text
stringlengths 518
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dict |
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re there in thirteen fifths of a millennium?
31200
What is 143508.645ms in days?
0.0016609796875
How many nanometers are there in 94.209 centimeters?
942090000
What is 258875.4 centuries in decades?
2588754
How many nanometers are there in 0.0329471m?
32947100
How many litres are there in 48480.7 millilitres?
48.4807
What is 47147.3 years in decades?
4714.73
Convert 82.82052um to millimeters.
0.08282052
How many months are there in fifty-four fifths of a century?
12960
What is 37.19993 centimeters in meters?
0.3719993
What is 25/2 of a milligram in micrograms?
12500
What is 11.01608 years in months?
132.19296
How many days are there in 3.7373391 minutes?
0.002595374375
How many millennia are there in 60403.2 months?
5.0336
How many decades are there in thirty-four fifths of a century?
68
How many litres are there in 13006.92ml?
13.00692
What is 55/4 of a gram in milligrams?
13750
How many millimeters are there in 7063.451km?
7063451000
How many centimeters are there in one fifth of a meter?
20
Convert 68.74243 decades to months.
8249.0916
What is 7/8 of a millennium in months?
10500
How many millilitres are there in 12.83532l?
12835.32
Convert 66251.83 days to hours.
1590043.92
What is eleven eighths of a kilometer in meters?
1375
How many nanoseconds are there in five quarters of a microsecond?
1250
What is twenty-one fifths of a millennium in years?
4200
Convert 0.959322 hours to nanoseconds.
3453559200000
How many millilitres are there in thirteen quarters of a litre?
3250
What is 0.4025097l in millilitres?
402.5097
What is 21/4 of a microgram in nanograms?
5250
How many milliseconds are there in 4.649586us?
0.004649586
How many grams are there in 85.74213t?
85742130
Convert 1501014.3 months to millennia.
125.084525
What is seventy-five eighths of a litre in millilitres?
9375
How many millilitres are there in three eighths of a litre?
375
What is 3/8 of a litre in millilitres?
375
Convert 95.72964cm to kilometers.
0.0009572964
How many hours are there in 3365872.2 microseconds?
0.0009349645
What is 68995.78 grams in tonnes?
0.06899578
How many milliseconds are there in six fifths of a second?
1200
What is one tenth of a decade in months?
12
What is fourty-five eighths of a litre in millilitres?
5625
Convert 364.4771 millilitres to litres.
0.3644771
How many hours are there in 620.11656ms?
0.0001722546
How many grams are there in seventeen halves of a kilogram?
8500
What is fourty-three quarters of a millimeter in micrometers?
10750
Convert 483.935ms to seconds.
0.483935
Convert 994.8408l to millilitres.
994840.8
What is 73.19755cm in millimeters?
731.9755
How many months are there in 7/8 of a millennium?
10500
How many centuries are there in 8021.74 decades?
802.174
What is 7.592209 centimeters in micrometers?
75922.09
How many tonnes are there in 342.7209 milligrams?
0.0000003427209
How many millilitres are there in five quarters of a litre?
1250
How many months are there in 6/5 of a century?
1440
How many decades are there in six fifths of a millennium?
120
Convert 26093.9kg to milligrams.
26093900000
Convert 155.2289 millennia to months.
1862746.8
How many millilitres are there in twenty-six fifths of a litre?
5200
What is 6/5 of a milligram in micrograms?
1200
How many tonnes are there in 2430.25 milligrams?
0.00000243025
How many milligrams are there in eleven quarters of a gram?
2750
How many millilitres are there in 7/2 of a litre?
3500
What is 976.2226ml in litres?
0.9762226
How many millilitres are there in 67062.81l?
67062810
What is 6085.387ml in litres?
6.085387
What is 4.241164l in millilitres?
4241.164
What is 5/8 of a millennium in months?
7500
What is three eighths of a millimeter in micrometers?
375
How many years are there in 21/5 of a century?
420
How many millilitres are there in 1/5 of a litre?
200
What is 43423.55 kilograms in milligrams?
43423550000
What is 31/2 of a microsecond in nanoseconds?
15500
Convert 279817.2 months to centuries.
233.181
What is 13/4 of a century in months?
3900
Convert 0.47236 milligrams to tonnes.
0.00000000047236
What is 214461.5kg in tonnes?
214.4615
What is 6/5 of a microgram in nanograms?
1200
What is 3.603696 tonnes in grams?
3603696
How many kilograms are there in 75.96654 grams?
0.07596654
How many centimeters are there in 11/4 of a meter?
275
How many micrograms are there in 45/4 of a milligram?
11250
Convert 216073.494 milliseconds to days.
0.002500850625
What is 8155.566cm in millimeters?
81555.66
How many nanograms are there in 944.3821 grams?
944382100000
How many millilitres are there in fifty-four fifths of a litre?
10800
How many millimeters are there in 47.72367 kilometers?
47723670
What is 5/8 of a microgram in nanograms?
625
How many minutes are there in sixty-four fifths of a hour?
768
Convert 39934.71m to micrometers.
39934710000
What is 5888.181s in nanoseconds?
5888181000000
How many micrometers are there in 7/8 of a millimeter?
875
What is 34/5 of a century in years?
680
How many hours are there in 379.1952 minutes?
6.31992
Convert 999730.1km to millimeters.
999730100000
Convert 32474.65 millimeters to micrometers.
32474650
What is 33613.06 minutes in seconds?
2016783.6
What is 80.3717 days in minutes?
115735.248
What is eleven halves of a litre in millilitres?
5500
What is 39925.01 microseconds in milliseconds?
39.92501
What is 0.9436712m in nanometers?
943671200
How many litres are there in 0.861241 millilitres?
0.000861241
How many weeks are there in 1679489.7 days?
239927.1
How many decades are there in 11357.523 months?
94.646025
How many millilitres are there in 26/5 of a litre?
5200
What is 306604.998 minutes in weeks?
30.4171625
How many centuries are there in 78115.17 years?
781.1517
How many years are there in thirty-three fifths of a century?
660
Convert 528065.5mm to kilometers.
0.5280655
How many years are there in eleven quarters of a millennium?
2750
Convert 188.6191 grams to milligrams.
188619.1
How many litres are there in 6.763399 millilitres?
0.006763399
How many milligrams are there in 461.0014t?
461001400000
What is eleven quarters of a hour in minutes?
165
Convert 8104.472ml to litres.
8.104472
What is 607.907 millilitres in litres?
0.607907
What is 43.59957 kilograms in tonnes?
0.04359957
How many decades are there in 27/5 of a century?
54
How many centuries are there in 1.133379 years?
0.01133379
Convert 381.3197l to millilitres.
381319.7
How many micrograms are there in 1/20 of a milligram?
50
What is 149867.7 months in decades?
1248.8975
How many micrograms are there in thirty-one halves of a milligram?
15500
How many millilitres are there in 21/2 of a litre?
10500
Convert 955845.6 nanograms to tonnes.
0.0000000009558456
What is 68/3 of a century in months?
27200
How many minutes are there in 4/15 of a hour?
16
Convert 875.795 weeks to hours.
147133.56
What is nine tenths of a day in minutes?
1296
How many millilitres are there in 7/4 of a litre?
1750
How many seconds are there in 18085.8 milliseconds?
18.0858
Convert 0.4370841cm to micrometers.
4370.841
How many millilitres are there in 823.2351l?
823235.1
How many grams are there in 5.630736 nanograms?
0.000000005630736
What is 4.486637 decades in millennia?
0.04486637
How many micrograms are there in one tenth of a milligram?
100
What is 3/25 of a micrometer in nanometers?
120
How many nanometers are there in 0.4231474um?
423.1474
Convert 135314.9 millilitres to litres.
135.3149
What is seventy-seven fifths of a litre in millilitres?
15400
Convert 0.9559904cm to kilometers.
0.000009559904
How many nanograms are there in twenty-one eighths of a microgram?
2625
Convert 0.0552082 litres to millilitres.
55.2082
How many hours are there in seven thirds of a day?
56
What is 2018.783 days in microseconds?
174422851200000
Convert 0.6903504 millennia to decades.
69.03504
Convert 1169.156 centimeters to millimeters.
11691.56
What is one fifth of a litre in millilitres?
200
What is one fifth of a decade in months?
24
How many seconds are there in fifteen quarters of a minute?
225
How many nanograms are there in 0.665001ug?
665.001
Convert 13.87146 months to millennia.
0.001155955
How many nanoseconds are there in 0.9277696 minutes?
55666176000
What is three fifths of a century in years?
60
Conver | {
"pile_set_name": "DM Mathematics"
} |
wffjnjj. What is prob of sequence nfw?
1/420
Three letters picked without replacement from tdudtououautta. What is prob of sequence ooa?
1/546
What is prob of sequence cn when two letters picked without replacement from fznacsaf?
1/56
Two letters picked without replacement from {g: 5, f: 4, h: 2}. What is prob of sequence fh?
4/55
What is prob of sequence bbb when three letters picked without replacement from zzzzzbzbbbzzbz?
5/182
What is prob of sequence ad when two letters picked without replacement from atdttta?
1/21
Calculate prob of sequence pwxe when four letters picked without replacement from {w: 3, x: 1, c: 1, p: 2, n: 10, e: 2}.
1/7752
What is prob of sequence ysyh when four letters picked without replacement from {s: 1, h: 1, y: 2, e: 4, l: 2}?
1/2520
What is prob of sequence mm when two letters picked without replacement from mmmmmmm?
1
Three letters picked without replacement from {n: 2, e: 3, y: 4, z: 1}. What is prob of sequence yny?
1/30
What is prob of sequence qq when two letters picked without replacement from yqy?
0
Two letters picked without replacement from rrnrrrrr. What is prob of sequence nr?
1/8
What is prob of sequence gg when two letters picked without replacement from {g: 3, o: 2, y: 3}?
3/28
Calculate prob of sequence rkx when three letters picked without replacement from {x: 1, r: 1, k: 2, p: 1}.
1/30
Calculate prob of sequence eqyw when four letters picked without replacement from {y: 1, k: 1, q: 1, f: 2, w: 1, e: 1}.
1/840
Four letters picked without replacement from {e: 3, y: 5, d: 8}. What is prob of sequence eedd?
1/130
What is prob of sequence cl when two letters picked without replacement from {y: 9, l: 1, h: 5, c: 3}?
1/102
What is prob of sequence xtp when three letters picked without replacement from txuctpupbccx?
1/165
Three letters picked without replacement from {o: 7, g: 2, s: 2}. What is prob of sequence osg?
14/495
Two letters picked without replacement from fpppfpppffpf. Give prob of sequence pp.
7/22
What is prob of sequence ffff when four letters picked without replacement from yffyyfffffyfyfff?
33/182
Calculate prob of sequence ae when two letters picked without replacement from jbzannea.
1/28
Calculate prob of sequence mt when two letters picked without replacement from {m: 1, t: 6, k: 11, i: 1}.
1/57
What is prob of sequence cvcc when four letters picked without replacement from {i: 1, m: 5, v: 1, u: 1, c: 6}?
5/1001
Calculate prob of sequence ff when two letters picked without replacement from ffx.
1/3
Four letters picked without replacement from gaggikkgciigkg. What is prob of sequence cikk?
3/4004
Calculate prob of sequence xc when two letters picked without replacement from xxxc.
1/4
Two letters picked without replacement from ckckklklc. Give prob of sequence ck.
1/6
Three letters picked without replacement from tqyowsqtyty. Give prob of sequence qwy.
1/165
Two letters picked without replacement from {x: 1, a: 1, y: 2, l: 3}. Give prob of sequence yy.
1/21
Four letters picked without replacement from {w: 5, o: 8, y: 4, c: 2}. Give prob of sequence wwcy.
5/2907
Calculate prob of sequence ot when two letters picked without replacement from fuoptmuf.
1/56
What is prob of sequence kq when two letters picked without replacement from {k: 2, z: 1, q: 4, i: 2}?
1/9
Three letters picked without replacement from {i: 1, a: 2, h: 1, k: 3}. What is prob of sequence kah?
1/35
Two letters picked without replacement from nnandnnnp. What is prob of sequence na?
1/12
Two letters picked without replacement from tttjj. Give prob of sequence jj.
1/10
Two letters picked without replacement from {w: 5, s: 1, x: 14}. What is prob of sequence xs?
7/190
Two letters picked without replacement from iuwikwww. Give prob of sequence wi.
1/7
Calculate prob of sequence qssy when four letters picked without replacement from mmsqmqmqsqqsyss.
5/1638
What is prob of sequence rrt when three letters picked without replacement from {r: 13, t: 6}?
52/323
Two letters picked without replacement from xxxasxvxrvrrrxxr. Give prob of sequence av.
1/120
Three letters picked without replacement from zzgzeceecgzgzczzggg. Give prob of sequence gzg.
35/969
Three letters picked without replacement from lllllllll. What is prob of sequence lll?
1
Two letters picked without replacement from {u: 2, v: 1, k: 3, g: 1, w: 8, a: 1}. What is prob of sequence kg?
1/80
Two letters picked without replacement from {p: 1, j: 1, e: 1, a: 2, y: 1, k: 1}. What is prob of sequence ey?
1/42
Two letters picked without replacement from {y: 2, d: 2, r: 1, k: 1, g: 1, c: 2}. Give prob of sequence kc.
1/36
Two letters picked without replacement from {f: 6, h: 5, k: 2}. Give prob of sequence hh.
5/39
What is prob of sequence yp when two letters picked without replacement from {p: 2, b: 5, y: 2, g: 2, x: 2}?
1/39
What is prob of sequence kkhk when four letters picked without replacement from {p: 3, h: 2, a: 5, k: 3}?
1/1430
Calculate prob of sequence iza when three letters picked without replacement from {z: 1, i: 2, a: 1, e: 4}.
1/168
Two letters picked without replacement from fblbfic. What is prob of sequence bi?
1/21
Calculate prob of sequence wvdv when four letters picked without replacement from {w: 6, v: 4, d: 1, l: 2}.
3/715
Three letters picked without replacement from qpddofk. What is prob of sequence kof?
1/210
Calculate prob of sequence iiu when three letters picked without replacement from {i: 5, u: 11}.
11/168
Two letters picked without replacement from {q: 2, u: 1, a: 1, t: 1, r: 1, f: 1}. What is prob of sequence tu?
1/42
What is prob of sequence fifi when four letters picked without replacement from {d: 7, f: 5, i: 2}?
5/3003
Three letters picked without replacement from biuuyde. Give prob of sequence eby.
1/210
Three letters picked without replacement from aaasaapsaasasads. Give prob of sequence aps.
3/224
Calculate prob of sequence bib when three letters picked without replacement from ibb.
1/3
Calculate prob of sequence ba when two letters picked without replacement from tvsab.
1/20
Two letters picked without replacement from zzzzjzjzzjzzzzzzzzzz. Give prob of sequence jz.
51/380
Two letters picked without replacement from pykeklekollekl. What is prob of sequence ky?
2/91
Two letters picked without replacement from nuuuunuunuuuun. Give prob of sequence nu.
20/91
Calculate prob of sequence bqyq when four letters picked without replacement from {b: 1, t: 2, q: 3, y: 1}.
1/140
Calculate prob of sequence ld when two letters picked without replacement from ldld.
1/3
What is prob of sequence ppl when three letters picked without replacement from {p: 7, l: 1}?
1/8
What is prob of sequence amm when three letters picked without replacement from {z: 2, m: 9, a: 5}?
3/28
Calculate prob of sequence pu when two letters picked without replacement from {p: 1, f: 1, k: 1, a: 2, u: 1, m: 2}.
1/56
Two letters picked without replacement from dyddddydddddyd. Give prob of sequence dy.
33/182
Three letters picked without replacement from doooddxoxxxxx. Give prob of sequence xxd.
15/286
Three letters picked without replacement from uzzzj. What is prob of sequence jzz?
1/10
What is prob of sequence pnyy when four letters picked without replacement from {p: 1, u: 2, n: 2, t: 1, y: 2}?
1/420
Three letters picked without replacement from ebbbbbbebbbbeb. What is prob of sequence bee?
11/364
Two letters picked without replacement from {y: 2, m: 2, e: 4, p: 2}. Give prob of sequence ym.
2/45
Three letters picked without replacement from {b: 1, r: 2}. What is prob of sequence rbr?
1/3
What is prob of sequence ffc when three letters picked without replacement from {f: 5, w: 1, c: 8, u: 1, h: 2}?
2/51
Three letters picked without replacement from wiiifikmkikwiifk. What is prob of sequence wmw?
1/1680
Calculate prob of sequence kp when two letters picked without replacement from {p: 1, k: 1, b: 1, n: 2}.
1/20
Two letters picked without replacement from bbppppbwppwwwp. Give prob of sequence bw.
6/91
What is prob of sequence hbb when three letters picked without replacement from hsbhbsshhbshxsx?
1/91
Calculate prob of sequence wnnn when four letters picked without replacement from {w: 1, n: 18}.
1/19
Two letters picked without replacement from {n: 1, s: 3, r: 4, w: 4, z: 1}. | {
"pile_set_name": "DM Mathematics"
} |
nator of -79/34387216 and -3/4298402?
34387216
What is the lowest common multiple of 51534 and 96524?
6081012
Find the common denominator of -89/109410550 and -27/747194.
765873850
Calculate the common denominator of -79/7803783 and -14/1417.
850612347
What is the common denominator of -69/495014 and 11/17820504?
17820504
What is the common denominator of -19/1188 and 53/260172?
260172
What is the lowest common multiple of 10448067 and 64603?
114928737
Calculate the smallest common multiple of 26269600 and 985110.
78808800
Calculate the common denominator of -83/242676324 and -17/66184452.
728028972
What is the smallest common multiple of 1278 and 206190?
14639490
What is the lowest common multiple of 45768 and 12328755?
98630040
What is the lowest common multiple of 4600 and 961170?
19223400
Find the common denominator of 55/156994 and -39/14.
1098958
Calculate the least common multiple of 83000 and 1751300.
17513000
What is the least common multiple of 180524439 and 520056?
1444195512
What is the lowest common multiple of 68363897 and 517?
752002867
Calculate the smallest common multiple of 2 and 149571740.
149571740
What is the lowest common multiple of 8162610 and 816261?
8162610
Calculate the lowest common multiple of 24192 and 11433744.
91469952
Find the common denominator of 34/37317 and 25/92841.
164978457
What is the common denominator of -47/49431276 and 93/4?
49431276
Calculate the common denominator of 97/44720082 and -19/2484449.
44720082
Calculate the common denominator of 97/91920 and -41/38058710.
913409040
Find the common denominator of 79/1916600 and -41/56425.
116912600
Find the common denominator of 39/881600 and -91/1763200.
1763200
Calculate the common denominator of -169/35276388 and 131/2208.
282211104
What is the common denominator of 73/212307 and -19/37545?
2657022105
What is the common denominator of 55/9153 and -131/4374?
494262
What is the common denominator of 37/283450 and -57/5500?
31179500
Find the common denominator of 97/128372288 and -17/819896.
898606016
Calculate the common denominator of -157/264 and -19/4085896.
134834568
What is the common denominator of 143/5790 and -89/387930?
387930
What is the least common multiple of 608 and 7565952?
7565952
Calculate the least common multiple of 28 and 159212466.
318424932
Calculate the common denominator of -45/439112 and 73/1660032.
695553408
Calculate the least common multiple of 277984 and 4284.
2501856
What is the least common multiple of 16101 and 966?
5184522
Calculate the common denominator of -197/2923200 and -53/556800.
11692800
What is the smallest common multiple of 5260 and 94158?
247635540
What is the lowest common multiple of 44251 and 252?
11151252
Calculate the common denominator of 26/53425861 and -83/115018.
106851722
What is the common denominator of 55/618 and 28/2102127?
4204254
Calculate the least common multiple of 3254304 and 2024784.
1259415648
What is the least common multiple of 89442372 and 24?
178884744
What is the common denominator of 40/121857 and 46/183?
7433277
What is the smallest common multiple of 545 and 3948416?
19742080
Calculate the least common multiple of 18 and 49472808.
148418424
Calculate the least common multiple of 998580 and 195.
12981540
Calculate the common denominator of 35/971 and 37/86787.
84270177
What is the smallest common multiple of 4829632 and 603704?
4829632
Calculate the common denominator of -13/4932 and -121/2770140.
8310420
What is the common denominator of -32/24382387 and -34/77899?
24382387
What is the common denominator of 71/4554 and 56/2935881?
64589382
What is the least common multiple of 21 and 195885?
1371195
Find the common denominator of -25/5037 and 65/381279.
8769417
Calculate the smallest common multiple of 119600 and 26910.
1076400
Calculate the common denominator of -23/4342394 and 19/586810.
21711970
Calculate the common denominator of -7/442615 and 34/4868765.
4868765
What is the lowest common multiple of 30590874 and 1035?
152954370
Calculate the least common multiple of 7773777 and 4240242.
46642662
What is the least common multiple of 1201496 and 2102618?
8410472
What is the lowest common multiple of 2695 and 6237?
218295
What is the lowest common multiple of 732 and 36458?
13343628
What is the lowest common multiple of 175780 and 58327?
12831940
Find the common denominator of -101/44453060 and -67/45.
400077540
Find the common denominator of 64/42063 and -12/91346815.
274040445
What is the least common multiple of 167620 and 9269386?
92693860
Calculate the smallest common multiple of 31778 and 771.
24500838
What is the smallest common multiple of 93208 and 8656693?
69253544
Calculate the lowest common multiple of 18558 and 2796.
8648028
Find the common denominator of 169/4980 and 43/45912.
19053480
What is the lowest common multiple of 117826500 and 2640?
471306000
Calculate the common denominator of 149/40164 and -103/1146.
7671324
What is the lowest common multiple of 1558611 and 6753981?
20261943
What is the lowest common multiple of 2828301 and 77?
31111311
Calculate the least common multiple of 378 and 10112816.
273046032
Calculate the common denominator of -43/50480 and -103/5868300.
23473200
Calculate the common denominator of 4/135 and 11/148815.
446445
Calculate the lowest common multiple of 45112545 and 3341670.
90225090
What is the common denominator of 109/272454 and -106/4095?
4086810
What is the common denominator of 109/18713784 and -125/5663382?
430417032
What is the common denominator of -43/4367352 and 37/66?
4367352
What is the least common multiple of 34 and 1755048?
29835816
Calculate the smallest common multiple of 24 and 33668.
202008
Find the common denominator of -87/3602 and -5/7972.
14357572
What is the smallest common multiple of 74653 and 1851?
138182703
Find the common denominator of -43/3516210 and -11/60.
7032420
Calculate the common denominator of 69/81272 and -85/20886904.
20886904
Find the common denominator of 15/4811716 and -75/105752.
9623432
Calculate the common denominator of -53/9197710 and 1/440.
404699240
Calculate the common denominator of -67/860436 and 23/478020.
4302180
What is the common denominator of -113/76620 and 107/52220?
200054820
Find the common denominator of -111/1400 and -83/767256.
19181400
What is the common denominator of 133/749634 and -47/29112?
2998536
Calculate the common denominator of -103/286 and -115/56129502.
56129502
Calculate the smallest common multiple of 37056 and 7633536.
7633536
What is the lowest common multiple of 1469888 and 78744?
4409664
Calculate the common denominator of -43/2383844 and 93/4767688.
4767688
Calculate the common denominator of 2/1885 and 7/4342.
629590
Find the common denominator of -109/67176 and 43/742668.
13368024
Find the common denominator of -47/9840129 and -19/44694.
59040774
Calculate the common denominator of -44/469002587 and 89/10.
4690025870
Calculate the common denominator of 61/670185 and 113/42930.
12063330
What is the common denominator of 143/18 and 79/529050?
1587150
Find the common denominator of 41/580575 and -129/620.
71991300
What is the common denominator of -97/3253320 and 29/820?
133386120
Find the common denominator of -37/13284810 and 229/328020.
26569620
What is the least common multiple of 610 and 2376895?
289981190
Calculate the common denominator of 149/6 and 17/2045987.
12275922
Calculate the common denominator of 67/3129 and -73/28887375.
202211625
Find the common denominator of 83/3190752 and -61/4387284.
35098272
Calculate the common denominator of 103/18522 and 19/25354.
33543342
What is the common denominator of -111/6580 and -139/72996546?
729965460
What is the lowest common multiple of 21266 and 752010?
1142303190
Find the common denominator of -74/309 and 121/434658.
44769774
Calculate the least common multiple of 13667800 and 1708475.
13667800
What is the common denominator of -111/13635550 and -11/96025?
13635550
Calculate the least common multiple of 1387529 and 30987.
12487761
Find the common denominator of 83/970 and -34/20881675.
41763350
Calculate the common denominator of 61/434 and -169/95340.
2955540
What is the common denominator of 79/62475 and -88/24735?
6060075
What is the smallest common multiple of 2337760 and 7040?
10 | {
"pile_set_name": "DM Mathematics"
} |
446
What is the sixth root of 378971742 to the nearest integer?
27
What is the square root of 8241710497 to the nearest integer?
90784
What is the third root of 609058981 to the nearest integer?
848
What is 602473047 to the power of 1/4, to the nearest integer?
157
What is the sixth root of 1140785213 to the nearest integer?
32
What is the third root of 136901033 to the nearest integer?
515
What is 45836716 to the power of 1/2, to the nearest integer?
6770
What is the fourth root of 11595258 to the nearest integer?
58
What is the cube root of 1097961844 to the nearest integer?
1032
What is 627113634 to the power of 1/2, to the nearest integer?
25042
What is 498979246 to the power of 1/2, to the nearest integer?
22338
What is the cube root of 748287960 to the nearest integer?
908
What is the tenth root of 3386894439 to the nearest integer?
9
What is the third root of 10663196 to the nearest integer?
220
What is the ninth root of 523352301 to the nearest integer?
9
What is 125700475 to the power of 1/9, to the nearest integer?
8
What is the seventh root of 2109559305 to the nearest integer?
21
What is 190916160 to the power of 1/7, to the nearest integer?
15
What is 644223608 to the power of 1/5, to the nearest integer?
58
What is the cube root of 18331617 to the nearest integer?
264
What is 75566505 to the power of 1/2, to the nearest integer?
8693
What is the third root of 2311532049 to the nearest integer?
1322
What is the tenth root of 20944755 to the nearest integer?
5
What is the cube root of 757731412 to the nearest integer?
912
What is the third root of 3259271 to the nearest integer?
148
What is 481940429 to the power of 1/7, to the nearest integer?
17
What is 1096464731 to the power of 1/2, to the nearest integer?
33113
What is 181666435 to the power of 1/10, to the nearest integer?
7
What is 2002326317 to the power of 1/8, to the nearest integer?
15
What is the square root of 416247457 to the nearest integer?
20402
What is the cube root of 3501952159 to the nearest integer?
1519
What is 26843470 to the power of 1/2, to the nearest integer?
5181
What is 1401571667 to the power of 1/2, to the nearest integer?
37438
What is the fifth root of 76535020 to the nearest integer?
38
What is 1389439455 to the power of 1/2, to the nearest integer?
37275
What is the ninth root of 1879329079 to the nearest integer?
11
What is the square root of 435067672 to the nearest integer?
20858
What is the third root of 935136891 to the nearest integer?
978
What is 2379324984 to the power of 1/2, to the nearest integer?
48778
What is the seventh root of 1408673539 to the nearest integer?
20
What is 4474232734 to the power of 1/6, to the nearest integer?
41
What is the tenth root of 33093464 to the nearest integer?
6
What is the square root of 38767998 to the nearest integer?
6226
What is 33813894 to the power of 1/2, to the nearest integer?
5815
What is the tenth root of 6327614671 to the nearest integer?
10
What is 191130102 to the power of 1/2, to the nearest integer?
13825
What is 792047723 to the power of 1/3, to the nearest integer?
925
What is the square root of 5730895 to the nearest integer?
2394
What is 50801741 to the power of 1/6, to the nearest integer?
19
What is the square root of 738065493 to the nearest integer?
27167
What is 99735488 to the power of 1/2, to the nearest integer?
9987
What is 3238777043 to the power of 1/4, to the nearest integer?
239
What is the third root of 49521192 to the nearest integer?
367
What is the tenth root of 41769728 to the nearest integer?
6
What is the cube root of 137498762 to the nearest integer?
516
What is 37086409 to the power of 1/3, to the nearest integer?
333
What is the cube root of 248978716 to the nearest integer?
629
What is 853212031 to the power of 1/2, to the nearest integer?
29210
What is the tenth root of 115478379 to the nearest integer?
6
What is the tenth root of 1878666041 to the nearest integer?
8
What is the cube root of 124204334 to the nearest integer?
499
What is 935518444 to the power of 1/3, to the nearest integer?
978
What is the eighth root of 167689896 to the nearest integer?
11
What is 90580066 to the power of 1/2, to the nearest integer?
9517
What is 7696807987 to the power of 1/2, to the nearest integer?
87731
What is the square root of 31765782 to the nearest integer?
5636
What is the cube root of 51533111 to the nearest integer?
372
What is 33872638 to the power of 1/3, to the nearest integer?
324
What is 34942081 to the power of 1/3, to the nearest integer?
327
What is 1354742102 to the power of 1/2, to the nearest integer?
36807
What is 110801393 to the power of 1/9, to the nearest integer?
8
What is 234840487 to the power of 1/8, to the nearest integer?
11
What is the third root of 3803682233 to the nearest integer?
1561
What is 106451222 to the power of 1/2, to the nearest integer?
10318
What is the eighth root of 55438418 to the nearest integer?
9
What is the square root of 235943560 to the nearest integer?
15360
What is 3238089470 to the power of 1/2, to the nearest integer?
56904
What is 42384769 to the power of 1/9, to the nearest integer?
7
What is the eighth root of 63812139 to the nearest integer?
9
What is 346130528 to the power of 1/3, to the nearest integer?
702
What is 540218797 to the power of 1/6, to the nearest integer?
29
What is the cube root of 104323810 to the nearest integer?
471
What is the fifth root of 279453789 to the nearest integer?
49
What is 129066004 to the power of 1/7, to the nearest integer?
14
What is 4708754603 to the power of 1/2, to the nearest integer?
68620
What is the square root of 13644941 to the nearest integer?
3694
What is the cube root of 787750826 to the nearest integer?
924
What is the sixth root of 2174595900 to the nearest integer?
36
What is 5547339 to the power of 1/2, to the nearest integer?
2355
What is 232747827 to the power of 1/3, to the nearest integer?
615
What is 272832132 to the power of 1/3, to the nearest integer?
649
What is 413280499 to the power of 1/8, to the nearest integer?
12
What is the ninth root of 38294942 to the nearest integer?
7
What is the third root of 30172937 to the nearest integer?
311
What is the tenth root of 13422370 to the nearest integer?
5
What is 4950968809 to the power of 1/2, to the nearest integer?
70363
What is 690374392 to the power of 1/4, to the nearest integer?
162
What is the cube root of 3695258667 to the nearest integer?
1546
What is 81308030 to the power of 1/6, to the nearest integer?
21
What is the third root of 246333849 to the nearest integer?
627
What is the square root of 44838247 to the nearest integer?
6696
What is the square root of 927356765 to the nearest integer?
30453
What is the cube root of 652999436 to the nearest integer?
868
What is the eighth root of 361929448 to the nearest integer?
12
What is the cube root of 377134503 to the nearest integer?
722
What is the tenth root of 34594537 to the nearest integer?
6
What is the cube root of 2505771342 to the nearest integer?
1358
What is the third root of 6651383318 to the nearest integer?
1881
What is the square root of 291273985 to the nearest integer?
17067
What is 7064488 to the power of 1/2, to the nearest integer?
2658
What is 2997728068 to the power of 1/2, to the nearest integer?
54752
What is the cube root of 47397520 to the nearest integer?
362
What is 2803911602 to the power of 1/3, to the nearest integer?
1410
What is 2215008123 to the power of 1/8, to the nearest integer?
15
What is the square root of 968877652 to the nearest integer?
31127
What is 581807536 to the power of 1/2, to the nearest integer?
24121
What is the fifth root of 104928924 to the nearest integer?
40
What is the third root of 175724342 to the nearest integer?
560
What is the tenth root of 986508175 to the nearest integer?
8
What is the square root of 11631112 to the nearest integer?
3410
What is the fifth root of 18957058 to the nearest integer?
29
What is the seventh root of 489330968 to the nearest integer?
17
What is the sixth root of 355249402 to the nearest integer?
27
What is the ninth root of 97525554 to the nearest integer?
8
What is 137212605 to the power of 1/8, to the nearest integer?
10
What is the ninth root of 46 | {
"pile_set_name": "DM Mathematics"
} |
o 1 dp?
1
Let n = 0 + 8. Let t = 13 - n. Suppose 365 = i + t. Round i to the nearest one hundred.
400
Let b = 1 + -1. Let y be -5 + 7 + 1 + b. Let w be 60001/4 - y/12. Round w to the nearest ten thousand.
20000
Let k = 2.21 - 2.3. Let i = k - 10.91. Let c = 10.951 + i. What is c rounded to two dps?
-0.05
Let n = 344 - 340.86. Let i = n - 3. Let f = -0.162 + i. Round f to two dps.
-0.02
Let f = 832 - 548. Suppose f + 556 = p. Round p to the nearest one hundred.
800
Let u be (3 - 6) + (2 - 4). Let h be -52*(-20)/8*u. Round h to the nearest 100.
-700
Let b = -2.24 + 11.14. Let c = 10.5 - 0.5. Let w = c - b. What is w rounded to zero dps?
1
Let g = 4.01 + -4. Let l = 0.095 - g. Let s = 0.13 - l. Round s to two decimal places.
0.05
Let v = 0.29531877 - 0.2953. Round v to 6 dps.
0.000019
Let a = -81 + 118. Let g = 500849269 - 500849232.0000019. Let f = g - a. What is f rounded to 6 dps?
-0.000002
Let v = -1 - -7. Let q = 12.5 + -17. Let b = q + v. What is b rounded to the nearest integer?
2
Let c(r) = 2*r**2 - 3*r + 3. Let q be c(2). Suppose 79007 - 879002 = -4*m - o, -3*o = -q*m + 1000015. What is m rounded to the nearest 100000?
200000
Let o = -6.7 + 2.2. Let r = o + 4. What is r rounded to the nearest integer?
-1
Let m = 34.9999981 + -35. Round m to 6 decimal places.
-0.000002
Let b = 3 + -7. Let y = b - -3.84. Let f = -0.2 - y. What is f rounded to two decimal places?
-0.04
Suppose 5*o + 3 = 28. Let z(p) = p - 5. Let a be z(o). Suppose a = -x + 15 + 28. What is x rounded to the nearest ten?
40
Let z(t) be the second derivative of -t**5/20 - t**4/12 + t**2 + 3*t. Let l be z(0). Suppose v + 38000 = l*v. What is v rounded to the nearest ten thousand?
40000
Let t = -8459 - -8461.0045. Let z = -2 + t. What is z rounded to three decimal places?
0.005
Let p = 6.6 + -6.5999883. What is p rounded to 6 dps?
0.000012
Let p be (-6)/15 - (-2116)/(-10). Let l be p/((0 + 3)/750). Round l to the nearest 10000.
-50000
Let w = 12 - 29. Let t = w + 17.0062. What is t rounded to three dps?
0.006
Let b = 98089 + -98088.940009. Let v = 0.06 - b. What is v rounded to six decimal places?
0.000009
Let c = -17781034.9699909 - -17781037. Let b = c - 2.03. Round b to 6 dps.
0.000009
Let z(q) = -1360*q**2 - 14*q + 8. Let c be z(12). What is c rounded to the nearest 10000?
-200000
Let q = 3388 - 3387.986897. Let l = q + -0.013. What is l rounded to five dps?
0.0001
Let q = -2151446.035871 - -2151445. Let t = 1.1668773 + q. Let o = t + -0.131. Round o to 6 decimal places.
0.000006
Let k = 66466614944488228.29999987 + -66466614664025366. Let f = 280462861 - k. Let v = -1.3 - f. What is v rounded to 7 decimal places?
-0.0000001
Let r = -1588049 - 95591. Let j = r + 942251. Let f = j + 41389. What is f rounded to the nearest one million?
-1000000
Let o = -0.56387 - -32.54287. Let w = o - 32. Let b = 0.02008 + w. Round b to 4 dps.
-0.0009
Suppose 4*n = -4*v + 2952, 5*v = 6*n - n + 3720. Let j = v - 10831. Let q = -5690 - j. Round q to the nearest 1000.
4000
Let g = -42.2289 - -0.0289. What is g rounded to zero dps?
-42
Let x = -33.98 - -34. What is x rounded to 1 dp?
0
Let k = 1 + -5. Let m(z) = -56*z**2 + 3*z - 2. Let b be m(k). What is b rounded to the nearest one hundred?
-900
Let h = -317219365.7408 + 315933118.640861. Let v = h + 1286116.1. Let p = v - -131. What is p rounded to five dps?
0.00006
Let m = -2.3 + 2.15. Round m to one dp.
-0.2
Let t = 106 - 105.99999732. What is t rounded to 7 dps?
0.0000027
Let n = 1516150 - 1516049.0051. Let m = 101 - n. What is m rounded to three decimal places?
0.005
Let m = -0.75 - 0.1. Let o = -0.05 + m. Let f = o + 0.89999989. Round f to seven dps.
-0.0000001
Let w = 71 - -2. Let d = -308308.189938 - -308381.19. Let r = d - w. Round r to 5 decimal places.
0.00006
Let y(h) = -h**3 + 4. Let q be y(0). Suppose 0*z - 76800 = -q*z. What is z rounded to the nearest 1000?
19000
Let j be 3/(-4) - 189591/12. Let v be ((-9)/18)/(1/j). What is v rounded to the nearest one thousand?
8000
Let k = 2.087 - 0.037. Round k to one dp.
2.1
Suppose -2*a + a + 200 = 0. Round a to the nearest 1000.
0
Suppose -3 = -a - 2*a. Let o(x) = -2 + 2 + 5 - 3*x + 2*x**2 + 209*x**3 - a. Let v be o(4). Round v to the nearest 1000.
13000
Let s = 0.150396 - -386.684604. Let p = -394.9 + s. Let f = p - -8. Round f to two decimal places.
-0.07
Let q = -67.6 + 74. Round q to the nearest integer.
6
Let t = -58 - -20. Let i = 38.1904 + 0.4396. Let s = t + i. What is s rounded to one dp?
0.6
Let a = -0.0391 - -0.3201. Let j = 16.019 + a. Round j to the nearest integer.
16
Let o = -17894484 - -45894484. Suppose -o = 9*q - 5*q. What is q rounded to the nearest 1000000?
-7000000
Let o be (-75)/20*552/(-9). Let i = -109 + o. Round i to the nearest ten.
120
Let f = -2.9 + -13. Round f to the nearest integer.
-16
Let s = -27 + 16. Let l = -11.0009 - s. Round l to three dps.
-0.001
Suppose 5*p + 6 - 233 = -b, 0 = 3*b - 5*p - 741. Suppose -4*n - 5*i + 983 = -0*n, 2*i = -n + b. Suppose -d + 4*d = -n. What is d rounded to the nearest ten?
-80
Let d = -4 - -7. Suppose -1400009 = -4*j + 3*o, -j + 4*j = -d*o + 1049991. Round j to the nearest one hundred thousand.
400000
Let m = 200.99766 + -201. Round m to four decimal places.
-0.0023
Let q = 80959 - 80955.50039. Let y = q - 3.5. Round y to four decimal places.
-0.0004
Suppose 0 = -0*h - 2*h. Suppose -9 = -h*f - f. Suppose 0 = x + 4*r - 78, -4*r + 396 = 4*x - f*r. What is x rounded to the nearest 10?
90
Let k = 37.74 - 48.9. Let a = 11 + k. Let m = 0.34 + a. What is m rounded to one decimal place?
0.2
Let z be (-9569990)/55 + 4/(-22). Round z to the nearest ten thousand.
-170000
Let r = 0.57000121 + -0.57. What is r rounded to 7 dps?
0.0000012
Let g = 15313.896 + -19326.78. Let j = 3951 + g. Let r = j + 62. Round r to 2 decimal places.
0.12
Let w = -1291.980048 + 1292. Let d = 0.2 - 0.22. Let k = d + w. What is k rounded to 5 decimal places?
-0.00005
Let h = 2025946 - 1033762. Suppose 5*r = -4*q - 2159990, -h = 4*q - 5*r + 1167826. What is q rounded to the nearest 100000?
-500000
Let v = -404 + 403.803. Let j = -8.097 - v. What is j rounded to 0 dps?
-8
Let h = -56.5 - 6.5. Let u = 63.78 + h. Let k = u + -0.08. What is k rounded to the nearest integer?
1
Suppose -3*k + 11 + 4 = 0. Suppose -3*w + k*w + 4 = 0. Let a be 1*(-1 - w) - -29999. What is a rounded to the nearest 100000?
0
Let q = 4.58293262 - -0.01711438. Let c = q - 4.6. What is c rounded to five dps?
0.00005
Let x = 1.999984 + -2. Let y = 0 + x. Round y to 5 decimal places.
-0.00002
Let s = -248 + 61. Let d = -195.7 - s. What is d rounded to zero dps?
-9
Let c be (-492)/(-4) + 1 + -1. Let y = c + 577. What is y rounded to the nearest one thousand?
1000
Let j = -3.338 - -0.038. Let g = 3.3023 + j. What is g rounded to 3 dps?
0.002
Let r = -7173.13100071 + 7173.161. Let y = -2.6 + 2.57. Let m = r + y. What is m rounded to 7 dps?
-0.0000007
Let o = 50 + -49.99978. Round o to 4 decimal places.
0.0002
Let d = -28286.963 - -28266. Let b = 0.037 - d. Let y = b + -20.99955. What is y rounded to 4 decimal places?
0.0005
Let l = 6.5959 - 6.6. What is l rounded to 3 dps?
-0.004
Let q be 1/(-3) - (-20845)/3. Suppose 28153 - q = 5*l. Let k = l + 4859. Round k to the nearest one thousand.
9000
Let w = 0.0259 - -199.9741. Let r = 199.999913 - w. Let v = 0 - r. Round v to five decimal places.
0.00009
Let b = 4.7745 - 4.89. Let p = 0.12 + b. What is p rounded to 3 decimal places?
0.005
Let f = 0 - 0.00003. What is f rounded to 4 dps?
0
Let r = 980866441 + -980866628.0000089. Let p = -283 - -470. Let g = p + r. Round g to six decimal places.
-0.000009
Let u be ((-11474)/(-4))/((-1)/(-22)). Let g = -123107 + u. Round g to the nearest one hundred thousand.
-100000
Let r = -0.1 - -2.1. Let i = -2.05376 - -0.05656. Let a = r + i. Round a to three dps.
0.003
Let v = -194374 + 283874. Suppose -7*f + 2*f = -v. Round f to the nearest one thousand.
18000
Let c = -230579 + 230579.2199912. Let j = c + -0.22. What is j rounded to six dps?
-0.000009
Let t = -25.861 - 0.039. Round t to zero dps.
-26
Let k = 5.80036 - -0.05364. Let u = 0.054 - k. Round u to the nearest integer.
-6
Let g = -28.983 - 0.017. Let s = 29.11 + g. Let i = s + -0.1035. What is i rounded to three decimal places?
0.007
Let a(t) = 2*t**2 | {
"pile_set_name": "DM Mathematics"
} |
How many micrometers are there in 31/5 of a centimeter?
62000
What is twenty-seven halves of a litre in millilitres?
13500
Convert 2968.086 nanometers to meters.
0.000002968086
Convert 0.89213 nanograms to micrograms.
0.00089213
How many kilograms are there in fifteen quarters of a tonne?
3750
What is 944813.2 seconds in microseconds?
944813200000
Convert 4.798684 centuries to years.
479.8684
What is 0.2328446l in millilitres?
232.8446
What is 217.7307 millennia in months?
2612768.4
Convert 324410.7 kilometers to millimeters.
324410700000
What is 2.966084km in micrometers?
2966084000
What is 1.615042mm in micrometers?
1615.042
Convert 0.7248691 years to months.
8.6984292
What is 4/75 of a century in months?
64
What is 14.2935651s in days?
0.00016543478125
How many seconds are there in four thirds of a hour?
4800
What is 1/4 of a century in years?
25
What is twenty-one fifths of a millennium in decades?
420
Convert 69.82125 millimeters to kilometers.
0.00006982125
Convert 8.43162 millilitres to litres.
0.00843162
What is 0.1715159 nanograms in milligrams?
0.0000001715159
How many weeks are there in 12.2171091 hours?
0.0727208875
What is 26410.86nm in micrometers?
26.41086
What is one tenth of a millennium in centuries?
1
What is 435.57561us in hours?
0.000000120993225
What is 0.6946782l in millilitres?
694.6782
Convert 1944.301mm to nanometers.
1944301000
Convert 0.6350336 weeks to nanoseconds.
384068321280000
Convert 79.82406ml to litres.
0.07982406
How many years are there in 3/10 of a millennium?
300
What is 2818.313 milliseconds in seconds?
2.818313
How many millilitres are there in 11.34375l?
11343.75
Convert 0.5789212ng to tonnes.
0.0000000000000005789212
How many micrometers are there in 3/25 of a millimeter?
120
Convert 92298.51 centuries to years.
9229851
How many months are there in one quarter of a century?
300
How many micrometers are there in seventeen quarters of a millimeter?
4250
How many minutes are there in 1/28 of a week?
360
How many nanometers are there in 7.694254 meters?
7694254000
How many millilitres are there in sixty-one quarters of a litre?
15250
Convert 767.3976ns to minutes.
0.00000001278996
What is 1/100 of a millimeter in micrometers?
10
Convert 11820.82167 milliseconds to weeks.
0.000019545009375
What is thirty-three fifths of a meter in centimeters?
660
What is 346.9077ml in litres?
0.3469077
What is 0.1770861mg in nanograms?
177086.1
Convert 84764.46 weeks to seconds.
51265545408
How many milliseconds are there in 0.070652 hours?
254347.2
How many milligrams are there in thirteen eighths of a gram?
1625
What is 3/32 of a kilometer in millimeters?
93750
What is 4364.66l in millilitres?
4364660
Convert 30891.44 kilograms to milligrams.
30891440000
What is 3/50 of a centimeter in micrometers?
600
How many grams are there in 11/10 of a kilogram?
1100
What is 1/6 of a hour in minutes?
10
How many decades are there in one tenth of a century?
1
What is 5/8 of a kilometer in meters?
625
What is eleven halves of a century in decades?
55
What is 9446.658t in grams?
9446658000
What is fifty-four fifths of a minute in seconds?
648
How many milliseconds are there in 1/30 of a minute?
2000
What is 3/10 of a litre in millilitres?
300
What is 9/10 of a kilometer in centimeters?
90000
How many decades are there in three fifths of a century?
6
How many millennia are there in 61179.1 years?
61.1791
What is twenty-one eighths of a litre in millilitres?
2625
How many days are there in 19.4661522s?
0.0002253026875
How many tonnes are there in 0.4193366 milligrams?
0.0000000004193366
How many nanograms are there in twenty-nine halves of a microgram?
14500
How many nanograms are there in 1/4 of a microgram?
250
What is 516295.3cm in millimeters?
5162953
How many microseconds are there in one quarter of a millisecond?
250
Convert 9.177216 litres to millilitres.
9177.216
Convert 80232.26 micrometers to millimeters.
80.23226
How many nanograms are there in eleven halves of a microgram?
5500
How many nanograms are there in one sixteenth of a milligram?
62500
How many nanoseconds are there in 99830.48 minutes?
5989828800000000
Convert 924442.8 centimeters to micrometers.
9244428000
How many millilitres are there in one twentieth of a litre?
50
How many minutes are there in three sixteenths of a week?
1890
What is 1/18 of a week in seconds?
33600
What is 2508.731nm in kilometers?
0.000000002508731
What is 45/2 of a gram in milligrams?
22500
What is 0.3672826 years in decades?
0.03672826
What is three fifths of a century in years?
60
What is 1/20 of a gram in micrograms?
50000
How many nanometers are there in 9.725273 meters?
9725273000
Convert 16020.02 centimeters to nanometers.
160200200000
How many millilitres are there in thirty-one halves of a litre?
15500
What is 9/10 of a litre in millilitres?
900
What is 3/10 of a gram in milligrams?
300
What is seventeen halves of a litre in millilitres?
8500
Convert 14.61228 millilitres to litres.
0.01461228
How many milligrams are there in sixty-one halves of a gram?
30500
How many micrograms are there in 71797.13mg?
71797130
Convert 16180346.7ms to weeks.
0.02675321875
What is 149767.8 millimeters in micrometers?
149767800
How many millilitres are there in 5.95035l?
5950.35
How many seconds are there in 182369.4 milliseconds?
182.3694
How many kilometers are there in 6.080951cm?
0.00006080951
How many litres are there in 0.052482ml?
0.000052482
What is 2055.7074 months in millennia?
0.17130895
How many millilitres are there in nine tenths of a litre?
900
What is one fifth of a century in decades?
2
What is 0.8908246 minutes in microseconds?
53449476
What is 6065.625um in nanometers?
6065625
How many nanometers are there in 75844.71m?
75844710000000
How many grams are there in one quarter of a kilogram?
250
Convert 2.39296cm to micrometers.
23929.6
What is 17172.258 months in millennia?
1.4310215
Convert 8411.183 kilometers to centimeters.
841118300
How many months are there in eighteen fifths of a decade?
432
What is 20457.4626ns in days?
0.0000000002367761875
What is sixty-four thirds of a day in hours?
512
Convert 0.1366872 hours to seconds.
492.07392
Convert 117.35433 milliseconds to hours.
0.000032598425
How many meters are there in 5.386827 nanometers?
0.000000005386827
What is 13/4 of a gram in milligrams?
3250
What is 86.02535 millilitres in litres?
0.08602535
How many micrometers are there in 3973.402 millimeters?
3973402
How many millilitres are there in twenty-one quarters of a litre?
5250
What is 8841.92 centuries in months?
10610304
Convert 7112.577g to nanograms.
7112577000000
How many kilograms are there in 3/8 of a tonne?
375
What is 3/5 of a litre in millilitres?
600
How many millilitres are there in 2619.755l?
2619755
How many decades are there in 0.3704958 months?
0.003087465
What is six fifths of a microsecond in nanoseconds?
1200
Convert 53.28231 days to milliseconds.
4603591584
How many minutes are there in 17/6 of a week?
28560
How many centimeters are there in 32942.09m?
3294209
How many nanograms are there in twenty-six fifths of a microgram?
5200
How many years are there in one tenth of a decade?
1
How many years are there in fifty-nine fifths of a decade?
118
How many milligrams are there in 19/4 of a gram?
4750
Convert 3.579861mg to kilograms.
0.000003579861
What is 8505.697 centuries in decades?
85056.97
How many meters are there in twenty-five halves of a kilometer?
12500
How many minutes are there in 5254.282 weeks?
52963162.56
Convert 26968690.8 microseconds to days.
0.000312137625
How many millennia are there in 18310.092 months?
1.525841
How many years are there in three tenths of a decade?
3
What is 161.88um in centimeters?
0.016188
How many years are there in 1/4 of a century?
25
What is one twentieth of a kilogram in grams?
50
Convert 9.712191kg to milligrams.
9712191
How many millilitres are there in twenty-seven fifths of a litre?
5400
Convert 25.29636 seconds to microseconds.
25296360
Convert 1232.854ml to litres.
1.232854
How many seconds are there in 7/2 of a hour?
12600
How many years are there in 3/25 of a millennium?
120
What is 21/4 of a millimeter in micrometers?
5250
How many millilitres are there in 26.3499 litres?
26349.9
How many centuries a | {
"pile_set_name": "DM Mathematics"
} |
he nearest 100000.
2800000
Let h be 1/(-11 + 3) + 3/24. Suppose -3*a = 2*q + 1, -q + 7 = -a - 3*q. Suppose 117 = a*z - h*z. Round z to the nearest 10.
40
Let l = -413 + 408.94. Let m = -14.024 - l. Let o = -10 - m. Round o to 2 decimal places.
-0.04
Let s = 0.008 - 0.0165. Round s to 3 dps.
-0.009
Let u = -6566.813 - -6573. Let i = u - -0.113. Round i to zero dps.
6
Let y = -5731.2137 - -5730.11234919. Let b = 0.3386484 - y. Let n = b + -1.44. What is n rounded to seven dps?
-0.0000008
Let c = 317752.1764 + -317685. Let x = -0.0764 + c. Let z = x + -71. Round z to 0 decimal places.
-4
Let m be (-376000)/6*60/8. What is m rounded to the nearest one hundred thousand?
-500000
Let p = -27 - -13. Let m = p - 2. Let y = 16.0009 + m. Round y to three dps.
0.001
Let s be (-1)/(-4) - 87874/8. Let b = 6684 + s. Round b to the nearest one thousand.
-4000
Let s(u) = -56600001*u**2 + 2*u + 3. Let y be s(-1). What is y rounded to the nearest 1000000?
-57000000
Let q = -45.0102 - -45. Round q to three decimal places.
-0.01
Let a(s) = s**3 + 4*s**2 + s + 4. Let z be a(-4). Suppose z*g = g - 1715. Suppose -n = 3*f - g, 0*n + 565 = f - n. Round f to the nearest one hundred.
600
Let c = -24 - -40. Let x = c - 10. Let a = -5.999934 + x. Round a to 5 dps.
0.00007
Let r = 59 + -59.000092. What is r rounded to 5 dps?
-0.00009
Suppose -4*f + n = -904, 3*f + f = -n + 896. Round f to the nearest 10.
230
Let u = -0.021 + 0.0449. What is u rounded to 3 decimal places?
0.024
Let g = 6 + -2. Suppose -5*h = -g*h + 4. Let f be (-2550006)/(-15) - h/(-10). What is f rounded to the nearest 100000?
200000
Suppose 0 = -5*i - 1 - 224. Let g be (i/(-4))/(6/(-480000)). Round g to the nearest one hundred thousand.
-900000
Let y = 21.2 - -124.8. Let i = -280.5292 + 134.529271. Let l = i + y. What is l rounded to 5 decimal places?
0.00007
Let w = 905.01 + -900. What is w rounded to one decimal place?
5
Let g = -26.6493 - 0.3037. Let r = -27 - g. What is r rounded to 2 decimal places?
-0.05
Let k(d) = -7939*d**2 + 7*d - 4. Let v be k(4). Round v to the nearest ten thousand.
-130000
Let o = 4.97 - 0.07. What is o rounded to the nearest integer?
5
Suppose -3*u + 179281 = d, 3*d - 169987 = -2*u - 50464. Let c = -112760 + u. What is c rounded to the nearest ten thousand?
-50000
Let r = 1 + -0.96. Let w = 0.0469 - r. What is w rounded to three dps?
0.007
Let t = -418.12 + 410. Let v = 0.02 + t. Round v to zero dps.
-8
Let t = 7 + -13. Let p = 6.0000064 + t. Round p to six dps.
0.000006
Let u be (-10)/65 - 41/(-13). Suppose u*c - 41884 = 87116. Round c to the nearest 10000.
40000
Suppose -187 = z - 0*t - 2*t, -4*t - 20 = 0. Suppose 0 = h - 4*l + 76, -4*h + 3*h = l + 66. Let c = h - z. Round c to the nearest ten.
130
Suppose -3*q = -4*b + 6*b + 17, -b - 21 = 4*q. Let f be 1 - 1/b - 33002. What is f rounded to the nearest ten thousand?
-30000
Let f(p) = 311200*p. Let s be f(-25). What is s rounded to the nearest one million?
-8000000
Let p = 0.807 - 1.45. What is p rounded to one dp?
-0.6
Let q = 111 - 110.999921. What is q rounded to five decimal places?
0.00008
Let t = 0 - -5. Suppose 4*y - 4040000 = o, 0*y = -t*y - 3*o + 5050000. What is y rounded to the nearest 100000?
1000000
Let c = -101.264 + 102. Round c to 2 dps.
0.74
Let q = 5.2 - 6.17. What is q rounded to one decimal place?
-1
Let c = -1.7 + 3.5. Let d = -4226.929 - -4225. Let w = c + d. What is w rounded to 2 dps?
-0.13
Suppose 0 = 2*c - 5 + 17. Let t(f) = -5251*f**2 - 7*f - 6. Let l be t(c). What is l rounded to the nearest ten thousand?
-190000
Let m = -22.0145 - -22. Round m to 3 dps.
-0.015
Let l = -9.60001 + 9.6. What is l rounded to 4 dps?
0
Let w = 0.044 + -0.043922. Let p = w + 0. What is p rounded to 5 dps?
0.00008
Let y = 7 + -5. Suppose 0 = 2*w + y*w + 4800. What is w rounded to the nearest one thousand?
-1000
Suppose -3*p - 4*f + 2*f = 35396, 2*f + 11796 = -p. What is p rounded to the nearest one thousand?
-12000
Let j = -292.9999801 - -293. What is j rounded to six decimal places?
0.00002
Let n = -144 + 147.47. Let l = 0.03 + n. Let u = -3.4946 + l. What is u rounded to 3 decimal places?
0.005
Let d be (182000/15)/((-1)/(-150)). What is d rounded to the nearest 100000?
1800000
Let r = 0.15 + -0.150005. What is r rounded to six dps?
-0.000005
Let f = 102 + -101.99814. Round f to 4 dps.
0.0019
Let d = -0.2 - -0.3. Let t = -0.7 + d. Let g = t + -2.2. What is g rounded to the nearest integer?
-3
Let f(v) = v**3 - v**2 - 2*v - 4. Let z be f(3). Suppose 5*n + z = 3*h, 2*n - n = h - 2. Let g be -1 - (0 - (h - -20)). Round g to the nearest 100.
0
Let x = -11.502 + 2.192. Round x to 0 decimal places.
-9
Let n be (1/2)/(8/192). Round n to the nearest 10.
10
Suppose q = -4*h + 639, -4*q + 142 = h - 14. Round h to the nearest 100.
200
Let n = 7 + 8. Let t = n - 15.4125. Let o = t + 0.4. What is o rounded to 3 decimal places?
-0.013
Let d = 39.3 - 36. Let a = d + -3.337. What is a rounded to 2 decimal places?
-0.04
Let a = 123117355455654.80669933 + -123117353899904. Let l = a + -1555828.8067. Let b = l - -78. Round b to 7 decimal places.
-0.0000007
Suppose -z = 180369 + 546778. Suppose y + 3*y = 5828588. Let f = y + z. What is f rounded to the nearest one hundred thousand?
700000
Let k = -137 - -94. Let a = -42.28 - k. What is a rounded to 1 dp?
0.7
Suppose -4*p - 1 = 4*k - k, -4 = p + 2*k. Let i be p*3/(-12)*-3400. Round i to the nearest 1000.
2000
Let u = 18.168 - 18. Let d = -1244618.1679933 - -1244618. Let c = u + d. What is c rounded to six dps?
0.000007
Let h = 31740.699892 - 31741. Let u = h - -0.3. What is u rounded to five dps?
-0.00011
Let l = 12.05 + -12. Round l to two decimal places.
0.05
Let q = 200 - 81. Let z = 119.0000157 - q. What is z rounded to 6 decimal places?
0.000016
Let t be (-352000)/(-4)*(-1)/2. What is t rounded to the nearest 10000?
-40000
Let g = -18.4 + 1.4. Let r = 16.9978 + g. Let p = r - -0.008. Round p to three dps.
0.006
Let a be (6/(-4))/(3/(-4)). Let p(l) = -5*l**2 - 427*l**3 - 822*l**3 - l**a. Let z be p(6). What is z rounded to the nearest 100000?
-300000
Suppose 158 = f - 1142. Round f to the nearest 100.
1300
Suppose 0 = t - 0*t - 5722. Let b = t + -13722. What is b rounded to the nearest one thousand?
-8000
Let d(j) = -1461*j**3 + j. Let q be d(-1). Round q to the nearest 100.
1500
Let m = -146.000126 + 146. Round m to 4 dps.
-0.0001
Let f = 8676 + -15156. Round f to the nearest one thousand.
-6000
Let y be 5 + 2/(-2) + 0. Suppose 0 = -5*c + f + 74, y*c - 2*f + 0*f - 58 = 0. Let l = c - 5. What is l rounded to the nearest one hundred?
0
Let t(w) = -1240000*w. Suppose 0*b + v + 10 = 2*b, 4*v = b + 2. Let r be 9/b*(-10)/(-3). Let h be t(r). What is h rounded to the nearest 1000000?
-6000000
Let i = -31.603 - 22300.397. Let k = 22326.0014 + i. Let b = k - -6. What is b rounded to 3 decimal places?
0.001
Let n be ((-180)/42)/(2/252). Round n to the nearest ten.
-540
Let o = 705630364.94407 + -705637955. Let x = -7590 - o. Let q = x - 0.055. Round q to four dps.
0.0009
Let l be 6/(-21) + (-58)/(-7). Let y = -6 + l. Suppose -2150000 = -3*u - y*u. Round u to the nearest 100000.
400000
Let p = -1.6 + -6.36. Let r = 8 + p. What is r rounded to one decimal place?
0
Let b = -71.937 - -72. Round b to 2 dps.
0.06
Let o = 1.56 - 0.6. Let m = o + -1.2. What is m rounded to two decimal places?
-0.24
Let w = 57 + -57.00058. What is w rounded to four decimal places?
-0.0006
Let a = 41 - -1. Let z = a - 40.04. Let g = z + -2. Round g to 2 decimal places.
-0.04
Suppose 5 + 3 = s. Suppose g = r - 0*g - 14, 4*r - 46 = -g. Let h = r - s. What is h rounded to the nearest ten?
0
Let q = -18 - -28. Let c be q/(-75) - (-105002)/15. What is c rounded to the nearest 1000?
7000
Suppose 6*l - 2*l = 72000000. Suppose y + y + l = 0. What is y rounded to the nearest one million?
-9000000
Let x be 4/18 - 88/72. Let b be (x - -1)/(0 + 2). Suppose b = -q + 3*q - 116000. What is q rounded to the nearest 10000?
60000
Let c = 56 + -55.99977. What is c rounded to five decimal places?
0.00023
Let w = -1979 - -907. Let j = 791 - 359. Let u = j + w. Round u to the nearest 100.
-600
Let b = 10.2 - 5. Let n = b + -1.1. What is n rounded to zero dps?
4
Let n = 9.9982 - 10. Round n to three decimal places.
-0.002
Let p = 22 + -16. | {
"pile_set_name": "DM Mathematics"
} |
(135)/(sqrt(9)/sqrt(3)) + sqrt(90)/(1*sqrt(2)) + sqrt(45))/(((2*sqrt(72) - sqrt(72)) + sqrt(72))/sqrt(8) + 1*sqrt(9)*2).
3*sqrt(5)/4
Simplify (5*-3*sqrt(19)*1*-5 + 2*1*sqrt(19)*1*-2)**2.
95779
Simplify 6*(sqrt(63)/(sqrt(1575)/sqrt(7) + sqrt(9))*-4)**2*3.
56
Simplify (((sqrt(7) + sqrt(252) - (sqrt(7) + sqrt(315)/sqrt(5))) + 2)*-6)**2.
432*sqrt(7) + 2412
Simplify -4*(-1*sqrt(400) - sqrt(400))/(-2*sqrt(8)).
-20*sqrt(2)
Simplify 0 + -3 + ((sqrt(1377) + 1 + sqrt(1377) + 2 - sqrt(1377)) + sqrt(1377) - sqrt(1377))**2 + (4 + 0 + sqrt(1377))**2*-3.
-2796 - 162*sqrt(17)
Simplify (sqrt(2940)*-2*-2)/(sqrt(84)/(sqrt(56)/(sqrt(16)/sqrt(2)))).
28*sqrt(5)
Simplify ((((sqrt(200) - sqrt(200)*-2) + sqrt(200))*1)/(-5*sqrt(256)*-3))**2.
1/18
Simplify (-2*(-2*sqrt(4131) - sqrt(4131)))/((-2*(sqrt(12) + sqrt(300)))/sqrt(4)).
-9*sqrt(17)/2
Simplify (-2*((sqrt(70) - 1*sqrt(70)) + sqrt(70))*5)/((2*sqrt(90)*2 + sqrt(90))/sqrt(9)).
-2*sqrt(7)
Simplify (2*3*sqrt(8))/((sqrt(24) + (-3*sqrt(24) - sqrt(24)))/sqrt(6)).
-2*sqrt(2)
Simplify (-2*(-1*sqrt(294) + sqrt(6)))/(sqrt(15)/sqrt(5)*-5 + sqrt(6)/sqrt(2)*6).
12*sqrt(2)
Simplify (-5 + 0 + sqrt(539) - sqrt(539))*-4 + 4*-2*-2*sqrt(539).
20 + 112*sqrt(11)
Simplify ((sqrt(18) + -2*sqrt(18))*-1)**2 + 2*-1*sqrt(2) + sqrt(2) + sqrt(2) + 0 + sqrt(2) + -5.
sqrt(2) + 13
Simplify (-1*sqrt(153)*4 - (0 + sqrt(153) + 1 + sqrt(153)) - (-5 + sqrt(153) + 0 + 4))**2.
7497
Simplify (5*sqrt(1573)*3*-6*1)**2.
12741300
Simplify -2*sqrt(1216)*1 + -2 + 4 + sqrt(2736)*-1 + 3.
-28*sqrt(19) + 5
Simplify -5 + (-4*(3*sqrt(91)/sqrt(7))**2 - ((-1 + 2*sqrt(117))**2 - sqrt(117))).
-942 + 15*sqrt(13)
Simplify (sqrt(88)/((sqrt(4) - sqrt(4)*2)*-2))/(-3*sqrt(1331)*-5).
sqrt(2)/330
Simplify (((4 + 2*sqrt(1700) + sqrt(1700))*6 + 3)*2*-3)**2.
349920*sqrt(17) + 19855044
Simplify (1 + (3*sqrt(52)/sqrt(4)*2)**2)*-6 + -5.
-2819
Simplify 2*((1*(sqrt(1573) + -3) + 3*(sqrt(1573) + -2))*-4)**2.
-25344*sqrt(13) + 807968
Simplify sqrt(12)/(sqrt(4) - (sqrt(24)/(sqrt(216) - sqrt(6)) - sqrt(4))) - ((sqrt(3) - (sqrt(24)/sqrt(8) + 3)**2) + 3).
9 + 50*sqrt(3)/9
Simplify ((sqrt(66) + -1*sqrt(66)*1)*4)/(sqrt(726)*-2 + -2*sqrt(486) + sqrt(486)).
0
Simplify 0 + (2*sqrt(209)*1)/sqrt(11)*2.
4*sqrt(19)
Simplify ((sqrt(4131) + sqrt(4131)*-1 + sqrt(4131) - sqrt(4131))*-6)/(sqrt(27)/((1*sqrt(81))/sqrt(9))).
0
Simplify (-4 + (((sqrt(130) - sqrt(130)*3 - sqrt(130)) + sqrt(130))/sqrt(10) - (sqrt(91)/sqrt(7) + 1)))*5.
-15*sqrt(13) - 25
Simplify (sqrt(105)/(sqrt(7) + sqrt(63)/(1*sqrt(9))))/(((sqrt(385) + 2*sqrt(385))/sqrt(11))/sqrt(7)).
sqrt(3)/6
Simplify (1*(sqrt(130)*-1 + sqrt(130)))/((sqrt(10) + sqrt(50)/sqrt(5) + sqrt(10))*-3) + -3.
-3
Simplify (2 + (-2*sqrt(75) - (-1*sqrt(243) + sqrt(243) - sqrt(3))) + 2)**2.
-72*sqrt(3) + 259
Simplify 5*1*(sqrt(637) + -1 + sqrt(637))**2 - 6*(-1 + (sqrt(637) - (sqrt(637) + 3))).
-140*sqrt(13) + 12769
Simplify -3 + -4 + (-1 + sqrt(18))*-2.
-6*sqrt(2) - 5
Simplify (-1 + sqrt(700))*3 - (sqrt(49)/(sqrt(7) - -3*sqrt(112)))**2.
-514/169 + 30*sqrt(7)
Simplify -2 + ((sqrt(168) + (sqrt(168) - -1*sqrt(168)) - sqrt(168))/sqrt(7))/(sqrt(8) + (1*sqrt(80) - sqrt(80))/sqrt(10)).
-2 + 2*sqrt(3)
Simplify ((sqrt(242) + -1 + sqrt(242) + 5)*-3 - (-3*(sqrt(242) + 0) + (sqrt(242) - 6*(-1 + sqrt(242) - sqrt(242)))))**2.
1584*sqrt(2) + 4196
Simplify (sqrt(171) + (sqrt(171) - (-2*(sqrt(171) + sqrt(171)*5) - sqrt(171))))/(sqrt(72)/sqrt(1152)).
180*sqrt(19)
Simplify 4 + -5*((sqrt(112) + 2)*6 + -3).
-120*sqrt(7) - 41
Simplify -1 + (sqrt(121) - (sqrt(121) - -3*2*sqrt(121)))/(3*sqrt(99) + sqrt(99)).
-sqrt(11)/2 - 1
Simplify (sqrt(100) + sqrt(100) + sqrt(100)*-1*-4 + sqrt(100))/(-1*sqrt(2)*1)*-2.
70*sqrt(2)
Simplify ((sqrt(108) - (2*sqrt(108) + sqrt(108)) - sqrt(3)) + sqrt(147)*-1 + (sqrt(168)/sqrt(112))/(1*sqrt(128)))**2.
305283/256
Simplify -4 + (((sqrt(4320) - sqrt(4320)*-3) + sqrt(4320) + sqrt(4320))/(sqrt(120)/sqrt(3)))**2 + 1.
3885
Simplify (2 + (sqrt(660)/(sqrt(12) + sqrt(108)/sqrt(9)) - sqrt(55))/(sqrt(1100)*4 + sqrt(1100) - sqrt(11))*-1)**2.
2*sqrt(5)/49 + 38421/9604
Simplify ((-1*-2*sqrt(84) + sqrt(84))*4)/(sqrt(84)/(sqrt(7)*1) + (sqrt(12) - (sqrt(192)/sqrt(4))/sqrt(4))).
12*sqrt(7)
Simplify (3 + sqrt(125) + -4*(sqrt(125)*3 + sqrt(125)) + 0 + sqrt(15)/sqrt(27))**2.
-448*sqrt(5) + 250961/9
Simplify (sqrt(78) + (-2*sqrt(78) - sqrt(78))*-1 + (sqrt(78) - (sqrt(78) + 1*(-1*sqrt(78) + sqrt(78)) + sqrt(78))))/((sqrt(540)*-1)/sqrt(10)).
-sqrt(13)
Simplify ((1 + sqrt(80) + -4 - -1*sqrt(80)*-2) + 4)**2*-4.
-324 + 32*sqrt(5)
Simplify -3 + 0 + -1*sqrt(252)*4 + 1.
-24*sqrt(7) - 2
Simplify -5 + (5*(sqrt(11)*-1*1 - sqrt(11))**2 - (-6*(sqrt(33)/sqrt(3))**2 - sqrt(44)/(2*sqrt(4)))).
sqrt(11)/2 + 281
Simplify (sqrt(26)*-1*6)/(sqrt(72)*-5).
sqrt(13)/5
Simplify -5 + -5*((sqrt(119) - (sqrt(119) - -2*sqrt(119)))/sqrt(7) + sqrt(102)/(sqrt(6)*2)).
-5 + 15*sqrt(17)/2
Simplify -4*((sqrt(605)*3 + sqrt(605))**2*-2 + -2 + sqrt(605) + sqrt(605) + -4) + 0.
-88*sqrt(5) + 77464
Simplify 5 + (-1*-5*sqrt(108)*-1*1)**2.
2705
Simplify (((sqrt(76)*4 + sqrt(76))*-1 - sqrt(76))/(sqrt(252)/sqrt(7)))**2.
76
Simplify (sqrt(4)/(2*sqrt(288) + sqrt(2)) - -4*sqrt(14)/(sqrt(21)/sqrt(3)))**2.
20402/625
Simplify 6*((2*(sqrt(288) + 4))**2 - (-1 + sqrt(288))*6).
1872*sqrt(2) + 7332
Simplify 3*((sqrt(16)/(-2*sqrt(8) - sqrt(8)))**2 - (sqrt(72)*2 + sqrt(72) - sqrt(72))) + -3.
-36*sqrt(2) - 7/3
Simplify (-1*(-1*3*(sqrt(605) + 1) + -1))**2.
264*sqrt(5) + 5461
Simplify 5*(3*(sqrt(72) + 0) + sqrt(24)/sqrt(300) + -2).
-10 + 91*sqrt(2)
Simplify (3*(sqrt(76) - sqrt(76)*-1 - sqrt(76)))/sqrt(144)*-5.
-5*sqrt(19)/2
Simplify -3*(sqrt(608)*-4)/(sqrt(2) - (sqrt(20) - sqrt(1280))/sqrt(10)).
6*sqrt(19)
Simplify (5*4*(-4 + (sqrt(192) - (sqrt(192) - (sqrt(192) + -2)) - sqrt(192))*-6 + -3))**2.
10000
Simplify (1*6*(5 + -2*(sqrt(108) + sqrt(108) + (sqrt(108) - (sqrt(108)*-1 + -5 - sqrt(108))))))**2.
21600*sqrt(3) + 389700
Simplify (sqrt(13)*-2*5 + (-1 + sqrt(13))*-3 + (1 + sqrt(13) + -4 - sqrt(13)) + (sqrt(130) + -1*sqrt(130) - sqrt(130))/sqrt(10))**2 + 1.
2549
Simplify (sqrt(468) + sqrt(468) + (sqrt(468) + sqrt(468) + -3)**2 + sqrt(468))*-4 + sqrt(468) + (sqrt(156) + 5*2*sqrt(156) + sqrt(156) + sqrt(156))/sqrt(12).
-7524 + 235*sqrt(13)
Simplify (3 + (sqrt(1900)*3 - sqrt(1900)) + -3)*-2.
-40*sqrt(19)
Simplify ((sqrt(325) + -2 + sqrt(325) - sqrt(325)) + -4)**2 + 3 + -1.
-60*sqrt(13) + 363
Simplify (sqrt(75)*-2 - (sqrt(21)/(sqrt(7)*1))**2) + (-1 + sqrt(108) - (-6*(1 + sqrt(3)) - sqrt(3)))**2.
120*sqrt(3) + 529
Simplify (6*6*(sqrt(187) - 1*sqrt(187)))/(2*(sqrt(275) + sqrt(275) + sqrt(275) + sqrt(275)*-2)).
0
Simplify (-4*sqrt(84)*-2*-3)/((sqrt(972) + sqrt(972)*3)*3).
-2*sqrt(7)/9
Simplify sqrt(95)/(sqrt(245)*2) + -3 + (sqrt(228) + sqrt(228)*-4)/sqrt(12).
-41*sqrt(19)/14 - 3
Simplify (2*(sqrt(343) - ((sqrt(343)*2 - sqrt(343)) + 5) - (sqrt(343) - (-3 + sqrt(343) + 0))))**2 + -2.
254
Simplify 5 + (-1 + -4*sqrt(243) + -1 + 3*sqrt(243))**2 + -3.
36*sqrt(3) + 249
Simplify ((0 + (-2 + sqrt(243) + 0 + sqrt(243) - sqrt(243) - sqrt(243)) - (0 + sqrt(243) + 4 - (sqrt(243) + sqrt(243) + 1 + 3)))*-3)**2.
-324*sqrt(3) + 2223
Simplify ((sqrt(539) - (1*sqrt(539) + 3)) + -1)**2*2*-4.
-128
Simplify 6*(-4*sqrt(896))/(-3*sqrt(24)/sqrt(3)).
32*sqrt(7)
Simplify 5*(0 + 1 + sqrt(4)/sqrt(2) + -1 + sqrt(18) + ((2*sqrt(20))/sqrt(10) - 2*sqrt(18))).
0
Simplify (sqrt(1053)*-2 - (sqrt(637) + 1) - (sqrt(1573) + sqrt(1573) + -2 + 4))**2.
282*sqrt(13) + 28726
Simplify ((sqrt(104)/sqrt(2)*1)/sqrt(2))/((sqrt(64)/(sqrt(8)/sqrt(2)))/sqrt(8)).
sqrt(13)
Simplify 5*(5 + -1*sqrt(128))*-1*-6.
-240*sqrt(2) + 150
Simplify -4 + ((sqrt(704) - (sqrt(704) - (-1*sqrt(704) + -4 + sqrt(704)))) + sqrt(704) + sqrt(704) + sqrt(704) + (sqrt(704)*-1 - sqrt(704)) + 0)**2.
-64*sqrt(11) + 716
Simplify (5*sqrt(720)*1 + -4 + sqrt(720) + 0 + sqrt(720) - ((sqrt(5) - ((sqrt(45)*-1)/sqrt(9) + sqrt(5))) + (sqrt(5) - sqrt(125)*-1)))**2.
-616*sqrt(5) + 29661
Simplify -2*(sqrt(75) + -5*(1 + sqrt(75)) - (sqrt(75) + 4*sqrt(75) + -1 + sqrt(75)))**2*2.
-30064 - 1600*sqrt(3)
Simplify 1*(sqrt(352) - (((sqrt(352) + -2*sqrt(352) - sqrt(352)) + sqrt(352))*2 - sqrt(352)))/(-5*sqrt(288)*1).
-4*sqrt(11)/15
Simplify ((sqrt(204)*-2 + sqrt(204))/sqrt(12) - (1 + -2*sqrt(17))) + (sqrt(1700)*-1 - sqrt(1700)) + 2.
-19*sqrt(17) + 1
Simp | {
"pile_set_name": "DM Mathematics"
} |
- 44. Let a be q(-6). Which is bigger: a or 833?
833
Let h = -298 + 298. Are 24 and h equal?
False
Let o(p) = -p - 15. Let x be o(-15). Let v be -3 + (x - 3) + 3. Let d = v + 11/3. Which is smaller: 2/41 or d?
2/41
Let j be 717/2629*44/(-6). Let h(t) = 4*t. Let l be h(1). Suppose -5*c - 3*v = 30, 0 = c - l*v + 3 + 26. Which is greater: j or c?
j
Let q be (-1)/(-6) + 7 + 180/(-27). Which is smaller: q or -299?
-299
Let k = 0.3 - 0.2. Let u = 0 - k. Let x = 274/623 - 1/89. Is u not equal to x?
True
Suppose -r + 19 = -22. Let g be 175/30 + -6 + r/(-6). Is -5 less than or equal to g?
False
Let h(n) = -79*n + 475. Let y be h(11). Which is smaller: -391 or y?
y
Let a = -166 + 184. Which is bigger: 1 or a?
a
Let u be 34/(-51)*30/(-4). Suppose -2*m - 10 = u*f, 16 = -2*f - 4*m - 4. Which is smaller: f or -1?
-1
Let a(l) = -4*l - 7. Let u = -16 - -19. Suppose -x - 3*x + 22 = -3*p, -u*x + 3 = 0. Let o be a(p). Is 17 > o?
False
Let z = 74 + -72. Suppose 5*h = -z*l + 24, 3*l - 5*h + 10 = -2*l. Is 7/4 equal to l?
False
Let d = 0.052 - 89.052. Let b = 130 + d. Which is bigger: b or 0.1?
b
Let v be (102/119)/(3/469). Which is greater: 132 or v?
v
Suppose 2*c + 5*n + 19 = 0, 0 = -c + 2*n - 4 + 17. Let x be ((-12)/20)/((-1)/5). Suppose -c = -2*g + x. Are g and -1 unequal?
True
Let z = -2 + 7. Let h = 10 - z. Let l = h - -2. Are 1 and l unequal?
True
Let p(w) = -w**2 - 1. Suppose v + 5 = 0, 19 = -t - v - 3*v. Let a be p(t). Which is smaller: -1 or a?
a
Let n = -565/3 - -189. Which is smaller: n or 0?
0
Let y(w) = w**2 - 4*w + 1. Let m be y(5). Let a(i) = -i**3 + 5*i**2 - 5*i - 3. Let t be a(4). Let x be (t/14)/((-2)/4). Are m and x equal?
False
Suppose -17*q + 45 = -12*q. Let b = q + -17. Is b not equal to -11?
True
Let o = -17.15 - -17.25. Are o and 2/1689 non-equal?
True
Suppose 2*z - 46 = -4*a, 2*z - 3*a - 33 = -z. Suppose -35 + z = 4*k. Does 0 = k?
False
Let p = 13789/325010 - -2/4643. Let a = 4 + -3. Which is smaller: p or a?
p
Suppose 3*d = 5*i + 22, -9 = -2*i - 5*d + 7. Let q be (2 + -5)*1*i/6. Which is greater: q or -2/199?
q
Let o be (-1)/(-2*1/(-2)). Let r be (o - (-3)/3) + 2/(-169). Which is bigger: r or 1?
1
Let f = -2/935 - -32731/2805. Suppose 44*b - 1018 = -33*b - 94. Which is bigger: b or f?
b
Suppose 2*v - 99 + 12 = 5*k, 111 = 3*v - k. Let s be (12/v)/(1/(-3)). Let o be ((-12)/168)/(s/4). Do o and -1.8 have the same value?
False
Suppose -3*q - 5*r = -3, 3*q + 2*r = 4*r + 24. Let a(x) = -8*x - 17. Let t(k) = -3*k - 6. Let w(i) = -4*a(i) + 11*t(i). Let d be w(1). Is q equal to d?
False
Suppose 4*y - 4 = 4*v, v = 4 - 5. Let t = -5731/66045 + 2/1887. Are t and y unequal?
True
Let b = 612 + -618. Which is bigger: -93 or b?
b
Suppose -4*k + 20 = 0, -c - 19 = -2*c - k. Which is bigger: 18 or c?
18
Let i = -22 + 44. Let o be i/(-77) - 16/(-7). Which is greater: 12/13 or o?
o
Suppose 0 = -f - w + 11, -6*f - 2*w = -3*f - 31. Is f > 8?
True
Let u be ((-1)/30)/((-3)/(-6)). Let t = 6 - 5.9. Is t at most u?
False
Let l = -317 - -323. Let r(y) = y**2 + 4*y - 7. Let d be r(-6). Is d < l?
True
Let w be (-9)/(-42)*(-2 + -2). Suppose 2*a - 16 = -2*f - 2*f, -60 = -3*a + 3*f. Suppose 14 - a = l. Which is greater: l or w?
w
Let m = -0.93 + -26.07. Which is smaller: m or 0.1?
m
Let l = 22 + -23.8. Let i = l - -1.75. Let o = -11.95 + i. Is 0 < o?
False
Let w(x) = 14*x. Let l be w(1). Suppose -10*o + l*o = 0. Which is bigger: -1/6 or o?
o
Let a = 1 + 3. Suppose a*l - 25 = 11. Let h = 118 + -117. Is h != l?
True
Let n be 1 - (-1 - 1)*17. Suppose 3*h + 1 = -14. Let g(l) = -6*l + 6. Let x be g(h). Is x bigger than n?
True
Let c = 796/7 - 114. Do c and -0.1 have different values?
True
Let p be (-1 + 3)/(2/3). Let a(x) = -x**2 - 10*x - 11. Let d be a(-7). Let q(l) = l**2 - 11*l + 14. Let t be q(d). Which is smaller: p or t?
p
Let n be 1 + (-1)/(-4) + -1. Let a be 0 - (-3 + 2) - (0 + -44). Let r be a/25 - 4/5. Is n smaller than r?
True
Let p = 22843/35 + -3089/5. Let n = 1222/35 - p. Which is bigger: n or 0?
n
Let d(b) = 18*b + 39. Let a be d(6). Let s = -86 + a. Are s and 61 non-equal?
False
Let m(s) be the third derivative of 0*s**4 + 1/60*s**5 + 0*s + 0*s**3 + 6*s**2 + 0. Let h be m(-2). Is h equal to 2?
False
Let m = 0.21 - 0.02. Let w = -0.51 + m. Which is bigger: w or 1?
1
Suppose -n = -0 + 3. Let v = 31 - 29. Let h be 1/v*(-36)/6. Do n and h have the same value?
True
Suppose -5 = 2*o + 139. Suppose 0 = -2*x + 10, 3*u = -6*x + x - 188. Is o >= u?
False
Suppose -5*a + 67 - 12 = 0. Suppose a*r + 20 = 16*r. Suppose 0*l + 4*l + r = 0. Is -2 at most as big as l?
True
Let q be (2/12)/(1/4). Let z be 30/100*(-16)/12. Which is greater: q or z?
q
Suppose 11*i - 18 - 4 = 0. Suppose -2*k = -3*d + 3, 3*d - i = k + 1. Is -4/3 at most k?
True
Let z = -144 + 94. Let d = z - -50. Is -3 at least d?
False
Let w = -157 - -151. Let a be 28/(-33) + (-4)/w. Suppose r - 10 = -5*d, -3*r + 2 + 0 = d. Is a smaller than r?
True
Let g = -26.543 - -26.55. Suppose 3*y + 8 = -o - 3*o, -2*o - 4 = y. Which is smaller: y or g?
y
Let d be (-5)/(1/1) + (-2187)/(-435). Are d and -1 nonequal?
True
Let f(a) = -a**2 - 10*a + 4. Let j be f(-10). Is j at least -2?
True
Let y = 18.7 - 18. Let l = -6.884 + 9.884. Which is smaller: y or l?
y
Let t = 696 - 30629/44. Let s = 1943/11 - 177. Let j = t - s. Is j <= -2?
False
Suppose 68 - 133 = -5*t. Which is smaller: 10 or t?
10
Suppose -29*n - 9 = -26*n, 5*g + 3*n = -909. Is -180 at most as big as g?
True
Let o be (-40)/(-140)*(-1 - -8). Suppose -5*k - 93 = 4*l, k + 13 = -0*k + o*l. Is -17 bigger than k?
False
Let o = 385.7 + -385. Is o at least 15/4?
False
Suppose 0 = 2*m + 5*a + 760, 2*m = 3*m - 4*a + 354. Let s be ((-1)/m)/(2/(-8)) + 0. Is s > 1?
False
Let w = 0.4 - 0.5. Let x = w + 0.2. Suppose -11 = 290*f - 279*f. Is x greater than or equal to f?
True
Let x = 0.348 + -1.348. Is x equal to -259?
False
Suppose 0*g - 3094 = -14*g. Let k be 26/g - (-208)/(-34). Let x = -9 - -4. Is k at most x?
True
Let y = -1356 + 9508/7. Let u(v) = -v**3 + 5*v**2 - 2*v + 11. Let w be u(5). Is y < w?
False
Let u be (-1)/2*(-7)/56. Let y(a) = -9*a - 2. Let h be y(-1). Let i be 6/(-27) + h/(-9). Is i not equal to u?
True
Let y = 7.9 - 7.8. Let v = -0.1305 + -8.7795. Let w = v + 9. Which is smaller: y or w?
w
Let x = 163.9 + -164. Do -6/95 and x have the same value?
False
Suppose -2*j - 2*m + 158 = 0, 385 = 5*j + 20*m - 25*m. Which is smaller: 79 or j?
j
Suppose 0 = 2*i + 50*i - 572. Let k(t) = -t - 1. Let m be k(-12). Are i and m equal?
True
Let x(h) = -h**3 - 17*h**2 + 2*h + 13. Let f be x(-17). Let d be ((-3)/f)/((-1)/3). Is -1 smaller than d?
True
Let l = 4.67 + -4.97. Is 0.04 greater than l?
True
Let n = -17.8 + 16. Let o = -1.9 - n. Let p = o - 0.1. Is p bigger than 0.05?
False
Let l = -302.51 - -304. Is 1 >= l?
False
Let h = 859 + -1367. Let w = h - -916. Let c be (-88)/w + 2/6. Which is bigger: c or 1?
1
Suppose -4*k + 8 = -0. Suppose -3*b = -o - 7, k*o + 7 + 3 = 4*b. Is 2 bigger than b?
False
Suppose p - 4*a - 34 = 0, p = -38*a + 39*a + 19. Which is smaller: 13 or p?
13
Let p = 0.441 - 0.341. Let t be (-1)/(-4) - 276/16. Is t at least as big as p?
False
Suppose 10*h = 5*h - 5. Which is smaller: 20 or h?
h
Let t = 549 + -1648/3. Let o = -3.9 + 4.07. Which is greater: o or t?
o
Let d = 0.28 - -0.01. Let t = 0.09 - d. Let c be -6 + 2 - 38/(-10). Is c at least t?
True
Let q(d) = -d**3 + 21*d**2 - 17*d - 54. Let v be q(20). Which is greater: v or -3.5?
v
Suppose -3*v = -y + 13, -43 + 0 = 3*v + 5*y. Let u = 348/35 - 106/7. Is v at most as big as u?
True
Suppose 2*w + 10 = 3*w. Let d = w + -12. Let y be (-1 - -2) + d/3. Which is smaller: y or 1?
y
Let w(x) = -x + 4. Suppose 0 - 8 = -2*a. Let c be w(a). Let q = -24 + 790/33. Which is smaller: c or q?
q
Let g = 2.2 + -2. Let s = 11 + -18.1. Let c = 7 + s. Is g less than or equal to c?
False
Let a = -6/47 + 244/1175. Let r be (-9 - -9)/(2 - 1). Which is greater: r or a?
a
Suppose 37*u - 48*u = 0. Are u and -5/177 non-equal?
True
Let g = 63.62 + 3.98. Let t = 67 - g. Is t not equal to -1?
True
Let b = -148.3 - -144.5. Which is greater: b or 1?
1
Let j = 149 - 279. Let c = j + 129.94. Is c not equal to 1/5?
True
Let p(o) = 14 + 1 + 7*o - 5*o - 4*o. Let u be p(5). Is 7 equal to u?
False
Let t = 2514 + -2515. Let z(h) = h**3 + 7*h**2 + | {
"pile_set_name": "DM Mathematics"
} |
(-5)/(-3). Let a(p) = g*d(p) + n(p). Let z(b) = -14*b. What is a(z(j))?
28*j
Let j(b) = -40*b**2. Let h(k) = 3*k + k + 3*k - 6*k. What is h(j(c))?
-40*c**2
Let h(o) = -2*o. Let p(m) be the second derivative of 0*m**3 + 0*m**2 - 1/6*m**4 + 0 + m. Calculate h(p(c)).
4*c**2
Let t(l) = 5*l. Let k(j) = -2723*j**2. Determine t(k(f)).
-13615*f**2
Let g(h) = 20*h**2 - 82*h. Let i(b) = -6*b. Determine g(i(t)).
720*t**2 + 492*t
Let c be (3/2)/(5/(-10)). Let d(q) = -4*q + 3. Let b(l) = l - 1. Let k(f) = c*b(f) - d(f). Let i(h) = -h**2. Determine i(k(g)).
-g**2
Let c(h) = 297*h**2 - 88*h. Let r(s) = -17*s**2 + 5*s. Let y(j) = -5*c(j) - 88*r(j). Let f(v) = 3*v**2. Give y(f(m)).
99*m**4
Let l(h) = 3*h**2. Let r(d) be the first derivative of 3*d**3 + 2. Give r(l(j)).
81*j**4
Let i(c) = -42*c - 35. Let k(s) = s + 1. Let l(o) = i(o) + 35*k(o). Let r(h) = 3*h. Let z(t) = 2*l(t) + 5*r(t). Let u(m) = m**2. Give z(u(w)).
w**2
Let b(f) = -6*f - 8. Let i(c) = -5*c - 6. Let d(o) = 3*b(o) - 4*i(o). Let j(h) = 84*h**2. Calculate d(j(l)).
168*l**2
Let x(b) = b**2. Let h(o) be the first derivative of 0*o - 9 - 3/2*o**2. What is h(x(k))?
-3*k**2
Let p(t) = 2*t. Let z(i) = -i. Let l(m) be the first derivative of -3*m**2 - 2. Let d(s) = -l(s) + 5*z(s). Give p(d(b)).
2*b
Let y(h) = -707*h + 1. Let r(c) = 6*c**2. Determine y(r(k)).
-4242*k**2 + 1
Let w(q) = 37 - 15 - 22 - 15*q**2. Let g(b) = -b. Give g(w(o)).
15*o**2
Let r(q) be the third derivative of -3*q**5/10 - 80*q**2. Let o(p) = 2*p + 2 - 2. Determine r(o(z)).
-72*z**2
Let q(z) = -16*z. Let c(j) = 3*j. Let g(v) = -22*c(v) - 4*q(v). Let i(f) be the first derivative of 10*f**2 + 1. Calculate i(g(d)).
-40*d
Let c(w) be the third derivative of w**6/180 + 2*w**3/3 - 4*w**2. Let j(a) be the first derivative of c(a). Let v(y) = -4*y**2. Determine j(v(p)).
32*p**4
Let t(a) = -50*a**2 + 25*a**2 + 24*a**2. Let v(u) = u + 3*u - 2*u. Calculate t(v(q)).
-4*q**2
Let f(z) = -3*z. Let k(a) = -a**3 + 24*a**2 + 2. Let q be k(24). Let u(s) be the first derivative of -1/3*s**3 + q + 0*s**2 + 0*s. What is u(f(y))?
-9*y**2
Let o(m) = -5*m**2. Suppose 3*n - 4*b = b + 2, -3*b + 6 = 0. Let t(y) = -y**2 - 4*y**2 + 0*y**2 + n*y**2. What is o(t(r))?
-5*r**4
Suppose -3*u - 3*h + 24 = 0, -5*u + 5*h = 4 - 34. Let x(o) = -2*o - u*o + 2*o + 8*o. Let j(r) = -4*r**2. Determine j(x(w)).
-4*w**2
Let m(a) = a**2. Let i = 7 + -4. Suppose 9 = 4*l - i. Let w(s) = l*s + s - 4*s - s. Give m(w(j)).
j**2
Let m(j) be the third derivative of j**5/5 - 11*j**2. Let b(u) = 2*u. Calculate b(m(k)).
24*k**2
Let o(n) = n. Let h(z) = 2082*z**2. Calculate o(h(v)).
2082*v**2
Let u(z) = -18*z**2. Let d(q) = -230*q**2. Calculate d(u(i)).
-74520*i**4
Let u(z) = -z**2. Let w(c) = -5*c**2. Let k(a) = -22*u(a) + 4*w(a). Let h(m) = 11*m. Calculate h(k(y)).
22*y**2
Let q(v) = -3*v. Let u(z) = -z**2 - 3*z + 4. Let a be u(-4). Let n(p) be the second derivative of 0*p**2 + 1/3*p**3 + 2*p + a. Determine n(q(l)).
-6*l
Let f(h) = -2*h**2. Let p(t) = -23*t. Let a(i) = -126*i. Let c(y) = -5*a(y) + 27*p(y). What is f(c(u))?
-162*u**2
Let x(b) = -6*b. Let y = 7 - 5. Let f(s) = 0*s**2 + 0*s**y + 3*s**2 - 2*s**2. Give f(x(p)).
36*p**2
Let f(y) = 2*y**2. Let d(j) be the second derivative of j**4/6 + 12*j. Calculate f(d(u)).
8*u**4
Let b(j) = -j**2. Suppose 0 = 4*o + 1 - 9. Suppose 0 = q - g + o*g - 2, -5*q = g - 2. Let p(s) = q*s - 4*s + s. What is p(b(i))?
3*i**2
Let s(y) = -6*y**2 - 9*y**2 - 5*y**2 + 17*y**2. Let c(k) = 20*k - 25. Let d(h) = -5*h + 6. Let j(l) = -6*c(l) - 25*d(l). What is s(j(x))?
-75*x**2
Let r be 3*(2/(-6) + 1). Let t(z) = -4*z**2 - 2*z**2 + 3*z**r + 2*z**2. Let s(u) = u. Determine s(t(y)).
-y**2
Let r(g) = 391*g**2. Let l(m) = -m**2. What is l(r(o))?
-152881*o**4
Let a(t) = -t**2. Let v(l) = -338*l. What is v(a(j))?
338*j**2
Let p(w) = 4*w**2 - 4*w. Let v(r) = -9*r. Give p(v(m)).
324*m**2 + 36*m
Let g(z) = -z**2 + 2*z - 2. Let r(u) = 5*u**2 - 11*u + 11. Let p(s) = -11*g(s) - 2*r(s). Let t(h) = 0*h**2 - h**2 + 2*h**2. Give t(p(m)).
m**4
Let p(o) = 3*o. Let l(t) = 59*t**2. What is l(p(f))?
531*f**2
Suppose 3 = 2*g - 7, 4*g = 5*c - 10. Let w(y) = 3*y**2 + 2*y**2 - c*y**2. Let u(d) be the first derivative of d**3/3 - 11. Calculate w(u(b)).
-b**4
Let r(a) = 17*a**2. Let s(j) be the first derivative of j**2/2 + 45. Determine r(s(u)).
17*u**2
Let m(i) be the third derivative of i**4/24 + 14*i**2. Let g(q) = -22*q**2. Give m(g(w)).
-22*w**2
Let g(k) = -3*k**2. Let w = -29 + 29. Let i(v) be the second derivative of v + w*v**2 + 0 + 1/3*v**3. What is i(g(q))?
-6*q**2
Let m(z) = -7*z + 5*z - z. Let t(f) = -f. Determine m(t(p)).
3*p
Let l(h) = 3988*h. Let f(d) = d. Determine f(l(u)).
3988*u
Let n(k) = 4*k. Let z(r) = -86*r**2. Calculate n(z(b)).
-344*b**2
Let b(g) = 3*g. Let s(u) be the first derivative of u**4/3 + 3*u + 1. Let x(o) be the first derivative of s(o). What is x(b(r))?
36*r**2
Let s(b) be the third derivative of 0*b**4 + 1/15*b**5 + 0*b + 0 - 3*b**2 + 0*b**3. Let n(v) = 0*v + 3*v - v. Calculate n(s(c)).
8*c**2
Let w(m) = m. Let a(u) be the third derivative of -13*u**5/120 - 2*u**3/3 + 4*u**2. Let p(v) be the first derivative of a(v). Calculate p(w(j)).
-13*j
Let d(k) = 3*k**2. Let z(q) = -5*q**2 - 6. Determine z(d(l)).
-45*l**4 - 6
Let u = 7 - -3. Let m = u - 1. Let d(v) = m - 9 + 2*v**2. Let l(a) = -3*a. What is d(l(h))?
18*h**2
Let h(b) = -186*b. Let r(w) = 2*w**2. Give h(r(z)).
-372*z**2
Let d(m) = 4*m + 0*m - 5*m. Let v(k) = -2*k. Determine v(d(g)).
2*g
Let o(w) = -w**2. Let k(a) = a + 1. Let l = -2 - -1. Let b(d) = 1 + 7 - 3. Let r(x) = l*b(x) + 5*k(x). Calculate o(r(t)).
-25*t**2
Let i(h) = 5*h + 1. Let j(p) = 6*p**2. Give i(j(g)).
30*g**2 + 1
Let o(y) = -4*y**2 - 2*y**2 + 4*y**2. Let q(r) be the third derivative of 0*r**3 - 1/30*r**5 + 0*r + 0 + 0*r**4 + 4*r**2. Determine q(o(m)).
-8*m**4
Let y(h) = h**2. Let w(m) = -2*m - 3. Let u(v) = v + 1. Let z = 10 + -13. Let o(l) = z*u(l) - w(l). Calculate o(y(b)).
-b**2
Let c(u) = u + 1. Let s(n) = n + 4. Let b(g) = -4*c(g) + s(g). Let w(r) = -3*r. What is b(w(a))?
9*a
Let h(b) = 2*b. Suppose 0 = -3*r + r - 8. Let g be r/(-10) + 16/10. Let w(k) = 2*k**g + 0*k + 0*k. Give w(h(o)).
8*o**2
Let l(i) = -7*i**2 + 12*i**2 - 6*i**2. Let j(q) = -11*q**2. Determine j(l(u)).
-11*u**4
Let w(p) = -p. Let v(m) be the first derivative of -m**3/3 - 3*m + 2. Let s(x) be the first derivative of v(x). Give w(s(z)).
2*z
Let j = 0 + 0. Let f(k) = j*k - k + 0*k. Let u(s) = -6*s - 5. Let i(z) = -5*z - 4. Let l(m) = 5*i(m) - 4*u(m). What is f(l(t))?
t
Let u(y) be the first derivative of y**4/12 - 2*y - 3. Let h(a) be the first derivative of u(a). Let r(l) = -l. Calculate r(h(q)).
-q**2
Let p(j) = -j. Let i(l) = -240*l**2. Determine i(p(b)).
-240*b**2
Let j(c) = -4*c + 5*c - 3*c. Let o(i) = -69*i**2 + 32*i**2 + 35*i**2. Calculate o(j(w)).
-8*w**2
Let y(a) = 3*a - 2. Let f(g) = 9*g - 7. Let z be ((-280)/10)/(1 - 0). Let d be (2 + (-9)/4)*z. Let n(j) = d*y(j) - 2*f(j). Let s(t) = -t. Give s(n(u)).
-3*u
Let n(m) = m. Suppose -3*x + x + 20 = 0. Let o(t) = -10 + x + 4*t**2. What is n(o(j))?
4*j**2
Let f(d) = -23*d**2. Let l(u) = -8*u**2. Give f(l(g)).
-1472*g**4
Let h(a) = -1 + 4 - 5*a - 3. Let z(d) = d**2. Determine h(z(r)).
-5*r**2
Let x(u) = -3*u**2 - 4*u - 4. Let d(i) = -3 + 5*i + 14 + 8*i**2 + 6*i + 0*i. Let o(y) = 4*d(y) + 11*x(y). Let z(k) = 2*k. Give z(o(g)).
-2*g**2
Let p(g) be the second derivative of g**7/630 - g**4/12 - 2*g. Let m(r) be the third derivative of p(r). Let q(s) = 2*s. Give q(m(b)).
8*b**2
Let o(r) = 47*r. Let x(n) = -n + 131 - 131 + 2*n. Calculate o(x(b)).
47*b
Let o(c) = -5*c - 3. Let b(v) = -24*v - 14. Let p(g) = 3*b(g) - 14*o(g). Let u(y) be the third derivative of y**4/24 - y**2. What is u(p(t))?
-2*t
Let s(u) = -2*u. Let v be (9/(-3))/(6/(-4)). Let b(o) = -v + 2 - 8*o**2 + 5*o**2. Determine s(b(p)).
6*p**2
Let p(t) = 3*t - 2. Let q(o) = 12*o - 6. Let w(n) = 3*p(n) - q(n). Let f(h) = h - 2. Let u be f(4). Let d(m) = 2 + 3*m - u. What is d(w(a))?
-9*a
Let w(r) = -6*r. Let z(u) be the second derivative of 0*u**2 + 0 - 2*u + 0*u**3 - 1/6*u**4. Calculate w(z(s)).
12*s**2
Let z(a) = 3*a. Suppose 0 = -0*n + 3*n + o - 30, -2*n = 3*o - 27. Suppose -4*v - 8 = 3*s + n, -4*s = 3*v + 11. Let j(w) = -1 + s + 2*w. What is z(j(t))?
6*t | {
"pile_set_name": "DM Mathematics"
} |
. List the prime factors of d.
3, 31
Let j = 388 - -1250. List the prime factors of j.
2, 3, 7, 13
Suppose o - 5 = -1. Suppose -o*k - m + 492 = -3*m, -k = 2*m - 128. What are the prime factors of k?
2, 31
Suppose 28 = -8*g + 12*g. Let z(d) = -6 + d**2 - 6*d + 0*d + 2*d. List the prime factors of z(g).
3, 5
Suppose r = -j, -4*r - 3*j + 3 - 1 = 0. Suppose 71 = 2*i - t, i - 3*i - r*t + 68 = 0. Suppose 0*u = u - i. List the prime factors of u.
5, 7
What are the prime factors of (-63)/(-3)*(1 + -2)*-13?
3, 7, 13
Suppose l + 0*l - 3*l = 0. Suppose 0*r + 35 = -r. What are the prime factors of l - 2 - r*1?
3, 11
Let q = -19 - -36. Suppose 5*h - q = 2*m + 4, 2*m = -3*h + 19. What are the prime factors of (1 + m)/(5/105)?
3, 7
Let v(u) = u + 12. Let f be v(0). Suppose -3*m = -3*z + 54, 3*m - z + f = -36. What are the prime factors of 3 - (-3 + 5) - m?
2
Let l(w) = 2*w**2 + w + 1. Let s(n) = n**2. Let i(k) = k**3 - 4*k**2 + 2*k + 1. Let x be i(3). Let v be s(x). What are the prime factors of l(v)?
37
Let p(q) = 56*q**2 - 6*q + 49. List the prime factors of p(8).
3, 5, 239
Let r(z) = -19*z**3 - 22*z**2 + 10*z - 14. List the prime factors of r(-6).
2, 1619
Let b(f) = -f**2 + 1 + 2*f**2 + 3*f**2 - 7. Suppose 5*r = -2 - 13. What are the prime factors of b(r)?
2, 3, 5
Let s = -15 + 13. What are the prime factors of ((-75)/(-30))/(s/(-28))?
5, 7
Let a be (84/10)/(-7)*340/(-6). Suppose -b - 7*k = -2*k - a, -5*b + 224 = -4*k. What are the prime factors of b?
2, 3
Let h be (-141)/3 + 9/3. Let s(c) = 2*c**2 - 10*c - 1. Let u be s(10). Let p = u + h. List the prime factors of p.
5, 11
Suppose d - 8881 = -5*a, -4*a + 10637 = -2*d + 3535. What are the prime factors of a?
2, 3, 37
Let l be 3*4 - (-6 + (-21)/(-3)). Suppose l*y - 7*y = 12. List the prime factors of y.
3
Suppose u - 3*r - 653 = 0, -5*u - r - 643 = -6*u. What are the prime factors of u?
2, 11, 29
Let m be -3*7/(42/32). Let s = m - 14. Let i = 50 + s. What are the prime factors of i?
2, 5
Suppose 3*n = 5*n - 60. Suppose 0*y - 3*y = n. List the prime factors of (y/3)/((-8)/12).
5
Let o be 515/4 - (-5)/20. Let a = -90 + o. What are the prime factors of a?
3, 13
Let g(q) = -1141*q - 29. List the prime factors of g(-2).
3, 751
Let x = 8 - 21. Let q = 10 - x. What are the prime factors of q?
23
Let z be (-18)/10 - (-28)/35. List the prime factors of 1842/15 + -4 + z/(-5).
7, 17
Suppose -b + 138 = z + 2*z, 0 = -4*b + 5*z + 637. Suppose p - 3*k = -p + 104, -3*k = -3*p + b. List the prime factors of p.
7
Let y be 13/((-78)/756)*12/(-7). Suppose 9*b - y = 7*b. What are the prime factors of b?
2, 3
Suppose -3*l + 3*a = -840, -2*a - 385 = 4*l - 1499. Let j = 473 - l. List the prime factors of j.
2, 97
Suppose 0 = 5*o - 4*o - 896. What are the prime factors of o?
2, 7
Let i(c) = c**3 - 11*c**2 + 15*c - 10. Let u be i(11). Suppose -4*w - s + u = -2*s, w = 3*s + 36. What are the prime factors of w?
3, 13
Suppose -5*o + 0*f + 4*f = -2380, 2*o + f - 965 = 0. What are the prime factors of o?
2, 3, 5
Let w(k) = -2*k**2 + 19*k - 7. Let m be w(9). Suppose -73 = -4*c + s, -2*s + m = 4. What are the prime factors of c?
2, 3
Let j be (-45)/(-21) - (-2)/(-14). Let d(z) = 5*z**3 - 3*z**2 + 2. What are the prime factors of d(j)?
2, 3, 5
Suppose -r = 4*l - 2350, -4*r + 7*r = -l + 6995. What are the prime factors of r?
2, 5, 233
Suppose 12*i = 21268 + 12008. List the prime factors of i.
47, 59
Suppose -2017 + 5071 = 6*a. List the prime factors of a.
509
Let h be 32/10 - (-12)/(-60). Suppose -h*n = -4*n + 45. What are the prime factors of n?
3, 5
Let q(n) = 51*n + 31. List the prime factors of q(11).
2, 37
Suppose 30*g = 43*g - 47216. What are the prime factors of g?
2, 227
Suppose -3*d + 122 = -166. Let q = -31 + d. List the prime factors of q.
5, 13
Let r = 11 + -9. Suppose -3*z - n = -113, -r*z + 0*n + 57 = -3*n. Let l = -21 + z. List the prime factors of l.
3, 5
Suppose 4*b - 20 = 0, 5*z - 416 - 219 = -2*b. Suppose 4*q - 239 = 3*l, 175 = 5*q - 5*l - z. List the prime factors of 1 - (q/(-1) - -3).
3, 19
Let d(o) = 6*o - o + 63 - 2*o. List the prime factors of d(-12).
3
Let m = -1672 - -3646. List the prime factors of m.
2, 3, 7, 47
Let m(x) = x + 11. Let n be m(-6). Let y be (-498)/(-3) + 10/n. Let u = y + -115. List the prime factors of u.
53
Let m = 11 - 8. Suppose 0 = -3*x - x + g + 12, -4*x = -m*g - 4. Suppose 9 = -a + x*a. What are the prime factors of a?
3
Let y(l) = -3*l + 4*l + 5 + 7*l**2 - l - l**3. Let x be y(7). Suppose -x*s - 1 = -26. What are the prime factors of s?
5
Suppose 5*s = -10, 2*g - 2*s - 54 + 22 = 0. Suppose -56 - g = -2*c. List the prime factors of c.
5, 7
Suppose -3*g = -m - 4*m + 174, 0 = -3*m - 5*g + 84. Suppose 2*y + 78 = 2*r, m = -0*r + r + y. Suppose -3*d - d = -r. List the prime factors of d.
3
Let w(h) = h**2 - 15*h - 10. Let g be w(21). Suppose g = -d + 5*d. What are the prime factors of d?
29
Suppose 0 = 8*z - 1478 - 1074. What are the prime factors of z?
11, 29
Let z be 0 + -3 + 3 + 4 + -10. List the prime factors of -3*((z/3)/(-2) + -52).
3, 17
Let s = 880 - 418. List the prime factors of s.
2, 3, 7, 11
Suppose 3*o = 4084 - 3442. List the prime factors of o.
2, 107
Let d = 8 + -26. Let s = d - -14. List the prime factors of (-2079)/(-84) - 1/s.
5
Suppose -2*i + 3*h = 8*h, -2*i = 2*h - 6. List the prime factors of (i*-7)/(9/(-45)).
5, 7
Let b = 1620 + -159. List the prime factors of b.
3, 487
Let t be -5*2*(-57)/(-15). What are the prime factors of (t/(-2) - 0) + 1?
2, 5
Let l be ((-42)/(-12) - 4)*-246. Let h = 107 + l. What are the prime factors of h?
2, 5, 23
Let d be (0 + -2)/((-2)/4). Let t be (1*-4)/d + 4. Let x = 9 - t. What are the prime factors of x?
2, 3
Suppose 7*l - 3200 = 2*l. List the prime factors of l.
2, 5
Suppose -2*d = 3*d. Suppose d = 3*v + 5 - 17. Suppose 0 = n - v*g - 15, 0 = n + g - 4*g - 15. What are the prime factors of n?
3, 5
Suppose 22*l - 1904 = 14*l. List the prime factors of l.
2, 7, 17
Suppose -25 = -5*z, -2*a - 41 = -5*a + 2*z. Suppose a = 3*p - y + 6, p + 4*y - 21 = 0. Suppose -2 = -u + 3*f, u + p*f = 2 + 16. List the prime factors of u.
2
Let s(t) = -16*t - 4. Let n(q) = 3*q + 1. Let b(f) = -11*n(f) - 2*s(f). Let u be b(-4). What are the prime factors of (558/(-9))/(u*-2)?
31
Let f be 25/10 - 4/8. Suppose -212 = -f*n - 46. What are the prime factors of n?
83
What are the prime factors of (-3)/6 + 683/8*4?
11, 31
Let q(w) = -w**3 - 8*w + 2876. List the prime factors of q(0).
2, 719
Let j(t) = -30*t - 4 - 11 + 44*t. What are the prime factors of j(7)?
83
Let p(q) = -5*q**2 + q + 12. Let a be p(7). Let k = 388 + a. What are the prime factors of k?
2, 3
Suppose -11*v = -16*v + 3035. List the prime factors of v.
607
Let n(h) = -6*h - 2*h - 6 + 5*h**2 - h**2 - 4. List the prime factors of n(-4).
2, 43
Suppose 16*j = 20*j - 52. Let x(b) = 4 - 3*b - 4*b - j. What are the prime factors of x(-5)?
2, 13
Suppose -n = -4*i + 3116, 3*n - 8*n + 2314 = 3*i. What are the prime factors of i?
2, 389
Suppose 2230 + 2423 = 9*y. What are the prime factors of y?
11, 47
Let n = -142 - -1649. What are the prime factors of n?
11, 137
Let u(l) = -6*l**3 - l**2 - l - 106. Let x(w) = -5*w**3 - w**2 - w - 107. Let i(h) = 4*u(h) - 5*x(h). What are the prime factors of i(0)?
3, 37
List the prime factors of (-90)/60*(-1588)/6.
397
Suppose 3*a - 7*a = -5*z + 113, -2*a - 59 = -3*z. Let v = a + 108. What are the prime factors of v?
2, 43
Let q = 644 - -380. What are the prime factors of q?
2
Let h = 10 - 6. Let j = -5 + 6. Suppose -h*t + j = -19. What are the prime factors of t?
5
Let h be (0 + -1)*5*(-1)/5. What are the prime factors of 6 + -2 + 0 + h?
5
Let d = 1329 - -325. What are the prime factors of d?
2, 827
Let u(n) = 20*n**2 - 6*n + 3*n - 8 + 2. What are the prime factors of u(-2)?
2, 5
Let x(o) = 4*o**3 - 26*o**2 - 11*o - 49. List the prime factors of x(8).
13, 19
Let y = 635 + -118. List the prime factors of y.
11, 47
Let c = -23 - -38. Let a = c + -12. Suppose -a*u - 4 = -67. What are the prime factors of u?
3, 7
Let z(d) = -917*d + 469. List the prime factors of z(-3).
2, 5, 7, 23
Let g(v) = -v**2 + 10*v - 9. Let t be g(9). Let w be (t - 3)*32/24. What are the prime factors of (-696)/(-40) - w/(-10)?
17
Suppose 3*x = -5*w + 174, -2*w - 3*w = x - 48. What are the prime factors of x | {
"pile_set_name": "DM Mathematics"
} |
- 0*t + d. Solve -t*b = w + 4*w + 8, 2*w = -5*b + 12 for w.
-4
Let d = -34 + 353. Suppose 19*k + 15 = d. Solve 0 = 5*u + 5, -4*w - k = -u - 5 for w.
-3
Suppose -14*v + 75*v - 81 = 224. Solve -v*s = -k - 25, -2*s + 17*k = 13*k - 28 for s.
4
Let v(y) = -5*y - 139. Let q be v(8). Let x = 200 + q. Solve x = 2*k + 3*m + 8, 4*k + 2*m - 6 = 0 for k.
-1
Let q = -802 + 805. Solve 3*p + 2*c + 6 = 12, q*p + 4*c - 12 = 0 for p.
0
Let z(s) = 93*s + 292. Let d be z(-3). Solve -5*y + 1 = 4*q + d, 9 = -4*y - 3*q for y.
0
Let a(p) = -53*p - 362. Let f be a(-7). Suppose -f*w - 2*w = -33. Solve 11 = -2*k + 4*l + 1, 0 = w*k + l - 13 for k.
3
Let c(v) = 50*v**2 - 12*v - 14. Let m be c(-1). Solve 0 = 4*t + 5*g - 15, 52*g = -3*t + m*g + 11 for t.
5
Let z(r) = r**2 - 18*r - 4. Let u be z(19). Suppose 2*n - 5*o - u = 0, 15*o - 11*o + 29 = 5*n. Solve n = 4*i + 3*c, c - 3 - 4 = 4*i for i.
-1
Suppose 9*b = 45 + 117. Solve 0 = 2*l + 4*n + 8 - 2, l - 5*n = b for l.
3
Suppose -3*a = -3*j - 36, 2*j = -a + 460 - 475. Solve 0 = -u - 3*k, -a*u = 44*k - 42*k for u.
0
Let f(x) be the first derivative of 7*x**2/2 + 21*x - 23. Let g be f(3). Let w = g + -27. Solve 0 = -b - 3*b + 2*c - 12, -5*b - 4*c = w for b.
-3
Let y = 15896 + -15892. Solve 3*i - 4 = -4*j, 3*i - i = -3*j + y for i.
-4
Let i(b) = 2*b + 115. Let s be i(-55). Solve 25 = -5*k - s*x, 12*k - 1 = 8*k + 3*x for k.
-2
Let i = -3698 + 3698. Solve -w + 4 = w + j, i = -5*j + 20 for w.
0
Let q = -176 + 179. Suppose -2 = -4*d - 2*g, -1 = q*d - 2*g + 1. Solve 3*t + b + 10 = d, 5*t - 2*b + 14 = -b for t.
-3
Let n = -7 + 10. Let c = 45677 - 45673. Solve -2*q - n*u = q - 18, -4*u = -c for q.
5
Suppose 4*v = -4*z - 8, 152*z - 2 = -4*v + 153*z. Solve v = t + 5*f + 19, -3*t + 6*f = 7*f + 15 for t.
-4
Let f = -148 + 150. Suppose -4*n - 6 = 4*l - 22, 0 = -l - f*n + 4. Solve -4*v - v - r = 2, -15 = 3*v - l*r for v.
-1
Let l be (14 - (18 + -4))/9. Solve l = 5*w + 4*u + 14 + 1, -2*u = 3*w + 9 for w.
-3
Let l be 1/(-4) - 34/(-8). Let s be -55*4/(-44)*(-6)/(-3). Solve 2*x + a = s, -l*x - 5*a - 11 = -37 for x.
4
Suppose 17*j = 42 - 8. Solve -3*o = -4*d - 12, -j*d + 2*o = -3*d + 8 for d.
0
Let w be 182 + -180 + (0/2 - (-1 - 0)). Solve -w = -3*c + 2*i, -c + 3*i - 1 = -2 for c.
1
Let m = 14 + -22. Let k be (10/m - -2) + (-633)/12. Let h be (-122)/(-8) - (-13)/k. Solve 8*o = 3*o + 5*z + h, -6 = -2*o - 2*z for o.
3
Let w be ((-1050)/12 + -4)*-2. Suppose 179*j + 20 = w*j. Solve -2*q + 6 = 2*m - m, 13 = 2*m + j*q for m.
4
Let l = 10 - 2. Let p be (5/(-4))/(14/l - 2). Let w be (25/(-10))/p - 15/(-6). Solve -4*v + w*d = 8, 3*v + 0*d + 7 = 2*d for v.
-1
Let a = -201 + -42. Let h = a + 245. Solve 7*q - 3*u + 1 = h*q, 2*q = -u + 4 for q.
1
Let x(w) = 298*w - 18170. Let k be x(61). Solve k = 3*y + 5*p, -7*y - 2*p = -3*y + 8 for y.
-4
Let c = -39257 - -39260. Suppose 2*d - 1 = 3. Solve -3*v = -d*o - 1, -c = -4*o + 3*v - 2 for o.
1
Let b = 31374 - 31369. Solve 0 = 3*m - 2*d - 6, -10 = -b*m - 15*d + 18*d for m.
2
Let q be 1121/118 + (-5)/(-2). Solve q = 2*w - g, 32 = 3*w + w - 4*g for w.
4
Suppose 0 = 3*d + 177 - 54. Let r = 50 + d. Solve -5*s = 3*m - r, m - 1 = -4*s + 2 for m.
3
Let g(k) = -9*k - 71. Let b(n) = 5*n + 35. Let t(m) = 5*b(m) + 2*g(m). Let o be t(-4). Solve -5*q = o*h, -2*q + q + 5*h + 30 = 0 for q.
5
Suppose 3*x - 16 = 2. Let z be (-54)/x*(-16)/18. Solve -10*a = -7*a - 2*w - 6, -5*w + z = 4*a for a.
2
Let j be (-8)/(-36) - (-86)/18. Suppose -3*r + 6*r - j*g - 58 = 0, 5*g + 25 = 0. Suppose r*h - 9*h = 0. Solve h = 7*x - 2*x - 10, 3*x = -u + 7 for u.
1
Suppose -344*d + 7 = 5*f - 346*d, 0 = -d + 9. Solve f*n = u - 10 + 2, 0 = -2*n - 5*u + 13 for n.
-1
Suppose 3*x - 30 = -3*a, 2*a - 10 = x - 5. Suppose 2*o + 5*s - 24 = 0, 12 = -22*o + 23*o - 2*s. Solve -2*j - x*p = 3, -4*j - p = 3 + o for j.
-4
Suppose 0 = -4*r - 54*a + 50*a + 28, -2*r = 3*a - 9. Solve -3*o - n = -4*n - r, -o - 3*n - 16 = 0 for o.
-1
Let s = -226935 - -226938. Suppose -51 = -4*x - 3. Suppose -4*b - x = -7*b. Solve -13 = o + b*j - j, s*j + 16 = -4*o for o.
-1
Suppose 5*q + 76 = -2*f + 93, -q + f = -2. Solve -x = -2*y + 4*x + q, 5 = 5*x for y.
4
Let l be (2/(-5))/(-5 - 360/(-75)). Solve -2*p + 5*w - l = w, -4*p - 9 = -3*w for p.
-3
Suppose -i - 7*i = -3*i. Suppose 7*t - 16 - 19 = i. Solve -t*n = h - 3, 0 = 4*n + 4*h + 2 + 2 for n.
1
Suppose 264*c - 135 = 219*c. Solve 4*d + 9 = y, -c*d + 101 - 109 = -y for d.
-1
Let r(f) = f**2 + 24*f + 47. Let i be ((-44)/(-2))/(-39 + 38). Let m be r(i). Solve -m*y - 14 = -h + 6*h, 8 = -2*h for y.
2
Let u(s) = -s**3 - 32*s**2 - 30*s + 45. Let x be u(-31). Let b be x/4 - (49/(-14) - -4). Solve -b*w + 1 = t + w, -4*w + 6 = 2*t for t.
5
Let v(f) = f**2 - 15*f + 51. Let j be v(6). Let s be (-2 - -8)/(1/(j/(-2))). Solve s = -3*h + 2*z, 2*h - 4*z - z + 6 = 0 for h.
-3
Let g = 226 - 224. Suppose 0 = g*x + 2*r + 2*r + 4, -7 = 2*x + 5*r. Solve 3*t - x*t - 5 = -3*n, 22 = 4*t + 2*n for t.
4
Let p be -2 + 3 + -2 - (0 - 3). Let d be 18/((p + 0)/1). Solve -3*o + 2*w + 6 = 7*w, 0 = o + 4*w - d for o.
-3
Let b be 271*(40/(-5))/8. Let j = -269 - b. Solve -5*u + j + 2 = -f, 0 = -3*f + u + 2 for f.
1
Let w = 15334 - 15331. Solve 2*r + w*i - 7 = -3, -r = 5*i - 16 for r.
-4
Let o(p) = -486*p + 9 + p**3 + 972*p + 6*p**2 - 482*p. Let x be o(-5). Let z(b) = 3*b**2. Let c be z(-1). Solve -c*f - 2*i = x, -f + 0*i = -4*i - 14 for f.
-2
Let f = -18 - -44. Suppose 3*s - f - 46 = 0. Let l = -13 + s. Solve -2*j + j + l = 3*b, -b = -2*j - 6 for j.
-1
Suppose -994 = -20*v - 3774. Let i = -135 - v. Solve -i*j - 22 = -2*x, -x + 5*j + 2 + 24 = 0 for x.
1
Let o(v) = 2*v**2 - 14*v + 17. Let h be o(1). Solve 30 = -h*k + 4*r, -3*k + r = k + 13 for k.
-2
Let y(v) = v**3 + 20*v**2 - 678*v + 235. Let h be y(-38). Solve 0 = 2*s + 4*m, 5*m - h*m + 4 = 2*s for s.
4
Suppose 30 = 5*k + 66*a - 69*a, 0 = k - 3*a + 6. Suppose -2*u + 26 = 2*y, -k*u + 4 = 3*y - 13*u. Solve 14 - 2 = 3*p, s - y = -p for s.
4
Let d = -15084 + 15088. Solve r - d*r + 5*h - 16 = 0, -8*r + 14 = -2*h for r.
3
Let m be 3 - ((-5)/10 - -1)*-2. Let q be m/((-4)/5) - (-9 + 0). Solve -k - 2*k = -z - 18, -3*z - q = k for z.
-3
Let q be (-3)/(-54)*862 - (-5)/45. Suppose -3*z = 13*z - q. Suppose -4*b - 25 = -5*x - 6, -5 = -x + 2*b. Solve 5*f + 9 = x*k - 9, -3*k - 6 = z*f for k.
1
Let m(p) = 2*p - 1. Suppose 35*o + 12 = 41*o. Let s be m(o). Let v be ((4 - 1)/s)/1 - -1. Solve v*b + 1 = 3*q - 6*q, -13 = -4*b - q for b.
4
Let y = -35 + 35. Let g = -107 + 62. Let b = 50 + g. Solve y = 5*h - 4*o - 5, b*o - 2*o = -h - 18 for h.
-3
Let i be 3*(-1)/(4/(-8)). Suppose 0 = -6*y - 0 + i. Solve 0 = 3*j - 2*n - 10, -2*n - y + 3 = 3*j for j.
2
Let s be 1/((3*4/(-72))/1). Let v be (5 - (14 - -3))/((-1)/s). Let m be v/(-63)*(-21)/(-6). Solve 5*n - c = 2*c - 6, -3*c + 6 = m*n for n.
0
Let t = 9553 + -9551. Solve -2*s + 2 = 0, 3*s = t*f + 6*s - 5 for f.
1
Suppose 2*n - 4 = 0, p - 20 + 9 = -3*n. Suppose 0 = -p*v - 17 + 57. Suppose -v = -5*b - 3. Solve b = -s, -8 = -4*x + x + 5*s for x.
1
Suppose -38*h - 196 = -42*h. Suppose -69*n = -76*n + h. Solve 5*m + 7 + n = -3*g, -4*g = -3*m - 20 for g.
2
Let b be (9438/(-24))/(-11) + 2/8. Suppose -b*c + 10 = -31*c. Solve c*s - 18 = d + d, -3*d - 22 = -2*s for s.
5
Let u = -280 + 282. Suppose b = -m + 5 - 7, -u*m + 16 = -3*b. Solve 2 = g + 2*f - m, -10 = -g - 4*f for g.
-2
Let k be 56/(-21)*(0 + 2 - -4). Let l be -3 - (-8)/(-16)*k. Solve -2 = -l*v + 3*h - 0, 10 = 3*v - 4*h for v.
-2
Let f be (-684)/81 - 8/(-18). Let w be -2 - -8 - (f - -11). Solve -2 = 5*v - a + w*a, v + 5*a - 18 = 0 for v.
-2
Let p = -872 + 879. Suppose -4 - 9 = -4*r + l, -25 = -5*r + 3*l. Solve 0 = -n + r*n - 3*v + p, 5 = n + 3*v for n.
-1
Suppose 0 = 2*g - 4, -f + 751 = 4*f - 2*g. Let d = f - 115. Let h = d - 36. Solve h = 2*s - 4, -2*i - 2*s - 1 = -5 for i.
0
Suppose -10575 + 10607 = 16*x. Solve 7 = -i - 5*w - x, 3*w = -4*i - 2 for i.
1
Suppose 18 = -z + 4*z. Let p be 0 - -3 - (-2 - -2)/(-1 + 0). Solve -3 = 5*s - z*q + p*q, -3*s = q - 1 for s.
0
Suppose -53 = 3*d + 4*b - 59, 4*d = 2*b + 8. Solve -5*w + 5*h - 40 = 0, d*w + 5*h - 28 = -23 for w.
-5
Suppose -37*b + 36*b + 109 = -13*f, 4*b - 93 = 3*f. Solve -3*u + 5 = -6*u - 2*o, -b = -2*u + 4*o for u.
1
Suppose 0 = -309*a - 60 + 233 + 754. Solve a*y + 4*c + 1 = 2*y, -2*y + 3*c + 9 = 0 for y.
3 | {
"pile_set_name": "DM Mathematics"
} |
t the terms in -7*n**3 - 7*n**3 + 60*n**2 - 260*n**2 + 104*n**2 + 96*n**2.
-14*n**3
Collect the terms in -30*z**2 - 26*z**2 - 21*z**2 + 74*z**2.
-3*z**2
Collect the terms in 4703*c - 2612*c + 3836*c.
5927*c
Collect the terms in -40 + 267*t**2 + 8*t - 3*t - t + 42.
267*t**2 + 4*t + 2
Collect the terms in -18*s**3 - 16*s + 6*s**3 - 23*s**3 + 32*s - 15*s.
-35*s**3 + s
Collect the terms in 4*b**2 - 22*b**2 + 85*b**2.
67*b**2
Collect the terms in -37838298 + 24*q**2 + 37838298.
24*q**2
Collect the terms in 495*n + 123*n**2 - 62*n**2 - 59*n**2.
2*n**2 + 495*n
Collect the terms in -274 - 5*n**3 + 3*n**3 - 205 + 558 + n**3.
-n**3 + 79
Collect the terms in 19 + 406041*s**2 - 19 - 406042*s**2.
-s**2
Collect the terms in -48*a**2 - a + 35 + 34 - 69.
-48*a**2 - a
Collect the terms in 1172*c**3 - 86*c**3 - 60*c**3.
1026*c**3
Collect the terms in 8 - 5 - 3 + 13600*d.
13600*d
Collect the terms in 206*o**2 + 4*o - o - 170*o**2 - 3*o.
36*o**2
Collect the terms in 2*a - 32*a - 5 - 2.
-30*a - 7
Collect the terms in -227*r + 286*r - 3*r**2 + 175*r.
-3*r**2 + 234*r
Collect the terms in 504*f**2 - 163*f**2 - 168*f**2 - 33*f - 172*f**2.
f**2 - 33*f
Collect the terms in 460*d - 413*d + 304 - 304.
47*d
Collect the terms in -152369*k - 152371*k + 304737*k.
-3*k
Collect the terms in -956*h**2 + 956*h**2 + 3703*h**3.
3703*h**3
Collect the terms in 740 - 369 - 371 + 13*a**2.
13*a**2
Collect the terms in -9781*g - 9788*g + 29350*g - 9780*g.
g
Collect the terms in 20 + 7*z + 5 - 1 - z.
6*z + 24
Collect the terms in -v**2 - 9*v - v**2 + 10*v**2 + 9*v.
8*v**2
Collect the terms in -6*z + 9589*z**2 + 6*z.
9589*z**2
Collect the terms in -19118*j**2 + 9*j - 9*j + 3 - 1.
-19118*j**2 + 2
Collect the terms in -12 - 1349*g + 12 + 1242*g.
-107*g
Collect the terms in -5*k**2 - 8*k**2 + 5*k**2 - 4*k**2 - 4*k**2.
-16*k**2
Collect the terms in 1826029156 + 9*y - 1826029156.
9*y
Collect the terms in n + 394 - 130 - 124 - 3*n - 140.
-2*n
Collect the terms in 144851718*w**2 - 2 + 2 - 289703441*w**2 + 144851721*w**2.
-2*w**2
Collect the terms in -876 + 7*d**3 + 435 + 441 - d**2.
7*d**3 - d**2
Collect the terms in 6049*k**2 - 3040*k**2 - 3023*k**2.
-14*k**2
Collect the terms in 17*h**3 - 26*h + 4*h**3 + 26*h.
21*h**3
Collect the terms in -3 + 3 + 33386*n**2 + 33383*n**2 - 66773*n**2.
-4*n**2
Collect the terms in -3215*f + 13 - 13.
-3215*f
Collect the terms in 23*r - 16*r + 8*r.
15*r
Collect the terms in -11*y + 12*y - 140 + 22*y.
23*y - 140
Collect the terms in 6475*p - 3245*p + 101*p**2 - 3230*p.
101*p**2
Collect the terms in -534*m + 534*m - 6035*m**2 - 1672*m**2.
-7707*m**2
Collect the terms in 1 + 0 + 586*z**2 + 563*z**2 - 1118*z**2.
31*z**2 + 1
Collect the terms in 11*b - 107*b**2 - 2*b - 14*b.
-107*b**2 - 5*b
Collect the terms in -211*u - 112*u + 95*u - 139*u.
-367*u
Collect the terms in -72*r**3 + 220*r**3 - 48*r**3 - 56*r**3.
44*r**3
Collect the terms in 85 + 72 - 157 + 5*u.
5*u
Collect the terms in 546*q - 112*q - 427*q.
7*q
Collect the terms in 21*g + 21*g + 23*g - 61*g.
4*g
Collect the terms in 0 + 82*y**2 - 2 + 0 + 3*y**3 - 30*y**2.
3*y**3 + 52*y**2 - 2
Collect the terms in -3 - 1718*u + 3.
-1718*u
Collect the terms in -13*d - 6*d + 41848 - 41848.
-19*d
Collect the terms in -3119*j**3 + 1554*j**3 + 1572*j**3.
7*j**3
Collect the terms in 454917 - 36*m - 454917.
-36*m
Collect the terms in 4753*p**3 + 21*p - 4751*p**3 - 29*p.
2*p**3 - 8*p
Collect the terms in 45*s**2 + 52*s**2 - 2 + 53*s**2 - 2 + 55*s**2 - 206*s**2.
-s**2 - 4
Collect the terms in -3640*n**3 - 3642*n**3 + 7286*n**3.
4*n**3
Collect the terms in k + 24*k**3 + 4*k**3 - 4*k + 82*k**3.
110*k**3 - 3*k
Collect the terms in 27 - 52 - 44*k**2 + 25 + 263*k**2.
219*k**2
Collect the terms in -205*d**2 + 60*d**2 + 14*d**2 - 17 + 17.
-131*d**2
Collect the terms in 8880 - 2*l + 14*l - 4441 - 4439.
12*l
Collect the terms in -5 + 5 - 18263*h**2 + 2*h + 18237*h**2.
-26*h**2 + 2*h
Collect the terms in -975*q**3 - 969*q**3 - 961*q**3 + 2902*q**3.
-3*q**3
Collect the terms in -15232*x + 5071*x + 5067*x + 5079*x.
-15*x
Collect the terms in -4*t - t**3 + 7*t**3 + 5*t**3 + 3*t**2 + 5*t.
11*t**3 + 3*t**2 + t
Collect the terms in 455922 + 8*d**3 + 455926 - 911848.
8*d**3
Collect the terms in -18*x - 26*x**3 + 19*x - x.
-26*x**3
Collect the terms in -6714*n**2 + 3*n - 3*n + 6739*n**2.
25*n**2
Collect the terms in -325*n - 3 + 3 - 13*n**2 + 162*n + 167*n.
-13*n**2 + 4*n
Collect the terms in 210*j + 179*j + 257*j + 457*j.
1103*j
Collect the terms in -6*a + 2*a + 4*a - 2697*a**3.
-2697*a**3
Collect the terms in -181 + 100*s - 87 - 395.
100*s - 663
Collect the terms in 9*v + 6 + 1 - 4.
9*v + 3
Collect the terms in 843*c**2 - 9*c**2 + 431*c**2.
1265*c**2
Collect the terms in -4*w**2 + 4 + 8 - 19 + 7.
-4*w**2
Collect the terms in 72*h**3 - 196*h**3 - 326*h**3 - 123*h**3 - 2*h.
-573*h**3 - 2*h
Collect the terms in 96*j**3 - 16063*j - 93*j**3 + 16063*j.
3*j**3
Collect the terms in -757 + 12*x**2 + 9*x**2 + 757.
21*x**2
Collect the terms in 116*u**3 - 549*u**3 + 436*u**3.
3*u**3
Collect the terms in -19249 + 19249 - 14*d**3.
-14*d**3
Collect the terms in 108*m**2 + 9000 + 8991 + 8996 - 26987.
108*m**2
Collect the terms in 22*p**2 + 59*p + 53*p + 115*p - 227*p.
22*p**2
Collect the terms in z - 3*z - 81 - 4*z + 88.
-6*z + 7
Collect the terms in -r**2 + r + 45 + 51 + 87 + 30.
-r**2 + r + 213
Collect the terms in -81*k**2 + 10*k**3 - k**3 - 4*k**3.
5*k**3 - 81*k**2
Collect the terms in 928*b - 989*b - 389*b**2 + 388*b**2.
-b**2 - 61*b
Collect the terms in 7*h - h + 2*h**3 - 19*h**3 - 17*h**3 + 10*h**3.
-24*h**3 + 6*h
Collect the terms in -394*o**2 - 234*o**2 + 611*o**2.
-17*o**2
Collect the terms in -438 - 438 - 433 - 5*n + 1309.
-5*n
Collect the terms in -365*i - 34*i**2 + 365*i.
-34*i**2
Collect the terms in -1360*m - 562*m + m.
-1921*m
Collect the terms in 7*h - 10*h**2 + 38*h**2 + 5*h - 8*h.
28*h**2 + 4*h
Collect the terms in -55*j**3 + 174 - 174 + 51*j**3.
-4*j**3
Collect the terms in -3*j + 133*j + 218*j - 58*j.
290*j
Collect the terms in -847 + 5626 + 3095 + 2*y.
2*y + 7874
Collect the terms in 30*t + 0*t - 14 + 11*t.
41*t - 14
Collect the terms in -881*i - 257*i**2 - 43*i**2 + 67*i**2 + 881*i.
-233*i**2
Collect the terms in -66*u - 19886*u**2 + 66*u.
-19886*u**2
Collect the terms in -54*b + 13 + 16 - 29 - 218*b.
-272*b
Collect the terms in 0 + 3*r + 36*r + 0 + 8*r.
47*r
Collect the terms in 2*d**2 - 4300*d - 2*d**2 + 80*d**3 + 2152*d + 2148*d.
80*d**3
Collect the terms in -589*p + 589*p - 30*p**2.
-30*p**2
Collect the terms in -35*h**2 + 35*h**2 - 41452*h**3 + 41454*h**3.
2*h**3
Collect the terms in -19*i**3 - 188*i**3 - 160*i**3.
-367*i**3
Collect the terms in -16 - 2*x - 11 - 63.
-2*x - 90
Collect the terms in -159*n**3 - 10*n + 16*n + 26*n.
-159*n**3 + 32*n
Collect the terms in 136*p + 91*p - 325*p - 3*p**3 + 98*p.
-3*p**3
Collect the terms in 0 + 35*n**3 - 7*n**3 + 63*n**3 - 9*n**3 + 2.
82*n**3 + 2
Collect the terms in 82 + 94 - 196 - j.
-j - 20
Collect the terms in 49*w**3 - 70*w**3 - 24*w**3 + 58*w**3.
13*w**3
Collect the terms in -191 - 187 - 4*z + 579 - 200.
-4*z + 1
Collect the terms in -4*o + 76*o**2 + 4*o + 83*o**2 - 145*o**2.
14*o**2
Collect the terms in 68277*j**2 - 68277*j**2 + 32*j**3 + 22688*j - 22688*j.
32*j**3
Collect the terms in 2 + 845*d - 402*d + 0 - 2 - 457*d.
-14*d
Collect the terms in 222*s + 98 - 76*s - 69*s - 75*s.
2*s + 98
Collect the terms in -4*t - 3*t + 2*t + 3*t + 7*t**3.
7*t**3 - 2*t
Collect the terms in 12921*m**2 - 16*m**3 - 12921*m**2 + 7*m**3.
-9*m**3
Collect the terms in 0*m**3 + 467805*m - 467805*m + m**3.
m**3
Collect the terms in -95 + 47 + 118*o**2 + 48.
118*o**2
Collect the terms in 24*d**2 + 36*d**2 - 58*d**2 + 0*d + 0*d.
2*d**2
Collect the terms in -519 + 172 + 170 + 53*p**3 + 177.
53*p**3
Collect the terms in -19864*b + 39535*b - 19774*b.
-103*b
Collect the terms in 76*u**3 + 113*u**3 - 37*u**3.
152*u**3
Collect the terms in -18*r - 203017 + 203017.
-18*r
Collect the terms in 412*k**3 - 141*k**3 - 133*k**3 - 144*k**3.
-6*k**3
Collect the terms in 24*k**2 - 4*k**2 - 10*k**2 - 12*k**2 - 18*k**2.
-20*k**2
Collect the terms in p + 13*p - 295*p**3 - 14*p.
-295*p**3
Collect the terms in 84*o - 46*o + 119*o + 61*o.
218*o
Collect the terms in -13*f**2 - 11*f**2 + 11 - 11 + 73*f**2.
49*f**2
Collect the terms | {
"pile_set_name": "DM Mathematics"
} |
ime factors of l?
2, 3, 491
Let a(o) = 2*o**3 + o**2 - o - 7. Let q = -15 + 11. Let z be 1/((16/(-12))/q). What are the prime factors of a(z)?
53
Let f(d) = -3*d + 2987. List the prime factors of f(0).
29, 103
Suppose -29 - 11 = -2*g. Suppose 0*o = o + g. List the prime factors of (o/6)/((-4)/6).
5
Suppose -4*k + 32 - 12 = 5*m, m = 0. Suppose w + 2*p - 16 = 3*p, -k*w + 87 = 2*p. List the prime factors of w.
17
Suppose 8 = -3*k + 3*o + 2, -2*o = -3*k - 1. What are the prime factors of (-77)/(-2)*(k - 4/4)?
7, 11
Suppose 3*q + i = 653, 4*q = q - 2*i + 649. Suppose 11*k = 1233 + q. List the prime factors of k.
2, 3, 11
Let d = -15 - -20. Suppose -585 = -d*j + 5*a, 0*j = -j - 5*a + 141. List the prime factors of j.
11
Suppose 18*i - 1073 - 7297 = 0. What are the prime factors of i?
3, 5, 31
Suppose 0 = 29*u - 23*u - 780. List the prime factors of u.
2, 5, 13
Let b be (-1)/(-2) - (-1251)/6. Let m(l) = l**3 + 18*l**2 - 12*l - 12. Let h be m(-19). Let j = h + b. List the prime factors of j.
2
Let i(o) = -32*o + 180. What are the prime factors of i(-30)?
2, 3, 5, 19
Suppose 4*g = 2*g + r + 10474, 0 = -g - 3*r + 5244. List the prime factors of g.
2, 3, 97
Let n be 20/70 - (-58)/(-7). Let o(h) = -h**3 - 7*h**2 + 7. List the prime factors of o(n).
71
Let k be (-3)/(2*2/(-100)). Let s be 4*((-152)/(-171) - 1/(-9)). Suppose s*f - 35 = -g + f, 0 = g - 5*f - k. List the prime factors of g.
2, 5
Let t = -1968 + 3522. What are the prime factors of t?
2, 3, 7, 37
Let i(f) = f**3 - 10*f**2 + 10*f - 2. Suppose 3*b - t - 24 = -0, -4*b = -t - 33. Let d be i(b). Suppose -d*q = -11*q + 184. List the prime factors of q.
2, 23
Suppose -2*l + 11 = 3. Suppose 3*u - c + 15 = 3*c, -l*c + 7 = 5*u. What are the prime factors of (u - 2) + 1 + 13?
11
Suppose -2*m = -7*y + 3*y + 2594, -y - 4*m = -635. List the prime factors of y.
647
Let m = -235 + 341. Suppose m - 298 = -3*a. List the prime factors of a.
2
Suppose 5*p + 0 = 15. Suppose -w - 2*f + 22 = 0, -5*w - p*f + 81 = -15. List the prime factors of w.
2, 3
Suppose 879*a - 886*a + 5208 = 0. List the prime factors of a.
2, 3, 31
Let r(u) = -16*u**3 - u**2 - 9*u + 3. What are the prime factors of r(-4)?
3, 349
Let g be (3 + -1 - 0)*16. Let t be (-7*(-6 - -12))/(-1) + 2. Let d = t - g. List the prime factors of d.
2, 3
Let z be 0*((1 - 6) + 4). Suppose -4*u - 64 - 4 = -4*w, -4*u = -2*w + 44. Suppose 2*l - 58 + w = z. What are the prime factors of l?
23
Let u(f) be the first derivative of -5*f**2 - 11*f + 7. List the prime factors of u(-3).
19
Let v(k) = 6*k + 5. Let s be v(6). Suppose 0 = 3*z + g + 5, 0 = 2*z + g - 1 + 4. Let y = z + s. What are the prime factors of y?
3, 13
Suppose 16*t - 1245 = 13*t. List the prime factors of t.
5, 83
Let m = 6 + -3. Suppose -m*p + 4 = 10. What are the prime factors of 0 + p + 34 + -2?
2, 3, 5
Let r = -212 - -462. Suppose -9*h + 14*h = r. What are the prime factors of h?
2, 5
Let t = -16 + 20. Suppose x = -6 + t. Let j(b) = -4*b**3 - b**2 + 2*b + 3. List the prime factors of j(x).
3
Let u = 2047 + -974. List the prime factors of u.
29, 37
Suppose 22 - 2 = 10*v. Suppose -3*p - v*p + 535 = 0. What are the prime factors of p?
107
Let q(b) = 2*b - 10. Let d = -16 - -23. Let w be q(d). Suppose w*s = 9*s - 250. What are the prime factors of s?
2, 5
Suppose -7 + 20 = o. Suppose 0 = 3*l + 5*x - 421, 2*l - o*x + 8*x = 264. List the prime factors of l.
137
Let x = 1235 - -431. List the prime factors of x.
2, 7, 17
Let i(n) = -n**2 - 23*n + 4. Let v be i(-20). Let y = -55 + v. What are the prime factors of y?
3
Let b(q) = q**3 + 14*q**2 - 7*q - 11. Let g be b(-11). Suppose o = -2*k + 85, 5*o - 2*k = 32 + g. What are the prime factors of o?
7, 13
Suppose -12 = -3*g, 164 = 3*b + 5*g - 3. What are the prime factors of b?
7
Let d = -18 - -20. Suppose 10*k - 296 = d*k. What are the prime factors of k?
37
Let z(w) = 6*w + 8 - 2 - 21 - 12. List the prime factors of z(11).
3, 13
Suppose 3*m + 18 = 5*m. Let j(i) = i**2 - 3*i - 4. What are the prime factors of j(m)?
2, 5
Suppose -3*j = -3*q - 6 + 18, 5*q = -3*j + 20. Let k = 165 - q. Let s = -114 + k. List the prime factors of s.
47
Let j = -29 - -22. Let d(r) = -27*r - 24. List the prime factors of d(j).
3, 5, 11
Suppose 8*s = 2*s + 54. List the prime factors of -1 + (24/(-7))/(s/(-63)).
23
Let f(o) = 22*o + 541. What are the prime factors of f(0)?
541
Suppose 4*j = 4*o + 140, 8*o - 3*j = 3*o - 185. Let s(x) = -2*x + 6. Let i be s(3). List the prime factors of (i + o)*(-6)/12.
2, 5
Let o = -11 + 14. Suppose o*x - 15 = 0, -54 = -k + 2*x - x. What are the prime factors of k?
59
Let i(n) = 14*n + 13. Let l be (-81)/(-15) + 10/(-25). List the prime factors of i(l).
83
Suppose -4*k = -3*n + 649, -2*k = -0*n + 2*n - 428. What are the prime factors of n?
5, 43
Let v be -3 + (-1 - -3)*8. Suppose -5 = -2*d - v. List the prime factors of ((d + -172)/(-2))/2.
2, 11
Let c(t) = 23*t**2 - 7*t + 37. List the prime factors of c(11).
13, 211
Let q = -662 - -1725. What are the prime factors of q?
1063
Let w(j) be the second derivative of 0 - 1/6*j**3 - 1/6*j**4 - 6*j + 1/20*j**5 + 1/2*j**2. What are the prime factors of w(4)?
29
Let g be (2 - -1) + -3 + 6. Let h(a) = 6*a + 9 - g*a + a. What are the prime factors of h(7)?
2
Suppose 2*x - 18 = -f - 3*x, 0 = 5*f - 4*x - 61. Suppose 0 = -3*r + 5*j - 10 + 71, r = -2*j + f. List the prime factors of r.
17
Suppose b = -b + q - 20, 4*q = -5*b - 76. Let p be (2 - b/(-8))*22. Let n = 9 + p. List the prime factors of n.
2, 5
Suppose -2*q - w = -1504, 0*q = q + 3*w - 757. What are the prime factors of q?
751
List the prime factors of ((-10252)/(-33))/(2/3).
2, 233
Suppose -3*q + 27 + 9 = v, 0 = 2*q + 4*v - 14. Let j = -13 + q. Let z(k) = -k**3 - k + 27. List the prime factors of z(j).
3
Let q(k) = -k**3 + 12*k**2 - 6*k + 6. Let j be q(9). Suppose 5*b = 5*x - j, 6*x - x - 177 = -4*b. What are the prime factors of x?
37
Let c(n) = n**2 - 3*n - 2 + 7*n**2 - 2*n**2 - 2*n**2. List the prime factors of c(6).
2, 31
Suppose 14*i - 132 = 10*i. Let r be i - 2*(-3)/(-6). Let x = r - -15. List the prime factors of x.
47
Suppose -q - 5*i + 4247 = 1638, -5*q = -i - 13071. List the prime factors of q.
2, 1307
Let m(y) = 2*y**2 + 36*y + 682. List the prime factors of m(-41).
2, 3, 107
Let m(y) = 4*y - 14. Let r be m(9). Suppose -428 = -26*i + r*i. What are the prime factors of i?
107
Suppose 2*b - 5*t = -37, 0 = 2*t - t - 5. Let v be (-16)/b*(-18)/(-12). Suppose 0 = 2*h + 4*d - 70, 4*d - 2*d - 122 = -v*h. List the prime factors of h.
29
Suppose -2*a - 24 = -110. List the prime factors of a.
43
Let d(p) = -p**2 + 3*p + 13. Let s be d(5). Suppose 4*k = -s*h + 109, 0*h - 4*k - 46 = -2*h. List the prime factors of h.
31
What are the prime factors of (4 + 0)/(-5 - (-1274)/254)?
2, 127
Suppose -3 - 7 = -5*q. Let i be q/((-2)/6*-2). Suppose i*n = 9, u - 5*n + 3 = -u. List the prime factors of u.
2, 3
Suppose 2*f = -469 + 3309. List the prime factors of f.
2, 5, 71
List the prime factors of (-1988)/(-77) + (-10)/(-55).
2, 13
Suppose -2*h - 8 = h - 2*d, 0 = 5*h + d - 4. Let b = -28 + 83. Suppose h*m - n = m - b, m - 4*n - 75 = 0. What are the prime factors of m?
59
Suppose 0 = -3*z + 5*s - 2*s + 1008, -z + 332 = -5*s. What are the prime factors of z?
337
Suppose -4*i = -3*w + i - 135, w - 4*i + 52 = 0. Let n = -7 - w. List the prime factors of n.
3, 11
Suppose 0*f - 50 = 2*f. Let o be (-3 + 5 + -3)*f. Let k = -14 + o. What are the prime factors of k?
11
Suppose -3*a + 4*g + 13 = 5, 5*a - 4*g = 8. Suppose 8 = 2*n - a. Suppose -5*c = -25, 0 = -n*t + t - 3*c + 120. What are the prime factors of t?
5, 7
Let t = 354 + -216. Suppose 4*f = -0*i + i + 254, 5*i - t = -2*f. What are the prime factors of f?
2
Let i be 1/(-3) + 48/9. Suppose -5*f + 11 = -3*o - 0*o, i*o + 5*f - 35 = 0. Suppose 2*s = -5*h + 25 + 6, -5*s + o*h = 0. What are the prime factors of s?
3
Suppose 0 = y - 2*s - 12, 4*y - 6*y = -s - 21. Let h(r) = 2*r - 12. List the prime factors of h(y).
2
Suppose -3*q - 5*u + 149 = -2*q, -q + 5*u = -149. List the prime factors of q.
149
Let g = 7 - 15. Let v be g*4/(-8)*43. What are the prime factors of v/24 + 2/(-12)?
7
Let v(o) = -o**2 + 18*o + 41. Let w be v(17). What are the prime factors of (w + 3)/(3/6)?
2, 61
List the prime factors of 777*5/(5 - 0) - -1.
2, | {
"pile_set_name": "DM Mathematics"
} |
10*g**3 + 14*g**2 + 16*g. Let u(o) = 4*o**3 + 5*o**2 + 6*o. Let p(i) = -3*t(i) + 8*u(i). Let f(r) = 5*r**3 - 4*r**2. Determine 3*f(c) - 5*p(c).
5*c**3 - 2*c**2
Let u(d) = 6*d - 2. Let j(t) = 10*t. Let i(o) = -j(o) + u(o). Let p(g) = 5*g - 3. Let q(w) = -10*w + 7. Let c(f) = 13*p(f) + 6*q(f). Give -5*c(v) - 6*i(v).
-v - 3
Let g(i) = i**3 + 10*i**2 + 5*i - 2. Let l(n) be the first derivative of -n**4/4 - 11*n**3/3 - 2*n**2 + 2*n - 6746. Determine -5*g(k) - 6*l(k).
k**3 + 16*k**2 - k - 2
Let z(p) = 865*p**2 + 4. Let x(u) = 21615*u**2 + 99. Give -4*x(d) + 99*z(d).
-825*d**2
Let w(f) = -3*f**3 - 4*f**2 - f + 14. Let x(q) = q**3 - q**2 - q + 2. Give w(v) - 3*x(v).
-6*v**3 - v**2 + 2*v + 8
Suppose 16 = 3*t - 7*t. Let u(h) = -h**2 + 18*h - 82. Let f be u(10). Let n(q) = 3*q - 2. Let s(p) = -p + 1. Calculate f*n(z) + t*s(z).
-2*z
Let a(y) = 4*y**2. Let g be (25 - 4048/138) + (4/(-6) - 0). Let m(v) be the second derivative of -v**4/4 + 5*v. Determine g*m(k) - 4*a(k).
-k**2
Let g(a) = a**3 + 5*a - 2. Let c be ((-2)/(-3))/(((-16)/(-20))/((-156)/(-65))). Let n(b) = -b**3 - b**2 - b + 1. Give c*n(y) + g(y).
-y**3 - 2*y**2 + 3*y
Let p(a) = -9*a**2 - 8*a + 97. Let r(h) = 25*h**2 + 22*h - 290. Determine -11*p(l) - 4*r(l).
-l**2 + 93
Let z(o) be the third derivative of -5*o**5/12 - o**3/2 - 747*o**2. Let c(p) = -1. Give 3*c(u) - z(u).
25*u**2
Let n(h) = -15*h - 9. Let l(i) be the first derivative of i**2/2 + i + 3764. Give -6*l(r) - n(r).
9*r + 3
Let j(l) = -5*l**2 - 2*l + 20. Let y(v) = 4*v**2 + v - 21. Let o be (-5 + (-171)/(-27))/((-10 - -7)/(-9)). Calculate o*y(i) + 3*j(i).
i**2 - 2*i - 24
Let x(r) = -4*r - 5. Let t(i) be the second derivative of -5*i**3/6 - 3*i**2 - 3*i. Let c = 9027 + -9021. What is c*x(j) - 5*t(j)?
j
Let i(y) = 3*y**3 + 2*y**2 - 2*y - 282. Let w(v) = -9*v**3 - 7*v**2 + 7*v + 845. Calculate -7*i(u) - 2*w(u).
-3*u**3 + 284
Let x(z) = 1507*z**3 - 26*z**2 + 13*z - 26. Let v(a) = -377*a**3 + 6*a**2 - 3*a + 6. Calculate 17*v(g) + 4*x(g).
-381*g**3 - 2*g**2 + g - 2
Let f(h) = 17*h**3 + h**2 - h + 4. Let p(i) = 94*i**3 + 5*i**2 - 6*i - 85. What is 6*f(u) - p(u)?
8*u**3 + u**2 + 109
Let k(b) = -b**3 - 4*b**2 + 142*b. Let i(s) = -s**3 + 2*s**2 - s + 1. Give 2*i(a) + k(a).
-3*a**3 + 140*a + 2
Let o(u) = 9*u - 1. Let g(r) = 37*r - 2. Let k(z) = -g(z) + 4*o(z). Let f(d) = -3*d - 6. Calculate -3*f(c) + 8*k(c).
c + 2
Let h(i) = -i**3 - 6*i - 28. Let v(g) = 8*g + 33. Determine 4*h(w) + 3*v(w).
-4*w**3 - 13
Let m(o) be the third derivative of -o**5/60 + o**4/3 + 2*o**3/3 + 664*o**2 - 2*o + 7. Let h(q) = 3*q**2 - 32*q - 17. What is -2*h(u) - 9*m(u)?
3*u**2 - 8*u - 2
Let b be (-15)/(-25)*(-7 - (-364)/42). Let q(v) = -v + 1. Let k(p) = -64*p - 8. Give b*k(f) + 6*q(f).
-70*f - 2
Let s(w) = 2*w**3 - 4*w + 1. Let y(m) be the first derivative of -m - 1/2*m**2 - 1/4*m**4 + 0*m**3 + 109. What is -s(h) + y(h)?
-3*h**3 + 3*h - 2
Let g(z) = -z**3 - 5*z**2 - 6*z + 4. Let i be g(-6). Suppose 4*b = -i + 20. Let w(s) = 2*s**2 - 2. Let y(l) = 372 - 362 - 6*l**2 - 4*l**2. Give b*w(c) - 3*y(c).
2*c**2 - 2
Let w(n) = 47*n**3 + 3*n**2 - 3*n - 9. Let o(q) = 2*q**3 + q**2 - q + 2. Determine -3*o(g) + w(g).
41*g**3 - 15
Let f(k) = 7*k**3 + 9*k**2 + 8*k. Let z(n) = -4*n**3 - 5*n**2 - 4*n. Let a(i) = 7*i**2 - 121*i - 123. Let m be a(-1). Determine m*z(c) + 3*f(c).
c**3 + 2*c**2 + 4*c
Let k(r) = -r**3 + 7*r**2 - 246*r + 30. Let i(s) = s**3 - 2*s**2 - s - 10. Determine 3*i(q) + k(q).
2*q**3 + q**2 - 249*q
Let c(o) = 1. Let v(z) = -z - 1. Let k(l) = -21 + l + 46 - 16. Let w be k(-7). Suppose 3*y + w*d + 6 = 0, 3*d - 2 = y - 0*y. Calculate y*v(p) + c(p).
2*p + 3
Let h(f) = -7*f - 1. Let r(o) = -3*o - 1. Let n = 215 + -43. Suppose -4*s + 212 = n. Give s*r(w) - 4*h(w).
-2*w - 6
Let y(r) = -134134*r + 728. Let s(n) = 552*n - 3. Give 728*s(l) + 3*y(l).
-546*l
Let p(v) = -438*v**2 + v + 62. Let b(a) = -874*a**2 + 2*a + 151. Determine 2*b(i) - 5*p(i).
442*i**2 - i - 8
Let z(j) = 5*j**2 - j - 1. Let b(x) = -106*x**3 - 80*x**2 + 16*x + 14. Give -b(a) - 16*z(a).
106*a**3 + 2
Let d(y) = 7*y + 9*y - 3*y - 25*y**2. Let b(u) be the second derivative of 1/2*u**3 - 1/2*u**4 + 3*u + 0*u**2 - 23. Give -9*b(v) + 2*d(v).
4*v**2 - v
Let p(z) = 5278*z**2 + 609*z. Let b(v) = 6*v**2 + v. What is 1218*b(a) - 2*p(a)?
-3248*a**2
Let k(r) = 11*r**2 + 135*r - 2552. Let j(z) = 3*z**2 + 30*z - 638. Calculate -9*j(c) + 2*k(c).
-5*c**2 + 638
Let l(i) = 2*i - 13. Let g(t) = t - 8. Let q(r) = 5*g(r) - 3*l(r). Let m(a) = 2*a - 8. Let c(h) = -h + 2. Let k(n) = -9*c(n) - 2*m(n). Calculate -k(f) + 2*q(f).
-7*f
Let v(m) = m**2 + m + 2. Let k(r) = 9*r**2 + 4*r + 16. What is -k(w) + 6*v(w)?
-3*w**2 + 2*w - 4
Let q(w) = -37*w + 1037. Let y(m) = 12*m - 347. What is -3*q(n) - 10*y(n)?
-9*n + 359
Let b(d) = -151*d**3 - 19*d**2 - 12*d - 6. Let k(a) = 3*a**2 + 2*a + 1. Determine b(z) + 6*k(z).
-151*z**3 - z**2
Let l(m) be the third derivative of 5*m**4/24 + 3*m**3/2 - m**2. Let u(g) = -6*g - 10. Let f = -174023 - -174028. Calculate f*l(c) + 4*u(c).
c + 5
Let s = 1928 - 1925. Let w(b) = b**3 + 5*b**2 + 3*b - 3. Let a(d) = 3*d**3 + 16*d**2 + 8*d - 8. What is s*a(k) - 8*w(k)?
k**3 + 8*k**2
Let a(c) = 10*c**2 - 1731*c + 16. Let n(t) = 5*t**2 - 887*t + 7. Give 4*a(o) - 9*n(o).
-5*o**2 + 1059*o + 1
Let j(c) = 2. Suppose -2*f + 4 = 2*o, 5*o + 0 = 4*f + 1. Let l(u) = -665*u + 2. Let r(t) = -2328*t + 7. Let z(n) = 7*l(n) - 2*r(n). Calculate o*j(m) - 3*z(m).
-3*m + 2
Let y(m) = -18*m. Let t(l) = -12*l. Let g(b) = 3*b + 35. Let n be g(-7). Let s(u) = u**3 - 13*u**2 - 12*u - 35. Let j be s(n). What is j*t(a) + 5*y(a)?
-6*a
Let p = 2 - -3. Let z(u) = 2*u + 6. Let t = -1545 - -1546. Let b(l) = -1. What is p*b(y) + t*z(y)?
2*y + 1
Let l(c) = -134937*c**3 - 203*c**2 - 203*c + 203. Let b(k) = 1336*k**3 + 2*k**2 + 2*k - 2. What is -609*b(i) - 6*l(i)?
-4002*i**3
Let g(i) = 3*i**3 + 5*i**2 - 10*i + 3. Let p(t) = 3*t**3 + 4*t**2 - 13*t + 4. Determine 5*g(q) - 4*p(q).
3*q**3 + 9*q**2 + 2*q - 1
Suppose 9 - 1 = 4*w. Let d(m) = -w*m + m**2 - 4*m**2 + 4*m - 4*m. Let q(v) = 42*v - 208. Let l be q(5). Let g(t) = -t**2 - t. Give l*g(f) - d(f).
f**2
Let n(l) = -10*l**2 + l - 5. Suppose 26 = 1898*h - 1900*h - 5*d, h - 4*d - 26 = 0. Let o(f) = -5*f**2 + f - 2. What is h*n(v) - 5*o(v)?
5*v**2 - 3*v
Let r(m) = -16*m**3 + 8*m**2 + 8*m + 8. Let b(u) be the first derivative of 5/2*u**2 + 5*u + 5/3*u**3 - 11/4*u**4 - 18. Determine 8*b(c) - 5*r(c).
-8*c**3
Let a(c) be the second derivative of -2*c**4/3 + 53*c**3/6 + 7*c**2 - 140*c + 5. Let p(x) = -3*x**2 + 18*x + 5. Give -4*a(m) + 11*p(m).
-m**2 - 14*m - 1
Let z(r) = 2*r**3 + 96*r**2 + 99*r + 236. Let b be z(-47). Let l(j) = -1. Let w(k) = -4*k + 10. Give b*w(n) + 2*l(n).
-4*n + 8
Let f(s) = 24*s**2 - 24*s - 19. Let u(v) = 49*v**2 - 52*v - 38. Give -13*f(y) + 6*u(y).
-18*y**2 + 19
Let h(b) = 4*b**2 - 3*b**2 + 54*b**3 - 1211 + 1206 - 51*b**3. Let w(x) = -x**3 + 1. What is -h(y) - 5*w(y)?
2*y**3 - y**2
Let l(z) = -18*z**2 + 25*z + 16. Let a(o) = -o**2 - 5*o - 2. What is -10*a(f) - 2*l(f)?
46*f**2 - 12
Let b(v) = -v**3 - v**2 - v - 1. Let g(n) = -4*n**2 - 48 - 53 - 17*n**3 - 6*n + 128 - 32. Determine -6*b(z) + g(z).
-11*z**3 + 2*z**2 + 1
Let j(d) = d**3 - 21*d**2. Suppose 33*y + f = 37*y + 20, 4*y - 4*f + 20 = 0. Let h(q) = -2*q**3 + 41*q**2. What is y*j(b) - 3*h(b)?
b**3 - 18*b**2
Let i(s) = 3*s - 1. Let k(j) be the first derivative of j**2 - 2*j + 1073. Determine 3*i(c) - 2*k(c).
5*c + 1
Let f(m) = -7*m - 4. Let y(w) = 8*w + 5. Let l(k) = k**3 + 8*k**2 - 4*k - 30. Let t be l(-8). Suppose t*j - 50 = -8*j. Calculate j*f(x) + 4*y(x).
-3*x
Let v(m) = 6*m**3 + 3*m**2 + 5*m - 1. Suppose 67 = -32*j - 77 - 16. Let w(t) = t**3 + t**2 + t. What is j*w(l) + v(l)?
l**3 - 2*l**2 - 1
Let h(s) = -112*s**2 + 108*s - 83. Let k(y) = 45*y**2 - 45*y + 33. Calculate 5*h(b) + 12*k(b).
-20*b**2 - 19
Let f(a) = 0*a**2 - 5*a**2 + 7 - 2*a**2 + 7*a. Let j(u) = 15*u**2 - 15*u - 15. Suppose -587 + 173 = -69*z. What is z*j(c) + 13*f(c)?
-c**2 + c + 1
Suppose p = -p - 2. Suppose -3*d - 47 = -3*v + 43, v = -5*d + 12. Let l(m) = -51 - m + v + 25. Let c(w) = w**2 + w - 1. What is p*l(r) - c(r)?
-r**2
Let a(t) = 40*t - 267. Let z(u) = -71*u + 535. What is -7*a(g) - 4*z(g)?
4*g - 271
Let a(i) = i**2 - 2*i - 4. Let d(j) = 3*j + 38. Let o(l) = 2*l + | {
"pile_set_name": "DM Mathematics"
} |
What is the third derivative of 2*n**4 - 2*n**s + 5*n**2 - 3*n**4 + 0*n**4 wrt n?
-72*n
Let x(y) be the second derivative of 0 + 1/3*y**3 - y + 3*y**2 - 1/4*y**4. Let l(r) be the first derivative of x(r). What is the first derivative of l(n) wrt n?
-6
Let y(a) be the second derivative of -25*a**7/6 - a**4/4 - 10*a**2 + 2*a - 18. Find the third derivative of y(l) wrt l.
-10500*l**2
Let c be ((-13)/26)/((-2)/12). What is the derivative of -62*i**4 + i**3 - i**c + 65*i**4 - 10 wrt i?
12*i**3
What is the second derivative of 18029 - 6*j + 8*j - 18427 + 565*j**2 wrt j?
1130
Find the second derivative of 24*y + 57*y**4 + 11*y + 46*y**4 + 62*y wrt y.
1236*y**2
Let o(v) = -73*v**3 - 99*v**2 - 2*v - 4. Let t(m) = 292*m**3 + 397*m**2 + 9*m + 18. Let y(q) = 9*o(q) + 2*t(q). Find the third derivative of y(z) wrt z.
-438
Find the first derivative of 0*m**4 + 82 - 5*m**4 + 102 + 8 - 27 - 3*m**2 wrt m.
-20*m**3 - 6*m
Let i be (1 + -2)/((-2)/(-10)). Let v(c) = -7*c**3 - 1. Let s(t) = -14*t**3 - 7 + 13 - 9. Let x(p) = i*v(p) + 3*s(p). What is the derivative of x(h) wrt h?
-21*h**2
Let n be (-1026)/(-378) - 1/((-14)/4). Differentiate 19 - 16*z**3 - 43 - 5*z**n wrt z.
-63*z**2
Suppose 15 - 1 = 2*l. Find the second derivative of -l*s**2 + 0*s**2 - 4*s**2 - s - 10*s wrt s.
-22
Let w = 142 - 142. Let j(c) be the second derivative of 0*c**3 + 0 + 0*c**5 + c + w*c**2 - 1/6*c**4 + 1/30*c**6. What is the third derivative of j(h) wrt h?
24*h
Let j(u) be the second derivative of -39*u**5/4 - 163*u**3/6 + 139*u. What is the second derivative of j(n) wrt n?
-1170*n
Let j(b) = -5*b**2 - 14. Let z(s) = 1. Let o = 38 + -65. Let m = -29 - o. Let i(d) = m*z(d) - j(d). Differentiate i(h) wrt h.
10*h
Let c(o) = -o**2 + 12*o + 5. Let f be c(12). Suppose -f*h = t - 0*t - 22, -5*t - 4*h = -47. Differentiate 0*x**2 + t*x**2 - 6 - 3*x**2 wrt x.
8*x
Find the second derivative of 39*s**2 + 33*s + 280*s**2 - 26*s**2 + 397*s wrt s.
586
Find the third derivative of 7772*r**3 - 7772*r**3 + 207*r**6 - 83*r**2 wrt r.
24840*r**3
Let r(l) be the second derivative of -l**9/84 - 4*l**5/15 - l**2/2 - 15*l. Let z(n) be the first derivative of r(n). Find the third derivative of z(a) wrt a.
-720*a**3
Let c(z) be the third derivative of 209*z**4/24 + 211*z**3/6 + 226*z**2. Find the first derivative of c(r) wrt r.
209
Let y(g) be the third derivative of 0*g + 2/15*g**5 + 0 + 19/24*g**4 + 0*g**3 + 25*g**2. What is the second derivative of y(c) wrt c?
16
What is the second derivative of 2*u**5 + 14*u**2 + 3*u**2 + 12*u - 3 + 108*u + 13*u**2 wrt u?
40*u**3 + 60
Let r(m) be the third derivative of -5*m**6/24 + m**4/24 - m**3/3 - 63*m**2. What is the second derivative of r(a) wrt a?
-150*a
Let a(o) be the first derivative of -1/2*o**4 + 0*o**3 + 0*o + 9/2*o**2 - 6 + 3*o**5. Find the second derivative of a(d) wrt d.
180*d**2 - 12*d
Let g(h) = 3*h**2 - 9*h + 2. Let r be g(4). What is the second derivative of 13*m - r*m**5 - 16*m**5 + 28*m**5 wrt m?
-40*m**3
Suppose -5*y + 164 = 3*c, 5*y + 6*c - c - 160 = 0. What is the third derivative of y*v**4 - 18*v**2 - 6*v**2 - 57*v**3 + 57*v**3 wrt v?
816*v
Find the second derivative of 1 + 4986*h + 7*h**5 + 0*h**4 + 15*h**4 - 2*h**5 - 4947*h wrt h.
100*h**3 + 180*h**2
Suppose -6 - 9 = -5*d. What is the third derivative of u**2 + 3*u**3 + 4*u**d + 3*u**3 - 4*u**3 wrt u?
36
Let d(y) = 3*y - 18. Let l be d(8). What is the third derivative of -16*g**l + 4*g**5 - 4*g**5 - 9*g**6 - 7*g**2 wrt g?
-3000*g**3
Suppose -5*x = 4 - 19, 4*x - 404 = -4*f. Differentiate 98 - 5*a + f - 189 with respect to a.
-5
Let b(r) be the second derivative of 25*r**8/56 + r**7/14 - 3*r**4/2 + 4*r**3/3 + 11*r + 4. What is the third derivative of b(h) wrt h?
3000*h**3 + 180*h**2
Let h(c) = -4*c - 42. Let u be h(-12). Find the third derivative of -u*r**2 + r**2 - 2*r**2 + 0*r**2 + 18*r**3 wrt r.
108
Let s(z) be the third derivative of 107*z**6/24 - 11*z**5/15 + z**3/2 - 2*z**2 + 118. What is the third derivative of s(m) wrt m?
3210
Let b(c) = -126*c**6 + 3*c**4 - 82*c**2 + 6*c - 3. Let x(j) = j**6 - j**4 + j**2 - 2*j + 1. Let l(g) = b(g) + 3*x(g). Find the third derivative of l(k) wrt k.
-14760*k**3
Suppose 21*g = -3*g. Let m(z) be the third derivative of 0*z + 1/120*z**6 + 0 - 4*z**2 + 0*z**5 - 1/8*z**4 + g*z**3. Find the second derivative of m(a) wrt a.
6*a
Let s(r) be the first derivative of 0*r - 17/2*r**2 - 3 + 0*r**3 + 17/4*r**4. What is the second derivative of s(b) wrt b?
102*b
Suppose 9*w - 4*w = 310. Find the second derivative of 9*u + w*u**3 - 31*u**3 - 31*u**3 - 4*u**4 wrt u.
-48*u**2
Suppose 49 = 5*c - 66. Let k(h) = h**3 + 5*h**2 + 4*h + 4. Let x be k(-4). Find the third derivative of i**4 + x*i**4 - 13*i**2 + c*i**2 wrt i.
120*i
Let q(v) be the first derivative of 3*v**2/2 - 9*v + 5. Let k be q(4). Differentiate 5*z - k*z**2 - 5*z - 3 + 4*z**2 wrt z.
2*z
Let w(u) be the third derivative of 0*u + 0*u**5 + 14/3*u**3 + 0 - 3*u**2 + 1/15*u**6 + 0*u**4. What is the first derivative of w(g) wrt g?
24*g**2
Let p(j) = -4*j**2 + 10. Let o(u) be the third derivative of u**5/60 - 17*u**2. Let f(v) = -o(v) - p(v). Differentiate f(z) with respect to z.
6*z
Let s(m) = -9*m**3 + 11*m**2 + 114*m + 5. Let b(w) = 2*w**3 - 1. Let j(a) = -5*b(a) - s(a). Find the second derivative of j(t) wrt t.
-6*t - 22
Find the third derivative of -6*w**2 + 295*w**4 - 2*w**6 - 161*w**4 + 339*w + 8*w**2 wrt w.
-240*w**3 + 3216*w
Let w(k) be the third derivative of -k**5/12 - 5*k**4/24 + 37*k**3/2 - 34*k**2. Differentiate w(i) with respect to i.
-10*i - 5
Let t be (-40 - -35 - (-5)/2)/(-5). Let n(f) be the first derivative of -2 + 0*f**3 + 1/2*f**4 + t*f**2 + 0*f. Find the second derivative of n(j) wrt j.
12*j
Let w(h) be the first derivative of -41*h**2/2 + 46*h - 1. Differentiate w(t) wrt t.
-41
Suppose y + 22 = 3*y. Let p = y + -7. What is the derivative of 10 + 0*x**4 - 12 - x**p wrt x?
-4*x**3
Let x(h) be the third derivative of 103*h**7/105 - 149*h**3/6 + 12*h**2 + h. What is the first derivative of x(n) wrt n?
824*n**3
What is the second derivative of 22*x - 11*x - 126*x**2 + 197*x wrt x?
-252
Let q = -9 - -11. Let z(i) = -2 + 3 + q*i - 2 - 2. Let n(w) = -2*w + 2. Let x(c) = 6*n(c) + 5*z(c). Find the first derivative of x(t) wrt t.
-2
Let m(x) be the second derivative of -8*x**4/3 - 60*x**2 - 147*x. Find the first derivative of m(y) wrt y.
-64*y
Let a(o) = o**2 + o + 5. Let y(c) = 11*c**2 + 4*c - 483. Let w(p) = a(p) + y(p). What is the derivative of w(r) wrt r?
24*r + 5
Let o(x) be the second derivative of 3/10*x**5 + 4*x + 1/2*x**4 + 0 + 0*x**2 + 0*x**3. What is the third derivative of o(v) wrt v?
36
Differentiate 2*j**3 - 7*j + 186*j**4 - 69 - 2*j**3 - 373*j**4 + 189*j**4 wrt j.
8*j**3 - 7
Let m(h) be the first derivative of -5*h**7/7 + 25*h**4/12 + 26*h - 3. Let b(s) be the first derivative of m(s). What is the third derivative of b(w) wrt w?
-1800*w**2
Let d = -4 - -7. Suppose -5*n - q = -32, -3*n = -3*q - q - 10. Find the third derivative of 18*s**2 - 24*s**2 - n*s**6 + s**3 - s**d wrt s.
-720*s**3
Let m(g) = 75*g**4 + 4*g**2 + 9*g + 1. Let k(x) = 151*x**4 + 7*x**2 + 17*x + 1. Let c(o) = -4*k(o) + 7*m(o). Find the second derivative of c(v) wrt v.
-948*v**2
Let t(n) be the second derivative of -31*n**5/5 - 35*n**4/6 - n - 11. Find the third derivative of t(i) wrt i.
-744
Let b be (10/8)/((-2)/(-8)). Suppose 0 = -28*z + 21*z + 35. Find the second derivative of -h**5 + 3*h**b - 4*h - 3*h**z wrt h.
-20*h**3
Let n(w) be the third derivative of -w**7/14 + 31*w**5/60 + 25*w**2 - 2*w. Find the third derivative of n(j) wrt j.
-360*j
Suppose -6*v - 2 + 14 = 0. Let u(h) be the first derivative of 3*h + 0*h**4 - 3 + 0*h**v + 0*h**3 + 1/5*h**5. What is the first derivative of u(o) wrt o?
4*o**3
Let t(g) = g**4 + 14*g**3 + 9*g**2 + 392*g - 9. Let p(l) = 4*l**3 + 2*l**2 + 98*l - 2. Let z(w) = 9*p(w) - 2*t(w). What is the second derivative of z(a) wrt a?
-24*a**2 + 48*a
Let g(p) = 2*p + 1. Let f(n) = 2*n - 57. Let t(w) = -f(w) + 2*g(w). Find the first derivative of t(r) wrt r.
2
What is the derivative of 12*i**3 - 23 + 19*i**2 + 24*i**2 - 4 - 13*i**3 + 5 wrt i?
-3*i**2 + 86*i
Let g be 2/5 - (-6)/(-15). Find the second derivative of 9*a + 4*a**4 - a**4 + g*a**4 wrt a.
36*a**2
Differentiate -385 + 304 + 333 + 65*z with re | {
"pile_set_name": "DM Mathematics"
} |
Let p(o) = 8*o + 8. What is -p(n) + 6*s(n)?
-2*n - 8
Let f(p) = -p**3 + p**2 - 5. Suppose -r - 5*z = r - 6, 0 = -5*z + 10. Let o be r/17 - (-870)/170. Let l(y) = -y**3 - 2. What is o*l(x) - 2*f(x)?
-3*x**3 - 2*x**2
Let n(w) = 2*w - 43. Let i(a) = -1. What is 4*i(j) + n(j)?
2*j - 47
Let o be (-1)/2*(-5 - -1). Let v(i) be the first derivative of i**2/2 - i - 92. Let l(m) = m + 1. Give o*v(t) + l(t).
3*t - 1
Let s(t) = t + 1. Let l(g) = 3*g + 9. Let r(h) = 9. Let u(z) = 5*l(z) - 4*r(z). Let i be (-10)/4*4/(-10). Determine i*u(d) - 9*s(d).
6*d
Let z(m) = -1. Let v(a) be the second derivative of a**6/360 - 7*a**5/120 + a**4/2 + 18*a. Let o(s) be the third derivative of v(s). Give -o(l) + 4*z(l).
-2*l + 3
Suppose 3*b - 84 = 2*b. Let l(z) = 6*z - b - 25*z - 114*z. Let u(q) = 11*q + 7. Let o(h) = 4*l(h) + 49*u(h). Let c(i) = 8*i + 8. Determine 5*c(x) - 6*o(x).
-2*x - 2
Let t(d) = -1 + 32*d**3 - 4*d - 1 - 31*d**3. Let w(j) be the first derivative of 3*j**4/4 - 11*j**2/2 - 6*j - 2. Determine -11*t(s) + 4*w(s).
s**3 - 2
Let a(d) = -3*d**3 + 4*d. Let t be 2/(-1) - 2/1. Let s(m) be the first derivative of -2*m**4 + 11*m**2/2 - 81. Calculate t*s(q) + 11*a(q).
-q**3
Let y(i) = -10*i**2 + 20*i**2 - 7*i**2 - 2*i**2 + 1. Let x(o) = 22*o**2 + 11. What is -x(q) + 11*y(q)?
-11*q**2
Let c(o) be the third derivative of 0*o + 2*o**2 + 1/3*o**3 + 1/8*o**4 + 0. Let a(i) be the first derivative of i**2/2 + i - 4. Give -2*a(r) + c(r).
r
Let b(i) = 4*i - 1. Let v(m) = -11*m - 6. Give -4*b(p) - v(p).
-5*p + 10
Let q(i) = -5*i + 1. Let w(z) = -14*z + 3. Let h = 11 - 17. Let p be -3*1/h*-8. Let v = 4 - -7. Give p*w(a) + v*q(a).
a - 1
Let m(u) = u**2 - u. Let h(d) = d**3 - 6*d**2 + 6*d - 5. Suppose -5*o - 5 = 5*v - 3*o, -4 = 4*v - 5*o. Give v*h(j) - 6*m(j).
-j**3 + 5
Let p(h) = -310*h + 4. Let o(c) = 620*c - 9. Determine 6*o(l) + 13*p(l).
-310*l - 2
Let q(j) = 2*j**3 + 48*j**2 - j + 3. Let f(c) = -3*c**3 + c**2 - 1. Determine -3*f(o) - q(o).
7*o**3 - 51*o**2 + o
Let p(d) = -5*d - 267. Let c(n) = -n - 53. What is 11*c(j) - 2*p(j)?
-j - 49
Let c(m) = 79*m**3 - 5*m + 5. Let g(a) = 79*a**3 - 4*a + 4. What is -4*c(d) + 5*g(d)?
79*d**3
Suppose -2*u + 3*d + 17 = 0, 2 = u - 2*d - 8. Let v(j) = 11*j + 3. Let a(k) = -5*k - 2. Give u*v(x) + 9*a(x).
-x - 6
Let p(d) = d. Let f(u) = 3*u. Suppose -4 = 4*t - 0, 7 = w - 5*t. Suppose 3*a - 13 + 4 = 5*g, 0 = -5*g + w*a - 6. Suppose g = h - 2*h - 2. Give h*f(s) + 5*p(s).
-s
Let k(g) = -16 + 56*g - 62*g + 16. Let d(i) = i. Determine 20*d(p) + 4*k(p).
-4*p
Let z(c) = 1. Let d(n) = n**2. Let m be 14*(-6)/60 - (-242)/55. What is m*z(r) - d(r)?
-r**2 + 3
Let l(s) = -7*s**2 + 6. Let m(f) = 20*f**2 - 17. Let k be (-7)/(-3) + 25/(-3). Give k*m(u) - 17*l(u).
-u**2
Let l(h) = -h**2 + 1. Let m = -140 - -164. Let z(t) = 8*t**2 - 12. Determine m*l(x) + 2*z(x).
-8*x**2
Let h(y) = -y - 2. Let w(s) = 5*s + 9. Let f(n) = 9*h(n) + 2*w(n). Let d(l) = -8*l. Suppose 2040*j - 3 = 2037*j. Give j*d(r) + 4*f(r).
-4*r
Let u(q) = 8*q + 3. Suppose -92*t + 100*t + 48 = 0. Let d(f) = 8*f + 4. What is t*d(w) + 8*u(w)?
16*w
Let k(a) = -21*a**3 - 8*a**2 + 2*a - 2. Let o(v) = 43*v**3 + 17*v**2 - 5*v + 5. Determine -5*k(s) - 2*o(s).
19*s**3 + 6*s**2
Let d(p) = 6*p - 10. Suppose -22*q + 0 = 22. Let g(f) be the second derivative of -f**3/6 + f**2/2 + f. Give q*d(c) - 8*g(c).
2*c + 2
Let f(w) = -4*w. Let a = -60 - -103. Let g(r) = -19*r - 11*r + a*r - 14*r. Suppose 0 = -2*b + 5*b - 3. What is b*f(j) - 6*g(j)?
2*j
Let t(d) = 2*d**3 + 0*d**2 - d**3 + 5 + 5*d**2. Let q(z) = 1488 - 4*z**2 - 752 - 740. Give 5*q(v) + 4*t(v).
4*v**3
Let m(p) = 49*p**2 - 2. Let r(w) = 50*w**2 - 3. Calculate 3*m(k) - 2*r(k).
47*k**2
Let m(c) = c**2 - c + 1. Let n(h) = -14*h - 76. Let f be n(-5). Let j(k) = 5*k**2 - 9*k + 5. Determine f*m(x) + j(x).
-x**2 - 3*x - 1
Let t(k) = 23*k + 10. Let o(v) = -195*v - 81. Give 6*o(b) + 51*t(b).
3*b + 24
Suppose -10*h - 243 = -213. Let q(b) = 3*b. Let p(n) = 6*n + 1. Determine h*p(g) + 5*q(g).
-3*g - 3
Let v(a) = 2*a + 15. Let i(s) = -3*s - 12. What is -4*i(u) - 3*v(u)?
6*u + 3
Let l(a) = -1. Suppose 0 = 4*h + 4*p + 13 - 33, -5*p = 2*h - 10. Let j(o) = 2*o - 9. Give h*l(c) - j(c).
-2*c + 4
Let m(g) = 5. Let q(f) = 7*f. Let i(s) = 10*s - 1. Let u(r) = 5*i(r) - 7*q(r). Give -2*m(k) - 3*u(k).
-3*k + 5
Let a(n) = -4*n**2 - n - 1. Let w(x) = 2*x**3 - 8*x**2 + x - 15. Determine -2*a(b) + w(b).
2*b**3 + 3*b - 13
Let i(m) = -2*m + 6. Let k(v) = 2*v - 5. Let r(f) = 2*i(f) + 3*k(f). Suppose -6 = o - 8. Let h(u) = 3 - o - 43*u - 3 + 45*u. What is 5*h(z) - 4*r(z)?
2*z + 2
Let r(g) = 7*g + 199. Let d(o) = -12*o - 198. Determine -2*d(s) - 3*r(s).
3*s - 201
Let s(w) = 2*w**3 + 4*w**2 - 3*w + 3. Let n(v) = 11*v - 129. Let d be n(12). Let a(c) = -6*c**3 - 12*c**2 + 8*c - 8. Determine d*a(u) + 8*s(u).
-2*u**3 - 4*u**2
Let f(i) = 8*i**3 + 14*i**3 + 4 - 12*i**3 - 7*i**2 + 2*i + 3. Let z(p) = -7*p**3 + 5*p**2 - p - 5. What is 5*f(b) + 7*z(b)?
b**3 + 3*b
Let r(d) = d. Let c(s) = -7*s**2 - 11*s + 2. Let t(l) = -3*l**2 - 5*l + 1. Let o(j) = -4*c(j) + 9*t(j). Give 2*o(i) + 3*r(i).
2*i**2 + i + 2
Let i(b) = 4*b - 1. Suppose 49*v - 42*v - 42 = 0. Let n(a) = a. What is v*n(h) - i(h)?
2*h + 1
Let c(m) = 6*m**3 + 17*m**2 + 14*m + 11. Let z be 4 + (-2 - -4) - (-5 - -2). Let f = 8 + z. Let o(i) = -2*i**3 - 6*i**2 - 5*i - 4. Give f*o(l) + 6*c(l).
2*l**3 - l - 2
Let f(d) = -2*d - 42. Let c(b) = -2*b - 43. Calculate -5*c(x) + 4*f(x).
2*x + 47
Let f(v) = 15*v**2 - 3. Let h(i) be the first derivative of 29*i**3/3 - 5*i + 329. Calculate 5*f(p) - 3*h(p).
-12*p**2
Let h(u) = 7*u**3 - 12*u - 6. Let f(y) = -9*y**3 + 11*y + 4. Determine -4*f(n) - 3*h(n).
15*n**3 - 8*n + 2
Let f(c) = -5*c**2 + 9*c - 25. Let x(m) = -3*m**2 + 5*m - 13. Calculate 6*f(d) - 11*x(d).
3*d**2 - d - 7
Let d(s) = -21*s**2 + 6*s - 1. Let l(c) = 21*c**2 - 8*c + 2. Calculate -4*d(k) - 3*l(k).
21*k**2 - 2
Suppose 5*t = -7 + 27. Suppose i - 18 = -b + t, -2*i = -b - 53. Let s(p) = 85*p**3 + 25*p + 25. Let y(u) = -7*u**3 - 2*u - 2. Give i*y(q) + 2*s(q).
-5*q**3
Let q(o) = 3*o**3 + 4*o**2 - 4. Let m = 10 + -24. Let i = -18 - m. Let z(x) be the first derivative of -x**4/2 - x**3 + 3*x - 1. Calculate i*z(r) - 3*q(r).
-r**3
Let a(c) = 8*c**3 + 6*c**2 + 9*c - 11. Let b(f) = 7*f**3 + 5*f**2 + 8*f - 11. Give -5*a(i) + 6*b(i).
2*i**3 + 3*i - 11
Let s(f) = -f**2 + f + 1. Let g(m) = -m**3 - 3*m**2 - 21*m + 1. What is g(y) - s(y)?
-y**3 - 2*y**2 - 22*y
Suppose 0*v = -3*v - 18. Suppose -9*d + 2 = -8*d - j, 0 = 3*d + 3*j - 6. Let r(i) = -1 - 1 - i**3 + 1. Let t(o) = -4*o**3 - 2. Determine d*t(c) + v*r(c).
-2*c**3 + 2
Let v(m) = -13*m + 16. Let w(h) = 54*h - 66. Calculate -9*v(j) - 2*w(j).
9*j - 12
Let q(o) = 5*o**3 + 2*o**2 - 3*o. Let b = 8 - 9. Let h(p) be the first derivative of 0*p + 1/3*p**3 + 1/4*p**4 + 5 - 1/2*p**2. Calculate b*q(w) + 3*h(w).
-2*w**3 + w**2
Let k(s) = -12*s**2 - 2*s + 2. Let r(h) = h**3 - h**2 + h - 1. Calculate k(p) + 2*r(p).
2*p**3 - 14*p**2
Let a(m) = -81*m**3 - m**2. Let k(h) = 325*h**3 + 4*h**2. Determine -9*a(g) - 2*k(g).
79*g**3 + g**2
Let a(q) = 2*q - 251. Let y(u) = -15*u + 2070. Let i(h) = -33*a(h) - 4*y(h). Suppose 0*x - 15 = -5*x. Let z(n) = -3*n + 2. Determine x*i(w) - 5*z(w).
-3*w - 1
Let q(i) = -827*i - 7. Let b(p) = -415*p - 4. Determine 11*b(v) - 6*q(v).
397*v - 2
Let f(s) = -62 - 66 + 128 + 15*s. Let w(z) = -8*z. Calculate -5*f(c) - 9*w(c).
-3*c
Let h(y) = 25*y**2 - 35*y. Let c(d) be the third derivative of -d**5/30 + d**4/8 - 9*d**2 + 5. Calculate -35*c(i) - 3*h(i).
-5*i**2
Let q(m) = -4*m**3 + 5*m - 3. Suppose 5*c = -5*k + 15, -5*k + 20 = -4*c + 14. Let l(w) = -w**3 + w - 1. Give c*q(t) - 3*l(t).
-t**3 + 2*t
Let k = -48 + 59. Let w(z) = 11*z**2 + 2*z + 7. Let b(n) = -55*n**2 - 11*n - 34. Let a(s) = k*w(s) + 2*b(s). Let u(g) = -5*g**2 - 4. Give -6*a(x) - 13*u(x).
-x**2 - 2
Let z(r) = 2*r. Let m(w) = -2*w**2 - 8*w + 1. Determine m(v) + 2*z(v).
-2*v**2 - 4*v + 1
Let y(b) = -5*b + 5 + 6*b**3 + 3*b**2 - 3*b**2. Suppose -6 = -5*d + f, 4*f + 0 + 6 = 2*d. Let w(q) = -q**3 + q - 1. Calculate d*y(i) + 5*w(i).
i**3
Let c(l) = 4*l**3 - 3*l**2 + 3*l. Let y(b) be the third derivative of b**6/120 - b**5/60 + b**4/24 - b**2. Let s = 364 + -365. Determine s*c(r) + 3*y(r).
-r**3
Let m(l) = 3*l + 22 + 25 + 25 - 68. Suppose 0 = -3*j | {
"pile_set_name": "DM Mathematics"
} |
8)). Factor 9*k**5 + 1 - 8*k**5 + 16*k - 5 + 19*k**3 - 25*k**d - 2*k**4 - 5*k**4.
(k - 2)**2*(k - 1)**3
Let u(l) be the first derivative of -3*l**4/20 - 1. Factor u(f).
-3*f**3/5
Let y(g) = -5*g**5 - 4*g**4 - 2*g**3 - 14*g**2 - 13*g + 4. Let p(m) = -m**5 - m**4 - m**2 - m + 1. Let k(v) = 6*p(v) - y(v). Factor k(a).
-(a - 2)*(a + 1)**4
Let v = -31/15 + 12/5. Factor v*g**2 + 1/3*g + 0.
g*(g + 1)/3
Find t, given that -3*t**4 - 16*t**3 - 25 + 23 - 21*t**2 - t**4 - 11*t = 0.
-2, -1, -1/2
Solve -4*d**2 - 5 + d**2 - 3*d + 5 = 0 for d.
-1, 0
Let x(s) = s. Let c(q) = q**2 + 3*q. Let p(o) = -o**3 + 4*o**2 + 2. Let g be p(4). Let v(a) = g*x(a) - c(a). Factor v(l).
-l*(l + 1)
Let f = 3/5 + 3/20. Suppose 1/4*s**3 + 0*s - 1 + f*s**2 = 0. Calculate s.
-2, 1
Let q(t) be the first derivative of 0*t - 1/420*t**6 + 1 - 1/7*t**4 + 8/21*t**3 + 1/35*t**5 - t**2. Let j(v) be the second derivative of q(v). Factor j(g).
-2*(g - 2)**3/7
Let i(u) be the second derivative of -u**8/5880 + u**6/1260 + u**3/6 - 2*u. Let h(b) be the second derivative of i(b). Factor h(z).
-2*z**2*(z - 1)*(z + 1)/7
Let 1/4 - w**3 - 1/4*w**2 + w = 0. Calculate w.
-1, -1/4, 1
Determine h, given that 0*h + 16/5*h**3 + 32/5*h**4 + 0 + 2/5*h**2 = 0.
-1/4, 0
Let h(p) be the first derivative of -3/2*p**4 + 3/5*p**5 + 0*p**2 + 3 + 0*p**3 + 0*p. Let h(a) = 0. Calculate a.
0, 2
Factor 0 - 1/5*k**2 + 2/5*k.
-k*(k - 2)/5
Let b(j) be the second derivative of 0*j**2 - 1/84*j**4 + 0*j**3 - 7*j + 0. Factor b(x).
-x**2/7
Let w(q) = 3*q**4 - 4*q**3 + 2*q**2 + 2*q + 1. Let d(c) = 9*c**3 - 5 - 1 - 4*c - 5*c**2 - 7*c**4 + 2 + 1. Let i(g) = -2*d(g) - 5*w(g). Factor i(k).
-(k - 1)**3*(k + 1)
Suppose 2*a - 4*b = -0*a + 4, 0 = a - 3*b. Suppose -a*r + r + 10 = 0. Solve o**r + 0*o**2 + 0*o**2 + 1 - 2*o = 0 for o.
1
Let y(w) = w**2 - 2*w + 5. Let b(n) = -2*n**2 + 4*n - 9. Let p(a) = -4*b(a) - 7*y(a). Find q, given that p(q) = 0.
1
Suppose 92*i = 84*i + 32. Suppose 0*a + 0 + 3*a**i - 3/4*a**2 + 9/4*a**3 = 0. What is a?
-1, 0, 1/4
Let p(s) be the first derivative of s**6/720 + s**5/60 + s**4/16 + 4*s**3/3 - 5. Let z(k) be the third derivative of p(k). Suppose z(m) = 0. What is m?
-3, -1
Let m(r) be the third derivative of r**5/12 - 5*r**4/12 + 5*r**3/6 - 8*r**2. Determine o, given that m(o) = 0.
1
Let v be (-3)/4*(-6 + 2). Factor -2*f**v + 24*f**2 - 48*f + 32 - 2*f**3 + f**3 - f**3.
-4*(f - 2)**3
Determine c so that 4*c**2 + 3*c**3 + 0 + 4/3*c + 2/3*c**4 = 0.
-2, -1/2, 0
Suppose 6 = g + 2*i, 5*i = -3*g + 4*g - 20. Let q be 4/g - 9/45. Let -1/5*t**3 + q*t**2 - 1/5*t**4 + 1/5*t + 0 = 0. What is t?
-1, 0, 1
Let g(r) be the second derivative of -38/5*r**5 + 157/12*r**4 - 22/3*r**3 + 14/3*r**7 + 2*r**2 - r + 0 - 161/30*r**6. Let g(j) = 0. What is j?
-1, 1/4, 2/7, 1
Let n = 15/2 - 7. Let u(o) be the first derivative of 0*o + n*o**2 + 1/6*o**6 + 4/3*o**3 + 2 + 4/5*o**5 + 3/2*o**4. Determine q, given that u(q) = 0.
-1, 0
Let a(y) be the second derivative of -y**6/480 - y**5/120 - y**4/96 - 3*y**2/2 - 3*y. Let u(q) be the first derivative of a(q). Let u(m) = 0. Calculate m.
-1, 0
Let b(d) be the first derivative of 2*d**3/9 - 1. Determine m so that b(m) = 0.
0
Let j = 247/7 - 35. Let i(y) = -2*y**2 + y + 2. Let m be i(0). Factor 0*d + j - 2/7*d**m.
-2*(d - 1)*(d + 1)/7
Let m(f) be the second derivative of -f**6/45 + 2*f**5/15 - f**4/6 + 2*f - 7. Suppose m(o) = 0. What is o?
0, 1, 3
Factor -105*g - 120*g - 8 + 20*g**3 - 4*g**4 + 253*g - 36*g**2.
-4*(g - 2)*(g - 1)**3
Let m(l) be the first derivative of 0*l**2 + 2 + 0*l + 1/420*l**5 + 1/1260*l**6 - 1/42*l**4 - l**3. Let w(n) be the third derivative of m(n). Factor w(j).
2*(j - 1)*(j + 2)/7
Let z(x) be the third derivative of 5*x**8/168 - x**7/14 + x**5/12 + 2*x**2. Factor z(o).
5*o**2*(o - 1)**2*(2*o + 1)
Let z = 13 + -11. Factor 1/5*d**3 + 0 + 0*d + 0*d**z.
d**3/5
Factor 21*l**2 - 23*l**2 + 4*l - 4 - 2*l + 4*l.
-2*(l - 2)*(l - 1)
Let d be 1/((-4)/(-6)*(-2)/(-4)). Solve 2/9*m**2 + 2/9*m**d - 2/9*m - 2/9 = 0.
-1, 1
Let l(u) = -16*u**3 + 74*u**2 - 29*u. Let y(b) = 5*b**3 - 25*b**2 + 10*b. Let a be (2/4)/(3/24). Let c(f) = a*l(f) + 11*y(f). Factor c(x).
-3*x*(x - 2)*(3*x - 1)
Let s be -6 - 52*(-8)/68. Factor 4/17*k**3 - 2/17*k - 2/17*k**5 - 2/17 + 4/17*k**2 - s*k**4.
-2*(k - 1)**2*(k + 1)**3/17
Let g(l) be the first derivative of -14*l**6/9 - 76*l**5/15 + 13*l**4/3 + 76*l**3/9 - 4*l**2 - 68. What is m in g(m) = 0?
-3, -1, 0, 2/7, 1
Suppose -21 = -4*y - 9. Let i(d) be the first derivative of y + 0*d**4 - 1/9*d**3 + 1/15*d**5 + 0*d + 0*d**2. Let i(h) = 0. What is h?
-1, 0, 1
Let z(i) be the first derivative of 175*i**6/12 + 109*i**5/2 + 5*i**4 - 380*i**3/3 - 20*i**2 + 40*i + 40. Find v, given that z(v) = 0.
-2, -2/5, 2/7, 1
Let l(o) be the third derivative of -5*o**8/42 + 9*o**7/35 + o**6/15 - 3*o**5/10 - o**4/6 + 2*o**2. Let l(v) = 0. What is v?
-2/5, -1/4, 0, 1
Let f(a) be the third derivative of 2/45*a**5 + 0*a + 1/36*a**4 + 1/60*a**6 + 0 + 0*a**3 - a**2. Factor f(h).
2*h*(h + 1)*(3*h + 1)/3
Suppose 0 + 0*a + 3/2*a**2 - 3/2*a**3 + 3/8*a**4 = 0. Calculate a.
0, 2
Suppose 4*k = -3*h + 27, 5*h = -5*k - 0*k + 40. Solve -s + 5*s + 3*s**2 - 4*s - k*s**3 = 0 for s.
0, 1
Let a be (-9)/6*(-20)/3. Let c = a + -7. Factor 0*f**2 + 0*f + 1/2*f**c - 3/2*f**4 - 2*f**5 + 0.
-f**3*(f + 1)*(4*f - 1)/2
Let l(o) be the first derivative of o**3 - 9*o**2/2 - 12. Find k such that l(k) = 0.
0, 3
Let b(a) be the second derivative of -3/10*a**2 + 0 + 4*a - 1/5*a**3 - 1/20*a**4. Solve b(m) = 0.
-1
Solve 5 - n**2 - n + 9 - 8 = 0 for n.
-3, 2
Let y(n) be the second derivative of n**7/252 - n**6/45 + n**5/20 - n**4/18 + n**3/36 + 18*n. Suppose y(m) = 0. Calculate m.
0, 1
Let d(o) = 4*o**5 - o**3 + 2*o**2 - 2. Let f(c) = -7*c**5 + 3*c**3 - 4*c**2 - c + 4. Let w(a) = 5*d(a) + 3*f(a). Find l such that w(l) = 0.
-2, -1, 1
Let y(a) be the second derivative of -a**7/231 + a**6/165 + 14*a. Determine m, given that y(m) = 0.
0, 1
Let m(g) be the third derivative of g**6/150 + 4*g**5/75 + g**4/6 + 4*g**3/15 - 16*g**2. Factor m(n).
4*(n + 1)**2*(n + 2)/5
Let d(h) be the second derivative of h**7/105 - h**5/25 + h**3/15 - 13*h. Factor d(b).
2*b*(b - 1)**2*(b + 1)**2/5
Factor 0 + 1/4*v**3 + 0*v**2 - 1/4*v.
v*(v - 1)*(v + 1)/4
Let n(y) = y**4 + 9*y**3 + 18*y**2 + 10*y - 3. Let c(b) = 4*b**4 + 28*b**3 + 54*b**2 + 30*b - 10. Let m(l) = -3*c(l) + 10*n(l). Factor m(s).
-2*s*(s - 5)*(s + 1)**2
Suppose -2 - 4 = -2*v. Determine d so that 6*d**3 - 6*d - v*d**5 - 2*d**3 + 2*d**3 + 3*d = 0.
-1, 0, 1
Suppose 2*d + 0*l + 19 = l, -3*l = d - 1. Let a = 14 + d. Find z, given that -3*z - 2*z**2 - 2*z + a*z**2 + 2 - z**3 = 0.
1, 2
Let b(i) = -117*i - 114. Let r be b(-1). Solve 0*y + 9/7*y**2 - 12/7 - 3/7*y**r = 0 for y.
-1, 2
Let f(v) be the first derivative of -2*v**5/5 - v**4/2 + 2*v**3 + v**2 - 4*v + 4. Factor f(d).
-2*(d - 1)**2*(d + 1)*(d + 2)
Let i(s) = s**2 + s + 1. Let u(c) = 3*c**2 + 33*c - 36. Let l(o) = 6*i(o) + u(o). Factor l(k).
3*(k + 5)*(3*k - 2)
Suppose -2*o + 6 = 2*t - 0*t, -5*t = -5. Factor -3*g**o - g - g**3 + 3*g**2 - 2*g**2.
-g*(g + 1)**2
Let h(o) be the second derivative of -o**6/105 + o**5/35 - o**4/42 - o - 1. Find s, given that h(s) = 0.
0, 1
Solve 101*r - 101*r + 2*r**3 - r**2 = 0 for r.
0, 1/2
Suppose 3*s - 4 = -n - 0, -n = 5*s - 10. Let x(o) be the first derivative of -3 - 2/5*o**5 + 2/3*o**s + 0*o + 1/6*o**6 - 1/2*o**2 + 0*o**4. Factor x(i).
i*(i - 1)**3*(i + 1)
Let h(i) be the third derivative of 0*i + 0*i**3 + 0 + 3*i**2 - 1/480*i**6 + 0*i**4 - 1/240*i**5. Find r such that h(r) = 0.
-1, 0
Suppose 0 = -3*w - 15, -3*s - w - 5 = -0*s. Let a(f) be the third derivative of 0*f + s*f**3 + 1/84*f**4 - 3*f**2 - 1/210*f**5 + 0. What is g in a(g) = 0?
0, 1
Let u be 9/(-21)*12/(-18). Let w be ((-2)/(-3))/((-14)/(-12)). Factor 0*p - w*p**3 + 0*p**2 - 6/7*p**4 + 0 - u*p**5.
-2*p**3*(p + 1)*(p + 2)/7
Let 0*p - 2/9*p**3 + 0 + 4/9*p**2 = 0. Calculate p.
0, 2
Let d = 10 + -8. Suppose 2*k + d*k = 0. Let 0*a**3 - 1/4*a**4 + k - 1/2*a + 3/4*a**2 = 0. Calculate a.
-2, 0, 1
Let t(m) be the second derivative of -m**5/60 - m**4/12 - m**3/9 - 3*m. Factor t(p).
-p*(p + 1)*(p + 2)/3
Solve -8/3 + 0*a + 2*a**3 + 14/3*a**2 = 0.
-2, -1, 2/3
Let x(m) = 6*m**5 + 6*m**4 - 6*m**3 - 2*m**2 - 4*m + 4. Let l(k) = -11*k**5 - 11*k**4 + 11*k**3 + 4*k | {
"pile_set_name": "DM Mathematics"
} |
6.7 - 353.7. Which is the third smallest value? (a) r (b) 1 (c) x
b
Let f be 1/(-2) + (2 - 2). Let m = -184.8 + 185. Let c = m + -2.2. What is the biggest value in c, -0.02, f?
-0.02
Let p be (11 - 11)/((-4)/(-2)). Suppose 0 = -p*d - 3*d + d. What is the second smallest value in d, 1, 0.3, 0.47?
0.3
Let k = -1534 + 1531. What is the third biggest value in -38, 0.1, k?
-38
Let h(o) = -o - 5. Let j be h(-8). Let w be 22/(-42) - (-22)/(-154). Which is the second smallest value? (a) w (b) 0.04 (c) j (d) -2
a
Let y = 44.3 - 1.3. Let z = 0.9 + -48.9. Let c = y + z. What is the second biggest value in 1/3, 4, c?
1/3
Let j = 9 - 8.7. Let a = -0.2063 + 0.3063. What is the third smallest value in -0.2, j, -5, a?
a
Suppose 1 = -i - 3*u, -6*i + 1 = -5*i + 5*u. Let h be (i/(-32))/(7/(-210)*3). Which is the fourth smallest value? (a) 79 (b) -0.5 (c) 0.4 (d) h
a
Let j = 5 + -2. Suppose 7*w - 5*w = j*i, 3*i + 3*w = -15. Let n = 1 - i. What is the second smallest value in n, -5, 4?
n
Let q = -18 + 16. Let b(u) = -u**3 + 3*u**2 + 6*u + 4. Let p be b(4). Suppose -17*a = -14*a - p. What is the third biggest value in a, -0.4, -1/2, q?
-1/2
Let z(k) = k**3 + 58*k**2 + 58*k + 62. Let w be z(-57). Which is the fifth smallest value? (a) 0.4 (b) -1/2 (c) 0.2 (d) w (e) -2
d
Let i = -4420 + 4419.93. What is the fourth biggest value in 2, i, -12, -4/3?
-12
Let c = -1.2611 - -1.2611. Let g = 2.3 - 0.3. What is the fourth smallest value in 0.1, g, c, 3?
3
Let m = -33.56 + 33.5395. What is the second biggest value in m, -0.3, -3/2?
-0.3
Let d = -47 - -46.902. Let p = 27.098 + d. What is the fourth smallest value in 0.4, -1, p, 1/6?
p
Let j = -1 - 0. Let s(g) = -12*g**3 - 3*g**2 + 2*g + 3. Let p be s(j). Which is the second smallest value? (a) -4 (b) p (c) -2
c
Let w = 11455 + -11450.58. Which is the smallest value? (a) 0.3 (b) -3 (c) w
b
Let f = 22 - 95. Let u = f - -76. Let g be (-171)/270 + 1/((-15)/(-2)). Which is the third biggest value? (a) 0.18 (b) g (c) u
b
Suppose -3*y - 4*j = -6 + 12, -3*j + 21 = -2*y. Let g be 22/(-5) - 24/y. What is the smallest value in g, 4, 2?
g
Let y = 1.5 + -1. Suppose 0 = -2*f - 4*t + 2, 3*f + 7221 - 7238 = t. Which is the second biggest value? (a) y (b) f (c) -8/7
a
Let r be ((-234)/(-168))/(-13)*(-1 + 4/(-12)). What is the second smallest value in 0, 1/4, 23/11, -1/2, r?
0
Let u(y) = 2*y**2 + 3*y + 8. Let s be u(5). Suppose -s = -21*j + 11. What is the third smallest value in -0.21, -4, j?
j
Let m be (9/4)/(15/80) - 2. Let v be 8/3 + (-5)/(m/6). Let b = 1.9 + -0.9. What is the smallest value in v, 3, b?
v
Suppose 0 = 10*k - 8*k - 14. Let y be ((42/(-32))/k)/((-6)/8). What is the second smallest value in -6, y, 2?
y
Let s = 2389.4 + -2390.1. Which is the second biggest value? (a) 5 (b) s (c) -5 (d) 2/21
d
Let j = -1031 + 1035. Which is the second smallest value? (a) -0.8 (b) j (c) 5/7
c
Let g(u) = u**3 - 53*u**2 - 61*u - 2701. Let h be g(55). What is the biggest value in h, 2/9, -0.69, 0.3?
0.3
Let h = 159.03 + -159. Let m = -41.5 - -42.5. What is the second biggest value in h, m, -0.05?
h
Let r = -0.35 - -0.05. Let d be 12/(-15) - (1098/(-135) - -8). Let y = 1.92 + -2.42. What is the fourth biggest value in r, d, y, 1/5?
d
Let j = -1 + 1.4. Let d = -1287024809/7019714955 - 24/989389. Let v = 1/645 + d. What is the smallest value in j, 2/3, v?
v
Let a = 10792 - 10779. What is the biggest value in 1, 1/9, -0.01, a, -2?
a
Let o = 5.5 - 5. Let y = 2231.4 + -2236.4. What is the fourth smallest value in 1/9, 0.28, y, o?
o
Suppose 2*k - 5*y = -71, -3*y - 953 = 6*k - 974. Let n be 2/7 - 62/70. Which is the second smallest value? (a) -2 (b) -2/3 (c) k (d) n
a
Suppose -7*a = 19 + 2. Let o be 82*a/(-60) - 24/(-60). Let d = -145 + 1307/9. What is the biggest value in d, o, -2, 2?
o
Let w(d) = -101*d - 1915. Let v be w(-19). What is the fourth smallest value in 0.6, -44, v, -0.1, -5?
0.6
Let r be (-40)/75 + (-1)/(-3). Let k = -31.53 + -0.47. Let u = k + 27. Which is the smallest value? (a) r (b) u (c) 2 (d) -1/4
b
Let y = -6.264 + 4.864. Which is the biggest value? (a) 0.4 (b) 2/27 (c) -2 (d) -4 (e) y
a
Let d be (-8)/((-208)/(-299)) - -11. What is the fourth smallest value in 0.5, -186, 1, -5, d?
0.5
Suppose -1 = -6*t + 11. Suppose 3*u = t*u - 3*h - 72, 5*u - 5*h = -360. Let k be -2*(4/u)/1. What is the smallest value in k, -4/9, -0.9?
-0.9
Let n = 2.464 - -218.636. Let i = -221 + n. Which is the smallest value? (a) 4 (b) -0.4 (c) i (d) -2
d
Let t = 203 - 202. Which is the fifth smallest value? (a) 0.3 (b) 3 (c) t (d) 0.1 (e) -1/6
b
Suppose 5*z + 4320 = 2*l + 2*l, 0 = -4*z. Let r be (-2)/(-10) + 99/l*-4. Let f = -6 + 10. What is the biggest value in r, f, -1/4?
f
Let v = -16.2 + 21.2. Let x(r) = 4*r**2 - 19*r + 23. Let k be x(2). Which is the third smallest value? (a) v (b) k (c) -33 (d) 0.2
b
Let b(g) = -g**3 - 2*g**2 + 22*g + 9. Let s be b(4). What is the second biggest value in s, 18, 2/5?
s
Let f = -373 - -371. Let k = 162.4 - 162. What is the second smallest value in -0.3, f, k, 3?
-0.3
Let o = -426.0935 - -0.0935. Let r = 426.7 + o. Which is the second biggest value? (a) 0.2 (b) r (c) -2
a
Suppose -8*p + 146 = -42*p - 330. Let u = 2 + -2.5. Which is the second smallest value? (a) p (b) u (c) -0.1
b
Let o = -42 + 101. Let x = o - 59.5. Let h = -10 - -5. Which is the second smallest value? (a) 0.3 (b) h (c) x
c
Let m be 19 - 4767/147 - -14. Let s = 0.2 + -5.2. What is the third biggest value in m, -3, s?
s
Let y = -34.5 + 33. Let r = 1 - 0.6. Let w = -40 - -43. Which is the third smallest value? (a) w (b) r (c) y
a
Let c = 2415/2 + -12071/10. What is the second biggest value in 401, -0.4, c?
c
Let k(b) = -b - 36. Let g be k(-12). Let r be (g/96)/(9/(-4)). What is the second biggest value in -3/5, -0.2, 3, r?
r
Let h = 0.945 - 0.83772. Let r = 5.21028 - h. Let z = r + -0.103. Which is the smallest value? (a) -0.07 (b) 0.5 (c) z
a
Let x = 15711 - 15672. Which is the smallest value? (a) x (b) -10/9 (c) 1.1
b
Suppose 55 - 12 = -15*x - 47. Which is the second smallest value? (a) 2 (b) x (c) -9 (d) 10
b
Let x = 26.51 + -28.51. What is the fourth smallest value in x, -4, 3, 0.5, 1/4?
0.5
Let j = -2.391 + 1.391. Which is the smallest value? (a) -4/7 (b) 4 (c) j
c
Let u = 7005 + -6990. What is the second biggest value in u, 5/6, -2/33, -2/21?
5/6
Let x = 1683.8 - 1683.6. What is the second biggest value in -0.1, x, 0.3, 21, 3/5?
3/5
Let q = 321.2016 - 0.1516. Let y = q - 321. Suppose -3*u = -6*u. Which is the smallest value? (a) u (b) 1/3 (c) y
a
Let t = 7.7 + -8. Let i = 150.42 - 2.42. Let u = i - 148.2. Which is the third biggest value? (a) 0.05 (b) t (c) u
b
Let x = 29/1268 + -5217/6340. Let j = -0.06 + 0.36. Which is the third smallest value? (a) x (b) j (c) 1/27
b
Let q(y) = y**2 + 19*y + 51. Let t be q(-16). Let s = -49 + -14. What is the second biggest value in t, s, -1?
-1
Let i = -17461 - -17462.6. Let w = -27.9 + 28. Which is the third smallest value? (a) i (b) -0.6 (c) w
a
Let m = -719.4 - -759.11. Let x = m - 0.71. Let z = x + -41. Which is the third smallest value? (a) -3/7 (b) z (c) -3
a
Suppose 0 = 5*k, -3*h + 71 + 43 = 2*k. Let j(g) = g**2 + g - 3. Let y be j(0). Let q be 0 - y - h/12. What is the smallest value in q, -2/19, 0.08?
q
Let y = 97 + -681/7. Suppose -914*f + 1470 = -358. Which is the second smallest value? (a) y (b) f (c) -1
a
Let s = 8205 - 16407/2. What is the smallest value in 5, s, -2/3, 1, -0.1?
-2/3
Let i = 0.9 - 0.9. Let z = -74 + 70.6. Let l = z + 3.6. Which is the biggest value? (a) l (b) i (c) 1
c
Let n = -0.02 - 3.98. Let i = -15050 + 15045. What is the second biggest value in n, i, 1, 1/4?
1/4
Let j = 0.331 + 9.669. Let d = 5.57 - 5.55. Which is the smallest value? (a) d (b) 2/5 (c) j
a
Let m be (-2 - (-45)/20) + 8*(-2)/(-448). What is the third biggest value in m, 0.75, 3?
m
Let b = 0.2942 - 1.2942. Let m = -58 + 60.3. Let r = -0.3 + m. What is the third biggest value in -0.4, 2/11, b, r?
-0.4
Let h = 0.54 + 448.46. What is the second smallest value in 10, h, 0.4?
10
Let r = 662/9 + -1567/18. Which is the fourth biggest value? (a) -0.25 (b) -3 (c) r (d) -4
c
Let k be (6 + (-70)/14)/(4/(-20)). What is | {
"pile_set_name": "DM Mathematics"
} |
141a + -8a?
1350
In base 5, what is 20 + 241321?
241341
In base 10, what is 2 - 881541?
-881539
In base 14, what is 1c + -4203?
-41c5
In base 8, what is -22 + -4777?
-5021
In base 16, what is -215ac - -1?
-215ab
In base 15, what is -2b - 1315?
-1341
In base 5, what is 123314 - -2?
123321
In base 14, what is -2 - 2c83?
-2c85
In base 16, what is -4654 - -c?
-4648
In base 9, what is 261 - 10330?
-10058
In base 8, what is 0 + -566666?
-566666
In base 11, what is -4556a8 - -4?
-4556a4
In base 8, what is 261020 - -1?
261021
In base 14, what is 1 + 56d0?
56d1
In base 10, what is -11898 + -3?
-11901
In base 6, what is -224 + 3033?
2405
In base 7, what is 2 - -11046511?
11046513
In base 11, what is 1a069 + -39?
1a030
In base 11, what is -3856 - -19?
-3838
In base 9, what is -28 + -251?
-280
In base 4, what is -1 - 2101010222?
-2101010223
In base 3, what is 101 + -11220?
-11112
In base 11, what is -2676 + 8?
-2669
In base 15, what is -15d - -46?
-117
In base 4, what is 10 - -103102311?
103102321
In base 7, what is -144 + -5?
-152
In base 8, what is -55566 + 0?
-55566
In base 12, what is 61 + -193b?
-189a
In base 8, what is -54 + 65142?
65066
In base 10, what is 2 - 51642?
-51640
In base 13, what is -c8b86 + -1?
-c8b87
In base 2, what is -1100011101000110 + 10100?
-1100011100110010
In base 16, what is 18 - -39b?
3b3
In base 8, what is 3667 + -67?
3600
In base 5, what is 14 - -124423?
124442
In base 11, what is 39a031 + -4?
39a028
In base 12, what is 3333 + -64?
328b
In base 13, what is -1145 - 1b?
-1163
In base 16, what is -2 - -6c91?
6c8f
In base 15, what is 6b6a0 - -3?
6b6a3
In base 7, what is 11 - 26225?
-26214
In base 9, what is 30 + -1663?
-1633
In base 3, what is 12 + 22002021121?
22002021210
In base 10, what is -1702 - -2204?
502
In base 11, what is -4 - 36161a?
-361623
In base 13, what is -2 + 5ac6?
5ac4
In base 14, what is -6ad8 + -16?
-6b10
In base 3, what is 20 + -1100221?
-1100201
In base 6, what is 3423 + 3?
3430
In base 15, what is -115 - 4?
-119
In base 3, what is -201022 + -211?
-202010
In base 11, what is -7a64 + 3?
-7a61
In base 16, what is -a - e85?
-e8f
In base 7, what is 2 + 426111?
426113
In base 7, what is -53210 + -1?
-53211
In base 14, what is 2 + -6312?
-6310
In base 12, what is -5 + 2b?
26
In base 16, what is -5dcae + -5?
-5dcb3
In base 14, what is -5335 - -33?
-5302
In base 15, what is -69 - -13b7?
134d
In base 12, what is 3 - 76424?
-76421
In base 9, what is 1038 - -333?
1372
In base 2, what is -1111001011000101110 - 1?
-1111001011000101111
In base 3, what is -221111110 - 1?
-221111111
In base 10, what is 83637 + -2?
83635
In base 16, what is 8 + -f81?
-f79
In base 12, what is -b - -12a0?
1291
In base 10, what is -37897 - -17?
-37880
In base 5, what is -111 - -1414?
1303
In base 3, what is 221 + 120201?
121122
In base 15, what is 345 - -d?
353
In base 14, what is 66c + -227?
445
In base 7, what is 11353 - 34?
11316
In base 14, what is 20b2 + -380?
1b32
In base 6, what is 12104 + 112?
12220
In base 6, what is 2 + -13202?
-13200
In base 12, what is -741b + 196?
-7245
In base 10, what is -1 - -608529?
608528
In base 13, what is -1 + 28a19?
28a18
In base 4, what is -201 + 1213122?
1212321
In base 7, what is 5 - 40602?
-40564
In base 12, what is 1b0b2 + 1?
1b0b3
In base 5, what is 2330234233 + -2?
2330234231
In base 9, what is 0 - -3413?
3413
In base 11, what is -198 - -115?
-83
In base 12, what is 5b - 6b2?
-653
In base 7, what is -100416 - 10?
-100426
In base 3, what is 10 + -10021002221?
-10021002211
In base 12, what is -242 - -7a9?
567
In base 16, what is -150 - 52?
-1a2
In base 13, what is 5079ba + 2?
5079bc
In base 13, what is -1753 - -2?
-1751
In base 7, what is 165 - 1401?
-1203
In base 5, what is -1202134 + 10?
-1202124
In base 13, what is -486 - 23b?
-6c4
In base 11, what is 71 + -8828?
-8767
In base 4, what is -203200 - -113213?
-23321
In base 12, what is 3 - -64668?
6466b
In base 2, what is 10100111111010010000 - -101?
10100111111010010101
In base 14, what is 2 + 5902b?
5902d
In base 13, what is 3926 - -19?
3942
In base 6, what is -3342 - -20?
-3322
In base 4, what is -3 + 13023031?
13023022
In base 16, what is -4d0 - b?
-4db
In base 15, what is -19883 - -35?
-1984d
In base 8, what is 10 + -27536?
-27526
In base 4, what is -1 - 2011030?
-2011031
In base 3, what is 0 + 10212100?
10212100
In base 14, what is -1b - -35?
18
In base 2, what is -110000111 - -1000011?
-101000100
In base 2, what is -110110111111 - -1000?
-110110110111
In base 14, what is 0 - 1c096?
-1c096
In base 5, what is -3 + 2422202?
2422144
In base 13, what is 3 + 3872?
3875
In base 7, what is 3230164 - 13?
3230151
In base 5, what is -102 - -120304?
120202
In base 10, what is 3 + -57941?
-57938
In base 7, what is 0 - -356530?
356530
In base 5, what is 2432330 - 2?
2432323
In base 6, what is 134445001 + -2?
134444555
In base 13, what is 1c37 + -c9?
1b3b
In base 13, what is 9 + -723?
-717
In base 13, what is -5 + 362aca?
362ac5
In base 7, what is -5 + 60455?
60450
In base 5, what is -21430 - -134?
-21241
In base 14, what is 2 - 1dc33?
-1dc31
In base 10, what is -144 - -578?
434
In base 14, what is 9 + 68a42?
68a4b
In base 16, what is -17 + 1ecc6?
1ecaf
In base 15, what is -3 + 103b57?
103b54
In base 2, what is 1011 + -1001100010000?
-1001100000101
In base 11, what is -2 - -45005?
45003
In base 11, what is -54087 + 18?
-5406a
In base 16, what is -fe748 - -4?
-fe744
In base 11, what is -25 - -1aa11?
1a997
In base 10, what is 3494 - -36?
3530
In base 4, what is 3 + -12031030?
-12031021
In base 4, what is 232100102 - 2?
232100100
In base 11, what is -13 + -123?
-136
In base 6, what is 0 + -343205?
-343205
In base 4, what is 1010 - 131233?
-130223
In base 3, what is -101002020101 + 10?
-101002020021
In base 4, what is 21102 - -233?
22001
In base 10, what is 14976 + 10?
14986
In base 14, what is -2 - 1862a9?
-1862ab
In base 3, what is -11 + 220001220002?
220001212221
In base 11, what is 8a3691 + -2?
8a368a
In base 9, what is -3 - -751440?
751436
In base 12, what is -140 + -311?
-451
In base 7, what is -5543350 + -4?
-5543354
In base 16, what is 0 + -ab?
-ab
In base 7, what is 3 + 603?
606
In base 6, what is 142 + 3022?
3204
In base 12, what is 1721 + -50?
1691
In base 13, what is 0 + 1862c?
1862c
In base 13, what is 2 - -1a798?
1a79a
In base 5, what is -3 - 10013301?
-10013304
In base 9, what is 106777 - -1?
106778
In base 13, what is 33b - -8b?
3c9
In base 10, what is 1747 + 319?
2066
In base 2, what is 101 - -101110110110000011?
101110110110001000
In base 11, what is 812 - 4764?
-3a52
In base 7, what is -64402 + -6?
-64411
In base 2, what is 11100111101011011 + 100?
11100111101011111
In base 4, what is 0 + 213121?
213121
In base 12, what is -4176 + 4?
-4172
In base 11, what is 184 - 1184?
-1000
In base 6, what is 12312545 + -3?
12312542
In base 10, what is 8 + -17891?
-17883
In base 13, what is -29 - 96a?
-996
In base 16, what is 54 + -66d?
-619
In base 2, what is -100 + 11111011100010?
11111011011110
In base 13, what is -3 - -13325?
13322
In base 11, what is -120 + 236?
116
In base 4, what is 3111 + -1312?
1133
In base 14, what is -1c7 - 460?
-647
In base 13, what is -323 - -21?
-302
In base 15, what is 312cc3 + 4?
312cc7
In base 8, what is 7022 + -616?
6204
In base 6, what is 42 - 11154?
-11112
In base 13, what is 0 + 55aa9?
55aa9
In base 8, what is -15 + 2647?
2632
In base 8, what is -53432 + 34?
-53376
In base 13, what is -6 - 1427c?
-14285
In base 6, what is -123 + 241333?
241210
In base 3, what is -22 - -202020110?
202020011
In base 13, what is -2683a + 0?
-2683a
In base 8, what is -151025 - 2?
-151027
In base 15, what is -3 - 8b5ba?
-8b5bd
In base 6, what is 5 + -130422?
-130413
In base 6, what is -1334 - 14?
-1352
In base 13, what is 10361 - -18?
10379
In base 5, what is 104214 + 104?
104323
In base 10, what is -20 - -53?
33
In base 5, what is -42 + 23220?
23123
In base 5, what is 3 + 2020040?
2020043
In base 2, what is 110111000100101011101 - -1?
110111000100101011110
In base 12, what is 6815 - -3?
6818
In base 9, what is 1215 - -1?
1216
In base 13, what is 1 - 67783?
-67782
In base 11, what is 5 + -3862?
-3858
In base 3, what is -12000 - -200221?
111221
In base 8, what is 4 - -3207016?
3207022
In base 15, what is -1 + -14eb?
-14ec
In base 2, what | {
"pile_set_name": "DM Mathematics"
} |
-95 + 95.098. Let m = 7.098 - u. Sort 0.5, m, -2, -3 in descending order.
m, 0.5, -2, -3
Let r = 179.98 + -177.98. Sort -27, 1/6, 2/9, 0, r in decreasing order.
r, 2/9, 1/6, 0, -27
Let y be 7040/968 - 33/121. Let h(r) = r**3 - r**2 - r. Let d be h(2). Let x = -1402/9 - -156. Put x, -4, y, d in decreasing order.
y, d, x, -4
Suppose 19*w - 413 = 423. Suppose 22 - w = 11*a. Suppose 0 = -5*l + 1 + 4, 0 = 4*p + l - 17. Put p, -3, a in descending order.
p, a, -3
Let s = -1423 - -1422.5. Sort s, -5/4, 3/26 in increasing order.
-5/4, s, 3/26
Let w(k) = 61*k - 12. Let n be w(2). Let i be 10/(-25)*50/n. Let l = -2.8 - -3. Sort l, i, 3/7, 0 in decreasing order.
3/7, l, 0, i
Suppose 200 = -11*o + 16*o. Suppose 0 = o*f + 30 + 90. Let k be 3 - (-2 - (2 - 2)). Put -4, k, f, -2 in increasing order.
-4, f, -2, k
Let o = -3572.3 - -3573. Sort -5, 1/3, -0.032, o, -4 in decreasing order.
o, 1/3, -0.032, -4, -5
Let h = 1277/7 + -183. Suppose -15*u + 4*u = -55. Suppose u = -2*n + 7. Put 0.2, h, n, -5 in descending order.
n, 0.2, h, -5
Let k = 1496 - 7476/5. Sort -5.2, k, 3/7, -0.1 in decreasing order.
k, 3/7, -0.1, -5.2
Let q = 8 - 8.08. Let f = -6.92 + q. Sort f, -5, 4.
f, -5, 4
Let p = 6.31 + -6.21. Let w be (3 - 35/10)/1. Put p, 0.4, w, -2/5 in decreasing order.
0.4, p, -2/5, w
Let c(h) = 347*h - 2079. Let a be c(6). Put -3, 1, a, -5, 14 in increasing order.
-5, -3, 1, a, 14
Suppose 0 = 8*n - 3*n - 5. Let a be ((-1)/(-2))/(11/110). Suppose -50*j - 41*j = -20*j. Sort a, j, n, -3 in decreasing order.
a, n, j, -3
Let o = -17044 - -17050. Let p = 3 + -7. Put -1, p, o, 1 in ascending order.
p, -1, 1, o
Let m = 6944 - 6946. Put 0, 0.7, 37, m in increasing order.
m, 0, 0.7, 37
Suppose -4*t - 3*x - 10 = t, 4*t - 7*x + 55 = 0. Put t, 5, 2, 257 in increasing order.
t, 2, 5, 257
Let v = -40.99 - -40.29. Sort v, 0.29, -2 in ascending order.
-2, v, 0.29
Suppose 66*y = 69*y - 207. Suppose 0 = 4*g - 68*p + y*p + 11, -g + 5*p = 8. Sort -1, 0, 6, g.
g, -1, 0, 6
Let t(j) = j**2 + j - 2. Let s be t(2). Suppose -2*q + 3*z = 52, 122*z - 118*z - 62 = -q. Sort s, 14, 3, q.
q, 3, s, 14
Let k = -227 + 231. Put -3, -1, k, -1/7 in descending order.
k, -1/7, -1, -3
Let p be -1 + ((-1)/(-2) - 1). Let k(d) = 6*d**2 - 15*d + 17. Let q be k(6). Let m be q/(-390) + 6/(-45). Put -1, m, 1/5, p in descending order.
1/5, m, -1, p
Let j(y) = y**3 - 2*y + 1. Let w be j(2). Suppose 20 = -119*a + 124*a. Let i be (4 + -6)/(a/(-2)). Put w, i, 0, 3 in decreasing order.
w, 3, i, 0
Let b(s) = -s**3 + 4*s**2 - 3*s + 2. Let g be b(3). Let q(o) = -o + 4. Let m be q(9). Suppose -14*k = -21 - 35. Sort k, g, m.
m, g, k
Let h be 40352/4036 + 250/(-25). Put 0.3, 0.5, h in descending order.
0.5, 0.3, h
Let k = -203/1362 - 4/227. Put 3, -0.1, k, -2/7, -0.06 in descending order.
3, -0.06, -0.1, k, -2/7
Suppose -33*f + 6*f = -81. Let x = 3 - 1. Suppose -x = -2*o + 3*i - i, 5*o = -f*i - 35. Sort 0.7, -0.3, o in descending order.
0.7, -0.3, o
Suppose 2*q = 6*q - 628. Let y = 475/3 - q. Let t = -14332/461565 - -2/7101. Sort y, 2, t.
t, y, 2
Suppose -15*g = -8*g - 21, 0 = -5*x - g - 7. Put 5, 721, x in descending order.
721, 5, x
Suppose 3*z + 174 = -3*j, 2*z + 120 = 2*j - 6*j. Let p be 4/(-18) - z/210. Sort p, -1/11, 0.2, 3/7.
-1/11, p, 0.2, 3/7
Suppose 3*f + f + 68 = 0. Let w = f + 15. Let z(d) = -53*d + 55. Let q be z(1). Put q, 53, 0, w in decreasing order.
53, q, 0, w
Suppose -86*w + 92*w + 37 + 11 = 0. Put 2/17, -5, 2/5, w, 1 in increasing order.
w, -5, 2/17, 2/5, 1
Suppose -2*d = -9*d + 91. Let x = 448 - 446. Sort 5, x, d.
x, 5, d
Let z be (2 + (-3)/2)*2. Suppose p = -5*b - 603, 4*b + 0*p = p - 486. Let q = b + 116. Sort z, 0, q.
q, 0, z
Let r = -0.04902 + -77.24098. Let u = 80.9 + r. Let h = u - -0.39. Sort -3, h, -13 in increasing order.
-13, -3, h
Suppose 2*k + 76 = 6*k. Suppose 5*l + 6 + k = 0. Let o be (1 - 18/22) + 0. Put -0.3, o, 5/2, l in descending order.
5/2, o, -0.3, l
Let t = -1321.7 + 229.7. Let m = t + 1090. Let k be 1/((-13)/(-15)) + -1. Put m, 5, k in increasing order.
m, k, 5
Let b = 685 - 689. Sort b, 4, 0.4, -3, -0.113.
b, -3, -0.113, 0.4, 4
Let c = 3 + 15. Suppose 4*i = o + o - c, 2*o - 12 = i. Let m = 11 - 12. Sort m, o, 2 in increasing order.
m, 2, o
Let i be (4/(-6))/(15/((-360)/(-16))). Let k = -79 + 83. Sort i, -5, 1, k in decreasing order.
k, 1, i, -5
Let h = 3.97576 + 0.02424. Put 3, -113, h, -4, 5 in descending order.
5, h, 3, -4, -113
Let a = 23 - 114/5. Suppose 15*n + 24 = 5*q + 17*n, 14 = 2*q + 3*n. Let w = 5365/3 + -1788. Put 3, w, q, a in increasing order.
a, w, 3, q
Let n = 0.34488 - 0.04488. Let z = 1 + -0.995. Sort z, n, 5 in descending order.
5, n, z
Let c be 14/(-49) - 23/(-7). Suppose 0 = -4*t - o + 18, 0 = -2*t + o + c*o. Let h(b) = b**3 - 2*b - 3. Let q be h(2). Put q, -3, t in increasing order.
-3, q, t
Let g be (14 - 750/54)*9. Sort g, -4, 4, 28 in descending order.
28, 4, g, -4
Let i be ((-53)/1749)/((14/12)/7). Put -1/4, -1, i, 5 in increasing order.
-1, -1/4, i, 5
Let s = 9.8309 - -0.3691. Sort 3, s, 0 in ascending order.
0, 3, s
Suppose -31 + 1 = -3*p. Let w be -2 - 2*p/(-4). Suppose -5*y = -4*k - 24 - 9, -k - 12 = -2*y. Sort k, w, -9, -3 in decreasing order.
w, k, -3, -9
Let z(s) = 23*s + 759. Let q be z(-33). Sort 60/47, -2/3, q in descending order.
60/47, q, -2/3
Suppose 0 = -3*m - 6, -3*m = 2*d - 0*m + 14. Suppose 81*s - 77*s = -2*q + 5396, 4*s - 3*q = 5406. Let h = s - 1351. Sort d, -31, -3, h.
-31, d, -3, h
Let u be (-1353)/(-165) - (-3 - (-184)/60)*3. Put -4, u, 1, 0 in decreasing order.
u, 1, 0, -4
Let w = -3.01969 - -0.01969. Let j = -28.05 + 28. Sort -0.4, j, w, 2/9.
w, -0.4, j, 2/9
Let y be ((-35)/(-30))/7 + 77/6. Let t(c) = 7*c - 93. Let l be t(y). Sort l, 5, -19 in decreasing order.
5, l, -19
Let u(r) = -r**2 + 7*r + 22. Let x be u(9). Suppose m - x*j - 132 = 6*m, -j = -4*m - 93. Put 0, m, -5 in decreasing order.
0, -5, m
Let z = -62 - -57. Let h = -10 - -35. Let y = h - 25.2. Sort y, z, 3.
z, y, 3
Let h be -1*4/16*((-2124)/9 - -8). Put 0.3, -2/19, h, 4/7, 1/2 in ascending order.
-2/19, 0.3, 1/2, 4/7, h
Let n = 1681.7 + -1785. Let y = n + 101.3. Let h = -0.06 + -3.94. Sort y, 0.4, h in descending order.
0.4, y, h
Let m = -4759.5 - -4764.5. Let b = -3 + 3.2. Sort m, b, -18, 4.
-18, b, 4, m
Let j = 77/20 + -18/5. Let v = 0.795 + -0.395. Let n = -1/4 - 1/12. Sort j, v, 0, n in increasing order.
n, 0, j, v
Let q(o) = -o**3 - 4*o**2 + 2*o + 5. Let x be q(-4). Let u be (-20)/(2/(-1))*36/18. Let i be -5*(-2)/60*u. Put 0.1, x, i in descending order.
i, 0.1, x
Let u(b) = 53*b**2 + 472*b - 42. Let g be u(-9). Suppose -4*r = -2*o - 14, 3*o + r - 5 = 2*o. Put g, o, 2, -7 in descending order.
g, 2, o, -7
Let q = 567 + -565. Let h(l) = 2*l - 16. Let n be h(9). Suppose -6 + 4 = n*g. Sort q, g, 21.
g, q, 21
Let c = 2.92 + 0.08. Let l = -263.8 - -263.7. Let n be 2/(-39)*6/(-2). Put 4, n, c, l in descending order.
4, c, n, l
Suppose -5*q - 19 = -2*o, 2*q + 2*o - 16 = 6*q. Suppose 4*g = g - 3*f - 9, 0 = -g - 2*f - 6. Sort -5, q, 5, g in increasing order.
-5, q, g, 5
Let l = -17.6 + 14.6. Let j = -26.63 - -1.83. Let p = j + 25. Sort p, -1, l.
l, -1, p
Let d(m) be the third derivative of -m**5/60 + 31*m**4/24 + 95*m**3/6 + 12*m**2 - 4. Let s be d(34). Put 16, s, 2 in decreasing order.
16, 2, s
Suppose 0 = -4*y - 3*o - 2*o + 11, -5*o - 70 = -5*y. Suppose 5*z - 5*n = 20, -3*n - 5 = -z + y. Let b = -2502 + 2500. Sort 6, z, -5, b in ascending order.
-5, b, z, 6
Let g(b) = b**2 - 10*b + 11. Let y be (-5 - 1)/(8/(-12)). Let a be g(y). Let p = -14256 - -14248. Sort p, 5, a.
p, a, 5
Let n(b) = -4*b**2 + 123*b + 64. Let p be n(31). Sort 6/11, p, 4/3 in decreasing order.
p, 4/3, 6/11
Let b = -0.17969 - -0.14969. Put b, -0.6, -4, 36 in decreasing order.
36, b, -0.6, -4
Let q be ((-122)/(-122))/(3/(-14 + -1)). Let h = -1 + 4. Let r be 0 - 1/(h/6). Sort r, q, -3.
q, -3, r
Let w be 1*(-4)/(-14) + (-33)/(-7). Let q be 1/(w + (-4)/(1 + 0)). Suppose -3*o + 0*j = -2*j + 15, 15 = -3*o + j. Sort q, 3, o in increasing order.
o, q, 3
Let f = -49 + -59. Let c = f - -108. Put c, 6/13, 0.04 in descending order.
6/13, 0.04, c
Suppose -5*u = 5*a - 55, 17*u - 15 = 14*u + 3*a. Put u, -127, -2, 3 in descending order.
u, 3, -2, -127
Let r = 5.59896 - 2.59896. Let y = -1.1 + 0.8. Sort y, 0.08, 0, r in a | {
"pile_set_name": "DM Mathematics"
} |
62 + -254 - (2 - (1 + -2)).
5
Calculate (-2 - -62) + -66 + 46 + -11.
29
Calculate -12 - 6 - -12 - -4.
-2
Evaluate -23 - (16 - (36 + -12)).
-15
10 - 32 - (-13 - 6)
-3
(2 - 7) + 0 - (37 + (66 - 116))
8
1 - 17 - -15 - 9
-10
Evaluate 5 + -29 + 22 + (-1 - -1).
-2
Evaluate (13 - 10) + 3 + -11.
-5
-14 + 19 + -17 + 17
5
What is the value of 7 + 1 - (-29 + 22) - 6?
9
Calculate 3 - (1 - -9 - 5) - (-6 - -3).
1
Evaluate -39 - (34 - (-18 - -91)).
0
-26 - (-9 + 3 + (-12 - (11 - 26)))
-23
What is -10 - (-3 - -1 - 10)?
2
What is the value of -21 - (-7 - -1) - (11 - -1)?
-27
-55 + 34 + (15 - 17) + -14
-37
12 - ((6 - 1) + -10 + (-3 - -11))
9
22 + (-22 - (-25 + -8) - (0 - -13))
20
(5 - -2) + -20 + -6 + 25
6
4 - (2 + (-12 - -1))
13
(42 - 37) + 2 + -15
-8
Evaluate 1 + (18 - 12 - 15).
-8
48 + -58 + (-2 - -3 - 0) + 8
-1
Calculate -5 + -207 + 228 + 3 + -1.
18
Calculate -1 + -2 + (-20 - -19) + -13 + 22.
5
What is the value of (86 - 90) + (-10 - (-3 - (0 - 1)))?
-12
What is the value of -4 - (-13 - (0 - (15 + -13)))?
7
Calculate (-24 - (8 + -3)) + 34.
5
What is (9 - (-8 + 4) - 6) + -15?
-8
What is the value of (-17 - 42 - -55) + (-1 - -18) + 0?
13
What is (7 - 5 - -2) + (10 - -19) + -17?
16
Evaluate 127 - 125 - (2 + -13).
13
Calculate (-15 - -1) + -121 + 115 + (0 - -13).
-7
-2 - 7 - -48 - 21
18
4191 + -4192 + 1 + -1 + 9
8
What is -42 + (0 - -6) - (-1 - (5 - -3))?
-27
What is (1 - (10 + 20)) + 26?
-3
What is the value of 3 - (1 + (1 - 5) - 1)?
7
What is 30 - 5 - (0 + 11 - -4)?
10
(-3 - (-16 - -6)) + -18 + -5
-16
15 - (-2 + -17 + 30)
4
Evaluate 6 + (275 - 265) + 0 + -24.
-8
Evaluate (-16 - (-1 + -16)) + 7.
8
What is (11 - (3 + 0 - -11)) + (1 - -26)?
24
What is the value of -6 + (-17 - -10) + -18 - -4?
-27
What is (0 - -2) + 10 - ((0 - -10) + -13)?
15
What is the value of (-8 + -11 - -25) + (1 - -1)?
8
53 + -49 - (3 - (8 - 2))
7
Calculate 13 - (17 + -18 + 0).
14
(-12 - -9) + 2 + (1 - 4)
-4
What is the value of 19 + (20 - (-21 + 10 + 11))?
39
(-4 - -12) + -11 + 13
10
What is (1 - 3 - (-23 - -12)) + (-3 - 3)?
3
15 + (-2 + -11 + 6 - -3)
11
What is the value of (0 - -2) + 2 + (15 - 23) + 3?
-1
-16 - -11 - (0 - 14)
9
What is (-36 - -44) + -2 - (1 - 13)?
18
Calculate (1 + -2 - 0) + -2 - (-1238 + 1234).
1
Calculate -8 + (14 - -8 - -7) + -7 - 2.
12
Evaluate 7 + (-12 - -14) - 23.
-14
(-3 + -13 - -6) + 7
-3
2 + -15 + 15 - 10 - 18
-26
Calculate -1 + -11 + 3 - (4 + -20).
7
Calculate -87 + (47 - 2) + -2 + 13.
-31
What is the value of (-28 - -11) + 6 - (2 + 2)?
-15
What is the value of 6 - -2 - (2 - -18)?
-12
Evaluate 68 - (22 - -16) - 42.
-12
Evaluate 9 + (3 - 7) + (8 - 31).
-18
What is the value of 34 + (-1 - 1) + 6 - (-12 - -20)?
30
What is the value of -6 - (2 - 20 - (-1 - (-9 + 6)))?
14
Calculate (1 - (0 + (3 - 7))) + 3.
8
Evaluate -2 + 3 + (6 - 25).
-18
Calculate 3 + -3 - 9 - 0.
-9
What is the value of -119 + 92 - (-52 + 2)?
23
Evaluate 1 + 6 + (-50 - -55).
12
6 - (-2 + 7 + -9)
10
Evaluate (-55 - -79) + -11 + 0 + 1.
14
13 + (-3 - (15 - (15 - 28)))
-18
What is (-21 - -10) + (5 - -9)?
3
What is (50 + -46 - (3 - 2)) + -1 - 29?
-27
What is -7 + (-3 - -11) + 2 + 3 - 5?
1
What is 23 + 35 + (-61 - -21)?
18
-35 - (-7 - (9 - 7 - 0))
-26
Calculate 19 + (-2 - (23 + 2)).
-8
(484 - 500) + (0 - -12)
-4
What is the value of (-5 - -2 - -11) + -27 + 30?
11
Evaluate 1 + -4 + (4 - (12 + 17)) + 18.
-10
Calculate -28 - (-15 - 3) - -23.
13
Evaluate 5 + 11 + -20 + 15 + 5.
16
What is the value of (5 + -7 - 0) + -1 + 18 + -11?
4
What is the value of (-6 - -7 - -2 - 2) + 4 + -4?
1
Evaluate -8 - -1 - (2 + -19 - -19) - 2.
-11
What is the value of 5 + -39 + 12 + 1 + -1 + -5?
-27
What is the value of 3 - -18 - 30 - 10?
-19
Calculate 2 - (11 + -4 + 6 + -14) - -1.
4
Evaluate -2 - (-9 - 2) - (-1 + (-3 - -9)).
4
Calculate 10 - (0 + (8 - ((4 - 3) + 5))).
8
Evaluate (-10 - -13) + -70 + 47.
-20
What is -26 + 42 + -19 + 6?
3
Calculate 14 - ((-12 - -36) + -12).
2
(2 - (-2 + -6)) + (-10 - 1 - -10)
9
Calculate 15 + 12 + -13 - 14 - (1 - -13).
-14
What is -2 + -3 + 12 + -10 + -3 + 1?
-5
What is the value of -2 - (-3 + 1 + 6) - -17?
11
Calculate -10 + (-10 - -4) + 2 + (3 - 3).
-14
What is 20 - (1 + -15 - -20)?
14
(4 - 5 - -2) + (-22 - -16)
-5
What is the value of -6 + (-3 + (1 - 2) + -1 - -2)?
-9
What is 34 + (4 - 12 - -5) + -7 + 1?
25
Calculate 124 + -123 - ((2 - 3) + 0 - 4).
6
Evaluate 4 - (2 - -4) - -18 - (-67 - -66).
17
What is 6 - -15 - (2 + (-1 + -5 - -15))?
10
Evaluate 120 + -120 + 0 + -9.
-9
What is the value of 1 - -12 - 16 - (-30 - (-3 - 1))?
23
Evaluate -10 + -5 + 8 + (-6 - 0).
-13
What is the value of (10 - 11 - -20) + -7?
12
What is the value of 11 - -4 - (2 + -1 - -8)?
6
Evaluate 16 - (-1 - (-24 + 10)).
3
Calculate -9 + (1 - 13 - (116 - 127)).
-10
What is 4 + -3 + 0 + (10 - 9) + 7?
9
What is 22 + (-26 - 27) + 29?
-2
Calculate (21 - (-5 + 41)) + (5 + -2 - -2).
-10
What is the value of -28 - (-5 + 11 - 20)?
-14
Calculate -25 - ((11 - 81) + 42).
3
Evaluate 3 + 10 + 0 + -9.
4
Evaluate -5 - (-1 + (-51 + 57 - (1 - -3))).
-6
Evaluate -2 + (1 - -3) - (-14 + 2 + 6).
8
What is the value of 17 - ((-1 - (-5 - -11)) + -4 + 14)?
14
What is -6 - -2 - (13 - 13)?
-4
4 + -13 + 1 + (25 + 3 - 0)
20
Calculate 30 - ((7 - 5) + 1 - (3 + -9)).
21
What is the value of -2 + (11 - 7 - -10)?
12
What is the value of -10 + -3 + (18 - 12) + 7?
0
What is the value of -14 - (15 + -13 + -3)?
-13
What is the value of 7 - (-1 + (-1 - 0))?
9
What is the value of 33 + -54 - (-5 + 2 + -1)?
-17
2194 + -2152 + -1 + -15 + 2
28
Evaluate 10 - (-25 + 25 - (-20 - -4)).
-6
Evaluate -12 - (-1 - (18 + -27 - (-17 + 3))).
-6
Evaluate 11 + -15 + -5 + 4 + 8.
3
What is 6 + 2 - 4 - 13 - (-33 + 41)?
-17
Evaluate 17 + -9 + 0 + -34.
-26
What is the value of -4 - (2 + -18 + (53 - 58))?
17
Evaluate -1 - (3 + -2) - 3 - (-94 - -95).
-6
Evaluate -5 + 20 + (-5 + -18 - -12).
4
What is 38 - 5 - (40 - 15)?
8
Evaluate -9 + (14 - -12 - 9).
8
Evaluate -18 - (-22 + 12 + 0).
-8
What is the value of (23 - (33 - 18)) + (4 - 6)?
6
Calculate (25 - (55 + -25)) + 16 + -1 + 1.
11
-11 + 4 + (-2 - 11) + 27
7
What is the value of -20 - (-2 - 2) - -4?
-12
Calculate (-3 - 6) + 3 + -4 + 8 + -2.
-4
What is the value of 6 - (2 - (17 - (1 - (-8 - -4))))?
16
What is 10 + -1 + -11 + 28 - 8?
18
Calculate 7 + 0 + (22 + (-1 - 10) - 5).
13
What is 0 + 19 - (14 + (-14 - -21) + -18)?
16
Calculate -13 + (0 - (-12 - (0 + -2))) + -8.
-11
What is the value of (105 - 101) + 1 + (-7 - 3)?
-5
What is 4 + (12 - (9 - (8 - -2)))?
17
What is -5 + 35 - (131 - 106)?
5
What is the value of -7 - (7 - 27) - 19?
-6
(4 + -1 - (26 - 22)) + 5
4
What is the value of -1 + 1 + 6 + 2 + -4 - -9?
13
Evaluate (-1 - 0) + -3 + 9 + -15 + 0.
-10
Calculate 13 + (-10 - (21 + -14)).
-4
Calculate -13 + (45 - (-5 + 6)).
31
(-11 - -1) + (14 - (-43 + 64))
-17
What is -3 + -4 + 6 + (33 - 8)?
24
Evaluate -2 - 3 - (-16 - (15 - (-12 - -33))).
5
Calculate -91 + 102 - (-1 + -1 - (-10 + 2)).
5
What is (-1 - -8) + (15 - (12 + 4)) - 24?
-18
Evaluate 6 + -15 - (7 - (51 - 2)).
33
(-3 + (19 - 18) - -5) + (-9 - 1)
-7
What is the value of 1 + -17 - (-52 + 43 + (-2 - -11))?
-16
What is the value of -11 - (18 + -23 + -15)?
9
What is the value of (2 - (23 + -29 + (-2 - -2))) + -5?
3
Calculate (0 - -11) + -45 + 46 - (3 + 0).
9
Evaluate 8 - (-3 - 0 - (1 + 0)).
12
What is the value of -27 + -12 + (-21 + 7 - -30)?
-23
-20 + ((-9 - (-2 + -1)) + 6 - -7)
-13
What is the value of -10 + (-5 - 7 - -17)?
-5
What is 11 - (7 - (13 + -8) - -11) - 19?
-21
11 - (18 + (-19 - (14 + -31)))
-5
What is the value of 15 + (6 - (22 + -10))?
9
Calculate (3 + (-2 - -1) - -8) + -6.
4
What is 7 + -1 - (12 + -7) - (13 - 3)?
-9
Evaluate 165 - 168 - (1 - (-2 - 1)).
-7
Evaluate (-3 - -13) + (-16 - (-6 + -7 - -6)).
1
What is the value of (17 - 20) + 6 + -12 + 3 - -2?
-4
Evaluate 20 + -16 + 1 + 0 + -7.
-2
What is the value of (36 - 18) + -2 + -15?
1
What is 4 + (-16 - (75 + -68 - (-4 + 0)))?
-23
What is the value of (11 - (24 - 15)) + 9 + -2?
9
Evaluate -17 - (22 - (-5 - -61)).
17
Evaluate -3 - (-3 + (-4 - (0 + -2 + 36))).
38
Calculate 7 - (-1 - (12 + (-9 - 4))).
7
What is the value of -4 + (-384 - -386 - (-16 - (4 - 2)))?
16
5 + 3 + -2 - 3
3
What is 29 + (3 - 42) - 7?
-17
What is the value of (-9 - -20) + 11 - 14?
8
Evaluate 9 - 22 - 14 - -15.
-12
11 - (64 + -75 - (-6 + 2 + -5))
13
(-1 | {
"pile_set_name": "DM Mathematics"
} |
erm in 44, -23, -148, -343, -620, -991, -1468?
-2063
What comes next: -17, -13, 3, 37, 95?
183
What is the next term in -37, -146, -323, -568, -881, -1262, -1711?
-2228
What is next in -17, -24, -37, -56, -81?
-112
What is the next term in -3615, -3620, -3629, -3642, -3659, -3680?
-3705
What comes next: 45, 98, 141, 168, 173?
150
What comes next: 11407, 11409, 11411, 11413, 11415?
11417
What comes next: -50, -81, -120, -173, -246?
-345
What is next in -4, -12, -26, -46?
-72
What comes next: -13, -29, -57, -97, -149, -213, -289?
-377
What comes next: -96, -193, -290, -387?
-484
What is the next term in -7, -15, -25, -37?
-51
What is next in -31, -54, -75, -94, -111, -126, -139?
-150
What is the next term in -54, -62, -72, -84, -98, -114?
-132
What is next in 339, 335, 323, 297, 251, 179, 75?
-67
What is the next term in -5, -51, -137, -269, -453, -695?
-1001
What is next in -18, -5, 16, 45, 82, 127?
180
What is next in 32, 27, 10, -25, -84?
-173
What is the next term in -22, -55, -106, -175?
-262
What is next in 3, -5, -21, -51, -101, -177?
-285
What is the next term in -11539, -11540, -11541?
-11542
What is next in -115, -230, -345?
-460
What comes next: -238, -240, -244, -250, -258, -268, -280?
-294
What is next in -15, -85, -275, -645, -1255, -2165, -3435, -5125?
-7295
What is next in 65, 126, 187?
248
What comes next: -191, -386, -581?
-776
What comes next: -4, -25, -72, -157, -292, -489, -760?
-1117
What comes next: 1613, 3230, 4849, 6470, 8093?
9718
What is the next term in -2241, -2235, -2227, -2217, -2205, -2191?
-2175
What is next in -19, 1, 43, 113, 217, 361, 551, 793?
1093
What comes next: -34, -45, -56, -67?
-78
What is next in -19, -49, -91, -145, -211, -289, -379?
-481
What is the next term in 171, 318, 465, 612, 759?
906
What is the next term in 20, -73, -230, -451?
-736
What is next in -3005, -6011, -9015, -12017, -15017, -18015?
-21011
What is next in 7213, 14421, 21615, 28789, 35937, 43053, 50131?
57165
What is the next term in 93, 185, 273, 357, 437?
513
What comes next: 311, 314, 317, 320?
323
What comes next: -44, -21, 24, 97, 204?
351
What is next in -2073, -2076, -2081, -2088, -2097?
-2108
What is the next term in 128, 262, 396, 530?
664
What comes next: -134, -534, -1192, -2102, -3258?
-4654
What is the next term in 34, 29, 20, 7, -10, -31?
-56
What is next in 6646, 6642, 6636, 6628, 6618, 6606, 6592?
6576
What comes next: 2168, 2200, 2242, 2300, 2380, 2488, 2630?
2812
What is next in 106, 457, 1052, 1897, 2998?
4361
What is the next term in 693, 692, 689, 684?
677
What comes next: 2344, 2343, 2342, 2341?
2340
What comes next: -124, -249, -374, -499, -624?
-749
What is next in 16, 4, -24, -74, -152, -264, -416?
-614
What is the next term in -5, -10, -27, -62, -121, -210?
-335
What is the next term in -10, -30, -90, -208, -402?
-690
What comes next: -21, -4, 23, 60, 107, 164?
231
What is next in 340, 339, 338?
337
What is the next term in 61, 99, 137?
175
What comes next: 8, 4, -10, -40, -92, -172?
-286
What is next in 1093, 1091, 1089, 1087, 1085, 1083?
1081
What is the next term in 60, 124, 176, 210, 220?
200
What is next in -187, -373, -559?
-745
What is next in -22, -61, -120, -199, -298, -417?
-556
What is next in -41, -78, -113, -146, -177, -206?
-233
What is the next term in 158, 327, 496?
665
What is the next term in -1191, -2385, -3581, -4779, -5979, -7181?
-8385
What is the next term in 4, 13, 44, 109, 220, 389?
628
What is the next term in -33, -94, -181, -288, -409?
-538
What is the next term in -178, -139, -98, -55?
-10
What is next in -1105, -1098, -1079, -1042, -981, -890?
-763
What is next in -142, -118, -52, 74, 278?
578
What is the next term in -8243, -8247, -8251, -8255?
-8259
What comes next: 48, 97, 148, 201?
256
What comes next: -15, -20, -31, -48, -71, -100?
-135
What comes next: 24, 31, 24, -3, -56?
-141
What is next in -67, -111, -155, -199?
-243
What is the next term in 54, 66, 84, 108, 138?
174
What is the next term in -108, -204, -292, -372?
-444
What is next in -15, -33, -51, -69, -87?
-105
What is the next term in -2109, -2107, -2105, -2103, -2101, -2099?
-2097
What comes next: -144, -287, -430, -573, -716?
-859
What is the next term in -702, -733, -784, -855, -946, -1057?
-1188
What comes next: 1, 52, 103?
154
What is the next term in 52, 99, 148, 199, 252, 307?
364
What comes next: 4, 62, 154, 274, 416, 574, 742, 914?
1084
What is the next term in -128, -171, -242, -341, -468?
-623
What is next in 30, 117, 262, 465, 726, 1045, 1422?
1857
What is next in -446, -886, -1326, -1766?
-2206
What is next in -37, -75, -147, -265, -441?
-687
What is next in -8, -31, -76, -155, -280, -463, -716, -1051?
-1480
What comes next: 15, 25, 35, 45, 55?
65
What is the next term in -28, -57, -86?
-115
What is the next term in 54, 115, 176, 237?
298
What comes next: -313, -322, -333, -346, -361, -378, -397?
-418
What comes next: 68, 137, 208, 281, 356, 433?
512
What is the next term in -23, -37, -53, -71?
-91
What is the next term in 253, 250, 249, 250, 253, 258, 265?
274
What is next in -349, -347, -345, -343?
-341
What comes next: 2209, 2213, 2219, 2227?
2237
What is next in -765, -760, -755, -750, -745?
-740
What is the next term in -1648, -6603, -14862, -26425, -41292, -59463?
-80938
What is next in -232, -244, -264, -298, -352, -432, -544, -694?
-888
What is next in 41, 153, 337, 593, 921, 1321?
1793
What comes next: 284, 553, 810, 1049, 1264?
1449
What is next in 24, 52, 76, 90, 88, 64, 12?
-74
What is next in -23, -89, -201, -359?
-563
What is the next term in 10, 7, -8, -41, -98, -185?
-308
What is the next term in -1, 4, 11, 20, 31, 44, 59?
76
What is the next term in -175, -344, -511, -676?
-839
What is next in -1398, -1396, -1394?
-1392
What is the next term in 100, 91, 82, 73?
64
What comes next: -36, -38, -40, -42?
-44
What is the next term in -1432, -1435, -1442, -1453, -1468?
-1487
What is the next term in 767, 747, 713, 659, 579, 467?
317
What comes next: -15577, -15575, -15573, -15571, -15569, -15567?
-15565
What is next in -136, -133, -126, -115, -100?
-81
What is next in 18, 54, 92, 132?
174
What is the next term in -31, -72, -103, -118, -111, -76, -7?
102
What is next in 20, -17, -112, -295, -596, -1045, -1672, -2507?
-3580
What is the next term in -60, -186, -528, -1194, -2292, -3930, -6216?
-9258
What is the next term in -55, -83, -111, -139?
-167
What comes next: -17, -4, 9, 16, 11, -12?
-59
What comes next: 9, 19, 29, 39?
49
What is next in 2037, 2036, 2035, 2034, 2033?
2032
What is the next term in 40, 129, 292, 565, 984?
1585
What is next in 20, 43, 66, 89?
112
What comes next: 14, 88, 164, 242, 322?
404
What is the next term in 1193, 1188, 1185, 1184?
1185
What is next in -15, -33, -49, -51, -27, 35, 147?
321
What comes next: -609, -606, -603?
-600
What comes next: -69, -73, -87, -117, -169?
-249
What is next in 18, 19, 26, 39?
58
What is next in -47, -51, -57, -65, -75?
-87
What is the next term in -411, -382, -325, -234, -103, 74, 303?
590
What is next in -6, -36, -126, -306, -606, -1056, -1686, -2526?
-3606
What comes next: -3197, -3204, -3213, -3224, -3237?
-3252
What is next in -246, -954, -2132, -3780?
-5898
What comes next: 23, 21, 19, 17, 15?
13
What is the next term in 29, 56, 83, 110?
137
What comes next: -151, -305, -459, -613, -767?
-921
What is next in 26, 20, 14, 8, 2, -4?
-10
What comes next: 119, 231, 343, 455, 567, 679?
791
What is next in -854, -846, -832, -812, -786?
-754
What is next in -104, -207, -312, -419, -528?
-639
What comes next: 165, 153, 127, 81, 9, -95, -237?
-423
What is next in -1037, -1042, -1051, -1064?
-1081
What is the next term in -2, 62, 234, 568, 1118, 1938?
3082
What is the next term in 1028, 1032, 1036?
1040
What is the next term in 1128, 1129, 1124, 1107, 1072, 1013?
924
What is next in -27806, -27814, -27832, -27866, -27922, -28006?
-28124
What comes next: 897, 1812, 2727, 3642, 4557?
5472
What is the next term in -486, -998, -1510, -2022, -2534?
-3046
What is the next term in 214, 208, 194, 172, 142, 104?
58
What comes next: 6, 12, 20, 24, 18?
-4
What is next in -79, -449, -1455, -3415, -6647, -11469?
-18199
What comes next: 331, 330, 329, 328, 327?
326
What comes next: 24, 38, 54, 72, 92?
114
What is next in -4, -30, -76, -142, -228, | {
"pile_set_name": "DM Mathematics"
} |
.
-3, 2/5, 1, 2
Put -4, 15, 0 in ascending order.
-4, 0, 15
Put -5, 2, 1, -4, -120 in ascending order.
-120, -5, -4, 1, 2
Sort 2, -15, 0, -9, -5 in increasing order.
-15, -9, -5, 0, 2
Sort 2/5, 0, -3 in decreasing order.
2/5, 0, -3
Put 195, 4, 3, -3 in ascending order.
-3, 3, 4, 195
Put -1, 2, 32/653, -3 in decreasing order.
2, 32/653, -1, -3
Sort 4, 1, -3, 143, -2 in increasing order.
-3, -2, 1, 4, 143
Sort -19, -5, 22 in descending order.
22, -5, -19
Put 2/5, 9, -1, 2/3 in decreasing order.
9, 2/3, 2/5, -1
Put -114, -4, 4, 0 in descending order.
4, 0, -4, -114
Sort 5, -1, -51, 16 in increasing order.
-51, -1, 5, 16
Put 3, 2, 5 in ascending order.
2, 3, 5
Put 0.81, -0.3, -3 in increasing order.
-3, -0.3, 0.81
Put 8, -1/8, -1 in decreasing order.
8, -1/8, -1
Put 16, 4, -5, -4 in decreasing order.
16, 4, -4, -5
Sort -5, -1/5, -1, -20, 0.3 in descending order.
0.3, -1/5, -1, -5, -20
Put 21, 2, 0 in ascending order.
0, 2, 21
Sort 0.056, -1, -5, 4 in increasing order.
-5, -1, 0.056, 4
Put 2, -6, -21 in decreasing order.
2, -6, -21
Sort 0, 2, -4, -10, 5 in decreasing order.
5, 2, 0, -4, -10
Sort -6, 6, -3, 1, 10 in descending order.
10, 6, 1, -3, -6
Sort 65/7, -4, 0.4.
-4, 0.4, 65/7
Sort 2048, -4, 4.
-4, 4, 2048
Sort 3/4, 1, -4, -1 in decreasing order.
1, 3/4, -1, -4
Sort -1, -0.4, -122.
-122, -1, -0.4
Sort 0.0269, 4/5, 1, 0 in descending order.
1, 4/5, 0.0269, 0
Put -3, 3, 0 in decreasing order.
3, 0, -3
Sort 2, -0.12, 5.
-0.12, 2, 5
Sort 47, -1/5, 3 in descending order.
47, 3, -1/5
Sort -7, -2/3, -5.
-7, -5, -2/3
Put 3, 0, 4, 1, 31 in increasing order.
0, 1, 3, 4, 31
Sort -4, 5, -9, 3, -26 in decreasing order.
5, 3, -4, -9, -26
Put 0, -42, -3, 2 in ascending order.
-42, -3, 0, 2
Sort 4, -0.02, 1/3, -42.
-42, -0.02, 1/3, 4
Sort -4, 0.3, 4/13 in increasing order.
-4, 0.3, 4/13
Put 0.15, 8, -2/9, 3 in ascending order.
-2/9, 0.15, 3, 8
Sort -0.3, -2.8, -5.
-5, -2.8, -0.3
Put 1, -1, 0, 23 in descending order.
23, 1, 0, -1
Sort -5, 35, -2, 5 in decreasing order.
35, 5, -2, -5
Put 1/5, 3, -5, -767 in ascending order.
-767, -5, 1/5, 3
Put 19, 1/8, 1 in ascending order.
1/8, 1, 19
Sort 2, -4, -77, -2, 0 in increasing order.
-77, -4, -2, 0, 2
Put 5, -4, 0, 2 in increasing order.
-4, 0, 2, 5
Put -5, -18, -2, 3 in increasing order.
-18, -5, -2, 3
Sort -5, -14, 7, -4, 4 in ascending order.
-14, -5, -4, 4, 7
Put -2, 138, 4, -5 in ascending order.
-5, -2, 4, 138
Put 64, -1, 5 in descending order.
64, 5, -1
Sort -5, 2, -3, 1.
-5, -3, 1, 2
Sort -2, 14, 4, -1 in ascending order.
-2, -1, 4, 14
Sort -32, -2, 5, -12 in descending order.
5, -2, -12, -32
Sort 0, 1, -6, 10.
-6, 0, 1, 10
Sort 2, 0, -86 in decreasing order.
2, 0, -86
Sort -3, 5, -1, 30 in increasing order.
-3, -1, 5, 30
Put 2, 3, 7, 0, 18 in descending order.
18, 7, 3, 2, 0
Sort -1/7, -3, 3, 0.12, 4 in decreasing order.
4, 3, 0.12, -1/7, -3
Sort 5, -110, 22 in increasing order.
-110, 5, 22
Put -2/15, 0.2, -1, -2 in increasing order.
-2, -1, -2/15, 0.2
Sort -4, 2, -20 in descending order.
2, -4, -20
Put 2, 5, -73, 0 in descending order.
5, 2, 0, -73
Put 2/143, -5, 1, -2 in ascending order.
-5, -2, 2/143, 1
Put 4, -1, 2/5, 10/7 in increasing order.
-1, 2/5, 10/7, 4
Put -0.3, -229/8, -5/4 in descending order.
-0.3, -5/4, -229/8
Sort -5, 3, -3, 66, 0 in ascending order.
-5, -3, 0, 3, 66
Sort 38, 3, 4, 5.
3, 4, 5, 38
Put -3, -19, -183 in ascending order.
-183, -19, -3
Put -5, 0.1, -3/8, 6, 3/5 in decreasing order.
6, 3/5, 0.1, -3/8, -5
Put 6, -5, 3, 2 in decreasing order.
6, 3, 2, -5
Sort 0.3, -0.3, 36/11, 2 in ascending order.
-0.3, 0.3, 2, 36/11
Put -4/5, -4, 0.5, 0.2, 12 in ascending order.
-4, -4/5, 0.2, 0.5, 12
Put -1, 2, -5, 0 in decreasing order.
2, 0, -1, -5
Sort 17, -12, 4 in ascending order.
-12, 4, 17
Sort -3/142, -24, 3, 0.1 in increasing order.
-24, -3/142, 0.1, 3
Put 11, 5, -2, 17 in decreasing order.
17, 11, 5, -2
Put 5, 2, -2, 9, 0 in decreasing order.
9, 5, 2, 0, -2
Sort 2, -4, -708, 5 in decreasing order.
5, 2, -4, -708
Put 1, -3, -4, 5 in increasing order.
-4, -3, 1, 5
Sort 152, 2, -2 in increasing order.
-2, 2, 152
Put -0.2, -12, 5 in decreasing order.
5, -0.2, -12
Put -2, 0, 23 in descending order.
23, 0, -2
Sort -6/37, 2/11, -4/5 in ascending order.
-4/5, -6/37, 2/11
Sort -0.5, 18, -4, -4/3 in decreasing order.
18, -0.5, -4/3, -4
Sort 9, -36, -1, -3 in ascending order.
-36, -3, -1, 9
Put 13, -2, 17, -3 in decreasing order.
17, 13, -2, -3
Sort -0.03, -16, -1/2, 3.
-16, -1/2, -0.03, 3
Sort 3, -3, 4, -56 in decreasing order.
4, 3, -3, -56
Sort -1, -21, 4, 1, 2 in descending order.
4, 2, 1, -1, -21
Put -2, -0.1, -0.13, 3 in increasing order.
-2, -0.13, -0.1, 3
Put 3/2, 30, -4, 0.05, -0.4 in descending order.
30, 3/2, 0.05, -0.4, -4
Put 1/3, -0.076, -1/7, 11, 0.3 in decreasing order.
11, 1/3, 0.3, -0.076, -1/7
Sort -4, 9, -3, 4 in descending order.
9, 4, -3, -4
Put 2, 2/2627, -3/8 in descending order.
2, 2/2627, -3/8
Sort 4, 25, 5, 3, 2.
2, 3, 4, 5, 25
Put 27, -5, -3, 4 in descending order.
27, 4, -3, -5
Put 0.4, -0.1, -0.2, 298 in increasing order.
-0.2, -0.1, 0.4, 298
Sort 1, -4, 18, 0, 4 in descending order.
18, 4, 1, 0, -4
Sort 0.1, -2/17, 0.4, -0.023.
-2/17, -0.023, 0.1, 0.4
Put -0.02, 0, -112 in ascending order.
-112, -0.02, 0
Put 31, -17, -0.5, 2, 1 in descending order.
31, 2, 1, -0.5, -17
Sort 1/3, -18, -0.1.
-18, -0.1, 1/3
Sort 6, -1, 16, -5, -3 in decreasing order.
16, 6, -1, -3, -5
Sort 0.2, 4, -195, 1.
-195, 0.2, 1, 4
Sort 2/11, 63, -1, -3/5 in decreasing order.
63, 2/11, -3/5, -1
Put -0.38, 2/9, 0.2, 3 in descending order.
3, 2/9, 0.2, -0.38
Put -2, 30, 5, 3, -5 in descending order.
30, 5, 3, -2, -5
Sort 2, -4, -3, 4, -35 in descending order.
4, 2, -3, -4, -35
Sort 48, -10, 4 in increasing order.
-10, 4, 48
Put -4, -2, -1, 72 in descending order.
72, -1, -2, -4
Sort 0, 2, 97, 3 in decreasing order.
97, 3, 2, 0
Sort 5.1, 1/6, -2/5, -4/3, -1/3 in increasing order.
-4/3, -2/5, -1/3, 1/6, 5.1
Sort -1/32, -1/3, 2/11, -0.3, 2/7 in decreasing order.
2/7, 2/11, -1/32, -0.3, -1/3
Sort -1/2, 1/4, 0.2, -0.4 in descending order.
1/4, 0.2, -0.4, -1/2
Sort -0.5, 0.3, -21, 139.
-21, -0.5, 0.3, 139
Put -13, -6, -2, -5 in increasing order.
-13, -6, -5, -2
Sort 2/3, 1/3, 7/30 in descending order.
2/3, 1/3, 7/30
Put -4, 58, -24, 4, 0 in ascending order.
-24, -4, 0, 4, 58
Put -11, 0.4, -6 in decreasing order.
0.4, -6, -11
Sort -5, 11/3, -0.3 in increasing order.
-5, -0.3, 11/3
Sort 1/11, -0.08, 1 in increasing order.
-0.08, 1/11, 1
Sort -2.1, 2/11, -4/27 in descending order.
2/11, -4/27, -2.1
Sort -1, -78, 6 in increasing order.
-78, -1, 6
Sort 63, 0, 2 in descending order.
63, 2, 0
Put 4, -77, -1, 0 in descending order.
4, 0, -1, -77
Put 1184, 5, 1 in descending order.
1184, 5, 1
Put -14, -1, -2, 2, -4 in decreasing order.
2, -1, -2, -4, -14
Sort 3, -3, 430.
-3, 3, 430
Put 4, 0, -46 in descending order.
4, 0, -46
Sort -2, -2/13, -5, -4.
-5, -4, -2, -2/13
Sort 0.97, -4, 1/9, 8 in ascending order.
-4, 1/9, 0.97, 8
Sort 3.43, -1, 2.
-1, 2, 3.43
Sort -68, 27, -3, -2.
-68, -3, -2, 27
Put 0, 3, 61, -3 in descending order.
61, 3, 0, -3
Put -5, -3, -4, 3 in decreasing order.
3, -3, -4, -5
Sort -1, 0.03, -5, -11 in descending order.
0.03, -1, -5, -11
Put -6, 5, 0, -3 in decreasing order.
5, 0, -3, -6
Sort -5, -3, 3, 8 in increasing order.
-5, -3, 3, 8
Put -2, -34, 2/5 in decreasing order.
2/5, -2, -34
Sort -1/5, 1, 534, 2 in ascending order.
-1/5, 1, 2, 534
Sort 11, -13, -2, -4 in ascending order.
-13, -4, -2, 11
Sort -457, 1, -5, 18 in ascending order.
-457, -5, 1, 18
Put 1, -3/5, -4/9, 0.03 in ascending order.
-3/5, -4/9, 0.03, 1
Put -4, 2, 339 in descending order.
339, 2, -4
Put -0.1, -1, -0.3, -5/21 in decreasing order.
-0.1, -5/21, -0.3, -1
Sort 1, -5, 56, -2 in ascending order.
-5, -2, 1, 56
Sort -1, -3, -12, 12 in descending order.
12, -1, -3, -12
Put -14, 42, -1/4, -4 in increasing order.
-14, -4, -1/4, 42
Put 1/4, -2/5, 21, -7 in increasing order.
-7, -2/5, 1/4, 21
Put 5, 10, -2, -5 in descending order.
10, 5, -2, -5
Put 33, -3, 1, 2 in decreasing order.
33, 2, 1, -3
Sort -4/3, -0.6, -5, -1 in ascending order.
-5, -4/3, -1, -0.6
Sort 4, -20, -1, -3.
-20, -3, -1, 4
Put 2, 15, 0.2, -0.12 in increasing order.
-0.12, 0.2, 2, 15
Put 4, 0, 2, -3 in decreasing order.
4, 2, 0, -3
Sort 10, -3, -4, 0.05 | {
"pile_set_name": "DM Mathematics"
} |
).
27*t**2
Let m(b) = 16*b**2. Let x(n) = 3*n**2 + 4*n + 8. Let g(y) = 4*y**2 + 5*y + 10. Let r(c) = -4*g(c) + 5*x(c). Give r(m(o)).
-256*o**4
Let i(p) = -18*p - 2. Let x(h) = 8*h + 8*h + 3*h - 25*h. What is i(x(z))?
108*z - 2
Let f(w) = -5*w. Let y = -30 - -33. Let g(k) = 2*k + k + 4*k - y*k. Give g(f(r)).
-20*r
Let c(i) = -3*i**2. Let a(m) = -302*m + 8. Let r be a(-6). Suppose l + 4*l - r = 0. Let z(t) = l*t + 2*t**2 - 364*t. Determine z(c(d)).
18*d**4
Let t(r) = -3*r**2. Let z = -652 + 655. Let a(n) be the first derivative of 0*n**2 - 2/3*n**z - 6 + 0*n. Determine t(a(x)).
-12*x**4
Let w(q) = 3*q - 2. Suppose 0 = -4*f - 21 - 3. Let i(y) = y - 1. Let l(b) = f*i(b) + 3*w(b). Let v(s) = -3*s**2. Calculate l(v(g)).
-9*g**2
Let r(j) = 5*j. Let p(y) = -y. Let a(i) = -2*p(i) - r(i). Let s(k) be the first derivative of -2*k**2 + 4. Give a(s(n)).
12*n
Let v(o) = 1131*o + 1867. Let i(d) = -3*d. Calculate v(i(x)).
-3393*x + 1867
Suppose -k + 3*k - 10 = 0. Let z(f) = -6*f + k*f + 23*f + 10*f. Let l(g) = -g**2. Determine z(l(d)).
-32*d**2
Let m(f) = 16013*f. Let y(v) = -v. Determine y(m(o)).
-16013*o
Let w(x) = 72*x + 3. Let c(k) = 2*k**2 - 132*k. Determine w(c(u)).
144*u**2 - 9504*u + 3
Let i(v) = -10*v**2. Let d(u) = 7*u - 8. Let b(k) = -2. Let q(m) = 6*b(m) - d(m). Calculate q(i(o)).
70*o**2 - 4
Let v(g) = 136*g - 15. Let p(n) = -n**2. Determine p(v(j)).
-18496*j**2 + 4080*j - 225
Let g(i) = -11*i**2. Let o(t) = 13089*t**2. Determine o(g(a)).
1583769*a**4
Let a(b) = 5766*b**2. Let g(t) = 6*t**2. Give g(a(u)).
199480536*u**4
Let l(n) be the third derivative of n**5/30 + 50*n**2 + 1. Let c(a) = 3*a. Give l(c(p)).
18*p**2
Let r(o) be the second derivative of -o**3/2 - 2*o + 68. Let k(u) = -u + 0*u - 4*u. Calculate k(r(x)).
15*x
Let v(m) be the second derivative of -5*m**3/6 - m + 11. Let t(c) = 62*c**2. Determine t(v(j)).
1550*j**2
Let v(u) = -2*u**2 - 277 - 2*u**2 + 277. Let s(m) = 20*m**2. Calculate s(v(k)).
320*k**4
Let k(m) be the third derivative of 17*m**5/30 + 2*m**2 - 38*m. Let z(o) = 0*o**2 + 5*o**2 - o**2 - 2*o**2. Calculate k(z(r)).
136*r**4
Let v(z) be the third derivative of -7*z**5/60 - 3*z**2. Let j(q) = 76 - 76 - 3*q - q. Calculate v(j(u)).
-112*u**2
Let b(r) = 1629 - 787 + 2*r - 842. Let c be 2/(-7) - (-132)/21. Let v(i) = c*i - i + i. Determine v(b(d)).
12*d
Let a(q) = -83*q + 2. Let x(k) = -6*k. What is a(x(l))?
498*l + 2
Let h(t) = -57*t**2. Let g(l) = -6*l**2 + 4*l + 8. Let u(y) = 19*y**2 - 14*y - 28. Let p(x) = 21*g(x) + 6*u(x). Determine h(p(r)).
-8208*r**4
Let l(n) be the first derivative of 47*n**2/2 + 270. Let y(r) = 5*r. Determine l(y(o)).
235*o
Let h(n) be the first derivative of n**2/2 - n - 3. Let u(v) = 7*v - 6. Let k(y) = 6*h(y) - u(y). Let r(m) = 2*m**2. Give r(k(w)).
2*w**2
Let y(t) = -18*t**2 - 14*t**2 + 12*t**2. Let v(z) = -475 - 6*z**2 + 4*z**2 + 475. Give y(v(r)).
-80*r**4
Let j(w) = 4*w**2 - 2*w - 2. Suppose 0*m + m + v - 1 = 0, 4*v = 3*m + 11. Let n be j(m). Let r(c) = 2*c**2 + n*c**2 + 2*c**2. Let a(x) = x. Determine a(r(l)).
8*l**2
Let p(q) = -5*q**2 + 16*q. Let s(u) = 3*u**2 - 10*u. Let d(t) = 5*p(t) + 8*s(t). Let o(x) = -32*x. Determine d(o(r)).
-1024*r**2
Let b(f) = -12*f**2. Let n(i) = -3*i**2 + 2*i. Let g(x) = -13*x**2 + 20 + 9*x - 20. Let o(y) = 2*g(y) - 9*n(y). Determine o(b(w)).
144*w**4
Let r(c) be the first derivative of -c**4/3 + c + 5. Let b(g) be the first derivative of r(g). Let u(s) = -s**2. Give u(b(v)).
-16*v**4
Let k(y) be the third derivative of 0*y**3 + 19*y**2 + 0 + 3/8*y**4 + 0*y. Let x(l) = -l. Let t(i) = 2*i. Let g(b) = -2*t(b) - 5*x(b). Give k(g(d)).
9*d
Let x(q) = q - 2*q - q. Let o(l) = 60*l**2 + 343*l. Let g(a) = 20*a**2 + 98*a. Let h(n) = 7*g(n) - 2*o(n). Give x(h(t)).
-40*t**2
Let x(a) = 2*a**2. Let g(s) = 11303*s - 19. Give g(x(m)).
22606*m**2 - 19
Let f(j) = 0*j - 10*j - 12*j**2 + 10*j. Let s(a) be the first derivative of -a**6/180 + a**3/3 - 2. Let l(r) be the third derivative of s(r). Calculate l(f(k)).
-288*k**4
Let s(x) = -7*x. Let j(h) = 41*h. Determine s(j(w)).
-287*w
Let a(s) = -s**2. Let r(d) be the second derivative of 25*d**3/6 - 93*d + 2. Determine r(a(c)).
-25*c**2
Let z(o) be the third derivative of -o**5/30 - o**2. Let a(h) = -236*h**2 + 128*h**2 + 111*h**2. Calculate a(z(w)).
12*w**4
Let o(h) = 6*h. Let q be (-2 + -2 + 23)*1. Let d = q - 14. Let s(z) = 3*z + 2*z + 2*z - d*z. Determine s(o(c)).
12*c
Let f(x) = -13693*x**2. Let t(h) = -14*h**2. What is f(t(l))?
-2683828*l**4
Let u(o) = -5*o. Let d(r) = -4*r**2 - 5*r + 5. Let k(c) = -c**2 + c - 1. Let b(j) = d(j) + 5*k(j). Determine u(b(n)).
45*n**2
Let o(h) = -11*h. Let y(c) = -2*c**2 + 19. Determine y(o(k)).
-242*k**2 + 19
Let c(x) = -3*x. Suppose 3*d + 2843 = 5*m, -3*d = 7 - 4. Let f(y) = -m - 29*y**2 + 568. Calculate f(c(v)).
-261*v**2
Let t(b) = 2 - 2 + b. Let j(c) = c - 1. Let h(r) = 11*r - 9. Let a(n) = 16*n - 13. Let d(q) = -5*a(q) + 7*h(q). Let k(l) = -d(l) - 2*j(l). Determine k(t(z)).
z
Let g(t) = t**2. Let v(j) = 1244*j**2 - 2*j - 2546*j**2 + 1239*j**2 + 2*j. Give g(v(y)).
3969*y**4
Let w(d) = 214*d**2 + 202*d**2 - 317*d**2. Let p(s) = -s**2. Calculate w(p(u)).
99*u**4
Let a(d) = 25 - 44 - 2*d**2 + 19. Let z(l) = -195*l**2 + l. Determine z(a(r)).
-780*r**4 - 2*r**2
Let b(f) be the second derivative of 0*f**2 - 13/3*f**3 - 6*f + 7. Let p(y) = 2 - 2*y - 2. Give b(p(g)).
52*g
Let q(b) = -27127 + 27127 - 3*b. Let n(s) = 4*s + 2. Give n(q(t)).
-12*t + 2
Let t(s) = -159*s - 103*s + 235*s. Let r(f) = -6*f. Determine t(r(q)).
162*q
Let x be (-3)/(-4) + 66/8. Let s(q) = 3*q - 9 + x - 6*q. Let h(z) = -2*z - 3. Let k(d) = 3*d + 2. Let u(l) = -2*h(l) - 3*k(l). Determine s(u(c)).
15*c
Let j(k) = 6*k. Let p(q) = 206*q. Calculate p(j(y)).
1236*y
Let j(g) = g**2. Let p(u) = 17*u - 4. Let r(f) = 42*f - 10. Let t(b) = 12*p(b) - 5*r(b). Let a(n) = 6*n - 3. Let c(q) = 4*a(q) + 6*t(q). Determine j(c(l)).
144*l**2
Let c(t) = -t. Let u(a) = a. Suppose -3*m + 12 = 2*w, 0*m - 2*m + 8 = 3*w. Let s(n) = m*u(n) + 5*c(n). Let i(r) = -58*r**2. What is i(s(b))?
-58*b**2
Suppose 0 = -y + 6 - 1. Suppose -5*l + w = 5*w - 37, y*l + 3*w - 34 = 0. Let g(z) = -6*z + 18*z + l*z. Let b(d) = 2*d**2. Give g(b(m)).
34*m**2
Let k(n) = 8*n**2. Suppose -5*z = -24 - 1, -5*x + 210 = 3*z. Let f = -25 + x. Let c(r) = -23*r + 10*r + f*r. Determine c(k(h)).
8*h**2
Let o(g) = g. Let s(d) = 3*d. Let y(n) = 9*o(n) - 4*s(n). Let t(l) be the third derivative of 1/6*l**4 + 14*l**2 + 0 + 0*l**3 + 0*l. Determine y(t(x)).
-12*x
Let o(p) = -69*p. Let g(c) = -178*c - 32. Calculate o(g(m)).
12282*m + 2208
Let z be (-30)/50 + 56/10. Let u(y) = 4*y - y + z*y - y. Let t(x) = x. What is t(u(j))?
7*j
Let d be 7 + (-3 - -4)*-1. Let h(l) = -d*l + 4*l + 2*l - l. Let i(a) = 15*a**2. Calculate i(h(v)).
15*v**2
Let s(g) = 7*g. Let w(b) = -11357*b. Determine s(w(q)).
-79499*q
Suppose -4*q = -3*n + 1, -5*q = 5*n - 20 - 5. Let k(o) = 5*o - 7*o + o - q*o. Let g(h) = -4*h**2. Determine k(g(i)).
12*i**2
Let q(y) = -2*y. Let o(s) = -9*s**2 - 22511*s. Give q(o(l)).
18*l**2 + 45022*l
Let b(q) = 49*q - 1. Let t(g) = -3824*g + 2*g**2 + 3824*g. Determine b(t(m)).
98*m**2 - 1
Let x(w) = -2*w**2. Let s(m) be the first derivative of 6 - 29/2*m**2 + 2*m. Give x(s(z)).
-1682*z**2 + 232*z - 8
Let c(t) = -7*t - 6. Let h(l) = -6*l - 5. Let z(v) = -5*c(v) + 6*h(v). Let x(u) = 7*u + u - 2*u. Calculate z(x(r)).
-6*r
Let v(k) = -2*k. Let q(w) = 731*w. Calculate q(v(d)).
-1462*d
Let s(i) = 3*i**2 + 55*i. Let l(u) = 2*u - 31. Determine l(s(a)).
6*a**2 + 110*a - 31
Let t(o) = -101*o + 1. Let v(p) = -2*p**2 - 9. Determine t(v(u)).
202*u**2 + 910
Let w(z) = -2*z**2. Let p(g) = 3*g + 38*g + 13026 - 13026. Calculate p(w(d)).
-82*d**2
Let r(w) = 4*w. Let a(b) = -258*b**2. Calculate r(a(k)).
-1032*k**2
Let o(k) = -8180*k. Let j(w) = 7*w**2 - 18*w. Give j(o(z)).
468386800*z**2 + 147240*z
Let a(q) = 2558*q + 9. Let l(c) = -22*c. Determine l(a(p)).
-56276*p - 198
Let a(l) be the second derivative of -l**3/3 - 986*l. Let x(h) be the second derivative of -11*h**3 + h. What is x(a(j))?
132*j
Let u(a) = -2*a. Let r be (-5)/(-15) + 100/6. Let x(g) = -r*g - 23*g + 41*g. Determine u(x(q)).
-2*q
Let m(u) = -201*u - 3. Let p(r) = -524*r**2 + 2*r. Determine m(p(c)).
105324*c**2 - 402*c - 3
Let z(m) = -4*m. Let r(b) be the | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from {z: 4, o: 7}.
14/55
Two letters picked without replacement from ufvxkke. What is prob of sequence uv?
1/42
Calculate prob of sequence ee when two letters picked without replacement from xxxxxxexxxxxe.
1/78
Calculate prob of sequence oz when two letters picked without replacement from zzozozzzozz.
12/55
What is prob of sequence nn when two letters picked without replacement from nnznnnzznzzznnzzzn?
4/17
Three letters picked without replacement from {q: 1, k: 2}. What is prob of sequence kkq?
1/3
Four letters picked without replacement from hhvyhvhvvv. What is prob of sequence hvvv?
1/21
Two letters picked without replacement from {p: 1, u: 1, o: 1}. What is prob of sequence op?
1/6
Calculate prob of sequence qo when two letters picked without replacement from {j: 2, q: 1, o: 1}.
1/12
Four letters picked without replacement from {s: 2, l: 9, e: 5, b: 3}. Give prob of sequence esbe.
5/3876
Four letters picked without replacement from {a: 1, t: 3, h: 1, b: 5, d: 6, z: 3}. Give prob of sequence tzbz.
5/5168
Two letters picked without replacement from {v: 1, r: 12, k: 1, h: 1}. What is prob of sequence rh?
2/35
Four letters picked without replacement from mmpmmmmmmmmpm. What is prob of sequence pmmm?
3/26
Calculate prob of sequence wfc when three letters picked without replacement from wfuweeuecwwueue.
2/1365
Four letters picked without replacement from {v: 1, j: 2, w: 3, p: 1, h: 3}. What is prob of sequence hhvh?
1/840
What is prob of sequence xg when two letters picked without replacement from {y: 1, g: 2, x: 1, l: 1}?
1/10
What is prob of sequence rso when three letters picked without replacement from {w: 1, s: 2, z: 1, o: 1, t: 1, r: 1}?
1/105
Three letters picked without replacement from wuwwwweewwwu. What is prob of sequence wue?
4/165
Calculate prob of sequence kqqp when four letters picked without replacement from {p: 2, k: 3, m: 2, y: 6, q: 2, r: 2}.
1/4760
Calculate prob of sequence ba when two letters picked without replacement from duabataaaauaab.
8/91
Three letters picked without replacement from farrugngauaugarru. Give prob of sequence ggg.
1/680
Three letters picked without replacement from qqq. Give prob of sequence qqq.
1
Calculate prob of sequence lt when two letters picked without replacement from {t: 5, l: 3}.
15/56
Two letters picked without replacement from {g: 3, q: 1, u: 5, y: 3}. Give prob of sequence uq.
5/132
Two letters picked without replacement from {g: 2, j: 1, m: 1, e: 2, f: 1}. What is prob of sequence jm?
1/42
Four letters picked without replacement from yyymyyyymymyyymymy. What is prob of sequence ymym?
13/306
What is prob of sequence rryr when four letters picked without replacement from {r: 3, v: 3, g: 3, k: 2, f: 1, y: 3}?
1/1820
What is prob of sequence xb when two letters picked without replacement from {b: 11, t: 3, x: 1}?
11/210
Calculate prob of sequence nll when three letters picked without replacement from nll.
1/3
What is prob of sequence su when two letters picked without replacement from {s: 3, j: 4, i: 1, u: 2}?
1/15
What is prob of sequence gwl when three letters picked without replacement from {w: 5, c: 2, n: 1, g: 3, l: 5}?
5/224
Four letters picked without replacement from ipipddcppppc. Give prob of sequence cdcd.
1/2970
What is prob of sequence tttj when four letters picked without replacement from kjtkjkttttttkj?
15/572
What is prob of sequence mmc when three letters picked without replacement from {m: 9, c: 7}?
3/20
Four letters picked without replacement from {w: 10, p: 2}. Give prob of sequence wpww.
4/33
Two letters picked without replacement from unjjuq. Give prob of sequence jq.
1/15
Three letters picked without replacement from {a: 7, s: 7}. What is prob of sequence sss?
5/52
Two letters picked without replacement from {w: 1, g: 1, z: 2, h: 1}. Give prob of sequence gw.
1/20
What is prob of sequence le when two letters picked without replacement from lejllllzglllellmlzll?
13/190
Two letters picked without replacement from ppyjnppyjn. Give prob of sequence pn.
4/45
Two letters picked without replacement from {d: 1, l: 5, j: 1, b: 3}. What is prob of sequence bl?
1/6
Three letters picked without replacement from {e: 3, j: 6, f: 1, l: 4}. What is prob of sequence jje?
15/364
Three letters picked without replacement from hrtma. What is prob of sequence ram?
1/60
What is prob of sequence ddq when three letters picked without replacement from goooodyqogoogqood?
1/1020
Two letters picked without replacement from {u: 1, k: 2, t: 1, o: 2}. Give prob of sequence to.
1/15
Three letters picked without replacement from gixigpsxrxiisx. What is prob of sequence ggp?
1/1092
Calculate prob of sequence ybwo when four letters picked without replacement from {w: 5, b: 1, y: 2, k: 1, o: 1}.
1/504
What is prob of sequence wwiw when four letters picked without replacement from jbisissbwjwssswij?
3/9520
Calculate prob of sequence qcq when three letters picked without replacement from {v: 5, c: 3, q: 7, t: 1}.
3/80
Two letters picked without replacement from {c: 11, i: 4, t: 2, z: 2}. What is prob of sequence cc?
55/171
Calculate prob of sequence nrrr when four letters picked without replacement from {r: 3, n: 8}.
1/165
Calculate prob of sequence rese when four letters picked without replacement from eerreeeefefefsrfs.
1/170
Three letters picked without replacement from {n: 5, r: 7, j: 8}. What is prob of sequence rjn?
7/171
Calculate prob of sequence dk when two letters picked without replacement from {d: 1, h: 2, k: 1}.
1/12
Two letters picked without replacement from aeee. Give prob of sequence ea.
1/4
Calculate prob of sequence phh when three letters picked without replacement from hzphzzphh.
1/21
Three letters picked without replacement from ooss. Give prob of sequence oos.
1/6
Calculate prob of sequence ca when two letters picked without replacement from {r: 5, c: 5, a: 1}.
1/22
Calculate prob of sequence zy when two letters picked without replacement from yuweeeezey.
1/45
Calculate prob of sequence jlv when three letters picked without replacement from jlkzzjzjzkzvkik.
1/910
Calculate prob of sequence co when two letters picked without replacement from oococcoococc.
3/11
What is prob of sequence tkl when three letters picked without replacement from lltknlkdl?
1/63
What is prob of sequence cx when two letters picked without replacement from {x: 5, d: 8, c: 3}?
1/16
Four letters picked without replacement from {k: 1, r: 1, c: 2, g: 2}. Give prob of sequence ckcc.
0
What is prob of sequence uyyy when four letters picked without replacement from yyuyyyuyyyyyuyyyyu?
91/765
Three letters picked without replacement from taacatateaetatatt. Give prob of sequence ate.
49/2040
Three letters picked without replacement from qyozoq. Give prob of sequence qqo.
1/30
Two letters picked without replacement from {g: 1, c: 1, a: 3}. Give prob of sequence ag.
3/20
Calculate prob of sequence jmh when three letters picked without replacement from mhjhhhmj.
1/21
Four letters picked without replacement from uuuzuuuuuuuuzzuzzuuu. What is prob of sequence uzzz?
5/646
Four letters picked without replacement from {r: 4, d: 4, a: 6, x: 1}. What is prob of sequence ddar?
4/455
Three letters picked without replacement from {x: 3, z: 3, d: 5}. Give prob of sequence xzz.
1/55
What is prob of sequence zz when two letters picked without replacement from zjjjzzjzzzzj?
7/22
Calculate prob of sequence bv when two letters picked without replacement from {v: 1, p: 2, b: 2, z: 1, l: 2}.
1/28
Three letters picked without replacement from szsesnsslzzszddzs. Give prob of sequence esl.
7/4080
Calculate prob of sequence orr when three letters picked without replacement from zoopopuobzpr.
0
Four letters picked without replacement from jjioijijjiioi. Give prob of sequence ioio.
1/286
What is prob of sequence ddw when three letters picked without replacement from {d: 5, w: 7}?
7/66
What is prob of sequence ta when two letters picked without replacement from ataaaaaatt?
7/30
Four letters picked without replacement from oyqqqeqoqyqqq. What is prob of sequence yqoe?
4/2145
Four letters picked without replacement from jjjrrmr. What is prob of sequence rjjj?
3/140
Two letters picked without replacement from {o: 11, b: 3}. What | {
"pile_set_name": "DM Mathematics"
} |
se 5
-142210
What is -46643 (base 7) in base 8?
-27323
-40321 (base 7) to base 10
-9766
23024 (base 5) to base 9
2221
-2314 (base 6) to base 16
-226
What is 2310 (base 12) in base 9?
5313
-22130 (base 4) to base 2
-1010011100
Convert 23110 (base 4) to base 15.
334
What is 654 (base 10) in base 12?
466
Convert 4927 (base 11) to base 13.
2c17
What is -3621 (base 9) in base 4?
-222010
Convert 53050 (base 10) to base 8.
147472
4551 (base 7) to base 13
9a2
-14345 (base 6) to base 9
-3132
Convert -111133 (base 4) to base 5.
-21000
-3130131 (base 4) to base 13
-6564
Convert 1000010100011111 (base 2) to base 9.
51665
What is 54323 (base 7) in base 16?
34e5
10432 (base 5) to base 2
1011100110
Convert 10055 (base 8) to base 10.
4141
15 (base 15) to base 9
22
What is -20022200 (base 3) in base 2?
-1001000000000
-214 (base 15) to base 13
-2a1
Convert 10302 (base 4) to base 14.
17c
4134 (base 5) to base 15
264
Convert 474 (base 13) to base 9.
1046
What is -201122011 (base 3) in base 6?
-150134
-199 (base 13) to base 12
-207
-10001111 (base 2) to base 11
-120
What is -1506 (base 7) in base 8?
-1122
What is 126 (base 16) in base 9?
356
Convert 111000 (base 2) to base 11.
51
-c2 (base 15) to base 11
-156
Convert 4ff (base 16) to base 6.
5531
Convert 14930 (base 10) to base 3.
202110222
101110010111 (base 2) to base 13
1473
Convert 11111101111010 (base 2) to base 13.
7520
Convert 143663 (base 7) to base 14.
a1a3
What is -3310000 (base 4) in base 16?
-3d00
-32111 (base 4) to base 3
-1020222
-5a6 (base 13) to base 2
-1111010101
What is -16e (base 15) in base 13?
-1c4
What is 16385 (base 10) in base 16?
4001
Convert -658 (base 15) to base 9.
-1862
What is 1 (base 3) in base 14?
1
Convert 1203 (base 12) to base 10.
2019
Convert -11a2 (base 11) to base 7.
-4363
Convert 1544 (base 12) to base 16.
9c4
-2144 (base 5) to base 16
-12b
What is 12013231 (base 4) in base 3?
1021101111
Convert 13157 (base 8) to base 4.
1121233
Convert -3104 (base 5) to base 15.
-1be
Convert -2321 (base 4) to base 6.
-505
-920 (base 12) to base 7
-3564
Convert a4ba (base 12) to base 2.
100011001001110
Convert -3080 (base 13) to base 10.
-6695
Convert -44314 (base 6) to base 7.
-23656
What is -1773 (base 13) in base 6?
-24030
Convert -98 (base 10) to base 2.
-1100010
454a (base 13) to base 12
573b
ca (base 14) to base 11
152
What is 289 (base 13) in base 3?
121201
Convert 441 (base 9) to base 3.
111101
What is -23113102 (base 4) in base 3?
-2100211221
Convert 1010 (base 10) to base 15.
475
What is -20110221 (base 3) in base 5?
-122343
Convert 153b (base 14) to base 12.
2229
What is 1a2 (base 16) in base 5?
3133
50145 (base 6) to base 14
2557
3113300 (base 5) to base 9
77050
-5444 (base 7) to base 11
-1507
What is -479 (base 16) in base 3?
-1120102
What is -123 (base 14) in base 8?
-343
Convert -5005 (base 7) to base 14.
-8ac
Convert -425 (base 12) to base 7.
-1523
Convert -37c (base 16) to base 10.
-892
Convert -2206 (base 8) to base 12.
-806
Convert -414 (base 7) to base 11.
-179
Convert -3509 (base 14) to base 3.
-110122112
What is 1000110000011110 (base 2) in base 10?
35870
What is -700 (base 10) in base 7?
-2020
What is 2364 (base 12) in base 9?
5384
-8c8 (base 14) to base 8
-3320
What is -2f (base 16) in base 14?
-35
-1344353 (base 6) to base 16
-1298d
What is 1145c (base 15) in base 11?
38349
Convert -13324 (base 10) to base 6.
-141404
Convert -3d15 (base 15) to base 13.
-5c45
-30c (base 15) to base 8
-1257
-842 (base 16) to base 14
-ab0
Convert 1101001100 (base 2) to base 5.
11334
Convert 260321 (base 8) to base 13.
3215a
22600 (base 9) to base 12
8876
327a (base 12) to base 3
21122011
What is 31332 (base 4) in base 3?
1020010
What is -13468 (base 12) in base 10?
-26576
-235563 (base 7) to base 4
-22131012
What is -14 (base 6) in base 16?
-a
Convert 1f9 (base 16) to base 2.
111111001
What is -140 (base 13) in base 15?
-eb
What is -113324 (base 6) in base 10?
-9844
35 (base 6) to base 3
212
Convert -10132 (base 4) to base 5.
-2121
What is 113153 (base 6) in base 5?
303124
-270 (base 12) to base 6
-1420
48a (base 14) to base 10
906
-44442 (base 8) to base 6
-222402
Convert -1243240 (base 5) to base 12.
-12444
Convert 723 (base 9) to base 7.
1500
What is -1010101010 (base 2) in base 11?
-570
Convert c46 (base 13) to base 15.
941
232 (base 12) to base 14
194
What is 33456 (base 7) in base 11?
63aa
111 (base 16) to base 14
157
-1393a (base 16) to base 7
-452531
4472 (base 9) to base 11
2535
-13022 (base 4) to base 9
-558
877 (base 12) to base 16
4db
What is -3b3 (base 14) in base 6?
-3241
Convert 192e (base 15) to base 8.
12504
What is 215055 (base 6) in base 13?
823a
3253 (base 9) to base 15
a9c
Convert -41e (base 15) to base 9.
-1242
What is 5262 (base 8) in base 7?
10661
-10c2c (base 15) to base 16
-d077
3247 (base 10) to base 11
2492
-73 (base 15) to base 16
-6c
What is -555 (base 15) in base 10?
-1205
What is -27100 (base 8) in base 12?
-6a28
What is 10b2 (base 16) in base 7?
15314
-10000001000011 (base 2) to base 4
-2001003
What is -5742 (base 9) in base 7?
-15251
b7a8 (base 12) to base 3
1000122002
-8550 (base 9) to base 4
-1202022
What is 2f (base 16) in base 15?
32
Convert 180a (base 12) to base 11.
2198
Convert 3022 (base 7) to base 5.
13140
101221210 (base 3) to base 4
1330302
Convert 2430312 (base 5) to base 11.
31382
What is 152f (base 16) in base 8?
12457
What is -1252 (base 8) in base 15?
-307
Convert -14123 (base 5) to base 13.
-6b6
Convert -20251 (base 11) to base 2.
-111001110001100
-25223 (base 10) to base 7
-133352
-ac (base 16) to base 5
-1142
Convert -1c3 (base 14) to base 7.
-1033
2013 (base 6) to base 4
12321
3303 (base 5) to base 9
553
What is 1050 (base 8) in base 14?
2b6
-720 (base 8) to base 12
-328
-153 (base 13) to base 3
-22210
What is -6338 (base 15) in base 14?
-7906
476 (base 15) to base 4
33303
Convert -1001100001 (base 2) to base 8.
-1141
Convert 4043 (base 7) to base 11.
1066
17599 (base 14) to base 13
20975
What is 856b (base 12) in base 13?
6872
What is 204 (base 15) in base 5?
3304
What is 334 (base 10) in base 4?
11032
-33001 (base 4) to base 5
-12321
Convert -10248 (base 12) to base 10.
-21080
Convert 14413 (base 5) to base 9.
1620
Convert -1da (base 16) to base 7.
-1245
-79e (base 16) to base 11
-1513
What is 21221 (base 3) in base 6?
554
What is -b31 (base 15) in base 7?
-10231
-70238 (base 9) to base 13
-17cc0
Convert 63bd (base 14) to base 6.
211415
40d (base 16) to base 13
61a
-33165 (base 7) to base 10
-8328
-7320 (base 16) to base 15
-8aec
What is 1444 (base 8) in base 2?
1100100100
a146 (base 11) to base 12
7975
Convert 11505 (base 8) to base 13.
2326
Convert -11321211 (base 4) to base 2.
-101111001100101
Convert 4b1b (base 15) to base 4.
3322001
What is -3ba7 (base 12) in base 7?
-26050
1000110001000 (base 2) to base 16
1188
What is 5256 (base 8) in base 15?
c24
What is 1433 (base 5) in base 9?
300
What is 614 (base 9) in base 16?
1f3
Convert -496 (base 11) to base 10.
-589
Convert 110001010110 (base 2) to base 7.
12131
Convert 3ba (base 13) to base 15.
2e0
210c1 (base 13) to base 9
100524
79 (base 14) to base 7
212
What is 12002220 (base 3) in base 4?
322023
Convert 111000111010 (base 2) to base 4.
320322
-1239 (base 16) to base 11
-3561
Convert 2021200 (base 3) to base 2.
11010000001
What is 24025 (base 6) in base 12?
2015
Convert 3002314 (base 5) to base 7.
254431
Convert -5504 (base 6) to base 8.
-2360
What is -12501 (base 6) in base 4?
-131311
803b (base 12) to base 16
362f
What is -453 (base 6) in base 10?
-177
5285 (base 14) to base 4
3132111
-1012020 (base 3) to base 13
-51c
Convert 1101010001110111 (base 2) to base 10.
54391
-20331 (base 7) to base 8
-11553
What is 10306 (base 8) in base 4?
1003012
111003 (base 5) to base 10
3878
Convert -341061 (base 7) to base 14.
-18031
Convert -4533 (base 6) to base 12.
-749
What is 2330231 (base 4) in base 11?
908a
Convert 12021 (base 6) to base 8.
3315
What is 329 (base 15) in base 3?
222110
-212233 (base 4) to base 7
-10141
Convert 9362 (base 16) to base 2.
1001001101100010
Convert -11100000111 (base 2) to base 8.
-3407
Convert -102020301 (base 4) to base 9.
-122813
What is 3515 (base 11) in base 8?
11006
What is 1a1ab (base 12) in base 15?
b52b
127b (base 14) to base 11
2490
1001110222 | {
"pile_set_name": "DM Mathematics"
} |
*y**2 + 2*y - 3. Let b be v(5). Suppose -q - b = -4*q. What are the prime factors of q?
19
Let l(z) = -z**3 + 2*z**2 + 3*z - 3. Let p be l(2). Suppose -p*v + 345 = 2*v. Suppose 4*r + 13 = v. List the prime factors of r.
2, 7
Suppose 5*u - 1806 = -101. List the prime factors of u.
11, 31
Let a(q) = q**3 - 10*q**2 - 8*q - 16. What are the prime factors of a(11)?
17
Let l be 0 - (0 - 2) - -8. Let b(r) = r**3 - 3*r**2 + r - 2. Let k be b(3). Suppose -l = -a - k. What are the prime factors of a?
3
Let s = -19 + 21. Let u = s + 13. List the prime factors of u.
3, 5
Suppose -4*z + 5 = -7. Let q(n) = -n + 1. Let o be q(z). What are the prime factors of (-57)/(-4) - o/(-8)?
2, 7
Let u = -57 - -67. List the prime factors of u.
2, 5
Suppose 0 = -5*z - y + 5, 0 = -4*z - 4*y + y + 4. Let t = 0 + z. List the prime factors of (-4)/(-2) - -11*t.
13
Let a(n) = n**3 + 14*n**2 + 13*n + 13. Let v be a(-13). Suppose -c = c - 14. Let t = v - c. What are the prime factors of t?
2, 3
Let c = -5 + 8. Suppose v = -c*v + 36. List the prime factors of v.
3
Let d(o) = 6*o - 2. Let a(j) = j - 1. Let m(w) = -5*a(w) + d(w). Let v be m(-5). What are the prime factors of 1 + 6 + 0 - v?
3
Let g(v) be the third derivative of 13*v**4/24 - 4*v**2. List the prime factors of g(3).
3, 13
Let j be 68/20 - 2/5. Suppose -a - 6 = -2*a - l, 2*l - 22 = -j*a. Suppose d + d - a = 0. List the prime factors of d.
5
Suppose 0 = -8*z + z + 875. What are the prime factors of z?
5
Let z(d) = d**3 - 4*d**2 - 2*d + 4. Let i be z(5). Suppose 3 = l + 2*b + b, -l + i = -b. List the prime factors of l.
3, 5
Let t(k) = -k**3 - 3*k**2 - k + 4. Let g be t(-3). Suppose g*b = 2*b + 10. What are the prime factors of b?
2
Let j be 4 + (-1)/(1/1). Suppose -t - 7 = j*l - 0*l, -2*l = 4*t + 18. Let m = 4 - t. List the prime factors of m.
2
Suppose -2*o + 23 = -203. List the prime factors of o.
113
Suppose 5*z = -5*r - 55, 5*r = 2*z - 27 - 35. Let i be 16/r*(-3)/(-2). List the prime factors of (-8 - 2)/(i/1).
5
Let y be 1/((-3)/(-46 - -1)). List the prime factors of y*2/3 - -3.
13
Suppose 2*s - 32 = 46. Let w = -18 + s. What are the prime factors of w?
3, 7
Suppose 0 = -3*c + 112 + 32. List the prime factors of c.
2, 3
Let v be 37 + -2 - (3 - 3). Suppose 8*m = 3*m + v. What are the prime factors of m?
7
Let u(x) = -x**3 + 6*x**2 + 6*x - 4. Let d be u(6). What are the prime factors of (d/20)/((-4)/(-110))?
2, 11
Suppose v = 5*v - 60. Suppose 4*d - v = -5*w, 25 = 4*d + w + 2*w. What are the prime factors of d?
2, 5
Suppose 1149 + 3107 = 16*y. List the prime factors of y.
2, 7, 19
Suppose 70 = 2*y + 12. What are the prime factors of y?
29
Let u = 7 - 6. Suppose 5*p + u - 41 = 0. What are the prime factors of p?
2
List the prime factors of (32/(-6))/((-220)/216 + 1).
2, 3
Suppose -3*h - 138 = 3*w, 2*w + 3*h = -2*w - 181. Let x = -18 - w. Let k = x + -15. List the prime factors of k.
2, 5
Suppose 4*j + 0*j + 7 = -o, 3*j = -6. What are the prime factors of o/(-4) - 621/(-36)?
17
Let w(y) = 2*y**3 + 3*y**2 - 3*y. Let g(o) = o**2 + 2*o - 1. Let j be g(-3). What are the prime factors of w(j)?
2, 11
Suppose 4*o - 5 = -u, -4*u = 4*o + 8 - 28. Suppose 0 = u*c - 0*t + t - 35, 3*c - 3 = 3*t. What are the prime factors of c?
2, 3
Suppose -4*d + 162 = -2*g, 2*d + 5*g - 84 = 3*g. List the prime factors of d.
41
Let i = -38 - -55. What are the prime factors of i?
17
Let f = 103 - 214. Let a = f + 175. Suppose -5*r + u = -60, r + 5*u = -2*r + a. What are the prime factors of r?
13
Let d(s) = s**3 - 10*s**2 + 10*s - 9. Suppose -3*h + l = -27, 18 = 2*h + 3*l + 2*l. Let i be d(h). Suppose 3*q - 15 - 51 = i. What are the prime factors of q?
2, 11
Let y = 0 + 7. List the prime factors of -3 + (y + -1 - -2).
5
Suppose -3*f - 52 = -187. Suppose -f = -4*o + 3*s, 4*o = s - 23 + 70. What are the prime factors of o?
2, 3
Let t(n) = -1 + 5 - 8*n - 7*n**2 + 10*n**3 - 9*n**3. Let f be t(8). Suppose -5*c = -4*c - f. List the prime factors of c.
2
Let t = 21 - 15. Let r = t + 5. Suppose 4*w = 25 + r. What are the prime factors of w?
3
Suppose -3*x + 4*x + 321 = 3*g, -3*g + 330 = -4*x. List the prime factors of g.
2, 53
Suppose -3*c - 239 + 773 = 0. List the prime factors of c.
2, 89
Let z = -74 + 157. List the prime factors of z.
83
Let z(v) = -v**3 + 3*v**2 + 5*v - 2. Let u be z(4). Suppose 35 + 25 = u*h. List the prime factors of h.
2, 3, 5
Let k = 18 + 23. What are the prime factors of k?
41
Let a(u) = u + 1. Let t be a(0). Suppose -c = t + 1. Let f = c - -5. What are the prime factors of f?
3
Suppose c = -5*w + 291, -4*c + 3*w = -3*c - 267. List the prime factors of c.
2, 3, 23
Suppose 8*u + 451 - 2571 = 0. What are the prime factors of u?
5, 53
Let d be -3*3/(-9)*4. Let k = d - 2. Suppose -3*g + k*g = -3. What are the prime factors of g?
3
Let p(v) = -3*v + 0*v - 2 + 4*v - 6*v. Suppose s + s - 12 = 3*r, -2*r = -5*s + 19. List the prime factors of p(r).
2
Let o be 1*(-11)/(-1) - -3. What are the prime factors of 2/(o/(-18) - -1)?
3
Suppose 0*u = -5*u + 195. Let y = -16 + u. What are the prime factors of y?
23
Let v(a) = -a**2 - 14*a - 23. What are the prime factors of v(-11)?
2, 5
Let i(q) = -q**2 + 6*q - 3. Let w be i(3). Suppose 3*o - 2*o - w = 0. What are the prime factors of o?
2, 3
Let y(h) = 5*h - 25. What are the prime factors of y(11)?
2, 3, 5
Suppose 3*q + 108 = 3*d + 24, 5*q + 2*d + 105 = 0. Let w = q - -45. What are the prime factors of (-3 - w/(-6))*15?
2, 5
What are the prime factors of (-36)/(-27)*(-9)/(-6)?
2
Let n(y) = y**3 - 6*y**2 - y + 13. List the prime factors of n(6).
7
Let o be (3 - 4) + -126 + 3. What are the prime factors of (o/(-1))/4 + 1?
2
Let y(v) = 3*v**3 + 8*v**2 + 6*v + 5. Let f be y(-5). What are the prime factors of 2/4 - f/16?
13
Suppose -2*j - 2*j = 5*s - 185, j + 3*s = 55. Let q = j - 23. What are the prime factors of q?
17
Let c(u) = 18*u**3 - 2*u**2 + 2*u - 1. Let f be c(1). Suppose -4*t = l - 92, -5*t - 2*l + f = -98. What are the prime factors of t?
23
Suppose 3*g - 1246 = -4*g. List the prime factors of g.
2, 89
Let y(k) = -103*k + 7. List the prime factors of y(-1).
2, 5, 11
List the prime factors of 1*(-1 - 2 - -46).
43
Suppose -5*g = -h - 8*g + 176, -3*h - 2*g = -514. Suppose -l + 6*l = h. List the prime factors of l.
2, 17
Let o = -18 + 9. Let u = -7 - o. Suppose -5*d + 32 = 4*z, 0 = -4*d - u*z + z + 30. List the prime factors of d.
2
Suppose -2*t - 10 + 116 = 0. List the prime factors of t.
53
Suppose 5*h - 10 = -0*h. Let z be (4/5)/(h/(-20)). Let d = 3 - z. What are the prime factors of d?
11
Let f = 3 - 1. Let v = f + 11. List the prime factors of v.
13
Let l = -69 + 101. Let c = l - 2. List the prime factors of c.
2, 3, 5
Suppose -3*n + 40 = 2*h, 5*n - 40 - 32 = 2*h. Suppose -4*k - n = -2*d, -k = d + 3*k - 1. List the prime factors of d.
5
Suppose 0 = 13*w - 9*w - 208. What are the prime factors of w?
2, 13
Let w = 24 + 9. What are the prime factors of w?
3, 11
Let f be ((-6)/(-15))/((-1)/5). Let h be 1/((f/3)/2). What are the prime factors of 1/h*(-1 - 8)?
3
Suppose 0*s - n = -s + 52, 3*s + 4*n - 149 = 0. Suppose -5*v = -3*g - s, 2*v - 3*g - 24 = -0*g. List the prime factors of v.
3
Let o(k) = -23*k - 1. Let x be o(1). What are the prime factors of 5/10*(-2 - x)?
11
Let y be (-2)/(-3 + (-21)/(-9)). Suppose 3*d - 3*g - 45 = 0, y*d + 3*g + 35 = 5*d. List the prime factors of d.
2, 5
Let t be (-8)/(-28) - 4/14. Suppose -5*w - 4*q + 14 = t, -2*w + 3*q + 1 = -0*w. Suppose w*y + 5 = 33. What are the prime factors of y?
2, 7
Let q = 49 + -13. What are the prime factors of 368/q + 6/(-27)?
2, 5
Suppose 4*r + 109 - 705 = -2*v, -454 = -3*r + 2*v. What are the prime factors of r?
2, 3, 5
Let p(o) = -5*o + 7. What are the prime factors of p(-10)?
3, 19
Let h(m) = -m**3 + 8*m**2 - 6*m - 5. Suppose 3*g = 4*b + 37, -2*g + b = -g - 11. Let p be h(g). Suppose p*r - 6 = 16. What are the prime factors of r?
11
Suppose 0*c + 4*c = -44. List the prime factors of -1*c/(-2)*-2.
11
Let v(l) = l**3 + 4*l**2 + 3*l - 2. Let x be v(-3). Let m = 4 + x. Suppose -m*b - 1 = -19. What are the prime factors of b?
3
Suppose 0 = 41*i - 39*i - 184. List the prime factors of i.
2, 23
Suppose 4*c = 4*h - 24, 24 = -2*c - 2*c - 2*h. Let l be c/(-8)*(11 - 7). Suppose -m - l*m = a - 31, -3*a + 37 = 5*m. List the prime factors of m.
| {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from {c: 5, d: 9}. What is prob of sequence ccc?
5/182
Calculate prob of sequence jjsz when four letters picked without replacement from jjsjczszj.
1/63
Calculate prob of sequence yyil when four letters picked without replacement from yylilylllliiyylhhf.
7/1224
What is prob of sequence xb when two letters picked without replacement from {y: 1, p: 2, w: 3, b: 1, x: 5, q: 1}?
5/156
Four letters picked without replacement from kgkgggknnknkgnggggk. Give prob of sequence gngk.
6/323
Four letters picked without replacement from uxxxuvxkxzxxukjkjuuv. What is prob of sequence uuxu?
7/1938
Two letters picked without replacement from uiummmuiimm. Give prob of sequence ii.
3/55
What is prob of sequence ll when two letters picked without replacement from flltallyatlt?
5/33
What is prob of sequence qkq when three letters picked without replacement from {k: 3, q: 11}?
55/364
Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnn.
1
What is prob of sequence mm when two letters picked without replacement from miisiqmsiuumiqmuiwim?
1/19
Four letters picked without replacement from {z: 2, y: 2, p: 1, w: 14}. Give prob of sequence yyzp.
1/23256
Two letters picked without replacement from ocz. Give prob of sequence oz.
1/6
Calculate prob of sequence nnnn when four letters picked without replacement from mttttmttmttntttmtmn.
0
Three letters picked without replacement from nwnwnqww. Give prob of sequence nqn.
1/56
What is prob of sequence bbh when three letters picked without replacement from {m: 2, o: 1, h: 1, b: 10, s: 4}?
5/272
Two letters picked without replacement from {h: 1, g: 1, i: 3, z: 5}. Give prob of sequence hi.
1/30
Two letters picked without replacement from {h: 1, e: 2, q: 1}. Give prob of sequence eq.
1/6
What is prob of sequence iwrr when four letters picked without replacement from wirirw?
1/45
What is prob of sequence ev when two letters picked without replacement from mzvezsm?
1/42
Three letters picked without replacement from pydtpjy. What is prob of sequence dty?
1/105
Two letters picked without replacement from imimttmma. Give prob of sequence ai.
1/36
Two letters picked without replacement from {a: 9}. What is prob of sequence aa?
1
Calculate prob of sequence rza when three letters picked without replacement from {w: 1, r: 1, z: 2, k: 1, a: 1, j: 1}.
1/105
Calculate prob of sequence xkkl when four letters picked without replacement from lpklxkk.
1/70
What is prob of sequence saa when three letters picked without replacement from {s: 3, a: 4, j: 1}?
3/28
Calculate prob of sequence ah when two letters picked without replacement from hvqqqahaah.
1/10
Calculate prob of sequence kyk when three letters picked without replacement from kkjtktvvmjjvtyk.
2/455
What is prob of sequence ko when two letters picked without replacement from {o: 1, m: 1, r: 1, k: 4, j: 1}?
1/14
Two letters picked without replacement from tttttttttkttt. Give prob of sequence tt.
11/13
Three letters picked without replacement from gggguzzzsgggugttgt. Give prob of sequence utt.
1/408
Calculate prob of sequence css when three letters picked without replacement from {s: 11, c: 1}.
1/12
What is prob of sequence toyo when four letters picked without replacement from {x: 1, o: 2, u: 1, b: 2, y: 1, t: 1}?
1/840
Three letters picked without replacement from {c: 3}. Give prob of sequence ccc.
1
What is prob of sequence lo when two letters picked without replacement from osomls?
1/15
Three letters picked without replacement from {b: 5, r: 2}. Give prob of sequence bbr.
4/21
Calculate prob of sequence inn when three letters picked without replacement from wpwwnwwinlwnwnl.
2/455
Calculate prob of sequence kpp when three letters picked without replacement from {p: 2, d: 4, l: 4, a: 3, w: 3, k: 2}.
1/1224
What is prob of sequence hn when two letters picked without replacement from {a: 1, h: 1, n: 4, d: 7, p: 4}?
1/68
Four letters picked without replacement from rccrcrrrocrrrroccoc. Give prob of sequence crco.
63/5168
Two letters picked without replacement from {h: 6, q: 4, k: 4, o: 4}. Give prob of sequence ko.
8/153
Calculate prob of sequence qh when two letters picked without replacement from hcphwfq.
1/21
What is prob of sequence eg when two letters picked without replacement from ggcecegccgggcgc?
1/15
Three letters picked without replacement from xhbrvpb. What is prob of sequence vhp?
1/210
Calculate prob of sequence wu when two letters picked without replacement from {w: 2, n: 11, r: 1, u: 1, v: 5}.
1/190
Four letters picked without replacement from {c: 3, x: 2, i: 3, k: 2, a: 3}. Give prob of sequence ickk.
3/2860
Three letters picked without replacement from {i: 2, m: 9, l: 7}. Give prob of sequence lii.
7/2448
What is prob of sequence trhz when four letters picked without replacement from ztizthr?
1/210
Four letters picked without replacement from yyqnnhnssnnn. What is prob of sequence qynn?
1/198
Two letters picked without replacement from {j: 3, d: 5, l: 2, e: 1, x: 1, g: 1}. What is prob of sequence xj?
1/52
What is prob of sequence aa when two letters picked without replacement from {a: 5}?
1
Calculate prob of sequence ul when two letters picked without replacement from pufxlclf.
1/28
Two letters picked without replacement from gyypppggg. What is prob of sequence gp?
1/6
What is prob of sequence al when two letters picked without replacement from {a: 18, l: 2}?
9/95
What is prob of sequence ddqq when four letters picked without replacement from qdqdqqddqddd?
7/99
What is prob of sequence nnn when three letters picked without replacement from {n: 6}?
1
Two letters picked without replacement from {h: 6, p: 12, e: 1}. Give prob of sequence eh.
1/57
What is prob of sequence vds when three letters picked without replacement from ddddcsvc?
1/84
Four letters picked without replacement from bbiii. Give prob of sequence ibbi.
1/10
Two letters picked without replacement from iaafiyyyoayfyyaaya. Give prob of sequence yy.
7/51
What is prob of sequence fzy when three letters picked without replacement from iiyrffrbbzfbi?
1/572
Four letters picked without replacement from {o: 1, s: 5, h: 5}. Give prob of sequence shhs.
5/99
Calculate prob of sequence eayy when four letters picked without replacement from ayyaaaeyayeea.
9/715
Four letters picked without replacement from yjjwjkkqwqjk. What is prob of sequence qyqw?
1/2970
Two letters picked without replacement from tetetqkttzkeqttmq. What is prob of sequence kq?
3/136
Calculate prob of sequence nvf when three letters picked without replacement from vfvvvfffnvfnfnv.
18/455
Four letters picked without replacement from uugguuu. Give prob of sequence guuu.
1/7
Calculate prob of sequence iihv when four letters picked without replacement from {h: 3, v: 1, i: 11, e: 1, o: 2}.
11/2448
Two letters picked without replacement from {y: 7, f: 1, b: 1, n: 3, e: 3, t: 3}. Give prob of sequence ny.
7/102
Calculate prob of sequence ette when four letters picked without replacement from {e: 2, t: 5, i: 11, h: 1}.
5/11628
What is prob of sequence gh when two letters picked without replacement from {h: 6, f: 4, g: 2, d: 1, n: 3, a: 3}?
2/57
Four letters picked without replacement from aaaa. Give prob of sequence aaaa.
1
Three letters picked without replacement from odogsgsqoo. Give prob of sequence sdo.
1/90
What is prob of sequence sc when two letters picked without replacement from csacssllso?
4/45
Three letters picked without replacement from aeyeeeweyeyyvyv. What is prob of sequence eey?
5/91
Calculate prob of sequence nf when two letters picked without replacement from efenseesfsfsfneess.
4/153
Four letters picked without replacement from llzflllzzzlzlllnlzl. What is prob of sequence zfll?
55/7752
Calculate prob of sequence qd when two letters picked without replacement from {q: 2, d: 2}.
1/3
Two letters picked without replacement from jeuljejjruueueurejl. Give prob of sequence rr.
1/171
What is prob of sequence rrz when three letters picked without replacement from zzrzzzrrrrzrzrzzzzz?
28/323
Two letters picked without replacement from {a: 1, t: 7, p: 1, b: 4, g: 3, q: 2}. Give prob of sequence tp.
7/306
Three letters picked without replacement from {k: 1, w: 19}. What is prob of sequenc | {
"pile_set_name": "DM Mathematics"
} |
the power of 1/3, to the nearest integer?
1519
What is 5276256240 to the power of 1/4, to the nearest integer?
270
What is 16370075 to the power of 1/3, to the nearest integer?
254
What is 35399160 to the power of 1/2, to the nearest integer?
5950
What is the third root of 82069722 to the nearest integer?
435
What is the eighth root of 153029050 to the nearest integer?
11
What is the square root of 8622264811 to the nearest integer?
92856
What is 22835793 to the power of 1/8, to the nearest integer?
8
What is 624259217 to the power of 1/2, to the nearest integer?
24985
What is the fifth root of 157065239 to the nearest integer?
44
What is 1038928770 to the power of 1/3, to the nearest integer?
1013
What is the cube root of 810984027 to the nearest integer?
933
What is 2232673767 to the power of 1/3, to the nearest integer?
1307
What is the sixth root of 871128544 to the nearest integer?
31
What is 5240099884 to the power of 1/2, to the nearest integer?
72389
What is 1113186925 to the power of 1/6, to the nearest integer?
32
What is 305058362 to the power of 1/2, to the nearest integer?
17466
What is the third root of 64685841 to the nearest integer?
401
What is 1514293042 to the power of 1/8, to the nearest integer?
14
What is the sixth root of 171984290 to the nearest integer?
24
What is 9304313 to the power of 1/7, to the nearest integer?
10
What is the eighth root of 512871051 to the nearest integer?
12
What is 57410968 to the power of 1/3, to the nearest integer?
386
What is 3991662102 to the power of 1/3, to the nearest integer?
1586
What is the third root of 839175305 to the nearest integer?
943
What is the third root of 29460096 to the nearest integer?
309
What is the third root of 1057798941 to the nearest integer?
1019
What is the square root of 201639164 to the nearest integer?
14200
What is 1219455361 to the power of 1/7, to the nearest integer?
20
What is 5240627108 to the power of 1/6, to the nearest integer?
42
What is the eighth root of 3203147020 to the nearest integer?
15
What is 4320474 to the power of 1/2, to the nearest integer?
2079
What is the square root of 94557153 to the nearest integer?
9724
What is 116732404 to the power of 1/3, to the nearest integer?
489
What is the fifth root of 158567174 to the nearest integer?
44
What is the square root of 45517126 to the nearest integer?
6747
What is 69343677 to the power of 1/2, to the nearest integer?
8327
What is the third root of 63396886 to the nearest integer?
399
What is the tenth root of 67731874 to the nearest integer?
6
What is 865518568 to the power of 1/4, to the nearest integer?
172
What is the seventh root of 347415378 to the nearest integer?
17
What is the square root of 28976456 to the nearest integer?
5383
What is the cube root of 590789639 to the nearest integer?
839
What is the square root of 80229863 to the nearest integer?
8957
What is the third root of 43219619 to the nearest integer?
351
What is the square root of 7107603380 to the nearest integer?
84307
What is the fifth root of 458892380 to the nearest integer?
54
What is 1198152527 to the power of 1/2, to the nearest integer?
34614
What is the third root of 47394581 to the nearest integer?
362
What is 356685526 to the power of 1/3, to the nearest integer?
709
What is the ninth root of 437247026 to the nearest integer?
9
What is the tenth root of 20250001 to the nearest integer?
5
What is 1804546774 to the power of 1/2, to the nearest integer?
42480
What is 189694037 to the power of 1/2, to the nearest integer?
13773
What is 22145507 to the power of 1/3, to the nearest integer?
281
What is the ninth root of 2770058418 to the nearest integer?
11
What is the third root of 290097874 to the nearest integer?
662
What is 34329216 to the power of 1/3, to the nearest integer?
325
What is the sixth root of 339228263 to the nearest integer?
26
What is 98999722 to the power of 1/2, to the nearest integer?
9950
What is 51485784 to the power of 1/2, to the nearest integer?
7175
What is 99484854 to the power of 1/3, to the nearest integer?
463
What is the cube root of 406095233 to the nearest integer?
741
What is 93656059 to the power of 1/6, to the nearest integer?
21
What is 1804069342 to the power of 1/3, to the nearest integer?
1217
What is 1650459668 to the power of 1/5, to the nearest integer?
70
What is the eighth root of 2709360248 to the nearest integer?
15
What is 401409740 to the power of 1/2, to the nearest integer?
20035
What is 71964781 to the power of 1/3, to the nearest integer?
416
What is the square root of 4511932188 to the nearest integer?
67171
What is 538191385 to the power of 1/3, to the nearest integer?
813
What is the third root of 16387262 to the nearest integer?
254
What is 136775169 to the power of 1/2, to the nearest integer?
11695
What is the cube root of 34181289 to the nearest integer?
325
What is 60856739 to the power of 1/3, to the nearest integer?
393
What is 103460182 to the power of 1/2, to the nearest integer?
10172
What is 161975019 to the power of 1/9, to the nearest integer?
8
What is 1720591710 to the power of 1/2, to the nearest integer?
41480
What is the ninth root of 6197208504 to the nearest integer?
12
What is the ninth root of 816320019 to the nearest integer?
10
What is 1318752989 to the power of 1/2, to the nearest integer?
36315
What is 283798525 to the power of 1/4, to the nearest integer?
130
What is 130162471 to the power of 1/2, to the nearest integer?
11409
What is 539122651 to the power of 1/5, to the nearest integer?
56
What is 156066722 to the power of 1/9, to the nearest integer?
8
What is the cube root of 2894901185 to the nearest integer?
1425
What is 4462314 to the power of 1/3, to the nearest integer?
165
What is the third root of 160892244 to the nearest integer?
544
What is the cube root of 354292740 to the nearest integer?
708
What is the square root of 10250449 to the nearest integer?
3202
What is the cube root of 54724685 to the nearest integer?
380
What is the eighth root of 116416120 to the nearest integer?
10
What is 96720262 to the power of 1/2, to the nearest integer?
9835
What is 861811382 to the power of 1/2, to the nearest integer?
29357
What is the square root of 304517700 to the nearest integer?
17450
What is the square root of 54113334 to the nearest integer?
7356
What is the sixth root of 82730033 to the nearest integer?
21
What is the cube root of 622712360 to the nearest integer?
854
What is 363198133 to the power of 1/9, to the nearest integer?
9
What is 20047568 to the power of 1/2, to the nearest integer?
4477
What is the cube root of 274751721 to the nearest integer?
650
What is the square root of 95644173 to the nearest integer?
9780
What is 57390860 to the power of 1/3, to the nearest integer?
386
What is the ninth root of 72086434 to the nearest integer?
7
What is 36816712 to the power of 1/3, to the nearest integer?
333
What is 3734357 to the power of 1/3, to the nearest integer?
155
What is the square root of 578424519 to the nearest integer?
24050
What is 23130190 to the power of 1/10, to the nearest integer?
5
What is the third root of 3328156903 to the nearest integer?
1493
What is the tenth root of 2494566 to the nearest integer?
4
What is 264806558 to the power of 1/3, to the nearest integer?
642
What is the fifth root of 278681603 to the nearest integer?
49
What is 606332164 to the power of 1/2, to the nearest integer?
24624
What is 21233890 to the power of 1/10, to the nearest integer?
5
What is the third root of 229435494 to the nearest integer?
612
What is the cube root of 2753927301 to the nearest integer?
1402
What is 7461667374 to the power of 1/2, to the nearest integer?
86381
What is 11704156 to the power of 1/8, to the nearest integer?
8
What is 3505021470 to the power of 1/8, to the nearest integer?
16
What is 298278300 to the power of 1/3, to the nearest integer?
668
What is the square root of 49823266 to the nearest integer?
7059
What is the cube root of 3813379203 to the nearest integer?
1562
What is the seventh root of 43650 to the nearest integer?
5
What is the ninth root of 580997645 to the nearest integer?
9
What is 31576515 to the power of 1/9, to the nearest integer?
7
What is 4288430 to the powe | {
"pile_set_name": "DM Mathematics"
} |
e third smallest value? (a) 0.3 (b) -0.7 (c) -0.13
a
What is the fourth smallest value in 1/5, 3964, -3, 2?
3964
Which is the third smallest value? (a) -2/19 (b) 0.8 (c) -5.4 (d) 0
d
What is the third biggest value in -1, 4, -23/7, 0?
-1
Which is the biggest value? (a) 1 (b) -2/7 (c) 2/5 (d) 8
d
Which is the smallest value? (a) -8 (b) 3 (c) -0.15
a
What is the fourth biggest value in -4, 3/7, -0.3, -0.13?
-4
What is the smallest value in 141, -1, -4?
-4
Which is the smallest value? (a) -1.7 (b) 5 (c) 3.3
a
Which is the fourth smallest value? (a) 0.5 (b) -2 (c) -0.5 (d) -6
a
What is the smallest value in 15, 49, -5?
-5
What is the second smallest value in -2, -59, 3/4?
-2
Which is the smallest value? (a) 0.4 (b) -4 (c) -11
c
What is the biggest value in 17, -0.038, 5?
17
What is the third biggest value in -2/9, 33, -5?
-5
Which is the fourth smallest value? (a) -12 (b) 0.1 (c) 28 (d) 4 (e) 0.5
d
Which is the second biggest value? (a) -2 (b) 2/13 (c) -1/7 (d) 14
b
What is the biggest value in -42, -2/7, 1, 5, -1/4?
5
Which is the fifth smallest value? (a) -3 (b) -9 (c) 3 (d) 1 (e) -0.4
c
Which is the third smallest value? (a) -5 (b) -4 (c) -4/23
c
Which is the second biggest value? (a) 0 (b) -0.2 (c) 3
a
What is the third biggest value in -0.3, -0.1, 5, 4?
-0.1
What is the second smallest value in -3/8, -299, -3?
-3
What is the third biggest value in 0, -3, -1/2, 183, 0.5?
0
What is the second smallest value in 1/5, -0.1, 1, -6?
-0.1
What is the second biggest value in 0.1, -4, -0.2, -2/7, 1?
0.1
Which is the third biggest value? (a) 1/2 (b) -2 (c) -0.3 (d) 1/11
c
Which is the fourth biggest value? (a) -2/11 (b) 0 (c) -5.6 (d) 5
c
What is the third biggest value in -0.03, -5, 7?
-5
Which is the second biggest value? (a) -12 (b) -1 (c) 0.2 (d) 28
c
What is the second smallest value in 2/7, 4/3, -193/4?
2/7
Which is the second biggest value? (a) 7 (b) -3 (c) -471 (d) 3
d
What is the third smallest value in -3, -1, -1/8?
-1/8
What is the second biggest value in 11, -2/13, 1/2, 3?
3
What is the second biggest value in -2, 17, -0.2, -0.3?
-0.2
Which is the biggest value? (a) 0.5 (b) -4 (c) 194
c
Which is the third smallest value? (a) -1 (b) 2/359 (c) 8
c
Which is the third smallest value? (a) 1 (b) 2/19 (c) -2.4 (d) -5 (e) -0.4
e
Which is the third smallest value? (a) -5 (b) 3 (c) -0.5 (d) -63
c
Which is the fourth biggest value? (a) -4/7 (b) 3 (c) -0.5 (d) 0.3
a
Which is the third biggest value? (a) -6 (b) -10/9 (c) -0.2 (d) -0.05
b
Which is the biggest value? (a) 1.36 (b) 0.1 (c) -0.3 (d) -6
a
What is the third biggest value in -2/5, 0.4, -0.3467?
-2/5
What is the biggest value in -19, -12, 2?
2
Which is the third smallest value? (a) 0.3 (b) 4 (c) -5 (d) -2
a
Which is the second smallest value? (a) 0.4 (b) 1 (c) -2/153
a
What is the smallest value in 1.2, 0.203, 5?
0.203
Which is the third smallest value? (a) 68 (b) -0.5 (c) -0.107 (d) 3
d
What is the third biggest value in -3, 2/9, 84, 2?
2/9
Which is the third biggest value? (a) 2/411 (b) -10 (c) 2
b
What is the third biggest value in 3.93, -0.4, 3/7?
-0.4
What is the biggest value in 2/7, 1/7, -4, 4?
4
Which is the biggest value? (a) -2/17 (b) -43 (c) -2/5
a
Which is the third biggest value? (a) -319 (b) -0.4 (c) -1/10
a
What is the third biggest value in -1/12, 0.4, 10, -4/5?
-1/12
Which is the biggest value? (a) 2.2 (b) 1/3 (c) -0.4
a
What is the second smallest value in 1/42, 1, 3?
1
Which is the fourth smallest value? (a) -8 (b) 0.5 (c) 3 (d) -0.06
c
Which is the third smallest value? (a) 1/7 (b) -2/13 (c) -638
a
What is the third smallest value in -1/6, 0.3, -6/109, -0.5?
-6/109
What is the smallest value in -0.2, 45, 2/7?
-0.2
Which is the fourth smallest value? (a) -6 (b) -0.4 (c) 4 (d) -2/7 (e) -15
d
What is the biggest value in 2/11, -19/30, 3/7?
3/7
What is the third biggest value in 5, -73, 0.2?
-73
What is the fifth smallest value in 5, -0.2, -1, 0.3, 0?
5
What is the third smallest value in 1.9, -2/3, -0.1, 3, 4?
1.9
Which is the fourth smallest value? (a) 5/2 (b) -1/706 (c) -2/13 (d) 2/7
a
What is the third smallest value in 1, 5, 852?
852
What is the third biggest value in -3, -2/3, 0.4?
-3
Which is the smallest value? (a) -0.5 (b) -3 (c) 26
b
What is the biggest value in -1/2, 0.3, 0.05?
0.3
What is the third smallest value in -7, -3, -0.4, 2?
-0.4
Which is the third biggest value? (a) -6 (b) -5 (c) 2/9 (d) -2/11
b
Which is the third smallest value? (a) 4 (b) -2 (c) 5/7
a
Which is the biggest value? (a) -57 (b) -0.2 (c) -4
b
What is the smallest value in -4, -1/49, 3?
-4
Which is the smallest value? (a) -1 (b) 0.04 (c) 2/523
a
Which is the fifth biggest value? (a) 2 (b) -1/6 (c) -2/9 (d) -0.5 (e) 22
d
What is the fourth smallest value in 0.5, -4/5, 5, 83/19?
5
What is the second smallest value in -7, -1/3, 2?
-1/3
Which is the third biggest value? (a) 3 (b) 0.1 (c) -31
c
Which is the smallest value? (a) -1 (b) 3 (c) -2/7
a
What is the second smallest value in 3, 0.3, 1/4, -35?
1/4
What is the second biggest value in 8, -4/87, -5?
-4/87
Which is the biggest value? (a) 0 (b) -0.0051 (c) 5
c
What is the second biggest value in 1/11, -3, 2, -80, -5/2?
1/11
What is the biggest value in 0.12, 40/13, -0.3, -2/5?
40/13
Which is the third biggest value? (a) 1/5 (b) 2 (c) 1.7
a
Which is the second biggest value? (a) 1/5 (b) 0 (c) -3/7
b
Which is the second biggest value? (a) 3/7 (b) -5 (c) 0.4 (d) 2/13 (e) -2719
c
Which is the second biggest value? (a) 1 (b) -14.86 (c) -0.1
c
Which is the fifth biggest value? (a) -0.4 (b) -4 (c) -1 (d) 6 (e) 1/5
b
What is the fifth smallest value in -2/9, 0.3, -2, -1/9, 2/11?
0.3
Which is the biggest value? (a) -0.1 (b) 10 (c) -5 (d) 4 (e) -3/4
b
What is the fifth smallest value in 0, -0.3, 0.5, 72, -0.2?
72
Which is the third smallest value? (a) -2/3 (b) -5.64 (c) -5
a
What is the third smallest value in -16, -0.032, -5, -2, -2/9?
-2
What is the fourth biggest value in 1, -2/13, -1/5, -3/7?
-3/7
Which is the second biggest value? (a) -6 (b) 0.2 (c) 0.13 (d) 1
b
What is the third biggest value in -9, -6, 12?
-9
What is the second biggest value in 1/3, -1359, -4/3?
-4/3
Which is the fourth biggest value? (a) 2 (b) -2 (c) -2.4 (d) -1/5
c
What is the third biggest value in 0, -0.4, -20?
-20
Which is the second biggest value? (a) 3/2 (b) -5 (c) 18 (d) 4 (e) 3/7
d
Which is the fourth smallest value? (a) 0.6 (b) 5 (c) -2 (d) -4 (e) -1
a
What is the biggest value in -5/4, 9/17, -1/4?
9/17
Which is the third smallest value? (a) -2/21 (b) 25 (c) -24
b
What is the smallest value in -9, -124, -2/7, -1/3?
-124
What is the fourth smallest value in -2, -2/7, 0, -5, -1.43?
-2/7
What is the second smallest value in 67, -10/3, 1/4?
1/4
Which is the third smallest value? (a) 2/19 (b) -2/69 (c) -0.3
a
What is the third biggest value in -3, 3, 0, 4?
0
What is the fifth biggest value in 4, 1, 0.2, -7, -2/3?
-7
Which is the second smallest value? (a) 31 (b) -1 (c) -0.0311
c
Which is the third smallest value? (a) 2 (b) 3/8 (c) -4
a
What is the fourth smallest value in -5, 3, -1, -1/2, -2/3?
-1/2
What is the fourth biggest value in 2/9, 11/3, -2, -2/15?
-2
What is the smallest value in -4, 0.0189, 1/6?
-4
Which is the second biggest value? (a) 2 (b) -34 (c) -1.2 (d) 4
a
What is the second smallest value in -12/11, 1/4, 0.5, 0, -17?
-12/11
Which is the second biggest value? (a) 0.1 (b) -2 (c) 11
a
Which is the second biggest value? (a) -67 (b) 2/7 (c) -23/4
c
What is the third biggest value in -9, 1, -4/3, 9?
-4/3
What is the second smallest value in 0.1, 0.26, -1/2, -4?
-1/2
Which is the second biggest value? (a) -0.015 (b) 3 (c) -1/8
a
Which is the biggest value? (a) 0.4 (b) -15 (c) -12/11 (d) -1/2
a
What is the fifth biggest value in 1, -5, -0.2, 4/15, -2/25?
-5
Which is the third smallest value? (a) -111 (b) -0.1 (c) 0
c
What is the second smallest value in 3, -10, -4, 7?
-4
What is the biggest value in 3, -25, -266?
3
Which is the third biggest value? (a) -2 (b) 3/5 (c) -1/2 (d) -15896
a
Which is the smallest value? (a) 30 (b) 18 (c) 0 | {
"pile_set_name": "DM Mathematics"
} |
t from {j: 3, g: 5, k: 1, a: 1, n: 2}. Give prob of picking 2 g.
5/33
Calculate prob of picking 1 a and 1 k when two letters picked without replacement from kkakkaaaaakaa.
20/39
Three letters picked without replacement from mvmlrlmrrlrlmmr. What is prob of picking 2 m and 1 r?
10/91
What is prob of picking 1 c and 1 w when two letters picked without replacement from {c: 11, w: 1, q: 7}?
11/171
What is prob of picking 2 e and 1 j when three letters picked without replacement from blnnjlbeerrlnerne?
3/340
Calculate prob of picking 2 b and 1 n when three letters picked without replacement from nnnbnubbbnb.
10/33
Two letters picked without replacement from {m: 2, q: 6, y: 4, v: 6}. What is prob of picking 1 y and 1 q?
8/51
Three letters picked without replacement from wccccccwcc. What is prob of picking 2 c and 1 w?
7/15
What is prob of picking 4 o when four letters picked without replacement from ooddooooooodoo?
30/91
What is prob of picking 1 k and 1 u when two letters picked without replacement from {u: 6, l: 10, n: 2, k: 2}?
6/95
What is prob of picking 1 e and 1 o when two letters picked without replacement from {a: 1, o: 2, e: 1, w: 4, h: 2}?
2/45
Two letters picked without replacement from bdgxp. What is prob of picking 1 g and 1 b?
1/10
Calculate prob of picking 1 i and 1 k when two letters picked without replacement from aikpjajiaaoaiaajp.
3/136
Calculate prob of picking 3 f when three letters picked without replacement from gwwfwfgff.
1/21
What is prob of picking 2 y when two letters picked without replacement from cyccycyc?
3/28
Three letters picked without replacement from alss. What is prob of picking 2 s and 1 a?
1/4
What is prob of picking 1 q and 2 e when three letters picked without replacement from qeqqeqqq?
3/28
Two letters picked without replacement from {r: 2, e: 18}. Give prob of picking 2 r.
1/190
Two letters picked without replacement from {v: 2, y: 1, k: 1, w: 3}. What is prob of picking 2 w?
1/7
Three letters picked without replacement from nnnnnn. Give prob of picking 3 n.
1
Three letters picked without replacement from aaaapaapfaaffaiffff. Give prob of picking 2 p and 1 a.
3/323
What is prob of picking 1 l and 1 q when two letters picked without replacement from qrqlqrlrqrqqbbb?
4/35
Two letters picked without replacement from slsllsppsspppsssppml. Give prob of picking 1 l and 1 m.
2/95
Three letters picked without replacement from {k: 3, z: 17}. What is prob of picking 3 k?
1/1140
Three letters picked without replacement from eeyeeeyeeeeeeeeeeee. What is prob of picking 2 e and 1 y?
16/57
Calculate prob of picking 2 s and 1 y when three letters picked without replacement from syss.
3/4
Two letters picked without replacement from tmmujugumtmo. What is prob of picking 1 u and 1 g?
1/22
Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {x: 3, h: 5, m: 4}.
10/33
Calculate prob of picking 1 x and 2 e when three letters picked without replacement from {g: 1, k: 10, e: 2, x: 1}.
1/364
Two letters picked without replacement from {w: 1, m: 7, f: 5}. What is prob of picking 1 m and 1 w?
7/78
What is prob of picking 2 m and 2 g when four letters picked without replacement from {g: 8, f: 1, y: 3, p: 1, h: 1, m: 2}?
1/65
Two letters picked without replacement from {k: 4, m: 2, p: 3, e: 1}. Give prob of picking 1 k and 1 e.
4/45
Two letters picked without replacement from oloordooolrrodloor. What is prob of picking 1 d and 1 r?
8/153
Four letters picked without replacement from {q: 8, k: 2, r: 4}. Give prob of picking 1 q, 2 k, and 1 r.
32/1001
Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {j: 7, x: 4, p: 1, q: 2, a: 2}.
1/30
Three letters picked without replacement from zwwwwwwwwwwwwzwwwwww. Give prob of picking 2 w and 1 z.
51/190
Three letters picked without replacement from {k: 2, t: 7, n: 1}. Give prob of picking 2 t and 1 k.
7/20
Four letters picked without replacement from {v: 2, n: 1, w: 2}. What is prob of picking 2 w, 1 n, and 1 v?
2/5
Two letters picked without replacement from iiiliiidbisiiisd. Give prob of picking 1 d and 1 s.
1/30
Three letters picked without replacement from {d: 3, j: 2}. Give prob of picking 2 j and 1 d.
3/10
Calculate prob of picking 2 l and 2 a when four letters picked without replacement from {s: 2, o: 4, b: 1, l: 2, a: 3}.
1/165
Four letters picked without replacement from mzhzqhjhnhhmjjj. Give prob of picking 1 z and 3 j.
8/1365
Two letters picked without replacement from stt. Give prob of picking 1 t and 1 s.
2/3
Calculate prob of picking 3 l when three letters picked without replacement from lwrlwrrrlwrrrrlrrrrr.
1/285
Four letters picked without replacement from {m: 10, x: 9}. Give prob of picking 4 x.
21/646
What is prob of picking 1 f and 1 x when two letters picked without replacement from pfxiqqr?
1/21
Four letters picked without replacement from {b: 16, h: 4}. What is prob of picking 1 b and 3 h?
64/4845
Two letters picked without replacement from {z: 9, k: 10}. Give prob of picking 2 z.
4/19
Two letters picked without replacement from {t: 2, h: 2}. Give prob of picking 2 h.
1/6
What is prob of picking 1 z, 1 b, 1 q, and 1 m when four letters picked without replacement from {b: 1, z: 1, r: 1, c: 1, m: 2, q: 1}?
2/35
What is prob of picking 2 v when two letters picked without replacement from {v: 3, k: 1, o: 1}?
3/10
Calculate prob of picking 2 e when two letters picked without replacement from ceeg.
1/6
Calculate prob of picking 3 y and 1 w when four letters picked without replacement from wwyyywhwlltelw.
5/1001
What is prob of picking 2 g and 2 q when four letters picked without replacement from gegqgggqgeg?
7/110
What is prob of picking 3 m when three letters picked without replacement from mmmccmmm?
5/14
Calculate prob of picking 2 t and 1 z when three letters picked without replacement from tuttutuuuzttztu.
6/65
Calculate prob of picking 2 i when two letters picked without replacement from immimimm.
3/28
Three letters picked without replacement from ppppfpfpfpppffppfp. Give prob of picking 3 p.
55/204
What is prob of picking 2 y and 2 w when four letters picked without replacement from yyyyywyyyw?
2/15
Calculate prob of picking 1 m, 1 g, and 1 n when three letters picked without replacement from iginskm.
1/35
Calculate prob of picking 1 z and 2 q when three letters picked without replacement from zzzzqqz.
1/7
Three letters picked without replacement from {y: 9, a: 7, b: 2, u: 1}. What is prob of picking 2 b and 1 u?
1/969
Calculate prob of picking 3 u and 1 j when four letters picked without replacement from ujjjujjujju.
14/165
Calculate prob of picking 1 o and 2 l when three letters picked without replacement from ykkolcwwkkyoklcokkk.
1/323
Four letters picked without replacement from {q: 4, i: 7, u: 2, j: 1}. What is prob of picking 1 j and 3 q?
4/1001
Two letters picked without replacement from xxb. Give prob of picking 1 b and 1 x.
2/3
What is prob of picking 1 c and 2 x when three letters picked without replacement from {x: 7, a: 2, c: 2}?
14/55
Calculate prob of picking 3 a when three letters picked without replacement from {a: 2, q: 2}.
0
Two letters picked without replacement from ncbcnnbcbnnbncc. Give prob of picking 2 n.
1/7
What is prob of picking 3 n when three letters picked without replacement from nnn?
1
Three letters picked without replacement from {d: 5, g: 1, f: 2, k: 2, l: 4}. Give prob of picking 2 l and 1 k.
3/91
Four letters picked without replacement from pjjpjnppphjppojzhoop. Give prob of picking 1 z, 1 o, and 2 h.
1/1615
Three letters picked without replacement from {l: 1, t: 6, r: 6, n: 1, v: 5, f: 1}. What is prob of picking 1 r, 1 l, and 1 v?
1/38
What is prob of picking 3 c and 1 z when four letters picked without replacement from zzcczcz?
4/35
What is prob of picking 2 j and 2 n when four letters picked without replacement from {n: 3, j: 11}?
15/91
Calculate prob of picking 2 p when two letters picked without replacement from bubbbbbbbbpgbbbbuggp.
1/190
Calculate prob of picking 2 k and 2 u when four letters picked without replacement from cccgukccgguccuucggk.
1/646
Calculate prob of picking 3 x and 1 c when four letters picked without replacement from xcxxxxxx.
1/2
What i | {
"pile_set_name": "DM Mathematics"
} |
3). Let n = -12 + q. Let w = n - 6. Calculate the lowest common multiple of 22 and w.
44
Let d be 6/12*(2 - 2). Suppose 3*l - 5*l + z = -3, 3*l - 3*z - 12 = d. Let y = 7 - l. What is the lowest common multiple of y and 5?
40
Let r = 602641/630210 - -8/9003. Calculate the common denominator of -66/35 and r.
70
Calculate the common denominator of 3 + 2/3 + (-149)/12 and 4 + (-597)/42 + 2.
28
Suppose -2*i = -0*i + 2, 4*i - 8 = -4*f. Let b be 5 - (-2 + 2 - 1). Let x = b - f. Calculate the smallest common multiple of 3 and x.
3
Let t(u) = -u + 12. Let f be t(15). Calculate the lowest common multiple of 9 and (-5 - f)/((-2)/3).
9
Let l be (-15)/6*898/8. Let k = -275 - l. Calculate the common denominator of k and 326/(-56) - (-9 - 59/(-7)).
8
Let m be 36/2 - 2*(0 + -1). What is the common denominator of (0 + m/15)*(-67)/(-12) and 62/9?
9
Let n be 0 - (3 - (0 - -3)). Suppose j = -n*j + 5. Calculate the smallest common multiple of 2 and j.
10
Let z be -4 + (-4 - -12) + 1 + -11. Calculate the smallest common multiple of 5 and (-6)/(-3) - z - 4.
20
Let v = 28631 - 28604. Calculate the lowest common multiple of -1 + 1 + (5 - -1) and v.
54
Suppose 0 = 2*z - z + 279. Let m = z - -829/3. Calculate the common denominator of m and 9/7.
21
Let w = -3313 + 33159/10. Find the common denominator of 41/56 and w.
280
Let g(q) = -11*q + 87. Calculate the lowest common multiple of 30 and g(6).
210
Let i(m) = 39*m**2 + 13*m - 5. Let x(p) = 10*p**2 + 3*p - 1. Let o(s) = -2*i(s) + 9*x(s). What is the smallest common multiple of o(-1) and 10?
60
Suppose -s + 2*v + 1321 = -102, 0 = -s + 3*v + 1418. Suppose 0 = -5*f + s + 1282. Let b = 9715/18 - f. Find the common denominator of -121/12 and b.
36
Let u(q) = -2*q + 6. Let v be u(-6). Let l = 0 + v. What is the least common multiple of 284/l + 12/54 and 22?
176
Suppose -5 = 5*n - 20. Let q = -118 - -120. Suppose 2*g = -2*g - w + 60, q*g - n*w - 16 = 0. What is the lowest common multiple of g and 22?
154
What is the common denominator of -13/21 and (-1216)/4752 + 2/11?
189
Let w = -1314 - -1317. Calculate the least common multiple of w and 1.
3
Calculate the common denominator of 83/8 and ((-573)/(-12) - -3)*(-60)/(-490).
56
Suppose 2*w - 4*w - 96 = 0. Find the common denominator of (5 + 69/(-12))*26/5 and (-908)/w + (-1)/4.
30
Let z = 136 - 2259/16. Find the common denominator of z and 3/4.
16
Calculate the least common multiple of (32/(-72))/(((-28)/63)/4) and 19/2 + 1/2.
20
Suppose -9 = -r + 8. Calculate the lowest common multiple of -16 + r - (1 + -4) and 10.
20
Let v = 187 - 174. Suppose -v*y + 76 + 2 = 0. Suppose x - 3*x = -b - 5, 10 = 2*b + x. What is the least common multiple of y and b?
6
Suppose -r - 594 = -5*h, -2*h + 9*r + 239 = 10*r. Suppose -117*x - 68 = -h*x. What is the lowest common multiple of x and 20?
340
Let w = -52442/885 + 898/15. Let m = -4194902/5605 + 14148/19. Let n = m - w. Find the common denominator of 9/4 and n.
20
Let x = -13 - 7. Let r = 0 - x. What is the common denominator of 1 + r/(-24) + -12 and 51/11?
66
Calculate the common denominator of 23530/(-3276) - (-2)/18 and ((-3)/8)/((-3)/27).
56
Let k(c) = -5*c + 41. Let v be k(7). Suppose -d - v = -4*d. Calculate the least common multiple of d and 5*(-5)/((-50)/12).
6
Let w be -27 + (0 - 0/2). Let j be ((-1002)/w)/((-16)/(-12)). Let l = j + -499/21. Calculate the common denominator of l and -83/10.
70
Let o = 7 - 5. Let c be o - 2/3*-3. Suppose 49 + 31 = c*s. Calculate the smallest common multiple of s and 12.
60
Let t = -202 + 209. Calculate the least common multiple of t and 32.
224
Suppose -2 = -b + 34. What is the lowest common multiple of 30 and b?
180
Suppose 2*y - 63 = -4*u - y, -4*y + 4 = 0. Suppose 2*a = 5*p - a - 125, 3*a = -u. Calculate the lowest common multiple of 20 and p.
220
Find the common denominator of -79/20 and ((-16)/1520)/(((-1)/61)/(-1)).
380
Suppose 19 = -2*r + 13, -5*n = 3*r - 2441. Calculate the least common multiple of 50 and n.
2450
Suppose -199 + 23 = -4*h. Suppose -o - o + h = 0. Suppose 3*k - 2*q = 2, 0 = 4*k - 0*k - q - 11. Calculate the least common multiple of k and o.
44
Let t = -26 - -17. Let g(k) = -k**2 - 9*k + 2. Let n be g(t). Find the common denominator of -31/5 and (-26)/(-91)*22/n.
35
Let r = -75 + 86. What is the least common multiple of r and 34?
374
Let k be (-28898)/(-10) + 1/5. Let z = -17287/6 + k. Let u = -2131/5 + 17253/40. What is the common denominator of z and u?
24
Let o = -1003/2 + 492. Calculate the common denominator of o and (-182)/3*(-13)/156.
18
Let m(d) = -3*d - 6 + 3*d + 3*d. Suppose 4*b = 4*y - 16, -14*b - 4 = -y - 11*b. What is the smallest common multiple of y and m(6)?
12
Suppose -3*t = -3*g, 20 = -3*t + 8. What is the smallest common multiple of 9 and 1 + -4 + (-36)/g?
18
Calculate the common denominator of -51/10 and (-33)/(2970/84) - -2*2.
30
Let m = 119/3 + -155/6. Let d = -123/38 - -679/380. Calculate the common denominator of m and d.
60
Suppose p - 30 = -33. Let f(h) = -h**2 - 8*h - 11. What is the smallest common multiple of f(p) and 29?
116
Let z = 19 - 28. Let g be 0/z - (-18)/(-1). Find the common denominator of 3/(-72)*(-264)/g and -79/16.
144
Let k = -19/16936 + -58937147/118552. Let v = k + 492. Find the common denominator of v and -16/3.
21
Suppose 16 = -4*m, 0*m - 2*m - 26 = -3*x. Let z(f) = 2*f - 25. Let b be z(16). Suppose b*w - 18 = x*w. What is the least common multiple of w and 4?
36
Suppose 2*c - 54 = 22. Let p = -30 + c. What is the lowest common multiple of p and 3?
24
Let f(q) = 2*q - 7. Let p be f(5). Suppose -p*i + i + 2 = 0. Suppose 0 = -17*w + 72 + 30. What is the smallest common multiple of w and i?
6
Suppose 3*v - 156071 = -23768. Let f be 2/9 + v/15498. Let a = 4/1107 + f. Find the common denominator of a and 77/20.
140
Let h = 485177/24 - 20220. Calculate the common denominator of -77/4 and h.
24
Let v = 73 - 123. Calculate the common denominator of 99/32 and (2/(-12))/(v/(-275)).
96
Let b = -1497 - -49430/33. Find the common denominator of 115/198 and b.
198
Let s = 36647/73764 + 17/1366. What is the common denominator of 65/18 and s?
108
Let t(j) = j + 8. Suppose 55 = 4*n - 2*c - 45, -15 = -n - 2*c. Suppose -4 - 21 = 5*f, 0 = -v + f + n. What is the smallest common multiple of t(0) and v?
72
Let g be 132/(-4*9/(-96)). Let a = -2821/8 + g. Calculate the common denominator of a and (118/(-12))/((-12)/(-8)).
72
Let k = 1378 + -6849/5. What is the common denominator of 83/34 and k?
170
Suppose -48 = -3*i + i. Let r = -2546 - -2561. Calculate the lowest common multiple of i and r.
120
Let n = -3892123/604 + 25775/4. Calculate the common denominator of n and -11/14.
2114
Let q(r) = -r**3 - 2*r**2 + 3*r - 12. Suppose 2*z + 3*o + 6 = 28, 40 = 4*z + 5*o. Calculate the smallest common multiple of z and q(-4).
40
Let y = 232 - 183. What is the smallest common multiple of 49 and y?
49
Suppose 24*c - 20*c = 64. Calculate the lowest common multiple of c and 100.
400
Suppose 49*r + 84 = 53*r. What is the least common multiple of 81 and r?
567
Let z = 67243471/540 + -124525. Find the common denominator of z and 23/20.
540
Let k = 340423/1713936 + 4/5101. What is the common denominator of k and -57/616?
3696
Let y = 226 - 1134/5. Let g = -200 + 1798/9. Find the common denominator of g and y.
45
Let i = 545 - 539. What is the least common multiple of 13 and i?
78
Let r = 21760/172679 + -43/359. Let v = -16859/3848 + r. What is the common denominator of v and -39/4?
8
Let c be (1/1 - 3) + (24 - -10). Calculate the common denominator of ((-92)/c - -2)*12 and (-30)/(-39) + 0 + -1.
26
Let f = 118501/28 + -4229. What is the common denominator of f and 15/182?
364
Suppose 0 = -3*b + 4*h + 128, -5*b - 4*h + 195 = -7*h. Let a = -24 + b. What is the smallest common multiple of 4 and a?
12
Let a = -21897661759/2156 + 789217144/77. Let j = -92957 + a. Let p = j - -5/147. Find the common denominator of p and 97/6.
12
Calculate the common denominator of -75/14 and (-2216)/224 - 35/(-20).
14
Suppose 2*b - 3*x = 78, -5*x = 6*b - 10*b + 154. Calculate the smallest common multiple of 24 and b.
72
Suppose 21*g - 205 - 1265 = 0. Let w(d) = -5*d - 14. Calculate the least common multiple of g and w(-4).
210
Let n be 0/(1/((-1)/2)). Suppose 7*c - 3*c + 8 = n. What is the lowest | {
"pile_set_name": "DM Mathematics"
} |
ext in -794, -799, -804, -809, -814, -819?
-824
What is the next term in 9, 36, 81, 150, 249, 384?
561
What is the next term in -2398, -4797, -7196, -9595, -11994, -14393?
-16792
What comes next: 128, 261, 394, 527, 660, 793?
926
What is the next term in -1515, -3036, -4557, -6078, -7599, -9120?
-10641
What is the next term in 23, 30, 51, 92, 159, 258, 395, 576?
807
What is next in 879, 1771, 2677, 3603, 4555?
5539
What is next in -3, -14, -31, -54?
-83
What comes next: -1, 8, 17, 26, 35?
44
What is the next term in 265, 268, 271, 274, 277?
280
What comes next: 181, 360, 539, 718, 897, 1076?
1255
What is next in -6066, -6051, -6010, -5931, -5802, -5611, -5346, -4995?
-4546
What is next in -198, -191, -178, -159, -134?
-103
What is next in -8, -51, -124, -227, -360?
-523
What is next in -11, 1, 15, 25, 25, 9, -29, -95?
-195
What is next in -148, -245, -342, -439, -536, -633?
-730
What is the next term in 419, 416, 411, 404, 395?
384
What comes next: 74, 177, 280, 383?
486
What is the next term in -330, -347, -398, -501, -674, -935, -1302, -1793?
-2426
What is next in -26, -88, -148, -206?
-262
What comes next: 79, 84, 91, 100, 111, 124, 139?
156
What comes next: 26, 284, 1000, 2408, 4742, 8236?
13124
What is the next term in 47, 84, 117, 146, 171, 192, 209?
222
What is the next term in -17600, -17599, -17598, -17597, -17596, -17595?
-17594
What is the next term in -3604, -7206, -10810, -14416?
-18024
What is the next term in -1345, -1345, -1355, -1381, -1429, -1505, -1615, -1765?
-1961
What comes next: -71, -104, -137, -170, -203?
-236
What comes next: -29, -20, 11, 76, 187, 356?
595
What is next in 432, 869, 1306, 1743?
2180
What is the next term in 52, 222, 500, 880, 1356?
1922
What comes next: -5485, -5489, -5495, -5503, -5513, -5525?
-5539
What is next in -46, -141, -394, -883, -1686, -2881, -4546?
-6759
What is the next term in 246, 502, 922, 1500, 2230, 3106, 4122, 5272?
6550
What comes next: 859, 829, 797, 763, 727?
689
What comes next: 12, 1, -10?
-21
What is next in 149, 145, 141, 137?
133
What comes next: -32, -44, -36, -8, 40, 108, 196?
304
What is the next term in 61, 156, 251, 346, 441?
536
What is the next term in -248, -254, -260, -266?
-272
What is next in -276, -1107, -2494, -4437, -6936?
-9991
What is the next term in -28, -36, -48, -64, -84?
-108
What comes next: 248, 242, 226, 194, 140, 58, -58, -214?
-416
What is next in 25, 24, 23, 22?
21
What comes next: -1496, -2990, -4484, -5978, -7472?
-8966
What is the next term in 698, 1386, 2086, 2804, 3546, 4318, 5126, 5976?
6874
What is the next term in -79, -180, -281, -382, -483?
-584
What is next in 396, 387, 378, 369, 360, 351?
342
What is next in 48, 58, 68, 78, 88?
98
What is next in 1503, 1495, 1475, 1437, 1375, 1283?
1155
What comes next: -61, -54, -43, -28?
-9
What comes next: -734, -734, -736, -740?
-746
What is next in 3, 8, 21, 48, 95, 168?
273
What is next in 46, 53, 76, 115, 170?
241
What is next in 1235, 1251, 1267, 1283?
1299
What comes next: 1, 20, 73, 178, 353, 616, 985, 1478?
2113
What is the next term in -1662, -3316, -4966, -6612?
-8254
What is the next term in 22, 17, 12?
7
What is next in 87, 360, 815, 1452?
2271
What is next in -431, -861, -1291, -1721?
-2151
What is the next term in 0, 23, 46, 69?
92
What comes next: 29, 38, 49, 62, 77, 94, 113?
134
What is next in -430, -852, -1274, -1696, -2118?
-2540
What is next in -1405, -1401, -1397?
-1393
What is next in 2, 57, 158, 311, 522?
797
What comes next: -2, -1, 8, 31, 74, 143, 244?
383
What comes next: -2691, -2693, -2695, -2697?
-2699
What comes next: 113, 459, 1027, 1811, 2805, 4003, 5399?
6987
What comes next: -1182, -2357, -3530, -4701, -5870?
-7037
What is the next term in 45308, 45314, 45334, 45374, 45440, 45538, 45674?
45854
What is next in 2013, 4025, 6037?
8049
What is the next term in 8, 39, 90, 161, 252, 363?
494
What is the next term in -4, -33, -86, -169, -288, -449?
-658
What is next in -20, -5, 36, 115, 244, 435?
700
What is next in -52, -54, -58, -64, -72?
-82
What comes next: -697, -699, -701, -703, -705?
-707
What comes next: -1547, -1541, -1531, -1517?
-1499
What comes next: 14, 15, 14, 11, 6, -1?
-10
What is next in -433, -875, -1317, -1759?
-2201
What is the next term in 16167, 16172, 16181, 16194, 16211?
16232
What is next in 12, 50, 106, 180, 272, 382?
510
What comes next: 1, -80, -229, -452, -755, -1144, -1625?
-2204
What is next in 32, 76, 106, 122?
124
What comes next: -60, -65, -70?
-75
What is next in -23, -19, -15, -11?
-7
What is next in 39, 53, 83, 135, 215, 329?
483
What is the next term in 3, -21, -91, -231, -465, -817, -1311?
-1971
What comes next: -82, -147, -212, -277?
-342
What is the next term in 10, 13, 28, 61, 118, 205?
328
What is the next term in 18, 4, -10?
-24
What is the next term in -215, -227, -251, -293, -359, -455, -587?
-761
What is next in -21, -5, 27, 81, 163, 279, 435, 637?
891
What is the next term in -89, -155, -213, -257, -281, -279?
-245
What is the next term in -137, -343, -559, -791, -1045, -1327, -1643, -1999?
-2401
What is next in 64, 72, 80, 88, 96?
104
What comes next: -425, -427, -429, -431, -433, -435?
-437
What is the next term in -15, -2, 11, 18, 13, -10, -57, -134?
-247
What is the next term in 26, -22, -108, -250, -466, -774, -1192, -1738?
-2430
What is the next term in -12, 0, 32, 96, 204, 368?
600
What is next in 371, 720, 1059, 1382, 1683, 1956, 2195?
2394
What comes next: -2091, -2096, -2111, -2142, -2195?
-2276
What comes next: -91, -287, -585, -985?
-1487
What comes next: 34, 105, 224, 391, 606?
869
What comes next: 1, 20, 71, 166, 317?
536
What is next in -8, -35, -76, -137, -224, -343?
-500
What is next in -187, -428, -671, -916, -1163, -1412?
-1663
What comes next: -123, -759, -1811, -3273, -5139?
-7403
What comes next: -28, -73, -136, -217?
-316
What comes next: -230, -234, -248, -278, -330, -410, -524?
-678
What comes next: 57, 42, 29, 24, 33?
62
What is next in 968, 967, 966, 965?
964
What is next in -8703, -8699, -8693, -8685?
-8675
What is next in 27, 101, 221, 387, 599, 857, 1161?
1511
What is the next term in 1377, 2750, 4123, 5496, 6869?
8242
What is next in -1963, -1967, -1983, -2017, -2075, -2163, -2287, -2453?
-2667
What is the next term in 52, 232, 532, 952?
1492
What is next in 31, 69, 119, 187, 279, 401?
559
What comes next: -26, -10, 4, 16, 26, 34?
40
What comes next: -1, 2, 9, 20?
35
What comes next: 109, 110, 127, 166, 233, 334?
475
What is the next term in -160, -163, -154, -127, -76?
5
What is next in 9, 19, 17, -3, -47, -121?
-231
What comes next: 67, 133, 199, 265?
331
What is next in -422, -414, -392, -350, -282, -182, -44?
138
What comes next: -8839, -17679, -26519?
-35359
What is next in 94, 91, 88, 85, 82?
79
What is next in 1, 2, 3, 4, 5?
6
What is next in 28, 42, 56, 70, 84, 98?
112
What is next in 190, 183, 176?
169
What comes next: 70, 281, 642, 1159, 1838, 2685, 3706?
4907
What comes next: 73, 138, 203, 268, 333, 398?
463
What is the next term in 477, 484, 495, 510, 529?
552
What comes next: -16, -17, -18, -19?
-20
What is next in -8, 0, 18, 46?
84
What comes next: 215, 864, 1945, 3458, 5403, 7780, 10589?
13830
What is next in 7, -42, -123, -236, -381?
-558
What is the next term in 43, 163, 363, 643, 1003, 1443?
1963
What comes next: -23302, -23298, -23292, -23284?
-23274
What is the next term in -935, -937, -941, -947, -955?
-965
What is next in -7, -13, -23, -37, -55, -77, -103?
-133
What is next in 55, 69, 73, 61, 27?
-35
What is next in -64, -123, -180, -235, -288, -339?
-388
What is next in -10, 17, 60, 125, 218, 345, 512?
725
What comes next: -108, -116, -124?
-132
What is next in 68, 408, 990, 1826, 2928, 4308, 5978?
7950
What comes next: 146, 290, 426, 554, 674, 786?
890
What is the next term in -12, -53, -128, -243, -404?
-617
What is next in -94, -270, -746, -1672, -3198, -5474, -8650, -12876?
-18302
What is next in -78, -92, -106, -120, -134, -148?
-162
What is next in 406, 395, 370, 325, 254?
151
What is next in -477, -959, -1443, -1929, -2417?
-2907
What comes next: 3, -8, -27, -54?
-89
What is the next term in -46, -15, 36, 107, 198, 309?
440
What is next in 16, 22, 42, 82, 148, 246, 382?
562
What comes next: 18, 18, 8, -18, -66, -142?
-252
What is next in 8039, 8022, 7991, 7940, 7 | {
"pile_set_name": "DM Mathematics"
} |
t m(d) = 4*n(d) - 5*p(d). Give m(y(j)).
84*j
Let d(v) be the second derivative of -v**4/6 - v**2 - 3*v. Let s(o) be the first derivative of d(o). Let t(g) = -g + g + g**2. Give s(t(f)).
-4*f**2
Let k(v) = -2*v. Let w(z) be the second derivative of 0 + 3*z - 2/3*z**3 + 0*z**2. Give k(w(g)).
8*g
Let y(s) be the third derivative of s**2 + 0*s + 0 + 0*s**3 + 1/24*s**4. Let g(p) be the first derivative of 2*p**3/3 + 1. Give g(y(r)).
2*r**2
Let b(x) = 4*x**2. Let g(n) be the third derivative of -5*n**4/24 + 6*n**2. Calculate g(b(s)).
-20*s**2
Let z(l) = -5*l**2 + 3*l**2 - 3*l**2. Let v(s) = -4*s. Let a(y) = 3*y. Let b(k) = -3*a(k) - 2*v(k). What is z(b(w))?
-5*w**2
Let h(c) = 4*c**2. Let y(l) = l**3 + 4*l**2 + 3*l + 2. Let o = 2 + -5. Let a be y(o). Let m(s) = -4 + a + s**2 + 2. Determine h(m(x)).
4*x**4
Let p(f) be the first derivative of -f**2 - 1. Let a(s) = 1075 - 2*s**2 - 1075. Calculate a(p(n)).
-8*n**2
Let f(k) = -k. Let w(s) = -6*s. Let z(l) = -8*f(l) + w(l). Let b(t) = -18*t**2. Calculate z(b(a)).
-36*a**2
Let k(x) = -35*x**2. Let z(v) = -5*v**2. Calculate z(k(h)).
-6125*h**4
Let v(q) be the third derivative of q**4/12 - 2*q**2. Let k(h) be the second derivative of 0*h**2 - 3*h + 0 - 1/3*h**3. Give v(k(s)).
-4*s
Let z(a) be the first derivative of -1/2*a**2 - 1 + 0*a. Let s(y) = -170 - y + 170. Determine z(s(o)).
o
Let l(t) = 2*t. Suppose -r = 4*r + 5. Let m(q) = -q**2 + q - 1. Let o(j) = -7*j**2 + 6*j - 6. Let z(p) = r*o(p) + 6*m(p). Determine z(l(d)).
4*d**2
Let i(f) be the second derivative of -5*f**3/6 - 3*f. Let m(t) = 2*t**2. Calculate i(m(h)).
-10*h**2
Let a(f) be the second derivative of 0*f**2 - 1/2*f**4 + 0 - 3*f + 0*f**3. Let c(m) = m. Calculate c(a(z)).
-6*z**2
Let q(x) = -x. Let f(k) = 17*k - 107. What is q(f(b))?
-17*b + 107
Let c(q) = 7*q**2 - 49. Let i(x) = 2*x**2. Calculate c(i(n)).
28*n**4 - 49
Let k be 70/7 - 6/2. Let g(l) = -2*l + k - 7. Let z(i) = -i. Calculate z(g(t)).
2*t
Let q(w) be the third derivative of 3*w**2 + 0*w**3 + 0*w + 0 + 0*w**4 + 1/20*w**5. Let l(g) = -2*g - g + 4*g. What is l(q(z))?
3*z**2
Let f(k) = -2*k. Suppose -10 = 4*y - 6*y. Suppose 2*b + 2 = 8. Let l(c) = b*c + 0*c - y*c. Calculate f(l(u)).
4*u
Let b(k) = k - 2*k + 5*k. Let z(r) = 5*r**2 - 7*r - 7. Let n(y) = -3*y**2 + 4*y + 4. Let v(x) = 7*n(x) + 4*z(x). Give b(v(p)).
-4*p**2
Let f(q) = 9 + q**2 - 9. Let m(h) = -4*h. Calculate f(m(l)).
16*l**2
Let n(p) = 2*p**2. Let j(z) = -3*z**2. Let t(v) = -v. Let c(y) = -12*y**2 - 16*y. Let h(l) = c(l) - 16*t(l). Let d(b) = -2*h(b) + 9*j(b). Calculate n(d(k)).
18*k**4
Let h(f) = 2*f. Let j(n) be the first derivative of 13*n**2/2 - 10. Determine h(j(u)).
26*u
Let y(w) = -17*w - 2. Let t(v) = 30*v. Calculate y(t(j)).
-510*j - 2
Let a(x) = 4*x. Let z(g) = g + 7. Let u be z(-6). Let l(i) = 4 - 3 - u + i. Give a(l(k)).
4*k
Let q(h) be the first derivative of h**4/12 + 2*h - 1. Let l(w) be the first derivative of q(w). Let n(o) = o**2. Determine n(l(f)).
f**4
Let j(g) = 0*g**2 + g**2 + 0*g**2. Let v(h) be the second derivative of h**4/12 + 9*h. Determine j(v(t)).
t**4
Let b(l) = 16*l + 1. Let g(s) = 14*s - 1. Calculate b(g(x)).
224*x - 15
Let w(z) = 11*z**2 - 6. Let r(h) = 10*h**2 - 5. Let a(n) = 6*r(n) - 5*w(n). Let x be (0 + 2/(-1))/(-1). Let m(c) = -x*c + 0*c + 3*c. Determine a(m(u)).
5*u**2
Let u(b) = -3*b**2. Let z(p) = 1082*p. Determine z(u(h)).
-3246*h**2
Let x(w) = 7*w + 5. Let g(l) = l + 12. Let h be g(-9). Let a(m) = 4*m + 3. Let q(r) = h*x(r) - 5*a(r). Let j(s) = 5*s. Determine j(q(t)).
5*t
Let v(p) = p**2. Let u(x) = 3*x - 3*x - 3*x + 2*x. What is v(u(s))?
s**2
Let c(p) = 5*p**2 - 4. Let z = 7 + -12. Let l(k) = -6*k**2 + 5. Let s(r) = z*c(r) - 4*l(r). Let a(u) = 2 + 6*u**2 - 2. Determine a(s(b)).
6*b**4
Let f(y) = -6*y + 10. Let t(h) = 2*h - 3. Let o(m) = 3*f(m) + 10*t(m). Let v(r) = -30*r. Calculate v(o(w)).
-60*w
Let z(a) = -a. Let w(h) be the third derivative of 4*h**2 + 0*h + 0*h**3 + 1/12*h**4 + 0. Calculate z(w(x)).
-2*x
Let c(f) be the second derivative of f**3/3 - 15*f. Let q(d) = d. Give q(c(t)).
2*t
Let z(k) = -k**2. Let l(b) = 3430*b. Calculate z(l(i)).
-11764900*i**2
Let t(y) = -3*y. Let g(c) = -4*c - 2. Let i be g(2). Let n be (-6)/15 - 24/i. Let f(r) = -2*r**n + 4*r**2 + 0*r**2. Give f(t(q)).
18*q**2
Let i = -44 + 78. Let u(z) = 1 + i*z - 1 - 35*z. Let j(t) = -4*t**2. Determine u(j(n)).
4*n**2
Let n(k) = 2*k**2. Let v(d) = -3729*d. Determine v(n(q)).
-7458*q**2
Let x(c) be the second derivative of -c**3/6 - 9*c. Let a(i) = 7*i**2. Calculate a(x(d)).
7*d**2
Let p(y) = -44*y - 56. Let q(j) = 8*j + 10. Let s(z) = -5*p(z) - 28*q(z). Let o(t) = 10*t. What is o(s(k))?
-40*k
Let v(p) = p**2. Let f = 6 - 5. Let n(b) = b + 1. Let d(m) = 2*m**2 - 6*m - 6. Let o(z) = f*d(z) + 6*n(z). Determine v(o(y)).
4*y**4
Let c(m) be the first derivative of -20*m**3/3 + 13. Let z(d) = 2*d**2. Give c(z(s)).
-80*s**4
Suppose -8 + 3 = 5*h - 4*j, -5*j + 40 = 5*h. Let a(i) = 2*i**2 + h*i - 3*i - i**2. Let q(m) = -2*m. Determine q(a(z)).
-2*z**2
Let o(s) be the first derivative of 11 + 0*s**2 + 1/3*s**3 + 0*s. Let d(m) = 10*m. Let l(g) = -21*g. Let b(t) = 13*d(t) + 6*l(t). Determine o(b(j)).
16*j**2
Let m(l) = -5*l. Let h(f) = 2*f**3 - 4*f**2 + 3*f - 1. Let s be h(2). Let p(c) = s*c - 3*c - 3*c. Determine m(p(g)).
5*g
Suppose 0 = -0*p - 3*p + 18. Let j(i) = -4*i - p*i - 4 + 4. Let c(k) = k. Determine c(j(u)).
-10*u
Let j(t) = -t**2. Let y(s) be the second derivative of -5/6*s**3 + 0 + 0*s**2 + s. Calculate j(y(g)).
-25*g**2
Let g(r) = -2*r**2. Let x(w) = -143*w - 2. Calculate x(g(f)).
286*f**2 - 2
Let q(f) = f**2. Let v(d) be the first derivative of -2*d**3/3 + 10. Give q(v(w)).
4*w**4
Let o(p) = 4*p + p - 3*p - 3*p. Let m(d) be the third derivative of d**5/30 + d**2. What is m(o(i))?
2*i**2
Let n(l) = -l**2. Let r = -10 - -13. Let h(t) = -4*t - 2*t + r*t. Determine h(n(b)).
3*b**2
Let b(j) = 2*j + 78. Let m(f) = 2*f**2 - 68. What is m(b(o))?
8*o**2 + 624*o + 12100
Let y(s) = 3*s**2. Let k(f) = f - 2. Let d(x) = 4*x - 9. Suppose -3*w - 4*r + 10 = 0, -4*w + 5*r = -2 - 1. Let u(q) = w*d(q) - 9*k(q). Calculate u(y(b)).
-3*b**2
Let j(m) = 6*m. Let a(l) = -l + 2. Let u(s) = 5 + s - s - 3*s. Let o(r) = 5*a(r) - 2*u(r). Determine o(j(q)).
6*q
Suppose 2*y + 2*y - 8 = 0. Let g(r) = -19 + 19 + y*r. Let t(q) = 17*q. What is t(g(u))?
34*u
Let w(r) = r. Let b(z) be the second derivative of 13*z**4/12 - 13*z. Give w(b(j)).
13*j**2
Let y(k) be the third derivative of -k**5/120 - k**3 + 2*k**2. Let q(s) be the first derivative of y(s). Let v(o) = 3*o. Give v(q(b)).
-3*b
Let g(v) = -5*v + 7. Let s(i) be the third derivative of -i**4/12 + i**3/2 - 3*i**2. Let d(r) = 3*g(r) - 7*s(r). Let j(w) = w**2. Determine d(j(q)).
-q**2
Let j(c) be the first derivative of -35*c**2/2 - 8. Let l(z) = -2*z**2. What is j(l(v))?
70*v**2
Let u(i) = -3*i. Let v(b) = 266*b. Calculate v(u(z)).
-798*z
Let u(a) be the first derivative of -a**2 - 1. Let p be (1 - 1)/((-12)/6). Let i(g) = -g + g - 4*g + p*g. Determine i(u(h)).
8*h
Let w(o) be the first derivative of -o**2/2 - 3. Let x(l) be the third derivative of l**5/60 + 11*l**2. Determine w(x(k)).
-k**2
Let x(n) be the first derivative of -n**4/12 + n**2/2 - 1. Let b(d) be the second derivative of x(d). Let r(p) = -4*p**2. Give r(b(a)).
-16*a**2
Let s(x) = -4 + 4 - 13*x + 0*x. Let z(y) = -y**2. What is z(s(w))?
-169*w**2
Let o(l) = -6*l**2 + 2*l. Let m(g) = -g. What is m(o(q))?
6*q**2 - 2*q
Let w(g) = -3*g. Let c(l) = -21*l**2. Calculate c(w(x)).
-189*x**2
Let l = 15 - 13. Let a(r) = r + l*r - 7*r. Let q(p) = 3*p**2. What is q(a(m))?
48*m**2
Let w(u) = -2*u**2. Let t(m) be the third derivative of -7*m**5/30 - 2*m**2 - 3. What is t(w(v))?
-56*v**4
Let n(d) = -d. Let c(j) = 24*j. Let f(p) = c(p) + 20*n(p). Let x(z) = -2*z**2. What is f(x(u))?
-8*u**2
Let g(m) = -2*m. Let h(r) = -r**2 - r. Let o(z) = -z. Let f(b) = 3*h(b) - 3*o(b). Calculate g(f(k)).
6*k**2
Let z(d) be the second derivative of d**4/12 + 3*d. Let y(o) = 15*o. Give z(y(f)).
225*f**2
Let q(p) = 111*p**2. Let w(f) = -7*f**2. What is q(w(j))?
5439*j**4
Let a(h) be the third derivative of -h**5/20 + 6*h**2. Let k(d) = -6*d**2. Calculate k(a(l)).
-54*l**4
Let b(l) = l**2. Let i(d) = 2*d**2. Let a(p) = -13*b(p) + 6*i(p). Let r(v) = 13*v - 13*v + | {
"pile_set_name": "DM Mathematics"
} |
r m.
-2
Solve 0 = -5*x + p - 31, -48*p + 101 = -16*x - 43*p for x.
-6
Solve 0 = 4*j - 2*i - 12, j + 22685*i - 22690*i + 6 = 0 for j.
4
Solve 0 = 2*l - 8, 5*l + 101 = 4*f + 129 for f.
-2
Solve -3*g - 4*p = -35, -3*g - 2*p + 25 = -0*g for g.
5
Solve 0 = -10*d + 20*d - 2*f - 16, 0 = 2*f + 6 for d.
1
Solve 2*s - 4 = 3*g, 105*s = 107*s - 5*g + 4 for s.
8
Solve 0 = -4*m - 3*q - 50, 5*m - 2*q = 7 - 58 for m.
-11
Solve -5*j - 20 = 0, -42*o + 38*o - j = 4 for o.
0
Solve 5*c = 5*n + 160, n = -8*c + 5*c + 92 for n.
-1
Solve 10*k + 4*k + 9 = -z + 10*k, -7*k - 22 = 3*z for z.
-5
Solve -5*y - 24 = -3*a, 5*y = -3*a - 2584 + 2578 for a.
3
Solve 4*s + 2*o = 26, -5*s + 62 = o + 40 for s.
3
Solve 5*b = -5*m - 5, -b + 5*m + 2454 - 2425 = 0 for b.
4
Solve 2*i + 10 = 0, 8897*i + 21 = -4*h + 8900*i for h.
-9
Solve -5*b - 30 = 0, -11*q - b - 4 = -5*q - 8*q for q.
-1
Solve 0 = -5*i - 939*v + 940*v - 1, -3*v = i + 13 for i.
-1
Solve -131*h + 135*h + 5*j = -9, 4*j = -15*h + 40 for h.
4
Solve 3*m - 2*y + 125 = 132, 4*m - 5*y = 14 for m.
1
Solve 12400*n + 13 = 12405*n + g, -2*n + 29 = -3*g for n.
4
Solve u - 4*z + 72 = 91, 5*u + 2*z - 7 = 0 for u.
3
Solve 5*y - g - 82 = -95, 3*y + g + 11 = 0 for y.
-3
Solve -15 = -5*m, -2*z + 165 - 138 = 5*m for z.
6
Solve 3*c = 7*t + 31, -3*c = -3*t + 381 - 396 for c.
1
Solve -1547*l + 12 = -4*v - 1550*l, -2*l = -2*v - 6 for v.
-3
Solve 3*a - 329 + 282 = 4*v, -2*a + 4*v = -42 for a.
5
Solve -11*f = 3*l - 221, -850*l + 853*l - 69 = -3*f for f.
19
Solve -4*u = -45002*v + 45007*v - 33, 0 = -5*u - 3*v + 25 for u.
2
Solve r = n - 299 + 285, -2*n + 22*r + 348 = 0 for n.
-2
Solve -k - 3358 = -2*p + 5*p - 3366, 0 = 4*k - 2*p + 10 for k.
-1
Solve -5*y - 507*h + 511*h + 8 = 0, -4*h = 5*y - 32 for y.
4
Solve 5*l + 317 - 320 = 3*k, -5*l = -2*k - 7 for k.
4
Solve -i = -2*f - 11, 47*i - 17 = 5*f + 46*i for f.
-2
Solve 5*d = y - 27, d = -1067*y + 1067*y - 4 for y.
7
Solve -3*d - 394*c = -393*c - 2, -2*d - 4 = -2*c for d.
0
Solve -4*v - 1233*c + 1230*c + 3 = 0, -2*v = 2*c for v.
3
Solve 26 = -5*h + 3*h, -18*m - 4*h = -13*m + 67 for m.
-3
Solve 2*j = -g + 10, -28*j = -27*j - 5 for g.
0
Solve 4*i = 4*p - 8, -12*p + 16*p = -12 for i.
-5
Solve 238 = -5*o - w + 268, -2*o = -4*w + 10 for o.
5
Solve -4*l + 81 = -5*g, -238*g + 243*g = 2*l - 83 for g.
-17
Solve 3*a - 34 = -2*s, 1911*a - s = 1906*a + 74 for a.
14
Solve -i = -3*q - 11, 4*i + 2*q - 177 = -175 for i.
2
Solve 5*s + f - 10 = 0, 6*s + 7*f - 8*f = 5*s + 8 for s.
3
Solve -8*u - 3*m - 8 = -6*u, 0 = 4*u - 7*m - 0 + 16 for u.
-4
Solve w - 17 = -3*h, -11*w + 15*w - 2*h - 96 = 0 for w.
23
Solve v = r - 11, -r - 22 = 3*v - 1 for v.
-8
Solve -1219*m = -1218*m + 5*r + 28, 2*m - 2*r - 4 = 0 for m.
-3
Solve 3*t = -4*u - 5, 3*u - 5*t + 57 - 104 = 0 for u.
4
Solve -113*w + 112*w = 3*q - 44, 15*q + 2*w = 223 for q.
15
Solve 2 = -g - 2*n, -561*n - 8 = g - 557*n for g.
4
Solve 395*d = -5*p + 391*d + 28, -3*d = -3*p + 6 for p.
4
Solve 3*j + 25 = 7*s, -176*j - 9 = -177*j - 2*s for j.
1
Solve k - 4 = c, -36865 = 4*k + 5*c - 36845 for k.
0
Solve n - 3*z + 7 = 0, 19*z = -5*n + 17*z - 52 for n.
-10
Solve 4*n - 6 = -2*h, 3*n + 64 - 79 = 2*h for n.
3
Solve -2*x + 10574*r + 10 = 10578*r, 0 = x - 3*r + 10 for x.
-1
Solve -67*w + 72*w - 2*p = 35, 0 = 2*w + 4*p + 34 for w.
3
Solve 5*w + 3*c = 12, 3*w - 196*c + 199*c - 6 = 0 for w.
3
Solve -r - 33 = 4*t + 2*r, -4*t - 11 = r for t.
0
Solve -21*t + 26*t - z = 5, 5*t + 5 = 3*z for t.
2
Solve -6*b - 87*f + 30 = -84*f, 4*b + 4*f = 36 for b.
1
Solve 2*g - 287 + 294 = 5*x, 0 = 4*x + 4*g - 28 for x.
3
Solve -62*f + 2*g = -63*f + 3, 3*g - 12 = f for f.
-3
Solve -4*m - 21*u + 20*u - 1 = 0, -2*m - 17 = -5*u for m.
-1
Solve 120*y - 21 = 5*a + 121*y, 5*a = -4*y - 24 for a.
-4
Solve -3*c = -0*c + 9, -2 = 4*y - 2*c for y.
-2
Solve -4*n - 28 = -9*n - 2*i, -i - 1 = 0 for n.
6
Solve 5*i = 2*f + 25, -69*i - 3 = 3*f - 65*i for f.
-5
Solve 5*l - 34 = 4*d, -l - 15 + 22 = -d for l.
6
Solve 3*b + 42 = -5*t, 0 = -833*b + 834*b + 4*t + 28 for b.
-4
Solve 10*n - 106 = -4*u, 167*u + 2*n = 170*u - 89 for u.
29
Solve 3*x = 408*c - 403*c + 3, -4 = 2*c - 4*x for c.
0
Solve -3*h = 5*n, -32*h + 0*n - 9 = -29*h + 2*n for h.
-5
Solve -5*i + 2*r = 23, -414*i = -401*i - r + 64 for i.
-5
Solve -32 = -4*n - 2*o, 0 = 24*o - 21*o - 30 for n.
3
Solve -206*a + 199*a - 17 = v, 4*v - 5*a = 31 for v.
4
Solve b = -7*p + 6*p + 9, 4*b - 11*p = -174 for b.
-5
Solve -5*w = 35, -4*i + 3*i + 3 = -w for i.
-4
Solve j - 34527*d + 40 = -34532*d, -4*d - 13 = -3*j for j.
-5
Solve -2*x = 5*j + 15, 17 = -5*j + x + 2 for j.
-3
Solve 2323*o - 2328*o - 25 = 4*k, -3*o = 3 for k.
-5
Solve 3*m - 3 = -0*m + 18*x - 17*x, -51*m - 21 = -5*x for m.
-1
Solve 58233*i = 58236*i + b - 5, 2*b + 8 = 0 for i.
3
Solve 3*k = -4*h + 20, 0 = -4*k - 2*h - 6172 + 6192 for k.
4
Solve -5*h + 4*g - 117 = 0, -4*g + 128 - 6 = -6*h for h.
-5
Solve -1234*n + 1239*n + k + 58 = 0, -n - k - 14 = 0 for n.
-11
Solve 11*m - 9 = 12*m - q, -3*q + 30 = -4*m for m.
-3
Solve -5*d = 5*q + 35, 2*d = 58*q - 64*q - 20 + 6 for q.
0
Solve -4*o + 2*w = 12, 2*o - 2 = 5*w - 16 for o.
-2
Solve -38*b = -36*b - 4*w + 42, 2 = 3*b - 2*w + 49 for b.
-13
Solve 0 = -4*r - 4*a - 8, -31 = 8*r + 3*a - 15 for r.
-2
Solve -5*v - 45 = -1114*a + 1129*a, -2*v - 14 = 5*a for v.
3
Solve -2 = -z - 4 - 2, 0 = 5*h - 3*z - 27 for h.
3
Solve 0 = -3*s + 4*i + 11 + 4, -4*s - 5*i = -20 for s.
5
Solve -16*i + 14*i + 39 = 5*p, 2*i = 2*p - 10 for p.
7
Solve -5*j - 54 = 3*y, -12*y = -3*j - 9*y - 18 for j.
-9
Solve w + 6 = 3*a, -646*a = -641*a - w - 8 for a.
1
Solve -1472*u + d = -1470*u - 14, 5*u - 5*d = 30 for u.
8
Solve -49 = 5*l - 5*w + 1, w = 3*l + 20 for l.
-5
Solve -8*d + 29 = -7*d - 5*l, 2 = -2*d - 5*l for d.
9
Solve 24*u - 22*u + 6*y - 61 = -59, 3*y + 14 = -4*u for u.
-5
Solve -1 = -3*c + q, c + 48926 = q + 48929 for c.
-1
Solve -c - 12 = -2*g, -218*c - 60 = -216*c + 5*g for c.
-20
Solve 0 = 6*r + 2*a - 82, -6 = -21*a + 19*a - 2 for r.
13
Solve -4284*n - 8 = 3*x - 4286*n, -5*x + 2*n = 12 for x.
-2
Solve t = 43*j - 48*j + 4, 3*j = 3 for t.
-1
Solve 4*f = 4, -65*i = -69*i + 15*f - 16*f - 23 for i.
-6
Solve -18258*i - 32 = -18263*i + t, 3*t = -21 for i.
5
Solve -3*x = 4*w - 21, x + 8*w - 104 = -37 for x.
-5
Solve 0 = -92*j + 87*j - 3*w - 7, 3*w = -12 for j.
1
Solve 5 = 4*q + 5*f, 5*f + 16547 = -2*q + 16552 for q.
0
Solve m = 2*z - 6, -2*m - 2*z + 81 - 99 = 0 for m.
-8
Solve 4*m = -2*j + 4, 2*m - 4 = 18*j - 20*j for j.
2
Solve -2*t - 191*h - 10 = -189*h, 0 = -4*t - 3*h - 21 for t.
-6
Solve 7499*c - 7502*c - 21 = -2*a, 4*a + 3*c = 69 for a.
15
Solve 2*b - 10 = -4*t, 81 = -5*t - 2*b + 93 for t.
2
Solve 9*f + b - 83 = 0, -3*b = 5*f - 9 - 42 for f.
9
Solve 3*c - k + 11731 = 11725, -3*k - 8 = 4*c for c.
-2
Solve 0 = -5*u + 3*x + 6, 66*x - 6 = u + 63*x for u.
3
Solve 3*s + 6 = -2*m, -57*s + 59*s - m - 3 = 0 for s.
0
Solve 5*y = -4*l - 51 + 72, 4*y + 4*l - 16 = 0 for y.
5
Solve 3*v + 953 - 970 = -2*m, -11 = -m - 4*v for m.
7
Solve -5*g = -14*j + 22, 0 = j + 818*g - 820*g + 5 for j.
3
Solve -2*v - 28 = 1329*y - 1325*y, 0 = -5*y - 3*v - 36 for y.
-6
Solve -17*u + 15*u - 3*n + 24 = 0, -31 = -3*u - 2*n for u.
9
Solve -4*u - 429*i = -425*i - 28, -i = 2*u - 4 for u.
-3
Solve 4*b - 39*u + 38*u = -1, -2*b + 3 = 3*u for b.
0
Solve 0 = -2*p - 3*j - 7, -16*p - 5*j - 50 = -5*p for p.
-5
Solve 10 = -5*d, -w + 20 - 13 = -3*d for w.
1
Solve 2*w + 98 = 4*a, 4*w - 3*a + 777 - 691 = 0 for w.
-5
Solve -3 = 23*p - 22*p + 2*y, y = p for p.
-1
Solve 3*v + 559 - 548 = p, -2 = 2*p for v.
-4
Solve 29*a + 88 = 2*l + 155, 4*a = 4*l - 28 for a.
3
Solve 3*a = 5*m + 8, -12*m - 4 = -9*m - a for m.
-1
Solve -30 = -2*p - 3*l, -p - 575*l + 8 = -577*l for p.
12
Solve 57*t - 55*t + 16 = j, -2*j + 36 = -5*t for j.
8
Solve -4*l + 55 + 110 = b, -2*b = -2*l + 70 for b.
5
Solve -2*b - 6 = 5*y, -5*y + 3*b + 9 = -0*b for y.
0
Solve 3 = 3*o + 3*i, -2*o - 5 - 5 = -2*i for o.
-2
Solve -2*x = 3*u - 6, -2*x + 5*u - 95 + 133 = 0 for x.
9
Solve -8*z + 14 = -2*q, q = 73*z - 68*z - 8 for z.
1
Solve 5*g = 3*w - 16, 86*g + 2*w - 44 = 96*g for g.
-5
Solve 432*p - 435*p + 32 = -2*s, 2*s + 8 = p for p.
12
Solve -2*v + 9 = v - 5*x + 37, 0 = 3*v - 12*x + 42 for v.
-6
Solve -3*a = 5*o - 69, 420*o = 416*o + 4*a - 60 for o.
3
Solve -3*i = 3*f + 12, 921*f - 919*f + 18*i = -8 for f | {
"pile_set_name": "DM Mathematics"
} |
o letters picked without replacement from xxrrrrxrrrxrx?
5/39
Two letters picked without replacement from psqmsmqpss. What is prob of picking 2 s?
2/15
Calculate prob of picking 1 n, 1 b, and 1 e when three letters picked without replacement from {b: 4, z: 4, n: 7, x: 1, v: 3, e: 1}.
7/285
What is prob of picking 2 e when two letters picked without replacement from {e: 5}?
1
Four letters picked without replacement from ttttrttttttttttttt. Give prob of picking 4 t.
7/9
Two letters picked without replacement from {h: 2, b: 4, m: 9, x: 1, v: 1}. Give prob of picking 1 b and 1 v.
1/34
What is prob of picking 1 w and 1 h when two letters picked without replacement from {l: 2, h: 2, y: 1, m: 1, w: 6, f: 3}?
4/35
What is prob of picking 4 m when four letters picked without replacement from {m: 4, o: 6}?
1/210
Two letters picked without replacement from {q: 5, u: 6, z: 1, h: 1, d: 1}. Give prob of picking 1 q and 1 h.
5/91
What is prob of picking 1 x and 2 y when three letters picked without replacement from {u: 1, e: 7, c: 1, x: 2, y: 4, r: 5}?
1/95
Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, l: 2}.
1/6
Two letters picked without replacement from gogcoccggcgbgg. Give prob of picking 1 b and 1 g.
1/13
Two letters picked without replacement from wuhzzzwzzzuwzwzzzzw. Give prob of picking 2 w.
10/171
Two letters picked without replacement from {c: 1, s: 1, b: 3, v: 5, g: 5, p: 3}. What is prob of picking 2 b?
1/51
Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, z: 1}.
1/3
Two letters picked without replacement from vyvwvvjvjvvddys. Give prob of picking 1 v and 1 w.
1/15
Three letters picked without replacement from {m: 5, b: 1, j: 2, g: 1}. Give prob of picking 2 m and 1 b.
5/42
Two letters picked without replacement from {m: 4, o: 5, h: 7}. Give prob of picking 2 h.
7/40
Calculate prob of picking 1 n and 1 e when two letters picked without replacement from nnnnnnpeepopppxppnpp.
7/95
What is prob of picking 1 r and 1 c when two letters picked without replacement from {c: 1, a: 1, k: 1, r: 1, q: 4}?
1/28
Four letters picked without replacement from rrhhrwhhwrwwwhrrhhw. What is prob of picking 1 r and 3 h?
35/646
Calculate prob of picking 1 b and 1 o when two letters picked without replacement from sbriossboccoosscsoss.
1/19
What is prob of picking 1 m and 2 i when three letters picked without replacement from aavvazamiiuvvii?
6/455
What is prob of picking 2 l and 1 d when three letters picked without replacement from dldjjdllljljllldlld?
75/323
Calculate prob of picking 2 n when two letters picked without replacement from {h: 3, d: 3, n: 2}.
1/28
Calculate prob of picking 2 w when two letters picked without replacement from yrbbwrjbwri.
1/55
Three letters picked without replacement from jjgggjkjkkgkjjj. What is prob of picking 1 g and 2 j?
12/65
What is prob of picking 1 w and 3 l when four letters picked without replacement from wlwwlllwwllllwlw?
21/65
Two letters picked without replacement from {c: 2, j: 2, m: 1, h: 1, y: 1, l: 1}. What is prob of picking 1 m and 1 y?
1/28
Three letters picked without replacement from {y: 2, t: 6, m: 4}. What is prob of picking 1 m and 2 y?
1/55
Two letters picked without replacement from woyrxuu. What is prob of picking 1 o and 1 w?
1/21
Two letters picked without replacement from {g: 1, t: 2, s: 2, f: 2, e: 3, q: 2}. Give prob of picking 1 e and 1 q.
1/11
Four letters picked without replacement from sccccceeeeecjccscj. What is prob of picking 1 s and 3 c?
14/255
What is prob of picking 1 h and 2 e when three letters picked without replacement from hhhhehhhhhhhehhehhhe?
8/95
Two letters picked without replacement from {j: 3, s: 2, v: 1, e: 1, i: 3, n: 1}. Give prob of picking 1 i and 1 j.
9/55
What is prob of picking 1 p and 2 k when three letters picked without replacement from kkkpggkmk?
5/42
Calculate prob of picking 1 d, 1 r, and 2 o when four letters picked without replacement from {o: 3, r: 1, d: 1, s: 7, i: 2}.
3/1001
What is prob of picking 2 c when two letters picked without replacement from {a: 4, c: 6}?
1/3
Calculate prob of picking 3 g and 1 t when four letters picked without replacement from {l: 7, t: 2, g: 6}.
8/273
Three letters picked without replacement from ewioled. What is prob of picking 2 e and 1 o?
1/35
Two letters picked without replacement from ppkp. What is prob of picking 1 p and 1 k?
1/2
Calculate prob of picking 2 e when two letters picked without replacement from {a: 2, f: 1, e: 6, k: 9}.
5/51
Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {d: 11, t: 1, e: 3}.
1/35
Four letters picked without replacement from {v: 7, i: 4, x: 4, d: 1, j: 1, e: 3}. What is prob of picking 3 x and 1 j?
4/4845
Four letters picked without replacement from unnnnnun. What is prob of picking 1 u and 3 n?
4/7
Calculate prob of picking 1 t and 2 f when three letters picked without replacement from ttfffeefeftt.
2/11
Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, z: 3}.
1/5
Four letters picked without replacement from aiiaiwhwwiawahtw. Give prob of picking 2 i, 1 w, and 1 h.
3/91
What is prob of picking 2 z when two letters picked without replacement from azzbzmbbmb?
1/15
Two letters picked without replacement from rruhrrruuuurrruhzuz. Give prob of picking 1 z and 1 u.
14/171
Two letters picked without replacement from xmo. What is prob of picking 1 x and 1 o?
1/3
Three letters picked without replacement from {e: 4, l: 3, s: 6}. What is prob of picking 1 e, 1 s, and 1 l?
36/143
Calculate prob of picking 2 r and 1 b when three letters picked without replacement from bhnnhchdnbbbddr.
0
Two letters picked without replacement from {y: 11, p: 1}. Give prob of picking 2 y.
5/6
Two letters picked without replacement from {z: 9, o: 5, k: 1, n: 1}. Give prob of picking 1 o and 1 k.
1/24
Two letters picked without replacement from {m: 3, q: 1, p: 1, n: 1, s: 4, w: 4}. What is prob of picking 1 p and 1 n?
1/91
Three letters picked without replacement from {c: 4, r: 6}. Give prob of picking 2 r and 1 c.
1/2
What is prob of picking 3 d when three letters picked without replacement from daddada?
4/35
What is prob of picking 2 w when two letters picked without replacement from {t: 2, u: 9, w: 5, y: 3}?
10/171
What is prob of picking 3 b and 1 i when four letters picked without replacement from bbbibibbbbbbibibbbbb?
448/969
Three letters picked without replacement from sjscyjsssh. Give prob of picking 1 j, 1 y, and 1 s.
1/12
What is prob of picking 1 d and 1 l when two letters picked without replacement from {q: 5, d: 4, l: 3, w: 4}?
1/10
Four letters picked without replacement from {n: 6}. What is prob of picking 4 n?
1
What is prob of picking 2 m when two letters picked without replacement from {m: 2, z: 9}?
1/55
What is prob of picking 2 t and 1 x when three letters picked without replacement from {x: 1, w: 12, b: 3, t: 2, y: 1}?
1/969
Four letters picked without replacement from kggggggkkg. What is prob of picking 2 g and 2 k?
3/10
Two letters picked without replacement from dludabqau. Give prob of picking 2 a.
1/36
Three letters picked without replacement from {f: 3, r: 11}. What is prob of picking 1 r and 2 f?
33/364
What is prob of picking 3 g when three letters picked without replacement from {b: 5, s: 1, g: 4, v: 1, d: 5}?
1/140
Calculate prob of picking 2 h when two letters picked without replacement from {n: 3, h: 3}.
1/5
Two letters picked without replacement from llllldlllllllllllld. What is prob of picking 2 d?
1/171
Three letters picked without replacement from kkpkppkzczckpkkmkkk. Give prob of picking 1 m and 2 c.
1/969
Two letters picked without replacement from {i: 11, d: 2}. What is prob of picking 1 d and 1 i?
11/39
Calculate prob of picking 1 f and 2 r when three letters picked without replacement from zzefebbzrrrfb.
3/143
Two letters picked without replacement from {a: 2, o: 1, z: 1, v: 2}. Give prob of picking 1 z and 1 o.
1/15
Calculate prob of picking 1 u and 1 i when two letters picked without replacement from iuiiiiiuuiu.
28/55
Two letters picked without replacement from {v: 10, i: 4}. What is prob of picking 2 v?
45/91
Calculate prob of picking | {
"pile_set_name": "DM Mathematics"
} |
**4 - o**3 - o**2 + o - 1. Let x(d) = 2*d**4 - 3*d**3 - 32*d**2 + 3*d - 3. Let k(w) = 3*g(w) - x(w). What is the third derivative of k(z) wrt z?
24*z
Let y(q) be the first derivative of -16*q**5/5 + 16*q - 2. Let d(o) = 11*o**4 - 11. Let i(n) = -7*d(n) - 5*y(n). What is the derivative of i(m) wrt m?
12*m**3
Let a(y) = -2*y - 6. Let v be a(-4). Find the second derivative of 0*h - h + v*h - 2*h - 2*h**5 wrt h.
-40*h**3
Let s be 1/(3*3/9). Let j(k) = 6*k**3 - 2*k + 1. Let z be j(s). Find the third derivative of 0*a**z + a**2 + 3*a**5 + 2*a**2 wrt a.
180*a**2
Find the second derivative of -28*c - 2*c**2 + 3*c - 4*c**2 - 4*c**2 wrt c.
-20
Suppose 6*i - 11 = 1. Suppose 4*w - 16 = -z - 2, -3*w - 3*z = -15. What is the first derivative of 0*m**4 - m**i + w + m**4 + m**2 wrt m?
4*m**3
What is the derivative of 2*d**2 - 7*d**2 + 2 + 1 wrt d?
-10*d
Let n(a) = -a. Let v(u) = 32*u - 25. Let w(z) = 2*n(z) - v(z). What is the derivative of w(g) wrt g?
-34
Suppose -3 = a + 2*a - 3*k, -2*a + 5 = 5*k. Let j be (a - -4) + -1 - 0. What is the second derivative of b**3 - 6*b**5 + 7*b**5 - b**j + 2*b wrt b?
20*b**3
Let z(j) be the first derivative of j**6/60 + j**4/24 + 3*j**2/2 + 4. Let s(x) be the second derivative of z(x). Find the second derivative of s(p) wrt p.
12*p
Let q(k) be the first derivative of 0*k + 0*k**4 - 2 + 0*k**2 + 7/5*k**5 - 2*k**3. What is the third derivative of q(j) wrt j?
168*j
Let u(l) be the first derivative of 3*l**4/2 - 8*l**3/3 - 3. Find the third derivative of u(a) wrt a.
36
Let k(w) = -w**5 + 25*w - 5. Let l(z) = z**5 - 12*z + 3. Let m(f) = 6*k(f) + 10*l(f). Find the second derivative of m(c) wrt c.
80*c**3
Let u be 21/(4 + -1) + -1. Let r be 1*3/u*4. Find the third derivative of 5*c**2 + 2*c**3 - 4*c**r - c**3 wrt c.
6
Let m(f) be the first derivative of -4*f**5/5 + f**3 + 2*f + 31. What is the third derivative of m(q) wrt q?
-96*q
Let n be 3/(-18) - 75/(-18). Let c(a) be the first derivative of -1/2*a**n + a**2 + 0*a**3 - 2 + 0*a. Find the second derivative of c(r) wrt r.
-12*r
Let z(l) = -l + 3. Let y be z(-3). Let n be 0/(3 - (1 + 1)). Differentiate -y + 4 + 2*q**3 + n*q**3 wrt q.
6*q**2
Let b(i) be the first derivative of -7*i**3/3 + 2*i**2 + 1. What is the second derivative of b(m) wrt m?
-14
Let g be (1/5 - (-132)/(-60)) + 4. Let q(u) be the first derivative of -3/2*u**2 - g - u. Differentiate q(o) with respect to o.
-3
Let a = -17 + 19. Find the third derivative of -c**2 + 7*c**5 - 6*c**a + 14*c**2 wrt c.
420*c**2
Let w(m) be the third derivative of -m**6/120 + m**3/6 - 3*m**2. Differentiate w(v) wrt v.
-3*v**2
Let u(b) = 4*b**4 - 49*b**2. Let g(y) = -3*y**4 + 48*y**2. Let a(d) = 5*g(d) + 4*u(d). What is the third derivative of a(p) wrt p?
24*p
Suppose u - 14 = -u. Suppose 4*o - 1 - u = 0. Find the third derivative of -4*v**o - 2*v + 2*v**2 - 3*v**4 + 2*v wrt v.
-72*v
Let g(z) be the first derivative of 7*z**5/5 + 2*z**3 - 16. What is the third derivative of g(y) wrt y?
168*y
Let s(h) = -h**3 + h**2 - h - 2. Let d(g) = -3*g**4 - 3*g**3 - 9*g**2 - 6*g + 10. Let a(k) = d(k) - 3*s(k). What is the second derivative of a(i) wrt i?
-36*i**2 - 24
What is the derivative of -9*o**2 - 2*o**2 + 7*o**2 - 1 wrt o?
-8*o
Let q(c) be the third derivative of -c**7/840 + c**4/12 + c**3/6 + 3*c**2. Let d(i) be the first derivative of q(i). Find the first derivative of d(r) wrt r.
-3*r**2
Let y(k) be the second derivative of k**8/560 - k**6/120 + k**3/2 - 3*k. Let v(t) be the second derivative of y(t). Find the third derivative of v(a) wrt a.
72*a
Let o = -8 - -15. Differentiate -2*i**2 + o - 4 + i**2 with respect to i.
-2*i
Let c(z) be the first derivative of 19*z**4/4 - 44*z + 7. Find the first derivative of c(m) wrt m.
57*m**2
Let s(d) = 6*d**5 - 4*d**3 + 7*d**2 + 4*d. Let i(r) = -5*r**5 + 3*r**3 - 7*r**2 - 3*r. Let y(f) = -4*i(f) - 3*s(f). What is the third derivative of y(o) wrt o?
120*o**2
Let x = -2 + 5. What is the first derivative of 5*c**2 - 4*c**2 - 3*c**2 - 3*c**2 + x wrt c?
-10*c
Let h(p) be the third derivative of 4*p**2 + 0 + 0*p**4 + 0*p**3 - 4/105*p**7 + 0*p - 1/20*p**5 + 0*p**6. Find the third derivative of h(i) wrt i.
-192*i
Let u(v) = -3*v**3 + 4*v**2 - 4*v - 7. Let k(c) = c**3 + c**2 - c + 1. Let n(b) = 4*k(b) - u(b). Differentiate n(o) wrt o.
21*o**2
Suppose -i = -6*i + 25. What is the third derivative of -g**i + 22*g**2 + 0*g**5 - 18*g**2 wrt g?
-60*g**2
Let i(n) = 1. Let a(h) = -5*h**3 + 2*h + 6. Let k(r) = -a(r) + 6*i(r). What is the second derivative of k(l) wrt l?
30*l
Suppose 2*u - 5*u = -9. Find the third derivative of -7*i**3 + 9*i**2 + 0*i**u - 7*i**2 wrt i.
-42
Let x = 3 + -2. Let p be 1*(-3 + 3)/x. Differentiate -2 + 3*v**2 - 1 + 6 + p wrt v.
6*v
Suppose -i - 5*k + 4*k = -7, 2*k = -4*i + 20. What is the second derivative of -j**4 - 5*j + 6*j**4 - i*j**4 + 4*j**4 wrt j?
72*j**2
Let d = -12 + 27. Suppose -u + 3*h - 9 = -h, 0 = -5*h + d. Find the third derivative of 0*f**u + f**3 + 4*f**2 - 2*f**2 wrt f.
6
Let a(y) = y**5 - y**3 - y**2 - y + 1. Let m(p) = -p**3 - 3*p**2 - p + 1. Let v(w) = -2*a(w) + 2*m(w). Find the third derivative of v(l) wrt l.
-120*l**2
Let b(v) be the first derivative of -v**5 + 13*v**3/3 + 2. What is the third derivative of b(p) wrt p?
-120*p
Let s(h) be the third derivative of 0 + h**2 + 0*h**5 + 0*h**3 + 0*h - 1/6*h**4 + 1/40*h**6. What is the second derivative of s(k) wrt k?
18*k
Let s(y) be the second derivative of -20*y**7/21 - y**3/6 - 33*y. Find the second derivative of s(v) wrt v.
-800*v**3
What is the third derivative of -12*q**3 + 35*q**6 + 10*q**3 + 2*q**3 - 32*q**2 wrt q?
4200*q**3
Let x(s) = s. Let o be x(3). Find the first derivative of 3*m**4 + 2 - 4 + m**4 - o*m**4 wrt m.
4*m**3
Let p be (22/(-66))/((2*-1)/2). Let h(n) be the second derivative of -1/12*n**4 + p*n**3 - 2*n + 0*n**2 + 0. What is the second derivative of h(m) wrt m?
-2
Suppose -4*t + 2 + 2 = 0. Let p be 1*(0 + t)*2. What is the second derivative of 6*u**4 + 2*u - u**4 - p*u**4 + 0*u wrt u?
36*u**2
What is the second derivative of -9*v + 30*v - 3*v**5 + 4*v**4 - 4*v**4 wrt v?
-60*v**3
Find the first derivative of -410*i**2 - 2*i + 410*i**2 + 41*i**3 + 28 + 39 wrt i.
123*i**2 - 2
Let m = 5 - 2. What is the derivative of 3*v - 3 + 3*v**2 - m*v wrt v?
6*v
Find the third derivative of 112*h**2 + 22*h**4 - 49*h**2 - 40*h**2 wrt h.
528*h
Let v(m) = 6*m**3 - 3*m + 3. Let n(d) = 7*d**3 - 3*d + 4. Let y be 1/((-3)/(-12)) + 0. Let l(h) = y*v(h) - 3*n(h). What is the second derivative of l(c) wrt c?
18*c
Let v(h) be the second derivative of h + 0*h**2 + 0*h**3 - 1/4*h**4 + 0*h**5 + 0 - 1/42*h**7 + 0*h**6. Find the third derivative of v(p) wrt p.
-60*p**2
Let p(w) be the second derivative of 7*w**6/30 + w**3/3 + 3*w. What is the second derivative of p(i) wrt i?
84*i**2
Let h(p) = -p**2 - 8*p + 8. Let z be h(-7). Let v = z - 11. What is the second derivative of -2*l + 4*l**4 + 3*l**v - 3*l**4 wrt l?
48*l**2
Let v(u) = -5*u + 16*u - 9*u - 2. Let p(q) = 2*q - 3. Let y(f) = -3*p(f) + 4*v(f). Find the first derivative of y(m) wrt m.
2
Suppose 3*p - 13 = -o, p + 5 = 4*p + 5*o. Suppose -p*s + 13 - 3 = 0. Find the third derivative of -t**6 - t**6 - 2*t**s + t**6 wrt t.
-120*t**3
Find the first derivative of 2*u**4 - 2 - 4*u**4 - 6*u**4 wrt u.
-32*u**3
Let p(k) be the second derivative of -1/2*k**2 + 0 + 4*k + 0*k**3 - 1/6*k**4. What is the derivative of p(f) wrt f?
-4*f
Suppose 4*v - 3*v = 2. Let h be ((-1)/2)/((-1)/4). Find the third derivative of 2*w**v - w**2 - 2*w**h + w**6 wrt w.
120*w**3
Let j(k) be the second derivative of -k**8/3360 + k**7/504 + k**4/3 - k. Let n(x) be the third derivative of j(x). What is the third derivative of n(g) wrt g?
-12
Let n(d) = 2*d - 2. Let q be 6 - 1 - (2 + -1). Let o be n(q). Find the first derivative of -3*a - 2 - 1 + o wrt a.
-3
Let l be 10/(-6)*(1 + -4). Suppose 0 = 4*x - 4*c - 2 - 34, 4*x - l*c - 39 = 0. What is the second derivative of 61*i**2 - x*i + 4*i**4 + 3*i - 61*i**2 wrt i?
48*i**2
Let a(r) be the first derivative of -r**4/4 + r**3/6 + 3*r + 2. Let u(m) be the first derivative of a(m). What is the second derivative of u(x) wrt x?
-6
Let c be ((-11)/(-66))/(4/3). Let m(s) be the third derivative of -c*s**4 + 0*s - 1/6*s**3 - s**2 + 0. Find the first derivative of m(k) wrt k.
-3
Le | {
"pile_set_name": "DM Mathematics"
} |
the closest to -8? (a) -5 (b) 1/4 (c) 2/37 (d) 321 (e) 0.8
a
Which is the closest to 2? (a) -8 (b) 0.5 (c) -0.08 (d) -1 (e) 7
b
Which is the nearest to -256? (a) 0.2 (b) 1 (c) -1 (d) 0 (e) 0.4 (f) -5.9
f
What is the closest to 0 in 2/3, -368, -3/4, -18, 3.2?
2/3
What is the closest to -3.6 in 0.0439, -0.01, 16/3, -1/6, 0.2?
-1/6
Which is the closest to -0.1? (a) -2 (b) 13936 (c) -2/1515
c
Which is the nearest to 11279? (a) -5/4 (b) -0.6 (c) 5 (d) -1
c
What is the closest to 0.4999 in -276, -1/2, -1, -4?
-1/2
Which is the closest to 0.4? (a) 10 (b) 1.621 (c) 130
b
Which is the nearest to 83874? (a) -3/10 (b) 1 (c) -0.03
b
What is the closest to -2 in -4, -3/4, -1/2, 0.2, -6?
-3/4
What is the closest to 1/57 in 0.02, -0.9, 4.1, -25?
0.02
Which is the nearest to -1? (a) 0.1309 (b) 5 (c) 5/2 (d) -1 (e) 0.4
d
What is the nearest to 0.19056 in 0, 328, -1/9?
0
Which is the closest to 1? (a) 5 (b) -95 (c) -2 (d) 2/283
d
What is the nearest to -0.2 in 2, -7, -1.3, -0.1, 0.1, 33369?
-0.1
What is the nearest to -4 in 2/805, 2/5, 0.6, 1/8?
2/805
Which is the nearest to 3? (a) 0.4 (b) -8.7 (c) 3/2 (d) 1507/5 (e) -3/5
c
Which is the closest to 1/2? (a) -4 (b) 5/32 (c) 11 (d) 1.79
b
Which is the nearest to 0.2? (a) -0.032 (b) 0.0107 (c) 5 (d) 0.5 (e) -0.5
b
Which is the closest to -2? (a) 3/4 (b) -5/3 (c) 9851
b
Which is the closest to 1/2? (a) 4/5 (b) -1.7 (c) -5 (d) 23 (e) -1.2 (f) 2
a
Which is the closest to 159/4? (a) -0.07 (b) 0.174 (c) 1/4
c
Which is the nearest to -26.0202? (a) -33 (b) -2/9 (c) 1
a
Which is the closest to -14.3799? (a) -0.3 (b) -3 (c) -98
b
Which is the closest to -2/3? (a) -25 (b) -2 (c) 0.2 (d) 5/3 (e) 9.53
c
What is the nearest to -1 in -40975, 4.5, -1/2?
-1/2
Which is the nearest to -159? (a) -9 (b) 16 (c) -23/2 (d) -0.3 (e) -0.1
c
What is the closest to -2/3 in -1/4, 3, 7021/5, 4.36?
-1/4
Which is the closest to 0.01? (a) 0.5 (b) -3 (c) 138 (d) -0.2 (e) 71.3 (f) -1
d
Which is the nearest to -0.6? (a) -52 (b) -2 (c) 9/59
c
What is the closest to -20535 in 28, -0.5, -4, 1?
-4
What is the closest to -1 in 2/45, -2, 19, -3, -12.6?
-2
Which is the closest to 9? (a) 21 (b) -0.05 (c) -1 (d) -1183
b
Which is the closest to -23? (a) -15/26 (b) 1 (c) 0.4 (d) -1/44
a
What is the nearest to -0.4 in -1, 41, 1330?
-1
Which is the nearest to -0.3? (a) 478 (b) 29175 (c) 1
c
Which is the closest to -1? (a) 12 (b) -1/3 (c) 3/8 (d) 4547 (e) 0.4
b
What is the nearest to -3/169 in 0.7, -1, -35, 0.1, -2/7?
0.1
Which is the closest to -1/3? (a) -13 (b) -2/13 (c) -60/13 (d) 2/3 (e) 2/295
b
What is the closest to 0.29 in 0.589, -1/3, 15?
0.589
What is the closest to -2 in 4/865, -11, -0.01, 1.1?
-0.01
Which is the nearest to 0.05? (a) 366 (b) 3 (c) 5/2 (d) 5 (e) 1
e
What is the nearest to 0.07 in -155, -1, -0.11, 14?
-0.11
What is the closest to -1 in -0.03, -83503/3, -1/8?
-1/8
What is the nearest to 2 in 10, -0.1, -12.1, 1, 5?
1
Which is the closest to -70884? (a) -2/7 (b) -1 (c) 2
b
What is the closest to -2/5 in 3513/22, -1.1, 2?
-1.1
What is the closest to 0.1 in 1.8, 0.2, 11789, 2, -1/2?
0.2
Which is the closest to 1? (a) -4/3 (b) 0.005 (c) -1599
b
Which is the nearest to -20386? (a) -2 (b) -0.4 (c) -4
c
What is the closest to -0.3 in 242504, 4, 2/7, -2?
2/7
Which is the nearest to -8? (a) 3/4 (b) 14 (c) -9403
a
What is the closest to 6077625 in 5, 0.1, -0.054?
5
Which is the closest to -0.0995? (a) -0.2 (b) 0.2 (c) -2/81 (d) 3
c
What is the nearest to -0.1 in -5, -2, 1/4, 3667, 0.5?
1/4
Which is the nearest to 1? (a) 2/5 (b) -21/18208 (c) -4
a
What is the closest to 169.9 in 5, 4, 454?
5
Which is the nearest to 1? (a) 2 (b) 30616588 (c) 4
a
What is the nearest to 20 in -2/3, -5345, 2/7, 0?
2/7
Which is the nearest to 7? (a) -5 (b) -1.15 (c) 1/17 (d) 3/38
d
What is the closest to -0.11 in -1/4, -2, 2/11, 7425?
-1/4
Which is the closest to 9? (a) 79/5 (b) -10/3 (c) -5 (d) -2
a
What is the nearest to -15.3 in -2/7, -3324, -3/8, 8?
-3/8
Which is the nearest to -12630? (a) -2/61 (b) -2/11 (c) -2
c
Which is the closest to 1.7? (a) 4 (b) 5 (c) -16 (d) 0.3 (e) 2 (f) 5177
e
What is the closest to -1/5 in 3/2, -635, -2, 1.3?
1.3
Which is the nearest to -7? (a) 0.2 (b) -612 (c) -4.2
c
Which is the closest to -0.2? (a) 1 (b) 6308 (c) -0.065 (d) -5
c
What is the nearest to -0.8 in 4, -95, -279, -2/3, -4?
-2/3
What is the closest to 0.02 in -3/2, -1673, 0, -30?
0
What is the nearest to 68 in -3, -2, -1, 5, -860.9?
5
What is the nearest to -172 in 5/4, -1/3, -1/2, 5, 0.3?
-1/2
Which is the closest to 3/7? (a) 3200 (b) 1/5 (c) 0.219 (d) 0
c
Which is the closest to 0.1? (a) 5/141 (b) 40 (c) 593
a
What is the nearest to -1 in -4/541, 0.2, 5, -4?
-4/541
What is the nearest to 21 in -0.1, -11/5, -1, 8/111?
8/111
What is the closest to -36 in 0.287, -3, -19?
-19
Which is the closest to 307? (a) -49 (b) -2/21 (c) -0.01
c
Which is the nearest to -0.1? (a) 2/37 (b) 101 (c) -20 (d) -1.4 (e) 0.3
a
What is the nearest to -12/7 in -0.06, 8, -2/23?
-2/23
What is the closest to 0.1 in -158, -3, -7, 0.4, 3?
0.4
Which is the nearest to 7/13? (a) -1 (b) -313 (c) -10/3 (d) -1/4 (e) 5/2
d
Which is the nearest to 0.2? (a) -6/13 (b) -340 (c) 2/11 (d) 1/5 (e) -35 (f) 9
d
What is the closest to -0.151 in -2/915, -4/5, 1?
-2/915
Which is the closest to 23? (a) -5 (b) -1/8 (c) 8407
b
What is the closest to -5673 in 2, -0.2, 8, -141, 3?
-141
What is the nearest to 1 in 3, -426/5, -0.5, -102.4, -4?
-0.5
What is the nearest to 2 in -13, 20, 23, -52?
-13
What is the nearest to -1 in -2/7, -29092, -2, -1, -1/3?
-1
What is the closest to -1.039 in -1/32, 3, 1?
-1/32
Which is the nearest to -2/5? (a) 7 (b) -2/9 (c) -745 (d) 5/7 (e) -1
b
Which is the nearest to -82271? (a) 2/9 (b) -3 (c) -4 (d) 2/13
c
What is the nearest to 0.1 in -0.22, -577, 1, 2/45, -5?
2/45
What is the nearest to 12 in 186, -0.03, 0.101, -0.2?
0.101
Which is the nearest to 0.3? (a) -0.3 (b) 0.02381 (c) -146
b
Which is the nearest to 5370? (a) 1/2 (b) 3 (c) 1/4 (d) -3 (e) -1/6 (f) -4
b
What is the nearest to 1/4 in 8, -3, 3/62, -5, -0.5?
3/62
Which is the closest to -1/2? (a) -51.53 (b) 1/4 (c) -10 (d) 0.1 (e) -28
d
What is the nearest to -241 in -0.94, -0.05, 0.3, -0.2, -1?
-1
What is the closest to 139 in 1.25, -5, -2/21, -2?
1.25
Which is the closest to -0.2? (a) -7.2 (b) 0.4 (c) -4 (d) 24 (e) 1
b
What is the closest to 0.35 in 0.015, -3, -0.066?
0.015
What is the closest to 1 in 100, -0.5, -0.6, 1, -262, -7?
1
What is the nearest to -4/19 in -0.5, 4068, -2/11?
-2/11
What is the closest to 0.2 in 2/11, -1.28, -6, -22/5, -5?
2/11
What is the nearest to -1 in 20, 22, 2, 0.5, -1/69?
-1/69
What is the closest to -55/2 in 3/7, 74, -1, 2/7, 3?
-1
What is the nearest to 2 in 0.046, 1, -4/9, 156/25, -3/29?
1
What is the nearest to -18 in -19/25, 0.2, 0.4, -526, -10, 2?
-10
What is the nearest to 0.41 in 0, -0.8, 1/4, -0.061?
1/4
Which is the closest to 0.8? (a) 2/19 (b) 4270 (c) -0.183 (d) 2
a
What is the nearest to -84 in 12, 152, 5, 6, -1, 2/3?
-1
What is the nearest to 15.2 in 238/3, 0.24, -5, -2/9, -1/8?
0.24
What is the nearest to 27976 in -5/3, 4, -0.3, 3, -3, -163?
4
What is the closest to -2/1095 in 4, 126, -0.5?
-0.5
What is the nearest to 294.9 in -1/6, 1/4445, -1?
1/4445
Which is the closest to 1.9? (a) -0.2 (b) -1935.8 (c) 3/7
c
What is the closest to 91 in -1170/11, 1/5, -1/3?
1/5
Which is the closest to 0.1? (a) -16 (b) -5 (c) 14/235
c
Which is the closest to -5/3? (a) -3 (b) 1/2 (c) -0.1 (d) -4 (e) 529
a
Which is the nearest to -5/484? (a) -2/5 (b) -1/11 (c) -159 (d) -3
b
What is the nearest to -1 in -104, 0, 24, 6?
0
Which is the closest to -0.335? (a) 1 (b) -515 (c) 5 (d) 0
d
Which is the nearest to 7.6? (a) 391697 (b) 0.1 (c) 1 (d) 2
d
What is the nearest to 3/11 in -1, -13, -8.84, -3/2, -2, 0.13?
0.13
Which is the nearest to 0.31722? (a) 22 (b) -7 (c) -4
c
What is the nearest to 5 in 0.3, 9/148, 1, -844, 2?
2
Which is the nearest to -107283? (a) 3/4 (b) 0.02 (c) 2/23
b
Which is the closest to 0? (a) 32/3 (b) -3 (c) 2 (d) 4/11 (e) -2/189 (f) 1/2
e
Which is | {
"pile_set_name": "DM Mathematics"
} |
actor -m**4/4 + 1447*m**3/4 - 1444*m**2 + 1443*m.
-m*(m - 1443)*(m - 2)**2/4
Solve 6*a**5 + 2595*a**4 + 1287*a**3 - 3891*a**2 - 1293*a + 1296 = 0.
-432, -1, 1/2, 1
Solve 2*a**5/3 + 4064*a**4/3 - 17724*a**3 - 4064*a**2/3 + 53170*a/3 = 0 for a.
-2045, -1, 0, 1, 13
Solve j**3/9 - 64*j**2/9 - 52*j/3 + 176 = 0 for j.
-6, 4, 66
Solve -4*c**5 - 187*c**4 - 1721*c**3 + 442*c**2 = 0.
-34, -13, 0, 1/4
Let 4*d**2 + 4980*d + 102816 = 0. Calculate d.
-1224, -21
Suppose -3*b**5/4 + 339*b**4/4 - 2904*b**3 + 24708*b**2 + 116352*b - 138240 = 0. Calculate b.
-4, 1, 20, 48
Factor 605*s**3 - 6270*s**2 + 18720*s - 17280.
5*(s - 6)*(11*s - 24)**2
Factor -5*w**3 + 9535*w**2 + 221840*w + 212300.
-5*(w - 1930)*(w + 1)*(w + 22)
Suppose 2*m**4 - 1422*m**3 - 2*m**2 + 1422*m = 0. What is m?
-1, 0, 1, 711
Find s, given that 4*s**4 + 2152*s**3 + 204912*s**2 + 4195800*s - 73871028 = 0.
-423, -63, 11
Factor -2*n**3/9 - 1204*n**2/9 - 179992*n/9 + 364816/9.
-2*(n - 2)*(n + 302)**2/9
Let v**2/3 + 4586*v/3 - 1529 = 0. What is v?
-4587, 1
Suppose x**4/3 - 16961*x**3/3 + 101735*x**2/3 - 84775*x/3 = 0. What is x?
0, 1, 5, 16955
Solve -2*q**2/7 + 185044*q/7 - 370080/7 = 0 for q.
2, 92520
Let f**4/3 + 433*f**3/3 - 3979*f**2/3 - 433*f/3 + 1326 = 0. Calculate f.
-442, -1, 1, 9
Factor 5*j**4 + 40*j**3 - 3165*j**2 - 16200*j.
5*j*(j - 24)*(j + 5)*(j + 27)
Factor -u**2/5 - 664*u/5.
-u*(u + 664)/5
Find p, given that -2*p**5/9 - 226*p**4 - 174040*p**3/3 - 2487496*p**2/9 + 2048288*p = 0.
-506, -9, 0, 4
Solve -2*h**5 + 498108*h**4 + 1992452*h**3 + 2988688*h**2 + 1992462*h + 498116 = 0.
-1, 249058
What is j in -4*j**4 + 243064*j**3 - 3691291236*j**2 - 36931144160*j - 92343054400 = 0?
-5, 30388
Factor -4*g**4 + 12716*g**3 + 25448*g**2.
-4*g**2*(g - 3181)*(g + 2)
Factor 3*k**3 + 1092*k**2 + 15705*k.
3*k*(k + 15)*(k + 349)
Find i, given that 4*i**3 + 5984*i**2 + 53612*i + 118960 = 0.
-1487, -5, -4
Let -z**2/3 + 54586*z/3 - 744907849/3 = 0. What is z?
27293
Factor -g**3/12 + 703*g**2 - 5927695*g/4 - 17799961/6.
-(g - 4219)**2*(g + 2)/12
Solve -4*y**2 + 266*y - 516 = 0.
2, 129/2
Factor -4*f**3 + 704*f**2 - 2084*f + 1384.
-4*(f - 173)*(f - 2)*(f - 1)
Solve 4*f**2/9 + 400120*f/9 + 10006000900/9 = 0.
-50015
Factor -5*t**3 - 3428*t**2 - 115628*t + 46800.
-(t + 36)*(t + 650)*(5*t - 2)
Find v such that 3*v**2/2 + 1510401*v/2 + 755199 = 0.
-503466, -1
What is z in 3*z**5 - 36*z**4 + 144*z**3 - 240*z**2 + 144*z = 0?
0, 2, 6
Factor -4*s**2 - 12640*s + 50624.
-4*(s - 4)*(s + 3164)
Solve -2*h**4/5 + 868*h**3/5 - 2592*h**2/5 + 2588*h/5 - 862/5 = 0.
1, 431
Factor 2*c**5/7 - 7486*c**4/7.
2*c**4*(c - 3743)/7
Solve -2*u**5/17 + 54*u**4/17 + 1514*u**3/17 - 16078*u**2/17 + 44688*u/17 - 30176/17 = 0 for u.
-23, 1, 4, 41
Factor -3*k**2 - 150*k + 477.
-3*(k - 3)*(k + 53)
Let w**3/3 + 1810*w**2 - 43632*w = 0. What is w?
-5454, 0, 24
Factor 25*m**4 + 6490*m**3 - 2600*m**2.
5*m**2*(m + 260)*(5*m - 2)
Let -11*a**2/9 + 145*a/9 + 52/3 = 0. Calculate a.
-1, 156/11
Find y such that -y**4 - 45702*y**3 - 522259597*y**2 - 2088489996*y - 2088307204 = 0.
-22849, -2
Factor 4*w**4 - 56*w**3 - 448*w**2 + 5120*w.
4*w*(w - 16)*(w - 8)*(w + 10)
Factor -q**3/6 + 266*q**2/3 - 3685*q/6 + 875.
-(q - 525)*(q - 5)*(q - 2)/6
Factor 4*q**3 + 27808*q**2 - 306332*q + 278520.
4*(q - 10)*(q - 1)*(q + 6963)
Determine g, given that g**2/4 + 5511*g - 22045/4 = 0.
-22045, 1
Determine a, given that -2*a**4 + 6*a**3 + 4800*a**2 - 4808*a - 9600 = 0.
-48, -1, 2, 50
Find f such that -f**4/5 + 2859*f**3 + 71532*f**2/5 - 457636*f/5 + 102960 = 0.
-9, 2, 14300
Solve 2*f**2 + 1156*f + 31842 = 0.
-549, -29
Determine v, given that 51*v**3 - 10304*v**2 - 9949*v + 406 = 0.
-1, 2/51, 203
Factor 363*x**3/2 - 17886*x**2 - 26304*x - 9600.
3*(x - 100)*(11*x + 8)**2/2
Determine w, given that 2*w**2 - 682*w - 12924 = 0.
-18, 359
Solve -3*y**2 - 894*y - 3528 = 0 for y.
-294, -4
Let 4*h**4 + 11859*h**3 + 1351251*h**2 - 1704634*h + 341520 = 0. What is h?
-2846, -120, 1/4, 1
Factor p**2/4 - 235*p/4 + 1075.
(p - 215)*(p - 20)/4
Determine q, given that -3*q**2 - 516*q + 12159 = 0.
-193, 21
Find r, given that 614*r**3 + 602*r**2/3 - 4*r/3 = 0.
-1/3, 0, 2/307
Let 5*o**3 - 335*o**2 + 2710*o - 5800 = 0. Calculate o.
4, 5, 58
Factor 23763*s**5 - 211731*s**4 + 622425*s**3 - 584361*s**2 - 56376*s - 1296.
3*(s - 3)**3*(89*s + 4)**2
Solve 183*d**3 + 7125*d**2 - 15474*d + 984 = 0.
-41, 4/61, 2
Solve -p**5/5 - 1274*p**4/5 + 511*p**3 + 3828*p**2/5 = 0 for p.
-1276, -1, 0, 3
Suppose -5*j**4 + 2790*j**3 - 16605*j**2 + 24860*j - 11040 = 0. Calculate j.
1, 4, 552
Let 3*x**4 + 1677*x**3 - 115506*x**2 = 0. What is x?
-621, 0, 62
Factor 3*o**3 - 18822*o**2 + 29541120*o - 59006976.
3*(o - 3136)**2*(o - 2)
Determine k, given that -3*k**5 + 618*k**4 + 5760*k**3 + 9750*k**2 - 16125*k = 0.
-5, 0, 1, 215
Determine d, given that -53*d**4/5 + 108*d**3/5 + 1639*d**2/5 + 1422*d/5 - 56/5 = 0.
-4, -1, 2/53, 7
Solve 5*x**3 - 11785*x**2 - 35390*x - 23600 = 0.
-2, -1, 2360
Determine t so that -4*t**2 - 12368*t/3 + 4124/3 = 0.
-1031, 1/3
Factor 4*h**3/9 + 628*h**2/9 - 28568*h/9 + 3104.
4*(h - 36)*(h - 1)*(h + 194)/9
Factor -a**3 - 243*a**2 - 240*a + 484.
-(a - 1)*(a + 2)*(a + 242)
Determine y so that -y**2/7 - 1249*y + 8744/7 = 0.
-8744, 1
Suppose -4*d**3 - 2457568*d**2 - 377479987220*d - 754950144200 = 0. What is d?
-307195, -2
Find r such that r**5 - 235*r**4 + 1387*r**3 - 2989*r**2 + 2752*r - 916 = 0.
1, 2, 229
Factor -g**4/4 - 9*g**3 + 144*g**2.
-g**2*(g - 12)*(g + 48)/4
Determine c so that c**5/2 - 3*c**4 - 487*c**3/2 - 1080*c**2 = 0.
-16, -5, 0, 27
Let -s**5/5 - 3026*s**4/5 + 42608*s**3/5 + 29194*s**2 + 152017*s/5 + 10336 = 0. What is s?
-3040, -1, 17
Suppose 24*y**2 + 284*y + 840 = 0. What is y?
-6, -35/6
What is y in -2*y**3/9 + 152*y**2/9 + 23432*y/9 + 91168/9 = 0?
-74, -4, 154
Factor -5*t**3 + 4105*t**2 + 12350*t + 8240.
-5*(t - 824)*(t + 1)*(t + 2)
Suppose 21*a**2 + 25975*a - 2474 = 0. What is a?
-1237, 2/21
Suppose -2*j**2 + 404470*j + 404472 = 0. What is j?
-1, 202236
Let -6*a**5 - 7864*a**4 - 106744*a**3 - 506604*a**2 - 1004418*a - 700380 = 0. What is a?
-1297, -6, -3, -5/3
Solve 2*f**4 - 590*f**3/3 + 6018*f**2 - 53054*f - 114308/3 = 0 for f.
-2/3, 17, 41
Suppose 405*h**4 - 33165*h**3 + 61640*h**2 - 35280*h + 6400 = 0. What is h?
4/9, 1, 80
Determine h, given that 2*h**2 + 247846*h + 743520 = 0.
-123920, -3
Solve -3*j**4/2 - 393*j**3/2 + 1071*j**2 + 6816*j - 16320 = 0.
-136, -5, 2, 8
Factor -3*x**3 + 42*x**2 + 9117*x + 9072.
-3*(x - 63)*(x + 1)*(x + 48)
Suppose 3*t**4 - 834*t**3 - 6813*t**2 - 14556*t - 8580 = 0. What is t?
-5, -2, -1, 286
Factor -4*t**5 - 316*t**4 + 1680*t**3.
-4*t**3*(t - 5)*(t + 84)
Factor f**2/6 + 9139*f/6 + 50204/3.
(f + 11)*(f + 9128)/6
Let 4*x**4/5 - 35208*x**3/5 + 70404*x**2/5 - 7040*x = 0. Calculate x.
0, 1, 8800
Let -5*z**5 - 865*z**4 + 9925*z**3 - 35655*z**2 + 41400*z = 0. Calculate z.
-184, 0, 3, 5
Determine x, given that 1444*x**5 - 504260*x**4 + 42259360*x**3 + 311381920*x**2 - 66956480*x + 3548608 = 0.
-7, 2/19, 178
What is p in -p**5/7 - 761*p**4/7 - 3022*p**3/7 + 4546*p**2/7 + 3023*p/7 - 3785/7 = 0?
-757, -5, -1, 1
What is z in -z**3 - 12519*z**2 = 0?
-12519, 0
What is g in 35*g**5/6 - 126017*g**4/6 - 21611*g**3/2 + 54017*g**2/6 - 3601*g/3 = 0?
-1, 0, 1/5, 2/7, 3601
Find i, given that -i**3/11 + 270008*i**2/11 - 540013*i/11 + 24546 = 0.
1, 270006
Find n, given that 4*n**4 + 168*n**3 + 1760*n**2 - 168*n - 1764 = 0.
-21, -1, 1
Factor -3*t**2/2 - 81*t/2 + 4515.
-3*(t - 43)*(t + 70)/2
Solve 5*j**3 - 245*j**2 - 11680*j - 103680 = 0 for j.
-16, 81
Factor -2*k**2 + 90*k - 88.
-2*(k - 44)*(k - 1)
Factor n**3/5 - 319423*n**2/5 + 638843*n/5 - 319421/5.
(n - 319421)*(n - 1)**2/5
Suppose -2*l**5/15 - 24*l**4/5 - 100*l**3/3 - 24*l**2 + 502*l/15 + 144/5 = 0. What is l?
-27, -8, -1, 1
Determine p, given that -5*p**2 - 609050*p - 18547095125 = 0.
-60905
Solve 9*w**5 - 127*w**4 + 130*w**3 = 0 for w.
0, 10/9, 13
Determine h, given that 4*h**2/7 + 1386548*h/7 - 1386552/7 = 0.
-346638, 1
What is b in -245*b**5 - 63070*b**4 - 3995200*b**3 + 8244640*b**2 = 0?
-908/7, 0, 2
Suppose -b**4 - 235774*b**3 - 13897580541*b**2 - 27794453764*b - 13897108996 = 0. What is b?
-117886, -1
Factor -5*w**4 + 51135*w**3.
-5*w**3*(w - 10227)
Let -2*v**2/5 + 9969*v/5 - 4984/5 = 0. What is v?
1/2, 4984
Suppo | {
"pile_set_name": "DM Mathematics"
} |
t is the millions digit of 12175839?
2
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8
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0
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5
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9
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9
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3
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0
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7
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8
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1
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2
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9
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7
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3
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1
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1
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3
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6
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6
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9
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1
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2
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0
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6
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4
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0
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4
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8
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4
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1
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0
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4
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3
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2
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9
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6
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5
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0
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9
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8
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1
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2
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5
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9
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0
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1
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4
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9
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1
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3
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6
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7
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6
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0
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8
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5
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3
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3
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2
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8
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0
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8
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5
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7
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5
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3
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9
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2
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3
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3
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9
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7
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6
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8
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3
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0
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5
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5
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6
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8
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6
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3
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9
What is the ten thousands digit of 2134536?
3
What is the hundreds digit of 282025?
0
What is the thousands digit of 9835991?
5
What is the hundred thousands digit of 122910?
1
What is the hundred thousands digit of 16670434?
6
What is the tens digit of 12695818?
1
What is the thousands digit of 587209?
7
What is the tens digit of 684023?
2
What is the hundreds digit of 28304?
3
What is the thousands digit of 27608?
7
What is the ten thousands digit of 1232920?
3
What is the ten thousands digit of 399349?
9
What is the thousands digit of 4760690?
0
What is the hundreds digit of 3093169?
1
What is the ten thousands digit of 892791?
9
What is the tens digit of 1749464?
6
What is the tens digit of 36189?
8
What is the units digit of 9866064?
4
What is the hundreds digit of 16694126?
1
What is the hundreds digit of 276353?
3
What is the thousands digit of 1042974?
2
What is the units digit of 731168?
8
What is the thousands digit of 5410939?
0
What is the tens digit of 13571301?
0
What is the hundred thousands digit of 465781?
4
What is the ten thousands digit of 159038?
5
What is the millions digit of 1200232?
1
What is the units digit of 960901?
1
What is the tens digit of 2243653?
5
What is the hundreds digit of 866?
8
What is the hundred thousands digit of 647674?
6
What is the ten thousands digit of 1926576?
2
What is the hundred thousands digit of 276834?
2
What is the millions digit of 1048360?
1
What is the thousands digit of 1150137?
0
What is the tens digit of 131961?
6
What is the units digit of 476181?
1
What is the units digit of 1606339?
9
What is the ten millions digit of 11241440?
1
What is the tens digit of 132323?
2
What is the units digit of 8587488?
8
What is the ten thousands digit of 4240175?
4
What is the thousands digit of 924039?
4
What is the tens digit of 1801835?
3
What is the units digit of 29480350?
0
What is the tens digit of 5102504?
0
What is the hundreds digit of 155871?
8
What is the units digit of 2631799?
9
What is the thousands digit of 266178?
6
What is the units digit of 14743350?
0
What is the hundred thousands digit of 23443583?
4
What is the tens digit of 549380?
8
What is the units digit of 1343939?
9
What is the hundred thousands digit of 788890?
7
What is the tens digit of 1088413?
1
What is the thousands digit of 1443839?
3
What is the hundreds digit of 2338388?
3
What is the tens digit of 187066?
6
What is the units digit of 239265?
5
What is the millions digit of 11405279?
1
What is the hundreds digit of 609175?
1
What is the ten thousands digit of 2099637?
9
What is the ten thousands digit of 23704421?
0
What is the thousands digit of 2025143?
5
What is the hundreds digit of 1764917?
9
What is the hundred thousands digit of 485797?
4
What is the units digit of 7789631?
1
What is the tens digit of 65122?
2
What is the tens digit of 80633?
3
What is the units digit of 16833507?
7
What is the hundreds digit of 3795545?
5
What is the millions digit of 6327441?
6
What is the units digit of 902405?
5
What is the units digit of 3485616?
6
What is the ten thousands digit of 823345?
2
What is the hundreds digit of 1747088?
0
What is the tens digit of 65615?
1
What is the hundreds digit of 569708?
7
What is the tens digit of 6459688?
8
What is the thousands digit of 11892658?
2
What is the units digit of 962696?
6
What is the thousands digit of 379970?
9
What is the hundred thousands digit of 3018164?
0
What is the hundreds digit of 18892023?
0
What is the thousands digit of 1916049?
6
What is the ten thousands digit of 3223765?
2
What is the ten thousands digit of 1008364?
0
What is the thousands digit of 27533285?
3
What is the thousands digit of 710129?
0
What is the tens digit of 105259?
5
What is the tens digit of 7143282?
8
What is the hundreds digit of 273329?
3
What is the thousands digit of 612075?
2
What is the millions digit of 1559855?
1
What is the hundreds digit of 1138909?
9
What is the units digit of 41978?
8
What is the thousands digit of 748055?
8
What is the hundred thousands digit of 1253288?
2
What is the hundred thousands digit of 607037?
6
What is the ten thousands digit of 2357267?
5
What is the millions digit of 16583952?
6
What is the ten thousands digit of 8946076?
4
What is the ten thousands digit of 16929624?
2
What is the thousands digit of 1055150?
5
What is the ten thousands digit of 430378?
3
What is the ten thousands digit of 6082139?
8
What is the tens digit of 575065?
6
What is the hundred thousands digit of 239032?
2
What is the units digit of 121953?
3
What is the units digit of 1272022?
2
What is the units digit of 7757784?
4
What is the thousands digit of 6571175?
1
What is the hundreds digit of 7164 | {
"pile_set_name": "DM Mathematics"
} |
= 0, 0 = 4*q - 2*f - 6. Suppose -3*b + 0*b + 33 = 0. Let x(o) = -o**3 + 8*o**2 - 6*o - 2. Let j be x(7). Solve q*h = j + b for h.
4
Let w be ((-3)/2)/(6/(-32)). Let u(n) = -3*n - 5. Let f be u(-3). Let y = f + w. Solve y = -h + 5*h for h.
3
Let v = 1 + -1. Suppose 0*d + 3*d - 6 = v. Suppose -3*g + 5*g + 2 = 2*k, -4*k = d*g + 2. Solve 3*q + 9 + 0 = k for q.
-3
Let j be (45/(-12))/(2/8). Let r = -9 - j. Solve z - r = -2*z for z.
2
Suppose h - v = 12, -3*h = -0*h - 5*v - 30. Suppose -q + 6*q - h = 0. Let t be (-46)/(-4) + q/6. Solve 0 = x + 2*x - t for x.
4
Let k(m) = -m**3 + 6*m**2 + 17*m - 7. Let s be k(8). Solve -s = z - 2 for z.
1
Suppose 2*j - 10 = -5*p, 5*j + 0*p - 25 = 3*p. Suppose 0 = j*w - 8*w + 12. Solve -w = 3*b - 2*b for b.
-4
Let l(c) = -4*c - 8. Let k be l(-3). Solve 8*p - k*p = 0 for p.
0
Let m(c) = 9*c - 71. Let h be m(8). Solve n + h = -3 for n.
-4
Let y be 285/(-30) + 3/(-2) + 2. Let g(q) be the second derivative of q**4/12 + 3*q**3/2 - q. Let i be g(y). Solve o + i = 2 for o.
2
Suppose 0 = -l + 4*u - 2*u + 6, 5*u = 0. Solve l*s = 4*s + 8 for s.
4
Let g = 9 - 5. Suppose -5*u = -g*v + v - 6, -2*u - 3 = -3*v. Suppose -50 = -5*i + 5*w, -5*i - 3*w = -0*i - 26. Solve -u*s + i = -5 for s.
4
Let n(u) = u**2 - 3*u - 10. Let l be n(5). Solve l*x + 4*x = -12 for x.
-3
Suppose -7 + 61 = 9*t. Solve t*k + 20 = 2*k for k.
-5
Let x(t) = 2*t + 2. Let q be x(0). Solve q*y = -2*y for y.
0
Let h(c) be the third derivative of c**5/10 - c**3/6 + 2*c**2. Let g be h(-1). Solve -11 = g*z - 36 for z.
5
Suppose 4*z = k + 2*z + 2, -k + 2 = 2*z. Solve k*l = -5*l for l.
0
Let n = 38 + -36. Solve -3*x = n*x + 5 for x.
-1
Suppose -2*m + 5*m = 15. Solve m*x = x + 8 for x.
2
Let j be (-60)/(-35) + 6/21. Suppose -j*q + 2*r = -14, -q + 4*r - 6 = -22. Solve 0 = -x + 3*x + q for x.
-2
Suppose -3*v + 5*w + 14 = 0, 7 - 21 = -4*v + 2*w. Suppose 4*c - d - d = 48, 26 = v*c + d. Solve 0 = 2*p - 0*p - c for p.
5
Let z(f) = -2*f**3 - 10*f**2 + f + 8. Let x be z(-5). Solve -x*t = t for t.
0
Suppose 10*m - 2 = 8*m. Solve 5*a = -m - 9 for a.
-2
Let o be 7 + 0 + -6 - -1*4. Let p(u) = -u. Let d be p(-3). Solve o = -t + d for t.
-2
Suppose -1 = -i - 0*i. Let f(m) = 2*m**3 + 2*m**2 - 1. Let g be f(i). Suppose -g*j = -j. Solve 2*d + j = 6 for d.
3
Let d = 8 - 4. Suppose x - 5 = -d. Solve -2*h + x + 1 = 0 for h.
1
Let l(q) = 2*q**2 + 11*q - 2. Let b be l(-6). Suppose b*a = 8*a - 12. Solve a = -5*g - 12 for g.
-3
Suppose 4*l = -a + 11, 4*l + 1 = a + 2*a. Solve i + a = 6 for i.
3
Suppose -34 = -5*y - 9. Suppose 2*u - 26 = 2*c, y = -c - 0*c. Solve -3*k + u*k = 0 for k.
0
Let f be (-3 - -2)/((-2)/6). Let t be 20/4 - (7 + -3). Solve t = -f*w - 11 for w.
-4
Suppose -w + 3*w - 8 = 0. Let t be (0 - -1)*(3 - -8). Let m = t - w. Solve 3*x = m*x for x.
0
Suppose w = -4*h - 3, 3*w - h = 4*w. Let s be (w - 0/(-1))*13. Let f = s + -9. Solve -f - 1 = r for r.
-5
Suppose -20 = 5*z, i + 2*i = 2*z + 8. Solve i*p = 4*p + 8 for p.
-2
Let n = 35 + -33. Solve -n*o + 10 = 3*o for o.
2
Let i be (-6 - -3) + (-12)/(-4). Let j = 5 - i. Solve 0*h = h + j for h.
-5
Suppose -3*r + 0*r = r. Let v(p) = p - p**2 - 2 + 0 + 3*p**2. Let k be v(-2). Solve r = -3*f + f - k for f.
-2
Suppose -l + 3*l - d = 12, 4*l + d = 18. Solve -l*o + 2 + 8 = 0 for o.
2
Let a(g) = -g - 1. Let m be a(-5). Suppose -2*k - 2*k = -124. Suppose 4*f + 32 = 2*q, 5*f + k = 3*q - 16. Solve -m + q = 2*u for u.
5
Let i(r) = -4*r**3 - r**2 - r. Let u be i(-1). Solve -3*a - 2 = u for a.
-2
Let s(v) = v**2 + 9*v + 3. Let r be s(-9). Suppose 1 = h - r. Solve -h*m = -0*m for m.
0
Let j(p) = p**3 + 3*p**2 - 4*p + 3. Let c be j(-4). Suppose y + 0*y - 3*b = -3, c*y + 2*b = 13. Solve -a = y*a + 4 for a.
-1
Let k = 118 - 117. Solve -k = 2*g - 5 for g.
2
Suppose -7 = -b + 2*b. Let l = b - -8. Solve -m - l = 4 for m.
-5
Let j(u) = 4*u**3 - u + 1. Let b be j(1). Suppose 4*y + b = 6*y. Solve y*w = 4 - 0 for w.
2
Suppose 5*f + 25 = 0, -q + 5*f + 26 = -3. Solve 4*i + 0 = -q for i.
-1
Let z(m) = -7*m - 5. Let d be z(-2). Let i = 2 - 0. Solve i*s - d = -3 for s.
3
Suppose -2*n - 4*j - 5 = -19, -4*n + 3*j - 5 = 0. Let h(x) = 0*x - x**3 + x + 0*x**3 + 5*x**2 - n. Let r be h(5). Solve 3*z = 4*z - r for z.
4
Let c be 2 - 0 - (0 + 0). Suppose -10 = -9*l + 8. Suppose -a + l = c*f, -f - 4*f + 5 = 4*a. Solve -3*o + 8*o - 10 = a for o.
2
Let t(p) = p**2 - 16*p + 2. Let z be t(16). Solve 5*b + 9 = z*b for b.
-3
Suppose -2*g + g = 0. Suppose 3*i - 6 - 3 = g. Solve 0 = -i*l + 7*l for l.
0
Let w(y) = 15*y**3 - y**2 + y - 1. Let g be w(1). Suppose -b + 4 = 2. Solve b*u + g - 6 = 0 for u.
-4
Let c(r) be the third derivative of -r**4/24 + 2*r**3/3 - 3*r**2. Let l be c(3). Solve -4*t = 21 - l for t.
-5
Suppose v + 21 = 4*c, c - 2*v = -3*v - 1. Solve 0 = 4*j - 4 - c for j.
2
Suppose -32 = -0*y - 4*y. Let b(u) = 5*u**2 - 14*u. Let o be b(3). Solve o*g + y + 7 = 0 for g.
-5
Let j = 67 + -65. Solve 10 = j*c - 0 for c.
5
Suppose q - 2 = 1. Suppose -3*i + 15 = -5*m, m = -4*i + q*m + 6. Let t be (-15)/2*(-4)/6. Solve 3*y - 4*y - t = i for y.
-5
Suppose -x + 0*x = 3*a - 6, 3*x = -4*a + 3. Solve -a*f = -6*f + 6 for f.
2
Suppose -15 = 2*u + u. Let k = -5 - u. Suppose 5 + 5 = 5*m. Solve k = -m*g + 4 - 14 for g.
-5
Suppose 34*r - 33*r = 3. Solve -4 - 5 = -r*z for z.
3
Let u be ((-2)/6*0)/(-2). Suppose 5*s + f + 2*f + 3 = u, -2*s = -3*f - 3. Solve -3*l + s*l = -9 for l.
3
Suppose -4*r = -27 - 5. Suppose -12*y + r*y + 32 = 0. Solve 4*u + 0*u + y = 0 for u.
-2
Let r(x) = x + 2. Let m(g) = -g + 1. Let f be m(-5). Let d be r(f). Solve -w - w + d = 0 for w.
4
Let f(y) = y**3. Let t be f(0). Suppose 4 = -n - 2*j + 2, n - 12 = 5*j. Suppose t = -n*i, 2*d - 6*i + 2*i = 2. Solve 2*k - k = d for k.
1
Let k = -2 - -5. Suppose 0 = -d - d + 8. Solve k*t - 3 = d*t for t.
-3
Let a be 2 - (1 + 2 + -1). Let s(y) = 2*y**2 + 29*y - 17. Let o(w) = -w**2 - 14*w + 8. Let g(p) = 13*o(p) + 6*s(p). Let u be g(-8). Solve -u = b - a for b.
-2
Let v = -14 - -12. Let k = 8 + v. Solve 0 = -5*a - 19 - k for a.
-5
Let z be (-8)/6*3/(-2). Let c be 1 + 0 - (-2 - z). Solve 0 = -0*h + c*h for h.
0
Let g(d) = -8*d**3 - 11*d**2 + 9*d + 11. Let a(y) = -7*y**3 - 10*y**2 + 8*y + 10. Let z(x) = -7*a(x) + 6*g(x). Let n be z(-4). Solve -15 + 7 = -n*f for f.
2
Let q = -6 + 9. Suppose 0 = -2*f + 3*p + 3, p - 12 = 7*f - 2*f. Let l be 2 + (0 + 6)/f. Solve -q*b = -l*b - 9 for b.
3
Suppose -3*z + 5*z = 3*d - 35, d - 5*z = 3. Let i = -8 + d. Solve i*f - 11 = -1 for f.
2
Suppose 8 = 4*j - 0*j. Suppose m - 12 = -j*m. Solve -2*r + 8 = -m*r for r.
-4
Suppose m - 4 + 0 = 0. Let z = m + -8. Let o be ((-3)/(-4))/((-1)/z). Solve o*s + 20 = -2*s for s.
-4
Let h be -3 - (-3 + 0 - 5). Let s = 3 - h. Let o = 4 + s. Solve 25 = o*r + 3*r for r.
5
Let b(l) = -l - 1. Let u be b(8). Let c = u - -9. Let k be c/3 - 2 - -11. Solve j - k = 4*j for j.
-3
Suppose 2*t - 5*y = 35, 3*t - 38 + 3 = 4*y. Solve 0*v - t*v = 0 for v.
0
Suppose 5*m + 1 = 31. Suppose a + 0*a = 3. Suppose -l - 5 = a*y - 1, 0 = -2*y - m. Solve 6 + 14 = -l*c for c.
-4
Suppose x = 4*x + 9. Let v be (-8)/(x - (1 - 2)). Solve 4*s - 16 + v = 0 for s.
3
Let k be (-86)/(-8) - (-48)/(-64). Solve 0 = -z + 11 - k for z.
1
Let k(j) = j**3 + 5*j**2 + 2. Let s be k(-5). Suppose -s*f + f = -8. Solve 0 = 2*m + f - 4 for m.
-2
Let z(l) = l**3 - l**2 - l. Let g be z(0). Solve 8 = -g*x - 2*x for x.
-4
Let t = 90 + -89. Solve i + 2 = -t for i.
-3
Suppose -i + 2*r - 12 = -3*r, -2*r - 33 = 5*i. Let n be 3 - 32/(-4*1). Let z = i + n. Solve z + 6 = 2*b for b.
5
Let n(j) = -j**3 + 5*j**2 + 7. Let y be n(5). Let i = -10 + y. Let g be 0 + 6*(-10)/i. Solve g = -0*u - 5*u for u.
-4
Let a(o) = 3*o**2 - 3*o + 4*o**2 - 4*o**2 - 4*o**2. Let f be a(-3). Solve f*x = x for x.
0
Suppose -2*j + j = 0. Let x be (1 + j)/((-2)/(-8)). Solve 0 = f + x*f for f.
0
Let s(x) = x**3 - x**2 - x + 6. Let t be s(0). Let d = -63 - -65. Solve p + d*p = t for p.
2
Suppose 2*z - 28 = -4*i + 54, -i - 2*z = -16. Let s = 38 - i. Solve -3*p - s = -1 for p.
-5
Let g(u) be the first derivative of -u**2 - 9*u - 11. Let r be g(-6). Solve r*s = 2*s - 1 for s.
-1
Let m = 48 + -48. Solve 0*i + i + 4 = m for i.
-4
Let p(h) = -h**3 + h**2 - 2*h + 3. Let f be p(0). Solve -3*g = -f - 9 for g.
4
Suppose -5*b + 7 + 13 = 0. Suppose -12 = y - b*y. Let v(d) = 12*d | {
"pile_set_name": "DM Mathematics"
} |
*2 + 17*v - 27. Let y(k) = -11*k**2 + 25*k - 41. Let x(o) = -8*m(o) + 5*y(o). What is the hundreds digit of x(17)?
1
Let n(o) = o**2 - 23*o - 20. Let x be n(24). Suppose -454 = -5*s + x*u, u - 2 + 3 = 0. What is the tens digit of s?
9
Let k(x) = x**2 - 5*x - 8. Let t be k(6). Let y(d) = -d**2 - 5*d + 4. Let p be y(-6). What is the tens digit of t*(p - (-75)/(-6))?
2
Let a = 439 - -65. What is the hundreds digit of a?
5
Let i(f) = -5*f + 0 - 13 + f - 13*f. What is the hundreds digit of i(-7)?
1
What is the hundreds digit of (9/(-6))/(-3 + (-903)/(-302))?
1
Suppose -6*m + 4*m = 0. Suppose -2*c - 6 = m, -75 - 35 = -x - 4*c. Suppose 3 = -3*i, 2*i - 4*i + x = 4*y. What is the tens digit of y?
3
Let h be (54/(-7))/((-2)/168). Suppose -5*n = -n - l - 654, -4*n = -4*l - h. What is the tens digit of n?
6
Suppose -181 + 1255 = l + 2*w, 4*w = l - 1044. What is the thousands digit of l?
1
Suppose 1 - 6 = -2*p - q, -3*p + 15 = 3*q. Suppose -5*a - 400 = -5*y, p = 5*y + 4*a - a - 416. Let w = -53 + y. What is the units digit of w?
9
Suppose -793*l = -798*l + 9270. What is the hundreds digit of l?
8
Let a(z) = 14*z**3 + 2*z**2 - 1. Let f be a(1). Suppose 16*b - 16 = f*b. Suppose 0 = -4*j + 4, -2*j - b = -r - 6*j. What is the units digit of r?
2
Let w(y) = -y**3 + y**2 - 2*y + 150. Let m be w(0). Let j = -90 + m. What is the tens digit of j?
6
Suppose 20*f = 25*f + 70. Suppose 175 = -9*y + 4*y. Let w = f - y. What is the units digit of w?
1
Let z be (-1182)/27 + (-2)/9. Let c = z - -8. Let r = c + 57. What is the tens digit of r?
2
Let k(r) = -r**2 + 4*r + 1. Let t be k(3). Suppose -g - 4*h + 5 = -3*h, 0 = 4*h - t. Suppose 0*v + 36 = g*v. What is the units digit of v?
9
Let b(c) = -c**2 + 1. Let z(v) be the first derivative of 2*v**3/3 + 5*v**2/2 - 2*v + 2. Let l(k) = -6*b(k) - 2*z(k). What is the tens digit of l(7)?
2
Let r(a) = 66*a - 118. What is the units digit of r(5)?
2
Let o(y) = 52*y - 37. Let s(f) = -f**2 + 3*f + 15. Let r be s(5). What is the hundreds digit of o(r)?
2
Suppose -3*r + 3*u + 393 = -0*u, -5*r - 4*u = -682. Suppose -3*t + t = -r. What is the units digit of t?
7
What is the units digit of (-6)/9*(-34515)/130?
7
Let j be -2 - (1 - 4) - -3. What is the tens digit of (-24)/(-18)*138/j?
4
Let u be (1 + 0)/(1/27). Suppose u - 7 = 5*r. Suppose 26 = l + w, -w + 78 = r*l - l. What is the units digit of l?
6
Suppose y - 243 = 5*u, u = 2*y + y - 771. Suppose -x - y = -4*x. What is the tens digit of x?
8
Let t(b) be the second derivative of b**6/360 - b**3/2 - 2*b. Let p(z) be the second derivative of t(z). What is the units digit of p(-3)?
9
Let u = -1945 + 3361. What is the tens digit of u?
1
Let a(j) = 10*j - 11*j + 0 + 3. Let q be a(-3). Suppose -q*t + 145 = -t. What is the units digit of t?
9
Let h(j) = 8*j - 12. Let w be h(6). Suppose g = 4*g - w. Suppose 0*i = -4*i + g. What is the units digit of i?
3
Suppose 15 - 159 = -4*t. Suppose -5*h + 2*h = t. What is the units digit of (h - (-1 + -2))*-1?
9
Let r = 254 + -252. What is the units digit of r?
2
Let l(o) = 3*o + 13. Suppose -2*d - 6 = 0, -5*m + 0*d + 5*d = 70. Let v = m - -24. What is the units digit of l(v)?
4
Let o = 8257 - 5043. What is the hundreds digit of o?
2
Let k be ((-668)/6)/(4/(-6)). Suppose 0 = 3*f - 3*r - k - 430, 2*f + 3*r = 423. What is the hundreds digit of f?
2
Let w(l) = 15*l**2 - 1. Let t(y) = 8*y**2 - 1. Let r(h) = 5*t(h) - 2*w(h). What is the units digit of r(-3)?
7
Let x(m) = 100*m + 75. What is the hundreds digit of x(7)?
7
What is the tens digit of 4/(-2) - (-6212 + 2)/3?
6
Let h(d) = -d + 16 - 10*d + 16 + 0. What is the hundreds digit of h(-8)?
1
Suppose 8*k - 165 = 3*k. Suppose -s + k = -3*o, 0 = -0*s + 5*s - 15. Let b = o + 38. What is the units digit of b?
8
Let p(c) be the second derivative of -7*c**3/2 - 9*c**2/2 + 34*c. What is the units digit of p(-2)?
3
Let x = -58 + 100. Suppose -k = -4*k + x. What is the units digit of k?
4
Let z = -9 + 9. Suppose f = -z*f. Suppose -5*s + d + 48 = f, -4*s = -4*d - 50 + 2. What is the units digit of s?
9
Let q(f) = 16*f + 146. What is the units digit of q(-9)?
2
Suppose -3*c + 2*j + 2*j = -26, 2*j + 20 = 5*c. Suppose -2*f + 290 = -5*k + 1060, -2*k + c*f = -302. What is the units digit of k?
6
Let h be ((-3 + 3)/(-4))/1. Suppose h = -3*a + 12 + 3. Suppose 2*p - 1 - a = 0. What is the units digit of p?
3
Let l = 1603 + -1113. What is the tens digit of l?
9
Let l(m) = 131*m**2 - 14*m - 2. What is the hundreds digit of l(2)?
4
Suppose -2*h = 6 + 4. Let y = 9 + h. Suppose 3*o - 49 = -4*x, -2*x = -y*o - 0*x + 80. What is the tens digit of o?
1
Let k(z) = z + 8. Let p be k(-3). Suppose 4*f + 11 = -c, p*c = c - 4*f - 8. What is the units digit of c?
1
Let r(j) = j**3 + j**2 - 2*j. Let t be r(-2). Let z = 41 + -39. Suppose t = 7*d - z*d - 115. What is the units digit of d?
3
Let x(w) = 23*w - 75. What is the units digit of x(18)?
9
Suppose -10*a - a = 1177. Let p = 170 + a. What is the tens digit of p?
6
Let r be (-126)/28*4/(-3). Let k be 8/14*1113/r. Suppose -2*w - 4*l + 14 + k = 0, -w - 3*l + 60 = 0. What is the tens digit of w?
6
Suppose 5*x = 4*m + 5986, 8*m - 6*m = -4*x + 4794. What is the thousands digit of x?
1
Let t = -5203 - -8261. What is the hundreds digit of t?
0
Let l(x) = 6*x**2 + 14*x + 10. Let a(z) = 3 + 3*z**2 - 1 + 8 + 13*z + 2*z**2. Let d(m) = 7*a(m) - 6*l(m). What is the tens digit of d(7)?
1
Let k(v) = -v**3 - 10*v**2 - 8*v - 8. Let s be k(-12). Suppose s = 4*i - 0*i. What is the units digit of i?
4
Let u(k) be the third derivative of k**6/180 + k**5/20 + k**4/4 + 4*k**3/3 - 12*k**2. Let j(i) be the first derivative of u(i). What is the tens digit of j(-6)?
4
Let x(q) = q**3 - 42*q**2 - 30*q + 23. What is the units digit of x(43)?
2
Suppose 3*m + 3*u = 245 + 295, -5*u = 0. Suppose 3*c + m = 6*c + b, 0 = -3*c + b + 174. What is the tens digit of c?
5
Suppose c + 4*c - 110 = 0. Let m = c - 18. Suppose -123 = -3*q + x, m*q + q - 2*x - 205 = 0. What is the tens digit of q?
4
Suppose 0 = 4*z - 2*z - 3*k + 4127, -4*z = 5*k + 8199. What is the hundreds digit of 16/(-72) + z/(-18)?
1
Let k be 22 + -6 + (-2)/(-1). Suppose 21*j - 108 = k*j. Let w = -11 + j. What is the tens digit of w?
2
Let j(k) = 111*k - 92. What is the units digit of j(7)?
5
Let v(l) = 77*l**3 - 2*l**2 + l. Let c be v(1). Let y be -2 + (2 - 6/(-2)). Suppose -f - c = -y*f. What is the tens digit of f?
3
Suppose -3*j + 4*d + 1774 + 616 = 0, 0 = -3*j + d + 2393. What is the hundreds digit of j?
7
Let y(h) = -258*h + 20. What is the units digit of y(-7)?
6
Suppose 8 = 8*j - 16. Let l(z) = 25*z - 8. What is the units digit of l(j)?
7
Let a(j) = j**3 + 9*j**2 - 13*j - 12. Let u be a(-10). What is the tens digit of u/(-12)*820/(-6)?
0
Let r = 1225 - -535. What is the units digit of r?
0
Let d = -1355 + 3008. What is the hundreds digit of d?
6
Let w(q) = 28*q**3 + 28*q**3 - 2 - 55*q**3 - 3*q**2 + q. What is the tens digit of w(6)?
1
Let z(l) = -209*l**3 + 5*l**2 + 10*l - 2. What is the tens digit of z(-2)?
7
Suppose 4*m + k = 23, 2*m = 6*m - 5*k - 53. Suppose m*h = 9*h - 18. What is the units digit of h?
9
Let q be (-17)/(4 - (-63)/(-15)). Suppose -i + q = 4*k, 6*i = 2*i - 2*k + 368. What is the units digit of i?
3
Suppose -3*f - 2036 = 3*c - 7193, -4*f + 6*c + 6926 = 0. What is the hundreds digit of f?
7
Suppose -312 = -h + 5*y, -5*h + 4*y - 5*y + 1430 = 0. What is the hundreds digit of h?
2
Let i be 1*(6/(-2) - -4). What is the hundreds digit of (0 + 17)/(i/7)?
1
Suppose -7*n + 34 = -1. Suppose 3*a = 15, n*a - 2*a + 535 = 2*l. What is the hundreds digit of l?
2
What is the thousands digit of (-38568)/24*(-2 - -1)*1?
1
Let h = 47 + -34. Let a = h - 11. What is the tens digit of 14 + -4 + a/1?
1
Suppose -v + 4*c = -11, 0 = 3*c + 3 + 3. Suppose 69 = -v*i + 252. What is the tens digit of i?
6
What is the tens digit of (-1327)/(-5) + 7/(-5)?
6
Suppose 4*x = -0*x + 64. Let a = 1 - x. What is the units digit of ((-84)/a)/((-2)/(-5))?
4
Suppose -2270 = -2*l + o + 502, o + 5544 = 4*l. What is the thousands digit of l?
1
Suppose 12 = -3*i, 5*r + 3*i - 951 = 2*r. What is the tens digit of r?
2
Let d(o) = -56*o**2 - 11*o - 15. Let p(x) = 28*x**2 + 5*x + 7. Let b(g) = 6*d(g) + 13*p(g). Let h be 8/2 + (-33)/11. What is the units digit of b(h)?
8
Suppose 4*c = 7*c - | {
"pile_set_name": "DM Mathematics"
} |
/q + 2/(-4). Is 50/m*(-136)/(-10) prime?
False
Let u(n) = 801*n**2 + 98*n - 2. Is u(9) prime?
True
Suppose 4 = 2*n + 5*z - 3*z, 20 = -4*z. Let s(k) = k - 1. Let r be s(n). Let v(g) = -g**3 + 12*g**2 - 3*g - 7. Is v(r) a composite number?
False
Let q(u) = 5*u + 15. Let r(c) = -4*c - 15. Let p(y) = -2*q(y) - 3*r(y). Let z be p(-8). Is (-334 - z)*4/(-12) a prime number?
False
Let u be (-1)/(-4) + (-26200)/(-32). Let y be u/33 + 4/22. Let q = 10 + y. Is q composite?
True
Suppose y - 2*w - 2 = -9, -5*w - 35 = 5*y. Let m(a) be the second derivative of -a**5/20 - 5*a**4/12 - 2*a**3/3 + 7*a**2/2 - 8*a. Is m(y) a composite number?
True
Suppose 5 = 5*b, -3*g - 2*b = -4169 - 52476. Is g composite?
True
Let v = -2 - -3. Let c be (-5)/((-2 - v) + 2). Suppose -3*o = -2*j - 221, c*o + 5*j = o + 333. Is o composite?
True
Let w(c) = 185*c**3 + 2*c. Is w(3) prime?
False
Suppose 3*b + 3116 = -b. Let c = -1428 - b. Let x = c - -1190. Is x composite?
False
Let x = 6492 - 4183. Is x a composite number?
False
Is (-2 + 4 + -1)/((-1)/(-42865)) a prime number?
False
Let y(t) = -114*t - 11. Let j(r) = -r**3 - 11*r**2 - 2*r - 26. Let h be j(-11). Is y(h) composite?
True
Let o = 1787 - -798. Let s = 4386 - o. Is s a prime number?
True
Let m(v) = 1156*v**3 - 3*v**2 + v + 1. Let k be m(1). Suppose -k - 310 = -5*j. Is j composite?
False
Let r = 7 - 4. Let q(o) = -5*o + o**3 + 1 - 2*o**r + 0*o**3 + 0 + 5*o**2. Is q(-6) a prime number?
False
Suppose 1889*r = 1901*r - 195516. Is r a prime number?
False
Suppose 21 - 9 = 4*a. Suppose g = -a*q - g + 13459, 3*q - 3*g - 13464 = 0. Is q a composite number?
True
Is (2 - (0 + -1))*(-325177)/(-87) prime?
True
Let d = 8205 + 6166. Is d prime?
False
Is 3/96*12 - 30346/(-16) prime?
False
Suppose -2*b + 0*b - 2*g = 0, g = -2. Suppose -3*y = -x + 143, -b*y = 5*x - 631 - 84. Suppose 5 = -3*z + x. Is z a prime number?
False
Let t = 17761 + 6268. Is t prime?
True
Suppose -3*n - 3*v = -18, -9 = -2*n + v + 12. Suppose n*i - 321 = 156. Is i a composite number?
False
Suppose -4*l + 6*l + r - 42 = 0, 4*l = -4*r + 88. Let h be -724*(55/l - -1). Is h/(-9) + 16/(-24) a prime number?
False
Suppose -i + 14569 = -b, 72833 = -7*i + 12*i + b. Is i a composite number?
True
Suppose 4*s + 2*w = 8, -4*w = -2*w. Suppose -s*t + 11 = -5*h, -4*t + h + 67 = -0*h. Suppose -d + 113 = -t. Is d a prime number?
True
Let n = -21 + 23. Let d = -4 - n. Let g = 33 - d. Is g composite?
True
Let r(l) = 2*l - 6. Let b = 27 - 21. Let y be r(b). Suppose y*m + 7494 = 12*m. Is m a prime number?
True
Let p(n) = n**3 - 11*n**2 + 16*n - 14. Let q be p(11). Is 142*(q/12 + -5) composite?
True
Is 8886 - (5 - (6 + 0)) composite?
False
Let m be 3/((-12)/(-2)*(-4)/(-24)). Suppose 0 = -m*a + 3, n + a - 210 = 260. Is n a prime number?
False
Let z be (1/2)/((-3)/(-18)). Suppose -z*n + 8 + 4 = 0. Suppose -i + 785 = n*i. Is i a composite number?
False
Let q(y) = 13*y**2 + y + 7. Let c(l) = -l**3 + l**2 - l - 4. Let k be c(0). Is q(k) prime?
True
Let x(g) be the second derivative of 5*g**4/4 + g**3/3 + g**2 + 17*g. Is x(-1) composite?
True
Let z be 279/(-18) - (3/3)/(-2). Is 1/(-2*(z/(-3774))/(-5)) a composite number?
True
Suppose -y + 0 = -3. Suppose -5*s = -2*z - 5, 5*s = y*z - 0*z + 10. Let k = s - -8. Is k a prime number?
True
Suppose t = 3*l - 13795, 7*l - 8*l = 3*t - 4585. Is l a prime number?
True
Is ((-104)/16)/(-13)*319810 prime?
False
Suppose 20*n - 16*n - 111381 = q, 0 = -2*n + 2*q + 55692. Is n prime?
False
Suppose -10*t = i - 15*t - 4746, -18874 = -4*i - 2*t. Is i prime?
True
Is ((-58)/4)/(0 - (-6)/(-348)) a composite number?
True
Suppose -3*j = 3*q - 29 - 1633, 4*q - 2217 = -5*j. Is q a prime number?
False
Let u(r) = -11*r + 2. Let b be u(1). Is 79/(2/b*(-9)/4) prime?
False
Let o = 30158 - -15221. Is o prime?
False
Let s(d) be the first derivative of -41*d**2/2 - 2*d - 3. Is s(-11) a prime number?
True
Let p be (92/6)/(16/(-1560) - 0). Let m = p + 2577. Is m composite?
True
Let k = -314 - -568. Let t = 895 - k. Is t a prime number?
True
Suppose 0 = 5*i + 2*m - 1820, 3*m - 1083 = -5*i + 2*i. Let w = -205 + i. Is w a prime number?
False
Let g = -65 + 77. Suppose -g*r - 2219 = -15167. Is r prime?
False
Let n = 402 - 271. Let k = 203 - n. Let w = k + -50. Is w a composite number?
True
Let w = -11121 + 17408. Is w a prime number?
True
Suppose -5*j - a - 982 + 369 = 0, -2*a = j + 119. Let y = 136 - j. Is y prime?
False
Suppose 6*w - 2647 = 7823. Is w composite?
True
Suppose 3*x + 3*n - 3 = 0, 3 = -3*x - 8*n + 3*n. Suppose 3*u = 5*z - 508, -5*z + x*u = -z - 400. Suppose 41 = r - z. Is r a prime number?
False
Suppose 0 = -f - i + 8919, -5*f + 44607 = -0*i + 2*i. Is f prime?
True
Suppose 5*o - 3*o - 4*f = -4, 4*o = -4*f + 16. Suppose 5*v - 2877 = 3*b, 1162 = -0*v + o*v - 4*b. Let u = v - 256. Is u composite?
False
Suppose -16*t + 175161 + 152183 = 0. Is t prime?
False
Let m be (-54)/(-126) - (216/14 + -2). Let l = 328 - m. Is l a composite number?
True
Let k be 8/3 + (-3)/(-9). Suppose k*u + 16 = 7*u. Suppose 4*r + t + 84 = 233, -4*r + 152 = u*t. Is r composite?
False
Let u = -64 + 428. Suppose -2*c - 2*c = z - 294, 5*c + 3*z - u = 0. Is c a prime number?
False
Let o = 26 - 22. Let x be (-8)/(-6)*(7 - o). Suppose -x*n + 51 = 3*w, 4*w + n - 33 = 22. Is w a prime number?
True
Suppose 0 = -17*b + 20*b - 5316. Suppose -895 = -2*w - o, -3*o - o = -4*w + b. Is w a prime number?
False
Suppose 1519 + 9657 = 8*a. Is a a composite number?
True
Suppose -3*l - 840 = 9*l. Is (-14)/l - (-14228)/10 composite?
False
Let m be 42/20 - (-24)/(-240). Suppose 0 = -m*z + 581 + 5. Is z a composite number?
False
Suppose -14 - 16 = 2*c. Let r be 3/(2 - (-21)/c). Suppose 0 = r*i + 4*z - 779, i + 2*z - 628 = -3*i. Is i a composite number?
True
Let s be 1*(-2 + (3 - -130)). Suppose -2*h - s + 513 = 0. Is h composite?
False
Let u be 4*(3 + (-6)/3). Suppose 5562 = 5*d + 4*q - q, -2*d + q = -2227. Suppose 2*o - 448 = -2*f, 9*o = u*o + 2*f + d. Is o a composite number?
False
Let f(k) = 366*k**2 - k - 4. Let w be f(3). Suppose -p + w = 3*s, -3*p + 5*s + 5554 + 4335 = 0. Is p composite?
True
Suppose -4783 = 41*l - 42*l. Is l a composite number?
False
Suppose 6 = 3*f - 5*w - 11, -f + 3*w = -7. Is 1521/12 + 1/f prime?
True
Let b(c) = -c**3 + c**2 - c - 1. Let z(m) = 13*m**3 - 6*m**2 + 5*m + 6. Suppose -34*t + 15 = -37*t. Let v(n) = t*b(n) - z(n). Is v(-2) prime?
True
Let k = 17941 + -8648. Is k prime?
True
Suppose -2 = r - 8. Is 50/15*153/r a composite number?
True
Let s(t) = 6*t**2 - 2*t + 2 + 1 - 4*t + 5*t. Let v be s(-4). Suppose -f - 148 = -q - 6*f, 4*f = q - v. Is q prime?
False
Let x(b) = 129*b**3 - 5*b**2 + 6*b + 47. Is x(6) a composite number?
False
Let b(k) be the second derivative of 7*k**4/12 + 7*k**3/6 + 13*k**2/2 + 16*k. Is b(-6) a composite number?
False
Suppose -64 = -3*c + 19*c. Is ((-6)/9)/(c/39594) a composite number?
False
Suppose -26*f + 27*f - 4 = 0. Is 1654 + (4 - (f/(-4) - -2)) prime?
True
Suppose -32*t + 36*t - 64324 = 0. Let w = -11304 + t. Is w composite?
True
Let j be ((-1)/(-1))/(-1)*6. Let c = 9 + j. Suppose -c*d = -2*d - 787. Is d a composite number?
False
Suppose -3 = z - 0*z. Let t be (3 + -4 - z) + 111. Suppose 3*w - t + 20 = 0. Is w composite?
False
Let c = 97 - 94. Suppose 1266 = 3*f + c*f. Is f a prime number?
True
Let y(x) = 4*x**3 + x**2 - 2*x - 1. Let u be y(-3). Let o = u - -57. Let s = -23 - o. Is s a prime number?
False
Let q be 3*5/(-15) + 7. Suppose 5*x - q*x + 1679 = 0. Is x composite?
True
Let j(a) = a - 14. Let t be j(18). Suppose -6 = -2*h + t. Suppose h*q + 184 = 9*q. Is q composite?
True
Suppose -2*r + 3*r = 8. Suppose -i + 3*i + r = 0. Is -53*((-4 - i) + -3) a composite number?
True
Let l(j) = 3*j**3 - 5*j**2 - 11*j + 15. Let b be (-8 - -9) + 4 + 1. Is l(b) a composite number?
True
Suppose 0 = -3*o - 4*l + 1, -5*o + 3*o - 4 = 5*l. Suppose -o*y = -y. Suppose y = -4*w - 588 + 1544. Is w composite?
False
Let l(p) = 2*p**2 + 13*p - 19. Let z be l(-8). Suppose u = -2, 6393 = 2*y + z*u + 1465. Is y composite?
True
Let v(g) = -311*g**3 + 2*g - 2. Let t be v(2). Let n = t + 3657. Is n prime?
True
Let b be (-3)/(-12) + 10314/(-8). Let w = -852 - b. Is w composite?
True
Let c(p) be the first derivative of -p**4/4 - p**3 + 3*p**2 - 6*p + 2. Suppose 4*f + 10 = 5*n, -f - 4*n + 0*n = 1 | {
"pile_set_name": "DM Mathematics"
} |
*g - 16, -8 = 2*y + g - 4*g. Let q be (-8 - -6)/(-4)*-10*2. What is the hundreds digit of ((-644)/q + y)/(2/5)?
1
Let q = 101 - -253. Let t = -204 + q. What is the units digit of t?
0
Let x = -66 + 74. Let c(o) = -o**3 + 10*o**2 - 15*o. Let q be c(x). Suppose -4*b = -q*b + 372. What is the units digit of b?
3
Let d(a) = 2*a**2 + 31*a + 140. Let g(i) = -2*i**2 - 31*i - 141. Let c(n) = -2*d(n) - 3*g(n). What is the tens digit of c(-15)?
2
Let k be -5 - (16/(-4) - 1105). Suppose 10*p + k = 14*p. What is the tens digit of p?
7
Suppose 0 = 3*z - 2*d + 24 + 34, 0 = 3*z + 2*d + 38. Let h(j) = -j**3 - 12*j**2 + 14*j - 17. What is the units digit of h(z)?
3
Let g(y) = -5*y**2 + 4*y - 23. Let i(w) = -w**2 + w - 1. Let z(r) = g(r) - 6*i(r). Suppose 0 = -16*f + 5*f + 77. What is the tens digit of z(f)?
1
Let s be 2*((-694)/4 - -5)*-11. Suppose 11*y - s + 66 = 0. What is the tens digit of y?
3
Suppose c + 24 = 5*r + 47, 2*c + 2*r = -2. Suppose -9*w - 1576 = -3*f - 5*w, 0 = f + c*w - 521. What is the hundreds digit of f?
5
What is the tens digit of 18806 + -8*18/8?
8
Let o(z) = 22*z + 5. Let q be o(-2). Let m be (-2)/(-13) - 2724/q. Suppose -4*r + m = r. What is the units digit of r?
4
Suppose -13 = n - 4*h, -2*h + 5*h = -n + 8. Let s(c) = -26*c - 8. Let k(z) = z + 1. Let r(o) = n*s(o) - 4*k(o). What is the tens digit of r(7)?
5
Let q be 3 - (-3 + 0 + 2). Suppose -q*i - 12 = -m - 43, 20 = 2*i - 2*m. What is the tens digit of -1 + (-1342)/(-8) + i/28?
6
Let o(m) = 252*m + 1. Let s be o(1). Let z be 6 + (-12)/3 + s. Let c = z - 158. What is the units digit of c?
7
Let c(v) = -v**2 + 3*v + 15. Let m be c(11). Suppose 3*g = 4*s - 2*s - 55, 144 = 5*s - g. Let t = s - m. What is the units digit of t?
2
Let q be (3/(-21) - 7/(-49))/2. Suppose q = r - 5*r + 12, 2*r + 1430 = 2*i. What is the units digit of i?
8
Let m(c) = -2*c + 129. Let i be m(0). Let r = i + -66. What is the units digit of r?
3
Let l(b) = 2*b**2 - 11*b - 37. Let h be (0 + 4 + 1)*(5 + -7). What is the hundreds digit of l(h)?
2
Let n(p) = -8*p + 30. Let h be (-7 - 4) + 7 + (-24 - 1). Let k = -48 - h. What is the tens digit of n(k)?
8
Let k = 39 - 45. Let s be ((-4)/k)/((6 + -4)/12). Let w(q) = q**3 + 4*q**2 + 2*q - 1. What is the hundreds digit of w(s)?
1
Suppose -6*j = -8*j + 196. Suppose -90 + j = 2*d. Suppose 59 + 115 = x - d*g, 5*g = -2*x + 296. What is the tens digit of x?
5
Suppose -3*t + 45 = d, 0 = 3*t - 7*d + 4*d - 45. Suppose -r - 380 = -3*y + r, 3*r - t = 0. Suppose 0 = w - 3*w - 4*n + y, 0 = n. What is the tens digit of w?
6
Let i be (-122)/4*5/(-10)*-4. Let t = -73 - i. What is the units digit of (-552)/(-5) + t/30?
0
Let k be (-28)/16*-28 + 1 + -1. Suppose -3*j + 4*b = -0*j - k, 0 = j - 4*b - 11. Suppose -15*s = -j*s + 316. What is the tens digit of s?
7
Let t(f) = -1016*f - 8. Let g be t(-3). Suppose -g = -u - 7*u. Suppose u = -0*r + 4*r. What is the tens digit of r?
9
Let u = -26242 + 50175. What is the tens digit of u?
3
Let d be (-1254)/(-34) + (-14)/(-119). Suppose 214 - d = h. What is the hundreds digit of h?
1
Suppose 0 = -3*y - 2*m + 25, y = 5*y - 3*m - 39. Suppose y*v - 5464 = 2429. What is the hundreds digit of v?
8
Let h(k) = -3*k + 66. Let x be h(16). What is the units digit of x/((-3)/27*-6)?
7
Suppose 10570 = c + 5*s, -c + 12411 - 1845 = 3*s. What is the units digit of c?
0
Suppose 51516 - 1494 = 9*g. What is the units digit of g?
8
Let l(c) be the third derivative of 31*c**4/12 - 43*c**3/3 - 78*c**2. What is the tens digit of l(13)?
2
Suppose 2*o - 6 - 14 = -4*r, -5*r + 26 = 3*o. Let s be (3/o - 1) + (-33)/(-6). Suppose -s*n + 6 = -0. What is the units digit of n?
1
Let x = 2068 - -7778. What is the thousands digit of x?
9
Let p be (-2143)/15 - ((-129)/45 + 3). Let j = -114 - p. What is the tens digit of j?
2
Suppose 0 = 5*l - 10, -5*d + 2*l = -3*d + 114. What is the hundreds digit of (-981)/(-1) + 0/d?
9
What is the tens digit of 1/(38/247 + (-59556)/387452)?
5
Let i(g) = 96*g + 8914. What is the ten thousands digit of i(40)?
1
Suppose -2*t - 2*p + 42358 = -26638, -3*p = -12. What is the hundreds digit of t?
4
Let m = 4490 - 2583. Suppose m + 5166 = 11*z. What is the units digit of z?
3
Let w(y) = 46*y + 167*y**2 - 53*y - 8 + 1 + 45*y**2. What is the hundreds digit of w(3)?
8
Suppose 0 = h - 3*h - 12. Let b(d) = d**3 + 11*d**2 + 14*d + 16. What is the tens digit of b(h)?
1
Suppose -2*z - 11*q - 65986 = -5*z, -20 = 4*q. What is the hundreds digit of z?
9
Let a(l) = -2*l**2 + 50*l - 4. Let b be a(25). What is the tens digit of (2334 - 6)/(-8)*b/3?
8
Let h(i) = 3*i**2 + 90*i + 24. Let l be h(-38). Suppose 3*m + m - l = 4*v, 0 = -m - v + 224. What is the hundreds digit of m?
2
Let s(r) = -r**2 - 25*r - 19. Let t(l) = -l**2 - 24*l - 17. Let a(q) = 4*s(q) - 5*t(q). What is the units digit of a(-21)?
0
Let x be 5/3*3 - -173. Suppose -4*d = -x - 62. What is the tens digit of d?
6
Suppose 4*m = 750 + 510. Let u = 561 - 360. Let v = m - u. What is the units digit of v?
4
Let u(w) = -61*w + 192. Let h be -30 - (12/12 + -1 + 0). What is the thousands digit of u(h)?
2
Let o(h) = -3*h**2 - 3*h + 4. Let f be o(2). What is the hundreds digit of 23/161 - 16644/f?
1
Let h = -143 + 145. Suppose -z + 276 = 3*z - 4*u, 2*z = -h*u + 150. What is the units digit of z?
2
Let t = 1672 - -2586. What is the hundreds digit of t?
2
Let d(h) = 211*h**2 + 48*h + 388. What is the tens digit of d(-8)?
0
Let n be 55*7 - (7 + -6)/1. Suppose z + 4*x - n = 0, -5*z - 3*x - 151 = -2122. What is the units digit of z?
6
Let w(p) = 3*p**2 - 5*p + 10. Suppose 8*u + 11 = 43. Suppose 5 - 25 = -u*s. What is the units digit of w(s)?
0
Suppose 60*t - 59*t + q - 7613 = 0, -3*q + 7603 = t. What is the units digit of t?
8
Let h = 3926 - 579. What is the tens digit of h?
4
Suppose -2*g = 3*g + 25, 2*t - g - 563 = 0. Let i = -27 + t. Suppose -o = -13*o + i. What is the tens digit of o?
2
Let c be ((-1)/(-2))/(2/548). Suppose -4*u = 12, u - c = -r + 28. Let g = r - -43. What is the hundreds digit of g?
2
Suppose 186*h - 192*h + 24 = 0. What is the tens digit of (3 + 9850/(-70))*(-14)/h?
8
Let w = 128 - 188. Let d(r) = -213*r + 108. Let v be d(1). Let u = w - v. What is the tens digit of u?
4
Let z = -2449 + 1371. Let u = 1565 + z. What is the tens digit of u?
8
Let x = 7375 - -2213. What is the thousands digit of x?
9
Let b(p) = 42*p**2 + 16*p + 123. What is the thousands digit of b(-11)?
5
Suppose -19*f + 32652 = -2*f - 50036. What is the hundreds digit of f?
8
Let x = -116 + 121. Suppose -x*t - 532 = -12*t. What is the tens digit of t?
7
Let k be ((-1)/(-2))/(14/308). Let a = k + 44. Suppose 0 = -f - a + 193. What is the hundreds digit of f?
1
Let i(y) = 4 + 38 + 4 + 2*y. Let o be i(-21). Suppose -4*x + 141 = d, -2*x - 3*x - o*d + 179 = 0. What is the units digit of x?
5
Let m = 2244 + -3228. What is the tens digit of (-15)/(-2)*m/(-15)?
9
Suppose 4*d = -4*p + 19 + 37, 2*p - 4*d - 34 = 0. Suppose 5*w - 2392 = 4*b, p*w - 19*w + 1918 = -b. What is the tens digit of w?
8
Let z be 176/(-18) - 8/36. Let p = z - -14. Suppose 5*b = k - 108, 0*b = -k + p*b + 107. What is the hundreds digit of k?
1
Suppose 0 = -5*w + 2*a + 17087, 29*w + 3*a = 30*w - 3433. What is the units digit of w?
5
Let o(p) = 308*p**2 + 91*p + 186. What is the hundreds digit of o(-2)?
2
What is the units digit of (-16 + 0)/(7/(-49))*5262/24?
6
Let l = -427 - -1272. Let x = l - 337. Suppose -4*s + s = 3*k - 384, -2*s + x = 4*k. What is the tens digit of k?
2
What is the thousands digit of (-32 + -5)*-645 - -4?
3
Suppose 0 = 26*j - 20*j - 13236. Suppose 2*p = -3*p + 2*v + j, -1332 = -3*p + 4*v. What is the units digit of p?
0
Let c(x) = 399*x**2 + 69*x - 443. What is the units digit of c(6)?
5
Let p(u) = 3*u + 24. Let d be p(-7). Suppose d*r + a = 105, 167 = -0*r + 5*r - a. Suppose -r = -b + 43. What is the tens digit of b?
7
Suppose 0 = 9*v + 65 + 16. Let y(z) = 19*z + 7. Let q be y(v). Let m = -114 - q. What is the units digit of m?
0
Let l(a) = 8*a**2 - 533*a - 96. What is the tens digit of l(70)?
9
Let a(j) = 89*j - 80. Suppose 21 = 3*w + 3*k, 5*k - 19 = 2*w + w. What is the units digit of a(w)?
8
What is the ten thousands digit of (3/(-6))/((-2)/(-18))*1011080/(-345)?
1
Let i(d) = 7*d**3 + 4*d**2 - 4*d - 7. Let h(q) = 8*q**3 + 5*q**2 - 5*q - 7. Let j( | {
"pile_set_name": "DM Mathematics"
} |
7 + -4)?
4
(202 - 90) + -174 - 46
-108
What is the value of (37 - 39) + 60 + (-7 - -4) + -4?
51
Calculate 183 + -163 + -82 - (2 + -4).
-60
Evaluate -4 + (-57 + 11 - -47) + -1 + -58 + 1.
-61
Calculate -47 - 6 - ((9 - 10) + (0 - -4) + -4).
-52
What is (-3 + -4 + (20 - 18) + 9 - -4) + -55?
-47
Evaluate -12 - 6 - 5 - -44.
21
159 + -47 + (-170 - -134)
76
Evaluate 8 + -2 + -16 - (-10 + (-29 + 17 - 51)).
63
Calculate -10 - -60 - -24 - (-9 + 4 + -6).
85
What is the value of (-71 - -9) + (14 - (5 - 14))?
-39
What is the value of -200 + 176 - (-3 + -64)?
43
3231 - 3153 - (4 - (4 + (0 - 2)) - 2)
78
38 - (111 - -14) - -43
-44
Evaluate 14 - ((1 - 1) + 18 - (-49 - -35)) - 0.
-18
(-2 - 2) + 12 + 5 + (-158 - -74 - -79)
8
Calculate (4 - ((-8 - -9) + (0 - -5))) + 21.
19
What is -51 - (79 + -66) - -52?
-12
Calculate 82 + (1 - -16 - 51) + 9.
57
2 - 9 - ((-37 - 14) + 23)
21
Calculate 28 + -6 + -4 + -35 + (-1 - 54).
-72
Evaluate -107 - (-187 + 83) - (2 - 0 - -6).
-11
What is the value of 26 + 14 + -38 - (28 - 119)?
93
Calculate (8 + -8 - -13) + (9 - (-15 - -33)).
4
Evaluate (54 - (2 - 0)) + (1 + -3 - (-2209 - -2206)).
53
(-684 - -708) + (0 - -115) - 18
121
Evaluate -133 + (5 - (-5 - 1)) + (4 - (17 - -1)).
-136
What is (12 - -1) + (156 - 119 - 55)?
-5
What is 40 - -67 - (-11 - -67)?
51
Evaluate 18 - (-13 + 10 + -24 + 28 - -28).
-11
-24 + (-10 - -12) - (-70 - -90)
-42
What is -130 + (-64 - -184) + -2?
-12
What is the value of (2 - 8) + -17 + 110 + -43 + 34?
78
What is -13 - (-33 - (-44 - -22))?
-2
(-230 - -31 - -75) + (-1 - -3) + (-3 - -15)
-110
Evaluate -12 + (117 + (1 - 4) - (32 + -44 + 9)).
105
Evaluate 58 + -7 - (-5 - (-3 - 10 - 2)).
41
What is the value of 2 + (68 - (83 + 47))?
-60
Calculate (20 - (35 + -19)) + -3 - (54 - 5).
-48
What is the value of -11 + 4 + 17 + 24 + -64?
-30
Calculate (-29 + -12 + 40 - -53) + -10.
42
Calculate -37 - (23 + (-99 + 28 - -34)).
-23
What is the value of -3 - (13 + (39 + 66 - (2 - (-2 - 1))))?
-116
What is -16 - (7 - (13 + -6 + (12 - 9)))?
-13
(15 + -24 + -7 - -37) + (-2 - -1 - 0)
20
What is the value of (-15 - (20 + -16)) + (28 - -19)?
28
Calculate -24 + ((8 - 3) + -34 - (-127 - -109)).
-35
Evaluate (-2616 - -2594) + -4 + -16.
-42
Calculate 10 + (47 - (-1 - -1)) + 1 + 3.
61
Evaluate (-1 - -9) + (-114 - -113) + (-77 - (-23 + 13)).
-60
Calculate (39 - (-40 + 56)) + 8.
31
What is 8 - (-16 - -57 - 22) - (-3 - 28)?
20
Calculate -161 + 172 + (-1 - 1) - (3 + -1 + -62).
69
(15 - (-14 + 126 + -7 + 9)) + -1 + -12
-112
What is (46 - -73 - -36) + -69?
86
Evaluate 1 + 3 - (-10 - (34 - (3 + -21))).
66
Calculate (-4 - 0 - (31 + 3)) + -12 + (9 - 5).
-46
What is the value of 52 - (0 + -1) - (-5566 + 5586)?
33
-8 - ((8 - -9 - 15) + -90 + 10)
70
(5 - 14) + 5 + 35 + -33
-2
Evaluate (33 - (110 - 17)) + 57.
-3
Evaluate 87 - (-16 + 10 + -2 - (-6 + 2)).
91
What is the value of -39 + 47 + (-66 - -34)?
-24
(-63 + 6 - (-21 + 18 - 3)) + -8
-59
What is 0 + (-9 - (-1 - (5 + -5 + 3)))?
-5
Evaluate -21 + 89 - 35 - 48.
-15
What is (-3 - 48) + 1807 + -1714?
42
Evaluate -14 + -67 + 30 + 16.
-35
What is (12 + 5 - 10) + -17 + (21 - 13)?
-2
What is (-13 - (-4 + 0) - 5 - -18) + 18?
22
Calculate -39 + (-4 + 3 + -8 - 9) + 7.
-50
Calculate 4358 - 4369 - ((0 - -69) + -1).
-79
31 + (-86 - -20) - -21 - 33
-47
Evaluate -48 - (-35 - -13 - -15).
-41
(-20 - -10) + (-7 + 2 - -6)
-9
What is 413 + (-485 - -67) + 0 + 57 + -1?
51
What is the value of 2 - (16 + (4 - -1)) - (-8 + -6)?
-5
What is (-1432 - -1437) + (-16 - (-3 + 0)) - 60?
-68
What is (-39 - (-55 + 35)) + 25 + 42?
48
What is (-30 - (61 + -57)) + 128?
94
What is -26 + -3 - (-63 - -24 - -47)?
-37
-7 + 2 + 1 + -264 + 324
56
-7 + (8 - -4) + (910 - 843)
72
Calculate -180 + 191 - (25 + -2) - (-1 + 25).
-36
-41 + -71 - (-170 - 53)
111
What is the value of 0 + (-103 + 78 - (-5 + 15))?
-35
Calculate 1429 + -1458 + (-87 - 6).
-122
(6 - -3) + -15 + (0 + 1 + -4 - -56)
47
Calculate -1031 + 1051 + (-2 - 64).
-46
Calculate 8 + (33 + -14 - 13) + -5 + 38.
47
What is the value of 31 - 72 - (64 - 80)?
-25
What is 507 + -519 + (49 - -2)?
39
Calculate (633 - 639 - (-7 + -1)) + 12 + -22.
-8
Evaluate (-2 + 27 - 27) + -6 + 1 + (158 - 171).
-20
Calculate -1051 + 1033 - (-22 - (-3 - 0)).
1
4 - (-3 - 11 - (227 + -252))
-7
Calculate (23 - (41 - 10)) + 53.
45
Calculate 74 - ((11 - 1) + 14 + -10 + -12 + 2).
70
What is -27 + -3 - (-9 + -16 + -11 - -22)?
-16
-19 + -1 + (-410 - -416)
-14
What is (-50 + 21 - 13) + 23?
-19
What is -1 - 35 - (4913 - 4947)?
-2
What is the value of (13 - 10) + 7 - 2 - (-2 - -17 - -97)?
-104
Calculate -81 - (-2 + -2 + (-6 - 1) - (75 + -76)).
-71
Calculate -10 - (11 - -9 - 22 - (-4 + -39 - -3)).
-48
17 + (29 - (28 - -1)) + (-10 - -2)
9
1 + -17 + (-17 + 66 - 100)
-67
Calculate (-5 + -9 - -54) + -12 + 1 + 6 + -8.
27
What is the value of 47 + 0 + (29 - (16 + 44)) + 32?
48
What is the value of -89 - (-37 + -51) - (12 - 1)?
-12
-22 + -6 + (-15 - -37) - (-1 + -15)
10
What is the value of (-69 - (-14 - (5 + 3))) + (-20 - -12)?
-55
What is the value of (9 + 8 + -9 - (32 - 11)) + 26?
13
What is (8 - 4) + 8 + (15 - -1) - -11?
39
Evaluate 39 + (-8 - 19) + (-29 - -1) - 11 - -8.
-19
What is the value of (31 - (-28 - -16)) + (-1 - 74)?
-32
What is the value of (58 + -10 - (-3 - -6)) + -21?
24
Evaluate 106 + -38 - (3 + (-8 - -1) + (81 - 68)).
59
Evaluate -3 + -3 + (-11 - (30 + -7 + -7)).
-33
What is -20 - (79 - (64 + 35))?
0
Evaluate 13 - 11 - (-28 + 12) - 32 - -117.
103
Calculate -50 + (-28 - -58) - (1 - 8).
-13
What is 8 + -10 - -4 - (13 - 15) - 19?
-15
What is -5 - (-28 + 12 + 3 + (-2 - 43))?
53
What is the value of (20 + -5 - (-15 + 20 - 8)) + 31?
49
Evaluate -2 + -11 + (1 + 13 - (26 - 23)).
-2
-1 - 43 - (-2 + (15 - 6) + (-13 - -3))
-41
Calculate -9 + (65 + -18 + -10 - (8 + -5)).
25
2 + 75 - (24 + 25 + -56)
84
What is 14 - (-47 + -21 + 65 - (11 - 2) - 42)?
68
What is (-3 - 0 - (-4 - -1)) + (5 - (-22 + 16))?
11
What is the value of 6 + (-4 + -23 + 35 - (1 + -3))?
16
Calculate -34 - (28 - ((32 - 32) + -41)).
-103
(790 - 691) + (-18 - -1)
82
Calculate 55 + (-20 - (-5 + (17 - 20))).
43
What is the value of 804 - 805 - (-2 + 1 + 7)?
-7
Calculate -3 + (-34 - -35) - 15.
-17
What is (25 - (-1 - (-3 + 11 + -16))) + -14 + 13?
17
(16 - (15 + (-9 - 12))) + 23
45
What is the value of 19 + -17 + (-19 - -32) - (66 + -14)?
-37
What is 3 - (33 + -14 + -16 - 0)?
0
What is -44 + (154 - 34) + -68?
8
-105 + (100 - (166 + -100))
-71
(0 - -5) + (-52 + 15 - (41 + -36))
-37
Calculate (-4 + 19 + 10 - 24) + 15 + 47.
63
Evaluate (90 - 138) + (61 - 5).
8
What is 49 - -65 - 47 - -9?
76
Calculate (30 - (-13 + (30 - -4))) + 8 + -97.
-80
What is the value of 7 - (-1 + 6) - ((-4 + 0 - -10) + 4)?
-8
Evaluate 0 + (-39 - 3) + 33 + -22.
-31
Evaluate -57 + 2 + 48 + (76 - 106).
-37
Evaluate (-9 + 11 - -84) + 1 - (-8 - -25).
70
What is (7 + 11 - (-9 + 15) - (9 - 2)) + 3?
8
Evaluate 196 + -218 + (-1 - -10).
-13
Evaluate 1603 + -1648 + 0 + 95.
50
Calculate -31 - (-87 + (28 - 5)) - 18.
15
-12 - ((-185 - -178) + (1 - (3 - -2)))
-1
-3 + (-11 - (-5 + (-4 - -5))) - (1 - -1)
-12
What is (-92 + 194 - 123) + 50 + -2?
27
What is (27 - (-25 + 42)) + -1 + 3 + -77?
-65
(-113 - 0) + -2732 + 2792
-53
Calculate 100 + 19 + -211 - -126.
34
Calculate (-2461 - -2503) + 2 + -12.
32
What is -3 + (3 + -5 - (1 - 16)) + (100 - 179)?
-69
Calculate -24 - 0 - (7 - ((-12 - -21) + -8)).
-30
10 - 0 - (32 - ((111 - 113) + 4 + -1))
-21
What is 13 + (-27 + (36 - 20) - 20)?
-18
Evaluate -16 + (-13 - -25 - 9 - 0) + 0 + -2.
-15
Evaluate 43 - (42 + (26 - (16 + 25))).
16
30 + -8 + (-85 - -61) - (2 - -43)
-47
What is the value of 9 + -11 + -8 - (0 + (-11 - -5) - 34)?
30
Evaluate 0 + 0 + 47 + -1749 + 1737.
35
(-134 - (8 - 116)) + -82
-108
What is the value of (1 - -5) + (16 - (3 - -14)) + -4 - 7?
-6
104 + (-23 + 20 - 23) + 40 + -24 + 1
95
Calculate -3 - -14 - (37 - 124).
98
-6 + 14 + 10 + -32 + 8 - 7
-13
Evaluate 23 - (-18 + -26 - -9).
58
Evaluate -54 + (111 - 34) - (-65 + -3).
91
What is 60 + -76 - (4 + -7 + 44)?
-57
What is the value of 55 + -4 + 1 + 2 + (8 + -4 - 2)?
56
Evaluate (-138 - -138 - -57) + -58.
-1
3 + 0 - (-22 + 13 - 4 - -102 - -8)
-94
What is 170 - (8 + 4 + -67 + 91)?
134
-3 - (39 + 5 - (-79 - -210))
84
Evaluate -115 - -16 - (-92 - -4).
-11
Evaluate 234 + (-204 - 52) + -59 + -1.
-82
Evaluate 31 + -6 | {
"pile_set_name": "DM Mathematics"
} |
ange -4*z**3 + 1 + 5*z**3 + 3*z + 0 + 4*z**3 + z**3 - 2*z**3 + (0*z**2 - 3*z**2 - z**2)*(5 - z - 5) to the form p*z + n*z**2 + m + k*z**3 and give p.
3
Express (-3*w**3 + w**3 + 7*w**3 + (-4*w + 5*w + 0*w)*(7*w**2 - 3*w**2 - 2*w**2))*(-5 + 5 - 2*w) as h*w**2 + l*w + r*w**4 + d + z*w**3 and give r.
-14
Rearrange -3*q - 3*q + q - 2*q to n + x*q and give n.
0
Express (5*x - x - 3*x)*(3*x**2 + 0*x**2 - 5*x**2 + (4 - 4 + x)*(3*x - 4*x + 0*x) + x**2 + 5*x**2 - x**2) as y*x**3 + k*x**2 + a + i*x and give y.
2
Express (10*f + 79*f + 18*f)*(-f**3 - 4 + 4) in the form y*f**2 + g + s*f + d*f**3 + h*f**4 and give h.
-107
Rearrange 209 - 209 - 38*p to the form w + y*p and give y.
-38
Express -p**2 - p**3 + 11 - 25 + 13 as d*p**2 + y*p + f*p**3 + u and give d.
-1
Express (-20*s**3 + 130*s - 130*s)*(1 + 2 - 4)*(-3 + 1 - 1) as i*s**2 + y*s**3 + h + b*s and give y.
-60
Rearrange (21 + 16 - 14)*(-n + 0*n - 2*n) to l*n + g and give l.
-69
Express 4*p**2 + 3*p**2 - 6*p**2 in the form g*p**2 + n*p + l and give g.
1
Rearrange -1 - 7*t**2 + 23*t**2 - 5*t**2 to p*t**2 + w*t + i and give i.
-1
Rearrange -74*b + 0 + 2 + 73*b + 5 to the form z*b + p and give p.
7
Rearrange -5 + 7 + 14*z**2 - 3 to the form n*z + u*z**2 + s and give u.
14
Rearrange 4*y**3 - 2*y**3 - y**3 + 40 - 42 to q*y + b*y**2 + a + n*y**3 and give n.
1
Rearrange 0*w**2 - w**4 - 8*w + 2*w**2 + w**3 + 0*w**2 to f*w + h*w**3 + q*w**4 + o + j*w**2 and give j.
2
Rearrange 0*x + 2*x**2 - 4*x - 2*x**2 - 2*x**2 to q + r*x**2 + g*x and give g.
-4
Express (0 + 5 - 4)*(-12*v + 28*v + 2 - 4*v) as r*v + y and give r.
12
Express -19 - 1 - 60 + 2*w in the form l + c*w and give l.
-80
Express -1 + 1 + c**2 + (11 - 11 - 2*c)*(-3*c - 2*c + 3*c) + 6 - c**2 - 6 in the form q + f*c**2 + k*c and give f.
4
Rearrange c - 2*c**3 - 36 + 36 + c**4 - c**2 to v*c + s + u*c**4 + p*c**2 + a*c**3 and give v.
1
Express (-2*l + 4*l + 0*l)*(-3*l + 2*l - 2 + 0*l) in the form d + p*l**2 + x*l and give p.
-2
Rearrange 7*k**2 + k**2 - 2*k**2 - 9*k**2 + 4*k**3 to the form t*k**2 + f*k + y*k**3 + p and give y.
4
Rearrange 24 - 3*d - 15 + 0*d + 2*d to the form y*d + i and give i.
9
Express 820 - 820 + 116*t as j + a*t and give a.
116
Rearrange 9560*t + t**3 - 4*t**4 - 9560*t - 3*t**2 + 2 to y*t**2 + o + x*t + a*t**3 + m*t**4 and give a.
1
Express -3*c**2 + 3*c + 19 - 2*c**3 - 32 + 12 as j*c**2 + y + n*c + w*c**3 and give y.
-1
Rearrange 3 + 7*x**2 - x**2 + 7*x**2 - 9*x**2 to the form p*x**2 + a + n*x and give a.
3
Express -135*w**4 + 270*w**4 + w**2 - 138*w**4 - 3*w + 2*w**3 - 1 + 4 as l*w**4 + c*w**3 + j*w + t*w**2 + g and give l.
-3
Rearrange (u - 2 + 0*u + u)*(1 - 13*u**3 - 1 - 2 + 2 - u**3 + (1 - 1 + 2*u)*(-4 + 4 - 2*u**2)) to v*u**3 + o*u**4 + y*u**2 + t + k*u and give v.
36
Express 11*k**3 + 3*k + k**4 + 163 - 5*k - 161 in the form x*k + p*k**4 + i + h*k**2 + q*k**3 and give q.
11
Rearrange (-4*p**4 + 0*p**4 + 2*p**4)*(-1 + 1 + 3) + 2*p**4 - 2*p**4 + 7*p**4 to n + w*p**4 + y*p**3 + t*p + m*p**2 and give w.
1
Rearrange -5*b**2 + 6*b**2 - 3*b**3 + 2*b**3 to j*b + q*b**3 + d*b**2 + r and give d.
1
Express -5*v + 31 - 2*v**4 + v**4 + 2*v**2 - 32 as w*v**3 + u*v**4 + i + n*v**2 + b*v and give b.
-5
Express -3*o + 0*o - o + o**3 - 2 + o as k*o**2 + c + u*o**3 + w*o and give u.
1
Express 0*k**3 - 7*k**3 + 4*k + 2*k**3 as w*k**2 + s*k**3 + u*k + b and give s.
-5
Rearrange (-3*p**2 - 4*p**2 + 2*p**2)*(1 - 2 + 4)*(3*p - p - 4*p) to r*p**3 + w*p + c*p**2 + t and give r.
30
Rearrange 2 - 2 - 18*c + 0 to u + l*c and give l.
-18
Express -k + 2*k**2 - 6*k**3 - 1 - 4*k**3 + k**4 - 8*k**3 + 20*k**3 in the form w*k**4 + s*k + p*k**3 + a*k**2 + q and give p.
2
Rearrange (0 - u + 0)*((-u - u + 3*u)*(1 + 2 - 4) + (-2*u - 3*u + 4*u)*(-4 + 3 + 3) + u - 4*u + 2*u) to t + o*u**2 + q*u and give o.
4
Express (0*k + 2*k - k)*(-5 + 0 + 3) + 0*k - k - 3*k - 2*k + 3 - 3 + (-3 + 3 + k)*(-2 + 3 - 3) - 6*k + 3*k + k in the form d*k + m and give d.
-12
Express s**2 - 5*s + 0*s**2 - 2*s + s**4 - 2*s**3 + 4*s as v*s**4 + b*s**2 + r + l*s + p*s**3 and give l.
-3
Express -i**3 + 0*i**3 + 0*i**2 + 2*i**3 + 3*i**2 as b + q*i**2 + u*i + s*i**3 and give q.
3
Rearrange -2*q**2 + 17 + 10 - 7 to the form t + a*q**2 + f*q and give t.
20
Express (3*i**3 + 13*i**3 - 2*i**3)*(-5 + 2*i + 5)*(4 - 3 + 1) in the form k*i**2 + a*i**3 + w + s*i + n*i**4 and give n.
56
Express 1222*g - 1224*g - 2*g**2 + 3*g**2 in the form l + v*g**2 + n*g and give n.
-2
Rearrange (4 - 4 - 11*d)*(-2*d + 1 + 1 + 0*d) to a*d**2 + c*d + b and give a.
22
Rearrange 8*a**4 + 22*a**4 - 6*a**4 + (-a**3 + 0*a + 0*a)*(-a - 5 + 5) to the form f*a**3 + h*a**4 + g*a + u*a**2 + o and give h.
25
Rearrange (5*d + 7*d - 70*d)*(0 + 0 + 2*d) to the form i + r*d + g*d**2 and give r.
0
Rearrange (-2 - 3 - 3)*(-2*c**3 + 4*c**3 + 0*c**3) + (4*c**3 - c**3 - 4*c**3)*(-3 + 1 + 1) to the form w + k*c + t*c**3 + h*c**2 and give t.
-15
Rearrange (-2*x**3 - 3 + 3)*(0*x + 3*x - 9 - 2*x) + 3*x**2 - x**4 - 3*x**2 to l + h*x**2 + z*x**4 + r*x**3 + g*x and give r.
18
Rearrange 8*g**2 - 14*g**2 + 2*g**3 - 2*g**4 + 5*g**2 - 3*g to k*g**2 + s*g**3 + n*g**4 + y*g + i and give s.
2
Rearrange -4 - z**2 + 9 - 5 + 33*z to the form u*z**2 + i*z + c and give i.
33
Rearrange -2 + 2 + 17*o - 7*o to the form t + g*o and give g.
10
Express (b - 2*b - 16*b)*(b**3 - 9*b**2 + 9*b**2) in the form h*b**4 + w + y*b + o*b**3 + q*b**2 and give h.
-17
Rearrange (-5*y**2 + 3*y**2 + 3*y**2)*(2*y + y**2 - 2*y) + (1 + 8 + 2)*(-y**4 - 4*y + 4*y) to the form x*y**4 + a*y + z*y**2 + w*y**3 + u and give x.
-10
Rearrange -8*a**3 + a - a**2 - a to the form q*a + u + z*a**2 + l*a**3 and give l.
-8
Rearrange d - 4*d**3 + 3 + 0*d**2 - d**2 + d**2 - d**2 to the form i + g*d + p*d**3 + b*d**2 and give i.
3
Rearrange -28*n - 104*n + 10*n to the form a + h*n and give h.
-122
Rearrange 9*m**4 - 9*m**4 - 7 + 2*m**2 + 2*m**3 + m**4 to f*m + j*m**4 + x*m**2 + u + d*m**3 and give j.
1
Rearrange -2 + z**4 - z + 2*z + z**4 + z**4 to b + c*z**4 + d*z + y*z**3 + k*z**2 and give b.
-2
Express (-6*p - 13*p + 14*p - 1)*(0*p + 2*p - 4*p) as b*p**2 + i*p + o and give b.
10
Express -k**2 - 2*k**2 - 10*k**2 + 8*k**2 as l + j*k**2 + n*k and give j.
-5
Rearrange v**4 - v**4 + 2*v**4 + (41*v + 104 - 104)*(-2*v**3 + 3*v**3 + 0*v**3) to m + n*v**2 + k*v + t*v**4 + d*v**3 and give t.
43
Rearrange -3 - l + 1 + 3 to b*l + o and give o.
1
Rearrange (116*x + 98*x - 29*x)*(3 + 2 - 3) to the form f + m*x and give m.
370
Express -2*f**3 + 0*f**3 - 5 + 2*f + 5 as i + k*f**3 + j*f**2 + t*f and give i.
0
Rearrange (-2*i + 4*i - 5*i)*((2 + 2 - 5)*(3*i + 0*i - 2*i) - i + 0*i + 4*i - i + 7 - 3*i - 5) to h + d*i + x*i**2 and give d.
-6
Rearrange -1 - x**2 + 1 - 24 - 2*x**2 + 14 + 3*x**2 + (-1 + 3 + 0)*(-2*x**2 - x**2 + 4*x**2) + 3*x**2 - x**2 + x**2 to j*x + i*x**2 + p and give p.
-10
Rearrange 5*l**4 + 2 - l**2 - 15 + 5 + 9 to f*l**3 + u*l + n*l**4 + z*l**2 + x and give z.
-1
Express 2*w**3 - w**2 + 2 + 12*w**4 - w**2 - 15*w**4 as a*w**3 + z*w**4 + x*w**2 + j*w + o and give x.
-2
Express 2*v**3 + 1 + 2*v**3 + 25*v**2 - 3*v**3 - 28*v**2 as f*v**2 + z*v**3 + i + w*v and give i.
1
Rearrange (-6 - 19 - 34)*(-4*j**3 + 3*j**4 + 2*j**3 - 2*j**4) to w*j + l*j**4 + x + n*j**2 + d*j**3 and give l.
-59
Rearrange (-k + k - k)*(3 + 4 - 5)*(0 - 13 - 3) to the form a + v*k and give v.
32
Express 4*w + 3 + 5 - 3*w - 5 as u*w + x and give u.
1
Rearrange (0 + 0 + 3*p)*(-3 + 2*p + 3) + (-1 + 1 + 1)*(p**2 - 1 + 1) + (0*p + 5*p - 3*p)*(0*p + 0*p + 2*p) to o*p + a*p**2 + d and give a.
11
Rearrange 23*d**2 - 6 + 4 - 26*d**2 - 2*d**3 to x*d**3 + z*d + u + i*d**2 and give z.
0
Express 247 + 41*g - 247 as o*g + q and give o.
41
Rearrange 15*j**2 - 12*j**2 - j**3 + 2*j**3 to u*j**3 + s*j + c + p*j**2 and give u.
1
Express 4 + 37*u - 74*u - 2 as k*u + f and give k.
-37
Express 274*r - 274*r - 30*r**2 in the form m*r + c + n*r**2 and give n.
-30
Express -30*s + 12*s + 14*s as l + h*s and give h.
-4
Rearrange -10*z**4 + 7*z**2 - 2 + 24*z**4 + 3*z**3 - 5*z**4 - 7*z**4 to w*z**4 + r*z**2 + n*z + d + y*z**3 and give y.
3
Express (s + s - s)*(-4*s**2 - 2*s**2 + 4*s**2) + 4 - 2*s**3 - s**2 + s**2 + 9*s**3 - 4*s**3 + 4*s**3 as m*s + p + w*s**2 + i*s**3 and give i.
5
Express -36*g + 11*g - 22*g as b*g + o and give b.
-47
Express -2*o**4 + 0*o - 3*o* | {
"pile_set_name": "DM Mathematics"
} |
/86785*-2*178/(-24)?
89
Calculate (450/525)/(-12*21/(-980))*153/15.
34
What is the value of ((-2460)/(-40))/41*414/(-9)?
-69
Evaluate 4*363/(-308)*2*((-476)/(-120))/17.
-11/5
Evaluate (75/(28350/(-546)))/((-2)/108*2).
39
-2*((-13)/(-39))/(52*2/(-12))
1/13
What is 43/((-6880)/48)*(-3)/((-27)/(-12))*3?
6/5
What is the value of 185/19203*((-12)/8)/(10/(-8))?
2/173
Calculate 19*25*4087/31825.
61
What is the value of ((-6)/5)/(136/170)?
-3/2
Calculate ((-184)/69)/((-2660)/105).
2/19
What is (13/117*-18)/(31/2)?
-4/31
Calculate (108/8)/((-99)/(-242)).
33
Evaluate (-6*(-61)/732)/(6/4).
1/3
(-90)/4*28/(-36)*(26220/399)/23
50
((-381180)/44471)/(((-7)/(-21))/(28/(-6)))
120
Calculate (-25*(-17)/(-1530))/(242/(-484)).
5/9
(41778/4254393)/(5/((-130)/8))
-3/94
Calculate -21*(-84)/2646*(-45)/18.
-5/3
Evaluate 2/(-9)*((-30240)/(-2))/56.
-60
1690*350/(-45500)*1/(2/2)
-13
Calculate 4/14*((-3)/((-522)/8))/(19708/310401).
6/29
Calculate 2128/342*207/46*14/(-4).
-98
What is the value of 14098/1113*(-27)/(-57)?
6
What is the value of (24/(-54))/(3042/(-4563)*2*2/300)?
50
12/(-40*9)*244/(-61)
2/15
What is (-16898)/46718*(48/136)/6?
-1/47
What is the value of 72/24*790/(-15)?
-158
What is 58*73/(-1022)*-7?
29
What is (-74)/(-814)*-957*(-8)/(-12)?
-58
What is the value of (2308/(-1154))/(17/2)?
-4/17
What is (58*1/7)/(160/(-840)*(-99)/66)?
29
What is the value of 1*(990/(-935))/18?
-1/17
What is the value of 49*43/63210*-5?
-1/6
((-70)/28)/((-14)/(-287)*(-10)/4)*-2
-41
(-13)/(-52)*(-2368)/518
-8/7
What is (-55)/18*((4/6)/1)/(38435/(-92244))?
44/9
Calculate 219/(-12775)*50/6*36/(-30).
6/35
814176/86352*(-14)/(-374)
6/17
What is (-2*3/5)/((-28)/(-10290)*49)?
-9
Calculate ((-2)/(-58))/(1*4/((64/(-4))/(-4))).
1/29
What is (4/48)/((1*63/(-168))/(15/(-5)))?
2/3
What is the value of -2*(-144)/(-168)*(-385)/110?
6
Calculate (-675)/45*(31/837)/(-2*2/3).
5/12
64700/(-219980)*(-51)/(-3)
-5
What is (44/48)/((-36)/1656*23)?
-11/6
What is -10*1/(-20)*(-280)/350?
-2/5
What is (9/(-1)*(459/(-27))/306)/(1/34)?
17
What is the value of ((-4)/55)/(((-4)/11)/(28810/31691))?
2/11
(12885/(-38655))/(1/(-120))
40
What is (19/114*-8)/((-8)/(-138))?
-23
Calculate (9/(-69))/(606/6969).
-3/2
Calculate (-1)/((69/46)/((-6)/(-16)*188)).
-47
What is the value of ((-3)/(45/10)*18/(-144))/(12/(-80))?
-5/9
-3*((-1053)/(-27))/1287
-1/11
What is 4/(-14)*(-87087)/(-638)?
-39
(14/(-332))/((-196)/(-7)*75/(-1200))
2/83
Evaluate (24/(-12))/(96/21960*(-45)/(-6)).
-61
Calculate -1*((-103)/(18746/(-455)))/((-2)/(-14)).
-35/2
Evaluate (-57)/38*25/(-15)*24/(-10).
-6
What is (((-25)/15)/((-65)/(-234)))/(-8)*84?
63
What is the value of (1/1)/((-29*(-32)/464)/(-62))?
-31
-4*(-4)/(-108)*8472/706
-16/9
Evaluate 23400/1755*63/(-24).
-35
What is ((-87243)/13422)/((4/10)/((-4)/(-5)))?
-13
What is 45/(-3)*27/108*4*-1?
15
What is the value of ((-2)/124)/(6/8)*178/((-34710)/1755)?
6/31
Evaluate 1582/452*39/(-4732)*1*-48.
18/13
What is (-1)/(162/(-162)*(-1)/101)?
-101
Evaluate ((-27)/(-81))/(11/(-6*3/2)).
-3/11
What is (7/98*-60)/(((-108)/(-21))/(-12))?
10
What is the value of 18/(-4)*64/240*23/(-9)*15?
46
Calculate -26*(6/(-9))/(8502/8829).
18
Calculate (-1566)/7569*27/81.
-2/29
Evaluate (66*8/1980)/(2/5).
2/3
Evaluate ((-775)/4650)/((-1)/240).
40
Calculate (36/28*9/45*5)/((-1)/(-7)).
9
(-79*(-40)/(-347600))/(1*1/(-1))
1/110
What is ((-1)/(-5))/((-2)/45*1)*38410/(-2505)?
69
What is (-15)/(-31)*224223/2411?
45
What is the value of ((-3)/13)/(((-209952)/5265)/144)?
5/6
What is the value of (-270)/5580*6/9*-2?
2/31
Calculate 3/(1/(-7)*114/(-6916)*-26).
-49
Calculate (3/147)/(35*(-71)/4970).
-2/49
Calculate (2080/(-2860))/((-504)/(-198)).
-2/7
Calculate (-2)/(-50)*(1/11)/((-1827)/1827).
-1/275
(-4)/(-36)*(-72)/12*(-54)/(-14)
-18/7
What is the value of 21040/(-526)*20/(-192)?
25/6
Evaluate ((-224)/(-63))/(-8)*((-98)/2352)/(1/10).
5/27
What is (-61504)/5766*5/(15/(-36))?
128
((-63)/60)/7*((-1440)/5)/(-12)*15
-54
12*85/68*(-4)/(-6)
10
What is the value of ((-5)/((-100)/18))/(12/20)*4/(-51)?
-2/17
3/((-3)/(-1))*443/(-886)*(-5282)/19
139
Evaluate 19/(1197/2754)*7*82/(-164).
-153
What is the value of 58149/(-1846)*40/35?
-36
What is the value of (30976/15488)/(((624/(-105))/4)/(4/(-10)))?
7/13
Evaluate (15/((-630)/574))/((32/(-12))/8).
41
What is 3*((-10)/160)/((-12)/216*-18)?
-3/16
What is the value of ((-1342)/183)/((-8)/(-12))*5*1?
-55
Evaluate 1828/(-914)*(-52)/(-8).
-13
(253/(-33))/((((-2145)/18)/55)/(-13))
-46
What is the value of (192456/7128)/(2/(-6))?
-81
What is (((-22)/484*11)/(10/180))/((-6)/(-28))?
-42
What is the value of (((-4437)/34)/87)/(38*3/(-48)*6)?
2/19
654/3*((-64)/((-88192)/(-159)))/((-6)/26)
109
What is (((-168)/(-504))/(4/6))/(6/(-552))?
-46
Evaluate (-1)/3*4158/882.
-11/7
Calculate (2/((-138)/23))/(-4*15/36).
1/5
What is the value of (3*26/351)/(-92*5/(-30))?
1/69
Evaluate 2/((166/(-332))/(26/2)).
-52
Evaluate (-1073)/(-16095)*5*-57.
-19
What is the value of ((-29986)/(-2726))/(121/(-45))?
-45/11
What is (143/((-10439)/5548))/2?
-38
What is the value of (2/25)/((-66)/(-30))*27/((-297)/110)?
-4/11
(4386/170)/((-111)/185)
-43
What is (-4)/(64/48)*((-20)/120)/(2/(-64))?
-16
Calculate (8/4)/(19/(-38950)*-41).
100
Calculate (3*1/(6/6))/(7866/3059).
7/6
What is -3*2/(-4)*4/(-21)*(-74774)/(-331142)?
-2/31
What is ((-3)/(-6))/(26*11/8008)?
14
Evaluate (13*(-168)/(-624))/((-28)/(-40)).
5
Evaluate 3045/(-25230)*((-16)/7)/(-4).
-2/29
What is the value of 28512/(-2808)*-39*-2*(-1)/12?
66
((-904)/1356*(-150)/16)/(10/48)
30
Calculate 7/43*5/((-9)/((-297)/(-385))).
-3/43
(-8)/14*-9*98/252*69/(-2)
-69
Calculate (24/(-28))/((-928)/(-406)).
-3/8
Evaluate ((-72)/8)/(30/60).
-18
What is ((-1992)/16)/(-83)*(16/(-732))/2?
-1/61
What is the value of ((-7)/(-14))/(-18*(-287)/(-45756)*(-1)/14)?
62
What is the value of (14/(-24))/((-117)/(-351))*(-6)/14?
3/4
Evaluate 30*(-18)/(-144)*52/(-13).
-15
What is (((-44)/(-6))/(76/(-57)))/((-10)/40*18)?
11/9
Calculate ((-320)/168)/(21/((-11466)/52)).
20
What is ((14/((-784)/126))/3)/((162/4)/9)?
-1/6
What is the value of ((540/(-198))/(-30))/(1566/198)?
1/87
What is (-1*2/48)/((-1)/(-108*(-45)/810))?
1/4
What is the value of ((-8)/(-440))/((1740/(-150))/58)?
-1/11
Evaluate ((-7)/210*414)/(4/(40/3)).
-46
Evaluate (((-1980)/(-44))/5)/6.
3/2
What is the value of (-4)/((((-480)/(-70))/(-8))/((-78)/(-4004)))?
1/11
(100/40)/((180/1608)/3)
67
Evaluate (12/15)/(77/(12320/3264)).
2/51
What is the value of (-3)/(24/(-20))*(-8206)/373?
-55
What is (27/(-351))/(3/6)?
-2/13
(2/12*2/2)/(209059/(-30594))
-1/41
Calculate ((-1)/2)/((1/((-123)/(-9)))/(7338/(-1223))).
41
Evaluate ((-2954)/(-3376))/(8554/(-416)).
-2/47
What is ((285/5)/57)/(35*-3*4/(-10))?
1/42
What is the value of (((-84)/234)/(8/(-13)))/((-1)/(-15))?
35/4
(-462)/(-176)*-2*((-25)/9)/25
7/12
What is (-703)/13357*57/(-3)?
1
Calculate (29610/55272)/((-2)/56).
-15
Calculate 12/90*18*(-14740)/(-402).
88
What is the value of (-63756)/(-4186)*299/138?
33
102/1615*(15/3)/((-4)/4)
-6/19
10/(-9*(-18)/27)*-12
-20
Evaluate 1/(((-51)/(-2652))/((10/(-4))/((-25)/5))).
26
Evaluate 14/119*8296/5856.
1/6
Calculate 6*-1*(-2)/24*(-2268)/(-25515).
2/45
Calculate (-1*(-2)/(-26))/((12546/1989)/(-41)).
1/2
What is (3/100*129/(-903))/((-6)/16)?
2/175
Evaluate (144/351)/((-620)/(-12090)).
8
Calculate (1*158/(-2))/(93/186)*5/10.
-79
(-35)/10*(-450)/70*(-7)/(42/(-8))
30
Evaluate (50/(120/(-12)))/((-6)/(-4)*(-869)/237).
10/11
What is the value of (-58)/((-580)/(-5))*(-852)/6?
71
Calculate (80/120)/(104/(-6708)).
-43
Evaluate (68/(-2006))/(8/8).
-2/59
What is (-98)/(-105)*2622/3059*430/4?
86
Calculate (-22*(-26)/858)/(152/(-108)*-6).
3/38
Evaluate ((-32)/20)/(((-1503)/15)/(45/60)).
2/167
What is the value of 6*(-63)/(-114)*(10998/329)/(-117)?
-18/19
Evaluate ((-1232)/(-33))/(-7)*(561/(-22))/17.
8
What is the value of (-717915)/(-42823)*34/6?
95
((-9)/114)/(335/12730)
-3
Calculate (11/(2288/(-140)))/(90/(-144)).
14/13
What is the value of ((-372)/5642)/(8/(-26))*462/30?
33/10
What is the value of ((-15)/12)/(-1)*166*94/235?
83
What is ((0/(-25))/34)/(((-35)/(-5))/(-7))?
0
Calculate ((1620/(-240))/(-27))/((-1)/(-4)*(-1)/(-71)).
71
What is the value of (146*-2*640/1280)/(-3*8/6)?
73/2
What is the value of -55*8/(480/3)?
-11/4
Calculate (5/(-15))/(-1)*(-6)/(-4)*(-450)/525.
- | {
"pile_set_name": "DM Mathematics"
} |
2 = 7*q - 25 for q.
-1
Solve -6*n = -3*n - 12 for n.
4
Solve -884*x + 874*x = 30 for x.
-3
Solve 25*g - 24 = 33*g for g.
-3
Solve -12*a = 16*a - 28 for a.
1
Solve 0 = -p - 24*p - 100 for p.
-4
Solve 6*i + 64 - 94 = 0 for i.
5
Solve 144*f + 70 = 158*f for f.
5
Solve -30 + 44 = -2*l for l.
-7
Solve 0 = 14*s - 57*s + 86 for s.
2
Solve 26*i - 3*i = -161 for i.
-7
Solve 11*w = -46 - 20 for w.
-6
Solve 64*u - 168 = 152 for u.
5
Solve -54*q + 84 = -26*q for q.
3
Solve -8*m + 5*m = -12 for m.
4
Solve 51*s - 18 = 186 for s.
4
Solve 51*v - 12 = 54*v for v.
-4
Solve -4 + 2 = 2*c for c.
-1
Solve -m = -0*m + 2 for m.
-2
Solve 26*w + 148 + 8 = 0 for w.
-6
Solve 8*u + 13 - 29 = 0 for u.
2
Solve -2*d + 10 = 8 for d.
1
Solve -79*c + 105*c = -26 for c.
-1
Solve -14*w = 2*w - 2*w for w.
0
Solve 62 = 46*c - 398 for c.
10
Solve -1 = 13*c + 12 for c.
-1
Solve -4*a + 11 = 19 for a.
-2
Solve 7*w + 24 = -4 for w.
-4
Solve -7*a - 118 = -104 for a.
-2
Solve -125 = 32*t - 29 for t.
-3
Solve -39 + 11 = -7*n for n.
4
Solve -15166*o = -15162*o for o.
0
Solve -7*k + 7 = -0 for k.
1
Solve 0 = -87*t - 96 + 444 for t.
4
Solve -20 + 11 = -9*d for d.
1
Solve 54*a + 144 = -126 for a.
-5
Solve 4*x - 49 = -3*x for x.
7
Solve 33*w + 54 = 24*w for w.
-6
Solve -251*t + 256*t = -5 for t.
-1
Solve 0 = 4*y + 15 - 3 for y.
-3
Solve 0 = -u - 4*u - 15 for u.
-3
Solve 9*u - 9 = 8*u for u.
9
Solve 0 = -64*c + 241 + 15 for c.
4
Solve -n - 9*n = -20 for n.
2
Solve -15 = -3*d - 2*d for d.
3
Solve -132 - 57 = -27*j for j.
7
Solve 0 = 14*h + 2*h - 16 for h.
1
Solve -15*p - 12 = -18*p for p.
4
Solve -9*d = 7 - 34 for d.
3
Solve -21*w + 11*w - 40 = 0 for w.
-4
Solve 13*q + 6 = 16*q for q.
2
Solve 12*i - 15*i = 0 for i.
0
Solve 0 = -3*x + 12 - 6 for x.
2
Solve -2*h = 48 - 54 for h.
3
Solve -12*y + 260 = -64*y for y.
-5
Solve 4*x - 8 = 12 for x.
5
Solve 16*m + 660 = 580 for m.
-5
Solve -3*v + 28 = 4*v for v.
4
Solve -173 = 27*t - 38 for t.
-5
Solve -9*g = 981 - 954 for g.
-3
Solve 89*y - 62*y = 27 for y.
1
Solve -16*d + 22*d = 18 for d.
3
Solve -16 + 1 = 3*p for p.
-5
Solve 29*d - 219 = -44*d for d.
3
Solve 0 = -i - 6 + 1 for i.
-5
Solve 127*r = 117*r + 50 for r.
5
Solve 4*f = 12 + 8 for f.
5
Solve 0 = 20*t - 6*t + 28 for t.
-2
Solve -5*q = -3*q + 4*q for q.
0
Solve 10*h + 174 = 214 for h.
4
Solve -9*w = -50*w - 287 for w.
-7
Solve -2*u + 3*u + 4 = 0 for u.
-4
Solve 9 + 16 = 5*l for l.
5
Solve 8*m + 20 = 13*m for m.
4
Solve -115 = 6*g - 91 for g.
-4
Solve -27*z = -20*z + 7 for z.
-1
Solve -7*b = 9*b for b.
0
Solve -39 - 10 = 7*n for n.
-7
Solve -75 = -23*o + 17 for o.
4
Solve 0 = -18*m + 14*m - 12 for m.
-3
Solve -443 = 4*v - 447 for v.
1
Solve 75*u + 7 = 82*u for u.
1
Solve 2*v - 14 = -24 for v.
-5
Solve 92*s - 178 = 6 for s.
2
Solve 3*p + 18 - 12 = 0 for p.
-2
Solve 0 = 32*o + 8*o + 240 for o.
-6
Solve 18*x = 15*x for x.
0
Solve 4 = -8*l - 12 for l.
-2
Solve 2 = -20*b + 19*b for b.
-2
Solve l + 117 - 121 = 0 for l.
4
Solve 54 = -18*c + 36 for c.
-1
Solve -54*l + 200 = -14*l for l.
5
Solve 10*z = -16 + 36 for z.
2
Solve -26 = -5*p - 1 for p.
5
Solve 60*n - 68 = 43*n for n.
4
Solve 3*g = -30 + 18 for g.
-4
Solve -11 - 9 = 4*a for a.
-5
Solve 34*o + 15 = 19*o for o.
-1
Solve -14 + 2 = -6*l for l.
2
Solve 0 = 62*j + 100 + 86 for j.
-3
Solve 43*g = -80*g - 861 for g.
-7
Solve 9*p - 3 = -12 for p.
-1
Solve -223*m = -221*m + 10 for m.
-5
Solve 0 = -144*m + 154*m for m.
0
Solve -10*h - 29 - 71 = 0 for h.
-10
Solve -11*n = -10*n for n.
0
Solve 6*g - 16*g + 20 = 0 for g.
2
Solve -8*y + 6 = -2 for y.
1
Solve -12*h + 18*h + 44*h = 0 for h.
0
Solve -8*t - 29 = -5 for t.
-3
Solve -9*z + 20 = -7 for z.
3
Solve 37*i + 49 = 30*i for i.
-7
Solve 55*n - 16*n - 273 = 0 for n.
7
Solve -39*a + 64 = -53 for a.
3
Solve 0 = 4*l - 49 + 29 for l.
5
Solve -624 + 127 = -71*b for b.
7
Solve -128*z = 677 + 91 for z.
-6
Solve -195 = -v + 40*v for v.
-5
Solve 40*v - 10 = 35*v for v.
2
Solve -22*p - 5 = -27*p for p.
1
Solve 2*y + 45 = 11*y for y.
5
Solve 0 = 10*j - 20 + 30 for j.
-1
Solve 3*j + 25*j - 168 = 0 for j.
6
Solve 1251*w - 1246*w = 40 for w.
8
Solve -12 = -31*u + 35*u for u.
-3
Solve 0 = -18*h + 16*h - 2 for h.
-1
Solve 0*j = 38*j + 152 for j.
-4
Solve 393*b = 387*b for b.
0
Solve 18*w = 13*w + 25 for w.
5
Solve -72*k - 21 = -69*k for k.
-7
Solve -14*z = -8*z + 24 for z.
-4
Solve 8*u + 68 = -9*u for u.
-4
Solve 172*u - 214*u + 168 = 0 for u.
4
Solve -7*w = -11*w for w.
0
Solve -28*r + 20*r + 32 = 0 for r.
4
Solve 4*l - 31 = -11 for l.
5
Solve 0 = -10*l + 29*l - 190 for l.
10
Solve 2*u + 12 = 6*u for u.
3
Solve 4*r - 6 = r for r.
2
Solve -4 = g - 2 for g.
-2
Solve 0 = 2*f + 5*f - 21 for f.
3
Solve 4*q + 5 = -35 for q.
-10
Solve 0 = -65*b - 11*b - 152 for b.
-2
Solve 3*c - 2*c - 5 = 0 for c.
5
Solve -15 = -18*d + 21*d for d.
-5
Solve 116*c - 5 = 115*c for c.
5
Solve -f + 18 - 25 = 0 for f.
-7
Solve 0 = 4*s - 9*s for s.
0
Solve 24 = -q - 3*q for q.
-6
Solve 19*u - 49*u + 210 = 0 for u.
7
Solve -26*k = 88 - 10 for k.
-3
Solve -4 = -60*w + 62*w for w.
-2
Solve -79*n + 62*n = 0 for n.
0
Solve -30*u = -28*u for u.
0
Solve 8*v + 2 = 10*v for v.
1
Solve 7*w - 9*w - 6 = 0 for w.
-3
Solve -25*y - 223 = -48 for y.
-7
Solve 0 = 9*h - 416 + 434 for h.
-2
Solve -9*o - 1445 = -1499 for o.
6
Solve 17*y = 11*y + 30 for y.
5
Solve -12*d + 47 = 11 for d.
3
Solve 0 = -5*q - 2691 + 2726 for q.
7
Solve -302*r + 307*r + 25 = 0 for r.
-5
Solve -15*n = -14*n - 1 for n.
1
Solve 12*c + 15 = -9 for c.
-2
Solve -45*c - 219 - 6 = 0 for c.
-5
Solve -6*q = -6042 + 6090 for q.
-8
Solve -3*w + 2*w = 5 for w.
-5
Solve -62*q + 49*q = 26 for q.
-2
Solve -172*r + 174*r + 10 = 0 for r.
-5
Solve 7*s - 15 = 4*s for s.
5
Solve -7*x - 2 + 16 = 0 for x.
2
Solve -52 + 44 = 2*r for r.
-4
Solve 21*y - 100 = 26 for y.
6
Solve 13 + 13 = -26*k for k.
-1
Solve 17 = 5*l + 32 for l.
-3
Solve 0 = -11*t + 18*t + 42 for t.
-6
Solve 0 = 45*o - 9*o + 252 for o.
-7
Solve 11 + 0 = -11*b for b.
-1
Solve 0 = 9*b - 72 + 108 for b.
-4
Solve -31*q + 94*q + 315 = 0 for q.
-5
Solve 0 = -24*l + 16*l - 8 for l.
-1
Solve 733*u - 722*u + 33 = 0 for u.
-3
Solve y + 3 = -0*y for y.
-3
Solve -408*z + 402*z = 0 for z.
0
Solve 308 - 317 = -3*a for a.
3
Solve 6 = 17*f - 16*f for f.
6
Solve -12*l + 6 = -6 for l.
1
Solve -4*v - 3*v = 0 for v.
0
Solve -5*q + 28 - 63 = 0 for q.
-7
Solve -137*k - 2 = -136*k for k.
-2
Solve -149*a + 143*a - 18 = 0 for a.
-3
Solve -2*l + 20 = -6*l for l.
-5
Solve -101 = 11*k - 2 for k.
-9
Solve 0 = -43*p + 73*p + 30 for p.
-1
Solve -151 = -6*q - 187 for q.
-6
Solve 56*o = -o - 228 for o.
-4
Solve -8*n = -1 - 7 for n.
1
Solve 0 = 39*g + 101 - 23 for g.
-2
Solve -29*s - 51 = -12*s for s.
-3
Solve 52 = -0*v - 13*v for v.
-4
Solve 35 = -192*d + 199*d for d.
5
Solve -18*f - 279 + 315 = 0 for f.
2
Solve -47*s = -50*s + 6 for s.
2
Solve 2*b - 14 = -18 for b.
-2
Solve 4*u = 18*u - 56 for u.
4
Solve 91*u + 45*u + 272 = 0 for u.
-2
Solve 0 = -33*d + 28*d - 25 for d.
-5
Solve -25 = -77*v + 72*v for v.
5
Solve 0 = 10*x + 228 - 248 for x.
2
Solve -494 = 7*w - 508 for w.
2
Solve 10*j + 160 = 110 for j.
-5
Solve -8*n + 88 = 112 for n.
-3
Solve 46*w + 253 = -23 for w.
-6
Solve 23*h = -219 + 288 for h.
3
Solve 62*t = 5*t - 570 for t.
-10
Solve -10*g - 127 = -37 for g.
-9
Solve -2*t + 13 = 15 for t.
-1
Solve -2*o - 489 + 491 = 0 for o.
1
Solve 40*u = 54*u - 84 for u.
6
Solve -226*q = -218*q - 24 for q.
3
Solve -32*y - 14*y - 414 = 0 for y.
-9
Solve -86*w - 871 + 183 = 0 for w.
-8
Solve 0 = -0*p + 9*p + 18 for p.
-2
Solve 17*y + 50 = 118 for y.
4
Solve -44*v = -23*v + 63 for v.
-3
Solve -18 + 62 = -11*o for o.
-4
Solve -123*h + 127*h = 8 for h.
2
Solve 2*y = -y - 15 for y.
-5
Solve -6*x + 35 = -13*x for x.
-5
Solve -154*d - 315 = -199*d for d.
7
Solve 16*v - 3 = 29 for v.
2
Solve 28*n - 42*n = -70 for n.
5
Solve -40*u = -38*u + 4 for u.
-2
Solve 4*o - 20*o = 80 for o.
-5
Solve 8*a - 11 - 5 = 0 for a.
2
Solve 5*a - 17 + 2 = 0 for a.
3
Solve 4 = 4*j - 12 for j.
4
Solve 6*q - 3*q = -8*q for q.
0
Solve -556 = -2*v - 548 for v.
4
Solve -3*d + 30 = 3*d for d.
5
Solve 3*t - 16 = 7*t for t.
-4
Solve 6*u - 52 = -7*u for u.
4
Solve 174*u - 172*u - 10 = 0 for u.
5
Solve -2*g + 110 = 100 for g.
5
Solve 24*y + 154 + 62 = 0 for y.
-9
Solve 206 = -7*y + 164 for y.
-6
Solve 15*n + 0*n + 30 = 0 for n.
-2 | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of 0*o**4 + 1/35*o**7 + 2 - o**2 + 0*o + 0*o**5 + 1/60*o**6 + 0*o**3. Let k(t) be the second derivative of q(t). Factor k(y).
2*y**3*(3*y + 1)
Let t(j) be the first derivative of -j**7/735 + j**6/105 - j**5/35 + j**4/21 - j**3/21 + 3*j**2/2 + 4. Let c(u) be the second derivative of t(u). Factor c(h).
-2*(h - 1)**4/7
Factor 13*o**2 - 10*o**2 + 1 - 6*o - 3*o + 5.
3*(o - 2)*(o - 1)
Let v(h) = h**2 - h - 1. Let j(y) = -2*y**3 + 2*y + 4. Let b(g) = j(g) + 4*v(g). Solve b(w) = 0.
0, 1
Let p(s) be the second derivative of -s**6/20 - 3*s**5/20 + s**4/8 + s**3/2 + 4*s. Factor p(q).
-3*q*(q - 1)*(q + 1)*(q + 2)/2
Factor 75 - 2*y - 33 - 39 - y**2.
-(y - 1)*(y + 3)
Let p = 306 + -1526/5. Suppose 2*k - k = 0. Factor 3/5*w**4 - p*w**2 + 4/5*w - w**3 + k.
w*(w - 2)*(w + 1)*(3*w - 2)/5
Suppose 6 = -s + 3*s. Find m, given that -448*m**4 - 508*m**2 + 1 - 229*m - 3 + 77*m - 14 - 722*m**s - 98*m**5 = 0.
-2, -1, -2/7
What is z in 20/9*z - 20/9*z**3 - 50/9 + 16/3*z**2 + 2/9*z**4 = 0?
-1, 1, 5
Factor -3*a + 5*a**2 + 14*a**4 - 20*a**4 + 3*a**3 + a**2.
-3*a*(a - 1)*(a + 1)*(2*a - 1)
Let i be 1 - (-1 - -2)*-2. Find z, given that 2 + z - 5*z**2 + 5*z**2 + 2*z**3 - i*z - 2*z**2 = 0.
-1, 1
Let i = -82 - -13. Let r = 347/5 + i. Factor w**2 + 0 + r*w + 3/5*w**3.
w*(w + 1)*(3*w + 2)/5
Suppose h = 16 - 14. Factor 1/3*f**h + 0*f - 4/3.
(f - 2)*(f + 2)/3
Suppose 13 = 5*j - 0*j + h, -2*h - 4 = -5*j. Let l be (20/(-8))/((-1)/j). Factor 0*b**3 + l*b + 11*b**2 - 10*b**3 - 5*b**2 - b.
-2*b*(b - 1)*(5*b + 2)
Let r(h) be the second derivative of 0 - 1/4*h**5 + 0*h**2 - 1/4*h**4 + 1/3*h**3 - 4*h. Find j, given that r(j) = 0.
-1, 0, 2/5
Let n(q) be the third derivative of -2*q**6/5 - 14*q**5/5 - 25*q**4/8 - 3*q**3/2 - 26*q**2. Find m, given that n(m) = 0.
-3, -1/4
Let x = -6 + 6. Suppose 3 + x = m. Find k, given that 0 + 2 + 2*k**2 - 2*k**3 - 4 + 2*k + 0*k**m = 0.
-1, 1
Let y be 42/(-27)*24/(-208). Let o = y - -2/13. Suppose o*c**2 + 2/3*c + 1/3 = 0. Calculate c.
-1
Let s(x) be the third derivative of x**7/30 + x**6/24 - 3*x**5/20 - 5*x**4/24 + x**3/3 + 32*x**2 + 2*x. Solve s(c) = 0.
-1, 2/7, 1
Let q = -91702951/12726 - -100887/14. Let z = q + -4/101. Solve -2/9*f + z*f**3 - 4/9*f**2 + 4/9 = 0.
-1, 1, 2
Let z(v) be the second derivative of -v**5/10 + v**4/2 - 2*v**3/3 + 31*v. Factor z(s).
-2*s*(s - 2)*(s - 1)
Find b, given that 0 - 4/5*b**3 + 0*b + 2/5*b**2 + 2/5*b**4 = 0.
0, 1
Let c be (2 + 45/(-6))*-2. Suppose c*y = 6*y + 15. Determine s, given that y*s**3 - 2*s**2 + 2 - 5*s**3 - 2*s + 4*s**3 = 0.
-1, 1
Let q(n) be the second derivative of n**5/4 - 65*n**4/12 + 40*n**3 - 90*n**2 + 9*n. Factor q(s).
5*(s - 6)**2*(s - 1)
Let p(t) be the third derivative of t**8/294 - t**7/245 - 13*t**6/420 + t**5/210 + 3*t**4/28 + 2*t**3/21 - 6*t**2. Suppose p(j) = 0. Calculate j.
-1, -1/4, 1, 2
Suppose 9*a + 6*a**2 - 17*a**2 + 8*a**2 = 0. What is a?
0, 3
Let h be (44/(-70))/((-6)/33). Let l = h + -13/5. Find p, given that -2/7 - 6/7*p**2 + l*p + 2/7*p**3 = 0.
1
Let o = -1075969/2207280 - 1/27591. Let s = 27/16 + o. What is x in -s*x + 8/5*x**2 - 2/5 = 0?
-1/4, 1
Let m(y) be the first derivative of -2/15*y**3 + 0*y - 3/5*y**2 + 1 + 2/25*y**5 + 3/10*y**4. Let m(j) = 0. Calculate j.
-3, -1, 0, 1
Let y = -1 - -3. Let -3*w**3 - y*w**2 + 3*w - 5*w**2 + w**2 + 6 = 0. What is w?
-2, -1, 1
Let y(w) = -w**2 + w. Suppose 2 - 4 = -2*x. Let r(m) = -18*m**3 - 15*m**2 + 43*m - 16. Let z(g) = x*r(g) - 3*y(g). Determine d, given that z(d) = 0.
-2, 2/3
Suppose 343*v - 350*v + 21 = 0. Factor -1/8*n**v + 3/8*n**2 + 0*n + 0.
-n**2*(n - 3)/8
Suppose 31 = 5*g + 3*h - 6*h, -4*h = -2*g + 18. Suppose -l - 3*l - z = -1, -5*z = g*l - 5. Find a, given that 0*a + l*a + a**2 = 0.
0
Factor 3/8*k**5 - 15/8*k**3 - 3/8*k**2 + 3*k + 3/8*k**4 - 3/2.
3*(k - 1)**3*(k + 2)**2/8
Let f = 1375 - 147127/107. Let c = 99/428 - f. Solve 1/4*d**4 + c*d**5 + 0 - 1/4*d**2 - 1/4*d**3 + 0*d = 0 for d.
-1, 0, 1
Let p = 355 - 1759/5. Let c be (1 - 14/6)/(44/(-66)). Find h, given that -2/5*h**3 - p - 2/5*h**5 - 8/5*h**4 + 8/5*h + 4*h**c = 0.
-2, 1
Let o(k) be the third derivative of -k**7/420 - k**6/48 - k**5/30 + 17*k**2. Let o(s) = 0. Calculate s.
-4, -1, 0
Determine q, given that -97 + 178 + 6*q**2 - 89 + 2*q**3 = 0.
-2, 1
Let w(i) be the second derivative of i**5/10 - i**4/4 + i**2/2 + 10*i. What is f in w(f) = 0?
-1/2, 1
Let u(k) be the first derivative of 2 + 0*k**2 + 0*k + 1/4*k**4 + 0*k**3 + 1/5*k**5. Factor u(r).
r**3*(r + 1)
Let b(m) = 4*m**2 + 14*m - 12. Let y be (-116)/(-10) + 10/25. Let q(j) = j**2 + j - 1. Let d(o) = y*q(o) - b(o). Find s, given that d(s) = 0.
0, 1/4
Let b(j) be the third derivative of 1/112*j**8 + 0*j**3 + 3/10*j**6 + 0 + 0*j + 2/5*j**5 + 3/35*j**7 - 3*j**2 + 0*j**4. Factor b(m).
3*m**2*(m + 2)**3
Let j(k) = k**3 - k. Let o(d) = d**4 - 4*d**3 - d**2 + 4*d. Suppose 0 = -2*h - 3 + 13. Suppose h = 3*z - 10. Let i(p) = z*j(p) + o(p). Factor i(x).
x*(x - 1)*(x + 1)**2
Let q(c) be the third derivative of c**5/20 + 7*c**4/24 - c**3 - 4*c**2. Determine p so that q(p) = 0.
-3, 2/3
Let m(d) be the second derivative of 3*d**5/140 + 3*d**4/28 + 9*d. Factor m(h).
3*h**2*(h + 3)/7
Let m be (0 + -2 + 0)*-1. Suppose -5*i = -5*z - 25, 3*i + m*z + 0*z = 5. Let 18*n**3 + 3*n + i*n**5 - n**4 - 12*n**2 - 2*n**4 - 5*n**4 - 4*n**4 = 0. What is n?
0, 1
Suppose -28 = -5*z - 3. Let t(h) be the first derivative of 0*h**2 - 2/3*h**3 + 1/2*h**4 + 3 + h**6 + 2*h**z + 0*h. Find c such that t(c) = 0.
-1, 0, 1/3
Factor 0*i + 0*i**3 + 3/4*i**2 - 3/8*i**4 - 3/8.
-3*(i - 1)**2*(i + 1)**2/8
Let i(s) be the second derivative of -s**7/21 - s**6/4 - 3*s**5/10 + s**4/6 + 35*s. Factor i(k).
-k**2*(k + 2)**2*(4*k - 1)/2
Let y(w) = -2*w - 5. Let k be y(-4). Factor 3*f**3 + 6*f**5 - 9*f**k + 2*f + f - 3*f**5.
3*f*(f - 1)**2*(f + 1)**2
Let b(y) be the third derivative of -1/6*y**3 + 2/15*y**6 + 0 - y**2 + 0*y + 3/8*y**4 - 2/5*y**5. Factor b(p).
(p - 1)*(4*p - 1)**2
Let b = -5 - -6. Let n(i) = -3*i**4 - 6*i**3 + 12*i**2 - 6*i - 6. Let q(t) = t**4 - t**3 + t + 1. Let m(r) = b*n(r) + 6*q(r). Determine j so that m(j) = 0.
0, 2
Let l(j) = 2*j**3 + 9*j**2 + j - 10. Let t be l(-4). Factor 48*r + 125/2*r**5 - 70*r**3 + 64*r**t - 225/2*r**4 + 8.
(r - 2)*(r - 1)*(5*r + 2)**3/2
Let d(k) be the first derivative of 2*k**5/35 + k**4/7 - 2*k**3/7 - 8*k**2/7 - 8*k/7 + 24. Factor d(q).
2*(q - 2)*(q + 1)**2*(q + 2)/7
Let v(z) be the first derivative of 0*z - z**2 - 2/3*z**3 + 2. Factor v(m).
-2*m*(m + 1)
Let c(b) be the first derivative of b**4/12 - 2*b**3/9 - 5*b**2/6 + 2*b + 11. Determine h, given that c(h) = 0.
-2, 1, 3
Let j(s) = -s**5 + 4*s**4 + 3*s**3 + 2*s**2 - 2*s. Let y(g) = 2*g**5 - 9*g**4 - 6*g**3 - 5*g**2 + 4*g. Let f(u) = 7*j(u) + 3*y(u). Factor f(c).
-c*(c - 2)*(c - 1)*(c + 1)**2
Determine g so that 0*g - 5/2 + 5/2*g**2 = 0.
-1, 1
Suppose -2/17*g**4 + 10/17*g**3 - 4/17 - 18/17*g**2 + 14/17*g = 0. What is g?
1, 2
Let n = -4 - -6. Let -2*j + 10*j**2 - 6*j**3 + 3*j**3 - 3*j**3 - n = 0. Calculate j.
-1/3, 1
Let p = -829 + 14101/17. Let y = 41/51 - p. Factor 0*o - y*o**2 + 0.
-o**2/3
Let w(z) = -10*z**3 - 17*z**2 + 77*z - 37. Let s(f) = 5*f**3 + 9*f**2 - 39*f + 19. Let m(a) = 13*s(a) + 6*w(a). Factor m(d).
5*(d - 1)**2*(d + 5)
Suppose -4*i = -3*k - 7*i - 3, 5*k = -4*i - 3. Let n = k + 1. Let p**3 - 7*p**3 + 9*p**n - 7*p**2 = 0. What is p?
0, 1/3
Let l(j) be the third derivative of j**7/420 - j**2. What is k in l(k) = 0?
0
Let n(u) be the second derivative of -2*u**5/15 - 7*u**4/12 + 2*u**3/3 - 4*u**2 - 2*u. Let c(q) be the first derivative of n(q). Factor c(r).
-2*(r + 2)*(4*r - 1)
Let d(x) be the second derivative of x**4/72 + x**3/12 + x**2/6 + 8*x. Factor d(y).
(y + 1)*(y + 2)/6
Factor 16/5*m + 8/5*m**2 - 16/5*m**3 - 1/5*m**5 - 16/5 + 7/5*m**4.
-(m - 2)**4*(m + 1)/5
Let -2*u - 3 - 1/3*u**2 = 0. Calculate u.
-3
Suppose 3*s + 25 = 5*y - 3, 2*y = s + 11. Factor k**3 - k - k**2 - y*k**4 + 2*k**4 + 4*k**4.
k*(k - 1)*(k + 1)**2
Let 3/2*x**2 + 0 - 1/2*x**3 - x = 0. Calculate x.
0, 1, 2
Let z(s) be the first derivative of -686*s**6/3 + 588*s**5 + 112*s**4 - 1376*s**3/3 - 288*s**2 - 64*s - 7. Determine c so that z(c) = 0.
-2/7, 1, 2
Let f(m) be the second derivative of -m**5/20 - 3*m**4/4 + 3*m**2 - m. Let u be f(-9). Solve 2*t - u*t - 1 + 2*t**2 + 3 = 0 for | {
"pile_set_name": "DM Mathematics"
} |
/33
Evaluate ((-371)/(-231) - (-24)/(-88))/((-20)/6).
-2/5
Calculate (-137)/(-9) - (18 - 3).
2/9
Calculate (-704)/(-120) - -2 - 4 - (-5 - -9).
-2/15
What is the value of (92/(-48))/(-23) + (-14)/(-120)?
1/5
What is 48/(-30)*(41 + -46)?
8
(-62)/(-30) + ((-42)/60)/(-7)*-4
5/3
Evaluate (-46)/(-2) - (4 + (-164)/(-41)).
15
Evaluate (-13 + 8/2)/(584/16 - 8).
-6/19
What is (-500)/2800*42/(-15)?
1/2
What is (6/(-285))/(7/(-140)*-4)?
-2/19
What is 54/(-1326) - (23 - (-1490)/(-65))?
-2/17
(0 + 9)*1425/(-513) + 20
-5
What is the value of (1*(3 - 1) + (-33 - -27))/7?
-4/7
Evaluate 91*((-8)/(-49))/(652/1141).
26
What is (-6118)/2185*320/(-28)?
32
58/(-29)*121/22
-11
What is the value of ((-3)/(-4) + -2)*(-756)/315?
3
(-8)/2 + (138/15 - (-90 - -96))
-4/5
Calculate (0 + -8)*19/38*(-49)/147.
4/3
Calculate -11 + (19/(190/(-70)) - -8).
-10
Evaluate (-111)/(-11) + 16/240 + 26/(-165).
10
Calculate 4*9/6 - -4*230/(-160).
1/4
What is ((-24)/(-10))/((-10)/(-25))?
6
(-476)/255 - (-2 - 8/(-6))
-6/5
What is 5/40*8*0?
0
Calculate (-56)/14 + (-12)/6.
-6
Calculate 12 + 0 - 452/(-113).
16
What is (17 - 8 - 12) + 21?
18
What is ((-1608)/(-144) - -2) + -13?
1/6
Calculate (-1)/(-3)*0/(-859).
0
Calculate (9 - 1080/126) + 130/(-42).
-8/3
What is 22427/(-30632) + (-6)/(-56)?
-5/8
16/2 + (-3)/((-42)/(-104))
4/7
What is 484/(-66) - (-150)/25?
-4/3
Evaluate ((-1598)/(-1974))/((-3)/(-63)).
17
Calculate ((-11)/22 - 3)*(-270)/63.
15
Calculate (9 + 912/(-95))*(-4)/(-6).
-2/5
What is the value of (-9 - 2373/(-266))/((-92)/(-16) + -5)?
-2/19
Calculate (-45)/54*4*(-42)/5.
28
Calculate (-2)/(-25) - ((-920997)/(-113400) - 2*4).
-1/24
Calculate 362/3258*54/14.
3/7
What is (450/(-54) - -9)/(11/(-3))?
-2/11
-30 + 28/1 - 1/(1/(-10))
8
(12075/(-126))/115 + 105/54 + 0
10/9
Calculate ((-54)/3)/(40 + -46).
3
Calculate -3*(84/(-8) - -10)*2/6.
1/2
Evaluate 1010/18180*(-4 - -1).
-1/6
Evaluate 6/(-14) + (-13)/(-91) + (-384)/(-21).
18
What is (-12)/14*(-469)/670?
3/5
1/(-2 + 0 + 405/(-15) + 16)
-1/13
Evaluate (-4)/(-34) - (-4 + ((-1540)/(-85) - 0)).
-14
(105/546)/(30/273)
7/4
What is ((-2)/5)/((-78)/(-585)) + 2*1?
-1
Calculate (-4)/1 - 3 - (12 - 1218/63).
1/3
1/(((-192)/(-112))/12)
7
What is (5 - -12)*(4 - 5)/(1 + 0)?
-17
Evaluate (374/(-121))/(2/(-4)) + 46/(-253).
6
What is ((-3496)/2392)/(1/(-13))?
19
Evaluate ((-880)/(-24))/10*(-2 + -5)/(-7).
11/3
What is the value of ((-1095)/75 - -15)*-15?
-6
What is the value of ((-14)/(392/(-70)))/(1/(-2))?
-5
(0 - 16/(-2)) + 206 + -219
-5
What is the value of -5*2*(-3638)/(-2140)?
-17
What is the value of -57 + 60 + (-476)/231 + (-4)/6?
3/11
Evaluate 2/(-18)*(-92 - -95).
-1/3
What is (1 - 0)*(-2)/7 - (-1545)/(-105)?
-15
What is the value of -42*4*(-18)/432?
7
((-8)/42)/(13 + 2044/(-196))
-2/27
What is (-9 + 204/60)*(-45)/(-18)?
-14
Evaluate (-783)/(-378) - (10/(-16))/(10/(-40)).
-3/7
Calculate (-217795)/52676 - 8/13.
-19/4
(33/(-55) + 0)/(4/(-400)*-4)
-15
What is the value of 45/(-12) - (-132)/176?
-3
Evaluate (-2)/8*(-339 + 387).
-12
Evaluate -15 + (76/68)/((-60)/(-510)).
-11/2
Calculate (-160)/(-120)*9/(-6).
-2
What is the value of 6 + (4 - 2849/286)?
1/26
Evaluate 783 + -752 + (-3 + -1 - (-2)/2).
28
What is the value of (-4)/((-34)/51 - 2)?
3/2
What is (28188/2088)/((-9)/(-12))?
18
Calculate (-2)/((-11)/(44/(-8)) - 0).
-1
(1 - 9)/(15 - 16) + -4
4
Evaluate (-4)/(-7) - (180/385)/18.
6/11
((56/(-24))/((-11)/(-33)))/9
-7/9
(-24 - -16) + -6 + 19
5
What is the value of 30/6*(26/(-7))/((-20)/28)?
26
310/(-154) - (-13056)/5712
3/11
What is -863 + 883 + (-48 - -2)?
-26
(0 + 1)/(155 - 158)*(-12)/38
2/19
63/18*(6 - 5 - 3)
-7
(0 + (-20)/(-7))/((-142)/497)
-10
(3 + -1)/(2268/(-558) + (-2)/(-31))
-1/2
What is the value of -6 + (12/14 - (954/(-63) + 4))?
6
Calculate 4*(-750)/440 + 1/((-5)/(-45)).
24/11
(-3)/22*4*2*(274 + -275)
12/11
((-19)/(-285))/((-6)/50)
-5/9
Calculate (78/2886*-74)/(-2*(-1)/(-3)).
3
What is (-152)/(-1232) - (-3)/(-14)?
-1/11
Calculate (9/9)/(-5 - 14)*1/1.
-1/19
What is the value of (-9*(-10)/(-990))/(5/((-40)/(-4)))?
-2/11
What is the value of (19 - 17)/(1/(5/2))?
5
Evaluate (1156/680 - (-33)/(-15))*176/24.
-11/3
What is 7/(-49)*4/((-20)/(-5))?
-1/7
(-4)/(-5)*((-10)/(-6))/((-58)/(-174))
4
Calculate 24/(-360) + 239/(-15).
-16
7/(-34)*(-130)/(-455)
-1/17
Evaluate (207/(-66))/(-3) - (25 + (-6187)/253).
1/2
What is 7735/(-357) + (-28)/12?
-24
(420/175)/(3/(-10))
-8
Calculate (3*((-2)/3 + 0))/((-3892)/77840).
40
Evaluate (0 - -4) + 13/(-273)*60.
8/7
(70/16 - (-30)/48)*(-1 + 0)
-5
What is the value of (-190)/26 - (-364)/65*(-75)/(-60)?
-4/13
What is (550/150)/(8/(-12))?
-11/2
What is the value of ((-304)/24 - -16)*(21/(-5) + 0)?
-14
What is (-3370)/1050 + (-36)/(-540)?
-22/7
(-504)/420 - (4 - (-620)/(-225))
-22/9
Evaluate 56/10 - 6 - 6/(-10).
1/5
Evaluate 6/14*(-3)/(-9)*56/72.
1/9
What is 2*(-2)/(((-8)/12)/(7/(-399)))?
-2/19
What is -20*(2 + (-1566)/725)?
16/5
(1152/480*6/8)/(2/20)
18
Calculate 92/126 - ((-54)/(-315))/((-3)/(-5)).
4/9
12/(45/(-15)) + (-24)/10 + 6
-2/5
Calculate 1026/855*(-5)/22.
-3/11
1*((4 - -38) + -28)
14
Calculate 1350/(-18225) + (241/36)/((-3)/4).
-9
What is the value of (-24)/(-476)*((-3)/(-4) + 300/48)?
6/17
Evaluate (-145)/9 + (-59 - -75).
-1/9
Evaluate (2 - 2)/(2*(-25)/50).
0
What is 4*(-3 + 45/20)*5/9?
-5/3
What is (-6)/27 - (-195)/5616?
-3/16
Evaluate 9 - (12 - 10) - 39*(-2)/(-14).
10/7
(-9 + 189/18)*-6
-9
What is the value of 56/80*16/28?
2/5
(-1 - -6)/((-220)/264)
-6
Evaluate 29/((-783)/18)*(-9)/4.
3/2
Evaluate -11*(-42)/616 - 1/(-4).
1
Calculate 2/(((-6)/(546/7))/((-34)/221)).
4
(136/102 - 222/(-9)) + -9
17
Calculate (-4)/10 - 98/840*-7.
5/12
What is -1 - -16 - (-4488)/(-297) - 35/9?
-4
(540/368)/((-207)/(-138)) - 1
-1/46
What is the value of ((-1)/4 + 0)*11/66*-30?
5/4
What is (-564)/56 - (-75)/30*4?
-1/14
Evaluate (2 + 64)/(-6) + 16.
5
What is the value of (-4)/18 + (3458/(-315) - -12)?
4/5
(15 - 2054/78)/((-4)/6)
17
What is (32/(-12) - -3)/((39/(-54))/13)?
-6
What is the value of (128/12)/8*((-2180)/(-320) + -7)?
-1/4
What is ((-53)/((-106)/4))/((-2)/2)*15?
-30
What is the value of (5*(-10)/50)/(1/16)?
-16
What is -8 + (13 + 47)/(-10)?
-14
Calculate 3/(((-1395)/390)/31).
-26
What is (6 - 2)/(20/(-66) - (-4)/6)?
11
What is the value of 25/(150/(-12))*5?
-10
What is 391/17 + -33 - (1 + 35/(-3))?
2/3
What is 33/(297/342) + -18?
20
Evaluate 6/147 - (1/2 + 7458/(-2156)).
3
What is the value of (-5 + (-481)/(-65))*(-8 - 21/(-2))?
6
Calculate 3*(2 - 14/6).
-1
Evaluate (8/(-5) - -2)/(2/(-35)).
-7
What is 7 - ((-16324)/(-2254) + 2/(-7))?
1/23
Calculate ((-2)/(-9)*(-315)/(-140))/(127/(-3302)).
-13
Calculate ((9/(-2) - -3) + 2)*(-72)/432.
-1/12
What is the value of 1323/(-630) - ((-3)/(-5))/(-1)?
-3/2
What is the value of (280 - 259)*(34/14 + 3 + -5)?
9
Calculate 4176/4320 + 26/(-12).
-6/5
Calculate 1*4/(-20)*-80*(-22)/1056.
-1/3
Evaluate (-12*(-13)/(-117))/((-38)/(-3)).
-2/19
What is (48*5/(-25))/(10/(-25))?
24
What is 2/8*4/12*156?
13
What is (-90)/54 - 528/(-252)?
3/7
(-171 + 3)/(-12) + 272/(-18)
-10/9
14/(-8) - -5 - (-1974)/168
15
What is the value of (-7018)/(-406) + -2 + -15?
2/7
Calculate (-4 + -2 - 16) + 16 - (1 - -2).
-9
Evaluate (-64)/(-285 - 35) + -2 + 2.
1/5
(73/6 - 2)/1 + 1230 + -1240
1/6
((-8)/(-6))/(-7*(-14)/(-147))
-2
0 + 12/14 - 7230/(-15183)
4/3
Calculate 9 + ((-1573)/260 - 12/16).
11/5
Calculate (-1 + (-10)/((-40)/(-22)))/((-6)/(-12)).
-13
Calculate ((-2100)/5400)/((-4)/(-3) + -3 + 2).
-7/6
Calculate ((-54)/8)/3 - 11661/2028.
-8
(-57)/(-12) - (-112)/448
5
What is (51/(-11) - -5)/(590/55)?
2/59
(6 - 0/5) + 7136/1776 + -10
2/111
50 + -46 + (-3)/18 + -3
5/6
24 - 12350/513 - (-64)/135
2/5
Evaluate (9/(-4))/((0 + 7/112)*-4).
9
(7 - 0 - 5)/((-2)/1) + 5
4
Evaluate (-1)/6 + (835/(-1200) - (-1)/16).
-4/5
Evaluate 8/(-5) - 13/325*-15.
-1
Evaluate 1*((12 - (-2 + 3)) + -3).
8
Calculate (1/(-13))/(-7 + (-27)/((-891)/242)).
-3/13
What is (-39)/(174/(-957) + 31/(-11))?
13
Calculate 169 - 172 - ((-3)/3 + 12).
-14
What is (984/1476)/(-1 + (-44)/(-18))?
6/13
Calculate ((12/(-45))/(82/(-1353)))/((-2)/(-5)).
11
What is the value of (1/(-12))/(40/(-64)) + (-560)/(-525)?
6/5
What is (1/((-594)/45 - -13))/1?
-5
Calculate 3/4*(-20)/(-38) + (-84)/(-798).
1/2
What is (-12)/(-15) - (3/10 + 0/2)?
1/2
Calculate 3/(84/(-668)) + 23.
-6/7
Evalua | {
"pile_set_name": "DM Mathematics"
} |
5*w + 2*r, 0 = -2*w - 0*w + 2*r - x for w.
-4
Let v be (0 + -1)/(2/(-14)). Suppose 2*u - v*u + 10 = 0. Solve 2*r + 4*a + 12 = -u*r, 4*r = -a for r.
1
Let x(u) = -u**3 + 8*u**2 + u + 6. Let d be x(7). Suppose 4*f + 10 - d = 0. Solve 4*z + 0 = q - 17, -3*z = -q + f for q.
1
Suppose 0 = 3*l + 2*f - 44, -3*f = -7 - 5. Let z = l + -37. Let w be (5/(-5))/(1/z). Solve -h - 22 = -5*h - 2*g, 0 = 4*h + 5*g - w for h.
5
Let x be -2 + 3/(9/96). Suppose 0 = 2*c - c - 5*a - x, 2*c = 2*a + 20. Suppose -4*l + 4 = -8. Solve -c = -5*v + 5*g, -v - l*g + 0 = -9 for v.
3
Let s(w) = w**3 + 2*w**2 - 3*w + 2. Let l be s(-3). Suppose -12 = -l*j - j. Solve -j = -2*q - 3*f, 5*q - 10 = -3*f + 5*f for q.
2
Let c(d) = d + 11. Let b be c(8). Solve 3*j = k + b, 5*j - 37 = 2*k - 4 for j.
5
Let s(g) = g**3 - 4*g**2 + 3*g + 1. Let n be s(3). Let x be n/(-6) + 170/12. Solve 4*h - z = -0*z - x, -z + 6 = -2*h for h.
-4
Let d(j) = j**3 + 3*j**2 - j + 4. Let q be d(-3). Solve -i - 2*p - q = 0, 5*i - 5*p + 18 = -2 for i.
-5
Let y(n) be the third derivative of -n**5/60 + n**4/24 + 5*n**3/2 + 2*n**2. Let b be y(0). Solve -4*i + 5*i = 2*r + 6, 5*r = -3*i - b for i.
0
Let n = -20 - -54. Let f(r) = -r**2 + 4*r - 3. Let s be f(3). Suppose 0 = -s*a - a + n. Solve 3*i + 30 = -5*x, 9*i + 3*x + a = 4*i for i.
-5
Suppose -2*n + 5*t = -0*t - 14, 5*n = -3*t + 35. Suppose 2*a - 7*a - 20 = 0. Let x = n + a. Solve 2*k - 4 - 17 = 3*z, x*k = 9 for z.
-5
Let h(q) = 2*q**2 + q. Let j be h(-1). Suppose -5*v + v = -4. Let u be v - (j*-2 + -1). Solve u*d - 12 = 2*g + 2*g, -5*g = -10 for d.
5
Suppose 0 = 4*r + 8 - 36. Solve r*m - 2*m + 8 = -c, 6 = -4*m - c for m.
-2
Let d(s) be the third derivative of -s**4/8 - s**3/3 - 4*s**2. Let c be d(-2). Solve 3*x + 5*m = -3 - 7, -5*x - c*m = -5 for x.
5
Let q be 2*3/(-3) + 2. Suppose q = 5*l - l. Suppose -2*a = -4 - l. Solve 0 = u + 4*m + 25, 6*u - a*u - 3*m = -5 for u.
-5
Let i(h) = h**3 + 13*h**2 + 2. Let d be i(-13). Solve p + 31 = 5*s + 11, -8 = -3*p - d*s for p.
0
Let v = -68 - -68. Solve 2*i = -3*u, -2*i + v*u = 2*u for i.
0
Let z(j) = -j + 6. Let s be z(5). Let l be -1 - (0/(-2) + s). Let a = l + 6. Solve -a*f + v = -16, -4*f + 4*v + 16 = -0 for f.
4
Let j be -2*((-9)/6)/(-3). Let m = 3 + j. Suppose m*x = 5*t - 17 - 8, 5*x - 5*t = -25. Solve 0*d + 3*y = -d - 5, 3*d + 2*y + 8 = x for d.
-2
Let h(j) = j**2 + 12*j + 12. Let s be h(-8). Let a be ((-12)/10)/(6/s). Solve -a*q + 0*l - 32 = 3*l, 4*q - 5*l = 0 for q.
-5
Suppose 0*k - 9 = -5*k - 3*b, 2*b + 1 = -k. Suppose -4*a - k*d + 1 = 0, -4*a = -7*a - 3*d - 3. Suppose 0 - a = -q. Solve 2 = 5*f - q*n - 13, f - 3 = 4*n for f.
3
Suppose 4 - 16 = -3*j. Solve -3*x - j*n + 6 = -0*n, -2*x = 3*n - 4 for x.
2
Suppose -4*c - 5*y = 0, 0 = -2*c - 2*y + 7*y. Solve c*a - 15 = -2*a - 3*n, 4*n - 20 = 5*a for a.
0
Suppose 0 = -z + 6 - 3. Let i(m) = -m**2 - 4*m. Let p be i(-3). Suppose 4*s + 31 - 51 = 0. Solve 2*r + p*a = 5 + 2, 0 = -z*r + a + s for r.
2
Suppose 2*p - 10 = -2*q + p, 0 = 4*q - 2*p - 20. Solve 15 = -2*j + 5*n, 3*n = 8*n - q for j.
-5
Let t = 0 - -3. Let c(i) = -i**2 + 9*i - 10. Let v be c(7). Suppose t*g = 7*x - 2*x + 24, -18 = -2*g + v*x. Solve -2*h + 6 = -0*q - 4*q, 4*q - g*h = -9 for q.
0
Suppose 20 = 4*t + 5*n + 3, 3*t = 3*n + 6. Solve x + 1 = -t*g + 9, -10 = -4*x - g for x.
2
Let i = -43 + 75. Let d = -20 + i. Solve 0 = -3*w - 3*p - d, 2*w - p = -5*p - 14 for w.
-1
Let i be 11/3*1 - 1/(-3). Solve 4*t - 3*b + b - 8 = 0, -5*t + 13 = -i*b for t.
1
Suppose -129 = -4*g - 25. Suppose -10 = -3*n + g. Solve -4*r + n = 3*k, 3*r + 3*k = -2*k + 9 for r.
3
Suppose 6*j = j. Let d(h) = -h + 2. Let a be d(j). Solve -2*x + 2*y = -8, 4*y - 2*y + 4 = -a*x for x.
1
Suppose j - 12 = -2*j. Solve -j*a + 0 = t + 18, -t - 10 = 2*a for a.
-4
Let g be 9/(-27) + (-32)/(-6). Suppose 0*s + 5*z - 5 = -g*s, 2*z + 4 = 0. Solve -7 = -3*l - 5*j, -4*l = -s*l + 4*j for l.
4
Suppose 0 = -3*s + 4*k - 9, -s = -2*s + 5*k - 3. Let p be s/4 + 33/12. Solve 0 = -5*y - 7 - 3, p*b - 2*y + 6 = 0 for b.
-5
Suppose -2*q - 2*q = 0. Suppose u - 2*u + 20 = q. Let w be ((-2)/5)/((-4)/u). Solve 0*o + v = o + 3, 0 = w*o - 5*v + 6 for o.
-3
Suppose 12*z = 15*z - 9. Solve -r - p = 2*r + 5, 0 = -z*r + 3*p - 21 for r.
-3
Let m(d) = 5*d**2 - 1. Let p be m(-1). Suppose -4 + 12 = p*c. Solve 2*q = -10, -q + c*q + 25 = -4*k for k.
-5
Let i be 1/((-2)/((-8)/(-1))). Let n = i + 13. Let b be 3/n*3 + -1. Solve -6*g = -2*g + 8, -5*r + 3*g + 31 = b for r.
5
Let m be -2 + 5 - (5 - 5). Suppose -3*c - 6 + 3 = -m*i, 0 = -i + 4. Solve 0 = -k + 5, -2*q + c*k + 0*k - 19 = 0 for q.
-2
Let o(x) = -2*x**2 + 10*x - 6. Let r be o(4). Solve -3*i - 2*p + 3 = -7*p, -2*i + 4*p + r = 0 for i.
1
Let b(w) = -w**3 + 9*w**2 - 2*w + 10. Let k be b(9). Let f = -8 - k. Solve -3*h - t = -1, f = -2*h - 0*t - 4*t - 16 for h.
2
Suppose l = -2*l + 6. Suppose -l*r = -r - 3. Solve r*a + 2*a - 16 = u, 4*a - 17 = 5*u for u.
-1
Let b be 1*(-3 - -2)*1. Let a(g) = 4*g**2. Let c be a(b). Solve c*y = 5*h - 1, -5*h + 11 = -5*y - 2*h for y.
-4
Let d be 36/28 - 4/14. Solve -4*n = 4, -2*i + 0*i - n + d = 0 for i.
1
Let x = -45 - -48. Solve -v - 1 = 0, 0 = 2*z + 4*v + 13 - x for z.
-3
Suppose -5*i = 4*c - 33, -5*i - 14*c + 18*c + 17 = 0. Solve h + 2*g = 7*g + 6, -i*h + g = -6 for h.
1
Let r = 21 + -11. Solve 5*n - 5*q = 5, 0*n + r = n + 2*q for n.
4
Suppose -z + 0 = -4. Suppose j - 4*y - 3 - 11 = 0, -z*y - 12 = 0. Solve 0 = q - 5*c + 12, j*q = 4*q - 5*c + 9 for q.
3
Suppose 5*q = -2*c + 8, 0*c - 5*q + 50 = 5*c. Solve 7*o = -k + 3*o + 15, 2*k = 3*o - c for k.
-1
Let z(c) be the second derivative of -c**5/20 + c**4/2 + c**2/2 - c. Let t be z(6). Let w be (-11)/(1*1/(-1)). Solve -4*k + 5*b = -t - 7, 5*k = b - w for k.
-3
Let b be 17 - (-2)/(-4)*-6. Solve -4*u = -b, 0*z + 11 = z + 3*u for z.
-4
Let f(m) = 0 - m + 3 - 2 - 6. Let h be f(-8). Solve h = n + 3*j + 12, 4*j = -n - 12 for n.
0
Suppose 9*q = 15*q. Solve -5*l = -2*l + 3*n + 30, 2*l - 5*n - 15 = q for l.
-5
Let l = -7 - 0. Let h = 0 - l. Solve -1 - h = 2*v - 4*s, 4*v + 4*s - 32 = 0 for v.
4
Let q be (-4)/((-4)/1) + 3. Suppose -2*r + 12 = -4*i, -7*r + q*i + 16 = -3*r. Solve s - 5*s = r*x - 12, -3*s - 3*x + 15 = 0 for s.
1
Let x = 6 + -7. Let b = x + 1. Solve -4*d = -b*d - f - 15, 3*f = 3*d - 18 for d.
3
Let t = 27 + -13. Solve -u = 4*u - 4*k + 6, -t = 5*u + 4*k for u.
-2
Suppose -o = -n - 17, 3*o - 47 = -0*n + 2*n. Solve 2*f + 4*j - 1 = o, 0 = j - 4 for f.
-1
Suppose 0 = 3*l - 4 - 68. Solve 4*k = 5*c, 2*k + c = -2*k - l for k.
-5
Let h be (-3 + 1 + 4)/2. Let k = 1 - h. Let z(f) = -f. Let w be z(-4). Solve -3*d - 5*s + 7 = k, w*s = 5*d - 6 - 18 for d.
4
Suppose -5*s - 8*s = -143. Solve -s = 2*g + r, -3*r - 2*r - 25 = 0 for g.
-3
Let r be (-4)/7*(-21)/6. Solve -r*a + 4*m = -20, -34 = -5*a + 4*m - 8 for a.
2
Let l be (-2 - (-1 + 1))*435/(-30). Solve 5*x + 2*y = 5*y - l, -3*x - 4*y = 0 for x.
-4
Let m = 6 - 1. Suppose m*h = 0, -9 = -5*r + h + 6. Solve -2*c = -2*q - 8, 4*q + 17 = -r*c - 6 for c.
-1
Let w be -2 + -8*2 + 3. Let q = w - -5. Let b = 13 + q. Solve -7*d = t - 3*d + 20, -d = b*t + 16 for t.
-4
Let b(r) = 4*r**2 - r. Let y be b(1). Suppose 0 = 2*n + 4*a - 12, -n + y*a + 6 = -0. Suppose -f - 25 = -n*f. Solve -c = -f*w - 16, -5*c = 2*w - 5*w - 14 for w.
-3
Suppose 5*d - 91 = -3*p, 0 = 4*p + d + 4*d - 118. Solve 4*l - 5*q = 4, -2*q - 1 = 5*l + p for l.
-4
Suppose 2*b - 4*i = -1 - 3, -5*i + 5 = 0. Solve b = 2*s - 0*s + 2, -14 = 4*o - 2*s for o.
-4
Let p(n) = n**3 - 3*n**2 - 3*n + 13. Let b be p(3). Solve -b*w = -4*x + 20, -2*w = 4*x - 3 - 11 for w.
-1
Let i(c) = 4*c - 4. Suppose 2*k + 0*k - 10 = 0. Let f be i(k). Suppose -f = -4*a + o, -3*a - 2*o = -0*o - 1. Solve -3*l = v + a, 5*l - 4*l - 2*v = -1 for l.
-1
Let i be (-8)/((-4)/4) - 4. Suppose 2*m = 4*p + 4 - 28, 3*p + 2*m - 11 = 0. Solve 0*a + p*a - i*n = -4, 3*a + 2 = 2*n for a.
0
Suppose -20*r + 15*r = 0. Solve w + 13 = 3*h, 4*h + r = -w + 15 for w.
-1
Suppose 0*s = 3*s + 12, 2*s + 10 = a. Suppose p = -0*p + a. Solve -p*g + 5 = 2*g - b, -4*g = -4*b - 20 for g.
0
Suppose -2*w - 3*c = 3*w - 28, 2*w - 9 = c. Suppose 0 = -0*j - w*j - g + 15, 4*j + g = 13. Solve 5*m - 20 = m + n, 3*m - j*n = 20 for m.
4
Let j be (13 + -13)*-1*1. Solve 0 = -2*l, -3*p + 3 = -l - j for p.
1
Suppose -2*h + 3*q + 11 = -7, 4*h - 56 = q. Let j | {
"pile_set_name": "DM Mathematics"
} |
-4*i(y) + n(y). Let b(h) = 0. Calculate h.
1/2, 1, 3
Suppose z - r = 0, 14*z = 9*z - 3*r. Factor 0 + z*w + 0*w**2 - 3/5*w**3.
-3*w**3/5
Suppose -28 - u + 3*u**2 - 5*u + 31 = 0. What is u?
1
What is q in -176 + 173 - 3*q + 3*q**2 + 2*q**3 + q**3 = 0?
-1, 1
Let x(v) be the third derivative of v**5/15 - v**3/6 - 2*v**2. Let f be x(1). Factor d**3 + 0*d**2 + 2*d**2 - f*d**2.
d**2*(d - 1)
Let m(r) be the first derivative of r**5/10 - r**4/6 - r**3/3 - 3*r**2 - 3. Let h(i) be the second derivative of m(i). Factor h(v).
2*(v - 1)*(3*v + 1)
Suppose -4*u - 8 = -2*t, 4*u + 10 - 8 = -t. Factor 10/7*c**3 + 0 - 4/7*c - 6/7*c**t.
2*c*(c - 1)*(5*c + 2)/7
Determine g, given that -1/3*g**3 - 8/3 + 5*g - 2*g**2 = 0.
-8, 1
Let y = 366 - 364. Find b, given that 4/5*b + 4/5 + 1/5*b**y = 0.
-2
Let k(j) = -j + 12. Let s be k(11). Let i(h) be the first derivative of 8/5*h - 2/3*h**3 - s + 8/5*h**2. What is q in i(q) = 0?
-2/5, 2
Let m(w) be the first derivative of w**2 - 1/6*w**4 + 2*w + 1 + 0*w**3. Let k(d) be the first derivative of m(d). Factor k(x).
-2*(x - 1)*(x + 1)
Let c(o) be the second derivative of 4*o + 0 - 1/3*o**3 + 2*o**2 - 1/6*o**4. Factor c(z).
-2*(z - 1)*(z + 2)
Suppose 125/3*i - 20/3 - 20/3*i**4 + 125/3*i**3 - 70*i**2 = 0. What is i?
1/4, 1, 4
Suppose 14 = 2*g + c - 7, 57 = 5*g + 4*c. Factor 1/3*h**3 - 3*h**2 - g + 9*h.
(h - 3)**3/3
Factor 2/9*r**2 + 0*r - 8/9.
2*(r - 2)*(r + 2)/9
Let v(i) be the first derivative of -i**3 + 3*i**2 - 3*i + 10. Factor v(h).
-3*(h - 1)**2
Let v be (-18)/(-162) - (-26)/(-288). Let z(g) be the second derivative of 0 + 1/8*g**3 + 1/4*g**2 - 4*g + v*g**4. Solve z(n) = 0.
-2, -1
Let p = 0 + 0. Let i be 5 + 0 - (1 - p). Determine k so that 0 + 1/4*k**3 + 2*k**i + 0*k - 1/2*k**2 + 5/4*k**5 = 0.
-1, 0, 2/5
Factor -4/5*o - 1/5*o**2 - 4/5.
-(o + 2)**2/5
Let w(u) be the first derivative of 2*u**3/15 - 2*u**2/5 - 6*u/5 + 3. Factor w(q).
2*(q - 3)*(q + 1)/5
Factor 13*s**3 - 52 + 100*s + 0*s + 2*s**3 - 70*s**2 + 12.
5*(s - 2)**2*(3*s - 2)
Let t(w) be the first derivative of 1/9*w**3 + 1/60*w**5 - 1/12*w**4 - 1 + 0*w**2 - w. Let n(q) be the first derivative of t(q). Solve n(r) = 0 for r.
0, 1, 2
Let t(r) be the first derivative of 2*r**3 + 2*r**2 + 2*r - 4. Let s(u) = 7*u**2 + 5*u + 3. Suppose -c - 5 = -0*c. Let b(o) = c*t(o) + 4*s(o). Solve b(i) = 0.
-1, 1
Let g(v) be the third derivative of v**6/120 + 11*v**5/20 + 121*v**4/8 + 1331*v**3/6 + 67*v**2. Find k, given that g(k) = 0.
-11
Suppose -693*f**2 + 0*f**3 - f**4 - f**5 + 694*f**2 + f**3 = 0. What is f?
-1, 0, 1
Let l be 0/((1 - 0) + -3). Let r(o) be the first derivative of -7/4*o**4 + l*o + 5/3*o**3 + o**2 + 2. Factor r(j).
-j*(j - 1)*(7*j + 2)
Let k(t) be the third derivative of 2*t**2 + 1/420*t**7 + 0 + 1/240*t**6 + 0*t - 1/672*t**8 + 0*t**4 - 1/120*t**5 + 0*t**3. Factor k(v).
-v**2*(v - 1)**2*(v + 1)/2
Let h(w) be the first derivative of -w**3/7 - 9*w**2/7 + 3*w - 8. Factor h(m).
-3*(m - 1)*(m + 7)/7
Let n(c) = c - 1. Let i(j) = -j**2 + 5*j + 1. Let g(z) = -z - 1. Let h(d) = -4*g(d) - i(d). Let s(u) = h(u) + 3*n(u). What is k in s(k) = 0?
-2, 0
Let m be 18/10 + 6/30. Factor 1/4*g + 0 + 0*g**m - 1/4*g**3.
-g*(g - 1)*(g + 1)/4
Let n(f) = -f**2 + 5*f + 6. Let p be n(6). Let b(u) be the first derivative of p*u + 4/21*u**3 - 1 - 1/14*u**4 + 0*u**2. Factor b(h).
-2*h**2*(h - 2)/7
Let k(l) = -l**4 - 1. Let r(v) = 3*v**5 + 4*v**4 - 12*v**3 - 6*v**2 + 9*v - 2. Let b(f) = 2*k(f) - r(f). Solve b(a) = 0.
-3, -1, 0, 1
Let v(y) = y**3 + 4*y**2 - 8*y - 11. Let l be v(-5). Let x be l/22 + (-357)/(-154). Let 0 + 5/2*o**4 - x*o**2 + 7/2*o**5 + o - 9/2*o**3 = 0. Calculate o.
-1, 0, 2/7, 1
Let r(j) = 8*j**4 + 2*j**3 - 6*j**2 - 2*j + 4. Let x(y) = 9*y**4 + 3*y**3 - 7*y**2 - 3*y + 5. Let k(c) = 7*r(c) - 6*x(c). Find t such that k(t) = 0.
-1, 1
Let t(x) be the first derivative of 3*x**5/25 - 3*x**4/5 + x**3 - 3*x**2/5 + 6. Factor t(z).
3*z*(z - 2)*(z - 1)**2/5
Let h = -308 + 926/3. Factor 4/9*q - h + 2/9*q**2.
2*(q - 1)*(q + 3)/9
Let x(r) be the second derivative of r**5/12 - 35*r**4/36 + 25*r**3/6 - 15*r**2/2 + 18*r. Suppose x(b) = 0. What is b?
1, 3
Let a = 1537 + -63012/41. Let q = 129/287 + a. Factor q*c + 10/7*c**2 + 8/7*c**3 + 2/7*c**4 + 0.
2*c*(c + 1)**2*(c + 2)/7
Let s(d) be the first derivative of -2*d**5/5 - 7*d**4/4 - 3*d**3 - 5*d**2/2 - d - 7. Suppose s(w) = 0. Calculate w.
-1, -1/2
Factor 5*z - 8*z**2 + 15*z**2 - 12*z**2.
-5*z*(z - 1)
Find i such that 1/2*i**3 + 1/2*i**2 + 0*i + 0 = 0.
-1, 0
Let q(s) be the third derivative of -1/360*s**6 + 1/504*s**8 + 0*s + 4*s**2 - 1/630*s**7 + 0*s**3 + 0*s**5 + 0 + 0*s**4. Let q(f) = 0. Calculate f.
-1/2, 0, 1
Let l = 2/209 - -826/1045. Let a be ((-3)/2)/((-3)/8). Solve -38/5*i**2 + l - 66/5*i**3 + 2*i + 18*i**a = 0.
-1/3, 2/5, 1
Let d(a) = a**3 + 2*a**2 - 3*a - 4. Let l be d(-1). Let l*p - 2/9*p**3 - 2/9*p**2 + 0 = 0. What is p?
-1, 0
Factor 0 + 1/2*j**2 - j.
j*(j - 2)/2
Let r = -114 - -118. Let i(k) be the third derivative of 0 + k**2 + 1/28*k**r + 0*k - 2/21*k**3 - 1/210*k**5. Factor i(s).
-2*(s - 2)*(s - 1)/7
Suppose 0 = -2*c + 18 - 4. Suppose -4*u**4 + c*u**2 - 2*u**2 + 2*u**5 + u - u**2 - 3*u = 0. What is u?
-1, 0, 1
Factor 40 + 20*w + 5/2*w**2.
5*(w + 4)**2/2
Let o(i) be the second derivative of i**6/135 - 2*i**5/45 + i**4/9 - 4*i**3/27 + i**2/9 + 6*i. Factor o(u).
2*(u - 1)**4/9
Factor -15*y**3 - 9*y**4 - 11*y**3 - 4*y - 27*y**2 - 4*y**3 - 2*y.
-3*y*(y + 1)*(y + 2)*(3*y + 1)
Let l(j) be the first derivative of -3*j**4/2 - j**2 - 2. Let v(z) = 5*z**3 + z. Suppose -7 = 4*o + 9. Let k(b) = o*v(b) - 3*l(b). Factor k(m).
-2*m*(m - 1)*(m + 1)
Suppose 2 + 4 = 3*z. Let f(s) be the second derivative of -1/60*s**5 + z*s - 1/6*s**3 + 1/12*s**4 + 0 + 1/6*s**2. Factor f(a).
-(a - 1)**3/3
Let o(c) be the second derivative of c**4/12 - c**3/6 - 3*c**2/2 - 3*c. Let r be o(3). Determine d so that -9*d + 13*d + 3*d**2 - r*d**2 + 2*d**2 = 0.
-2, 0
Suppose -t = -2*t - 9*t. Let q(u) be the first derivative of -1/14*u**4 + 1/7*u**2 + 0*u**3 - 4 + t*u. Solve q(y) = 0.
-1, 0, 1
Let t = -95 + 99. Let d(b) be the first derivative of 2/5*b**5 + 0*b + 0*b**2 - 1/15*b**6 - 4/5*b**4 + 8/15*b**3 + t. Factor d(i).
-2*i**2*(i - 2)**2*(i - 1)/5
Let m(z) = z**2 + z. Suppose 3*b - 5*v + v - 1 = 0, b + v = -2. Let a(f) = 21*f**3 + 32*f**2 + 5*f - 6. Let r(q) = b*a(q) - 4*m(q). Factor r(w).
-3*(w + 1)**2*(7*w - 2)
Let o(f) be the first derivative of -f**4/34 + 16*f**3/51 - 7*f**2/17 + 13. Find n, given that o(n) = 0.
0, 1, 7
Let n = -239/10 + 24. Let c(k) be the second derivative of -1/60*k**4 + 2*k + 0 + n*k**3 - 1/5*k**2. Factor c(s).
-(s - 2)*(s - 1)/5
Suppose -2*c + 16 = 6*m - 2*m, m - 4*c + 14 = 0. Suppose 0 = 4*w + 4, m*w + 3 = -j - w. Factor 1/2*u**2 + u**3 + j*u + 1/2*u**4 + 0.
u**2*(u + 1)**2/2
Let s(u) be the second derivative of -u**7/12 - 3*u**6/20 + u**5/8 + 3*u**4/8 + u**3/6 - 14*u. Find i such that s(i) = 0.
-1, -2/7, 0, 1
Factor -25/3*s**3 - 5/3*s**4 + 20/3*s + 40/3 - 10*s**2.
-5*(s - 1)*(s + 2)**3/3
Let h = -1 + 4. Let d be ((-2)/h)/((-1)/3). Let m(w) = -w**3 + w - 1. Let x(o) = -o**3 - 15*o**2 - 26*o - 10. Let t(u) = d*m(u) + x(u). Factor t(r).
-3*(r + 1)*(r + 2)**2
Let r(u) be the third derivative of 1/30*u**5 + u**2 + 0*u + 0*u**3 - 1/12*u**4 + 0. Let r(k) = 0. What is k?
0, 1
Let j = 100/9 - 317/18. Let p = j + 9. Factor -1 - p*h + h**2 + 5/2*h**3.
(h - 1)*(h + 1)*(5*h + 2)/2
Let g(c) be the first derivative of -c**4/20 - c - 1. Let w(d) be the first derivative of g(d). Determine x, given that w(x) = 0.
0
Suppose -z + 0 + 2 = 0. Factor 0*p + 0*p + p**z + 0*p**2 - p.
p*(p - 1)
Let a(o) be the first derivative of 0*o**2 + 0*o - 4 + 2/9*o**3 - 1/2*o**4 + 7/36*o**6 - 3/10*o**5. Find r, given that a(r) = 0.
-1, 0, 2/7, 2
Let c(a) be the third derivative of 27*a**7/700 - 3*a**6/100 + a**5/150 - 17*a**2. Find j, given that c(j) = 0.
0, 2/9
Let o = -19 - -21. Let d(n) be the second derivative of 2*n + 0 + 1/24*n**3 - 1/80*n**5 + 0*n**4 + 0*n**o. Factor d(t).
-t*(t - 1)*(t + 1)/4
Determine o, given that -8/21*o**4 + 0 + 8/21*o + 32/21*o**2 - 2/21*o**3 = 0.
-2, -1/4, 0, 2
Let p(c) be the first derivative of -1 + 1/22*c**4 + 4/33*c**3 + 0*c**2 + 0*c. Find x, given that p(x) = 0.
-2, 0
Let r(x) be the second derivative of -x**5/40 + x**4/12 - x**3/12 + 7*x. Facto | {
"pile_set_name": "DM Mathematics"
} |
of 1/2, to the nearest integer?
756
What is the eighth root of 2316369525 to the nearest integer?
15
What is 446809058 to the power of 1/2, to the nearest integer?
21138
What is the sixth root of 274765812 to the nearest integer?
25
What is the seventh root of 1702840616 to the nearest integer?
21
What is 60198704 to the power of 1/3, to the nearest integer?
392
What is 12635760 to the power of 1/9, to the nearest integer?
6
What is 76469191 to the power of 1/6, to the nearest integer?
21
What is 292799696 to the power of 1/2, to the nearest integer?
17111
What is 1071897951 to the power of 1/2, to the nearest integer?
32740
What is the third root of 3602710752 to the nearest integer?
1533
What is 58061339 to the power of 1/3, to the nearest integer?
387
What is the square root of 766598068 to the nearest integer?
27688
What is 981464368 to the power of 1/7, to the nearest integer?
19
What is 33493285 to the power of 1/2, to the nearest integer?
5787
What is the third root of 1586765122 to the nearest integer?
1166
What is the cube root of 75667614 to the nearest integer?
423
What is 553184093 to the power of 1/3, to the nearest integer?
821
What is 3545223307 to the power of 1/2, to the nearest integer?
59542
What is 3894343589 to the power of 1/8, to the nearest integer?
16
What is the square root of 1210811582 to the nearest integer?
34797
What is the sixth root of 117220275 to the nearest integer?
22
What is the seventh root of 936027537 to the nearest integer?
19
What is 429971004 to the power of 1/2, to the nearest integer?
20736
What is the cube root of 35337518 to the nearest integer?
328
What is the square root of 20645955 to the nearest integer?
4544
What is the fifth root of 270922043 to the nearest integer?
49
What is 153624227 to the power of 1/3, to the nearest integer?
536
What is the square root of 407469409 to the nearest integer?
20186
What is the tenth root of 43576578 to the nearest integer?
6
What is 34752034 to the power of 1/4, to the nearest integer?
77
What is 585136962 to the power of 1/9, to the nearest integer?
9
What is the cube root of 152226587 to the nearest integer?
534
What is 199622051 to the power of 1/4, to the nearest integer?
119
What is the sixth root of 19009381 to the nearest integer?
16
What is the seventh root of 41738660 to the nearest integer?
12
What is 1607935750 to the power of 1/9, to the nearest integer?
11
What is the sixth root of 1821121062 to the nearest integer?
35
What is the fourth root of 221001705 to the nearest integer?
122
What is 6642539 to the power of 1/8, to the nearest integer?
7
What is the third root of 1447287913 to the nearest integer?
1131
What is 645815310 to the power of 1/8, to the nearest integer?
13
What is the square root of 1121030427 to the nearest integer?
33482
What is 118521851 to the power of 1/3, to the nearest integer?
491
What is 556578141 to the power of 1/3, to the nearest integer?
823
What is the fourth root of 5780975121 to the nearest integer?
276
What is the eighth root of 26166585 to the nearest integer?
8
What is the third root of 32704279 to the nearest integer?
320
What is the cube root of 5344456166 to the nearest integer?
1748
What is the ninth root of 3753990763 to the nearest integer?
12
What is the cube root of 672244041 to the nearest integer?
876
What is the square root of 336621549 to the nearest integer?
18347
What is the sixth root of 4253728695 to the nearest integer?
40
What is the sixth root of 4837472 to the nearest integer?
13
What is the fifth root of 1006678915 to the nearest integer?
63
What is the cube root of 640182664 to the nearest integer?
862
What is 88339460 to the power of 1/9, to the nearest integer?
8
What is 257384686 to the power of 1/9, to the nearest integer?
9
What is 26313233 to the power of 1/2, to the nearest integer?
5130
What is 2435419784 to the power of 1/8, to the nearest integer?
15
What is the seventh root of 41804228 to the nearest integer?
12
What is the square root of 49987580 to the nearest integer?
7070
What is 111771505 to the power of 1/2, to the nearest integer?
10572
What is 262567709 to the power of 1/2, to the nearest integer?
16204
What is the square root of 2259717 to the nearest integer?
1503
What is the fourth root of 71053008 to the nearest integer?
92
What is the square root of 1349471938 to the nearest integer?
36735
What is 1722605861 to the power of 1/10, to the nearest integer?
8
What is the square root of 23447011 to the nearest integer?
4842
What is the fifth root of 780417384 to the nearest integer?
60
What is 67643726 to the power of 1/6, to the nearest integer?
20
What is the fourth root of 1400566203 to the nearest integer?
193
What is the tenth root of 333244630 to the nearest integer?
7
What is the fifth root of 1399763 to the nearest integer?
17
What is the fourth root of 432931957 to the nearest integer?
144
What is the cube root of 145725525 to the nearest integer?
526
What is the square root of 1030461167 to the nearest integer?
32101
What is the cube root of 847749829 to the nearest integer?
946
What is the eighth root of 188883310 to the nearest integer?
11
What is 87524883 to the power of 1/3, to the nearest integer?
444
What is 285978127 to the power of 1/2, to the nearest integer?
16911
What is the square root of 69063049 to the nearest integer?
8310
What is 71361024 to the power of 1/2, to the nearest integer?
8448
What is the cube root of 5676883571 to the nearest integer?
1784
What is the eighth root of 80169216 to the nearest integer?
10
What is the third root of 256091493 to the nearest integer?
635
What is the square root of 19086582 to the nearest integer?
4369
What is the eighth root of 349254081 to the nearest integer?
12
What is 318280038 to the power of 1/7, to the nearest integer?
16
What is 36017462 to the power of 1/7, to the nearest integer?
12
What is the square root of 1895462462 to the nearest integer?
43537
What is the third root of 3520913781 to the nearest integer?
1521
What is 594305519 to the power of 1/10, to the nearest integer?
8
What is 1980434659 to the power of 1/10, to the nearest integer?
9
What is 1131251628 to the power of 1/3, to the nearest integer?
1042
What is 30490515 to the power of 1/2, to the nearest integer?
5522
What is the cube root of 51358231 to the nearest integer?
372
What is the square root of 37369771 to the nearest integer?
6113
What is the square root of 16978304 to the nearest integer?
4120
What is 1862948272 to the power of 1/3, to the nearest integer?
1230
What is the square root of 231982978 to the nearest integer?
15231
What is 107737148 to the power of 1/2, to the nearest integer?
10380
What is the cube root of 102459398 to the nearest integer?
468
What is 44410162 to the power of 1/3, to the nearest integer?
354
What is 15112765 to the power of 1/10, to the nearest integer?
5
What is 383061238 to the power of 1/7, to the nearest integer?
17
What is the square root of 670359259 to the nearest integer?
25891
What is 221916215 to the power of 1/3, to the nearest integer?
605
What is 1722200646 to the power of 1/2, to the nearest integer?
41499
What is the square root of 29261916 to the nearest integer?
5409
What is 129894217 to the power of 1/3, to the nearest integer?
506
What is the cube root of 92790489 to the nearest integer?
453
What is the square root of 5767557109 to the nearest integer?
75944
What is 6104490840 to the power of 1/8, to the nearest integer?
17
What is 130240890 to the power of 1/2, to the nearest integer?
11412
What is the square root of 107922185 to the nearest integer?
10389
What is the fourth root of 175564292 to the nearest integer?
115
What is the cube root of 240367084 to the nearest integer?
622
What is 189357411 to the power of 1/10, to the nearest integer?
7
What is the third root of 90770723 to the nearest integer?
449
What is 291684619 to the power of 1/9, to the nearest integer?
9
What is the third root of 387318384 to the nearest integer?
729
What is the square root of 354423074 to the nearest integer?
18826
What is the square root of 16888592 to the nearest integer?
4110
What is 154829255 to the power of 1/6, to the nearest integer?
23
What is the third root of 421922493 | {
"pile_set_name": "DM Mathematics"
} |
564/(-80) + 9.
-37
What is the value of (2580/(-1075))/((-132)/((-132)/(-12)))?
1/5
What is the value of 2/(-46) - (-30)/(((-5888)/392)/16)?
-32
Evaluate ((-216)/(-15300))/(81/918).
4/25
Calculate (692/(-1211))/((-12)/(-294)).
-14
Calculate (-42)/(-147)*147/60*(-12)/273.
-2/65
Evaluate (-657)/5694*(-8)/(-3).
-4/13
((-49)/(-117) - 4/36) + (-5)/40*2
3/52
What is the value of (0 + 3)/((-17)/((-391)/69)) + -60?
-59
What is (-28)/(-10)*(-28 + ((-166)/664)/(45/(-5240)))?
28/9
What is the value of 5/(5/42)*(70824/234 - 303)?
-14
What is the value of (-4732)/476 - (177/(-18) + ((-7)/42)/1)?
1/17
-1383*(-2)/63 - (2405/105 - 23)
44
What is (33003/(-1158))/(((-15)/2)/(17 + -19))?
-38/5
Evaluate 7 + (-5858)/202 - (-8)/(-2).
-26
What is the value of (15 - 0 - 1)/(246/(-85 + 2053))?
112
What is the value of ((-3010)/86)/(-96 + 46)?
7/10
Calculate -27 + ((-145)/(-4) - (-143)/(-572)).
9
(54/60)/(3684/10745)
21/8
What is (-4 - 80/70)*259/74?
-18
Evaluate 6*4 + (-987)/(117 + 24).
17
(((-1938)/15)/19 - (0 + -7))*-9
-9/5
12 + 274/8*(-18)/27 - 5/(-6)
-10
What is the value of -4*25/(927 - 27)?
-1/9
Calculate (-1210)/305 - (-5048)/(-153964).
-4
816/(-510)*-35*2/3*63/(-49)
-48
Evaluate 5230/4515 + 1448/(-1267).
2/129
Evaluate (254*(3 + 96/(-40))*-5)/(-6).
127
What is the value of -76 + (1462/68 - (-10)/(-4))?
-57
What is the value of (2/(-224)*8)/((-18)/(-576*4))?
-64/7
217/105*(-1905)/254
-31/2
Evaluate 1149056/15744 + 17260/2460 + -7.
73
What is ((-89 + 92)/((-4)/(-22)))/(7/(-14))?
-33
Evaluate 9 - ((-114)/24)/((-99)/216).
-15/11
Calculate (1 + (-2 + 0)/((-4)/(-6)))*1801917/(-138609).
26
(-54)/7 + -3*8*3157/(-10824)
-5/7
Evaluate (0 + 60)*2/3*2806/2806.
40
What is the value of 15/27 + (-56)/((-6048)/180)?
20/9
Evaluate 134/1675 - ((264/121 - 2) + 21753/(-275)).
79
8/(-432)*(6 - (-16 - -7))
-5/18
What is -96 + (10/(-12))/(880/(-26400)) - (10 - 1)?
-80
What is the value of 138/(-230)*((-5250)/(-36))/(-25)?
7/2
What is the value of ((-36)/(-60))/(1/75*-3)?
-15
What is (717/(-63) + 11)*((-328)/32 - 2)?
14/3
Evaluate (34 - 36)*(-1 + 2)/(((-28)/413)/4).
118
Calculate -55 + (-22)/(-561) + 55.
2/51
(16 + (-281520)/17600)*(6 - 1) + 1/4
3/11
Calculate (484/4356)/((-14)/(-378)).
3
Evaluate (-113)/339*18/40 - (-847)/8580.
-2/39
Calculate -52*-18*(-15 - 15786/(-1053)).
-8
Evaluate 9545/575 - (-5370)/(-325).
1/13
(5168/(-6460)*(-25)/2)/((-4)/(-18))
45
4 + (-3)/(8/(-36) + (-705)/(-135))
17/5
Calculate (1/(-2))/(((-2051)/980)/(-293)).
-70
(12/(-48))/(78/494*(-3)/36)
19
Calculate (-20)/(-46 + 14240/240).
-3/2
What is the value of 4252/(-118) - 1128/(-33276)?
-36
1494/(-50796)*(-68)/(-6)
-1/3
What is the value of (-60)/8*(14 - (-472)/(-36))?
-20/3
What is 798/84*((-45)/(-30))/((-4)/((-64)/(-6)))?
-38
Evaluate 6 - 18 - (18/(-4))/(259 + -257).
-39/4
Evaluate ((-4)/(-5))/((-30256)/(-832040)).
22
Calculate -53 - (30*30/(-144) - 1/(-4)).
-47
What is (-48)/(-31 + 83 + -58)?
8
Calculate 109 + 176055/(-1573) - (0 - 3) - 1513/65.
-116/5
(-165)/(13530/(-7462)) - (-3 + -2)
96
What is (21 - (-34012)/(-1617))/(94/(-156) - 21/91)?
2/49
Calculate (-8596)/308 - (23 - 51) - (-4)/22.
3/11
Evaluate (3/(-1) - 16/35) + 1155/(-825).
-34/7
((-53)/((-1696)/(-112)) + 49/(-6))*6/5
-14
What is the value of (-18)/(-42) - (-4)/14*(-2466)/1602?
-1/89
Calculate (-7)/98*-21*499/(-71856).
-1/96
Evaluate (1410/40)/((-3021)/4028).
-47
What is (-2394)/180 + -12 - (2 + (-92)/40)?
-25
Evaluate 128956/1299448 + 34/(-323).
-1/166
Calculate (-7553)/(-6474)*12/(-1).
-14
What is -8 - (156/4524 + (-2382)/116)?
25/2
Calculate (-810)/855*33/297.
-2/19
What is -8 - 4*1449/(-84)?
61
What is (82/26 - (-22)/(-143)) + (2424/70)/(-12)?
4/35
What is (18 + 3)*(59 + (-14292)/252)?
48
Calculate 1/21 + 18288250/201075.
91
Calculate 4*(4/6)/((-374)/306*-18).
4/33
(-4*60/(-144))/((-791)/399 + 2)
95
What is 21/27 + (4830/(-819) - -6 - (-45)/195)?
10/9
What is (641775/(-1150))/43 - 26/(-2)?
1/46
Evaluate ((-38)/(-3591)*21 - (-2552)/(-468)) + 5.
-3/13
Calculate 1/(-3*(-2)/(-36)) + 0 + 3 + -35.
-38
What is the value of -39*13*3774/(-18759)?
102
Evaluate -8 + (2/(-3) - ((-84)/189 - 1750/18)).
89
Evaluate ((-3)/(-1))/(-1)*1 - 128077/(-43097).
-2/71
What is ((-39)/(-4))/((-53833)/(-480356))?
87
((-209)/63 - -3) + (-4)/(-42) + 490/7875
-4/25
Evaluate ((-40)/(-39))/5*2079/(-1386).
-4/13
Evaluate 11802/(-4215)*(-10)/(-32).
-7/8
Calculate (-10)/75*(-5130)/798 - (153/(-56))/(-3).
-3/56
What is the value of ((-24)/(-104))/((-1917)/2769)?
-1/3
What is the value of (-79 - -210)/393*-13*3?
-13
20223/(-4494)*(-2 - (-28)/18)
2
What is the value of (-144 - -156)/((-27)/(-18) + 10/(-12))?
18
10/3 + (-79851)/774 + 2/(-12) - -14
-86
Calculate 8 - ((-42)/7 + 18)/(-6*(-5)/20).
0
(84/24)/(((-304)/57 + (3 - 0))/(-2))
3
Calculate 127/((-89154)/216) - 4608/(-104).
44
Calculate 4588/370 - (-3 - -1 - -13).
7/5
(-2 - (2 + -2))/(2/(-61) - (-871740)/15402744)
-84
Calculate 21/12 + 357/(-204) + (-8)/(-48).
1/6
Calculate 19 - ((-10)/6 + 2/(-6) - 5).
26
(-26467)/(-323) - 376/(-6392)
82
Calculate 45/((-1170450)/7463) - (-28)/16*(-30)/(-175).
2/153
Calculate 2427084/47443 - (-9)/(-57).
51
Evaluate (44/8)/(-11)*-10 + 632/(-128).
1/16
Calculate 687/2977 - 122*17/(-26).
80
(89/((-423640)/765))/((-14)/(-8) - 1 - 0)
-3/14
Calculate (34/36)/(-47 - -44 - (132/18 + -10)).
-17/6
Evaluate ((-4)/7)/((-45)/35*6240/3510).
1/4
Evaluate ((-70)/6)/(20*44/(-1584)).
21
Evaluate (2/(-5) - -1)/((-41331)/(-6819615)).
99
What is the value of 18 - -4*(646/(-152) - 2)?
-7
Evaluate ((-1)/4)/(31 + (-1333)/62).
-1/38
What is 2030/56 - 2142/504?
32
Evaluate (-69)/24610*10*4/6.
-2/107
What is ((1200095/6475)/(-499))/(26/(-4))?
2/35
What is ((-594)/(-288) + -2)*8/(-12)?
-1/24
(60/(-2430) - 504/(-729)) + 4/(12/(-239))
-79
Evaluate (-126)/44 + 1 - (-21 + 6799/325)*25.
3/22
What is the value of (10 - (-3577)/(-357))/((-269)/(-538))?
-2/51
70/8 + -25 + (-828)/(-46)
7/4
Evaluate -3*(-724)/120 - 54/360*(0 + 4).
35/2
Calculate -9 - (936/16)/13*-2 - (-14 - -106).
-92
What is 768/64*((-3)/(-4))/(93/(-434))?
-42
Calculate -3*(4688/168 + -28).
2/7
What is the value of 7683/393015 + (294/(-266) - -1)?
-3/35
What is (-7 + 14 - -13)*(-348)/6090?
-8/7
Calculate (4/30)/(-84 - (-3707)/44).
8/15
Evaluate 89 + (-166784)/1664 - (-10 - 3/3).
-3/13
231/(-84) + ((-1425)/(-60))/(-19)
-4
What is the value of (3276/(-4641))/(1 - (-6 + 10))?
4/17
Calculate 5/(-3)*4/10*(-11172)/(-114 - -212).
76
Calculate 2/(-4) + ((-87066)/(-300))/7 + 40/1000.
41
What is the value of (-344)/(-8) - (6 + -13 + 15)*2/2?
35
What is the value of (((-35)/3500)/((-4)/(-30)))/(((-216)/(-16))/(-9))?
1/20
((-1655)/993)/((130/(-126))/13)
21
((-1)/3)/(90/(-834300)*-103)
-30
Evaluate (-32 - -22 - -26)/(75/(-450)).
-96
What is the value of (-2)/6*-63*736/(-6762)?
-16/7
What is 213/6 + (-143460735)/4041994?
2/269
What is (52/(-24) - -2) + ((-495)/81 + 6)*111?
-25/2
Calculate (1704*(-173)/24912)/((-1)/(-6)).
-71
What is the value of 25460/540 - (40 - -7)?
4/27
Calculate (-5144)/32150*5/2.
-2/5
What is the value of 19 + (-28 - (-43 + 8))?
26
-11 - ((-63)/(-28))/(((-175)/(-9310))/(20/42))
-68
What is (96900/557175)/(8/6)?
3/23
What is the value of (-2*(6 - 1) + 423/42)/((-2)/6)?
-3/14
What is (((-368550)/108)/65)/(40/(-48))?
63
Evaluate (-1128652)/(-36330) - (-1)/(-15).
31
Evaluate (-12)/550*139675/(-11174).
3/11
111*3/(-39) + 19/2 + (-21)/42
6/13
Calculate 1540/(-455840)*((-2 - -3) + 22/(-6)).
1/111
(4 + -6)*1 - ((-4392)/400 + 9)
-1/50
Evaluate 98/28*22/(-77)*(-34)/(-2).
-17
What is the value of ((-4)/279)/(21*120/1890)?
-1/93
What is 0 + (1888/708 - 23/3) + -2?
-7
Calculate -148*108/(-378) + (-9)/7.
41
What is 33*(84/12 + -6) + -29?
4
What is 139 + (3128/68 - 120)?
65
What is (-2 + -2 - (-224)/70)/((-294)/(-20) + -15)?
8/3
What is the value of ((-24)/18)/(33173/(-735) + 47)?
-5/7
What is (-33)/((-3927)/70)*9/30?
3/17
Evaluate ((21/(-252))/(1/12))/((-6)/24)*1.
4
Evaluate (-3718)/(-6864)*-56 - 1*-26.
-13/3
Calculate ((-4680)/196)/3 - (2 - (-1 - -11)).
2/49
What is the value of (-27 - (-6012)/216) + ((-95)/90 - 8/(-36))?
0
(-339)/(-565) + 3/((-420)/304)
-11/7
Calculate (4/7 - 0)*(-36953)/116138.
-2/11
Calculate -63*(-33)/77*5*(-12)/(-990).
18/11
What is the value of (9/(-10))/(14634/390240)?
-24
Calculate ((-2)/(-4)*(-6)/18)/(8/(-24)*15).
1/30
-19 - (5 + (369706/( | {
"pile_set_name": "DM Mathematics"
} |
ve.
m**(-32/15)
Simplify v/(v*((v/((v/((v**(-1/6)*v)/v))/v))/v*v)/v)*v**1*(v/((v*v*((v/v**(-1/3))/v)/v)/v*v))/(v**(-11)*v*v*v*v*v) assuming v is positive.
v**(41/6)
Simplify i/(i*((i**(-2/51)*i)/i)/i)*((i/(i*i**(-35)))/i)/i*(i**(2/11))**(-5/8) assuming i is positive.
i**(76129/2244)
Simplify ((o*o/(o**(2/61)/o))**31)**8 assuming o is positive.
o**(44888/61)
Simplify (x/(x/(x/(x*x/x**(2/23)*x*x)))*x*x*x*x**(6/5))/(x**(-2))**16 assuming x is positive.
x**(3828/115)
Simplify ((t**(2/3))**(-3/5)*(t**(2/5))**(2/7))**(-2/119) assuming t is positive.
t**(4/833)
Simplify (k**(2/5))**(-30)*k/k**(-3/2)*k/k**(2/11) assuming k is positive.
k**(-191/22)
Simplify (k**(-21)*k)**(6/13)*k/(k**(-8/3)/k)*k*k/k**(-5) assuming k is positive.
k**(95/39)
Simplify (h*h**(-4/5)*h*h)**(-4)*(h/h**(1/28)*h)/h**(-2/3) assuming h is positive.
h**(-2591/420)
Simplify ((u**(-1/18)*u)/u*u*u*((u/(u*u/u**(14/5)))/u*u)/u)/(u**(-9/8)/(u*u**(2/37)*u)) assuming u is positive.
u**(78901/13320)
Simplify ((v*v**25*v)/(v*(v*v**(-3))/v))/(v**(-16)/(v*v/(v/v**(-24)))) assuming v is positive.
v**22
Simplify (z**(1/3))**(-2/5)*(z**1/z*z)**(7/4) assuming z is positive.
z**(97/60)
Simplify ((p/p**(-2/15))**37/(p**12/(p*p/(p**3*p*p))))**(5/8) assuming p is positive.
p**(101/6)
Simplify ((((l**3*l)/l)/l)/(l*l/(((l/(l*l*l**(4/11)))/l)/l)))**(-25) assuming l is positive.
l**(925/11)
Simplify (r**(-1/5)*r*r*r)/r*r*r*r**(1/3)*(r**(-1/6))**(6/11) assuming r is positive.
r**(667/165)
Simplify (j**(-5)*j*j*j*j*j*(j/(((j/(j/j**(8/5)))/j*j)/j))/j*j*j)/(j**(-10))**(-19) assuming j is positive.
j**(-943/5)
Simplify (((b**1*b)**(-4))**(-2/11))**(-35) assuming b is positive.
b**(-560/11)
Simplify t**(3/2)*t**8*t**(1/4)/(t/(t*t/(t/t**(-24)))) assuming t is positive.
t**(-57/4)
Simplify ((n**28*n)/((((n/n**8)/n)/n)/n*n))**(-27) assuming n is positive.
n**(-1026)
Simplify ((g*g/(g*g**25/g))/((((g/g**(-29))/g)/g)/g))/((g*g*g**(-38)*g*g)/((g**(-2/23)/g)/g)) assuming g is positive.
g**(-416/23)
Simplify (((k/(k/k**(-1/2))*k)/k)/k)**10*(((k/k**(4/3))/k*k)/k)/((k**(-8)/k)/k) assuming k is positive.
k**(-19/3)
Simplify (l**20)**(8/11)/(l**(-2/5)/l**(-7)) assuming l is positive.
l**(437/55)
Simplify (f**(-8)/f)**(-3/4)/(f/f**(6/11)*f*f**(-2/59)/f) assuming f is positive.
f**(16431/2596)
Simplify ((l**(-1)*l)**26/(l*l**6/l*l*l*l**(2/5)))**(22/7) assuming l is positive.
l**(-132/5)
Simplify (a**(-19)*a*a**5/a*a*a)/(a/a**(-4/7)*a*a)**(-17) assuming a is positive.
a**(341/7)
Simplify q**8/(q/q**(-3))*(q*q*q**(-1)*q)**(-34) assuming q is positive.
q**(-64)
Simplify ((m/m**(-5))/(m*m**(-1/9)*m))/(m**5*m*m*m**(-5)*m) assuming m is positive.
m**(10/9)
Simplify (i**(-8)*i)**(-34)/(i**20)**50 assuming i is positive.
i**(-762)
Simplify j**(-8)/j*j/j**(-12)*j/(j*j**(-11))*(j*j**(-1/8))/j assuming j is positive.
j**(119/8)
Simplify ((q*q**(-23/3)/q)/q**(-1/2))/(q**(-4/13))**(1/7) assuming q is positive.
q**(-3889/546)
Simplify (l/(l**(14/3)/l)*l)/(l**(6/13)/l)*(l**(-6)/l)**(-2/11) assuming l is positive.
l**(62/429)
Simplify (r*r/(r/r**(-12)*r)*r)**(1/46)*r**(-5/7)*r**(-1/14) assuming r is positive.
r**(-165/161)
Simplify (((p*p*p*p**2/p*p)/(p*(p**(1/2)*p)/p*p))/(p**(2/17)/(p**(-1)/p)))**(1/4) assuming p is positive.
p**(13/136)
Simplify (m**(-1))**(-35/2)/(m**(-2/5)*(m*(m*m*m**(-6))/m)/m*m) assuming m is positive.
m**(219/10)
Simplify (i/i**0)**(-31/2)/((i**(1/24)/i)/i**(-1/2)) assuming i is positive.
i**(-361/24)
Simplify ((m/(m/(m*m*m/m**33)))**(-13))**(27/2) assuming m is positive.
m**5265
Simplify ((k*(k**4/k)/k)/k)/(k**(1/7)/k)*k**(2/11)/k**(-3) assuming k is positive.
k**(465/77)
Simplify i**(5/8)*i**(7/4)*(i**(-3)/i*i)/i*i**7 assuming i is positive.
i**(43/8)
Simplify (v/((v*v**(-3/7))/v*v*v)*v*v**(3/10)*v*v/((v*v**8/v*v)/v)*v*v*(v**(2/17)*v)/v*v)**6 assuming v is positive.
v**(-7689/595)
Simplify (o**(6/5)/((o/(o**(13/3)/o))/o*o))/((o*o/o**31)/(o*o**(-11/4)*o*o)) assuming o is positive.
o**(1967/60)
Simplify (r**(-1/6))**(-22)/((r**(-1/4)/r)/r**(-24)) assuming r is positive.
r**(-229/12)
Simplify (g/(g/(g**(-6/7)/g)))/(g*g/((g*g/(g*g*g/(g**(-3/7)/g))*g*g)/g)*g)*g/(g/(g*g/(g/g**(-7/4)))*g)*g**(-4) assuming g is positive.
g**(-337/28)
Simplify (i*i**(-11)*i)**(-49)/(i**(-1/5)/i*i)**13 assuming i is positive.
i**(2218/5)
Simplify (t*t*(t*t**(2/31))/t*t)/(t/(t**(-1/3)/t)*t*t)*(t**5/t)/t*t**9 assuming t is positive.
t**(998/93)
Simplify (i**4*i**(-1/10))/(i**(-5)*(i/(i**5*i))/i) assuming i is positive.
i**(149/10)
Simplify ((v**(2/9)/v)/v**(3/2))/(v**(-1/18)*v*v/v**(2/27)) assuming v is positive.
v**(-112/27)
Simplify (r**(-9/8)*r*r**(2/19)*r)/(r**(-2/5))**(-2/11) assuming r is positive.
r**(7587/8360)
Simplify (((i**(2/3)/i)/(i**5/i))**(-41))**(8/9) assuming i is positive.
i**(4264/27)
Simplify (o*o*(o*o*o**(-2/13))/o*o*(o**(-2/11)/o)/o*o)/((o/(o*o/o**(1/7)*o))/((o/(o/(o/(o/(o*o**4)))))/o)) assuming o is positive.
o**(8530/1001)
Simplify (w**(-1/42)/(w**15*w))**(3/8) assuming w is positive.
w**(-673/112)
Simplify (((y*y**(2/5)*y)/(y*y**(-2/15)))**(-20))**35 assuming y is positive.
y**(-3220/3)
Simplify d**37*d**(-32)*d/(d**24*d)*d*(d*d*d**(6/5)/d)/d assuming d is positive.
d**(-84/5)
Simplify (y**(2/79))**(26/9)/((y*y**(1/7))/y)**43 assuming y is positive.
y**(-30209/4977)
Simplify (g*g*g/(g/(g**(2/3)*g))*g)/(g*g**(1/10)*g*g)*((g/g**(2/19))/g*g)/(g**(-6)*g*g) assuming g is positive.
g**(3683/570)
Simplify (q/q**(2/17)*q*q*q)**(-2/25)/((q/q**(-2/37))/q*q*q**(-10)) assuming q is positive.
q**(135791/15725)
Simplify (((x**(2/15)/x)/x*x*x**3/x)**(2/15))**29 assuming x is positive.
x**(986/225)
Simplify (w**(4/5)*w*w*(w/(w*w**(-4/5)*w))/w)/(w**(-3/20)/(w/(w**(6/5)/w*w))) assuming w is positive.
w**(31/20)
Simplify ((f*f*f*f**(-1/2)*f*f)/f**(-2/5)*(f**(2/3))**(-4/7))**(2/49) assuming f is positive.
f**(949/5145)
Simplify (w**(1/3))**(-22)*(w**(-2/5))**(-2/169) assuming w is positive.
w**(-18578/2535)
Simplify (m**(-4/3))**(10/13)/(m**(-6/5)*m*m**(-15)) assuming m is positive.
m**(2764/195)
Simplify ((i/(i**(2/19)/i*i))/i**(-5)*(i/((i**(4/7)*i)/i)*i)/((i/i**4)/i))**(3/10) assuming i is positive.
i**(2259/665)
Simplify j/j**5*j**29*(j**(3/8)*j*j)/j**37 assuming j is positive.
j**(-77/8)
Simplify p**(2/17)*p**(1/6)*p*(p**(-6/11)*p*p)/(p/((p**(-15)/p)/p)) assuming p is positive.
p**(-17123/1122)
Simplify ((z**1/z)**49*(z/(z*(z/z**3)/z))/z**(-5))**(-29) assuming z is positive.
z**(-232)
Simplify (b/(b/b**(-2/7))*b**25)/(b*b**(-1/14)*(b/(b/(b/((b*b**(-2/25))/b))))/b) assuming b is positive.
b**(8297/350)
Simplify ((r**(3/22)*r)/(r*r/(r/r**(-9)*r*r)))**(-9/7) assuming r is positive.
r**(-315/22)
Simplify ((m**(-5/2)*m**(-1/2))**(-4/21))**(13/2) assuming m is positive.
m**(26/7)
Simplify (o/o**(1/6)*o**(-2/9))/(o**(2/21)/(o/(o*((o/(o**11*o))/o)/o))) assuming o is positive.
o**(1703/126)
Simplify (a*a*(a/((a*a/(a**(-6/7)*a))/a*a))/a)**(3/13)*a**(2/31)*a**(1/17) assuming a is positive.
a**(7496/47957)
Simplify (i*i**(-1)*i**(-2)*(i**(3/2)/i)/(i/i**(-3/4)))**(-3/11) assuming i is positive.
i**(39/44)
Simplify (j**(18/5)/(j**(-26)/j))/((j*j/(j/j**(-2/21)))/(((j*j**(-6/13))/j)/j)) assuming j is positive.
j**(38539/1365)
Simplify ((d/d**(-16))/d)**(-12)/(d*d**(-6)*d*d)**(-6/17) assuming d is positive.
d**(-3282/17)
Simplify (j**(-2/11))**(29/5)*j*j**2*j*j**(5/4) assuming j is positive.
j**(923/220)
Simplify (v**(-9/7)/v*v*v**(14/9)/v)**22 assuming v is positive.
v**(-1012/63)
Simplify (l**(-2/7)*l**(13/4))/(l**(3/11))**25 assuming l is positive.
l**(-1187/308)
Simplify g/g**(-2/7)*(g/(g**(-14)/g))/g*g*(((g*g/(g**(18/5)/g))/g)/g)/g**(2/13) assuming g is positive.
g**(6612/455)
Simplify (j**0)**(37/4)*((j**(-2)*j)/j)/((j**(-1)*j)/j) assuming j is positive.
1/j
Simplify (w**0*w**(2/27)*(w*w**(-2))**34)**16 assuming w is positive.
w**(-14656/27)
Simplify (n*(((n*n**(1/2))/n)/n*n)/n)**(16/3)*(n/(n/(n/(n/(n/((n/n**(-1/9))/n))))*n))/n**2 assuming n is positive.
n**(5/9)
Simplify (o*o**(9/5)/o*(o/o**(1/3)*o)/o)/(o**(-1/10)/o**(1/6)) assuming o is positive.
o**(41/15)
Simplify (k**(-20)*k**(-4/5))/(k**8)**(19/2) assuming k is positive.
k**(-484/5)
Simplify (h**(-2))**18/((h**(8/3)*h*h)/h*h**(1/9)) assuming h is positive.
h**(-358/9)
Simplify ((h*h*h**19*h)/h)/(h**21*h)*h**(-1/6)/(h*(h/(h*h/(h/(h**(-14/9)*h)*h)))/h) assuming h is positive.
h**(-49/ | {
"pile_set_name": "DM Mathematics"
} |
= -6*c. Let t be (c/10)/((-3)/(-15)). What is the second derivative of k**2 + 2 + 11*k - t*k**2 - 2 wrt k?
-44
Let w(k) be the second derivative of -37*k**4/12 - 85*k**3/3 + 5*k - 18. Find the second derivative of w(u) wrt u.
-74
Let l be 21/(270/(-55) - -5). What is the derivative of l - 127 - 130 + 60*p wrt p?
60
What is the second derivative of -2*r**4 - 4288 - 4297 + 1718*r**3 + 451*r + 8588 wrt r?
-24*r**2 + 10308*r
What is the third derivative of -281*x**2 + 138*x**6 - 4*x**4 + 295*x**2 + 49 - 130 wrt x?
16560*x**3 - 96*x
Let i be (1 + -5 - -9) + -1 + 1. Suppose -i*v - 15 = -10*v. What is the third derivative of 4*o**2 - 73 + 4*o**v + 22*o**2 + 73 wrt o?
24
Let i(t) = 3*t - 11. Suppose r + 19 - 13 = 0. Let w(m) = 5*m - 10. Suppose 2*j - 12 + 2 = 0. Let b(u) = j*i(u) + r*w(u). Differentiate b(n) with respect to n.
-15
Let d(j) = -29316*j - 9407. Let b(w) = 7363*w + 2352. Let u(z) = -11*b(z) - 3*d(z). What is the derivative of u(c) wrt c?
6955
Let q(m) be the second derivative of 2147*m**3/6 - 4750*m**2 + 10*m - 442. Differentiate q(a) wrt a.
2147
Let u(o) be the second derivative of 0 + 11/6*o**3 - 11/60*o**5 - 13/2*o**2 + 13*o + 0*o**4. Let c(k) be the first derivative of u(k). Differentiate c(a) wrt a.
-22*a
Let g(z) be the first derivative of -687*z**6 - 4202*z**2 - 7422. What is the second derivative of g(q) wrt q?
-82440*q**3
Suppose -5*k + 103 = -r - 3*k, -3*r = 5*k + 265. Let j = r + 98. Find the third derivative of 18*m**2 - 10*m**3 + 15*m**3 - 10*m**j wrt m.
-30
Differentiate 17727*c - 5874*c - 13545 - 3282*c with respect to c.
8571
Suppose 61 + 0 = f. What is the second derivative of -16 - 11 + 43 - 15 + f*m**2 + 32*m wrt m?
122
Let d = 2 + 3. Suppose -3*y = -0*y + d*s - 20, -5*y = 5*s - 30. What is the third derivative of 7 - 7 + 19*r**3 - 10*r**2 - y*r**3 wrt r?
84
Let i = 755 + -719. Find the second derivative of 36*t**2 - 80*t**5 + 1 + t**3 - i*t**2 + 146*t - 64*t**5 wrt t.
-2880*t**3 + 6*t
Let s = 7612 - 7612. Let d(n) be the third derivative of -3/4*n**4 + 53*n**2 + 22/3*n**3 + 0*n + s. Find the first derivative of d(x) wrt x.
-18
Let k(j) = -153*j - 761. Let g be k(-5). Let q(n) be the third derivative of 0*n + 0 - 1/2*n**g + n**3 - 5*n**2. What is the derivative of q(w) wrt w?
-12
Let n = -80 - -92. Suppose n = -4*b + 28. What is the third derivative of -100 + 100 - 11*m**4 + b*m**4 - 14*m**2 wrt m?
-168*m
Let c(a) = 655*a**2 + a + 25. Let n(g) = -1311*g**2 - 3*g - 50. Let o(r) = -7*c(r) - 4*n(r). Find the second derivative of o(w) wrt w.
1318
Find the second derivative of 79*o - 390 + 2153 + 72*o - 2193*o**4 - 150*o wrt o.
-26316*o**2
Let w(p) be the first derivative of 2*p**5/5 + 559*p**3/3 - 1046*p - 320. What is the first derivative of w(r) wrt r?
8*r**3 + 1118*r
Let l(g) be the third derivative of g**7/210 + 719*g**5/12 - 1565*g**4/6 + 6384*g**2. Find the second derivative of l(y) wrt y.
12*y**2 + 7190
Differentiate 273371 + 1520*o + 133*o - 273580 with respect to o.
1653
Let n = -42 - -68. Let m = 255 - 253. Find the third derivative of -m*v**3 - n*v**2 - 10*v**3 - 17*v**3 wrt v.
-174
Let r(d) = -d**3 - 32*d**2 - 6*d + 2743. Let x(j) = -j**3 - j**2 - 3*j. Let c(s) = r(s) - 2*x(s). What is the derivative of c(k) wrt k?
3*k**2 - 60*k
Let r = 199 + -191. Find the second derivative of 68*p**5 - 7*p + 55*p**5 - r*p + 16 + 11*p wrt p.
2460*p**3
Let y(j) = 27*j + 275. Let l be y(-8). Find the third derivative of 344*k**4 - 94*k**4 + l*k + k**2 + 41*k**4 wrt k.
6984*k
Suppose -5*j + 2*j + 90 = 3*h, -j - 4*h + 27 = 0. Differentiate -107 + j + 92*l - 10*l with respect to l.
82
Find the third derivative of -4*j**4 + 1533*j**2 + 1 + 0 + 6620*j + 1650*j**5 - 6620*j wrt j.
99000*j**2 - 96*j
Let f(l) be the third derivative of 22*l**5/5 + l**4/8 + 325*l**3 + 33*l**2 + 16*l + 2. Find the first derivative of f(j) wrt j.
528*j + 3
Let j(f) be the first derivative of -3*f**4/4 - 37*f**3/3 + 19*f**2/2 + 9865*f - 2870. Find the first derivative of j(g) wrt g.
-9*g**2 - 74*g + 19
Let z(j) be the third derivative of -1/40*j**5 - j**2 - 19/6*j**3 + 5/12*j**4 + 0 + 0*j. Let r(l) be the first derivative of z(l). Differentiate r(f) wrt f.
-3
Suppose 0 = 7*z + 4*z - 33. Find the third derivative of 20*g + 23*g**z - 85*g**2 - 20*g - 21*g**3 - 5*g**4 wrt g.
-120*g + 12
Let w = 60 - 57. Differentiate 39*y**3 + 101*y**4 + 55*y**w - 103*y**4 + 129 wrt y.
-8*y**3 + 282*y**2
What is the second derivative of -6604 - 328*j + 396*j**4 + 6604 wrt j?
4752*j**2
Let m = -637 + 639. Find the third derivative of -9*w**2 - 6*w**2 + 25*w**m - 8*w**2 + 8*w - 3*w**3 - 8*w**2 - 12*w**4 wrt w.
-288*w - 18
Let w(m) = -59*m**2 + m. Let f be w(-1). Let r = -59 - f. Find the first derivative of -2 - r - 6*p**4 + 0*p**4 - 7 wrt p.
-24*p**3
Let v(k) = k**3 - 22*k**2 + 85*k + 3. Let b be v(17). Find the second derivative of 1387*h**2 - 2*h - 1479*h**2 - b*h + 4*h wrt h.
-184
Let f(o) = -4*o**2 - 17*o - 1419. Let c(n) = -5*n**2 - 16*n - 1425. Let p(a) = -5*c(a) + 6*f(a). Differentiate p(j) with respect to j.
2*j - 22
Let s(r) be the third derivative of r**8/28 + r**5/30 + r**4/12 + 851*r**2 - 2*r. Find the third derivative of s(o) wrt o.
720*o**2
Suppose q = w - 6*w + 20, -3*w = 4*q - 12. Suppose q = -4*o + o. What is the second derivative of -7*s**3 - s**3 - 20*s - 7*s + o*s wrt s?
-48*s
Let n(u) be the second derivative of -u**7/7 - 805*u**3/6 + 70*u. Find the second derivative of n(d) wrt d.
-120*d**3
Suppose 4*s = 4*b - 4, 5*b = 3*s - 4*s + 11. Find the first derivative of -9*n**2 - 22*n**b - 31*n**2 + 94 - 8 + 136 wrt n.
-124*n
Let l be (-3)/(-15) - (-2044)/730. Let h(n) be the first derivative of 12*n + 17 - 20/3*n**l + 0*n**2. Differentiate h(d) with respect to d.
-40*d
Differentiate 2374*s - 959*s - 751*s - 2*s**2 + 2328*s + 7507 wrt s.
-4*s + 2992
Differentiate -1913 + 26727*x - 1378*x**3 - 13366*x - 13361*x with respect to x.
-4134*x**2
Let n(u) be the third derivative of 0 + 0*u**3 + 0*u - 1/30*u**5 - 92*u**2 + 0*u**4 - 27/40*u**6. Find the third derivative of n(k) wrt k.
-486
Let k = -9 + 5. Let x be 9 + 4/k*-1. What is the third derivative of 15*g**2 - x*g - 9*g**6 - 2*g**2 + 10*g wrt g?
-1080*g**3
Let d(o) = -o + 14. Let p be d(7). Suppose 10*x - 18*x + 16 = 0. Find the third derivative of 15*j**x + 5*j**5 + 2*j**6 - p*j**2 - 5*j**5 wrt j.
240*j**3
Let p be (1/(-2))/(26/(-208)). Suppose -4*o + 4*v = -9*o + 39, -3*o + p*v + 17 = 0. Find the second derivative of -21*b - 56*b**3 + 17*b**3 + o*b**3 wrt b.
-192*b
Suppose 0 = -19*i + 16*i + 81. Find the second derivative of -y**2 + 2*y - 17*y**5 + 9*y**5 + 0*y - i*y**5 wrt y.
-700*y**3 - 2
Let n(o) be the second derivative of 61/2*o**2 + 0 + 147*o - 1/6*o**3 + 1/12*o**4. What is the second derivative of n(j) wrt j?
2
Suppose -2*q + 35 = 5*q. Suppose -q*a + 338 = 4*m, 3*a = -0*m + m - 76. What is the third derivative of 82 - 11*p**6 + 8*p**2 - m wrt p?
-1320*p**3
Suppose 5*b - 15 = -2*u - 1, -5*b = -5*u. What is the third derivative of 4*q**4 - 10*q**4 + 6*q**3 - 67*q**2 - 49*q**2 - 44*q**b wrt q?
-144*q + 36
Let b(z) = 3*z**2 + 23*z - 6. Let x be b(-8). Find the third derivative of -10*j**x - 25*j**3 + 24*j**3 - 46*j**2 - 12*j**2 wrt j.
-6
Let v(u) be the third derivative of -2583*u**6/40 - 791*u**4/2 + 2392*u**2. What is the second derivative of v(x) wrt x?
-46494*x
Let n(d) be the second derivative of -d**4/12 - 361*d**3/3 + 678*d**2 - 4354*d. Find the first derivative of n(r) wrt r.
-2*r - 722
Differentiate -1826*t**3 + 333*t**3 - 134*t**3 + 340 with respect to t.
-4881*t**2
What is the third derivative of r**2 - 47908006 + 2*r**3 - 4*r - r + 47908393 + 15*r**5 + 97*r**4 wrt r?
900*r**2 + 2328*r + 12
Let v(p) = 4*p**2 - 4*p - 4. Let h be v(-2). Suppose -7*w + 2*w + h = 0. Find the third derivative of f**2 + 6*f**3 + 2*f**2 + 18*f**3 - w*f**2 wrt f.
144
Let j = -110 + 184. Let k = -71 + j. What is the third derivative of 21*p**3 + k*p**3 + p**2 + p**2 wrt p?
144
Let s(b) = -b**2 + 2*b - 2. Let o(h) = -h**4 - 3302*h**3 - h**2 + 4*h - 2551. Let r(v) = -o(v) + 2*s(v). Find the third derivative of r(i) wrt i.
24*i + 19812
Let j(m) = -155*m**2 + 86. Let h(b) = -15*b + 96. Let w be h(6). Let f(y) = -51*y**2 + 29. Let u(v) = w*j(v) - 17*f(v). What is the derivative of u(k) wrt k?
-126*k
Suppose -10 = -2*q, 0 = 5*l | {
"pile_set_name": "DM Mathematics"
} |
olve -63*s + 2*s = -549 for s.
9
Solve 4*j = -48 + 40 for j.
-2
Solve -195 = 8*l + 31*l for l.
-5
Solve -4*l = 1 + 15 for l.
-4
Solve 5*p = -69 + 59 for p.
-2
Solve -3*r + 92 = 101 for r.
-3
Solve 62*m = 57*m - 20 for m.
-4
Solve -7*q + 30 + 5 = 0 for q.
5
Solve 14*b = 11*b + 3 for b.
1
Solve -6*a - 8*a = 56 for a.
-4
Solve -14*x = -12*x - 2 for x.
1
Solve 0 = -99*b + 95*b + 8 for b.
2
Solve -z + 6*z + 8*z = 0 for z.
0
Solve -7*j + 190 - 148 = 0 for j.
6
Solve -5 = -15*g + 10*g for g.
1
Solve -x - 20*x = 0 for x.
0
Solve 20*o - 12 = 17*o for o.
4
Solve 18*v = 19*v + 2 for v.
-2
Solve -55*a = -91 + 421 for a.
-6
Solve 44 = 8*i + 3*i for i.
4
Solve -302*m + 45 = -311*m for m.
-5
Solve 397*g + 48 = 391*g for g.
-8
Solve -31*z = 109 + 46 for z.
-5
Solve 0 = 452*g - 454*g - 12 for g.
-6
Solve -6*g = -8 - 10 for g.
3
Solve -30*b + 40 = -20*b for b.
4
Solve 199 = 35*n + 304 for n.
-3
Solve -3*q - 17 = -5 for q.
-4
Solve 0 = -5*n + 10*n - 10 for n.
2
Solve 11*g = 8*g + 12 for g.
4
Solve 50 = -8*l + 10 for l.
-5
Solve -10*u + 11 = -39 for u.
5
Solve -33 = 2*g + 9*g for g.
-3
Solve -5 = 4*q - 5*q for q.
5
Solve 12*i - 1 - 23 = 0 for i.
2
Solve 389*w = 391*w + 2 for w.
-1
Solve 16*l + 15 = -65 for l.
-5
Solve 8 - 77 = -23*b for b.
3
Solve 0 = -5*i + 1 + 4 for i.
1
Solve 3*i = -16 + 10 for i.
-2
Solve -143*w - 32 = -135*w for w.
-4
Solve f + 51 = 56 for f.
5
Solve -47*u + 64 = -218 for u.
6
Solve 37 = -8*n - 3 for n.
-5
Solve 0 = 112*n - 4*n + 216 for n.
-2
Solve -w + 7*w - 12 = 0 for w.
2
Solve 19 - 54 = 35*d for d.
-1
Solve -6 = 8*r - 10*r for r.
3
Solve -130 = -20*o - 30 for o.
5
Solve 13 = 3*s - 5 for s.
6
Solve -71*m = -21*m - 400 for m.
8
Solve 5*n - 15 = 2*n for n.
5
Solve 55*f - 97 = 13 for f.
2
Solve -448*r + 451*r - 15 = 0 for r.
5
Solve 10 = 6*c - 11*c for c.
-2
Solve 85*s - 51*s = -136 for s.
-4
Solve -29*x + 23*x + 12 = 0 for x.
2
Solve q = 7*q - 30 for q.
5
Solve -8*p = -15*p + 14 for p.
2
Solve 6*b + 36 = -6*b for b.
-3
Solve 0 = -2*q - 2*q + 16 for q.
4
Solve 188 = -18*j - 29*j for j.
-4
Solve 45*s + 52 = 19*s for s.
-2
Solve 4*x + 144 = 140 for x.
-1
Solve 2*w + 5*w = -9*w for w.
0
Solve 13*z + 4*z = -102 for z.
-6
Solve -59*s - 60*s = -16*s for s.
0
Solve -3377*k = -3386*k - 72 for k.
-8
Solve 60 = 8*h - 20*h for h.
-5
Solve -6*r - 147 = -183 for r.
6
Solve 0 = 134*u + 250 + 18 for u.
-2
Solve -88*h - 30 = -94*h for h.
5
Solve 66 = -0*i - 22*i for i.
-3
Solve -3*i = 3*i - 12 for i.
2
Solve 756 = -9*t + 783 for t.
3
Solve -71 = -s - 70 for s.
1
Solve u + 2*u = -8*u for u.
0
Solve s - 545 = -550 for s.
-5
Solve 184 = 41*v - 144 for v.
8
Solve -29*k + 189 + 14 = 0 for k.
7
Solve -116 = t - 113 for t.
-3
Solve -3*f = -2*f + 1 for f.
-1
Solve 39*t - 65 = 26*t for t.
5
Solve -8 = -7*n - 22 for n.
-2
Solve -3*x - 5*x - 8 = 0 for x.
-1
Solve -17*v = 7*v - v for v.
0
Solve -3 = 74*x - 71*x for x.
-1
Solve 12 = -6*b + 10*b for b.
3
Solve 8*l + 2 = 34 for l.
4
Solve -19*i - 15 = -22*i for i.
5
Solve 216 + 34 = 25*z for z.
10
Solve -6*g = -11*g - 15 for g.
-3
Solve -681 = -6*a - 717 for a.
-6
Solve -351 = -42*d + 3*d for d.
9
Solve -850*i = -867*i - 136 for i.
-8
Solve -267 + 222 = 9*x for x.
-5
Solve 0 = -32*q + 174 - 14 for q.
5
Solve -5*l = -4*l for l.
0
Solve -13*a = -25*a for a.
0
Solve -17 + 21 = 4*n for n.
1
Solve 9*o = 46*o - 37 for o.
1
Solve -110 - 97 = -23*r for r.
9
Solve -49*a + 140 = -21*a for a.
5
Solve 11 - 3 = -4*n for n.
-2
Solve 19 - 7 = -4*w for w.
-3
Solve -27*z = -24*z - 9 for z.
3
Solve 0 = -5*p + 8*p - 15 for p.
5
Solve 41 = -22*h - 19*h for h.
-1
Solve 15 = -26*a + 21*a for a.
-3
Solve -174 + 138 = -6*i for i.
6
Solve 18 = 4*g + 34 for g.
-4
Solve -11*a = 4 - 26 for a.
2
Solve -3*d - d = -16 for d.
4
Solve -5*k + 2 = 7 for k.
-1
Solve -9 + 9 = -3*q for q.
0
Solve -114 = 5*a - 109 for a.
-1
Solve -186*a = -146*a - 40 for a.
1
Solve 2*r = 5*r + 9 for r.
-3
Solve 2*u = -5 + 13 for u.
4
Solve 0 = 317*r - 321*r - 4 for r.
-1
Solve -10*d - 48 = 2*d for d.
-4
Solve -4 = n - 2 for n.
-2
Solve 3*f = 196 - 190 for f.
2
Solve -149*b + 167*b = -36 for b.
-2
Solve 69*y - 106 = 32 for y.
2
Solve 0 = 4*v + 14*v + 11*v for v.
0
Solve 0 = 24*h + 1406 - 1190 for h.
-9
Solve 0 = -6*o - 835 + 829 for o.
-1
Solve 22 = 2*n + 26 for n.
-2
Solve 19*x = 15*x - 16 for x.
-4
Solve 71*z + 483 = 2*z for z.
-7
Solve 0 = -4*q - 12 - 8 for q.
-5
Solve 3*x = -15*x for x.
0
Solve 64*d = 39*d + 125 for d.
5
Solve 84*q + q - 850 = 0 for q.
10
Solve 32*b - 100 = 22*b for b.
10
Solve 57 = -x + 53 for x.
-4
Solve i + 18 = 24 for i.
6
Solve -6*i = 8 - 26 for i.
3
Solve 26*k - 71 = -19 for k.
2
Solve -21 = u - 24 for u.
3
Solve -138*n = -141*n + 12 for n.
4
Solve 3*l = 23 - 5 for l.
6
Solve -60*q + 5 = -55*q for q.
1
Solve -6*w = 7*w + 78 for w.
-6
Solve 47*k = 13*k + 204 for k.
6
Solve -42*q - 12 = -39*q for q.
-4
Solve -25*i - 23*i = -384 for i.
8
Solve 0 = -102*j + 92*j + 60 for j.
6
Solve 0 = -43*s + 41*s + 12 for s.
6
Solve r = -18 + 13 for r.
-5
Solve 0 = -37*b + 38 - 297 for b.
-7
Solve 28*y = -2*y - 5*y for y.
0
Solve -3*l - 47 = -44 for l.
-1
Solve -259 + 265 = -2*b for b.
-3
Solve 0 = -i - 7 + 11 for i.
4
Solve -3 = 18*n + 51 for n.
-3
Solve -2*v + 16 = 10 for v.
3
Solve 168*c = 184*c + 96 for c.
-6
Solve 0 = v + 4 - 2 for v.
-2
Solve 0 = -5*f + 24*f + 57 for f.
-3
Solve -29*g = -37*g for g.
0
Solve 0 = 50*z - 45*z - 5 for z.
1
Solve -65 + 23 = 6*h for h.
-7
Solve 17*r = 8217 - 8234 for r.
-1
Solve 41*b + 24 = 45*b for b.
6
Solve -390 = -6*t - 378 for t.
2
Solve -1305 = -11*h - 1283 for h.
2
Solve -7 = -o - 8 for o.
-1
Solve 2*z = -11*z + 39 for z.
3
Solve 39 - 9 = -6*s for s.
-5
Solve 7*a = 31*a for a.
0
Solve -28*d = -183 + 295 for d.
-4
Solve -16*m = -32*m - 96 for m.
-6
Solve 26 = 17*x - 25 for x.
3
Solve -1926*i = -1927*i + 1 for i.
1
Solve 419 = -2*h + 419 for h.
0
Solve -2*h - 228 = -40*h for h.
6
Solve -102*m + 101*m = 0 for m.
0
Solve -7*w + 74 = 123 for w.
-7
Solve 14 = 5*r - 11 for r.
5
Solve 3887 - 3855 = 4*v for v.
8
Solve 5*y + 1 + 14 = 0 for y.
-3
Solve 1 = 5*k + 21 for k.
-4
Solve 47*r - 23 = -211 for r.
-4
Solve j + 24 = 27 for j.
3
Solve 8*b = 10*b for b.
0
Solve 5 + 1 = -2*x for x.
-3
Solve 6*x - 12*x = -24 for x.
4
Solve -13*u + 4 = -17*u for u.
-1
Solve -67 = 80*l + 93 for l.
-2
Solve -128*w + 39 = -115*w for w.
3
Solve 35 = 12*y + 11 for y.
2
Solve -15*s - 24 = -3*s for s.
-2
Solve 11*s + 17 = 28 for s.
1
Solve 0 - 16 = 4*s for s.
-4
Solve -5*d = 19 - 39 for d.
4
Solve -260 = -77*m + 142*m for m.
-4
Solve -3*j = 14*j + j for j.
0
Solve 0 = -21*a - 11 - 52 for a.
-3
Solve 4*o - 18 = 6 for o.
6
Solve 2*w = -23*w - 125 for w.
-5
Solve -33*t - 4 = -29*t for t.
-1
Solve -10 = -12*w + 26 for w.
3
Solve 0 = -12*a - 13 + 25 for a.
1
Solve 4 = -49*u + 4 for u.
0
Solve -20 = 5*m - 30 for m.
2
Solve -620 + 636 = 16*z for z.
1
Solve v - 22 = -21 for v.
1
Solve -65 = 26*m - 169 for m.
4
Solve 76*v - 78*v = -12 for v.
6
Solve 0 = -52*b + 47*b + 5 for b.
1
Solve -14 = -3*i - 29 for i.
-5
Solve -4*g + 8*g = -8 for g.
-2
Solve -6*z = -8*z - 6 for z.
-3
Solve 41*t - 312 = -11*t for t.
6
Solve 3*z = -2*z - 15 for z.
-3
Solve -36 = -49*q + 111 for q.
3
Solve -32 = 38*o + 6 for o.
-1
Solve 0 = -60*j + 58*j + 10 for j.
5
Solve -4 - 5 = 9*b for b.
-1
Solve o + 7*o + 16 = 0 for o.
-2
Solve 0 = 7*t + 3*t + 6*t for t.
0
Solve 22*f - 5 = 27*f for f.
-1
Solve -104 = 22*n + 4*n for n.
-4
Solve 124 + 100 = -28*x for x.
-8
Solve 30*b + 45 = 39*b for b.
5
Solve 17*j - 40 = -6 for j.
2
Solve 7*w = 2*w for w.
0
Solve 35 = 10*s - 3*s for s.
5
Solve 148 = -187*o + 224*o for o.
4
Solve 2*w = 4*w + 4 for w.
-2
Solve -9*u = 536 - 581 for u.
5
Solve 8*o = -4*o - 36 for o.
-3
Solve -56*f = -59*f - 12 for f.
-4
Solve 0 = 8*q - 2 - 30 for q.
4
Solve 256*o = 263*o - 7 for o.
1
Solve 0 = 519*b - 526*b for b.
0
Solve 66*z = -628 + 100 for z.
-8
Solve 22 = -2*b + 22 for b.
0
Solve -86*s = -70*s + 80 for s.
-5
Solve 17*i + 592 - 422 = 0 for i.
-10
Solve -4 = -7*b + 3 for b.
1
Solve -36*i = -10*i + 78 for i.
-3
Solve -31 = 15*d - 106 for d.
5
Solve -6*a - 70 = -58 for a.
-2
Solve 664 - 682 = 3*u for u.
-6
Solve 5*u = -10*u - 60 for u.
-4
Solve 95*s - 77*s = 18 for s.
1
Solve -7*t - 25 = -12*t for t.
5
Solve -4*d = -3*d - 4 for d.
4
Solve -6*l - 41 = -11 for l.
-5
Solve 23*b = | {
"pile_set_name": "DM Mathematics"
} |
is the hundred thousands digit of 1373990?
3
What is the thousands digit of 232516?
2
What is the ten millions digit of 13637783?
1
What is the units digit of 846514?
4
What is the tens digit of 102148?
4
What is the units digit of 26782?
2
What is the hundreds digit of 894033?
0
What is the hundreds digit of 2492079?
0
What is the tens digit of 5489444?
4
What is the ten millions digit of 13964785?
1
What is the units digit of 936026?
6
What is the hundred thousands digit of 4261523?
2
What is the hundred thousands digit of 220433?
2
What is the hundred thousands digit of 4671537?
6
What is the hundreds digit of 279439?
4
What is the units digit of 3232894?
4
What is the thousands digit of 2308000?
8
What is the hundred thousands digit of 34797342?
7
What is the millions digit of 4379405?
4
What is the thousands digit of 260159?
0
What is the ten millions digit of 17639514?
1
What is the thousands digit of 6056917?
6
What is the hundred thousands digit of 368458?
3
What is the thousands digit of 378521?
8
What is the millions digit of 14938792?
4
What is the tens digit of 92883?
8
What is the hundred thousands digit of 215730?
2
What is the hundreds digit of 146334?
3
What is the thousands digit of 399581?
9
What is the tens digit of 351782?
8
What is the hundred thousands digit of 11869804?
8
What is the ten thousands digit of 314838?
1
What is the hundreds digit of 1056866?
8
What is the tens digit of 13625556?
5
What is the ten thousands digit of 1665787?
6
What is the thousands digit of 28388443?
8
What is the millions digit of 5517402?
5
What is the millions digit of 1588759?
1
What is the hundred thousands digit of 506106?
5
What is the hundred thousands digit of 988412?
9
What is the thousands digit of 194450?
4
What is the ten thousands digit of 152063?
5
What is the units digit of 17648826?
6
What is the hundred thousands digit of 1323733?
3
What is the hundred thousands digit of 10776196?
7
What is the ten thousands digit of 2306062?
0
What is the hundreds digit of 205209?
2
What is the hundred thousands digit of 425764?
4
What is the hundred thousands digit of 2435630?
4
What is the hundreds digit of 6599347?
3
What is the millions digit of 1248822?
1
What is the millions digit of 1864420?
1
What is the hundreds digit of 230847?
8
What is the hundreds digit of 248492?
4
What is the hundred thousands digit of 1425518?
4
What is the ten thousands digit of 18674602?
7
What is the hundreds digit of 17583606?
6
What is the ten thousands digit of 469649?
6
What is the hundreds digit of 5815714?
7
What is the tens digit of 4222278?
7
What is the ten thousands digit of 601608?
0
What is the millions digit of 4171859?
4
What is the units digit of 841237?
7
What is the tens digit of 245969?
6
What is the tens digit of 7054011?
1
What is the units digit of 173292?
2
What is the ten thousands digit of 524167?
2
What is the ten thousands digit of 575794?
7
What is the tens digit of 805296?
9
What is the ten millions digit of 11032243?
1
What is the thousands digit of 111983?
1
What is the hundreds digit of 538063?
0
What is the millions digit of 1650805?
1
What is the units digit of 3098095?
5
What is the units digit of 333335?
5
What is the hundred thousands digit of 530075?
5
What is the ten millions digit of 17090661?
1
What is the thousands digit of 2082691?
2
What is the tens digit of 243224?
2
What is the units digit of 3719865?
5
What is the ten thousands digit of 148222?
4
What is the ten thousands digit of 1686434?
8
What is the hundreds digit of 12131966?
9
What is the hundred thousands digit of 562290?
5
What is the hundred thousands digit of 554664?
5
What is the thousands digit of 3959439?
9
What is the millions digit of 2112388?
2
What is the thousands digit of 153853?
3
What is the tens digit of 21064982?
8
What is the tens digit of 51893?
9
What is the thousands digit of 2940776?
0
What is the hundreds digit of 144654?
6
What is the ten thousands digit of 2241825?
4
What is the hundreds digit of 459980?
9
What is the thousands digit of 19115?
9
What is the millions digit of 1752693?
1
What is the thousands digit of 149824?
9
What is the tens digit of 2975221?
2
What is the units digit of 13285744?
4
What is the units digit of 1266202?
2
What is the thousands digit of 394657?
4
What is the tens digit of 68396?
9
What is the millions digit of 11828082?
1
What is the hundred thousands digit of 1049962?
0
What is the tens digit of 90080?
8
What is the units digit of 1288652?
2
What is the millions digit of 2488673?
2
What is the hundreds digit of 1016810?
8
What is the tens digit of 610954?
5
What is the thousands digit of 18277?
8
What is the thousands digit of 255215?
5
What is the millions digit of 15424068?
5
What is the thousands digit of 18537?
8
What is the hundred thousands digit of 305718?
3
What is the thousands digit of 1138896?
8
What is the ten thousands digit of 217142?
1
What is the hundred thousands digit of 168811?
1
What is the hundreds digit of 271901?
9
What is the hundreds digit of 1297350?
3
What is the hundreds digit of 71567?
5
What is the thousands digit of 172629?
2
What is the millions digit of 2654878?
2
What is the hundreds digit of 195760?
7
What is the ten thousands digit of 23681?
2
What is the thousands digit of 177888?
7
What is the hundreds digit of 159007?
0
What is the hundred thousands digit of 269035?
2
What is the ten thousands digit of 1533944?
3
What is the hundreds digit of 2554784?
7
What is the units digit of 18498462?
2
What is the tens digit of 62467?
6
What is the hundreds digit of 81316?
3
What is the ten thousands digit of 1671968?
7
What is the hundred thousands digit of 582740?
5
What is the thousands digit of 254742?
4
What is the units digit of 1595530?
0
What is the units digit of 182775?
5
What is the units digit of 198772?
2
What is the hundreds digit of 3465984?
9
What is the hundreds digit of 1873970?
9
What is the tens digit of 1653701?
0
What is the tens digit of 58960?
6
What is the thousands digit of 2102243?
2
What is the tens digit of 16510032?
3
What is the tens digit of 4565720?
2
What is the millions digit of 18390194?
8
What is the tens digit of 153277?
7
What is the millions digit of 4344961?
4
What is the hundreds digit of 335063?
0
What is the thousands digit of 26120458?
0
What is the units digit of 134263?
3
What is the hundreds digit of 7228434?
4
What is the hundreds digit of 29609301?
3
What is the hundred thousands digit of 15029564?
0
What is the hundred thousands digit of 2662643?
6
What is the thousands digit of 1904496?
4
What is the hundred thousands digit of 4014559?
0
What is the hundred thousands digit of 1449231?
4
What is the hundreds digit of 457105?
1
What is the ten thousands digit of 17667456?
6
What is the hundred thousands digit of 3596968?
5
What is the units digit of 279600?
0
What is the units digit of 4174?
4
What is the ten millions digit of 13553565?
1
What is the tens digit of 3237539?
3
What is the hundred thousands digit of 689520?
6
What is the units digit of 7056923?
3
What is the millions digit of 1628811?
1
What is the tens digit of 305647?
4
What is the units digit of 2796445?
5
What is the hundred thousands digit of 2457899?
4
What is the tens digit of 5507934?
3
What is the tens digit of 425584?
8
What is the thousands digit of 386274?
6
What is the thousands digit of 32244366?
4
What is the hundreds digit of 435175?
1
What is the tens digit of 569968?
6
What is the millions digit of 4635864?
4
What is the thousands digit of 62986?
2
What is the hundreds digit of 51023?
0
What is the units digit of 7831665?
5
What is the thousands digit of 5491692?
1
What is the hundred thousands digit of 7352015?
3
What is the tens digit of 7660177?
7
What is the thousands digit of 841675?
1
What is the thousands digit of 113598?
3
What is the ten thousands digit of 10561696?
6
What is the units digit of 278474?
4
What is the tens digit of 20163849?
4
What is the units digit of 371056?
6
What is the hundred thousands digit of 10396132?
3
What is the tens digit of 18494999?
9
What is the units digit of 1431287?
7
What is the hundreds digit of 2086699?
6
What is the hundred thousands digit of 168707?
1
What is the units digit of 487512? | {
"pile_set_name": "DM Mathematics"
} |
(2/(-390)*-3)/(-55*15/(-20625))?
5/13
((-40)/(-15))/((-51)/(-459))
24
Evaluate (5316/2658)/(124/(-2)).
-1/31
24*(220/(-105))/22*-7
16
What is the value of (-297)/22*192/(-1296)?
2
6*(-3)/(-84)*-2*(-2)/(-3)
-2/7
Evaluate 18/189*(-14)/((-8)/8).
4/3
What is the value of 75/45*7*2/14*9?
15
Evaluate -13*-1*9*(-13)/(-117).
13
Evaluate 12/(-4)*1*22/66.
-1
Calculate (-10)/(-8)*(-10)/((-50)/7).
7/4
((-510)/(-1530))/((-34)/18)
-3/17
Calculate (-21)/18*32*(-12)/(-336).
-4/3
What is 9/675*(-40)/24?
-1/45
Evaluate 30/126*(-111)/370.
-1/14
Calculate -2*35/84*(-120)/(-450).
-2/9
What is (-185)/259*49/(-7)?
5
What is (4/2)/((-43)/(-1290)*-12)?
-5
42/4*4592/(-3444)
-14
What is the value of ((-46)/207)/((-4)/(-27))?
-3/2
What is the value of (-50)/135*(-10)/(-250)*15?
-2/9
What is the value of ((-21)/63)/(((10/5)/(-10))/6)?
10
Evaluate -1*(-24)/(-40)*40/72.
-1/3
What is the value of (11/((-2233)/116))/((-16)/952)?
34
Calculate 6/(-273)*(-3276)/252.
2/7
Evaluate (-8*(-273)/(-84))/(56/(-7)).
13/4
What is the value of (408/48)/(7/(-14))?
-17
Evaluate ((-3)/5)/(16992/(-960)).
2/59
Calculate (1155/(-22))/(-21)*(-24)/(-30)*1.
2
Calculate (-5)/26*(-27)/(-60)*(-688)/(-129).
-6/13
What is the value of (219/(-2628)*40/(-2))/((-10)/(-6))?
1
What is (-10)/45*9*(-3)/(-26)?
-3/13
What is the value of (((-40)/84)/(-5))/(-2*(-6)/(-90))?
-5/7
(-2040)/(-765)*(-6)/(-40)
2/5
Calculate ((-15)/85)/((-48)/408).
3/2
Calculate ((-2840)/(-2130))/((-2)/9).
-6
Calculate (-26)/(-6)*((-180)/70)/(-6)*-7.
-13
What is ((-2)/(-4)*(-207)/(-46))/(15/180)?
27
What is the value of (((-2)/(-12))/(1/26))/((-11)/(-33))?
13
What is (-2*(-12)/15)/((-8)/((-160)/(-4)))?
-8
Calculate ((-504)/(-210))/((18/(-20))/((-18)/(-6))).
-8
168/((-336)/(-8))*(-1)/(4/(-9))
9
Calculate 56/(-6)*4*27/(-144).
7
(3/(-39))/(-3*(-2)/(-12))
2/13
What is the value of 50/90*(-972)/(-45)?
12
What is the value of ((-3)/(-20))/(((-36)/(-144))/(35/168))?
1/8
Calculate ((1664/78)/32)/(39/(-54)).
-12/13
What is (-270)/135*2/2*-9?
18
Evaluate (-316)/79*(-3)/(-2).
-6
What is the value of (1/(5/18))/((-20)/(-50))?
9
What is the value of 2631/1754*((-3)/(-3))/(-48)?
-1/32
Evaluate (-18)/88*(-160)/240*(-22)/(-12).
1/4
Calculate (-6)/(((-57)/6)/19).
12
What is ((-14)/42*2)/((-8)/6*-2)?
-1/4
Evaluate -17*20/(-187)*(-4)/20.
-4/11
Calculate 2*-12*(-17)/(-7140).
-2/35
26/13*20/(-4)
-10
What is the value of (-10)/(-36)*12/30?
1/9
Evaluate (-123)/82*(-11)/(99/(-84)).
-14
What is the value of (4/(-40))/((-3)/18*3)?
1/5
Evaluate ((2/3)/(((-130)/(-39))/(-5)))/2.
-1/2
((-3808)/42)/(72/(-27))
34
((-15)/10)/(4*(-3)/(-312))
-39
Evaluate (1/(-3))/(((-1508)/78)/58).
1
Evaluate (-51)/((-612)/(-8))*9/((-9)/3).
2
What is 156/312*((-20)/1)/1?
-10
What is the value of -20*8*(-45)/480?
15
What is the value of 4/18*(-11286)/660?
-19/5
What is (-27)/(-261)*4/6?
2/29
Evaluate 65/156*2/((-6)/9).
-5/4
Calculate (-2)/(-24)*(-1584)/(-33).
4
What is 9/(-33)*-11*(-34)/(-561)?
2/11
Evaluate (((-105)/45)/((12/(-4))/(-6)))/(-2).
7/3
Evaluate 6/60*-24*(-100)/660.
4/11
What is (372/155)/(140/(-150))?
-18/7
Calculate 8/7*19964/(-2139)*6/(-4).
16
(31/(-217))/(1/(-2))*28/12
2/3
Evaluate 23/(-1*10/15*102/68).
-23
Evaluate 340/(-34)*(-2)/(-24).
-5/6
What is (-1*36/(-42))/((-156)/(-3640))?
20
What is the value of ((-28)/12)/((-10)/(-30))?
-7
What is the value of 1/(14*5/(-30))?
-3/7
((-4)/2)/(1/(-5)*(-1000)/800)
-8
What is (-2)/(-10)*1595/(-29)?
-11
What is the value of (-1)/(-35)*8344/2384?
1/10
What is ((-192)/(-240))/(1/(-15))?
-12
What is the value of 3*20*4/240?
1
What is (-4)/46*64*7/448?
-2/23
Calculate 20/((-21)/(-21)*(-52)/39).
-15
Evaluate ((-328)/(-246))/(-1*4)*2.
-2/3
Calculate (((-1)/(-3))/(5/270*-6))/19.
-3/19
What is (1/2)/(6/12)*19?
19
What is (-1)/6*10*-1*(-99)/(-11)?
15
Calculate 4/110*(-1035)/(-69).
6/11
What is 33/(-11)*3*96/(-144)?
6
Evaluate (-39*39/(-169))/(5*3).
3/5
Calculate (-8)/((-24)/15)*12/(-12).
-5
(8/1)/((-79)/((-1501)/(-114)))
-4/3
Calculate (-172)/(-2064)*(-12)/10.
-1/10
(-3)/(((-1078)/7)/14)
3/11
Calculate ((-15)/(1170/13))/2.
-1/12
Evaluate (4/(-3))/((-3244)/(-55959)).
-23
18/10*5*(-45)/180
-9/4
What is the value of ((-1)/(2/16))/(((-420)/(-14))/30)?
-8
Evaluate (21/30*12/28)/(6/(-2)).
-1/10
(20/(-2))/(((-360)/75)/6)
25/2
((-4232)/(-5290))/(-2*1/35)
-14
Calculate ((-210)/70)/(180/(-16)).
4/15
Calculate 48/(-20)*15/(-18)*-3.
-6
Evaluate ((-4)/(-10))/(33/(-330)).
-4
What is the value of 1/(((-1)/18)/(3*22/198))?
-6
3/24*(-11)/(-11)
1/8
What is 32/(-72)*51/34*30/(-4)?
5
(6/(-15))/(6/(12/1)*2)
-2/5
What is (17/((-561)/(-22)))/(2/(-156)*4)?
-13
(92/(-161))/(10/210)
-12
What is the value of (4/(-10))/(4/3*(-261)/(-1218))?
-7/5
(-4)/(-6)*(-20)/(-80)*2
1/3
10/25*(-760)/(-988)
4/13
What is 17/(-17)*-51*(-8)/24?
-17
What is the value of (8/30*(-6)/4)/((-120)/(-50))?
-1/6
Calculate 1*276/414*(-1)/((-6)/(-243)).
-27
What is the value of (646/289)/((-46)/391)?
-19
(720/12)/(-30)*((-5)/(-6))/5
-1/3
What is (-122)/305*5/6?
-1/3
Calculate 1296/288*2/(-24).
-3/8
Calculate (-8)/(12*17/102).
-4
(42/(-616)*-11)/(21/133)
19/4
What is ((-204)/54)/(1*(-24)/108)?
17
What is (10/3)/((-1764)/378)?
-5/7
What is the value of (6/(-7)*525/(-300))/((-8)/(-112))?
21
Calculate (-366)/1098*0*(-1)/(-2).
0
What is (4/238)/(1325/(-1855))?
-2/85
((-180)/42)/5*(-1617)/2541
6/11
Evaluate ((-3)/((-12)/((-21)/(-7))))/(9/(-2)).
-1/6
What is ((2610/240)/29)/(6/(-56))?
-7/2
Evaluate ((-1038)/(-2595))/(1/(-5)).
-2
1*1*(-10)/85
-2/17
Calculate ((-1503)/(-167))/((-12)/(-2)).
3/2
Evaluate ((-1)/1)/((42/(-6))/140).
20
Evaluate (8/(-3))/(7*(-6)/(-189)).
-12
What is the value of 39/(((-2)/(44/(-6)))/((-216)/(-1188)))?
26
(-5*(2262/(-65))/6)/(6/6)
29
Evaluate (2/1*(-18)/(-56))/((-21)/56).
-12/7
Calculate 42/(-147)*1*(-45)/10.
9/7
Evaluate (-30)/2*(-3)/((-24)/32*28).
-15/7
What is (29/(-58))/((-20)/(-24))?
-3/5
What is 330/55*1/(-2)?
-3
Evaluate (702/(-108))/(1*1/(-2)).
13
What is the value of ((-4)/2*2/(-4))/(53/106)?
2
1060/(-477)*(-9)/2
10
Calculate 14*11*(-9)/(-330)*(-20)/(-70).
6/5
Calculate ((-25)/150*18)/((-3)/6*-111).
-2/37
What is (3/(-18))/((-34)/(-12))?
-1/17
Evaluate 21*5*35/(-525).
-7
((-4)/21)/(13/364*-2)
8/3
Evaluate 18/(-12)*((-4)/15)/((-8)/(-100)).
5
(-75*(-87)/10150)/(2/4)
9/7
What is (19/((-1463)/(-132)))/(((-69)/(-14))/(-23))?
-8
Evaluate 126/756*(-1)/(-2)*6.
1/2
What is the value of 544/(-4488)*(-11)/6?
2/9
((-1400)/(-400))/(357/12)
2/17
What is (-6)/((40/(-2700)*9)/((-1)/20))?
-9/4
What is (12/35)/((-2)/(-5)*1)?
6/7
20/(-1120)*(-273)/13
3/8
Calculate ((-156)/8)/13*280/(-270).
14/9
207/2070*(4/6)/((-4)/(-30))
1/2
What is (6/9)/(4/(-216))*(-3)/(-6)?
-18
What is 1/(-25)*((-1380)/36)/(-23)?
-1/15
Evaluate ((-12)/(-5))/(16170/1225).
2/11
Calculate 36/(-60)*10/4*28/6.
-7
What is 5/(-42)*21*(-36)/126?
5/7
What is the value of 4/2*1*33/(-11616)*48?
-3/11
What is (-17)/2*2*((-80)/(-16))/5?
-17
Calculate 3375/6075*(8/10)/(2/6).
4/3
What is the value of 2*-20*(-14)/(-5600)?
-1/10
Evaluate (-1)/(-1)*5340/(-712)*2/(-3).
5
What is (17/(-1139))/((-58)/(-116))?
-2/67
Calculate (1124/(-6182))/(1*(-1)/11).
2
Calculate (152*61/(-1464))/(1/(-3)).
19
What is the value of 19/38*1470/(-21)?
-35
Evaluate 1*((4/5)/2)/(70/35).
1/5
(-675)/(-54)*(-8)/20
-5
Calculate (132/(-54)*3)/(24/36).
-11
Calculate 41/((-25830)/28)*(-5)/75*-9.
-2/75
Evaluate 1*-3*((-3)/(-6))/((-33)/(-22)).
-1
What is the value of 11/2*11622/4917?
13
8*(-1)/(-3)*282/846
8/9
Evaluate ((-36)/(-84))/((-2)/(-70)).
15
What is the value of (-62)/(-620)*6/(-7)*28/(-3)?
4/5
((-1)/(-6))/(((-4)/4)/10)
-5/3
What is 4*3/(-70)*(-43)/(1161/42)?
4/15
What is the value of ((-1)/4)/(426/284)?
-1/6
What is the value of (2/56)/((12/(-32))/(288/128))?
-3/14
(16/520*13)/((-22)/15)
-3/11
What is (25*(-15)/300)/(1/12)?
-15
What is ((-28)/210)/(4/(-285))*-2?
-19
(2/69)/(22*(-58)/1914)
-1/23
What is the value of (1128/(-9024))/(1/(-4))?
1/2
Calculate 2/(-7)*1*77/(-88).
1/4
Calculate 14*((-891)/(-189))/(-3).
-22
Evaluate ((-2)/(-4))/((525/20)/21).
2/5
1074/(-39380)*40/(-18)
2/33
What is the value of 295/(-354)*4/200*3?
-1/20
What is the value of 42/10*(-1090)/(-763)?
6
Evaluate 1*((-16)/((-256)/40))/(5/2).
1
-6*(-15)/4*(-348)/(-870)
9
What is 1/(1/(-44)*-2)?
22
Calculate ((-18)/21)/(410/(-287)).
3/5
What is 1*85/(-119)*-7?
5
What is the value of ((91/(-18 | {
"pile_set_name": "DM Mathematics"
} |
2*o**2 + 0*o**2)*(44 + 4*o + 7*o - 12*o) to q*o**4 + g*o**2 + j + i*o + d*o**3 and give q.
26
Express (-9797 + 2686 + 2860 + (1 - 4 + 2)*(1 + 2 - 1) + 2 - 1 - 3)*(-3 + 5 - 3)*(2*x + 0*x - 3*x)*(-1 - 2 + 7) in the form c + l*x and give l.
-17020
Rearrange 53371*v**3 + 2 - 2 - 53369*v**3 + 240*v**2 to the form u*v + a + j*v**3 + i*v**2 and give j.
2
Rearrange -723*h + 1510*h - 2 - 768*h + 3*h**3 + 6*h**2 to v + p*h**3 + q*h**2 + f*h and give q.
6
Rearrange (-30863 + 12956 + 34731 + (2 - 3 - 1)*(-2 + 4 - 1))*(2*u**4 + u**2 - u**2) to the form r*u**2 + z*u + i + n*u**4 + b*u**3 and give i.
0
Rearrange (2 + g**2 + 0 + 2*g - 4*g)*(8*g - 2*g - g)*(2 - 1 + 1) - 10*g**3 + 4*g**3 + 16*g**3 to f*g**3 + d*g**2 + s + w*g and give w.
20
Express (1 + 3*d**3 - 1)*(-2*d + 13 + 4 - 4*d) as s*d + h*d**2 + p*d**4 + t*d**3 + r and give s.
0
Rearrange 55 - 36*h**2 + 28374*h - 28376*h + 23 + (-2*h - 2*h + h)*(3*h + 0*h - 4*h) to the form s*h + u + o*h**2 and give o.
-33
Express (-2*m + m**2 + 2*m)*(m - 7*m**2 - m) + (28 - 31 - 78)*(3*m**4 - 4*m**3 + 4*m**3) in the form y*m**3 + a*m + g + d*m**4 + l*m**2 and give d.
-250
Rearrange -248 + 29*y - y**3 + 30*y + 1793*y**4 - 66*y - 1791*y**4 to the form o*y**2 + w*y**3 + m*y + v + t*y**4 and give m.
-7
Express (-190*t**2 + 33*t**2 - 463*t**2 - 739*t**2)*(0 - 34 - 2) as j*t**2 + l + x*t and give j.
48924
Express (0 - 1 - 1)*(2*h + 5*h - 6*h)*(-922 - 1131 + 219)*((4 - 4 + 1)*(-2 + 2 - 4) + 0 + 1 + 1) in the form m*h + q and give m.
-7336
Express 3194*f - 210*f + 1451*f + 3393*f as a + s*f and give s.
7828
Rearrange -230 + 688 - 225 - 23589*o**2 - 233 to n*o + b + f*o**2 and give f.
-23589
Rearrange 78*c**2 - 12 + 34 - 25 to g*c**2 + m*c + s and give s.
-3
Rearrange 94*c**4 + 18*c**2 - 7*c**2 - 2 - 93*c**4 + 19*c to the form t + u*c + p*c**4 + y*c**3 + o*c**2 and give p.
1
Rearrange -7819 - 7874 + 6368 + 2*y to n + c*y and give c.
2
Rearrange -1203*l - 3299*l - 661*l to the form b*l + c and give b.
-5163
Rearrange -2 + 4*m - 29*m**2 - 3 + 51*m**2 - 25*m**2 to the form k*m**2 + p + j*m and give j.
4
Rearrange -50 + 398*r - 844*r - 19 + 373*r to the form i*r + t and give i.
-73
Rearrange 267 + 4*w - 241 + 192 to the form x + f*w and give f.
4
Express (l + 9*l - 4*l)*(-4 + 2 + 1) + (138 - 12 - 1)*(-2*l - 3 + 3) in the form w + j*l and give j.
-256
Express -17*h**4 - 19*h**4 + h**3 - 9*h**4 + h**2 - 17 + 48*h**4 + 3*h**3 as j*h**3 + p*h**4 + m + o*h**2 + l*h and give j.
4
Rearrange (-5 + 2 - 1 - j)*(-4*j + 2*j + 2 + 0)*(5 - 6 + 2) + (-j - j + j)*(-2*j - 4*j + 0*j) - 3*j**2 - 2*j**2 + 9*j**2 to q*j**2 + g*j + p and give q.
12
Express r**2 + 6*r - 16*r**4 + 9357871 - 57*r**4 - 9357869 - 2*r**3 as b*r**3 + d*r**4 + l*r + h + j*r**2 and give h.
2
Express 165298*y**3 - 20*y**2 + 1 + y - 165297*y**3 + 7*y**2 + y**4 + 3 as s*y + u + h*y**2 + p*y**3 + l*y**4 and give u.
4
Express (-22*o + 176 - 209 + 239*o)*(1 - 4 + 2) in the form t + u*o and give t.
33
Rearrange (6*x - 2*x + x)*(18*x + 3*x + 6*x**2 - 12*x) to the form o*x**2 + g + h*x + r*x**3 and give r.
30
Express 3575*n - 4038*n - 15982*n as m*n + r and give m.
-16445
Express 2*d**2 - 7522 - 238*d - 7516 - 7527 + 22564 as f*d**2 + v*d + b and give b.
-1
Rearrange (-117*t + 115*t - 107 + 2571)*(-t - 2*t**3 + t) to m*t + r*t**3 + g*t**2 + v + z*t**4 and give r.
-4928
Rearrange -92246555*g + 4*g**2 + 170 + 92246555*g to the form l + d*g**2 + b*g and give l.
170
Rearrange -h**2 - 6646*h - 3 + 3 + 1546*h + 28*h to p*h + z + j*h**2 and give j.
-1
Express (-1717*n**3 + 3762*n**3 - 1790*n**3)*(0*n + 3*n - 5*n) + 4*n**4 - n**4 + 0*n**4 as m*n + t*n**2 + o + w*n**3 + y*n**4 and give y.
-507
Express (-1 - 2*i + 0*i + 8*i)*(-3 + 3 + 2*i) + (-4038 + 4038 + i)*(2 - 2 - 3*i) in the form q + w*i**2 + u*i and give w.
9
Rearrange (271 + 118 - 119)*(168*t - 21 - 211*t - 305*t + 21) to n + k*t and give k.
-93960
Rearrange (x + 4*x - 1 - 4*x)*(-191995*x**2 + 2*x + 2*x + 192096*x**2) to u*x + l*x**3 + b*x**2 + h and give l.
101
Rearrange 4 - 41*g - 4 + g**2 + 43*g - 2 + 14*g**3 + 10*g**3 to b*g**2 + r*g**3 + x + o*g and give x.
-2
Rearrange -151030*d**2 - 151035*d**2 - 35*d + 1 + 302078*d**2 to s*d**2 + a*d + f and give s.
13
Express (3 + 0 - 2)*(-281*n + 281*n + 6*n**3) + 444 - 446 + n**2 + 3*n**2 - n + 4*n**3 as g*n**2 + p*n**3 + u*n + o and give p.
10
Express (3 - 5 + 4)*(3518 + 3500 - 7048 + 36*w) in the form q + k*w and give q.
-60
Express 7*b + 27*b - 5*b + (-3*b - 3*b + 3*b)*(145 - 55 + 139) in the form x*b + y and give x.
-658
Rearrange 8*r**3 - 43*r**3 + 2*r**4 + 3030*r**2 - 2809*r**2 + (1 - 1 - r**3)*(-r - r + 5*r) to the form z + d*r + v*r**4 + q*r**3 + o*r**2 and give v.
-1
Rearrange (-64 - 82*n**2 + 64)*(0*n - n - n) - 180*n + 64*n**3 + 180*n to s*n**2 + r*n**3 + d + p*n and give r.
228
Express v**2 - 8*v**3 + 203*v**4 + 202*v**4 - 3 - 3*v + 207*v**4 - 611*v**4 in the form t*v**4 + n*v + m + x*v**2 + s*v**3 and give x.
1
Rearrange (-d**2 + 9*d**2 + 4*d**2)*(457 - 172 - 17) to x*d**2 + l + h*d and give x.
3216
Express (72 - 23 - 15*v**2 - 60)*(2 - 3 - 1)*(4 - 1 - 1)*(1 - 3*v + 2*v + 3*v) as k*v**2 + r*v**3 + h*v + f and give r.
120
Express (-34*h**3 - 34*h**3 - 18*h**3)*(162*h + 34*h - 318*h) in the form d*h**2 + p*h**3 + o + l*h + t*h**4 and give t.
10492
Rearrange ((0 - 2 + 9)*(-6 + 4 + 5) + 4 - 3 + 1)*(294*u - 181*u + 25*u)*(-4*u + u + u) to the form l*u**2 + f*u + m and give l.
-6348
Express 3 - 4*j - 3 + 0 + 304014 + 149*j - 304014 + (-j + 2*j + 2*j)*(0 + 1 + 1) + 0*j - 2*j + j in the form p + h*j and give h.
150
Express 1243 + 242 + 201500*o - 201499*o in the form w*o + z and give z.
1485
Rearrange -4 + 2 - 3*j + 4 - 6 + 18*j to the form x*j + t and give t.
-4
Rearrange -38*j**3 + 45*j**3 - 13*j + 26*j + 63*j**3 - 14*j to q*j + n + l*j**2 + p*j**3 and give q.
-1
Express (-2*y**2 + 0*y**2 + 18*y**2)*(2 - 1 + 0)*(13 - 22*y - 13) + (-5 + 5 - 3*y)*(0*y**2 - y**2 + 3*y**2) as q*y**3 + p*y + r*y**2 + t and give q.
-358
Express 84*v**3 - 154*v**3 + 2*v**2 + 72*v**3 - v + v**2 + 311 + 2*v as x*v**2 + d + c*v + k*v**3 and give x.
3
Rearrange ((2*o + 0*o - 4*o)*(11 - 15 + 10) + 19 + 7*o - 19)*(-87 + 7*o**3 + 87) to the form k + m*o**4 + y*o + q*o**2 + z*o**3 and give m.
-35
Express 451*b**3 - 443*b**3 + 21*b**2 - 293*b**3 as o*b**3 + n*b**2 + v + u*b and give n.
21
Rearrange (6*i**2 + 5 - 5)*(-66 - 145 - 114)*(i - 3*i - i)*(2 - 3 - 2 - 1) to o + r*i**3 + m*i + t*i**2 and give r.
-23400
Express (-13*i - 11*i + 6*i + (-5*i + 8*i - 2*i)*(-1 + 1 - 2))*(-2*i + 3 - 3) in the form c*i**2 + b + m*i and give c.
40
Rearrange (-2*g + 0*g + 14*g)*(2*g**3 - 4*g**2 + 4*g**2 + (-3*g**2 - g**2 + 3*g**2)*(3 - 3*g - 3)) to the form t*g + b*g**4 + q + j*g**2 + w*g**3 and give b.
60
Rearrange 5117*z + 2870*z - 2116*z to the form g*z + j and give g.
5871
Express 2880 + 5453 - 5*g**2 - 4937 + 2*g**2 in the form j + x*g**2 + z*g and give j.
3396
Rearrange -49 - 41 + 17 + 2 + 6*b + 4 to the form f*b + o and give f.
6
Rearrange (-27*d + 10*d + 22*d)*(-3 + 5 - 3) + d + 4*d + d + (2*d - 2 + 2)*(4 + 1 - 3) to the form i + w*d and give w.
5
Express -d**2 + d**4 + 2 + 985*d + 0 - 987*d + 16*d**3 in the form o*d + w*d**2 + b + p*d**4 + s*d**3 and give b.
2
Rearrange 128*y**3 - 143*y**3 + 85*y**3 + (-2*y**2 + 6*y**2 - 3*y**2)*(1 - 1 + 2*y) - 4 + 4 - 3*y**3 - 2 to c + h*y**3 + j*y**2 + w*y and give c.
-2
Express -s**3 - 2*s**2 + 353*s + 40 - 630*s + 263*s in the form p*s**3 + v + z*s**2 + u*s and give p.
-1
Rearrange -34795100 + 34795100 - 748*s**2 - 4*s to the form n*s**2 + g*s + d and give g.
-4
Express (0*s**2 + 0*s**2 - 2*s**3)*(-4905 + 4352*s + 4905) in the form l*s**4 + j*s**3 + v*s + z + f*s**2 and give l.
-8704
Express (18 + 2*g - 18 + (-4*g + 5*g - 2*g)*(-2 + 0 + 1) - g - g + 4*g)*(-g + 104*g**2 - 463*g**2 + 187*g**2) as a*g**2 + f*g**3 + n + b*g and give f.
-860
Express 45*t**2 - 46*t**2 + 246*t**3 - 25*t - 125*t**3 - 126*t**3 in the form w*t**3 + l*t + s*t**2 + z and give l.
-25
Express (584 + 254 + 31*z + 548 - 306 - 111)*(-2*z + 3*z - 4*z) as k*z + t*z**2 + d and give t.
-93
Rearrange -3 - 4890*p + 3 - 3581*p + 12809*p to x*p + i and give x.
4338
Express 103*f**3 - 684*f + 660*f + 19*f**2 - 105*f**3 as w*f + b*f**2 + v + h*f**3 and give v.
0
Express -6*n + 0*n + 0*n + (-14 + 25 + 15)*(2 + 1 - 2)*(20 + 6*n - 20) | {
"pile_set_name": "DM Mathematics"
} |
-703 - 35. What is the tens digit of c?
8
Let u = 36759 + -14933. What is the tens digit of u?
2
Let m(s) = -2*s**3 - 7*s**2 - 28*s - 103. What is the tens digit of m(-10)?
7
Let x(p) = 6*p**2 + 50*p + 14. Let j(m) = m**2. Let v(q) = -3*j(q) + x(q). What is the tens digit of v(-24)?
4
Let j(t) = 325*t**2 - 2464*t - 63. What is the tens digit of j(19)?
4
Suppose 5*k + 3*o - 915 = -o, 4*k = 2*o + 732. Suppose 27 + 56 = -p + 2*t, -2*t = 6. Let h = k + p. What is the tens digit of h?
9
Suppose -v - 6 = 5*c, -c + 3*c = v + 20. Let j(k) = -2*k - 30. Let z be j(v). Suppose z*q = 5*b + 85 + 34, 5*b - 216 = -3*q. What is the tens digit of q?
6
Suppose 7*b - 5*s = 9*b - 1, -4 = -2*b - 2*s. Suppose b*n + 5*k - 1014 = 901, 5*n - 3245 = 5*k. What is the tens digit of n?
4
Let j(m) = -m**3 - 56*m**2 - 77*m - 89. Let z be (11 - 0)/(8/(-40)). What is the tens digit of j(z)?
2
Let f(x) = 1306*x**3 + 8*x**2 - 22*x - 2. What is the ten thousands digit of f(3)?
3
What is the thousands digit of (12/(-9))/(12 + (-4569704)/380799)?
4
Let q(r) = -4*r**3 - 10*r**2 - r - 76. What is the thousands digit of q(-12)?
5
Suppose 13*n + 5*n - 570507 = -31*n. What is the tens digit of n?
4
Let c = 1 - -3. Let j(u) = -u**2 + 17*u - 13. Let h be j(16). Suppose c*x + 242 = 2*p + x, -6 = h*x. What is the hundreds digit of p?
1
Let f = -8311 - -16402. What is the hundreds digit of f?
0
Suppose -k = -3, 5*y - 9*k - 28 = -10*k. Suppose -y*i - w = -6*w - 35, 2*i - 10 = 4*w. What is the units digit of 2/(-2) + 190 - (-7 + i)?
7
Let b = 19 + -21. Let g = b - -4. Suppose -r + 183 = g*r. What is the units digit of r?
1
Let x = -12821 - -49473. What is the units digit of x?
2
Suppose -3*q - y = -4 + 7, 2*y + 6 = 0. Suppose q*a = -11*a + 198. Let c(g) = 9*g + 47. What is the tens digit of c(a)?
0
Suppose 3*s = -o - 31, 0 = -3*o - 0*o + 2*s - 93. Let j(d) = d**2 + 26*d - 99. What is the units digit of j(o)?
6
Let r(z) = -z - 3. Suppose 1 = -8*p - 71. Let o be r(p). Suppose -522 = -3*f - o*f. What is the tens digit of f?
5
Let p = -883 - -641. Let i = 465 - p. What is the tens digit of i?
0
Suppose -9*j + 7*j + g + 10 = 0, 10 = 3*j + g. Suppose 2*r - 2 = 0, -2*s - 3*r = -j*s + 2755. What is the units digit of s?
9
Let b be (-1648)/40 + 1/5. Let a = -38 - b. Suppose 4*v + 667 = a*c, -v + 1150 = 2*c + 3*c. What is the hundreds digit of c?
2
Suppose -4*m = -11*m. Let x(b) = -b**3 + b**2 - 2*b + 139. What is the tens digit of x(m)?
3
Suppose -30*k = 273 + 27. What is the tens digit of (592 - 58)/(-1 - k/6)?
0
Suppose 15 = 5*j - 0*j. Let z(h) = h + 1. Let t be z(j). Suppose 0*o - 11 = -x - 2*o, 3*x + t*o = 29. What is the units digit of x?
7
Suppose 19*v - 201727 + 32095 = 0. What is the thousands digit of v?
8
Suppose 0 = -10*d + 2*d + 24. Let k(l) = 10*l**2 + 2*l - 2. What is the tens digit of k(d)?
9
Let l = -45 - -40. Let h be 9/15 + 33/l. What is the units digit of h/(-4) + (-444)/(-24)?
0
Let c(b) = b**3 + 43*b**2 + 3*b + 27. What is the tens digit of c(-10)?
9
Let f = -9469 - -16275. What is the thousands digit of f?
6
Let s(c) = -c**2 + 3*c - 9. Let h(r) = -r**3 - 6*r**2 + 5*r - 14. Let j be h(-7). Let g be s(j). What is the hundreds digit of 80*g/(-6) - 2?
1
Let p(w) = 7*w. Let x be p(1). Suppose 12*s = x*s + 5725. Suppose -5*z + 0*z = -s. What is the tens digit of z?
2
Suppose -12*u + 3346 = -974. Suppose 4*z = z + u. What is the units digit of z?
0
Let u = 101 - 102. Let m be u/(-5) - (119/(-5) - 0). What is the units digit of (m/30)/(1/260)?
8
Let u = 110 - 114. Let r(a) = a**3 + 5*a**2 + a - 7. Let l be r(u). Suppose 5*i - 3*q - 1330 = 0, -2*i + i + 244 = -l*q. What is the units digit of i?
9
Suppose -48 = 6*p - 0. Let u be (-1264)/(-14) + p/28. Let m = -18 + u. What is the tens digit of m?
7
Suppose -2*q - 2158 = 3*f - 4*f, 8 = -4*f. Let y = 1926 + q. What is the tens digit of y?
4
Let t(z) be the third derivative of 7*z**5/15 - z**4 + 3*z**3/2 + 267*z**2. What is the hundreds digit of t(4)?
3
Suppose -3*o - 28536 = -g, -2*g + 2*o + 84477 - 27385 = 0. What is the thousands digit of g?
8
Suppose 26*r = 22*r - 4520. Let u = -527 - r. What is the hundreds digit of u?
6
Suppose 27744 = 75*m - 63*m. What is the units digit of m?
2
Suppose -m - 5*g = -397, 2*m + 103*g - 106*g = 755. What is the units digit of m?
2
Let m(z) = 2 + 8*z**2 - z + 0 + 4*z - z. Suppose 13 = 5*l - h - 4, 4*h + 20 = 4*l. What is the units digit of m(l)?
0
Let z(a) = 8*a**2 + 2*a + 36. Suppose -5*t + 39 = -4*r, 10*r - 13*r - 53 = t. What is the thousands digit of z(r)?
2
Let i = -19162 + 37510. What is the units digit of i?
8
Let n(y) = 1245*y**2 - 16*y - 17. Suppose -35*q - 62 = -27. What is the hundreds digit of n(q)?
2
Let o be 96/528 + (0 - 171/33). Let h(d) = -3*d**2 - d. Let k be h(-1). What is the units digit of k/o - (-2322)/45?
2
Let m(q) = -6*q**3 + 22*q**2 - 42*q + 3. Let u(t) = -5*t**3 + 22*t**2 - 43*t + 3. Let p(a) = -6*m(a) + 7*u(a). What is the units digit of p(-24)?
7
Let v = 58786 - 25174. What is the hundreds digit of v?
6
Let k(i) = i**3 + 53*i**2 - 263*i + 79. What is the units digit of k(-56)?
9
Suppose -157*x + 148*x = -328518. What is the units digit of x?
2
Suppose 21*u + 815664 = 50*u - 5*u. What is the hundreds digit of u?
9
Let m be (-8)/(1/((-3)/6)). Suppose -m*q + b + 1685 = 0, -q + 4*b = 3*q - 1688. Suppose w + 2*u = 89, w - 6*w + 2*u + q = 0. What is the tens digit of w?
8
Let r = -429 + 434. Suppose -r*k + 7679 = 2704. What is the hundreds digit of k?
9
Suppose 3*o + 44520 = b, -5*o - 35741 = -b + 8771. What is the hundreds digit of b?
5
Let h = 98 - 91. Suppose -h*l + 871 = -2482. What is the hundreds digit of l?
4
What is the thousands digit of ((-12)/10)/(6 - (-1272060)/(-97850) - -7)?
1
Let m(b) be the first derivative of 2*b**3/3 - 15*b**2 + 23*b + 20. Let t(o) be the first derivative of m(o). What is the tens digit of t(17)?
3
Let g = -377 + 1437. Suppose -7*n + 305 = -g. What is the units digit of n?
5
Let t(q) = q**3 + 12*q**2 + 2*q + 24. Let l be t(-12). Suppose l*o - 2*o + 5*g + 15 = 0, o = -2*g + 30. What is the units digit of o?
0
Let c = -113 - -112. What is the tens digit of 1/((c/(-44))/(143/22))?
8
Suppose 9*l = 42*l + 8*l - 329804. What is the units digit of l?
4
Let n(t) = 437*t + 86. Let u be n(-40). What is the units digit of (-126)/294 + u/(-14)?
2
Let g(n) = 4*n + 58. Let b be g(0). Let i = b + 0. What is the units digit of 5/(15/6)*i?
6
Let b(j) = -j**3 - 14*j**2 - 15*j + 8. Let c be b(-13). Suppose -92 - c = 2*h. What is the tens digit of (3 + (-10)/(-5))*h/(-5)?
6
What is the tens digit of (1018/4 + 1)/((-2)/(-192)*48)?
1
Let z be 7/(-14)*(1 - 7) - 1. Suppose -z - 558 = -10*r. Suppose -5*m - 51 + r = 0. What is the units digit of m?
1
What is the tens digit of 466/((-302)/102 - -3)?
8
What is the hundreds digit of 8*(684 - (-10 + 5)*1)*1?
5
Let z(f) = -3*f**3 + 11*f**2 + 3*f + 1. Let k be z(9). Let d = 1828 + k. Suppose d = -7*c + 9*c. What is the tens digit of c?
8
Let y = 71 + -22. Let x = y - -111. What is the tens digit of x?
6
Let p(s) = 87*s**2 - 9*s + 452. What is the thousands digit of p(6)?
3
Let i = 207 - 193. What is the units digit of (i/4)/(3/84)?
8
Suppose 5*z - 4*x = -9*x + 90860, 0 = 4*z + 3*x - 72685. What is the units digit of z?
9
Suppose 61*b - 59*b - x = 20489, 3*b + 3*x - 30747 = 0. What is the thousands digit of b?
0
Let r(i) = 858*i + 4504. What is the units digit of r(22)?
0
Let q(k) = 4*k**2 + 20*k + 31. Let t be q(-10). Suppose 5*v + 9 - 101 = -m, 0 = m + 3. Suppose -v*i + t = -16*i. What is the tens digit of i?
7
What is the hundreds digit of (-8)/40 - 25201/(-55)?
4
Suppose 2*x - 24 = -8. Suppose -1008 = -x*s + 1848. Suppose -2*o + s = 2*n + 85, -5*o + 680 = -n. What is the hundreds digit of o?
1
Let y(m) = -26*m**3 + 3*m - 13. Let g be 52/(-6) + 4 - 5/(-3). What is the hundreds digit of y(g)?
6
Let o(z) = -z**3 + 56*z**2 - 40*z + 319. What is the thousands digit of o(50)?
3
Let l be (-25 - (-2 - 2))/(-1). Let b(m) = -2*m + 4*m - m - 3*m + l. What is the units digit of b(-9)?
9
What is the units digit of 31519/19 + (-90)/(-855)?
9
Suppose 4*z - 67 = 3*n, -2*z = -5*n - 39 - 12. Suppose -5*j - 3*q = -2005, -z*j - q - 791 = -15*j. What is the hundreds digit of j?
3
What is the hundreds digit of -9 + (3220 - (-12 + 5))?
2
Let b(i | {
"pile_set_name": "DM Mathematics"
} |
. What is the hundreds digit of 2*(-1133)/(-8) + 25/i?
2
Let q(p) = p**2 + 22*p - 29. Let z be q(-23). Let w(i) = i**2 + 3. Let u be w(z). Suppose -65 = -4*x + u. What is the tens digit of x?
2
Suppose v + 3*x - 929 = 0, 3*v + 9*x - 2769 = 6*x. Suppose v = 3*y + 17*y. What is the units digit of y?
6
Suppose 0 = -35*z + 43*z + 47*z - 2290695. What is the units digit of z?
9
Let h = -6274 - -42864. What is the hundreds digit of h?
5
Let l(g) = 2*g**3 - 7*g + 8. Let q be l(3). What is the tens digit of q*(-2)/(-4)*168/6?
7
Let r be (-32 + 2)*(-165)/75. Suppose 69*z - r*z - 1590 = 0. What is the hundreds digit of z?
5
Let s = -86 + 144. Let n = s - 55. Suppose 2*x - 4*x + o = -405, -o + 620 = n*x. What is the tens digit of x?
0
Let q(w) = 6*w**2 + 172*w + 14. What is the thousands digit of q(20)?
5
What is the tens digit of (1 - (-2)/4)/(-26 - 240653672/(-9255904))?
4
What is the units digit of (-28 + 15 + 12083)*2?
0
Let t be (1746/(-30) - -5)/(1/(-5)). Suppose -6*s = -286 - t. What is the tens digit of s?
9
Suppose 4*q - 2*y = -2012, 4*q + 4*y + 697 + 1327 = 0. Let v = 1104 + q. What is the units digit of v?
0
Let b = -11077 + 19716. Suppose -14*t + 9225 = -b. What is the tens digit of t?
7
Let v = -145 - -77. What is the hundreds digit of (v/(-6))/(3/54)?
2
Let s be -278*-1*6/12. Suppose -s*w + 350 = -137*w. What is the units digit of w?
5
Suppose -6*u + 3120 = -426. What is the units digit of u?
1
Suppose 5*r + 63 = -4*y, 2*r - 3*r - 5*y = 0. Let i(w) be the first derivative of -w**3/3 - 11*w**2 - 11*w - 4. What is the units digit of i(r)?
4
Let g = 12835 - 8910. What is the tens digit of 0/(28/7) + g/5?
8
Suppose 19*y - 8063 + 1546 = 1634. What is the hundreds digit of y?
4
Let j(i) be the third derivative of i**5/15 + 11*i**4/6 + i**3/6 - 34*i**2. Let s(b) be the first derivative of j(b). What is the tens digit of s(16)?
7
Let m(i) = -9*i - 149. Let y be m(4). Let z(d) = 73*d - 5. Let k be z(5). Let x = y + k. What is the units digit of x?
5
Let i(b) = b**2 - 17*b - 1. Let t(l) = -l**2. Let y(j) = -i(j) - 2*t(j). Let r = 76 - 69. What is the hundreds digit of y(r)?
1
Suppose -5*f + 4*f + 830433 = 18*f. What is the ten thousands digit of f?
4
Let f = 19790 - 8477. What is the tens digit of f?
1
Let q(j) = 1150*j - 3919. What is the tens digit of q(12)?
8
Suppose 0 = 6*r - 6637 - 24395. What is the units digit of r?
2
Let m = -384 + 221. What is the hundreds digit of (4/(-10)*m)/((-2)/(-10))?
3
Let i = 25 + 23. Suppose -b = 4*b + r - i, -4*r + 12 = 0. What is the tens digit of 6/(-9) + 1104/b?
2
Let d(y) = 3*y**3 + 10*y**2 + 8*y - 3. Let k be d(8). Suppose 6017 = 10*w + k. Suppose 5*x - w = 182. What is the units digit of x?
2
Suppose -10*z + 2227 = -7*z + 5*n, 0 = n + 1. Suppose -o - 5*j = -730, 5*o - z = 4*o + 2*j. What is the hundreds digit of o?
7
Let z = 22 - 18. Let m be (-24)/(1 - 4)*2/z. What is the units digit of 2*2 + (m - -7)?
5
Let a(h) = -1. Let l(y) = y - 25. Let s(w) = a(w) - l(w). Let n be s(21). What is the units digit of ((-74)/3)/((-1)/n)?
4
Let n(t) = 194*t**2 + 13*t + 154. What is the ten thousands digit of n(-8)?
1
Let r be (12/30)/(4/40). Suppose 5*v = 3*p + 1451, 4*v - 1156 - 8 = r*p. What is the tens digit of v?
8
Let i = 50 + -110. Let x = i - -285. What is the hundreds digit of x?
2
Let h be 0 + 416/2 - 1. Suppose 123*u - 127*u = 3*j - 104, u - 107 = -3*j. Suppose 0 = j*c - 27*c - h. What is the tens digit of c?
2
What is the hundreds digit of (26/(-13))/((42/36484)/((-9)/4))?
9
Let a = -312 + 1018. Let p = a - 324. What is the hundreds digit of p?
3
Let t be (-4)/(-3 - (-510)/168). Let q be 5/10 + (-1 - (-405)/(-2)). Let y = t - q. What is the units digit of y?
1
Let a(n) = 32*n**3 + 2*n**2 - 70*n + 86. What is the tens digit of a(7)?
7
Suppose 166*w + 150612 = 178*w. What is the thousands digit of w?
2
Suppose -2*g + 16 = -158. Suppose 5*c = -2*i + 63 + 82, -3*c = i - g. What is the tens digit of 2/(-2) - -5*c?
4
Let a be 209/(-5) - (112/35 - 3). Let q = a + 22. Let r(v) = v**2 + 12*v - 12. What is the hundreds digit of r(q)?
1
Let y = -486 - -421. What is the hundreds digit of 6298/6 + (y/(-15) - 4)?
0
Let d be (-17)/(-4) + 1/(-4). Suppose d*j + 4*s + 500 = 2160, 0 = 4*j - 3*s - 1688. What is the hundreds digit of j?
4
Let n be 0/(-2 + 0) - (0 - 4). Suppose -3*q = 5*b, n*b + 2 = -10. Suppose -2*h - g = -11 - 12, -65 = -q*h + 5*g. What is the tens digit of h?
1
Let b(u) = -12*u**3 - 11*u**2 + 2*u + 100. What is the units digit of b(-13)?
9
Let w(m) = 15*m - 1. Let g be w(-1). Let x be (-6)/(((-8)/(-30))/(g/40)). What is the tens digit of 961/9 - (-2)/x?
0
Suppose 566600 = 13*w - w + 38*w. What is the tens digit of w?
3
Let c be 4/8*(4 - (-3 - 5429)). Let q = -1385 + c. What is the thousands digit of q?
1
Let r be (-2)/((6/8)/((-27)/24)). Suppose -7*q + 2920 = -r*q. What is the hundreds digit of q?
7
Suppose -37 = -12*l - 109. What is the units digit of ((-814)/l)/((-1)/(-3))?
7
What is the tens digit of (-5061 + -2)/(8/(-40)*5)?
6
What is the tens digit of (18 + 169579/(-69))/((-1)/3)?
1
Let i = 10432 + 500. What is the hundreds digit of i?
9
Suppose -3*w = 2*w - 15, -2*w + 24651 = 3*n. What is the thousands digit of n?
8
Let p(d) = -63*d - 5. Let w be 20/25*(0 - 5). Let k be p(w). Let r = k - 174. What is the tens digit of r?
7
Let f be ((-130)/(-25) - 4)*(-266 - -1). Let y = f - -456. What is the tens digit of y?
3
What is the units digit of ((-3153)/(-1))/(2*(-25)/(-50))?
3
Let t = 1589 - -8952. What is the hundreds digit of t?
5
What is the hundreds digit of (-20)/140 - (-457520)/49?
3
Suppose 9*x - 22 - 5 = 0. Suppose 5*g - 67 = -x*q, 4*g = -3*q + 2*g + 79. Let i = q - 25. What is the units digit of i?
4
Let b be (-310)/(-4) - (-14)/(-11 + -17). What is the tens digit of (-42)/(-4)*-30*(-44)/b?
8
Suppose -f = 3*s - 1270, s - 138 = f - 1424. Suppose 5*j - f = -2*t, -3*j + 4*j + 5*t - 261 = 0. What is the tens digit of j?
5
Suppose 4*r = 5*d + 5500, r - 3*d - 1019 = 349. Suppose 27*q - r = 21*q. What is the hundreds digit of q?
2
Let t(l) = 2355*l - 63. What is the units digit of t(16)?
7
Let a(h) be the second derivative of 5*h**4/3 - h**3 - 5*h**2/2 - 32*h. What is the units digit of a(-2)?
7
Let p(m) = 12*m**2 - 138*m - 2566. What is the hundreds digit of p(-39)?
0
What is the tens digit of (70/42)/(2 - 7035/3519)?
5
Let z(b) = -b**3 + 7*b**2 + 9*b + 6. Let i be z(8). Suppose -16*l + i - 62 = 0. What is the hundreds digit of ((l - 34)/1)/(2/(-6))?
1
Let b(g) = 59*g**3 + 36 + 18*g**2 - 8 - 60*g**3 + 34*g. What is the thousands digit of b(16)?
1
Suppose z = -z + 3*o - 600, 0 = 5*o. Let d = z - -781. What is the tens digit of d?
8
Let o(y) = -3*y - 74. Let t be o(-6). What is the hundreds digit of (-287)/t - 5 - (-3527)/8?
4
Let y(m) = -528*m**3 + 5*m**2 + 9*m + 2. What is the tens digit of y(-2)?
2
Let v = 49 - 40. Let t be (16 - v)*12/(-14). Let w(b) = 3*b**2 + 15*b + 6. What is the tens digit of w(t)?
2
Let v(p) = 11*p**2 + 31*p + 27. Let u be v(-1). Let x(n) = -5*n**3 - 11*n + n**3 - 4*n**2 + 13 + 5*n**3. What is the units digit of x(u)?
3
Let i be 2/(-9) - (-184184)/198. What is the hundreds digit of (-6)/(-12)*i - 4?
4
Let j be (80/10 - 9)*(-12 + 1). Suppose 2347 + 3010 = j*v. What is the units digit of v?
7
Let p be 19 + 0 + -12 + 16. Suppose 0 = p*h - 11*h - 2580. What is the hundreds digit of h?
2
Suppose 0 = -14*t + 19*t - 20605. Suppose -22*u = -10303 + t. What is the hundreds digit of u?
2
Let z be (-4)/(-8)*-1*(3 + -3). Suppose 4*p + 358 + 526 = z. What is the tens digit of 7/(-14)*1 - p/2?
1
What is the units digit of -9 + (-317 + -11)*-62?
7
Let u = 444 + -66. Suppose 2*g = -7*g + u. What is the tens digit of g?
4
Let c(l) = 78*l + 41. Let z(m) = -57 + 30 - 14*m - 38*m. Let n(j) = -5*c(j) - 8*z(j). What is the tens digit of n(3)?
8
Suppose 518 = -10*a + 2808. Let x = 559 - a. What is the hundreds digit of x?
3
Let j(l) = -27353*l - 360. What is the hundreds digit of j(-2)?
3
Suppose 3222 = 3*x - 1785. Suppose -5*y - 4 + x = 0. What is the tens digit of y?
3
Suppose -10 + 25 = 5*y, -3749 = -4*a + 5*y. What is the hundreds digit of a?
9
Let o be -48 - (92/28 + 6/(-21)). Let h = o + 55. Suppose -h*c = 2*s - 108, -99 = -3*s + s + 5*c. What is the tens digit of s?
5
Let b be (2/4)/(2/96). Let q be | {
"pile_set_name": "DM Mathematics"
} |
97825?
5, 9147913
List the prime factors of 49508250.
2, 3, 5, 11, 17, 353
What are the prime factors of 350357731?
350357731
List the prime factors of 626619617.
13, 29, 1662121
What are the prime factors of 1946319605?
5, 191, 2038031
What are the prime factors of 2861832186?
2, 3, 739, 215143
What are the prime factors of 162666495?
3, 5, 1204937
What are the prime factors of 1096000?
2, 5, 137
List the prime factors of 945183599.
59, 16020061
List the prime factors of 2103803704.
2, 262975463
What are the prime factors of 6963995307?
3, 2321331769
List the prime factors of 3230988417.
3, 358998713
What are the prime factors of 499368777?
3, 29, 331, 17341
List the prime factors of 146133142.
2, 19, 1051, 3659
What are the prime factors of 18681181?
17, 739, 1487
List the prime factors of 238647986.
2, 127, 631, 1489
List the prime factors of 675817569.
3, 7, 557, 19259
What are the prime factors of 760213174?
2, 7, 17, 37, 131, 659
List the prime factors of 66582670.
2, 5, 7, 11, 1123
List the prime factors of 81641282.
2, 2411, 16931
What are the prime factors of 2497671988?
2, 7, 211, 422761
What are the prime factors of 80455588?
2, 197, 102101
List the prime factors of 1142433035.
5, 228486607
What are the prime factors of 339393858?
2, 3, 103, 233, 2357
List the prime factors of 43126244.
2, 7, 1540223
List the prime factors of 444098596.
2, 3221, 34469
List the prime factors of 47267005.
5, 9453401
What are the prime factors of 37248380?
2, 5, 13, 143263
What are the prime factors of 101750465?
5, 20350093
List the prime factors of 1258782684.
2, 3, 104898557
What are the prime factors of 480347440?
2, 5, 6004343
List the prime factors of 181305277.
19, 9542383
What are the prime factors of 3718016451?
3, 47, 2929879
List the prime factors of 1779408873.
3, 11, 617, 29131
List the prime factors of 4949965627.
107, 46261361
List the prime factors of 306358274.
2, 1019, 150323
List the prime factors of 73525314.
2, 3, 103, 118973
What are the prime factors of 212104153?
13613, 15581
List the prime factors of 40144200.
2, 3, 5, 23, 2909
What are the prime factors of 126919912?
2, 7, 2266427
What are the prime factors of 1569312930?
2, 3, 5, 3001, 17431
What are the prime factors of 62156266?
2, 619, 50207
List the prime factors of 79765.
5, 7, 43, 53
What are the prime factors of 1395718259?
13, 383, 280321
List the prime factors of 196841092.
2, 7, 7030039
List the prime factors of 878440963.
878440963
What are the prime factors of 238131453?
3, 7, 11339593
List the prime factors of 101821637.
211, 653, 739
List the prime factors of 1817015967.
3, 13, 29, 61, 8779
What are the prime factors of 2655459372?
2, 3, 221288281
List the prime factors of 200809046.
2, 100404523
List the prime factors of 1295198669.
17, 19, 857, 4679
What are the prime factors of 151551359?
47, 3224497
List the prime factors of 49960623.
3, 23, 31, 23357
List the prime factors of 7519526775.
3, 5, 157, 212867
What are the prime factors of 300895855?
5, 13, 4629167
List the prime factors of 3534359347.
17, 19, 257, 42577
List the prime factors of 139350757.
7, 13, 218761
What are the prime factors of 316561905?
3, 5, 11, 213173
List the prime factors of 458078350.
2, 5, 23, 379, 1051
What are the prime factors of 415066207?
103, 829, 4861
List the prime factors of 254335104.
2, 3, 23, 29, 331
List the prime factors of 60420063.
3, 11, 1830911
What are the prime factors of 219919930?
2, 5, 21991993
What are the prime factors of 166294341?
3, 191, 96739
What are the prime factors of 78680331?
3, 8742259
List the prime factors of 178751105.
5, 13, 47, 58511
List the prime factors of 117996205.
5, 23599241
List the prime factors of 754396604.
2, 13, 29, 151, 3313
What are the prime factors of 1438292?
2, 103, 3491
List the prime factors of 11914450.
2, 5, 17, 107, 131
List the prime factors of 8471475919.
8471475919
What are the prime factors of 1410927489?
3, 2833, 55337
List the prime factors of 22878117.
3, 71, 35803
What are the prime factors of 3289656663?
3, 365517407
What are the prime factors of 517544167?
7, 89, 830729
What are the prime factors of 259184584?
2, 17, 101, 18869
What are the prime factors of 2063198042?
2, 881, 1170941
List the prime factors of 210590380.
2, 5, 7, 11, 13, 67, 157
List the prime factors of 1881198775.
5, 59, 353, 3613
List the prime factors of 931777649.
11, 84707059
What are the prime factors of 4271331?
3, 139, 10243
List the prime factors of 4773792449.
109, 43796261
List the prime factors of 622658330.
2, 5, 7, 433, 20543
What are the prime factors of 449826452?
2, 1627, 69119
What are the prime factors of 70549333?
70549333
What are the prime factors of 1663578796?
2, 11, 37808609
List the prime factors of 109627477.
67, 1636231
What are the prime factors of 839695314?
2, 3, 17, 43, 191449
What are the prime factors of 93925463?
59, 197, 8081
List the prime factors of 60712486.
2, 19, 29, 37, 1489
List the prime factors of 36705729.
3, 59, 207377
List the prime factors of 38331556.
2, 37, 41, 6317
What are the prime factors of 156165370?
2, 5, 19, 173, 4751
What are the prime factors of 252917447?
229, 641, 1723
List the prime factors of 914809692.
2, 3, 43, 47, 67, 563
List the prime factors of 384761414.
2, 251, 766457
List the prime factors of 1832760273.
3, 19, 613, 52453
What are the prime factors of 47182792?
2, 5897849
What are the prime factors of 322244616?
2, 3, 2411, 5569
List the prime factors of 48523719.
3, 16174573
What are the prime factors of 764855877?
3, 313, 814543
List the prime factors of 301138467.
3, 7, 19, 137, 787
What are the prime factors of 3921980916?
2, 3, 7, 46690249
What are the prime factors of 115610071?
115610071
What are the prime factors of 1450528930?
2, 5, 145052893
List the prime factors of 421623222.
2, 3, 17, 4133561
What are the prime factors of 17440621?
11, 41, 38671
List the prime factors of 4172533216.
2, 37, 3524099
What are the prime factors of 22436898?
2, 3, 11, 61, 5573
List the prime factors of 4341543653.
67, 139, 466181
What are the prime factors of 57099539?
7, 8157077
What are the prime factors of 584035435?
5, 23, 293, 17333
List the prime factors of 71275656.
2, 3, 577, 5147
List the prime factors of 83956508.
2, 29, 199, 3637
What are the prime factors of 203299386?
2, 3, 37, 915763
What are the prime factors of 1457518249?
11, 2207, 60037
List the prime factors of 138312597.
3, 137, 336527
List the prime factors of 206812370.
2, 5, 43, 480959
List the prime factors of 331833789.
3, 7, 331, 15913
What are the prime factors of 89716362?
2, 3, 353, 42359
What are the prime factors of 183011237?
67, 2731511
What are the prime factors of 1097426958?
2, 3, 73, 2505541
What are the prime factors of 2531536198?
2, 17, 31, 79, 30403
List the prime factors of 300828084.
2, 3, 25069007
List the prime factors of 435024884.
2, 7, 15536603
List the prime factors of 2443180113.
3, 11, 19, 61, 107, 199
List the prime factors of 26425171.
26425171
List the prime factors of 218650490.
2, 5, 907, 24107
What are the prime factors of 67846832?
2, 109, 38903
List the prime factors of 118384723.
118384723
List the prime factors of 359940364.
2, 7, 12855013
What are the prime factors of 525702318?
2, 3, 71, 103, 11981
What are the prime factors of 318928207?
13, 89, 275651
What are the prime factors of 63302881?
659, 96059
List the prime factors of 1919166541.
89, 521, 41389
What are the prime factors of 93666202?
2, 7, 1973, 3391
What are the prime factors of 195771483?
3, 113, 192499
What are the prime factors of 693128592?
2, 3, 13, 370261
What are the prime factors of 50115034?
2, 31, 808307
List the prime factors of 188476375.
5, 23, 65557
List the prime factors of 54315629.
17, 3195037
What are the prime factors of 58727746?
2, 7, 11, 19, 20071
What are the prime factors of 5313388978?
2, 2656694489
List the prime factors of 332476101.
3, 36941789
List the prime factors of 281818630.
2, 5, 28181863
List the prime factors of 37684142.
2, 18842071
List the prime factors of 123525221.
123525221
What are the prime factors of 23495516?
2, 11, 533989
What are the prime factors of 370932714?
2, 3, 3491, 5903
What are the prime factors of 35212884?
2, 3, 7, 419201
What are the prim | {
"pile_set_name": "DM Mathematics"
} |
olve 2*o - 4*y - 14 = 0, -5*o - 5*y = -2*y + 4 for o.
1
Solve -2*v - 4 = 3*a - v, 5*a + 2 = 3*v for a.
-1
Solve 4*u + 2*g + 22 = 0, 2*u + 0*u - g + 5 = 0 for u.
-4
Solve 0 = 2*t - 6, 0*h + 2*h + 11 = 5*t for h.
2
Solve 3*y - 2*y = -d + 4, 3*d = 0 for y.
4
Solve -10 = 3*r + 2*b, -r + 2*r + 1 = -3*b for r.
-4
Solve 27 = 2*j - 3*d, -2*j + 24 = -8*d + 6*d for j.
9
Solve -4*b = 5*x - 3, 0 = 18*x - 13*x - 2*b - 21 for x.
3
Solve -2*c + j + 3 = 0, 3*c + 3*j + 9 = -0*j for c.
0
Solve x + 4*j - 41 = -4*x, 5 = 5*x - 5*j for x.
5
Solve 0 = y + 4*w + 29, -18*y - 22 = -17*y + 3*w for y.
-1
Solve 10*x - 4 = 5*x + n, -5*x - 2*n - 8 = 0 for x.
0
Solve -2*u + 5*u + 2*q = 23, 4*u = -3*q + 32 for u.
5
Solve -11 = f - 2*o - 8, -4 = 2*f - 3*o for f.
1
Solve -7 = -l + 2*a, 384*l = 379*l + 3*a for l.
-3
Solve -l - f - 2 = 0, 63 = -2*f + 53 for l.
3
Solve -8*a + 6*a - 2*c = -8, 0 = 4*a - 2*c - 22 for a.
5
Solve 0 = -n - 3*b + 9, 5*n + 9*b - 4*b - 5 = 0 for n.
-3
Solve -3*g + 2*m = m + 12, -3*m + 6 = -3*g for g.
-5
Solve -5*v = 5*q - 0*q - 10, -2*v = -4*q + 14 for q.
3
Solve 3*w - 2*n = -0*n - 14, -5*w + 2*n - 22 = 0 for w.
-4
Solve 2*f - 7*f - 20 = 0, 2*h + f + 12 = 0 for h.
-4
Solve 7*b - 28 = -4*o + 5*b, b - 4 = 0 for o.
5
Solve -p + 3 = k, -5*k + 2*k + 4*p = -9 for k.
3
Solve 0 = 3*f + u + 1, -13 = -40*f + 35*f + 2*u for f.
1
Solve 0 = -3*k + 4*k - 5*y - 16, -2*k - 24 = 4*y for k.
-4
Solve -3*v - 5*k = -8, 2*k - 16 = -2*k for v.
-4
Solve -2*l + 13 = -4*l + 5*k, 3*k = 3 for l.
-4
Solve -l + 3*a = 4*a + 2, 4*l + 3*a = -4 for l.
2
Solve -2*k + 14 = 4*p, 4*k = 9*p - 8*p + 1 for k.
1
Solve 0 = x + 3*h - 4, 34*x - 12 = 31*x + 5*h for x.
4
Solve -g - 7 + 1 = -2*l, 0 = 3*g - 6 for l.
4
Solve -61*g = -58*g - 2*j + 13, 0 = 3*g + 3*j - 12 for g.
-1
Solve -h + 5*h = -3*x - 1, x = -4*h + 5 for h.
2
Solve 5*z + 11 = 4*j, j = -0*z + 2*z + 5 for z.
-3
Solve -u = 0, -5*z = -z - 2*u - 16 for z.
4
Solve -6 + 56 = 5*h - 5*p, 0 = -4*h - p + 15 for h.
5
Solve 0 = 5*h, -5*z + 8*h = 12*h + 25 for z.
-5
Solve -2*r + 5*i + 15 = 0, -3*i - 3 = 4*r - 2*i for r.
0
Solve -5*p - f + 20 = 0, 52*p = 57*p - 5*f + 10 for p.
3
Solve -n - 6*q = 25, q + 30 = -4*n + 9*n for n.
5
Solve z = -14*t + 15*t - 7, 5*z - 1 = -t for z.
-1
Solve 16 = 4*w, 6 = -6*p + 4*p + w for p.
-1
Solve -9 + 10 = 2*a - 5*v, 5*v = a - 3 for a.
-2
Solve -4*z + 7*z + 18 = 3*i, 4*z - 2*i + 12 = 0 for z.
0
Solve -s + 7 = -2*l + 7*l, 4*s + 12 = 0 for l.
2
Solve -i - 3 = 5*r, 4*i = -2*r + 7*i - 8 for r.
-1
Solve 18*s - 5 = -2*q + 17*s, 4*s = -q - 15 for q.
5
Solve -4*b - 36 = 16*q - 21*q, -3*b = -5*q + 32 for b.
-4
Solve -w = -q - 1, q - 5*q + 3*w - 3 = 0 for q.
0
Solve -5*d = 2*r - 9, 2*d = r + 2*r + 15 for r.
-3
Solve -3*q + 5*k + 5 = 0, -35*k - 5 = q - 40*k for q.
5
Solve -2*g = c - 1, -3*c = 3*g - 129 + 123 for g.
-1
Solve 94*m - 91*m + 19 = 5*a, 4*m - 3 = a for a.
5
Solve -4*s = 4*r - 40, -4*s = r - 2*s - 15 for r.
5
Solve -p - 4*p = 2*j + 3, -2 = 3*p + j for p.
-1
Solve 0 = u - 3*x + x - 4, 8 = 2*u + 4*x for u.
4
Solve 15 = n + 5*w, -15*n = -17*n + 2*w - 18 for n.
-5
Solve 5*h = 2*q + 6, -5*q = 26*h - 31*h + 15 for q.
-3
Solve 0 = -5*t, 3*p - 3*t - 7 = 8 for p.
5
Solve -2*b - 10 = 0, -2*l + b + 9 + 0 = 0 for l.
2
Solve -3*w - 3*x = 3, -26*x + 29*x = -2*w + 2 for w.
-5
Solve 0 = 3*w + 2*w - 3*a - 30, 0 = -5*w - 4*a - 5 for w.
3
Solve 0 = -5*w + 12*a - 15*a - 2, 3*a = 5*w + 8 for w.
-1
Solve 2*k + 0*k - 6 = 0, -t + 2*k = 2 for t.
4
Solve 5*w + z = -6, 6*z + 24 = 4*w - 12 for w.
0
Solve 0 = v + 3*c + 8, -v - 14 = 3*c + 2*c for v.
1
Solve 0 = -3*q - g + 7, -q - 2*q + 11 = 5*g for q.
2
Solve 3*i = -149*n + 147*n + 11, -5*n = -4*i - 16 for i.
1
Solve 24 = -4*r - 3*x, -5*r + 15*x = 12*x + 3 for r.
-3
Solve 0 = -5*s + 268*h - 271*h + 2, -3*s + 4*h = -7 for s.
1
Solve 4*v - 2*z - 2 = 0, -4*v + 10 + 12 = 2*z for v.
3
Solve 4*l = -g + 1, 3*l + 4*g - 7 - 10 = 0 for l.
-1
Solve -l - p = -2, 2*l + p - 6 = -3*l for l.
1
Solve -4*k + 4*p - 20 = 0, 4*k + 66*p = 69*p - 21 for k.
-6
Solve 5*g - 7*u - 19 = -11*u, -4*u - 2 = -2*g for g.
3
Solve -2*a = 3*v - 18, 11 = 5*v - 18*a + 15*a for v.
4
Solve 0 = c - 2*y - 7 + 6, -y + 4 = c for c.
3
Solve -2*t = 5*l - 1, 8 = -6*t + 2*t for l.
1
Solve -3*x - 5*n - 40 = 0, -3 = 4*x - 3*n + 2 for x.
-5
Solve 5*l = 4*i + 19 + 1, -3*i + 2*l - 15 = 0 for i.
-5
Solve -3*h + 5*o + 27 = 0, -14*h + 10*h = 3*o - 7 for h.
4
Solve -5*p = 12*q - 9*q + 14, 0 = 4*p - 5*q + 26 for p.
-4
Solve 4*l + 24 = i - 0*i, -6 = l - 5*i for l.
-6
Solve r + 2*z - 6 = -0, 4*z = 16 for r.
-2
Solve -2*i = -i + k, 0 = -3*i - 2*k - 2 for i.
-2
Solve -4*w = 4*n - 4, -2 = n - w + 5*w for n.
2
Solve -4*g = -b - 2, -3*b = 15*g - 11*g - 10 for g.
1
Solve -38*a + 3 = -37*a + u, 2*a - 3*u = -19 for a.
-2
Solve 0 = -4*u + 4, 0 = -0*f - 3*f - 4*u + 1 for f.
-1
Solve -5*x - 8 = -2*b - b, 2*b = -5*x - 28 for b.
-4
Solve s - 4*a = 2, -4*s - 5*a = -0*s - 8 for s.
2
Solve -3 = 5*j + 4*x, 5*j - 4*x + 0 - 13 = 0 for j.
1
Solve 0 = 2*u + 3*i, 18 = 5*u - i + 35 for u.
-3
Solve o = -2*i + 5, 3*o - 3*i + 4 = 10 for o.
3
Solve -5*y + 24 = -3*q + 2*q, 0 = 2*y + 3*q + 4 for y.
4
Solve -q + 36*v - 33*v = 6, -5*q - 7 = 8*v for q.
-3
Solve 0 = 2*g, 4*v = 5*v - 3*g for v.
0
Solve 0 = 3*h + 3*n, 4*n + 1 + 5 = 2*h for h.
1
Solve 16*c - 20*c = 4*l - 12, l = -2*c + 3 for l.
3
Solve -n + 3*u = -1, -2*n = u - 3*u - 2 for n.
1
Solve -4*m - h + 20 = 0, 3 = -m + 4*h - 9 for m.
4
Solve 6 = 2*f, -2*q - 2*q = -5*f + 31 for q.
-4
Solve -b - 24 = 5*j, -j - 11 = 4*b + 2*j for b.
1
Solve 4*a + 20 = 4*j, a + 14 - 1 = 5*j for j.
2
Solve 16*f + u = 15*f - 2, 4*f + 2*u + 12 = 0 for f.
-4
Solve 3*s = 4*l + 8, 3*l + 6 = -s - 0 for l.
-2
Solve -5 = -a - 15*t + 9*t, -2*a - t = -10 for a.
5
Solve -2*v - 2 = -x - 3, 4*v = 4 for x.
1
Solve -2*n + 4*r - 3 = 3, 4*r = 12 for n.
3
Solve -w + g + 1 = 0, -6 = -2*w - 3*g - 14 for w.
-1
Solve 12 = -2*l - 4*k, -415*l + 419*l - 5*k = 41 for l.
4
Solve -7 = 2*g - 5*g - 4*c, -c = 2*g + 2 for g.
-3
Solve -3*p = 3*k + 18, p = 3*p - 3*k - 13 for p.
-1
Solve -3*k - 32 = -q - 37, 0 = -k - 2*q + 11 for k.
3
Solve -n + 5*t = 13, 0 = -4*n - n + 5*t - 25 for n.
-3
Solve -2*x = 2*m - 8, 0*x - 1 = -4*x - m for x.
-1
Solve -t - 3*z - 8 = 0, -4*z = 16 - 0 for t.
4
Solve 5*x - 5*t = x + 10, 10 = -x - 5*t for x.
0
Solve 5 = 2*g - s, -4*g + 4*s - 8*s - 20 = 0 for g.
0
Solve 2*j - 5*b + b - 24 = 0, 5*j - 32 = 3*b for j.
4
Solve 2*q - 5 = -z - 1, 3*z + 21 = 5*q for z.
-2
Solve 3*m - 9 = 4*u - 30, -2*u - 2*m = -14 for u.
6
Solve i + 5*a = -22, 0*i - a = -2*i for i.
-2
Solve -2*i - 4 - 6 = 0, 2*h + 21 = -3*i for h.
-3
Solve 3*t = 4*m + 8, 3*t - 25*m + 23*m = 4 for t.
0
Solve -24 = -4*x - 4*h, 11 + 14 = 5*h for x.
1
Solve -7 = 4*d + 4*k + 1, -2*d = 4*k + 12 for d.
2
Solve -7*o = 3*n - 5*o + 19, 4*n = -3*o - 27 for n.
-3
Solve 2*k = 4*r - 0*r - 12, -2*r = 5*k + 18 for k.
-4
Solve -2*m + 25*z + 2 = 21*z, -3*m - z = -10 for m.
3
Solve 5*z + 2*y = 5*y - 30, 4*y = 2*z + 26 for z.
-3
Solve -3*g = o - 71 + 64, g + 2*o - 9 = 0 for g.
1
Solve 5*c = 3*s - 20, -3*c + 2 = -4*s + 5*s for c.
-1
Solve 3*z - h = -7, 3*h + 60 = -5*z + 39 for z.
-3
Solve -3*u + 22 + 9 = -5*q, -q = -5*u + 15 for u.
2
Solve -l + 3 = s, 3*l - 2*l - s = 7 for l.
5
Solve -4*k - 5*d + 15 = 0, 5*k - 3*d - 3 = -4*d for k.
0
Solve 19*z + 6 = 16*z, -4 = 2*i + 5*z for i.
3
Solve -2*g + 2*r - 3*r = 7, 5*g + 2*r + 17 = 0 for g.
-3
Solve 4*k = 7*i - 6*i - 4, -2*k + i = 0 for k.
-2
Solve -16 = -2*r - 3*f, -19*r - 2*f + 18 = -14*r for r.
2
Solve -2*a - 17 = 5*u + 8, 35 = -4*a - 5*u for a.
-5
Solve -3 = 3*s - 3*y, -18*s = -13*s - 4*y + 7 for s.
-3
Solve -5*i - 5*h + 25 = 15, 0 = 3*i - 2*h - 6 for i.
2
Solve 0 = -2*y + 5*l + 1, 2*y - 48*l + 8 = -52*l for y.
-2
Solve -2*j + 4*n = 2, -33*n + 29*n + 5 = -j for j.
3
Solve c - 5*t = 16, -2*c + t = 2*t + 12 for c.
-4
Solve 3*a + 7*h = 2*h - 5, -5*a - 23 = h for a.
-5
Solve 3*x + 9 = 0, -5*g + 2*x + 13 = 6*x for g.
5
Solve -2*i - 5*k = -17, i + 8*k = 10*k - 5 for i.
1
Solve 0 = -2*w + 4, 3*j + w = -0*w + 17 for j.
5
Solve 3*r - 3 = 4*s, -4*r + s + 4 = -2*s for r.
1
Solve -3*p = -6, -5*p = -2*w - 2*w - 26 for w.
-4
Solve 9*o = 4*o + 3*v - 10, 3*v = 2*v for o.
-2
Solve 0 = -2*y - 5*t + 2, 0 = 3*t - 6*t for y.
1
Solve -3*g - 3*m - 2 = 10, 4 = 3*g - 5*m for g.
-2
Solve 4*l + 5*m - 4 = -6 | {
"pile_set_name": "DM Mathematics"
} |
r 3*l**3 + 319473*l**2 + 319464*l - 638940.
3*(l - 1)*(l + 2)*(l + 106490)
Find q, given that -3*q**3/7 + 3831*q**2/7 + 7674*q/7 = 0.
-2, 0, 1279
Let -1323*c**2 + 620802*c - 72825987 = 0. Calculate c.
4927/21
Suppose 2*r**4/15 - 24742*r**3/15 + 98944*r**2/15 - 98936*r/15 = 0. Calculate r.
0, 2, 12367
Factor 2*s**2/7 + 24456*s + 523333944.
2*(s + 42798)**2/7
Factor -3*n**3 + 1041*n**2 - 90825*n + 89787.
-3*(n - 173)**2*(n - 1)
What is h in 128*h**5/3 - 8420*h**4/9 + 39698*h**3/9 - 17408*h**2/3 - 518*h + 96 = 0?
-1/6, 3/32, 3, 16
Solve 2*h**2 + 54842*h - 54844 = 0.
-27422, 1
Factor 7260125*y**3 - 96400*y**2 + 320*y.
5*y*(1205*y - 8)**2
Solve -5*b**4/3 + 1430*b**3/3 - 42795*b**2 + 3508120*b/3 - 6514060/3 = 0.
2, 46, 119
Factor 30*v**2 + 265*v - 10920.
5*(v + 24)*(6*v - 91)
Factor i**2/4 + 6969*i - 27877/4.
(i - 1)*(i + 27877)/4
Factor -m**2/4 + 8679*m/4 - 8677/2.
-(m - 8677)*(m - 2)/4
Factor -u**3 - 458*u**2 + 2779*u - 2320.
-(u - 5)*(u - 1)*(u + 464)
Find z, given that -z**4 - 51680*z**3 + 51685*z**2 + 206720*z - 206724 = 0.
-51681, -2, 1, 2
Factor -5*y**3 + 320*y**2 + 5100*y - 41040.
-5*(y - 76)*(y - 6)*(y + 18)
Solve -n**4/10 - 99*n**3/10 + 164*n**2/5 + 222*n - 1224/5 = 0 for n.
-102, -4, 1, 6
Solve -o**3 + 12*o**2 + 64*o - 768 = 0 for o.
-8, 8, 12
Let 4*u**3/5 - 27808*u**2/5 + 55604*u/5 - 5560 = 0. Calculate u.
1, 6950
Factor -2*j**3 - 5338*j**2 + 5340*j.
-2*j*(j - 1)*(j + 2670)
Solve -y**4/6 + 31*y**3/6 - 59*y**2/6 + 29*y/6 = 0.
0, 1, 29
Factor -4*z**2 + 4872*z - 434948.
-4*(z - 1121)*(z - 97)
Factor -3*g**2 - 3561*g - 31806.
-3*(g + 9)*(g + 1178)
Factor -2*m**3 + 2210*m**2 - 178814*m - 181026.
-2*(m - 1017)*(m - 89)*(m + 1)
Suppose -2*g**2 + 192365*g + 96183 = 0. Calculate g.
-1/2, 96183
Solve -27243*j**2 - 54496*j - 20 = 0 for j.
-2, -10/27243
Find o, given that -5*o**4 + 7875*o**3 + 55295*o**2 + 118605*o + 71190 = 0.
-3, -1, 1582
Factor 4639156488*t**2/7 - 192648*t + 14.
2*(48162*t - 7)**2/7
Factor -r**4/2 + 8117*r**3 - 65869453*r**2/2 - 65893806*r - 32950962.
-(r - 8118)**2*(r + 1)**2/2
Solve -b**2/4 + 855*b/2 - 26336 = 0.
64, 1646
Factor -y**4/4 - 43361*y**3/2 - 1880176321*y**2/4.
-y**2*(y + 43361)**2/4
Factor -t**3 - 141*t**2 + 1501*t - 1359.
-(t - 9)*(t - 1)*(t + 151)
Factor 5*l**3 + 6260*l**2 + 1632025*l - 212876630.
5*(l - 94)*(l + 673)**2
What is r in 3*r**5/2 - 447*r**4/2 - 1371*r**3/2 + 447*r**2/2 + 684*r = 0?
-3, -1, 0, 1, 152
Suppose -v**4 + 9*v**3 - 18*v**2 - 4*v + 24 = 0. What is v?
-1, 2, 6
Suppose -2*g**3/21 - 2152*g**2/7 - 26506*g/3 = 0. Calculate g.
-3199, -29, 0
What is m in 40*m**5 - 1636*m**4 + 16453*m**3/2 + 1231*m**2 - 4113*m/2 + 315 = 0?
-3/5, 1/4, 6, 35
Determine j so that -4*j**5/5 - 6214*j**4/5 - 21702*j**3/5 - 3086*j**2/5 + 21706*j/5 + 1860 = 0.
-1550, -3, -1, -1/2, 1
Factor 45*x**4/4 + 1621*x**3/2 + 14616*x**2 + 648*x.
x*(x + 36)**2*(45*x + 2)/4
Factor -12*p**2 - 119564*p + 279048.
-4*(p + 9966)*(3*p - 7)
Factor -3*l**2 - 45*l + 648.
-3*(l - 9)*(l + 24)
Let -2*g**3/5 + 11522*g**2/5 + 46208*g + 231240 = 0. Calculate g.
-10, 5781
Factor -d**2/3 + 926*d/3 - 69208/3.
-(d - 844)*(d - 82)/3
Find p such that 2*p**5 - 106*p**4 + 372*p**3 + 4936*p**2 + 11728*p + 8448 = 0.
-2, 11, 48
Suppose 12*y**4/7 - 5860*y**3/7 + 19364*y**2/7 + 17476*y/7 - 7760/7 = 0. What is y?
-1, 1/3, 4, 485
Suppose 30*z**5 + 59438*z**4 + 1308090*z**3 - 1022958*z**2 - 705056*z + 360456 = 0. Calculate z.
-1959, -23, -2/3, 2/5, 1
Factor -v**2 + 5116*v - 353220.
-(v - 5046)*(v - 70)
Suppose -l**2/3 + 140*l - 7497 = 0. Calculate l.
63, 357
Factor -104*t**2/5 + 626*t/5 - 12/5.
-2*(t - 6)*(52*t - 1)/5
Factor b**4 - 496*b**3 - 10220*b**2 - 51600*b.
b*(b - 516)*(b + 10)**2
Solve -2*w**3 + 40660*w**2 - 812600*w + 4062000 = 0 for w.
10, 20310
Find u such that -2*u**3 - 3922*u**2 - 1784640*u + 137778264 = 0.
-1014, 67
Factor m**4 + 218*m**3 - 220*m**2 - 218*m + 219.
(m - 1)**2*(m + 1)*(m + 219)
Factor 4*i**2 - 347184*i + 7533545616.
4*(i - 43398)**2
Let -b**5 + 2*b**4 + 58*b**3 - 140*b**2 - 825*b + 2250 = 0. Calculate b.
-6, -5, 3, 5
What is p in p**2 + 215*p + 636 = 0?
-212, -3
Suppose j**5/2 + 41*j**4 + 1134*j**3 + 10935*j**2 + 19683*j/2 = 0. Calculate j.
-27, -1, 0
Factor w**4/5 + 34*w**3/5 + 319*w**2/5 + 102*w.
w*(w + 2)*(w + 15)*(w + 17)/5
Solve h**2/3 - 794*h/3 + 528 = 0 for h.
2, 792
Let 2*v**2 - 213749*v/2 + 53437/2 = 0. Calculate v.
1/4, 53437
Find h, given that -5*h**2 - 85920*h + 257805 = 0.
-17187, 3
Factor -3*c**2/8 + 2400*c.
-3*c*(c - 6400)/8
Suppose -g**3/5 - 30876*g**2/5 - 47660193*g + 476725442/5 = 0. What is g?
-15439, 2
Determine j so that j**3 + 19*j**2 - 900 = 0.
-15, -10, 6
Determine l so that 5*l**4 + 40*l**3 - 4420*l**2 - 41760*l + 100800 = 0.
-28, -12, 2, 30
Let b**3/5 - 922*b**2/5 + 919*b/5 + 1842/5 = 0. What is b?
-1, 2, 921
What is q in -3*q**5/2 - 16833*q**4/4 - 11734443*q**3/4 + 100784817*q**2/4 - 124717887*q/4 = 0?
-1407, 0, 3/2, 7
Find g such that 2*g**5/9 - 874*g**4/9 - 8740*g**3 - 858736*g**2/9 - 3320512*g/9 - 1450240/3 = 0.
-66, -4, 515
Factor -s**4 - 867*s**3 - 11073*s**2 + 24751*s - 12810.
-(s - 1)**2*(s + 15)*(s + 854)
Factor c**2 + 11014*c + 30327049.
(c + 5507)**2
Find i such that 5*i**5 - 22525*i**4 + 895190*i**3 - 9782150*i**2 + 16968805*i - 8059325 = 0.
1, 19, 4465
Factor 5*m**2 - 5700*m + 45280.
5*(m - 1132)*(m - 8)
Determine w, given that -2*w**3 - 52*w**2 - 112*w + 1408 = 0.
-22, -8, 4
Factor 450*f**2 + 27420*f + 417698.
2*(15*f + 457)**2
Find v such that 2*v**4/13 + 2248*v**3/13 - 20382*v**2/13 + 13628*v/13 + 36256/13 = 0.
-1133, -1, 2, 8
Determine q, given that 3*q**3 - 61893*q**2 + 319197672*q + 319259568 = 0.
-1, 10316
Determine n so that 85*n**3 + 140770*n**2 + 58291200*n + 6855840 = 0.
-828, -2/17
Factor 4*l**2/3 - 26420*l/3 + 26416/3.
4*(l - 6604)*(l - 1)/3
Factor -2*w**2/5 + 1698724*w/5 - 360707903522/5.
-2*(w - 424681)**2/5
Factor 4*x**3 + 20892*x**2 + 41772*x + 20884.
4*(x + 1)**2*(x + 5221)
Determine d so that -3*d**3 - 1716*d**2 - 174303*d + 21638610 = 0.
-321, 70
Find s such that -s**5/4 - 15*s**4/2 - 5*s**3/2 + 135*s**2 - 349*s/4 - 435/2 = 0.
-29, -5, -1, 2, 3
Factor 2*v**4/9 + 3532*v**3/9 + 556102*v**2/3 + 96183424*v/9 + 1483163648/9.
2*(v + 32)**2*(v + 851)**2/9
Factor 3*f**2/2 - 644019*f + 138253490787/2.
3*(f - 214673)**2/2
Solve -4*l**2 - 79568*l - 395691664 = 0 for l.
-9946
Determine h so that -28*h**2/5 - 72042*h/5 + 5146/5 = 0.
-2573, 1/14
Factor 5*f**3 + 6720*f**2 + 3003945*f + 446706050.
5*(f + 427)**2*(f + 490)
Solve -2*c**4 - 22*c**3 + 364*c**2 - 1128*c + 1008 = 0.
-21, 2, 6
Find l such that 78*l**3/7 - 1719*l**2/7 + 9504*l/7 - 363/7 = 0.
1/26, 11
Determine b, given that b**4/4 + 27*b**3/4 + 197*b**2/4 - 3*b/4 - 1287/2 = 0.
-13, -11, -6, 3
Solve -2*c**4/11 + 40*c**3/11 + 5974*c**2/11 + 77652*c/11 - 408240/11 = 0.
-27, 4, 70
Let 2*w**2 + 32*w - 384 = 0. Calculate w.
-24, 8
Factor -l**3/5 + 45*l**2 - 16107*l/5 + 356083/5.
-(l - 91)**2*(l - 43)/5
Determine s, given that -2*s**5 - 774*s**4 - 77548*s**3 - 516056*s**2 - 1016880*s - 577600 = 0.
-190, -4, -2, -1
Factor -2*f**2/11 - 4882*f/11 - 859500/11.
-2*(f + 191)*(f + 2250)/11
What is h in -7*h**5/4 - 377*h**4/4 - 505*h**3/2 + 265*h**2/2 + 1017*h/4 - 153/4 = 0?
-51, -3, -1, 1/7, 1
Factor -8823675*v**3/2 + 529415355*v**2/2 + 1234797*v/8 + 45/2.
-3*(v - 60)*(3430*v + 1)**2/8
Factor 5*o**3 - 4155*o**2 + 625675*o + 629835.
5*(o - 633)*(o - 199)*(o + 1)
Determine t so that -2*t**4/3 - 38*t**3 + 240*t**2 + 7200*t = 0.
-60, -12, 0, 15
Factor -2*w**2/3 + 8378*w.
-2*w*(w - 12567)/3
Factor -4*o**2/7 - 5208*o + 218880/7.
-4*(o - 6)*(o + 9120)/7
Factor -3*z**4/7 + 20283*z**3/7 + 40578*z**2/7.
-3*z**2*(z - 6763)*(z + 2)/7
Solve -15*f**4 + 2649*f**3 + 1113*f**2 - 8985*f - 7434 = 0.
-7/5, -1, 2, 177
What is k in 3*k**3 + 153*k**2/7 - 1404*k/7 + 2028/7 = 0?
-13, 2, 26/7
Solve -3*v**4 - 270*v**3 - 5436*v**2 + 45816*v + 761760 = 0.
-46, -10, 12
Find m such that 2*m**5/3 + 2359*m**4/3 - 1201*m**3/3 - 8257*m**2 + 3549*m + 10620 = 0.
-1180, -3, -1, 3/2, 3
Find x, given that 15*x**4/4 + 883*x**3/4 + 1201*x**2/2 - 84*x = 0.
-56, -3, 0, 2/15
Let -76*m**2 + 12384*m + 13120 = 0. Calculate m.
-20/19, 164
Factor 4*t**2 - 1124*t + 66192.
4*(t - 197)*(t - 84)
Let -2*f**5/7 + 236*f**4/7 - 1530*f**3/7 - 2720*f**2/7 + 6152*f/7 + 7104/7 = 0. Calculate f.
-2, -1, 2, 8, 1 | {
"pile_set_name": "DM Mathematics"
} |
29
Rearrange -3*d**3 + 0 + 14 + 0 + 4*d**2 - 3 to the form w*d + x + y*d**2 + q*d**3 and give w.
0
Express -3 - 5 + 11*k**4 + 6*k**4 - k**3 - 18*k**4 - k**3 - 10*k as f*k**2 + g + t*k**3 + l*k + v*k**4 and give t.
-2
Express -13*x**3 + 39*x**3 - 13*x**3 + (-13*x - 17*x + 39*x)*(-x**2 + x**2 + 2*x**2) as g + s*x**2 + n*x**3 + j*x and give n.
31
Rearrange -15*n**3 - 2*n**2 + 38*n + 18*n**3 - 5*n to c*n + j*n**2 + z*n**3 + a and give z.
3
Rearrange (3*n + 5*n - 5*n)*(-1 + 2 + 2) - 14*n + 13*n - 27*n to d*n + u and give d.
-19
Rearrange 195 + 3*j - 274 + 238 + 0*j + 0*j to d*j + k and give k.
159
Rearrange (-5*v**2 - 9*v + 9*v)*(3 - 3 + 7) - 7*v + 7*v - 7*v**2 to the form q*v + l*v**2 + j and give j.
0
Express -9*y + 3 + 25*y - 5*y**2 - 30 + 27 in the form g + i*y**2 + m*y and give m.
16
Express t**2 + 2*t**3 - 10916 + 10989 + 2*t**3 in the form m*t**2 + f*t + a*t**3 + s and give f.
0
Rearrange -31*i - 14 + 38 - 23 + 0*i to the form h*i + t and give t.
1
Express (-2 + 2 - 2*g)*(g - 4*g + 2*g) + 0*g**2 + 2*g**2 - g**2 + 586*g**2 - 2*g + 8*g - 621*g**2 as h + v*g + m*g**2 and give m.
-32
Express 1499*j + 472*j + 666*j as d + r*j and give r.
2637
Rearrange -7*w**4 - 2 + 0*w**2 + 10*w**4 - 4*w**2 + 5*w**2 + 18*w to h*w**4 + o*w**3 + i*w + y + m*w**2 and give y.
-2
Express -4*f + 7 - 1141*f**4 + 1143*f**4 + 3*f + 2*f**3 + 2*f**2 as w*f**3 + h*f + d*f**4 + u*f**2 + q and give h.
-1
Express -19*h**4 - 4 + 4 + 20*h**4 - 13*h**3 - h**2 in the form s*h + z*h**2 + l + k*h**3 + p*h**4 and give z.
-1
Rearrange 3*z + 6*z - 3*z - z - 3 + 3 + (2*z + 2*z - 5*z)*(0 - 2 + 3) + 3*z - 4*z - z + 2*z + 0*z - 3*z - 3 + 3 + 3*z to the form t*z + p and give t.
4
Express ((-2 - 3 + 3)*(-x + x + x) + 6*x + 2*x - 4*x)*(-2 + 4 + 2) in the form u*x + g and give u.
8
Rearrange -16*k**4 - 2*k**2 + 5*k**4 + 13*k + 12*k**4 + 27*k + 2*k**3 - 1 to the form a*k + z*k**3 + t*k**4 + f + y*k**2 and give y.
-2
Express (-188*g + 11*g**2 + 188*g)*(-10*g + 51*g - 24*g)*(-g - 4 + 4) in the form k*g**2 + t*g**3 + h*g + j*g**4 + i and give j.
-187
Rearrange 761*w + 3 - 1 - 760*w + 23*w**4 to the form y + r*w**2 + p*w**4 + d*w**3 + a*w and give p.
23
Rearrange -35*n - 87*n + 16*n - 44*n to the form v*n + j and give v.
-150
Rearrange 0 + 0 - c**2 + (c - 2*c + 2*c)*(-1 - 3 - 1)*(-5 + 17 + 6)*(c + 1 - 1 + (2*c + 1 - 1)*(2 + 1 - 2) - c - 5 + 5) to the form x*c**2 + y + r*c and give x.
-181
Express 0*v + 0*v + 14 + 2*v + (1 - 1 - 3*v)*(1 + 3 - 2) - 5*v - 17 + 17 in the form p*v + x and give p.
-9
Express 185 - x - 12*x**4 + x**4 - 90 - 2*x**2 + 0*x - 93 in the form r*x**4 + a*x**3 + p*x + z + i*x**2 and give r.
-11
Express (3*p + 155 - 156 + 0*p)*(3 - 3 - p**2)*(2*p + 23 - 23) in the form x*p + v*p**2 + h*p**3 + n + l*p**4 and give h.
2
Rearrange (v**4 - 6*v**4 - 6*v**4 + 4*v**4)*(48 + 307 + 120)*(0 + 2 - 3) to n*v**3 + a*v + q + c*v**4 + w*v**2 and give c.
3325
Rearrange (19*n**2 - 10*n**2 - 56*n**2)*(4*n - n - n) to the form q*n**3 + l + v*n + b*n**2 and give q.
-94
Express (-1 + 5 + 2)*(55 + 20 - 154*m + 157*m) in the form w + c*m and give c.
18
Express 375*b**3 - 736*b**3 + 2 - 4*b**2 + 366*b**3 - 3*b**2 as s*b**3 + v*b**2 + n + h*b and give n.
2
Rearrange (9 - 18*w - 9)*(-6 + 3*w - 7 + 13) to the form x + i*w**2 + q*w and give i.
-54
Rearrange ((0*g - 2*g + g)*(0*g**2 - g**2 + 5*g**2) + g**3 + g**3 - 3*g**3)*(3 - 1 + 0 + (-1 - 2 + 5)*(13 - 2 - 3)) to f*g**3 + w*g**2 + j*g + d and give f.
-90
Rearrange 286*h - 279*h + 3 - 22 to t + f*h and give t.
-19
Express (3*b - 5*b - 3*b + (-6*b + 0*b + 4*b)*(1 + 1 - 1) + (3 - 2 - 2)*(-2*b + 1 - 1))*(-2*b**2 - 5*b**2 + 0*b**2) as g*b + v*b**2 + m + r*b**3 and give r.
35
Express (-4*b + 6*b - 3*b + (1 - 1 + 1)*(b + b + 0*b))*(4*b - 6*b + 6*b + (b + 2 - 2)*(-1 - 2 + 4) - 2*b + 5*b - 6*b) in the form g*b + d + q*b**2 and give q.
2
Rearrange -r + 24 + 19 - 47 - 2*r**4 + r**2 to g*r + x*r**4 + t + w*r**2 + f*r**3 and give g.
-1
Rearrange ((1 + 2 - 1)*(1 - 1 - 2) - 38 + 77 + 43)*(-3*c - c**2 + 3*c) to w + g*c + x*c**2 and give x.
-78
Rearrange -2*n**3 - 728*n**4 + 2*n**2 + 192 + 730*n**4 + n**3 to the form d*n + p*n**4 + b*n**3 + v + i*n**2 and give v.
192
Express -48*k + 100 - 100 + (3 + 2 - 3)*(k - 4*k + 2*k) + (3*k + k - 5*k)*(-6 + 3 + 1) as v*k + u and give v.
-48
Express -10 - z**3 - 175*z**2 + 0*z**3 + 175*z**2 in the form a*z + f + n*z**2 + u*z**3 and give f.
-10
Rearrange -3*f + 0*f - 8*f + (-4 + 0 + 6)*(-5*f + f - 18*f) to m + i*f and give i.
-55
Rearrange ((-1 - 2 + 4)*(-11*y + 2*y + 5*y) + 49 + 20*y - 49)*(y**2 + 3*y**2 - 3*y**2) to the form q*y + j*y**3 + c*y**2 + k and give j.
16
Rearrange 0*z**2 + z**2 + 5 - 3 + 219*z + 103*z - 4 to the form l + f*z + b*z**2 and give b.
1
Express 12*w + 82 + 54 - 24*w - 2*w**2 + 12*w as p*w**2 + i + c*w and give p.
-2
Rearrange -2*b**2 - 3*b**2 + 6*b**2 + (30*b + 75*b - 139*b)*(2*b + 1 - 1) to m*b + i + x*b**2 and give x.
-67
Rearrange 12248*l + 12255*l + 5 - 24370*l to g*l + m and give g.
133
Express 1024*j**2 - 32196 + 32196 in the form d + t*j + b*j**2 and give b.
1024
Rearrange (-18 - 6 - 36)*(-6 - 5*u + 6) to the form p*u + g and give p.
300
Express 2 - 2 - 2*c + 62*c + 71*c - 88*c + (2 + 1 - 4)*(2 - 2 + 6*c) in the form f + k*c and give k.
37
Rearrange 2 - 2 - 7*w + 5 - 3 to the form o + d*w and give o.
2
Rearrange 2*s**3 + 12*s + 5 - 12*s + (7 - 4 - 1)*(-2*s**3 + 2*s**3 - 2*s**3) + 32*s**3 + 22*s**3 - 6*s**3 to the form h + o*s**2 + b*s**3 + n*s and give h.
5
Rearrange (-3*d**2 + 448 + 8*d**2 - 439)*(-2*d + 5 - 5) to t*d**3 + y*d**2 + k + i*d and give t.
-10
Express 16*y**3 + y**2 + y - 73*y**3 + 33*y**3 - 110*y**3 as m*y + n + i*y**2 + g*y**3 and give i.
1
Rearrange -4*h - 72*h**2 + 4071 - 4071 to s*h + j*h**2 + y and give j.
-72
Express 10 + 275*r - 55*r - 142*r as f + y*r and give y.
78
Rearrange -7*q - 3*q + 15*q + 37*q**3 - 9*q to x*q + t*q**2 + p + o*q**3 and give x.
-4
Express (2*r - 4*r + 0*r)*(-6*r + 23184 + 10*r - 23464) as d + u*r**2 + a*r and give u.
-8
Rearrange -2298*x - 1 + 3 + 368*x + 137*x - 642*x to n + w*x and give n.
2
Rearrange 3*q - 31*q - 3*q + 10*q to t*q + g and give t.
-21
Express (-3 + 1 + 4)*(1 - 4 + 1)*(-8 + 1 - 3)*(-4 + 4 - 2)*(-18*k + 33*k - 11*k) + 6*k - k - 4*k in the form o + h*k and give h.
-319
Rearrange (5 - 2 + 1)*(0 + d + 0) - 4*d - d + 3*d + 158*d - 200*d + 219*d to k + x*d and give x.
179
Express (2*l**4 - 2*l**4 + l**4)*(-27 - 91 - 102) in the form w*l**4 + f*l**3 + t + a*l**2 + u*l and give w.
-220
Rearrange y - 389*y**3 - 182*y**3 - 3 + 8 + 55*y**3 - 3 to f*y + o*y**3 + d*y**2 + t and give f.
1
Express (-o**2 - 3*o**2 + 5*o**2)*(9*o - 23 + 16*o + 22) in the form z*o**2 + c*o + i + r*o**3 and give z.
-1
Express -2787*q**3 + 1387*q**3 - 2*q - 2*q**2 + 1383*q**3 + q**4 as d*q + w + j*q**4 + y*q**3 + a*q**2 and give y.
-17
Express (-3 + 9 + 10)*(-5*g + 5*g + 4*g**2) as o + k*g**2 + l*g and give k.
64
Express (-1 + 5 + 0 + (-1 - 1 - 1)*(12 - 7 + 14))*(-u**4 + 0*u**4 - u**4) as m*u**3 + x*u**2 + k*u**4 + s + y*u and give k.
106
Rearrange (-3*p + 0*p + 6*p)*(6*p + 7*p - 9*p)*(0 + 1 - 3)*(2*p + 0*p + 0*p) to the form n + q*p**3 + b*p**2 + u*p and give q.
-48
Express (-3 - m**3 + 3)*(0 + 3 - 1) - m**3 + 1 - 1 + (25 - 16 - 7 + 26*m)*(-2*m**2 + 4*m**2 - 3*m**2) in the form s + n*m**3 + r*m**2 + f*m and give n.
-29
Rearrange -266 - 410*n - 4*n - n**2 - n**4 + 266 + 0*n**4 to the form k*n + m*n**2 + u*n**4 + c + l*n**3 and give c.
0
Express 277*o - 778*o - 1279*o - 488*o + 178*o as q*o + i and give q.
-2090
Rearrange 0*u + 0*u - 2*u + (-2 + 6 - 1)*(-2*u + 7*u + 8*u) + 2*u - u - 4*u to the form y*u + p and give y.
34
Rearrange 61 + 80*q + 106*q + 289*q - 61 to the form t + h*q and give h.
475
Rearrange (0 - 2*u + 0)*(0*u + u - 4*u) + 24*u**2 - 26*u**2 + 10*u + 9*u - 2*u - u**2 + 2*u to c*u**2 + f*u + p and give c.
3
Express 5*h - 2*h + h + 25 - 28 in the form f*h + o and give o.
-3
Rearrange -2*v**4 - 187 + 214 + 0*v**4 + 4*v**4 - v - 2*v**2 to p + a*v**2 + z*v**4 + y*v + c*v**3 and give z.
2
Express (589 + 1472 - 825)*(0 + 3*b + 0) as g + m*b and give m.
3708
Express 2 - 96*h - 92*h - 2*h**3 + 282*h - 95*h + 2*h**4 - 2*h**2 in the form o*h**4 + u*h**3 + f + z*h + i*h**2 and give u.
-2
Rearrange 2*h + 3*h**2 + 4*h**2 - h**2 + 4 - 2*h**2 to a*h + i*h**2 + s and give i.
4
Rearr | {
"pile_set_name": "DM Mathematics"
} |
site number?
False
Let g = -4133 + 10383. Suppose -4*v + 3*x = x - g, -4*v + 6229 = 5*x. Is v composite?
True
Suppose -78065 = -14*y + 140419. Suppose y = 4*f - 726. Is f prime?
False
Suppose -4902957 + 26965086 = 226*u - 15425169. Is u a prime number?
False
Let o(z) be the first derivative of -1/2*z**2 - 1/4*z**4 + 6*z**3 - 8 - 29*z. Is o(15) composite?
False
Let d(f) be the first derivative of -31*f**4 + 5*f**3/3 + f**2/2 - 7*f - 223. Is d(-2) a prime number?
False
Suppose 4746065 + 410333 = 448*w - 435*w. Is w prime?
False
Let c(d) = -d**3 - 6*d**2 + 5*d - 10. Let a be c(-7). Suppose -37*u = -32*u. Suppose u = -a*t + 5*l + 87 + 636, -4*l = 12. Is t a prime number?
False
Suppose 2*f = 3*f + 4*o - 31, -5*o = -f - 5. Suppose a - f = -4*v, 11 = 5*v + 2*a - 7. Is (-262)/v*(-39 + 13) composite?
True
Let d be ((-351)/26)/((-5)/4 - -2). Let k(n) = -331*n - 5. Is k(d) composite?
False
Let v(u) = 187*u**3 + 16*u**2 - 132*u + 1177. Is v(10) a prime number?
False
Suppose -2*s + 7*s = 20. Let d be s/(-6)*(7 - 13). Suppose -m - 1022 = -4*x + 1506, -3*x + d*m = -1909. Is x a prime number?
True
Let f = -219 - -221. Is 2339/2 - (7/(-2) + f) a composite number?
False
Let n(v) = 164*v**2 + 2*v - 11. Let o be n(3). Let k = o - -4086. Is k a prime number?
True
Let y(n) = 1907*n + 10. Is y(3) prime?
False
Is (-22)/(-33) + 558736/48 + (1 - 1) a composite number?
True
Suppose 0 = 15*n - 8*n + 36778. Let r = n + 11651. Is r prime?
True
Let s(b) = 6*b**2 - 2*b - 3. Let a be s(-1). Suppose -a*u + 19 = v + v, 3*u - 21 = 2*v. Suppose u*q + 4*w - 380 = 3717, -2465 = -3*q + w. Is q prime?
True
Let x(w) = 3*w**3 - 4*w**3 - 15 - w**2 + 0*w**3 + 4*w. Let y = 718 - 729. Is x(y) a composite number?
False
Suppose -4*w + 2*h = -0*h + 5376, -2*w + 5*h - 2696 = 0. Let a = w - -2556. Let g = -164 + a. Is g a prime number?
True
Let q(u) = -4*u**3 - 310*u**2 + 168*u + 126. Let m be q(-78). Let a be 1/(1*(-1)/(-1511)). Let x = m + a. Is x prime?
True
Let i = -33013 - -70970. Is i prime?
True
Let l = 468085 - 190398. Is l a prime number?
True
Let n = 2469570 - 1674499. Is n a prime number?
True
Let b(h) = 60*h**2 - 30*h + 59. Is b(-30) a prime number?
True
Let h = -7498 + 9935. Is h a prime number?
True
Let u(s) = -2584*s - 385. Let d(c) = -1293*c - 193. Let o(b) = -5*d(b) + 2*u(b). Is o(10) prime?
False
Let l = -390 + 394. Is 1*l + 488358/26 prime?
True
Let b be -1 - ((2 - 6) + 0). Suppose 0 = h - 2*f + 59, 21 + 101 = -2*h + b*f. Let n = 66 - h. Is n prime?
False
Suppose -9*v - 71 = -260. Let c(x) = 2*x**3 - 23*x**2 - 52*x + 34. Is c(v) prime?
True
Let h(n) = 89*n**2 - 18*n + 25. Let v(p) = 89*p**2 - 16*p + 24. Let g(d) = -5*h(d) + 6*v(d). Is g(3) a prime number?
False
Let x = 2861 - 2851. Let w(y) be the third derivative of 2*y**5/5 - 2*y**4/3 + 11*y**3/6 - y**2. Is w(x) a prime number?
True
Let i be 158/8 + (45/36 - 1). Suppose p - 2528 = -4*x, 0 = -6*p + p - i. Is x a prime number?
False
Suppose 4*a + 3323 + 45 = 0. Let c = a + 1611. Is c composite?
False
Let t(n) = -2782*n**2 - n - 3. Suppose -3*h + 8 = h. Let c be t(h). Let x = 16300 + c. Is x a prime number?
True
Let i be 672/16*(-2 - (-10)/4). Suppose -31055 + 249266 = i*c. Is c composite?
False
Let t = 13 - 9. Suppose -11*j + 13*j - 6510 = -2*u, t*j + 2*u = 13024. Suppose 2*m - 2*w - 5130 = 0, 4*w - j = -2*m + 1861. Is m prime?
False
Let c be (-2)/10 - (-146808)/15. Suppose -7*m - 1016 + c = 0. Is m a composite number?
True
Suppose 72641 = w - 7*o, -9*w + 11*w = 3*o + 145238. Is w a prime number?
True
Suppose -4*h - 150538 = -10*a, -8*a + 3*a = -3*h - 75271. Is a composite?
False
Is (0 + 2)*((-3)/(-2) + 3413292/69) a composite number?
False
Let b(h) = 40*h**3 + 5*h**2 + 96*h + 205. Is b(17) a prime number?
False
Suppose n = -2*o + 53, -9*o - 77 = -12*o - n. Suppose -9*l - o*l + 70257 = 0. Is l a prime number?
True
Let l = -12 - -15. Is 22113/l + 0 + -2 prime?
True
Suppose 0*c - 5*c - d + 617 = 0, 0 = -3*c + 3*d + 363. Suppose -10*b = 6947 + c. Let k = b + 1126. Is k a composite number?
False
Let t(u) = 11*u - 7 + 2*u - 5*u**2 - 22*u**3 + 3*u**3 - 7*u. Is t(-5) a composite number?
False
Let a(q) = -q**2 + 5*q + 10. Let j = 45 - 39. Let y be a(j). Is (-2)/((-7)/(938/y)) a composite number?
False
Let p = 20 - 20. Suppose -33 = -3*w - p*w. Suppose 0 = w*n - 7*n - 2036. Is n a composite number?
False
Suppose 9663 + 4071 = 3*n. Is (n/9 + -1)*6 prime?
False
Suppose -2*z + 5*d - 3438 = 0, 35*z - 30*z + 8629 = 4*d. Let l = 2942 + z. Is l composite?
False
Let p be ((-678)/12)/((-3)/18). Suppose h = f - 497, f = 4*f - 4*h - 1492. Let w = f - p. Is w a prime number?
True
Suppose f - 1439 = -5*a, -6*f - 2*a = -3*f - 4291. Let l = f + 1680. Is l composite?
False
Is (-20)/(-100) + (-25438658)/(-35) a composite number?
True
Let s(t) = 7*t**3 + t**2 + 4*t - 5. Let h be s(1). Let z(q) = q**3 - 5*q**2 - 6*q + 9. Is z(h) a prime number?
False
Let s = -305 + 313. Let q = -11 - -7. Is (-2)/q - 276/s*-261 a composite number?
True
Let d(o) = -21285*o + 53. Is d(-4) a composite number?
False
Let s = 358631 - -701430. Is s a composite number?
False
Let y(w) = w**3 + 18*w**2 + 8*w + 65. Let n(g) = 2*g**3 + 36*g**2 + 17*g + 130. Let u(k) = -3*n(k) + 5*y(k). Is u(-23) a prime number?
True
Let d = 44 + -38. Let h(r) = 67*r**2 + 12*r - 5. Is h(d) prime?
False
Is (14/5)/(364/5934110) composite?
True
Suppose -22*z + 14*z = -32. Suppose z*v = 2059 + 18169. Is v a prime number?
False
Suppose 4*c - 5*c = 0. Let f be c/(-4 - (-6)/1). Suppose f = -5*g + 358 + 37. Is g prime?
True
Let y(g) = 21374*g - 28. Let r be y(7). Suppose 3*p - 18011 = r. Is p/14 + 12/(-8) a prime number?
True
Let h = -262 - -610. Suppose -2*u = g - 3*u - h, 2*g + u = 693. Is g prime?
True
Suppose -135628 = 21*x + 42200. Let k = x - -17619. Is k a prime number?
True
Let h(l) = -2746*l + 1559. Is h(-26) a composite number?
True
Let v be (0/(-2))/(2/1). Suppose -5*x - 2*y + 11 - 57 = v, -3*x - 21 = -y. Is 6459/9*6*(-4)/x prime?
True
Let l(o) be the first derivative of -2*o**4 + 4*o**3/3 + o**2/2 + 2*o - 276. Suppose 0 = -4*t + 4*n - 32, t + 5*n = -0*t + 22. Is l(t) prime?
True
Suppose 8 = v - 3*l - 14, 3*v - l = 50. Suppose 88774 - 13526 = v*h. Is h composite?
False
Let u = -187469 - -694762. Is u composite?
True
Let j(d) = 707*d**2 - 51*d - 147. Is j(-19) a prime number?
True
Let m(c) = 3 + c**3 + 0*c**3 - 6 + 2. Let z(p) = 3*p**3 + 14*p**2 + 20*p - 6. Let j(d) = 4*m(d) - z(d). Is j(16) prime?
False
Let t(q) = -131*q + 514. Is t(-17) a composite number?
False
Let o = -123 + 158. Let l(p) = 8*p**2 - 24*p - 75. Is l(o) a prime number?
False
Suppose -5*i - 3*d = -5*d - 39, -5*d = 3*i - 42. Is 1/i + 184490/171 a prime number?
False
Suppose -5*w + 312*n - 316*n = -1136450, 3*w - 681897 = 3*n. Is w a composite number?
True
Is ((3/(-2))/(64/404864))/(-3) composite?
False
Let y be (-2)/(-6*6/(-72)). Is 3 + -80*178/y composite?
True
Let u(k) = 49036*k + 1725. Is u(17) a prime number?
False
Let w = -2 + 48. Let i = -39 + w. Suppose 0 = -i*a + 10*a - 3447. Is a a composite number?
True
Let j = 4 + 1. Suppose j*b - 5*s - 2590 = 0, 0 = -5*b - 3*s - 141 + 2715. Let g = b + 157. Is g composite?
False
Let z = -3900279 - -5561320. Is z composite?
True
Let y = 79305 + 3044. Is y a composite number?
False
Let w be 24/(-40)*1/((-9)/30). Is 2/((-16)/(-33924)) - w/(-4) a composite number?
False
Suppose -p + 4*b = -125357, -p + 410*b + 125375 = 409*b. Is p composite?
True
Suppose -2*h - 4*a = -314932, 5*h = 5*a + 109148 + 678242. Is h a composite number?
True
Let w(q) = -286*q + 23. Let u(i) be the first derivative of -572*i**2 + 92*i - 2. Let s(b) = 2*u(b) - 9*w(b). Is s(7) a prime number?
True
Suppose 3*x + u + 10419 = 42818, 4*x - 14*u = 43260. Is x a prime number?
False
Suppose 3*q + 96 - 30 = 0. Let n(d) = d**3 + 22*d**2 + 5. Let x be n(q). Suppose s - 6390 = -x*t, 0 = 3*t - 3*s - 1416 - 2436. Is t prime?
True
Suppose 2*p + b = 958807, -1408743 - 988271 = -5*p - 3*b. Is p composite?
True
Let u(i) = 247 - 97 - 101 + 79*i. Is u(12) prime?
True
Let y be (12/14)/(2/7). Let o be y/(-15) + (-122)/(-10). Is (-2)/o*-3*1106 a composite number?
True
Let i = 5482 - 1161. Is i a composite number?
True
Let k(i) = -i**2 - 5*i - 6. Let b be k(-4). Let q be (4/12*b)/(1/(-3)). Suppose 0 = r - 0*y + y - 770, q*y + 761 = r. | {
"pile_set_name": "DM Mathematics"
} |
+ 5*c**2*k*s**3 - 10*c*s**3 + 2*k*s - 7*k + 22*s wrt c?
132*k*s - 16302*s**3
What is the third derivative of 3*u**4 + 5414*u**3 - 20*u**2 + 2087*u?
72*u + 32484
Find the second derivative of -81473*q**4 + 2*q**2 + 233294*q.
-977676*q**2 + 4
Differentiate -127*c**3*i + 1290321*c**3 - 162*c*i with respect to i.
-127*c**3 - 162*c
Find the third derivative of -24*u**4 - 25676*u**3 - 411341*u**2 wrt u.
-576*u - 154056
Find the second derivative of -171498*d**3 + 67841*d + 2 wrt d.
-1028988*d
What is the second derivative of 331*a*h**2 + 2*a*h - 23*h**2 + 58376*h wrt h?
662*a - 46
Find the second derivative of 932659*r**3 + 2537878*r wrt r.
5595954*r
What is the third derivative of 2*t**5 + 90*t**4 - 23*t**3 - 10558*t**2 + 14?
120*t**2 + 2160*t - 138
What is the first derivative of 10*d*o*r + 14439*d*r + 2*d + 3*o*r + 8*o + r + 802 wrt d?
10*o*r + 14439*r + 2
What is the first derivative of 635686*i**3 - 1252749 wrt i?
1907058*i**2
What is the first derivative of -81472*r**3*x + 13*r**2*x - 1369*x + 9 wrt r?
-244416*r**2*x + 26*r*x
What is the second derivative of 5363820*w**2 + 6511964*w wrt w?
10727640
What is the second derivative of -75017*u**5 - 4*u**3 + 11998*u - 81 wrt u?
-1500340*u**3 - 24*u
What is the third derivative of 11*c*d**4 + 4*c*d**2 + 39*c*d - 34*c - 180*d**4 + 2*d**2 wrt d?
264*c*d - 4320*d
Differentiate 1775326*h + 3010722.
1775326
Differentiate -95*m**2*q - 3*m**2*v**2 + m**2*v*w - m*q*v*w - 2*m*v**2 + m*v*w + 109*m*v + 10*m - 208*q*v**2 wrt q.
-95*m**2 - m*v*w - 208*v**2
Find the second derivative of -4294*b**2*o**2 - 3*b**2 - 5530*b*o**2 - 2*o**2 - 2 wrt b.
-8588*o**2 - 6
Differentiate 735639*d**2 - 977451 wrt d.
1471278*d
Differentiate 40915*c**2 - 1275208.
81830*c
What is the first derivative of a*l + 352201*a + 263282*l wrt l?
a + 263282
Find the third derivative of 20389*i**3 + 33*i**2 + 310*i.
122334
Find the second derivative of -3639171*b**2 - 4162477*b.
-7278342
Find the second derivative of 129444*g**2 + 119924*g wrt g.
258888
What is the second derivative of -309518*p**2 + p + 122366 wrt p?
-619036
Differentiate -5*p**2*z - 8273*p*z - 4*p - 2470627*z wrt p.
-10*p*z - 8273*z - 4
What is the second derivative of -73364*k**4 - 2*k**2*u - 7*k*u + 2*k - 24494*u - 1 wrt k?
-880368*k**2 - 4*u
What is the second derivative of n**4 - 6713*n**3 + 18*n**2 + 265708*n?
12*n**2 - 40278*n + 36
What is the derivative of -11167*b*d*s - 44888*b*d - 2*b*s + 2*d*s wrt s?
-11167*b*d - 2*b + 2*d
Differentiate 1899861*z + 1452269.
1899861
What is the derivative of 4*h**4 - 1533*h**3 - 53692 wrt h?
16*h**3 - 4599*h**2
Find the second derivative of o**3*v**3 + 2*o**3 + 77325*o**2*v**3 - 18*o*v + v**2 - 36*v - 4 wrt v.
6*o**3*v + 463950*o**2*v + 2
Differentiate -388*a*m**2 - 13*a*m - 741221*a + 20*m**2 - 2*m with respect to m.
-776*a*m - 13*a + 40*m - 2
Differentiate -38326*a*y + 6*a - 3459 wrt y.
-38326*a
Find the third derivative of -278*q**6 - 19*q**5 + 7*q**3 + 615610*q**2 wrt q.
-33360*q**3 - 1140*q**2 + 42
Find the third derivative of 675*v**4*x + 9*v**3*x - 12*v**3 - 5*v**2 - 2*v - 48*x + 328 wrt v.
16200*v*x + 54*x - 72
What is the third derivative of -736515*u**6 + 3*u**2 + 6984*u + 15?
-88381800*u**3
Find the third derivative of h**3*j**3 + 3607*h**3*j*r + 8*h**3*r**2 - 413*h**2*j**3*r + 2*h**2*j**3 + 2*h**2*j*r**2 - 5*h*j**3*r - 18*r**2 wrt h.
6*j**3 + 21642*j*r + 48*r**2
Find the third derivative of -52070*l**4 + 43*l**2 - 285*l wrt l.
-1249680*l
What is the second derivative of 183792*d**3 - 74956*d + 2?
1102752*d
What is the derivative of 804*b*w**4 - 2*b*w**2 - 36*b + 5 wrt w?
3216*b*w**3 - 4*b*w
Find the third derivative of -774837*d**4 - 798*d**2 - 487 wrt d.
-18596088*d
Find the second derivative of -622683*m**2*o + 162822*m*o wrt m.
-1245366*o
Differentiate -j**4 - 102*j**3 - 39*j**2 - 10*j - 1348215 wrt j.
-4*j**3 - 306*j**2 - 78*j - 10
What is the first derivative of 14*c**4 + 43319*c + 3696761 wrt c?
56*c**3 + 43319
Find the third derivative of -12*a**4 - 2795*a**3 + 2*a**2 - 415016*a wrt a.
-288*a - 16770
Find the second derivative of -39442*v**5 + 18*v**3 + 69*v - 3337 wrt v.
-788840*v**3 + 108*v
What is the third derivative of 3353*j**6 - 31*j**3 + 290*j**2 - 8*j + 61?
402360*j**3 - 186
Differentiate 2*b*h*x + 50*b*m**2*x + 6*b*m*x - 6*b*x**2 + 47*h*m**3 + 2*h*x**2 + m**3 wrt h.
2*b*x + 47*m**3 + 2*x**2
Find the third derivative of 2*m**4 + 1377849*m**3 + 20823*m**2 - 46 wrt m.
48*m + 8267094
Differentiate -c*f**2 + 21*c*f + 2790489*c - 2067*f**2 wrt f.
-2*c*f + 21*c - 4134*f
What is the second derivative of 80415*t**4 + 238*t - 728?
964980*t**2
What is the third derivative of 58627*f**3 - 2*f**2 - 64873 wrt f?
351762
Differentiate 148*q**3 + 12*q**2 + 11*q + 1827158 with respect to q.
444*q**2 + 24*q + 11
Find the second derivative of 3*m**4 - 24579*m**2 - 9569*m - 6 wrt m.
36*m**2 - 49158
What is the second derivative of 63278*t**3*z**4 - 2*t**3 + 5*t**2*z + 1241 wrt z?
759336*t**3*z**2
What is the derivative of 7*f*o**2 + 423*f*o*w + f - 709*o**2*w + o**2 - 3*o*w + w wrt f?
7*o**2 + 423*o*w + 1
What is the first derivative of 2*q*x**2 - 633*q + 178274*x + 182 wrt x?
4*q*x + 178274
What is the first derivative of -f**3 + 33814*f**2 + 33242 wrt f?
-3*f**2 + 67628*f
What is the derivative of -53684*j - 70908?
-53684
What is the derivative of 7164*g**2*x**2 + 711017*g**2 - 36*g*x**2 wrt x?
14328*g**2*x - 72*g*x
Find the second derivative of 182*m**3 + 8273*m**2 - 1206359*m - 1 wrt m.
1092*m + 16546
Find the first derivative of 61432*o - 48833.
61432
What is the derivative of -9057*c**3*k + 32*c**3 + 14*c**2*h - 2*c*h*k wrt k?
-9057*c**3 - 2*c*h
What is the first derivative of -q**2*u**3 - 39*q**2*u**2 - 702*q*u - 2*u**3 + 666*u**2 + 35*u - 1 wrt q?
-2*q*u**3 - 78*q*u**2 - 702*u
Find the second derivative of -k**3 - 81417*k**2 + 14046*k.
-6*k - 162834
Find the second derivative of -12060*m**3 - 92554*m wrt m.
-72360*m
What is the second derivative of 19*c**2*x**2 - c**2*x - 125928*c**2 + 133*c*x**2 wrt x?
38*c**2 + 266*c
What is the third derivative of 240044*b**6 - 15344*b**2 + b + 1?
28805280*b**3
Find the third derivative of 186*y**6 + 14*y**4 + 23319*y**2 - 3 wrt y.
22320*y**3 + 336*y
What is the third derivative of 2*d**3*r**2 - 3*d**3*r + 72194*d**3 - 3*d**2*r + 5*d**2 - 29*d*r**2 + 6*d*r + 4*r**2 wrt d?
12*r**2 - 18*r + 433164
Differentiate 62*u**4 - 2495*u - 47858.
248*u**3 - 2495
Differentiate 13105*a**2*c*l**2 + 2*a**2*c + 3*a**2*l**2 + a**2 + 161*l**2 + 7 with respect to c.
13105*a**2*l**2 + 2*a**2
What is the first derivative of -31*n*w**2*y + 11*n*w**2 + 11*n*w + 252*n*y - w**2*y - 7*w + 2*y + 3 wrt y?
-31*n*w**2 + 252*n - w**2 + 2
Find the first derivative of -74*c*g*q + 54*c*g - 3*c*q - 3*c - g*q + 17*q + 146 wrt q.
-74*c*g - 3*c - g + 17
Find the third derivative of 25721*t**3 - t**2 - 2*t + 63373 wrt t.
154326
Differentiate j**4 + 14836*j**3 - j - 43089 with respect to j.
4*j**3 + 44508*j**2 - 1
Differentiate 2668341*a*v - 2565078*v with respect to a.
2668341*v
Find the third derivative of 37735*f**4 + 13*f**2 - 5*f - 2.
905640*f
Differentiate -11*b*t + 83553*b + 189522*t - 12 with respect to t.
-11*b + 189522
Find the third derivative of 352430*i**3 - 118127*i**2 wrt i.
2114580
What is the second derivative of -2*k**5 - 3053*k**3 - 10*k**2 - 941271*k wrt k?
-40*k**3 - 18318*k - 20
What is the third derivative of 21119*h**6 + 147*h**2 + h + 19 wrt h?
2534280*h**3
Differentiate -5*a*z - 46109*a - 2770*z**2 + 2*z + 3 wrt z.
-5*a - 5540*z + 2
Find the first derivative of -19*j**3*n + 95*j**3 + 31*j*n + 7*j - 4*n - 2 wrt n.
-19*j**3 + 31*j - 4
What is the first derivative of 1330774*g - 886071?
1330774
Find the first derivative of 3*o**2*w**3 - 216490*o**2*w**2 + 14*w**3 + 61*w**2 + 6*w + 1 wrt o.
6*o*w**3 - 432980*o*w**2
What is the second derivative of -15*p**2*x + 863*p**2 - 69*p*x + 2*p + x - 25 wrt p?
-30*x + 1726
Differentiate -39649*l**3 + l**2 + 2*l - 74988.
-118947*l**2 + 2*l + 2
Find the third derivative of 16*f**3*x**4 - 1966*f**3*x**2 - 56*f**3*x - f**2*x**2 + 169*f*x**4 + 13*f*x**3 wrt x.
384*f**3*x + 4056*f*x + 78*f
Find the second derivative of 3*i**3 - 254*i**2*n**2 - 160*i**2*n + i**2 + 313182*i*n**2 + 2*n - 2 wrt i.
18*i - 508*n**2 - 320*n + 2
What is the first derivative of -187679 | {
"pile_set_name": "DM Mathematics"
} |
o(q) = 14*q - 2. Calculate the remainder when o(1) is divided by 4.
0
Let h be ((-44)/(-5))/(4/20). Suppose -3*r - h = -4*r. Suppose 3*d - 30 = d. What is the remainder when r is divided by d?
14
Suppose 2*v + 10 = 7*v. Suppose -6*g + 184 = -v*g. What is the remainder when g is divided by 12?
10
Let b = -9 - -22. Let f = -68 - -29. Calculate the remainder when b is divided by f/(-9) - (-2)/3.
3
Suppose -o + 4 = -5*u, -o = -2*u - 0 - 4. Suppose -s = -u*s - 28. Suppose 5*k - 61 = 14. Calculate the remainder when s is divided by k.
13
Suppose 3*i = -40 + 97. Suppose -4*l + 216 = 4*k, -k - 218 = -5*k - 2*l. What is the remainder when k is divided by i?
17
Let h = -160 - -282. What is the remainder when h is divided by 32?
26
Let f = -2 + -1. Let r(q) = 4*q**3 + 4*q**2 - q. Let x(y) = y**3 - y - 1. Let s(k) = r(k) - 3*x(k). Calculate the remainder when s(f) is divided by 4.
2
Let h = 4 + 10. Let y = 10 + h. Calculate the remainder when y is divided by 7.
3
Let u be 6/(-8) - (-2)/(-8). Let x = u - 3. Let l = x - -43. Calculate the remainder when l is divided by 14.
11
Let g = -109 + 67. What is the remainder when (-4)/7*g/12 is divided by 2?
0
Let n be 6808/14 + (-4)/14. Let k = 210 - n. What is the remainder when 38 is divided by k/(-14) + 4/14?
18
Suppose -j - 3*j - 20 = -l, 0 = -l - 2*j + 50. Suppose -l = p - 6*p. What is the remainder when 14 is divided by p?
6
Let i be (1 - 2 - 1) + 40. Suppose 0*y = 3*y - 3*p - 42, 0 = -2*y - 3*p + i. Calculate the remainder when y is divided by 6.
4
Let j(i) = -31*i**3 + i**2 + 3*i + 1. Calculate the remainder when j(-1) is divided by 11.
8
Suppose 8*j - 95 = 3*j. Let c be (-4)/14 + (-1976)/(-56). Suppose u = 6*u - c. Calculate the remainder when j is divided by u.
5
Let i(b) = 2*b + 18. Let p be i(-9). Suppose a - 6 = -0*j - j, 3*j - 3*a - 30 = p. Calculate the remainder when 22 is divided by j.
6
Let u(g) = -g**2 - 11*g - 7. Let v be u(-7). Let b = -12 + v. What is the remainder when b is divided by 5?
4
Let z(u) = -5*u - 3. Let x be 3*(-8)/12 + 14. Let k = x - 9. Calculate the remainder when z(-2) is divided by k.
1
Let y(j) = -j**3 + 5*j**2 - 4*j + 4. Let l be y(3). Let c(p) = -p**2 - 9*p - 4. Calculate the remainder when c(-6) is divided by 1*1/2*l.
4
Suppose -2 = -s, 4*s = 3*q - 6*q + 329. Let u be ((-66)/(-5))/((-3)/(-15)). Let y = q - u. What is the remainder when y is divided by 14?
13
Let p = -10 - -13. Suppose 0 = -p*t - t + 48. Calculate the remainder when 34 is divided by t.
10
Suppose 5*s - 15 = -0*s + 5*z, 4*s = z + 9. Calculate the remainder when 2 + 16/(s/1) is divided by 6.
4
Let z = 85 - 55. Let p = z - 0. What is the remainder when 87 is divided by p?
27
Let m = 109 + 51. Calculate the remainder when m is divided by 27.
25
Suppose 3*y + 4 = -4*i, 2*y - 8 = -y - i. Suppose y*s - k - 67 = 0, -4*k = -3 - 1. Calculate the remainder when 32 is divided by s.
15
Let q = -4 - -3. Let c(v) = -5*v - 1. Let b be c(q). What is the remainder when 5 is divided by b + (1 - 1) - 1?
2
Suppose 0 = 4*n - 2*a - 4, -n - a + 3*a = 5. What is the remainder when -20*n/((-15)/4) is divided by 6?
4
Suppose 0 = n - 4*n + 12. Suppose -n*y + 8 = -0*y. Calculate the remainder when 7 is divided by (4/3)/(y/6).
3
Suppose 2*r - 6*r = -220. Let c = r - 23. What is the remainder when c is divided by 11?
10
Let r(d) = -10*d - 19. Suppose -4 = -4*s + 2*a, 3*a - 4 + 5 = s. Let x(p) = 41*p**2 - 2*p + 1. Calculate the remainder when x(s) is divided by r(-4).
19
Suppose 18 + 17 = -g. Let k = -16 - g. Suppose 11 = -3*f + 4*f. Calculate the remainder when k is divided by f.
8
Suppose -3*z + z = -10. Suppose -3*p = -z*a + 50, 0 = -4*a + 3*a - 2*p + 10. What is the remainder when 38 is divided by a?
8
Let c = -134 - -209. What is the remainder when c is divided by 39?
36
Let h(n) = -5*n**3 + 4*n**2 + 3*n. Let g = 5 + -7. What is the remainder when h(g) is divided by 17?
16
Suppose 5*n - 14 = 1. Suppose n*r - 3 = 2*r. Suppose q = 4*i - 1, -q + 43 = 4*q + 4*i. What is the remainder when q is divided by r?
1
Let v(f) = f**2 - 2*f - 7. Let d be v(7). Suppose 0*x = x - 20. Let h = d - x. What is the remainder when 23 is divided by h?
7
Let q be (-4)/(-2) - -7 - 0. Let i(h) = 17*h - 4*h - 4*h - 2 + q*h. Calculate the remainder when i(2) is divided by 12.
10
Suppose -3*d + 4*d = 9. Let u(l) = -9*l + 14 - 5*l**2 + 4*l**2 - 11. What is the remainder when u(-7) is divided by d?
8
Suppose 3*r - r - 49 = -3*v, -5*v = 3*r - 76. Suppose -5*j = -197 - 53. Calculate the remainder when j is divided by r.
16
Let h(b) = 14*b + 4. Let d(u) = -15*u - 3. Let i(z) = 5*d(z) + 4*h(z). Suppose 2*q - 10 = q. What is the remainder when i(-2) is divided by q?
9
Suppose 2*z + 4*k + 12 = 0, 4*k - 6*k = 2*z + 2. Let h be (3 + -5)/4*40. Let m = -10 - h. What is the remainder when m is divided by z?
2
Suppose -4*q = q - 170. What is the remainder when 64 is divided by q?
30
Suppose 0*n + 2*n = 10. Suppose n = -s + 9. Calculate the remainder when 11 is divided by s.
3
Let a be (1 - 0)*16/2. Suppose 4*c + 0*c = 16. Let k = a + c. Calculate the remainder when 34 is divided by k.
10
Suppose 0 = -5*z - 2*k - 368, 0 = -0*z - 3*z + 2*k - 224. Suppose 0 = -r - 4, n + n - 46 = 5*r. Calculate the remainder when z/(-3) - 6/9 is divided by n.
11
Let t(d) = -d**3 + d**2 + d + 16. Calculate the remainder when 78 is divided by t(0).
14
Suppose 4*r + 0*d + 2*d - 130 = 0, -2*d + 98 = 3*r. Calculate the remainder when r is divided by 11.
10
Suppose -10 = -5*o + 55. Calculate the remainder when ((-1)/3)/(1/(-69)) is divided by o.
10
Calculate the remainder when (2/6)/((-2)/(-66)) is divided by (1 - 6)*3/(-5).
2
Let l = -23 - -17. Let j = l - -25. Calculate the remainder when j is divided by 10.
9
Let f be 9/2 - 4/(-8). Suppose 2*d - 3*z + 8*z = 25, 0 = 2*d - f*z + 5. Let k = d + -3. Calculate the remainder when k is divided by 2.
0
Let y(v) = -v**2 - 8*v - 4. Suppose 29 = r - 4*x, -r + 0*r = 3*x - 29. Calculate the remainder when r is divided by y(-6).
5
Let r(n) = -26*n + 2. Let b be r(2). What is the remainder when ((-1)/1)/(2/b) is divided by 9?
7
Suppose -3*r = -2*j - 47, 0 = 2*r - j - 17 - 15. Calculate the remainder when r is divided by 5.
2
Suppose 6*w = 3*w. Suppose w = -3*p - 39 + 117. Suppose -5*j = -6*j + 14. Calculate the remainder when p is divided by j.
12
Suppose 3*j - 15 = 3*u, 2*u - 63 = -5*j - 24. Let r(x) = x**3 - 7*x**2 + 3*x + 4. Calculate the remainder when r(7) is divided by j.
4
Let i = -13 + 13. Suppose 2*f + i*f - 24 = 0. Calculate the remainder when 22 is divided by f.
10
Calculate the remainder when -3 - -1 - 2 - -51 is divided by 24.
23
Suppose 52 + 23 = 3*d. Let z(x) = 2*x - 1. Let t be z(-2). Let c = t - -14. Calculate the remainder when d is divided by c.
7
Suppose -2*k + 90 + 12 = 0. Calculate the remainder when k is divided by 18.
15
Let c(o) = 2*o**2 - 3*o + 8. What is the remainder when c(-4) is divided by 11?
8
Suppose 0 = 3*x + 4*v - 21, v - 8 = -x - 0*x. Calculate the remainder when (64/(1 - 3))/(-1) is divided by x.
10
Suppose 14*d = 192 + 186. What is the remainder when 50 is divided by d?
23
Suppose 0 = -5*t - 4*r + 163, -t + 2*r = 7 - 48. Suppose t = 4*g + g. What is the remainder when g is divided by 3?
1
Suppose -2*b + 108 = 2*q, 112 = 2*b - 2*q + 3*q. Calculate the remainder when b is divided by 31.
27
Suppose 55 = 2*x - 39. Calculate the remainder when x is divided by 24.
23
Let a(w) = w**2 + 6*w. Let p be a(-6). Let m = -79 - -127. Suppose 4*v - m + 4 = p. Calculate the remainder when 30 is divided by v.
8
Suppose -2*a = -g - 210, 5*a - g - 376 = 149. Suppose 7 + 5 = x. What is the remainder when x is divided by a/5*(-1)/(-3)?
5
Let y(l) = l**3 - 5*l**2 + 7*l - 1. Calculate the remainder when 5 is divided by y(3).
1
Let n(w) = -w**3 - 7*w**2 - 4*w - 9. Let k(a) = -6*a**2 - a. Let l be k(1). Let r = 29 - -7. Calculate the remainder when r is divided by n(l).
17
Suppose 5*y = -0*y + 25. What is the remainder when 16 is divided by y?
1
Let w(l) = -3*l**3 - l + 2. Let t = -5 - -2. Let b = t + 1. What is the remainder when w(b) is divided by 10?
8
Let i = 33 + -12. What is the remainder when 59 is divided by i?
17
Suppose 2*k = 5*s + 5 + 8, -s - 4*k = 7. What is the remainder when (-3)/(s/(-3)*-1) is divided by 2?
1
Suppose 10 = 2*y, 10* | {
"pile_set_name": "DM Mathematics"
} |
1/(-5) + (-209)/(-55). Let w be (-20)/(-12) + (-1 - 0). What is the fourth biggest value in w, u, -0.2, 5?
-0.2
Let l be 391/759 + 4/(-12). Let n be (-7)/(-10) - (-32)/40. What is the smallest value in l, -1/8, n?
-1/8
Let z = 25781 - 232024/9. What is the second biggest value in z, 52/19, 1?
1
Let n = 7.973 - 9.073. What is the second biggest value in n, -19, 5?
n
Let l = 2829 + -2829.02. Which is the smallest value? (a) 2/5 (b) -4 (c) l (d) -0.3
b
Let c = 982 - 756. Let p = 222 - c. What is the third smallest value in 2/5, p, -1/13?
2/5
Let d = -36.59 - -38. Let a = 2.91 - d. What is the third biggest value in a, 4, 1?
1
Let v = 47 + -143/3. Let q = 560 + -549. Which is the third smallest value? (a) q (b) -1 (c) v
a
Suppose 3*q + 24 = 4*j, -5 = 2*q + 3. Suppose 0 = -j*b + 4*u - 11, 2*b - 2*u + 4 + 2 = 0. What is the biggest value in 4, -2, b, 1/5?
4
Let i(v) = -v**2 + 4*v - 1. Let s be i(2). Let q = 6.92 - 3.74. Let m = q + -3.14. Which is the biggest value? (a) 2 (b) s (c) m
b
Let u = -22993 + 23081. What is the second biggest value in u, -1, 0.2, 3, 0.08?
3
Let z = 28 + 71. Let q = -99.115 + z. Let x = 0.125 + q. Which is the biggest value? (a) x (b) -0.5 (c) 0.4
c
Let k = -3.7864 + 3.361. Let w = k + 0.0254. Which is the fourth biggest value? (a) w (b) 0.4 (c) 0.13 (d) 1/5
a
Suppose -2*q + 7 = 17. Let m = 22 + 72. Let s = m - 93. Which is the third biggest value? (a) 1/5 (b) -5/6 (c) q (d) s
b
Let x be 3 + (1 - -8) - (-6 - -8). Suppose -15*z + x*z + 10 = 0. Which is the fourth smallest value? (a) -5 (b) z (c) -0.2 (d) 5
d
Let v = -3712.6 + 3713. What is the third biggest value in v, 4, 22?
v
Let k = 86 - 182. Let l = k - -99. Which is the third biggest value? (a) l (b) 3/2 (c) -0.04
c
Let x = 42 - 40. Let u = -999.8 + 1000. Which is the fourth smallest value? (a) u (b) x (c) 5/6 (d) 5
d
Let y be (8*-12)/((-15)/20). Let j = y - 131. Let x(l) = -l - 2. Let v be x(0). Which is the second smallest value? (a) -0.4 (b) -2/11 (c) j (d) v
d
Let c be (20/(-5) + 5)*66/(-165). What is the third biggest value in 2/15, c, -11, 1.2?
c
Let z = -0.34264 + 0.35964. Let k be 2*1/(-6)*-2. What is the third biggest value in z, -0.1, k?
-0.1
Let n = 4.95387 + 0.04613. What is the fourth biggest value in 0.08, n, 1, 0?
0
Let s = -0.0088 - 5.0112. Let f = s + 0.02. Suppose -5*g + 4*x + 30 = 7*x, -4*g = -x - 7. Which is the third biggest value? (a) g (b) f (c) -0.2
b
Let q(u) = 3*u + 64. Let s be q(-19). Suppose s*k = -207 - 185. Which is the smallest value? (a) -0.4 (b) -1/3 (c) k
c
Let b = 0.15 + -0.3. Let n = 81672 + -81670. What is the second smallest value in b, 0.1, -3/7, n?
b
Let g = -2694 - -2696. Which is the biggest value? (a) -16/3 (b) 8 (c) g
b
Let x = -0.04 + -51.96. Let n = 52.79 + x. Let i = 0.39 - n. Which is the biggest value? (a) 4 (b) 2/5 (c) -2 (d) i
a
Let m(t) be the first derivative of -t**2/2 - 7*t - 18. Let f be m(-8). Let p be (-72)/(-81) - (-4)/(-6). Which is the smallest value? (a) f (b) 0.1 (c) p
b
Let t = -1342 + 812. Let v = -528 - t. What is the second biggest value in v, 26, 0?
v
Let w = 9335/9 - 1037. Let r = -13 - -10. Which is the biggest value? (a) w (b) r (c) -3/2
a
Let q = 362.2 + -315.2. What is the smallest value in q, 0, -1?
-1
Let o = 11 - 17. Let p = -767 - -767. What is the third biggest value in -1/3, p, o?
o
Suppose 2*i = -2*b + 16, -2*i + 4*b = 2*i. Let w = -0.061 + -10.939. Let n = 11.3 + w. What is the second smallest value in 5, n, i?
i
Let j = 17 - 16. Let u = -8437/30 + 826/3. Let w = -22/5 - u. What is the third biggest value in 2/9, j, w?
2/9
Let z(v) = v**3 - 17*v**2 + 30*v - 1088. Let o be z(18). Which is the third biggest value? (a) -2/7 (b) 2/5 (c) o
c
Let v = -107/206 + 2/103. Which is the third biggest value? (a) 2/3 (b) 6 (c) 2/17 (d) v
c
Let p be -1*6/(-4)*28/(-6). Let c be -3*(p + (-318)/(-45)). Let r be (-1)/2 + (-25)/(-2). What is the third biggest value in r, c, -1, -1/8?
c
Let r = -203 - -209. Suppose -p = -4*z - 47, -r = 2*p - 12. Which is the second biggest value? (a) 3 (b) z (c) -2
c
Let v = -93.6 - -94. Let m = -1139.5 + 1138. Which is the fourth smallest value? (a) -4 (b) m (c) 0.5 (d) v
c
Let x = -5.07 + -0.53. Let u = x + 6. Let y = u - 0.1. What is the third biggest value in 0.08, y, 0.1?
0.08
Suppose 4*s + 1 - 69 = 0. Let i = -2 + 5. Let r = -372176 + 372172. Which is the biggest value? (a) s (b) i (c) r (d) 5
a
Let p = -0.669 + -0.331. Let b = 4/11 + -5/44. What is the second biggest value in p, b, 2?
b
Suppose -2*s - 5*q - 10 = -7*s, -3*s - 4*q + 20 = 0. Let m be (-2)/s*1/2. Which is the third smallest value? (a) 4 (b) 1 (c) 6 (d) m
a
Suppose -4*i = -p - 23, 5*i = -4*p + 6*i - 2. Which is the smallest value? (a) -0.14 (b) 2/7 (c) 1/4 (d) p
a
Let d = -59 + 163. Let t = 128.7 + -129.2. What is the third biggest value in t, -0.1, d?
t
Let p = 0.1 + 0.9. Let n = 10 + p. Let r be (-2)/60*485 + 11 - 2/(-12). Which is the smallest value? (a) n (b) r (c) 0.5
b
Let q be 56/171 + (3852/228 - 17). Which is the fourth biggest value? (a) -4.5 (b) -3 (c) 2 (d) q
a
Let w = -0.2 - -1.2. Let q be 18/(-246) + (-603)/1845. Which is the biggest value? (a) -1 (b) w (c) q (d) -3
b
Let s = 1596 + -1595.7. Which is the third smallest value? (a) s (b) -1/8 (c) 4 (d) -11 (e) -3
b
Let u be (-420)/(-80)*(-4)/14. Which is the second biggest value? (a) u (b) 2/109 (c) 0.4
b
Let b = 3.15455 + -0.15455. What is the third smallest value in -4, 4, 0, b, -7/8?
0
Let j = 13.6 - 14. Let i = 0 - -0.1. Let v be (-6270)/(-242) - 19 - 7. What is the biggest value in -0.6, v, i, j?
i
Suppose -3*z = 2*q + 7, -29*z = -33*z + 3*q - 15. Let p be 20/(-25)*3/(-4). Let w = 16 + -17. Which is the smallest value? (a) p (b) w (c) -0.5 (d) z
d
Let p(a) = a**3 + 8*a**2 + 9*a + 12. Let h be p(-6). Suppose -6*x + h = -5*x. Let g = 132.5 - 132. What is the smallest value in x, g, -0.2?
-0.2
Let y(w) = 10*w**2 - 8*w - 16*w**2 - 13 + 7*w**2. Let m be y(19). Suppose 15*z = m - 1. What is the biggest value in z, -2/3, 4?
z
Let t = 1259 + -1259.3. What is the smallest value in -0.4, 1, t, 0.5, -25?
-25
Let l be 110/140*(-84)/(-231). Which is the third smallest value? (a) l (b) 4/25 (c) 1/5 (d) -3 (e) -0.5
b
Let h = -0.2 + 1.2. Let y = -142/35 + 27/7. Let f = -2356 - -2355. Which is the second biggest value? (a) y (b) f (c) h
a
Let r = 0.5 + -0.3. Let i be (4113/(-459) + 9)/((-2)/(-6)). What is the fourth biggest value in i, -2, r, 0.4?
-2
Let g = -15211 - -15211. Which is the fourth biggest value? (a) -2 (b) g (c) -58 (d) -5
c
Let n be 0 + 4 - (0 + 1). Let z = -147.68 - -154.68. What is the second smallest value in 4/3, n, z?
n
Suppose -t = 2*d + d - 3, -2*t - 4*d = -6. Let k be (-209)/(-66) - (-2 - (-6)/4). Let h = k - t. What is the second biggest value in h, 1, -3?
h
Let g = 2.03 - 0.03. Let u = 7 - g. Let z(w) = 3*w**3 + 49*w**2 + 130*w - 5. Let s be z(-13). What is the second biggest value in u, -1, s, 1/3?
1/3
Let o = 0.9 + -0.4. Let m = 38 - 184.2. Let c = -148 - m. What is the third biggest value in c, 2, o?
c
Let u = -66.5 - -66.5. Let z = 56.948 + 0.052. Which is the third smallest value? (a) u (b) z (c) 2/9
b
Let n = -2.0438 - -0.0438. What is the third smallest value in n, 1/8, 13/3, 5?
13/3
Let t = 5.1515 + -0.1515. What is the smallest value in -5, t, -0.3, 2/9, -4.6?
-5
Let i = -1.552 + 1.53. Let t = i - 3.978. Let g = 2.6 + -3. Which is the smallest value? (a) 3 (b) -0.3 (c) g (d) t
d
Let d = 0.8 - -0.2. Let k = -13282/3 + 4371. Let n = k + 56. What is the biggest value in 7, n, d?
7
Let a be ((-244)/(-183))/((-256)/24). Let l be 1/4 - 5/12. What is the fourth biggest value in -0.04, a, -5, l?
-5
Let r be (-6)/27 - (1372/180)/(-1). Let p = -301/40 + r. Suppose 13*w - 17*w = 100. Which is the third biggest value? (a) w (b) p (c) 3
a
Suppose -g - 2*g + q + 6 = 0, 4*g - 2*q - 8 = 0. Suppose -73 = 3*l + h, g*h = -l + 2*l + 36. Which is the biggest value? (a) -2/3 (b) -0.2 (c) l
b
Let f = -53/3 - -695/39. Let v = -0.9 - -4.9. Let z = -197 + 1771/9. Which is the second smallest value? (a) v (b) -3 (c) z (d) f
c
Let x = 100 - 100. Let m be (x - 4/12) + -1. Let d = 0.011 + -0.021. Which is the third sma | {
"pile_set_name": "DM Mathematics"
} |
e 10 = 2*w - 0. Suppose -h - 1 = -3*m - w, -4*h + m + 38 = 0. Let q be (h/(-6))/((-8)/24). Solve q*t - f = 2*f - 37, 5*f - 45 = 5*t for t.
-5
Let m(p) = 29*p. Let f be m(0). Solve -y + 8 = 4*c, 0 = 4*y - f*y - c + 19 for y.
-4
Let l be (56/(-252))/((-1)/18). Suppose -l*n = 3*c + 1 - 3, -5*c + 8 = 2*n. Solve -5*f - 5*g = 0, 0*f + 3*g + c = -2*f for f.
2
Suppose -2*n - n + b = -79, 25 = n + b. Let w(q) = -7*q + 183. Let h be w(n). Suppose 2 = s - 3. Solve s*d - 5*v = 0, v - 3 = -h for d.
2
Suppose 2*m - 3*m - 2*k - 6 = 0, 5*m + 2*k = -6. Suppose 3*d - 9 = 5*n - 9*n, 5*d + 2*n - 29 = m. Solve 5*j + h - 3 = 0, d - 1 = -3*h for j.
1
Suppose -1445 = 7*b - 10076. Suppose 1231*a - b*a = -24. Solve a = -2*j - 4*r, 5*j - j + 2*r + 18 = 0 for j.
-4
Let c = -5 + 10. Let f = 6 - 3. Let k be (1 + 0)/((-1)/(-7)). Solve -c*l + k = s + f*s, 9 = 3*l for s.
-2
Let u(q) = 2*q - 143. Let i be u(0). Let l = 168 + i. Let d be (20/8 + -2)*0. Solve 5*v + w + l = d, 4*v + 3*w - 4 = -24 for v.
-5
Let m be (-6)/(-14)*((-20 - -8) + 19). Solve -4*b = -2*p - 16, -m*p = -p + b - 4 for p.
0
Let a = -5805 + 5807. Solve 4 - 1 = t, -a*g = 2*t - 14 for g.
4
Suppose 3*w - r = 75, 4*w - 4*r + 3*r = 101. Let f(i) = -2*i + 57. Let g be f(w). Solve -3*y + 18 = 2*p, -g*y + 0*p - p + 23 = 0 for y.
4
Suppose 555*f = -z + 551*f + 6, z - 4*f + 2 = 0. Solve 2 = -z*v + 2*o, -4*o = 10*v - 6*v - 4 for v.
0
Let r(y) = -3 - y + 1 + 2. Let w be r(-6). Let g = -83 - -83. Solve h - 4*h + 3*a - w = 0, 2*h + 2*a + 12 = g for h.
-4
Suppose -9*b = 119*b. Solve -6 = -4*s - 2*q, -5*s + 3*q - q + 3 = b for s.
1
Let u be (-9)/(-2)*120/45. Let i = 10 - u. Let s be (-9)/i*14/21. Solve -5*k + s*x - 9 = 7*x, 0 = 3*k + 4*x + 7 for k.
-1
Let h be (-28)/(-5) + 34/85. Let m(x) = 2*x - 3. Let q be m(h). Solve 2*t = 3*u + q, 5*u = -0*t + 5*t - 20 for t.
3
Let r = 6285 - 6074. Solve 5*a + 214*n = r*n - 19, -3*n = 2*a + 13 for a.
-2
Suppose -3*j = 3*m - 774, 0 = j - 6*j - 4*m + 1293. Suppose -6*u = 147 + j. Let g = -67 - u. Solve -2*h + 8 + g = d, 4*d - 21 = -3*h for h.
3
Let n(m) = 2*m**2 + 55*m + 89. Let z be n(-26). Solve 3*a + 16*y + 14 = z*y, -2*y = -2*a - 4 for a.
-3
Let x = 46 + -43. Let u be x/8 + 154/16. Suppose -4*z + 1 = -5*c + 30, -c + 5*z = -u. Solve 0 = 4*b - 2*h, -5*b - 3*h - 1 = -c*h for b.
-1
Let t be 2*1/(-3)*(29 + -23) - -8. Solve 0 = 3*f + t*r + 4, 2*f = -f + 2*r + 2 for f.
0
Let f(p) = 100*p - 79. Let h be f(5). Let s = -392 + h. Solve 2*l + 2*l = -5*i + s, 2*l + 3*i - 17 = 0 for l.
1
Suppose 2*b = -5*u + 31, -5*u + 2*b + 26 = 7. Solve -8*v - i + 3 = -6*v, -u*v = 3*i - 7 for v.
2
Let b(f) = f**3 + 5*f**2 + 25*f + 89. Let w be b(-4). Solve -2*k - 17 - 3 = -4*x, -w*x - 3*k + 14 = 0 for x.
4
Suppose -48 = -4*d + 2*r, 4527*r - 4529*r = -d. Solve 3*p - 4*i = -6, -21*i + d*i = 2*p - 19 for p.
2
Suppose -4*a = -g - 4, -5*a + 27*g - 28*g = 4. Solve a = -3*y + n + 24 - 4, -y + n = -8 for y.
6
Suppose q = -5*r - 34 + 140, 3*q - 3 = 0. Solve 2*p - 1 = m, -14*p = -5*m - 17*p + r for m.
3
Suppose 3*g + 35*f - 30*f = 99, 15 = 5*f. Solve 5*x + d + 19 = 4*d, 4*x + g = -4*d for x.
-5
Let h be (6/(-15))/(-1)*1*180. Let z be ((-1)/((-2)/2))/(6/h). Suppose 2*i = z*i - 20. Solve 0 = -3*m - 2*u + 11, -i*m + 0*m + 12 = -u for m.
5
Let u be 15 - 52/(0 - -4). Solve 2*g + 4*q - 5*q - 5 = 0, 0 = -u*q + 10 for g.
5
Suppose -395 = 57*y + 4222. Let r(q) = -2*q**2 - 16*q + 15. Let o be r(-12). Let z = y - o. Solve z = -5*f + 2*x + 5, -5*x - 15 = -5*f + 5 for f.
-1
Let f(k) = k + 48. Suppose -5*o - 3*c - 50 = 11, -2*o - 5*c = 32. Let n be f(o). Let y = n - 35. Solve -3*r = -q - 10, -5*q - 17 = -y*r - 2*r for r.
3
Let g = -7 + 11. Let h = 61954 + -61923. Solve 3*c + h = -4*t, 5*t = -g*c - 48 + 8 for t.
-4
Suppose r - 5*g - 4 - 25 = 0, 0 = 4*r - g - 59. Suppose 4*d = r*d - 70. Solve 27 = -4*j + d*j - 4*m, -3*j = -2*m - 21 for j.
5
Let f(g) = 16 + 68*g**2 - 130*g**2 + 63*g**2 + 9*g. Let c be 4/(-18) + 316/(-36). Let x be f(c). Solve -5*o + 4 + 2 = -4*i, -5*i = -2*o + x for i.
-4
Let a(n) = n**3 - 5*n**2 - 12*n - 10. Let u be a(7). Suppose -u*z = -z + 9. Let m be (4 - 3) + (0 - z). Solve 0*d + 22 = d + 5*r, -m*r + 23 = -d for d.
-3
Suppose 131 - 236 = -7*l. Suppose 2*b - x - 4*x = 6, 0 = -5*b - x + l. Solve j = 2*c - 0*j + 1, -3 = 5*c - b*j for c.
0
Suppose -8*s - 25 = -65. Suppose 0 = 4*q - s*a - 1, 5*q - 2*a = 3*a + 5. Suppose 20 = q*k + 12. Solve k*p + 3*w - 24 = -w, -p = -5*w + 16 for p.
4
Let v(z) = -18*z**3 + z + 1. Let m be v(-1). Let k(x) = 131*x - 1832. Let q be k(14). Solve q*d = -5*g - 22 + 6, 3*g + 4*d = -m for g.
-2
Let k = -23 + 30. Suppose 3*h = 4*w - k, h = w - 6*w + 4. Let f be -2 + 3/1 + w. Solve -m + 2*i = 4, f*m + 2*i - 4*i + 4 = 0 for m.
0
Let v = 477 + -477. Suppose 5*a - 18 = 12. Solve 3*m = 5*b + a, -6 = 2*b - v for m.
-3
Let n(r) = -2*r**2 - 178*r - 2648. Let q be n(-70). Solve j - 5*g = -13, -4*j + q = 4*g - 8 for j.
2
Let c(m) = 76*m + 4183. Let k be c(-55). Solve 31 = k*l - 4*q, 7 = 4*l + 3*q - 1 for l.
5
Suppose -329*u + 188*u + 1056 = 211*u. Solve -4*y + 19 = -u*f + 4*f, -2*y + 11 = f for f.
3
Suppose 66*w - 162 = 57*w. Let l(b) = 2*b**2 - 38*b + 41. Let t be l(w). Solve -4*d + t*s = 7, 2*s - 2 + 4 = 0 for d.
-3
Let d be -1 + (-4)/(-12) + (-64)/(-6). Suppose -5 + 55 = d*f. Solve -4*i = c + 25, f*i + 19 + 11 = -c for c.
-5
Let n(x) = -x**2 - 14*x - 31. Let l be n(-5). Suppose -l*a + 73 - 3 = 0. Solve -11 = -2*m - 3*c, 4*c + 6 = a*m - 10 for m.
4
Let b(l) = 5*l**2 + 8*l + 6. Let u be b(-3). Suppose u = -6*h + 39. Solve -3*s + 4*m = -h, 4*s - 3*m + 7*m = 12 for s.
2
Suppose 0 = -12*c + 7*c + 40. Suppose -3*o + 13 = 2*l, -16 = -c*l + 3*l - 2*o. Let s be (-9)/l*8/(-12). Solve 0 = j + j - s*f - 11, -5 = 5*f for j.
4
Suppose -185*x + 60 = -331*x + 166*x. Solve -i = n - 4*n + 13, x*i + 6 = -2*n for n.
3
Let g(d) = d**2 + 12*d + 3. Let v(p) = 3*p - 93. Let z be v(27). Let l be g(z). Suppose -1 - 3 = -b. Solve -15 = -l*c + b*h, -3*c + 0*h = h - 15 for c.
5
Let h(i) = -2*i**2 + 54*i - 245. Let d be h(21). Solve -4*p = 3*v - d*v - 20, -15 = -3*p - 5*v for p.
5
Let k(r) = 3*r**3 + r**2 + 10*r - 17. Let p be k(3). Suppose 0 = -p*l + 84*l. Solve l = -c - c - 4*y + 6, -4*y - 12 = -4*c for c.
3
Suppose 0 = 23*k - 18*k - 10. Suppose -2*o - 57 = -5*o. Suppose -4*v - k*t = -22, 3*v + 2*t - o + 0 = 0. Solve 3*x = p - 0*p + 2, -p - 2*x + v = 0 for p.
1
Suppose 10*a - 9*a = 0. Suppose 5*x + 5*r - 15 = a, -x + 3*r - r = 0. Solve 0 = -3*z, 5 = -3*c + x*c - 2*z for c.
-5
Suppose q + 12 = -f - 389, -4*f - 804 = 2*q. Let o be (q/16)/(0 - 1). Solve -4 = t + 3*t, o = -4*i - 5*t for i.
-5
Suppose n = -z + 49, -2*n + 36 + 77 = -z. Let t(v) = 1 + 6 + n - 3*v. Let p be t(19). Solve 18 = -5*c + p*g, -4*c - c - 3*g = 4 for c.
-2
Let x = -74 + 74. Let q be x/(-11) + -2*(-15)/6. Solve l - 10 = 4*l - 4*y, q = 5*y for l.
-2
Let p(o) = -34*o**2 - 2*o - 2. Let n = -8 + 7. Let s be p(n). Let l = s - -37. Solve -b = -2*f - l*b + 4, f = 2*b + 11 for f.
5
Let h be -1 + (2 - -12)*4. Let a = -56 + h. Let c be (a/1 - 1) + 19. Solve 3*o - 2*y + 9 = 0, 0*o + o + c = -4*y for o.
-5
Let t be (((-6)/(-12))/1)/(11/264). Solve -12 = -4*z - 3*l, 51*z + t = 49*z + 3*l for z.
0
Suppose 19*w = 42 + 15. Solve 2*t = d - 14, w*d + d - 3*t - 31 = 0 for d.
4
Suppose -9*s + 4*s + 20 = 0. Suppose s - 8 = f, -3*b - 3*f - 3 = 0. Solve 5*l = b*q + 16, -2*q + 2 = -4*l + 14 for q.
-2
Let h be 5/20*-10*(-2 + 0). Solve -h*b + 10 = 2*n, 5*n = 4*b + 2*n - 31 for b.
4
Let q(v) be the first derivative of v**3/3 + 11*v**2/2 - 20*v + 12. Suppose -5*n + 10 = 80. Let o be q(n). Solve f - 2*x + o = -3*f, 3*x = f + 8 for f.
-5
Suppose 0 = -76*r - 42*r + 1534. Solve 8*q = 3*q + 15, q = -2*i + r for i.
5
Let t = -35 + 41. Let u = -64 + 64. Suppose 11*g - 10*g = u. Solve -s = x - g*x - 1, t = x - 4*s for x.
2
Let m be 1/(-4) - (-747)/12. Suppose 3*g = 4*p - 0*p + 158, 244 = 4*g + 3*p. Let o = m - g. Solve n + 5 = -o*q, -5*q + 3*q - 15 = 3*n for n.
-5
Let r(p) = 4*p**2 - 1531*p - 1530. Let u be r(-1). Solve -12 = 3*o - 3*d, -u*o = -d + 11 + 13 for o.
-5
Let x(w) = -22*w + 178. Let g = 17 + -9. Let s be x(g). Solve -1 - 2 = 4*v + 5*l, 0 = -2*v - s*l - 2 for v.
-2
Let t(z) = -z**3 - 3*z**2 - z + 3. Let c be t(-2). Let i = -20 + 25. Suppose i*u - 5*x = 20, -3*x - 2*x = u + 20. Solve g - | {
"pile_set_name": "DM Mathematics"
} |
3
What is the tenth root of 26962 to the nearest integer?
3
What is the square root of 2251 to the nearest integer?
47
What is the cube root of 8816 to the nearest integer?
21
What is the ninth root of 33543 to the nearest integer?
3
What is the fourth root of 76290 to the nearest integer?
17
What is 21096 to the power of 1/3, to the nearest integer?
28
What is the square root of 6807 to the nearest integer?
83
What is 3208 to the power of 1/2, to the nearest integer?
57
What is 20622 to the power of 1/2, to the nearest integer?
144
What is 8012 to the power of 1/2, to the nearest integer?
90
What is the third root of 208 to the nearest integer?
6
What is 24597 to the power of 1/7, to the nearest integer?
4
What is 31279 to the power of 1/5, to the nearest integer?
8
What is 18658 to the power of 1/5, to the nearest integer?
7
What is 4397 to the power of 1/3, to the nearest integer?
16
What is 53681 to the power of 1/3, to the nearest integer?
38
What is 15428 to the power of 1/2, to the nearest integer?
124
What is 1484 to the power of 1/3, to the nearest integer?
11
What is 865 to the power of 1/5, to the nearest integer?
4
What is the fourth root of 9885 to the nearest integer?
10
What is the ninth root of 867 to the nearest integer?
2
What is 2851 to the power of 1/2, to the nearest integer?
53
What is the cube root of 512 to the nearest integer?
8
What is the cube root of 4079 to the nearest integer?
16
What is the square root of 8830 to the nearest integer?
94
What is 4601 to the power of 1/9, to the nearest integer?
3
What is the sixth root of 4541 to the nearest integer?
4
What is the square root of 7181 to the nearest integer?
85
What is 31041 to the power of 1/6, to the nearest integer?
6
What is 13741 to the power of 1/8, to the nearest integer?
3
What is the square root of 108886 to the nearest integer?
330
What is the third root of 2825 to the nearest integer?
14
What is the cube root of 1136 to the nearest integer?
10
What is the third root of 1052 to the nearest integer?
10
What is the third root of 17880 to the nearest integer?
26
What is the square root of 28471 to the nearest integer?
169
What is the square root of 339 to the nearest integer?
18
What is the square root of 64331 to the nearest integer?
254
What is the square root of 16711 to the nearest integer?
129
What is the cube root of 697 to the nearest integer?
9
What is the ninth root of 31137 to the nearest integer?
3
What is the fourth root of 773 to the nearest integer?
5
What is the sixth root of 6471 to the nearest integer?
4
What is the cube root of 1093 to the nearest integer?
10
What is the square root of 12848 to the nearest integer?
113
What is 1987 to the power of 1/7, to the nearest integer?
3
What is the ninth root of 2364 to the nearest integer?
2
What is 52679 to the power of 1/3, to the nearest integer?
37
What is 1988 to the power of 1/6, to the nearest integer?
4
What is the eighth root of 35770 to the nearest integer?
4
What is the eighth root of 8773 to the nearest integer?
3
What is the ninth root of 1696 to the nearest integer?
2
What is 22821 to the power of 1/3, to the nearest integer?
28
What is the cube root of 7868 to the nearest integer?
20
What is 21643 to the power of 1/2, to the nearest integer?
147
What is 24260 to the power of 1/2, to the nearest integer?
156
What is the eighth root of 312 to the nearest integer?
2
What is 3944 to the power of 1/4, to the nearest integer?
8
What is 42 to the power of 1/2, to the nearest integer?
6
What is 858 to the power of 1/2, to the nearest integer?
29
What is 1092 to the power of 1/2, to the nearest integer?
33
What is the sixth root of 857 to the nearest integer?
3
What is the third root of 36586 to the nearest integer?
33
What is the third root of 103525 to the nearest integer?
47
What is the fifth root of 60350 to the nearest integer?
9
What is the tenth root of 5297 to the nearest integer?
2
What is the eighth root of 6698 to the nearest integer?
3
What is 181 to the power of 1/3, to the nearest integer?
6
What is the square root of 2210 to the nearest integer?
47
What is 1094 to the power of 1/3, to the nearest integer?
10
What is the eighth root of 158 to the nearest integer?
2
What is the square root of 441 to the nearest integer?
21
What is the cube root of 31463 to the nearest integer?
32
What is the cube root of 8434 to the nearest integer?
20
What is the seventh root of 3736 to the nearest integer?
3
What is 1098 to the power of 1/4, to the nearest integer?
6
What is the third root of 8207 to the nearest integer?
20
What is 14811 to the power of 1/2, to the nearest integer?
122
What is 725 to the power of 1/3, to the nearest integer?
9
What is the ninth root of 164 to the nearest integer?
2
What is the tenth root of 1196 to the nearest integer?
2
What is the sixth root of 6583 to the nearest integer?
4
What is 1443 to the power of 1/2, to the nearest integer?
38
What is the square root of 25227 to the nearest integer?
159
What is the cube root of 3619 to the nearest integer?
15
What is 85621 to the power of 1/3, to the nearest integer?
44
What is 11835 to the power of 1/8, to the nearest integer?
3
What is the square root of 8917 to the nearest integer?
94
What is 51320 to the power of 1/2, to the nearest integer?
227
What is 139757 to the power of 1/2, to the nearest integer?
374
What is the fourth root of 6554 to the nearest integer?
9
What is 4794 to the power of 1/5, to the nearest integer?
5
What is the square root of 889 to the nearest integer?
30
What is the fourth root of 1318 to the nearest integer?
6
What is 6499 to the power of 1/9, to the nearest integer?
3
What is the tenth root of 72856 to the nearest integer?
3
What is the square root of 442 to the nearest integer?
21
What is the square root of 1715 to the nearest integer?
41
What is the eighth root of 12160 to the nearest integer?
3
What is 591 to the power of 1/3, to the nearest integer?
8
What is the square root of 960 to the nearest integer?
31
What is the third root of 69488 to the nearest integer?
41
What is the eighth root of 1382 to the nearest integer?
2
What is 3680 to the power of 1/8, to the nearest integer?
3
What is the cube root of 6257 to the nearest integer?
18
What is 24452 to the power of 1/2, to the nearest integer?
156
What is 2863 to the power of 1/2, to the nearest integer?
54
What is 23274 to the power of 1/9, to the nearest integer?
3
What is 829 to the power of 1/3, to the nearest integer?
9
What is the square root of 2790 to the nearest integer?
53
What is 68 to the power of 1/3, to the nearest integer?
4
What is 4673 to the power of 1/2, to the nearest integer?
68
What is 1884 to the power of 1/5, to the nearest integer?
5
What is 29845 to the power of 1/9, to the nearest integer?
3
What is the cube root of 1016 to the nearest integer?
10
What is 644 to the power of 1/2, to the nearest integer?
25
What is the square root of 72343 to the nearest integer?
269
What is the eighth root of 13078 to the nearest integer?
3
What is the square root of 1541 to the nearest integer?
39
What is 472 to the power of 1/2, to the nearest integer?
22
What is 1909 to the power of 1/2, to the nearest integer?
44
What is the seventh root of 764 to the nearest integer?
3
What is the tenth root of 1183 to the nearest integer?
2
What is the cube root of 5845 to the nearest integer?
18
What is 5067 to the power of 1/5, to the nearest integer?
6
What is 24085 to the power of 1/4, to the nearest integer?
12
What is the ninth root of 33 to the nearest integer?
1
What is 11819 to the power of 1/3, to the nearest integer?
23
What is the cube root of 687 to the nearest integer?
9
What is the cube root of 2949 to the nearest integer?
14
What is the fifth root of 739 to the nearest integer?
4
What is 39813 to the power of 1/5, to the nearest integer?
8
What is 90162 to the power of 1/9, to the nearest integer?
4
What is the seventh root of 16552 to the nearest integer?
4
What is 5465 to the power of 1/2, to the nearest integer?
74
What is the cube root of 153234 to the nearest integer?
54
What is 57995 to the power of 1/2, to the nearest integer?
241
What is 2364 to the power of 1/8, to the nearest integer?
3
What is the e | {
"pile_set_name": "DM Mathematics"
} |
nded to the nearest 100?
20900
What is -406.6669799 rounded to the nearest 10?
-410
Round -55.15766578 to 2 decimal places.
-55.16
What is 0.000652990299 rounded to five decimal places?
0.00065
What is 39.57601092 rounded to the nearest 10?
40
Round -0.002051869704 to six decimal places.
-0.002052
Round -0.00075136491 to 4 dps.
-0.0008
What is 0.00019597162 rounded to 5 dps?
0.0002
What is 232912.028 rounded to the nearest one thousand?
233000
What is 89798.8692 rounded to the nearest ten?
89800
Round 198.79465453 to the nearest ten.
200
Round -358.395931 to the nearest 100.
-400
Round -36452265000 to the nearest 1000000.
-36452000000
Round -4178.911 to the nearest one thousand.
-4000
What is 6.18219448 rounded to zero decimal places?
6
What is -0.00557430854 rounded to 3 dps?
-0.006
What is 0.012278990374 rounded to seven dps?
0.012279
What is -612.686748 rounded to one decimal place?
-612.7
Round 0.000001239657949 to 7 dps.
0.0000012
What is -89847437.5 rounded to the nearest ten thousand?
-89850000
Round -225359845.59 to the nearest 100000.
-225400000
Round -6868.349 to the nearest ten.
-6870
Round 0.00332144837 to six decimal places.
0.003321
Round 0.000052776197 to six decimal places.
0.000053
What is 140271913 rounded to the nearest one hundred thousand?
140300000
What is -433000.92 rounded to the nearest 100000?
-400000
What is 0.050168483 rounded to 2 decimal places?
0.05
What is 5623799.1 rounded to the nearest one hundred thousand?
5600000
What is 7524413.2 rounded to the nearest one thousand?
7524000
Round -0.00294417091 to four dps.
-0.0029
Round 0.94543222 to 4 decimal places.
0.9454
What is -51008.9587 rounded to the nearest 1000?
-51000
What is 130.444267 rounded to 1 decimal place?
130.4
What is 701779.839 rounded to the nearest 10000?
700000
What is -0.00156370517 rounded to 4 dps?
-0.0016
Round 0.0001419229888 to seven dps.
0.0001419
What is -19241.6702 rounded to zero decimal places?
-19242
Round -493.8098 to the nearest 10.
-490
What is 1.32301349 rounded to 1 dp?
1.3
What is 7172.4937 rounded to the nearest ten?
7170
What is -0.0256626395 rounded to three dps?
-0.026
What is -1727.733839 rounded to 2 decimal places?
-1727.73
Round -26.148971 to one dp.
-26.1
What is -0.2448853149 rounded to four dps?
-0.2449
What is -0.0001942790737 rounded to 5 decimal places?
-0.00019
Round -89293455.7 to the nearest 1000000.
-89000000
Round -0.00479487443 to five decimal places.
-0.00479
What is 0.0863902627 rounded to 2 dps?
0.09
Round 26175545.74 to the nearest one hundred thousand.
26200000
Round 836.97882 to 1 dp.
837
Round -24528452 to the nearest 1000000.
-25000000
Round 0.0311953153 to 2 decimal places.
0.03
What is 2083433378 rounded to the nearest one hundred thousand?
2083400000
Round -267.791997 to 2 dps.
-267.79
What is -16237542 rounded to the nearest 100000?
-16200000
Round -6707109.372 to the nearest 1000000.
-7000000
Round 46401668.9 to the nearest ten thousand.
46400000
What is 925.75595 rounded to 0 dps?
926
Round -0.0172983 to 5 decimal places.
-0.0173
Round 101001648.94 to the nearest one thousand.
101002000
What is -315.072328 rounded to one decimal place?
-315.1
Round 254.644869 to two dps.
254.64
Round 200052252 to the nearest one hundred thousand.
200100000
What is -0.03838657322 rounded to three decimal places?
-0.038
What is -0.00000078909 rounded to 7 decimal places?
-0.0000008
What is 0.000195103291 rounded to five decimal places?
0.0002
What is -52938.38136 rounded to the nearest 10?
-52940
Round 0.024093312 to two dps.
0.02
What is -3.783870077 rounded to three dps?
-3.784
What is 28.892375 rounded to one dp?
28.9
Round -0.0120340284 to four dps.
-0.012
What is -0.000000064380926 rounded to 6 dps?
0
What is -2.942856114 rounded to 4 dps?
-2.9429
What is 1.3126754071 rounded to 2 decimal places?
1.31
Round -0.0148415244 to three dps.
-0.015
Round -2164.1477 to the nearest one hundred.
-2200
Round 321.877068 to one dp.
321.9
Round 45377.4622 to the nearest 10.
45380
Round 0.00008035117435 to five decimal places.
0.00008
Round -601.3987365 to one decimal place.
-601.4
Round 28.20635529 to the nearest integer.
28
Round -2.201992283 to two decimal places.
-2.2
What is -14653022.46 rounded to the nearest 1000?
-14653000
What is -21133482.2 rounded to the nearest 100000?
-21100000
Round -12268.7198 to the nearest one hundred.
-12300
What is 263512.5658 rounded to the nearest 10000?
260000
Round -0.002401732 to five dps.
-0.0024
Round -6477068.3 to the nearest 100000.
-6500000
What is 159.20364787 rounded to 3 decimal places?
159.204
Round -5808102850 to the nearest 1000000.
-5808000000
What is 0.001813142831 rounded to four dps?
0.0018
What is -0.001707977371 rounded to 7 decimal places?
-0.001708
What is -0.09345350476 rounded to 2 dps?
-0.09
Round 23179.843 to the nearest 10000.
20000
What is 1269597324 rounded to the nearest 100000?
1269600000
What is -0.49826576 rounded to 5 decimal places?
-0.49827
What is -0.123439149 rounded to 5 dps?
-0.12344
What is 20606.9367 rounded to the nearest 100?
20600
What is 2563760110 rounded to the nearest one hundred thousand?
2563800000
Round 24.3214752 to three dps.
24.321
Round 0.0000677664532 to five decimal places.
0.00007
Round -0.00000734607333 to seven decimal places.
-0.0000073
Round -10858256.418 to the nearest 10000.
-10860000
Round -4464.898723 to zero decimal places.
-4465
What is -4982.445818 rounded to zero decimal places?
-4982
Round -2271.4189 to the nearest 10.
-2270
What is -374920710 rounded to the nearest 100000?
-374900000
What is 0.06640502078 rounded to five dps?
0.06641
What is -45207258.3 rounded to the nearest 100000?
-45200000
Round 2849.49845 to one decimal place.
2849.5
What is 0.006661164461 rounded to 5 dps?
0.00666
What is -0.000023466085 rounded to 5 dps?
-0.00002
What is 17378202.3 rounded to the nearest one hundred thousand?
17400000
Round -0.214954152 to 3 dps.
-0.215
Round -0.00506031143 to six dps.
-0.00506
What is -0.009555652331 rounded to three decimal places?
-0.01
Round 0.000319809501 to 5 dps.
0.00032
Round 0.00410310922 to 5 decimal places.
0.0041
Round 11971.57853 to the nearest 100.
12000
Round 250680144800 to the nearest 1000000.
250680000000
Round 1572.244 to the nearest integer.
1572
Round -1.02839184 to one dp.
-1
What is -0.00793384 rounded to two decimal places?
-0.01
Round 5169691.98 to the nearest 1000.
5170000
Round 0.0002248769 to 4 decimal places.
0.0002
What is -6.1587529 rounded to three decimal places?
-6.159
Round -913603.801 to the nearest 100000.
-900000
What is -0.0002683070142 rounded to seven dps?
-0.0002683
Round 1841.283304 to the nearest 1000.
2000
What is -2257.7891 rounded to the nearest ten thousand?
0
Round 4.6135937 to 2 dps.
4.61
Round -2.4419102589 to 3 decimal places.
-2.442
Round -3700.12005 to the nearest 100.
-3700
What is -5117679.45 rounded to the nearest 100?
-5117700
What is 0.0021355728 rounded to 3 dps?
0.002
Round 0.000180226042 to seven dps.
0.0001802
What is 0.00801734105 rounded to five decimal places?
0.00802
Round 0.0006860443992 to seven decimal places.
0.000686
Round 0.0000018242705 to six dps.
0.000002
Round 51305993.4 to the nearest one hundred thousand.
51300000
What is -198.921689 rounded to the nearest integer?
-199
What is 3761425.52 rounded to the nearest 100000?
3800000
What is 34205.3548 rounded to the nearest integer?
34205
Round -10117408450 to the nearest one hundred thousand.
-10117400000
Round 4071250770 to the nearest one million.
4071000000
What is -560165.791 rounded to the nearest 100?
-560200
What is -187.595822 rounded to the nearest ten?
-190
What is 0.0000064796047 rounded to 6 dps?
0.000006
What is 1216088.331 rounded to the nearest 100?
1216100
Round -155737061.55 to the nearest one hundred thousand.
-155700000
What is 0.070482111 rounded to two decimal places?
0.07
Round -0.0013865171 to six dps.
-0.001387
What is 37.295768 rounded to 1 dp?
37.3
What is 0.0000056857129 rounded to 6 dps?
0.000006
What is -5339675.38 rounded to the nearest one hundred thousand?
-5300000
What is -6679.94448 rounded to the nearest one thousand?
-7000
What is 0.0002151763417 rounded to five dps?
0.00022
Round -2.6035542 to 1 dp.
-2.6
Round -2409880.03 to the nearest 100000. | {
"pile_set_name": "DM Mathematics"
} |
give n.
-183
Express (-j**2 + 3*j**2 + 0*j**2)*(-3*j + 73 - 73 - 113*j) as q*j + v + s*j**2 + m*j**3 and give m.
-232
Express (2 + 5 - 4)*(-o + 7*o - 4*o)*(4*o - 4 + 4) as w*o**2 + k*o + l and give w.
24
Rearrange -7*k - 18*k + 25*k - 11*k to o*k + z and give o.
-11
Express 13 + 0*v**2 + 2*v - 3*v - v**2 as w + d*v**2 + p*v and give d.
-1
Rearrange -u**2 - 7*u**2 + 4*u**2 - 5 to the form x + y*u + g*u**2 and give g.
-4
Express 16*s - 29*s - 16*s - 1 + 3 in the form h + n*s and give h.
2
Express (62*g + 667 - 667)*(-3 + 1 + 1) as s + m*g and give m.
-62
Rearrange -30*i**2 - i - 9 + i + 27*i**2 to n + f*i + c*i**2 and give c.
-3
Express 4*j + j - 4*j + (-3*j - 4 + 4)*(-1 + 1 + 1) - 3*j + 0 + 0 + 3*j - 4*j + 1 + 0*j as m*j + v and give v.
1
Rearrange ((4 - 4 + o)*(3*o - 17*o - 4*o) - 3*o**2 - 2*o**2 + 3*o**2)*(3*o - 3*o + 2*o**2) to i + r*o**2 + u*o**4 + v*o**3 + z*o and give u.
-40
Express -4*s**4 + 2*s + 2*s**4 + 3*s**3 - 5*s + 11*s**2 + s as m*s**2 + b*s**3 + j*s + f*s**4 + z and give b.
3
Express -2*u - 2*u**2 + 4*u**2 + 1 + 6*u**3 + 2*u**2 + 3*u as i*u**2 + s + b*u + x*u**3 and give i.
4
Express (2 + 2 - 2)*(2 - 3 - 1)*(71 - 71 - 17*t**4) + 10 + 5*t**4 - 10 in the form k*t**4 + a*t**3 + l*t + z + v*t**2 and give l.
0
Express (0*d**3 + 3*d**3 + 0*d**3)*(2 + d - 6 - 2)*(5 - 2 - 2) as n + x*d**4 + s*d**2 + h*d + y*d**3 and give y.
-18
Express (0*v + 1 + 3*v + 0*v)*(2 - 8 - 1) as g*v + b and give b.
-7
Express (2*w - w - 2*w + (1 + 2 - 1)*(2*w + 2*w - 3*w) + w + 2*w - 2*w + w + 3*w - 3*w)*(-w - 2*w - w) as d*w**2 + a*w + b and give d.
-12
Rearrange 6*k**2 - 4*k**2 + 7*k**3 + 2*k - 3*k**2 to the form b + s*k**3 + r*k + z*k**2 and give b.
0
Express -73*t - 10*t**3 + t**2 - 3*t**4 + 5*t**4 + 72*t as o*t**4 + z + q*t**2 + v*t + n*t**3 and give o.
2
Rearrange -2*m - 3 + 3 - 15 - 15 to the form v + j*m and give v.
-30
Rearrange -19 - 20*p**2 + 18*p**2 + 7 to the form c + g*p + i*p**2 and give c.
-12
Rearrange 2*z**2 - 1 + 2 + 7*z**4 - 5*z**4 to the form h*z**2 + o*z + j + l*z**4 + b*z**3 and give j.
1
Express (-3*g**2 + 5*g**2 - 4*g**2)*(1 + 3 - 3)*(560 - 278 - 284) as b*g**2 + c + u*g and give b.
4
Express (2 + 5*m - 2)*(m + 6*m - m)*(-m + 1 - 1) in the form l + z*m**3 + y*m + t*m**2 and give z.
-30
Rearrange -70 + 127 - 146*b - 57 to v + z*b and give z.
-146
Rearrange 0*v**3 + 0*v**2 - v**3 + 3*v**2 to the form m*v**3 + y*v**2 + l + f*v and give m.
-1
Rearrange -13*r - 150 + 150 to the form s*r + q and give s.
-13
Express -2*r + 0*r - r - r + 2*r + r + (-r - 3*r + 2*r)*(0 - 3 + 1) - 3*r + 5*r - r + (1 - 1 - r)*(1 - 1 - 2) + 3*r - r - 7*r as y*r + w and give y.
1
Rearrange -5*r**2 + 7*r**2 + 3*r + 3*r to the form k*r + c + d*r**2 and give k.
6
Express (-3*x**3 - 3*x**3 + 5*x**3)*(-3 - 2 + 2) + (-4 + 1 + 2)*(0*x**3 + x**3 + 8*x**3) as t*x**3 + l*x**2 + h*x + m and give l.
0
Rearrange -11 - 65 - 41 - 24 - l to y + m*l and give m.
-1
Express 2 + 2 - 2 - 14*t**3 in the form q*t**2 + y*t + i*t**3 + l and give i.
-14
Express -6*k - 3*k - k - 6*k as p + c*k and give c.
-16
Rearrange -o**2 - 10 - 5*o**3 + 7*o**3 - 6*o**4 + 4*o**4 to y*o + u*o**3 + n*o**2 + v*o**4 + f and give n.
-1
Rearrange (2 - 4 + 0)*(-7 + 3 + 3)*(84*i + 111*i + 3*i) to the form w + o*i and give o.
396
Express 21 - 14 + 8 + 6*u as c + l*u and give c.
15
Rearrange -t**2 + 5*t**2 + 8*t**2 to w + b*t + s*t**2 and give s.
12
Rearrange -7*w**4 + w - 29*w**3 - 9*w**4 + 32*w**3 to r*w**4 + i*w + d + j*w**2 + t*w**3 and give t.
3
Express -9*s**4 - 4 + 13*s**2 + 6 + s - 7*s**4 + 15*s**4 as u*s**4 + x*s**3 + r + f*s + p*s**2 and give r.
2
Express (-9 - 3 - 2)*(-4*m + 0*m + 2*m) in the form n + i*m and give i.
28
Rearrange 0 + 71*m**2 - 33*m**2 + 32*m**2 + 1 to the form j + a*m**2 + f*m and give j.
1
Express 118 + 2*b**3 + 6*b - 234 + 114 as x*b**2 + u + f*b + k*b**3 and give k.
2
Rearrange -13 + 19 - 3*v - 6*v**4 + 3*v**4 + 5*v - v**2 to x*v**2 + k*v**4 + h*v + o*v**3 + m and give x.
-1
Rearrange (s - 2*s - s)*(0 + 0 - 3) to d*s + w and give d.
6
Rearrange 2*g**4 + 2 - 2*g + 0 + g - 3*g**4 to the form t*g**4 + n*g**2 + u + m*g**3 + d*g and give u.
2
Express (-3*v + 6 - 6)*(-4 - 4 + 6) as y + m*v and give m.
6
Express 2*v + 5*v - 5*v + 45 - 20 as d + g*v and give d.
25
Rearrange (4 - 4 + 2)*(82*y**3 + 68*y**3 - 120*y**3) to m + i*y**2 + j*y + k*y**3 and give k.
60
Rearrange -19*n + 17 + 21 - 38 to k*n + i and give k.
-19
Rearrange ((3*p + p - 2*p)*(-6 + 1 - 10) - 2*p + p + 0*p)*(-p**3 - 3*p**3 + 3*p**3) to v + t*p**2 + g*p**4 + x*p**3 + c*p and give g.
31
Rearrange (2*h**2 - 6*h**2 + 3*h**2)*(-4 - 5 + 9 - 38*h) to g*h**3 + b + p*h**2 + u*h and give g.
38
Express 3*h - 2*h + 7*h + (4 - 4 + 1)*(-2*h + h + 2*h) as o*h + x and give o.
9
Rearrange (2 + 0 - 3)*(-2 + 1 - 3)*(-4*o + 4*o - 6*o + (0 + 2 + 0)*(4 - 4 - 2*o)) to the form t + m*o and give t.
0
Express -5*l**2 - l**2 - 3*l**2 + (0 + 0 + 1)*(-l**2 - 2*l**2 + 2*l**2) - 8*l**2 - 2*l**2 + 0*l**2 as m*l + x*l**2 + w and give x.
-20
Express -1 - 14*g**3 + 2*g**3 + g**3 - g**4 + 9*g**3 - 4*g as o*g**3 + a*g**2 + j*g**4 + d*g + u and give o.
-2
Rearrange (3 + 0 - 1)*(0 + h + 0) - 7*h - h + 3*h + (2 + 2 - 2)*(-3*h + 0*h + 2*h) - 2*h - 2*h + 5*h to g*h + f and give g.
-4
Express 9*w**2 - 12*w**3 + w**2 + 2*w + 2 - 3*w**4 - 4*w**2 - 5*w**2 in the form c*w**4 + f + p*w**2 + a*w + x*w**3 and give x.
-12
Rearrange -47 + 94 - 47 - 144*x to l*x + z and give l.
-144
Rearrange 23 + 16*r - 54 + 28 to m + v*r and give m.
-3
Rearrange -60*d**3 - 22*d**2 + 4*d**2 + 6*d**2 + 11*d**2 to the form o + c*d + p*d**2 + h*d**3 and give h.
-60
Rearrange -d**3 + 2*d**3 + 1 + 2*d**4 - d**2 - d**3 - 2*d to i*d**2 + y*d + j*d**4 + n*d**3 + w and give n.
0
Rearrange 142*m - 142*m - 20*m**2 to the form y*m**2 + i*m + j and give y.
-20
Express -6 - 5 - 7 + 24 - 10*i in the form r*i + s and give s.
6
Express (3*q**3 - q**3 - q**3)*(0 + 1 + 1)*(-127 - 6*q + 127) as k*q**2 + i*q + g*q**3 + z*q**4 + l and give z.
-12
Rearrange -46 + 24 + z**2 + 23 + z**3 - 5*z to the form b*z + q*z**2 + v*z**3 + h and give b.
-5
Express -16*r - 21*r - 2 + 34*r + 29*r**2 as x*r**2 + y*r + l and give x.
29
Rearrange -g + g + 22*g**2 + 0*g**2 to s + o*g**2 + n*g and give o.
22
Rearrange -8*i + 8*i + 5*i + 17*i to m*i + d and give d.
0
Rearrange (2*k - 3*k + 0*k)*(k**2 + 23 - 24 - 3*k**2) + (3*k**2 - k + k)*(3*k + k - 6*k) to u + h*k**2 + c*k**3 + g*k and give g.
1
Rearrange 14*l**2 + 37*l**2 - 23*l**2 to the form c*l**2 + v + b*l and give c.
28
Express -2*p**3 - 2*p**2 + 3*p**2 + 7*p - 6*p in the form d*p**3 + t*p**2 + x + r*p and give t.
1
Rearrange -2*q**2 + 17*q - 7 + 3*q**4 - 16*q + 4 to the form g*q + b*q**3 + z + j*q**2 + f*q**4 and give g.
1
Express 3*p**2 + 5*p**2 - 4*p**2 + 2*p + 5*p**2 in the form j*p + r + o*p**2 and give j.
2
Express -13 - 6*o + 15 + 5*o in the form r + k*o and give k.
-1
Rearrange -12*v**3 + 3*v**3 + 8*v**3 - v**2 + v - v**4 to the form j + z*v**4 + k*v**3 + f*v + q*v**2 and give q.
-1
Express 71*t**3 + 3*t**2 - 73*t**3 - t**2 - 1 as r*t**2 + w*t**3 + x + v*t and give x.
-1
Rearrange (-m + 2*m + m + (2 - 1 + 1)*(-4*m + 2*m + 3*m) + 4*m + m - 3*m)*(-6*m - 2*m + 6*m) to t*m + i*m**2 + h and give i.
-12
Express (2*h**2 + 29*h - 6*h**3 + 0*h**3 - 30*h)*(-3 + 3 + h) in the form x*h + d + g*h**4 + u*h**3 + i*h**2 and give u.
2
Rearrange -2*c**4 - c**3 + 4*c**2 + 158*c - 158*c to the form a + t*c + b*c**4 + n*c**2 + p*c**3 and give n.
4
Express (-3 + 1 + 0)*(-3*a - 3 + 3) - a + a + 5*a as q*a + v and give q.
11
Rearrange -13*q**3 + 5*q**2 - 3*q - 4*q**2 + q to the form o*q**3 + j*q + n*q**2 + f and give o.
-13
Rearrange -1 - v - 2*v + 2 + 3*v**2 - 2 to g*v + c + a*v**2 and give g.
-3
Rearrange 5 - 2 + 6*k**2 + 2 - 4 to the form t + c*k**2 + q*k and give c.
6
Rearrange 0*w**2 - 2*w**2 - 3*w**2 to m*w**2 + q + h*w and give m.
-5
Express 36*y + y**2 + 6*y**3 + y**4 + 0*y**2 - 34*y as j*y**3 + g*y + r*y**2 + n*y**4 + a and give g.
2
Express (-7 + 2 - 198*j + 199*j)*(2*j**2 + j**2 - 5*j**2) as g + k*j**3 + d*j**2 + u*j and give d.
10
Express a - 7*a + 3*a**2 + a**4 + 2 + 0*a**4 + a in the form u*a + t*a**2 + v + s*a**3 + f*a**4 and give s.
0
Express ((-1 + 0 - 1)*(g - 2*g + 3*g) + 2*g + 0*g + 0*g - g - 2*g + g - 3*g - 4*g + 4*g)*(-3 + 3 - 2)*(2 - 2 + g) in the form z*g + r*g**2 + a an | {
"pile_set_name": "DM Mathematics"
} |
e -5*o = 5*i - 8 - 2, 5*o + 2*i - 22 = 0 for o.
6
Solve -3*n = 5*a - 29, -a + 5*n - 5 = 6 for a.
4
Solve -24 = 5*q + 4*v + 6, 2*q - 2*v = 6 for q.
-2
Solve -5*w = -3*b - 29, w + 3*b - 2*b - 1 = 0 for w.
4
Solve -4*o = 12, 0 = -i + 8*o - 12*o - 8 for i.
4
Solve 5*n + 27 = 2*z, 6*n = 8*n + 5*z + 5 for n.
-5
Solve -2*j + l = -16 + 25, -4*l = -12 for j.
-3
Solve 3 + 3 = 3*f + 3*u, 0 = 4*f - u - 3 for f.
1
Solve 9 = 3*s + 3*w, 5*s - 8*s - 31 = -5*w for s.
-2
Solve 4*c - 14*v - 4 = -10*v, -12 = -3*v for c.
5
Solve -84*g + 20 = -4*y - 80*g, 0 = -2*g for y.
-5
Solve 0 = a - 2*g + 5, -3*a + g - 20 = -5 for a.
-5
Solve 2*h + 4*i = 7 + 13, -16 = 2*h - 5*i for h.
2
Solve 2*m + 8 = m - 3*z, 2*m = 4*z + 24 for m.
4
Solve 0 = -5*h - i + 20, 272 = -2*h + 4*i + 258 for h.
3
Solve -3*b + 23 = 5*c, -23*b = -4*c - 18*b - 26 for c.
1
Solve 0 = -d - 2*z + 9 - 7, 3*z = -5*d + 3 for d.
0
Solve -4*y + 8 = a, 7*y + 4 = 11*y for a.
4
Solve -5*c + m - 24 = 0, -9*m - 16 = 3*c - 8*m for c.
-5
Solve -4*j + 4 = -2*o, -16*o + j = -17*o + 1 for o.
0
Solve 13 - 25 = -4*g, 4*n - 2*g = -18 for n.
-3
Solve 2*a = 2*w + 18, -60*w + 55*w + a - 25 = 0 for w.
-4
Solve -2 = 2*a + 2*t, 4*t + 19 = a + 5 for a.
2
Solve -2*p - 2 + 8 = 4*r, 4*p = 2*r - 18 for p.
-3
Solve h = 35*t - 36*t + 5, -4*h + t + 5 = 0 for h.
2
Solve -4*g + 2 = 3*d - 1, 5*d = 3*g + 34 for d.
5
Solve 4*d - 16 = 0, -2*d + 9 = -x + d for x.
3
Solve 3*i + 3 = -9*o + 7*o, -10*i + 7 = o for o.
-3
Solve 0 = 2*j + 4*a + 10, 4*a = 2*j + 2*a - 2 for j.
-1
Solve 3*b = 5*z + 4, -4*z - 2 = -6*b + 3*b for z.
-2
Solve c + 4*c - 10 = 4*b, 4 = 2*b + 2*c for b.
0
Solve 3*a + 1 = 2*d + 3, 5 = -5*d for a.
0
Solve k + 4 = 0, 504*i - 5 = 501*i + 5*k for i.
-5
Solve 3*z - 3*g + 3 = z, -5*g = 4*z - 27 for z.
3
Solve 4*a + 65*p = 69*p + 20, -2*a - 3*p = 15 for a.
0
Solve 2*w + 1 = 7, -4*l + 2*w = -14 for l.
5
Solve -10 = a + 5*z + 15, -2*z - 18 = 2*a for a.
-5
Solve -4*n - 4*y = -32, -4*n + 3*y - 7 = -4 for n.
3
Solve -3*g + 3 = r, -2*g - 5*r + 62 = 73 for g.
2
Solve -3*b - 15 = 0, 20*b - 16*b = -2*z - 28 for z.
-4
Solve -3*y - 5*i + 10 = 0, 31*y - 26*y + 4 = 2*i for y.
0
Solve -4*n = 5*h - 28, -n - 3*n - 12 = -5*h for h.
4
Solve -3*x = -3*o + 15, -432*o + 4*x = -433*o + 5 for o.
5
Solve -2*y + z + 2 = 0, -5*y = -3*y - 5*z - 2 for y.
1
Solve -3*c = -2*p - 16, 6*c + p = 5*c + 2 for c.
4
Solve -5*s - u - 11 = 0, -4*s - 210 = 5*u - 218 for s.
-3
Solve 0 = -5*u - 20*g + 25*g + 20, 0 = -2*g - 8 for u.
0
Solve 10 = 5*a - 2*j, -6*a + 7*a - 2*j = 2 for a.
2
Solve -u + 11*r - 16*r = 20, 3*u - 3*r = 12 for u.
0
Solve -5*y - w + 6 = -4*w, -2*y + 5*w = -29 for y.
-3
Solve -41*j + 3*k = -40*j - 5, 0 = k + 2 for j.
-1
Solve -15 = -5*k, 46*l + 2*k = 47*l + 2 for l.
4
Solve -3*p - w + 3 = 0, 73*p + 4*w = 72*p + 12 for p.
0
Solve -5*z + 5*w = -15, 2*z - 1 = w + 1 for z.
-1
Solve -6 = r + 3*k, 3*r + 1 = -5*k - 9 for r.
0
Solve 5*l = -5*c + 10, -4*c = 2*l - 1 + 3 for c.
-3
Solve 3*k = -4*t + 1 - 30, 0 = -5*k + 3*t for k.
-3
Solve 3*v + 5 = -2*t, 5*t - 4*t - 2*v = 15 for t.
5
Solve a + m + 26 = 5*m, 0 = a - 5*m + 31 for a.
-6
Solve -16 = 2*a + 2*z, -4 = -2*a + 5*a - z for a.
-3
Solve -2*v = d, -3*v + 2*d - 3*d = 2 for v.
-2
Solve 16 = -2*o + 5*f - 9*f, -4*f - 4 = -o for o.
-4
Solve 6*b - 3*b + 19 = 5*c, 4*b = 4*c - 20 for c.
2
Solve k = -3, 0 = u + 3*k + 7 + 5 for u.
-3
Solve 0 = -4*d + 5*i - 13, 2*d - 5 = -3*i - 6 for d.
-2
Solve -5*b + 36 = 4*u, -5*b - 2*u = -34 + 6 for b.
4
Solve -4*w + 4*b + 8 = 0, -13*w + 10*w + 2*b + 9 = 0 for w.
5
Solve -11 = -3*s + 4*d + 1, 4*d = 4*s - 16 for s.
4
Solve -3*p - 30*s + 25*s = 14, 3 = -2*p + 3*s for p.
-3
Solve -4*q + 28 = -8*v + 4*v, 0 = -3*v - 2*q - 11 for v.
-5
Solve 4*b - 7 = 13, 23 = -g + 4*b for g.
-3
Solve -23*v - 3*m = -18*v + 12, 3*v + 16 = -4*m for v.
0
Solve 5*a + 10 = -u, -48*u = -44*u - 3*a - 6 for u.
0
Solve -2*f - 7 = p, 0 = -4*f + 540*p - 536*p + 4 for f.
-2
Solve 0 = -5*h - k + 21, -3*h + 3*k + k = -8 for h.
4
Solve 4*m + 0*j - 4 = -3*j, 18 = m + 5*j for m.
-2
Solve -12*d = -11*d + 4*v - 2, -2 = 2*v for d.
6
Solve 3*l - 56*w = -55*w + 3, -17 = -l - 5*w for l.
2
Solve -6*s + 2*s = 4*p - 16, -2*p + 6 = 0 for s.
1
Solve 0 = 4*w - 20, -3*q - 20 = 2*q - 4*w for q.
0
Solve -4*m - 28 = 4*f, 3*f = 9*m - 6*m + 3 for f.
-3
Solve 2*t - 9 = 3*t + 2*w, -17 = 5*t + 3*w for t.
-1
Solve 0 = -4*r - 5*v + 10*v - 29, -v + 2 = 3*r for r.
-1
Solve 0 = -3*x - 0*x + 4*m + 5, 3*x + 25 = -2*m for x.
-5
Solve 4*n = 2*w + 9 - 21, 0 = 4*w - 3*n - 19 for w.
4
Solve -l + 4*l = -4*g - 25, 3*l - 4*g = 7 for l.
-3
Solve 0 = -18*w + 20*w + 5*q - 35, -w - 5*q + 30 = 0 for w.
5
Solve 3*s - 6 = s + 4*w, -2*s + 3*w = -3 for s.
-3
Solve -3*a = -2*o - 23, -27 = -2*a + o - 13 for a.
5
Solve 4*c - m = -4, 2*c - 14*m = -12*m + 4 for c.
-2
Solve -m - 4*i - 11 = 0, 5*m - i = -4*i - 21 for m.
-3
Solve 3*j - 5*a = -28, -j + 5*a - 2*a - 16 = 0 for j.
-1
Solve -3*l - 5*b - 1 - 1 = 0, 0 = -4*l + 2*b - 20 for l.
-4
Solve -u - 8 - 6 = -5*p, -5*u - 2*p + 11 = 0 for u.
1
Solve -5*k - 8*t + 32 = -12*t, 0 = -4*k - 2*t + 10 for k.
4
Solve -12*h - 4 = -11*h + 4*a, -4*a = 0 for h.
-4
Solve 0 = -a - 2*g - 16, 3*g - 5 + 28 = -a for a.
-2
Solve -3*p + 22 = -4*k, 106*k = -5*p + 111*k + 30 for p.
2
Solve 3*u = 5*s + 12, -u + 5 = 15*s - 17*s for u.
-1
Solve -5 + 16 = -3*g + 2*i, 0 = g - 5*i + 8 for g.
-3
Solve 0 = 7*k - 2*k - 5*p - 25, -k - p = 1 for k.
2
Solve 11*q - 55 = 2*z + 6*q, -17 = -2*z - 3*q for z.
-5
Solve 0 = -h + 3*i + 7 - 0, -h - 5*i - 25 = 0 for h.
-5
Solve 167*g - 162*g = -m - 30, -35 = 5*m + 2*g for m.
-5
Solve 5 = -m + 27*h - 29*h, 4*m + 4*h + 20 = 0 for m.
-5
Solve -2*s - 3*h + 10 = 0, 7 = -5*s + 2*s + h for s.
-1
Solve 4*d = i + 26 - 5, -5*d + 3*i + 35 = 0 for d.
4
Solve 2*b - 165*j - 14 = -160*j, -b + j = -1 for b.
-3
Solve 5*p - 7 = -2*r, 2*p - 5*r = 27 - 1 for p.
3
Solve -2*u - 10 = -z, -u - 6*z = -2*z + 5 for u.
-5
Solve 0 = 4*g + k + 192 - 189, -2*k = -2*g + 6 for g.
0
Solve 5*t = -5*q, -2*t - 20*q = -19*q + 2 for t.
-2
Solve -4*g + 12 = 0, 20*g - 8 = 5*j + 19*g for j.
-1
Solve 3*z + 4*q + 594 - 599 = 0, 0 = z - 4*q - 7 for z.
3
Solve -3*z + 12 = 2*c, 5*c = 5*z + 118 - 63 for z.
-2
Solve -3*y + 3 = 3*f, -f = -2*f + 5*y + 25 for f.
5
Solve 3*a = 3*b, 4*a - b - 2*b + 2 = 0 for a.
-2
Solve 5*r + 5 = 3*f, 2*f - 26*r = -23*r + 3 for f.
0
Solve 16*h = 12*h + 5*d - 27, 4*h + 2*d = -6 for h.
-3
Solve -5*s - 17 = -4*c, -14 = 5*s - c - 2*c for s.
-1
Solve -2*d + 13 = -6*d - k, 0 = 5*k - 15 for d.
-4
Solve 24*q = -u + 20*q - 1, 0 = -2*u + q - 2 for u.
-1
Solve 5*b - v = b + 18, -15 = -5*b + 5*v for b.
5
Solve -3*s - 18 = -3*m, -21 = 2*m - 3*m + 4*s for m.
1
Solve -5*b + y - 24 = 0, -52*b + 56*b + 28 = 3*y for b.
-4
Solve 2*k - 434*v = -430*v - 8, -2*k - 4*v = 0 for k.
-2
Solve 3*o - 14 = -d, -3*o = -d - 2*o - 2 for d.
2
Solve -3*v = -5*y + 5 - 0, 3*y = 4*v - 8 for v.
5
Solve -5*a - 15 = -2*d, -17*a + 5*d - 12 = -13*a for a.
-3
Solve 3 = -3*s, 3*s = 82*o - 79*o - 18 for o.
5
Solve -5*k + 10 = 0, 3*k + 16 = 4*h + 6 for h.
4
Solve -4*u = l - 13, 2*l + 2*u - 63 = -55 for l.
1
Solve 16 = 5*c - 2*d, 0 = 100*c - 98*c - 3*d - 2 for c.
4
Solve 12 - 1 = -4*w + l, -4*w + 3*l = 1 for w.
-4
Solve -4*h = -4*d - 0*h + 24, -5*d + 2*h + 24 = 0 for d.
4
Solve w = 5*i - 12 - 11, 5*w = -4*i + 30 for i.
5
Solve 16*h + 2*c = 19*h - 14, 3*h - 4*c = 16 for h.
4
Solve 5*m = 4*v + 1, 18*v - 23*v + 7 = 2*m for m.
1
Solve g + 14 = 4*m - 4, -5*g - 48 = m for g.
-10
Solve 3*l - d - 5 = 2, 0 = -l + 2*d + 4 for l.
2
Solve 4*l - 3*c = 1, 4*l + c - 16 = 5 for l.
4
Solve 4*k + 5*h = 30, k - 13 = 4*h - 16 for k.
5
Solve 4*k = 5*v + 5, -3*v - 4*k = 2*v + 5 for v.
-1
Solve -2*b + 3*v = 22, -3*v - 8 = -5*b - 45 for b.
-5
Solve -4*f - 2*t = -3*f - 8, 4*f + 2*t = 20 for f.
4
Solve 3*r = 4*j + 6, -4*r - 14 = -j + 3*j for r.
-2
Solve t - 5*g = 7, 4 = 3*t - 3*g - 5 for t.
2
Solve 0*h + 3 = h - o, 4*h + 2*o - 12 = 0 for h.
3
Solve -3*a + m + 0*m - 8 = 0, 3*m - 15 = 0 for a.
-1
Solve z + 3 = -2*u - 2*z, -3*z + 6 = 5*u for u.
3
Solve -11*j - o = -8*j + 16, 2*j = -4*o - 24 for j.
-4
Solve -3*d = -5*g - 12 + 29, -d - g - 3 = 0 for d.
-4
Solve -13 = h - 4*c, -2*c = -10*h + 12*h - 4 for h.
-1
Solve 30 = -3*w - 5*q, -24*w + 2*q + 21 = -27*w for w.
-5
Solve -2*v + 3*v + 9 = b, -b - 4*v = 11 for b.
5
Solve | {
"pile_set_name": "DM Mathematics"
} |
c) = -2*c**3 + 19*c**2 + 8*c + 23. Let p be m(10). Let w(v) = v + 9 - 11*v**p - 25 + v**2 + 17. What is w(a)?
12
Let i(d) = -46*d - 370. Let x = -6319 + 6311. Determine i(x).
-2
Let y = -8 - -17. Let f(h) = -4*h**2 - 2*h - 5. Let k(z) = 21*z**2 + z + 32. Let w(s) = -5*f(s) - k(s). Give w(y).
-7
Let w(i) be the second derivative of i**3/6 - 13*i**2/2 + 242*i. Determine w(-10).
-23
Suppose -22*t = -5*t - 3213. Let m(d) = -92 + t - 91 + 2*d. What is m(9)?
24
Let h(a) = -17*a - 83. Let c(o) = -o**2 - o + 23. Let z(n) = -3*c(n) - h(n). Determine z(-6).
2
Let t = 726 + -724. Let n(p) be the second derivative of -23*p - 5/2*p**t + 1/12*p**4 - 4/3*p**3 + 0. Give n(5).
-20
Let h(m) = -63*m - 12. Let d(a) = -110*a - 22. Let i(v) = 4*d(v) - 7*h(v). Calculate i(1).
-3
Let r(h) = 0 + 2*h**3 - h**2 + 4 - 3*h**3. Suppose 0 = -6*y - 8 + 32. Suppose k + 4*d = 6*d + y, 3*k - 2 = d. Calculate r(k).
4
Suppose 0 = -16*z + 10*z + 18. Suppose 2*h + z*c + 21 = 5*h, 2*h - 5*c = 26. Let a(k) = 2*k - 4. Calculate a(h).
2
Let v(s) = s**3 + 9*s**2 - 3*s + 12. Let a(b) = 105*b + 936. Let d be a(-9). What is v(d)?
39
Let v(q) = -q**2 - 10*q - 9. Let g(h) = h**3 + 42*h**2 + 212*h - 27. Let i be g(-6). Calculate v(i).
12
Let h(i) = -10*i**2 + 103*i - 50. Let q(l) = 6*l**2 - 68*l + 35. Let p(o) = 5*h(o) + 8*q(o). Give p(-15).
15
Let b(n) = -n**2 - n - 1. Let l(m) = 6*m**2 + 2*m + 2. Let f(z) = 3*b(z) + l(z). Let u = 24 + -22. Suppose 0 = u*j + 2*t + 2*t - 4, 6 = -4*j - t. Give f(j).
13
Suppose -2*s + 2*j = -20, j - 3 = -3*s + 3. Let w(a) = a**2 - 2*a - 14. What is w(s)?
-6
Let v(c) = 25*c - 4. Let q(t) = 13*t - 2. Suppose -6*a + 2 = -34. Let p(g) = a*v(g) - 11*q(g). Determine p(3).
19
Let x = 700 + -698. Let t(i) = 0*i - 5*i**2 - 2*i - 3 + 9 - x + 4*i**2. Give t(-5).
-11
Let g(z) = 365*z**2 - 2297 - 12*z + 2291 - 368*z**2. Determine g(-6).
-42
Let s(r) = -r + 9. Let t(m) = m**3 + 3*m**2 - 7*m + 3. Let q be t(2). Suppose -5*j + 25 = -2*h, -5*h + q*h = 0. Determine s(j).
4
Let k be (-336)/(-180) + (-4)/(-30). Let r(y) = -3*y - 19 + 8 - 2*y**k + 11. Calculate r(-3).
-9
Let o(b) = 9*b - 161. Let v be o(18). Let w(x) = 0*x - 5*x + 2*x - v - 5*x. Determine w(1).
-9
Let s(b) = -13*b - 2. Let z(y) = -53*y + 11. Let h(n) = 7*s(n) - z(n). What is h(-1)?
13
Let r(z) = -105*z**2 - 118*z**2 + 222*z**2 + 7*z + 6*z + 19. Suppose -46 = -2*s - 20. Determine r(s).
19
Let q(m) = -8*m - 143. Let x = -6633 + 6614. What is q(x)?
9
Let h(a) be the first derivative of -a**3/3 + 3*a**2 + 2*a + 6444. What is h(2)?
10
Let z(g) = -g**2 - g + 12. Suppose -22 = -3*v + 6*y - 2*y, -4*y - 16 = 0. Let j(o) = 6 + o**3 - v*o**2 - 4 - 1. Let w be j(1). What is z(w)?
12
Let j(k) = 5 - k + 2 + 2*k. Let b(r) = -2*r - 40. Let n be b(-5). Let g be -4*n/(-12)*16/20. Determine j(g).
-1
Let t(b) be the third derivative of 29*b**4/24 + 97*b**3/3 - 281*b**2 + 7. Determine t(-7).
-9
Suppose 2*t + 8 = 4*l, 0*t - 18 = -4*l - 3*t. Let k(j) be the first derivative of j**3 + 4*j + 0*j**2 - 1/4*j**4 - 16. What is k(l)?
4
Let w(l) be the second derivative of l**6/180 - 3*l**5/40 + 16*l**4 + l - 114. Let r(s) be the third derivative of w(s). Determine r(7).
19
Let b(j) = j**3 + 2*j**2 - 2*j + 2. Suppose -4*t + 91 = 11. Let x(k) = 19*k - 378. Let s be x(t). Calculate b(s).
14
Let k(f) = -12*f**2 + 28*f + 15. Let d(m) = -7*m**2 + 16*m + 8. Let u(s) = 7*d(s) - 4*k(s). Calculate u(-3).
-13
Let q = 42 - 35. Let y be -4 + 2 + (-3)/((-3)/q). Suppose 0 = 5*r + 3*t - 12, 2*r = -2*t + y - 1. Let m(z) = -z**2 + 5*z - 3. Determine m(r).
3
Let l(r) be the first derivative of r**3 - 10*r**2 + 18*r - 3895. Give l(7).
25
Let m(x) be the second derivative of -x**3/3 + 11*x**2/2 + 2*x. Let s be (-4616)/(-48) - 4/24. Let k = 104 - s. What is m(k)?
-5
Suppose x + 4 = 0, 205*x + 8 = -2*r + 203*x. Let p(t) = -t**3 + t**2 - t + 13. Determine p(r).
13
Let r = -101 - -88. Let h(d) = d**2 + 15*d + 28. Let v be h(r). Let p(l) = -l**v + 0 - 4*l - 5*l + 10 + 2*l. Calculate p(-9).
-8
Let p(r) = 9*r**2 - 4*r + 1. Let l be (4 + 2)*(-182)/(-3). Let h = l - 363. What is p(h)?
6
Let w(m) = 2*m**2 + 10*m - 18. Suppose -6*u + v - 29 = -2*u, -u = -3*v + 21. Let y be w(u). Let c(b) = 1 - 2*b**2 - 7*b + 11 - 4. Determine c(y).
-22
Suppose -3*r - 8 - 4 = 0. Suppose 2*x - 22 = -4*p, 5*x + 2*p = x + 74. Let b(d) = -56 + x + 14 + 5*d + 16. Calculate b(r).
-25
Let m(l) = 36 - l**2 - 37 + 2*l + 2*l + l. Let i be m(3). Let u(g) be the third derivative of 5*g**4/24 - g**3/2 - 70*g**2. Calculate u(i).
22
Let n(w) = -3 - 12*w + 5*w + 5*w. Let q be (-585)/(-65) - (-52)/(-4). What is n(q)?
5
Suppose -91*b + 69 = -3*o - 96*b, -5*b - 30 = 0. Let w(p) = 0*p + 5 + p + 6. What is w(o)?
-2
Let q be (-6)/(-27) + 200/72 + 6. Let x(d) = 4*d - 40. Determine x(q).
-4
Suppose 0 = -2*g - 7 + 15. Suppose 1 = 3*s + g. Let c(t) be the third derivative of t**4/4 - t**3/6 + 234*t**2. Calculate c(s).
-7
Suppose 0 = -2*q - 3*q + 25. Let d be 9/q - (-2)/10. Let m(z) = -13*z + 6*z + 8*z + d + 7. Calculate m(-8).
1
Let p(o) be the second derivative of 19*o**5/120 - o**4/24 - 7*o**3/3 - 3*o**2/2 + 3*o + 2. Let b(i) be the second derivative of p(i). What is b(1)?
18
Let t be (2 + 1)/(18/12). Let o(w) = 6 - 2 + 282*w - t*w**2 + w**3 - 287*w. What is o(3)?
-2
Let y(h) be the third derivative of -2*h**5/15 + 17*h**4/24 + 7*h**3/6 + 27*h**2 + 2*h. Let f(q) = -4*q**2 + 7*q + 3. Let w(b) = 7*f(b) - 3*y(b). What is w(2)?
-20
Let f(t) = -2*t**3 - 6*t**2 - t + 2. Let k be (-90)/21 + 8/28. Calculate f(k).
38
Let m(f) = -f**2 + 19*f - 13. Let v be m(13). Let s(a) = 3*a**3 + 61 - v + 4*a**2 - 6*a + a - 2*a**3. Let z be 8*(-2)/4 - 1. Give s(z).
-4
Let b(i) = -i**3 - 6*i**2 + 9*i + 10. Let x(r) be the first derivative of -r**3/3 - r**2/2 - 10*r + 4. Let k be x(0). Let n = 3 + k. Give b(n).
-4
Let w(u) = 5*u**3 + 102*u**2 + u + 6. Let r(s) = 14*s**3 + 290*s**2 + 3*s + 19. Let q(m) = 6*r(m) - 17*w(m). Determine q(7).
-30
Suppose -16*k - 39 = -13*k + 3*w, w = -5*k - 61. Let g(c) = -c**3 - 12*c**2 + 2*c + 3. Give g(k).
-21
Suppose 25*y + 4335 = -1140. Let i = y + 208. Let g(m) = -m**3 - 11*m**2 + 7. Determine g(i).
7
Let f(t) = 5*t + 2*t - 46 + 55 - 2*t - 22. Determine f(2).
-3
Let x(h) = 402 + 8*h + 16*h - 478 + 16*h - 2*h**2. Give x(18).
-4
Let i(u) = u + 3. Suppose -4*d = -9*d + 120. Let r be 217/21 + 6/9. Suppose -r*q + 7*q + d = 0. What is i(q)?
9
Let q(m) be the second derivative of -7*m + 0*m**2 + 0 - 2/3*m**3. Let p(y) = -y - 1. Let u(j) = -3*p(j) + q(j). Determine u(-3).
6
Let y(a) = a**3 + 2*a**2 - a + 15. Let t = 7433 + -7438. What is y(t)?
-55
Let c(x) = 7 + 125*x + x**3 - 56*x - 65*x. Let n be c(0). Let j(g) = g**2 - 8*g + 7. What is j(n)?
0
Suppose 10 = -5*b - j + 33, -20 = -2*b - 4*j. Let c be -4 + b - 35/5. Let q(p) = -p**3 - 6*p**2 + 8*p - 1. Determine q(c).
-8
Let b(a) = a - 6. Let d be b(6). Let o(t) = -3*t + t + d*t. Suppose -1163*v + 580*v + 576*v = -35. Calculate o(v).
-10
Let j be 9/(-18) - (-88)/16. Suppose 0 = 3*f - 14 - 1, -f = -2*c - 5. Suppose j*z + 2*z = c. Let b(u) = -u - 9. Calculate b(z).
-9
Let g be (-6)/(-66) + (-224)/(-77). Let x(y) = -3*y + 39. Let i(o) = -2*o + 21. Let h(r) = g*x(r) - 5*i(r). What is h(-8)?
4
Let r(k) = -8*k - 34. Let o be 2 + -1 + 2*-3. Let n be r(o). Let c(x) = x**2 - 6 - 4*x + 15 + 0*x**2 - 2*x. Calculate c(n).
9
Let c(m) be the third derivative of -m**6/120 + m**5/15 - m**4/12 + 2*m**2 - 702. Give c(1).
1
Suppose -2*s = -4*j - 140, -4*j - 148 = -0*s + 2*s. Let u = j + 50. Let t = u + -13. Let a(q) = 2*q**2 + q - 1. What is a(t)?
2
Let g(v) = -65*v**3 + v**2 - v. Suppose 5*a = -24744 + 24739. What is g(a)?
67
Let c = -101 + 104. Let q(n) = 9*n**2 + 0*n + 50 + 66 - 109 - 9*n - n**c. Calculate q(8).
-1
Let m(h) = 5*h**2 + 4*h + 7. Let l(b) = 27*b**2 + 22*b + 38. Let g(q) = -2*l(q) + 11*m(q). What is g(1)?
2
Let s = -3 + 11. Suppose 6*q + s = -16. Let t(l) = l**2 + 5*l - 5. Give t(q).
-9
Let s(g) = 85*g**3 + 15*g**2 - 44*g - 41*g**3 + 13 - 45*g**3. Determine s(10).
73
Let n(a) = -3*a**2 - 10*a + 6. Let w(v) = 4*v**2 + 11*v - 7. Let c(y) = -5*n(y) - 4*w(y). Let r = 960 - 845. Suppose -10*x = -33*x + r. What is c(x)?
3
Let c = 252 + -247. Suppose -5*p - c + 10 = 0. Let y(w) = -3*w. Calculate y(p).
-3
Let u(g) be the third derivative of -1/60*g**5 + 1/24*g**4 + 4/3*g**3 | {
"pile_set_name": "DM Mathematics"
} |
2). Solve -t*o + 0*o = s for o.
0
Suppose 0 = y - 14 - 1. Solve y = 4*x - 1 for x.
4
Let t(q) be the second derivative of q**3/6 - 2*q**2 + 2*q. Let n be t(2). Let r be (-4*(n - -1))/2. Solve -o - 5 = -r for o.
-3
Let z be 87/27 + 8/(-36). Let x(y) = -y**3 - y**2 - 2*y. Let o be x(-3). Suppose -o = -5*w - p + 5*p, -4*w + 12 = -5*p. Solve -w = r + z*r for r.
-2
Let y(d) = -d - 1. Let q be y(-5). Let p = -5 + 14. Solve u + p - q = 0 for u.
-5
Let g be (-8)/(-1) - 7/(28/(-12)). Solve -31 = 4*o - g for o.
-5
Suppose -4*v - v = 0. Suppose z = -v*z + 34. Suppose -z - 6 = -5*k. Solve -c = c + k for c.
-4
Let p be (-3 - 0)/(-6)*-22. Let l = p - -18. Solve -2*k - 3 = -l for k.
2
Let r = 11 + -19. Let f = -8 - r. Solve f*n - 4 = -n for n.
4
Suppose 2*n - 16 = -5*m, 0 = m + 3*m - 3*n + 1. Suppose 0 = 2*d - m. Suppose -g + d = -2. Solve -4 - 8 = g*a for a.
-4
Let x(p) = -2*p**2 + 2*p + 2. Let v be x(2). Let s be (-1)/(v/14) + 1. Solve -1 - s = -3*g for g.
3
Let d = 7 - 7. Suppose 7 = -5*v + 37. Solve -3*x = -d - v for x.
2
Suppose -u + 6*u - 25 = 0. Suppose m - u = -1. Solve m*i - 3*i = 3 for i.
3
Suppose 4*o = 4, 5*o - 19 = -5*q + o. Solve -4*n + 4 = -q*n for n.
4
Let h be 2/6*-3*-5. Solve h = 5*y + 10 for y.
-1
Let y be 0 + -1 + (-7)/((-28)/8). Solve 2*a - 5 = -y for a.
2
Let f = 7 - 9. Let n be 0*(-1 - 0) - f. Solve -n*t + 4*t - 10 = 0 for t.
5
Let w(d) = d**2 - 4*d + 3. Let o be w(4). Suppose -r + 8 = o*r. Solve -r*u + 7*u = -15 for u.
-3
Suppose t - 6*t = 0. Let k(x) = x**3 + 2*x**2 - x + 2. Let f be k(-2). Suppose -f*m = -t*m - 12. Solve -4*h + 3*h = -m for h.
3
Suppose -2*c + 14 - 2 = 0. Let p be (2 - -2) + (1 - 1). Solve p = -2*z + c for z.
1
Let p(l) = -l - 1. Let f be p(-3). Suppose -2*u - 2 = -4*u + b, 0 = -5*u + b + 2. Suppose -2*i + 3 = g + i, u = 2*g + 3*i - 6. Solve -g*z - f*z + 15 = 0 for z.
3
Suppose -14 - 25 = -i. Suppose 5*w - i = -0*q - q, -2*w = q - 18. Solve w*m = 3*m + 4 for m.
1
Suppose 0 = 3*g - g. Suppose -3*i - 4 = -5*s - g*i, 4*i + 10 = 2*s. Let k = s + 1. Solve k = -4*j - j - 10 for j.
-2
Suppose -k = k - 2*c - 4, 2*c = k. Suppose -4*b + 3*d = -2*d - 15, -12 = 5*b + k*d. Suppose -q + 3 = -b*q. Solve h = q*h for h.
0
Suppose 5 = -5*x + 10. Solve v - x = -2 for v.
-1
Suppose -3*m - 1 = -0*a - a, -56 = -5*a - 2*m. Solve 5*t + 0 + a = 0 for t.
-2
Suppose -x - 4*x + 15 = 0, s + 5*x - 24 = 0. Let m be (24/s)/((-1)/(-18)). Suppose 6*w - m = 3*w. Solve 0 + w = 4*p for p.
4
Suppose 4*v = -v + 10. Let l be 0 + v - -1 - 1. Solve -l = s - 0*s for s.
-2
Suppose 0 = -m - 12. Let u be -1*(-1 + (5 - 1)). Let d be u*2/m*0. Solve d = 2*c - 1 - 1 for c.
1
Suppose 3*w = -2 + 14. Suppose w = j - 9. Let l(z) = -z**3 + 14*z**2 - 12*z - 11. Let x be l(j). Solve -2*m - x*m + 8 = 0 for m.
2
Let u = -34 - -34. Solve h = 1 - u for h.
1
Suppose -o - p + 0 + 4 = 0, 3*p - 7 = 2*o. Let d(c) = c + 0 - o + 11. Let v be d(-8). Solve 0*g = v*g for g.
0
Let f be (-5)/(1 - 3 - -3). Let y = -5 - f. Let j = 8 - 6. Solve -m - j*m = y for m.
0
Let x(u) = -u - 3. Let o be x(-5). Solve o*n = -2*n for n.
0
Let m = -4 + 6. Solve -m*s = -2 - 0 for s.
1
Let w(o) = -2*o**2 + 4*o + 3. Let c(i) = i**2 - i - 1. Let a(l) = 3*c(l) + w(l). Let b be a(-4). Solve -d = 2*d + b for d.
-4
Let s(i) = -i**2 - 9*i - 6. Let o be s(-6). Let l be 10/4*o/10. Solve -4 = u - l for u.
-1
Let i(j) = 3*j. Let y be i(1). Suppose -l + 56 = y*l. Solve -3*f - l = -2 for f.
-4
Let q be 11/((-2)/(8/(-2))). Suppose -3*n + q + 2 = -4*h, 4*n - 3*h - 25 = 0. Solve 10 = -n*r + 2*r for r.
-5
Let v(y) = -y - 4. Let a be v(-6). Solve -a*u = 3*u for u.
0
Let t = 0 + 3. Let q = 3 - t. Solve q = 4*n - 5 - 7 for n.
3
Let z(m) = -m**3 - m**2 - 5. Let t be z(0). Let k(x) = 0*x - x + 6*x**2 + x**3 + 5*x - 5 + 0*x. Let g be k(t). Solve -7*j + 2*j - 25 = g for j.
-5
Let r = 135 + -132. Solve 0 = -l - r*l - 8 for l.
-2
Let v = 3 - 1. Let l = -4 - 2. Let o = l - -11. Solve v*d - o*d + 15 = 0 for d.
5
Let m = -1 - -5. Let y = 12 + -8. Let l be y - (0 - (1 - 0)). Solve l*r + m = -1 for r.
-1
Let w be 12*(-1)/(-4 + 0). Solve -7 = -w*a - 1 for a.
2
Let p be (4 + -10)*(-1)/2. Suppose 3*y + 6*n - 3*n - 3 = 0, -3*n + p = 5*y. Solve t + 1 - 2 = y for t.
1
Let y(u) = 2*u**2 + 9*u - 6. Let t be y(-6). Let d be -2 + 4*(-1 - -2). Solve l + d*l - t = 0 for l.
4
Suppose 5*j + 0*j = 0. Suppose 0*n + 40 = 5*n + 4*k, -3*n + 4*k - 8 = j. Solve n*u + 20 = -0*u for u.
-5
Suppose z + 2 - 3 = -2*y, -3*z = -4*y - 13. Solve z*d + 2 = -1 for d.
-1
Let u = -52 + 77. Solve 6*d = d + u for d.
5
Let z(o) = 2*o**2 + 6*o - 15. Let v(m) = -3*m**2 - 9*m + 22. Let n(j) = -5*v(j) - 7*z(j). Suppose 2*g + 3*g + 35 = 0. Let f be n(g). Solve -4*b - f = -3 for b.
-5
Suppose 2*t - 3*t = -5. Suppose 3*w = 5*w. Solve -i = -w*i + t for i.
-5
Suppose m - 2*m + 2 = 0. Let l = 2 - 2. Let i = l + 0. Solve i = -m*y - y for y.
0
Suppose 3*c - 24 = 51. Solve 2*r = -3*r + c for r.
5
Let c(k) = k**3 + 5*k**2 + 2*k + 4. Let b be c(-5). Let n = b - -10. Solve 20 = n*v + v for v.
4
Let a(b) = 6*b**2 + b + 1. Let o be a(-1). Let r = 23 - 23. Solve r = 2*f + f - o for f.
2
Let g be (-119)/(-42) + (-2)/(-12). Solve 2*o = -g*o for o.
0
Let c be (10/4)/((-2)/(-4)). Suppose 0 = -5*t + 20, 0 = -0*w + c*w - 2*t - 12. Solve w*y + 7 = -1 for y.
-2
Let l be (-4)/14 + 20/70. Solve y + 0*y = l for y.
0
Let g be 3 + (2 - (0 + 3)). Suppose l = -g*f + 3, -4*f = l - 7 - 4. Suppose -4*o + 52 = -f*i, o + 5*i + 1 = 2. Solve -6*r - 15 = -o*r for r.
3
Let q = 2 + -2. Suppose 5*n - 5 = 5. Solve n*g + q = -6 for g.
-3
Let u be (-32)/24*(-4)/((-32)/(-102)). Solve 20 = -13*o + u*o for o.
5
Suppose -4*x = k - 2, -5*x + 0 = -5*k + 10. Suppose 0 = 2*o - x*o - 26. Let v be 4/14 - 38/(-14). Solve -v*y + 2 = -o for y.
5
Let d(g) = g**3 - 6*g**2 - 6*g - 7. Let c be d(7). Suppose c = s - 3*r + 5*r, 3*s - r - 7 = 0. Solve -6 + s = -w for w.
4
Let i = -109 + 113. Solve i*s - 2*s + 8 = 0 for s.
-4
Let r = -8 + 19. Let w = 15 - r. Solve 4*t = 2*t - w for t.
-2
Suppose -10 = -i + a, -4*i - a = -0*a - 65. Solve -5 = 4*t + i for t.
-5
Let t be (-4)/6 - 24/(-9). Suppose -3*s + 9 = 4*w, 0 = s - w + 2*w - t. Let y be 1/s*(-4 + -1). Solve -y*r = 24 - 4 for r.
-4
Let n(l) = -5*l - 1. Let u(z) = -14*z - 2. Let q(p) = -17*n(p) + 6*u(p). Let h be q(7). Solve 0*s = 4*s + h for s.
-3
Let t(p) = p**3 - 8*p**2 - 8*p + 3. Let m be t(9). Let f(o) = o - 15. Let v be f(m). Let k be 1*4 - 9/v. Solve -k*i - 8 = -3*i for i.
-2
Suppose 5 = -5*v + 55. Solve v + 5 = -5*h for h.
-3
Suppose 0 = 2*i - 0 - 4. Suppose 5*x + o = 14, -x - 14 = -4*x - i*o. Suppose -2*b - 6 = -4*b. Solve -x*m - b + 5 = 0 for m.
1
Let k(b) = -b - 4. Let q be k(-6). Suppose -4*s - i + 8 = 0, 4*s - 2*s - q*i - 4 = 0. Solve -n - 2 = -s*n for n.
2
Let k(g) be the first derivative of 2*g**2 + 4*g - 1. Let r(l) = 9*l + 9. Let d(v) = -14*k(v) + 6*r(v). Let a be d(-3). Solve 5*y = a*y for y.
0
Suppose 0 = -5*q - 2 + 7. Let z be q/2 - 6/(-4). Suppose 0 = 5*s - s - 8. Solve -n - s = z for n.
-4
Suppose 2*o - 2 = -0*o. Suppose 6*x - 20 = -5*b + x, 4*b - 4*x - 24 = 0. Let d be (o - 1)/(b + -3). Solve -2 = 2*v - d*v for v.
-1
Let s = 9 + -7. Let p be s + 4/6*3. Let x(l) = -l**3 + 9*l**2 - 7*l - 2. Let o be x(8). Solve p*y - 6 = o for y.
3
Let b be 90/70 + (-2)/7. Let n be 4 + b + (1 - 1). Solve -3*k + 8*k - n = 0 for k.
1
Let h be ((-12)/10)/(3/(-20)). Suppose 2*y + 0*y - h = 0. Suppose y*o = o + 15. Solve -c - o + 1 = 0 for c.
-4
Suppose 1 = -2*s + 5*q, -4*q + 0 = -3*s + 2. Suppose -s*y + 3 = o, 2*y - 12 = y - 4*o. Solve y = 2*i - 6 for i.
3
Suppose -2*w = -3*w + 3. Suppose -4*z = 5*t - 19, w*t - 6 - 8 = -5*z. Solve t*s = 8 + 1 for s.
3
Suppose 4*w - 4*k - 28 = 0, -40 = -5*w + 2*k - 14. Solve -g = g + w for g.
-2
Suppose 0*g - 5*g = 0. Suppose g = 3*h + 1 - 13. Solve -h*b = b for b.
0
Let l be 15/5 - (2 - -1). Solve l = 2*f - 0*f + 8 for f.
-4
Let p be 0/(-1 + 4 + -2). Solve -u = -p*u for u.
0
Let l(m) = m. Let f be (-2)/1*6/(-4). Let j be l(f). Suppose -2*o + 0*o + 16 = 0. Solve 0 = j*r - o - 1 for r.
3
Suppose 8*l + 46 = 10*l. Solve 0 = -h - 18 + l for h.
5
Let n = 38 + -33. Solve 3*b = -2*b + n for b.
1
Suppose -3*j = 4*l - 6 - 9, -j - 3*l = -5. Suppose -j = -2*y + 3. Solve y = -0*h + 2*h for h.
2
Suppose 2*u - 3 + 5 = 0, 4*u = -4*v + 8. Let d(f) = f**3 + 6*f**2. Let w | {
"pile_set_name": "DM Mathematics"
} |
der when l is divided by 3.
0
What is the remainder when 28 is divided by 70/5 - 0 - 6?
4
Let s(z) = -z**3 + 12*z**2 - 21*z + 14. Let n be s(10). Suppose 5*m + 2*a - 79 = 0, 2*a - 74 = -n*m + 4*a. What is the remainder when 84 is divided by m?
16
Calculate the remainder when 73*(2 - 4)/(-10 + 8) is divided by 31.
11
Let d(p) = -61*p + 12. What is the remainder when 134 is divided by d(-1)?
61
Suppose 2*y - 4*y = 4*w - 16, -4*y + 12 = -2*w. Suppose -j + 3*j + y*x = 78, 144 = 4*j + 4*x. What is the remainder when j is divided by 9?
6
Suppose 0 = 16*t - 25*t + 54. Calculate the remainder when 255 is divided by t.
3
Suppose 6*s = -17 + 167. What is the remainder when 99 is divided by s?
24
Calculate the remainder when 31 is divided by (0 - -3*1) + (-54 - -62).
9
Calculate the remainder when 39 is divided by 2/(-2)*(7 - 13) - 1.
4
Suppose -38*w + 4935 = 9*w. What is the remainder when 221 is divided by w?
11
Suppose u - 4*o + 6*o - 35 = 0, o = -2. Calculate the remainder when u is divided by 7.
4
What is the remainder when (15/2 + -6)*28 is divided by 41?
1
Let w(o) be the third derivative of o**5/20 - 11*o**4/12 + 5*o**3/6 + 29*o**2. What is the remainder when w(-4) is divided by 48?
45
Let f = -5 - -43. Let d(x) = x**2 + 7*x + 16. Calculate the remainder when f is divided by d(-6).
8
Let b(i) = i**3 + 22*i**2 + 34*i - 22. What is the remainder when b(-20) is divided by 17?
13
Let f(g) be the third derivative of g**5/30 - g**4/8 + 2*g**3 - 6*g**2 + 3. Calculate the remainder when f(5) is divided by 28.
19
Let l be 249 - (-3 + -3 + 4). Let a = l - 157. Suppose -8*b = -6*b - a. Calculate the remainder when b is divided by 17.
13
Suppose -40 = -14*c - 12. Suppose -c*i + 16 = 3*j - 16, -2*j = 8. What is the remainder when i is divided by 8?
6
Suppose 17*p = 19*p - 446. What is the remainder when p is divided by 57?
52
Let v = 1 - -3. Suppose -v*w - 4*h = -464, 5*h + 49 = 5*w - 521. Let n = w + -44. What is the remainder when n is divided by 18?
17
Let b(p) = -p**3 + 4*p**2 + 2*p - 4. Let c be b(3). Let d be (-3)/(2/6 - (-4 + 4)). Let x = d + c. What is the remainder when x is divided by 2?
0
Suppose 38 = -t + 15*t - 46. Let q(r) = r**3 + 5*r**2 - 8*r - 3. What is the remainder when q(-6) is divided by t?
3
Calculate the remainder when ((-18)/21)/(42/(-8820)) is divided by 14.
12
Suppose 3*j + 392 = 437. Let s = -90 - -176. What is the remainder when s is divided by j?
11
Let f(r) = 41*r + 182. Calculate the remainder when f(-2) is divided by 53.
47
Suppose -3*n + 183 = -3*s, -42 - 202 = -4*n + 3*s. Let j = n - 103. What is the remainder when (110/(-6))/(14/j) is divided by 14?
13
Suppose 4*s + 4*a - 36 = 0, 3*s - 3 - 18 = -5*a. Calculate the remainder when 38 is divided by s.
2
Suppose 7*z - 10 - 277 = 0. Let h(o) = 11*o. Calculate the remainder when z is divided by h(2).
19
Let z(w) = 64*w - 38. Calculate the remainder when z(3) is divided by 77.
0
Let x = -28 - -316. Suppose 5*b - 4*g = 514, -3*b - g = -x - 34. Calculate the remainder when b is divided by 22.
18
Let r(v) = -v**3 + 5*v**2 + 5*v - 1. What is the remainder when r(5) is divided by (-696)/580*1*-15?
6
Suppose -46*m - 4*x - 169 = -49*m, 3*x + 3 = 0. What is the remainder when m is divided by 29?
26
Let z = -11 + 11. Let f = 2 + z. Suppose -f*x + 80 = -3*v, 3*x - v = 2*v + 117. Calculate the remainder when x is divided by 10.
7
Let u be -2 + 3 + 3/(-3). Suppose -5*p + 12 + 13 = u. Suppose -3*o - 3*h + 2*h + 136 = 0, p*o - 234 = 2*h. Calculate the remainder when o is divided by 12.
10
Suppose 8*j + 120 = 3*j. Let i be ((-1)/(-1))/((119/126)/(-17)). Calculate the remainder when 73/3 - j/i is divided by 5.
3
Let m(w) = 6*w**2 + 13*w + 25. What is the remainder when m(-6) is divided by (-22)/(-8)*12/1?
31
Let j = -452 + 895. What is the remainder when j is divided by 37?
36
Suppose -144 = -6*m - 3*m. Calculate the remainder when 79 is divided by m.
15
Let g(o) = 17*o + 4. What is the remainder when g(7) is divided by (-64)/224 + 219*2/14?
30
What is the remainder when 195 is divided by (-8)/10*-69*(-25)/(-30)?
11
Let j(a) = -10*a**2 - 92*a - 1. Calculate the remainder when j(-7) is divided by 22.
21
Let k be (3 + -85)*2*(-27)/12. Suppose -k = 7*u - 16*u. Suppose j + 3*b + b = -1, 2*b + 28 = 2*j. What is the remainder when u is divided by j?
8
Suppose 3*w - 59 = 40. Let l(b) = -b + 4. Suppose -5*o - 16 = 9. What is the remainder when w is divided by l(o)?
6
Suppose 4*b - 64 = 5*f, -5*b + 5*f = 2*f - 80. What is the remainder when 25 is divided by (21/12)/(4/b)?
4
Let o be -3 + 2 + 1 + 3. Suppose 0 = -2*a + o*a - 30. Let t = 58 - a. Calculate the remainder when t is divided by 15.
13
Let b = 126 - 89. Calculate the remainder when b is divided by (5*4)/(3 - 1).
7
Suppose 9*f - 12*f = -870. Suppose -5*m + f = -5*n, -5*n = -0*m + 4*m - 196. Calculate the remainder when m is divided by 14.
12
Suppose -2*h - 3*h - 3*w + 121 = 0, -4*h - 4*w + 100 = 0. What is the remainder when 152 is divided by h?
14
Let b(k) be the first derivative of -4*k**3/3 - 3*k**2/2 + 5*k - 12. Let v be b(3). Calculate the remainder when (v/(-15))/(3/153) is divided by 23.
21
Let g be 4/24 + (-339)/(-18). Suppose -x + g = 7*i - 2*i, 4*i = -2*x + 20. Calculate the remainder when 11 is divided by x.
3
Let w(n) = -10*n - 355. What is the remainder when w(-39) is divided by 18?
17
Suppose 5 = 4*b + 3*k, 2*b - 40 = 4*k - 10. What is the remainder when 179 is divided by b?
4
Let b = -47 - -31. What is the remainder when (-633)/(-7) + b/(-28) is divided by 23?
22
Suppose 71 = 3*b - 5*x - 4, -4*b + 100 = -x. What is the remainder when b is divided by 55/3 + (-7)/21?
7
Let f be 4 - 1 - (-1 + 7). Let k be 2 - (-75)/(-2 - f). Let j = k + -32. Calculate the remainder when j is divided by 16.
13
Let q = -10 + 20. Let l = -3 + q. What is the remainder when 12 is divided by l?
5
Calculate the remainder when 164 is divided by 2 - (-4 + (-4 - -5)).
4
Let n(w) = -w + 11. Let y be n(9). Let r be y*(21/(-2) - 1). Calculate the remainder when 2*(r/(-2) + -3) is divided by 10.
7
Suppose 0 = k - 6*k + 440. Suppose 4*u = 6*s - 2*s + k, s = -5. Calculate the remainder when 64 is divided by u.
13
Suppose 76 = -a + 151. What is the remainder when a is divided by 7?
5
Let i(q) = -q**2 + 11*q. Let w be i(8). Suppose u + 4*s = 26, 4*u - 3*s = w + 4. What is the remainder when u is divided by 6?
4
Suppose 3*a - 2*a = 0. Let w = -285 + 289. Suppose -7*f = -2*f + w*h - 361, 2*f - 4*h - 150 = a. Calculate the remainder when f is divided by 19.
16
Let i(t) = 2*t**2 + 5*t - 7. Suppose 5*f - o - 7 = f, -2*f - 3*o = 7. Suppose -2*p = f - 41. What is the remainder when i(-6) is divided by p?
15
Suppose -192 = -2*y - 6*x, 3*x = -3*y - 2*x + 300. Calculate the remainder when y is divided by 54.
51
Let u = 166 - 136. What is the remainder when 116 is divided by u?
26
Let i = -48 - -63. Suppose i*w = 13*w + 30. What is the remainder when 42 is divided by w?
12
Let u = 530 - 455. Let c = -19 + 35. What is the remainder when u is divided by c?
11
Suppose 2*w + c = 13 + 10, -4*w + 2*c = -26. Calculate the remainder when 4 is divided by w/6*6/9*2.
0
Let r = -30 - -39. Let i = 39 + r. Suppose -51 = -3*o - 0*o. Calculate the remainder when i is divided by o.
14
Let r(a) = -a + 2*a**2 + 9 + 0*a + 4*a + 3*a. Let l be r(-7). Suppose 5*v - l + 15 = 0. Calculate the remainder when 37 is divided by v.
7
Let s(r) = 96*r + 580. Calculate the remainder when s(3) is divided by 10.
8
Let h = -551 - -574. Calculate the remainder when h is divided by 9.
5
Let k(t) = -44*t - 214. Suppose 0*j + 2*j - 20 = 0. What is the remainder when j is divided by k(-5)?
4
Let w = 279 + -263. What is the remainder when 78 is divided by w?
14
Suppose 4 = -o + 2*b + 17, 3*o - 84 = -3*b. Let w = 15 + o. Calculate the remainder when w is divided by ((-15)/27)/(5/30)*-6.
18
Suppose -3*d - 2 = -8. Suppose 4*i + b = 57, -2*i + 21 = -3*b + d*b. Let g = 13 + 37. What is the remainder when g is divided by i?
11
What is the remainder when -2 + 42/22 - (-15485)/209 is divided by (1 - 5)/2 - -21?
17
Let d(h) = h**2 - 8*h. Let q be d(9). Let l = -5 + q. Suppose -l*v + 32 = -16. What is the remainder when v is divided by 7?
5
Let t be -2 + 9 - (3 + -1). Suppose -t*h - 3*f = -f - 410, -2*f - 150 = -2*h. What is th | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when o(-10) is divided by l?
3
Let c = -17 - -28. Let n = -4 - -7. Let w(g) = -g**3 + 5*g**2 + 2*g - 3. Calculate the remainder when w(n) is divided by c.
10
Suppose 0 = -5*i + 19 + 6. Calculate the remainder when 18 is divided by i.
3
Let h(w) = w**3 - 7*w**2 + 7*w + 1. Suppose a - 18 = -2*a. Suppose 2*v - 44 = -18. Calculate the remainder when v is divided by h(a).
6
Let x = -1 + 2. Suppose -2*f = 2*f. Suppose f = w + 2*w - 5*k + 4, -2*w + k + 2 = 0. Calculate the remainder when w is divided by x.
0
Suppose 25 + 0 = 5*l. Calculate the remainder when l is divided by ((-8)/1)/(1 + -3).
1
What is the remainder when 12 is divided by 17/5 + 3 + (-34)/10?
0
Suppose -5*c - 5*z = -265, 2*c - 93 = 4*z + 7. Suppose -2*k = -42 - c. What is the remainder when k is divided by 12?
11
Suppose -5*z - 20 = -0*z. Calculate the remainder when 261/4 + z/16 is divided by 22.
21
Suppose -6*n - 108 = -18*n. Let i(k) = k**2 + k + 25. What is the remainder when i(0) is divided by n?
7
Suppose 2*w = 6*w + 4. Let d be (-3)/(w*6)*-6. Calculate the remainder when d + (1 - -17) + -3 is divided by 7.
5
What is the remainder when 9 is divided by 6/(6*(2 + 14/(-8)))?
1
Let p(w) = w**2 + 5*w - 10. Let x be p(-7). Suppose x*j = -4*n + 32, -1 = 5*n - 3*j - 81. What is the remainder when n is divided by 4?
1
Suppose -3*c = -70 + 1. Calculate the remainder when 66 is divided by c.
20
Let q(h) = h**3 + 7*h**2 - 21*h - 7. Calculate the remainder when q(-9) is divided by 4.
0
Let o = -107 - -124. What is the remainder when 33 is divided by o?
16
Let q(z) = 11*z - 12*z - 5 + 132*z**3 + 4. Let d be q(-1). Calculate the remainder when (2/3)/((-2)/d) is divided by 15.
14
Suppose 0 = 2*g - 14 + 74. Let n = 42 + g. Suppose -5*i = 2*m - 33 - 30, 4*m = 2*i + 138. Calculate the remainder when m is divided by n.
10
Let m = -5 - -23. Let k = m - 5. Calculate the remainder when 23 is divided by k.
10
Let n = 158 + -60. Let d = n - 58. Calculate the remainder when d is divided by (-355)/(-25) - 1/5.
12
Let a be (15 - 0) + 0/3. Let i = 11 - a. Calculate the remainder when 23 is divided by (i/6 - -2)*9.
11
Let v be (-1)/(-2)*-5*-2. What is the remainder when 15 is divided by (6/v)/(2/10)?
3
Suppose 11 = -3*r + 5*d, 3*r + 2*d = -d + 21. Suppose -117 - r = -4*x. Suppose 3*g - g - x = 0. Calculate the remainder when g is divided by 8.
7
Let i(v) = 0 + 1 - v**3 + 12*v**3. Calculate the remainder when 45 is divided by i(1).
9
Suppose -14 = 3*o - 62. Let y(g) = g**2 + 7*g + 9. What is the remainder when o is divided by y(-7)?
7
Suppose -4*m + i + 9 + 10 = 0, 0 = m + 3*i - 8. Suppose -m*b + 62 = -4*b. What is the remainder when b is divided by 21?
20
Let a = -48 + 80. Calculate the remainder when a is divided by 11.
10
Let s = 1 - 0. Let k(l) = 43*l. Let g = 0 - -15. Calculate the remainder when k(s) is divided by g.
13
Suppose 0 = -3*i - 4*f + 52, i - 27 + 3 = -3*f. Let m(o) = 8*o**2 - 2*o - 2. What is the remainder when m(-2) is divided by i?
10
Suppose -h - 44 = -5*h. Calculate the remainder when 42 is divided by h.
9
What is the remainder when 24 is divided by ((-5)/15)/(43/(-42) - -1)?
10
Let v(x) = x**3 + x**2 + 5. Let m be v(0). Suppose m*r - 18 = 12. Calculate the remainder when (-3)/(-27)*3*r is divided by 1.
0
Let g(n) = -n**2 + 7*n - 10. Let y be g(5). Let d = 3 - y. Calculate the remainder when 9 is divided by d.
0
Let l be 42/10 + (-1)/5. Suppose -3 = b, l*h + 4*b - 66 - 86 = 0. Calculate the remainder when h is divided by 15.
11
Let f(d) = 6*d - 5. Let p be f(-5). Suppose 4*g = h - 0*h - 52, 0 = -2*g + 4. Let n = h + p. Calculate the remainder when n is divided by 14.
11
Let v = 112 + -64. What is the remainder when 141 is divided by v?
45
Let v = 118 - 51. Suppose 2*t - v = -0*t - k, 0 = k - 5. What is the remainder when t is divided by 8?
7
Let z(x) = -5*x + 1. Let n(o) = -2*o**2 + 21*o + 14. Calculate the remainder when z(-2) is divided by n(11).
2
Suppose 0 = -5*i - 3*g + 166, 0*i = i - 3*g - 44. What is the remainder when (21/(-14))/(6/(-28)) is divided by 1/(-2) + i/10?
1
Let p = 2 + -2. Suppose p*q - q + 3 = 0. Suppose -12 = 16*z - 156. Calculate the remainder when z is divided by q.
0
Suppose 24*t - 34*t = -1450. What is the remainder when t is divided by 50?
45
Suppose 4*n = 2*n - 4. Let p = -4 - n. Let i = p + 6. Calculate the remainder when 6 is divided by i.
2
Suppose -3*t + z + 238 = 0, -2 = 5*z - 27. What is the remainder when t is divided by 21?
18
Suppose 2*v = 7*v + 5. Let j be ((-78)/9)/(v/3). Suppose o + j = 3*o + 3*q, 0 = -3*o + q + 61. What is the remainder when o is divided by 10?
9
Let v(g) = 2*g + 1. Suppose 175 = 7*c - 2*c. Calculate the remainder when c is divided by v(4).
8
Suppose -5*j + 30 = -40. Let t(s) = -4*s - 1. Let a be t(-1). What is the remainder when (4/a)/((-2)/(-81)) is divided by j?
12
Suppose 2*m - 4 = 0, -5*j - 200 = 5*m - 0*m. Calculate the remainder when 2/(-14) - 300/j is divided by 4.
3
Suppose 4*p + 245 = 5*c - p, 2*c = 4*p + 94. What is the remainder when c is divided by (26/4)/((-1)/(-2))?
12
Let g = 91 - -6. What is the remainder when g is divided by 25?
22
Let o(c) = -3*c + 1. Let m be o(-1). Suppose 0 = -3*a - 3*d - 9, 4*a - 8 = m*d + 12. What is the remainder when 2 is divided by a?
0
Suppose -5*z + 4*f - 7 = -54, -z = 4*f + 5. What is the remainder when z is divided by 3?
1
Suppose 0 = s + 2*c - 28, -4*s + 5*c + 47 + 13 = 0. Let p be (-2)/2*1/1. Calculate the remainder when s is divided by (-42)/(-4) + p/(-2).
9
Let k(l) = -l**2 + 8*l - 4. Let x be k(7). Suppose -4*z - 16 = -2*r, -x*z + 29 = 4*r - 8*z. What is the remainder when r is divided by 2?
0
Let z(c) = c**3 + 5*c**2 + 4*c + 3. Let l be -1 - -1 - (-5 + 1). Let x = l + 0. What is the remainder when z(-2) is divided by x?
3
Let h(j) = -8*j + 1. What is the remainder when 0 - ((-76 - 1) + 3*1) is divided by h(-3)?
24
Let n(i) = 46 - 16 - 17 - i. Calculate the remainder when n(7) is divided by 4.
2
Suppose -110*y - 438 = -113*y. What is the remainder when y is divided by 37?
35
Suppose 5*o - 32 = 3*o. What is the remainder when o is divided by (8/6)/((-8)/(-36))?
4
Let q = -5 - -29. Suppose i - 14 = 6. Let k = -7 + i. Calculate the remainder when q is divided by k.
11
Let f be (-157)/(2 + -1 + 0). Let b = -90 - f. Calculate the remainder when b is divided by 17.
16
Suppose 4*n - 27 = -f, -8 = 5*n - f - 44. Calculate the remainder when 60 is divided by n.
4
Let u(d) = d**3 + d**2 - 3*d + 12. What is the remainder when 70 is divided by u(0)?
10
Let k be 2/10 + (-22)/10. Suppose -2*l + 27 = -5*c, -7*l + 32 = -4*l + c. What is the remainder when l is divided by (-192)/(-33) - k/11?
5
Suppose 80 = -105*t + 109*t. Calculate the remainder when 77 is divided by t.
17
Let r be ((-9)/(-36))/(2/24). Suppose 4*x = -r*t + 182, 3*t - 172 = 3*x - 2*x. What is the remainder when t is divided by 20?
18
Let n(u) = -u**2 + 8*u + 11. Let z be n(9). Suppose 2*j - 164 = -z*j. What is the remainder when j is divided by 14?
13
Suppose -u + 28 = 5*l, 2*u = 4*l + u - 26. Suppose -2*a + l = -10. Suppose -3*y - a = -4*y. Calculate the remainder when 22 is divided by y.
6
Suppose 0 = 11*n - 2*n - 45. What is the remainder when 24 is divided by n?
4
Let j(k) = 6*k. What is the remainder when j(5) is divided by 4?
2
Let n be (-3 + 3)/(-2) - -255. Suppose 2*x - n = 7*x. Let c = 86 + x. Calculate the remainder when c is divided by 18.
17
Suppose o = 2*o - 104. Let j = 147 - o. What is the remainder when j is divided by 22?
21
Suppose -3*g + 98 = 4*g. Let l = -76 - -116. What is the remainder when l is divided by g?
12
Let f = 4 + -1. Let s = f - -10. Suppose 4*c + c = 185. Calculate the remainder when c is divided by s.
11
Let r = 624 - 63. Let m be (2/(-6))/((-1)/r). Let j = m - 122. What is the remainder when j is divided by 22?
21
Let b be 1 + -19 - (-5 + 8). Let g = b + 41. Calculate the remainder when g is divided by 7.
6
Suppose 5*o - 70 = 4*w, w = o - w - 20. Calculate the remainder when 25 is divided by o.
5
Let c = 28 - -11. Suppose 4*q + 3 - c = 0. Let b = -25 - -42. What is the remainder when b is divided by q?
8
Suppose -32 = -3*o + 4*q, -q - q = 10. Suppose 0 = o*r - 4*s - 21 - 67, 2*r = 5*s + 59. Suppose -49 = 4*v - 5*v. Calculate the remainder when v is divided by r.
15
Calculat | {
"pile_set_name": "DM Mathematics"
} |
Let k(z) = 2*z**3 + 22*z**2 - 16*z - 5. Let a(v) = -21*v**3 - 245*v**2 + 175*v + 56. What is 5*a(d) + 56*k(d)?
7*d**3 + 7*d**2 - 21*d
Let v(f) = -21*f - 7042. Let z(r) = -8*r - 2349. What is -3*v(a) + 8*z(a)?
-a + 2334
Let d = 10707 + -10703. Let u(c) = 7*c - 8. Let v(x) = 8*x - 8. Determine d*v(g) - 5*u(g).
-3*g + 8
Let v(d) = 10*d + 173 - 182 + 11*d. Let x(w) = 2 + w + 2*w - 7*w - w. Give 2*v(f) + 9*x(f).
-3*f
Let k(s) = 17305*s + 9. Let r(f) = 8652*f + 4. Calculate 4*k(t) - 9*r(t).
-8648*t
Let u(j) = -3*j**3 - 2*j**2 - 4*j + 2. Suppose 55*m - 57*m = -2*i + 6, 0 = -i + 4*m + 21. Let k(z) = 3*z**3 + 3*z**2 + 5*z - 2. Give i*u(g) - 2*k(g).
3*g**3 + 2*g - 2
Let o(p) = p**3 - 2*p**2 + 24*p + 8. Let k(i) = -i**3 + 2*i**2 - 29*i - 11. Determine 5*k(z) + 6*o(z).
z**3 - 2*z**2 - z - 7
Let s(v) be the second derivative of -v + 1/2*v**2 + 0 - 1/6*v**3. Let m(b) = -27*b**2 + 4*b + 55*b**2 - 26*b**2 - 5. Give -m(t) - 6*s(t).
-2*t**2 + 2*t - 1
Let v(i) = 1. Let z(k) = -k - 1. Suppose 133*m + 360 = 223*m. What is m*v(d) + 6*z(d)?
-6*d - 2
Let y(z) = -14*z**3 - 6*z**2 - 5*z + 4. Let s(j) be the third derivative of 7*j**6/60 + 7*j**5/60 + j**4/4 - 5*j**3/6 + j**2 + 678*j. Determine 5*s(v) + 6*y(v).
-14*v**3 - v**2 - 1
Let p(a) = -15*a**2 + 4*a. Let g(r) = -4*r**2 + r. Let d = 130 + -136. What is d*p(y) + 22*g(y)?
2*y**2 - 2*y
Let p(o) = -4*o + 20. Let f(q) be the third derivative of q**4/8 - 13*q**3/6 + 88*q**2 + 2*q + 1. What is -7*f(d) - 5*p(d)?
-d - 9
Let r be (111/(-12))/((-8)/32). Let q = -15 - r. Let o = -46 - q. Let u(k) = -k + 1. Let p(d) = 4*d - 6. Calculate o*u(b) + p(b).
-2*b
Let x(t) = 29*t + 361. Let m(b) = 13*b + 180. Calculate -9*m(f) + 4*x(f).
-f - 176
Let u(b) = -6*b**3 + 4*b - 3. Suppose -19*a - 1680 = -12*a. Let q be a/20 + 1 + 6. Let o(m) = 4*m**3 - 3*m + 2. What is q*u(l) - 7*o(l)?
2*l**3 + l + 1
Let f(z) = -13*z**2 - 3*z - 1. Let l(h) = -15*h**2 - 4*h + 2. Calculate 5*f(g) - 4*l(g).
-5*g**2 + g - 13
Let b(j) = -30*j - 8. Let h(i) = 27*i + 146. Let o be h(5). Let k = 284 - o. Let p(f) = 10*f + 3. Determine k*b(n) + 8*p(n).
-10*n
Let f(w) = w**2 - w - 1. Let u(n) be the first derivative of 5*n**3/3 - 6*n**2 - 4*n - 1375. Determine -6*f(k) + u(k).
-k**2 - 6*k + 2
Let o = 12 - 9. Let x(z) = -2*z**2 - 3*z + 3. Let a be (-1)/2*-1*36*1. Let t(s) = 2*s**2 - 2 - 11*s + a*s - 5*s. Give o*t(m) + 2*x(m).
2*m**2
Let b(y) = -2*y**2 - 10*y + 5. Suppose 12*j - 12 = 2 - 2. Let h(v) = -v**2 - v + 1. Determine j*b(r) - 5*h(r).
3*r**2 - 5*r
Let p(k) = 19*k. Let d(y) = -247*y. Let u = -13480 - -13483. Give u*d(s) + 38*p(s).
-19*s
Let r(m) = -7646*m - 11. Let n(g) = -2*g + 6. Calculate -2*n(x) - r(x).
7650*x - 1
Let o(l) = 15243817*l**2 + 35127*l - 11709. Let s(r) = -5208*r**2 - 12*r + 4. What is 4*o(p) + 11709*s(p)?
-5204*p**2
Let y(c) = c. Let u(t) = -t**2 + 13*t + 1. What is u(b) - 5*y(b)?
-b**2 + 8*b + 1
Let j(r) = 33594*r**2 - 15*r - 30. Let g(b) = 8397*b**2 - 4*b - 8. Give 15*g(l) - 4*j(l).
-8421*l**2
Let p(b) = b**2 - 2*b + 1. Suppose -5*k + 31 = -159. Suppose -53 + k = -3*n. Let t(s) = -s**2 + 4*s - 1 + 0*s - 6*s + 5*s. Give n*p(m) + 3*t(m).
2*m**2 - m + 2
Let u(z) = 5*z - 5. Suppose -5*y + 5*v - 1075 = 0, -15*y - 1065 = -10*y + 5*v. Let f = y + 213. Let c(n) = -n + 1. Calculate f*u(d) - 3*c(d).
-2*d + 2
Let p(o) = -3*o**3 - 2*o**2 - 5*o + 2. Let w(q) = -q**3 - q**2 - q. Let i(y) = 165*y + 16. Let d be i(-2). Let s = 309 + d. What is s*w(x) + p(x)?
2*x**3 + 3*x**2 + 2
Let g(u) = u**3 + 7*u**2 - 9*u - 5. Let q be g(-8). Let m(f) = -6*f - 1 - 2 + q. Let a(x) = -4*x. What is -7*a(y) + 5*m(y)?
-2*y
Let m(d) = 227*d**2 - 2*d + 3. Let s(w) = 228*w**2 - w + 2. Calculate 2*m(v) - 3*s(v).
-230*v**2 - v
Let k be 2/((-28)/21 - 112/(-120)). Let f(s) = 3*s**3 - 5. Let q(l) = -4*l**3 + 6. Let d be -1*((-2)/2 - -7). Calculate d*f(u) + k*q(u).
2*u**3
Let u(n) = -54882570*n**2 - 36306*n - 54459. Let x(t) = -12094*t**2 - 8*t - 12. Determine -4*u(p) + 18153*x(p).
-12102*p**2
Let a(d) = -2*d - 5. Let t(w) be the third derivative of -w**4/8 - w**3 - 9*w**2 - 32*w - 51. Suppose -4*n = -0*n + 16. Calculate n*a(z) + 3*t(z).
-z + 2
Let d(x) = x**2 - 2*x - 1. Suppose 0 = 3*b - 2*c - 26, 5 = -3*b - 2*c + 15. Let n(s) = -s + 2 + 0*s - 3*s**2 + b*s. Let j = 62 + -66. Give j*n(w) - 10*d(w).
2*w**2 + 2
Let x(b) = -53*b**3 + 5*b - 5. Let f(i) be the third derivative of 493*i**6/24 - 29*i**4/3 + 116*i**3/3 + 5*i**2 - 217. Give -5*f(a) - 232*x(a).
-29*a**3
Let l(d) = -2*d**2 - 5. Let z(s) = -3*s - 167. Let v be z(49). Let r = v + 317. Let o(m) = -3*m**2 - 9. Calculate r*o(q) - 5*l(q).
q**2 - 2
Let c(q) = q. Let h(s) = 3*s + 10. Let k(x) = -12. Let p(l) = -5*h(l) - 4*k(l). Determine -6*c(j) - p(j).
9*j + 2
Let d = -202 + 24. Let x = d - -174. Let o(p) = p + 1. Let g(s) be the second derivative of s**4/4 + s**3/3 + 5*s**2/2 - 4*s. Give x*o(l) + g(l).
3*l**2 - 2*l + 1
Let o(x) = -1576*x + 11. Let j(w) = -781*w + 5. Give 7*j(c) - 3*o(c).
-739*c + 2
Let i(t) = 15*t**3 + 8*t**2 + 116*t - 2. Let b(d) = -16*d**3 - 12*d**2 - 114*d + 3. Calculate 2*b(w) + 3*i(w).
13*w**3 + 120*w
Let l(f) = -72*f**2 - 1774*f + 22. Let u(p) = 14*p**2 + 355*p - 4. What is -2*l(s) - 11*u(s)?
-10*s**2 - 357*s
Let p(k) = -14705*k**3 - 55*k**2 + 22. Let q(t) = -3676*t**3 - 15*t**2 + 6. Calculate -6*p(c) + 22*q(c).
7358*c**3
Let x(c) = 5*c**3 + 2*c**2 - 2*c + 1. Let f(h) = -21*h**3 + 7*h**2 + 8*h - 9. What is -f(u) - 4*x(u)?
u**3 - 15*u**2 + 5
Let y(f) = 3*f - 592. Let s(b) = b - 209. Let v(h) = -17*s(h) + 6*y(h). Let a(t) = 3*t**3 + 10 + 5 + 6 + 3*t + 15*t. Give -a(n) + 18*v(n).
-3*n**3 - 3
Let f(d) = -d**3 - d**2 + 704*d - 22. Let s(j) = -j**2 - 10. Give -f(k) + 2*s(k).
k**3 - k**2 - 704*k + 2
Let c(k) = -k**3 - 14*k**2 + k + 40. Let t(i) = i**3 + 12*i**2 - i - 39. Calculate 5*c(q) + 6*t(q).
q**3 + 2*q**2 - q - 34
Suppose 59 - 1 = 5*h - 3*b, -3*h + 35 = -2*b. Let y(l) = -8*l + 2. Let o(x) = -1. Let i(u) = 6*o(u) + y(u). Let p(s) = -15*s - 7. Determine h*i(m) - 6*p(m).
2*m - 2
Suppose 16588 = -114*z + 166*z. Let n(h) = -29*h**2 + 6*h + 6. Let k(w) = 1537*w**2 - 319*w - 319. Calculate z*n(g) + 6*k(g).
-29*g**2
Let l(p) = 3*p**2 + 5*p - 6. Let a(z) be the second derivative of z**4/3 + z**3 - 3*z**2 + 1631*z. Give 6*a(n) - 7*l(n).
3*n**2 + n + 6
Let g(p) = -2 - 3*p**2 + p**2 - 4*p**2 - 3*p. Let o be (3/(-6))/(3/(-12)). Let i(j) = -7*j**2 - 4*j - 3. Suppose 13 = -7*n - 8. Calculate n*g(m) + o*i(m).
4*m**2 + m
Let i(t) = 3*t - 3. Let b(u) = -u - 9. Let a be b(-8). Suppose -2 = -5*q - 17. Let l(h) be the third derivative of h**3/6 + 14*h**2. What is a*i(s) + q*l(s)?
-3*s
Let c(r) = 2*r**2 + 233. Let w(x) = -x - 1. Give c(s) + w(s).
2*s**2 - s + 232
Let n = 20415 - 20413. Let p(s) = -s**2 - s. Let z(v) = -2*v**2 + v. Let a = 9 + -3. Let b = 8 - a. Calculate b*z(o) + n*p(o).
-6*o**2
Let x(a) = -7*a**3 + 7*a**2 + 7*a + 7. Let j(l) = 7*l**2 + 3 - 4*l**2 - 2399*l + 2402*l - 4*l**3. Give -7*j(t) + 3*x(t).
7*t**3
Let v = 787 + -779. Let j be 72/(v - 0) - 6. Let c(f) = -2*f**2 + 3*f. Let u(d) = 5*d**2 - 7*d - 1. Determine j*u(h) + 7*c(h).
h**2 - 3
Let a = -62 - -71. Suppose 23 = 7*w + a. Let s(o) = 4*o**2 + o - 3. Let z(v) = -v**2 + 1. What is w*s(y) + 6*z(y)?
2*y**2 + 2*y
Let o(w) be the second derivative of w**3 + 7*w**2/2 - 2*w. Let l = 361 - 366. Let i(d) = 3*d + 3. Calculate l*i(k) + 2*o(k).
-3*k - 1
Let o(a) = 7*a**3 - 691*a**2 + 12*a - 6. Let l(d) = -8*d**3 + 691*d**2 - 14*d + 6. What is 6*l(h) + 7*o(h)?
h**3 - 691*h**2 - 6
Let k(f) = 5*f - 12. Let v be 6 - 1 - ((-18)/(-18) + 4 + 1). Let w(h) = h. Determine v*k(l) + 4*w(l).
-l + 12
Let b(p) = 30*p**2 - 202*p + 38. Let k(h) = -14*h**2 + 103*h - 19. Give 6*b(a) + 13*k(a).
-2*a**2 + 127*a - 19
Let i(n) = 1. Let t(s) be the first derivative of 2*s**3/3 + s**2/2 + 5*s + 45. Suppose 0 = g + 2*g - 2*r - 12, 5*g = -4*r + 20. Calculate g*i(p) - t(p).
-2*p**2 - p - 1
Let v(m) = -1830*m + 37. Let j(k) = -7*k + 6. Calculate 6*j(b) - v(b).
1788*b - 1
Let p(i) = 2*i**2 - 24*i + 71. Let h be p(6). Let z(g) = 9*g + 3. Let s(x) = -x. Determine h*z(j) - 4*s(j).
-5*j - 3
Let n(p) = -3*p**3 + 5*p**2 - 9. Let q(x) = -x**3 + 2*x**2 - 4. Let l = -7 - -12. Let b(y) = -6*y**2 - 301*y - 52. Let s be b(-50). Give l*q(v) + s*n(v).
v**3 - 2
Let s(x) = 3 + 0*x + 0*x - 9 - 9*x. Let i(j) = 45*j - 5 | {
"pile_set_name": "DM Mathematics"
} |
- 6614297493264/7 = 0. What is k?
-401652, -41
Let -a**3 - 7895083*a**2 - 15583087841763*a - 15583079946681 = 0. Calculate a.
-3947541, -1
Determine w so that 2*w**2 + 38906*w - 9731800 = 0.
-19700, 247
Find g, given that -7921*g**5/4 + 198737*g**4/4 - 210400*g**3 + 177032*g**2 - 14656*g + 320 = 0.
4/89, 1, 4, 20
Factor 4*m**2 - 8750360*m + 4785550008100.
4*(m - 1093795)**2
Factor 3*k**3 + 52644*k**2 + 368307*k - 947214.
3*(k - 2)*(k + 9)*(k + 17541)
Factor 289593*o**2/2 - 95*o/2.
o*(289593*o - 95)/2
What is l in -3*l**4 - 5292*l**3 - 320271*l**2 + 2070162*l - 2816856 = 0?
-1701, -69, 2, 4
Factor -v**4 + 52806*v**3 - 697751793*v**2 + 16723237752*v - 100293822864.
-(v - 26391)**2*(v - 12)**2
Factor 5*t**3 + 38140*t**2 - 534820*t + 917040.
5*(t - 12)*(t - 2)*(t + 7642)
Let -4*a**5 - 37488*a**4 - 87908948*a**3 - 347625784*a**2 + 8004468864*a + 43002117760 = 0. Calculate a.
-4684, -7, 10
Factor 5*i**4 - 203110*i**3 + 2081888805*i**2 - 390076817200*i + 18441985352000.
5*(i - 20216)**2*(i - 95)**2
What is d in -4*d**2 - 19376648*d + 116260032 = 0?
-4844168, 6
What is s in 2*s**4 + 116*s**3 - 4326*s**2 - 82224*s - 204768 = 0?
-79, -12, -3, 36
Factor -5*d**2 + 23340*d + 5504625.
-5*(d - 4893)*(d + 225)
Find p such that -2*p**4/9 + 4888*p**3/9 - 35456*p**2/3 - 484192*p/9 - 503776/9 = 0.
-2, 26, 2422
Determine y so that -y**3/7 - 1635720*y**2/7 - 95556893004*y - 2675566832656/7 = 0.
-817858, -4
Suppose 4*j**2 - 4219852*j - 29539160 = 0. Calculate j.
-7, 1054970
Solve -2*r**4/9 + 442*r**3/9 - 22954*r**2/9 + 21638*r/9 + 5004 = 0 for r.
-1, 2, 81, 139
Let -3*f**5/5 - 3174*f**4/5 + 64743*f**3/5 + 67914*f**2/5 = 0. What is f?
-1078, -1, 0, 21
Solve 3*n**5 - 1179*n**4 - 35313*n**3 - 24201*n**2 + 1149330*n = 0 for n.
-26, -7, 0, 5, 421
Let 2*v**3/7 - 487250*v**2/7 = 0. What is v?
0, 243625
Find k such that 12*k**5 - 2512*k**4 + 29172*k**3 - 2784*k**2 - 72304*k - 37824 = 0.
-1, -2/3, 2, 12, 197
Factor -q**2/3 - 660979*q + 3965878/3.
-(q - 2)*(q + 1982939)/3
Factor 3*w**3 - 23574*w**2 + 1565787*w + 1589364.
3*(w - 7791)*(w - 68)*(w + 1)
Solve -2*k**4/5 + 8644*k**3/5 + 269714*k**2/5 + 748604*k/5 + 487536/5 = 0 for k.
-28, -2, -1, 4353
Factor t**2 - 1240575*t + 140172206.
(t - 1240462)*(t - 113)
Factor 6*j**2/5 + 27873*j + 209034/5.
3*(j + 23226)*(2*j + 3)/5
Factor -3*w**2 + 8751*w - 26226.
-3*(w - 2914)*(w - 3)
What is b in -2*b**2/15 + 987316*b/3 - 609245552410/3 = 0?
1234145
Let -2*h**2 + 39008252*h - 190205465511938 = 0. What is h?
9752063
Determine n, given that 3993*n**5/2 + 43621347*n**4 - 95177115*n**3/2 + 16223544*n**2 - 1769850*n = 0.
-21850, 0, 3/11, 6/11
Let -7*b**3/4 + 10425*b**2/4 - 896832*b + 256025 = 0. Calculate b.
2/7, 539, 950
Solve 4*k**4/7 - 260*k**3/7 - 200*k**2/7 + 41280*k/7 + 27648 = 0.
-8, -6, 16, 63
Factor 2*l**3 - 430022*l**2 - 39574720*l - 910315896.
2*(l - 215103)*(l + 46)**2
Factor 3*f**2 - 1259712*f - 25195440.
3*(f - 419924)*(f + 20)
Determine a so that -4*a**2 - 226496*a + 13150224 = 0.
-56682, 58
Factor -2*f**2 + 188848*f - 20749080.
-2*(f - 94314)*(f - 110)
Determine d, given that 2*d**4/3 + 470*d**3/3 + 10030*d**2/3 + 59170*d/3 + 16536 = 0.
-212, -13, -9, -1
Factor -y**2 - 1085961*y + 21719620.
-(y - 20)*(y + 1085981)
What is l in 5*l**3 + 19657*l**2 - 103758598*l - 41506584 = 0?
-6927, -2/5, 2996
Factor 3*k**2/5 - 4020*k + 719712/5.
3*(k - 6664)*(k - 36)/5
Let 15*y**4 + 227500*y**3 + 862224890*y**2 - 2876383700*y + 862983375 = 0. What is y?
-7585, 1/3, 3
Factor 2*b**2/11 + 3155464*b/11 + 18932712/11.
2*(b + 6)*(b + 1577726)/11
Let 3*y**4 + 1250817*y**3 + 130379222691*y**2 + 130375470255*y - 260755943766 = 0. Calculate y.
-208469, -2, 1
Factor i**2/2 + 55263562*i + 1527030642463922.
(i + 55263562)**2/2
Let -3628*y**2 + 1251676*y/5 - 1104/5 = 0. Calculate y.
4/4535, 69
Factor -2*z**2/3 + 7034*z/3 - 2723564/3.
-2*(z - 3074)*(z - 443)/3
Factor 2*m**5 + 980*m**4 + 7760*m**3 + 23200*m**2 + 30880*m + 15424.
2*(m + 2)**4*(m + 482)
Factor o**3/2 + 5907*o**2/2 + 8079651*o/2 - 1934466543/2.
(o - 207)*(o + 3057)**2/2
Factor -2*z**2 + 95412*z - 108712768.
-2*(z - 46538)*(z - 1168)
Factor -14*l**2/3 + 110560*l/3 - 42112.
-2*(l - 7896)*(7*l - 8)/3
Let -3*l**3 - 17754*l**2 + 15199608*l + 122731584 = 0. Calculate l.
-6676, -8, 766
What is g in -5*g**2/2 - 13700995*g/2 = 0?
-2740199, 0
Suppose -20*w**5 + 1345*w**4 - 15755*w**3 - 8205*w**2 + 143415*w - 35100 = 0. Calculate w.
-3, 1/4, 3, 15, 52
What is a in -2*a**4/7 + 20710*a**3/7 - 8120184*a**2 + 16467600536*a/7 - 64962266464/7 = 0?
4, 323, 5014
Find z, given that 2*z**3/9 + 121976*z**2/9 - 3134186*z/3 + 9851820 = 0.
-61065, 11, 66
Factor -6*v**2/7 + 16032*v - 11273418/7.
-6*(v - 18603)*(v - 101)/7
Let o**4/7 + 526207*o**3/7 - 3683490*o**2/7 + 4209728*o/7 + 8419424/7 = 0. Calculate o.
-526214, -1, 4
Factor 4*n**2/5 + 4924956*n.
4*n*(n + 6156195)/5
Find h such that -3*h**3/5 - 924*h**2/5 + 187743*h/5 - 186816/5 = 0.
-448, 1, 139
Determine i, given that -2*i**5/3 - 770*i**4/3 - 3932*i**3 + 5660*i**2/3 + 453398*i/3 - 148830 = 0.
-369, -11, 1, 5
Factor l**4/2 - 485*l**3 + 125025*l**2/2 + 26723500*l + 1518005000.
(l - 580)**2*(l + 95)**2/2
Suppose -5*p**4/2 + 1461*p**3/2 - 47539*p**2/2 + 310083*p/2 - 270720 = 0. What is p?
3, 5, 141/5, 256
Determine s so that -s**3/3 - 395*s**2/3 + 5777*s/3 + 6953 = 0.
-409, -3, 17
Find c, given that 2*c**3 + 10418*c**2 + 556630*c - 567050 = 0.
-5155, -55, 1
Find u, given that 4*u**4 - 18552*u**3 + 2342484*u**2 + 51902511968*u + 155685952320 = 0.
-1415, -3, 3028
Suppose 33*w**4 - 8621*w**3/4 + 31884*w**2 - 38721*w/4 - 473/2 = 0. What is w?
-1/44, 1/3, 22, 43
Find g such that -g**3/5 - 291*g**2/5 - 19331*g/5 - 249441/5 = 0.
-201, -73, -17
Factor -4*h**3/7 - 2428352*h**2/7 - 368543697684*h/7 + 3685679816040/7.
-4*(h - 10)*(h + 303549)**2/7
What is q in 2*q**4/3 + 5536*q**3/3 - 230786*q**2/3 - 1258984*q/3 - 516856 = 0?
-2809, -3, -2, 46
Suppose -2*b**5 - 104264*b**4 + 521436*b**3 + 3440888*b**2 - 8029018*b + 4170960 = 0. Calculate b.
-52137, -5, 1, 8
Suppose 2*q**2/7 - 16470*q/7 - 6403608/7 = 0. Calculate q.
-372, 8607
Solve -3*b**5/2 + 13509*b**4/2 - 174693*b**3 + 402627*b**2 + 2712717*b/2 + 1544565/2 = 0.
-1, 5, 23, 4477
Determine n so that 20*n**5 - 17865*n**4 + 338885*n**3 - 2098305*n**2 + 4436675*n - 983250 = 0.
1/4, 5, 9, 874
Find z, given that -5*z**3 + 1507050*z**2 + 3014120*z = 0.
-2, 0, 301412
Find k such that k**4/2 - 751*k**3/2 - 17234*k**2 - 202624*k - 712320 = 0.
-28, -8, 795
Factor -2*j**2/13 + 2568264*j/13 - 2568262/13.
-2*(j - 1284131)*(j - 1)/13
Determine x, given that 4*x**5 + 2428*x**4 - 10663036*x**3 + 21313892*x**2 + 10663032*x - 21316320 = 0.
-1965, -1, 1, 2, 1356
Find s such that -s**3/4 - 1801*s**2/4 - 123060*s = 0.
-1465, -336, 0
Solve 3*o**2/7 - 9350664*o/7 + 7286243103408/7 = 0 for o.
1558444
Factor 3*s**3/5 + 1305*s**2 + 4609521*s/5 + 1046068599/5.
3*(s + 493)*(s + 841)**2/5
Suppose 5*s**2 - 414266060*s + 8580818423396180 = 0. What is s?
41426606
Factor -10*y**2 - 6441476*y - 5186576632322/5.
-2*(5*y + 1610369)**2/5
Find p such that -5*p**4 - 25010*p**3/3 - 4271105*p**2 - 618939720*p + 414527220 = 0.
-711, -246, 2/3
Let -y**4/7 + 2713*y**3/7 - 90855*y**2/7 - 618489*y/7 - 964440/7 = 0. What is y?
-3, 40, 2679
Factor 2*y**2 - 14009564*y + 24533485433762.
2*(y - 3502391)**2
Factor -4*i**2 + 444*i + 348880.
-4*(i - 356)*(i + 245)
What is x in 6*x**5 - 2438*x**4 - 4782310*x**3 + 2498987190*x**2 - 3325071536*x + 830869088 = 0?
-931, 1/3, 1, 668
Suppose 35260*w**3/3 - 493598*w**2/3 + 1727152*w/3 + 686 = 0. What is w?
-21/17630, 7
Solve -3*t**3 - 4887*t**2 + 4587840*t + 7782220800 = 0.
-1440, 1251
Solve -5*b**4 + 20295*b**3 + 305235*b**2 + 1283065*b + 998130 = 0.
-7, -1, 4074
Factor -5*d**3 - 97335*d**2 + 34526625*d - 3034478125.
-5*(d - 175)**2*(d + 19817)
Let -2*x**2/3 + 1162364*x - 506658775686 = 0. Calculate x.
871773
Factor -3*l**3 - 7329*l**2 - 231252*l + 491844.
-3*(l - 2)*(l + 34)*(l + 2411)
Factor -5*n**3 - 3125*n**2 - 330500*n - 9000000.
-5*(n + 45)*(n + 80)*(n + 500)
Factor -v**2/4 + 88187837*v/2 - 7777094594738569/4.
-(v - 88187837)**2/4
Factor -2*t**3 + 1583538*t**2.
-2*t**2*(t - 791769)
Find s, given that -45*s**4 - 14935*s**3 + 634815*s**2 - 6713745*s + 6696550 = 0.
-371, 10/9, 19
Suppose 5*k**4 - 8495*k**3 - 51195*k**2 + 76455 | {
"pile_set_name": "DM Mathematics"
} |
est common divisor of 8228 and 23716?
484
What is the greatest common factor of 4 and 14264?
4
What is the highest common factor of 1020 and 32980?
340
What is the highest common factor of 1633 and 3611?
23
What is the highest common divisor of 1162 and 667818?
166
Calculate the highest common factor of 2450 and 2050.
50
What is the highest common factor of 85428 and 774?
18
Calculate the greatest common factor of 10 and 2864740.
10
Calculate the greatest common factor of 45 and 3110505.
15
Calculate the greatest common factor of 4445 and 240919.
889
Calculate the highest common factor of 63 and 44046.
9
Calculate the greatest common factor of 75252 and 36.
12
Calculate the highest common divisor of 174 and 50866.
58
Calculate the greatest common divisor of 6720234 and 916.
458
What is the highest common divisor of 979 and 51909?
11
Calculate the greatest common divisor of 522 and 1962.
18
What is the greatest common factor of 14066 and 2795?
13
Calculate the greatest common divisor of 240374 and 124.
62
What is the highest common factor of 10687956 and 228?
228
Calculate the greatest common factor of 38566 and 88.
22
What is the highest common divisor of 828 and 3633?
3
What is the highest common divisor of 169985 and 5?
5
Calculate the highest common factor of 990 and 130482.
198
Calculate the greatest common factor of 24682 and 215.
43
What is the highest common divisor of 696 and 1842486?
174
What is the greatest common divisor of 122715 and 505?
505
What is the greatest common divisor of 325 and 2546765?
65
Calculate the greatest common factor of 264920 and 68080.
1480
What is the highest common factor of 2290 and 190?
10
Calculate the greatest common factor of 373 and 183143.
373
Calculate the greatest common divisor of 401636 and 820.
164
What is the greatest common divisor of 136 and 1411?
17
What is the greatest common divisor of 111 and 1183445?
37
Calculate the greatest common divisor of 18 and 1053333.
9
Calculate the highest common divisor of 78 and 55302.
78
What is the highest common factor of 8920 and 99012?
892
Calculate the highest common factor of 255840 and 45.
15
Calculate the highest common factor of 1050 and 9345.
105
Calculate the greatest common factor of 918 and 681.
3
Calculate the highest common factor of 294 and 3300.
6
What is the greatest common factor of 945 and 3285135?
315
Calculate the highest common divisor of 428 and 1127887.
107
What is the highest common divisor of 216275 and 41?
41
What is the highest common factor of 105 and 212835?
105
Calculate the greatest common factor of 4785 and 7755.
165
What is the greatest common divisor of 2265 and 2316?
3
Calculate the greatest common factor of 7569 and 119625.
87
Calculate the greatest common divisor of 57430 and 96.
2
What is the highest common divisor of 82684 and 77?
7
Calculate the greatest common factor of 860 and 370.
10
Calculate the greatest common factor of 1749559 and 1526.
763
What is the greatest common factor of 124 and 2397292?
124
Calculate the highest common divisor of 9746 and 862078.
886
What is the greatest common divisor of 843 and 2644491?
843
Calculate the greatest common divisor of 1594761 and 63.
21
Calculate the highest common divisor of 2690 and 210.
10
Calculate the greatest common divisor of 210 and 1392265.
35
What is the highest common factor of 11099 and 77?
11
Calculate the highest common divisor of 8844 and 77.
11
Calculate the highest common divisor of 3708 and 1336528.
412
Calculate the highest common divisor of 1260685 and 445.
445
Calculate the greatest common factor of 166 and 417739.
83
What is the highest common factor of 3664 and 6183?
229
What is the highest common factor of 219102 and 78?
78
Calculate the greatest common divisor of 6 and 14048.
2
Calculate the greatest common divisor of 367906 and 385.
77
Calculate the highest common divisor of 2356 and 12524.
124
What is the greatest common divisor of 18 and 42888?
6
What is the greatest common divisor of 10490 and 60?
10
Calculate the highest common divisor of 46 and 1367649.
23
Calculate the highest common divisor of 369 and 283843.
41
What is the highest common factor of 70868 and 2128?
28
Calculate the greatest common factor of 102899 and 43.
43
What is the greatest common factor of 423563 and 7?
7
What is the greatest common divisor of 18340 and 924?
28
Calculate the greatest common divisor of 2 and 17247.
1
What is the greatest common factor of 34 and 4426528?
34
Calculate the highest common divisor of 388028 and 48.
4
Calculate the highest common divisor of 41822 and 198.
22
What is the highest common divisor of 83752 and 2494?
58
Calculate the greatest common divisor of 910 and 39494.
182
Calculate the highest common divisor of 410509 and 11.
11
Calculate the greatest common divisor of 38489672 and 13.
13
What is the highest common factor of 27439 and 184?
23
Calculate the greatest common divisor of 696 and 12093.
87
Calculate the highest common factor of 14911 and 8177.
481
What is the greatest common factor of 4045626 and 102?
102
What is the highest common factor of 42 and 75354?
6
Calculate the highest common divisor of 70410 and 555.
15
What is the greatest common factor of 2727 and 299667?
303
What is the greatest common divisor of 69864 and 216?
24
What is the highest common factor of 9498 and 4608?
6
What is the highest common factor of 298 and 2?
2
Calculate the highest common divisor of 122793 and 732.
183
Calculate the greatest common factor of 8 and 24392.
8
What is the greatest common divisor of 7776 and 9882?
162
What is the highest common factor of 80 and 20890?
10
Calculate the highest common factor of 363462 and 132.
66
Calculate the greatest common factor of 33651 and 18.
9
What is the highest common divisor of 212 and 47276?
212
Calculate the greatest common factor of 34 and 1756.
2
What is the highest common divisor of 30336 and 9006?
474
Calculate the highest common divisor of 800 and 253200.
400
Calculate the greatest common divisor of 748839 and 84.
21
Calculate the highest common factor of 6208 and 21631.
97
What is the highest common factor of 6970 and 6630?
170
What is the highest common divisor of 3180 and 25320?
60
Calculate the greatest common factor of 156 and 4531371.
39
Calculate the greatest common divisor of 11866 and 115519.
349
What is the greatest common factor of 400 and 4210?
10
Calculate the highest common divisor of 296 and 236356.
148
Calculate the greatest common divisor of 464132 and 372.
124
Calculate the greatest common factor of 2 and 48302.
2
Calculate the greatest common factor of 5123 and 7739.
109
Calculate the greatest common factor of 11248 and 1026.
38
What is the highest common factor of 1530 and 7339410?
1530
Calculate the greatest common divisor of 7948 and 8.
4
What is the highest common factor of 90 and 4428?
18
Calculate the highest common factor of 678596 and 12.
4
What is the greatest common factor of 54209 and 302?
151
Calculate the highest common factor of 75345 and 45.
15
What is the greatest common factor of 22 and 504053?
11
Calculate the highest common factor of 1859464 and 8.
8
Calculate the greatest common divisor of 220 and 2695.
55
What is the highest common factor of 7968 and 424?
8
What is the highest common divisor of 2475 and 2530?
55
Calculate the greatest common factor of 30099 and 381.
381
Calculate the highest common factor of 4914 and 10374.
546
Calculate the highest common factor of 2398 and 18094.
218
What is the greatest common divisor of 218 and 439706?
218
Calculate the highest common factor of 1749037 and 417.
139
Calculate the greatest common factor of 963 and 24824.
107
What is the highest common divisor of 61607 and 49?
7
Calculate the highest common factor of 66 and 13716.
6
Calculate the greatest common divisor of 1833 and 1989.
39
What is the greatest common divisor of 297 and 117018?
297
Calculate the highest common divisor of 2336 and 288.
32
Calculate the highest common divisor of 31 and 1487287.
31
Calculate the highest common divisor of 120 and 49650.
30
Calculate the highest common divisor of 1013597 and 377.
13
What is the greatest common divisor of 1295 and 9435?
185
What is the greatest common factor of 4888 and 442?
26
What is the highest common divis | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from {v: 3, m: 2, a: 2, q: 2, p: 4}. Give prob of sequence ama.
1/429
Three letters picked without replacement from {o: 12, g: 7}. What is prob of sequence ggg?
35/969
Calculate prob of sequence zcc when three letters picked without replacement from {u: 1, t: 1, g: 1, c: 5, z: 9}.
3/68
What is prob of sequence mvzv when four letters picked without replacement from {z: 3, v: 4, h: 2, m: 6}?
3/455
Two letters picked without replacement from esseswcesessejucjess. What is prob of sequence cw?
1/190
Two letters picked without replacement from {a: 6, p: 4, z: 10}. Give prob of sequence ap.
6/95
Four letters picked without replacement from {k: 1, w: 2, v: 1, o: 1, p: 4}. Give prob of sequence opkp.
1/252
Calculate prob of sequence ggl when three letters picked without replacement from {l: 18, g: 2}.
1/190
What is prob of sequence lquw when four letters picked without replacement from lwuoq?
1/120
Two letters picked without replacement from jljvvji. What is prob of sequence lv?
1/21
Calculate prob of sequence gi when two letters picked without replacement from {e: 1, t: 1, l: 1, w: 2, g: 2, i: 1}.
1/28
Calculate prob of sequence gtmt when four letters picked without replacement from {u: 2, g: 2, t: 5, m: 9}.
1/204
Two letters picked without replacement from {x: 1, q: 1, m: 1, p: 2}. What is prob of sequence qx?
1/20
Calculate prob of sequence sr when two letters picked without replacement from {p: 2, k: 2, r: 1, s: 6, f: 1}.
1/22
Three letters picked without replacement from yjlhy. Give prob of sequence yhl.
1/30
Three letters picked without replacement from {x: 1, i: 2, z: 7, s: 7}. Give prob of sequence ssx.
7/680
What is prob of sequence nn when two letters picked without replacement from {r: 4, n: 10}?
45/91
What is prob of sequence wwma when four letters picked without replacement from {a: 9, m: 3, w: 4}?
27/3640
Two letters picked without replacement from {w: 5, d: 14}. What is prob of sequence dd?
91/171
Four letters picked without replacement from {a: 1, o: 1, h: 3, f: 1, i: 6, q: 1}. What is prob of sequence ihoa?
3/2860
Two letters picked without replacement from {a: 1, w: 1, o: 1, m: 1, i: 1}. Give prob of sequence wo.
1/20
Calculate prob of sequence mb when two letters picked without replacement from {o: 3, m: 5, b: 5}.
25/156
Calculate prob of sequence bx when two letters picked without replacement from {c: 1, s: 1, b: 4, x: 2}.
1/7
What is prob of sequence aua when three letters picked without replacement from auaauuuuuuauauauuu?
5/68
What is prob of sequence jw when two letters picked without replacement from mwjcm?
1/20
Calculate prob of sequence mtmt when four letters picked without replacement from {t: 4, e: 1, s: 2, u: 1, m: 7}.
1/65
Four letters picked without replacement from ddsddbnssbdd. What is prob of sequence ssnb?
1/990
Three letters picked without replacement from {q: 1, o: 1, x: 1, t: 1, j: 3}. Give prob of sequence otj.
1/70
Calculate prob of sequence vvn when three letters picked without replacement from vvnnvnnvvvvvvnvvvv.
65/408
Calculate prob of sequence bz when two letters picked without replacement from {b: 1, z: 1, l: 1}.
1/6
What is prob of sequence nkkk when four letters picked without replacement from {k: 8, n: 5}?
14/143
What is prob of sequence wmwx when four letters picked without replacement from mhxww?
1/60
Three letters picked without replacement from {j: 2, f: 1, a: 2}. What is prob of sequence ajf?
1/15
Four letters picked without replacement from qppppppppqqp. What is prob of sequence qpqq?
1/220
Two letters picked without replacement from rrvvvrrrrvvvrrvr. What is prob of sequence rv?
21/80
What is prob of sequence aw when two letters picked without replacement from faffffapaaffffawa?
3/136
Calculate prob of sequence hhhz when four letters picked without replacement from {z: 2, h: 3}.
1/10
What is prob of sequence iv when two letters picked without replacement from {i: 3, r: 8, v: 5}?
1/16
What is prob of sequence vwm when three letters picked without replacement from vmwvvwmm?
3/56
What is prob of sequence wg when two letters picked without replacement from {o: 1, h: 4, w: 2, g: 8, t: 2, c: 3}?
4/95
Calculate prob of sequence ld when two letters picked without replacement from {f: 4, d: 2, l: 10}.
1/12
Calculate prob of sequence zz when two letters picked without replacement from zjjjjjzzzjzzjjzjjzz.
4/19
What is prob of sequence ara when three letters picked without replacement from qmammrmra?
1/126
Three letters picked without replacement from {c: 14, f: 4}. What is prob of sequence cfc?
91/612
Four letters picked without replacement from jgggjgzbzbgjqqzqgg. Give prob of sequence qzbq.
1/2040
What is prob of sequence uff when three letters picked without replacement from fuffu?
1/5
Calculate prob of sequence ruju when four letters picked without replacement from {b: 2, m: 2, g: 1, r: 2, j: 1, u: 12}.
11/4845
Two letters picked without replacement from {k: 2, f: 1, l: 4, u: 4, n: 3, o: 1}. What is prob of sequence no?
1/70
Three letters picked without replacement from vovllllvbovhllool. Give prob of sequence hvv.
1/340
Two letters picked without replacement from ktvpakkpvtktat. What is prob of sequence av?
2/91
Four letters picked without replacement from cfccfcfccfcfffccfccf. Give prob of sequence fccc.
99/1292
Three letters picked without replacement from {h: 1, p: 7}. What is prob of sequence pph?
1/8
Calculate prob of sequence gg when two letters picked without replacement from tttngtgntgtnnnnnttt.
1/57
What is prob of sequence sj when two letters picked without replacement from {j: 5, s: 2, m: 2, w: 4}?
5/78
Calculate prob of sequence ooo when three letters picked without replacement from {o: 10}.
1
What is prob of sequence pi when two letters picked without replacement from {i: 3, p: 5}?
15/56
Two letters picked without replacement from atafttfxxaa. What is prob of sequence ax?
4/55
Calculate prob of sequence cv when two letters picked without replacement from vvciciciicwvwwwiiic.
5/114
Two letters picked without replacement from {g: 7, o: 1, c: 4, t: 3, e: 3}. What is prob of sequence to?
1/102
Three letters picked without replacement from lgfqglwlwwngww. What is prob of sequence gfn?
1/728
Three letters picked without replacement from {g: 3, o: 7, v: 2, l: 3}. Give prob of sequence vov.
1/195
Four letters picked without replacement from {w: 2, g: 2, a: 5}. Give prob of sequence gaag.
5/378
Calculate prob of sequence uiam when four letters picked without replacement from ijumujuuiuiajiji.
5/8736
What is prob of sequence uum when three letters picked without replacement from {u: 15, m: 4}?
140/969
Three letters picked without replacement from {s: 1, c: 2, b: 4}. What is prob of sequence scc?
1/105
Three letters picked without replacement from {j: 7, t: 1, z: 3, c: 1, x: 1}. What is prob of sequence cjj?
7/286
What is prob of sequence lmfa when four letters picked without replacement from lamfrla?
1/210
Four letters picked without replacement from {g: 3, s: 9, x: 1, f: 6}. Give prob of sequence ggsg.
3/5168
Three letters picked without replacement from {h: 2, v: 1, t: 2, m: 4, w: 1, y: 2}. Give prob of sequence myh.
2/165
What is prob of sequence wf when two letters picked without replacement from {f: 9, w: 2}?
9/55
Four letters picked without replacement from uoouppuuupupu. Give prob of sequence uuou.
7/286
Two letters picked without replacement from {u: 1, d: 3, e: 6, i: 5}. Give prob of sequence ue.
1/35
What is prob of sequence my when two letters picked without replacement from yymwyyymmyyyymmym?
15/68
What is prob of sequence sxsx when four letters picked without replacement from {x: 10, s: 4}?
45/1001
Three letters picked without replacement from {k: 17, v: 1}. Give prob of sequence kkv.
1/18
Two letters picked without replacement from {q: 1, i: 1, t: 1}. Give prob of sequence it.
1/6
Two letters picked without replacement from rirtriairjriiri. What is prob of sequence ti?
1/35
Two letters picked without replacement from xxxxxixxxxxxx. What is prob of sequence xi?
1/13
What is prob of sequence dgi when three letters picked without replacement from ricggryyrrdrcgggrgr?
1/969
Three letters picked without replacement from {h: 1, p: 6, c: 3, v: 7}. What is | {
"pile_set_name": "DM Mathematics"
} |
(-4)/k**(2/19))**(-31) assuming k is positive.
k**(405977/3192)
Simplify (((f**4*f/f**(3/8))/(f**(-6)*f*f*f**(2/29)))**(-29))**(34/5) assuming f is positive.
f**(-6749/4)
Simplify (y*y**9*y*y/y**4)**(-16)/(y**(-8)/(y/y**(7/6)))**(-17) assuming y is positive.
y**(-1567/6)
Simplify (((s*s/(s/((s**(-3/2)*s)/s))*s/s**(-17))**(-33))**(2/49))**(2/15) assuming s is positive.
s**(-22/7)
Simplify (((q**(-1)*q)/q**2)/(q**(-1/2)/(q/q**(4/5))))/((q/(q*q**(-4/5)*q)*q)/(q/(q*q**(-7)))*(q/(q*q**5)*q)/((q**(1/2)*q*q)/q)) assuming q is positive.
q**(52/5)
Simplify (v**12*v**(-1/5)*v)**(-41)*((v*v**(-2/9)*v)/(v/v**(-2/17)))**28 assuming v is positive.
v**(-387332/765)
Simplify (l/(l*l*l**(1/2)))**2/((l/l**6)/l**(1/2))*((l**(2/5)*l)**38)**46 assuming l is positive.
l**(24497/10)
Simplify (x*x**(-5)*x**4)**(5/3)*x/(x*x**(-6))*x/(x**(-1/5)/x)*(x*x/(x/x**1)*x)**6 assuming x is positive.
x**(131/5)
Simplify ((q*q*q**16)/(q**3/q))/(((q*(q**(2/13)*q)/q)/q)/((q/(q/q**(-8)))/q)) assuming q is positive.
q**(89/13)
Simplify ((p**(-1/6))**(-7)/(p**(2/29)*p/(p/p**(-2/37))))**(-3) assuming p is positive.
p**(-7415/2146)
Simplify (f**(-1))**48*(f*f*f/f**(-1/2)*f*f)/(f*f**(-1)*f*f)*(f*f/(f/(f**0*f)))**(-48)/(f**(-1/3))**27 assuming f is positive.
f**(-263/2)
Simplify (h**(1/3))**(1/30)*h**(-2/7)/h*h**1*(h/(h/(h*h/(h**(-2/7)/h)*h))*h*h**(3/5)*h*h)/(h**(-1/5)*h/(h*h/h**(-5))) assuming h is positive.
h**(1243/90)
Simplify ((q**7*q*q**5/q*q*(q*q/(q/((q*q*q/(q/q**(-8)))/q)))/(((q*q**(-3)*q)/q)/q))**(-8/3))**36 assuming q is positive.
q**(-960)
Simplify (((k**(1/2)*k)**22/(k**(-6)*k**(4/7)))**(3/5))**(-2/77) assuming k is positive.
k**(-1614/2695)
Simplify (o**2*o**(-13)*o/(o**19*o)*(o/o**(3/29))/o)**(15/2) assuming o is positive.
o**(-13095/58)
Simplify n**6/n**(-9)*(n**(-2/3))**33*(n**(-6)/n**(1/10))/(n**5/(n/(n/(((n**(2/21)*n)/n)/n)))) assuming n is positive.
n**(-3991/210)
Simplify (((u**(2/7))**(-10)/(u**2*(u*u**(-6))/u))**26)**(-26) assuming u is positive.
u**(-5408/7)
Simplify ((d/d**(-1))**(-2/15)/((d*d**(1/2))/d*d/d**0))**(2/119) assuming d is positive.
d**(-53/1785)
Simplify q**(1/5)/(q/q**(-1/7))*q**3*q**(-8)*((q*q/(q*q**0))/(q/q**(1/3)*q))/(q**(1/4)*(q/q**(2/15))/q) assuming q is positive.
q**(-565/84)
Simplify ((i/((i/(i*i**(-8)/i*i))/i)*i/(i*i**(-6)))/(i**0)**(-3))/((i**(1/2))**(-11)*(i*i/(i*i*i**(-6)/i*i)*i*i)/i**(-1/9)) assuming i is positive.
i**(-47/18)
Simplify (w**(-1)/w**17*w**12/(w/((((w/w**(6/17))/w)/w*w)/w)*w))**5 assuming w is positive.
w**(-795/17)
Simplify (w/w**(-5))**8/(w**(-43))**19 assuming w is positive.
w**865
Simplify (t/(t/((t/(t*t**26/t)*t*t)/t))*t*t*t*t*t**(-6/11)*t*(t*t*t*t**(-4))**(-18))**(-6/37) assuming t is positive.
t**(102/407)
Simplify ((v**(-4)*v)/v*v*v**(-2/17))**(3/26)*(v**(-2/5))**26/(v**3/(v**(1/6)*v)) assuming v is positive.
v**(-41746/3315)
Simplify ((j**(2/83)*j*j**9)/(j*j**(3/22)*j)**10)**(-18) assuming j is positive.
j**(186354/913)
Simplify (o**(1/19))**42/(o**(16/3))**(-33) assuming o is positive.
o**(3386/19)
Simplify (r**(5/7))**(-16)*(r**(-2/29))**37 assuming r is positive.
r**(-2838/203)
Simplify (z**(-4)*z*z**(-13)*z)**(-28)*(z**2*z)**(-42)*z**(-1/7)/z*z**7*z assuming z is positive.
z**(2106/7)
Simplify (t/(t**(-4/5)*t*t*t*t)*t/(t**(2/7)*t*t*t)*t*(t/(t/(t*t*t**5)))/(t/t**3))/(t**(2/5)/(t**4/t))**30 assuming t is positive.
t**(2923/35)
Simplify (((d/(d/d**(-7)))/(d*d**(-2)))/(d**(-1/4))**(-1/11))/((d**(-8)*d*d)/(d*((d/d**(1/12))/d)/d*d))**(-10/3) assuming d is positive.
d**(-11515/396)
Simplify (((z/z**(-5))/z**(1/5))/(z/z**(-1))**(-4/7))/(((z*z**6)/z**(-4))/(z**(-6)/z**(1/5))) assuming z is positive.
z**(-359/35)
Simplify ((m**(1/5)/m*m)/(m/(m/(m/(m*(m**(-2/43)*m)/m))))*(m/m**(-5)*m)**(-4/31))**(-21) assuming m is positive.
m**(104937/6665)
Simplify (g/(g/g**(-1/4)))**(-5/19)*(g*g/(g**0*g)*g*g)**19*g**(-5)/(g/(g/(g/(g**(-3/4)*g))*g*g))*(g*g*g/(g*g**(-2/3)/g)*g*g)**(-1) assuming g is positive.
g**(2716/57)
Simplify ((o/o**(-6/13)*o**11*(o**(4/5))**(-1/28))**(8/5))**(-40) assuming o is positive.
o**(-362048/455)
Simplify (((u*u**10*u*u)/u)**14/(u**8/u)**29)**34 assuming u is positive.
u**(-1190)
Simplify (j**0/j)**27*((j*j**(1/4)*j)/j)**(-3/34)*(((j**(-2)/j*j*j)/j)/j*j*j/j**(-10))**(-39) assuming j is positive.
j**(-51423/136)
Simplify y**(5/4)/y**(1/2)*y**6/y**(22/7) assuming y is positive.
y**(101/28)
Simplify (t/t**(-1/4))**(-2)*t**0*t**(2/11)*(t**0/t*t)**46/(t**(2/7)*t*t*t/(t*t*(t/(t*t*t**(1/4)))/t)*t) assuming t is positive.
t**(-2111/308)
Simplify (c**(-2/13)*c**2*(c/c**9)/(c*c*((c*c**(-7))/c)/c))/((c/(c*c**0))**30*c/((c/((c*c**8)/c*c*c))/c)*c/(c/(c*c**(3/4))*c*c)) assuming c is positive.
c**(-567/52)
Simplify (((z**(1/4))**(-10/17)/((z*z*(z/(z*z**(-2/11)/z))/z)/(z/z**(-5/7))))**(-13/5))**(2/65) assuming z is positive.
z**(1609/32725)
Simplify ((o**8/(o**(3/11)*o))/(o/(o/(o**1*o)*o))**(-22))/((o**(-3/10)*o*o**4)/(o**(2/3))**(-27)) assuming o is positive.
o**(663/110)
Simplify (((u/u**(2/41))/(u**(-13)*u*u))/(u**(6/13)/u**(1/26)))**20 assuming u is positive.
u**(122890/533)
Simplify (h**(1/4)*h*h*h**2*h*h*h**(2/7)*h/(h/h**0))/((((h/(h/h**(-1/3)))/h*h)/h)**(-11)*h/h**2*h**(-1)) assuming h is positive.
h**(-515/84)
Simplify ((j**(2/11))**5)**37/((j*(j/(j/j**2)*j)/j*j)**(2/55)/((j/(j*j**(-7)))/j**6)) assuming j is positive.
j**(1897/55)
Simplify (k*k**4*k/k**(-2/9))**(-3/17)/((k/(k**(-2/9)/k))/k**(6/5)*(k*k**(-1/4))/(k*k*(((k**(-1/3)*k)/k)/k)/k)) assuming k is positive.
k**(-9803/3060)
Simplify (((((d**(2/15)*d)/d)**(18/7))**31)**(-49))**(2/121) assuming d is positive.
d**(-5208/605)
Simplify ((l**0)**(-4/31)*l**2/((l*(l/(l/(l**(2/3)*l)))/l*l*l)/l))/((l**(1/3)*l)**41*(l**(-2/7))**23) assuming l is positive.
l**(-1024/21)
Simplify (((m**1*m)/m*m)/(m*m**(-5/6))*m**(-3)/(m/(m**(-4)/m*m*m)*m*m))/(((m*m/(m*(m**12/m)/m*m))/m)/(m/(m**(-4)/m)*m))**(-8/13) assuming m is positive.
m**(-1423/78)
Simplify (((q**0/q**(-5/2))**(-12/5))**5)**(-45/2) assuming q is positive.
q**675
Simplify (p**(-1))**22*(p**2)**(-6/7)*p**4*p*p*p**(-2/9)*p*(p**3*p)/(p*p*p**(2/7)*p) assuming p is positive.
p**(-146/9)
Simplify ((c**(-1/3)*c*c*c)**(-27/4)/(c*(c**(-1)*c)/c)**(-8/7))/((c*c*c**(-1/4)/c*c*c**(-1/7))/(c/(c/(c/(c/(c**6*c)*c)*c))*c**5)) assuming c is positive.
c**(-213/28)
Simplify (f**6/f**3*f/(f**(-2/3)/f*f)*f*f*(f/f**(-1/5)*f)/f*f)/((f**(-1))**(-2/37))**(-19) assuming f is positive.
f**(5491/555)
Simplify (m**(-4/11)/m**9*m**(-3/5)/m**(-1/2))**(-37) assuming m is positive.
m**(38517/110)
Simplify ((y*y*y**(1/2)*y)**(-5))**(34/9)*(y**0)**(1/28)*(y*y/(y/((y*y/(y/(y*y/(y**(-1/4)*y*y*y))))/y)*y))**34 assuming y is positive.
y**(-1649/18)
Simplify (s**(-1))**(-4)/(s**(-1))**41*s*s*s*s**0*s/(s**(-5)/s)*(s**(1/3)*s)**(-35) assuming s is positive.
s**(25/3)
Simplify ((h*h**(-5/12))/h**20)/(h**(3/25)/((h**(-37)*h)/h)) assuming h is positive.
h**(-16961/300)
Simplify ((w*w**(-45)*w)/(w*(w*(w/(w**(-2/63)*w))/w)/w))/(w**(-3/8))**(-38) assuming w is positive.
w**(-14435/252)
Simplify ((u**0*u)/u)/u**5*u*u**4*u*u**5*((u**(-1))**(-23))**(-18) assuming u is positive.
u**(-408)
Simplify i/(i/((i*i/(i*i/(i**38/i)*i)*i)/i))*i/i**(-13/5)*i/i**(31/4)*i*i*i**(13/2)*i*i assuming i is positive.
i**(867/20)
Simplify ((j/(j/(j*j*j**(-14)*j*j*j)))**(-32)/(j**(-3/7)/j)**(-7/3))**(1/39) assuming j is positive.
j**(854/117)
Simplify (x**(1/7)*x**(2/3)*x*x**1*x*x**(-6)*x)/((x*x**(-1)*x*x)**(-1/3)*(x/(((x/(x*x**1*x*x))/x)/x*x))/(x/((x*x**5/x*x)/x))) assuming x is positive.
x**(-200/21)
Simplify ((h**(1/5))**(-16/5)/(h**(-2)*h*h)**(-26))/(h**(-3/5)/(h*h**(-1/11))*(((h*(h*h**7)/h)/h)/h)/((h**(2/19)*h)/h)) assuming h is positive.
h**(-26259/5225)
Simplify ((c*c*c/(c*c*c/(c/(c/(c**0*c)))))**(-1/3))**(-31)*c**0*c*c**(-2/13)*c**0*c*c*c/c**(-1/2) assuming c is positive.
c**(1145/78)
Simplify (i**(2/5))**(-2/7)/(i**(-3/2)*i*i/(i/(i**1/i))*i)*(i**(2/5))**(-10/17)*(i/(i*i**4/i*i*i))/i*i**(4/9)*i assuming i is positive.
i**(-57889/10710)
Simplify ((w*w*w*w/((w/w**(-1))/w)*w)**(-13))**(8/9)*w**1*w**(-2)/w*(w/w**(-1/2))**39 assuming w is positive.
w**(185/18)
Simplify ((f/(f*f*f*f**(-16))*f*f/(((f*(f*(f*f**(-4))/f)/f)/f*f*f)/f))/(f**(1/7)/(f*f**(-38))))**11 assuming f is positive.
f**(-1397/7)
Simplify ((a/a**(-10)*a*a)**(-1/15)*a**(-2/9)*((a**22*a*a)/a)/a)**(25/4) assuming a is posi | {
"pile_set_name": "DM Mathematics"
} |
240. Let t be m(12). Let b(i) be the third derivative of 10*i**2 + 0*i + 1/120*i**5 + 0 + t*i**3 + 0*i**4. Determine j, given that b(j) = 0.
0
Let f(o) = -14*o**5 - 6*o**4 + 19*o**3 + o**2 - 5*o. Let a(p) = -21*p**5 - 8*p**4 + 28*p**3 + p**2 - 7*p. Let x(s) = 5*a(s) - 7*f(s). Find r such that x(r) = 0.
-1, 0, 2/7, 1
Factor h**2 - 13*h - 5*h + 3*h**2 - 96 + 110*h.
4*(h - 1)*(h + 24)
Let a(x) be the first derivative of x**8/9240 - x**6/660 + x**5/330 + x**3/3 + 13. Let w(g) be the third derivative of a(g). Determine j, given that w(j) = 0.
-2, 0, 1
Let k(a) = -36*a**2 + 63*a - 27. Let x(c) = -5*c**2 + 9*c - 4. Suppose -4 = -5*y + 3*u, 4 = -2*y + 2*u + 2*u. Let t(q) = y*k(q) - 15*x(q). Factor t(w).
3*(w - 2)*(w - 1)
Let y = 2/5331 - -18954/1777. Factor 2/3*x**2 - 16/3*x + y.
2*(x - 4)**2/3
Let s(n) be the first derivative of 6*n**5/25 + 47*n**4/10 + 72*n**3/5 + 52*n**2/5 + 421. Suppose s(x) = 0. What is x?
-13, -2, -2/3, 0
Let r(t) be the third derivative of 0 - 1/18*t**4 + 5/9*t**3 + 0*t + 1/450*t**5 + 37*t**2. Determine h so that r(h) = 0.
5
Let 9468*w**2 + w - 9467*w**2 - 3*w**4 + w - 4*w**3 = 0. What is w?
-1, 0, 2/3
Let a be -8*(75/10 - 0). Let m be (a/35)/6 - (-2)/1. Factor 2/7*l**2 + 18/7 + m*l.
2*(l + 3)**2/7
Suppose 0 = 3*j - 1 - 8. Let o(w) be the first derivative of j + 0*w**4 + 0*w - 1/4*w**3 + 0*w**2 + 3/20*w**5. Factor o(g).
3*g**2*(g - 1)*(g + 1)/4
Solve -5*z**5 - 23557*z + 16 + 23545*z - 16*z**2 + 4*z**5 + 13*z**3 = 0.
-4, -1, 1, 2
Factor 21/2*z**2 + 15/2*z - 3.
3*(z + 1)*(7*z - 2)/2
Let l be (-651)/(-9) + (-1)/3*1. Let s = 72 - l. Factor -2/5*o**4 - 2/5*o + s - 6/5*o**3 - 6/5*o**2.
-2*o*(o + 1)**3/5
Let i = 12505/9 - 1389. Let i + 8/9*h**2 + 4/3*h = 0. Calculate h.
-1, -1/2
Let d(j) = j**4 + j**3 + j**2 + 2*j + 2. Let w(m) = m**5 - 2*m**4 - 3*m**3 + 6*m**2 + 12*m + 12. Let r(n) = 6*d(n) - w(n). Determine i, given that r(i) = 0.
-1, 0, 9
Let m be 10/15 + (-39)/(-9). Let s be 0 - (0 - 2) - (m + -3). Factor j + s - 1/2*j**2.
-j*(j - 2)/2
Suppose 0 = 50*a + 11 - 161. Let i(f) be the first derivative of -12/7*f - 1/7*f**a - 11 + 6/7*f**2. Factor i(k).
-3*(k - 2)**2/7
Let z(k) be the third derivative of k**8/2352 - k**6/280 + k**5/210 + 87*k**2. Let z(o) = 0. What is o?
-2, 0, 1
Let b be (-12 - -10)/((-4)/2). Let f(w) = -4 + 3*w**2 + 3*w - w**2 - 9*w - b. Let z(v) = 2*v**2 - 6*v - 4. Let j(l) = -4*f(l) + 5*z(l). What is r in j(r) = 0?
0, 3
Let o be 2*-1 + 1/(120/1086). Let b = o + -25/4. Suppose -4*f - 8/5 - b*f**3 - 16/5*f**2 = 0. Calculate f.
-2, -1
Let d(o) be the first derivative of o**6/30 + o**5/25 - o**4/4 - o**3/15 + 4*o**2/5 - 4*o/5 - 61. Factor d(g).
(g - 1)**3*(g + 2)**2/5
Let d(i) be the second derivative of -i**6/10 + 27*i**5/20 - 23*i**4/4 + 3*i**3/2 + 54*i**2 - 141*i. Factor d(n).
-3*(n - 4)*(n - 3)**2*(n + 1)
What is t in 3 + 33/4*t**2 + 3/4*t**5 - 9*t - 9/4*t**4 - 3/4*t**3 = 0?
-2, 1, 2
Suppose a - 5*m - 629 = 0, 4*m + 1942 = a + 2*a. Factor -5*f - 654*f**2 + 5*f**3 + a*f**2.
5*f*(f - 1)*(f + 1)
Suppose -5*b + 3*u = 2*u + 2, -4*u + 8 = 3*b. Let m be b + (2 - (5 + -5)). Solve -2/7*f**3 + 0*f + 0 - 4/7*f**m = 0.
-2, 0
Let v = -31 - -34. What is c in 2*c**4 - 3*c - 2*c**v + 2*c**5 + 3*c + 15*c**2 - 17*c**2 = 0?
-1, 0, 1
Let z(q) be the first derivative of -1/5*q**5 + 0*q - 4 + 0*q**3 + 3/4*q**4 - 2*q**2. Suppose z(p) = 0. Calculate p.
-1, 0, 2
Let l(k) be the third derivative of -k**8/10080 + k**7/2520 - k**5/360 + k**4/144 + 3*k**3/2 + 7*k**2. Let y(w) be the first derivative of l(w). Factor y(a).
-(a - 1)**3*(a + 1)/6
Solve -60*g**3 + g**4 + 32*g**3 - 7*g**2 + 27*g**3 + 5*g**2 = 0.
-1, 0, 2
Let v(m) be the third derivative of m**6/24 + 65*m**5/6 + 21125*m**4/24 + 552*m**2. What is g in v(g) = 0?
-65, 0
Let s(x) = 2*x**2 + 26*x - 134. Let i be s(-17). Factor 7/4*k - 2 + 1/4*k**i.
(k - 1)*(k + 8)/4
Let c(m) = m**4 + 3*m**2 - 1. Let k(h) = 8*h**4 - 24*h**3 - 708*h**2 - 2592*h - 4. Let d(p) = 4*c(p) - k(p). Factor d(j).
-4*j*(j - 18)*(j + 6)**2
Let l(h) = 60*h**2 + 65*h + 29. Let s(u) = 300*u**2 + 324*u + 152. Let b(y) = -16*l(y) + 3*s(y). Determine t, given that b(t) = 0.
-1, -2/15
Let f = 2/795 - -3496/795. Factor 16/3*t**2 + f*t + 6/5 + 32/15*t**3.
2*(t + 1)*(4*t + 3)**2/15
Suppose 6*p = 8*p. Let t be 4/4*(1 + p). Let i(n) = -n**3 + n. Let q(w) = 2*w**4 + 6*w**3 + 6*w**2 - 2. Let h(m) = t*i(m) - q(m). Find d, given that h(d) = 0.
-2, -1, 1/2
Let a(c) = c - 1. Let h be a(3). Suppose h*q - 2*q = 8*q. Let -1/2*p + 1/2*p**4 - 3/2*p**3 + 3/2*p**2 + q = 0. What is p?
0, 1
Let j(k) = 2*k**3 - 167*k**2 + 73*k + 830. Let p be j(83). Factor 13/2*n + 1/2*n**2 + p.
n*(n + 13)/2
Let t(q) = -q**2 + 72*q - 894. Let w be t(16). Factor -2/23*v**3 + 2/23*v - 6/23 + 6/23*v**w.
-2*(v - 3)*(v - 1)*(v + 1)/23
Suppose 3*w - 38 + 26 = 0. Factor -8*f**4 + 14*f**w + 6*f - 4*f**2 - 2 - 4*f**3 + 0*f**2 - 2*f**5.
-2*(f - 1)**4*(f + 1)
Suppose -3*i = n - 5, 792*i - 795*i + 7 = 2*n. Find v such that 0 - 2/7*v**3 - 12/7*v - 10/7*v**n = 0.
-3, -2, 0
Let d be 21/(-6) - -1 - 221/(-78). Let b(z) be the first derivative of -d*z**2 + 4/9*z + 2/27*z**3 + 1. Factor b(x).
2*(x - 2)*(x - 1)/9
Let h(c) be the first derivative of -c**4/20 - 22*c**3/15 - 41*c**2/10 - 4*c - 33. Factor h(t).
-(t + 1)**2*(t + 20)/5
Factor -2/3*p**2 - 14/3*p + 0.
-2*p*(p + 7)/3
Let a be (-18 - -16) + 3 + 1. Determine k, given that -10*k**4 + 22*k**5 + 25*k + 3*k**5 - 20*k**a - 90*k**3 - 2*k + 30 + 42*k = 0.
-1, -3/5, 1, 2
Let v(c) be the third derivative of c**5/120 - 23*c**4/12 + 529*c**3/3 - 102*c**2. Determine k, given that v(k) = 0.
46
Let v(w) = -2*w**2 + 87*w - 40. Let h be v(43). Factor 0*m**2 + 6*m + 0 - 3/2*m**h.
-3*m*(m - 2)*(m + 2)/2
Let k(f) be the third derivative of 0*f**6 + 0 + 1/30*f**3 + 0*f + 1/1050*f**7 - 1/150*f**5 + 0*f**4 + f**2. Find n, given that k(n) = 0.
-1, 1
Let m be (-1)/((-30)/275) - 9. Factor 1/6*w**4 + 2/3*w + m + 2/3*w**3 + w**2.
(w + 1)**4/6
Let a = -14562946 - -30116173843/2068. Let h = a + -1/188. Determine j so that 0 - 40/11*j**4 + h*j + 10/11*j**3 - 18/11*j**5 + 40/11*j**2 = 0.
-2, -1, -2/9, 0, 1
Suppose -g + 27*g - 8*g - 36 = 0. What is c in 0 + 12/11*c**3 - 6/11*c + 6/11*c**g = 0?
-1, 0, 1/2
Let p be (-2)/(6/(-3)) + -4. Let z be ((-3)/12)/(p/24). Solve 5*f**z + 20*f**2 - 4*f**2 + 4 - 22*f - 3*f**2 = 0.
2/9, 1
Let r be 815/(-90)*-3 - -5. Let t = r - 32. Factor -1/6 + 1/6*q**2 + 1/6*q**3 - t*q.
(q - 1)*(q + 1)**2/6
Suppose -2*x = -4*s - 2 + 16, 5*s = 5*x + 15. Let n(b) be the second derivative of -2/21*b**3 + 0*b**2 + 0 - 2*b + 1/42*b**s. Factor n(q).
2*q*(q - 2)/7
Suppose 0 = 5*k + 11*k - 80. Let b(f) be the first derivative of k + 12*f**2 + 4*f**3 + 1/2*f**4 + 16*f. Solve b(s) = 0 for s.
-2
Suppose -a + 3*a - 5*l + 38 = 0, 4*l = -2*a - 2. Let j be (6/a)/((-1)/3) - -1. Let 0*w**2 + 1/3*w - 1/3*w**j + 0 = 0. What is w?
-1, 0, 1
Factor -d**2 + 4520 - 9019 + 3*d + 4517.
-(d - 6)*(d + 3)
Let i be (35/7 - 4)*5. Let j(l) be the second derivative of 2/3*l**4 - 1/15*l**6 - 4*l - 1/15*l**i + 8/9*l**3 + 0 + 0*l**2. Suppose j(x) = 0. Calculate x.
-2, -2/3, 0, 2
Suppose 2*i = 6*i + 16. Let w(f) = f + 8. Let q be w(i). Factor 2*p + 16*p**3 + 6*p**2 + 6*p**3 - q*p**3 - 18*p**2.
2*p*(3*p - 1)**2
Find a, given that -41*a**4 - 2304*a - 3*a**5 - 488 - 735*a**3 + 3*a**4 - 46*a**4 - 2094*a**2 - 459 + 83 = 0.
-12, -2, -1
Let j(c) = -2*c**2 - 17*c - 17. Suppose -4*a + 2 = -2*x, 2*x + 5*a = -0*x - 29. Let q be j(x). Factor -19*y**3 - 1 - 13/2*y - 16*y**2 - 5/2*y**5 - 11*y**q.
-(y + 1)**4*(5*y + 2)/2
Let r(c) be the second derivative of 1/60*c**4 + 11*c + 1/30*c**3 - 1/100*c**5 + 0 - 1/10*c**2. Let r(a) = 0. What is a?
-1, 1
Let k be 3 + (1 - (-8)/(-4)). Let f be 14/4 + k/4. Let -11*l**3 + l**2 + l**4 + 9*l**3 + f*l**3 = 0. What is l?
-1, 0
Let f(r) = -167*r + 4681. Let g be f(28). Factor 0 - 8/7*d**2 - 8/7*d**4 + 2/7*d**g + 2/7*d + 12/7*d**3.
2*d*(d - 1)**4/7
Let n(p) = p**3 + 4*p**2 - 7*p - 6. Let h be n(-5). Let l be 23/h + 3/12. Let -4*k**2 - 2 + 8*k - 8*k**3 + l*k**4 + 4*k**2 - 4*k**2 = 0. Calculate k.
-1, 1/3, 1
Let j(g) = 6*g**2 + 30*g + 24. Let x(c) = -2*c**2 - 10*c - 8. Let w = 87 - 95. Let f(r) = w*x(r) - 3*j(r). Solve f(v) = 0 for v.
-4, -1
Let x(a) be the third derivative of a**5/210 - a**4/28 + 2*a**3/21 + 39*a**2 - 3*a. Factor x(v).
2*(v - 2)*(v - 1) | {
"pile_set_name": "DM Mathematics"
} |
?
79480440
What is the common denominator of -107/526820 and -9/17437?
24760540
What is the lowest common multiple of 1872 and 325224?
8455824
What is the least common multiple of 8998 and 3495723?
6991446
What is the common denominator of -91/421025016 and 45/42383?
4631275176
What is the common denominator of -67/6 and -71/48847542?
48847542
What is the least common multiple of 19310 and 29764434?
148822170
Find the common denominator of -31/8269712 and 31/1447952.
3580785296
Calculate the smallest common multiple of 916678 and 22358.
916678
Find the common denominator of -151/10821276 and -29/378.
75748932
What is the smallest common multiple of 29934 and 89802?
89802
What is the smallest common multiple of 45337 and 725392?
725392
What is the common denominator of -29/146575440 and 157/190080?
1172603520
Calculate the lowest common multiple of 194199460 and 8.
388398920
What is the least common multiple of 97798 and 8560?
3911920
Find the common denominator of -1/42089382 and -79/10404.
84178764
Calculate the smallest common multiple of 20032 and 147164.
736997312
Calculate the smallest common multiple of 55965 and 591370.
509169570
Calculate the common denominator of 63/190 and 99/412850.
7844150
What is the common denominator of 97/308 and 37/55426168?
609687848
What is the lowest common multiple of 60698 and 333839?
667678
What is the least common multiple of 3534084 and 18?
3534084
Find the common denominator of 79/12 and -99/3551242.
21307452
What is the smallest common multiple of 35232 and 18816?
6905472
Calculate the common denominator of -11/9802968 and -1/5313.
107832648
Find the common denominator of 57/95050594 and 30.
95050594
Calculate the smallest common multiple of 478566 and 6844944.
225883152
What is the common denominator of 69/318195845 and -1/57853790?
636391690
Calculate the lowest common multiple of 34915365 and 7.
244407555
Calculate the common denominator of -77/12 and 137/26016936.
26016936
Find the common denominator of -29/73680 and -105/1768.
16283280
Find the common denominator of -63/9401782 and -127/86996.
131624948
What is the common denominator of -3/5656 and -45/26824?
2709224
Calculate the common denominator of -26/5805 and 33/1601621.
216218835
What is the least common multiple of 3017456 and 1612?
93541136
Calculate the smallest common multiple of 240 and 1880010.
15040080
Calculate the least common multiple of 55 and 17688.
88440
What is the lowest common multiple of 53499 and 481491?
481491
What is the least common multiple of 17028 and 25542?
51084
Calculate the least common multiple of 18898 and 336728.
3704008
What is the common denominator of 5/6190662 and -121/96?
99050592
Find the common denominator of 23/52224 and 143/443904.
887808
What is the smallest common multiple of 20304 and 98316?
55450224
What is the common denominator of 10/36697131 and -4/109269?
697245489
What is the common denominator of 29/470220 and 39/2203580?
112382580
What is the least common multiple of 16348485 and 3269697?
16348485
Calculate the least common multiple of 180615 and 1685740.
5057220
What is the common denominator of 131/525060 and 119/396?
5775660
Calculate the common denominator of 157/83292 and 99/1259476.
41562708
Calculate the least common multiple of 4340293 and 8680586.
8680586
Find the common denominator of -93/84880 and -109/4900.
20795600
Calculate the least common multiple of 793368 and 2909016.
8727048
What is the smallest common multiple of 15338546 and 22?
168724006
What is the smallest common multiple of 24 and 6248736?
6248736
Calculate the smallest common multiple of 3697028 and 1848514.
3697028
What is the least common multiple of 171 and 1899288?
36086472
What is the least common multiple of 15432 and 44181816?
44181816
Find the common denominator of 67/13020 and -41/2580.
559860
What is the least common multiple of 16940 and 115954300?
115954300
What is the lowest common multiple of 413080 and 37590280?
37590280
What is the common denominator of 41/3912 and -155/609294?
2437176
What is the lowest common multiple of 33 and 2655243?
29207673
What is the lowest common multiple of 1217395 and 14?
17043530
What is the smallest common multiple of 3013647 and 184509?
9040941
Find the common denominator of 67/23536252 and -69/2.
23536252
What is the least common multiple of 25854 and 2027214?
281782746
Find the common denominator of -113/138866 and 83/1755.
18746910
Calculate the common denominator of -97/19888 and -39/80144.
99618992
What is the least common multiple of 29710 and 399090?
1185696390
What is the common denominator of 151/120 and 59/9176430?
36705720
What is the common denominator of 25/852 and -35/1537912?
327575256
What is the common denominator of 79/19187970 and 79/66?
211067670
Calculate the common denominator of 75/722 and 123/829700.
299521700
Calculate the least common multiple of 2724628 and 15666611.
62666444
Calculate the common denominator of 25/399098 and -93/55048.
1596392
Calculate the smallest common multiple of 64988 and 14037408.
14037408
Find the common denominator of -115/69594 and -33/33140.
695940
Calculate the least common multiple of 24927 and 18761722.
56285166
What is the smallest common multiple of 397676 and 600?
59651400
Calculate the common denominator of -139/330672 and -65/4648.
2314704
Find the common denominator of -7/206802 and 40/3.
206802
Calculate the common denominator of -113/85973268 and 31/588858.
85973268
What is the common denominator of 55/84 and -37/67346256?
471423792
What is the common denominator of 73/1537344 and 47/105504?
10761408
What is the least common multiple of 22495 and 23770?
106941230
Calculate the smallest common multiple of 8708294 and 14952.
104499528
What is the lowest common multiple of 162 and 11521116?
11521116
What is the common denominator of -89/556 and 51/207578?
57706684
What is the smallest common multiple of 1613953 and 44?
6455812
What is the smallest common multiple of 59808 and 692776?
8313312
Calculate the common denominator of -127/295932 and 55/644.
6806436
Calculate the lowest common multiple of 154709932 and 1482.
464129796
Calculate the common denominator of 12/8735 and 19/2230.
3895810
Calculate the smallest common multiple of 125190 and 71007768.
355038840
Calculate the lowest common multiple of 944354 and 806766.
121821666
What is the least common multiple of 254585 and 207120?
12220080
Calculate the lowest common multiple of 1498320 and 333292960.
2999636640
What is the least common multiple of 10194704 and 32?
20389408
Calculate the common denominator of 26/4611 and 81/98474.
8567238
What is the smallest common multiple of 33 and 1074660?
11821260
Find the common denominator of -9/8 and 69/236045674.
944182696
Calculate the least common multiple of 3074088 and 24.
3074088
What is the smallest common multiple of 32827716 and 87030?
164138580
Calculate the lowest common multiple of 24 and 96258.
385032
What is the smallest common multiple of 300 and 100984?
7573800
Calculate the common denominator of 13/2116092 and -157/980628.
40205748
What is the smallest common multiple of 2045082 and 2874?
979594278
What is the lowest common multiple of 5216288 and 1606?
5216288
What is the common denominator of 103/594877686 and -71/78?
594877686
Calculate the least common multiple of 138664 and 14109062.
56436248
What is the smallest common multiple of 237202 and 5574247?
11148494
Calculate the smallest common multiple of 325568 and 34.
5534656
Calculate the common denominator of -37/17933066 and 67/18.
161397594
What is the least common multiple of 2200 and 185405?
7416200
Calculate the common denominator of -79/5324 and 5/6546.
17425452
What is the lowest common multiple of 1554150 and 51805?
1554150
What is the smallest common multiple of 473 and 7248725?
7248725
Calculate the lowest common multiple of 1848 and 166296.
12804792
Find the common denominator of -113/27880 and 49/357272.
73240760
Calculate the smallest common multiple of 62461 and 7807625.
7807625
Calculate the lowest common multiple of 6128824 and 61288240.
61288240
Calculate the common denominator of -151/56928 and 65/9177.
174142752
What is the common denominator of -27/4 and -101/54166316?
54166316
Calculate the common denominator of | {
"pile_set_name": "DM Mathematics"
} |
068?
2, 11, 23, 53, 313
What are the prime factors of 2345891?
2345891
What are the prime factors of 5506299?
3, 67979
List the prime factors of 17415706.
2, 7, 11, 113089
List the prime factors of 17915.
5, 3583
List the prime factors of 860852.
2, 19, 47, 241
What are the prime factors of 619489?
13, 47653
What are the prime factors of 369516?
2, 3, 7, 53, 83
What are the prime factors of 1582606?
2, 257, 3079
What are the prime factors of 437033?
437033
List the prime factors of 6692845.
5, 19, 70451
What are the prime factors of 288931?
288931
What are the prime factors of 7529780?
2, 5, 383, 983
What are the prime factors of 1807668?
2, 3, 149, 337
List the prime factors of 8924362.
2, 4462181
What are the prime factors of 316829?
17, 18637
What are the prime factors of 6715303?
7, 19, 7213
What are the prime factors of 3145749?
3, 1048583
List the prime factors of 2822047.
43, 65629
What are the prime factors of 408934?
2, 41, 4987
List the prime factors of 834526.
2, 7, 11, 5419
What are the prime factors of 112750?
2, 5, 11, 41
What are the prime factors of 63366?
2, 3, 59, 179
What are the prime factors of 16180760?
2, 5, 31, 13049
List the prime factors of 544696.
2, 68087
What are the prime factors of 13403027?
11, 1218457
List the prime factors of 25180891.
821, 30671
List the prime factors of 671069.
7, 37, 2591
What are the prime factors of 2727781?
7, 179, 311
What are the prime factors of 380467?
101, 3767
What are the prime factors of 98344?
2, 19, 647
List the prime factors of 7660083.
3, 757, 3373
What are the prime factors of 2554269?
3, 851423
List the prime factors of 1083967.
23, 47129
What are the prime factors of 24135085?
5, 13, 151, 2459
List the prime factors of 3486700.
2, 5, 7, 17, 293
What are the prime factors of 6507895?
5, 197, 6607
List the prime factors of 232910.
2, 5, 23291
List the prime factors of 1735258.
2, 7, 17, 23, 317
List the prime factors of 17260068.
2, 3, 7, 205477
What are the prime factors of 2346124?
2, 11, 71, 751
What are the prime factors of 2521577?
157, 16061
What are the prime factors of 108178?
2, 7, 7727
List the prime factors of 1235122.
2, 7, 88223
List the prime factors of 20004979.
20004979
What are the prime factors of 9145911?
3, 41, 74357
List the prime factors of 196098.
2, 3, 7, 23, 29
List the prime factors of 2818764.
2, 3, 13, 19, 317
What are the prime factors of 89032?
2, 31, 359
What are the prime factors of 309006?
2, 3, 17167
What are the prime factors of 23136962?
2, 11568481
What are the prime factors of 2372894?
2, 17, 101, 691
List the prime factors of 620802.
2, 3, 7, 13, 379
What are the prime factors of 3773882?
2, 7, 97, 397
List the prime factors of 12575702.
2, 239, 26309
List the prime factors of 1023261.
3, 341087
What are the prime factors of 876093?
3, 23, 12697
What are the prime factors of 313236?
2, 3, 7, 11, 113
What are the prime factors of 16440171?
3, 11, 61, 8167
What are the prime factors of 3093568?
2, 48337
List the prime factors of 515202.
2, 3, 17, 5051
What are the prime factors of 620953?
89, 6977
List the prime factors of 2838436.
2, 709609
What are the prime factors of 4911137?
7, 11, 63781
List the prime factors of 1437414.
2, 3, 11, 29, 751
What are the prime factors of 407761?
173, 2357
List the prime factors of 1156787.
199, 5813
List the prime factors of 110373.
3, 36791
What are the prime factors of 767315?
5, 19, 41, 197
What are the prime factors of 1153533?
3, 29, 13259
List the prime factors of 934496.
2, 19, 29, 53
What are the prime factors of 2110944?
2, 3, 11, 1999
List the prime factors of 220087.
7, 23, 1367
List the prime factors of 1384915.
5, 7, 39569
List the prime factors of 751223.
11, 31, 2203
What are the prime factors of 136200?
2, 3, 5, 227
What are the prime factors of 9238924?
2, 577, 4003
What are the prime factors of 1348913?
1348913
What are the prime factors of 139016?
2, 17377
What are the prime factors of 3005182?
2, 1502591
List the prime factors of 770369.
61, 73, 173
What are the prime factors of 56801?
79, 719
List the prime factors of 9080157.
3, 19, 241, 661
What are the prime factors of 378197?
131, 2887
What are the prime factors of 559116?
2, 3, 31, 167
What are the prime factors of 294701?
11, 73, 367
What are the prime factors of 231366?
2, 3, 38561
What are the prime factors of 337966?
2, 29, 5827
List the prime factors of 204346.
2, 83, 1231
List the prime factors of 4117979.
4117979
What are the prime factors of 1355330?
2, 5, 135533
What are the prime factors of 1016822?
2, 131, 3881
What are the prime factors of 1818389?
431, 4219
List the prime factors of 1866279.
3, 41, 15173
List the prime factors of 11394254.
2, 5697127
What are the prime factors of 294354?
2, 3, 23, 79
What are the prime factors of 428678?
2, 19, 29, 389
List the prime factors of 6942433.
6942433
What are the prime factors of 77353?
103, 751
List the prime factors of 880822.
2, 37, 11903
What are the prime factors of 7001553?
3, 13, 179527
List the prime factors of 598675.
5, 7, 11, 311
List the prime factors of 1624448.
2, 7, 37
List the prime factors of 2423563.
2423563
List the prime factors of 19741291.
23, 858317
What are the prime factors of 1102667?
29, 47, 809
List the prime factors of 6971383.
6971383
What are the prime factors of 2450197?
181, 13537
What are the prime factors of 6174334?
2, 3087167
List the prime factors of 5344345.
5, 419, 2551
List the prime factors of 282306.
2, 3, 47051
List the prime factors of 2204681.
919, 2399
What are the prime factors of 252340?
2, 5, 11, 31, 37
List the prime factors of 1103797.
1103797
List the prime factors of 7350.
2, 3, 5, 7
What are the prime factors of 179298?
2, 3, 7, 1423
List the prime factors of 3126149.
13, 240473
List the prime factors of 286050.
2, 3, 5, 1907
What are the prime factors of 9044483?
7, 1292069
What are the prime factors of 6725650?
2, 5, 134513
List the prime factors of 638217.
3, 70913
List the prime factors of 78831.
3, 19, 461
List the prime factors of 31004050.
2, 5, 7, 11, 8053
What are the prime factors of 22159606?
2, 7, 31, 51059
What are the prime factors of 855594?
2, 3, 47533
What are the prime factors of 4730295?
3, 5, 23, 13711
List the prime factors of 1132148.
2, 383, 739
What are the prime factors of 359394?
2, 3, 7, 43, 199
What are the prime factors of 30561852?
2, 3, 17, 37, 4049
What are the prime factors of 114372?
2, 3, 353
What are the prime factors of 22955?
5, 4591
What are the prime factors of 205848?
2, 3, 953
What are the prime factors of 966001?
41, 23561
List the prime factors of 2259364.
2, 683, 827
List the prime factors of 4815584.
2, 61, 2467
List the prime factors of 6168.
2, 3, 257
What are the prime factors of 2401329?
3, 7, 41, 2789
List the prime factors of 924834.
2, 3, 17, 9067
What are the prime factors of 4891371?
3, 1630457
List the prime factors of 898010.
2, 5, 89, 1009
What are the prime factors of 1796743?
13, 41, 3371
What are the prime factors of 2717232?
2, 3, 7, 8087
What are the prime factors of 21015796?
2, 1051, 4999
What are the prime factors of 422636?
2, 19, 67, 83
What are the prime factors of 402831?
3, 11, 13, 313
List the prime factors of 27245.
5, 5449
What are the prime factors of 7375281?
3, 2458427
What are the prime factors of 5141684?
2, 17, 83, 911
List the prime factors of 22019.
97, 227
List the prime factors of 362269.
67, 5407
What are the prime factors of 11834401?
977, 12113
What are the prime factors of 2265715?
5, 453143
What are the prime factors of 47830?
2, 5, 4783
What are the prime factors of 5646359?
59, 95701
What are the prime factors of 3899659?
29, 134471
What are the prime factors of 3023037?
3, 335893
What are the prime factors of 49038?
2, 3, 11, 743
List the prime factors of 932361.
3, 167, 1861
List the prime factors of 1465304.
2, 151, 1213
What are the prime factors of 1089382?
2, 7, 77813
What are the prime factors of 506496?
2, 3, 1319
List the prime factors of 20746638.
2, 3, 11, 53, 659
What are the prime factors of 9003166?
2, 17, 23, 29, 397
What are the prime factors of 40516?
2, 7, 1447
What are the prime factors of 8874412?
2, 23, 96461
List the prime factors of 4019872.
2, 125621
List the prime factors of 6657800.
2, 5, 33289
W | {
"pile_set_name": "DM Mathematics"
} |
e (6/(-44))/((-6)/8). Let k = -163 - 243. Let n be (-4)/7 - k/882. Put j, -2/5, n in ascending order.
-2/5, n, j
Suppose 2*z = -z + 60. Let j be (-10)/(-2)*(-16)/z. Let r = 9 + j. Put -4, r, 2 in descending order.
r, 2, -4
Suppose -5*k + 30 = -0*k - 3*s, 0 = -k + 5*s + 28. Let n = 2 + k. Let u = 22 + -20. Put n, u, 0 in increasing order.
0, u, n
Suppose h = -5*i + 75 - 8, -4*h + 47 = 3*i. Suppose -5*g = f - i, 4*g = -5*f - 1 + 24. Let b be (-1 - 3)*(-1)/g. Sort 0.1, -0.3, b.
-0.3, 0.1, b
Let m = -2 + -1. Let k = 0 + m. Sort 0, k, -4 in increasing order.
-4, k, 0
Suppose -2*u + t - 15 = 0, 6*u - u - 3*t + 40 = 0. Sort -1, u, 17.
u, -1, 17
Suppose 2 = -5*w + 3*w. Suppose -3*l - 2*q + 4 = 0, 4*l + q = -0 - 3. Let i be l + -2 + (-34)/(-8). Put -5, w, i in increasing order.
-5, w, i
Let r = -44 + 43.7. Let d = -11 + 8. Put 0.04, r, d in descending order.
0.04, r, d
Let u be (-4656)/(-23)*(-36)/27. Let f = -270 - u. Sort 0.3, f, -3 in increasing order.
-3, f, 0.3
Let x(z) = z - 11. Let f be x(9). Suppose 3*h - 6 = -k, -4*h + 0*h + 8 = -k. Sort f, -3, k.
-3, f, k
Let p = 76 - 71. Sort -2, 3, p in decreasing order.
p, 3, -2
Let l(w) = w**3 + 9*w**2 - 4. Let h be l(-9). Sort -11, -2, h in increasing order.
-11, h, -2
Suppose 0*r = 5*r - 15. Suppose -r*d = d + 8. Let b = -28 + 28. Sort 2, b, d.
d, b, 2
Let o = -0.2 + 0.1. Let l = 113/3 - 1475/39. Put 5, o, l in decreasing order.
5, o, l
Let r be ((-20)/30)/((-2)/(-9)). Sort r, 2, -1 in ascending order.
r, -1, 2
Let d be -26*(-1)/6 + 1/(-3). Sort d, -8, -1, -5 in ascending order.
-8, -5, -1, d
Suppose 0*p + 4 = -p. Let i = 0 - 2. Sort -5, i, p in descending order.
i, p, -5
Let n = -17 + 13. Sort 3, 2/23, n in descending order.
3, 2/23, n
Suppose 2*l + 4*f = 10, l = -4*f + 9 - 0. Let h = -471/22 - -43/2. Put -0.3, h, l in decreasing order.
l, h, -0.3
Suppose 6*l = l + 965. Let a = -1739/9 + l. Let t = 1.6 + -1.5. Put -2/5, t, a in increasing order.
-2/5, a, t
Suppose 2*i = -4*q - 12, 0 = 4*q - 2*i - 3*i + 26. Sort -2, q, -27 in descending order.
-2, q, -27
Let n = -0.59 - -0.69. Sort 2/11, n, -1 in ascending order.
-1, n, 2/11
Suppose 1 = -r + 3*s, 0*r - r - 5*s = -7. Suppose -r*v - 6 = 4. Put v, -3, -4 in ascending order.
v, -4, -3
Let w be -14 + 13 - 2/2. Sort 1, -11, w, -5.
-11, -5, w, 1
Let n = 4 - 4. Let d = 26 + -25. Sort 5, n, d in ascending order.
n, d, 5
Let i = -1.5 + 1.8. Sort 0, i, -0.4 in ascending order.
-0.4, 0, i
Let f = 5.7 - 0.7. Let v = f + -7. Let b = 1.9 + v. Sort 3, -4, b in decreasing order.
3, b, -4
Let z be -2 + 2*2 + 3. Suppose 0 = -3*o - 5*r - 29, 2*o + r = -2*o - 33. Let b be (z/(30/o))/6. Sort -5/2, -0.1, b in increasing order.
-5/2, b, -0.1
Let i = 453/7 - 65. Let h = -2.97 - 0.03. Put i, h, 0.4 in descending order.
0.4, i, h
Let h = -5 - -9. Let z = 0 + 0.5. Let b = -0.8 + z. Put 1/6, b, h in decreasing order.
h, 1/6, b
Let r = 3.97 + 0.03. Let b = -16 + 11. Put -2, b, r in descending order.
r, -2, b
Suppose -2*a + 0*a - 24 = 0. Put a, -3, -0.3, 2 in descending order.
2, -0.3, -3, a
Let i = -2 + 7. Suppose 0*f - 20 = i*f. Let o be f*(-2 - 15/(-6)). Sort -3, -1, o.
-3, o, -1
Suppose -2*y = l - 2*l - 5, 2*y = 2*l + 2. Sort 33, y, 1, 3.
1, 3, y, 33
Let r be 10/(-3) - -2 - -2. Let j be 1/(-3) + 40/12. Suppose h - j*q = -5, 3*q - 32 = -5*h - q. Put -4, r, h in decreasing order.
h, r, -4
Suppose 5*j - 4 = -3*z, -4*j + 0*z - 2*z = -4. Put j, 3, -2, 5 in decreasing order.
5, 3, j, -2
Let j = 19.1 + -3.1. Let w = j - 16. Sort 1, -0.3, w in descending order.
1, w, -0.3
Let s(m) = -m + 5. Let o be s(3). Let g = o - 3. Let i be (1 + 0)/g + 4. Sort -5, i, 4 in increasing order.
-5, i, 4
Let p = -2 + -5. Let u = 0.05 + -2.05. Sort p, u, -0.2 in decreasing order.
-0.2, u, p
Suppose 0 = -6*r + r. Suppose r = 3*k - 3 - 3. Let h be 16/(-4)*k/(-4). Sort -3, h, 3.
-3, h, 3
Let l = 0.245 + -10.145. Let t = 10 + l. Put t, 2, 3/8 in decreasing order.
2, 3/8, t
Suppose 4*j + 0*j - 8 = 0. Suppose -4*f - 4*c = -j*f + 16, 5*f - 20 = 5*c. Sort f, -2/13, -1 in increasing order.
-1, -2/13, f
Let x be (-4)/10 - 32/20. Sort x, 0.3, -0.1 in decreasing order.
0.3, -0.1, x
Suppose -g + c - 1 = 0, -2*g = 2*c - 7*c + 17. Suppose b - 11 = -3*n - 0, 5*n + g*b = 30. Let t be (n/(-5))/((-6)/(-30)). Put t, 0, 3 in decreasing order.
3, 0, t
Let j = -0.8 + -0.2. Let v = j - -0.7. Let r = -0.38 + 3.38. Sort -0.5, v, r in descending order.
r, v, -0.5
Let h be 10*(133/(-45) + 3). Let b = -12 + 17. Sort b, h, -1 in descending order.
b, h, -1
Let d = -191 - -195. Sort 2, 3, d, -6/17.
-6/17, 2, 3, d
Let y = 294157/413595 - 1/9191. Let x = -10/9 + y. Let o = 202 + -1820/9. Put o, x, 0.5 in descending order.
0.5, o, x
Let z = -2.7 + 2.8. Put z, 3, -3 in increasing order.
-3, z, 3
Suppose 0*u = u. Let j be (-2 - (-15)/(-6)) + (-1)/2. Let b(a) = -a**2 - 2*a - 1. Let s be b(-2). Sort j, u, s.
j, s, u
Let q = 55 - 56. Sort q, 0, 3, 5 in decreasing order.
5, 3, 0, q
Let r be 1/(-4) - (-26)/8. Suppose 4*a - 6 - 2 = 0. Suppose -3*g = 2*d + a - 0, 1 = -d - 3*g. Sort -4, d, r in increasing order.
-4, d, r
Let f = 321.3 + -296. Let j = -25 + f. Let a = 0.12 + 4.88. Sort j, 3, a in decreasing order.
a, 3, j
Let m = -2 - -2. Let h = 703/7 - 101. Put m, h, -0.3 in decreasing order.
m, -0.3, h
Let k = 55 - 51. Put k, -6, -3, 5 in decreasing order.
5, k, -3, -6
Let r be -2*1*((-4)/8 - -1). Put r, 0, -2, -5 in ascending order.
-5, -2, r, 0
Let p = -157 + 156.9. Put p, -1/33, 2, -2/13 in increasing order.
-2/13, p, -1/33, 2
Let h = -3 - -4. Let z(i) = i + 16. Let j be z(-17). Sort j, -3, h in descending order.
h, j, -3
Let g = 2/91 + 75/728. Let t be 10/(-25) + 22/5. Suppose 5*h - t*j + 8 - 20 = 0, -4*h = -2*j - 6. Sort h, g, 5 in descending order.
5, g, h
Let o(d) = -6*d + 1. Let v be o(-1). Suppose -5*m + 6 = p, 0 = 3*p - m + 3*m + 8. Let r = v + p. Put 4, r, -1 in increasing order.
-1, r, 4
Let g be 2/1 + (-6)/3. Let j be 3/1 - (0 + -1). Sort g, j, -2 in descending order.
j, g, -2
Let x = -0.066 - 0.034. Let w = -33/70 - -1/14. Put x, 4, w in increasing order.
w, x, 4
Let f be 27/6*2/3. Let n be (2/4)/(1/2). Sort f, n, 5 in increasing order.
n, f, 5
Let r(h) = h**2 - 8*h + 4. Let s be r(7). Let a = s + 3. Suppose -b - 4*b + 5 = a. Put -3, b, 3 in increasing order.
-3, b, 3
Let m = -1.4 + 1.3. Put -0.5, m, 0.2 in ascending order.
-0.5, m, 0.2
Let i be (-1)/(-2)*(-7 - (4 - 1)). Suppose 0*s = -4*s - 24. Let q be 4/14 - (-4)/(-14). Put s, i, q in decreasing order.
q, i, s
Suppose 2*f - 4*c = -6, -f - 2*f - c = 9. Sort 22, -5, f in descending order.
22, f, -5
Suppose -4*f + 20 = 4. Suppose -3*s + f = -s. Sort s, 5, -5 in increasing order.
-5, s, 5
Let t(g) = g**3 + 7*g**2 + 1. Let p be t(-7). Let m be -3 + (3/(-3) - p). Put 0, -0.3, m in decreasing order.
0, -0.3, m
Let l be ((-2)/(-5))/(-1)*1. Sort l, -1/3, 3 in descending order.
3, -1/3, l
Let k be (-26)/(-65)*(-30)/8. Sort k, -2, 0.05 in descending order.
0.05, k, -2
Let o = 5 - 3. Let g = -31 + 21. Let t = 6 + g. Put 4, t, o in descending order.
4, o, t
Suppose -5*d = -5*n - 15, 4*n + n = -10. Let k = 27 + -27. Let u = -7 + 3. Sort u, k, d in decreasing order.
d, k, u
Suppose 0 = -5*t + n - 30, -3*n + 15 = -0*n. Let l be -3 + (84/3)/4. Let x be (l/14)/(t/10). Sort -0.1, x, -1.
-1, x, -0.1
Let g = 13/15 + -2/3. Let y = 5.07 - 0.07. Sort g, 3, y in increasing order.
g, 3, y
Let d = -659 + 659. Let y = 0.8 + 0.2. Sort y, d, 2/5 in increasing order.
d, 2/5, y
Let b(d) be the first derivative of -5*d**2/2 - d + 5. Let p be b(-1). Put 0, p, -4 in ascending order.
-4, 0, p
Suppose -7 = -2*a - u, 5*a + 3*u = a + 13. Let m = a + 1. Put 3, 0, m in increasing order.
0, 3, m
Let q be (-110)/(-35) - 2/14. Suppose -3*i = -4*u + 50 - 140, 0 = 3*i - u - 99. Suppose -2*g + 18 = -g - q*l, -5*l - i = -3*g. Put g, 5, -5 in ascending order.
-5, g, 5
Let k = -458/55 - -96/11. Put -4, -2/23, -0.4, k in descending order.
k, -2/23, -0.4, -4
Suppose -5*s + 2 = -13. Put 4, 2, s in decreasing order.
4, s, 2
Let t be 2*(-1 + 30/4). Let l = t + -8. Let x be 10/(-3)*36/(-30). Sort l, -5, x.
-5, x, l
Let l be 2/((-6)/9*-1). Let j be (-2)/(-4)*(-1 + 1). Sort j, -5, l.
-5, j, l
Let b = -2.5 + 7.4. Let k = -5 + b. Let v = k + 0.1. Sort v, 1/2, -2/5 in increasing order.
-2/5, v, 1/2
Let z = 1 + -1. Let q be ((-10)/(-15)) | {
"pile_set_name": "DM Mathematics"
} |
3 + 19*d**3 + 8*d to i*d + g*d**2 + x + z*d**3 and give x.
-12
Rearrange 15*u - 57*u - 8*u**4 + 14*u + 3*u**3 + 10*u + 16*u to s*u**3 + x*u**4 + d + l*u**2 + i*u and give s.
3
Rearrange (-2 + 4 - 1)*(658 + 1309 - 240)*(3*h**3 - h**3 - 3*h**3) to k*h**3 + x*h**2 + y + a*h and give k.
-1727
Express -9*f**3 + 13*f**2 - 18*f**2 + 4*f + 4*f**2 + 2 as v*f + c*f**3 + o*f**2 + t and give v.
4
Express 157*t - 89330 + 89330 - 2*t**3 in the form z + a*t**3 + k*t**2 + v*t and give a.
-2
Express 4*x**3 - 2 + 5*x + x**3 - 19*x**3 - 4*x + x in the form t*x**3 + v*x**2 + y + d*x and give y.
-2
Express (2 - 2 - 2)*(0 - 2 + 4)*(-23*b + 1 + 104*b + 42*b) in the form w + d*b and give d.
-492
Rearrange (2*z + 3 - 3)*(-6 + 3 + 2) + 0 - 58855*z + 0 + 57635*z to g*z + v and give g.
-1222
Rearrange 3*z**3 - 221*z + 223*z + 3 - 2 + z**3 + 4*z**3 + 9*z**2 to the form d + y*z + t*z**3 + w*z**2 and give t.
8
Rearrange 18 + 244*h - 491*h + 262*h to the form p + o*h and give p.
18
Express -2*z**2 + 2*z**3 - 47051*z**4 + 3*z + 47050*z**4 - 4*z**3 as i*z**3 + c*z + f*z**2 + h + o*z**4 and give f.
-2
Express 34*s - 39*s + s**3 - 4 - 3*s**3 + 2 in the form o*s + z + i*s**3 + y*s**2 and give o.
-5
Rearrange (-2*x**2 + 5*x**2 + 0*x**2)*(32*x**2 - 684*x**2 - 25*x**2) to z*x**2 + i + r*x**3 + y*x + d*x**4 and give d.
-2031
Express -8*n + 1219*n**2 - 7*n - 606*n**2 - 614*n**2 as a*n + o + j*n**2 and give a.
-15
Express -3*b**2 + b**2 + b**2 + (b - 3 + 3)*(176*b + 121*b - 98*b) as o + r*b**2 + g*b and give r.
198
Express -396*o - 48*o - 90*o + 41*o as u*o + g and give u.
-493
Express -28 - 33*o**3 + 18*o**3 + 17*o**3 + (o + o - o)*(1 + 2*o**2 - 1) in the form d*o**3 + x + g*o**2 + q*o and give d.
4
Rearrange (-6*c + c + 2*c)*(-5 - 58 - 69)*(-1 + 0 - 1) to the form p + t*c and give t.
-792
Rearrange 5*x - 3*x + 0*x + (7 - 5*x - 7)*(-9 - 13 - 1) + (-2*x + 3*x + 0*x)*(1 + 0 - 2) - x - 4*x - x to h + y*x and give y.
110
Rearrange -6701 + 6701 - 3*n**3 + 23*n**4 + n to g + m*n**3 + k*n + h*n**2 + r*n**4 and give k.
1
Rearrange (2 + 3 - 3)*(68*r + 218*r - 96*r) + (-5*r + r + 3*r)*(3 - 2 + 3) to the form p*r + i and give p.
376
Rearrange -18*b**2 + 3*b**2 + 2*b**2 + 1 + 2*b**2 + 7*b**3 + 2*b**2 to the form j + c*b**2 + z*b + m*b**3 and give c.
-9
Express 209*k + 46*k + 57*k as u*k + n and give u.
312
Rearrange (21 + 13 + 68)*(2*q - q + 10*q) to the form j*q + u and give j.
1122
Rearrange i**2 - 1770*i + 2*i**2 + 1761*i to b*i**2 + o*i + p and give b.
3
Express -3*v**2 + 4*v + 59 - 68 - 6*v in the form y*v**2 + k*v + u and give y.
-3
Express 3*w**3 + 0*w**3 - w + 5 - 11 in the form d*w**2 + n + r*w**3 + j*w and give j.
-1
Express -427 + 2*d**2 - 397 + 866 in the form g*d**2 + v + l*d and give g.
2
Rearrange (-5*v - 29*v - 50*v + (1 + 3 - 6)*(4*v - 3*v + 0*v))*(-2*v**3 + 4*v**3 - v**3) to the form h*v + k*v**3 + j*v**2 + g + r*v**4 and give r.
-86
Rearrange -84*i**3 - i + 10*i + i + 87*i**3 to m + l*i + w*i**2 + z*i**3 and give l.
10
Express (-5*j**4 + 2*j**4 - j**4)*(-444 + 120 + 213) in the form b*j + r + m*j**2 + d*j**3 + l*j**4 and give d.
0
Rearrange -j + 0*j - j + (-9 - 14 - 13)*(0 - 3*j + 0) to the form l + q*j and give q.
106
Rearrange 2*n**2 + 16 + n**2 + 2*n**3 - n**2 + n**2 to the form r*n + g + l*n**3 + k*n**2 and give l.
2
Express (-5*r - 1 + 1)*(0*r - 5*r + 4*r) + 10*r**2 - 69*r**2 + 4*r**2 in the form s*r + u*r**2 + a and give u.
-50
Express (-4 + f**3 - 4*f**4 + 1 + 6*f**4)*(-172 + 320 - 174) as n*f**2 + d + o*f**3 + l*f**4 + x*f and give d.
78
Express (-1 + 1 + 2)*(-2*f - f + f) + 3 - 3 + 2*f - 1 + 59*f - 23*f + 48*f in the form n + g*f and give n.
-1
Express ((-2 - 3 + 7)*(0 + 0 + 2) - 3 - 3 + 3)*(20 + 33*k - 20) + k - 14*k - 2*k in the form h*k + n and give h.
18
Express 56 - 54 + o**3 - 3*o**4 - o**4 - 10*o**2 + 7*o + 10*o**2 in the form y*o**4 + b*o**2 + x*o**3 + g + d*o and give d.
7
Express (208 - 208 + 272*k)*(-2*k + 0*k + 3*k)*(1 + 3 - 2) in the form i + m*k**2 + c*k and give m.
544
Rearrange 391*y - 142*y - 40*y to q + f*y and give f.
209
Rearrange 56*k**2 + 2 + k**3 + 38*k**2 - k - 76*k**2 to p*k + s + u*k**3 + d*k**2 and give u.
1
Rearrange 3*a**3 - 47662 + 47635 + 2*a + a**3 to d*a**2 + k*a + o + q*a**3 and give k.
2
Express -86*y - 60 - 823*y + 29 + 31 as f + o*y and give o.
-909
Rearrange 10*i**2 - 218 + 13*i**2 + i + 433 - 219 to v + q*i + b*i**2 and give v.
-4
Rearrange (4 + t**2 - 4)*(1 - 2 - 1)*(1 - 3 - 5) to d*t + x*t**2 + r and give x.
14
Express (d**2 + 3*d**2 + 0*d**2)*(-3 - 27 + 2)*(-1 - 7 + 5) in the form o*d + h*d**2 + v and give h.
336
Express 5*a**2 - 3*a**2 + 308 - 765 as n + k*a**2 + r*a and give k.
2
Express (-2*k + 2*k - 2*k**3)*(5 - 1 - 2) - 66 + 66 + 53*k**3 as n*k**2 + c*k + w + j*k**3 and give j.
49
Express 191 - 191 - 36*x - 278*x as f*x + g and give g.
0
Rearrange 113 + 3*b**3 - b**2 - 2*b**4 - 53 - 58 to m*b + k + a*b**2 + o*b**3 + u*b**4 and give a.
-1
Express -14*a**2 - 5*a**2 + 0*a**2 - a - 5*a**2 + 2*a**3 as m*a**3 + k*a + t + c*a**2 and give c.
-24
Express 142*o - 287*o - 2*o**2 + o**3 - 1 - 6*o**4 + o**3 + 147*o in the form g*o + j*o**3 + w*o**2 + q*o**4 + a and give g.
2
Rearrange (-3 + 4 - 4)*(3*p + 2*p**2 - 4578 + 4578) to c + y*p**2 + j*p and give j.
-9
Rearrange -4*f - 11*f**2 + 1299 + 8*f - 1299 + 21*f to w*f + d + p*f**2 and give p.
-11
Rearrange (0 + 1 + 2)*(-1 + 4 - 1)*(1 - 1 - 2)*(-3*h**4 + 24 - 24) to z + w*h**4 + l*h**3 + r*h**2 + u*h and give w.
36
Express (-2 + 5 - 1)*(4*k + k - 2*k) + 4*k - 3*k + k as t*k + z and give z.
0
Rearrange -2*j**2 - 18*j - 2*j**3 + 31*j - 4 + 6*j - j**4 + 2*j**2 to f*j**2 + u*j**4 + x*j + q + s*j**3 and give x.
19
Rearrange (-5*g + 5*g - 2*g)*(2*g - g - 3*g) + 902053 + g**2 + 264*g - 902053 to the form v*g + f*g**2 + a and give a.
0
Express 14*c - 472 + 472 in the form h*c + w and give h.
14
Express 53*f - 50*f - 25*f**3 - 8 - 2*f**4 + 9*f**2 + 24*f**3 in the form i*f**4 + q*f**3 + z + o*f + c*f**2 and give z.
-8
Rearrange 2*g**2 - 22*g**4 + 7*g**4 + 3*g**4 + 2*g + 6*g**4 - 5*g**3 to the form l*g**4 + w*g**3 + m + i*g**2 + n*g and give m.
0
Rearrange (-2*m**2 + 4 - 4)*(-5 + 2 + 4) - 5077*m**2 - 37*m + 109*m - 39*m - 33*m to k*m**2 + x + t*m and give k.
-5079
Express -4050*r**2 + 0*r**3 - r**3 + 4151*r**2 - 7*r**3 + 2 - 2 + (-r + 0 + 0)*(r**2 + r**2 - 3*r**2) in the form n*r**3 + g*r**2 + w*r + o and give o.
0
Rearrange -2 + 624*x - 1943*x - 2 + 4 to the form n*x + s and give n.
-1319
Rearrange (-123*x - 130*x + 59 + 248*x)*(-1 + 2 - 2) to o + z*x and give o.
-59
Express (0 + 0 + 1)*(2*k + 0*k + 7*k)*(2 + 5 + 12) in the form m*k + l and give m.
171
Express (-9*c**2 - 37*c**2 - 4*c**2)*(2*c + 40 - 19 - 11 - 16) in the form r*c + v*c**3 + l + q*c**2 and give v.
-100
Express 15*h - 4*h + 918 - 924 as k*h + f and give k.
11
Rearrange -15*t**2 + 127 + 17*t**2 + 0 + 19 to the form o + k*t + p*t**2 and give p.
2
Rearrange (0*x - 3759 + 3546 + x)*(-x**3 + 3 - 3) - x**4 - x**4 + 0*x**4 to the form m*x**2 + l + g*x**3 + z*x**4 + j*x and give g.
213
Express (-6*p + 8*p + 8*p)*(-14*p**2 - 7*p**2 + 13*p**2) + p**3 + 2*p**3 - 5*p**3 as n*p**3 + w + z*p**2 + t*p and give n.
-82
Rearrange (3 - 3 + 2)*(-4 + 4 - 2*j) - 3156*j - 3 + 1574*j - 35 + 1574*j to d*j + z and give d.
-12
Rearrange (2*v - 5*v + 2*v)*(-2 + 6 - 2) + 27287*v + 3 + 5 - 27688*v to the form t*v + q and give q.
8
Rearrange (-x**3 - 2*x**3 - 109*x**4 + 150*x**4)*(-2 - 6 + 2) to the form r*x**2 + o + s*x + z*x**4 + k*x**3 and give z.
-246
Express (90*c**3 + 2504*c - 2504*c)*(9*c - 5 + 5) in the form j*c**3 + z*c + q*c**2 + i + y*c**4 and give y.
810
Express 5*r**2 + 4 - 16*r - 4 + 3*r + 11*r as c*r + k + g*r**2 and give g.
5
Rearrange 83*u**2 - 26*u**2 + 121*u**2 to the form n + k*u + b*u**2 and give b.
178
Express -z**2 + 166*z - 17*z + 1 + 0*z**2 as b*z**2 + j*z + l and give l.
1
Rearrange 524*d - 44*d - 190*d to p + c*d and give c.
290
Rearrange ((4 - 1 - 1)*(2 + 3 - 3) + 3 - 1 - 1)*(4*g - 12*g - 138*g) to the form v*g + q and give v.
-730
Express -314*b - 2*b**3 + 5*b**4 - 308*b + 11*b**2 + 625*b in the form d*b + f*b**3 + j*b**2 + t*b**4 + s and give d.
3
Express (0*z - z + 0*z + (-2 - 1 + 2)*(-2*z - 2 + 2) - 4*z - 16 + 16)*(1 - 3 - 5)*(-1 - 4 - 4)*(-2 + 2 - 1)*(2 + 2 - 3) in the form h + d*z and give d.
189
Express -7*n**3 + 10*n + 6* | {
"pile_set_name": "DM Mathematics"
} |
, -141, -238, -371, -546?
-h**3 - 3*h**2 - 9*h + 7
What is the a'th term of -38, -174, -408, -740, -1170?
-49*a**2 + 11*a
What is the q'th term of 500, 2011, 4530, 8057, 12592?
504*q**2 - q - 3
What is the t'th term of -741, -727, -695, -639, -553, -431?
t**3 + 3*t**2 - 2*t - 743
What is the g'th term of 122, 879, 2918, 6881, 13410, 23147?
107*g**3 - g**2 + 11*g + 5
What is the h'th term of 24, 117, 368, 855, 1656, 2849, 4512, 6723?
13*h**3 + h**2 - h + 11
What is the h'th term of 144, 284, 420, 552, 680, 804, 924?
-2*h**2 + 146*h
What is the k'th term of 4395, 8791, 13187, 17583, 21979?
4396*k - 1
What is the m'th term of 0, -8, -30, -72, -140, -240, -378?
-m**3 - m**2 + 2*m
What is the c'th term of 109, 214, 317, 418, 517, 614?
-c**2 + 108*c + 2
What is the p'th term of 92, 106, 120, 134, 148, 162?
14*p + 78
What is the w'th term of -16, -64, -146, -262?
-17*w**2 + 3*w - 2
What is the p'th term of 98, 55, -16, -115, -242?
-14*p**2 - p + 113
What is the n'th term of -334, -343, -358, -379?
-3*n**2 - 331
What is the a'th term of 1161, 1165, 1169?
4*a + 1157
What is the s'th term of 2943, 2947, 2961, 2991, 3043, 3123?
s**3 - s**2 + 2943
What is the q'th term of 7, -12, -41, -86, -153, -248?
-q**3 + q**2 - 15*q + 22
What is the u'th term of 192, 798, 1816, 3252, 5112, 7402, 10128, 13296?
u**3 + 200*u**2 - u - 8
What is the a'th term of -1383, -1382, -1395, -1428, -1487, -1578, -1707, -1880?
-a**3 - a**2 + 11*a - 1392
What is the s'th term of 177, 211, 245, 279, 313?
34*s + 143
What is the q'th term of -19, -10, 13, 56, 125, 226, 365?
q**3 + q**2 - q - 20
What is the p'th term of -184, -324, -466, -610, -756, -904, -1054?
-p**2 - 137*p - 46
What is the z'th term of 222, 214, 214, 234, 286, 382?
2*z**3 - 8*z**2 + 2*z + 226
What is the i'th term of 25, 27, 31, 37, 45?
i**2 - i + 25
What is the q'th term of -53, -51, -39, -11, 39, 117, 229?
q**3 - q**2 - 2*q - 51
What is the y'th term of -12, -21, -28, -33, -36?
y**2 - 12*y - 1
What is the n'th term of 45, 13, -17, -45?
n**2 - 35*n + 79
What is the p'th term of -28, -21, -12, -1, 12, 27, 44?
p**2 + 4*p - 33
What is the s'th term of -5008, -5008, -5006, -5002, -4996, -4988?
s**2 - 3*s - 5006
What is the p'th term of -1, 1, 3, 5?
2*p - 3
What is the o'th term of 1, -4, -7, -2, 17, 56, 121?
o**3 - 5*o**2 + 3*o + 2
What is the n'th term of -36, -34, -30, -24, -16, -6, 6?
n**2 - n - 36
What is the s'th term of 102, 201, 300, 399, 498, 597?
99*s + 3
What is the i'th term of 124, 248, 372, 496, 620?
124*i
What is the i'th term of 309, 662, 1015, 1368, 1721, 2074?
353*i - 44
What is the x'th term of 150, 283, 496, 783, 1138, 1555?
-x**3 + 46*x**2 + 2*x + 103
What is the b'th term of 9, 10, 9, 0, -23?
-b**3 + 5*b**2 - 7*b + 12
What is the k'th term of 3456, 6901, 10334, 13749, 17140, 20501, 23826?
-k**3 + 3452*k + 5
What is the g'th term of -931, -945, -975, -1027, -1107?
-g**3 - 2*g**2 - g - 927
What is the s'th term of -8, -2, 14, 46, 100, 182, 298, 454?
s**3 - s**2 + 2*s - 10
What is the w'th term of -28, -38, -70, -136, -248?
-2*w**3 + w**2 + w - 28
What is the d'th term of -551, -1112, -1689, -2288, -2915, -3576?
-d**3 - 2*d**2 - 548*d
What is the j'th term of 4634, 9271, 13908, 18545, 23182, 27819?
4637*j - 3
What is the d'th term of -31, -36, -51, -82, -135, -216?
-d**3 + d**2 - d - 30
What is the b'th term of 15, 50, 109, 192, 299, 430, 585?
12*b**2 - b + 4
What is the b'th term of -107, -164, -259, -392, -563, -772, -1019?
-19*b**2 - 88
What is the x'th term of 590, 586, 580, 572, 562, 550, 536?
-x**2 - x + 592
What is the k'th term of 2151, 4302, 6453, 8604?
2151*k
What is the s'th term of -52, -87, -110, -115, -96?
s**3 - 42*s - 11
What is the w'th term of 175, 329, 485, 643?
w**2 + 151*w + 23
What is the b'th term of -6081, -12160, -18239, -24318?
-6079*b - 2
What is the t'th term of 165, 354, 543, 732?
189*t - 24
What is the j'th term of -2, 10, 30, 64, 118?
j**3 - 2*j**2 + 11*j - 12
What is the s'th term of -8, -2, 4, 10?
6*s - 14
What is the c'th term of -13, -45, -81, -109, -117?
2*c**3 - 14*c**2 - 4*c + 3
What is the w'th term of -24, -11, 22, 87, 196, 361?
2*w**3 - 2*w**2 + 5*w - 29
What is the a'th term of -318, -332, -356, -390?
-5*a**2 + a - 314
What is the f'th term of -886, -1772, -2658, -3544, -4430?
-886*f
What is the q'th term of 3, 19, 59, 135, 259, 443, 699, 1039?
2*q**3 + 2*q - 1
What is the u'th term of -11, -4, 3, 10?
7*u - 18
What is the d'th term of 38, 33, 24, 11, -6?
-2*d**2 + d + 39
What is the x'th term of -394, -1412, -3108, -5482?
-339*x**2 - x - 54
What is the z'th term of -72, -74, -78, -84?
-z**2 + z - 72
What is the l'th term of 7, 36, 95, 190, 327, 512, 751?
l**3 + 9*l**2 - 5*l + 2
What is the g'th term of -123, -487, -1093, -1941, -3031?
-121*g**2 - g - 1
What is the z'th term of -268, -238, -210, -184, -160, -138?
-z**2 + 33*z - 300
What is the f'th term of -1580, -1581, -1584, -1589, -1596, -1605, -1616?
-f**2 + 2*f - 1581
What is the a'th term of 233, 231, 229, 227?
-2*a + 235
What is the b'th term of 124, 131, 142, 157, 176, 199, 226?
2*b**2 + b + 121
What is the i'th term of 74, 69, 72, 89, 126?
i**3 - 2*i**2 - 6*i + 81
What is the v'th term of -11, -12, -17, -26, -39, -56?
-2*v**2 + 5*v - 14
What is the q'th term of -240, -493, -754, -1023, -1300, -1585, -1878?
-4*q**2 - 241*q + 5
What is the x'th term of -25, -66, -137, -238, -369, -530, -721?
-15*x**2 + 4*x - 14
What is the o'th term of -171, -167, -151, -117, -59, 29, 153, 319?
o**3 - 3*o - 169
What is the c'th term of 24, 52, 92, 150, 232?
c**3 + 21*c + 2
What is the x'th term of 4820, 4821, 4822, 4823?
x + 4819
What is the b'th term of -301, -306, -315, -328, -345, -366, -391?
-2*b**2 + b - 300
What is the w'th term of 5, 32, 97, 218, 413, 700?
3*w**3 + w**2 + 3*w - 2
What is the q'th term of -45, -74, -103?
-29*q - 16
What is the d'th term of -15, -46, -97, -168, -259, -370, -501?
-10*d**2 - d - 4
What is the y'th term of 72, 144, 220, 300, 384, 472?
2*y**2 + 66*y + 4
What is the u'th term of 990, 1010, 1044, 1092, 1154, 1230?
7*u**2 - u + 984
What is the r'th term of 327, 638, 957, 1290, 1643?
r**3 - 2*r**2 + 310*r + 18
What is the x'th term of -8, 19, 84, 205, 400, 687, 1084?
3*x**3 + x**2 + 3*x - 15
What is the k'th term of 281, 565, 847, 1127, 1405, 1681?
-k**2 + 287*k - 5
What is the z'th term of 292, 289, 286, 283, 280, 277?
-3*z + 295
What is the m'th term of 2493, 2476, 2453, 2430, 2413, 2408, 2421?
m**3 - 9*m**2 + 3*m + 2498
What is the q'th term of 1291, 2581, 3871?
1290*q + 1
What is the z'th term of 1951, 1945, 1929, 1897, 1843, 1761?
-z**3 + z**2 - 2*z + 1953
What is the u'th term of -64, -98, -132?
-34*u - 30
What is the h'th term of -144, -145, -146, -147, -148?
-h - 143
What is the c'th term of -51, -52, -55, -60, -67, -76, -87?
-c**2 + 2*c - 52
What is the v'th term of 5, 28, 53, 80, 109?
v**2 + 20*v - 16
What is the b'th term of 6, -5, -26, -63, -122, -209?
-b**3 + b**2 - 7*b + 13
What is the z'th term of 10, -9, -54, -137, -270, -465?
-2*z**3 - z**2 - 2*z + 15
What is the g'th term of 63, 63, 61, 57?
-g**2 + 3*g + 61
What is the m'th term of -299, -1189, -2673, -4751, -7423, -10689?
-297*m**2 + m - 3
What is the h'th term of 407, 819, 1231, 1643?
412*h - 5
What is the x'th term of 200, 401, 602?
201*x - 1
What is the w'th term of -274, -413, -554, -697?
-w**2 - 136*w - 137
What is the v'th term of 192, 409, 626?
217*v - 25
What is the x'th term of -8201, -8209, -8223, -8243?
-3*x**2 + x - 8199
What is the d'th term of -611, -614, -617, -620, -623?
-3*d - 608
What is the q'th term of -1354, -1360, -1370, -1384, -1402, -1424, -1450?
-2*q**2 - 1352
What is the h'th term of 434, 435, 436?
h + 433
What is the h'th term of -9, -42, -59, -54, -21?
h**3 + 2*h**2 - 46*h + 34
What is the h'th term of 69, 104, 143, 186, 233, 284?
2*h**2 + 29*h + 38
What is the c'th term of 568, 567, 566, 565, 564, 563?
-c + 569
What is the w'th term of -288, -286, -284, -282?
2*w - 290
What is the o'th term of -177, -356, -549, -762, -1001, -1272, -1581, -1934?
-o**3 - o**2 - 169*o - 6
What is the r'th term of 21, 36, 59, 90, 129?
4*r**2 + 3*r + 14
What is the z'th term of -25, -131, -419, -979, -1901, -3275?
-15*z**3 - z**2 + 2*z - 11
What is the f'th term of 211, 209, 207, 205, 203, 201?
-2*f + 213
What | {
"pile_set_name": "DM Mathematics"
} |
. Let s be (-2)/(1*2/(-24)). Calculate the lowest common multiple of 3/b*s/9 and 18.
36
Suppose 28*t = 24*t + 36. Calculate the lowest common multiple of 8 and t.
72
Let l be (0 + 2)*-1*4. Let t(r) = r**3 + 7*r**2 - 7*r + 9. Let c be t(l). Suppose -3*h = -c - 5. Calculate the smallest common multiple of 7 and h.
14
Find the common denominator of -10*(-305)/420 - 1/3 and -85/16.
112
Let b = -950405/110724 + 2/9227. Find the common denominator of 57/10 and b.
60
Let x = -16 + 26. What is the smallest common multiple of x and 4?
20
Find the common denominator of -13/12 and (-1)/2 - 4/(-10) - -3.
60
Let m = -207809/18 - -11548. What is the common denominator of -49/30 and m?
90
What is the common denominator of 11/35 and ((-8)/(-44) + 69/(-198))*10?
105
Let d = 12 + -22. Let q = 2 + d. Calculate the common denominator of -57/22 and 2/(q/29) - -2.
44
Let w = 75784040/187 + -405264. Let d = w + -47/34. Calculate the common denominator of -41/22 and d.
22
Let m(f) = -f + 4. Let a be m(4). Suppose a*n - 5*n - 2*v + 40 = 0, -n - 3*v + 8 = 0. What is the least common multiple of 16 and n?
16
Let f(c) = -c - 1. Let o(d) = 8*d + 9. Let j(l) = 51*f(l) + 6*o(l). Calculate the least common multiple of 20 and j(-5).
180
Suppose -4*c = -4*b + 24, -5*c + 4*c - 3 = 2*b. Calculate the common denominator of (34 - -3)*1/(-3) and b + -2 + (-46)/(-6).
3
Let k(q) = -q. Let m(u) = 2*u - 1. Let d(g) = -3*k(g) - m(g). Let b be d(-6). Calculate the common denominator of 42/b + (2 - 0) and 59/7.
35
Let b = 25 + -49. Let u be (32/b)/((-4)/(-30)). What is the least common multiple of 8 and (-6)/u - 312/(-30)?
88
Suppose 4*k = -938 - 894. What is the common denominator of -76/3 and k/170 - 8/(-20)?
51
Let v be ((-267)/9 - -1)*-9. Let z be 3/((-573)/v - -2). Let w = 2259/95 + z. What is the common denominator of -101/10 and w?
10
Suppose -4*k - 142 = -3*z, z - 2*k - 47 - 3 = 0. Find the common denominator of (-29)/9 + (-4 - -1 - -2) and z.
9
Suppose 5*w - 45 = -0*w. Suppose 3*k - 5*k + 14 = 0. Let y = 11 - k. What is the lowest common multiple of w and y?
36
Let q be ((-4)/(-2) - 2) + -44. Let u = -22 - q. Suppose -b + 1 + 5 = 0. Calculate the lowest common multiple of u and b.
66
Let w(c) = -4*c - 1. Find the common denominator of 24/7 and w(4).
7
Let t = 3898 - 5619. Let l = t - -18958/11. Find the common denominator of -9/11 and l.
11
Calculate the lowest common multiple of 4 and (3 + -3 + (-2 - 8))*-2.
20
Let u(f) = -f**3 - 3*f**2 - 3*f - 3. Calculate the least common multiple of u(-3) and 8.
24
Let f(w) = w**3 + 6*w**2 + 4*w + 6. Let u(i) = -i**3 - 2*i**2 - 4*i - 2. What is the least common multiple of f(-5) and u(-2)?
66
Let g = -12304 + 270641/22. Find the common denominator of -99/4 and g.
44
Let q(x) = x**2 + 7*x - 8. Calculate the lowest common multiple of q(-9) and 9.
90
Let f(r) = 14*r**2 + 4. Calculate the lowest common multiple of 9 and f(2).
180
Find the common denominator of 2/9 - (-669)/(-54) and 2*((-6)/(-15))/2.
30
Let n = 72 - 54. What is the lowest common multiple of 6 and n?
18
Calculate the common denominator of 99/10 and ((-195)/66 - 1) + 2.
110
Let c = -132379/18 - -7357. Suppose -2*w = -5*w - 66. Calculate the common denominator of 1/2 - w/(-1) and c.
18
Let j = 227/16 + -99/8. Let l = -407/48 + j. Find the common denominator of -37/15 and l.
15
Let n be 6/(-75)*-5*-10. Suppose -3*m - 3*o = 33, 3*m + 0*o + 27 = 3*o. Let c = n - m. What is the smallest common multiple of 6 and c?
6
Find the common denominator of ((-279)/30)/((-16)/(-10)) and 43/22.
176
Find the common denominator of -5 + 5 + 13/2 and -54/7.
14
Let t = 31/45 - -3397/360. Calculate the common denominator of t and 45/8.
8
Let t(v) = 11*v**2 - 2*v - 2. Calculate the least common multiple of t(-1) and 9.
99
Let h(k) = -5*k - 1 + 0*k - 2. What is the least common multiple of (-1 - 0)*1 - -27 and h(-3)?
156
Let h be (-3 - 0)/((-5)/(-20)). Let m be ((-142)/4)/((-3)/h). Calculate the smallest common multiple of 12 and (-6)/21 - m/7.
60
Suppose 2*d - 5 = 13. Calculate the lowest common multiple of 1 and d.
9
Let f be (-1)/3*-3 - -2. Suppose 4*z - f = 77. What is the lowest common multiple of z and 22?
220
Let y be 12/1*(-21)/(-6). Find the common denominator of (44/y)/((-24)/(-14)) and -9/2.
18
Let r be (-2)/5*15/(-3). Let y(j) = j + 7*j**r + j + 2*j**2 - 1 - 4*j**2. What is the least common multiple of 8 and y(1)?
24
Let n = 47635/2343 - -2/781. Find the common denominator of n and 55/58.
174
Let n = 177549/171127376 + -6/52687. Let l = -2055/406 - n. Let s = 1239/34 + 1/17. What is the common denominator of s and l?
16
Let y = -1971/2 - -1034. What is the common denominator of y and 75/14?
14
Let l = -1/26032089590 - -2933712368452987/477610747707730. Let f = -1/2621 - l. Calculate the common denominator of 2/9 and f.
63
Let u(g) = -g**2 + 13*g + 6. What is the least common multiple of u(13) and 2?
6
Suppose -l + 5*l = -136. Let q = -22 - l. Let k = 4 + q. Calculate the smallest common multiple of 14 and k.
112
Let u = -32684855/6066336 + -5/209184. Let c = 4/29 + u. Find the common denominator of -111/22 and c.
44
Let n be -7 + 9 - (-56639)/(-14). Let y = -4046 - n. Calculate the common denominator of 5/6 and y.
42
Calculate the lowest common multiple of 22/4 - 3/(-6) and 0/2 + (-1 - -3).
6
Suppose -7*r + 168 = -0*r. What is the smallest common multiple of r and 3?
24
Suppose 0 = -3*k + 62 + 4. Suppose -3*f + 4 = -2. Suppose -18 = -f*l - 6. Calculate the least common multiple of l and k.
66
Suppose -36 = 10*f - 19*f. What is the smallest common multiple of 22 and f?
44
Let g be (-3)/2*56/21. Find the common denominator of (414/(-60))/(g/5) and 53/22.
88
Let j be (-128167859)/(-20) + 1/(-2). Let y = 6404394 - j. Let g = 3995 + y. Find the common denominator of 13/10 and g.
20
Let i = 3 + -1. Suppose i*p + 0*p = 24. What is the least common multiple of p and 18?
36
Let u = 15520/7 + -2221. Let r = u + 248/77. Let l = -4132 - -45486/11. What is the common denominator of r and l?
11
Suppose -2*a + 18 = w - 8, 4*a + 3*w - 56 = 0. Suppose a*c = 7*c + 16. Calculate the lowest common multiple of 6 and c.
12
Find the common denominator of 171/860 + ((-3)/5 - -1) and -9/20.
860
Suppose 2*i + 2046 = -2*d, -2*d + 4*d - 2*i = -2038. Let c = d - -11193/11. What is the common denominator of -47/11 and c?
11
Let o = -1/1442 - -876/721. Calculate the common denominator of o and 73/14.
14
Let k be ((-39)/(-6))/((-2)/(-92)). Calculate the common denominator of 12/(-30) - k/(-60) and 5/22.
132
Suppose 160 = 4*l + l. Suppose l = -2*i + 4*i. Let w = -1018 + 1028. What is the smallest common multiple of w and i?
80
Let w = -158765/18 + 8825. Let o = -2 + 1. What is the common denominator of o + (-2)/(-16) + -2 and w?
72
Suppose 2*c = -0*c + 8. Suppose -2*j + 0*j + 2 = 0, -c*j - 1 = 5*r. Let h(t) = -8*t**3 + 2*t**2 + 2*t + 1. What is the smallest common multiple of h(r) and 4?
36
Let h be (6/(-2408))/(135/(-104022)). Let m = -6/301 + h. Find the common denominator of 44/3 and m.
30
Let x = 2046/17 + -45607/374. Find the common denominator of -30/11 and x.
22
Suppose 0 = -k - 5*b + 23, -3*k - 14 = -k - 5*b. Suppose -k*x - x = 0. Suppose 3*n - n - 4 = x. What is the lowest common multiple of 8 and n?
8
Let y = 13 + -11. Calculate the smallest common multiple of y and 6.
6
Suppose 12 = 3*v, -2*z + 82 = 3*z - 2*v. Calculate the least common multiple of z and 3.
18
Suppose 3*s - 35 = 34. Let k = s - 13. What is the common denominator of 103/22 and ((-102)/k)/(24/30)?
44
What is the lowest common multiple of (1/3 - (-266)/(-6))/(-2) and 16?
176
Let p = 1 + 0. Calculate the least common multiple of 10 and -5*(3/(-5) - p).
40
Let r(d) be the third derivative of d**4/24 + d**2. Calculate the least common multiple of r(6) and 20.
60
Let a be ((-30)/7)/((-12)/56). Calculate the common denominator of -139/18 and 4/(-4) - (-262)/a.
90
Suppose -3*t = t - 8. Let q be (-4)/(6/3) - -2. Suppose -25 = -3*c - 0*x + x, q = -t*c + 4*x + 10. Calculate the smallest common multiple of 6 and c.
18
Suppose 0 = -v - 3*j + 10, 4*j + 2 - 16 = -2*v. Let s(r) = -6*r**3 - 2*r**2 - r. Let h = 3 - 4. What is the smallest common multiple of s(h) and v?
5
Suppose -10*q = -11*q - 45. Find the common denominator of (10/3)/((-48)/153) and q.
8
What i | {
"pile_set_name": "DM Mathematics"
} |
0.5?
-2/13
What is the fourth biggest value in 0, 0.1, 11, 5/4?
0
Which is the smallest value? (a) -19 (b) -13/2 (c) 10
a
Which is the biggest value? (a) -1/2 (b) -0.4 (c) 4/2719
c
What is the third smallest value in -1/6, -5, -3/29?
-3/29
What is the biggest value in -3, -2.9, -5, -7/2?
-2.9
Which is the second biggest value? (a) -127.6 (b) -2/3 (c) -5 (d) 0.4
b
Which is the third biggest value? (a) -3/14 (b) 0.5 (c) -1/83
a
What is the biggest value in -0.1, -9, 11/5?
11/5
Which is the biggest value? (a) -0.17 (b) 0.2 (c) -2/3
b
Which is the third smallest value? (a) 0.1 (b) -284 (c) 1/4
c
Which is the fifth biggest value? (a) 3/4 (b) -2/13 (c) 1 (d) -19 (e) -5
d
What is the fifth smallest value in -2/3, -0.5, 4, 3, -77?
4
Which is the fifth smallest value? (a) 3/7 (b) -1/4 (c) 4/13 (d) -0.5 (e) 1/2
e
Which is the third smallest value? (a) 0.2 (b) 5.2 (c) -6
b
What is the second biggest value in 10, 4, 1, 1/5, 3?
4
What is the fourth smallest value in 1/3, 0.4, 0, -1/5?
0.4
What is the fifth biggest value in 1, -6, 3/8, 5, -3?
-6
What is the biggest value in -0.054, 1/3, 1?
1
What is the second smallest value in -2/5, 0, 0.4, 70?
0
What is the second smallest value in -8, -2/3, 0.234?
-2/3
Which is the second biggest value? (a) -5 (b) -3 (c) -1/3
b
Which is the third biggest value? (a) -1/2 (b) 3 (c) -0.093 (d) -0.3 (e) -0.2
e
Which is the smallest value? (a) 2 (b) -4/3 (c) -5/3
c
What is the biggest value in 81, -2, 3?
81
What is the smallest value in -5, 2.9, 2/3?
-5
What is the fourth biggest value in -1, 0.9, -2, -0.5, -6/7?
-1
What is the smallest value in 1, 1.3, 2/13, -1/6?
-1/6
Which is the smallest value? (a) 0 (b) 2/13 (c) -0.5 (d) 5 (e) 0.01
c
What is the fourth biggest value in 0.03, -5/2, -0.12, 4?
-5/2
What is the third biggest value in 0.2, -4/3, -0.5?
-4/3
What is the smallest value in 5/4, 0.1, -2/33, -2/5, -3?
-3
What is the second biggest value in -1, -20, -4?
-4
Which is the biggest value? (a) 17 (b) -4/9 (c) 2 (d) 0
a
What is the biggest value in -0.2, -0.8, -2/3, 2?
2
What is the biggest value in -1/4, -4/7, 3/163, 5/3?
5/3
Which is the biggest value? (a) 5/3 (b) -0.5 (c) -1151
a
What is the third biggest value in 82, -3, -0.3, -2/3?
-2/3
Which is the third biggest value? (a) 7 (b) 4 (c) 1/7
c
What is the fifth biggest value in -6, -4, -3, -2/7, 11?
-6
Which is the second smallest value? (a) -2/5 (b) 4 (c) 4.5 (d) -4
a
Which is the biggest value? (a) -255 (b) 2 (c) -3
b
Which is the third biggest value? (a) 2 (b) 3/2 (c) 0.18 (d) 0.07
c
What is the third smallest value in 0, -145, 0.5?
0.5
What is the third biggest value in -6/5, 4, 2/3?
-6/5
Which is the smallest value? (a) -1/30 (b) 2 (c) -1/3
c
What is the third smallest value in 2.1, 1/4, -5, 0?
1/4
Which is the smallest value? (a) -0.5 (b) 2/13 (c) -3 (d) 0.1 (e) 0.168
c
What is the second biggest value in 3, 403/5, -0.2, 5?
5
What is the second smallest value in -3, -8, -22/3?
-22/3
What is the fifth biggest value in 0.3, -2/13, -4, -6, 8?
-6
Which is the smallest value? (a) 0.2 (b) 5 (c) -24
c
What is the fourth smallest value in -1, 7, -31, 5?
7
What is the third biggest value in 4, -4, 183, -2/9, 2/9?
2/9
What is the third smallest value in -2/7, 2, -0.05, -3?
-0.05
What is the biggest value in 2/7, -0.128, 0.5?
0.5
Which is the third biggest value? (a) 3/2 (b) 8 (c) 75
a
Which is the smallest value? (a) -2 (b) 228 (c) 0.2
a
Which is the fourth smallest value? (a) 0 (b) -0.5 (c) 0.5 (d) 415
d
Which is the second biggest value? (a) 18 (b) 1 (c) -4
b
What is the second biggest value in -4, -5, 2/3, 3/7, 106?
2/3
Which is the third biggest value? (a) 2 (b) -1/5 (c) -3/7 (d) 3 (e) -0.3
b
Which is the second smallest value? (a) -1/4 (b) -3/10 (c) 0.2 (d) 5 (e) 3/2
a
Which is the third smallest value? (a) -4 (b) -2/5 (c) 5 (d) 4 (e) 2
e
Which is the third smallest value? (a) -2/5 (b) 0.1 (c) 5
c
Which is the third biggest value? (a) 0.1 (b) -24 (c) 2/25 (d) -0.4
d
What is the smallest value in -1, 5, -4, 4?
-4
Which is the second biggest value? (a) -59 (b) -1 (c) 1/4 (d) 3/8
c
What is the smallest value in 0.6, 8/3, 2, -0.2?
-0.2
Which is the third biggest value? (a) 1/2 (b) -3 (c) 36 (d) 0.2
d
Which is the second smallest value? (a) -77 (b) -0.4 (c) 0 (d) -2 (e) -1
d
Which is the biggest value? (a) -0.3 (b) -3 (c) -1.3 (d) -2/9 (e) -2/5
d
Which is the fourth smallest value? (a) 5 (b) -4 (c) -0.14 (d) 0.3
a
What is the second biggest value in -0.04, 0.03, -10, -0.13?
-0.04
Which is the fourth biggest value? (a) -4 (b) 0.076 (c) -0.5 (d) 2
a
What is the second biggest value in 0.3, 8/47, 2/9?
2/9
Which is the smallest value? (a) -1 (b) 2 (c) -0.4 (d) 6 (e) 3
a
What is the smallest value in -1/5, 2, -2, -5, 78?
-5
Which is the fourth smallest value? (a) -2 (b) 1 (c) -4 (d) -6/7 (e) -3.32
d
Which is the smallest value? (a) -3 (b) 0.2 (c) -0.6 (d) -2
a
Which is the biggest value? (a) 327 (b) 5 (c) 2/3
a
Which is the third smallest value? (a) 4 (b) -3 (c) 8 (d) 1 (e) 0.5
d
What is the fourth smallest value in -5, -0.6, 1/4, -12, -0.1?
-0.1
Which is the third smallest value? (a) -2/13 (b) -0.1 (c) 2 (d) 3/4
d
What is the third smallest value in -6, 0.2, -4, -3/8?
-3/8
Which is the second smallest value? (a) 6 (b) -3/65 (c) 4
c
What is the second biggest value in 0.3, -35, 2, -4?
0.3
What is the smallest value in 0.3, -3/2, 1/2, 3/5?
-3/2
Which is the third smallest value? (a) -878 (b) -6 (c) 5
c
What is the second biggest value in -3, -2/7, 0.05, -1/5?
-1/5
What is the third biggest value in -2/11, 5, 6, 2?
2
What is the third biggest value in -27/2, 5, 0.4?
-27/2
Which is the fourth smallest value? (a) 5 (b) 3 (c) 1 (d) -5
a
Which is the second smallest value? (a) -5/2 (b) -29 (c) 1 (d) -1
a
Which is the third biggest value? (a) -3/2 (b) -1/3 (c) -6 (d) -0.6
a
Which is the third smallest value? (a) -2/5 (b) 2 (c) 7/6 (d) -1/4 (e) -3/4
d
What is the third biggest value in -18, -0.5, 1, -2/5?
-0.5
What is the fourth smallest value in -2/11, -2/15, 20, 2?
20
What is the smallest value in -84, -5, -1, -1/3?
-84
Which is the third smallest value? (a) 1/7 (b) 0.04 (c) 0
a
Which is the third biggest value? (a) -0.3 (b) -1.66 (c) -3
c
What is the fourth biggest value in 3, 5, 194, -2/11?
-2/11
What is the third biggest value in 15, -1, -0.38?
-1
Which is the third smallest value? (a) -5 (b) -1/19 (c) 0.5 (d) 0.01
d
What is the second biggest value in -0.5, -67, 3?
-0.5
What is the fifth smallest value in 4, -0.1, 2, -22, -0.5?
4
Which is the third biggest value? (a) 1.4 (b) 1/3 (c) 32 (d) -4
b
What is the biggest value in -1580/7, 2/11, -4, -2/5, 0.1?
2/11
What is the biggest value in -2/3, 0, 2/9?
2/9
Which is the third smallest value? (a) 0.5 (b) -0.0532 (c) 0.01 (d) 2/7
d
What is the second biggest value in -10, -1/8, 33, -4?
-1/8
Which is the smallest value? (a) 4/3 (b) 4 (c) 2/19 (d) 0.11
c
What is the biggest value in -0.2, -2/3, 14, 0.3?
14
Which is the fourth smallest value? (a) -35 (b) 2/11 (c) -0.4 (d) 5 (e) -2/3
b
What is the smallest value in -22.8, 0, 1?
-22.8
What is the second smallest value in -0.5, -0.07, -3/8, 0.3?
-3/8
Which is the third biggest value? (a) -2/9 (b) -0.01 (c) -4
c
What is the smallest value in 0.004, -24, 0.1?
-24
Which is the second biggest value? (a) -1/6 (b) 33/7 (c) -0.5
a
Which is the fourth biggest value? (a) -0.9 (b) -0.5 (c) -8 (d) 0 (e) 0.5
a
What is the smallest value in 0, -0.1, 1/6, -0.288, 2?
-0.288
What is the fourth biggest value in -1/2, -19, -1/7, -3?
-19
What is the third biggest value in -14/5, -3, 2/9?
-3
Which is the second biggest value? (a) -35 (b) 0.2 (c) -4
c
What is the second smallest value in -0.039, 5, 3?
3
What is the fifth biggest value in -0.3, 3/10, -1, 2, 1/5?
-1
What is the fourth smallest value in 4, 4/5, 0, -0.5?
4
Which is the third smallest value? (a) 124/3 (b) -1 (c) 1 (d) 3 (e) -3/2
c
What is the biggest value in 1/4, 42, 0.5, -3/10?
42
What is the third biggest value in -1, 27, 11.3?
-1
Which is the smallest value? (a) 0 (b) 5104 (c) -1/5
c
What is the smallest va | {
"pile_set_name": "DM Mathematics"
} |
. What is the highest common factor of 9 and f?
3
Suppose -2*o = o - 1296. Suppose -14*f = -2*f - o. Calculate the greatest common divisor of 54 and f.
18
Let s(d) = -3*d**2 - 4*d - 2. Let j be s(-2). Let u be (-106)/j + 2/(-3). Let l = -3470 + 3555. What is the greatest common factor of u and l?
17
Let r = 17 + 19. Let h(t) = -23*t + 1. Let l be h(-1). Calculate the greatest common divisor of r and l.
12
Let i be 10 - ((-68)/(-14) - 2/(-14)). Let v be (-5 - 1)/3 + 17. What is the highest common factor of v and i?
5
Let f = 650 - -598. Let v = f + -872. What is the greatest common factor of v and 47?
47
Let w be (-3696)/(-16) - (-1)/(0 + 1). Let t be 1/4 - 1150/(-40). What is the greatest common factor of w and t?
29
Let m(i) = 4*i - 4. Let d be m(-4). Let r be 1/(-4) - 25/d. Let v be ((-48)/(-20))/(r/5). Calculate the highest common divisor of 30 and v.
6
Let a = 26 + -15. Suppose -4*m - t = -0*t + 57, -2*m = -t + 27. Let g = a - m. What is the highest common factor of 275 and g?
25
Let y(f) = -f**3 + 11*f**2 + 16*f + 12. Let h be y(12). What is the highest common divisor of 140 and h?
20
Suppose -1758 = -7*v + 979. What is the greatest common factor of v and 23?
23
Suppose 15*g + 10912 - 34852 = 0. What is the greatest common divisor of g and 12?
12
Let n = 12 - 7. Suppose -3*f + 4*f = 4. Suppose -3*l = -4*i - 16 + f, 3*i + 20 = n*l. What is the highest common divisor of 44 and l?
4
Let m(j) = -j**3 - j**2 + 5*j - 1. Let c be m(-2). Let h(f) = -46*f + 47. Let p be h(c). What is the highest common factor of 41 and p?
41
Suppose -2*h - h + 3*b + 111 = 0, 0 = -3*h + 4*b + 108. What is the greatest common factor of 180 and h?
20
Let o = 195 - 189. Let b be 10 + 0/2 - -2. What is the greatest common divisor of o and b?
6
Let t = -2082 + 3479. Calculate the highest common factor of 11 and t.
11
Suppose -y = -6*d + 3*d + 309, -90 = -d - 4*y. Let c be (-310)/(-18) + 8/(-36). Calculate the greatest common divisor of d and c.
17
Let s(a) = 106 + 74 + 2*a - 133 + 6*a. Let i be s(6). What is the highest common factor of i and 38?
19
Suppose -g + 268 = 3*x, 33 = -3*x + 3*g + 285. Suppose -4*y + x = -0*y. Suppose -458*n - 396 = -243*n - 227*n. Calculate the highest common divisor of n and y.
11
Let p = -77 + 62. Let k = p + 37. Calculate the greatest common factor of 22 and k.
22
Suppose -5*v + 416 = -u, 5*v - 1533*u = -1530*u + 408. Let b be 22 + (0 - -1)/(-1). Calculate the highest common divisor of v and b.
21
Let p(a) = 4*a**2 + a - 1. Let x(n) = -n + 2. Let r be x(4). Let m = r + 5. Let i be p(m). Calculate the highest common factor of i and 57.
19
Let r = 2 - -4. Suppose 0 = 3*t + r, 2*t + 87 = 4*k - 61. Calculate the greatest common factor of k and 54.
18
Let y(g) = g**3 - 3*g**2 + g - 1. Let b be y(2). Let q be ((-30)/(-4))/(b/(-6)). Let i = -301 + 311. What is the greatest common factor of q and i?
5
Let w be 22 + ((-26)/(-6) + -3)*-3. Suppose -7*j = -w*j + 352. Calculate the greatest common divisor of j and 16.
16
Let c = 70 - 47. Let v(q) = 3*q**3 + q**2 - 1. Let z be v(1). Suppose o = -5*i + 233, 3*o - i + z*i = 751. What is the greatest common divisor of o and c?
23
Let o = 181 - 121. What is the highest common factor of 132 and o?
12
Let z = 1655 - 1598. Calculate the greatest common divisor of z and 532.
19
Suppose -5*q + 4*h - 101 = 62, 0 = -5*h - 15. Let c = -83 + q. Let v = c + 202. What is the highest common divisor of v and 12?
12
Suppose -5*l = -9*o + 4*o + 180, 0 = 5*l + 4*o + 144. Suppose -124*b + 123*b = 48. Let r = l - b. What is the greatest common factor of r and 128?
16
Suppose -y + 3*z + 2 = 0, -5*y - 2*z = -6 - 72. Let n = y - 6. Let b = 160 - 112. What is the greatest common factor of n and b?
8
Suppose -7*s = -0*s + 210. Let k = s + 63. What is the highest common divisor of k and 22?
11
Let m = -664 - -822. Calculate the highest common factor of 2 and m.
2
Let t = 6 - 10. Let a be 6/t + (-2)/(-4). Let g be 1 + 0 - 31/a. Calculate the greatest common divisor of g and 32.
32
Let f(k) = -k**2 - 6*k - 3. Let b be f(-5). Let q = -37 + 65. Let j = 38 - q. What is the highest common divisor of j and b?
2
Suppose 0 = -2*b + 3*y + 19, 4*y + 20 = 0. Suppose -b*j = 2*c - 342, j = -2*j + c + 501. Calculate the highest common factor of 24 and j.
24
Suppose -26*t + 42 = -20*t. What is the highest common divisor of 77 and t?
7
Let s(j) = j**2 - 6*j + 12. Let v be s(4). Suppose 5*r + x - 49 = 2*r, v*r - 64 = -x. Calculate the greatest common divisor of 60 and r.
15
Let p be 136/10 + ((-16)/(-20))/2. Let i(q) = 5*q**3 - 4*q**2 + 4*q - 4. Let s be i(2). What is the greatest common divisor of s and p?
14
Let g(t) = 37*t + 44. Let n be g(2). What is the greatest common divisor of 2 and n?
2
Suppose -5*q - y = -71, -6*y + y + 5 = 0. Calculate the greatest common factor of q and 1694.
14
Let w be (-4 - -9 - -63) + -8. What is the highest common factor of 940 and w?
20
Suppose -3*n - 31 - 29 = 0. Let w = -15 - n. What is the greatest common factor of w and 55?
5
Let r be ((-64)/(-10) - 6)/(2/3180). Calculate the highest common factor of r and 12.
12
Suppose d = -3*n + 65, n + 3*d = 3 + 8. Let y = -1642 - -1665. What is the highest common divisor of n and y?
23
Let y be 32 + -24 - 2*2. Suppose y*r = -2*r + 378. Calculate the greatest common divisor of 42 and r.
21
Suppose 3*y = -0*m - 5*m - 235, -2*y = -3*m - 160. Let l = 127 + m. Let h(s) = -48*s - 85. Let n be h(-2). What is the highest common divisor of l and n?
11
Suppose -5*o + 4*h + 113 = 0, -o = -6*o - 3*h + 134. Suppose -o*i = -13*i - 480. What is the greatest common factor of i and 16?
8
Suppose 664*m - 728 = 656*m. Calculate the highest common divisor of m and 234.
13
Suppose 8 = 3*v + v. Suppose 0 = 5*l - h - 717, 0*l + 282 = 2*l - v*h. Suppose -32 = -d - d. What is the greatest common divisor of l and d?
16
Suppose -122*b - k + 556 = -117*b, 0 = 2*b - 2*k - 232. What is the highest common factor of b and 308?
28
Suppose 2*g = -5*o + 9 + 27, -3*o = 2*g - 28. Suppose -g*d = -2*d - 420. Let z = -11 - -21. Calculate the greatest common factor of z and d.
10
Let u = 2750 - 2050. What is the highest common factor of u and 420?
140
Let r = -11 + 10. Let k be ((-3)/5 - r)*20. What is the highest common factor of k and 1?
1
Let k(o) = o**2 + 8*o + 110. Let l be k(12). Calculate the greatest common divisor of 30 and l.
10
Let a(z) = 23*z - 10. Let c(w) = -w**2 - 4*w. Let j be c(-3). Let l be j + (-2)/2 + 3. Let f be a(l). What is the highest common divisor of f and 15?
15
Suppose -t + 29 = 2*s, -64 - 7 = -3*t - 2*s. Let c = 0 + -51. Let h = 93 + c. What is the greatest common divisor of t and h?
21
Let f = 24 - 19. Suppose -25 = -f*h, 0*s + h = 3*s - 25. Let m be 72/s*25/5. Calculate the greatest common divisor of 24 and m.
12
Let x(g) = 883*g - 3. Let v be x(1). Calculate the highest common factor of v and 55.
55
Let i be 1*5*30/(-50) - -8. What is the greatest common factor of i and 3?
1
Let k(w) = 2*w - 7. Let z be k(5). Let l be 8 - -1 - (-1 + z). Let i = 11 - l. Calculate the greatest common divisor of 32 and i.
4
Let v be ((-7)/(-4))/((-5)/60). Let r = v + 20. Let z = 10 + r. Calculate the greatest common divisor of 18 and z.
9
Let l(z) = -z + 21. Let h be l(0). Let p(y) = -y + 7. Let b be p(7). Suppose b = m - 7. Calculate the highest common factor of h and m.
7
Let z be (-20)/(-12)*(-12)/(-10). Let u be 3/(-2) - 1/z. Let h(c) = 89*c**2 + 3*c + 2. Let m be h(u). Calculate the highest common divisor of m and 32.
32
Suppose 11*a - 169 = 227. Calculate the greatest common factor of a and 936.
36
Let d = 1029 + -1001. Calculate the highest common factor of d and 8.
4
Let g(w) = 3*w**2 - 11*w + 8. Let f be g(7). Suppose 12*y - f = 15*y. Let v = y - -42. Calculate the highest common factor of 144 and v.
16
Let k = 238 + 34. Let i = -292 - -326. Calculate the greatest common divisor of k and i.
34
Let g = 24 - -15. Suppose 0 = -15*n + 12*n + g. What is the greatest common factor of n and 39?
13
Let v = 12 + -14. Let i(m) = -6*m. Let g be i(v). Calculate the highest common factor of 132 and g.
12
Let m be 4 - -336 - (13 - 6). Calculate the highest common factor of 37 and m.
37
Suppose -10*h + 2871 = 23*h. What is the highest common factor of 3 and h?
3
Let t(i) = 2*i**3 + 33*i**2 - 21*i - 47 | {
"pile_set_name": "DM Mathematics"
} |
ive o.
-8
Rearrange 3*q**2 + 19*q**4 - 9*q - 3 + 3*q**3 - q**3 + 48*q - 18*q**4 to the form b*q + o*q**2 + a + h*q**3 + u*q**4 and give b.
39
Rearrange 103 - 222 - 61 - 5*z**2 - 136 to c*z**2 + w + l*z and give c.
-5
Rearrange ((-r + 3 - 3)*(-r - 2*r + 5*r) + 2 + r**2 - 2)*(-10 + 7 + 80) + (r - 1 + 1)*(6 + r - 6) + 0*r + 0*r + r**2 to q*r**2 + a + k*r and give q.
-75
Express -5*a**4 + 3*a**2 - 20*a**3 - 33*a**2 + 35*a**2 + 4*a**2 - 1 - 10*a**2 in the form g*a**2 + j*a**4 + n*a**3 + l*a + d and give j.
-5
Rearrange -2*i**3 + 2*i**4 + i**2 - 14 - 19*i**4 - i + 16*i**4 to the form j*i**2 + s*i**4 + a*i + p*i**3 + t and give s.
-1
Express 2*r**2 + 2691*r - 1131*r - 4 - r**2 - 1312*r as x*r + l + v*r**2 and give v.
1
Express 257208*p + 54 - 54 - 238279*p as j*p + g and give j.
18929
Express 187*g + 502*g - 27*g + (2*g + 3*g - 3*g)*((-3 + 1 + 4)*(-4 + 1 + 1) + 2 + 2 - 3 + 0 + 4 + 1) in the form d*g + k and give d.
666
Express -119*x**2 + 2199*x - 121*x**2 + 439*x + 238*x**2 in the form u*x**2 + w + j*x and give j.
2638
Express (-3*z**2 + z**2 + 3*z**2)*(-2*z + 3*z - 2*z) - 1111*z**3 - 1088*z**3 + 2196*z**3 - 454 in the form f*z**2 + k*z**3 + m + h*z and give k.
-4
Express -4*o**3 + 3 + 85*o**2 + 3 - 10*o**3 - 54*o**2 - 35*o**2 + o in the form d*o**2 + b + x*o**3 + c*o and give c.
1
Express -3232*f**2 - 51*f**3 + 82*f**3 - 28*f**3 in the form j + k*f**3 + d*f**2 + s*f and give d.
-3232
Rearrange (82813 - 82813 - 173*x + (0 - 2 + 0)*(3*x - x - 3*x))*(-x + 3*x + 3*x) to p + z*x + r*x**2 and give r.
-855
Express 321 - 895 + 10158*q + 243 + 331 as k*q + f and give f.
0
Rearrange 4735*s - 1125*s + 4277*s + 42*s + 52*s to the form m*s + f and give m.
7981
Rearrange (-2*x + 0*x - 2*x + (-4*x + 6*x - x)*(1 + 1 - 1))*(32*x**3 - 126*x**3 - 162*x**3) to b + d*x**3 + t*x + j*x**2 + f*x**4 and give f.
768
Express 3*i - 8*i**3 - 277 + 11*i**2 - 16*i**2 + 279 in the form t*i**2 + u*i + b*i**3 + m and give u.
3
Express 5*r + 4*r**4 - 2784*r**2 + 2786*r**2 - 66*r in the form t*r**4 + z*r**3 + o + m*r + x*r**2 and give t.
4
Express 20875 - 4*j**4 - 21621 + j**3 - 2*j**4 as a*j + v + m*j**3 + s*j**4 + i*j**2 and give s.
-6
Express (134*r**3 - 19982*r + 19982*r)*(-1970 - 2*r + 3921 - 1993) in the form c*r**3 + p + a*r**4 + i*r + x*r**2 and give p.
0
Express -76541 - 76536 - 1067*h + 153082 in the form i*h + z and give i.
-1067
Express z - 2*z + 4497*z**3 - 2*z + 137*z**2 - 4494*z**3 as l*z**2 + x + b*z + i*z**3 and give b.
-3
Rearrange 1748*l**2 - 284*l**2 + 12 - 9 - 3 to r*l + v + d*l**2 and give d.
1464
Rearrange 8747*k**2 - 7576*k**2 + 10992*k**2 + k - k - 2*k**2 + (2*k**2 + 2*k**2 - 2*k**2)*(0 - 1 + 3) to the form n*k**2 + w + b*k and give n.
12165
Express -154 - 881 - 6*z + 9*z - 4*z in the form j*z + i and give j.
-1
Rearrange 180*z - 423*z**2 - 93*z - z**3 + 3*z**3 + 252*z + 426*z**2 + 1 to the form f + u*z**2 + i*z + d*z**3 and give u.
3
Rearrange -26*g**3 - 2*g**4 + 115*g + 42*g + 2*g**2 + 0 + 28*g**3 + 93*g - 1 to b + d*g**4 + s*g + k*g**3 + t*g**2 and give k.
2
Express -323*x + 2 + 972*x - 10*x**3 - 329*x - 2*x**4 - 323*x - 15*x**2 in the form c*x + y*x**4 + t*x**2 + p + r*x**3 and give p.
2
Express -119 + 10 - 19 + 3*h - 260 + 48 as o + y*h and give o.
-340
Express 104*r**2 - 3 - 124*r**2 - 246*r**2 + (-3*r - r**2 + 3*r)*(1 - 1 - 1) in the form f*r + a + m*r**2 and give a.
-3
Rearrange -i + 72638 - 72638 + 16255*i**2 to the form z + c*i**2 + y*i and give c.
16255
Rearrange 292*b**2 + 195 - 12*b + 12*b - 198 to the form a*b**2 + f + j*b and give a.
292
Rearrange (2256 - 2256 - 123*z)*(1 - 2*z - 1)*((13 + 8 - 8)*(4 + 2*z - 4) + 0*z - 1 + 0 - z) to the form r*z + b*z**3 + w*z**2 + u and give b.
6150
Rearrange -52 - 633 - 8730359*y + 8730363*y to u*y + d and give d.
-685
Express (426 - 53 - 84)*(89 - 16*x - 9*x - 88) as r*x + a and give r.
-7225
Rearrange (813*i + 5569*i + 1417*i)*(-2 + 2 - 1) to a + j*i and give j.
-7799
Rearrange 56*r**2 - 79*r**2 + 9264*r**3 + 58*r**2 - 9257*r**3 - 3*r + 501*r**2 to z*r + w + m*r**3 + s*r**2 and give m.
7
Express l**2 - 10*l**2 + 13*l**2 + 26*l - 3447 - 26*l as c*l + s + u*l**2 and give u.
4
Rearrange 103 - 13*f**3 - 1 - 97 - 4*f to the form h + j*f**2 + r*f**3 + z*f and give z.
-4
Rearrange 52572228 + 13*y**2 - 52572308 + 16*y**2 to the form b + c*y**2 + k*y and give c.
29
Express -3520450*h**3 + 3520430*h**3 + 0*h + 3*h**2 + 5*h as p*h + u*h**3 + l*h**2 + k and give k.
0
Rearrange (70*s - 122*s - 111*s)*(1 + 0 + 1) + 5*s - s - 2*s - 5*s + 22*s - s to d*s + r and give d.
-308
Express a - 4*a**3 - 38*a**2 + 5*a**3 - 354 + 177 + 7*a**2 + 165 in the form d*a + j + b*a**3 + y*a**2 and give y.
-31
Rearrange (3 - 5 - 1)*(-4*s + 2*s + 0*s) - 1179*s - 61*s - 620*s to the form o*s + q and give o.
-1854
Rearrange (0 - x + 0)*(6*x - 3*x - 25*x) - 3*x**2 + 3*x**2 + 2*x**2 + (x - 2*x - 2*x)*(x + 2*x + 2*x) to r*x**2 + f + p*x and give r.
9
Rearrange (-4548 + 4548 - 11161*p)*(-2*p + p + 6*p) to the form a*p**2 + u*p + x and give u.
0
Express 2*t**2 + 2*t**3 + 1031 + 2*t**2 - 177 - 2*t**2 in the form l + y*t**2 + h*t + r*t**3 and give r.
2
Rearrange 3 + 2*w + 2368*w**2 + 443*w**4 + 2*w**3 - 158*w**4 - 2370*w**2 to n*w**2 + i*w + g*w**3 + s + p*w**4 and give n.
-2
Rearrange (-2067 - 1888 - 2550)*(-y - y + 0*y) to f + m*y and give m.
13010
Express -630*f**2 - 184*f**2 + 700*f**3 - f**4 - 2*f - 699*f**3 in the form g*f**4 + d*f**3 + p*f + r + h*f**2 and give g.
-1
Rearrange -c**3 + 2*c - 143 + 68*c**2 - 2*c + 426 - 289 to b*c**3 + t + n*c + w*c**2 and give w.
68
Rearrange 20249*v**2 + 8*v**3 - 20248*v**2 + 2*v**4 + 2*v - 9*v**3 + (7*v**3 + 0*v**3 - 3*v**3)*(2 + v - 2) to h*v**4 + a*v**3 + k*v**2 + t*v + n and give h.
6
Rearrange 13*j**2 + 6*j - 14*j - 20 - 9*j**2 + 4*j**2 + 4*j to the form y + a*j + n*j**2 and give n.
8
Rearrange 2*s**3 - s**2 + 113*s - 7909 + 7907 + s**2 + 0*s**2 to the form p*s**2 + z*s**3 + g + i*s and give g.
-2
Rearrange -677*r**2 + 2858*r**2 + 6383*r**2 to f + d*r + t*r**2 and give t.
8564
Express -z**2 + 7*z**4 - 17 + 28240621*z - 28240621*z as y*z**3 + u + t*z + f*z**2 + n*z**4 and give n.
7
Express -t**2 - 17 + 16 - 1739*t**3 + 1735*t**3 + 5*t - 121*t in the form g*t**3 + v*t + f*t**2 + w and give w.
-1
Express 5741*c + 3221*c - 4946*c + 23624*c + (2 + 3 - 4)*(c + c - c) - 4*c + 4*c + c as r + u*c and give u.
27642
Express 105 + 97*m - 14*m - 83*m - 3*m**3 - 4*m**2 as l*m**3 + o + d*m**2 + p*m and give l.
-3
Express 293 - 292 - 5558*z**4 - 17*z**3 - 2*z**2 + 5564*z**4 in the form r*z + l*z**3 + i*z**2 + f + v*z**4 and give r.
0
Express -2203*d**4 - 407*d + 4367*d**4 + 2 - 2161*d**4 - d**2 as l + t*d**3 + i*d + a*d**2 + c*d**4 and give c.
3
Rearrange 138*v + 3007*v - 1478*v + 2202*v + 1913*v to the form k*v + h and give h.
0
Rearrange -38 + 63*q + 68*q - 259*q + 62*q + 65*q to s + j*q and give j.
-1
Express (1 - 2 + 0)*(14 - 12 + 188589*c - 190143*c) as v*c + p and give v.
1554
Rearrange -166*f - 2*f**3 + 168*f + 3*f**3 - 1112*f**2 + 2 to the form a + o*f**3 + n*f**2 + w*f and give n.
-1112
Express -271*p**2 + 15*p + 139*p**2 + 22 - 22*p + 129*p**2 in the form w*p**2 + h + b*p and give b.
-7
Express -347*y + 348*y - 2*y**2 + y**4 + 2*y**3 - 3 - 1 + 6 + 7*y**4 as k*y**3 + f*y + s + g*y**2 + z*y**4 and give z.
8
Rearrange w**2 + 122 - 31021*w**3 + 15508*w**3 - 5*w**2 + 15508*w**3 + w**2 to the form f*w**2 + g*w + n*w**3 + i and give f.
-3
Rearrange -9020*s - 1 - 60*s**2 - 9023*s + 18038*s to d + i*s + q*s**2 and give d.
-1
Rearrange (-348 + 121 + 23*b**2 - 18*b**2)*(-4*b**2 + 2*b**2 + 0*b**2) to m*b**3 + y*b + w*b**2 + n + x*b**4 and give w.
454
Rearrange 12*p**3 + 15 - 109*p - 9*p**3 + 93*p - 2*p**3 - 2*p**3 to v*p**2 + n + z*p + k*p**3 and give n.
15
Express 30*n - 387 + 13*n - 90*n + 41*n in the form o + a*n and give o.
-387
Express 5628*g**4 - 10*g + 5*g**3 - g**2 + 3 - 3*g**3 - 5622*g**4 in the form m*g**4 + k*g**3 + b + s*g**2 + o*g and give o.
-10
Rearrange -122*c**3 + 61*c**3 + 18*c**3 - c**2 + 2 to u*c**2 + x*c + w + p*c**3 and give p.
-43
Express (579 + 124 + 312)*(-20 + 20 - 8*b**2) as k*b**2 + q*b + c and give c.
0
Rearrange 488*i**3 + 483*i**3 - 8 + 1 + 3 - 977*i**3 + 18*i**2 to the form m*i**3 + n + s*i**2 + r*i and give r.
0
Express 6186*m + 3 - 7 - 6373*m as j + y*m and give y.
-187
Express (-3 - 2 | {
"pile_set_name": "DM Mathematics"
} |
5*w - 3*t - 1 = 0. Let n(y) be the second derivative of 0*y**3 + 1/6*y**4 + 0*y**w + 0 - 4*y. Let c(s) = -s**2. Calculate n(c(f)).
2*f**4
Suppose 30 + 12 = 2*q. Let a(z) = -43*z + z**2 + 22*z + q*z. Let t(w) = 10*w + 11. Let m(d) = -d - 1. Let l(r) = 22*m(r) + 2*t(r). What is l(a(o))?
-2*o**2
Let w(y) be the second derivative of y**3/2 - 67*y. Let c(u) be the second derivative of -2*u**3/3 + 3*u. What is w(c(d))?
-12*d
Let w(j) = 154*j**2. Let i(y) = 344*y**2 - 682*y**2 + 339*y**2. Give i(w(h)).
23716*h**4
Let b(j) = 8*j**2 - 4*j. Let u(x) = -2*x. Let l(m) = -b(m) + 2*u(m). Let o(d) = -9 - 4*d + 9. What is l(o(i))?
-128*i**2
Let y(g) = -29*g**2. Let p(h) = -47856*h. Give y(p(v)).
-66415705344*v**2
Let c(m) = -7*m + 37. Let u(l) = -l**2 + 31*l. What is c(u(b))?
7*b**2 - 217*b + 37
Let r(m) be the second derivative of m**3/3 + 17*m. Let x(o) be the third derivative of -5*o**4/4 - 18*o**2. What is x(r(v))?
-60*v
Let l(j) = -7*j**2 - 27*j. Let n(u) be the first derivative of -u**3 - 53. Determine l(n(o)).
-63*o**4 + 81*o**2
Let u(a) = -7*a + 52. Let d(f) = -14. Let m(h) = -4*d(h) - u(h). Let c(x) = 2*x. Give m(c(v)).
14*v + 4
Let i(h) be the first derivative of -17*h**3/3 - 21. Let m(d) be the third derivative of -d**5/20 + 2*d**2 - 20*d. Give i(m(v)).
-153*v**4
Let b(y) = -12*y + 2. Let u(p) = 25*p - 9. Let w(r) = -2*b(r) - u(r). Let c(k) be the second derivative of k**4/6 + k. What is w(c(d))?
-2*d**2 + 5
Let b(j) = -43*j. Let v(c) = 16*c. Let h(n) = -3*b(n) - 8*v(n). Let a(l) be the first derivative of 9*l**2/2 + 2. What is a(h(u))?
9*u
Let u = 26 + -26. Let g(n) be the third derivative of 0*n**3 - 1/15*n**5 + 0 - n**2 + u*n**4 + 0*n. Let v(m) = 2*m**2. Calculate g(v(o)).
-16*o**4
Let p(y) = 158*y. Let m(j) be the first derivative of -4*j**3/3 - 425. Calculate m(p(s)).
-99856*s**2
Let i(l) = 2 - 622*l - 2 + 628*l. Let k(p) = -6*p. Give k(i(x)).
-36*x
Let w(z) = -6382*z**2. Let t(q) = 155*q. Give w(t(r)).
-153327550*r**2
Let o(n) = 39*n - 7. Let i(a) = 13*a - 2. Let p(s) = -7*i(s) + 2*o(s). Let q = 11112 + -6627. Let b(y) = -q + y + 4485. Determine p(b(c)).
-13*c
Let z(s) = 10*s + 60. Let d(b) = -1476*b. What is d(z(i))?
-14760*i - 88560
Let a(d) = d + 1088. Let x(t) = 6*t - 3. Calculate x(a(b)).
6*b + 6525
Let v(j) = 11*j. Let z(q) = -393*q - 399*q + 794*q. Calculate z(v(c)).
22*c
Let m be 4/10 + 9/(45/8). Let k(j) = -m*j - 7*j + 0*j - 8*j. Let a(y) = -y**2. Calculate a(k(d)).
-289*d**2
Let x(o) be the first derivative of -2*o**3 + 179. Let i(w) = -30*w**2. What is i(x(l))?
-1080*l**4
Let u(w) = 45463*w. Let n(z) = -16*z**2 - z. Give n(u(i)).
-33070149904*i**2 - 45463*i
Let w(g) = -g**2 - 64*g**2 + 0*g**2 - 14*g**2. Let b(r) = r. Give w(b(l)).
-79*l**2
Let p(m) = -485*m. Let d(z) = z**2 + 386. Determine p(d(g)).
-485*g**2 - 187210
Let u(i) = 1276*i + 1. Let k(l) = 3292*l. Give u(k(d)).
4200592*d + 1
Let l(y) be the second derivative of y**5/4 - 6*y**2 + 14*y. Let p(c) be the first derivative of l(c). Let o(g) = 2*g. Calculate o(p(r)).
30*r**2
Let s(g) = 556*g**2 - 42. Let n(y) = 2*y**2. Give s(n(x)).
2224*x**4 - 42
Let t(p) = 97*p. Let f(o) = -41*o**2 - 6. Give t(f(a)).
-3977*a**2 - 582
Let s(i) = 9*i. Let n = -19 - -26. Let a(p) = 8*p - n*p + 0*p. Determine s(a(w)).
9*w
Let u(v) = -v. Let b(j) = 11450*j - 16. Determine u(b(l)).
-11450*l + 16
Let b(k) = -46 + 56 - 8*k**2 + 4*k**2. Let j(m) = m. Determine b(j(l)).
-4*l**2 + 10
Let w(n) be the third derivative of -7*n**5/10 - n**4/12 + 105*n**2. Let o(p) = p. What is w(o(g))?
-42*g**2 - 2*g
Let x(a) = -78*a. Let h(d) = -2*d**2 + 54*d + 26. Determine h(x(s)).
-12168*s**2 - 4212*s + 26
Suppose 7*z - 19 = 93. Let u(j) = 10 + 2*j**2 + z - 26. Let c(s) = -19*s. Give c(u(w)).
-38*w**2
Let i(o) = -15601*o**2. Let g(w) = -7*w. Give i(g(k)).
-764449*k**2
Let d(o) = 4*o**2. Let q(m) = -41173*m**2. What is d(q(p))?
6780863716*p**4
Let g(f) be the third derivative of 5*f**4/24 + f**2 + 12*f. Let i(n) = -14*n**2. Determine g(i(p)).
-70*p**2
Suppose -4*p = -7 - 5. Suppose -2*d + 8 = 3*m, -p*d + 2*d + 5*m = -4. Let l(f) = -f + d*f - f. Let c(n) = -n. Give c(l(k)).
-2*k
Let x(c) = 3*c**2 - 2*c + 4. Let a(p) = -2*p**2 + 3*p - 6. Let u(b) = 4*a(b) + 6*x(b). Let w(t) = 9*t. Calculate u(w(i)).
810*i**2
Let k(q) = q + 15. Let f(b) = 6*b + 33. Let a(w) = -w - 6. Let p(n) = 11*a(n) + 2*f(n). Calculate k(p(t)).
t + 15
Let m(k) be the third derivative of k**4/8 - 96*k**2. Let t(u) = 61*u**2. What is m(t(c))?
183*c**2
Let w(d) = 1411*d. Let s(j) = 100*j. Calculate w(s(b)).
141100*b
Let f(c) = 12*c. Let r(d) = 2*d - 4. Let b be 9/(-27) + 39/9. Let h(q) = 2*q - 5. Let a(u) = b*h(u) - 5*r(u). What is f(a(l))?
-24*l
Let h(d) = -9*d**2 + 1. Let v(u) = 439*u**2. What is v(h(p))?
35559*p**4 - 7902*p**2 + 439
Let a(d) = 5*d**2. Let i(v) = 224*v. Calculate a(i(s)).
250880*s**2
Let s(a) = -a - 49. Let r(o) = 5*o**2 - 3*o + 3. Let u(m) = 4*m**2 - 2*m + 2. Let t(c) = -2*r(c) + 3*u(c). What is s(t(g))?
-2*g**2 - 49
Suppose -a = 4*a - 4*s - 22, 3*a + 5*s = -9. Let k(m) be the third derivative of 1/6*m**5 + 0*m**4 + 2*m**a + 0*m + 0*m**3 + 0. Let o(y) = 2*y. Give o(k(i)).
20*i**2
Let l(a) = 12212*a + 12218*a - 24429*a. Let h(c) be the first derivative of c**5/40 - c**3/3 + 1. Let z(j) be the third derivative of h(j). Determine z(l(d)).
3*d
Let c = -268 + 270. Let w(z) be the first derivative of 3 + 0*z**c - 2/3*z**3 + 0*z. Let t(d) = -2*d**2. Determine t(w(h)).
-8*h**4
Suppose -a + 8 = 3. Suppose 11 = a*x - 64. Let o(q) = 3 - 4*q - 3 + x*q. Let n(b) = -2*b**2. What is n(o(f))?
-242*f**2
Let t(q) = -331*q. Let k(r) = 7936*r**2. Calculate k(t(o)).
869476096*o**2
Let j(i) = 16006*i + 1. Let o(s) = -4*s. What is j(o(c))?
-64024*c + 1
Suppose 2*t - 3*v = -8, -t - v - 1 = -7. Let y(k) = -6*k**2 + 29*k - k**t - 29*k. Let r(b) = -b**2. Give r(y(c)).
-49*c**4
Suppose v - 5*v = -j - 1, -j + 1 = -5*v. Let k(a) = a**3 + 8*a**2 - 9*a. Let b be k(j). Let f(c) = 4*c + b*c - 4*c + 3*c. Let p(y) = y**2. What is f(p(r))?
3*r**2
Let i(n) = -2*n - 3. Let o(u) = -2*u - 2. Let h(v) = -2*i(v) + 3*o(v). Let a(f) = -129*f - 2. Calculate h(a(b)).
258*b + 4
Let q(b) = 21*b. Let g(l) be the second derivative of 11*l**4/12 - 230*l. Give q(g(z)).
231*z**2
Let i(f) = 6*f**2 + 5*f + 5. Let w(c) = -7*c**2 - 4*c - 4. Let q = 0 - 4. Let t(x) = q*i(x) - 5*w(x). Let j(h) = -h. Determine j(t(o)).
-11*o**2
Suppose 4*g + 0*b + b - 5 = 0, 5*g - 3*b = 19. Let l(n) = -n**2 + 7*n**2 - 2*n**g - 7*n**2. Let m(j) = 5*j. Determine l(m(s)).
-75*s**2
Let n(q) = -q. Let g(h) = 1216055*h. What is n(g(f))?
-1216055*f
Let f(w) = 5*w**2 + 5*w**2 + 32 - 12*w**2 - 32. Let i(c) be the first derivative of -c**3/3 + 8*c**2 + 3. Give i(f(o)).
-4*o**4 - 32*o**2
Let i be (2/(-2))/((-1)/2). Let f(q) = -2*q**i + 0*q**2 + q**2. Let g(r) = -2*r**2 + 4*r**2 - 14*r**2 + 10*r**2. What is g(f(p))?
-2*p**4
Let n(v) = v + 30. Let c(j) be the third derivative of -j**4/24 + 22*j**2. What is n(c(k))?
-k + 30
Let h(i) = -3*i**2. Let k(d) = 7*d**2 - 5*d + 5. Let y(u) = -5 + 5*u + 3 + 7*u - 10 - 18*u**2. Let t(w) = -12*k(w) - 5*y(w). What is h(t(p))?
-108*p**4
Let j(h) = 5*h**2 + 5*h - 5. Let y(x) = 2*x**2 + 3*x - 3. Let q(i) = -3*j(i) + 5*y(i). Let l(t) = 4*t - 4*t - t. What is l(q(g))?
5*g**2
Let u(j) be the third derivative of -j**5/12 - 15*j**2. Let b(h) = -11*h**2 - 5*h**2 + 16*h**2 - 5*h**2. Determine b(u(p)).
-125*p**4
Let s(r) = -13*r**2 + 42*r + 7. Let v(m) = 4*m**2 - 12*m - 2. Let q(b) = 2*s(b) + 7*v(b). Let t(i) = 2*i - 170. Determine t(q(x)).
4*x**2 - 170
Let s(a) = 3*a. Let d(q) = 45*q**2 - 6*q + 8. Let x(k) = -44*k**2 + 5*k - 7. Let o(n) = 5*d(n) + 6*x(n). Determine s(o(f)).
-117*f**2 - 6
Let t be (-4)/4*(1 - 3). Let d(p) = 6*p**t - 8*p**2 + 5*p**2. Let i(c) = -11*c**2. Give i(d(h)).
-99*h**4
Let z(w) = -5*w - 27. Let a(n) = -24*n - 24*n + 89*n - 17*n - 23*n. Determine a(z(m)).
-5*m - 27
Let n(l) = -2*l**2. Let p(z) = 2*z + 12873. Give n(p(w)).
-8*w**2 - 102984*w - 331428258
Let h(j) be the second derivative of j**3/2 + 7*j + 8. Let a(p) = 81*p. Determine a(h(m)).
243*m
Let d(i) be the third derivative of i**4/24 - 345*i**2. Let w(b) be the second derivative of -b**3/3 + b. Determine w(d(t)).
-2*t
Let x(k) = -k. Let a(u) be the first derivative of 14*u**2 - 15*u + 13*u - 12 + 2*u. Give x(a(o)).
| {
"pile_set_name": "DM Mathematics"
} |
+ 0*g + 1/2*g**2 + 0 - 5/4*g**k = 0.
0, 2/3, 1
Let 181*m**4 - 183*m**4 + 0*m + 2*m - 2*m**2 + 0*m**2 - 4*m**2 + 6*m**3 = 0. What is m?
0, 1
Let s(p) be the third derivative of -p**5/12 + 145*p**4/2 - 25230*p**3 - 3*p**2 + 3. Determine y, given that s(y) = 0.
174
Let a = -249 + 4983/20. Let v(n) be the first derivative of 0*n - 3/8*n**4 + a*n**5 - 2 + 0*n**2 + 1/4*n**3. Suppose v(u) = 0. What is u?
0, 1
Let c(t) be the first derivative of -27*t**4/8 - t**3 + 27*t**2/4 + 3*t + 13. Factor c(l).
-3*(l - 1)*(l + 1)*(9*l + 2)/2
Let h(z) = -2*z. Let g(y) = y**2 + y + 6. Let j(u) = -g(u) - 3*h(u). Let j(d) = 0. Calculate d.
2, 3
Let v(s) be the third derivative of -s**8/2520 - s**7/840 + s**6/360 + s**5/180 - 5*s**3/3 - 22*s**2. Let o(k) be the first derivative of v(k). Factor o(h).
-h*(h - 1)*(h + 2)*(2*h + 1)/3
Let h(f) be the second derivative of 5*f**4/12 - 20*f**3/3 - 11*f. Factor h(l).
5*l*(l - 8)
Let l(c) = -c**5 - c**4 + c**3 - c + 1. Let y(q) = -8*q**5 - 2*q**4 + 18*q**3 - 4*q**2 - 20*q + 6. Let t(w) = 20*l(w) - 2*y(w). Factor t(f).
-4*(f - 1)*(f + 1)**3*(f + 2)
Let a(t) be the first derivative of t**5/35 + 5*t**4/14 + 25*t**3/21 - 180. Factor a(s).
s**2*(s + 5)**2/7
Let c be (5 - 3)*1 - 8. Let z be -2 + 3/(c/(-10)). Determine s so that 0 + 4*s**2 - 5/2*s**z - 2*s + 1/2*s**4 = 0.
0, 1, 2
Let s be (4/8*2)/((-2)/(-4)). Factor -h**2 + 3*h - 18 - 2*h**s + 12*h.
-3*(h - 3)*(h - 2)
Suppose 3*m = 3*v - 24, -5*m - 7 = 3*v + 9. Suppose -2*x = -2*d + d - 2, -v*x + 4 = -d. Factor 24*c**d + 12*c - 4*c - 28*c**2.
-4*c*(c - 2)
Let q(n) be the first derivative of 2*n**3/3 - 16*n**2 + 128*n + 53. Factor q(p).
2*(p - 8)**2
Let i(v) be the third derivative of -v**5/20 + 5*v**4 - 175*v**3/2 + 4*v**2 - 3. Factor i(k).
-3*(k - 35)*(k - 5)
Let o(y) = 37*y**2 - 11*y - 41. Let b(x) = -13*x**2 + 4*x + 14. Let r(a) = 17*b(a) + 6*o(a). Factor r(v).
(v - 2)*(v + 4)
Let v(k) be the first derivative of 3*k**4/32 - 5*k**3/8 + 3*k**2/2 - 3*k/2 + 64. Factor v(w).
3*(w - 2)**2*(w - 1)/8
Let v(g) be the second derivative of -g**6/15 + 8*g**5/5 - 23*g**4/3 - 48*g**3 - 81*g**2 - 90*g. Determine u, given that v(u) = 0.
-1, 9
Let k(b) be the first derivative of -12*b**2 + 3*b**5 + 12*b**3 - 23 + 0*b + 27/2*b**4. Factor k(v).
3*v*(v + 2)**2*(5*v - 2)
Let f(c) be the first derivative of 13*c**5/20 + 15*c**4/16 - 11*c**3/12 - 15*c**2/8 - c/2 + 10. What is z in f(z) = 0?
-1, -2/13, 1
Let u = 22721/160 - 142. Let i(a) be the third derivative of 1/12*a**3 - 1/32*a**4 + 0*a + u*a**6 - 1/840*a**7 + 0 - 1/240*a**5 + 5*a**2. What is n in i(n) = 0?
-1, 1, 2
Suppose 4*r + 5*p - 10 = -23, -3*r = -p - 14. Let d(b) be the first derivative of 1/14*b**4 + 2/35*b**5 + 3/7*b**2 + 5 - 10/21*b**r + 0*b. Factor d(y).
2*y*(y - 1)**2*(y + 3)/7
Let j(g) = -7*g**4 - 15*g**3 + 15*g**2 + 54*g + 31. Let w(k) = 2*k**4 + k - 1. Let a(f) = j(f) + w(f). Factor a(s).
-5*(s - 2)*(s + 1)**2*(s + 3)
Let h(m) = -m**3 + 5*m**2 - 6*m + 7. Let o be h(3). Factor -o*b**4 - 3*b**3 - b**3 + b**3 + 10*b**4.
3*b**3*(b - 1)
Let c(w) = 2*w**4 - 2*w**3 - 10*w**2 + 2*w + 2. Let d(t) = -3*t**4 + 3*t**3 + 23*t**2 - 3*t - 5. Let n(b) = -5*c(b) - 2*d(b). Find q such that n(q) = 0.
-1, 0, 1
Let y(s) be the second derivative of -1/70*s**7 + 1/10*s**4 - 1/50*s**6 - 3/10*s**2 + 3/50*s**5 + 0 - 1/10*s**3 + 6*s. Factor y(m).
-3*(m - 1)**2*(m + 1)**3/5
Let w = -993 + 993. Let x(j) be the first derivative of 2/3*j**2 + w*j + 23/12*j**4 - 7/15*j**5 + 6 - 20/9*j**3. Factor x(a).
-a*(a - 2)*(a - 1)*(7*a - 2)/3
Let c(n) be the second derivative of n**6/1620 - n**4/108 - 8*n**3/3 + 11*n. Let i(x) be the second derivative of c(x). Factor i(f).
2*(f - 1)*(f + 1)/9
Let z = -88 + 93. Let a(j) = j**3 + 48*j**2 + 121*j + 103. Let g(c) = -24*c**2 - 60*c - 51. Let r(t) = z*g(t) + 3*a(t). Factor r(k).
3*(k + 2)*(k + 3)**2
Let u = -38021/4 - -9506. Determine o, given that -u*o - 3/2 + 3/4*o**2 = 0.
-1, 2
What is h in -2/21*h**4 + 2/21*h**5 - 8/21*h**2 + 32/21*h + 0 - 8/7*h**3 = 0?
-2, 0, 1, 4
Let o(a) be the second derivative of a**6/1080 + a**5/180 + 7*a**3/6 + 45*a. Let q(h) be the second derivative of o(h). Determine m so that q(m) = 0.
-2, 0
Let g(x) = -x - 3. Let f be g(-6). Suppose -29 + 57 = 14*i. Factor -1/2*d + 1/2*d**f - 1/2*d**i + 1/2.
(d - 1)**2*(d + 1)/2
Let l(o) = 3*o**2 - 1. Let f be l(-1). Suppose -f*w = 2*w - 12, 3*w + 77 = 2*h. Find g such that -7*g**2 - 12*g**4 - 16 - 8*g**2 + h*g**2 - 4*g**3 + 4*g**5 = 0.
-1, 1, 2
Determine i, given that 33/2 - 101/4*i + 3/4*i**2 = 0.
2/3, 33
Let j(n) be the first derivative of 7/30*n**5 + 11/9*n**3 + 1/2*n + 13/12*n**2 + 1/36*n**6 + 3/4*n**4 + 2. Factor j(k).
(k + 1)**4*(k + 3)/6
Let a(h) be the third derivative of h**7/105 + h**6/10 - 7*h**5/30 + 130*h**2. Factor a(b).
2*b**2*(b - 1)*(b + 7)
Factor 3*s**3 + 16 - 40*s**3 - 340*s - 79 - 57 + 2*s**3 + 270*s**2.
-5*(s - 6)*(s - 2)*(7*s + 2)
What is a in -224*a**2 - 605*a**3 - 106*a**2 - 19*a - 26*a = 0?
-3/11, 0
Let g = -37 - -47. Suppose -s = -g*s. Factor s + 3/4*j**4 - 3/2*j**3 - 3*j - 21/4*j**2.
3*j*(j - 4)*(j + 1)**2/4
Suppose 4*v + 76 = -68. Let p be v/(-48) - 17/(-4). Factor -x**3 + x**p - 2*x**3 - x**3 + 3*x**5.
4*x**3*(x - 1)*(x + 1)
Let a(n) be the second derivative of 5*n**4/12 - 115*n**3/3 - 240*n**2 + 2*n + 40. Find l such that a(l) = 0.
-2, 48
Let m(n) be the first derivative of n**3 - 9*n**2 + 11. Suppose m(f) = 0. Calculate f.
0, 6
Let a(c) be the second derivative of 3*c**5/10 - 5*c**4/3 + 3*c**3 - 2*c**2 - 216*c. Solve a(t) = 0 for t.
1/3, 1, 2
Let c(a) be the first derivative of a**4/2 + 25*a**3/3 - 13*a**2/2 - 348. What is u in c(u) = 0?
-13, 0, 1/2
Suppose 4*l = 3*k + 5, -2*k = l + 3 - 7. Factor 4 - 3*f + 0*f - 3*f + 0*f + l*f**2.
2*(f - 2)*(f - 1)
Let d(g) = 77*g**4 + 33*g**3 - 90*g**2 - 33*g. Let j(w) = -39*w**4 - 16*w**3 + 45*w**2 + 16*w. Let k(y) = -6*d(y) - 13*j(y). Find l such that k(l) = 0.
-1, -2/9, 0, 1
Let n(a) be the third derivative of 0*a**3 + 0*a - 2/105*a**7 + 11*a**2 - 13/150*a**6 - 4/75*a**5 + 0 + 2/15*a**4. Suppose n(o) = 0. What is o?
-2, -1, 0, 2/5
Let p(d) = -d**2 - 5*d - 3. Let q be p(-3). Suppose 2*v**3 - 8*v**2 + 2*v**3 - v**q + v**3 = 0. What is v?
0, 2
Let o be 7 - 21/(-2 - (-1 + -4)). Find x, given that -1/11*x**3 + 0*x**2 + 4/11*x + o = 0.
-2, 0, 2
Let l(m) be the first derivative of -3/4*m**4 - 3/4*m**2 - 4/3*m**3 + 0*m**5 + 0*m + 1/12*m**6 + 35. Factor l(f).
f*(f - 3)*(f + 1)**3/2
Let t(p) be the third derivative of p**5/120 - 4*p**4 + 768*p**3 - 54*p**2 + 3. Let t(h) = 0. Calculate h.
96
Let u(q) be the third derivative of -q**5/270 - q**4/18 - 191*q**2. Find t such that u(t) = 0.
-6, 0
Suppose -2*g + 16 = 4*w - 0, -4*g = -4*w - 32. Find z, given that -12*z**4 + 8*z**2 + 6*z**3 + 3*z**5 + 6*z**3 - g*z**2 = 0.
0, 2
Let w(d) be the third derivative of -d**8/588 - 8*d**7/245 - 6*d**6/35 - 4*d**2. What is u in w(u) = 0?
-6, 0
Suppose -4*n - 300 = -312. Let s(m) be the second derivative of -18/5*m**5 + 0*m**2 - 20/3*m**4 - 3*m - 2/21*m**7 + 0 - 14/15*m**6 - 16/3*m**n. Factor s(q).
-4*q*(q + 1)*(q + 2)**3
Suppose 76*h = 17*h + 16 + 102. Determine a so that 0 - 2/11*a**4 - 6/11*a**h + 2/11*a + 6/11*a**3 = 0.
0, 1
Let d = 36 + -34. Factor -25*y**d - 49*y + 9*y + 169*y**5 + 355*y**3 + 1 - 5 - 455*y**4.
(y - 1)**3*(13*y + 2)**2
Let d = 446 - 891/2. Let i(f) be the first derivative of d*f + 7/8*f**2 - 1/3*f**3 - 3. Suppose i(k) = 0. What is k?
-1/4, 2
Let m(l) = -l**3 - 52*l**2 - 131*l + 157. Let k(z) = 3*z**3 + 110*z**2 + 263*z - 313. Let o(p) = 6*k(p) + 14*m(p). Determine v so that o(v) = 0.
-4, 1, 20
Let b = -11 - -12. Let -2*q - 5*q - 3*q**2 - b + 7 = 0. What is q?
-3, 2/3
Let q(w) be the first derivative of 2/3*w**6 + 8/3*w**3 + 15 - 12/5*w**5 + 2*w**4 - 6*w**2 + 4*w. Determine h, given that q(h) = 0.
-1, 1
Let y be 14/15 + 28/(-245)*105/90. Solve y*a**2 - 24/5 - 4*a = 0.
-1, 6
Let w(u) be the second derivative of u**4/15 - 5*u**3 - 117*u**2/5 - 269*u. Suppose w(q) = 0. Calculate q.
-3/2, 39
Let w = 31/48 + 5/48. Factor -3/4*z**5 + 9/4*z**3 + 3/2*z + w*z**4 + 0 - 15/4*z**2.
-3*z*(z - 1)**3*(z + 2)/4
Suppose -91 = -b + f - 93, 3*f = -5*b + 6. Factor 9/5 + b*r - 1/5*r**2.
-(r - 3)*(r + 3)/5
Solve 3*b**5 - 6*b**5 + 3*b**3 + 6*b**4 + 0*b**3 - 2 + 2 - 6*b**2 = 0.
-1, 0, 1, 2
Let p(b) be the third derivative of - | {
"pile_set_name": "DM Mathematics"
} |
141
List the prime factors of 614208.
2, 3, 7, 457
What are the prime factors of 5230234?
2, 2615117
What are the prime factors of 10260403?
29, 353807
What are the prime factors of 60088?
2, 7, 29, 37
List the prime factors of 356245.
5, 71249
List the prime factors of 3909993.
3, 1303331
What are the prime factors of 242022?
2, 3, 11, 19, 193
What are the prime factors of 6922121?
163, 42467
What are the prime factors of 25282249?
67, 377347
What are the prime factors of 2313962?
2, 7, 197, 839
What are the prime factors of 9333997?
19, 109, 4507
List the prime factors of 2371660.
2, 5, 118583
List the prime factors of 10240495.
5, 1097, 1867
List the prime factors of 4079139.
3, 37, 36749
List the prime factors of 827919.
3, 67, 1373
What are the prime factors of 571808?
2, 107, 167
List the prime factors of 214907.
7, 11, 2791
What are the prime factors of 5259847?
23, 61, 163
List the prime factors of 494444.
2, 71, 1741
What are the prime factors of 17372031?
3, 5790677
List the prime factors of 232186.
2, 17, 6829
List the prime factors of 643172.
2, 23, 6991
What are the prime factors of 22806287?
7, 3258041
List the prime factors of 805131.
3, 89459
List the prime factors of 567518.
2, 7, 5791
List the prime factors of 405919.
101, 4019
What are the prime factors of 6728973?
3, 757, 2963
What are the prime factors of 1431053?
13, 31, 53, 67
What are the prime factors of 25062254?
2, 7, 19, 94219
List the prime factors of 8790428.
2, 17, 257, 503
List the prime factors of 364774.
2, 182387
What are the prime factors of 453294?
2, 3, 25183
List the prime factors of 574643.
574643
List the prime factors of 664793.
664793
What are the prime factors of 55448?
2, 29, 239
List the prime factors of 1081589.
79, 13691
List the prime factors of 1914778.
2, 17, 199, 283
What are the prime factors of 506475?
3, 5, 2251
List the prime factors of 719513.
67, 10739
List the prime factors of 5183215.
5, 17, 211
What are the prime factors of 13953958?
2, 37, 101, 1867
What are the prime factors of 254514?
2, 3, 13, 251
What are the prime factors of 4115411?
17, 242083
List the prime factors of 2034095.
5, 7, 89, 653
What are the prime factors of 526014?
2, 3, 17, 191
What are the prime factors of 2578843?
47, 54869
What are the prime factors of 726455?
5, 23, 6317
List the prime factors of 21211191.
3, 2356799
List the prime factors of 412404.
2, 3, 34367
List the prime factors of 953046.
2, 3, 37, 53
What are the prime factors of 4783631?
4783631
What are the prime factors of 494756?
2, 179, 691
What are the prime factors of 16234029?
3, 7, 127, 2029
List the prime factors of 9714314.
2, 79, 61483
What are the prime factors of 114745?
5, 53, 433
List the prime factors of 2315235.
3, 5, 13, 31, 383
List the prime factors of 188741.
7, 59, 457
List the prime factors of 121905.
3, 5, 7, 43
List the prime factors of 124052.
2, 31013
What are the prime factors of 3478754?
2, 1739377
What are the prime factors of 3842?
2, 17, 113
What are the prime factors of 1084068?
2, 3, 30113
List the prime factors of 231570.
2, 3, 5, 31, 83
List the prime factors of 7964887.
7, 103, 11047
What are the prime factors of 4879262?
2, 71, 34361
What are the prime factors of 2924375?
5, 4679
List the prime factors of 857702.
2, 428851
What are the prime factors of 140158?
2, 70079
List the prime factors of 159715.
5, 17, 1879
List the prime factors of 6074613.
3, 674957
What are the prime factors of 145442?
2, 11, 601
List the prime factors of 1888781.
457, 4133
What are the prime factors of 2339083?
373, 6271
List the prime factors of 237342.
2, 3, 7, 5651
List the prime factors of 6100701.
3, 29, 70123
What are the prime factors of 9657023?
9657023
List the prime factors of 524259.
3, 19417
What are the prime factors of 615255?
3, 5, 41017
List the prime factors of 5601033.
3, 622337
What are the prime factors of 6674?
2, 47, 71
List the prime factors of 32107964.
2, 7, 1146713
What are the prime factors of 726096?
2, 3, 7, 2161
What are the prime factors of 310270?
2, 5, 19, 23, 71
List the prime factors of 16809492.
2, 3, 7, 83, 2411
What are the prime factors of 4692300?
2, 3, 5, 15641
List the prime factors of 428093.
428093
List the prime factors of 13675492.
2, 59, 57947
List the prime factors of 11153295.
3, 5, 27539
What are the prime factors of 682908?
2, 3, 56909
List the prime factors of 378201.
3, 126067
What are the prime factors of 9797374?
2, 4898687
List the prime factors of 43399.
43399
List the prime factors of 132252.
2, 3, 103, 107
List the prime factors of 16022149.
11, 13, 19, 5897
List the prime factors of 1316072.
2, 17, 9677
What are the prime factors of 1983808?
2, 139, 223
List the prime factors of 11513420.
2, 5, 17, 33863
List the prime factors of 43090.
2, 5, 31, 139
What are the prime factors of 7864612?
2, 7, 280879
List the prime factors of 170640.
2, 3, 5, 79
What are the prime factors of 13155752?
2, 19, 41, 2111
List the prime factors of 224928.
2, 3, 11, 71
List the prime factors of 863623.
211, 4093
What are the prime factors of 10552386?
2, 3, 13, 59, 2293
List the prime factors of 861910.
2, 5, 7, 1759
What are the prime factors of 3355316?
2, 31, 27059
List the prime factors of 4913560.
2, 5, 122839
What are the prime factors of 7105920?
2, 3, 5, 3701
What are the prime factors of 16054111?
1669, 9619
List the prime factors of 144160.
2, 5, 17, 53
List the prime factors of 119561.
13, 17, 541
List the prime factors of 3608927.
7, 31, 16631
What are the prime factors of 18654453?
3, 29, 71473
What are the prime factors of 61943?
7, 8849
What are the prime factors of 15795644?
2, 3948911
What are the prime factors of 333933?
3, 79, 1409
List the prime factors of 2575709.
1277, 2017
What are the prime factors of 527477?
173, 3049
List the prime factors of 5546356.
2, 109, 12721
List the prime factors of 210807.
3, 59, 397
What are the prime factors of 440970?
2, 3, 5, 14699
What are the prime factors of 60264?
2, 3, 31
List the prime factors of 1083005.
5, 7, 11, 29, 97
List the prime factors of 91319.
53, 1723
What are the prime factors of 253758?
2, 3, 42293
List the prime factors of 711480.
2, 3, 5, 7, 11
List the prime factors of 44440.
2, 5, 11, 101
What are the prime factors of 209487?
3, 69829
List the prime factors of 5909884.
2, 541, 2731
What are the prime factors of 2769472?
2, 109, 397
List the prime factors of 89016.
2, 3, 3709
List the prime factors of 452620.
2, 5, 7, 53, 61
List the prime factors of 3830108.
2, 659, 1453
List the prime factors of 33274751.
433, 76847
What are the prime factors of 15378687?
3, 569581
What are the prime factors of 7015681?
37, 189613
What are the prime factors of 11732776?
2, 11, 133327
What are the prime factors of 41640645?
3, 5, 97, 28619
What are the prime factors of 125777?
125777
List the prime factors of 451694.
2, 449, 503
List the prime factors of 1537269.
3, 107, 4789
List the prime factors of 5171886.
2, 3, 287327
What are the prime factors of 13856851?
113, 149, 823
What are the prime factors of 2438203?
2438203
List the prime factors of 1306880.
2, 5, 1021
What are the prime factors of 5354370?
2, 3, 5, 7, 2833
What are the prime factors of 105409?
23, 4583
List the prime factors of 966601.
251, 3851
What are the prime factors of 127912?
2, 59, 271
What are the prime factors of 148136?
2, 18517
List the prime factors of 3733762.
2, 131, 14251
List the prime factors of 14806786.
2, 47, 157519
List the prime factors of 620978.
2, 310489
What are the prime factors of 2771518?
2, 41, 73, 463
What are the prime factors of 495258?
2, 3, 197, 419
What are the prime factors of 3451820?
2, 5, 107, 1613
What are the prime factors of 7502?
2, 11, 31
List the prime factors of 36000962.
2, 197, 91373
List the prime factors of 1761172.
2, 7, 31, 2029
List the prime factors of 1772225.
5, 7, 13, 19, 41
List the prime factors of 300515.
5, 60103
List the prime factors of 419338.
2, 209669
List the prime factors of 1230618.
2, 3, 205103
What are the prime factors of 1112634?
2, 3, 61813
What are the prime factors of 8505152?
2, 132893
What are the prime factors of 3394319?
419, 8101
What are the prime factors of 31367167?
13, 43, 56113
List the prime factors of 121853.
121853
What are t | {
"pile_set_name": "DM Mathematics"
} |
the nearest to 0? (a) -7 (b) 12 (c) 5 (d) 0
d
What is the nearest to -0.1 in 21.7, -1/4, 14?
-1/4
Which is the closest to 4/3? (a) -2 (b) -1 (c) -1/8 (d) -0.5
c
Which is the closest to -0.1? (a) 4 (b) 7 (c) -0.5 (d) 15
c
What is the nearest to -1 in -2, 6.61, 1, 4?
-2
What is the closest to -2/19 in 1, -2/11, 3?
-2/11
What is the nearest to 3 in 1, 2, -2, 0.1?
2
Which is the nearest to 0.1? (a) -5/6 (b) 2/19 (c) 0.2 (d) 5
b
Which is the nearest to 1? (a) -2/17 (b) 2/7 (c) -2/7 (d) 2/13
b
Which is the nearest to 0.1? (a) 4/7 (b) -4 (c) -3/5
a
Which is the closest to -2? (a) -16 (b) 4/3 (c) -12/11
c
Which is the nearest to 0.49? (a) -2/3 (b) 2/3 (c) 3/5
c
What is the closest to -1/2 in 1, 0.02, -1?
-1
What is the closest to 2/5 in -3/7, 35/4, -2, 3?
-3/7
Which is the closest to 0? (a) 0.1 (b) -1 (c) -8 (d) -1/5
a
What is the closest to 1 in -0.02, 2/3, -0.06, -0.1?
2/3
What is the closest to 5 in -5/4, 2, -2/3, -4?
2
What is the nearest to -85 in -3, 2, -0.1?
-3
What is the closest to 1 in 0.2, 2, -1097?
0.2
Which is the closest to -0.2? (a) 0.8 (b) -3 (c) 0.3
c
What is the nearest to 2.9 in 1, -5, -0.5?
1
What is the closest to 2 in 2/15, 6, 3/7?
3/7
What is the closest to 3/4 in 3/4, -4, -16?
3/4
What is the nearest to -0.1 in 1/2, 13, -0.5?
-0.5
What is the nearest to 0.1 in -25/16, 0.5, 0.2, 9?
0.2
What is the closest to -0.2 in -3/5, 0, 3/2, -2.2?
0
Which is the closest to -1? (a) 2 (b) -19 (c) 1
c
What is the closest to 0 in 2/9, -1/7, -0.5, -5?
-1/7
Which is the nearest to -2/11? (a) -0.4 (b) -7 (c) -10 (d) 5
a
Which is the closest to 0.02? (a) 39 (b) 0.5 (c) 5
b
What is the closest to 2/27 in -1.3, 2, -3?
-1.3
Which is the closest to 0.3? (a) -44 (b) 0.2 (c) -0.5
b
What is the nearest to 1 in -3, 0, 2/47?
2/47
What is the closest to 3 in 7/6, -116, -1?
7/6
Which is the closest to 3? (a) -5 (b) 4/5 (c) -0.2
b
Which is the nearest to 0.2? (a) -0.2 (b) 1/3 (c) 2 (d) -16
b
Which is the closest to 2/5? (a) 4/7 (b) 1 (c) -0.1 (d) -1
a
Which is the closest to -1? (a) 2/9 (b) -1/2093 (c) -3
b
Which is the closest to 8/51? (a) -2 (b) -5 (c) 0.1 (d) 6
c
Which is the closest to 0? (a) -1 (b) -0.1 (c) -8/3 (d) 3/2
b
What is the closest to 2/7 in 2, 0.3, 59?
0.3
Which is the nearest to -17/3? (a) -3/11 (b) -3/5 (c) 3
b
What is the nearest to 0 in 2, -0.3, -2/11, 9?
-2/11
Which is the closest to -0.1? (a) 0.3 (b) -3/2 (c) -24 (d) 1/2
a
Which is the closest to -1/2? (a) -0.5 (b) -12 (c) -0.2
a
What is the closest to 0.3 in 11, 0.5, -0.03?
0.5
What is the closest to 1/3 in 1/5, -2, 1, -0.048?
1/5
What is the closest to 0 in 0.015, -0.5, -2/9, 3?
0.015
Which is the nearest to -0.08? (a) 5 (b) -2/3 (c) 2/5 (d) -0.3
d
Which is the closest to 2/3? (a) -5 (b) 4 (c) -1/12 (d) 3
c
Which is the nearest to 1? (a) -1.29 (b) -0.3 (c) 0.3
c
Which is the nearest to -1.1? (a) -3 (b) 0 (c) 2/21
b
Which is the nearest to 0.5? (a) -5/2 (b) 0.09 (c) 2
b
Which is the nearest to -0.1? (a) -1/3 (b) 0.2 (c) 0.1 (d) 19
c
What is the nearest to -25/6 in 0.4, 1/5, -1/2?
-1/2
Which is the closest to -2/7? (a) -4/5 (b) 53 (c) -6 (d) -0.6
d
What is the closest to 0.63 in 4/5, -4, 5, -0.2?
4/5
Which is the nearest to -2/9? (a) -4 (b) 0.5 (c) -21 (d) 3/2
b
What is the closest to 4 in 1, 2/15, 0.1?
1
What is the nearest to 468 in -2, -1, -2/3?
-2/3
What is the closest to 0 in 1/4, 15, 5?
1/4
Which is the closest to 0.1? (a) 6/31 (b) -1/2 (c) 2/3 (d) -20
a
Which is the nearest to 0? (a) -28 (b) -0.5 (c) 0.2 (d) -3
c
Which is the closest to -0.2? (a) 29.5 (b) 0.2 (c) 4
b
Which is the nearest to -0.5? (a) -4 (b) 4 (c) -3
c
Which is the nearest to 1? (a) 0.4 (b) -0.02 (c) 4.1
a
Which is the closest to -3/4? (a) -4 (b) -0.1 (c) -5 (d) 0.2
b
Which is the nearest to 9? (a) -3.2 (b) 1/5 (c) -1
b
What is the closest to -2/5 in 12, 0, -0.5, 0.4?
-0.5
Which is the closest to 637? (a) 10 (b) -1 (c) 1/4 (d) 0.3
a
What is the nearest to -1.1 in -4, 1, 2/3?
2/3
Which is the nearest to -1? (a) 0.1 (b) 17 (c) 2/7 (d) -0.1
d
Which is the closest to 14? (a) -4 (b) 5/2 (c) 4
c
What is the closest to -1/5 in 2, -4, -5.4, -1?
-1
Which is the closest to 22? (a) -3 (b) 0.1 (c) -4 (d) -2
b
Which is the closest to 0? (a) 1.24 (b) -2/7 (c) -0.4
b
Which is the nearest to -2? (a) 5 (b) 0 (c) 0.16 (d) -2/3
d
What is the nearest to 1 in -3/7, -0.2, 1, 0.4?
1
What is the nearest to -2 in 3, -1, 1/3, -15?
-1
Which is the nearest to 3? (a) 0.027 (b) -5 (c) -0.5
a
Which is the closest to 2? (a) 3/4 (b) 4 (c) -3
a
Which is the nearest to -23/2? (a) 3 (b) -1 (c) 1
b
Which is the nearest to 2/7? (a) 1 (b) -5 (c) -0.65
a
What is the closest to -1 in -2/19, -1/12, -1/4?
-1/4
Which is the nearest to -2? (a) 29 (b) 2 (c) 0 (d) 1
c
What is the closest to -0.063 in 5, 3, -0.5, 1/4?
1/4
What is the closest to 0 in 3, 1, 11, 0.5?
0.5
What is the nearest to 0.03 in -5, -7/3, 0.3, 0.5?
0.3
Which is the nearest to 1? (a) -4/7 (b) -5 (c) 2/23
c
Which is the closest to 0? (a) 0 (b) 0.3 (c) -0.13
a
What is the nearest to -2 in 4/3, -2, -0.74, 4/5?
-2
Which is the nearest to 1/2? (a) 5 (b) -0.4 (c) -0.22 (d) -0.5
c
What is the closest to -2/47 in -10/11, 1/3, 4?
1/3
Which is the closest to -1/9? (a) 0.3 (b) -3 (c) -18
a
What is the closest to 0.4 in 0.5, 0, -49/27?
0.5
Which is the closest to -1/13? (a) -5/9 (b) 0.1 (c) -1/5 (d) -0.3
c
Which is the closest to -56? (a) 1/4 (b) 3 (c) -3
c
Which is the closest to -2/9? (a) -0.3 (b) 2/11 (c) -3 (d) 2/7
a
What is the closest to -0.161 in -0.3, -1/3, 3/5, 1?
-0.3
What is the nearest to 0.1 in 40/7, -3/7, 4, -0.1?
-0.1
What is the nearest to 0.1 in 8, 2/3, -2/15, 1/2?
-2/15
What is the closest to 2 in -663, -2/9, 1/6?
1/6
Which is the closest to 0? (a) -0.2 (b) 1/4 (c) -1/3 (d) -0.07
d
Which is the closest to -1? (a) 2/7 (b) -7 (c) 0
c
What is the closest to -0.1 in -1/2, -2.66, -1/10, 4?
-1/10
What is the nearest to -8 in 1/4, -12, 5, -0.2?
-12
Which is the closest to 3/13? (a) -0.4 (b) 1/3 (c) -11/5
b
Which is the closest to 2? (a) -1/4 (b) -0.11 (c) -1/3 (d) 1/2
d
Which is the closest to -18? (a) -3 (b) -0.4 (c) -0.019
a
What is the closest to -0.02 in -0.3, -25, -2/7, -1/3?
-2/7
Which is the closest to 3? (a) 13/6 (b) -4/7 (c) 4/7 (d) 4
a
Which is the nearest to -18? (a) -0.2 (b) 2 (c) 8
a
Which is the nearest to 7/2? (a) -2 (b) 0.02 (c) 5 (d) 0
c
Which is the nearest to -1/5? (a) 3/5 (b) 0.3 (c) 4 (d) 2
b
What is the closest to 0 in 1425, -4/5, -2?
-4/5
What is the closest to -4/7 in -3/7, 1/29, 3, -0.4?
-3/7
What is the nearest to -49/3 in -1/3, -0.5, -5?
-5
Which is the nearest to -1? (a) 2 (b) 1/3 (c) 5 (d) -1/3
d
Which is the closest to 0? (a) -2 (b) -5/2 (c) 2/19 (d) -0.4
c
What is the nearest to -0.2 in 3, -0.34, -1, 4?
-0.34
Which is the nearest to 1/9? (a) -0.3 (b) -1.1 (c) 1
a
What is the nearest to 5 in 235.2, 2, 0?
2
What is the nearest to 14 in 4, -0.3, 0?
4
Which is the closest to -1/3? (a) -1/5 (b) 6 (c) -26 (d) -2
a
Which is the closest to -0.4? (a) -2 (b) 1/4 (c) 3/19 (d) -11
c
Which is the nearest to -1? (a) -3/10 (b) 3 (c) 2
a
What is the closest to -1/3 in -10, 7, 0.3?
0.3
Which is the closest to -3? (a) 0.1 (b) 7 (c) -4/3
c
What is the nearest to 2/11 in 2, 1/3, -0.2, -22?
1/3
What is the closest to -2/5 in -0.4, -2, -53, 5?
-0.4
What is the nearest to -0.1 in 4/7, 5, 1.8, -3?
4/7
Which is the closest to 2? (a) -4 (b) 3 (c) 2
c
What is the nearest to 0.051 in 3, -4, -2?
-2
What is the nearest to 0 in 5, -0.4, -2/11?
-2/11
Which is the closest to 0.2? (a) -0.2 (b) 2/7 (c) -1.05 (d) 3/7
b
Which is the nearest to 12? (a) 2 (b) -1/5 (c) -7/9 (d) -4/5
a
Which is the nearest to 2/7? (a) -0.3 (b) 6 (c) -3/4 (d) -79
a
Which is the nearest to -5? (a) 5 (b) -3/5 (c) 2/7
b
What is the closest to 3 in -1, 3, 1/4, 1?
3
What is the nearest to 1 in 3, 2, -1/5, -4?
2
Which is the nearest to 6? (a) -0.3 (b) 0.17 (c) -3/5 (d) 0.3
d
Which is the nearest to 1/2? (a) 1 (b) 47 (c) 2/3 (d) -2/3
c
What is the closest to -6 in 0.3, 1/11, 0.4, -3?
-3
What is the closest to -4/33 in -2, 9, -3/2, -4?
-3/2
Which is t | {
"pile_set_name": "DM Mathematics"
} |
164525.9
What is the difference between 770.751 and -751744?
752514.751
What is -147642050109 minus 0.4?
-147642050109.4
What is -0.00533 minus -1827199?
1827198.99467
What is -204009 less than -62832494?
-62628485
What is -0.000983822337 take away -0.0675?
0.066516177663
What is -17745125 minus 22.6123?
-17745147.6123
Calculate 351027021496 + 5.
351027021501
What is -9.365852 take away 25915.8?
-25925.165852
Put together -4.183 and -30742116.91.
-30742121.093
Add together 86623097459497 and 2.
86623097459499
Subtract -1990 from -28.971724.
1961.028276
Add together 2292676968 and 55.28.
2292677023.28
What is -5 - -589656831551?
589656831546
Calculate 7.2864065926186 + -7.
0.2864065926186
What is the difference between -94771130935819 and 0.4?
94771130935819.4
Work out -3100.4287831 - -1.6.
-3098.8287831
What is -0.17 + -184427174041?
-184427174041.17
Calculate -13588 - -60611.2.
47023.2
-5 - 3499392323
-3499392328
What is the distance between 2900350.123 and -0.69?
2900350.813
Subtract 10591962.2504 from -2.
-10591964.2504
Add -0.33429 and 1536947.
1536946.66571
What is 15941380.128 minus 68.4?
15941311.728
What is 4122497018 plus -2465?
4122494553
Add together 77180713879.6 and 5.
77180713884.6
Calculate 169.1 + 72332611567.
72332611736.1
What is -5 less than -902607648698?
-902607648693
What is -7941 minus -29.706573705?
-7911.293426295
Calculate 12547 - 100.526030185.
12446.473969815
What is -5 minus 18349447.536896?
-18349452.536896
What is -1200.5986043 take away -2.106?
-1198.4926043
337.6836356363 + 0.02
337.7036356363
Work out 4 + -338649918405.
-338649918401
What is -25.632 take away 16327892?
-16327917.632
Add -6880239614 and -1391.
-6880241005
Work out -0.21395 + 138463.0579.
138462.84395
-153.440537185847 - 3
-156.440537185847
0.1+29146341041
29146341041.1
What is 675994945.3 take away 103632?
675891313.3
What is the distance between 9813 and -481337.20253?
491150.20253
What is 113.7483 less than -0.02023754?
-113.76853754
What is 87839637561 - -0.622?
87839637561.622
What is 0.05 take away -59763686969?
59763686969.05
Calculate 347363583 + 0.0111.
347363583.0111
Calculate -1990403046387.53 + -0.5.
-1990403046388.03
Subtract -0.31 from -41467138037.
-41467138036.69
What is -5700 minus 28772965836?
-28772971536
What is -0.9 minus -5406126.82?
5406125.92
What is the distance between 3 and 2538019689868.5?
2538019689865.5
Sum -389167 and -45670630.
-46059797
Work out -2.451204 - -0.017486.
-2.433718
Total of 238.250139683344 and 5.
243.250139683344
40517.34+-804.845
39712.495
109.78+311858284
311858393.78
What is -2409265313080.6 minus 15?
-2409265313095.6
Work out -15611154 + -19493.
-15630647
What is -2152.5873545 plus -5?
-2157.5873545
What is 166014507 take away 1495.947?
166013011.053
Total of 0.0067384 and 0.2890913.
0.2958297
What is -2.8256261528 take away 306?
-308.8256261528
Calculate -31.1 - 544588319009.
-544588319040.1
Work out 49.880088437248 + -0.09.
49.790088437248
Calculate 5534850 + -3754815.
1780035
Put together 868272.03592 and 37.
868309.03592
Sum 35402052 and 0.05159.
35402052.05159
What is 265929830258869 + 0.2?
265929830258869.2
What is the difference between 5350140.095 and -2653?
5352793.095
Calculate -128477.948845 + 0.5.
-128477.448845
Add together -35233 and 104.67555.
-35128.32445
Add together 0.144586822563 and 0.2.
0.344586822563
Subtract -599541651 from -77784.
599463867
What is -143.028107 + -1022162?
-1022305.028107
What is the distance between -2956745880729 and 0.2?
2956745880729.2
What is the distance between 0.2 and 749853922.863?
749853922.663
Work out 48 + -0.94625387132.
47.05374612868
Add 5512523910 and -1044.
5512522866
Total of 183530 and -0.33619353.
183529.66380647
Subtract -54034 from -1917462.6.
-1863428.6
What is -5.7020455 take away 311?
-316.7020455
What is 3787271628 - -2323?
3787273951
Add together 83115735.3 and -509.
83115226.3
What is 0.8318395021444 take away 92?
-91.1681604978556
What is -263.2565 plus -0.54966896?
-263.80616896
What is -1743041.6668 minus 8.5?
-1743050.1668
What is 1.880638 + 38737634?
38737635.880638
What is the difference between 9943020826 and 4?
9943020822
What is -3776285501 take away 0.027209?
-3776285501.027209
Put together 0.9110212057 and 3.
3.9110212057
What is -0.2 less than 1399006861310?
1399006861310.2
What is -1188.396277 plus 3.19?
-1185.206277
Add together -1.019153 and 11.0896755.
10.0705225
Total of -0.312230486 and -8744.
-8744.312230486
What is -22 plus 20685.31439584?
20663.31439584
11700565650.5 + 65
11700565715.5
What is the difference between 2997548376 and -2?
2997548378
Total of -732232 and -7352.879.
-739584.879
Calculate -0.0011 - 47139936323.
-47139936323.0011
Calculate -2.702 + -4653419538.
-4653419540.702
30952 - -38513.2323
69465.2323
-4 - -362722412.2082
362722408.2082
-682661 + -818019295
-818701956
Add together -13446505100 and -362.
-13446505462
Put together -14.116432784019 and 0.1.
-14.016432784019
-1621258309 + -229.7
-1621258538.7
What is the difference between 4573152267 and -4032?
4573156299
Work out 0.08 + 60059837446.
60059837446.08
What is the difference between 313557 and 1390249?
1076692
Calculate -229757.4598124 - -0.27.
-229757.1898124
Work out 1.811 - 1283.8390005.
-1282.0280005
-252726283591+-5.2
-252726283596.2
271 + -5537763926
-5537763655
What is -6127301 take away 317.83?
-6127618.83
Calculate 7 - -12316649290.
12316649297
What is -157 less than 27713436767?
27713436924
Work out -9488.3963 - -200.
-9288.3963
Subtract -0.601489422 from 0.0951821.
0.696671522
What is 43866372 + 7629?
43874001
Add 3811680844 and 0.0807.
3811680844.0807
What is -1076.0432 plus -22231?
-23307.0432
What is 57 - 257955209.2314?
-257955152.2314
What is -281300547529.82 take away -4?
-281300547525.82
What is 240852498364 plus 5?
240852498369
What is 2377711833467 minus 0.5?
2377711833466.5
What is -0.02 take away -3389939563?
3389939562.98
What is the difference between -0.0586 and 5390080.9772?
5390081.0358
What is 31.1 minus 0.059401096011?
31.040598903989
What is -12101 less than -189751144?
-189739043
Work out -21067556642233 - 7.
-21067556642240
What is the difference between 20332.09 and 232931.6?
212599.51
2.6+-10969.846394
-10967.246394
Add -98.2 and 372626429.
372626330.8
What is 32.195032 take away 1784.4?
-1752.204968
What is 1.6 minus -325508153028?
325508153029.6
What is the difference between 34050 and 12106146?
12072096
What is -2392225998502 less than 0.11?
2392225998502.11
What is 361253648286 less than 9.75?
-361253648276.25
Put together 0.708234 and 308599628.
308599628.708234
What is -2751.5603285 take away -148?
-2603.5603285
What is 0.9 - -459009461878?
459009461878.9
Work out 820201 - 138566604.
-137746403
What is 32430988 take away -12786656?
45217644
Work out 79085912.9 + 15.5.
79085928.4
Work out 120 - 1707654369.1.
-1707654249.1
Subtract 363755496570646 from -0.4.
-363755496570646.4
What is 114 minus 428754696235?
-428754696121
7 - 1.79312776359
5.20687223641
What is -363 - 26301084269?
-26301084632
What is the distance between 4.3 and 45185229511?
45185229506.7
What is 25 - 1336011267?
-1336011242
-5526182+742399
-4783783
What is -268.6452 minus 0.07037?
-268.71557
What is the difference between 0.01 and -0.59499610005?
0.60499610005
Total of -25152452404 and -0.2.
-25152452404.2
Put together -123204 and -4824793.
-4947997
Put together 197 and 0.164586166927.
197.164586166927
What is -815313632 plus -0.0918?
-815313632.0918
What is -0.19791 - 124172273?
-124172273.19791
Add 1458 and 8700.7928.
10158.7928
What is -20.31 less than -2123834126?
-2123834105.69
Add together 0.06 and -107188140476.63.
-107188140476.57
Work out -5 + -53246252103.
-53246252108
What is -16390 - -425175560?
425159170
Work out 3 - 238895369221.
-238895369218
What is -22.57883328971 less than 12?
34.57883328971
1.61 - -0.3038095800124
1.9138095800124
What is the distance between 931.21983 and -1.33?
932.54983
268898 + -601824.93
-332926.93
What is 229 - 0.142774937?
228.857225063
Work out 541537994488 + 5.
541537994493
-14099383959 - 849.2
-14099384808.2
Subtract 10430938171 from -0.4.
-10430938171.4
What is -9066022240 - 60182?
-9066082422
Sum -108.461 and 585250.
585141.539
What is -0.5 + 3997263268.3392?
3997263267.8392
Ca | {
"pile_set_name": "DM Mathematics"
} |
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