-5*n**2 + 5*n + 9
What is the p'th term of -2053, -2052, -2051, -2050, -2049, -2048?
p - 2054
What is the r'th term of -113, -210, -319, -446, -597, -778?
-r**3 - 90*r - 22
What is the n'th term of 40, 43, 46?
3*n + 37
What is the u'th term of 48, 63, 76, 87, 96?
-u**2 + 18*u + 31
What is the a'th term of -3898, -3890, -3878, -3862, -3842?
2*a**2 + 2*a - 3902
What is the z'th term of -97, -337, -713, -1219, -1849, -2597, -3457, -4423?
z**3 - 74*z**2 - 25*z + 1
What is the q'th term of 2888, 5772, 8656, 11540, 14424?
2884*q + 4
What is the c'th term of 2249, 4498, 6737, 8960, 11161, 13334, 15473?
-c**3 + c**2 + 2253*c - 4
What is the c'th term of 90, 39, -12, -63?
-51*c + 141
What is the z'th term of -1377, -2747, -4117, -5487, -6857, -8227?
-1370*z - 7
What is the f'th term of -7, 5, 39, 107, 221, 393, 635?
2*f**3 - f**2 + f - 9
What is the m'th term of -30, -46, -78, -132, -214, -330, -486?
-m**3 - 2*m**2 - 3*m - 24
What is the i'th term of -20, -6, 32, 106, 228?
2*i**3 - 22
What is the k'th term of 329, 332, 337, 344, 353?
k**2 + 328
What is the o'th term of -113, -161, -241, -353?
-16*o**2 - 97
What is the j'th term of 5, 25, 61, 113?
8*j**2 - 4*j + 1
What is the q'th term of -28, -58, -90, -124?
-q**2 - 27*q
What is the q'th term of -539, -535, -529, -521, -511, -499?
q**2 + q - 541
What is the s'th term of 7, 3, 11, 37, 87, 167?
s**3 - 11*s + 17
What is the i'th term of 105, 121, 137, 153, 169?
16*i + 89
What is the s'th term of 37, 69, 97, 115, 117, 97, 49, -33?
-s**3 + 4*s**2 + 27*s + 7
What is the a'th term of -188, -373, -568, -779, -1012, -1273, -1568, -1903?
-a**3 + a**2 - 181*a - 7
What is the d'th term of -2576, -2575, -2574, -2573, -2572?
d - 2577
What is the g'th term of -1, 4, 23, 62, 127, 224?
g**3 + g**2 - 5*g + 2
What is the m'th term of -2, 7, 12, 7, -14, -57, -128, -233?
-m**3 + 4*m**2 + 4*m - 9
What is the h'th term of 17, -12, -67, -160, -303, -508, -787?
-2*h**3 - h**2 - 12*h + 32
What is the x'th term of -93, -192, -293, -396, -501, -608?
-x**2 - 96*x + 4
What is the d'th term of 10, 89, 302, 715, 1394, 2405, 3814?
11*d**3 + d**2 - d - 1
What is the x'th term of -866, -1733, -2600?
-867*x + 1
What is the v'th term of 57, 54, 37, 0, -63, -158, -291?
-v**3 - v**2 + 7*v + 52
What is the b'th term of 23, 63, 117, 185?
7*b**2 + 19*b - 3
What is the o'th term of 1891, 1879, 1853, 1807, 1735, 1631?
-o**3 - o**2 - 2*o + 1895
What is the p'th term of -23355, -23356, -23357, -23358?
-p - 23354
What is the b'th term of -150, -146, -142, -138, -134?
4*b - 154
What is the g'th term of 1278, 1277, 1276, 1275, 1274?
-g + 1279
What is the s'th term of -1156, -1156, -1148, -1126, -1084, -1016?
s**3 - 2*s**2 - s - 1154
What is the z'th term of 1439, 5740, 12907, 22940, 35839, 51604, 70235?
1433*z**2 + 2*z + 4
What is the r'th term of -33, -72, -117, -168, -225, -288, -357?
-3*r**2 - 30*r
What is the z'th term of -15, -24, -33, -42, -51?
-9*z - 6
What is the n'th term of 70, 62, 44, 10, -46, -130?
-n**3 + n**2 - 4*n + 74
What is the a'th term of -24, -173, -584, -1389, -2720, -4709, -7488?
-22
|
{
"pile_set_name": "DM Mathematics"
}
|
377
What are the prime factors of 105307699?
7, 827, 18191
List the prime factors of 420210523.
420210523
List the prime factors of 56382222.
2, 3, 13, 722849
What are the prime factors of 98122249?
17, 5771897
What are the prime factors of 66769618?
2, 33384809
What are the prime factors of 1688675045?
5, 337735009
What are the prime factors of 383236075?
5, 15329443
List the prime factors of 23294293.
11, 2117663
List the prime factors of 4870000029.
3, 19, 53, 241, 6689
List the prime factors of 94915593.
3, 113, 93329
What are the prime factors of 340377130?
2, 5, 53, 557, 1153
List the prime factors of 27886024.
2, 3485753
What are the prime factors of 373940998?
2, 601, 311099
What are the prime factors of 22402405?
5, 4480481
What are the prime factors of 37720142?
2, 2311, 8161
What are the prime factors of 98892008?
2, 557, 22193
What are the prime factors of 745621291?
23, 29, 59, 18947
List the prime factors of 404146690.
2, 5, 31, 487, 2677
List the prime factors of 9044271.
3, 334973
What are the prime factors of 192331853?
7, 331, 83009
List the prime factors of 1764189084.
2, 3, 7, 21002251
List the prime factors of 181368554.
2, 90684277
What are the prime factors of 155548675?
5, 439, 14173
List the prime factors of 91789136.
2, 23, 249427
What are the prime factors of 1073730800?
2, 5, 29, 151, 613
List the prime factors of 174159789.
3, 887, 65449
What are the prime factors of 1075634260?
2, 5, 53781713
List the prime factors of 38757646.
2, 19378823
List the prime factors of 26811325.
5, 983, 1091
List the prime factors of 198078659.
233, 239, 3557
List the prime factors of 651678088.
2, 167, 487783
What are the prime factors of 44876563?
43, 487, 2143
List the prime factors of 213464290.
2, 5, 13, 1642033
What are the prime factors of 793390501?
793390501
What are the prime factors of 70410113?
70410113
What are the prime factors of 26395658?
2, 109, 121081
What are the prime factors of 591858362?
2, 79, 3745939
What are the prime factors of 5213332205?
5, 5393, 193337
List the prime factors of 547952154.
2, 3, 91325359
What are the prime factors of 472106109?
3, 29, 5426507
List the prime factors of 19110091.
7, 11, 13, 17, 1123
What are the prime factors of 199270670?
2, 5, 19, 1048793
What are the prime factors of 1356621555?
3, 5, 90441437
List the prime factors of 126622702.
2, 43, 61, 24137
List the prime factors of 14194256.
2, 887141
List the prime factors of 26429117.
11, 13, 421, 439
List the prime factors of 512024222.
2, 2063, 124097
What are the prime factors of 86000014?
2, 31, 751, 1847
What are the prime factors of 1418306922?
2, 3, 2918327
List the prime factors of 308980171.
211, 359, 4079
List the prime factors of 161544863.
17, 907, 10477
List the prime factors of 242495968.
2, 11, 13, 197, 269
What are the prime factors of 71486038?
2, 13, 43, 1487
What are the prime factors of 84408733?
84408733
What are the prime factors of 208137813?
3, 13, 31, 172157
What are the prime factors of 3368087693?
4241, 794173
What are the prime factors of 1609148573?
1609148573
List the prime factors of 400012926.
2, 3, 647, 103043
List the prime factors of 26198403.
3, 7, 11, 23, 4931
What are the prime factors of 456407240?
2, 5, 617, 18493
List the prime factors of 89106522.
2, 3, 1619, 9173
List the prime factors of 166787186.
2, 83393593
List the prime factors of 3476464126.
2, 149, 2287, 5101
What are the prime factors of 63278449?
13, 53, 91841
What are the prime factors of 3488035099?
53, 223, 421, 701
List the prime factors of 54705001.
13, 4208077
List the prime factors of 27413679.
3, 9137893
List the prime factors of 1559487154.
2, 547, 1425491
What are the prime factors of 629233152?
2, 3, 409657
What are the prime factors of 1721252440?
2, 5, 2089, 20599
List the prime factors of 446825056.
2, 13963283
What are the prime factors of 1035429706?
2, 7297, 70949
What are the prime factors of 355599435?
3, 5, 23, 1030723
What are the prime factors of 5202758628?
2, 3, 16057897
What are the prime factors of 613334629?
23, 661, 40343
List the prime factors of 158677690.
2, 5, 23, 689903
List the prime factors of 258382174.
2, 37, 3491651
What are the prime factors of 256776184?
2, 7, 19, 373, 647
List the prime factors of 3364556493.
3, 673, 1666447
What are the prime factors of 58204588?
2, 13, 1119319
What are the prime factors of 96474146?
2, 48237073
List the prime factors of 204787571.
204787571
What are the prime factors of 69569104?
2, 11, 277, 1427
What are the prime factors of 4035606608?
2, 11, 17, 59, 22861
What are the prime factors of 2513345912?
2, 7, 11, 61, 211, 317
List the prime factors of 3798183520.
2, 5, 17, 53, 26347
List the prime factors of 6059639488.
2, 7, 1932283
What are the prime factors of 101615030?
2, 5, 11, 923773
List the prime factors of 25790431.
25790431
What are the prime factors of 214685004?
2, 3, 17890417
List the prime factors of 518340618.
2, 3, 28796701
List the prime factors of 47672656.
2, 2979541
What are the prime factors of 71056811?
7, 1450139
What are the prime factors of 56239221?
3, 19, 463, 2131
What are the prime factors of 878069377?
878069377
List the prime factors of 21249062.
2, 10624531
What are the prime factors of 2914472834?
2, 7, 13, 43, 372409
What are the prime factors of 81269781?
3, 103, 263009
What are the prime factors of 87987600?
2, 3, 5, 8147
What are the prime factors of 742478987?
10729, 69203
What are the prime factors of 1009496536?
2, 193, 653819
List the prime factors of 12665561.
17, 745033
What are the prime factors of 231187692?
2, 3, 17, 37, 109, 281
List the prime factors of 542593942.
2, 11, 3049, 8089
List the prime factors of 779723534.
2, 7079, 55073
List the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -33*j + 174 = 2*j + 34. Put -0.068, j, -3, 7 in decreasing order.
7, j, -0.068, -3
Let r be (349525/(-33))/25 - 1*-5. Let l = r - -419. Put -0.02, -4, l, -0.1 in ascending order.
-4, -0.1, -0.02, l
Suppose -3*j + 0*s = 5*s - 23, -5*s = -j - 19. Suppose 33 = 4*y + 5*q, -3*y + 5*q = -0*q + 19. Sort j, y, 4 in ascending order.
j, y, 4
Let l(z) = 3*z**2 + 4*z - 4. Let q = 306 + -306. Let f be l(q). Sort 13, f, 0.
f, 0, 13
Let c = 16 - -126. Suppose 5*j + 33 = -c. Let q = j - -37. Put q, -4, -10 in increasing order.
-10, -4, q
Let f = -3286.2 + 3286.2. Put -4, -0.7, 0.5, 1/20, f in ascending order.
-4, -0.7, f, 1/20, 0.5
Let r(b) = 283*b - 845. Let h be r(3). Let x(g) = g**2 - 15*g. Let s be x(15). Suppose 25 = -5*t, s*y = 2*y + 3*t + 21. Sort -1, h, y, -11 in increasing order.
-11, y, -1, h
Let u be (3 - 2) + (4 + -8)/1. Let z(i) = i**3 + 18*i**2 + 16*i - 21. Let s be z(-17). Sort s, 3, u, -41 in descending order.
3, u, s, -41
Let u = 1 + 2. Let k = -26423 + 26411. Sort k, -1, 4, u in decreasing order.
4, u, -1, k
Suppose 2*x - 51*d - 41 = -46*d, -3*x = 5*d - 49. Let j = 4 + -6. Let m be (j - -1)*(2 - 3). Sort m, x, 4.
m, 4, x
Let o(u) = u**3 + 11*u**2 + 24*u + 34. Let c be o(-10). Sort 4, c, 9, -3 in increasing order.
c, -3, 4, 9
Let t be (0 + 24/(-14))*(-18)/(-36). Let x = t + 116/119. Let d = -1.2 - -1. Put x, d, 2/9 in descending order.
2/9, x, d
Let g = -1.1 + 4.18. Let o = -0.08 + g. Let n = 154.8 + -154.4. Sort o, n, -2/13 in descending order.
o, n, -2/13
Let n = -5 - -5.3. Let c = -195.6 - -380.9. Let t = 185 - c. Sort n, 9, 1, t in decreasing order.
9, 1, n, t
Let u be 9/6*(-9 + -25). Let v = 254 + -119. Let j be 8/36 - u/v. Sort -22, -0.2, j in decreasing order.
j, -0.2, -22
Let l = -320.1 + 300. Let j = l + 20. Let b be (3 - 67/22)*1. Put b, -1/4, j in decreasing order.
b, j, -1/4
Let f = 1915.484 - 1915.4. Sort -0.3, -2/5, 1, f, 0.5.
-2/5, -0.3, f, 0.5, 1
Let c = 9 - 6. Let h = 280.833 - -0.167. Let b = h + -284. Put 4, c, b, 2 in descending order.
4, c, 2, b
Let u = 8648 - 8649. Sort u, 139, 1 in descending order.
139, 1, u
Suppose 112*s - 30*s - 273 = 55. Sort -1/102, 3/7, -1/7, s, -0.5 in increasing order.
-0.5, -1/7, -1/102, 3/7, s
Let g(p) = 44*p**2 - 87*p**2 - 6*p - 3 + 42*p**2. Let r be g(-2). Sort -2, r, 2 in ascending order.
-2, 2, r
Suppose -544*a = -130*a + 1242. Let o = -6 + -4. Sort -4, o, a in descending order.
a, -4, o
Let g = 0.24 - 0.216. Let j = 0.065 + g. Let a = -0.011 - j. Sort a, -0.5, 3, -4 in increasing order.
-4, -0.5, a, 3
Let v = 0.08211 - 0.12211. Put -3, v, -1/2, -24 in decreasing order.
v, -1/2, -3, -24
Suppose -4*g + 5*q = -6 + 8, 4*q = 8. Suppose 0 = -g*z - 5*i - 7, -2*i + 7*i = 2*z - 3. Suppose 2*v - 3 = -v. Sort v, 13, z in descending order.
13, v, z
Let j(z) = 23*z + 10. Let l(x) = -142*x - 59. Let t(g) = -37*j(g) - 6*l(g). Let b be 32/(-6)*(1 - 4). Let k be t(b). Sort k, 1, 4, 5.
k, 1, 4, 5
Let i be 4/14 + (-2)/7. Suppose i = -u - u + 6. Suppose 51*r - 61*r + 280 = 0. Put r, 2, u in increasing order.
2, u, r
Let l = 1.304 - 0.304. Suppose 5*a + 2*c = -54, 0 = a + c + 12. Let b be a/15 - 15/(-36). Sort 3, l, -1, b.
-1, b, l, 3
Let u = 11 + -7.1. Let h = u - 3.9. Let w = 0.0664 + -1.0664. Sort w, h, -5, 0.3 in increasing order.
-5, w, h, 0.3
Suppose -154*i - 66842 = 8156. Put 3, -2, -12, i in decreasing order.
3, -2, -12, i
Suppose 2*i - o - 1 - 2 = 0, -4*o = 5*i - 40. Let c(x) = -2*x + 19. Let q be c(8). Suppose 19*b = 20*b - q. Put i, b, -1 in descending order.
i, b, -1
Let i = -13.033 + 12.033. Put 52, 3, i in decreasing order.
52, 3, i
Suppose 2 = 2*t - y, 13*y = 18*y - 20. Sort 0, -1/16, 0.2, t.
-1/16, 0, 0.2, t
Let u = -2604.7 - -2605. Let k = 0.9 - 3.9. Let x = k - -8. Put x, u, -5 in ascending order.
-5, u, x
Let d = 28588 + -28584. Sort -6, 5, -7, d.
-7, -6, d, 5
Let g be -1 - 21 - (0/20)/11. Suppose -4*c - 4*l - 10 = -2*l, 4*c + 3*l + 9 = 0. Put g, c, -4 in descending order.
c, -4, g
Let c = -32 - 1049. Sort 5, c, 1, 3 in ascending order.
c, 1, 3, 5
Let k = -2105 - -2122. Let y = -5 + 1. Let u(z) = -z. Let n be u(y). Put -5, k, n in ascending order.
-5, n, k
Let o be 6/32*2 - (-
|
{
"pile_set_name": "DM Mathematics"
}
|
ate -13 + 36*j**q + 30*j**4 - 45*j**4 wrt j.
84*j**3
What is the third derivative of 503*q**2 - 8*q**4 + 17551*q**3 - q**4 + 9*q**5 - 17551*q**3 wrt q?
540*q**2 - 216*q
Let m(a) = -a**3 - 2*a**2 - 2. Let d be m(-3). Suppose 2*o + 10 = d*o. Find the second derivative of 7*p**2 - 5*p - 12*p**o + p wrt p.
-10
Let y(o) = 9*o**6 - 2*o**5 - o**2 - 39. Let r(v) = 36*v**6 - 9*v**5 - 5*v**2 - 157. Let x(m) = -2*r(m) + 9*y(m). Find the third derivative of x(q) wrt q.
1080*q**3
Suppose -5*h + 3*h = 4*t + 2, 5*h = t + 17. Differentiate -h*a + 10 - 10*a - 7 wrt a.
-13
Let i(a) be the second derivative of -a**8/28 + 11*a**7/14 - 6*a**4 - 2*a - 21. Find the third derivative of i(j) wrt j.
-240*j**3 + 1980*j**2
Let l be 0 + (-6)/2 - (1 + -111). Differentiate 14*s**3 - 6*s**3 - 120 + l wrt s.
24*s**2
Suppose -3*a + 5*a - 20 = 0. Find the first derivative of 18 + a*o - o - 24 wrt o.
9
Let q(c) = -136*c**3 - 4*c**2 - 4*c + 46. Let i(g) = -137*g**3 - 6*g**2 - 6*g + 47. Let v(d) = 2*i(d) - 3*q(d). What is the first derivative of v(r) wrt r?
402*r**2
Let s(c) be the second derivative of 0 + 0*c**2 - 7/20*c**5 + 11*c + 0*c**4 + 7/3*c**3. Find the second derivative of s(r) wrt r.
-42*r
Differentiate 275 + 18*p**4 + 4*p - 23*p**4 + 9*p**4 with respect to p.
16*p**3 + 4
Let v(k) be the second derivative of 0*k**6 + 0*k**5 - k**3 + 13/42*k**7 - k + 0*k**2 + 0*k**4 + 0. What is the second derivative of v(a) wrt a?
260*a**3
Suppose -9 = 3*c + 4*v, 0 = 2*c - 5*v + 4*v + 6. Let f be ((-60)/(-8))/c*-2. Find the second derivative of x**f + 0*x**5 + 4*x - 6*x**5 wrt x.
-100*x**3
Suppose -23*w + 72 = w. Let l(u) be the second derivative of 1/6*u**4 + 0*u**3 + 0 + 1/2*u**2 + w*u. Differentiate l(i) with respect to i.
4*i
Let l(y) be the first derivative of -28*y**6/3 - 103*y**2/2 - 60. Find the second derivative of l(m) wrt m.
-1120*m**3
Let m(l) be the first derivative of 227*l**7/7 - 107*l**3/3 - 303. What is the third derivative of m(v) wrt v?
27240*v**3
Let a(x) = -31*x**3 + 9*x**2 - 10*x - 115. Let t(c) = -16*c**3 + 4*c**2 - 4*c - 57. Let b(h) = -2*a(h) + 5*t(h). Differentiate b(z) with respect to z.
-54*z**2 + 4*z
Let g(i) be the second derivative of i**8/420 + 11*i**4/24 + 4*i**3/3 - 2*i. Let r(w) be the second derivative of g(w). Differentiate r(m) wrt m.
16*m**3
Let h(f) = -3*f**2 + f + 2. Let v(t) = -589*t**2 - 107*t + 12. Let k(b) = -6*h(b) + v(b). Find the second derivative of k(l) wrt l.
-1142
Let d(s) = s - 3. Let t be d(13). Find the third derivative of -34*f**2 - 3*f**3 - 54 - t*f**4 + 0*f**3 + 54 wrt f.
-240*f - 18
Let p(t) = -3*t - 19. Let g(b) = b + 6. Let z(h) = -11*g(h) - 4*p(h). Let i(l) = l - 1. Let d(r) = -4*i(r) + z(r). What is the first derivative of d(m) wrt m?
-3
Let y(d) = 6*d**2 + 64*d - 20. Let v be y(-11). Let m(w) be the first derivative of 1/3*w**3 - 5/2*w**v + 0*w + 2. Find the second derivative of m(q) wrt q.
2
Let x(h) be the second derivative of 53*h**3/3 - 39*h**2 + 7*h + 6. Differentiate x(o) wrt o.
106
What is the first derivative of -31*p**3 - 41 + 316 + 82*p**3 + 5*p**3 - 2*p**4 wrt p?
-8*p**3 + 168*p**2
Let s = 52 + -46. Find the second derivative of -12*x + s*x**4 - x - 5*x**4 + 5*x**4 wrt x.
72*x**2
Let o(w) = -w**2 - w. Let u(n) = -183*n**3 + 61*n**2 + 61*n + 366. Let y(z) = -61*o(z) - u(z). Differentiate y(x) wrt x.
549*x**2
Let j(d) be the third derivative of -d**8/1344 + d**5/10 + 17*d**4/24 - 27*d**2. Let w(c) be the second derivative of j(c). Differentiate w(i) wrt i.
-15*i**2
Let g(h) be the first derivative of h**2 + 0*h + 0*h**4 + 0*h**3 + 0*h**5 - 9 + 8/3*h**6. What is the second derivative of g(p) wrt p?
320*p**3
Let h(d) be the second derivative of 0 + 2/3*d**4 + 0*d**7 + 9*d + 0*d**6 + 0*d**2 + 0*d**3 + 0*d**5 - 3/28*d**8. What is the third derivative of h(c) wrt c?
-720*c**3
Let r(a) be the second derivative of 3/7*a**7 + 0 + 0*a**5 - 6*a + 0*a**4 - 1/3*a**3 + 0*a**6 + 0*a**2. Find the second derivative of r(n) wrt n.
360*n**3
Let i be (-1 - 1)*(-2)/(-4). Let q(a) = -a - 1. Let p be q(i). Find the second derivative of p*s - 5*s**2 - 6*s - 2*s wrt s.
-10
Let l(k) be the first derivative of -3*k**6/40 + k**5/10 + 2*k**2 + 3. Let d(c) be the second derivative of l(c). What is the third derivative of d(a) wrt a?
-54
Find the third derivative of -1517*s**4 + 1517*s**4 + 4*s**2 - 8*s**2 + 69*s**6 wrt s.
8280*s**3
Let k(i) be
|
{
"pile_set_name": "DM Mathematics"
}
|
from rvwv?
1/12
What is prob of sequence tc when two letters picked without replacement from cccwcwhwccwstclhl?
7/272
Calculate prob of sequence jzjt when four letters picked without replacement from {i: 3, a: 1, j: 5, t: 1, z: 1, l: 4}.
1/1638
Calculate prob of sequence znky when four letters picked without replacement from {q: 2, k: 3, n: 1, z: 1, y: 4, b: 1}.
1/990
What is prob of sequence dt when two letters picked without replacement from {v: 3, t: 1, d: 3, n: 1, l: 1, s: 2}?
3/110
Calculate prob of sequence ege when three letters picked without replacement from eeg.
1/3
Two letters picked without replacement from jsjjcjjjijzbbiizj. What is prob of sequence ii?
3/136
What is prob of sequence ycc when three letters picked without replacement from {y: 3, c: 8}?
28/165
Three letters picked without replacement from hzlwe. Give prob of sequence elh.
1/60
Three letters picked without replacement from qlqqlllqqlt. What is prob of sequence llt?
2/99
What is prob of sequence pie when three letters picked without replacement from ppipppepppp?
1/110
Three letters picked without replacement from {p: 2, b: 3, w: 7, s: 3}. What is prob of sequence bsw?
3/130
What is prob of sequence ccn when three letters picked without replacement from ccccccccccccccccncc?
1/19
What is prob of sequence kk when two letters picked without replacement from {k: 3, g: 1, w: 5, j: 8, n: 2}?
1/57
Calculate prob of sequence hs when two letters picked without replacement from hyyyssysssssyy.
1/26
What is prob of sequence axva when four letters picked without replacement from lblaalvvavlxlv?
1/1001
Calculate prob of sequence knn when three letters picked without replacement from nnnnnknk.
5/28
Two letters picked without replacement from {s: 1, i: 1, r: 1, o: 1, v: 2, h: 2}. What is prob of sequence hr?
1/28
What is prob of sequence ada when three letters picked without replacement from wwdawaaawadw?
1/33
What is prob of sequence ppr when three letters picked without replacement from kprpr?
1/15
Three letters picked without replacement from {v: 6, p: 1, d: 2, j: 5, z: 1}. Give prob of sequence pjj.
2/273
Calculate prob of sequence ennn when four letters picked without replacement from ejjeeeenjjeejjejejj.
0
Calculate prob of sequence nnzn when four letters picked without replacement from {n: 11, z: 2}.
3/26
Calculate prob of sequence nnn when three letters picked without replacement from {n: 9}.
1
Two letters picked without replacement from zvvfauifafafavziff. Give prob of sequence fi.
2/51
Calculate prob of sequence wu when two letters picked without replacement from wuyyejuwww.
4/45
Calculate prob of sequence wghh when four letters picked without replacement from {w: 3, h: 3, g: 2}.
3/140
Four letters picked without replacement from {c: 1, o: 4, h: 3, i: 4, u: 4}. Give prob of sequence uuic.
1/910
What is prob of sequence odr when three letters picked without replacement from {r: 1, d: 1, o: 1, l: 2}?
1/60
Calculate prob of sequence iiz when three letters picked without replacement from zbliiirbibiw.
1/66
Four letters picked without replacement from vyybyyvvvvvdvbyyqv. What is prob of sequence yyyv?
2/153
What is prob of sequence aikt when four letters picked without replacement from {i: 1, k: 4, a: 7, w: 2, t: 1}?
1/1170
Two letters picked without replacement from {e: 8, o: 2, f: 1, w: 7, u: 1}. What is prob of sequence wf?
7/342
What is prob of sequence xhx when three letters picked without replacement from {h: 2, x: 2, f: 1}?
1/15
Calculate prob of sequence ff when two letters picked without replacement from ffvvvff.
2/7
Four letters picked without replacement from {h: 2, n: 1, x: 1, v: 5}. Give prob of sequence xhhn.
1/1512
Calculate prob of sequence dd when two letters picked without replacement from {t: 7, d: 7}.
3/13
Calculate prob of sequence mbc when three letters picked without replacement from {b: 1, t: 1, s: 1, c: 2, m: 1, d: 1}.
1/105
What is prob of sequence zz when two letters picked without replacement from {k: 2, w: 7, h: 1, z: 3, a: 1}?
3/91
Four letters picked without replacement from {l: 5}. What is prob of sequence llll?
1
Two letters picked without replacement from bhvshbhhh. Give prob of sequence hb.
5/36
Two letters picked without replacement from {x: 1, y: 1, z: 1, q: 10, l: 7}. Give prob of sequence ll.
21/190
Calculate prob of sequence zh when two letters picked without replacement from zititicznnnhiinci.
1/136
Calculate prob of sequence uduu when four letters picked without replacement from diuuuuuiiiduuui.
4/195
What is prob of sequence bwdj when four letters picked without replacement from {g: 1, j: 1, d: 1, i: 5, w: 7, b: 4}?
7/23256
Calculate prob of sequence yy when two letters picked without replacement from {k: 1, m: 6, c: 2, x: 2, z: 2, y: 4}.
3/68
What is prob of sequence sx when two letters picked without replacement from xbbbsxsx?
3/28
Four letters picked without replacement from ggvvvvvvgvgvgvvv. Give prob of sequence gvgg.
11/728
Calculate prob of sequence lelw when four letters picked without replacement from elqqqmexqxqqlqmwmqm.
1/23256
Two letters picked without replacement from {b: 4, l: 15}. What is prob of sequence bl?
10/57
Calculate prob of sequence gn when two letters picked without replacement from tttxxtnhtnvtgtt.
1/105
Calculate prob of sequence mm when two letters picked without replacement from {m: 2, h: 2}.
1/6
Four letters picked without replacement from kkffffk. What is prob of sequence kkkk?
0
Calculate prob of sequence sua when three letters picked without replacement from {y: 6, u: 1, k: 6, s: 1, t: 1, a: 3}.
1/1632
Two letters picked without replacement from {e: 3, w: 4, k: 2, b: 2, m: 2}. What is prob of sequence bm?
1/39
Four letters picked without replacement from {d: 3, h: 1, b: 1, q: 4, m: 4, v: 2}. What is prob of sequence hdmv?
1/1365
Two letters picked without replacement from {q: 3, p: 3, c: 3, m: 3, t: 1, f: 5}. What is prob of sequence qp?
1/34
Two letters picked without replacement from {x: 1, v: 1, q: 1, p: 2, y: 4}. What is prob of sequence qv?
1/72
Calculate prob of sequence nkl when three letters picked without replacement from {c: 3, o: 2, k: 1, n: 3, a: 6, l: 5}.
1/456
Calculate prob of sequence hch when three letters picked without replacement from {e: 5, c: 1, j: 3, h: 4}.
1/143
Four letters picked without replacement from hjhjjjhjhj. What is prob of sequence jhjj?
2/21
What is prob of sequence cggg when four letters picked without replacement from {c: 2, g: 6}?
1/7
What is prob of sequence uu when two letters picked without replacement from uuyubkbuyybubbuub?
21/136
Calculate prob of sequence wfo when three letters picked without replacement from pwwwwwapwfooaawa.
1/240
Three letters picked without replacement from {
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*i**2 + 13*i - 10. Let z(d) = -4*u(d) - 7*y(d). Calculate z(8).
-2
Let r = -11 + 18. Let v(d) = -9*d**3 + 3 - 8*d + 11*d**3 - 6*d**2 - d**3. What is v(r)?
-4
Let r(z) = 3*z + 1. Let k be (-8)/(-100) - (-992)/100. Determine r(k).
31
Let d(n) = -n**2 - 5*n + 12. Let u be d(-6). Let r(k) = k - 7. Let i be r(u). Let s(p) = -11*p**2 - 1. Determine s(i).
-12
Let k be (-6)/(-9)*(-3)/2. Let j be (1/2)/(k/6). Let z(n) = 8*n + 2. Let l(v) = -v. Let u(x) = 4*l(x) + z(x). What is u(j)?
-10
Suppose 3*o - 3*w - 15 = 0, 0 = -6*o + 2*o - w + 15. Let r(k) = -6*k**3 + 2*k**3 + 3*k**3 - 2*k + 0*k**3 - 1 + 5*k**2. Calculate r(o).
7
Let z = -13 + 16. Let f(u) = 5 + u**2 - 3*u - 7 - z - 4*u. Calculate f(8).
3
Let z(i) = 733*i - 733*i - 26*i**2. Determine z(1).
-26
Let l(j) = 6*j**2 - 6*j - 5. Let q(m) = -m**3 + 5*m**2 + 5*m + 5. Let w be q(6). Let y be l(w). Let s(o) = o**2 - 7*o + 6. Determine s(y).
6
Let k(n) = n**3 - n**2. Let g be (-1)/((-2 + 1)*1). Suppose -13*i = -12*i + 5. Let r(q) = 6*q**3 - 11*q**2 - 3. Let u(o) = g*r(o) + i*k(o). Calculate u(6).
-3
Suppose -3*t + 30 = 2*t. Let a(m) = 6*m**2 + m - 1. Let o(i) = -29*i**2 - 13*i + 12. Let r(p) = -5*a(p) - o(p). What is r(t)?
5
Let t(s) = s. Let p(a) = -a. Let w(x) = -5*p(x) + t(x). Calculate w(1).
6
Suppose -81 = -3*k - 4*t - 20, -57 = -3*k - 3*t. Suppose -k*n + 3*n + 0*n = 0. Let b(x) = -x**2 - x - 16. Determine b(n).
-16
Let i(c) = -3*c + 25. Let g(s) = -12*s + 107. Let j(q) = -2*g(q) + 9*i(q). What is j(11)?
-22
Let k(z) = z**2 - 7*z + 5. Let o be k(6). Let n = 6 + o. Let w(t) = -30*t**2 + 0*t - 3*t + 31*t**2 + 0*t. What is w(n)?
10
Let b(h) = -3*h - 1. Let a be b(-3). Let u = a + -6. Let l(x) = -3*x - 2 - 1 + 8*x - 3*x. Give l(u).
1
Let x = 16 + -10. Suppose 0 = -4*j + x*j - 6. Let f(s) = -s**2 + 7*s - 1. Let r(u) = -u**2 + 9*u - 2. Let z(g) = 3*f(g) - 2*r(g). Determine z(j).
1
Let x(y) = -y**2 - 12*y - 19. Let q be (-6)/4*(-1184)/(-222). Calculate x(q).
13
Suppose 48*b + 3*b + 561 = 0. Let d(l) = -l**3 - 12*l**2 - 11*l + 6. Give d(b).
6
Let k(m) = -m**3 + 3*m - 2. Let l be (-10)/25 + (-51)/(-15). Determine k(l).
-20
Suppose 2*v + 145 = -3*q, 5*v - 5*q + 79 = 4*v. Let r = 80 + v. Let s(g) = -g**2 + 7*g + 4. Calculate s(r).
10
Let m(c) = -c**3 + 6*c**2 - c + 2. Let t = 85 + -47. Suppose -3*k = -3*p + 30, k + k + t = 5*p. What is m(p)?
-4
Let k be 4 + (-2 - (-20)/8)*0. Let w(a) = a**2 - k - 7*a + 18*a + 2 - 6. Calculate w(-12).
4
Let g(d) be the first derivative of -1/2*d**2 + 1/3*d**3 - 12 + d. Give g(1).
1
Let f(a) be the third derivative of a**4/8 + 67*a**3/6 + 21*a**2 - 7. Determine f(-25).
-8
Let k(u) be the first derivative of u**3/3 - 17*u**2/2 - 22*u - 164. Give k(17).
-22
Let t(q) = 10*q**2 + 10*q - 1. Let m(j) = 12*j**2 + 12*j - 2. Let u(h) = -4*m(h) + 5*t(h). Suppose 4*c - 3*p = p - 28, -c - p + 3 = 0. What is u(c)?
7
Let p(r) = -5. Let h(v) = -v**2 + 10*v - 22. Let s(y) = -h(y) + 2*p(y). Suppose 28 = 2*l + 10. Give s(l).
3
Let t(v) = -1 + 3*v**2 - 1 - 2*v**2 - v - 6*v. Suppose -j + 439 - 432 = 0. What is t(j)?
-2
Let d be -4 + 15/5 - -1. Let c(l) = -l**2 - 10. Calculate c(d).
-10
Suppose 2*d = -0*d. Let u(v) = -v**3 + v**2 + v + 2. Let t be u(d). Let h(o) = 12*o**3 - 2 + o - o**t - 28*o**3 + 17*o**3 - o**2. Determine h(2).
0
Let p = -12 + 18. Suppose 0 = -p*i + 11*i - 10. Let r(k) = 11*k - 19*k + 3 + 1 + k**i + 9*k. What is r(0)?
4
Suppose 1 = l + 5. Let d(u) = -u**3 - 11*u**2 + 5*u + 4. Let b(r) = -4*r**3 - 48*r**2 + 20*r + 16. Let w(t) = -2*b(t) + 9*d(t). What is w(l)?
0
Let i(h) = 11*h**3 + 2*h**2 - 2*h. Let u be i(1). Let o(q) = -q**2 + 11*q - 8. Give o(u).
-8
Let h(w) = -w**2 + w + 1. Let b(t) be the first derivative of -3*t**2 + 5*t - 140. Let z be ((-8)/6)/((-6)/9). Let k(m) = z*h(m) - b(m). Calculate k(5).
-13
Let v(f) = -3*f**3 - 32*f**2 + 8*f -
|
{
"pile_set_name": "DM Mathematics"
}
|
c.
2, 5
Let o(x) = -8*x + 27. Let m = 128 + -34. Suppose -7*w - 25 - m = 0. What are the prime factors of o(w)?
163
Let t(x) = -x**2 + 5*x + 8. Let p be t(5). Suppose -3*k - 7 - p = 0. List the prime factors of 0 + (k*1)/(4/(-52)).
5, 13
Suppose 4*q - 20 = 0, 4*c - 3*q = 2*c - 7. Suppose -196 = -3*s - c*g, -3*s + 172 = 2*g - 4*g. What are the prime factors of s?
2, 3, 5
Let g(h) = h**2 - 23*h - 53. Let k be g(25). Let i(o) = -2*o**2 - o. Let r be i(-1). List the prime factors of 1/r*486/k.
2, 3
Let f(r) = -277*r + 104. List the prime factors of f(-26).
2, 13, 281
Let o(t) = -t - 12. Let u be o(3). Let g be ((-24)/(-15))/((-6)/u). Suppose g*b = 3*b + 78. List the prime factors of b.
2, 3, 13
Suppose -2*q + 3*h + 49 = 0, 0 = -q + 6*h - 2*h + 32. Suppose -46 = -6*f + q. Suppose 34 = f*s - 87. What are the prime factors of s?
11
Let j(m) = m**2 + 9*m - 6. Let a be j(-10). Suppose l + a*v = 352, 4*l + v - 742 = 681. List the prime factors of l.
2, 89
Suppose 0 = -14*i - 64 + 78. Let l(j) = -j**2 - 3*j + 17. Let p be l(12). What are the prime factors of (-2)/6*(p*2 - i)?
109
Let s(t) = -32*t + 3*t**3 - 26*t - 29*t - 10*t**2 + 85*t + 18. What are the prime factors of s(5)?
7, 19
Suppose -41*l = -39*l - 4*z - 35832, -4*z = -4*l + 71672. What are the prime factors of l?
2, 5, 7
Let j be 11 + 42/(-7) + -502. Let n = 1389 + j. List the prime factors of n.
2, 223
Suppose v + 3*j = 59082, -5*j + 199706 = 5*v - 95764. What are the prime factors of v?
2, 3, 5, 197
Let g be 660 - -5*(-8)/(-8). Let i = -350 + g. What are the prime factors of i?
3, 5, 7
Let i(d) = -d**3 - d**2 - 3*d - 1703. Let j be i(0). Let q = j - -2507. What are the prime factors of q?
2, 3, 67
Let p(a) = -a**3 - 13*a**2 - 2*a + 10. Let u be 6/(-15) + -5 + 148/20. Suppose -2*z + c - 25 + u = 0, -3*z - 48 = 3*c. List the prime factors of p(z).
2, 3
Let y(k) = k**3 - 7*k**2 - 34*k + 27. Suppose 8*n = 43 + 61. List the prime factors of y(n).
599
Suppose 1 = -i + 3*g + 7, -2*g - 4 = 3*i. Let b be 87 + (i/5)/3. List the prime factors of b + 5*(-2)/(-10).
2, 11
Let r be 33/5 - (-8)/20. Suppose -14*c = -r*c. Suppose -3*k - 2*n + 119 = c, -k + 166 = 3*k - n. List the prime factors of k.
41
Suppose 4*w = 2*y + 100674, 10*w + 5*y = 12*w - 50309. What are the prime factors of w?
2, 7, 29, 31
Let n(h) = 349*h - 7361. List the prime factors of n(61).
2, 1741
Let t(j) = -209*j**3 + 16*j + 169. List the prime factors of t(-5).
2, 3, 17, 257
Suppose -12*i = -7*i - 735. Suppose -3*p = q - 471, 2*q + i = 2*p + 1049. What are the prime factors of q?
2, 3, 19
Let g(a) = a**3 - 6*a**2 - 8*a + 2. Let z be g(7). Let y be (-3)/(-27)*3 - (-136)/6. Let r = z + y. List the prime factors of r.
2, 3
Let w = -834 - -93. What are the prime factors of (0 - 2/(-13)) + (-309624)/w?
2, 11, 19
Let q be (0*(27/6)/9)/(-1). Suppose 10*c - 4*c - 3036 = q. What are the prime factors of c?
2, 11, 23
Suppose 3*k - 2*q = 3197 + 510, 2*k - 5*q - 2486 = 0. Suppose 4*i = f - 424, -7*f - i + k = -4*f. What are the prime factors of f?
2, 103
Suppose -12*k + 16*k + 4 = 0, -5*z + 110960 = 5*k. What are the prime factors of z?
22193
Suppose -110*k + 263417 = 11*k. What are the prime factors of k?
7, 311
Suppose -5*j = 2*x - 6*x + 76, -4*x - 2*j = -76. Let v(q) = -2*q**2 - 26 + 2*q**2 - q**3 + x*q**2 + 3*q. List the prime factors of v(19).
31
Suppose -14*n = -28945 + 1365. Suppose 6 = -a + 1, 5*a = -5*o + n. What are the prime factors of o?
3, 7, 19
Let r(x) = -4*x**3 - 7*x**2 - 6*x - 16. Let p be r(-8). Suppose -803 = -3*z - 5*m, -4*z + p = -m + 569. List the prime factors of z.
2, 7, 19
Let r = -154 - 117. Let y = -97 - r. What are the prime factors of y/5 + (-4)/(-20)?
5, 7
Let u = -1511 - -401. Let h = -667 - u. List the prime factors of h.
443
Suppose 20 = -227*h + 232*h. Suppose 0 = h*m + 4*i - 2828, -m + 2*m = 3*i + 719. What are the prime factors of m?
2, 5, 71
Let n = 99 + 337. Suppose d - 4*b = 25, -b = -22*d + 23*d. Suppose 0 = -d*z + 4*s + n, -2 + 6 = -s. What are the prime factors of z?
2, 3, 7
Let t(g) be the third derivative of 17*g**5/60 + 7*g**4/24 + 25*g**3/6 + 3*g**2. Let a(c) be the first derivative of t(c). List the prime factors of a(3).
109
Let r be 1/((-7)/2) + 9750/21. Suppose -9*o + r = -670. Suppose -28 + o = 2*q - n, -q - 5*n = -49. What are the prime factors of q?
7
What are the prime factors of (3/(-6*(-9)/19920))/((-3)/(-9))?
2, 5, 83
Let x be (0 - 1)/(2/12). Let v(y) = 2*y - 270269*y**2 - 2 - 6 + 270275*y**2. What are the prime factors of v(x)?
2, 7
Suppose 3*w + 4*w - 42 = 0. Suppose 0 = w*d + 3*d - 1359. List the prime factors of d.
151
Let m be -8
|
{
"pile_set_name": "DM Mathematics"
}
|
*a - 3. Let g(q) be the second derivative of 7*q**4/12 + q**3/2 + 9*q**2/2 - 9*q. Is g(k) a prime number?
True
Suppose 85*m - 19*m - 77117 = -m. Is m prime?
True
Let r = 830 - 588. Suppose -3*k + 2609 = r. Is k composite?
True
Let f = 2547 + -134. Is f - ((-108)/(-48) - (-2)/(-8)) a composite number?
False
Suppose q = 2*c + 194120 + 92399, q - 3*c = 286522. Is q a prime number?
True
Let o = 7521 + -4778. Is o composite?
True
Suppose 4*z + 8 = 6*z. Suppose -z*t - 2*t + 3078 = 0. Is -8 + 9 + 0 + t a composite number?
True
Let a(i) = -26*i + 12. Let b be a(-9). Let t = 154 - 152. Suppose b = t*r - 572. Is r composite?
False
Let b = -80 + 136. Suppose -8 + b = 4*c. Suppose -10*h - 2078 = -c*h. Is h prime?
True
Let k(c) = -164*c**3 - 86*c**2 + 17*c + 58. Is k(-5) a composite number?
True
Let x = 141724 - 29831. Is x composite?
False
Let x(o) = 4*o + 52. Let n be x(8). Suppose -n*m + 12436 = -80*m. Is m prime?
True
Suppose -53*a = -394*a + 8774953. Is a prime?
True
Let a = -110018 + 264841. Is a composite?
False
Suppose 44*g - 6471138 = 6015314. Is g a prime number?
False
Let y = 10920 - 15473. Let k = y + 8994. Is k prime?
True
Suppose -10 + 2 = -2*g. Suppose g*s - 2*k = -150, -2*s - 4*k = -s + 24. Is 3*(1/(-2) - 15126/s) composite?
False
Suppose r - 9*v = -7*v + 1573759, 0 = 4*r + 2*v - 6295106. Is r a composite number?
True
Let h(c) = 2381*c + 1287. Is h(16) a prime number?
True
Let r(d) = d**2 - 13*d - 6. Let p be r(14). Let t = 27 + -221. Is t/6*p/((-16)/66) prime?
False
Suppose -4*m + 411 = 4*w - 5*m, -4*w + 3*m + 417 = 0. Let s = 1504 - w. Is s a prime number?
False
Let p = 2242 + -623. Suppose -4*a = -905 - p. Is a composite?
False
Let w(q) = 17*q**2 + 14*q + 30. Suppose 41*s - 37*s = -12. Is w(s) a prime number?
False
Let x(u) = 78*u**3 + 13*u**2 - 4*u + 40. Is x(7) a prime number?
False
Suppose -138925 = 48*s - 6501373. Is s a prime number?
False
Let f(g) = 836*g. Let y be f(2). Let p = y - -1681. Is p a prime number?
False
Let f = 2 + 41. Let y = f + 786. Is y a composite number?
False
Let f(b) = -14 - 6*b**2 - 11 + 6*b - b**3 + 25*b**2. Suppose 0 = -58*i - 0*i + 638. Is f(i) prime?
True
Let v(s) = s**3 - 5*s**2 + 7*s - 1. Let p be v(3). Suppose -57 = -5*i + b, i + p*b - 14 = 4. Suppose i*q - 9*q = 4707. Is q composite?
True
Let j be -10*((-2)/20)/((-2)/8). Let f be (j/20*0)/(1 + -3). Suppose 4*u - 13*u + 5283 = f. Is u a prime number?
True
Let y(r) = r**3 - 15*r**2 + 20*r - 11. Suppose 3*g - 93 = 36. Let a = g - 26. Is y(a) prime?
True
Suppose 2*l - 544 = 4*u, -5*l = 5*u + 649 - 1964. Suppose -x - 2*x - b = -399, 0 = -2*x + 2*b + l. Is x a composite number?
True
Let j be (72310/175)/(2/15). Let t = 6476 - j. Is t a composite number?
True
Let g = 76 - 49. Let v(u) = -14 - 73*u + g*u - 74*u - 45*u. Is v(-5) a composite number?
False
Let r be (1 + (-18)/(-6))/((-1)/(-6784)). Suppose 0 = 51*n - r - 2801. Is n composite?
False
Let j = -2966 - -27031. Is j prime?
False
Suppose 49*l - 78008352 = -28*l - 19*l. Is l prime?
True
Let w(k) = k**3 - 12*k**2 + 7*k - 5. Let y be w(11). Let p = 54 + y. Suppose -2*o - 5*q = -78, p*o - 195 = 3*q + q. Is o a composite number?
True
Let q(u) = 5*u - 9. Let a be q(-2). Let g(t) = 6*t**3 - 22*t + 7*t**2 + 12 - 7*t**3 - 27*t**2. Is g(a) composite?
True
Is (-17 + 260/15)*396237 prime?
False
Suppose -4*f = -5*w + 17, 38*f - 34*f = 4*w - 12. Suppose 0 = 3*d + 3, -3*d = w*l - 7*d - 2939. Is l composite?
False
Suppose -2*m = -695 + 687. Is 382481/77 + m/(-14) a prime number?
True
Let j(b) = -10267*b - 23 + 10238*b + 232. Is j(-12) a prime number?
True
Let q(b) = -b**3 + 18*b**2 + 19*b + 7. Let y be q(19). Let s be (y - 155/15) + 4/(-6). Is 1/(1/s + (-221)/(-868)) prime?
False
Suppose 50*y - 40*y = 40. Suppose j + 2*j - i = 5402, 0 = -4*i + y. Is j a composite number?
False
Let o(u) be the third derivative of 3*u**4/4 + 7*u**3/6 - 5*u**2. Suppose -2*f + 0*f = q - 20, -f - 4 = 4*q. Is o(f) composite?
False
Suppose -23 - 5 = 2*w - 3*p, -2*w = -p + 36. Is (-8)/w*32231 - 21/(-35) composite?
False
Is (757496/(-4))/(-16 - (-19 + 5)) a prime number?
True
Let v be (7 - 3) + 4/(-1)*1. Suppose v = 5*k - 2*q - 23921, -6*q + 5*q - 19135 = -4*k. Is k prime?
True
Let z(w) = w**3 - 7*w**2 - 12*w - 13. Let i = 64 + -54. Is z(i) prime?
True
Let u = 12 - -6. Suppose -14*a = -8*a - u. Is -2 - 2 - -6252 - 0 - a a composite number?
True
Suppose -4*j = 3*h - 878342, -2*h = -3*j + 305128 + 353637. Is j a prime number?
True
Is (1219/(-46) + 23)*(-2525716)/14 prime?
True
Suppose -5*w = -5*n - 5549895, -2*n = -2
|
{
"pile_set_name": "DM Mathematics"
}
|
?
61
Evaluate (-20 - (25 - 22)) + 7 - -54.
38
Evaluate 17 - (-54 - -53 - -47).
-29
119 + (-20 - (72 + -82 + (1 - 2) + 1))
109
Calculate 52 - ((-2 - 2) + (2 + -29 - (138 + -161))).
60
(-7 - -94) + -7 + 86 + -85 + (2 - 8)
75
What is (2 - (7 + 5)) + (6 + -3 + -11 - -35)?
17
What is the value of -97 - (-228 - -1) - 48?
82
Evaluate -45 + 17 - -13 - -16 - -51 - (-1 - 0).
53
What is the value of -14 + (9 - -11) - 116 - -41?
-69
Evaluate 21 - 32 - -20 - (17 - 0).
-8
Calculate (169 - 155) + 114 - 188.
-60
Evaluate (1198 - 1195) + (1 + -1 - 43).
-40
Evaluate -10 + -32 + 4 - (473 + -524).
13
149 - (15 - (-88 + 46))
92
Evaluate 36 + (3 - 35 - (18 - -10 - 38)).
14
Evaluate (12 - (-28 + -27)) + -48.
19
What is the value of (-1 - (-1 + 57)) + 231 + -200 + -4 + -34?
-64
What is -2 + 1 + (24 - 32) + (284 - 274)?
1
Calculate 6498 + -6270 - (-2 - -137).
93
-1106 + 1167 - (-21 + (4 - (2 + -2)))
78
Calculate -7 + -21 + (-22 - -18) + 11.
-21
Calculate (-5 + 9 - -9) + -12 + 5 + (-11 - -14).
9
Evaluate 2 - (1 + 20 + -452 + 472).
-39
What is -245 + 246 + 39 - (27 + 0)?
13
-6 + (-5 - 1) + 0 + 3 + 1000 + -1013
-22
14 + ((9 - 14) + -13 - -28)
24
Calculate (-32 - 3) + -729 + 746 + 27.
9
60 + -13 + (-24 + -23 + 36 - -4)
40
What is the value of (100 - 158) + 83 + (3 + -4 - 2) + -1?
21
1 + -62 + (18 + (-2 - 0) - (30 - 9))
-66
What is (-4 + 32 - 27) + (36 + -1 - 4 - 3)?
29
What is -7 - (-31 + (8 - 15) + 12 + (-5 - 1))?
25
What is the value of -12 + (28 - -9 - (-3 - 1 - -23))?
6
What is (-10 + 28 - 30 - 4) + 60?
44
What is 41 + -177 + 37 - -58?
-41
What is 2 + (-1 - 8) - (-266 - -249) - -38?
48
Evaluate (21 - (18 - 5) - -6) + -2 + 2 + -5.
9
What is the value of 222 + -232 + (3 + -4 - -6) + 5?
0
Evaluate -442 - -396 - (-2 + -114).
70
What is 74 - (111 + -54 + -11)?
28
(27 - (-123 - -7)) + -11 - 35
97
What is the value of 19 - (-18 + 68) - 21?
-52
Calculate -111 - -22 - (-54 + -18).
-17
What is the value of 89 - (-40 - (66 - 120))?
75
Evaluate -140 + -9 + -1010 + 1027.
-132
Calculate 2 + -8 + 33 - (41 - (37 - -1)).
24
5 - (4 + -3 + 68 - (20 + -41 + 10))
-75
What is the value of (-8 - -10) + (-5 - -3) + -25 + 19 - -66?
60
Calculate (2 - (20 - 8)) + (17 - (32 + 61)).
-86
What is -84 + -81 + 176 - (-3 + -71) - -20?
105
(4 - 9) + -95 - (484 + -468)
-116
What is (-21 + (-10 - (-7 + -12)) - -51) + -2 + 1?
38
What is the value of -20 + (-2 + -1 - -27) - ((2 - 1) + 39)?
-36
(29 - 45) + (43 - (22 - 10))
15
Evaluate 13 - (-3 - (4 + 12)) - (0 - (-4 - -10)).
38
Calculate 7 + -8 - (9 - ((-6 - -8) + -7)).
-15
-52 + 8 + (1 - 1) + (8 - -2)
-34
10 - 2 - 5 - (7 - (-7 + -2 + -3))
-16
Evaluate -147 + 60 + 65 - 19.
-41
What is 13 - (-12 + (0 - (9 + -5)) + 2)?
27
(9 - -2) + (35 - 69) + 10 - 5
-18
What is 112 - 23 - (194 - -11)?
-116
Evaluate 6 + -12 + 3 + 1 + 3 + (-13 - -1).
-11
Calculate 38 + (0 + 12 - 204) - -10.
-144
Evaluate 45 - (78 - 70 - 14).
51
What is -48 + -1 + -26 + (108 - 58)?
-25
Calculate -23 + (21 - 5) + 66 - (0 - -16).
43
Calculate 2 + -11 + (-224 - (-180 - -66)).
-119
Evaluate (-133 - 15) + (-23 - (13 + -52)) + -1.
-133
Evaluate -58 - ((15 - (36 + -8)) + (-2 - -9)).
-52
Evaluate -22 + -13 + 28 + -12 + 9 + -7.
-17
Calculate 23 - 79 - (102 + -55 - 28).
-75
Calculate -80 - (-29 + (-20 - -92) + -35).
-88
What is -2702 + 2694 - (1 + -5 + -27)?
23
What is the value of 7 + 1 - (464 - 525)?
69
-11 + (-77 - -57) + (7 - -4)
-20
Evaluate 10 + (-39 - (59 - 142)) + (-4 + -7 - 4).
39
Calculate -55 - -31 - (-18 - -33).
-39
What is 22 - 37 - 12 - (0 + -5 + 1 + 3)?
-26
What is (0 - -48) + 1 + (-23 - (-116 - -106))?
36
What is -16 + -41 + 219 - 32?
130
-10 - (119 + -84 + (26 - 1))
-70
-27 + (-3 - (36 + -20) - -4)
-42
Evaluate (31 - 76 - -35) + (-1 + 6 - 0) + 8.
3
What is (33 - (18 + (-15 - -4))) + -5 + (-10 - -9)?
20
What is 7 + -8 + 2 + (-6 - -2) + -8?
-11
What is the value of (10 - ((-1 - 6) + 7)) + 37 + -1 + 11?
57
Calculate (737 - 765) + -2 + 25 + (-1 - 0 - 1).
-7
What is the value of -5 - (-11 + (17 - -2) - -7) - (-7 - 0)?
-13
Evaluate 4 - 5 - (-74 + 0) - (-36 - -45).
64
Evaluate 2 - -1 - (-58 + -43 + 137).
-33
Calculate -60 - (-18 + 6 - 39).
-9
What is 19 + (-24 - (-13 + 11 + -13)) + 1?
11
What is (-23 - -9) + (-1 - (4 - 2)) + 13 - -56?
52
What is 25 + 44 + -8 + -13 + -1 + -2?
45
What is the value of -79 + (999 - 959) + (6 - 0)?
-33
Calculate (-2 - 6) + (31 + 9 - -45).
77
(7 - (4 - 3 - 0)) + (1050 - 976) + 8
88
What is 115 + -33
|
{
"pile_set_name": "DM Mathematics"
}
|
15 - -13121?
12502
In base 10, what is -5 + 673293?
673288
In base 7, what is -5334033 - -5?
-5334025
In base 15, what is 1 + 590b?
590c
In base 8, what is 161375 - 10?
161365
In base 7, what is -111 + 5455?
5344
In base 15, what is a - 1eb9b?
-1eb91
In base 9, what is -571 - 14202?
-14773
In base 2, what is 1101101100 - -1111100111?
11101010011
In base 9, what is 1153287 - 2?
1153285
In base 2, what is 1001001101111110 - 1001100?
1001001100110010
In base 14, what is -125c13 - 5?
-125c18
In base 14, what is -2 + 20c8?
20c6
In base 4, what is -1011112 - 2331?
-1020103
In base 14, what is 6 - -a41?
a47
In base 10, what is -23 + -6133?
-6156
In base 3, what is -12002222 - -1210?
-12001012
In base 5, what is -103313 - -4?
-103304
In base 13, what is 14b6 - 56?
1460
In base 9, what is 63672 - -1?
63673
In base 10, what is 176054 - 4?
176050
In base 16, what is 8994 + 6?
899a
In base 10, what is 380823 - -4?
380827
In base 11, what is a521 - -3?
a524
In base 6, what is -212 - -511?
255
In base 16, what is -17d1 + 7?
-17ca
In base 15, what is -4 + -d74b?
-d750
In base 12, what is -61076 - 25?
-6109b
In base 9, what is -1266237 + 2?
-1266235
In base 4, what is 13 + 1122332?
1123011
In base 16, what is -171f - -4?
-171b
In base 10, what is -3 + -149214?
-149217
In base 16, what is -dae0 + -10?
-daf0
In base 6, what is 40 + -13451?
-13411
In base 6, what is -255 - 15?
-314
In base 10, what is 4 + -1234?
-1230
In base 9, what is 4500 + -364?
4125
In base 16, what is -8ba0 + 5?
-8b9b
In base 5, what is -102 - -322332?
322230
In base 13, what is -6c + 6210?
6171
In base 5, what is 12032 - 212?
11320
In base 6, what is 0 + 5002523?
5002523
In base 9, what is 3 + 75473?
75476
In base 2, what is 1000100100100011 - -10011?
1000100100110110
In base 14, what is -15530 + 3?
-1552b
In base 14, what is -1a00 + a?
-19d4
In base 13, what is -14c7c - 6?
-14c85
In base 13, what is 49ba2 + -2?
49ba0
In base 5, what is -204320 - -31?
-204234
In base 8, what is 4 + -105424?
-105420
In base 5, what is 221404 + -3?
221401
In base 9, what is 352627 + 2?
352630
In base 2, what is 1101011100110011111111 - 10?
1101011100110011111101
In base 14, what is 2db1 - 2?
2dad
In base 13, what is 3 + -70111?
-7010b
In base 10, what is -433 + -67?
-500
In base 9, what is -4 + 13170?
13165
In base 13, what is 6ba - -6?
6c3
In base 3, what is 10 - 111221110?
-111221100
In base 7, what is 22444 - -41?
22515
In base 5, what is 13443 + -44041?
-30043
In base 6, what is 1505332 - -10?
1505342
In base 5, what is -234 + 2111321?
2111032
In base 14, what is 0 + 68559?
68559
In base 14, what is 37b4 - 1?
37b3
In base 15, what is e63 + -24d?
c15
In base 9, what is -3600 - 13?
-3613
In base 2, what is 10001001001101110011 - 1?
10001001001101110010
In base 15, what is 6714 - -12?
6726
In base 11, what is 36 + -3417?
-3391
In base 7, what is 66 + 31325?
31424
In base 8, what is 3 - -10447?
10452
In base 7, what is 0 - -14414420?
14414420
In base 9, what is -111318 - -3?
-111315
In base 15, what is 4d + -d6?
-88
In base 3, what is -1011122101 - -10?
-1011122021
In base 4, what is -23220002 - 10?
-23220012
In base 2, what is 11111100010 + 11010111000?
111010011010
In base 16, what is -5 - -2c1c?
2c17
In base 4, what is 22123232031 - 0?
22123232031
In base 12, what is 1bab - a?
1ba1
In base 4, what is -10 + 102210331?
102210321
In base 4, what is 10010 - 101?
3303
In base 7, what is 243 + 36220?
36463
In base 8, what is 11606 - -272?
12100
In base 11, what is -58 - -7311?
7264
In base 3, what is -2 - 1012022002?
-1012022011
In base 14, what is 2cc + -3?
2c9
In base 6, what is -1544241 - 0?
-1544241
In base 13, what is -38b1473 + 4?
-38b146c
In base 5, what is -4000 + -100?
-4100
In base 14, what is 6 - -5c3?
5c9
In base 10, what is -40 + -864?
-904
In base 6, what is -21 + 210?
145
In base 10, what is -551797 - 2?
-551799
In base 3, what is -1212220 - -211?
-1212002
In base 14, what is -4 + -28129?
-2812d
In base 2, what is -10010001001011111110 + -11?
-10010001001100000001
In base 2, what is 110110001101 + -100000?
110101101101
In base 15, what is -5 + -5511?
-5516
In base 11, what is -1940 - 8?
-1948
In base 8, what is -3533 - 2730?
-6463
In base 14, what is -c4974 + 0?
-c4974
In base 6, what is -24340 - -1135?
-23201
In base 9, what is 3 + 11365?
11368
In base 14, what is 91 - -68?
119
In base 9, what is -635 - 40?
-675
In base 6, what is -3210 - 2002?
-5212
In base 3, what is 120 - 101211?
-101021
In base 2, what is -11000110101101011 - 1011000?
-11000110111000011
In base 16, what is -4 + -25a77?
-25a7b
In base 10, what is -1207782 - 1?
-1207783
In base 13, what is -4 + 1a33a0?
1a3399
In base 15, what is -104 - -63?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
31*y**2 - 97 - 73*y**2 as t*y**3 + g + n*y + f*y**2 and give t.
19
Express (-3 + 1 + 4)*(0*p - 2*p + 3*p) - 1 + 1 + 2*p + (27*p - 11*p + 16*p)*(-21 + 34 - 26) in the form a*p + u and give a.
-412
Rearrange 879*f**3 + 4948 + 4*f - 2488 - 2460 to p + c*f**2 + t*f**3 + q*f and give q.
4
Rearrange (-z**2 - 3*z + 3*z)*(1 - 1 + z**2) + (72*z**2 - 72*z**2 + 9*z**3)*(76*z - 18*z - 23*z) to the form w*z**3 + j*z**2 + s*z + x*z**4 + g and give x.
314
Rearrange 2 - 12*r**3 - 28220*r + r**4 + 0 + 28226*r to the form l*r**4 + a*r + s*r**3 + u*r**2 + o and give l.
1
Express (-2*s**2 + 2*s**2 - s**2)*(-16 - 43 - 17)*(1 - 1 - 2)*(3 + 2 - 4)*(-160*s - 130*s + 8*s) as x*s + g*s**3 + h*s**2 + w and give g.
42864
Rearrange (-h - 7*h + 0*h)*(-9 + 18 + 1)*(-1007 + 520 + 561 + 1 + 3 - 2 + (-3 + 2 + 2)*(-3 + 0 + 2)) to the form d + y*h and give y.
-6000
Express 57877692 - 57877692 + 25267*f in the form b*f + x and give x.
0
Rearrange 109 - 2*y - 71*y**3 - 106 + y + y to the form u*y**3 + o*y**2 + j*y + i and give u.
-71
Express i**2 + i**2 + 20 + i**2 - 8*i**2 + 22*i**4 + 6*i**4 in the form m*i**4 + f*i**3 + r*i + j*i**2 + a and give j.
-5
Rearrange ((-2 + 3 - 2)*(3*x + 4*x - 5*x) - 36*x + 202 - 409 + 206)*(0 - 1 - 1)*(-84*x - 9*x + 31*x)*(1 - 4 + 2) to the form f + t*x + i*x**2 and give i.
4712
Express (5411 - 243 + 986)*(2*f - 2*f - 2*f) as v + t*f and give t.
-12308
Rearrange 73 + v**2 + 10*v**2 - 55 + 117 + 6*v**2 to s*v + q*v**2 + z and give s.
0
Express 97*g**2 + 148*g**2 - 1061*g**2 as v + x*g + c*g**2 and give c.
-816
Express 121*a + 513*a - 90*a in the form y + l*a and give l.
544
Rearrange (3 + 14 + 32 - 3 + 4 + 0 - 6 + 1 + 3 + (-1 - 1 + 3)*(3 + 1 - 5) + 2 - 1 + 0)*(-11*w + 11*w + 4*w**2) to the form l*w + z*w**2 + d and give z.
192
Express -99*p + 1704*p + 2101*p as i*p + q and give i.
3706
Rearrange -30 - 115*k**2 + 35 - 1170*k**2 to the form x + i*k + j*k**2 and give x.
5
Express 0*q + q + q + (743 - 490 - 413)*(-3*q - 2*q + 3*q + (-4 - 6 + 8)*(-5*q + q + 2*q) + 0 - q + 0) in the form v + h*q and give h.
-158
Rearrange -2*x**4 - 250 - 242 + 4*x**2 - 250 + 791 to the form i + p*x**2 + u*x + y*x**3 + b*x**4 and give b.
-2
Express (-4384*c**3 + 6 - 711*c**3 - 29 + 15 + 8)*(15*c - 10*c - 12*c) as v*c**4 + s*c**2 + i*c + u*c**3 + m and give s.
0
Express (1 + 0 + 0)*(1 + 2*c - 1) - 102 - 54*c + 13*c + 100 + (57 + 145 + 164)*(c + 2*c - 4*c) as a + x*c and give x.
-405
Rearrange -229*s**2 - 291*s**2 - 768*s**2 + 1 - 1 - 2 to the form x*s + p + j*s**2 and give j.
-1288
Express (2*z + z**3 - 2*z)*(2*z - 3*z + 4*z) + (55 - 55 - 86*z)*(-5*z**3 - 222*z**2 + 222*z**2) as a*z**4 + r + p*z**3 + g*z + c*z**2 and give a.
433
Rearrange 1495 - 1495 + 59*c + (-4 + 4 - c)*(-3 + 6 - 1) - 8*c + 26*c - 4 - 5*c to i + n*c and give i.
-4
Rearrange (-11*b - 68*b + 3*b + (-23*b - 17*b + 19*b)*(-5 + 2 + 2))*(2*b - 1 + 1) to the form v*b + f*b**2 + p and give f.
-110
Express -92 + 2*w**3 + 4*w + 3*w**3 + 2*w**3 + 93 + 13*w**3 in the form c*w**2 + u + p*w + f*w**3 and give u.
1
Rearrange -105*w**3 - 4*w + 707*w**2 + 326 - 326 + 103*w**3 + 7*w to the form c*w**3 + i + m*w**2 + j*w and give j.
3
Express 1074 - 2838 + 1141 - 2*i as p + u*i and give u.
-2
Express -f - 2*f**2 + f + (9*f + 40*f - 3*f)*(-68*f + 40*f + 31*f) as a*f**2 + g*f + c and give a.
136
Express -456*p**2 + 452*p**2 - 1021*p + 6195*p as u*p + w*p**2 + b and give u.
5174
Express (-4 + 2*t**2 + 4 + (9 - 3*t - 9)*(2 - 2*t - 2) - 18*t**2 - 10*t**2 + 21*t**2)*(-16*t - 1 + 1) in the form r*t**3 + g*t + p*t**2 + v and give r.
-16
Rearrange -3*g + 11*g**2 + 2*g**4 + 2*g + 2*g**3 - 7*g**2 - 1 - 30*g**2 + 7*g**3 to the form s*g**2 + c*g**3 + y*g**4 + w + f*g and give f.
-1
Express (-1 + 6*n + 1)*(9135 - 9135 - 688*n)*(0*n - 3*n + 5*n) as c*n**2 + s*n**3 + o*n + a and give s.
-8256
Express 4973*u**3 + 0 + 8*u + 2 - u**4 - 4959*u**3 as o + x*u**2 + n*u + m*u**3 + z*u**4 and give o.
2
Rearrange -252754*y + 53 + 252710*y + 40 to the form p + w*y and give w.
-44
Express (-3 + s**2 + 3)*(-4*s - 2*s**2 + 4*s) - 14516011 + 14516011 - 11077*s**4 - 2 + 2 + 2*s**4 as l + y*s + f*
|
{
"pile_set_name": "DM Mathematics"
}
|
Are g and q equal?
False
Let x = -76 + 96. Suppose -2*n - x = 3*n. Let f be (-2)/((-16)/(-22)) - 2. Does f = n?
False
Let b = -16.7 + 15. Let f = -0.7 - b. Is 170 less than f?
False
Let n be ((-20)/110 - 434/33)*12/(-8). Is 7 at most as big as n?
True
Let z be (-1 + -2)*334/(-7348). Let t be (1 - 1)*(-2)/4. Is t at least z?
False
Let l(p) = 3*p**2 + p - 17. Let g be l(8). Suppose -23*t - 22 = -g. Suppose 3*j = -3 + 24. Is t less than or equal to j?
True
Let h be 1/(9/(-2)) + 980/(-45) + 24. Let z be (-20)/11 - (-4)/(-22). Which is smaller: h or z?
z
Let z(v) = -v**3 + 6*v**2 + 8*v - 39. Let u be z(6). Which is smaller: 12 or u?
u
Let y = -0.0175 + -189.0825. Let v = y + 189. Do 10.7 and v have different values?
True
Let c be 6/(-20) + 8642/30015. Which is smaller: 0.1 or c?
c
Let p = -266 - -90. Let w be 0 + p/12 + 2. Let q be -15 - (4 - -11)/(-5). Is q >= w?
True
Suppose u + 9*f - 5*f + 4 = 0, -4*u + 1 = -f. Are u and 13/76 unequal?
True
Let r(t) = t**2 - 10*t + 17. Let b be r(9). Let u be (4/10 - b/30)*-3. Which is smaller: u or -3/14?
u
Let w(c) = -74*c + 4. Let a be w(-1). Let f = a - 78. Is 1/19 at least as big as f?
True
Let h = -525 + 529. Suppose 0*b = -5*b - 55. Let a be 476/77 - (-2)/b. Is h less than or equal to a?
True
Let s = 3652127/56 - 65221. Does s = -5?
False
Let b = 2 - 3. Let k be (1 - 24) + (98 - 79). Which is smaller: b or k?
k
Let z = 323.416687 - 0.006687. Let a = z + -322. Let u = a + -1.41. Which is greater: -12 or u?
u
Let r = 82/43 - 418/129. Which is smaller: r or 34?
r
Let f be (2/3)/((-2)/(-12)). Let t = 747 + -795. Let c be (t/(-20))/f + 18/(-5). Is c <= -10/3?
False
Let q = -42 - 18. Let l = 2689.2 + -2749. Let r = q - l. Which is bigger: -16/3 or r?
r
Suppose 2*z - 4*w + 30 = -0*z, 0 = 4*z - 2*w + 48. Let k be 5/(-3)*(z + 8). Suppose s - k*a - 7 = -21, 4*s = 4*a - 8. Which is smaller: s or 3/17?
3/17
Let i(p) = -p**2 + 9*p + 22. Let u be i(10). Let y = 23 - u. Suppose 17*r - y*r = -120. Is r greater than -19?
False
Let x be (-3)/1 + -415 - (-2 + 5). Is -1/3 bigger than x?
True
Let z(i) = -8*i - 220. Let d be z(-28). Suppose 3*a + 0*n + d = -n, 6 = -4*a - 2*n. Is -3/31 at most a?
False
Let d = -687 + 699. Let z = -5 + 7. Suppose -4*j + c = d, 0*j - z*c + 6 = j. Which is bigger: 0.1 or j?
0.1
Let p be ((4 - 11) + 459/54)*(-4)/21. Which is greater: -4404 or p?
p
Let u = 2430 + -2430.2. Which is smaller: 7.29 or u?
u
Let m = -170 - -199. Let c = m + -28. Is c smaller than -148?
False
Let w(a) = 18*a - 408. Let h(n) = 21*n - 409. Let z(y) = 4*h(y) - 5*w(y). Let s be z(59). Which is greater: 52 or s?
52
Let b(u) = 17 - 4 + 18*u + 2*u**2 - 2*u**2 + u**2. Let k be b(-19). Suppose 0 = 6*c - 52 - k. Is c smaller than 15?
True
Let j = -22 - -23. Let k = 179/3 + -1405/24. Which is smaller: k or j?
j
Let x = 10624.7 + -10532.7. Let s = 0.6 + -0.4. Is s < x?
True
Let k be (20/6)/((-14)/84). Let o be (6/(-555))/((-148)/k + -4). Which is smaller: o or -1?
-1
Let o(s) = -2*s**2 + 23*s + 43. Let g be o(14). Let a = 85 + -123. Let z = a + 11. Is g bigger than z?
False
Let k be (-14)/(-11697)*21/(-28). Which is bigger: -1 or k?
k
Let n = 572017/537 + -6391/6. Which is bigger: 1 or n?
1
Let c(o) = 2*o**3 + 14*o**2 - 87*o + 11. Let v be c(-11). Let l = -19329/64 + 302. Which is bigger: v or l?
v
Suppose -13*u - 35095 - 110271 = 0. Let l = -190190/17 - u. Which is greater: -6 or l?
l
Let v(o) = o**2 + 8*o + 15. Let y be v(-6). Suppose 0 = t - 4, -2*g - g + 96 = y*t. Suppose -l - 6*f + f + 10 = 0, -4*f - 16 = 0. Is g greater than l?
False
Let p be 25*((-19)/(570/(-3114)) - (-2 + -1)). Is 2669 less than or equal to p?
True
Suppose -2*n = 12*n + 28*n + 65352. Is -1556 at most n?
True
Suppose 16*o + 54 = 214. Let q be (8/6)/((-20)/(-30)). Let r be (-3)/(-2)*q/(-21)*o. Which is smaller: r or -1?
r
Let x = 812 + 8046. Do x and 8858 have the same value?
True
Let c = -10735.9 + 10213. Let n = 523 + c. Which is smaller: n or -20/9?
-20/9
Suppose -4*c + 0*c = -8. Let t(k) = -26 + 5 + 2*k - 2*k + c*k. Let y be t(6). Is y < -7?
True
Suppose 16*x = 87 - 55. Suppose -b + 5*k - 153 = 0, x*k = -2*b - 131 - 151. Which is greater: -145 or b?
b
Let p(b) = -10*b**2 - 54 + 68 - 2*b - b**3 - 3 + 9. Let c(o) = -o**2 - 6*o - 9. Let z be c(-6). Let r be p(z). Are r and -43 nonequal?
False
Let q(w) = 3*w**2 - 43*w + 59. Let v be q(22). Let j = v - 584. Which is smaller: j or -27?
-27
Let y(n) = -2*n**2 + 6*n + 5. Suppose -2*a + 5 + 21 = 2*c, c = -4*a - 2. Let z = c + -14. Let h be y(z). Is h greater than or equal
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.