text
stringlengths 270
8.19k
| meta
dict |
|---|---|
0
Convert 780.7026 minutes to nanoseconds.
46842156000000
What is 695.4527 nanograms in milligrams?
0.0006954527
What is 11.69794 centuries in decades?
116.9794
What is 2/63 of a week in seconds?
19200
How many millilitres are there in six fifths of a litre?
1200
Convert 78593.84 hours to milliseconds.
282937824000
What is 7/2 of a meter in centimeters?
350
What is eleven halves of a litre in millilitres?
5500
What is 32/5 of a litre in millilitres?
6400
What is thirty-two fifths of a gram in milligrams?
6400
What is 3/50 of a centimeter in micrometers?
600
What is 5829.005 millilitres in litres?
5.829005
How many seconds are there in 10/3 of a minute?
200
How many milligrams are there in thirty-two fifths of a gram?
6400
What is 186.31956 hours in weeks?
1.109045
What is 77/5 of a millisecond in microseconds?
15400
How many nanoseconds are there in 62297.63 hours?
224271468000000000
What is 1849.581 centimeters in nanometers?
18495810000
What is 276121.1 millennia in years?
276121100
How many minutes are there in two fifteenths of a week?
1344
How many nanometers are there in 94066.84mm?
94066840000
How many nanograms are there in 21/8 of a microgram?
2625
What is four fifteenths of a day in minutes?
384
What is one tenth of a millisecond in microseconds?
100
What is 53.7053 decades in centuries?
5.37053
Convert 1123.079 grams to tonnes.
0.001123079
What is 17/2 of a milligram in micrograms?
8500
Convert 210422.2 millilitres to litres.
210.4222
What is 3/50 of a millimeter in micrometers?
60
Convert 470.9865l to millilitres.
470986.5
What is seven halves of a litre in millilitres?
3500
How many millilitres are there in 6/5 of a litre?
1200
What is 507468.1 years in months?
6089617.2
How many months are there in 3/50 of a millennium?
720
How many micrometers are there in twenty-six fifths of a millimeter?
5200
What is five eighths of a litre in millilitres?
625
Convert 9351.228 millilitres to litres.
9.351228
Convert 125.5274 meters to nanometers.
125527400000
What is 0.3247663km in meters?
324.7663
Convert 14.15765 millilitres to litres.
0.01415765
How many litres are there in 221.9358ml?
0.2219358
What is 19/7 of a week in minutes?
27360
How many minutes are there in 1894195.8ns?
0.00003156993
How many microseconds are there in 57/5 of a millisecond?
11400
What is 6336.484 millilitres in litres?
6.336484
How many millimeters are there in 490788.7 meters?
490788700
How many milligrams are there in 51.5889 tonnes?
51588900000
How many millilitres are there in one quarter of a litre?
250
How many grams are there in five quarters of a kilogram?
1250
Convert 269582.445 seconds to days.
3.1201671875
How many hours are there in 28/3 of a day?
224
What is 19/4 of a millennium in months?
57000
How many nanograms are there in three fifths of a microgram?
600
What is 3.867203 centuries in millennia?
0.3867203
What is 11/8 of a microgram in nanograms?
1375
How many years are there in 290.15445 months?
24.1795375
Convert 0.8523726ns to seconds.
0.0000000008523726
What is 43400.34 centuries in months?
52080408
How many micrograms are there in 13/5 of a milligram?
2600
What is 238.44459 months in years?
19.8703825
How many centuries are there in 88.66554 months?
0.07388795
How many years are there in 741599.9 centuries?
74159990
What is 46.32597 days in seconds?
4002563.808
How many kilograms are there in 17/4 of a tonne?
4250
What is 3516.293 nanometers in micrometers?
3.516293
What is fifteen quarters of a millimeter in micrometers?
3750
How many nanograms are there in 3/10 of a microgram?
300
What is 983.4251 litres in millilitres?
983425.1
What is 233863.05ns in minutes?
0.0000038977175
How many millilitres are there in 56608.59l?
56608590
What is 3/50 of a microsecond in nanoseconds?
60
How many decades are there in fifteen quarters of a millennium?
375
How many months are there in 75/4 of a year?
225
How many milliseconds are there in 9016.456ns?
0.009016456
What is 9342.138 litres in millilitres?
9342138
How many grams are there in 3/40 of a tonne?
75000
How many decades are there in seven quarters of a millennium?
175
How many milliseconds are there in 74/5 of a second?
14800
How many micrometers are there in 4154.651cm?
41546510
How many nanometers are there in 725.9707 micrometers?
725970.7
What is 31.63957ms in microseconds?
31639.57
What is 3/5 of a milligram in micrograms?
600
Convert 930545.2t to grams.
930545200000
Convert 92.51608 litres to millilitres.
92516.08
Convert 1121.04us to days.
0.000000012975
How many millilitres are there in eleven halves of a litre?
5500
What is fifteen quarters of a kilometer in meters?
3750
Convert 736.003 decades to centuries.
73.6003
How many nanograms are there in 631.4303ug?
631430.3
How many months are there in one tenth of a decade?
12
How many nanograms are there in 3297.7ug?
3297700
What is 17.61433 years in millennia?
0.01761433
How many millilitres are there in three tenths of a litre?
300
How many meters are there in five eighths of a kilometer?
625
Convert 568.5408 decades to millennia.
5.685408
Convert 447.8598 grams to micrograms.
447859800
What is seventy-five quarters of a litre in millilitres?
18750
How many nanoseconds are there in twenty-five halves of a microsecond?
12500
What is three eighths of a week in hours?
63
What is 7/8 of a kilometer in centimeters?
87500
What is six fifths of a millennium in years?
1200
Convert 6.517331ns to milliseconds.
0.000006517331
Convert 62158.39 nanometers to centimeters.
0.006215839
Convert 458687.5t to kilograms.
458687500
How many meters are there in one fifth of a kilometer?
200
What is five quarters of a week in minutes?
12600
Convert 2694.599 micrometers to nanometers.
2694599
How many seconds are there in eleven quarters of a hour?
9900
Convert 268.2113ng to grams.
0.0000002682113
What is 21/2 of a centimeter in millimeters?
105
Convert 661.521um to millimeters.
0.661521
Convert 1263.384 millimeters to centimeters.
126.3384
What is 29.98892 nanometers in micrometers?
0.02998892
How many litres are there in 435010.1 millilitres?
435.0101
What is 85578.6 milliseconds in minutes?
1.42631
What is one tenth of a millennium in years?
100
Convert 270065.9 kilometers to centimeters.
27006590000
What is 716.372 years in decades?
71.6372
How many meters are there in 3851.599 nanometers?
0.000003851599
Convert 6.04992 decades to centuries.
0.604992
What is thirty-one halves of a year in months?
186
What is 5306.518ml in litres?
5.306518
How many centuries are there in 6/5 of a millennium?
12
What is 31/5 of a litre in millilitres?
6200
How many nanograms are there in 55/4 of a microgram?
13750
How many microseconds are there in 0.0051893 hours?
18681480
How many micrograms are there in 1/64 of a gram?
15625
Convert 97.98486 years to millennia.
0.09798486
How many milliseconds are there in 10188.2 weeks?
6161823360000
How many nanoseconds are there in 38.03154 weeks?
23001475392000000
How many centimeters are there in 1/5 of a meter?
20
How many minutes are there in 17/4 of a week?
42840
What is 543.1571 weeks in milliseconds?
328501414080
What is 29/2 of a litre in millilitres?
14500
Convert 39.20555 litres to millilitres.
39205.55
How many milliseconds are there in sixty-three eighths of a second?
7875
How many millilitres are there in thirty-one halves of a litre?
15500
What is 13/5 of a millennium in centuries?
26
What is 237.3096 months in decades?
1.97758
What is 64/5 of a kilogram in grams?
12800
How many millilitres are there in 61.68884 litres?
61688.84
What is five quarters of a millimeter in micrometers?
1250
What is 1/10 of a meter in micrometers?
100000
How many litres are there in 5.06245 millilitres?
0.00506245
What is 263512.6um in meters?
0.2635126
How many millilitres are there in 71/4 of a litre?
17750
How many milligrams are there in 51.71302 tonnes?
51713020000
What is twenty-seven halves of a gram in milligrams?
13500
What is thirty-one halves of a century in years?
1550
What is twenty-one eighths of a century in months?
3150
What is 21/4 of a gram in milligrams?
5250
How many seconds are there in 0.1803309 weeks?
109064.12832
Convert 2.252294ml to litres.
0.002252294
What is 646.09 centuries in decades?
6460.9
How many millilitres a
|
{
"pile_set_name": "DM Mathematics"
}
|
105 * -750
-78750
-0.2 times -6.151
1.2302
Multiply -5 and 0.4919.
-2.4595
-466*-92
42872
Calculate 65108*-0.4.
-26043.2
Multiply 11951 and -0.2.
-2390.2
21 times 25.3
531.3
0.5 * -341437
-170718.5
Product of -15337 and -2.
30674
2 * -56248
-112496
Product of 181 and 5490.
993690
What is the product of -0.15078 and -1.1?
0.165858
Multiply 0.6 and -173256.
-103953.6
Work out -0.4 * -9047.
3618.8
What is the product of 3 and 130269?
390807
-12*2.1716
-26.0592
Product of 8 and 3940.
31520
What is -4 times 13407?
-53628
What is -0.088 times -199?
17.512
Product of 0.02681 and -0.0729.
-0.001954449
-7733.4 * -0.5
3866.7
-8106 times 0.28
-2269.68
Work out 1 * -10329.
-10329
-30.3 times 62.78
-1902.234
4.4*52347
230326.8
-8723 times 19
-165737
-57 times 265
-15105
-112 * 619
-69328
Multiply 0.4 and -0.052538.
-0.0210152
Work out -0.12 * 371.984.
-44.63808
Calculate -14524*-0.1.
1452.4
Product of 0.04278 and -6.
-0.25668
Work out 44657 * -2.
-89314
Work out 6 * 17788.
106728
Calculate 0.00672*-38.
-0.25536
Work out 9 * 6878.1.
61902.9
Calculate -2*6471.
-12942
Calculate -9436.9*-0.3.
2831.07
-0.10691 * -46
4.91786
Multiply 215.8 and 32.6.
7035.08
Multiply 7 and 7629.
53403
0.27*-1704
-460.08
What is the product of 1941 and 12.7?
24650.7
What is 2.3 times -0.0178?
-0.04094
Calculate 3*-0.08661.
-0.25983
-40204 times -0.03
1206.12
Multiply 211498 and -2.
-422996
Multiply -3395 and 80.
-271600
4967 times 6.9
34272.3
What is -2.1589 times 0.3?
-0.64767
What is -0.0216 times -0.1?
0.00216
-0.042134 * 0.2
-0.0084268
Product of 228929 and 0.3.
68678.7
What is the product of -19790 and 10?
-197900
-3436 times 0.425
-1460.3
What is 0.5 times 14.441?
7.2205
Product of 4645.5 and -39.
-181174.5
15134 times -0.05
-756.7
Calculate -871*6.85.
-5966.35
What is the product of -0.2 and 16314?
-3262.8
What is 5.1 times 1688?
8608.8
What is the product of -1 and 140282?
-140282
Work out 43 * 9321.
400803
-636663 times 0
0
Product of 0.5 and -180939.
-90469.5
Product of 4 and -10707.
-42828
What is the product of 8704 and -16?
-139264
0.12 * -402
-48.24
Work out -0.4 * -2.6939.
1.07756
Calculate -138*2720.
-375360
-0.0990836 times 6
-0.5945016
-2.5 * -505
1262.5
What is the product of 0.25 and -2850?
-712.5
What is 15 times 79117?
1186755
2.08*-388
-807.04
Multiply 2.1 and 1744.5.
3663.45
What is -3 times 40858?
-122574
Product of -73 and -2.8.
204.4
Work out -1.23 * 12.88.
-15.8424
What is the product of 39185 and 0.061?
2390.285
4 * -2202
-8808
What is 0.4 times -58.69?
-23.476
-67 * 25796
-1728332
-3.2 * -0.0408
0.13056
Multiply -948 and 177.
-167796
What is the product of -2 and -0.0119063?
0.0238126
What is -17 times 4968?
-84456
What is 11532 times -74?
-853368
Product of 0.5076 and 1.1.
0.55836
24*-19.5
-468
22 * -14.062
-309.364
12*-323.9
-3886.8
Work out 148214 * -0.08.
-11857.12
What is the product of 1.835 and -66?
-121.11
Calculate -169408*-0.5.
84704
Product of 1.199483 and -5.
-5.997415
Multiply 28.31 and 10.32.
292.1592
What is the product of -0.251 and -1598?
401.098
Multiply 3.18 and 0.651.
2.07018
0*-0.0083
0
What is -0.3 times -8309?
2492.7
0.4 times -42570.4
-17028.16
Multiply 1.96 and 0.03462.
0.0678552
What is 3 times 711894?
2135682
What is -11 times 0.01861?
-0.20471
Product of 0.9 and -10.47.
-9.423
Product of 0.167 and 602.
100.534
3 times 2139052
6417156
Multiply 0.5 and 69.112.
34.556
What is the product of 0.441 and -0.172?
-0.075852
What is -7.8 times -0.87?
6.786
Work out 229244 * 0.4.
91697.6
Calculate -0.2506*387.
-96.9822
What is the product of 2 and -1.9056?
-3.8112
Product of -6 and 575.
-3450
Multiply 102 and -2716.
-277032
What is 0.5 times -86912.1?
-43456.05
2.38 * 0.02
0.0476
Product of 2283531 and 0.3.
685059.3
2.0018*9
18.0162
0.825 times 1849
1525.425
Work out 0.19 * 0.100431.
0.01908189
Work out -0.5 * -1117.424.
558.712
-915 times -156
142740
0.0264735 * 0.1
0.00264735
-6.0371 times -5
30.1855
What is the product of 49 and -5040?
-246960
-28.6 * -196
5605.6
Work out 124315 * 0.6.
74589
What is 0.5 times 18767?
9383.5
Calculate -0.5812*-0.98.
0.569576
Product of 3708 and 578.
2143224
Work out 1 * 0.1789108.
0.1789108
Calculate 0.133701*-3.
-0.401103
Work out -45526 * -6.
273156
Product of 30.57516 and 0.3.
9.172548
Calculate -3809.7*-9.
34287.3
Product of -0.056 and -435.
24.36
Calculate -416684*20.
-8333680
43996 * -4
-175984
What is the product of -729.96 and -4?
2919.84
646090*0.5
323045
What is 11080 times 38?
421040
-4 times 246.612
-986.448
0.2 * -2014587
-402917.4
16.622*-0.2
-3.3244
Multiply 245 and 269.
65905
Multiply 0.4 and -33.2899.
-13.31596
Calculate -0.5*0.073125.
-0.0365625
Product of 598328 and -0.1.
-59832.8
317 times 0.0205
6.4985
What is -0.5 times 4.6276?
-2.3138
What is 5 times -6395.6?
-31978
-48243*0.28
-13508.04
0.07 * 2926.4
204.848
Multiply -3 and -19702.
59106
What is 9139.3 times 0.35?
3198.755
Calculate -0.4*5639.
-2255.6
What is 7 times 3.63?
25.41
What is the product of -0.154228 and -0.6?
0.0925368
Work out -4 * 8001.
-32004
-5484.3 * -0.5
2742.15
Work out -8 * 45134.
-361072
What is the product of -2 and -174.815?
349.63
Multiply -0.16 and -133872.
21419.52
What is 473224 times 1?
473224
Product of 10.8 and 1.98.
21.384
-1667 * -53
88351
145.6 times -0.398
-57.9488
Work out -1102082 * -0.1.
110208.2
Calculate -0.045*1884.
-84.78
6 times -10206.6
-61239.6
-853 times 79
-67387
Multiply 6055 and 24.
145320
-92548 * 5
-462740
Calculate -0.8*-65243.
52194.4
Multiply -1095 and -24.
26280
Multiply -7 and -124130.
868910
Work out -0.5 * 2649.
-1324.5
-0.193*0.01255
-0.00242215
What is -122.87 times 4?
-491.48
Product of -160953 and -4.
643812
-2672 times 1.3
-3473.6
0 * -94652
0
Multiply -150 and 0.6992.
-104.88
-0.1005144*-0.3
0.03015432
Product of -0.2 and 183188.
-36637.6
0.063*8115
511.245
Multiply -15414 and 0.04.
-616.56
What is 10700.94 times 0.4?
4280.376
Product of -1050 and 514.
-539700
0.248 * 0.8
0.1984
-2.5223 * 5
-12.6115
Calculate -3388*0.58.
-1965.04
What is 4 times -1.4979?
-5.9916
Calculate -0.160583*-7.
1.124081
-22691 times -0.21
4765.11
Calculate -2.05*0.02.
-0.041
Work out 0.71 * 3792.
2692.32
Calculate 62664*-0.6.
-37598.4
What is the product of 204591 and -1?
-204591
Product of -4.92 and 0.1.
-0.492
Product of -828903 and -5.
4144515
What is the product of -1.3 and -2663?
3461.9
Multiply -393 and 740.
-290820
-0.766*99
-75.834
Multiply -5 and 6831.
-34155
Work out 13313 * 2.
26626
-333.18*-0.5
166.59
183*-100.3
-18354.9
What is the product of 0.2 and -370.56?
-74.112
What is the product of 151 and 0.02?
3.02
Work out -80285 * -2.
160570
11.3 times -4
-45.2
Product of 0.0044 and 63.
0.2772
Multiply 449 and 313.
140537
95369 times -0.2
-19073.8
-406284 * -0.9
365655.6
Multiply 7471 and -0.66.
-4930.86
Product of 3 and 28566.
85698
What is the product of -0.5 and -196352?
98176
What is -114 times -0.999?
113.886
What is 0.3 times 23.4772?
7.04316
What is -3 times 20780?
-62340
-6.31 * -1544
9742.64
-8*6233
-49864
-54159*0.1
-5415.9
279381 * -5
-1396905
Multiply -0.023 and 1.5629.
-0.0359467
-28705 * 0.1
-2870.5
1589 times -1197
-1902033
Multiply 24394 and -0.4.
-9757.6
What is 26.42 times 585?
15455.7
-1 * -222994
222994
Calculate 8*-17561.
-140488
18 * 196
3528
What is the product of -0.016843 and 0.3?
-0.0050529
234.197*3
702.591
Multiply 3.998 and -29.1.
-116.3418
8*-87.686
-701.488
-276881 times 5
-1384405
What is 0.08 times 4415?
353.2
0.2 * 1.852
0.3704
-0.009728 * -103
1.001984
Calculate -52.5*-46.
2415
What is -43225 times -0.3?
12967.5
Calculate 6.60699*-0.1.
-0.660699
Work out 6 * -258132.
-1548792
Product of -3 and 707.709.
-2123.127
290136 * -2
-580272
Calculate -115590*-6.
693540
What is 402 times -1.1?
-442.2
Calculate -826.4*-3.
2479.2
1036*-5039
-5220404
Product of 5 and 91433.
457165
What is -9.54 times 37?
-352.98
What is the product of 26906 and 0.16?
4304.96
Work out 31944 * -0.12.
-3833.28
Product of -41 and 5517.
-226197
Work out -0.14 * 0.03959.
-0.0055426
Calculate 60.7*25.96.
1575.772
Work out -347929 * -2.
695858
What is -162373 times 0.3?
-48711.9
Work out 7.6 * -2006.1.
-15246.36
Multiply 6153 and 0.364.
2239.692
Multiply -18923 and 15.4.
-291414.2
What is the product of 318624 and -4?
-1274496
1136*0.33
374.88
198758*-4
-795032
-223.8 times 5
-111
|
{
"pile_set_name": "DM Mathematics"
}
|
Sort 23, -7/110, -9, 4, 5 in increasing order.
-9, -7/110, 4, 5, 23
Sort -1, 26, 2, -112.
-112, -1, 2, 26
Sort 0, 1, 4, -8, -2/39, 23 in descending order.
23, 4, 1, 0, -2/39, -8
Put 1/167, 3, 40 in increasing order.
1/167, 3, 40
Put 0.5, 40, 1178, 2/7 in descending order.
1178, 40, 0.5, 2/7
Sort -2.827, -3, 1, -1/3 in increasing order.
-3, -2.827, -1/3, 1
Sort -27, -11, 1, 2, 88, -1 in decreasing order.
88, 2, 1, -1, -11, -27
Put -2, 35172, -5 in descending order.
35172, -2, -5
Sort 27999, -2, 10.
-2, 10, 27999
Sort 3, -1, -85/3, 0.4, 2 in ascending order.
-85/3, -1, 0.4, 2, 3
Sort 1, 0.023, 236, -2/9.
-2/9, 0.023, 1, 236
Put 398, -1, -5, 3, 2 in decreasing order.
398, 3, 2, -1, -5
Sort -4, 40, 4.
-4, 4, 40
Sort 3, -15, -4, -1596.
-1596, -15, -4, 3
Sort 16, 7, -5, -1, -6735 in ascending order.
-6735, -5, -1, 7, 16
Sort 4/101, -0.5, 1, 0, -0.2, 1.6.
-0.5, -0.2, 0, 4/101, 1, 1.6
Sort 12, 4, -3, 21, -11 in ascending order.
-11, -3, 4, 12, 21
Put 1/4, -28, -0.3, 45 in decreasing order.
45, 1/4, -0.3, -28
Put -1, -1881, 9, -2 in increasing order.
-1881, -2, -1, 9
Sort 0, -5, -2, -3, 917, 5.
-5, -3, -2, 0, 5, 917
Put -5, 0.00199, 2/9 in decreasing order.
2/9, 0.00199, -5
Put 27569, -3, -1, 5 in increasing order.
-3, -1, 5, 27569
Sort 46, -0.7528, -3, -0.2 in descending order.
46, -0.2, -0.7528, -3
Put 13, -45, -1, -3 in ascending order.
-45, -3, -1, 13
Sort 0.0494, -0.4, -0.5, -28.
-28, -0.5, -0.4, 0.0494
Sort -1.917, -219, -2 in decreasing order.
-1.917, -2, -219
Put -1, -1163, -2, -4, 4 in descending order.
4, -1, -2, -4, -1163
Sort -0.097, -7/4, 3, -2, -5.
-5, -2, -7/4, -0.097, 3
Put 28, -4, 6, 15, -3, -8 in descending order.
28, 15, 6, -3, -4, -8
Put -33650, 5, -3, 0 in decreasing order.
5, 0, -3, -33650
Sort -81, 2, -67 in decreasing order.
2, -67, -81
Put 3/8, -0.2, 2, -1, -5, -5/1336 in descending order.
2, 3/8, -5/1336, -0.2, -1, -5
Sort 2/5, 0.3, -2, 7, 34/5 in increasing order.
-2, 0.3, 2/5, 34/5, 7
Sort -2, -21, 2/13, -1, -509 in descending order.
2/13, -1, -2, -21, -509
Sort -1, -1.2, 5, -0.5, -0.3, -5/6 in increasing order.
-1.2, -1, -5/6, -0.5, -0.3, 5
Sort 4, -6760, -12 in descending order.
4, -12, -6760
Sort 4, 1, 0, -5, -2.
-5, -2, 0, 1, 4
Put 0.03, -12/25, -4 in decreasing order.
0.03, -12/25, -4
Put -5, 338, 18 in decreasing order.
338, 18, -5
Sort -6, -8, 3, -93, 1 in decreasing order.
3, 1, -6, -8, -93
Sort -17190, 1, 5.
-17190, 1, 5
Sort 4/1923, 30, 1/6, 4.
4/1923, 1/6, 4, 30
Sort -5, 1, 58, 4, 0, -4 in decreasing order.
58, 4, 1, 0, -4, -5
Put 5, -1, 1, -7243 in descending order.
5, 1, -1, -7243
Put -1, 5, -37, -4, 1 in decreasing order.
5, 1, -1, -4, -37
Sort -3, 3, -4/9, -5, -109 in descending order.
3, -4/9, -3, -5, -109
Put -1/2, 2/7, 2/5, 3, 72 in descending order.
72, 3, 2/5, 2/7, -1/2
Put 4, -28, 95/36 in increasing order.
-28, 95/36, 4
Put 5, 241, -5, -4, -3, -7 in ascending order.
-7, -5, -4, -3, 5, 241
Sort 0, 9, -385, -14, -2 in descending order.
9, 0, -2, -14, -385
Put 60, 6, 1, -1, -3 in increasing order.
-3, -1, 1, 6, 60
Sort -1, -5, 7, -98.
-98, -5, -1, 7
Put 30/11, 2/9, 1/6, -1/3, 69, 112 in increasing order.
-1/3, 1/6, 2/9, 30/11, 69, 112
Sort 5, 1, 28, -31, -3 in descending order.
28, 5, 1, -3, -31
Put -2/23, 0.0009, 0.5, -0.5, -3 in decreasing order.
0.5, 0.0009, -2/23, -0.5, -3
Sort -4, -2/3, -480, 11, 1/10 in decreasing order.
11, 1/10, -2/3, -4, -480
Put -51, 3, 0, -722 in decreasing order.
3, 0, -51, -722
Sort 3/7, -1/12, 373.
-1/12, 3/7, 373
Put -0.003, 13, -3, -0.1, 65 in decreasing order.
65, 13, -0.003, -0.1, -3
Put -0.2, 3187/7, 4/3, 1/3, -2/17 in descending order.
3187/7, 4/3, 1/3, -2/17, -0.2
Put -2/3, -572, 1/40, -2/5 in decreasing order.
1/40, -2/5, -2/3, -572
Sort -4, -5, 0, 2, -17 in descending order.
2, 0, -4, -5, -17
Put -1/22, 97, -1, -4, 2/13 in decreasing order.
97, 2/13, -1/22, -1, -4
Sort 19.5, 0, -29 in ascending order.
-29, 0, 19.5
Put 2, 3, 7, -4, 9, -40 in descending order.
9, 7, 3, 2, -4, -40
Sort 1235, -55, -2 in increasing order.
-55, -2, 1235
Sort 170, -4, -2/15 in ascending order.
-4, -2/15, 170
Put 0.8, -2, -0.2, -1/2, 1.2, 439 in descending order.
439, 1.2, 0.8, -0.2, -1/2, -2
Sort -9/130, -0.4, -2/7, -4, -0.02 in increasing order.
-4, -0.4, -2/7, -9/130, -0.02
Sort 1, 8, -1476 in descending order.
8, 1, -1476
Put 1, 0, 1639 in decreasing order.
1639, 1, 0
Sort 3, -241, -59.
-241, -59, 3
Put 195, -80, 5, 1 in ascending order.
-80, 1, 5, 195
Sort 2, -0.6, 2/15, 0, 17 in descending order.
17, 2, 2/15, 0, -0.6
Sort 4, -79, 1175, 2 in increasing order.
-79, 2, 4, 1175
Put 6, 13, -5, -144 in increasing order.
-144, -5, 6, 13
Put 19, -45, 24, 2, -4 in descending order.
24, 19, 2, -4, -45
Sort -0.4, -0.06, -0.081, -2/17.
-0.4, -2/17, -0.081, -0.06
Put -36, 2, 0.21 in descending order.
2, 0.21, -36
Sort 4, 299, 13, 50 in ascending order.
4, 13, 50, 299
Sort -2/23, 4.14, 4, -5, 0.2, -4 in decreasing order.
4.14, 4, 0.2, -2/23, -4, -5
Sort 82, -5, 27, -1, -71, -3 in increasing order.
-71, -5, -3, -1, 27, 82
Sort -1/8, -0.1, -175647 in decreasing order.
-0.1, -1/8, -175647
Sort -5, -3, -9, -2, 2, 0 in descending order.
2, 0, -2, -3, -5, -9
Sort 5, -2/11, -1.936, -1/6, -28 in ascending order.
-28, -1.936, -2/11, -1/6, 5
Put -2/45, 125, 3/8, -0.1 in increasing order.
-0.1, -2/45, 3/8, 125
Put -9, 1, 0, -39 in increasing order.
-39, -9, 0, 1
Sort -1, -3, -2, 24.6, 9 in ascending order.
-3, -2, -1, 9, 24.6
Put -0.5, -632, 784 in descending order.
784, -0.5, -632
Sort -73.3, 0.1, -5/3, 2/13, 17 in decreasing order.
17, 2/13, 0.1, -5/3, -73.3
Sort -350/51, 1, -6 in descending order.
1, -6, -350/51
Put -61, 5, -157 in decreasing order.
5, -61, -157
Sort 28, 32/9, -0.2, -7 in decreasing order.
28, 32/9, -0.2, -7
Sort -8, -13, -26, -4, 1 in descending order.
1, -4, -8, -13, -26
Put 5, 0, 226/7 in ascending order.
0, 5, 226/7
Put -2, -6, -4, 24, 1 in increasing order.
-6, -4, -2, 1, 24
Sort 0, 3, -19, 6 in decreasing order.
6, 3, 0, -19
Put 0.1, 0.473, 1, 992, -2 in increasing order.
-2, 0.1, 0.473, 1, 992
Sort -27, -5, -3, -2, -7 in ascending order.
-27, -7, -5, -3, -2
Sort 2, 5, 422, 24, 4.
2, 4, 5, 24, 422
Put 3, -1/6, 3/4, 2/9, 3399, -5 in ascending order.
-5, -1/6, 2/9, 3/4, 3, 3399
Sort -5/6, 49/23, -10 in ascending order.
-10, -5/6, 49/23
Put -1, 108, -153 in descending order.
108, -1, -153
Sort 112999, -0.2, 5 in decreasing order.
112999, 5, -0.2
Sort -5, -1/2, -2403 in descending order.
-1/2, -5, -2403
Put 3, 24, -4, 20, -2 in increasing order.
-4, -2, 3, 20, 24
Put -8, 4, -3, -152 in descending order.
4, -3, -8, -152
Sort -0.3, 1/3, -17981, -0.4.
-17981, -0.4, -0.3, 1/3
Sort 3, 0, -2, 4, -163, -26 in descending order.
4, 3, 0, -2, -26, -163
Put 1/3, 2, 0.4, -122 in decreasing order.
2, 0.4, 1/3, -122
Put 3, -37, 2, 0.8, -0.3, -3 in descending order.
3, 2, 0.8, -0.3, -3, -37
Put -4, -763, -60, -0.1, 0 in increasing order.
-763, -60, -4, -0.1, 0
Sort 1.03, -3, 0.2, 0.3, 0 in descending order.
1.03, 0.3, 0.2, 0, -3
Put 2075, 5, 2/7, 2/5 in decreasing order.
2075, 5, 2/5, 2/7
Put 57.27, -7, -7/6 in descending order.
57.27, -7/6, -7
Sort 27, -19, 2, -1, 5, 0 in increasing order.
-19, -1, 0, 2, 5, 27
Sort -4, 4, -38913 in increasing order.
-38913, -4, 4
Sort -2, -132, 4, -1, -13, 3 in descending order.
4, 3, -1, -2, -13, -132
Put 0, 4, -16, -10, 8 in ascending order.
-16, -10, 0, 4, 8
Put -43, -913, -2, -1 in increasing order.
-913, -43, -2, -1
Sort 1, 3, -7771 in increasing order.
-7771, 1, 3
Sort 0.122, -2, -0.044, -129 in descending order.
0.122, -0.044, -2, -129
Put 0.29, 2/3, -13/373 in descending order.
2/3, 0.29, -13/373
Sort -23, -1, -3079 in ascending order.
-3079, -23, -1
Put 712, 5, -2, 0, -1 in ascending order.
-2, -1, 0, 5, 712
Sort 2088, -4, -3.
-4, -3, 2088
Put 1/5, -4, -35, 3/7 in increasing order.
-35, -4, 1/5, 3/7
Put -3, -255, 1/4, 0, 5/3 in decreasing order.
5/3, 1/4, 0, -3, -255
Put -57, 3, -107, -4, -2 in decreasing order.
3, -2, -4, -57, -107
Sort 337, -28, -1, 3, 5 in decreasing order.
337, 5, 3, -1, -28
Sort -6, 6, 41 in decreasing order.
41, 6, -6
Put -0.2, -53, 0.2, 2/55 in increasing order.
-53, -0.2, 2/55, 0.2
Put -111/2, -9/2, -0.5, 5, 0 in increasing order.
-111/2, -9/2, -0.5, 0, 5
Put -132, 15, 7, -12 in descending order.
15, 7, -12, -132
Sort -5, -0.5, -
|
{
"pile_set_name": "DM Mathematics"
}
|
ed?
168800
Round -206.413205 to 1 dp.
-206.4
Round 0.000453491231 to six dps.
0.000453
What is -403.23827 rounded to the nearest ten?
-400
What is -533.85075 rounded to the nearest ten?
-530
What is 0.0160742434 rounded to 6 decimal places?
0.016074
Round -0.075837317 to 2 dps.
-0.08
What is -6343200 rounded to the nearest 10000?
-6340000
What is 173060821.1 rounded to the nearest 1000000?
173000000
Round -0.0000420165669 to five dps.
-0.00004
Round -0.001107762747 to 4 dps.
-0.0011
What is 0.00696818183 rounded to five dps?
0.00697
What is 58160.799 rounded to the nearest ten thousand?
60000
Round 1193057.164 to the nearest 10.
1193060
What is 9159.455687 rounded to the nearest 100?
9200
What is -526870.006 rounded to the nearest ten?
-526870
Round -0.0000087902706 to 7 dps.
-0.0000088
Round 3674780965 to the nearest 1000000.
3675000000
What is -0.4665817553 rounded to 5 decimal places?
-0.46658
What is 0.4114366 rounded to 4 decimal places?
0.4114
Round -19762137.1 to the nearest 1000.
-19762000
Round -1491.30008 to the nearest integer.
-1491
What is -847450.0369 rounded to the nearest 1000?
-847000
Round 0.00001009872773 to 6 dps.
0.00001
What is 829.2260901 rounded to two decimal places?
829.23
What is -26014663.68 rounded to the nearest ten thousand?
-26010000
What is -3337313.615 rounded to the nearest one million?
-3000000
What is -237571.8809 rounded to the nearest one thousand?
-238000
What is -3362.88172 rounded to the nearest integer?
-3363
What is -0.0425686267 rounded to 3 dps?
-0.043
What is -4772777.8 rounded to the nearest one hundred thousand?
-4800000
Round 0.112763221 to two dps.
0.11
Round -2.56894985 to two decimal places.
-2.57
What is 0.052110486 rounded to 4 dps?
0.0521
What is -0.060107786 rounded to 3 dps?
-0.06
What is -77404.242 rounded to the nearest 10000?
-80000
What is -0.000008791167 rounded to 7 decimal places?
-0.0000088
What is 7233.0119 rounded to the nearest integer?
7233
What is 21198666 rounded to the nearest ten thousand?
21200000
Round -0.0430412332 to three dps.
-0.043
Round 2.41159831 to three decimal places.
2.412
Round -0.55877376 to 4 dps.
-0.5588
Round -298124.56 to the nearest 10000.
-300000
What is -6.539619239 rounded to 4 decimal places?
-6.5396
Round 0.0000444903781 to 5 decimal places.
0.00004
Round -0.0198045379 to six decimal places.
-0.019805
What is -0.001559819136 rounded to five dps?
-0.00156
Round -2645547276 to the nearest 1000000.
-2646000000
Round 0.329246084 to 2 dps.
0.33
Round -22686.466474 to the nearest integer.
-22686
Round -0.006991016 to 4 decimal places.
-0.007
What is 0.0000038971834 rounded to 7 decimal places?
0.0000039
What is -1702.13237 rounded to the nearest ten?
-1700
Round 33011.3477 to the nearest ten.
33010
What is 0.00004111011458 rounded to 5 dps?
0.00004
Round 6120230.73 to the nearest 10000.
6120000
Round -1653381.15 to the nearest 1000000.
-2000000
What is -0.00000170354692 rounded to 7 dps?
-0.0000017
Round 11605.285484 to the nearest 10.
11610
Round 5229847100 to the nearest 1000000.
5230000000
Round -6597265.34 to the nearest one million.
-7000000
What is 0.0003126286147 rounded to 5 dps?
0.00031
Round -0.143239124 to four dps.
-0.1432
What is 0.00000608295558 rounded to seven dps?
0.0000061
What is 9660.8 rounded to the nearest one hundred?
9700
Round 0.01072289915 to 6 dps.
0.010723
What is -0.00000125520659 rounded to seven dps?
-0.0000013
Round 81407.425 to the nearest ten thousand.
80000
Round -4088505.7 to the nearest one hundred thousand.
-4100000
What is -117991209 rounded to the nearest 100000?
-118000000
Round 0.00005272382188 to seven decimal places.
0.0000527
What is 0.0000003017345589 rounded to 7 dps?
0.0000003
Round -0.0089704722 to 6 decimal places.
-0.00897
Round -12701.45711 to the nearest ten.
-12700
What is -0.62537205 rounded to one decimal place?
-0.6
What is -3.49994633 rounded to one dp?
-3.5
Round 0.0000013862804 to 7 decimal places.
0.0000014
Round -734178.51 to the nearest ten thousand.
-730000
What is 2813500.7 rounded to the nearest 100000?
2800000
What is 1091188640 rounded to the nearest one hundred thousand?
1091200000
Round 0.001075942208 to 6 decimal places.
0.001076
What is 3.008660625 rounded to the nearest integer?
3
What is -2534.76194 rounded to 1 dp?
-2534.8
Round 30261494000 to the nearest 1000000.
30261000000
Round 1191470119.6 to the nearest 100000.
1191500000
Round -0.48514195 to three decimal places.
-0.485
What is 40.17214258 rounded to 1 dp?
40.2
Round -0.0000067249971 to 7 dps.
-0.0000067
What is -6.03854621 rounded to one decimal place?
-6
Round 572724933 to the nearest one million.
573000000
Round 1392441961 to the nearest ten thousand.
1392440000
What is -5060.34631 rounded to the nearest integer?
-5060
Round -0.000001680449805 to seven decimal places.
-0.0000017
Round -11600.26475 to the nearest 1000.
-12000
What is -8457.0284 rounded to 0 decimal places?
-8457
Round -1631.7711 to the nearest one thousand.
-2000
Round 18.57778268 to the nearest integer.
19
Round -370643.4 to the nearest ten thousand.
-370000
Round 0.0000422428432 to six decimal places.
0.000042
What is 2607802.4 rounded to the nearest 10000?
2610000
What is 295.879312 rounded to the nearest 10?
300
What is 0.0989994456 rounded to 4 dps?
0.099
Round 872981390 to the nearest one hundred thousand.
873000000
What is 126.98591956 rounded to the nearest 10?
130
Round 7522869910 to the nearest 1000000.
7523000000
What is 2757101.108 rounded to the nearest 100000?
2800000
Round -2676.9723 to the nearest 100.
-2700
What is -10.65100272 rounded to two dps?
-10.65
What is 14446735.14 rounded to the nearest one million?
14000000
Round -0.003220089246 to 6 decimal places.
-0.00322
Round -0.0149868464 to 6 decimal places.
-0.014987
Round 13303354.3 to the nearest ten thousand.
13300000
Round 101046.39 to the nearest 100.
101000
What is -0.00258025136 rounded to 4 dps?
-0.0026
Round -1.142286512 to 3 dps.
-1.142
What is -0.073993059 rounded to five dps?
-0.07399
What is -96257.623 rounded to the nearest one hundred?
-96300
What is -210159570 rounded to the nearest one million?
-210000000
Round 743.128445 to zero decimal places.
743
Round -0.01356578027 to 7 dps.
-0.0135658
Round 2325.593793 to zero dps.
2326
Round -0.0120543154 to 3 decimal places.
-0.012
Round -4.43673345 to two decimal places.
-4.44
Round 1.34359561 to 1 decimal place.
1.3
Round -0.000034962193 to six dps.
-0.000035
What is -2.911001264 rounded to two dps?
-2.91
Round 0.23383689 to 4 decimal places.
0.2338
What is 3.80599986 rounded to 2 dps?
3.81
What is -0.000008893275927 rounded to 7 dps?
-0.0000089
What is 0.0111962765 rounded to 4 decimal places?
0.0112
Round -6121276.085 to the nearest ten thousand.
-6120000
Round 93382.0299 to the nearest one thousand.
93000
What is 158452786 rounded to the nearest 10000?
158450000
Round 6.6812523 to three dps.
6.681
Round 38921.0639 to the nearest one hundred thousand.
0
Round -0.07607753277 to 6 dps.
-0.076078
Round 6.17746856 to 3 dps.
6.177
What is -0.00039258563 rounded to 4 dps?
-0.0004
Round 36.878386 to 0 dps.
37
Round -2299783.86 to the nearest one million.
-2000000
What is -7.55275254 rounded to one dp?
-7.6
Round -2.787125806 to 0 dps.
-3
Round -0.0076803396 to three decimal places.
-0.008
Round 1.58107512 to three decimal places.
1.581
What is 898.8255427 rounded to 1 decimal place?
898.8
Round 264.14711 to the nearest ten.
260
What is 0.0001006251319 rounded to five decimal places?
0.0001
What is 1101396.83 rounded to the nearest one thousand?
1101000
Round 1.27210749 to 4 decimal places.
1.2721
What is 13036376 rounded to the nearest 1000?
13036000
Round 45456.3292 to the nearest 10.
45460
Round 97073.56 to the nearest 100.
97100
What is -613700540.1 rounded to the nearest ten thousand?
-613700000
What is -8668580.06 rounded to the nearest 100?
-8668600
Round 210148650 to the nearest 1000000.
210000000
Round -8115441.6 to the nearest ten thousand.
-8120000
Round 42851016 to the nearest 10000.
42850000
What is 5218415100 rounded to the nearest one million?
5218000000
What is 1333.342731 rounded to 1 decimal place?
1333.3
Round -10448.3806 to 0 dps.
-10448
Round -8822.335217 to the nearest one thousand.
-9000
Round -46.84147
|
{
"pile_set_name": "DM Mathematics"
}
|
base 9?
-608
What is 21214 (base 8) in base 10?
8844
1027 (base 9) to base 10
754
Convert 493 (base 10) to base 5.
3433
What is -2474 (base 14) in base 15?
-1d4e
11a (base 16) to base 10
282
10074 (base 11) to base 6
152054
What is -201211 (base 4) in base 11?
-1684
425 (base 13) to base 7
2030
Convert -62022 (base 7) to base 9.
-22646
Convert -410 (base 5) to base 10.
-105
Convert -9799 (base 12) to base 13.
-778b
-2bc (base 14) to base 12
-3a6
-111000010 (base 2) to base 12
-316
What is -1044343 (base 5) in base 6?
-222403
What is -224502 (base 6) in base 5?
-1103230
What is 11010110010001 (base 2) in base 3?
200210220
Convert 222411 (base 8) to base 15.
17362
Convert 693 (base 10) to base 16.
2b5
140231 (base 6) to base 16
32fb
What is -11355 (base 10) in base 2?
-10110001011011
2743 (base 15) to base 6
102500
What is 9736 (base 11) in base 2?
11001001000001
-7c13 (base 13) to base 16
-440f
What is 219 (base 13) in base 10?
360
Convert -10a6a (base 11) to base 2.
-11111000110111
-142221 (base 5) to base 12
-3528
What is 37a9 (base 11) in base 7?
20313
f5c (base 16) to base 7
14315
10 (base 2) to base 15
2
Convert 96a4 (base 12) to base 2.
100000010011100
13302 (base 4) to base 3
200110
-221202211 (base 3) to base 11
-1312a
Convert 22200 (base 3) to base 4.
3222
What is -2214 (base 5) in base 4?
-10311
-111111001000 (base 2) to base 10
-4040
111101010111010 (base 2) to base 16
7aba
Convert 15183 (base 9) to base 6.
115550
-250 (base 11) to base 6
-1213
What is -22 (base 15) in base 16?
-20
What is -149 (base 16) in base 11?
-27a
Convert 23032 (base 6) to base 9.
4422
Convert 5c (base 16) to base 14.
68
Convert -7d (base 15) to base 14.
-86
What is 14b (base 16) in base 8?
513
Convert 1137d (base 15) to base 9.
83141
-a25 (base 11) to base 4
-103111
What is -399 (base 10) in base 7?
-1110
16513 (base 8) to base 13
354b
What is 3e9c (base 16) in base 6?
202112
10001011101010100 (base 2) to base 8
213524
Convert 3804 (base 13) to base 4.
1330023
-390 (base 14) to base 6
-3150
Convert -123 (base 4) to base 16.
-1b
Convert 32530 (base 7) to base 8.
17733
Convert 782 (base 9) to base 2.
1010000001
Convert -3744 (base 12) to base 4.
-1201210
Convert 89974 (base 10) to base 8.
257566
Convert -230332 (base 4) to base 5.
-43003
484 (base 11) to base 12
400
Convert 15e (base 16) to base 6.
1342
Convert -3351 (base 7) to base 16.
-4bc
Convert 1530 (base 10) to base 12.
a76
Convert -656 (base 16) to base 4.
-121112
2260 (base 11) to base 14
1122
What is -1101201022 (base 3) in base 15?
-822e
Convert -3042 (base 6) to base 14.
-362
1267 (base 9) to base 14
4c0
What is 23124 (base 7) in base 16?
170a
Convert -3735 (base 9) to base 16.
-ae2
Convert -486 (base 13) to base 4.
-30102
Convert 537 (base 10) to base 11.
449
-41252 (base 7) to base 8
-23542
Convert -111d (base 14) to base 10.
-2967
What is 291 (base 10) in base 16?
123
-660b (base 15) to base 2
-101010001101011
225b (base 15) to base 5
213121
-203565 (base 7) to base 13
-12b94
Convert 1959 (base 10) to base 13.
b79
Convert 566 (base 8) to base 4.
11312
Convert 10011 (base 8) to base 4.
1000021
705 (base 12) to base 5
13023
What is -37 (base 11) in base 13?
-31
What is -48651 (base 9) in base 4?
-13331200
Convert -253 (base 14) to base 15.
-210
1100011000 (base 2) to base 15
37c
What is -20102022 (base 3) in base 5?
-122204
-11101 (base 4) to base 2
-101010001
What is -11000021 (base 3) in base 14?
-10cb
-312113 (base 5) to base 16
-282b
1003 (base 9) to base 2
1011011100
What is 55 (base 9) in base 16?
32
What is -1101111001 (base 2) in base 8?
-1571
What is -1131 (base 6) in base 15?
-131
6f60 (base 16) to base 3
1110010000
Convert 2222211 (base 3) to base 11.
1704
Convert -24321 (base 11) to base 12.
-18300
Convert -223310 (base 5) to base 7.
-32123
Convert -7ca (base 14) to base 4.
-120032
Convert -7567 (base 13) to base 14.
-5d2d
Convert -1233310 (base 4) to base 13.
-3346
What is 5435 (base 8) in base 7?
11203
What is -1220210000 (base 3) in base 5?
-2201441
What is -211322 (base 4) in base 13?
-1148
Convert 3b7 (base 16) to base 10.
951
What is -29551 (base 10) in base 4?
-13031233
-43331 (base 5) to base 2
-101110010110
Convert -2303011 (base 4) to base 5.
-331321
-441 (base 13) to base 5
-10404
Convert -650 (base 8) to base 15.
-1d4
Convert 222335 (base 6) to base 11.
13067
Convert -30e8 (base 16) to base 6.
-133544
What is -ba8 (base 15) in base 7?
-10451
-33456 (base 8) to base 7
-56120
Convert 1ac9 (base 14) to base 12.
29a9
153ab (base 16) to base 9
142246
Convert -4771 (base 13) to base 6.
-114331
What is -2cc (base 13) in base 2?
-111111010
-a7cd (base 15) to base 4
-20222332
Convert 36265 (base 7) to base 4.
2102332
-10020303 (base 4) to base 2
-100001000110011
What is -1110110000100 (base 2) in base 15?
-238b
Convert -15362 (base 11) to base 13.
-9b74
Convert 220233 (base 4) to base 5.
40412
1412 (base 11) to base 16
724
126166 (base 7) to base 10
23764
-8930 (base 11) to base 10
-11770
-873 (base 15) to base 10
-1908
-64550 (base 7) to base 6
-202202
Convert 123 (base 13) to base 11.
170
Convert -2162 (base 10) to base 9.
-2862
11000000111000 (base 2) to base 16
3038
-1101101111100111 (base 2) to base 10
-56295
Convert -799 (base 14) to base 11.
-1150
What is -32244 (base 5) in base 4?
-202113
-2cc (base 14) to base 3
-210012
1253333 (base 6) to base 16
10f59
What is -45015 (base 6) in base 10?
-6275
Convert 1101010100011 (base 2) to base 3.
100100120
What is -223a (base 14) in base 7?
-23203
Convert 201211 (base 4) to base 2.
100001100101
aba (base 14) to base 3
2220200
Convert 2001123 (base 4) to base 3.
102100210
25a (base 11) to base 16
133
Convert -10001002201 (base 3) to base 15.
-12b01
-5020 (base 9) to base 4
-321033
What is -3741 (base 8) in base 9?
-2681
-1442 (base 5) to base 15
-117
-111212 (base 3) to base 14
-1ca
What is 15092 (base 10) in base 12?
8898
Convert -2031430 (base 5) to base 10.
-33365
Convert -89 (base 10) to base 5.
-324
Convert -25c (base 16) to base 7.
-1522
What is -14ab (base 12) in base 5?
-34220
Convert -302013 (base 4) to base 13.
-15c9
Convert -1c (base 14) to base 2.
-11010
What is 110120 (base 3) in base 14?
1a3
What is 318 (base 16) in base 8?
1430
Convert 203 (base 14) to base 4.
12023
What is -11ed4 (base 15) in base 6?
-1121301
Convert 7bbb (base 13) to base 12.
a094
1010111 (base 3) to base 2
1100110111
What is -41 (base 15) in base 13?
-49
What is 3192 (base 11) in base 2?
1000001110111
Convert -851 (base 9) to base 6.
-3114
Convert 12020 (base 3) to base 15.
96
Convert -866 (base 14) to base 8.
-3172
-310 (base 7) to base 15
-a4
-7854 (base 12) to base 5
-411222
Convert 848 (base 10) to base 15.
3b8
Convert -38553 (base 10) to base 12.
-1a389
Convert -3364 (base 7) to base 12.
-85a
What is -151a (base 11) in base 3?
-2200111
What is -58 (base 16) in base 5?
-323
Convert 410 (base 6) to base 13.
b7
What is 36d6 (base 15) in base 11?
8855
-c346 (base 13) to base 11
-19261
What is -1b02 (base 15) in base 16?
-16dc
What is 362 (base 13) in base 8?
1113
What is -15521 (base 10) in base 13?
-70ac
What is 3571 (base 15) in base 16?
2c5c
2470 (base 9) to base 2
11100110101
Convert 613 (base 11) to base 12.
518
What is e54 (base 16) in base 3?
12000212
5253 (base 7) to base 4
130323
Convert -f0b (base 16) to base 9.
-5248
What is -32032 (base 4) in base 16?
-38e
What is 54133 (base 6) in base 3?
101011010
What is -3762 (base 14) in base 3?
-111021220
What is -a8a (base 14) in base 9?
-2763
Convert 436 (base 14) to base 10.
832
What is -6041 (base 10) in base 15?
-1bcb
What is -477 (base 10) in base 15?
-21c
Convert -2553 (base 6) to base 7.
-1611
3133141 (base 5) to base 3
2122201220
Convert -402 (base 10) to base 13.
-24c
Convert 27607 (base 10) to base 2.
110101111010111
-1112302 (base 4) to base 2
-1010110110010
Convert -9d0 (base 15) to base 13.
-101a
What is 22b9 (base 12) in base 9?
5286
Convert -234240 (base 6) to base 11.
-14366
Convert 681 (base 9) to base 4.
20233
-26b5 (base 13) to base 4
-1112310
-112 (base 14) to base 10
-212
What is -25454 (base 6) in base 12?
-228a
240 (base 11) to base 10
286
Convert -93 (base 13) to base 8.
-170
2252 (base 7) to base 12
585
What is 3302210 (base 4) in base 8?
36244
Convert 2bd (base 14) to
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from nnnssssssnnns. Give prob of picking 2 n.
5/26
Two letters picked without replacement from ukejjkjjxxkjxxxookxo. Give prob of picking 1 e and 1 x.
3/95
Two letters picked without replacement from ccwyzncwzcyzcc. What is prob of picking 2 y?
1/91
Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {q: 10, x: 1, a: 2, n: 3}.
1/4
Two letters picked without replacement from {s: 9}. Give prob of picking 2 s.
1
Two letters picked without replacement from {z: 3, s: 1, m: 1, n: 5, e: 2, o: 1}. Give prob of picking 1 s and 1 o.
1/78
Calculate prob of picking 1 r, 1 a, and 1 h when three letters picked without replacement from ekarheehekee.
1/110
Three letters picked without replacement from zmmzzzzzzzmzzzzzzz. What is prob of picking 2 z and 1 m?
105/272
What is prob of picking 1 j and 1 v when two letters picked without replacement from xjxkvj?
2/15
Four letters picked without replacement from {z: 7, b: 6}. Give prob of picking 4 z.
7/143
Three letters picked without replacement from oaaoooaoooaooaoooa. Give prob of picking 3 a.
5/204
What is prob of picking 4 x when four letters picked without replacement from cxxxcxcxxxcxxxxcxxx?
1001/3876
Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {s: 1, r: 4, d: 3, m: 3, e: 6, c: 2}.
1/323
Calculate prob of picking 2 d when two letters picked without replacement from daaadd.
1/5
Calculate prob of picking 3 y when three letters picked without replacement from ycyyccyyyc.
1/6
Two letters picked without replacement from {s: 6, o: 7}. Give prob of picking 2 o.
7/26
What is prob of picking 2 p when two letters picked without replacement from lpiipplipi?
2/15
Calculate prob of picking 1 v and 1 e when two letters picked without replacement from fveyeveefftfevf.
1/7
Three letters picked without replacement from ccdckohhdckckchyko. What is prob of picking 1 k and 2 o?
1/204
Calculate prob of picking 2 e and 1 l when three letters picked without replacement from {l: 2, e: 3, q: 1, b: 3, c: 4, s: 4}.
3/340
What is prob of picking 2 p when two letters picked without replacement from yyyppyyy?
1/28
Calculate prob of picking 2 p when two letters picked without replacement from {q: 4, p: 7}.
21/55
Calculate prob of picking 2 h and 1 b when three letters picked without replacement from sysssqssqqshbqhbqb.
1/272
What is prob of picking 2 o when two letters picked without replacement from {o: 3, w: 7}?
1/15
What is prob of picking 2 k and 1 e when three letters picked without replacement from twyeeektywkyyse?
4/455
Three letters picked without replacement from iiiiiipipp. What is prob of picking 3 p?
1/120
Three letters picked without replacement from kkgxggskkegkkxk. What is prob of picking 1 k and 2 x?
1/65
Calculate prob of picking 2 f and 1 o when three letters picked without replacement from {y: 5, o: 3, f: 2}.
1/40
Three letters picked without replacement from uuwwuwfuwuwwlwfufw. Give prob of picking 2 u and 1 l.
5/272
Two letters picked without replacement from {t: 7, q: 2, d: 2}. What is prob of picking 2 q?
1/55
Two letters picked without replacement from {k: 1, y: 1, w: 1, t: 1, e: 3}. Give prob of picking 1 k and 1 w.
1/21
Calculate prob of picking 1 v, 1 k, 1 t, and 1 i when four letters picked without replacement from qqivkktvvqvtqt.
24/1001
Calculate prob of picking 1 z and 1 r when two letters picked without replacement from mzmeorwr.
1/14
Three letters picked without replacement from {u: 4, b: 3, y: 2}. What is prob of picking 1 u and 2 y?
1/21
Two letters picked without replacement from {z: 1, b: 6, q: 1, j: 1}. Give prob of picking 1 q and 1 b.
1/6
Two letters picked without replacement from {o: 3, b: 3, v: 2}. Give prob of picking 2 o.
3/28
Three letters picked without replacement from sissddddidddsidisdds. What is prob of picking 2 d and 1 s?
9/38
What is prob of picking 3 c when three letters picked without replacement from {i: 5, c: 5, j: 1, t: 1}?
1/22
What is prob of picking 1 s and 1 q when two letters picked without replacement from {s: 1, o: 3, n: 1, w: 1, q: 1}?
1/21
What is prob of picking 3 j when three letters picked without replacement from mjjjmjmjmmjmm?
10/143
What is prob of picking 2 c and 1 t when three letters picked without replacement from {c: 4, t: 10}?
15/91
Four letters picked without replacement from bzzzzzzbzzzzzb. What is prob of picking 4 b?
0
Calculate prob of picking 1 d and 1 x when two letters picked without replacement from mxkwdwwwxdd.
6/55
Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {t: 3, b: 5, k: 7, s: 2, z: 1, c: 2}.
7/95
Three letters picked without replacement from {p: 9}. Give prob of picking 3 p.
1
Two letters picked without replacement from bjjwjjbjjbwwjvwjjvb. What is prob of picking 1 b and 1 v?
8/171
Two letters picked without replacement from aahaaaaaaaaa. What is prob of picking 1 h and 1 a?
1/6
Two letters picked without replacement from cmwnnwnmynmcmn. What is prob of picking 1 y and 1 c?
2/91
Two letters picked without replacement from {j: 10, r: 5, c: 4}. Give prob of picking 1 j and 1 r.
50/171
What is prob of picking 1 w, 1 z, and 1 p when three letters picked without replacement from wzwppwwwwzw?
28/165
What is prob of picking 4 c when four letters picked without replacement from hcccchcchcchcccchcc?
1001/3876
Two letters picked without replacement from {x: 3, s: 1, u: 2, k: 6, a: 1}. What is prob of picking 1 a and 1 x?
1/26
What is prob of picking 1 m and 1 t when two letters picked without replacement from ttamuuu?
2/21
Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {f: 1, x: 1, t: 2, s: 2, h: 2}.
1/14
What is prob of picking 1 k and 1 e when two letters picked without replacement from {e: 2, k: 10}?
10/33
Four letters picked without replacement from teqiqxt. What is prob of picking 1 q, 1 i, 1 t, and 1 x?
4/35
Three letters picked without replacement from cciieiqqiiiqqih. What is prob of picking 1 i, 1 c, and 1 h?
2/65
What is prob of picking 1 n and 1 l when two letters picked without replacement from wvcvvcncwwvwlvynvwyv?
1/95
Two letters picked without replacement from tvttvvtttvtvtvtv. What is prob of picking 1 t and 1 v?
21/40
What is prob of picking 1 u and 1 t when two letters picked without replacement from {t: 6, u: 1, y: 11}?
2/51
Two letters picked without replacement from alalaramlal. What is prob of picking 2 a?
2/11
Calculate prob of picking 1 i and 1 y when two letters picked without replacement from diyiimoyiyioid.
18/91
Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {m: 2, f: 4, i: 2}.
1/14
Two letters picked without replacement from kdxddkxudx. What is prob of picking 2 k?
1/45
Three letters picked without replacement from bbbbpzbbu. Give prob of picking 2 b and 1 u.
5/28
What is prob of picking 2 y when two letters picked without replacement from {y: 3, p: 2, m: 1, v: 3, h: 1, q: 3}?
1/26
What is prob of picking 1 s and 2 w when three letters picked without replacement from {o: 4, w: 2, s: 1, d: 3}?
1/120
Four letters picked without replacement from oooooooooouuouuouooo. Give prob of picking 3 u and 1 o.
10/323
What is prob of picking 1 x and 1 p when two letters picked without replacement from {x: 1, p: 7, f: 6, w: 2, n: 2}?
7/153
Calculate prob of picking 1 x and 1 e when two letters picked without replacement from ijjseseejeigjxe.
1/21
Two letters picked without replacement from xuxuxuxuuuxxuxuxxuuu. What is prob of picking 2 x?
18/95
Calculate prob of picking 1 w, 2 i, and 1 o when four letters picked without replacement from iioboiwiowgwii.
135/1001
Two letters picked without replacement from {v: 5, x: 9, y: 4, r: 1, k: 1}. Give prob of picking 1 r and 1 y.
2/95
What is prob of picking 1 z and 1 h when two letters picked without replacement from {a: 1, z: 2, h: 1}?
1/3
What is prob of picking 1 j and 1 b when two letters picked without replacement from bjcjjcbjjbb?
4/11
Calculate prob of picking 2 d when two letters picked without replacement from {h: 1, d: 2, o: 11}.
1/91
Two letters picked without replacement from fppfpxxxp. Give prob of picking 2 x.
1/12
Four letters picked without replacement from {t: 9, q: 9}
|
{
"pile_set_name": "DM Mathematics"
}
|
of 6*g**3*o + 17211*g**3 - 494*g**2*o + 3921668*g*o - 5*g - o + 1 wrt g?
36*g*o + 103266*g - 988*o
What is the third derivative of 96*f**2*y**3 + 5*f**2*y**2 + 10*f**2*y + 12*f*y**3 - 16*f*y + 22858*y**3 - 3*y**2 - 535*y + 2 wrt y?
576*f**2 + 72*f + 137148
Find the third derivative of -18*m**2*n*x**2 - 6*m**2*n*x - 48*m**2*n - 12442223*m**2*x**3 - 114*m**2*x**2 - m*n*x**3 wrt x.
-74653338*m**2 - 6*m*n
What is the third derivative of -271345*i**3*o**3 - 43900*i**3*o**2 + 88*i**2*o**2 + 2*i*o**3 wrt o?
-1628070*i**3 + 12*i
Differentiate 129*c*q**4 - 3581*c*q + 486296*c + 2*q - 27 with respect to q.
516*c*q**3 - 3581*c + 2
Find the first derivative of 554*d**4 - 2018*d**2 - 64*d + 438182955 wrt d.
2216*d**3 - 4036*d - 64
What is the second derivative of -50698317*s**4 - 17999494*s + 2 wrt s?
-608379804*s**2
What is the derivative of -1628*c**3 + 215196*c**2 + 495889110 wrt c?
-4884*c**2 + 430392*c
Find the second derivative of -24025990*d**5 - 25060264*d.
-480519800*d**3
What is the second derivative of -11533680*v*z**2 - 11248977*v*z wrt z?
-23067360*v
Find the third derivative of 309*j**5*s + 92*j**3*s + 220*j**3 + 9251894*j**2 + s wrt j.
18540*j**2*s + 552*s + 1320
What is the second derivative of -20095*o**3 + 42*o**2 + 3*o - 190500 wrt o?
-120570*o + 84
What is the first derivative of 2420565*d**2*s + 5*d*s + s + 24710 wrt d?
4841130*d*s + 5*s
Differentiate -38858861*i**4 - 7738835 with respect to i.
-155435444*i**3
Find the first derivative of 11*k*z - 250893*k + 317465*z wrt k.
11*z - 250893
Differentiate 2*y**3 - 540*y**2 + 31104*y - 6722439 wrt y.
6*y**2 - 1080*y + 31104
What is the third derivative of 3325792*g**4 + 4*g**3 - 1564*g**2 - 2*g - 869?
79819008*g + 24
Find the second derivative of 6932724*m**2 - 26*m - 24389.
13865448
What is the third derivative of -254*c**4 + 17145*c**3 - 2*c**2 - 3603221*c?
-6096*c + 102870
What is the second derivative of 5*l**3 + 224462*l**2 + 4*l + 242518 wrt l?
30*l + 448924
Find the second derivative of 579*b**3*s**2*v + 9*b**3 - 24*b**2*s**3 + 3*b*s**3 + 3*b*s**2*v - 3129*b*s*v - v + 9 wrt b.
3474*b*s**2*v + 54*b - 48*s**3
What is the third derivative of -2401407*o**4 - 2*o**2 + 308*o + 3326?
-57633768*o
Find the first derivative of -679221085*l**2*w + 427*l**2 - 3*l + 33448 wrt w.
-679221085*l**2
Find the second derivative of 40963984*l**2 + 576516382*l wrt l.
81927968
Find the second derivative of 2*l**4 - 3452903*l**2 + 7681230*l wrt l.
24*l**2 - 6905806
Differentiate 704*d*v*y**2 + 15467*d*v*y + 7*d*v - 3*d*y**2 - 400773*d*y + 2*y**2 - 5*y + 2 with respect to v.
704*d*y**2 + 15467*d*y + 7*d
What is the derivative of -5*b**2*i - 3*b**2 - 796729*b*i - 5885064*i + 2 wrt b?
-10*b*i - 6*b - 796729*i
Find the second derivative of -3*f**3 + 428493*f**2 + 49720271*f.
-18*f + 856986
What is the third derivative of -1654281*f**6 + 2*f**4 + 2539811*f**2 wrt f?
-198513720*f**3 + 48*f
What is the second derivative of 55*q**3 - 1288696*q**2 - 352588117*q wrt q?
330*q - 2577392
Find the first derivative of -110*b*s*t**3 - 19*b*t - 121*b - 3*s*t**3 - 3*s - 12569*t**3 wrt b.
-110*s*t**3 - 19*t - 121
What is the second derivative of 2766132*f**3 - f**2 + 44921100*f wrt f?
16596792*f - 2
Find the second derivative of -891*i**3*w**2 + 72918*i**3*w - 80*i**2*w + 4385*w**4 wrt w.
-1782*i**3 + 52620*w**2
Differentiate -37*k*s**2 - 1700528*k + 4619140*s**2 with respect to k.
-37*s**2 - 1700528
Find the third derivative of 212297959*s**6 + 4*s**2 + 1953*s - 315.
25475755080*s**3
What is the first derivative of -527336*a**3 - 9462219 wrt a?
-1582008*a**2
Find the third derivative of 146971350*x**5 + 868796288*x**2.
8818281000*x**2
What is the first derivative of 2949867*f*t*w + 3*f*w**3 - 8847*f*w**2 - 16*t*w**3 - w**3 - 12*w**2 - 1 wrt t?
2949867*f*w - 16*w**3
Differentiate 2506146*z - 6395200.
2506146
Differentiate -34094517*o*t + 11371*o - 393 wrt t.
-34094517*o
Differentiate 129001151*a**2 + 867089362 wrt a.
258002302*a
Differentiate -101432031*y - 162767140 wrt y.
-101432031
Find the second derivative of 3*f**5 + 582066*f**2 - 1146*f - 762.
60*f**3 + 1164132
What is the second derivative of -849313316*t**2 + 1050786899*t?
-1698626632
Find the third derivative of -88508*l**3*o**3 - 92*l**3 + 2*l**2*o**3 - 4*l**2*o - 105783*l**2 - 5*o**2 wrt l.
-531048*o**3 - 552
Differentiate -79*a**2 + a*k**2 - 241*a*k + 19*a + 103555*k**2 + 277 wrt a.
-158*a + k**2 - 241*k + 19
Differentiate -5397602*g*s - 30457965*g with respect to s.
-5397602*g
Find the second derivative of 1837*j*n**2 - 919*j*n + 11770*j + 872*n**2 wrt n.
3674*j + 1744
Differentiate -16676*m**2*z + 214*m*z**2 - 15647596*z**2 with respect to m.
-33352*m*z + 214*z**2
Find the third derivative of -12*d**2*i**3 + d**2*i**2 - 3254*d**2*i - 2*d**2 + 42*d*i**3 - 28*d*i**2 + 1915*i**3 wrt i.
-72*d**2 + 252*d + 11490
What is the third derivative of 132290841*t**3 + 1428*t**2 + 14723*t wrt t?
793745046
What is the third derivative of -11819883*y**3*z**4 - 54*y**3*z**2 - 19*y**2*z**4 + 2*y**2*z**2 + 807*y**2*z - y**2 + 13*y - 2*z**2 wrt z?
-283677192*y**3*z - 456*y**2*z
What is the derivative of 146614097*r - 113222354 wrt r?
146614097
What is the first derivative of -49196759*p**2 + 13765724?
-98393518*p
What is the second derivative of 34*p**2*q - 14067394*p**2 - 2165*p*q + 110669 wrt p?
68*q - 28134788
What is the first derivative of 790005737*v + 260218675 wrt v?
790005737
What is the first derivative of 180447423*d**2*m*n**3 + 2*d*m*n**3 - 2*m*n**3 - m*n**2 - 21*m*n + 13*m - 2*n**3 - 92814*n wrt d?
360894846*d*m*n**3 + 2*m*n**3
Differentiate 336*l**4 - 4111*l**3 - 60728375.
1344*l**3 - 12333*l**2
Find the second derivative of -9565571*r**3 - 6631289*r.
-57393426*r
What is the third derivative of -974362060*d**4 - 2*d**2 + 17749*d + 109 wrt d?
-23384689440*d
What is the third derivative of 6080439*g**4*o**3 - 812*g**2*o**3 + 3336*g*o**3 wrt g?
145930536*g*o**3
What is the derivative of 228663259*z - 347079980 wrt z?
228663259
Find the second derivative of 2537*i**2*s**3 - 4666*i**2*s - 2*i*s**3 + 324*i*s + 4609*i - 2*s**3 wrt i.
5074*s**3 - 9332*s
What is the third derivative of 4*i**6 - 240*i**4 + 1527*i**3 + 71269631*i**2 + 1?
480*i**3 - 5760*i + 9162
Find the first derivative of 4048790*o**4 - 32*o**3 + 524093225 wrt o.
16195160*o**3 - 96*o**2
Find the first derivative of 5584523*b**2*s**4 - 65112*b**2 + 5*b - 2*s**4 wrt s.
22338092*b**2*s**3 - 8*s**3
What is the first derivative of a*w**3 + 74575*a*w - 28*a - 136*w**3 + 2*w**2 - 14*w + 95 wrt a?
w**3 + 74575*w - 28
Differentiate -162*b*c**2 - 3*b*c + 680*b - 2*c**2 + 64*c + 410608 wrt b.
-162*c**2 - 3*c + 680
Differentiate -5*y**4 + 93411*y**2 + 8*y - 83734348 with respect to y.
-20*y**3 + 186822*y + 8
Find the first derivative of 9983903*v*w**2 + 16009944*v wrt w.
19967806*v*w
What is the third derivative of -1290059*f**3*r**3 + 1375*f**3*r**2 + 16777*f*r**2 + 75*r**3 wrt r?
-7740354*f**3 + 450
Find the first derivative of 225758177*y - 97321904 wrt y.
225758177
What is the second derivative of 164079485*o**3 + 101105874*o?
984476910*o
What is the first derivative of 7155*w**4 + 14*w**3 + 4*w - 23304957?
28620*w**3 + 42*w**2 + 4
What is the second derivative of 43765559*k**3*o**2 + 17647*k**3 - 2*k**2*o**2 + 4*k*o wrt o?
87531118*k**3 - 4*k**2
Differentiate -50*a*c**3*o**2 + 750662*a*c**3 - c**3*o - 2*c**2*o**2 - c*o**2 + 133*c + 332*o**2 - 3 with respect to a.
-50*c**3*o**2 + 750662*c**3
What is the second derivative of -644400406*w**4 + 611373719*w wrt w?
-7732804872*w**2
Differentiate -861*r*w**3 - 50017570*r - 242521*w**4 with respect to w.
-2583*r*w**2 - 970084*w**3
What is the derivative of -111*c**3 + 1110326*c**2 + 168022645?
-333*c**2 + 2220652*c
What is the second derivative of -132738325*l**2 + 42*l + 1811457?
-265476650
Find the second derivative of 229790*a**2 + 2*a + 382196 wrt a.
459580
What is the derivative of 12*a**3*f**4 + 9207054*a**3 + 1473259*a*f**4 + 2*a wrt f?
48*a**3*f**3 + 5893036*a*f**3
What is the second derivative of -1363*u**4 - u**3 + 660*u**2 + 292*u + 1264?
-16356*u**2 - 6*u + 1320
Differentiate 102*q*w + 24666*q - 1057*w + 2270 wrt q.
102*w + 24666
What is the first derivative of -1231979966*i**3 + 206774056 wrt i?
-3695939898*i**2
What is the third derivative of w**6 + 19006
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(720))).
27*sqrt(5) + 1619
Simplify -4 + (sqrt(114) + 2*-3*sqrt(114) + sqrt(114))/((1*sqrt(66))/sqrt(11)).
-4*sqrt(19) - 4
Simplify sqrt(190)/(4*sqrt(90)) + 5*(sqrt(304) + 2)**2.
961*sqrt(19)/12 + 1540
Simplify (4*((sqrt(125) - (sqrt(125) + 1))*-5 - (-1*sqrt(125) + 0) - (sqrt(125)*-2 + -1)*5))**2.
17600*sqrt(5) + 243600
Simplify (2*-1*sqrt(17) - (sqrt(119)*-1)/sqrt(7)) + 2*(3*(-1 + sqrt(17)))**2 + 4.
-37*sqrt(17) + 328
Simplify (-3*(4 + sqrt(171) + sqrt(19) + sqrt(19) + (sqrt(228)*-1 + sqrt(228))/sqrt(12) + sqrt(19)))**2 + 0 + (5*sqrt(76) - (sqrt(19) + -1 + -1 + sqrt(19)))**2.
464*sqrt(19) + 7520
Simplify 5*((2*sqrt(1274) + sqrt(26))/(-6*sqrt(8)/sqrt(4) - sqrt(2))*-3)**2 + -4.
131429/49
Simplify (sqrt(847) + 1 + sqrt(847))**2 + (-1*sqrt(28)/sqrt(4) - sqrt(7)) - (((1*sqrt(112))**2 - sqrt(112)) + sqrt(7))*3.
51*sqrt(7) + 3053
Simplify ((1*(sqrt(1216) + sqrt(1216)*2) + 1*(sqrt(1216) + 0))**2 - 4*(6*(sqrt(1216) + -1))**2) + 1.
-155791 + 2304*sqrt(19)
Simplify 6*((3*(sqrt(117) + -2*sqrt(117)) + sqrt(117))**2 + -1 + 0 + sqrt(117)).
18*sqrt(13) + 2802
Simplify 6*(-6*(sqrt(171) - ((sqrt(171) + sqrt(171) + 1)*-5 + sqrt(171) - sqrt(171))))**2.
71280*sqrt(19) + 4474656
Simplify (-6*(1 + sqrt(1216)) + 1 + -5 + 4)**2.
576*sqrt(19) + 43812
Simplify (sqrt(396)*-6 - (6*(sqrt(99) - sqrt(99)*-2 - sqrt(99) - sqrt(99)))/sqrt(9)) + -3.
-42*sqrt(11) - 3
Simplify -3 + ((sqrt(1300) + 4*sqrt(1300)*1 + sqrt(1300) + (sqrt(1300) + -1)*1)*-1)**2.
-140*sqrt(13) + 63698
Simplify -1 + (4*(sqrt(147)/sqrt(63))/sqrt(3))**2.
103/9
Simplify (5 + (-1*sqrt(1100) + 1 - sqrt(1100)) + sqrt(1100) + 3*(sqrt(1100) + 0 - sqrt(1100)))*-6.
-36 + 60*sqrt(11)
Simplify ((sqrt(605) + 0)*-1 - (0 + sqrt(605) + 0))**2.
2420
Simplify ((sqrt(66)/(1*sqrt(11)))/((sqrt(192) - -1*sqrt(192)) + sqrt(192) + sqrt(192) + sqrt(192)) + -2 + -1)**2.
-3*sqrt(2)/20 + 7201/800
Simplify (sqrt(170)/(sqrt(1000)*-2 + sqrt(1000)))**2 - (5 + (sqrt(204)*-1 + sqrt(204))/sqrt(12))**2.
-2483/100
Simplify (sqrt(198)/(sqrt(54)/sqrt(9)))/((sqrt(891) - (sqrt(891) + 4*sqrt(891))) + sqrt(891) + sqrt(11)).
-sqrt(3)/26
Simplify ((sqrt(180) + -4*(-2 + sqrt(180) - sqrt(180)) + sqrt(180))*4 - (-2 + -1*sqrt(180))*6)**2.
7392*sqrt(5) + 37216
Simplify ((sqrt(192)/sqrt(4) + sqrt(48))/sqrt(4))/(sqrt(16)/sqrt(4)*1).
2*sqrt(3)
Simplify -4 + sqrt(475) + sqrt(475) + 2 - ((0 + sqrt(475) + 4)**2 - sqrt(475)).
-493 - 25*sqrt(19)
Simplify ((sqrt(66) - (1*sqrt(66) + sqrt(66))*5 - sqrt(66)) + -1*sqrt(66)*5)/(-3*(sqrt(486) + sqrt(486) + sqrt(486)*-1) + sqrt(486) - sqrt(486)).
5*sqrt(11)/9
Simplify 4*(sqrt(272) - ((2*sqrt(272))**2 + 3) - (5*(sqrt(272) + (sqrt(272) + 1)**2) + sqrt(272) - sqrt(272))).
-9824 - 224*sqrt(17)
Simplify ((sqrt(72) - (sqrt(72) - (3 + sqrt(72) + 0)) - sqrt(72) - (-2 + sqrt(72) + -1)) + (sqrt(72) + 0)*-5 + -3)**2.
-216*sqrt(2) + 2601
Simplify (-2 + sqrt(80)*-1 + -4*sqrt(80))**2.
80*sqrt(5) + 2004
Simplify (4 + 6*3*sqrt(396) + (-1 + sqrt(396) + -5)*3)**2.
-3528*sqrt(11) + 174832
Simplify (2*sqrt(32) + (sqrt(64)*1)/sqrt(8) + sqrt(8) - (sqrt(80)*2*-1)/sqrt(10)) + 0.
16*sqrt(2)
Simplify (sqrt(405)*4*2)**2 + ((sqrt(10) - sqrt(100)/(sqrt(10)*4 + sqrt(10)))/sqrt(2))**2.
129616/5
Simplify 4 + (3*4*sqrt(28)*1)**2 + 4 + -3.
4037
Simplify (2 + (sqrt(176) - (0 + sqrt(176))**2) - (-2*(sqrt(176) + (sqrt(176) - (sqrt(176) - 2*sqrt(176)))**2) - sqrt(176))) + 5.
16*sqrt(11) + 1239
Simplify -4*(sqrt(16) + sqrt(2592)/sqrt(2))/(3*(sqrt(8) - (sqrt(8) - sqrt(72)))).
-40*sqrt(2)/9
Simplify (2*(-4 + sqrt(539)*1) - (-4 + (sqrt(539) - (-1 + sqrt(539) + -5))))**2.
-280*sqrt(11) + 2256
Simplify (sqrt(1323)*4)/((sqrt(90) + sqrt(90)*-3)/sqrt(10)).
-14*sqrt(3)
Simplify sqrt(612) + (sqrt(612) - -4*sqrt(612)) + 4 + sqrt(612) + (sqrt(612) - (sqrt(612) + -4*sqrt(612) + -5))**2.
282*sqrt(17) + 9821
Simplify ((sqrt(4200) - sqrt(4200)*-1) + -6*1*sqrt(42))/(1*sqrt(150)*2).
7*sqrt(7)/5
Simplify -3 + -2*(sqrt(425) + -3)*5.
-50*sqrt(17) + 27
Simplify (-1*(sqrt(125) + -1)*-1)**2 - (4 + -2 + sqrt(80)).
-14*sqrt(5) + 124
Simplify (sqrt(539) + (2*(-3 + sqrt(539)) - sqrt(539)) + -6*(sqrt(539)*1 + sqrt(539)))*-2.
12 + 140*sqrt(11)
Simplify 2*((sqrt(243)*-2 - sqrt(3)) + (-1*4*sqrt(3))**2).
-38*sqrt(3) + 96
Simplify 3*sqrt(19)*1 - (sqrt(171)/(sqrt(9)*-2) - sqrt(19)) - (1 + -2 + sqrt(57)/sqrt(3) + 3).
-2 + 7*sqrt(19)/2
Simplify (4 + -3*(-2 + sqrt(2057) + 0) + -2)**2.
-528*sqrt(17) + 18577
Simplify (-5*-6*sqrt(270))/(sqrt(6)*1*-5 - (sqrt(72)*2)/sqrt(12)).
-90*sqrt(5)/7
Simplify (sqrt(320) + -1)**2 - (sqrt(50)/(1*sqrt(10)) + sqrt(5))**2 - (4*1*sqrt(5) + sqrt(5) + (sqrt(45)/(sqrt(36)/sqrt(4)))**2).
-21*sqrt(5) + 296
Simplify ((sqrt(28)/((sqrt(20) + sqrt(20) + sqrt(180))/sqrt(5)) - -2*(-3 + sqrt(1008)))*3)**2.
-13068*sqrt(7)/5 + 930483/25
Simplify ((sqrt(375) + sqrt(375)*4)*-4)/(sqrt(27)/(sqrt(36)/sqrt(4)) - 2*sqrt(108)).
100*sqrt(5)/11
Simplify (-2*2*(1 + sqrt(242) + -3) + 5)**2.
-1144*sqrt(2) + 4041
Simplify ((sqrt(143) + sqrt(143)*1*-3 + sqrt(143))/(-2*sqrt(176)) + -5*(sqrt(104) + sqrt(104) + sqrt(104) + sqrt(104)*-2*-6)/sqrt(8))**2.
4664413/64
Simplify (5 + sqrt(1053) + 1 + sqrt(1053) - (-2*(sqrt(1053) + -1) - sqrt(1053)))**2 + 1.
360*sqrt(13) + 26342
Simplify (1*(sqrt(242) - (sqrt(242)*2 + sqrt(242))) + 0 - (1 + (sqrt(242) - (sqrt(242) + sqrt(242)*-1 - sqrt(242) - sqrt(242))) + -4))**2.
-330*sqrt(2) + 6059
Simplify ((2*sqrt(2299) + -5 - (2 + sqrt(2299) + -2))*-2)**2.
-440*sqrt(19) + 9296
Simplify 1 + (((sqrt(80) - (sqrt(80) - -6*(sqrt(80) + 2*sqrt(80))) - sqrt(80))/sqrt(10))/(-1*(sqrt(4) + sqrt(8)/sqrt(2))*2))**2.
369/8
Simplify -1*2*((sqrt(243) + -2)*-2)**2.
-1976 + 288*sqrt(3)
Simplify (-3*(-5 + -3 + sqrt(637)*-1*-2))**2.
-2016*sqrt(13) + 23508
Simplify -6*(-1*sqrt(245))**2 + (sqrt(80) + -3*sqrt(80) + sqrt(80))**2*-6.
-1950
Simplify ((sqrt(70) - 4*(2*sqrt(70) - sqrt(70)))*5)/(sqrt(1210) + 2*sqrt(1210) + sqrt(1210) + 2*sqrt(1210)).
-5*sqrt(7)/22
Simplify (-1*sqrt(320))/(sqrt(576) + sqrt(576)*-2) + (5 + sqrt(10)/sqrt(2) - (sqrt(15)/sqrt(3))**2*1)*-5.
-14*sqrt(5)/3
Simplify 4 + ((2 + 2 + sqrt(2))*1)**2*-2.
-32 - 16*sqrt(2)
Simplify 0 + (sqrt(880)*3)/((sqrt(5) - sqrt(400)/sqrt(5)) + sqrt(5)).
-6*sqrt(11)
Simplify 5*(sqrt(1008) + sqrt(1008) + -1)**2 - (3 + sqrt(448)*-2)**2.
-144*sqrt(7) + 18364
Simplify (sqrt(50)/(sqrt(160) - sqrt(10)) + sqrt(30)/(sqrt(6) + sqrt(54)) + 0 + -2*sqrt(500))*-1.
233*sqrt(5)/12
Simplify -4*(-2 + 2*sqrt(153) + sqrt(153))**2*1.
-5524 + 144*sqrt(17)
Simplify ((sqrt(8640) + -1*sqrt(8640) + sqrt(8640) + sqrt(60))*6)/(sqrt(72)/sqrt(96) - (sqrt(180)/sqrt(3))/sqrt(5)).
-104*sqrt(5)
Simplify 1*sqrt(28) + ((sqrt(14)/sqrt(2))**2 + sqrt(7))*-5 - (sqrt(77)/(sqrt(11) - 3*sqrt(11)) + -3).
-32 - 5*sqrt(7)/2
Simplify -5 + sqrt(11) + 3*sqrt(33)/sqrt(3) + (sqrt(110)/(3*sqrt(90)))**2 + 0.
-394/81 + 4*sqrt(11)
Simplify sqrt(52)/(sqrt(8)/(sqrt(6)/sqrt(3)) + sqrt(4) + sqrt(4)) - ((sqrt(65)*2)/sqrt(5) + (sqrt(13) - ((sqrt(39)/sqrt(3) - sqrt(13)) + 5))).
-8*sqrt(13)/3 + 5
Simplify ((sqrt(176) + 0 + sqrt(176) + 0)*5 + 1 + 2)**2.
240*sqrt(11) + 17609
Simplify -3*4*(sqrt(20) - (sqrt(980) - -3*sqrt(980)))/(-1*sqrt(90)).
-108*sqrt(2)
Simplify (sqrt(42)/(sqrt(48)/(sqrt(24)/sqrt(3) + sqrt(8))) - (0 + (2*(sqrt(28) - sqrt(7)))**2))*-5.
-10*sqrt(7) + 140
Simplify (-1*sqrt(1694) + sqrt(1694))/((sqrt(8)/sqrt(2))/sqrt(2)).
0
Simplify -2 + sqrt(80) + -3*sqrt(45) + (sqrt(40)/((sqrt(8) + sqrt(128) - sqrt(8)) + sqrt(8)) - sqrt(40)/(1*sqrt(8))).
-29*sqrt(5)/5 - 2
Simplify (5 + (sqrt(1053) - sqrt(1053)*-1*2))**2 + -6*(-1*(-1 + sqrt(117)))**2.
306*sqrt(13) + 8794
Simplify 2*(sqrt(495) + -3*(sqrt(495) + 1*sqrt(495)))/(-6*(sqrt(80)*-2 - sqrt(80)) - sqrt(80)).
-15*sqrt(11)/34
Simplify sqrt(425) - (-2 + sqrt(425) + sqrt(425))**2*-6 - ((sqrt(2448)*-1*-5 + sqrt(2448))**2 - sqrt(2448)).
-77904 - 223*sqrt(17)
Simplify 5 + 6*(sqrt(112) - (sqrt(112) + 0)) + (2 + (sqrt(112) + 4)**2 - sqrt(112))*4.
112*sqrt(7) + 525
Simplify (sqrt(171) - (sqrt(171) - 6*2*sqrt(171)) - ((sqrt(228)*-2)/sqrt(12) + sqrt(19) + 0 + 4))**2.
-296*sqrt(19) + 26027
Simplify ((sqrt(91) - ((sqrt(91) - -2*sqrt(91)*1 - sqrt(91)) + sqrt(91)))/((4*sqrt(77))/sqrt(11)))**2.
13/4
Simplify -1 + ((sqrt(2430)*-1)/((sqrt(60)*1)/sqrt(10)))**2.
404
Simplify (2 + (sqrt(3) + 1*sqrt(3) + -4 - sqrt(432)*-1))**2 - (sqrt(1728) + sqrt(1728)*1)/(sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
ound d to the nearest 1000.
-16000
Let s(h) = -54465*h**2 + 565*h + 1130. Let a be s(-2). What is a rounded to the nearest 1000?
-218000
Let b = -105 - -110.7. Let n = -6.56 + b. Let k = 0.11 + n. Round k to 1 dp.
-0.8
Let s = 140 + -112. Let t be 6/8 - 175050925/s. Let n = t + 12851818. What is n rounded to the nearest 1000000?
7000000
Suppose x - 20693 + 70829 = 0. Let p be (-6 + -119)/((-3)/x). What is p rounded to the nearest 100000?
-2100000
Let d = 16.40844 + -16.41. Round d to 3 dps.
-0.002
Let f = -3514 + 3513.997686. What is f rounded to 5 decimal places?
-0.00231
Let q = 3.5201 - 3.383968. Let y = 0.1322 - q. Round y to four dps.
-0.0039
Let n = 44646676 + -17347650. Let j = -3422983 - n. Let t = -51922009 - j. Round t to the nearest 1000000.
-21000000
Let j be -1*(-12)/14*-7. Let s be (-34)/j + 18/54. Suppose -s*p = 39952 - 10072. Round p to the nearest one thousand.
-5000
Let x = -3266699 + 9659699. Round x to the nearest one hundred thousand.
6400000
Let m = 1210.064 - 1186. Let k = m + -24. Let b = k - 9.464. Round b to the nearest integer.
-9
Let h = -4.96 - -5.9. Let t = h + -0.8. Let p = -0.166 + t. Round p to one dp.
0
Let x = -0.7588 + 0.75865524. Round x to five decimal places.
-0.00014
Let h = 2.4172 + -5.7075. Round h to one dp.
-3.3
Suppose -8 = -d - 3*d. Suppose -8*h + 2*h = -d*h. Suppose 4*r - 8*r - 100 = h. What is r rounded to the nearest ten?
-30
Let w = -7 - 12. Let u = -71 - w. Let c = u + 51.9999979. What is c rounded to six decimal places?
-0.000002
Let m = 140 + -112. Let n = -27.767 + m. What is n rounded to one decimal place?
0.2
Let i(x) = -31*x + 90. Suppose -11 + 31 = -b. Let z be i(b). Round z to the nearest ten.
710
Let f = 1410231129.09117 + -1410300772. Let h = -69678.91 - f. Let c = h - -36. What is c rounded to four decimal places?
-0.0012
Let h = -213.99984368 + 214. Round h to 5 dps.
0.00016
Let y = 3.167 + -3.163078. Round y to 3 decimal places.
0.004
Let j = -36647304 + 36647303.31000094. Let v = 0.968 + -0.278. Let a = j + v. Round a to 7 decimal places.
0.0000009
Let z = -0.86654 + 0.908817. What is z rounded to 2 dps?
0.04
Let o = -1294412.388202 + 1294418. Let i = o - 5.61. Round i to four dps.
0.0018
Let s = -14.186380676 + 96.729325786. Let d = 124.5429444 - s. Let y = -42 + d. What is y rounded to 7 decimal places?
-0.0000007
Let p(d) = 8775*d**3 + d - 2. Let y be -3*(-1)/3 - -60. Let i = -59 + y. Let o be p(i). Round o to the nearest 10000.
70000
Let n be (-1200)/(-2)*(-400)/(-3)*16. Suppose -24*j - n = 8*j. Round j to the nearest one million.
0
Let b = 297.5 + -297.3613. Let z = -0.0248 - b. What is z rounded to 2 dps?
-0.16
Let v be 2272769996/90 + (-1312)/(-29520). What is v rounded to the nearest 1000000?
25000000
Let m = 1425.52 - 1350. Round m to the nearest 100.
100
Let t = -10841.42788 + 10842. Let i = -0.58 + t. Round i to 3 dps.
-0.008
Let x be 295250/((-12222)/(-720) + -17). Round x to the nearest one million.
-12000000
Let b be 3*1*(2/(-3) + 1). Let t be ((-15)/(-12))/(b/118808). Suppose -3*c = c + k - 118798, 5*c - 5*k = t. What is c rounded to the nearest 1000?
30000
Let g = 8040222271.5694033 - 6915786091.56940368. Let w = g + -1124436162. Let j = 18 - w. Round j to 7 decimal places.
0.0000004
Let j = 247.9639 - -0.0361. Let l = j - 455. Let p = 222.1 + l. What is p rounded to the nearest integer?
15
Let j = -17853108.0346367 - -17853104. Let t = -4.035 - j. Round t to four dps.
-0.0004
Let q = -40138 - -40137.9926436. Round q to three decimal places.
-0.007
Let g = 8.14 + -8. Let j = g + -17.14. Let z = 16.9 + j. Round z to one decimal place.
-0.1
Suppose 0 = -2*n + 5*g - 1239, -n = -g + 598 + 14. Let i(c) = c**3 + 3*c**2 - 7*c - 5. Let r be i(6). Let t = r + n. What is t rounded to the nearest 100?
-300
Let t(o) = 1710*o**2 - 71*o - 1. Let j be t(-2). Let l(u) = -u + 12. Let n be l(5). Suppose -20281 = n*a - j. Round a to the nearest 100.
-1900
Suppose -5*h = -5*f - 1015055, -3*h + 29*f = 27*f - 609041. What is h rounded to the nearest one thousand?
203000
Let u = 282.8 + 1225.2. Let b = u - 1506.179. What is b rounded to 1 decimal place?
1.8
Let d = 165.36 + -156. Let j = 9.36645 - d. Round j to four dps.
0.0065
Suppose 0 = 8*r - 5*r - 96907566 - 19591434. What is r rounded to the nearest 100000?
38800000
Let w = 260.22 + -284.6. Let u = 26 + w. Let j = u + -1.6200695. What is j rounded to 5 dps?
-0.00007
Let w = -494490827 - -494490925.6594052. Let i = -112.65941 + w. Let l = i - -14. Round l to six decimal places.
-0.000005
Let v = -1520.06 - -1753.5. Round v to the nearest one hundred.
200
Suppose -4*l - 168 = 8*l. Let d be 2/l + 13684983/(-119). What is d rounded to the nearest 10000?
-120000
Let t = -15.35 + 15. Let a = 0.312 + t. Let p = a - -0.037954. Round p to 5 decimal places.
-0.00005
Let s(m) = -m**3 - m**2 - m + 144. Let n(x) = x - 5. Let a be n(5). Let p be s(a). Suppose 0 = 13*d - 7*d + p. What is d rounded to 0 dps?
-24
Let k = 86114265 + -35304738. Let t = k - 50809529.8900123. Let v = 2.89 + t. What is v rounded to 6 dps?
-0.000012
Let j = 225.2683 - 225.42. What is j rounded to 3 decimal places?
-0.152
Suppose 2*n + 4 = 0, 460*y - 2*n = 465*y - 85991. What is y rounded to the nearest 1000?
17000
Let s(q) = 5*q + 80. Let a be s(-15). Suppose -a*p - 41400 = -2*p. What is p rounded to the nearest ten thousand?
-10000
Let n(i) = -i**2 - 6*i + 42. Let t be n(-8). Suppose 296783 + 189417 = -t*u. What is u rounded to the nearest one thousand?
-19000
Let g = 68.2009 + -35.9763. Let l = -91.9 - -91.8246. Let n = g - l. What is n rounded to the nearest integer?
32
Let m = -388.3 - -336. Let y = -26 - m. Let n = -29 + y. What is n rounded to the nearest 10?
0
Let j = 0.2964 + -0.2963944. What is j rounded to 7 decimal places?
0.0000056
Let h = 1736010.00007 - 1735973. Let x = 37.87 + -0.87. Let y = h - x. What is y rounded to 5 dps?
0.00007
Let d = -1347.1329 - -1385.13. Let u = 4.135 - -33.865. Let f = u - d. What is f rounded to three decimal places?
0.003
Let k = -1234 + -5997. Let r = 7230.9993954 + k. Round r to four dps.
-0.0006
Let j = 55910107 - -62799893. Round j to the nearest one million.
119000000
Let d = -2732.0000003865 + 2732. Round d to 7 dps.
-0.0000004
Let k = -0.38 + 0.296. Let x = 0.13 + k. Let f = x - 0.311. Round f to two decimal places.
-0.27
Let y = 11684 - 18117. Let a = y - -6433.03051. Round a to three dps.
0.031
Let k = 1073.2505 - -0.2495. Round k to the nearest ten.
1070
Suppose -82*d = -79*d - 21. Suppose -d*z = -980 - 448. Round z to the nearest one hundred.
200
Let n = 360401.186 + -360379.07597794. Let j = n + -22.11. What is j rounded to 6 decimal places?
0.000022
Let v = -0.0049 - -636.0049. Let s = v - 635.99581. Round s to three dps.
0.004
Let i = -0.0635 - -0.0582. Let q = 0.4197 - i. What is q rounded to one dp?
0.4
Suppose 5*u - 6*u = 2*d - 813367, 2*u = -11*d + 4473494. Round d to the nearest 100000.
400000
Let s = 2.1176 - 2.10218. What is s rounded to 3 decimal places?
0.015
Let d = 10491 - 2480. Let u = -31928 - -62317. Suppose u + d = 4*l. Round l to the nearest 1000.
10000
Let b = 1532.394 + -1534. Let k = 1.55 + b. Round k to 2 decimal places.
-0.06
Let z be (110 - -10)*-7 - -2. Let v(h) = -h**2 + 4*h - 2. Let n be v(4). Let t be (z + n)*-1*50. Round t to the nearest ten thousand.
40000
Let n = 11.01 - 0.01. Let d = -7.74 + n. Let h = d - 2.29. Round h to 1 decimal place.
1
Suppose -332 = 11*f - 365. Let x(z) = z**2 - 8*z + 2. Let o be x(8). Suppose -3*n - f = 0, -4*n = o*s - 4*s + 5724. Round s to the nearest 100.
2900
Let a = 41504034412.99999403 - 41504035613. Let n = a + 1200. What is n rounded to 6 decimal places?
-0.000006
Let c = 1242.2 - 1776.8. What is c rounded to the nearest 100?
-500
Let s = -0.1937 - -0.214809. Round s to four dps.
0.0211
Let o = 61410 - 186209. Let v(s) = 3037*s**3 - 13*s**2 + 44*s + 11. Let d be v(6). Let h = d + o. Round h to the nearest one hundred thousand.
500000
Let k = 793.37 - 793.3741253. What is k rounded to 3 decimal places?
-0.004
Let l = -2026 + 2026.28136. What is l rounded to 3 decimal places?
0.281
Let j = -9.31 + 8.226. Let i = 1.08397068 + j. Round i to six decimal places.
-0.000029
Let l = -44916.4 - -53709. Let j = 8858.6235 - l. Let g = -66 + j. Round g to 3 d
|
{
"pile_set_name": "DM Mathematics"
}
|
Let z = m + -0.38. What is z rounded to the nearest integer?
-8
Let b = 3098330256039 + -3098348884238.00067. Let l = b - -18628286. Let g = -87 + l. What is g rounded to 4 dps?
-0.0007
Let l = 835 + 765. Round l to the nearest 1000.
2000
Let a(i) = -3*i**2 + i**2 + 3*i + i**2. Let j be a(3). Suppose -v + 47 = -3*r - 27, j = 4*r + 8. What is v rounded to the nearest ten?
70
Suppose -14*j = -13*j + 297. Round j to the nearest ten.
-300
Let q = 7 + -9.2. Let s = q + 1. Let v = 1.136 + s. Round v to two decimal places.
-0.06
Let h = 175 + -115. Let a = h + 60. What is a rounded to the nearest 100?
100
Suppose -2*z + 3328707 = z. Let b = 2209569 - z. Round b to the nearest one million.
1000000
Let x be -34317 - (-7 + 3)/4. Let b = x + 20116. What is b rounded to the nearest 1000?
-14000
Let v = -0.04 + 1.04. Let m = v + -0.99. Let g = m + -0.00998. Round g to five dps.
0.00002
Let f = 1235.8590782 - 1235.83. Let r = -9.9704818 - f. Let l = r + 10. What is l rounded to 4 decimal places?
0.0004
Let o = -4.9 + 28.9. Let c = 24.00114 - o. Round c to 4 dps.
0.0011
Let f = -443 - -443.0000327. What is f rounded to 5 dps?
0.00003
Let g = 0.539 + -0.049. Let c = g - 0.4899863. What is c rounded to six dps?
0.000014
Let n = 442 - 441.999999267. What is n rounded to seven dps?
0.0000007
Suppose -5*n = -9088021 + 38088021. What is n rounded to the nearest 1000000?
-6000000
Let n = -33 - -21.5. What is n rounded to 0 decimal places?
-12
Suppose -10600004 = 2*y + 2*s, 2*y - 3*y - 5300006 = 3*s. Round y to the nearest 1000000.
-5000000
Let x = -0.046 - -21.046. Let m = x - 12. Let f = -9.0012 + m. Round f to three decimal places.
-0.001
Let p = 0.0619715 - 0.062. What is p rounded to 6 decimal places?
-0.000029
Let v = 119310.2 - 119297.25587. Let s = -0.07387 - v. Let q = 13 + s. What is q rounded to two dps?
-0.02
Let s = -139 + 138.99999886. What is s rounded to seven dps?
-0.0000011
Let l = -52 + 52.108. Let f = -0.10739 + l. What is f rounded to 4 dps?
0.0006
Let r = -338974 + 338989.8893. Let b = 15.9 - r. Round b to three dps.
0.011
Let a(v) = -1827*v + 8. Suppose 0*x - 7 = x. Let d be a(x). Suppose -4*s - 23603 = d. Round s to the nearest one thousand.
-9000
Let j = -7 + 0. Let p = 6.99995 + j. What is p rounded to 4 decimal places?
-0.0001
Let m be 100608/(-14) - 6/(-21). Let v = m + 4536. What is v rounded to the nearest 100?
-2700
Let n = -24 + 1. Let q = n + 22.9999904. Round q to 6 dps.
-0.00001
Let l = 6.6 - 6.60038. What is l rounded to 5 decimal places?
-0.00038
Let b = -1229 - -1228.1601. Let v = b - -0.83. Round v to 3 decimal places.
-0.01
Let z = 14 + 24. Let c = z - 38.34. What is c rounded to one decimal place?
-0.3
Let q = -1271.38 + 1256. Let n = 1.18 + q. Round n to zero decimal places.
-14
Let x = 68.9 - 8.9. Let t = x + -58.07. Round t to one decimal place.
1.9
Let l = -257.387 + -0.613. Let h = -257.897 - l. Round h to 2 dps.
0.1
Let q = -3102544913 + 3102544839.00000033. Let z = -106 - -32. Let d = z - q. Round d to seven dps.
-0.0000003
Let a be (4/2)/((-10)/(-128417965)). Suppose a = 5*n + 8683593. What is n rounded to the nearest one million?
3000000
Let z = 1344785.399948 + -1344782. Let s = 3.4 - z. Round s to five dps.
0.00005
Let v = 34 + -34.0094. Round v to three decimal places.
-0.009
Let z(q) = 21*q**2 - 2*q + 1. Let i be z(-3). Let x(h) = -42*h + 8. Let d be x(7). Let t = d + i. What is t rounded to the nearest 100?
-100
Let a(p) = 30251*p**2 + 10*p + 24. Let s be a(-4). What is s rounded to the nearest 100000?
500000
Let t = -2640183887.797 + 2639746726.7970044. Let o = t + 437169. Let j = o + -8. Round j to 6 decimal places.
0.000004
Suppose s = 4*p - 2*s - 1360000, -2*p - 4*s + 680000 = 0. What is p rounded to the nearest 100000?
300000
Let s = -25.000122 - -25. What is s rounded to five dps?
-0.00012
Let o = -8.8 - -8.7999926. Round o to six decimal places.
-0.000007
Let z = 126.4062124 - 138.20621301. Let p = z - -11.8. What is p rounded to 7 dps?
-0.0000006
Let i be (1 + 2)/(-3) - 159. What is i rounded to the nearest one hundred?
-200
Let w = 31 - 62. Let q = 30.99895 + w. Round q to four dps.
-0.0011
Let k = 0.05 - -40.95. Let n = k - 42.7. Let p = n - -1.6999964. Round p to 6 dps.
-0.000004
Let b = -14.1 - -72.1. Let q = -60.9 + b. What is q rounded to 0 decimal places?
-3
Let y = 5615.87366838 + -5661.873668. Let z = y + 46. Round z to 7 dps.
0.0000004
Let c(u) = -2 + 7024*u**2 - 1 - 8*u + 4 + 7. Let m be c(-11). What is m rounded to the nearest one hundred thousand?
900000
Let x be (-11)/((-55)/(-1110)) - -2. Round x to the nearest one hundred.
-200
Let b(d) = 1158*d**3 + 3*d**2 - 2*d + 8. Suppose 0 = -4*f - 16 - 8. Let u be b(f). What is u rounded to the nearest 100000?
-300000
Let m = 92 + 48. Let a = m - 127.2. Let x = -18.7 + a. Round x to 0 dps.
-6
Let y = 0.577 + -0.6. Round y to 2 dps.
-0.02
Suppose 8*t - 50 = 13*t. Let w be ((-2)/(-4))/(t/860). Round w to the nearest ten.
-40
Let r be ((-1)/(-2))/(2/8). Suppose 0 = -2*j - r*h - 1600, -5*j - 2343 = 2*h + 1657. Round j to the nearest 1000.
-1000
Let m = 356 + -355.284. What is m rounded to one decimal place?
0.7
Suppose -3*o + 39 + 4 = -5*j, 12 = -3*o. Let n = j - -7. Let t(k) = 120312*k**3 - k**2 + 3*k - 4. Let h be t(n). Round h to the nearest one million.
-8000000
Let f = -0.12 + 0.212. What is f rounded to 2 decimal places?
0.09
Suppose 2*a - 5*l = -42225, -l - 84425 = 4*a - 6*l. Round a to the nearest 1000.
-21000
Let n = 3 + -3.04. Let q = 18.13968 + -18.1. Let f = n + q. Round f to four dps.
-0.0003
Let d = 848 - 849.973. Let i = d - -2. What is i rounded to two dps?
0.03
Suppose -3*f + 2*f = 0. Let s be 0 - 539 - (1 + f). Round s to the nearest one hundred.
-500
Let o = 1226100 - 716100. Round o to the nearest 100000.
500000
Let w(z) = 13*z**3 + 11*z**2 - 5*z + 12. Let q be w(-8). What is q rounded to the nearest 1000?
-6000
Let b = -56.9554 + 70.83. Let a = b - 13.944591. Let r = a + 0.07. Round r to 5 dps.
0.00001
Let i = 14 + -1. Let u(q) = -13 + 68*q**2 - 3*q + i. Let s be u(-4). What is s rounded to the nearest 1000?
1000
Let d = -64 - -202. Let p = 135.93 - d. What is p rounded to one decimal place?
-2.1
Let x(h) = -h**3 - 6*h**2 - 6*h - 1. Let k be x(-5). Suppose k = n - 46. Suppose 0 = -b - 2*q - n, 5*b + 0*q + 3*q = -215. Round b to the nearest 100.
0
Let q = 205 - 185.9. What is q rounded to 0 dps?
19
Let t(y) = y**2 + y + 3. Let a be t(0). Let i be 3/a - 949999/(-1). Round i to the nearest 100000.
1000000
Let c = -4487242 - -2766225.2. Let w = c + 1721017.19000095. Let x = w + -0.39. Round x to seven decimal places.
0.000001
Let y = -1.22 - -1.21999923. What is y rounded to seven decimal places?
-0.0000008
Let r = 9.77 - 0.02. Let m = r - -0.25. Let s = m + -8.8. Round s to one dp.
1.2
Let b = -2 - -3. Let y = 1.14 - b. What is y rounded to 1 decimal place?
0.1
Suppose -2*d = 14 - 0. Let r = 12 + d. Suppose -r*u - 4*s + 11500016 = -10*u, 4*s - 6900016 = 3*u. Round u to the nearest 1000000.
-2000000
Let c be 1/(-2) + (-3996)/8. Round c to the nearest one hundred.
-500
Suppose 0 = -2*r - 2*p - 66, -2*p + 193 = -3*r - 2*r. Let j = r - -427. What is j rounded to the nearest 100?
400
Let j = 895.69 + -895.6300005. Let l = j + -0.06. Round l to six dps.
-0.000001
Let d be -59*(3 + (-8 - -2)). Suppose 5*u - 2*u = -d. Round u to the nearest 10.
-60
Let l = 2.2257 + 5.7735. Let q = 8 - l. Round q to three dps.
0.001
Let m = 410.39 - 406. Let s = m - 22.69. Round s to zero dps.
-18
Let b = -65654 + 31654. What is b rounded to the nearest 10000?
-30000
Let u = 1.6 - 0.9. Let d = u + -0.78. What is d rounded to 1 decimal place?
-0.1
Let m = 0.063 - 41.063. Let g = 40.942 + m. Round g to 2 dps.
-0.06
Let z(n) = 3033*n**3 + 8*n**2 + 3*n - 4. Let g be z(-4). What is g rounded to the nearest 10000?
-190000
Let j = -34 + 35.7. Let w = j - 1.700046. Round w to 5 decimal places.
-0.00005
Let y = -22299.16 + 22291.9389936. Let x = -7.321 - y. Let z = 0.1 + x. Round z to six decimal places.
0.000006
Let y be 6 + -3 + 3*-1. Suppose 0 = -4*r - y*r + 150040. Suppose -u = 2*z - 24995, 3*z - 4*u + 2*u - r = 0. What is z rounded to the nearest one thousand?
13000
Let k(o) be the third derivative of -11285*o**4/24 + 5*o**3/6 - 2*o**2. Let w be (7/(-3))/((-2)
|
{
"pile_set_name": "DM Mathematics"
}
|
8
Let b(t) = t**3 - 121*t**2 + 1900*t + 604. Calculate b(19).
-118
Let r(h) = 88*h - 1449. What is r(20)?
311
Let h(n) = -12*n**2 - 45*n + 145. Give h(3).
-98
Let l(o) = 1041*o - 78518. What is l(78)?
2680
Let t(z) = 312*z - 1943. What is t(7)?
241
Let h(v) = 13*v**2 - 47*v - 14274. Calculate h(35).
6
Let k(w) = w**2 + 3464*w + 197626. Give k(-58).
78
Let j(f) = f**3 - 94*f**2 + 384*f - 27051. Give j(93).
12
Let p(m) = -m**3 + 4*m**2 + 85*m + 43. Give p(-8).
131
Let j(n) = -39*n**2 - 152*n + 411. What is j(-6)?
-81
Let z(g) = -19*g**2 - 10099*g - 5302. Calculate z(-531).
8
Let s(y) = 2*y**2 - 678*y + 2218. What is s(336)?
202
Let v(l) = -472*l - 59278. What is v(-126)?
194
Let o(h) = -11676*h + 186807. Determine o(16).
-9
Let o(c) = 7*c**2 + 55*c + 76. What is o(-8)?
84
Let d(u) = u**3 - 125*u**2 - 12*u + 31750. Determine d(123).
16
Let q(z) = 7219*z - 72187. Give q(10).
3
Let q(m) = 1268*m**2 - 583284*m + 1850. Calculate q(460).
10
Let z(j) = -53442*j + 373977. Determine z(7).
-117
Let i(s) = 542*s + 61827. What is i(-114)?
39
Let y(a) = -a**3 - 1208*a**2 - 267471*a + 909. Give y(-916).
-7
Let d(m) = -40*m - 2941. Give d(-21).
-2101
Let p(t) = -2199*t + 6507. Calculate p(3).
-90
Let i(y) = -7*y**3 + 547*y**2 - 114*y + 1264. Determine i(78).
-1544
Let m(j) = -2429756*j + 43735602. Calculate m(18).
-6
Let r(d) = 1919*d - 729208. Give r(380).
12
Let u(o) = o**3 - 121*o**2 - 403*o + 2135. Give u(124).
-1709
Let k(n) = -11*n**2 + 150*n + 3539. What is k(26)?
3
Let c(r) = 2*r**3 - 332*r**2 + 5590*r - 466. Calculate c(147).
122
Let a(c) = -22349*c + 67058. Calculate a(3).
11
Let v(s) = 4*s**2 - 143*s + 761. What is v(8)?
-127
Let r(z) = z**3 - 22*z**2 - 37900*z + 720. Determine r(-184).
-16
Let d(u) = -u**3 + 201*u**2 - 345*u + 110725. Calculate d(202).
231
Let p(h) = -41*h**2 + 13*h + 725. Determine p(-4).
17
Let z(o) = -2*o**3 + 362*o**2 - 366*o + 1011. Calculate z(180).
-69
Let k(c) = c**2 + 158124*c + 2055455. What is k(-13)?
12
Let o(i) = -275*i + 28134. Determine o(102).
84
Let q(s) = -1306*s - 5138. Determine q(-4).
86
Let u(s) = -406*s + 56128. Give u(139).
-306
Let o(c) = -310368*c - 4034781. Calculate o(-13).
3
Let n(c) = 2*c**2 - 2728*c + 46064. Give n(17).
266
Let v(s) = -4942*s - 17910. Calculate v(-4).
1858
Let u(c) = -6588*c + 1067268. Calculate u(162).
12
Let z(o) = -14578*o - 306112. Determine z(-21).
26
Let p(d) = 32460*d - 97413. Give p(3).
-33
Let a(g) = 56*g - 209. What is a(12)?
463
Let p(a) = -14246*a - 626887. Calculate p(-44).
-63
Let k(g) = -3*g**2 + 82*g - 441. What is k(22)?
-89
Let c(o) = o**2 - 187395*o - 1124384. Give c(-6).
22
Let x(u) = -1121*u**2 - 227*u. Give x(1).
-1348
Let a(m) = -161*m**2 - 6259*m + 769. Calculate a(-39).
-11
Let u(p) = 3831*p + 19346. Calculate u(-5).
191
Let n(g) = 5*g**2 - 4*g - 1328. Give n(-22).
1180
Let v(m) = -3*m**2 + 189*m + 24. Give v(63).
24
Let p(i) = 3*i**3 + 866*i**2 + 25087*i - 274. What is p(-256)?
-18
Let n(f) = 2*f**3 + 43*f**2 + 2088*f + 43421. Determine n(-21).
14
Let j(s) = 439*s**2 - 4410*s - 4409. Determine j(-1).
440
Let y(t) = 15*t**2 + 2693*t + 18885. What is y(-7)?
769
Let p(w) = 10344*w + 165526. Give p(-16).
22
Let v(h) = 1004*h + 230908. Determine v(-230).
-12
Let u(a) = -9*a**3 + 12*a**2 - a + 133. Give u(-7).
3815
Let f(h) = 120982*h + 2540601. Calculate f(-21).
-21
Let o(k) = 168*k**2 + 20320*k - 867. What is o(-121)?
101
Let o(r) = r**3 + 30*r**2 - 143*r - 5. Determine o(-34).
233
Let u(b) = b**3 + 143*b**2 + 3334*b + 1922. What is u(-114)?
-1270
Let o(u) = -u**3 + 26*u**2 + 82*u - 1468. What is o(27)?
17
Let c(x) = -7560*x + 332633. Determine c(44).
-7
Let t(w) = -w**3 + 89*w**2 - 578*w + 279. Determine t(82).
-49
Let n(y) = 7*y**3 - 91*y**2 - 391*y - 10. What is n(-4)?
-350
Let z(a) = 176547*a - 7768060. Determine z(44).
8
Let x(k) = 8*k**3 + k**2 - 36*k + 67. Determine x(2).
63
Let x(k) = 895*k + 10152. What is x(-11)?
307
Let w(g) = -24506*g - 220629. What is w(-9)?
-75
Let b(s) = -s**2 + 3200*s + 28865. Calculate b(-9).
-16
Let k(f) = f**3 + 19*f**2 + 1593*f + 41099. Give k(-24).
-13
Let q(x) = -161700*x + 6791403. What is q(42)?
3
Let f(t) = -1790*t - 1857. Give f(-1).
-67
Let y(t) = -6*t - 1631. What is y(-225)?
-281
Let h(g) = -g**3 + 34*g + 423. Give h(9).
0
Let l(u) = 161*u + 5187. What is l(-32)?
35
Let h(q) = -q**3 - 13*q**2 + 80*q + 510. Give h(-16).
-2
Let y(l) = 2224*l - 887384. What is y(399)?
-8
Let z(t) = 499*t**2 + 13918*t - 1510. Calculate z(-28).
2
Let o(j) = 2*j**3 + j**2 + 78*j - 80. Give o(1).
1
Let s(i) = i**3 - 117*i**2 + 684*i + 9499. Give s(110).
39
Let l(g) = -g**3 - 14*g**2 - 7*g - 22. Determine l(-11).
-308
Let x(v) = -67*v**2 + 739*v + 3748. Give x(-5).
-1622
Let p(x) = -27*x**3 + 7*x**2 - 157*x - 478. Determine p(-3).
785
Let c(f) = f**2 - 825*f + 4076. Give c(5).
-24
Let b(g) = -7*g**3 - 600*g**2 + 203*g + 2665. Determine b(-86).
-1
Let f(l) = 2*l**3 - 16*l**2 + 136*l - 2784. Give f(12).
0
Let z(k) = -4625*k - 739996. What is z(-160)?
4
Let c(l) = 929697*l + 7437578. Determine c(-8).
2
Let a(d) = -d**3 - 166*d**2 - 203*d - 7678. Give a(-165).
-1408
Let u(t) = 4681*t + 1001740. Calculate u(-214).
6
Let v(f) = 392*f + 548. Calculate v(1).
940
Let r(g) = 2*g**3 + g**2 - 265*g - 1122. Calculate r(13).
-4
Let u(a) = -8*a**2 + 808*a - 20362. Determine u(50).
38
Let l(p) = p**3 + 135*p**2 - 1280*p - 3545. What is l(11)?
41
Let q(n) = 1112*n - 216886. Give q(195).
-46
Let l(x) = 49185*x - 393448. Give l(8).
32
Let d(z) = -z**3 - 204*z**2 - 8885*z - 1713159. Calculate d(-202).
3
Let h(y) = -18*y**2 - 188*y - 318. What is h(-12)?
-654
Let w(u) = 1124*u**2 - 18010*u + 393. What is w(16)?
-23
Let l(r) = 3*r**3 - 39*r**2 - 601*r + 77. Determine l(22).
-77
Let z(s) = s**3 - 79*s**2 - 5*s - 607. What is z(79)?
-1002
Let g(s) = -389*s + 13140. Calculate g(30).
1470
Let y(j) = -37*j**2 - 1571*j + 851. Give y(-43).
-9
Let n(k) = 6*k**2 + 421*k - 20843. Determine n(-104).
269
Let k(i) = 18626*i + 167626. Calculate k(-9).
-8
Let k(v) = -90*v - 1087. Calculate k(4).
-1447
Let y(u) = u**3 - 21*u**2 + 9743*u - 174431. Give y(18).
-29
Let u(c) = 7361*c - 603458. What is u(82)?
144
Let s(b) = -b**3 - 402*b**2 - 26440*b + 3099. Give s(-83).
28
Let f(k) = -1147*k + 3518. What is f(3)?
77
Let c(b) = -b**3 - 6*b**2 + 2757*b + 21866. Give c(-8).
-62
Let c(z) = -10754*z - 107545. Calculate c(-10).
-5
Let s(u) = u**2 - 995*u + 73223. Calculate s(81).
-811
Let w(r) = -9*r**3 + 5925*r**2 - 2006*r + 21061. Give w(658).
5
Let v(w) = w**3 - 28*w**2 + 192*w - 2558. Calculate v(25).
367
Let l(o) = -o**3 + 36*o**2 - 247*o - 247. Determine l(28).
-891
Let o(y) = -5*y**2 - 313*y + 9793. What is o(27)?
-2303
Let q(j) = 52*j**2 - 1096*j - 6765. Give q(-5).
15
Let z(i) = 3*i**3 - 73*i**2 + 30*i + 10. Give z(0).
10
Let k(r) = r**3 + 22*r**2 - 198*r + 359. Give k(-29).
214
Let q(w) = -w**3 + 203*w**2 + 201*w - 244. Give q(204).
-856
Let n(u) = 302*u**2 + 12995*u + 335. Calculate n(-43).
-52
Let k(y) = 574*y + 2349. Determine k(-4).
53
Let j(q) = 6*q**2 - 5935*q - 41826. What is j(-7)?
13
Let z(k) = -172*k**3 - 855*k**2 + 305*k + 1381. What is z(-5)?
-19
Let i(y) = 18*y**2 + 1254*y - 8677. What is i(-76)?
-13
Let w(x) = 74*x**2 + 7721*x - 37617. Determine w(-109).
-12
Let p(v) = -71620*v - 1145949. What is p(-16)?
-29
Let w(i) = -i**2 - 4637*i - 83166. Determine w(-18).
-24
Let o(s) = -61*s + 280. Give o(6).
-86
Let u(l) = 5*l**3 + 907*l**2 + 364*l + 387. Give u(-181).
25
Let v(f) = 352*f**2 + 40478*f - 275. Calculate v(-115).
-45
Let w(q) = q**3 + 125*q**2 + 2717*q + 85. Give w(-97).
-12
Let a(x) = -5989*x + 239563. What is a(40)?
3
Let y(g) = -g**2 - 2153*g - 149827. Calculate y(-72).
5
Let o(i) = 51285*i - 7385040. Give o(144).
0
Let b(w) = -7*w**2 - 3074*w + 6144. Give b(2).
-32
Let q(z) = -z**3 - 102*z**2 + 20501*z + 235. Give q(101).
33
Let t(r) = 33596*r - 503676. Calculate t(15).
264
Let u(t) = -3870*t + 328870. Give u(85).
-80
Let y(f) = -1426*f**2 + 868436*f - 1210. Determine y(609).
8
Let l(c) = -c**2 - 575*c + 106891. Give l(148).
-113
Let y(j) = -20902*j + 61371. Give y(3).
-1335
Let i(y) = -404*y - 86963. Calculate i(-216).
301
Let f(m) = -10*m**3 - 2043*m**2 - 627*m - 3064. Calculate f(-204).
-4
Let c(y) = 7747*y + 263359. Determine c(-34).
-39
Let i(y) =
|
{
"pile_set_name": "DM Mathematics"
}
|
92*d**2*r - 5*d*r - 15583*d wrt d.
24*d**2*r - 6*d + 2184*r
Find the third derivative of -3*l**3*p - 47829*l**3 + 2289*l**2 + 21*p wrt l.
-18*p - 286974
Find the first derivative of 5*n**4 - 359900*n + 369364.
20*n**3 - 359900
What is the first derivative of 4*q*s**3 - 261326*q*s - s**3 - 61*s**2 - 5*s + 30 wrt q?
4*s**3 - 261326*s
What is the first derivative of 3*n*o - 2252281*n - 245572*o wrt o?
3*n - 245572
Differentiate 377476*r**2 + 90637 with respect to r.
754952*r
What is the second derivative of -586755*m**2 - 851116*m?
-1173510
What is the first derivative of 2627358*y - 1583390?
2627358
What is the second derivative of 2*b**3*h**2 - 77277*b**3*h - 28476*b**2*h**2 wrt h?
4*b**3 - 56952*b**2
What is the second derivative of -4300*y**3 + 6*y**2 - 822420*y wrt y?
-25800*y + 12
Find the second derivative of 52*i**3*x**3 + 7*i**3 - i**2*x**3 + i*x**3 - 11*i*x - i + 2782*x wrt i.
312*i*x**3 + 42*i - 2*x**3
Find the third derivative of 405*q**5 + 3*q**4 + 21*q**3 + 1572*q**2 + 49.
24300*q**2 + 72*q + 126
What is the second derivative of 24617*v**2*w - 46*v*w + 39*v wrt v?
49234*w
What is the third derivative of -91*g**5 - 6062*g**3*p**3 - 3580484*g**2*p**3 + 2*g*p**3 wrt g?
-5460*g**2 - 36372*p**3
Find the third derivative of -9*o*q**4*x + 7*o*q**3 + 4*o*q*x - 2*o*q - 99*o*x - 15*o + 77*q**4 - 2*q**2 wrt q.
-216*o*q*x + 42*o + 1848*q
What is the first derivative of -145453*i**2 - i - 219650 wrt i?
-290906*i - 1
Differentiate 2*c*g**3*w**2 - 15444*c*g**3*w - 6*c*g**3 - 950*c wrt w.
4*c*g**3*w - 15444*c*g**3
Find the third derivative of 5*v**5 - 8884*v**4 + 301857*v**2.
300*v**2 - 213216*v
Differentiate 355*f*m*v**2 - 2*f*m*v + 2*f*m - f*v + 1414*m*v**2 - 5*m*v - 2*v**2 - 1 with respect to f.
355*m*v**2 - 2*m*v + 2*m - v
Differentiate 221*t**3*v**3 + 2091*t**3 - 180433*v**3 wrt t.
663*t**2*v**3 + 6273*t**2
Find the first derivative of -6*m**2*y**4 - 1155*m**2*y**2 - 630*m**2 + 8*m + 6 wrt y.
-24*m**2*y**3 - 2310*m**2*y
What is the third derivative of 3222381*g**3 + 1470558*g**2 wrt g?
19334286
What is the third derivative of 1006*d**5 - 6*d**4 + d**2 + 27*d - 115?
60360*d**2 - 144*d
What is the third derivative of -119437*u**3 - 4894*u**2 - 2*u wrt u?
-716622
What is the second derivative of 8*i*n**2 - 14764*i*n - 3*i - 37595*n**3 - 4*n wrt n?
16*i - 225570*n
What is the third derivative of -839*c**2*n**2*z - 2*c**2*n*z**2 + 2*c**2*n - 1758*c**2*z**3 + 2*c**2*z + 230*c*n**2*z**3 wrt z?
-10548*c**2 + 1380*c*n**2
What is the second derivative of 846*j**2*n**4 + 353*j**2*n**3 - 8*j**2*n + 6*n - 757 wrt n?
10152*j**2*n**2 + 2118*j**2*n
Find the third derivative of -40057*m**6 - 270256*m**2 - m.
-4806840*m**3
What is the derivative of 19355*x + 14460 wrt x?
19355
Find the third derivative of -132*d**3*r**4 + d**3*r**2*t - 25*d**3*t - 7*d*r**2*t + 2*d*r*t - 186*r**4*t + 17*t wrt r.
-3168*d**3*r - 4464*r*t
What is the second derivative of -r**4 - 141*r**3*z - r**3 - 2*r**2*z + 11184*r + z + 2 wrt r?
-12*r**2 - 846*r*z - 6*r - 4*z
What is the derivative of -g**2*r**2*x + 2*g**2 + 160564*g*r**2*x + 53490*g*r**2 wrt x?
-g**2*r**2 + 160564*g*r**2
What is the first derivative of -32780*c*j**2 - 15*c*j - 37*j**2 + 6295 wrt c?
-32780*j**2 - 15*j
What is the first derivative of -528815*t**2 + 224142?
-1057630*t
What is the third derivative of g**4 - 25723*g**3 + 5*g**2 + 8070?
24*g - 154338
What is the derivative of -16*o**3*t*x + 17*o**3*x - 162*o**3 - 93138*o*t**2*x - 33*o*x wrt t?
-16*o**3*x - 186276*o*t*x
Find the second derivative of -2*j**3*o + 5*j**2*o**2 - j**2*o + 5*j**2 - 24*j*o**2 + 678*o**2 wrt j.
-12*j*o + 10*o**2 - 2*o + 10
Find the second derivative of -262*r**3 + 74*r**2 + 57718*r wrt r.
-1572*r + 148
What is the third derivative of 260066*t**4 + 187*t**2 + 6030?
6241584*t
What is the second derivative of 5*f**3*t**2 + f**3*t*u**3 - 181*f**3*t*u + 3*f**2*t**2 - f*t**2 + 6*t**2*u**3 + 4*t*u - 24*u**3 wrt u?
6*f**3*t*u + 36*t**2*u - 144*u
Find the third derivative of 7*s**5 - s**4 + 779*s**3 - 49938*s**2 wrt s.
420*s**2 - 24*s + 4674
Find the third derivative of -2464927*y**4 + 20128*y**2 + 3*y - 2.
-59158248*y
Find the second derivative of 227296*h**2 - h + 11386.
454592
Find the first derivative of 471159*q**2 - 846790.
942318*q
Differentiate -i**3 + 121*i**2 - 481*i + 349024 wrt i.
-3*i**2 + 242*i - 481
Differentiate -9*a**4 + 57*a**2 + 10*a - 70915 with respect to a.
-36*a**3 + 114*a + 10
Find the third derivative of 14266*i**2*y**3 - 2535*i**2*y + y**3 + 5*y**2 wrt y.
85596*i**2 + 6
What is the third derivative of 66665*d*y**4 + 34*d*y - 62*d + 2*y**2 wrt y?
1599960*d*y
Find the third derivative of 10433*p**4 - p**3 - 9*p**2 + 4989*p wrt p.
250392*p - 6
What is the second derivative of -1087552*s**3 + 474957*s?
-6525312*s
What is the third derivative of 2000*d**3*j*w**3 - 44*d**3*j*w - d**2*j*w**3 - 2*d**2*j + 2099*d*j*w**2 - 2*d*j*w + 4*w wrt d?
12000*j*w**3 - 264*j*w
What is the third derivative of 186*i**4*t**3 + 3577*i**4 - 2*i**2*t**3 - 2*i**2*t**2 - 771314*i*t**3 - i*t wrt i?
4464*i*t**3 + 85848*i
Find the third derivative of -57*x**5 - 75*x**4 - 5202*x**2 - 3*x - 2 wrt x.
-3420*x**2 - 1800*x
Find the second derivative of 520572*u**2 - 6*u - 41106 wrt u.
1041144
What is the second derivative of -197177*f**2 + 8*f - 728 wrt f?
-394354
What is the third derivative of 129600*j**3 - j**2 - 24838*j?
777600
Find the second derivative of 20*u**4 - 50946*u**3 + 2677385*u wrt u.
240*u**2 - 305676*u
Find the second derivative of -12*c*d**2 + 3*c*d*h + 6*c*h - 460*d**2*h + 935*d*h - h - 1 wrt d.
-24*c - 920*h
Find the first derivative of -j**2*v + 3913733*j**2 - 257*j*v + 1247*v wrt v.
-j**2 - 257*j + 1247
Find the first derivative of -698058*x**4 + 232664.
-2792232*x**3
Differentiate -14*m**4 + 27*m**3 + 36*m + 226100 with respect to m.
-56*m**3 + 81*m**2 + 36
What is the derivative of -2*h**2*k**2 - 1604*h**2 - k**2*z + 263774*k**2 - 320*z wrt k?
-4*h**2*k - 2*k*z + 527548*k
Find the third derivative of -822*b**3*p**3*s**2 - b**3*p**2*s + 2*b**3*p*s**2 + 4*b**2*p**3*s**3 + 52*b**2*p*s**3 - 6*s**3 wrt p.
-4932*b**3*s**2 + 24*b**2*s**3
What is the derivative of -99240*r**2 - 28864?
-198480*r
Find the first derivative of 6*h**3 + 71*h**2 + 3*h*s - s - 6547 wrt h.
18*h**2 + 142*h + 3*s
Find the third derivative of -2*o*s**4 - o*s**3 + 9*o*s**2 + 2*o*s - 7*o - 70*s**4 + 945*s**3 - 2*s - 59 wrt s.
-48*o*s - 6*o - 1680*s + 5670
Differentiate 67*m*w + 30072*m - 557*w with respect to w.
67*m - 557
Find the first derivative of 8924*v**2 + 7*v + 245030.
17848*v + 7
Find the first derivative of -408343*w + 114916 wrt w.
-408343
Find the first derivative of -226793*f**3 - 385118 wrt f.
-680379*f**2
Find the first derivative of -15347*p**4 + 57207 wrt p.
-61388*p**3
Find the second derivative of -345605*i**2 + 53*i + 9473.
-691210
What is the third derivative of -13052*u**6 - 2*u**4 + 217145*u**2 wrt u?
-1566240*u**3 - 48*u
Find the second derivative of -2*i**3*r**2 + i**3 - 69*i**2*r - 39*i**2 + 2080*i*r**2 - 2*r**2 wrt i.
-12*i*r**2 + 6*i - 138*r - 78
What is the second derivative of 41468*l**3 - 27318*l wrt l?
248808*l
Find the second derivative of -14*s**4 + 209*s**3 + 4*s**2 - 12*s - 39.
-168*s**2 + 1254*s + 8
What is the second derivative of 24324*f*n**2 - f*n - 660*f + 2*n wrt n?
48648*f
Find the third derivative of -4652*i**5 + 2*i**4 + 2*i**3 - 3*i**2 + 764*i + 19 wrt i.
-279120*i**2 + 48*i + 12
Differentiate -776609*l**2 + 289001.
-1553218*l
Find the third derivative of 659582*j**4 + 30*j**2 - 11588*j.
15829968*j
Differentiate 557799*i**2 + 4645 with respect to i.
1115598*i
What is the second derivative of 118*l**3*m**3 + 3*l**2*q**2 - 6*l**2*q - 3*l*m**3 - 2*l*q + l + 2*m**2*q**2 - 2 wrt l?
708*l*m**3 + 6*q**2 - 12*q
What is the first derivative of -201892*l - 13706?
-201892
What is the first derivative of g**3*l**2 + 89865*g**3 + 7*g*l**2 + 237*l**3 wrt l?
2*g**3*l + 14*g*l + 711*l**2
Find the second derivative of 12634*k**3 + 24788*k wrt k.
75804*k
What is the third derivative of -4529*t**4 - 2*t**2 + 12684*t?
-108696*t
Find the third derivative of 1871*x**5 - x**3 - 152352*x**2.
112260*x**2 - 6
Find the first derivative of -1988*k*u - 4519*k - 9*u wrt u.
-1988*k - 9
Find the first derivative of -2008029*g**2 + 1113029 wrt g.
-4016058*g
|
{
"pile_set_name": "DM Mathematics"
}
|
a). Let z = 4 + 1. What is n(z)?
-5
Let w be (-6)/(-6 - (-5 - 3))*32/(-12). Let x(o) be the second derivative of o**3/6 - 6*o**2 + o. Give x(w).
-4
Let m(g) = -416 - 4*g + 5*g + 143 + 136 + 135. Let c be (-6)/(-15) - 16/(-10). Suppose 2*w - c*t - t - 2 = 0, -5*t = -4*w + 6. What is m(w)?
2
Let k(n) = n**3 - 26*n**2 - 29*n + 57. Suppose -1239*s - 1431 = -1292*s. What is k(s)?
3
Let c(p) = 21*p - 4. Let i(q) = -406*q - 6089. Let w be i(-15). Give c(w).
17
Let c(f) = 3*f + 6. Let l be 21 + -3 + (-30)/(-5). Suppose 0*p + j = 3*p + 19, l = -4*p + j. What is c(p)?
-9
Let k(j) be the first derivative of -j**4/4 + 4*j**3 + 7*j**2/2 + 17*j + 1233. Determine k(12).
101
Let m(r) = -r + 3. Let p = -532 + 527. Let f(v) = -2*v**2 - 11*v - 2. Let u be f(p). Calculate m(u).
0
Suppose 34*h + 47*h = -22*h. Let s(u) = -u**3 - u + 25. Determine s(h).
25
Let h(m) = m + 7. Let v be h(-12). Let l(y) = 59*y - 110*y + 47*y - 13. Determine l(v).
7
Let r(z) be the first derivative of -90 + 4*z - 1/3*z**3 + z**2. Suppose -15 = -2*i - 3*i. What is r(i)?
1
Let g(l) = l**2 - 93*l + 667. Let q be g(8). Let z(o) be the second derivative of o**3/6 + 7*o**2/2 + 41*o. What is z(q)?
-6
Let c(n) = 70*n + 17. Let q(t) = 35*t + 8. Let l(o) = -4*c(o) + 7*q(o). Let r(f) = 12*f + 4. Let y(u) = 3*l(u) + 8*r(u). Give y(-4).
32
Let s(c) = -140*c**2 + 31*c - 55. Let r(w) = -97*w**2 + 21*w - 37. Let k(l) = -13*r(l) + 9*s(l). Give k(6).
58
Let g(a) = a**3 - 6*a**2 - 15*a + 63. Let t be g(7). Let i(p) = 16*p**2 - 2*p**2 - 3*p**2 - 3*p**2 - 9*p - 6*p**2 + t. Determine i(3).
-2
Suppose -9 = 8*c - 33. Let p = -66 - -93. Suppose -c*r + 27 = -3*f + r, -3*f + r - p = 0. Let q(u) = u**3 + 8*u**2 - 10*u - 8. Give q(f).
1
Let n = -1309 + 1310. Suppose -12*i - 6 = -15*i. Let v(p) = 0 - 13*p**2 + i + 0 - 1. Calculate v(n).
-12
Let h(k) be the third derivative of -k**7/2520 + k**6/144 - k**5/20 - 115*k**4/24 + 90*k**2. Let l(b) be the second derivative of h(b). Give l(5).
-6
Let f(h) be the third derivative of h**6/40 - h**5/10 + h**4/24 - h**3/3 + 40*h**2 - 2. Let r(q) = q**3 - 2. Let i(x) = f(x) - 2*r(x). Calculate i(6).
8
Let o(x) = 2*x**2 - 5*x - 3. Let p be o(3). Suppose -14*w + 6*w - 64 = p. Let i(c) = -c**2 - 6*c - 4. Calculate i(w).
-20
Let o be 1 + (4 - 8/4). Let a(k) be the first derivative of -327*k + 12 + 327*k - k**o. Determine a(1).
-3
Let r be (-8 - 25)/((-6)/16). Let u(x) = r*x + 16*x**2 - 14*x**2 - 81*x. Determine u(-5).
15
Let h = 4628 + -4625. Let l(i) be the second derivative of 0 + 1/2*i**2 - h*i - 5/6*i**3. Calculate l(-1).
6
Suppose -24*i + 50 = -20*i - 2*c, 5*i = 2*c + 60. Let d(s) = s**2 - 21*s - 4. What is d(i)?
-114
Let w(q) = -14 - 6*q**2 - 3*q**2 + q**3 + 9516011*q - 9516020*q. Let g(s) = -10*s**3 - s - 1. Let r be g(-1). Calculate w(r).
-4
Suppose 5*z + 4*v + 17 = 0, 6*v - 22 = z - 5. Let q = -15 - z. Let i(p) = -p**3 - 9*p**2 + 11*p - 2. What is i(q)?
-12
Let s be 1/(-6*5/(-60)). Suppose 3*k - 5*h = 44, -3*h - 12 = -k - s*h. Let u(a) = a - 16. Determine u(k).
-8
Let p(y) be the second derivative of -y**3/6 + 21*y**2/2 - 1335*y. Calculate p(16).
5
Let l(c) = -2*c**3 - 13*c**2 + 8*c + 1. Let p be l(-7). Let w be (1 - 9)*(7 + p). Let v(s) = s - 4. Determine v(w).
-12
Let u(t) be the third derivative of t**5/60 + t**4/4 - t**3/3 + 3*t**2. Let b = 262 - 269. Let q(h) = h**3 + 9*h**2 + 25*h + 70. Let n be q(b). Calculate u(n).
5
Let k(z) = -16*z - 3. Let g(t) = 3*t**2 + 5*t - 4. Let j be g(-2). Give k(j).
29
Let x(o) = -o**3 + 6*o**2 - 5*o. Let h(g) = -82 + 3 - 23*g + 2 - 18*g. Let q be h(-2). What is x(q)?
0
Let u(c) = -3*c + 38. Let f(z) = 2*z - 33. Suppose 13*j + 0*j - 78 = 0. Let r(g) = j*f(g) + 5*u(g). Determine r(-5).
7
Let v(p) = -p - 4. Let k = 79 - 78. Suppose 3*o + 5*r = 21, 0 = -o + 3*o - r - k. Suppose -o*i + 0*i - 40 = 5*d, -3*i = 2*d + 27. Determine v(d).
2
Suppose 5*f - 4*t - 359 = -49, -3*f + t + 186 = 0. Suppose -2*u + f - 48 = 0. Suppose 3*a - u*a + 16 = 0. Let m(v) = -3*v**2 + 5*v + 4. What is m(a)?
-24
Suppose 0 = 12*z - 21 - 15. Suppose -z*t = -5*i - 0*i + 4, 5*i = t + 8. Suppose 0 = -t*u - 3 - 11. Let k(p) = -4*p - 6. Calculate k(u).
22
Let p = -6901 + 6908. Let k(z) = z**3 - 7*z**2 - 3*z + 28. Determine k(p).
7
Let q = -1702 - -1698. Let u(k) = -k**3 - 3*k**2 - 5*k - 28. Determine u(q).
8
Let b(y) = 1405*y - 1401*y + 5 + 24 - 85 - 34. Determine b(27).
18
Let n = -7091 + 7080. Let k(u) = -u**2 + 3*u + 149. What is k(n)?
-5
Let b(p) = 2*p - 1. Let y(r) be the first derivative of r**4/4 - 4*r**3/3 + r**2 - 6*r + 3. Let o be y(4). Suppose 0 = -3*q - o*q - 20. Give b(q).
-9
Let b(a) = 58 + 52 - a + 53 - 165. Suppose 0 = -2*g - 0*v - 2*v + 4, -2 = -g + 4*v. Let p(y) = -2*y - 3. Let o(x) = g*p(x) - 3*b(x). What is o(-1)?
1
Let h(s) = -31*s**2 - 24*s - 305. Let b(v) = -88*v**2 - 73*v - 901. Let l(c) = 6*b(c) - 17*h(c). Determine l(-18).
-5
Let a(s) = -3*s + 8. Let j(g) = 3*g + 1. Let t(q) = -4*q + 33. Let z(p) = -3*j(p) + t(p). Let w(y) = 9*a(y) - 2*z(y). Determine w(5).
7
Let r(u) = -u**2 - 4*u + 2. Let a be 15/((-15)/(-2)) - (0 - 1). Suppose -a*b + 6 = -b. Suppose 0 = -4*f - 0*f + 3*n - 15, n = -b. Give r(f).
-10
Let c(h) = -7*h. Let n = 35 - 31. Suppose n*q + 8 = 8*q. Suppose q + 12 = 4*z - 2*o, 2*z + 3*o + 13 = 0. Give c(z).
-7
Let c(p) = 2*p**2 + 5*p + 2. Suppose 0 = 2*y - 2*t - 35 + 9, 0 = -4*y + t + 64. Suppose 3*z = -y + 5. Calculate c(z).
14
Let i(v) = -7*v + 16. Let o(l) = 9*l - 29. Let c(n) = 3*n - 10. Let r(u) = 8*c(u) - 3*o(u). Let w(m) = 2*i(m) - 5*r(m). Give w(-3).
-6
Let k(m) = m**3 - m**2 - m + 2. Let v be k(1). Let j(w) = -v + 7*w + 0 - 2*w. Let a be -2*(-1 - 0)/2. Give j(a).
4
Let b(r) = -r**2 + 48*r - 317. Let d(j) = -10*j - 170. Let u be d(-21). What is b(u)?
3
Let y(k) = 360*k + 361*k - 2*k**3 + 6*k**2 + 53 + 346*k - 1077*k + k**3. Give y(6).
-7
Let z(m) = 31*m - 581 + 611 - 9*m - 5*m**2 + 4*m**2. Calculate z(23).
7
Let a(m) = -11*m - 17. Let j be (-18)/4*28*25/3150. Calculate a(j).
-6
Let y(u) = u**2 - 6*u - 5. Let d = -1015 + 1013. What is y(d)?
11
Let q(s) be the third derivative of -s**6/120 - 2*s**5/5 + s**4/24 + 3*s**3 - 11*s**2 + 2*s. Calculate q(-24).
-6
Let r(d) = 6*d + 199. Let l be (4/(24/(-9)))/((-117)/(-884))*3. Determine r(l).
-5
Let k(n) = -125*n + 371. Let s be k(3). Let c(z) be the third derivative of -z**5/60 - 5*z**4/24 + 3*z**2. Give c(s).
4
Let l(q) be the second derivative of -99*q + 1/2*q**3 - 1/2*q**2 + 0. Determine l(10).
29
Let x(j) = j**2 - 4*j - 3. Let a = 75 + -33. Suppose -g = 5*g - a. Suppose -d = 2*m + 5, 0*d + d + g = -4*m. Calculate x(d).
18
Let u(y) = 7*y**2 + 5*y + 1. Let z(w) = w**2 + w + 1. Suppose -3*i = -4*c - 38, i + 4*i - 55 = 5*c. Let k(f) = i*z(f) - u(f). Give k(-4).
-15
Let i(k) = -k**2 + 8*k - 6. Suppose -2*u - 133 = -55. Let w = u + 45. Give i(w).
6
Let h(n) = -10*n**3 - n**2. Let p be h(2). Let d = p + 86. Let z be (2/(-4) + 1)*(d + 0). Let u(m) = -7*m**2 - m. Calculate u(z).
-8
Suppose 4*u - 15 = -2*k + 17, -4*k - 2*u + 34 = 0. Let n(l) be the second derivative of -l**5/20 + 2*l**4/3 - 4*l**3/3 - 6128*l. Calculate n(k).
24
Let f(u) = 3*u**2 + 3*u**3 - 2*u**3 + 0*u + u - 2. Let s(b) = -b**2 + 117*b + 1267. Let k be s(-10). Calculate f(k).
-5
Let b = -618 - -622. Let s(o) = 2*o**2 + 3*o + 8. Let a(k) = 2*k**2 + 2*k + 7. Let l(v) = b*s(v) - 5*a(v). Give l(2).
-7
Let n(k) = k**2 - 12*k + 11. Let q(h) = 2*h + 14. Let r be q(-7). Suppose r = 28*g - 72*g + 484. Determine n(g).
0
Let d(z) be the first derivative of -z**5/120 - 11*z**4/24 + 8*z**3/3 - 4*z**2 - 236. Let u(i) be the third derivative of d(i). Give u(-7).
-4
Let n = -264 + 268. Let l(y) = 2*y - n - y + 3 - 3*y. What is l(-3)?
5
Let a(f) = 3*f + 30. Let t be a(-7). Suppose 11*q = 2*q + t. Let i(l) = -2 - q + 1 - 2*l. Determine i(6).
-14
Let s(d) = 5*d**2 + 6*d - 8. Let k be ((0/10)/(-10) + -4)/2. Give s(k).
0
Let f(g) be the first derivative of g**4/4 + 2*g**3/3 - g**2 + 2*g - 2. Let y be 10 - (-2)/(8/(-12)). Suppose 0 = y*x + 19 + 2. What is f(x)?
-1
Suppose -q - 5*q = 24. Let z be (-46)/q + (-1)/(-2). Let g be ((-12)/z)/(-1 - 4/(-5)). Let o(k) = k**3 - 3*k**2 - 7*k. Give o(g).
15
Let k = -2 + 8. Let r be 0 + -2 + -2 + (4 - -2). Let s(p) = p**3 + 0*p**3 + 4*p**3 + 7*p**r - 5*p - 6*p**3 - 8. Calculate s(k).
-2
Let v(s) = -s**3 + 10*s**2
|
{
"pile_set_name": "DM Mathematics"
}
|
41*l - 150. Give i(-2).
-260
Let m(s) = 2*s**2 - 20927*s - 167565. What is m(-8)?
-21
Let w(v) = -17*v**2 + 201*v - 73. Calculate w(12).
-109
Let u(a) = 48956*a + 244782. Determine u(-5).
2
Let z(w) = 77229*w + 386151. Calculate z(-5).
6
Let w(k) = -825958*k - 3303829. Calculate w(-4).
3
Let w(s) = -163*s + 35084. What is w(204)?
1832
Let z(k) = -4*k**3 + 291*k**2 - 489*k - 574. Determine z(71).
-6
Let o(i) = 1383*i - 23507. What is o(17)?
4
Let v(p) = 3*p**3 + 4*p**2 + p + 165. Calculate v(-8).
-1123
Let r(x) = 60*x**2 + 23063*x + 9205. What is r(-384)?
373
Let x(w) = w**2 - 280*w + 6879. Give x(27).
48
Let u(r) = 236228*r - 708655. Calculate u(3).
29
Let r(s) = -2*s**2 - 8183*s - 420363. What is r(-52)?
-255
Let v(o) = 84*o**2 + 17804*o - 1493. Give v(-212).
-645
Let x(f) = -f**2 + 18760*f + 413201. Calculate x(-22).
-3
Let k(v) = -5*v**2 - 10*v - 86. Calculate k(-20).
-1886
Let s(p) = p**2 - 263*p - 4222. Determine s(-15).
-52
Let x(t) = -t**3 - 497*t**2 - 1973*t - 586. Determine x(-493).
-93
Let k(u) = -u**3 + 133*u**2 - 2546*u + 1804. Calculate k(110).
44
Let j(v) = 2*v**3 - 19*v**2 + 629*v - 7275. Determine j(11).
7
Let w(p) = -8*p**2 + 123*p - 486. Determine w(5).
-71
Let f(n) = 1025*n**2 + 13328*n + 45. Calculate f(-13).
6
Let y(j) = -1440*j + 171292. Give y(119).
-68
Let d(l) = l**3 + 24*l**2 - 1653*l - 10543. Determine d(-6).
23
Let d(x) = 11854*x - 165943. Give d(14).
13
Let j(q) = 3*q**3 + 223*q**2 + 4022*q - 243. Calculate j(-31).
5
Let y(b) = 2860*b + 591951. What is y(-207)?
-69
Let w(l) = 631*l - 9037. What is w(13)?
-834
Let z(n) = -4*n**3 - 396*n**2 + 5323*n + 65. Determine z(12).
5
Let q(l) = -575*l - 60819. Give q(-106).
131
Let u(g) = 2700*g - 766849. What is u(284)?
-49
Let u(m) = -2*m**3 + 4362*m**2 + 8941*m - 456240. Calculate u(2183).
7
Let j(x) = x**2 + 659*x + 11758. Determine j(-19).
-402
Let p(b) = 2*b**3 - 743*b**2 + 8346*b - 23762. What is p(360)?
-2
Let r(k) = -k**2 - 27316*k - 273073. Determine r(-10).
-13
Let b(l) = 4*l**3 - 1455*l**2 - 515*l + 54941. Calculate b(364).
-23
Let f(v) = 17*v**2 - 553*v - 737. Give f(38).
2797
Let w(r) = 2195*r - 241758. Calculate w(110).
-308
Let o(x) = -315*x**2 - 51*x - 101. Calculate o(-3).
-2783
Let m(u) = -58*u - 4538. Give m(-67).
-652
Let i(c) = c**2 + 5762*c + 245858. Determine i(-43).
-59
Let m(q) = 4*q**3 - 253*q**2 + 2563*q + 11257. Give m(49).
-13
Let i(j) = -1562*j - 319921. Give i(-205).
289
Let n(g) = 27*g**3 - 138*g**2 + 278*g - 1331. Calculate n(5).
-16
Let o(t) = -50*t - 3923. What is o(-80)?
77
Let v(k) = k**3 + 10*k**2 + 293*k + 4415. What is v(-13)?
99
Let w(s) = 13*s**3 + 1577*s**2 - 1616*s + 41. Give w(1).
15
Let p(b) = -b**3 + 35*b**2 - 327*b + 2510. Determine p(26).
92
Let c(p) = 11*p**2 - 111*p - 2230. Calculate c(-17).
2836
Let x(s) = 291*s - 1152. Determine x(4).
12
Let s(g) = -773*g + 54904. Calculate s(71).
21
Let i(n) = n**3 + 21*n - 5. What is i(0)?
-5
Let g(l) = -l**2 + 66*l + 23187. What is g(-123)?
-60
Let l(j) = -6318*j - 455157. Determine l(-72).
-261
Let y(x) = -6444*x + 1533664. Determine y(238).
-8
Let w(t) = -906*t - 215597. What is w(-238)?
31
Let c(h) = h**3 + 462*h**2 - 11164*h - 14. What is c(23)?
-221
Let x(p) = -2*p**2 - 6*p + 816. Determine x(18).
60
Let u(x) = 2*x**3 + 843*x**2 - 12642*x + 883. Calculate u(-436).
11
Let z(d) = 3*d**3 - 417*d**2 + 3878*d - 86. Determine z(10).
-6
Let k(n) = -161*n**2 + 80*n - 160. Give k(2).
-644
Let s(o) = o**3 + 43*o**2 + 145*o - 2854. Determine s(-37).
-5
Let k(h) = 31337*h + 564060. Calculate k(-18).
-6
Let y(q) = -q**2 + 90*q + 22816. What is y(203)?
-123
Let o(n) = 472*n**2 - 8946*n - 198. Determine o(19).
220
Let u(a) = 28*a**2 + 137*a + 53. Determine u(-8).
749
Let b(d) = -d**3 + 160*d**2 - 4372*d - 58. Give b(35).
47
Let q(y) = -7*y**2 - 14105*y - 4754654. What is q(-1587)?
-2
Let f(i) = -62396*i - 312029. What is f(-5)?
-49
Let l(t) = 7*t**3 + 1151*t**2 - 3516*t - 3. Calculate l(3).
-3
Let w(y) = 161*y**2 + 10345*y + 2633. What is w(-64)?
9
Let w(a) = 28810*a + 115256. Give w(-4).
16
Let w(l) = -l**2 - 165*l - 5136. What is w(-36)?
-492
Let o(h) = 16040*h - 753886. Give o(47).
-6
Let j(g) = -2878*g + 319383. Give j(111).
-75
Let o(h) = 2078*h + 122545. Determine o(-59).
-57
Let a(z) = 2*z**2 + 2076*z + 54617. Calculate a(-27).
23
Let j(y) = -y**3 - 86*y**2 + 2211*y - 1969. Give j(20).
-149
Let l(z) = -4*z**3 - 23*z**2 + 3988*z + 32042. What is l(-8)?
714
Let c(n) = -98*n**3 + 1070*n**2 + 89*n + 9. Give c(11).
20
Let o(p) = p**2 - 96*p + 1694. Give o(71).
-81
Let p(a) = 3972*a**2 - 83571*a + 3337. Calculate p(21).
-2
Let y(g) = g**3 - 76*g**2 + 35*g - 2629. What is y(76)?
31
Let o(x) = 40*x**2 - 1321*x + 2509. Give o(31).
-2
Let g(r) = -2*r**3 + 19*r**2 + 304*r - 2606. Calculate g(8).
18
Let k(r) = 1696*r - 33881. Calculate k(20).
39
Let u(g) = 92*g**2 + 3901*g - 253. Calculate u(-44).
6215
Let m(j) = -304*j**2 + 18*j - 86. Calculate m(3).
-2768
Let p(z) = 201*z**2 - 7*z + 311. Determine p(0).
311
Let r(z) = -2*z**3 + 76*z**2 + 2013*z - 45. Determine r(56).
-213
Let o(s) = -s**2 + 384*s - 27535. What is o(283)?
1048
Let i(p) = 5*p**2 - 859*p - 861. What is i(-1)?
3
Let s(t) = 5*t**3 - 1225*t**2 + 1222*t - 703. Determine s(244).
-215
Let r(u) = u**3 - 16*u**2 - 243*u + 3037. Give r(10).
7
Let l(f) = -f**3 + 24*f**2 + 394*f - 311. Calculate l(-12).
145
Let r(d) = -18*d**3 - 89*d**2 + 147*d + 707. Determine r(-5).
-3
Let p(c) = -4*c**3 - 133*c**2 - 42*c - 305. What is p(-33)?
-8
Let q(k) = 194*k + 2747. Give q(-20).
-1133
Let a(o) = 174*o**2 + 3475*o + 384. Calculate a(-20).
484
Let k(d) = -2*d**2 - 456*d + 112. Give k(0).
112
Let f(q) = -1311*q + 125863. Calculate f(96).
7
Let u(j) = 1808*j - 150062. Determine u(83).
2
Let f(o) = -65056*o - 845731. What is f(-13)?
-3
Let n(z) = -6*z**3 + 16*z**2 + 86*z - 255. What is n(3)?
-15
Let l(g) = -9953*g + 63948. Calculate l(7).
-5723
Let g(j) = 3744*j - 1617418. Give g(432).
-10
Let t(l) = 574*l + 171035. Calculate t(-298).
-17
Let v(m) = -m**3 - 84*m**2 + 268*m + 569. Give v(-87).
-40
Let a(m) = 40*m**2 - 855*m + 12. Calculate a(21).
-303
Let r(b) = 719*b - 5207. Give r(7).
-174
Let s(k) = -4*k**3 + 241*k**2 + 186*k - 183. Calculate s(61).
0
Let q(n) = -n**2 + 227*n - 3807. Determine q(17).
-237
Let n(b) = -b**3 - 34*b**2 + 6110*b + 8. Determine n(-97).
105
Let l(j) = j**3 - 111*j**2 - 696*j - 174. Give l(117).
528
Let w(r) = -295644*r - 295666. What is w(-1)?
-22
Let h(p) = 1244*p**2 + 598353*p - 5286. What is h(-481)?
5
Let b(a) = 15*a**2 + 889*a + 6932. Determine b(-49).
-614
Let h(x) = -10*x**2 - 612*x + 708. Determine h(-66).
-2460
Let h(b) = 1420*b + 9867. Determine h(-8).
-1493
Let f(s) = 2*s**3 + 33*s**2 + 60*s - 1. Give f(-17).
-1310
Let z(v) = v**3 + 614*v**2 - 48635*v + 7. Give z(71).
7
Let q(m) = 2*m**3 - 71*m**2 - 658*m + 1116. What is q(43)?
557
Let r(s) = 45*s**2 + 88*s - 140. Determine r(-3).
1
Let y(b) = 18*b**2 + 724*b + 5393. Give y(-10).
-47
Let c(j) = -1666*j - 12422. Calculate c(-7).
-760
Let w(z) = 7*z**3 - 827*z**2 + 134*z - 1748. What is w(118)?
140
Let d(u) = 25*u**3 - 7*u**2 - 245*u + 500. What is d(2)?
182
Let i(z) = -z**3 - 87*z**2 + 93*z - 15909. What is i(-90)?
21
Let d(l) = -1525*l + 4132. Calculate d(3).
-443
Let i(h) = -h**2 + 559*h - 10238. Give i(540).
22
Let z(d) = -16664*d + 83339. What is z(5)?
19
Let w(j) = -j**2 + 214*j - 8852. What is w(72)?
1372
Let s(z) = -z**3 - 37*z**2 + 210*z + 11866. Determine s(-32).
26
Let h(o) = -306*o + 2442. What is h(8)?
-6
Let p(q) = -15*q**2 + 252*q - 961. What is p(11)?
-4
Let g(b) = 13*b**2 - 303*b + 1100. What is g(16)?
-420
Let n(j) = 51*j**2 + 6*j - 39. Calculate n(2).
177
Let u(v) = -3*v**2 + 2055*v + 161043. What is u(-71)?
15
Let y(r) = 22582*r + 293570. Calculate y(-13).
4
Let j(h) = 323*h**2 - 8723*h - 7. Determine j(27).
-61
Let b(g) = -2*g**2 + 13652*g + 3920307. Calculate b(-276).
3
Let c(u) = -2*u**3 + 57*u**2 + 180*u + 548. What is c(31)?
1323
Let g(k) = -998275*k - 1996543. Calculate g(-2).
7
Let z(c) = -3*c**3 - 40*c**2 + 76*c + 1213. Calculate z(-13).
56
Let x(f) = f**3 + 200*f**2 + 1695*f - 94. Calculate x(-9).
122
Let n(j) = -1430*j + 1707. Determine n(2).
-1153
Let i(q) = -495*q**3 - 7*q**2 + 11*q + 55. Give i(-2).
3965
Let l(c) = -c**3 - 178*c**2 + 11
|
{
"pile_set_name": "DM Mathematics"
}
|
, -0.5 in ascending order.
-1, -0.5, 2/779
Put 205, -5, -2 in descending order.
205, -2, -5
Sort -4, 4, 25, 3 in increasing order.
-4, 3, 4, 25
Sort -0.4, -1.7, 4, -1/8 in descending order.
4, -1/8, -0.4, -1.7
Sort -5, -1, -137.
-137, -5, -1
Sort 0.5, 1, -164, 1/6, -3/8 in decreasing order.
1, 0.5, 1/6, -3/8, -164
Put 1, 0, 3, 6, 7 in decreasing order.
7, 6, 3, 1, 0
Sort -0.5, 0.1, -2/5, 28.
-0.5, -2/5, 0.1, 28
Sort -10, 0, 1, -2 in descending order.
1, 0, -2, -10
Put -4, -2, 0.801 in decreasing order.
0.801, -2, -4
Sort 36, 5, -10, -1 in decreasing order.
36, 5, -1, -10
Sort 5/6, -0.1, -1/11, 1/6, 10/37 in decreasing order.
5/6, 10/37, 1/6, -1/11, -0.1
Put -5, 64, 5, -2 in ascending order.
-5, -2, 5, 64
Put 4, -910, -3, -1/4 in increasing order.
-910, -3, -1/4, 4
Sort 1, 2, -10, -8 in increasing order.
-10, -8, 1, 2
Sort 0, 0.3, -9.
-9, 0, 0.3
Put -4, 2/9, -0.107, 2/5 in increasing order.
-4, -0.107, 2/9, 2/5
Put -8, -1, -31, -3 in decreasing order.
-1, -3, -8, -31
Put -0.05, 1/5, 35/2 in descending order.
35/2, 1/5, -0.05
Sort 144, 2, 5, 21.
2, 5, 21, 144
Put 1/9, -4/7, -5, -3 in descending order.
1/9, -4/7, -3, -5
Put -1/7, 0.04, 5, -5, 0.4 in descending order.
5, 0.4, 0.04, -1/7, -5
Sort 13, -2, 24 in descending order.
24, 13, -2
Sort -0.1, 0, -9.
-9, -0.1, 0
Sort -0.2, 0.1981, -1 in decreasing order.
0.1981, -0.2, -1
Sort 5, 8, -2, -3 in descending order.
8, 5, -2, -3
Put -24, -5, 17 in descending order.
17, -5, -24
Sort 5, 9, 4 in increasing order.
4, 5, 9
Put -10, -13, -9 in ascending order.
-13, -10, -9
Put -3, -199, 0 in ascending order.
-199, -3, 0
Sort 4, -0.095, 1.
-0.095, 1, 4
Sort 0.4, -3/26, 0.3, -12/7 in decreasing order.
0.4, 0.3, -3/26, -12/7
Sort -1/5, 0.57, -3, 0 in descending order.
0.57, 0, -1/5, -3
Sort -7, 6, -4 in decreasing order.
6, -4, -7
Sort 23, 4, -3, 1 in descending order.
23, 4, 1, -3
Sort -0.4, 2, -706 in descending order.
2, -0.4, -706
Put -0.3, -0.31, -5/6, 15, 1 in descending order.
15, 1, -0.3, -0.31, -5/6
Put -2, 0, -575 in descending order.
0, -2, -575
Put 0, -338, -7 in decreasing order.
0, -7, -338
Sort 113, -3, 1, 2.
-3, 1, 2, 113
Put 46, -155, 1 in ascending order.
-155, 1, 46
Sort -3.1, -4, 6/7, 1/5.
-4, -3.1, 1/5, 6/7
Sort -0.127, -2/7, -0.4 in descending order.
-0.127, -2/7, -0.4
Sort 3, 4, 254 in ascending order.
3, 4, 254
Put 10.3, 0, 16/7 in decreasing order.
10.3, 16/7, 0
Put 0.1, -4, -5, -2, 11 in decreasing order.
11, 0.1, -2, -4, -5
Put -10, -3, -1, 3, 21 in decreasing order.
21, 3, -1, -3, -10
Sort 11, -0.9, -2 in descending order.
11, -0.9, -2
Sort -4, -80, 24.
-80, -4, 24
Put -21, 0.15, 2/23, 2/9 in ascending order.
-21, 2/23, 0.15, 2/9
Sort 9, -4, -9, 4.
-9, -4, 4, 9
Sort -5, 4, 1, 615, 0 in descending order.
615, 4, 1, 0, -5
Sort 1, 167, -8 in decreasing order.
167, 1, -8
Sort -45, -0.2, -1/6, -0.3.
-45, -0.3, -0.2, -1/6
Put -1/2, -2/3, -5.3 in ascending order.
-5.3, -2/3, -1/2
Put -5, -18, 37, 3 in increasing order.
-18, -5, 3, 37
Sort 0, -2, 9, 8 in ascending order.
-2, 0, 8, 9
Sort 3, -87, 4 in decreasing order.
4, 3, -87
Sort -807, 4, -4 in ascending order.
-807, -4, 4
Put -5, -2, -67, -1 in ascending order.
-67, -5, -2, -1
Sort -4, 30, 4, 1 in descending order.
30, 4, 1, -4
Sort -12, 1, -14.
-14, -12, 1
Put 1, 4, 30, -4, -2 in descending order.
30, 4, 1, -2, -4
Put -3, 865, 0 in ascending order.
-3, 0, 865
Put 4, -2/15, 0.1, 12 in ascending order.
-2/15, 0.1, 4, 12
Sort 2720, -4, -2.
-4, -2, 2720
Sort -4, 1/3, -2/9, -8/5.
-4, -8/5, -2/9, 1/3
Put 0, -16, 2/23, -12 in descending order.
2/23, 0, -12, -16
Put -33, 16, -3, -4 in increasing order.
-33, -4, -3, 16
Put -166, -5, -1, 2, -0.08 in increasing order.
-166, -5, -1, -0.08, 2
Sort -4, 1, -24 in ascending order.
-24, -4, 1
Put -4, -30, -5 in ascending order.
-30, -5, -4
Sort -5, 178, -1 in decreasing order.
178, -1, -5
Sort 0, 5, -1/2, -3.
-3, -1/2, 0, 5
Sort -187, 2/7, -4 in decreasing order.
2/7, -4, -187
Sort 1, -4, 168 in descending order.
168, 1, -4
Put -1/17, -2/11, -0.1 in descending order.
-1/17, -0.1, -2/11
Put 21, -0.4, 1/5 in descending order.
21, 1/5, -0.4
Put 0, -5, 16 in increasing order.
-5, 0, 16
Sort -1/12, 65, 5, 1/4 in descending order.
65, 5, 1/4, -1/12
Sort 48, -2/5, 4 in ascending order.
-2/5, 4, 48
Put -20, -3, -30 in decreasing order.
-3, -20, -30
Sort -1, -4, 25, 5.
-4, -1, 5, 25
Put -25, -1, 2, 78 in decreasing order.
78, 2, -1, -25
Sort 5/2, -3/26, -1/6, -1/8.
-1/6, -1/8, -3/26, 5/2
Put 3/2, -1/21, -1/3, 1, 2/3 in ascending order.
-1/3, -1/21, 2/3, 1, 3/2
Sort -1/4, -178, 0 in ascending order.
-178, -1/4, 0
Sort 184, -6, 1 in descending order.
184, 1, -6
Put -3/28, 0, 2, -3 in decreasing order.
2, 0, -3/28, -3
Put 3, -3, -5, 73 in descending order.
73, 3, -3, -5
Put -1, -67, 2/33 in ascending order.
-67, -1, 2/33
Put 3/301, 0.5, -2/15, -1/2 in ascending order.
-1/2, -2/15, 3/301, 0.5
Sort 0.07, -8, 12 in ascending order.
-8, 0.07, 12
Put 8, 5, -0.06, 2/5, -10 in decreasing order.
8, 5, 2/5, -0.06, -10
Put 2, 3, 4, -1, -4 in increasing order.
-4, -1, 2, 3, 4
Sort -0.3, 1/6, 1.11, -3, 2 in descending order.
2, 1.11, 1/6, -0.3, -3
Sort 1/6, -5, 0.4, 2/41 in decreasing order.
0.4, 1/6, 2/41, -5
Put 3, -9, 185 in decreasing order.
185, 3, -9
Sort -8, 42, 3, 2.
-8, 2, 3, 42
Put -354, -3, -5, 0 in descending order.
0, -3, -5, -354
Sort 3, -200, 2 in ascending order.
-200, 2, 3
Sort 5, 3, 6 in decreasing order.
6, 5, 3
Put 3, 0, -5 in descending order.
3, 0, -5
Put -148, 0.5, 5, 0.09, 2/15 in decreasing order.
5, 0.5, 2/15, 0.09, -148
Sort 2, -205, 0.5 in increasing order.
-205, 0.5, 2
Sort -318, 1, 1.3 in decreasing order.
1.3, 1, -318
Sort 3, 4, 61.
3, 4, 61
Sort -4, -5, 0.4, -1/2 in decreasing order.
0.4, -1/2, -4, -5
Put -253, 1/3, -0.3 in descending order.
1/3, -0.3, -253
Put 1/4, -6, -10 in descending order.
1/4, -6, -10
Put -2, -8, 0, 4 in decreasing order.
4, 0, -2, -8
Put 0.13, -0.1, 4 in descending order.
4, 0.13, -0.1
Sort -2, 4, 6 in descending order.
6, 4, -2
Put 2, 3, -4 in descending order.
3, 2, -4
Put 6.6, 2/5, -0.02 in decreasing order.
6.6, 2/5, -0.02
Sort -3, 0, 1.
-3, 0, 1
Sort 40, 0, 14, 5, 2.
0, 2, 5, 14, 40
Sort 15, -5, -35, -4 in decreasing order.
15, -4, -5, -35
Sort -7, -1, -3 in increasing order.
-7, -3, -1
Put -54, -15, -1/2 in descending order.
-1/2, -15, -54
Sort 0, -170, -2.
-170, -2, 0
Put -0.1, 0, 14/59, -0.08 in descending order.
14/59, 0, -0.08, -0.1
Sort 4, -0.11, 9, 5, 6 in descending order.
9, 6, 5, 4, -0.11
Sort 5, 1, -3, 0.106, 3 in descending order.
5, 3, 1, 0.106, -3
Put -1, -5, 128, -3, -6 in descending order.
128, -1, -3, -5, -6
Sort 3, 4, -5, -32.
-32, -5, 3, 4
Sort 3, -551, 2 in decreasing order.
3, 2, -551
Sort 11, -13, 13 in increasing order.
-13, 11, 13
Put 0.1, 1, 4.9 in decreasing order.
4.9, 1, 0.1
Put -2, -20, -35 in ascending order.
-35, -20, -2
Put -5, 5, 38, -3 in increasing order.
-5, -3, 5, 38
Put -1, 2, 306 in descending order.
306, 2, -1
Put -0.03, 0.2, -3, -2 in decreasing order.
0.2, -0.03, -2, -3
Sort -41, 0, -2 in decreasing order.
0, -2, -41
Put 6, -2, 95 in increasing order.
-2, 6, 95
Sort 2, -1, 9/46 in ascending order.
-1, 9/46, 2
Sort 2/5, -7, -0.24.
-7, -0.24, 2/5
Put 107, -11, -2 in increasing order.
-11, -2, 107
Sort -2, 0.1, -2/117 in descending order.
0.1, -2/117, -2
Sort 1.6, -1/2, -1/998.
-1/2, -1/998, 1.6
Sort 40, 5, 0.
0, 5, 40
Sort -2, 4, -3, 683.
-3, -2, 4, 683
Sort -4, -6, 5, 0 in decreasing order.
5, 0, -4, -6
Sort -3, -10.56, 0.3 in increasing order.
-10.56, -3, 0.3
Sort -10, -2824, -2 in decreasing order.
-2, -10, -2824
Put -0.004, -0.2, 0.7, 2 in ascending order.
-0.2, -0.004, 0.7, 2
Put -5, 44, 4 in decreasing order.
44, 4, -5
Put -1, -5, 198, -3 in decreasing order.
198, -1, -3, -5
Sort -8, 2/5, -40 in descending order.
2/5, -8, -40
Put 7, 1, -21 in descending order.
7, 1, -21
Put -8, -2, 0, 22 in decreasing order.
22, 0, -2, -8
Put 0, -7, -2, 2 in descending order.
2, 0, -2, -7
Sort 4, -1, 1732, -2 in descending order.
1732, 4, -1, -2
Put 3, -5, 7, 2 in descending order.
7, 3, 2, -5
Sort 4, 26, 70.
4, 26, 70
Sort -2/7, -1, 18, -2/3 in descending order.
18, -2/7, -2/3, -1
Put -2, -1, -3, -31 in descending order.
-1, -2, -3, -31
Sort 5, 3757, -1 in decreasing order.
3757, 5, -1
Sort 0, 3, -236, 2 in ascending order.
-236,
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + d**2 + 3. Determine n(-2).
-25
Let f(u) = 452*u - 6332. Give f(14).
-4
Let s(w) = w**2 - 9*w + 60. Determine s(31).
742
Let d(c) = c**3 - 4*c**2 - 11*c + 3. Determine d(6).
9
Let h(j) = j**3 - 59*j**2 + 171*j - 170. Determine h(56).
-2
Let l(b) = -36*b**3 - 33*b**2 - 34*b - 26. Give l(-1).
11
Let v(b) = 5*b**2 - 101*b + 130. Calculate v(19).
16
Let t(y) = 28*y + 2300. Calculate t(-82).
4
Let k(r) = 27*r. Calculate k(5).
135
Let g(v) = -v**3 + 23*v**2 - 85*v - 88. Determine g(18).
2
Let x(z) = -z**2 + 9*z + 42. Calculate x(13).
-10
Let m(p) = -74*p + 424. What is m(6)?
-20
Let a(g) = -g**3 + 13*g**2 - g + 104. Give a(14).
-106
Let d(s) = -786*s - 1563. What is d(-2)?
9
Let u(k) = 3*k**2 + 122*k + 788. Calculate u(-8).
4
Let a(j) = 45*j - 3461. Give a(77).
4
Let m(j) = j**3 - 45*j**2 - 366*j + 97. Give m(52).
-7
Let c(g) = -g**3 + 9*g**2 + 90*g - 765. Give c(10).
35
Let p(v) = -v**2 - 14*v + 10. Determine p(-17).
-41
Let w(j) = j**3 + 25*j**2 + 122*j - 18. Give w(-7).
10
Let x(f) = 377*f + 1500. Calculate x(-4).
-8
Let m(j) = -13*j + 162. Determine m(25).
-163
Let t(c) = -c**3 + 9*c**2 + 17*c - 30. Give t(11).
-85
Let i(v) = 3*v**2 - 85*v + 162. Give i(27).
54
Let f(j) = 2452*j - 7369. Give f(3).
-13
Let v(r) = -r**3 + 13*r**2 - 32*r + 4. What is v(10)?
-16
Let p(f) = 49*f - 40. Calculate p(1).
9
Let s(p) = 2*p**2 + p - 30. What is s(4)?
6
Let k(c) = -272*c + 2031. Give k(6).
399
Let n(z) = 2*z**3 + 86*z**2 + 915*z + 65. Give n(-24).
-7
Let q(s) = -s**3 - 228*s**2 - 10693*s - 149. Calculate q(-162).
13
Let c(g) = -3347*g - 56902. What is c(-17)?
-3
Let s(k) = 2*k**2 + 1577*k + 19. What is s(0)?
19
Let z(l) = 252*l - 13105. Determine z(52).
-1
Let l(r) = -87*r**3 + 14*r**2 - 24*r + 3. Determine l(2).
-685
Let u(r) = 117*r - 1511. What is u(13)?
10
Let w(p) = -24*p + 244. What is w(-14)?
580
Let h(r) = 157*r - 3019. Give h(17).
-350
Let j(p) = -10*p**2 + 234*p - 610. Calculate j(3).
2
Let u(h) = -5*h**3 + 37*h**2 + 63*h + 36. Determine u(10).
-634
Let y(n) = 2*n**2 - 162*n - 1048. Determine y(-6).
-4
Let a(m) = 2*m**3 + 32*m**2 + m + 16. What is a(-16)?
0
Let p(d) = d**2 - 52*d + 172. Calculate p(3).
25
Let s(n) = n**3 + 18*n**2 - 24*n - 231. Calculate s(-18).
201
Let m(n) = -4605*n - 23034. What is m(-5)?
-9
Let j(d) = -2*d**3 - 134*d**2 + 1040*d + 312. Calculate j(-74).
16
Let s(j) = -j**2 - 19*j + 26. Calculate s(1).
6
Let r(i) = 28*i**2 + 4*i - 9. Determine r(3).
255
Let t(p) = -38*p + 337. Give t(9).
-5
Let n(g) = 5*g + 10. What is n(17)?
95
Let n(c) = c**3 + 16*c**2 + 13*c + 110. Give n(-16).
-98
Let z(r) = -92*r + 147. Give z(2).
-37
Let w(s) = 17*s**2 + 42*s - 12. Determine w(-2).
-28
Let i(x) = -x**2 + 381*x - 9571. Calculate i(27).
-13
Let z(h) = 74*h - 511. What is z(10)?
229
Let i(r) = 91*r**3 + r**2 + 1. What is i(1)?
93
Let t(j) = 36*j + 566. Determine t(-17).
-46
Let t(x) = 2*x**3 + 193*x**2 - 105*x - 19267. Determine t(-96).
29
Let t(x) = -387*x**2 - 2713*x - 22. Give t(-7).
6
Let y(x) = -x**3 - 12*x**2 - 5*x + 60. Calculate y(-11).
-6
Let l(n) = 20*n - 57. Calculate l(-6).
-177
Let d(p) = p**3 - 15*p**2 + 18*p - 234. Give d(15).
36
Let v(m) = -m**3 + 15*m**2 - 38*m + 33. What is v(11)?
99
Let m(t) = -12*t**3 - 296*t**2 + 414*t - 47. Determine m(-26).
5
Let k(i) = 14*i**2 + 456*i - 161. Calculate k(-33).
37
Let m(b) = -b**2 - 30*b - 130. Determine m(-31).
-161
Let d(p) = 6*p**3 - 1877*p**2 - 311*p - 625. Give d(313).
1
Let b(u) = -u**3 - 53*u**2 - 358*u + 92. Calculate b(-45).
2
Let r(q) = -q**3 - 383*q - 774. Calculate r(-2).
0
Let w(n) = -n**3 - 2*n**2 - 3*n - 10. What is w(-3)?
8
Let f(b) = -b**3 + 29*b**2 - 176*b - 27. Determine f(9).
9
Let z(x) = -2*x**3 + 4*x**2 + 16*x + 45. What is z(5)?
-25
Let b(a) = 2*a**2 - 28*a + 8. Determine b(5).
-82
Let p(i) = -363*i - 214. Give p(-1).
149
Let v(w) = -w**3 + 26*w**2 + 164*w - 278. What is v(31)?
1
Let n(m) = 2*m**2 - 28*m - 310. What is n(21)?
-16
Let z(f) = -2*f**2 - 68*f - 27. What is z(-34)?
-27
Let o(d) = 3*d**2 - 46*d + 10. Determine o(11).
-133
Let a(p) = 285*p - 27367. Determine a(96).
-7
Let h(s) = s**3 + 11*s**2 + 19*s + 14. What is h(-8)?
54
Let k(s) = -58*s**2 - 1732*s + 233. Give k(-30).
-7
Let u(x) = 9*x**2 - 10*x - 55. Give u(3).
-4
Let b(a) = -1424*a - 12878. What is b(-9)?
-62
Let j(v) = -29*v - 1650. Determine j(-57).
3
Let s(a) = -35*a - 142. Determine s(-6).
68
Let y(w) = 2*w**2 - 39*w - 49. Calculate y(19).
-68
Let y(x) = -14*x + 123. Calculate y(7).
25
Let g(q) = -q**3 - 75*q**2 - 804*q + 71. Give g(-62).
-53
Let q(j) = 46*j - 412. Determine q(9).
2
Let j(c) = 13*c - 44. Calculate j(6).
34
Let a(g) = -181*g + 2523. Give a(13).
170
Let a(f) = 66*f**2 + 64*f - 58. What is a(1)?
72
Let r(y) = y**3 - 20*y**2 + 67*y - 407. Determine r(18).
151
Let s(h) = 5*h - 10. Determine s(5).
15
Let y(r) = 3*r**2 + 74*r + 357. Determine y(-18).
-3
Let c(o) = o**2 + 74*o + 706. Determine c(-11).
13
Let c(k) = 17092*k + 17070. Determine c(-1).
-22
Let w(a) = -a**2 - 33*a - 502. Determine w(-40).
-782
Let n(k) = k**3 - 19*k**2 + 39*k - 114. Give n(17).
-29
Let x(p) = -p**3 + 10*p**2 - 21*p - 23. Calculate x(11).
-375
Let o(l) = 22*l - 52. Calculate o(3).
14
Let h(x) = -3*x**2 + 92*x + 465. What is h(-5)?
-70
Let p(s) = s**3 - 6*s**2 - 26*s + 172. Give p(8).
92
Let t(u) = -2*u**3 + 4*u**2 - 9*u + 13. Calculate t(2).
-5
Let b(t) = -t**3 - 18*t**2 + 371*t + 5894. Calculate b(-23).
6
Let c(j) = -2*j**2 + 48*j + 361. Calculate c(29).
71
Let x(n) = -8*n**2 + 532*n + 280. Give x(67).
12
Let j(x) = 196*x - 1159. What is j(6)?
17
Let d(n) = 3*n**2 + 39*n - 317. What is d(6)?
25
Let o(z) = z**3 + 6*z**2 - 11*z - 68. What is o(-4)?
8
Let o(n) = 2*n**3 - 250*n**2 - 251*n - 153. What is o(126)?
-27
Let h(v) = -117*v + 180. Give h(0).
180
Let l(k) = k**2 - 673*k + 32308. Calculate l(52).
16
Let f(i) = i**3 - 4*i**2 + 25*i + 1. Determine f(5).
151
Let g(k) = -5*k**3 + k**2 - 3*k + 5. Give g(2).
-37
Let d(t) = -5*t**2 - 282*t + 3164. What is d(-66)?
-4
Let j(r) = 38*r - 559. Calculate j(15).
11
Let o(u) = -2*u**3 + 3*u**2 - 9*u + 9. Calculate o(1).
1
Let r(j) = 61*j**3 + j**2 - 5*j - 6. Determine r(-1).
-61
Let n(c) = -3*c**2 + 17*c + 273. Give n(-7).
7
Let t(d) = 11*d + 167. Determine t(-14).
13
Let k(z) = -2*z**2 - 84*z - 497. Give k(-34).
47
Let w(y) = -112*y + 2010. What is w(18)?
-6
Let g(y) = 18*y - 890. What is g(55)?
100
Let r(k) = -k**3 - 119*k**2 - 352*k - 469. What is r(-116)?
-5
Let q(w) = -6*w**2 - 135*w - 350. Determine q(-3).
1
Let w(l) = -19*l**2 - 57*l + 3. Give w(-7).
-529
Let a(w) = 45*w**2 + 346*w - 87. Calculate a(-8).
25
Let u(c) = c**3 - 13*c**2 - 25*c + 452. Determine u(12).
8
Let y(z) = 10*z**2 - 5*z + 4. What is y(2)?
34
Let m(h) = -h**2 - 45*h - 201. Give m(-40).
-1
Let i(u) = -1081*u**2 + 45401*u + 48. Give i(42).
6
Let q(t) = 101*t + 2115. What is q(-21)?
-6
Let n(j) = -3*j + 111. What is n(-10)?
141
Let u(o) = -20*o - 79. Determine u(8).
-239
Let t(y) = -4*y**2 - 137*y. Give t(-34).
34
Let m(s) = -7*s - 58. Calculate m(8).
-114
Let o(t) = 887*t + 2670. Calculate o(-3).
9
Let n(y) = y**3 - 10*y**2 - 65*y + 121. Determine n(14).
-5
Let t(r) = -r**3 - 11*r**2 - 4*r - 4. Determine t(-9).
-130
Let l(s) = s**2 - 106*s - 319. Calculate l(109).
8
Let k(x) = x**2 + 212*x + 1425. Determine k(-7).
-10
Let z(v) = -3*v**3 - 1237*v**2 - 406*v + 2477. Calculate z(-412).
5
Let v(z) = -60*z - 3727. Determine v(-62).
-7
Let x(k) = 5*k**2 + 87*k - 3920. Determine x(-38).
-6
Let l(h) = 262*h - 5035. Give l(19).
-57
Let q(v) = -13*v**2 + 279*v - 120. Determine q(21).
6
Let r(c) = -8*c + 33. Calculate r(6).
-15
Let r(x) = 3*x**2 + 263*x - 73. Determine r(-88).
15
Let p(j) = 2*j**2 + 117*j + 742. What is p(-51)?
-23
Let y(v) = -105*v - 1267. Give y(-12).
-7
Let z(r) = 4*r - 3. Determine z(-21).
-87
Let a(u) = u**3 - 20*u**2 + 52*u - 623. Calculate a(19).
4
Let l(o) = -4*o**3 + 54*o**2 + 83*o + 71. What is l(15)?
-34
Let k(z) = 2*z**3 - 3*z**2 + 92*z - 6. What is k(0)?
-6
Let i(x) = -x**3 - 43*x**2 + 39*x + 4956. What is i(-41)?
-5
Let t(j) = -2*j**2 + 5839. Determine t(-54).
7
Let z(n) = -3*n**3 - 24*n**2 + 31*n + 20. Calculate z(-9).
-16
Let w(h) = -h**3 - 36*h**2 - 190*h - 374. Calculate w(-30).
-74
Let l(v) = 2*v**2 - 16*v - 422. Give l(-11).
-4
Let b(m) = -309*m + 14471. Calcula
|
{
"pile_set_name": "DM Mathematics"
}
|
Is 26009 composite?
True
Is 24907 a prime number?
True
Is 6911 composite?
False
Is 31669 a prime number?
False
Is 87337 a prime number?
True
Is 27831 a composite number?
True
Is 148514 composite?
True
Is 3481 composite?
True
Is 20018 a composite number?
True
Is 1841 composite?
True
Is 345503 prime?
False
Is 34313 a composite number?
False
Is 61599 composite?
True
Is 1754 a composite number?
True
Is 8663 prime?
True
Is 638767 prime?
True
Is 2179 composite?
False
Is 6295 prime?
False
Is 110521 a prime number?
False
Is 143 a prime number?
False
Is 128813 a composite number?
False
Is 1783 a composite number?
False
Is 223631 a prime number?
False
Is 30427 composite?
False
Is 4045 a composite number?
True
Is 469835 composite?
True
Is 17899 prime?
False
Is 164117 a prime number?
True
Is 60841 a composite number?
True
Is 29009 a prime number?
True
Is 3046 a composite number?
True
Is 334023 prime?
False
Is 95543 a composite number?
True
Is 2720713 a composite number?
False
Is 58013 prime?
True
Is 1213 prime?
True
Is 65339 a prime number?
False
Is 390527 a prime number?
True
Is 1103051 a prime number?
False
Is 4049 composite?
False
Is 2167 composite?
True
Is 21847 prime?
False
Is 38299 a composite number?
False
Is 98677 a composite number?
True
Is 53987 prime?
True
Is 1115 a composite number?
True
Is 91909 prime?
True
Is 192719 composite?
True
Is 2027 composite?
False
Is 253531 prime?
True
Is 48947 a composite number?
False
Is 982687 composite?
False
Is 19069 a composite number?
False
Is 1618171 a prime number?
False
Is 30863 a prime number?
False
Is 31127 prime?
False
Is 307243 composite?
False
Is 927893 prime?
False
Is 32831 a composite number?
False
Is 23006 prime?
False
Is 109121 a prime number?
True
Is 82003 prime?
True
Is 1541 a composite number?
True
Is 407567 a prime number?
True
Is 74339 prime?
False
Is 38543 a prime number?
True
Is 38593 composite?
False
Is 346169 a prime number?
True
Is 12811 a composite number?
True
Is 62669 prime?
False
Is 381607 a composite number?
False
Is 1497379 a prime number?
False
Is 41671 prime?
False
Is 145429 a composite number?
True
Is 48883 a composite number?
False
Is 89111 a composite number?
True
Is 1967 a prime number?
False
Is 13327 prime?
True
Is 812449 a composite number?
True
Is 6677 prime?
False
Is 8147 composite?
False
Is 235649 composite?
True
Is 233749 prime?
False
Is 2310067 a composite number?
False
Is 475771 composite?
True
Is 2799071 prime?
False
Is 64951 a prime number?
True
Is 1701767 prime?
True
Is 16901 a prime number?
True
Is 101081 a composite number?
False
Is 5039 prime?
True
Is 1801 a composite number?
False
Is 2617379 prime?
True
Is 48647 a prime number?
True
Is 116329 a composite number?
False
Is 181997 composite?
False
Is 596317 a prime number?
True
Is 16253 a prime number?
True
Is 307963 a composite number?
True
Is 15161 composite?
False
Is 31013 prime?
True
Is 706547 a prime number?
True
Is 216557 a composite number?
True
Is 4603 prime?
True
Is 29527 a composite number?
False
Is 279781 a composite number?
True
Is 2293 composite?
False
Is 6253891 prime?
False
Is 18833 prime?
False
Is 5557 prime?
True
Is 57997 composite?
True
Is 5581 composite?
False
Is 10183 composite?
True
Is 204583 a composite number?
False
Is 4321 prime?
False
Is 819563 composite?
False
Is 419 composite?
False
Is 146359 a prime number?
True
Is 68559 a composite number?
True
Is 355379 a prime number?
True
Is 259918 a composite number?
True
Is 190607 prime?
True
Is 72669 composite?
True
Is 25287 prime?
False
Is 5317 a composite number?
True
Is 54523 composite?
True
Is 1090501 a composite number?
True
Is 34123 a composite number?
False
Is 6208295 prime?
False
Is 17341 a composite number?
False
Is 522701 composite?
True
Is 13835 a prime number?
False
Is 14999 a composite number?
True
Is 84299 a composite number?
False
Is 238529 a composite number?
False
Is 1251157 prime?
True
Is 7507 composite?
False
Is 53467 prime?
False
Is 8807 composite?
False
Is 90547 composite?
False
Is 51361 a composite number?
False
Is 22307 a composite number?
False
Is 692641 a prime number?
True
Is 1993939 prime?
False
Is 324293 a prime number?
True
Is 14699 a composite number?
False
Is 468383 composite?
True
Is 155577 a composite number?
True
Is 350347 a composite number?
False
Is 49103 composite?
False
Is 2395 composite?
True
Is 139489 a composite number?
True
Is 20123 composite?
False
Is 94803 prime?
False
Is 3160369 a prime number?
True
Is 7121 a composite number?
False
Is 1847 a composite number?
False
Is 14699 a prime number?
True
Is 102815 a prime number?
False
Is 137909 a composite number?
False
Is 1333331 prime?
True
Is 18169 prime?
True
Is 365159 prime?
True
Is 582299 composite?
False
Is 15017 prime?
True
Is 298271 composite?
True
Is 10079 a composite number?
False
Is 56273 a composite number?
True
Is 895081 a prime number?
False
Is 613 composite?
False
Is 36541 composite?
False
Is 47017 a prime number?
True
Is 2349419 a composite number?
False
Is 2590349 a prime number?
True
Is 6326 composite?
True
Is 3793 a composite number?
False
Is 2477 prime?
True
Is 171805 prime?
False
Is 99559 a composite number?
False
Is 638143 a prime number?
False
Is 865609 a composite number?
False
Is 314537 a prime number?
False
Is 42623 prime?
False
Is 272477 prime?
True
Is 67315 a composite number?
True
Is 63741 a prime number?
False
Is 345299 composite?
True
Is 623 composite?
True
Is 26083 a prime number?
True
Is 1065473 a composite number?
True
Is 5381 prime?
True
Is 1367819 a composite number?
False
Is 10315 a prime number?
False
Is 56629 composite?
False
Is 6863 a prime number?
True
Is 14738 composite?
True
Is 74317 composite?
False
Is 929 a composite number?
False
Is 5854 prime?
False
Is 175619 composite?
True
Is 18553 a prime number?
True
Is 19361 a prime number?
False
Is 7789 a composite number?
False
Is 39811 composite?
True
Is 198377 a prime number?
True
Is 71411 a composite number?
False
Is 5323 a prime number?
True
Is 65735 a composite number?
True
Is 1023461 prime?
True
Is 153298 a composite number?
True
Is 44779 a composite number?
True
Is 3904801 prime?
True
Is 3463 a composite number?
False
Is 125737 prime?
True
Is 348962 prime?
False
Is 5207 prime?
False
Is 264371 a composite number?
False
Is 5501 a prime number?
True
Is 21439 a composite number?
True
Is 2269934 a composite number?
True
Is 3749 a prime number?
False
Is 16838 a prime number?
False
Is 314729 a composite number?
True
Is 12499 prime?
False
Is 517 a prime number?
False
Is 124283 composite?
True
Is 256699 a prime number?
True
Is 47761 prime?
False
Is 4201 a prime number?
True
Is 64399 a prime number?
True
Is 291481 prime?
True
Is 93679 prime?
False
Is 419 composite?
False
Is 44071 a composite number?
False
Is 25771 a composite number?
False
Is 3643 prime?
True
Is 6103 composite?
True
Is 48731 composite?
False
Is 1399 a composite number?
False
Is 262261 prime?
True
Is 82799 a composite number?
False
Is 163771 a composite number?
False
Is 502601 composite?
True
Is 6761 prime?
True
Is 825787 a prime number?
False
Is 121115 composite?
True
Is 1679 composite?
True
Is 2972751 composite?
True
Is 1630441 composite?
False
Is 2709767 prime?
True
Is 1801 prime?
True
Is 8779 composite?
False
Is 9233 a composite number?
True
Is 13159 a prime number?
True
Is 16787 a prime number?
True
Is 11239 composite?
False
Is 8069 composite?
False
Is 56557 composite?
True
Is 56051 prime?
False
Is 405089 a composite number?
False
Is 1709 composite?
False
Is 1210123 composite?
False
Is 35591 a composite number?
False
Is 261341 composite?
True
Is 33391 composite?
False
Is 28091 a prime number?
False
Is 8209 a composite number?
False
Is 9523 prime?
False
Is 2039 a prime number?
True
Is 55507 prime?
False
Is 22381 a prime number?
True
Is 96377 prime?
True
Is 22229 composite?
False
Is 3407 a prime number?
True
Is 48839 a prime number?
False
Is 16439 composite?
True
Is 23369 a composite number?
False
Is 14623 a composite number?
True
Is 82213 a prime number?
False
Is 887 a composite number?
False
Is 627043 composite?
True
Is 21977 a composite number?
False
Is 1335221 composite?
True
Is 21799 prime?
True
Is 62897 a prime number?
True
Is 763 a prime number?
False
Is 956119 prime?
True
Is 512009 composite?
F
|
{
"pile_set_name": "DM Mathematics"
}
|
*u(o). Determine r(z(h)).
-4*h
Let s(v) = 2*v. Let h(m) be the first derivative of -m**2/2 - 4. Determine s(h(d)).
-2*d
Let c(u) = 27*u**2. Let g(t) = t**2. Calculate g(c(y)).
729*y**4
Let r(y) = -y**2 - y. Let o(b) = 2*b**2 + b. Let a(z) = -2*o(z) - 2*r(z). Let s(u) = -7*u**2. What is a(s(l))?
-98*l**4
Let u be (-1)/(((-12)/(-15))/(-4)). Let k(n) = 0*n + 3*n - u*n. Let b(h) = -4*h + 4*h - 5*h**2. Give b(k(c)).
-20*c**2
Let j(g) be the first derivative of 0*g**2 + 0*g - 2/3*g**3 + 4. Let u(m) = -5*m**2. What is u(j(z))?
-20*z**4
Let s(i) be the second derivative of i**4/3 - 2*i. Let j(r) = 5*r**2 - 4*r**2 + 0*r**2 + r**2. Give j(s(p)).
32*p**4
Let f(u) = -2*u**2 + 3*u + 6. Let q(i) = -i**2 + i + 2. Let a(j) = -f(j) + 3*q(j). Let k(b) = -b. What is k(a(l))?
l**2
Let s(r) = 2*r. Let a(f) = -4098*f**2. Calculate a(s(z)).
-16392*z**2
Let j = -39 + 26. Let k(g) = 3*g. Let w(d) = -6*d. Let f(r) = j*k(r) - 6*w(r). Let t(l) = 2*l. What is f(t(a))?
-6*a
Let v(n) = -n. Let y(h) = -80*h**2. Calculate v(y(a)).
80*a**2
Let n(q) = -153*q + 14. Let v(c) = 3*c. Determine v(n(t)).
-459*t + 42
Let y(a) = 298*a. Let f(r) = 12*r. Give y(f(w)).
3576*w
Let v(p) = 48*p**2 - 21. Let q(w) = -12*w**2 + 5. Let s(x) = 21*q(x) + 5*v(x). Let o(a) = 2*a. Determine s(o(i)).
-48*i**2
Suppose 0 = 6*h - h - 100. Suppose -k = k - h. Let y(v) = 10*v - k*v + v**2. Let l(g) = -2*g. Give y(l(m)).
4*m**2
Let v(s) = s**2. Let d(i) be the third derivative of i**5/120 + i**3/6 + 4*i**2. Let c(x) be the first derivative of d(x). What is v(c(h))?
h**2
Let r(j) = -6*j**2. Let s(n) = -321*n. Determine s(r(x)).
1926*x**2
Let z(y) be the second derivative of -y**4/12 + y. Let o(s) = -s**3 + 4*s**2 + 4*s + 5. Let j be o(5). Let p(n) = -n + n - n + j. Calculate p(z(c)).
c**2
Let u(y) = -4*y**2. Let g(x) = -5*x**2. Calculate u(g(k)).
-100*k**4
Let i(b) = -5*b**2. Let l(w) = 1 - 1 - 3*w**2 + w**2. Give l(i(n)).
-50*n**4
Let c(s) = 15*s + 8*s - 27*s. Let a(g) = -g + 1. Let j(o) = -2*o**2 - 2*o + 2. Let z(t) = -2*a(t) + j(t). What is z(c(u))?
-32*u**2
Let v(g) be the first derivative of g**3 + 13*g**2/2 + 29. Let j(l) = l. Determine j(v(b)).
3*b**2 + 13*b
Let b(x) = 2*x. Let y(c) = -c. Let t(m) = -3*b(m) - 8*y(m). Let l(v) = -3*v**2. Give l(t(r)).
-12*r**2
Let j(l) = 5*l**2. Let y(q) be the second derivative of 1/30*q**5 + 0 + 0*q**3 - 4*q + 0*q**4 + 2*q**2. Let f(d) be the first derivative of y(d). Give f(j(i)).
50*i**4
Let o(k) = -207*k. Let g(j) = 6*j**2. What is o(g(a))?
-1242*a**2
Let r(b) = -b. Let x(m) = -4*m**3 - 2*m**2 + 1. Let z be x(-1). Let u(n) = n**2 - z*n**2 - 6*n**2. What is u(r(g))?
-8*g**2
Let p(r) = -2*r - 7. Let s be p(-5). Let l = 0 - -2. Let f(q) = -s + l*q + 3 + 0. Let j(z) = -3*z**2. Determine j(f(m)).
-12*m**2
Let v(a) = -a. Let t(s) = -7*s**2 - 14. Give t(v(z)).
-7*z**2 - 14
Let d(o) = o**2 + 5. Let y(w) = w**2 + 6. Let a(k) = -6*d(k) + 5*y(k). Let j(b) = 10*b. What is a(j(m))?
-100*m**2
Let p(j) = -j**2. Let c(k) = -k**3 + 5*k**2 + 1. Let a be c(5). Let s(z) = -z - 2 + 1 + a. Give s(p(r)).
r**2
Let j(f) = -4*f**2. Let k(d) = -32*d. Determine j(k(t)).
-4096*t**2
Let u(t) = -4*t**2 + 3*t. Let h(z) = -36*z**2 + 26*z. Suppose -q - 4*d = 60, -4 = -2*d + 4*d. Let a(r) = q*u(r) + 6*h(r). Let l(g) = -g**2. Determine a(l(b)).
-8*b**4
Suppose -6 - 3 = -3*d. Let q(x) = -3*x - 6*x + d*x + 3*x. Let c(p) = -p. Give q(c(f)).
3*f
Let h(r) = 2*r. Let i(f) = f**2 - 2*f + 3. Let n be i(3). Let t(v) = -3*v - n*v + 6*v. Give h(t(x)).
-6*x
Let o(x) = 1381*x. Let k(u) = 3*u. Calculate k(o(q)).
4143*q
Let i(o) = -2*o + 1. Let t(q) = 6*q - 2. Let k(s) = -2*i(s) - t(s). Suppose h = -2*h + 9. Let j(u) = h - 7*u - 3. Calculate j(k(l)).
14*l
Let k(p) = p**2 + 31*p - 31*p - 3*p**2. Let f(m) = -12*m + 2. What is f(k(h))?
24*h**2 + 2
Let u(y) = 2*y**2. Let l(s) = 63*s**2. Determine u(l(t)).
7938*t**4
Let m(w) = 2*w. Let v(l) = l. Let c(o) = 3*m(o) - 4*v(o). Let q(y) = 4*y**2 - 3*y**2 + 5*y**2. What is q(c(x))?
24*x**2
Let g(l) = l. Suppose -2*z - 16 = -4*z. Let t = z + -4. Let q(p) = -2*p - t*p - p + p. Determine g(q(n)).
-6*n
Let w(a) = -33*a**2. Let j(f) = 3*f**2. Determine w(j(t)).
-297*t**4
Let g(h) = 3*h**2. Let b(a) = 3*a**2 + 0*a + 0*a. Let y(n) = -7*n**2. Suppose -5*r + 21 = 2*o, 4*o + 0 + 23 = 3*r. Let d(v) = r*b(v) + 2*y(v). What is g(d(i))?
3*i**4
Let o(r) = 18*r**2 - 2. Let d(w) = -4*w**2. Calculate o(d(p)).
288*p**4 - 2
Let n(h) = -20*h. Let v(r) = r**2 + 7*r. Give n(v(x)).
-20*x**2 - 140*x
Let q(m) be the third derivative of -m**4/24 + m**2. Let h(n) = 4*n + 4*n - 10*n. What is q(h(i))?
2*i
Let d(u) be the first derivative of 5*u**3/3 + 1. Let v(g) = 3*g + 5. Let p(r) = -5*r - 8. Let q(f) = 5*p(f) + 8*v(f). Determine d(q(i)).
5*i**2
Let m(d) = -d + 41*d - 2*d**2 - 13*d. Let t(i) = i. Determine t(m(z)).
-2*z**2 + 27*z
Let s(h) = 2*h - 4. Suppose 15 = 3*v + 2*i, 3*v + 4*i = -v + 16. Let w(g) = 3*g - 7. Let t(p) = v*s(p) - 4*w(p). Let f(z) = 5*z**2. Determine f(t(b)).
20*b**2
Let q be ((-6)/(-9))/2*(-11 + 11). Let u(t) be the third derivative of 0*t**4 - 1/60*t**5 + 0 + 0*t + 3*t**2 + q*t**3. Let o(n) = -2*n. Calculate o(u(s)).
2*s**2
Suppose -n - 2 = -o + 1, o - 5*n = 15. Let h(l) = l**2 - 5*l - 4. Let x be h(6). Let v(j) = 3*j**2 + o*j**x - j**2. Let i(k) = -2*k. What is i(v(f))?
-4*f**2
Let o(g) be the third derivative of g**4/12 + 41*g**2. Let f(v) = -2*v**2 - 6*v. Give f(o(u)).
-8*u**2 - 12*u
Suppose -2*g = -4*g + 40. Suppose -2*z = -4*z + g. Let l(b) = -z*b + 11 - 11. Let f(q) = q**2. Determine l(f(m)).
-10*m**2
Let g(z) = 2*z**2. Let s(o) = 545*o. Calculate s(g(d)).
1090*d**2
Let k(f) be the second derivative of f**4/4 + 4*f. Let i(q) = q**2. Calculate i(k(j)).
9*j**4
Let y(x) = -8*x. Let p(o) = 8*o. Let z(a) = 23*a. Let g(t) = -17*p(t) + 6*z(t). Let k(h) = -9*g(h) - 2*y(h). Let q(u) = -2*u. Give k(q(v)).
4*v
Suppose 0 = -m + 2*k - 8, -k + 3 = -m - 0. Let x(r) = 0*r**m + 0*r**2 + 2*r**2. Let c(i) = -5*i + 473 - 473. Determine x(c(n)).
50*n**2
Let b(d) = -6*d**2. Let z(t) be the third derivative of t**5/60 - 10*t**2. What is z(b(q))?
36*q**4
Let h = -21 - -30. Let v(b) = -h*b - 38 + 38. Let d(a) = 2*a**2. Determine d(v(p)).
162*p**2
Let h(o) = 5*o**2 - 6. Let k(t) = -4*t**2 + 5. Let m(i) = 5*h(i) + 6*k(i). Let j(z) = 20*z. Give m(j(y)).
400*y**2
Let n(r) = -r**2. Let q(a) be the first derivative of -5 + 0*a + 0*a**2 - 4/3*a**3. Determine q(n(s)).
-4*s**4
Let m(j) = 24*j**2 - 29*j**2 - 7 + 7. Let v(b) = 4*b**2. Determine m(v(f)).
-80*f**4
Let n(z) = -z**2. Suppose v - 15 = -2*v. Suppose -v = -4*r + 11. Let w(c) = c**2 - 6*c**2 + r*c**2. What is w(n(o))?
-o**4
Let z be 3/(-6)*2*-3. Let p(y) = -y + z*y - 3*y. Let r(k) be the third derivative of -k**5/12 + 2*k**2. Calculate r(p(a)).
-5*a**2
Let z(t) = -3*t**2 + 3*t**2 + 2*t**2. Let u(j) = -3 - 2*j**2 + 4*j**2 + 3 + j. Let g(p) = p**2 + p. Let i(h) = -g(h) + u(h). Give i(z(w)).
4*w**4
Let p(d) = 7*d. Let y(o) = 414*o. Determine p(y(v)).
2898*v
Let h(f) = 90*f**2. Let l(q) = 10*q**2 - 7*q. Let x(b) = 3*b**2 - 2*b. Let i(d) = -2*l(d) + 7*x(d). Give h(i(j)).
90*j**4
Let s(t) be the third derivative of -t**7/5040 - t**5/30 - 2*t**2. Let b(y) be the third derivative of s(y). Let d(p) = 10*p. What is d(b(q))?
-10*q
Let g(y) = -2*y. Let w(v) = 9*v**2 - 5*v - 13. Give w(g(x)).
36*x**2 + 10*x - 13
Let i(a) = a**2 - 2*a. Let m be i(2). Let c(p) be the third derivative of 1/8*p**4 + 0 + 0*p - 2*p**2 + m*p**3. Let q(u) = u. Give c(q(k)).
3*k
Let g(u) = 3*u**2. Let r(a) = 28*a - 7. Let j(t) = 19*t - 5. Let w(l) = -7*j(l) + 5*r(l). Determine g(w(x)).
147*x**2
Let f(g) = -2*g. Let x(m) = 13*m**2. Calculate x(f(y)).
52*y**2
Let i(y) be the third derivative of y**4/24 + 11*y**2 + 2*y. Let t(o) = 11*o**2 + 0*o + 0*o. Calculate i(t(q)).
11*q**2
Let v(h) be the third derivative of -3*h**5/20 - 9*h**2. Let p(f) = 2*f. Give v(p(x)).
-36*x**2
Let t(h) = h**2. Let s(j) be the second derivative of 0*j**2 - 1/3*j**4 - 2*j + 0*j**3 + 0. Determine t(s(p)).
16*p**4
Let b(p) be the second derivative of -p**4/6 + 6*p. Let i(h) be the second derivative of -1/6*h**3 + 0*h**2 + 0 - h. Give b(i(t)).
-2*t**2
Let k(n) = -2*n**2. Suppose 4*m - m = 0. Let l(h) = 2 + 2*h + m - 2. Give l(k(o)).
-4*o**2
Let n(y) = -4*y + y + 4*y. Let b(c) be the first derivative of 2*c**3/3 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
Let d(g) = -1198*g**4 - 350*g**2 - 8*g - 2. Let w(l) = 4*c(l) - 3*d(l). Find the third derivative of w(x) wrt x.
-28752*x
What is the second derivative of 517*q - 142*q**4 + 5986*q**4 - 548*q + 2697*q**4 + 2537*q wrt q?
102492*q**2
Differentiate -176*s**2 + 253*s**3 + 1787 - 180*s**2 + 213*s**3 + 356*s**2 with respect to s.
1398*s**2
Let p(f) = f**2 + f + 2. Let t be p(-1). Suppose 2*z - 28 + t = 0. Differentiate -7 - 2 - 3 - z*k**4 with respect to k.
-52*k**3
Let w(a) be the third derivative of 2*a - 109/6*a**3 + 15*a**2 + 0*a**4 + 0*a**6 + 0*a**5 - 16/105*a**7 + 0. What is the first derivative of w(z) wrt z?
-128*z**3
Suppose 24*x = 26*x + 56. Let n(d) = -d**2 - 28*d + 3. Let u be n(x). Find the first derivative of -32*j - 28*j**u + 62*j + 15 - 30*j wrt j.
-84*j**2
Let d(i) = 6*i**5 - 7*i**4 - 4*i**3 - 2*i**2 - 813*i - 28. Let u(k) = -k**3 + k**2 + k + 14. Let m(n) = d(n) + 2*u(n). Find the second derivative of m(c) wrt c.
120*c**3 - 84*c**2 - 36*c
Suppose t = -2*j + 3*t - 2, 5*j - 35 = -5*t. Suppose 3*x = 3*h - 27, j*h - 2*h = -x - 1. Differentiate 533 + 21*z**4 - z**4 - 2*z**h - 486 with respect to z.
72*z**3
Let r(k) be the second derivative of -63*k**2 - 10/3*k**3 + 0*k**4 - 59*k + 2 + 0*k**5 + 1/30*k**6. What is the first derivative of r(t) wrt t?
4*t**3 - 20
Let n(q) = -2*q + 21. Let r be n(5). Find the third derivative of 2*g**2 + 792 + r*g**5 - 792 wrt g.
660*g**2
Let p(c) be the first derivative of c + 89 + 19/2*c**2 + 91/3*c**3. Find the second derivative of p(x) wrt x.
182
Let g(f) be the second derivative of 61*f**6/30 + f**4/12 - f**3/2 - 21*f**2/2 + 632*f. Find the second derivative of g(a) wrt a.
732*a**2 + 2
Let q(u) = -28*u**3 + 67*u**2 - 3*u + 12238. Let r(c) = 29*c**3 - 55*c**2 + 3*c - 12241. Let t(x) = -5*q(x) - 6*r(x). Differentiate t(s) wrt s.
-102*s**2 - 10*s - 3
Suppose 5*f + 29 = 4*p, 3*p - 33 = -f + 3. Suppose -2*a = -t - p, 2*a - 4*a = 5*t + 19. Find the third derivative of -38*x**2 + 1138*x - 24*x**a - 1138*x wrt x.
-144
Let g(f) be the second derivative of 451*f**4/2 + 1725*f**3/2 - 5*f + 34. Find the second derivative of g(d) wrt d.
5412
Find the first derivative of 10*u**3 - 10*u**3 - 73*u**4 - 478*u**4 - 118*u**4 - 779 wrt u.
-2676*u**3
Let q(f) = f**3 + 32*f**2 + 58*f - 58. Let b be q(-30). Find the first derivative of 14*y**b - 42*y**2 + 13*y**2 + y - 15 + 16*y**2 wrt y.
2*y + 1
Let h(z) be the second derivative of -297*z**5/10 + z**4/12 - z**3/2 - 316*z**2 + 26*z - 34. Find the second derivative of h(b) wrt b.
-3564*b + 2
Let c(q) be the third derivative of -2/105*q**7 + 0*q + 1/60*q**5 + 0 + 57*q**2 - 53/6*q**3 + 0*q**4 + 0*q**6. What is the derivative of c(f) wrt f?
-16*f**3 + 2*f
Let n = 168 - 158. Find the second derivative of -524*p**4 - 17*p**5 + 526*p**4 - 9*p - n*p wrt p.
-340*p**3 + 24*p**2
Let r be (-2)/4*(11 + -3). Let d(m) = -84*m + 101. Let b(l) = 167*l - 203. Let h(g) = r*b(g) - 9*d(g). What is the first derivative of h(k) wrt k?
88
Let z(p) be the first derivative of -24*p**7/7 + 8*p**5/5 + 4826*p**3/3 + 978. What is the third derivative of z(k) wrt k?
-2880*k**3 + 192*k
What is the third derivative of 556 + 2*j**2 + 3*j**4 - 1496 - 735 + 20*j**5 + 719*j**5 wrt j?
44340*j**2 + 72*j
Let t = 147 + -106. What is the third derivative of 2*s**6 - 15*s**6 + 0*s**6 - t*s**2 - 3*s**6 wrt s?
-1920*s**3
Let j(f) be the third derivative of -2133*f**4/8 + 5422*f**3/3 - f**2 - 229. What is the first derivative of j(o) wrt o?
-6399
Let r(i) = i - 12. Let g be r(14). Let q = g - -3. What is the third derivative of 21*y**5 - 35*y**q - 9*y**2 + 28*y**5 wrt y?
840*y**2
Let n(h) be the second derivative of -491*h**4/6 + 3*h**3/2 + 2*h**2 - 18*h + 26. Find the second derivative of n(r) wrt r.
-1964
Let t(z) = z**3 - 8*z**2 - 7*z - 16. Let m be t(9). What is the second derivative of -2*s**3 - 3*s**m - 8*s**2 - 4*s**2 - 39*s + 11*s**2 wrt s?
-12*s - 8
Suppose 7*p = 4*p + 3. Let w(y) = -y. Let t be ((-10)/4 + 3)*2. Let c(a) = -16*a**2 + 7*a. Let h(d) = p*c(d) + t*w(d). Find the second derivative of h(b) wrt b.
-32
Suppose 2*y = -3*f + 2 + 4, -5*f - 3*y + 10 = 0. Let u = 80 + -78. What is the second derivative of -2*t**f - 3 - u + 5 + 24*t wrt t?
-4
What is the second derivative of -1198521*v**4 + 1200199*v**4 + 0*v - 197 - v wrt v?
20136*v**2
Let h(w) be the third derivative of 0*w**4 + 0*w**6 + 0 - 27*w**2 - 20/3*w**3 + 0*w**5 + 0*w - 1/15*w**7. Differentiate h(y) wrt y.
-56*y**3
Let t(y) = -3926*y + 5009. Let n(d) = 11744*d - 15025. Let o(x) = 6*n(x) + 17*t(x). Differentiate o(s) with respect to s.
3722
What is the second derivative of -2356*c**3 + 11 + 1074*c**3 + 91*c - 17 wrt c?
-7692*c
Let f(n) be the second derivative of 8*n**7/3 - 3*n**5/20 - 23*n**4/2 - 7*n**3/6 - 126*n. What is the third derivative of f(o) wrt o?
6720*o**2 - 18
Let n(d) = -2*d**2 - 24*d + 3. Let o be n(-12). What is the second derivative of -193*l**3 + 2*l - l**4 - 233*l**o + 448*l**3 - 25 wrt l?
-12*l**2 + 132*l
Let b(p) be the second derivative of 0*p**4 - 1 + 0*p**3 - 7*p**2 - 18*p - 13/10*p**5. Differentiate b(l) wrt l.
-78*l**2
Suppose -3*p + 16 = 4*b - 15, 2*b = 8. What is the third derivative of -260*c**2 - c**4 + 84*c**p - 2*c**4 + 89*c**2 + 3*c**4 wrt c?
5040*c**2
Let q(g) be the second derivative of 267*g**3/2 - 115*g**2/2 - 1116*g. What is the derivative of q(u) wrt u?
801
Let f(g) be the third derivative of 0 + 0*g - 169*g**2 - 1/3*g**3 - 3/4*g**6 + 13/12*g**4 - 1/60*g**5. Find the second derivative of f(q) wrt q.
-540*q - 2
Let u(m) = 1461*m**2 - 17*m + 215. Let a(h) = 4*h**2 - 5*h. Let w(v) = -4*a(v) + u(v). Find the second derivative of w(d) wrt d.
2890
Let p be 84/49 - 4/(-14). Suppose -3*v + 19 = -p. Find the first derivative of -17*z**4 - v*z**2 + 2 + z**2 + 6*z**2 wrt z.
-68*z**3
Let m be ((1 - 1) + 14)*(-12)/(-24). Let b be 2/m - 57/(-21). What is the third derivative of -62*w**3 - 7*w**2 + 20*w**b + 33*w**3 wrt w?
-54
Let t(n) be the second derivative of -2287*n**4/12 - n**3/2 + 471*n**2 - n - 155. What is the second derivative of t(v) wrt v?
-4574
Let y(x) be the first derivative of 3179*x**4/4 + 2156*x - 2216. What is the first derivative of y(m) wrt m?
9537*m**2
What is the second derivative of -169 - 180 - 169 - 51*u**2 - 117*u + 504 - 13*u**3 wrt u?
-78*u - 102
Let v(l) be the third derivative of 2*l**6/15 + 13*l**4/24 - 689*l**3/3 + 7*l**2 - 3*l. Find the first derivative of v(g) wrt g.
48*g**2 + 13
Let x(i) be the third derivative of 2117*i**5/60 + i**4/8 - 183*i**3/2 + 34*i**2 + 10*i. What is the second derivative of x(c) wrt c?
4234
Suppose -4*t + 4*p + 184 = 8*p, 2*t = 2*p + 80. Let z = t - 38. Find the third derivative of 14*d**z - 24*d - 22*d**2 + 24*d wrt d.
840*d**2
Let s(j) be the second derivative of j**7/7 + 3*j**4/2 + 2314*j**3/3 + 1058*j. What is the second derivative of s(d) wrt d?
120*d**3 + 36
Let c(q) be the second derivative of 0*q**6 + 0*q**5 - 71/12*q**4 - 43/42*q**7 + 0*q**3 - 140*q + q**2 + 1. What is the third derivative of c(f) wrt f?
-2580*f**2
Let n(c) be the first derivative of 97*c**8/1680 + 35*c**4/4 - 23*c**3/3 - 50. Let j(w) be the third derivative of n(w). What is the derivative of j(d) wrt d?
388*d**3
Let x = 70 - 43. Differentiate -15 + x*d + 2*d + 7*d + 10*d with respect to d.
46
Let m(q) = -4*q + 4. Let g be m(1). Suppose -2*s - 4*h + 12 = 0, -s + 4*h = -g*s - 24. What is the second derivative of 3*n**3 - 3*n + s*n + 0*n + 3*n wrt n?
18*n
Let a(r) be the first derivative of 7*r**4/2 + 7*r**3/3 + 474*r**2 - 1083. What is the second derivative of a(o) wrt o?
84*o + 14
Let j be (-4 + 9 - (0 - -2)) + -1. Suppose -j*c - 10 = -14. Differentiate c + 0 - 2 + 16 + 17*l**2 wrt l.
34*l
Suppose -b + 11 = -j, 3*j = b - j - 26. What is the third derivative of -80*r**2 + 15 + 5 + 0 - 128*r**b + 83*r**2 wrt r?
-15360*r**3
Let o be -4 + (-5)/(-2) - 27/(-6). Suppose -5*s - 38 = -2*d, 50 = -o*d + 7*d + 3*s. Differentiate -2 - 3 + 6 - 23*p - d with respect to p.
-23
Suppose -20*d + 12*d = -120. What is the second derivative of -d*k + 2 + 13*k - 5 + 10*k**3 + 2*k**2 - 5*k wrt k?
60*k + 4
Suppose 0 = 34*f - 32*f - 6. What is the derivative of 48 - 94*m**f - 80 + 64 wrt m?
-282*m**2
Let l(h) = -8053*h**3 - 194*h**2 + 2*h - 5. Let q(k) = 8080*k**3 + 195*k**2 - 3*k + 5. Let t(y) = 3*l(y) + 2*q(y
|
{
"pile_set_name": "DM Mathematics"
}
|
se 2*w + 7 + 3 = 0, -s + 3*w + 19 = 0. Let r be s/3*(-150)/(-4). Let n be 18/(1 + 0) - -2. What is the greatest common factor of n and r?
10
Let d(n) = 37*n - 4. Let c(r) = r**3 + 12*r**2 - 13*r + 4. Let k be c(-13). Let j be d(k). What is the highest common divisor of 16 and j?
16
Let u be 1/(4 + 909/(-228)). Let z = u + -149. Let m = z - -113. Calculate the greatest common divisor of 16 and m.
8
Let b(v) = v**3 + 12*v**2 - 14*v - 15. Let h be b(-12). Calculate the highest common divisor of h and 9.
9
Suppose 5 + 19 = 6*z. Suppose z*l + 77 - 401 = 0. What is the highest common factor of 9 and l?
9
Let b = 32 + -38. Let y be (b - 10)*(-7 + 1). What is the highest common factor of y and 12?
12
Let z = -18 + 18. Suppose 2*t - j = 10, -t + 6 + z = -j. Let u(g) = 7*g**2 + g. Let m be u(-1). Calculate the highest common factor of t and m.
2
Suppose -25*f = -6*f - 19950. Calculate the highest common divisor of f and 126.
42
Let s = 1813 + -1573. Calculate the highest common factor of 64 and s.
16
Let h = 5594 - 3865. Calculate the greatest common divisor of 91 and h.
91
Suppose 2*v - 4*x = 48, 0 = 5*v - 9*v - 2*x + 56. Let t be (-1)/4 - (-148)/v. Calculate the greatest common factor of t and 3.
3
Let p(a) = 44*a - 1260. Let i be p(36). Calculate the greatest common divisor of i and 351.
27
Suppose 385 = 5*f + 3*j, -16*f + 13*f - 4*j + 220 = 0. Calculate the highest common factor of 100 and f.
20
Suppose 4*f - 1766 = -2*k, 0 = 2*f - k - 1173 + 292. Calculate the highest common factor of f and 9.
9
Suppose t - 4*a = 98, -4*a = 5*t - 7*a - 456. What is the greatest common factor of t and 30?
30
Suppose 0 = 22*v - 34*v + 336. What is the highest common factor of 490 and v?
14
Let o(b) = -4*b**3 - 17*b**2 + 14*b + 29. Let u be o(-5). Let k be 305 - -1*(0 - -1). Calculate the highest common factor of u and k.
34
Let d be ((-1)/3)/(12/(-2124)). Suppose -5*x = 39 - d. Suppose x*y = s - 20, -2*s + 43 = -y - 4*y. What is the greatest common divisor of s and 36?
12
Let j(c) = c**3 - 6*c**2 - 3*c - 8. Let r be j(7). Let v be (8 + 72)/((-2)/(-4)). Calculate the highest common divisor of v and r.
20
Suppose 7*f - 15 = 5*a + 2*f, -4*f + 12 = -2*a. Suppose -9*z + 2250 - 630 = a. What is the highest common factor of z and 20?
20
Let v(l) = 11*l - 55. Let x be v(6). What is the greatest common divisor of x and 275?
11
Suppose a + 2*x - 62 = 0, -59*a = -54*a + x - 301. What is the greatest common divisor of 860 and a?
20
Let m = -17 + 17. Suppose m = 2*g + 4*g - 6. Let l(o) = 220*o. Let p be l(g). Calculate the highest common divisor of p and 20.
20
Suppose 0*n - 5*n = -10. Suppose -10 = -n*b + 80. Let m = -179 + 194. What is the greatest common factor of b and m?
15
Let h = -322 + 333. Suppose -3*r + 0*r + 429 = 0. Calculate the greatest common factor of r and h.
11
Let q(d) = 133*d - 299. Let p be q(26). What is the greatest common divisor of 117 and p?
117
Let y(n) = 2*n**2 - 42*n + 8. Let o be y(21). Let d = 85 + -13. What is the greatest common factor of o and d?
8
Let t = 2 + 12. Let b(q) = -17*q - 27. Let u be b(-9). What is the highest common divisor of u and t?
14
Let f(v) = -v**3 - 8*v**2 - 6*v + 10. Let p be f(-7). Let n be (-2211)/(-21) + p/(21/(-2)). Calculate the greatest common divisor of 63 and n.
21
Suppose 2*i - 15 = n, 2*i + 4*n = -2 - 8. Let c be i/2*24/12. Suppose -2*h + 5*r = -17 + 2, h + c*r = 0. What is the greatest common factor of 25 and h?
5
Suppose 3*o - 445 = -22. Let v = o - 82. What is the highest common factor of 118 and v?
59
Suppose -5*o + 1516 + 809 = 0. What is the greatest common factor of 60 and o?
15
Let r(o) = o**3 - 5*o**2 - 5*o + 2. Let d be r(6). Let z = -41 + 44. Let k(s) = -s + 4. Let q be k(z). Calculate the greatest common divisor of q and d.
1
Let s = 74 - 68. Suppose 21 - s = 5*g. What is the greatest common divisor of g and 2?
1
Let k = 383 - 365. Let y(a) = a**2 - 4*a. Let s be y(-5). Calculate the greatest common factor of k and s.
9
Let q = 961 + -387. Calculate the greatest common divisor of q and 41.
41
Let g(i) = i - 27. Let t be g(24). Let r = 75 + t. Calculate the greatest common divisor of r and 8.
8
Let r(x) = -x + 54. Let t be r(0). Let h be (-4)/8 + (-23)/(-2). Suppose -2*s = l - h, 10 = 2*s + 5*l + 3. What is the greatest common divisor of t and s?
6
Let v = -526 + 555. What is the highest common factor of v and 493?
29
Suppose 0 = -3*m + 41 - 2. Suppose -4*v + 404 = 4*c, 2*c = v + 198 + 13. Calculate the greatest common factor of c and m.
13
Let h be (784/(-84))/((-8)/18). Calculate the highest common divisor of 7 and h.
7
Let n(q) = -5*q. Let a be n(-2). Suppose m + 498 = 7*m. Let j = m - 13. Calculate the highest common divisor of a and j.
10
Suppose -2*b = l + 7, -5*b - 29 + 4 = 0. Let p = l - 1. Let d = 79 + -67. Calculate the highest common divisor of p and d.
2
Let h be (-3)/(2 - (-25)/(-14)). Let c(d) = -45*d + 267. Let r be c(5). Let w = h + r. What is the greatest common divisor of 14 and w?
14
Suppose -14 = -k + 2*a, -22*k + a = -17*k - 97. What is the greatest common divisor of k and 32?
4
Let j(t) = t**3 - 7*t**2 - 7*t - 3. Let l be j(8). Suppose -6*b + 4*b + 10 = 0. What is the highest common divisor of b and l?
5
Let s be 27/(-15)*100/15*-18. Calculate the highest common factor of 384 and s.
24
Suppose 0 = 5*v - 63 - 37. Suppose 0*h - 19 = -h - 4*l, 5*l - v = 0. Let u be 1 + (-5 - -2) + (2 - -21). What is the greatest common factor of h and u?
3
Let o(y) = -y**2 - 4*y - 1. Let k be o(-5). Let m be (-116)/4 - 2*-1. Let z be ((-279)/m)/((-2)/k). Calculate the greatest common factor of z and 217.
31
Let d be 4 - 6*(-2)/(-3). Suppose d = 5*b - 4*s + 12 - 157, -3*s = 0. Suppose b + 23 = 2*z. Calculate the highest common divisor of z and 13.
13
Suppose -8*l + 4*l + 4*p + 100 = 0, 4*p = 2*l - 40. What is the highest common factor of l and 40?
10
Suppose -87 = 5*p - 237. Let z be (-9 - 27)/(0 + (-8)/20). Calculate the highest common divisor of z and p.
30
Let m = 237 + 987. What is the greatest common factor of m and 51?
51
Let k(m) = -13*m + 59. Let s be k(4). Calculate the highest common divisor of 336 and s.
7
Let w be (16 - 13) + (-2)/(-1). Suppose 18 = -7*v + 123. Calculate the greatest common divisor of w and v.
5
Suppose 0 = -c + 2*l + 17, -9*c - 3*l = -4*c - 72. What is the greatest common factor of c and 630?
15
Suppose -515 - 8221 = -91*w. What is the highest common factor of w and 144?
48
Let g = 7 - 1. Suppose 542*k - 432 = 534*k. Calculate the greatest common factor of k and g.
6
Let n = -94 - -106. Suppose -3*l - 378 = -n*l. What is the greatest common divisor of l and 105?
21
Let f(y) = 26*y - 3. Let r be f(1). Suppose 5 = -s + r. What is the highest common divisor of 9 and s?
9
Let u(m) = 53 - m**3 + 2*m**3 - 81 - 7*m + 40 - 6*m. Suppose -9 = -2*j + 1. Let p be u(j). Calculate the highest common factor of 18 and p.
18
Let a = 90 - 64. Let m be -3 + 10/(-8)*-4. Suppose -3*f = m*g - 87, 4*g + 4*f - 30 = 138. What is the highest common factor of g and a?
13
Let b(m) = 2*m**3 - 9*m**2 + 10*m + 4. Let a = 44 + -37. Let u be b(a). Calculate the greatest common divisor of 29 and u.
29
Let s = 149 - 101. Let n(g) = -2*g**2 + 13*g + 9. Let v be n(7). Let x be 72/(4/v) + -4. Calculate the greatest common factor of s and x.
16
Let c be 14/(-21) + 357/9. Let t = -39 - -65. What is the greatest common factor of c and t?
13
Suppose r - 332 = -5*p, -5*r = 27*p - 25*p - 1614. Calculate the greatest common divisor of r and 56.
14
Suppose -13*k = 13*k - 5096. What is the highest common divisor of 4 and k?
4
Suppose 187 + 802 = 43*i. Calculate the highest common divisor of 207 and i.
23
Let k(h) = -13*h + 1. Let z be k(-4). Let f be (z + -1)*5/(-4). Let x = -33 - f. What is the greatest common factor of x and 48?
16
Suppose -5*j = -7*j + 8. Suppose 3*s = -5*d + 145, -4*s = j*d + s - 103. Let q = d - 28. What is the greatest common divisor of 44 and q?
4
Let h(r) = -r**3 + 9*r**2 - 11*r - 3. Let c be h(6). What is the greatest common divisor of 27 and c?
3
Let s be (-1 - (-10)/6) + 16678/93. Calculate the highest common factor of s and 10.
10
Let v be 1/(1/(-6) - 4/12). Let n be 48 + (v/8 - 2/(-8)). What is the greatest common divisor of n and 32?
16
Let v = -5 + 10. Let m = v + -8. Let o be (-9)/(
|
{
"pile_set_name": "DM Mathematics"
}
|
nominator of a and 91/6?
12
Suppose 0 = 89*l - 88*l - 270. Calculate the common denominator of (-10)/l*67*-1 and -50/27.
27
Let y = -36307803/22 - -1650941. Suppose 432 = -w - 153. Let m = w + y. Find the common denominator of m and 89/2.
22
Let t(i) = i**3 + 9*i**2 - 3*i - 22. Let f be t(-8). Let g = 75 - f. Calculate the smallest common multiple of g and 79.
711
Let s(g) be the third derivative of -g**6/120 + g**5/10 + 7*g**4/24 + 3*g**3 - 8*g**2. Calculate the least common multiple of s(7) and 8.
72
Suppose 15 = 3*k - 2*t - 29, 3*k = 4*t + 52. Suppose -2*g + 52 = -4*n + 7*n, k = n + 2*g. Calculate the lowest common multiple of n and 38.
380
Calculate the common denominator of 71/9 and -4*2 + (-26239)/(-3078).
162
Calculate the common denominator of 107/20 and (-350)/(-24) + (-144)/18.
60
Calculate the common denominator of -49/72 and -4 + 2776/960 + (-1)/(-3).
360
Suppose 5*m = -6 + 1. Let y be (3 - (-1)/m)*4. Calculate the common denominator of (1*101)/(y - 10) and 131/18.
18
Suppose 0 = -5*z - 169 - 161. Let p = -52 - z. Calculate the least common multiple of p and 66.
462
Let m = -77 - -77. Find the common denominator of 85/4 and (335/10 + m)/(-6).
12
Let j(a) = 5*a**2 + 3*a + 150. What is the smallest common multiple of 75 and j(0)?
150
Let b be 3/(((-9)/(-2))/(-3)). Calculate the lowest common multiple of b/((-8)/76) - -3 and 6.
66
Let f be (-4388)/(-14) + -1 + -1. Let s = -312 + f. Find the common denominator of s and (-2)/(40/(-86)) + (-10 - (11 - 28)).
70
Suppose 0 = 2*i + 1 + 23. Suppose -2*f + 3*f - 14 = 0. Let o = i + f. Calculate the smallest common multiple of 2 and o.
2
Let d(m) = m**3 - 8*m**2 + 9*m + 1. Let i be d(7). Suppose i*k = 6*k + 72. What is the lowest common multiple of 40 and k?
40
Suppose -4*h - 19*h = 115. Let n(a) be the first derivative of a**4/4 + 2*a**3 + 3*a**2/2 + 6*a - 1. Calculate the least common multiple of n(h) and 22.
176
Let i(w) = 2*w - 26. Suppose 108 = 4*n - n. Calculate the lowest common multiple of n and i(15).
36
Suppose 0 = -16*q + 99 + 13. Suppose j - 2*j = -5. Calculate the least common multiple of j and q.
35
What is the common denominator of (-689)/234*21*(-2)/(-42) and -27/4?
36
Let l be 2 + 95/(-18) - 1. Let x = -983/72 - l. Suppose 274 = -5*o + 69. Find the common denominator of x and o.
8
Find the common denominator of (0 + (-848)/(-264))/(-8) and -23/4.
132
Let j be (-39232581)/(-8487) - 3/(-9). Let h = j + -4623. Let f = -63187/5658 + h. What is the common denominator of f and -33/16?
48
Suppose 0 = -4*l - 28. What is the common denominator of -2/3 and 926/112 + l/49?
24
Suppose 5*z = 5*h, h + 0*h = -4*z + 15. Suppose -2*f - 63 = -3*c, 2*f + 84 = 4*c + h*f. Let t = c + -10. What is the least common multiple of t and 8?
88
Let c = 1219 + -9767/8. Let g = 2655 + -29163/11. Calculate the common denominator of c and g.
88
Find the common denominator of -31/18 and (-72)/(-684) - 1072/(-285).
90
Let d = 6595 - 132003/20. Calculate the common denominator of 117/10 and d.
20
Let x be 1 + -165 + -5 - 4. Find the common denominator of -65/69 and 2*x/60 + (-6)/(-9).
690
Let h = -429/47 - -5489/658. Let g = -13186695/254 - -51916. Let x = g - 11817/2032. Calculate the common denominator of x and h.
112
Let g be (-4)/(-16)*54*-2. Let t = g + 47. What is the least common multiple of 16 and t?
80
Let r(t) = -t**3 - 11*t**2 - 25*t - 37. Calculate the least common multiple of r(-9) and 8.
104
Suppose -14*x = 309 - 2325. Let z be 3/(-3)*142 + 2. Calculate the common denominator of -49/10 and (z/x + 0)*4.
90
Let p = 4424 + -13306/3. Calculate the common denominator of (-9)/(-5)*(-37)/6 and p.
30
Let y = -16 - 1. Calculate the common denominator of ((-24)/18)/(2/y) and -65/6.
6
Let f = 10407 - 572401/55. Calculate the common denominator of f and -31.
55
Suppose -99 = 5*y - 14*y. Suppose 37 = z + 2*t, -6*z - 4*t - 115 = -y*z. Calculate the smallest common multiple of z and 30.
270
Let z(s) = -3*s**3 - 3*s**2 - 6*s - 4. Suppose 0 = n - q - 3, -3*q = -2*n + 2*q + 9. Calculate the smallest common multiple of z(-4) and n.
164
Suppose 3 - 21 = -j. Let t(h) = 5*h**2 + 324*h - 62. What is the smallest common multiple of t(-65) and j?
18
Let m = -109 + 294. Calculate the smallest common multiple of m and 74.
370
Let w(s) = -s**2 - 41*s - 356. Calculate the smallest common multiple of w(-28) and 204.
408
Let a = -204 - -221. What is the smallest common multiple of a and ((-3)/(-3))/(2/18)?
153
Suppose 4*s + 3*v + 14 = 51, 3*v = 3*s - 12. Suppose 3*c + 28 = s*c. What is the lowest common multiple of 9 and c?
63
Let h(l) = 30*l. Let k be h(6). Find the common denominator of 1*3 + (-410)/k and -59/16.
144
Suppose 3*o - 34 = a, 20 = 2*a + 16. What is the smallest common multiple of o and 24 - (-1)/((-2)/(-6))?
108
Suppose 5*x + 90 = 2*d, 0 = -6*x + x. What is the smallest common multiple of (5 + 1)/(6/4) and d?
180
Calculate the common denominator of 39/34 and 14166/816 + -13 - (-10)/(-2).
136
Find the common denominator of -41/56 and ((-29)/36 - -1)/((-60)/(-234)).
840
Let g = 247 + -227. What is the smallest common multiple of 128 and g?
640
Calculate the lowest common multiple of 9 and (-6*2)/(152/(-342)).
27
Calculate the common denominator of (-109865)/9928 + 2/(-34) and -2 + ((-39)/2 - 2).
8
Suppose 5*b = 2*b + 3*v + 3, -5*v = -15. Suppose -85 = -11*o - 8. Calculate the lowest common multiple of o and b.
28
Let f = -1908 + 1919. Calculate the least common multiple of f and 718.
7898
Suppose 13*p - 22684 + 2456 = 0. Let l = -983/4 - -797/4. Calculate the common denominator of l and p/252 + 4/(-14).
18
Suppose 63*y - 104 = 11*y. What is the least common multiple of y and 157?
314
Let d = 3683 - 29529/8. Let p = 113174693/22 + -5163142. Let y = 18842 + p. Calculate the common denominator of y and d.
88
Let f(n) = 8*n + 54. Let v be f(-6). Suppose -71 = v*j - 239. Find the common denominator of j and -49/9.
9
What is the smallest common multiple of 6 and (-1)/(-5) - 308/(-110)?
6
Suppose 3*m - 5*v = 6, -3*m - 4*v = -0*m - 6. Suppose u = -i - 3*i + 25, -2*u + m = 0. Calculate the lowest common multiple of (18/4)/(2/4) and i.
18
Let t(y) = 2*y**2 - 4. Let v be t(3). Let d = -4 - -6. Suppose d = 2*u - v. Calculate the smallest common multiple of 2 and u.
8
Let w(h) = h**3 - 8*h**2 + 14*h + 4. Let m be w(5). What is the smallest common multiple of 12 and (-15 - -4)*(m + 2/(-2))?
132
Let p = -2053797/56 + 36673. What is the common denominator of p and -5/84?
168
Let w be 3 - (38 + (-5 - -2)). Let v = w + 35. Calculate the common denominator of -1/6 and 1*190/(-18) + v.
18
Let r be 0 - (77930/35 - 4). Let y = r + 2219. What is the common denominator of 87/2 and y?
14
Find the common denominator of -35/72 and (31/7)/(720/(-210)).
72
Let s(j) = 6*j**2 + 10*j - 1. Let z be s(-2). Suppose -4*p + z*p = -6. Calculate the least common multiple of 8 and p.
24
Let h(g) = g**3 + 3*g**2 - 3*g - 1. Let y be (-35)/15 - (-4)/(-6). What is the lowest common multiple of h(y) and 5?
40
Suppose 3*p = -0*p - 4*u - 65, 0 = -p + 5*u + 10. Let g = 7 - 5. What is the lowest common multiple of (-87)/p - (-2)/10 and g?
6
Let n(r) = 7*r**2 + 8*r - 5. Let f be n(5). Suppose 6*v + 66 = f. Calculate the lowest common multiple of 27 and v.
216
Let d = 26273/9 - 5851/2. Calculate the common denominator of d and 1125/54 + -3 - 2*-1.
18
Suppose -46 = 3*k - 5*k. Suppose -4*o + k = -25. Let b(c) = -8*c - 402. What is the smallest common multiple of b(-51) and o?
12
Let k(p) = -p**3 - 7*p**2 - 6*p + 3. Let b be k(-6). Suppose 4*r - 45 = b*c, 0*r - 30 = -5*r - 5*c. Calculate the lowest common multiple of 8 and r.
72
Suppose -3*n + 32 = -2*q, -5*n - 12 = 2*q - 60. What is the least common multiple of 20*(15/(-33))/(17/(187/(-2))) and n?
50
Let h(f) = -f**2 - 12*f - 23. Suppose 0 = 2*a - 7*a - 50. Let q be h(a). What is the common denominator of 53/48 and 484/(-32) - -1 - q?
48
Suppose 3*c - 107 = -41. Suppose -6 - c = -2*a. What is the lowest common multiple of a and 4/(-6) - 38/(-3)?
84
Suppose -136 = -5*z + m, -9 + 94 = 3*z - 4*m. Let w = -6 + z. Calculate the smallest common multiple of 27 and w.
189
Let z(d) = -3*d**2 - 4*d - 4. Suppose -6*v + 3 = -7*v. Calculate the common denominator of z(v) and 3 - ((-90)/4 - -3).
2
Let c = 2 - -108. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
k = l - -87. Is k a prime number?
False
Let o(z) = z**3 + 30*z**2 + 6*z + 20. Let m be o(-23). Let b = m + -362. Is b prime?
False
Let k(z) = z + 7. Let x be k(-5). Let q(h) = x - h + 0*h + 267*h**3 - 35*h**3. Is q(1) a composite number?
False
Suppose 0 = 46*y - 72*y + 488956. Is y composite?
True
Let j(f) = -5693*f + 19. Let g be j(-8). Suppose -12*c + g = 4175. Is c a composite number?
False
Suppose 115*b - 1964 = 111*b. Is b composite?
False
Let l(k) = -2*k - 13. Let m be l(-6). Let t be ((-111)/9)/(m/(-3)). Let o = t + 122. Is o composite?
True
Suppose -40671 = 12*g - 243267. Is g composite?
False
Let y(j) = 2*j - 4266. Let k(h) = h - 2133. Let l(n) = -5*k(n) + 3*y(n). Let f be l(0). Is (-6)/(-21) + f/(-7) composite?
True
Let i be 2/(-5) + 764/10. Suppose 3*n = 83 + i. Suppose 0*v - v = -n. Is v prime?
True
Let m = -2086 + 4589. Is m prime?
True
Let h = 1539 - 752. Is h a prime number?
True
Let w(z) = z**3 + 3*z**2 + 2. Let h = -15 - -12. Let g be w(h). Suppose -4*r + g*y = -r - 215, 0 = 4*y + 16. Is r a composite number?
True
Let f be 0/((-3)/6*2). Suppose f = -2*u - 2, -2*q + 4*u = -q - 193. Suppose 5*x + q - 994 = 0. Is x a composite number?
True
Let z = 56546 + 33677. Is z a prime number?
False
Let h be (16/10)/(-2) + 96678/(-90). Let l = -186 - h. Is l a prime number?
False
Let c = -16 - -22. Suppose -v = c*v - 5201. Is v a composite number?
False
Let h be 0/((-5)/(15/9)). Suppose h = -k - 0*k - 2*a + 534, 0 = -4*k - 4*a + 2148. Suppose -74 = -2*i + k. Is i composite?
False
Suppose -100*d + 104*d + 5*y = 4416, 4*d - y = 4392. Is d prime?
False
Let f be ((-502)/10)/((-7)/35). Suppose 0*a + f = a. Is a a composite number?
False
Let s(u) = 1082*u - 5. Let z be s(4). Suppose -15*q + 12*q = -z. Is q composite?
True
Let z(s) = -12 - 1579*s**3 + 0*s + 3*s - 5 + 18 + 2*s**2. Is z(-1) a composite number?
False
Let j be ((-952)/6)/(8/(-24)). Suppose j = -c + 5*c - 4*r, 0 = 5*r. Is c prime?
False
Let r = 2883 - -3168. Suppose -1354 = -5*m + r. Is m prime?
True
Suppose -8*a + 4*a - 12 = 0. Let r be a + 1 + -2 + -30. Is (r/3)/(6/(-45)) a prime number?
False
Let u be -12*14*1/(-6). Suppose m = -6*m + u. Suppose m*z - 2*z - 370 = 0. Is z composite?
True
Let i(o) = 2*o**3 - 24*o**2 - 20*o + 11. Suppose -2*t + 3*b + 11 + 18 = 0, b = 5*t - 92. Is i(t) prime?
False
Suppose h - 9 = -7. Suppose -h*d = 5*o - 432, 3*o = -3*d + o + 626. Suppose j = -15 + d. Is j a composite number?
False
Suppose -5*a = 3*r + 2*r - 5, 0 = -5*r + 4*a + 14. Suppose 0 = -r*g - 26 + 6. Is 2/5 - 486/g composite?
True
Let b be 2*-2*57/(-76). Suppose 7 - 2 = n. Suppose -b*s = -n*s + 66. Is s a prime number?
False
Let r = 15401 - -39402. Is r composite?
True
Suppose -4*t = 18634 - 86726. Is t a composite number?
True
Suppose 1062 = -c + 2*u, 2145 = -2*c - 5*u + 3. Let v = 1905 + c. Is v a composite number?
False
Suppose 0 = -151*b + 157*b - 106626. Is b a prime number?
False
Suppose -y + 830 = 5*n, 4*y - 3412 = 2*n + n. Let f = 1491 - y. Is f composite?
False
Let w = -14 - -11. Let h = 7 + w. Is 1 + -1 + 508/h a composite number?
False
Let m(b) = -b - 15. Let t be m(-18). Is (24/(-9) + t)/((-2)/(-7698)) a composite number?
False
Let x = 11 - 11. Suppose -211 = -3*q + i, 2*i + 67 = q - x*i. Is q a composite number?
False
Let p(v) be the third derivative of -v**5/20 + 3*v**4 - 5*v**3/6 - 2*v**2 + 5*v. Is p(22) prime?
True
Suppose 5*k - k - 8 = 0. Suppose 0 = -3*v - 14 - 16. Is 25/v*(k + -6) composite?
True
Let c(a) be the first derivative of a**3/3 + 2*a**2 - 3*a + 5. Let h be c(-5). Suppose 4*r - 326 = h*r. Is r a composite number?
False
Is 4996/10 + (48/(-40))/2 composite?
False
Suppose 0 = -5*l, -3*p = 2*l - 2636 - 226. Let z = p - 509. Let a = z + -212. Is a prime?
True
Suppose 27*i - i - 394238 = 0. Is i a prime number?
False
Suppose 0 = -r - 1, z + 3*r - 12 = -2*z. Suppose 0 = z*q - 4 - 6. Suppose 0 = q*i + 3*i - 655. Is i composite?
False
Let w be 4203/27 + (-4)/6. Let f = w + -66. Is f a prime number?
True
Suppose 6 = 3*m - 4*b + 18, -m + 15 = 5*b. Suppose l + 5*o - 201 - 130 = m, o = 4*l - 1219. Suppose -t + 10 = 2*u - 153, -4*u + 2*t = -l. Is u prime?
True
Let q be (-7)/(-21) + 6514/6. Suppose -p + 226 = q. Is p/(-4) - (0 + -2) a composite number?
True
Let h = -715 + 2126. Is h a prime number?
False
Let f = -737 - -1056. Suppose 4*d = 1611 - f. Is d + 3 + (-3 - -6) prime?
False
Let x = 573 + -270. Suppose -3*v - 4*y = -913, y - x = -v - y. Is v composite?
False
Let w = 704 - -93. Is w prime?
True
Let y(g) be the first derivative of 5 - 5/2*g**2 + 68*g**3 - 5*g. Is y(-2) a composite number?
False
Suppose 7792 = 3*w + 5*j, w + 2*j - 1047 = 1550. Is w a composite number?
True
Let p = 9 - -3. Suppose 0 = -2*l + 5*m - 4*m - 1, -2*m - 6 = 0. Is ((-1218)/p)/(l/4) prime?
False
Let w(z) be the third derivative of 2*z**2 + 0*z**4 + 0*z + 1/6*z**3 + 3/10*z**5 + 0. Is w(4) composite?
True
Let v(d) = d**2 - 16*d - 35. Let z be v(18). Let s(u) = 52*u + 3. Is s(z) a composite number?
True
Let q(h) = -h**3 - 7*h**2 - 9*h + 4. Let s be q(-4). Is (0 + -4)*((-2030)/s)/(-5) a prime number?
False
Let g(t) = 1940*t - 105. Is g(19) a prime number?
False
Let w = -8 - -9. Suppose 17 + w = 3*s. Is 3/s*-2 - -420 prime?
True
Suppose 7*i = 5*i + 18. Let p be 2 + -6 + i + 2. Suppose -p*g + 1266 = -g. Is g a composite number?
False
Let o(r) = 2*r + 6. Let y be o(3). Is 8394/8 - (3/y - 0) a composite number?
False
Let i(n) = -n**3 + 7*n**2 + 2*n - 1. Suppose 19 = 4*f - m, 3*f = 3*m - 0*m + 12. Is i(f) a prime number?
True
Suppose -5*k + 3*k + 961 = 5*v, 2*v = -2. Let p = k + -196. Is p composite?
True
Suppose 5*v - 2*z = 3935, v - 16*z - 787 = -20*z. Is v composite?
False
Let w = -1 - -9. Let q(n) = 18*n - 52*n**2 + 4 + 50*n**2 - 6. Is q(w) a prime number?
False
Let b(s) = 63*s**2 + 2*s - 56. Is b(21) a prime number?
False
Let q(o) = o**2 + 3*o - 33. Let k = 49 + -32. Is q(k) a composite number?
False
Let b(l) = 1231*l**2 - 19*l + 3. Is b(8) composite?
True
Let r(f) = -4*f + 0*f - f - 7 + 9*f**2 + 5. Suppose 3*h + 4*s + 4 = 0, 3*s = 2*h - s - 24. Is r(h) a prime number?
False
Let n(i) = -15*i + 5. Let j be n(2). Let t be ((-18)/15)/(10/j). Suppose -5*d + 1274 = 4*a - 2*d, 0 = -t*a + d + 949. Is a a prime number?
True
Let v be (64398/24)/(2/(-8)). Let c = -7300 - v. Is c composite?
False
Let k be 20/4*6/15. Is (4 - (-609)/6)*k a prime number?
True
Suppose 4*r - 16 = 2*r. Let g(v) = -1 - v**2 + 14*v - 1 + 18 - 5. Is g(r) a prime number?
True
Suppose 5*d = -15, 5*d - 669 = -2*i - 0*i. Suppose 4*s = 1514 - i. Is s a prime number?
True
Let v = -3349 - -7620. Is v a composite number?
False
Let u = 3198 - 1639. Is u a composite number?
False
Let g(p) = -6*p**3 + 3 - 11*p**2 - 9 - 5*p**3 + 10*p**3 - 5*p. Let y be g(-10). Let q = y - -423. Is q a prime number?
True
Let y(m) be the second derivative of m**4/6 + m**3/3 - 5*m**2/2 - 5*m. Is y(4) composite?
True
Let q be (4/8)/(3/12). Suppose -z - 2*z + 2599 = 5*s, 0 = 3*z - q*s - 2585. Is z a prime number?
True
Let a = -48 - -357. Let q = a - -248. Is q a composite number?
False
Let l = -28 - -6. Let c = l - -25. Suppose -288 = -c*j + 129. Is j a composite number?
False
Let k be ((-14)/6 - -2)*-3. Suppose -p + 0*p + k = 0, 16 = 5*f + p. Suppose 3*a - 54 = -2*x + 63, f*a = -4*x + 219. Is x a composite number?
True
Let h(s) = 24*s**2 - 6*s - 12. Let t be h(11). Suppose 3*a = -267 + t. Is a a prime number?
True
Is -28394*(5/(-10) - 0) composite?
False
Let y(c) = c**3 + c**2 - c + 4. Let t be y(0). Let p = -4 + t. Suppose p = 3*j + 6, 5*j - 74 = -g - 3*g. Is g composite?
True
Let s be 2*107/2*-1. Let a(c) = 8*c - 4. Let d be a(-3). Let q = d - s. Is q prime?
True
Let n = -22786 - -56445. Is n composite?
True
Suppose 0 = -2*f - 5*b + 4, 5 = -2*f + b - 3. Is (-2 - f)/(4/(-3412)*-1) prime?
True
Suppose -3*n + 8268 = 3*z, -4*n = -0*n - 3*z - 11031. Is n composite?
True
Let f = 323 + 91. Suppose -f = -2*i + 2*g, g - 649 = -3*i - 3*g. Is i a prime number?
True
Suppose 3*t = 2*i - 11 + 93, -5*i + 94 = 4*t. Suppose -4*f = -h - 8*f + t, 58 = 2*h + 5*f. Is h prime?
False
Suppose 0 = 5*c + 2*g - 28867, -c - 5*g - 28860 = -6*c. Is c prime?
False
Let c = 1415 + -422. Is c prime?
False
Let a = 265 - -298. Is a a composite number?
False
Let w(y) = -354*y + 4. Let h be w(-3). Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
58?
5
What is the hundreds digit of 2260?
2
What is the units digit of 5919?
9
What is the tens digit of 5812?
1
What is the tens digit of 761?
6
What is the hundreds digit of 5400?
4
What is the hundreds digit of 6815?
8
What is the units digit of 1654?
4
What is the units digit of 543?
3
What is the tens digit of 61907?
0
What is the units digit of 2022?
2
What is the units digit of 295?
5
What is the tens digit of 951?
5
What is the thousands digit of 8463?
8
What is the tens digit of 1198?
9
What is the tens digit of 14047?
4
What is the hundred thousands digit of 123066?
1
What is the thousands digit of 1668?
1
What is the units digit of 4503?
3
What is the hundreds digit of 3804?
8
What is the hundreds digit of 258?
2
What is the tens digit of 125186?
8
What is the hundreds digit of 3647?
6
What is the thousands digit of 118306?
8
What is the thousands digit of 4788?
4
What is the units digit of 30222?
2
What is the tens digit of 2011?
1
What is the units digit of 19025?
5
What is the units digit of 51930?
0
What is the units digit of 13656?
6
What is the thousands digit of 101006?
1
What is the units digit of 7404?
4
What is the units digit of 15148?
8
What is the tens digit of 316?
1
What is the units digit of 29376?
6
What is the ten thousands digit of 23418?
2
What is the tens digit of 2623?
2
What is the units digit of 8912?
2
What is the ten thousands digit of 38082?
3
What is the tens digit of 2823?
2
What is the tens digit of 317?
1
What is the tens digit of 2360?
6
What is the units digit of 56915?
5
What is the ten thousands digit of 66976?
6
What is the thousands digit of 1885?
1
What is the hundreds digit of 11675?
6
What is the units digit of 6817?
7
What is the units digit of 9511?
1
What is the units digit of 451?
1
What is the units digit of 10891?
1
What is the hundreds digit of 20685?
6
What is the tens digit of 20972?
7
What is the thousands digit of 26294?
6
What is the ten thousands digit of 31740?
3
What is the hundreds digit of 457?
4
What is the thousands digit of 2296?
2
What is the ten thousands digit of 37455?
3
What is the thousands digit of 6354?
6
What is the units digit of 810?
0
What is the hundreds digit of 11061?
0
What is the units digit of 76855?
5
What is the thousands digit of 63228?
3
What is the units digit of 1070?
0
What is the tens digit of 8804?
0
What is the hundreds digit of 1876?
8
What is the units digit of 15559?
9
What is the tens digit of 3267?
6
What is the ten thousands digit of 58498?
5
What is the hundred thousands digit of 104105?
1
What is the hundreds digit of 1488?
4
What is the hundreds digit of 2349?
3
What is the tens digit of 332?
3
What is the thousands digit of 5121?
5
What is the tens digit of 1325?
2
What is the tens digit of 16192?
9
What is the thousands digit of 37391?
7
What is the thousands digit of 1236?
1
What is the thousands digit of 30569?
0
What is the hundreds digit of 322?
3
What is the units digit of 8324?
4
What is the hundreds digit of 4316?
3
What is the hundreds digit of 123355?
3
What is the thousands digit of 3122?
3
What is the ten thousands digit of 104822?
0
What is the tens digit of 18284?
8
What is the thousands digit of 12224?
2
What is the ten thousands digit of 22020?
2
What is the units digit of 194?
4
What is the units digit of 3997?
7
What is the tens digit of 3883?
8
What is the units digit of 624?
4
What is the units digit of 9141?
1
What is the ten thousands digit of 87525?
8
What is the tens digit of 3757?
5
What is the thousands digit of 2028?
2
What is the units digit of 45263?
3
What is the units digit of 2678?
8
What is the tens digit of 4071?
7
What is the tens digit of 308?
0
What is the tens digit of 252?
5
What is the tens digit of 8031?
3
What is the units digit of 41609?
9
What is the hundreds digit of 8224?
2
What is the ten thousands digit of 112756?
1
What is the units digit of 966?
6
What is the ten thousands digit of 38037?
3
What is the tens digit of 3993?
9
What is the units digit of 88?
8
What is the tens digit of 13158?
5
What is the hundreds digit of 439?
4
What is the tens digit of 4575?
7
What is the units digit of 15660?
0
What is the tens digit of 2520?
2
What is the units digit of 5365?
5
What is the ten thousands digit of 47828?
4
What is the thousands digit of 2338?
2
What is the thousands digit of 35346?
5
What is the hundreds digit of 2936?
9
What is the hundreds digit of 47933?
9
What is the units digit of 172272?
2
What is the hundreds digit of 1634?
6
What is the thousands digit of 47301?
7
What is the thousands digit of 68756?
8
What is the thousands digit of 5667?
5
What is the units digit of 2793?
3
What is the ten thousands digit of 10828?
1
What is the tens digit of 659?
5
What is the units digit of 12056?
6
What is the hundreds digit of 13640?
6
What is the hundreds digit of 20483?
4
What is the units digit of 99?
9
What is the hundreds digit of 864?
8
What is the hundreds digit of 49590?
5
What is the units digit of 7146?
6
What is the tens digit of 503?
0
What is the tens digit of 1201?
0
What is the thousands digit of 1116?
1
What is the units digit of 992?
2
What is the tens digit of 28832?
3
What is the tens digit of 62009?
0
What is the hundreds digit of 167027?
0
What is the hundreds digit of 36692?
6
What is the tens digit of 86342?
4
What is the thousands digit of 5294?
5
What is the hundreds digit of 475?
4
What is the tens digit of 70?
7
What is the ten thousands digit of 71048?
7
What is the hundreds digit of 305?
3
What is the tens digit of 6300?
0
What is the tens digit of 2061?
6
What is the tens digit of 431?
3
What is the hundreds digit of 13503?
5
What is the thousands digit of 2230?
2
What is the units digit of 4838?
8
What is the thousands digit of 7152?
7
What is the tens digit of 357?
5
What is the tens digit of 1270?
7
What is the units digit of 3320?
0
What is the hundreds digit of 31234?
2
What is the hundred thousands digit of 131790?
1
What is the hundreds digit of 451?
4
What is the tens digit of 113711?
1
What is the thousands digit of 36306?
6
What is the units digit of 9673?
3
What is the tens digit of 7889?
8
What is the hundreds digit of 3046?
0
What is the units digit of 294?
4
What is the units digit of 72?
2
What is the tens digit of 4240?
4
What is the tens digit of 14337?
3
What is the units digit of 70985?
5
What is the tens digit of 3175?
7
What is the hundreds digit of 7769?
7
What is the hundreds digit of 105?
1
What is the tens digit of 26085?
8
What is the hundreds digit of 45756?
7
What is the tens digit of 1512?
1
What is the hundreds digit of 3182?
1
What is the tens digit of 8501?
0
What is the units digit of 10911?
1
What is the tens digit of 8008?
0
What is the thousands digit of 31481?
1
What is the tens digit of 527?
2
What is the tens digit of 285?
8
What is the tens digit of 240?
4
What is the thousands digit of 12215?
2
What is the hundreds digit of 10559?
5
What is the thousands digit of 96313?
6
What is the thousands digit of 64397?
4
What is the units digit of 11836?
6
What is the thousands digit of 15376?
5
What is the ten thousands digit of 10846?
1
What is the ten thousands digit of 19584?
1
What is the hundreds digit of 9698?
6
What is the units digit of 5683?
3
What is the hundreds digit of 79580?
5
What is the ten thousands digit of 27025?
2
What is the tens digit of 1451?
5
What is the units digit of 28507?
7
What is the units digit of 873?
3
What is the units digit of 1704?
4
What is the tens digit of 24206?
0
What is the tens digit of 10598?
9
What is the hundreds digit of 37122?
1
What is the units digit of 6920?
0
What is the thousands digit of 52602?
2
What is the tens digit of 9997?
9
What is the units digit of 1611?
1
What is the units digit of 16018?
8
What is the ten thousands digit of 14094?
1
What is the hundreds digit of 361?
3
What is the units digit of 52294?
4
What is the units digit of 155143?
3
What is the thousands digit of 58808?
8
What is the tens digit of 1597?
9
What is the units digit of 3174?
4
What is the thousands digit of 2344?
2
What is the tens digit of 12592?
9
What is the units digit of 7816?
6
What is the thousands digit of 20744?
0
What is the units digit of 89?
9
What is the units digit of 60618?
8
|
{
"pile_set_name": "DM Mathematics"
}
|
is the second derivative of 17385472*u**3 + 12027345*u?
104312832*u
Find the third derivative of 46*v**5 - 2*v**4 + 613212*v**3 + 448*v**2 + v + 15163 wrt v.
2760*v**2 - 48*v + 3679272
Differentiate 2*q*w**2 - 36*q*w + 279984*q + 8*w**2 - 64*w - 6246 wrt q.
2*w**2 - 36*w + 279984
Find the third derivative of 4741*j**6 + 1591*j**5 + 61*j**2 - 765*j - 193 wrt j.
568920*j**3 + 95460*j**2
Find the second derivative of -5*n**4 + 20275*n**3 + 2*n**2 - 11068767*n.
-60*n**2 + 121650*n + 4
What is the third derivative of -141676*b*j**4 + 2*b*j**2 + 3*b*j - 9*b - 94*j**4 + 31*j**2 - 109*j wrt j?
-3400224*b*j - 2256*j
Find the second derivative of 67159487*h**2*w - 142*h*w - 606*w wrt h.
134318974*w
What is the third derivative of 4977739*h**6 - 4*h**2 - 16549*h - 18?
597328680*h**3
Find the first derivative of -829348012*r**2 - 149478984.
-1658696024*r
Differentiate -299*a*g*n + 86*a*g + 16*a*n - a + 34*g*n + 4*g - 513*n + 690 with respect to g.
-299*a*n + 86*a + 34*n + 4
Find the third derivative of -12827144*p**6 - 740*p**2 - 8615*p.
-1539257280*p**3
Find the second derivative of -412*w**5 + 1940*w**4 + 2*w + 863961.
-8240*w**3 + 23280*w**2
Find the second derivative of -2*j**3*o**2 - 44602*j**3*o - 17*j**2*o - 5257*j*o**2 - 17217*j wrt j.
-12*j*o**2 - 267612*j*o - 34*o
What is the second derivative of 7533*i**3*q**3*r**2 + 215*i**3*q*r**2 - i**3*r + 6150311*i**2*q**3*r wrt r?
15066*i**3*q**3 + 430*i**3*q
Differentiate 13*d**3*p*t + 9893*d**3*t - 9*d**2*n*t - 7*d**2*t - 2*d**2 - 9464*d*n*p - 232*n*p*t with respect to p.
13*d**3*t - 9464*d*n - 232*n*t
Find the second derivative of -32*g**5 - 510638*g**4 - g**2 + 34152528*g wrt g.
-640*g**3 - 6127656*g**2 - 2
Find the first derivative of 40775696*p**3 - 739672.
122327088*p**2
What is the third derivative of 733799016*n**3 - 287531*n**2 - 214*n?
4402794096
Find the third derivative of 119*k**3*t**3 + 751*k**3*t - 49*k**3 - k**2*t**3 - 6*k*t**3 + 557*k*t**2 + 143*t**3 - 2 wrt k.
714*t**3 + 4506*t - 294
What is the third derivative of 930170769*i**4 + 725681*i**2 - 178 wrt i?
22324098456*i
What is the third derivative of 8013*w**6 + 4226*w**5 + 36415361*w**2?
961560*w**3 + 253560*w**2
What is the second derivative of -88105891*z**5 - 20154*z + 221?
-1762117820*z**3
What is the derivative of 1932*q**2 - 1243*q + 4418012 wrt q?
3864*q - 1243
Find the first derivative of -148*h*x**2 - 7*h*x - 1170252*h - 110*x**2 - 53*x + 51 wrt x.
-296*h*x - 7*h - 220*x - 53
What is the derivative of 2*z**3 - z**2 + 1504007*z + 22768673 wrt z?
6*z**2 - 2*z + 1504007
What is the first derivative of f**2 + 423850*f - 8344192 wrt f?
2*f + 423850
What is the second derivative of -3*u**2*z**4 - 31*u**2*z**2 - 56*u**2*z - 2*u**2 + 3*u*z - 708*u + 1811*z**2 + z - 1 wrt z?
-36*u**2*z**2 - 62*u**2 + 3622
What is the third derivative of -11112264*o**5 - 10652405*o**2?
-666735840*o**2
What is the first derivative of 287005*f**3 + 62*f**2*p + 150*p - 361283 wrt f?
861015*f**2 + 124*f*p
What is the third derivative of -232231743*i**3 - 73025598*i**2 wrt i?
-1393390458
Differentiate -8226559*i*m**3 + 2*i + 31*m**3 - 9090*m - 8 wrt i.
-8226559*m**3 + 2
Find the third derivative of -6092255*a**6 - 11*a**4 + 107124276*a**2 wrt a.
-731070600*a**3 - 264*a
What is the first derivative of 37927640*q**2 - 31977449?
75855280*q
Find the third derivative of -89*g**4*r - 9756*g**4 - 2*g**3 - 40*g**2*r + 10*g**2 - g*r - 5*g wrt g.
-2136*g*r - 234144*g - 12
Find the second derivative of -15094963*k**5 - 25*k - 328746.
-301899260*k**3
What is the third derivative of -72292003*g**6 - g**2 - 1728300*g - 12?
-8675040360*g**3
Differentiate -3588421*f**4 + 2*f + 2258459.
-14353684*f**3 + 2
Find the second derivative of 13020471*r**2 + 12*r - 94122.
26040942
What is the derivative of -37889749*w**3 - 87047664 wrt w?
-113669247*w**2
What is the first derivative of 418637577*k**3 - 88496276?
1255912731*k**2
Find the second derivative of 11231710*y**2 + 2*y + 19186537.
22463420
What is the third derivative of 34247116*u**3 - 2*u**2 + 5*u - 159824 wrt u?
205482696
Find the third derivative of -485934597*i**5 - 17*i**2 - 67763*i - 13.
-29156075820*i**2
What is the third derivative of -2*h**2*j**4*k - 1608664*h**2*j**3*k + 4*h**2*j*k - 531*h**2*k - 9*h**2 + h*j**2 - 3*h*k + j*k wrt j?
-48*h**2*j*k - 9651984*h**2*k
What is the third derivative of 491520739*j**3 + 17570*j**2 - 5826*j?
2949124434
What is the third derivative of -12397042*b**4 + 13*b**3 - 216670*b**2 + 709?
-297529008*b + 78
Differentiate 2*j*v - 115*j + 1575411*v**4 + 17091 with respect to v.
2*j + 6301644*v**3
Find the first derivative of -2*n**2*v**2 + 41*n**2*v*z - 110*n*v**3 - 2*n + 18610*v**3*z - 2*v**3 + 7*v wrt z.
41*n**2*v + 18610*v**3
Find the third derivative of 344*l**5 - 38*l**4 + 24*l**3 + 83243*l**2 + 10.
20640*l**2 - 912*l + 144
Find the third derivative of -1339*a**6 - 1138*a**3*f - 134*a**2*f + 2*a**2 - 28*a*f - 244*f wrt a.
-160680*a**3 - 6828*f
What is the third derivative of 535*g*n**4 - 15*g*n**2 - 2*g + 83*n**5 + 4*n**4 + 201830*n**2 wrt n?
12840*g*n + 4980*n**2 + 96*n
What is the second derivative of -j**3*l**2 - 3*j**3*l - 306720*j**2*l**2 + 2*j**2*l - 2*j**2 - 23*l**2 + 8*l + 2290 wrt l?
-2*j**3 - 613440*j**2 - 46
Find the third derivative of 88414*v**6 - 3*v**4 - 12*v**3 - 22986*v**2 + 499.
10609680*v**3 - 72*v - 72
Find the second derivative of -4*a**3*f**2*s - 10373994*a**3*f**2 + 2*a**3*f*s - 7*a**3*s + 13*a**2*f*s + 16*a**2*s - 515*f*s wrt f.
-8*a**3*s - 20747988*a**3
Find the third derivative of -73476744*l**3 + 6291868*l**2 + l.
-440860464
Differentiate 36257*v**2 - 47*v + 4707565 wrt v.
72514*v - 47
What is the third derivative of -16*o**3*p**2*y**3 - o**3*p**2*y - 1347*o**3*p**2 - 6*o**2*p*y**2 - 2*o*p**2*y + 26*o*p*y - 2230580*p**2*y**3 + p**2 wrt y?
-96*o**3*p**2 - 13383480*p**2
Find the second derivative of -1441*d*q**3 - d*q**2 - 138*d*q - 15*d + 2*q**3 - 593*q**2 - 1101*q wrt q.
-8646*d*q - 2*d + 12*q - 1186
Find the second derivative of -343*g**4 - 31798*g**2*p + 109*g*p - 8*p + 45 wrt g.
-4116*g**2 - 63596*p
Differentiate 4443627*g - 27459831.
4443627
Differentiate 4110*c**2 + 1929*c + 132267813 with respect to c.
8220*c + 1929
Find the second derivative of 1247*d**5 + 185*d**2 - 6079768*d.
24940*d**3 + 370
What is the third derivative of 2791*s**4*v**2 - 521*s**3 + 4*s**2*v - 15969*s**2 - 13*v**2 wrt s?
66984*s*v**2 - 3126
Find the third derivative of 670426429*t**3 + 562913518*t**2.
4022558574
Differentiate -217791503*p + 228826462 with respect to p.
-217791503
Find the second derivative of 54990*t**3 - 23*t**2 + 920900*t - 190.
329940*t - 46
What is the second derivative of 647994825*b**5 + 79856098*b?
12959896500*b**3
What is the second derivative of 28833*o**3 + 210*o**2 + 61142745*o?
172998*o + 420
What is the third derivative of -183091700*f**3*k**3 + f**3*k - 2*f**3 + f**2*k**2 - 2574321*f**2*k + 2*f**2 wrt k?
-1098550200*f**3
What is the derivative of -2*j**4 + 615*j**3 + 679*j**2 + 13090841?
-8*j**3 + 1845*j**2 + 1358*j
What is the second derivative of -f*h**3*t - 3*f*h*t - 3*f*t + 1598806*h**5*t + 40*h - 1016*t + 2 wrt h?
-6*f*h*t + 31976120*h**3*t
What is the second derivative of 80365272*c**2 + 74421124*c?
160730544
Find the third derivative of -521807707*o**6 + 3556702*o**2 + 37*o.
-62616924840*o**3
What is the first derivative of -465*g**3 + 668*g**2 - 65*g + 421980071 wrt g?
-1395*g**2 + 1336*g - 65
What is the third derivative of 211*b**3*p**3 - 161*b**3*p - 4*b*p**2 + 5494*p**4 + 9300*p wrt p?
1266*b**3 + 131856*p
Find the third derivative of -6145022*r**3 - 267242*r**2 - 2*r wrt r.
-36870132
What is the third derivative of 1824185*x**3 - 4731909*x**2 + x - 1 wrt x?
10945110
What is the derivative of -1254*x**4 + 1144*x**2 - 8926694?
-5016*x**3 + 2288*x
Find the second derivative of q**4 + 69421872*q**2 + 149447031*q wrt q.
12*q**2 + 138843744
Find the second derivative of -41*z**3 + 13590690*z**2 - 412265759*z.
-246*z + 27181380
What is the second derivative of -11755748*y**2 + 34294715*y wrt y?
-23511496
Find the second derivative of 92019964*w**5 + 244090075*w.
1840399280*w**3
What is the first derivative of 108*w**3 - 65380*w + 50433338 wrt w?
324*w**2 - 65380
What is the first derivative of -19*i**2*m*q - 49*i**2*m + 6763*i**2*q - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
(14/(-21))/((-7)/3 - -2). Let m be (-1)/h + (15/6 - -3). Calculate v(m).
1
Let a(x) = x**3 - 5*x**2 - 10*x + 7. Suppose 4*m = -0*j - 2*j - 2, 3*m - 5 = 5*j. Let n be (-18 - -3)/(-3) - j. Determine a(n).
-17
Let c(d) = d**2 - 5*d + 10. Let q be c(7). Let j be q/(-2)*(-5)/(-10). Let y(a) = -2*a - 7. Calculate y(j).
5
Let q(f) = -3*f**3 + 7*f**2 - 2*f - 9. Let s(n) = -16*n**3 + 36*n**2 - 11*n - 46. Let r(g) = 11*q(g) - 2*s(g). Give r(5).
-7
Let q(x) = x**3 - 11*x**2 - x + 5. Let w(y) = y**3 - 10*y**2 - 2*y + 4. Let v(i) = -5*q(i) + 6*w(i). What is v(6)?
-7
Let b(s) = -s**3 + 18*s**2 + 19*s - 8. Let g(f) = f**3 - 31*f**2 - 30*f - 45. Let j be g(32). Determine b(j).
-8
Let q(t) = t**2 - t + 1. Suppose -7*j + 8*j = 4*l + 12, -2*j = -2*l - 12. What is q(l)?
7
Let c(r) = 2769 - 2769 + r. Let q be -1*2 - -6 - -1. Give c(q).
5
Let w(v) = v - 4. Let n(q) = 3*q**2 - 10*q + 15. Let r be n(6). Suppose -4*c - 3*c + r = 0. Give w(c).
5
Let t(v) = 2*v + 12. Let m(y) = y + 8. Let x = -8 - -28. Suppose -8 + 42 = 4*c - d, -2*c + x = -2*d. Let b(a) = c*m(a) - 5*t(a). Determine b(4).
-4
Let t be ((-8)/(-22))/(65/715). Let c(x) = x**3 - x**2 - 4*x + 3. What is c(t)?
35
Let b(l) be the first derivative of -l**2/2 - 2*l - 17. Determine b(-3).
1
Let g(t) = -t**3 + 4*t - 3. Let c(b) = 3*b**3 + b**2 - 12*b + 10. Let z = 20 - 31. Let l(j) = z*g(j) - 4*c(j). Calculate l(-5).
-2
Let q(h) = -1 + 3 - 10*h - 2 + 1. Suppose -64 = 7*m - 50. Determine q(m).
21
Suppose -v + 32 = 7*v. Suppose -5*k + 4 = p - 3*k, k = v. Let b(u) = -1. Let r(g) = -3*g + 1. Let s(l) = -5*b(l) - r(l). What is s(p)?
-8
Let a(k) = 4*k - 6. Let p be a(3). Let c(s) = -2 + 7 - 6 + p*s + 0. What is c(1)?
5
Let k(s) = s - 1. Let d(n) = n**2 + 5*n - 41. Let g be d(-10). Determine k(g).
8
Suppose -5*a - 2 + 7 = 0. Let o(y) = -y**2 - y + 2. Let q be o(a). Suppose q*g = 5*g - 15. Let f(j) = j**3 - 5*j**2 + 2*j + 1. What is f(g)?
-11
Let r(g) = -g**3 + 3*g**2 + 5*g - 1. Let n = -9 + 22. Let f = n - 11. Suppose 2*b - 6 = 4*b, f = 2*v + 2*b. Give r(v).
3
Let q be ((-112)/(-7))/(-4) - -12. Let c(g) = g**3 - 10*g**2 + 16*g + 9. Determine c(q).
9
Let r(h) be the first derivative of -h**4/4 - 5*h**3/3 - 3*h**2/2 + 398. Determine r(-5).
15
Let s = 12 - 10. Let n(g) = 2*g**2 - 4*g + 2. Let d be n(s). Let y(q) = 13*q + 5*q - 16*q - 2*q**d + 1. Give y(-2).
-11
Let n(r) be the third derivative of r**5/60 - r**4/8 - r**3/6 - 137*r**2. What is n(3)?
-1
Let p(m) = 5*m**2 + 644 - 323 - 317 + m**3 + 4*m. Give p(-4).
4
Let w(d) = -d**3 + 4*d**2 - 3*d - 1. Let p(o) be the first derivative of o**4/4 - 2*o**3 + 7*o**2/2 + 7*o + 16. Let h be p(4). Determine w(h).
-1
Let g(w) = -w**3 + 3*w**2 + 5*w + 3. Let f = -19 - -19. Suppose -3*x + 19 + 29 = f. Suppose x*m - 13*m = 12. Calculate g(m).
7
Suppose 39 = 4*k + q, 3*k - 3*q - 43 = -q. Let z(n) = -3*n + 10 + 4*n - k. Determine z(-3).
-4
Let g = 1592 - 1593. Let q(k) = 9*k**3 - 2*k - 3*k**2 + 4*k**2 - 1 + k. What is q(g)?
-8
Let d(y) = 3*y - 3. Let u be d(2). Let a(s) = s + u - 2*s + 2*s. Suppose -25 + 31 = 2*x. Calculate a(x).
6
Let r be (-1 + 1)/(-3 + -1). Let z(t) = t**3 + t - 3. What is z(r)?
-3
Let p(a) = -a - 9. Let r be p(-6). Suppose -51 = 5*y - 8*y. Let s(i) = i**2 + y + 17 + 4*i - 31. What is s(r)?
0
Let g(w) = -w - 11. Suppose 0 = t + 4*t + 40. Let r be g(t). Let o(d) be the second derivative of d**3/2 + d**2 - 43*d. Give o(r).
-7
Let r(u) = u + 10 - 9 - 13*u**2 + 26*u**2 - 14*u**2. Give r(-1).
-1
Let i(z) = 5*z**2 + 6*z + 14. Let k(a) = -2*a**2 - 2*a - 5. Let g be 3*1*(-13)/(-13). Let d(f) = g*i(f) + 8*k(f). What is d(4)?
-6
Let k(r) = 5*r - 8. Let p(o) = 4*o - 7. Let y(u) = 5*k(u) - 6*p(u). Suppose -3*z = i + 2*z - 26, -5*i - 3*z + 42 = 0. Calculate y(i).
8
Let z be 42/8 - 9/(-12). Let m(k) = k**3 - 5*k**2 - 9*k + 4. Calculate m(z).
-14
Let p be 4 + (5 - (13 - 2)). Let t(j) = 2 - 4 - 6*j + 0. Calculate t(p).
10
Suppose 2*p = -p. Suppose -4*c - 2*o = -4*o - 18, 2*c + 4*o + 16 = p. Let x(q) = 2*q**2 - 2*q**2 + 5 + 2*q**c - q**2 - 7*q. Give x(4).
-7
Suppose 0 = 20*t + 28 + 52. Let j(d) = 2*d + 11. Give j(t).
3
Let q = 8 + -15. Let r(d) = 13*d**2 + 6*d - 7. Let t(c) = -30*c**2 - 13*c + 13. Let f(l) = 7*r(l) + 3*t(l). Give f(q).
18
Let w(d) = d**2 - 4. Suppose 4*l + 10 = m + 1, -2*l + 3*m - 7 = 0. Let c be -4 - 9/l - 1/2. Calculate w(c).
-4
Let a = -1788 - -1794. Let z(u) = u**3 - 6*u**2 + 6*u + 11. Let n(w) = -w - 1. Let x(q) = 4*n(q) + z(q). What is x(a)?
19
Let v(u) = -u**2 - 9*u - 5. Let p(b) = -b. Let z(q) = -3*p(q) + v(q). Give z(-4).
3
Let s(o) be the first derivative of o**5/15 + o**4/24 - 41*o**3/3 - 48. Let t(a) be the third derivative of s(a). Determine t(-2).
-15
Let b(s) = -3*s + 17. Let z = -40 + 47. Calculate b(z).
-4
Let g(f) = -29*f + 150. Let j be g(5). Let r(z) be the third derivative of -z**5/60 + z**4/4 - z**3/3 + z**2. Determine r(j).
3
Let c(x) = 2*x. Let i be c(1). Suppose -n = -4*z - i*n - 12, -3*n = -3*z - 24. Let a(m) = 3*m - 1. Give a(z).
-13
Let k be (-6)/(-4) + (-6)/4. Suppose k = x + 3 - 0. Let g(c) = c**2 - c + 3. Determine g(x).
15
Let q(u) = 8*u - 1. Let n(j) = 2 + j - 3 + 0. Let o be (-2)/3 + 119/21. Let k(r) = o*n(r) - q(r). Give k(-5).
11
Suppose 18*b - 16 = 16*b. Let u(g) = -1 - g**2 + 2*g**2 + b*g + 2. What is u(-6)?
-11
Let y(a) = -7*a**2 - 7*a + 12. Let f(p) = -9*p**2 - 8*p + 16. Let g(x) = 4*f(x) - 5*y(x). Calculate g(4).
0
Let o(l) = l**3 + l**2 - l - 1. Let f = 7 + -3. Let s(i) = -7*i**3 + 2*i**3 + 4 + 6*i**2 - 11*i**2 + 3*i. Let y(j) = f*o(j) + s(j). Give y(-2).
6
Suppose 1 = 2*k - 1. Let f(a) be the second derivative of -a**3/6 - a**2/2 - 1512*a. Calculate f(k).
-2
Let r(g) = -g**2 - 6*g + 9. Suppose -1 = 22*y + 175. What is r(y)?
-7
Let o(t) = -t**2 - 7*t - 2. Let r(c) = c**2 + 7*c + 1. Let k(s) = 3*o(s) + 4*r(s). Let y(g) = -g - 4. Let l be y(3). Calculate k(l).
-2
Let h(w) = -w**3 + 8*w**2 + 8*w + 11. Let a be h(9). Let o(t) = -37 + 35 + a*t + t**2 + t. Let g(s) = s**2 - 4*s - 3. Let i be g(5). What is o(i)?
8
Let d(h) = -5 + 24 + 2*h - 7 - 12. Calculate d(-1).
-2
Let d = 489 + -481. Let u(t) be the second derivative of t**4/12 - 4*t**3/3 - 5*t**2/2 - 5*t. Determine u(d).
-5
Let c(u) = -u - 7. Let y be ((-315)/252)/((-2)/(-8)). What is c(y)?
-2
Let y(x) = x + 7. Let j = -359 + 356. What is y(j)?
4
Let x(k) = -k**3 - 6*k**2 - 7. Let u = 496 - 501. Give x(u).
-32
Let q = 12320 - 7186. Let a(c) = q*c + 0 - 5132*c + 1. Determine a(-4).
-7
Let a(k) = 3*k**2 + 43*k + 22. Let d(i) = -i**2 - 15*i - 7. Let z(t) = 3*a(t) + 8*d(t). Suppose 0 = -2*o - 7 - 7. Calculate z(o).
-4
Let k(r) = r - 2. Let s(x) = 3*x - 7. Let g(h) = 7*k(h) - 2*s(h). Let i(q) = q. Let d(o) = 3*g(o) - 2*i(o). Give d(-6).
-6
Suppose 2*d - 219 + 53 = 0. Let s(m) = -d*m**2 + 2 - m**3 - m + 83*m**2. Calculate s(2).
-8
Let o(c) = -c**2 + c + 3. Let d(w) = 9*w**2 - 2*w - 3. Let s be d(-1). Suppose 0 = 2*m + s*m - 3*m. Determine o(m).
3
Let x(i) = 3*i - 5. Let y(k) = k - 1. Let q(j) = x(j) - 4*y(j). Let g(t) = -2. Let d(n) = -g(n) - q(n). Determine d(-2).
1
Let k(q) = -1 + 165*q**2 - q**3 - 337*q**2 + 173*q**2. Determine k(-3).
35
Let u = 20 - 18. Let o(c) = 127 - c - 118 - u*c. Give o(6).
-9
Let s(r) = 11*r + 1. Let j(h) be the first derivative of 10*h**2 + h - 19. Let g(u) = 6*j(u) - 11*s(u). Calculate g(-5).
0
Let q(l) = l**3 - 20*l**2 - 15*l - 129. Let o be q(21). Let g(z) = -z**3 + 5*z + 3. Determine g(o).
15
Let f(m) = -m**3 - 3*m**2 + 1. Let r be f(-2). Let u be r/(-2 - 3/(-3 + 0)). Let t(i) = 2*i + 2. What is t(u)?
8
Let p(l) be the third derivative of -l**6/120 + l**5/60 + l**4/24 - l**2. Suppose q - 4*i + 7 = 0, -i + 1 + 2 = q. Suppose a = 2*a + q. Calculate p(a).
1
Let g(a) = 11*a - 2. Let t(j) = 2*j - 1. Let n(v) = g(v) - 6*t(v). Calculate n(-5).
9
Let d = 2 + 1. Suppose -5*z = 27 + d. Let o(u) = -6*u**3 - 17*u**2 - 305*u + 2. Let p(r) = r**3 + 2*r**2 + 60*r. Let l(k) = -o(k) - 5*p(k). Give l(z).
4
Let v(h) be the second derivative of -1/2*h**2 + 0 - 7*h + 0*h**4 + 1/3*h**3 - 11/20*h**5. Determine v(1).
-10
Let w = -6 - -9. Let u(g) = 1 - g + 4*g**2 + 3*g**3 - 4*g**3 + w*g. Suppose 15*v - 36 = 6*v. Determine u(v).
9
Let z(i) = -8*i + 2. Let n(c) = 2*c + 21. Let p be n(-7). Let r(l) = l - 5. Let q be r(p). Give z(q).
-14
Let w(b) = b - 5. Let n(u) = -u**3 - 13*u
|
{
"pile_set_name": "DM Mathematics"
}
|
41608?
1
What is the thousands digit of 559430?
9
What is the millions digit of 14765639?
4
What is the units digit of 299891?
1
What is the hundreds digit of 1599246?
2
What is the units digit of 198151?
1
What is the thousands digit of 445693?
5
What is the hundreds digit of 16751753?
7
What is the hundred thousands digit of 383271?
3
What is the thousands digit of 98648?
8
What is the ten thousands digit of 275668?
7
What is the hundreds digit of 321059?
0
What is the thousands digit of 147857?
7
What is the thousands digit of 952408?
2
What is the millions digit of 6416685?
6
What is the hundreds digit of 1894198?
1
What is the units digit of 4193921?
1
What is the hundred thousands digit of 2240634?
2
What is the ten thousands digit of 1427661?
2
What is the thousands digit of 750724?
0
What is the thousands digit of 908547?
8
What is the units digit of 78033?
3
What is the hundred thousands digit of 3632341?
6
What is the hundreds digit of 253107?
1
What is the hundreds digit of 19327252?
2
What is the units digit of 919614?
4
What is the hundred thousands digit of 962030?
9
What is the hundreds digit of 3453017?
0
What is the hundreds digit of 24004?
0
What is the millions digit of 20134385?
0
What is the hundred thousands digit of 200806?
2
What is the thousands digit of 651113?
1
What is the tens digit of 13422972?
7
What is the hundred thousands digit of 560211?
5
What is the hundred thousands digit of 574299?
5
What is the units digit of 10983158?
8
What is the hundred thousands digit of 4263306?
2
What is the hundred thousands digit of 113783?
1
What is the ten thousands digit of 213306?
1
What is the tens digit of 2185471?
7
What is the thousands digit of 288267?
8
What is the tens digit of 521443?
4
What is the ten thousands digit of 3910939?
1
What is the tens digit of 29305?
0
What is the thousands digit of 748594?
8
What is the ten thousands digit of 17070082?
7
What is the hundred thousands digit of 1689468?
6
What is the hundreds digit of 206883?
8
What is the hundred thousands digit of 650574?
6
What is the tens digit of 58781?
8
What is the hundreds digit of 2093017?
0
What is the hundred thousands digit of 117656?
1
What is the tens digit of 12456955?
5
What is the ten millions digit of 12101634?
1
What is the thousands digit of 17590725?
0
What is the units digit of 234262?
2
What is the hundreds digit of 3264350?
3
What is the thousands digit of 38617298?
7
What is the tens digit of 28298108?
0
What is the units digit of 9485154?
4
What is the millions digit of 5811225?
5
What is the hundreds digit of 1433910?
9
What is the hundreds digit of 63867?
8
What is the tens digit of 628204?
0
What is the hundreds digit of 416040?
0
What is the hundred thousands digit of 2213408?
2
What is the tens digit of 1610184?
8
What is the tens digit of 50127?
2
What is the hundred thousands digit of 40595642?
5
What is the thousands digit of 15334?
5
What is the units digit of 972972?
2
What is the units digit of 1149966?
6
What is the hundreds digit of 374073?
0
What is the hundred thousands digit of 1613989?
6
What is the thousands digit of 216680?
6
What is the hundred thousands digit of 2736798?
7
What is the ten millions digit of 20047926?
2
What is the hundreds digit of 275423?
4
What is the ten millions digit of 17252549?
1
What is the tens digit of 651170?
7
What is the units digit of 22438?
8
What is the hundred thousands digit of 251384?
2
What is the hundreds digit of 1181058?
0
What is the hundred thousands digit of 1535595?
5
What is the units digit of 2318?
8
What is the tens digit of 202353?
5
What is the ten thousands digit of 2501567?
0
What is the thousands digit of 488606?
8
What is the thousands digit of 697295?
7
What is the tens digit of 941337?
3
What is the tens digit of 111202?
0
What is the tens digit of 433572?
7
What is the units digit of 3539092?
2
What is the thousands digit of 12400302?
0
What is the millions digit of 1965837?
1
What is the tens digit of 1932983?
8
What is the hundred thousands digit of 9625560?
6
What is the tens digit of 15673242?
4
What is the thousands digit of 10662817?
2
What is the hundred thousands digit of 101987?
1
What is the units digit of 957442?
2
What is the millions digit of 14466626?
4
What is the units digit of 3603362?
2
What is the ten thousands digit of 2073680?
7
What is the millions digit of 1366716?
1
What is the hundred thousands digit of 286325?
2
What is the hundreds digit of 2941375?
3
What is the ten millions digit of 16358430?
1
What is the tens digit of 573?
7
What is the millions digit of 13059716?
3
What is the tens digit of 483987?
8
What is the tens digit of 3677598?
9
What is the tens digit of 913013?
1
What is the tens digit of 184779?
7
What is the millions digit of 10391876?
0
What is the millions digit of 1773777?
1
What is the tens digit of 691275?
7
What is the hundreds digit of 389744?
7
What is the hundreds digit of 901423?
4
What is the thousands digit of 295126?
5
What is the hundreds digit of 12360112?
1
What is the units digit of 2442254?
4
What is the units digit of 207353?
3
What is the thousands digit of 321308?
1
What is the millions digit of 9467002?
9
What is the units digit of 447065?
5
What is the units digit of 2331711?
1
What is the tens digit of 429952?
5
What is the tens digit of 1607083?
8
What is the hundred thousands digit of 3268472?
2
What is the millions digit of 2214532?
2
What is the tens digit of 408808?
0
What is the thousands digit of 349337?
9
What is the millions digit of 6894076?
6
What is the tens digit of 373510?
1
What is the millions digit of 27643948?
7
What is the thousands digit of 910627?
0
What is the thousands digit of 15593?
5
What is the thousands digit of 818082?
8
What is the hundred thousands digit of 140219?
1
What is the millions digit of 22164936?
2
What is the units digit of 281781?
1
What is the hundred thousands digit of 760164?
7
What is the ten thousands digit of 220233?
2
What is the hundred thousands digit of 4549339?
5
What is the hundred thousands digit of 434631?
4
What is the thousands digit of 1467152?
7
What is the ten millions digit of 11387810?
1
What is the thousands digit of 20158?
0
What is the thousands digit of 20869509?
9
What is the ten thousands digit of 813105?
1
What is the hundreds digit of 1792253?
2
What is the thousands digit of 444310?
4
What is the ten thousands digit of 36612220?
1
What is the tens digit of 930877?
7
What is the ten thousands digit of 572935?
7
What is the hundred thousands digit of 1058261?
0
What is the units digit of 6444276?
6
What is the units digit of 2905699?
9
What is the tens digit of 647658?
5
What is the ten thousands digit of 314485?
1
What is the hundreds digit of 1069304?
3
What is the thousands digit of 70668?
0
What is the units digit of 6571118?
8
What is the hundred thousands digit of 447669?
4
What is the thousands digit of 174091?
4
What is the millions digit of 6862830?
6
What is the hundreds digit of 914072?
0
What is the hundreds digit of 440232?
2
What is the tens digit of 406883?
8
What is the tens digit of 769673?
7
What is the ten thousands digit of 5232835?
3
What is the tens digit of 25639214?
1
What is the millions digit of 9267518?
9
What is the units digit of 79879?
9
What is the hundred thousands digit of 2037037?
0
What is the units digit of 221441?
1
What is the thousands digit of 14542696?
2
What is the tens digit of 3497333?
3
What is the ten thousands digit of 1289848?
8
What is the ten thousands digit of 57808?
5
What is the tens digit of 3213320?
2
What is the hundreds digit of 151099?
0
What is the hundred thousands digit of 728228?
7
What is the tens digit of 908591?
9
What is the ten millions digit of 25788514?
2
What is the hundreds digit of 651218?
2
What is the thousands digit of 598645?
8
What is the hundred thousands digit of 14333183?
3
What is the units digit of 21652268?
8
What is the hundreds digit of 410087?
0
What is the units digit of 385231?
1
What is the ten thousands digit of 322901?
2
What is the ten thousands digit of 1203716?
0
What is the hundred thousands digit of 29079836?
0
What is the hundreds digit of 9760358?
3
What is the ten thousands digit of 3598611?
9
What is the hundreds di
|
{
"pile_set_name": "DM Mathematics"
}
|
aller: -109566 or -109568?
-109568
Is -607528 at most 1/5?
True
Which is smaller: -5238/101 or -51?
-5238/101
Which is greater: -1 or -3/62431?
-3/62431
Which is smaller: -0.011 or -735/2?
-735/2
Which is smaller: 8 or -656?
-656
Are 544 and 680 equal?
False
Which is smaller: -1 or -241/1655?
-1
Which is smaller: 6848 or 27389/4?
27389/4
Do 27833/246 and 114 have the same value?
False
Is 2/16735025 != -1?
True
Is -2921 != 1/278?
True
Is -3375/982 bigger than -4?
True
Which is bigger: 40/507 or 26/11?
26/11
Which is bigger: 396932 or 396941?
396941
Which is smaller: -5/3 or 933?
-5/3
Is 3/19 >= -6627?
True
Is -1 greater than or equal to 62/1041?
False
Which is smaller: -451/270 or -2?
-2
Which is smaller: -314979/2 or -157490?
-157490
Is 20360 greater than or equal to 20356?
True
Is 2/9133 less than or equal to 2?
True
Which is smaller: -157158 or -157159?
-157159
Is 1186727 at least as big as 0?
True
Are 11201 and 11203 equal?
False
Is 1 less than or equal to 36/387329?
False
Which is bigger: -70785 or -70776?
-70776
Are 96 and 127 non-equal?
True
Is -47 at least as big as -22/9?
False
Is 1/2692079 smaller than -1?
False
Which is greater: -3/4 or 81690?
81690
Do -98737 and -98738 have the same value?
False
Which is smaller: 151688 or 151685?
151685
Do 366 and -0.09 have the same value?
False
Which is smaller: 4 or 212.25?
4
Which is smaller: -7418.1 or 5?
-7418.1
Do 18151/11 and 1649 have the same value?
False
Is -2/81 not equal to 558?
True
Which is bigger: 18896/41 or 460?
18896/41
Is 146 greater than 1882/13?
True
Which is smaller: 296240 or 296246?
296240
Does -3844 = -4?
False
Is 9 at least as big as -241852?
True
Which is bigger: 1/4 or 130065?
130065
Is 13 not equal to 787/67?
True
Is 1186911 < 1186911?
False
Which is smaller: -210888 or -210882?
-210888
Which is smaller: -532/4369 or -1?
-1
Are -471 and 243/8 equal?
False
Which is greater: 0 or -358/905?
0
Which is smaller: -141744 or -141741?
-141744
Do 14/36189 and 0 have different values?
True
Do -21/14734 and 0 have the same value?
False
Is 792 at least as big as -49?
True
Are 1/62491 and -1 equal?
False
Is -0.4 < 118562/3?
True
Which is bigger: 278 or 282?
282
Which is smaller: -7/11876 or -1/2?
-1/2
Which is smaller: -280048 or -1400238/5?
-280048
Which is bigger: -131950 or -131951?
-131950
Which is bigger: 22347 or 22346?
22347
Is -154916 smaller than -154917?
False
Which is smaller: 27924/11 or -6?
-6
Which is greater: -42578 or 2?
2
Which is bigger: -701 or -1014?
-701
Is 128894 less than 0.05?
False
Which is smaller: -0.082 or 6/7087?
-0.082
Is 18708 at most as big as 18707?
False
Is 170282 greater than 170286?
False
Which is greater: -1 or -6/27935?
-6/27935
Are -1.92 and 662 unequal?
True
Which is greater: -2500 or -3986?
-2500
Is 2/1133001 <= -1?
False
Is 6 at least 3.123?
True
Which is smaller: 8/7 or 602337?
8/7
Which is smaller: -5259 or -5256?
-5259
Is -3/289 <= -9?
False
Which is smaller: -334871 or -334867?
-334871
Is -102687 <= -0.1?
True
Which is smaller: -1306 or -1595?
-1595
Is -607 at least as big as -475?
False
Which is bigger: 6402 or 19202/3?
6402
Is 128/71 > 2?
False
Do 1 and -60132 have the same value?
False
Which is smaller: 147254 or 147253?
147253
Is 830 greater than 1/918?
True
Which is bigger: 130149 or 130148?
130149
Which is smaller: 0.086 or -2/669?
-2/669
Is 31407 at most as big as 31404?
False
Which is bigger: 350 or 590?
590
Does 5/78273 = 1?
False
Which is smaller: 3 or -6297.89?
-6297.89
Which is bigger: 0.1 or 8584.1?
8584.1
Is 0 >= -5/484373?
True
Which is smaller: 14 or 9227?
14
Which is greater: -46844 or -46843?
-46843
Do -0.4 and -9919.03 have the same value?
False
Which is smaller: 0 or 5/1113513?
0
Which is smaller: -18 or -761.24?
-761.24
Which is smaller: -6/121 or -35?
-35
Are 56644 and 56660 nonequal?
True
Which is smaller: -7347/979 or -7?
-7347/979
Are 1 and -1/146 non-equal?
True
Which is greater: -2/8644045 or -1?
-2/8644045
Is -11220 > 27?
False
Is -2186 not equal to -2160?
True
Is 9/31783 >= 0?
True
Is 0.1 <= -149552?
False
Which is bigger: -3972/259 or -16?
-3972/259
Is -464877 != 12?
True
Is -249816 less than -249816?
False
Is 9/107098 less than 1?
True
Is 60887 >= 60887?
True
Is -19632 at least -19664?
True
Which is smaller: 14185 or 14203?
14185
Which is smaller: 32 or 14310/437?
32
Which is smaller: -46136 or -46134?
-46136
Are -435 and 28.11 equal?
False
Is 1 less than 19/3?
True
Which is smaller: 247.4 or -0.37?
-0.37
Is -1 at least -2/39723?
False
Is -54 at most as big as -11355/206?
False
Is -2 bigger than -7843?
True
Is -374 not equal to -321?
True
Which is smaller: 1822 or -1.152?
-1.152
Is -2/7 at most -4035/59?
False
Which is smaller: -0.818216 or 0.1?
-0.818216
Is 305/64 greater than or equal to 18?
False
Do -781/31 and -24 have the same value?
False
Is -27326 greater than -27345?
True
Which is smaller: -5391 or -32353/6?
-32353/6
Is -2/6454387 less than or equal to -1?
False
Is 6050 less than 6052?
True
Which is smaller: -142/39 or -4?
-4
Which is greater: -38298 or -38299?
-38298
Which is smaller: -33271/15 or -2218?
-33271/15
Is -29 less than -9951?
False
Is 417 greater than 250?
True
Is 269744 <= 269746?
True
Which is smaller: -8 or -933/143?
-8
Which is bigger: -65183 or -65184?
-65183
Which is smaller: -1 or -19/61423?
-1
Is 7296882 < 7296883?
True
Is -1.18 greater than 3.1608?
False
Which is greater: -138 or -7644/55?
-138
Which is smaller: -7454 or -7457?
-7457
Which is smaller: 1150/43 or 26?
26
Is 78392 greater than or equal to 78409?
False
Is 63350 bigger than 63403?
False
Which is smaller: 0 or 2/501797?
0
Is 63 != 54658?
True
Is 23382 > 23382?
False
Which is bigger: 0 or -7/94172?
0
Which is smaller: -48351 or -48352?
-48352
Do 803/2 and 11 have the same value?
False
Are -860/21 and -2/7 equal?
False
Is -787809 equal to -787808?
False
Is -44774 <= -44773?
True
Which is bigger: 491917 or 491912?
491917
Which is smaller: -2/3 or 0.5154?
-2/3
Which is smaller: 19838 or 138861/7?
138861/7
Is 2/303749 != -1?
True
Is -139739 less than or equal to -139737?
True
Is 52/90525 at least as big as 0?
True
Which is smaller: 27/2033 or 1?
27/2033
Which is bigger: 16929 or 16941?
16941
Which is greater: -0.31 or 8.066?
8.066
Which is bigger: -63583 or -3?
-3
Which is smaller: -154/1861 or 1?
-154/1861
Which is bigger: -1 or 0.27552?
0.27552
Is -145 less than -12031/4?
False
Which is bigger: 29/5593 or -1?
29/5593
Which is bigger: 15039/5 or 3007?
15039/5
Is 16921 > 16927?
False
Which is smaller: -2/856535 or 0?
-2/856535
Which is greater: -411 or -30096/73?
-411
Is -136588 > -273173/2?
False
Are -65 and -1/220 unequal?
True
Is 16/9675 smaller than 0?
False
Are -0.4868 and 19/3 unequal?
True
Is 7/6 equal to -15/19?
False
Which is smaller: -1 or 41/2744?
-1
Is -961820 != 5?
True
Is 136319 less than 136314?
False
Which is greater: 7/59956 or 1?
1
Is -0.3 at least as big as 45094?
False
Is -1/356798 > -3?
True
Which is bigger: 109649 or 109651?
109651
Which is bigger: -42672 or -42673?
-42672
Which is bigger: -1 or -3270/1391?
-1
Is -14067 at most -13919?
True
Is 140380 less than or equal to 140381?
True
Is -5390 bigger than -22.6?
False
Is -602 < -519?
True
Is -154766 bigger than -154757?
False
Is 1 at least 136/10307?
True
Is -13892/225 greater than -61?
False
Is 0 < -64/46487?
False
Is 4716 equal to 4990?
False
Is 28 bigger than 1358/51?
True
Does 6 = 8.96?
False
Which is smaller: -1/33413 or 1/8?
-1/33413
Which is greater: 83/3 or -3/259?
83/3
Which is greater: -83/60056 or 1?
1
Which is smaller: -41 or -4.96?
-41
Is 2698 greater than or equal to 24?
True
Is 101997 greater than 102000?
False
Do -19/15999 and 0 have the same value?
False
Which is smaller: 6 or 368?
6
Is 21797 at most 108992/5?
True
Is -2211 <= -2222?
False
Is 14 >= 3314/263?
True
Is 515 at most as big as 42?
False
Is -1/350692 != 0?
True
Which is greater: 7/2 or 41836?
41836
Is 92430 at least 92432?
False
Is 0 greater than or equal to 0.116?
False
Do 331/6477 and -2/9 have the same value?
False
Which is smaller: -696 or -449?
-696
Which is smaller: 332437 or 332436?
332436
Is 8614/3 less than or equal to 2872?
True
Do 2618 and 2649 have the same value?
False
Is -0.01215155 <= 1?
True
Are -3242408 and -3242407 nonequal?
True
Is 2647/7 > 379?
Fal
|
{
"pile_set_name": "DM Mathematics"
}
|
is 0.15 take away 0.00413?
0.14587
Work out -1274.84 - -0.3.
-1274.54
181840 - 12
181828
Calculate 15102 + 4.
15106
Put together 2181 and 0.0114.
2181.0114
What is the distance between 10054 and -31?
10085
Subtract -2020 from 2.
2022
What is the distance between 4345996 and 0.5?
4345995.5
0.5 - 50.87
-50.37
Work out -0.9 - 192.
-192.9
Add -1692 and -1138.
-2830
Calculate 3713545 + -0.1.
3713544.9
0.176+-778
-777.824
What is 0.26 minus 1983?
-1982.74
What is -8 less than 0.29?
8.29
What is -138.5 plus 5?
-133.5
Sum 59 and 7040.9.
7099.9
What is -0.41 minus 133?
-133.41
Add -216 and -415.1.
-631.1
What is the distance between 0.1484 and -0.02?
0.1684
671 + 0.67
671.67
What is -0.07 plus 3.437?
3.367
Work out -3 + -4247.8.
-4250.8
What is -84.19 - -2?
-82.19
Total of 0.4 and 536.
536.4
-6 - -293606
293600
Put together -0.19 and 5.7248.
5.5348
What is the difference between -0.4 and -476?
475.6
Put together -929.158 and -0.7.
-929.858
What is -38695 - 3?
-38698
Calculate -3 + 1.04.
-1.96
What is -39800 less than 0.4?
39800.4
Calculate 57 - 0.
57
Subtract -0.2 from 569058.
569058.2
Calculate -1.6573 - -0.05.
-1.6073
Put together 5 and 0.834.
5.834
What is -33174 minus -2?
-33172
0.4 + -246
-245.6
What is -7033 take away 0.3?
-7033.3
-188+0.02892
-187.97108
What is 22 minus -1047.09?
1069.09
Calculate 8 + 689.
697
Calculate 76 - -9.483.
85.483
Work out 0.05 + 0.8762.
0.9262
Add together -5 and 2307.
2302
What is 4 + 1647.33?
1651.33
What is -17.3 minus -40?
22.7
Calculate -6.823 - 0.5.
-7.323
What is -1.026 - -456?
454.974
-4559 - -2
-4557
What is -5 plus -238311?
-238316
Subtract 0.0777 from -0.5.
-0.5777
What is -0.5 - -4157?
4156.5
Sum 6.9 and -1740.
-1733.1
Work out 3 - -0.10503.
3.10503
What is 0.056 take away 0.45?
-0.394
Add 399 and -0.1.
398.9
What is -1677 minus -393?
-1284
What is the difference between -0.01 and 6.44?
6.45
-136233 + 112
-136121
What is -4.5 + 433?
428.5
What is 713246 take away 5?
713241
Put together 5 and -0.35.
4.65
What is 1864659 less than -4?
-1864663
What is -214 plus -11.52?
-225.52
What is -0.0597 take away -6?
5.9403
-0.71+0.0266
-0.6834
-0.04 + -0.01
-0.05
Add together 75 and -338.2.
-263.2
-0.538+-25.7
-26.238
Work out 0 - -4008.
4008
Add together 0.0045 and -8.
-7.9955
Work out 4 - -779.
783
Calculate -117.1 + -0.07.
-117.17
Calculate -2 - 2.5957.
-4.5957
What is the distance between -0.4 and -3009278?
3009277.6
Work out 0.3 - -584550.
584550.3
What is 0.8 plus -21306?
-21305.2
Put together 0.2 and 166.
166.2
What is the difference between 310.5 and 2?
308.5
Calculate -0.1149 - 15.6.
-15.7149
What is 0.0489 minus -0.638?
0.6869
-0.1 - 578
-578.1
What is -2554.8 take away -0.6?
-2554.2
Calculate -360 - 440.
-800
Sum 7 and -0.06033.
6.93967
Work out 0.16 + -0.39727.
-0.23727
What is the difference between -0.182 and 4?
4.182
Sum -10 and -0.633107.
-10.633107
What is 0.408 less than -38.2?
-38.608
Calculate -0.5 - -589.
588.5
What is the difference between 0.895 and 11?
10.105
What is 306 minus 888?
-582
What is -212 + -38?
-250
What is the distance between 2 and -0.0315?
2.0315
What is -0.167 - 13481?
-13481.167
Sum 0.8364 and -0.1.
0.7364
Add -0.11 and -846.66.
-846.77
Sum 300 and -54.
246
Work out -7456 - 0.1.
-7456.1
What is -2530 plus 0?
-2530
0.3 + -8332
-8331.7
Add -277 and -1.9.
-278.9
Subtract 0.08 from -9.677.
-9.757
Work out 0.005 - 119.37.
-119.365
-0.3 + 680
679.7
What is 9 + -47687?
-47678
0.16 - 0.4585
-0.2985
Total of -1.4 and 0.2579.
-1.1421
What is 48539 minus -13?
48552
0.1 - 7554
-7553.9
Calculate -38642 + 0.
-38642
What is 0.4 less than -6.59?
-6.99
Work out -1.9 - 640.
-641.9
Put together -0.26 and -22.
-22.26
Add 0.3 and 8.1.
8.4
Calculate -27 - 93.496.
-120.496
What is 126.8 - -0.04?
126.84
0 - -0.184
0.184
-0.0794 - -13
12.9206
Calculate 3.7 - -0.112.
3.812
Total of 175 and 1402.
1577
Put together -0.3801236 and -3.
-3.3801236
Work out 10.05 - -11.
21.05
What is -0.5 less than -1.747?
-1.247
Put together -4 and -143730.
-143734
Total of 0.18 and 6937.
6937.18
What is 138151.6 take away -2?
138153.6
Total of -14.63 and -2252.
-2266.63
Work out -1.369 - -0.2.
-1.169
Work out -1684 + -66.
-1750
Add together -0.4 and 1280.
1279.6
Calculate -230802 + 0.
-230802
What is -118.73 less than 1.1?
119.83
Sum 0.5 and 196.
196.5
Sum -15.838 and -5.
-20.838
Total of 0.3 and 19943.
19943.3
Subtract 151.6 from 23.
-128.6
What is 15305 less than -0.01?
-15305.01
Subtract -1 from -341.
-340
Add together -0.547 and -18.82.
-19.367
Work out 327.6 - 1.2.
326.4
What is 35 minus 159?
-124
-82+8995
8913
Sum -0.06 and 0.06662.
0.00662
What is the distance between -513360 and -0.1?
513359.9
What is 2.23 take away -5907?
5909.23
What is 0.22 less than 0.0292?
-0.1908
Calculate 0 - 506.
-506
What is 146.4 - 392?
-245.6
Total of -0.2382 and -87.
-87.2382
What is -1.8 minus 8.57?
-10.37
Subtract 17885 from -0.2.
-17885.2
What is -17.9 minus 0.001?
-17.901
Add together 18.227657 and 3.
21.227657
Subtract 307864 from -5.
-307869
What is -2.3 less than 156712?
156714.3
Add together 0.5 and -0.1451.
0.3549
What is -3 - 0.9247?
-3.9247
Add -5 and 486.
481
What is the distance between 10648 and -254?
10902
What is 6.629 - 0.08?
6.549
What is -136 plus -0.06?
-136.06
2.088+0.2854
2.3734
Total of -0.0611 and 124.
123.9389
Calculate 90 - 2529.1.
-2439.1
-0.03 - 0.00708
-0.03708
0.02388 - 0.122
-0.09812
-5 + -1242
-1247
What is -0.1 plus 5141?
5140.9
Add together 58.1859 and 3.
61.1859
0 - -2.13471
2.13471
Sum 0.34 and 565.
565.34
Add together -1757807 and -0.5.
-1757807.5
-7.971 - -1.069
-6.902
929 + 0.69
929.69
0.4 - -24.849
25.249
Add together 139 and -6.4302.
132.5698
Put together 3.723 and -4.
-0.277
What is -186 - -1.7?
-184.3
What is the difference between 750 and -10?
760
What is -0.099 less than -5.9?
-5.801
What is 5 + 3384?
3389
What is the distance between 4 and 0.1559?
3.8441
Add together -37 and 0.4.
-36.6
-2939.6 - -9
-2930.6
Put together -0.1 and -3.1556.
-3.2556
What is -372 - 1.1?
-373.1
What is the difference between 319.154 and 0?
319.154
What is 4 take away 8.255?
-4.255
What is 0.6 plus -23928?
-23927.4
What is -0.02 minus -301?
300.98
What is -278855 plus 0.1?
-278854.9
Sum -1 and 1219.
1218
What is 6 minus 3.638?
2.362
Calculate 17 + 78736.8.
78753.8
What is the difference between -1.14 and 6.86?
8
-0.15786 + 0.155
-0.00286
Total of -6 and -344.04.
-350.04
What is 0.17 less than 0.0398?
-0.1302
What is 0.4 + -289.5?
-289.1
Put together -0.1 and 0.71.
0.61
What is the difference between 0.14 and 133.6?
133.46
-0.51 + 128
127.49
Put together 2042 and -0.1396.
2041.8604
1.4+4366.94
4368.34
What is 15.2 - -0.0284?
15.2284
Work out 2582 - 0.1.
2581.9
What is the distance between -27182 and 0.2?
27182.2
Total of 1570192 and -0.4.
1570191.6
What is -0.3 + -6.566?
-6.866
What is 606 minus -0.094?
606.094
Put together 41419 and -2.
41417
What is -11 take away -0.78?
-10.22
What is -438 less than 0.043?
438.043
15.9 + -0.2
15.7
What is 3 + 0.0051?
3.0051
35+0.1756
35.1756
Sum -1 and -340.
-341
What is 271911 less than -2?
-271913
What is -1 plus 0.015?
-0.985
What is -0.4153 + 13?
12.5847
Work out 7 + 7.46.
14.46
Calculate 0.77 + 3286.
3286.77
Add together -633 and -0.5.
-633.5
What is the distance between -88 and -0.6?
87.4
435 - -5
440
Add -11011 and 18.
-10993
What is -0.5 less than -282520?
-282519.5
Sum 13 and -26.406.
-13.406
Work out 1507580 + -1.
1507579
Work out -0.1 - 9051.
-9051.1
Sum -54 and 136.9.
82.9
What is 0.532 take away -2555?
2555.532
Calculate -7325 - 0.028.
-7325.028
5 + -7405
-7400
Calculate -16662 - -6.
-16656
What is 4668 take away -4?
4672
Calculate 110343 + 4.
110347
What is 0.4 minus 149802?
-149801.6
Total of 26 and 0.005.
26.005
Total of -0.08682 and 3.
2.91318
What is the difference between 4759 and 0.035?
4758.965
Work out -366668 - -20.
-366648
Add together 6.202 and 0.18.
6.382
What is 0.03 take away -0.89?
0.92
Work out 5 - 0.133.
4.867
Subtract 0.042 from -71.228.
-71.27
Calculate 1.279 - 0.
1.279
-317+-3
-320
Calculate -28 - -283860.
283832
What is the difference between 46925 and 0.5?
46924.5
Work out -0.002239 - -4.
3.997761
Add together -5 and -1561537.
-1561542
Add -18812 and 0.06.
-18811.94
4 - -0.2548
4.2548
What is the distance between -2416 and 11?
2427
What is 2 p
|
{
"pile_set_name": "DM Mathematics"
}
|
t value? (a) -0.3 (b) 5 (c) -1/4 (d) 0.3
c
What is the smallest value in -0.4, 1/37, 8?
-0.4
What is the smallest value in -0.5, 3, -45, -5, 0.19?
-45
Which is the second biggest value? (a) 5/4 (b) 15 (c) -12 (d) 0.01 (e) -0.3
a
What is the second smallest value in 1, -2/3, -14, -3/2, -3?
-3
What is the third biggest value in -0.7, -2/21, 3/2?
-0.7
What is the smallest value in 3, 0, 23, 0.06, 4?
0
What is the third biggest value in 0, -1/6, 5, 51?
0
What is the fourth biggest value in 5, 1/5, 1/4, -1, -48?
-1
What is the third biggest value in 1.3, 1/4, 0.2, -0.06?
0.2
Which is the third smallest value? (a) 2 (b) -2 (c) 127 (d) 5
d
What is the second smallest value in 0.1, -2, -5/3, 1/2?
-5/3
What is the fourth biggest value in -6, -1, -1/5, 64?
-6
What is the second biggest value in -229, -3, -2, -1?
-2
Which is the third smallest value? (a) 2/3 (b) -1.75 (c) -4 (d) 2/45
d
What is the smallest value in -0.06, -2/53, -0.2, -1/2?
-1/2
Which is the fourth smallest value? (a) -1 (b) 0.044 (c) -8 (d) -0.2
b
What is the third smallest value in 2, -0.241, 0.4, 0.5, -0.2?
0.4
Which is the third smallest value? (a) 4 (b) -8 (c) -5
a
What is the fourth biggest value in -0.3, -1, 12/7, -0.5, 2/9?
-0.5
What is the fourth biggest value in -0.05, 4, 17/5, 0.4?
-0.05
What is the fourth biggest value in -1, 2, 2/5, 64?
-1
Which is the second biggest value? (a) 151 (b) 0.2 (c) 0.1 (d) -1
b
What is the second smallest value in 1/2, -4, 0.032?
0.032
What is the smallest value in -1/6, 0.4, -2/5, -8, 4?
-8
What is the biggest value in -10, 0.09, -3, 2?
2
Which is the fourth biggest value? (a) -2/21 (b) -13/6 (c) 0.1 (d) 2 (e) 2/3
a
What is the second smallest value in -4, -0.4, -40?
-4
Which is the biggest value? (a) 0.1077 (b) -0.04 (c) 5
c
What is the third smallest value in -19/4, -4, 0, 12?
0
Which is the second smallest value? (a) 5 (b) 0 (c) -6 (d) 0.5
b
What is the fourth biggest value in -9, -3, 0.1, -34, -0.5?
-9
Which is the third smallest value? (a) -1/5 (b) 2/3 (c) -0.07
b
What is the smallest value in -352, -2, -0.1, -9?
-352
Which is the third biggest value? (a) 2 (b) 10 (c) 1/4 (d) 0.02
c
What is the second smallest value in -0.7, 3, -2/3, -10?
-0.7
What is the third smallest value in -0.1, -5, -10?
-0.1
Which is the biggest value? (a) 2 (b) 1/10 (c) -11/6
a
Which is the second biggest value? (a) -0.1 (b) -1 (c) -0.04 (d) -1056 (e) 5
c
Which is the third biggest value? (a) -0.14 (b) 1.7 (c) 2/9
a
Which is the third smallest value? (a) 0.05 (b) 2/11 (c) 3
c
What is the smallest value in 0, 0.028, 10?
0
Which is the fourth smallest value? (a) 5 (b) -1/4 (c) 0.4 (d) -2/5 (e) -42
c
Which is the second biggest value? (a) -3 (b) -5 (c) 0 (d) -12
a
What is the second smallest value in 0, -0.14, -1/2?
-0.14
Which is the smallest value? (a) -0.3 (b) 0.4 (c) 3.7
a
Which is the biggest value? (a) -1/8 (b) -5 (c) 1/3 (d) 87
d
What is the third smallest value in -2, -0.2, 4, -1, -91?
-1
What is the second biggest value in -0.1, 1.1, 6?
1.1
Which is the second smallest value? (a) -1 (b) -4 (c) 23 (d) 1/2
a
What is the biggest value in 2/9, -4.3, -64?
2/9
What is the third smallest value in 2/735, -0.4, 5?
5
What is the biggest value in -7, -0.3, -1/2, 0.2, -4?
0.2
What is the fourth smallest value in 18.6, -3/8, -2/7, -0.5?
18.6
What is the fourth biggest value in 0.2, 28, 2/9, 11/4?
0.2
Which is the third biggest value? (a) 1/64 (b) -2 (c) 1
b
Which is the second biggest value? (a) -3 (b) -56 (c) 3/4
a
Which is the fourth smallest value? (a) -22 (b) -1/69 (c) -5 (d) -4
b
What is the third smallest value in -2/7, -1/2, -9, -1?
-1/2
Which is the smallest value? (a) 0.1 (b) 0.3 (c) 24
a
Which is the smallest value? (a) -2 (b) -4 (c) 7 (d) 3
b
What is the biggest value in -1, -471, -5/4?
-1
Which is the biggest value? (a) 61 (b) 0 (c) -1/2 (d) 0.3
a
Which is the fourth smallest value? (a) 0 (b) 0.2 (c) -0.2 (d) 2.5
d
Which is the second biggest value? (a) 2.1 (b) -0.04 (c) -5 (d) -1
b
What is the second smallest value in 0.05, -3, -8?
-3
Which is the second biggest value? (a) 4/5 (b) -6 (c) -4 (d) 0.033
d
Which is the biggest value? (a) 4 (b) 1/5 (c) 2697
c
What is the fifth biggest value in 0.5, -2, 75, 2, 1?
-2
Which is the second smallest value? (a) -13 (b) -4 (c) -6
c
Which is the biggest value? (a) 0.03 (b) -1/3 (c) 2/17 (d) 1/9
c
What is the smallest value in 0.2, -3/23, 60/13?
-3/23
What is the second biggest value in -2/3, -291, 3/2?
-2/3
Which is the fourth smallest value? (a) -2/29 (b) 5 (c) 3/5 (d) -7 (e) -1
c
What is the third smallest value in 6, -5/6, -1/4?
6
Which is the smallest value? (a) -2/11 (b) -2 (c) 0.01
b
Which is the third smallest value? (a) 1/11 (b) 0 (c) -3/2 (d) 1.6
a
What is the second biggest value in -2/629, -0.3, -1?
-0.3
Which is the third smallest value? (a) 3/4 (b) -0.05 (c) 0
a
Which is the fourth smallest value? (a) -0.5 (b) -5 (c) 234 (d) 0
c
Which is the second smallest value? (a) 445 (b) 0.3 (c) 0.4
c
What is the second smallest value in -2/9, 1/4, -7/6, -1?
-1
What is the second smallest value in -0.7, 40, 0.2?
0.2
Which is the second biggest value? (a) -10/29 (b) 1.5 (c) 2
b
Which is the third smallest value? (a) -5 (b) 2 (c) 3/536
b
Which is the third biggest value? (a) 1/30 (b) -1/2 (c) -17 (d) 5
b
What is the second smallest value in 0.15, 1/6, -4/7, -1?
-4/7
What is the third smallest value in 2, -61, 11/5, 4?
11/5
What is the biggest value in 1, -5, -3, 1.5?
1.5
Which is the biggest value? (a) 1 (b) -1/5 (c) -9 (d) -0.3
a
What is the third biggest value in -4, -231/5, 0.2?
-231/5
What is the third biggest value in 4, -3/88, 2/13, 1/4, 0?
2/13
What is the fourth smallest value in 3/8, 2/5, -13, -1/8, -1?
3/8
Which is the smallest value? (a) -51 (b) -2/7 (c) -0.1
a
What is the second smallest value in 3, 0.1, -2/187?
0.1
What is the smallest value in 0.035, 0.2, 0.12?
0.035
What is the biggest value in 4, 0.5, 2/67, -2/3?
4
Which is the second biggest value? (a) 0 (b) -0.08 (c) -3
b
Which is the smallest value? (a) 4 (b) 35 (c) 1 (d) -9
d
What is the second biggest value in -4, 5, -0.2, -1/2?
-0.2
What is the third biggest value in 2/7, -5, 5?
-5
What is the fourth smallest value in -0.4, -4/3, -3, -82?
-0.4
Which is the third biggest value? (a) -1.4 (b) -1 (c) 1/3 (d) -6
a
What is the biggest value in -3, -16/5, 0, 1/4?
1/4
Which is the fourth biggest value? (a) -2757 (b) -1/9 (c) -1/6 (d) 2
a
Which is the third biggest value? (a) 701 (b) 0.5 (c) 0.1 (d) -4
c
What is the third biggest value in 0, -1/2, -1/151?
-1/2
What is the smallest value in -2, 0.1, 3/35, -2.6?
-2.6
What is the third biggest value in 1, -43, 4?
-43
What is the second smallest value in -0.26, 2/17, 2/3?
2/17
Which is the smallest value? (a) 5 (b) 3 (c) 55
b
What is the second biggest value in 0, 4, 2/7?
2/7
Which is the second smallest value? (a) -0.2 (b) -0.26 (c) -30
b
Which is the second smallest value? (a) 0.5 (b) 20 (c) 0.4 (d) -0.2 (e) 11
c
What is the second smallest value in 0.4, -27/10, 12?
0.4
What is the third smallest value in -3/4, -1, -5, -76/7?
-1
Which is the second smallest value? (a) 0.3 (b) 3 (c) -41
a
Which is the smallest value? (a) 1.4 (b) 3 (c) 1
c
Which is the biggest value? (a) -3 (b) -2/3 (c) -92/19
b
What is the second biggest value in -1/4, 5, 3/950?
3/950
Which is the biggest value? (a) 3 (b) -0.3 (c) -5 (d) 0.22
a
What is the third smallest value in -4, -1/8, -0.2, 2, 15/4?
-1/8
Which is the fourth biggest value? (a) 0 (b) 1 (c) 64 (d) 25
a
Which is the third smallest value? (a) -67 (b) -8 (c) 0.4 (d) -5
d
Which is the third smallest value? (a) 7.5 (b) 2/11 (c) -5/3 (d) 0.2 (e) -0.2
b
What is the fourth smallest value in 66, -5, 0, 1?
66
Which is the third biggest value? (a) -0.4 (b) -7 (c) 6 (d) -3/7
d
Which is the fourth biggest value? (a) -12/5 (b) -2/9 (c) -1 (d) 4
a
What is the third smallest value in -0.0692, -5, 2/11, 1?
2/11
What is the biggest value in 2/15, 1/7, 0, -177/2, -0.1?
1/7
What is the second biggest value in 0, -1/3, -0.1, 229?
0
What is the third biggest value in 2/9, -
|
{
"pile_set_name": "DM Mathematics"
}
|
when 19751782 is divided by 3845.
17
What is the remainder when 764460 is divided by 8588?
128
What is the remainder when 1217329 is divided by 1213673?
3656
Calculate the remainder when 41245740 is divided by 1282.
1236
Calculate the remainder when 30478987 is divided by 32.
11
What is the remainder when 31310 is divided by 31216?
94
Calculate the remainder when 185627 is divided by 2943.
218
Calculate the remainder when 30019 is divided by 182.
171
Calculate the remainder when 15681402 is divided by 5462.
0
What is the remainder when 243305 is divided by 839?
834
Calculate the remainder when 4699555 is divided by 4801.
4177
Calculate the remainder when 256462 is divided by 885.
697
Calculate the remainder when 49428351 is divided by 12357066.
87
What is the remainder when 2604028 is divided by 1024?
1020
Calculate the remainder when 44470 is divided by 1805.
1150
What is the remainder when 14238918 is divided by 1348?
1342
What is the remainder when 1124354 is divided by 4059?
11
Calculate the remainder when 17928315 is divided by 1629845.
20
What is the remainder when 672751 is divided by 671812?
939
What is the remainder when 77496 is divided by 9386?
2408
What is the remainder when 272142 is divided by 186?
24
Calculate the remainder when 11466 is divided by 233.
49
What is the remainder when 4326207 is divided by 304?
287
What is the remainder when 10854304 is divided by 3?
1
Calculate the remainder when 152733 is divided by 10013.
2538
What is the remainder when 158219 is divided by 11192?
1531
What is the remainder when 2294189 is divided by 12816?
125
What is the remainder when 33044597 is divided by 58486?
7
What is the remainder when 11373609 is divided by 12526?
1
Calculate the remainder when 130280 is divided by 33.
29
Calculate the remainder when 573442 is divided by 15.
7
Calculate the remainder when 997578 is divided by 51.
18
What is the remainder when 312058 is divided by 4879?
4681
What is the remainder when 50832683 is divided by 42933?
11
Calculate the remainder when 25366151 is divided by 90.
11
Calculate the remainder when 36150 is divided by 11185.
2595
What is the remainder when 321779 is divided by 592?
323
Calculate the remainder when 305591 is divided by 9250.
341
What is the remainder when 152414 is divided by 30471?
59
What is the remainder when 92858072 is divided by 231?
230
What is the remainder when 2359721 is divided by 15?
11
Calculate the remainder when 101014 is divided by 15822.
6082
What is the remainder when 2352066 is divided by 70?
66
What is the remainder when 21069705 is divided by 3252?
3249
Calculate the remainder when 221711081 is divided by 241.
239
What is the remainder when 37262021 is divided by 3105160?
101
Calculate the remainder when 398980 is divided by 386.
242
Calculate the remainder when 843775 is divided by 93746.
61
What is the remainder when 37412273 is divided by 5144?
5105
What is the remainder when 2075396 is divided by 8107?
4
Calculate the remainder when 28505849 is divided by 3167316.
5
What is the remainder when 6338647 is divided by 3920?
7
Calculate the remainder when 2444625 is divided by 967.
49
Calculate the remainder when 1607574 is divided by 3.
0
What is the remainder when 9388639 is divided by 197?
13
What is the remainder when 1828431 is divided by 3073?
3069
Calculate the remainder when 25534 is divided by 1438.
1088
What is the remainder when 1595389 is divided by 2222?
2215
What is the remainder when 98759192 is divided by 108?
104
Calculate the remainder when 51186 is divided by 183.
129
Calculate the remainder when 17659437 is divided by 1246.
1125
Calculate the remainder when 16757518 is divided by 540565.
3
Calculate the remainder when 49015891 is divided by 1292.
1287
Calculate the remainder when 391528771 is divided by 9.
7
Calculate the remainder when 1536438 is divided by 2729.
11
What is the remainder when 17693 is divided by 41?
22
Calculate the remainder when 158234360 is divided by 36.
32
What is the remainder when 35146 is divided by 8706?
322
Calculate the remainder when 5394085 is divided by 91422.
187
Calculate the remainder when 222292 is divided by 110770.
752
What is the remainder when 79423704 is divided by 2989?
2985
What is the remainder when 23452636 is divided by 47765?
21
What is the remainder when 690721 is divided by 1935?
1861
What is the remainder when 9097520 is divided by 28881?
5
What is the remainder when 29500247 is divided by 126?
119
Calculate the remainder when 62796 is divided by 10325.
846
Calculate the remainder when 683208 is divided by 46.
16
Calculate the remainder when 10895892 is divided by 243.
15
Calculate the remainder when 317763 is divided by 25.
13
Calculate the remainder when 1673624 is divided by 79694.
50
What is the remainder when 690481 is divided by 3456?
2737
What is the remainder when 231267 is divided by 3181?
2235
Calculate the remainder when 11147205 is divided by 8477.
8427
Calculate the remainder when 24001215 is divided by 2785.
85
What is the remainder when 321167 is divided by 9667?
2156
Calculate the remainder when 80603204 is divided by 124196.
0
What is the remainder when 4146438 is divided by 780?
738
Calculate the remainder when 1324653 is divided by 220753.
135
Calculate the remainder when 1416686 is divided by 1734.
8
Calculate the remainder when 244950102 is divided by 466.
464
What is the remainder when 351710 is divided by 79?
2
What is the remainder when 15788 is divided by 11904?
3884
Calculate the remainder when 15010582 is divided by 39192.
46
What is the remainder when 823329 is divided by 39195?
234
Calculate the remainder when 187984 is divided by 8747.
4297
What is the remainder when 19083 is divided by 4526?
979
What is the remainder when 19573804 is divided by 962?
952
Calculate the remainder when 6549659 is divided by 489.
482
What is the remainder when 104796 is divided by 5239?
16
What is the remainder when 1701067 is divided by 415?
397
What is the remainder when 29587700 is divided by 1129?
1126
Calculate the remainder when 6254438 is divided by 625443.
8
What is the remainder when 590778 is divided by 294807?
1164
Calculate the remainder when 4383 is divided by 1733.
917
What is the remainder when 17991375 is divided by 99952?
15
Calculate the remainder when 690570 is divided by 557.
447
What is the remainder when 1218899 is divided by 600?
299
Calculate the remainder when 556443 is divided by 92734.
39
What is the remainder when 63432 is divided by 3?
0
Calculate the remainder when 69583816 is divided by 3539.
3537
Calculate the remainder when 1639107 is divided by 8718.
123
What is the remainder when 29397465 is divided by 681?
57
Calculate the remainder when 111224157 is divided by 144.
141
Calculate the remainder when 1313234 is divided by 5863.
5785
Calculate the remainder when 101627 is divided by 10161.
17
What is the remainder when 15913340 is divided by 51?
14
What is the remainder when 1881477 is divided by 165?
147
Calculate the remainder when 171806 is divided by 1206.
554
Calculate the remainder when 587561 is divided by 2750.
1811
What is the remainder when 986408 is divided by 6127?
6088
Calculate the remainder when 74537697 is divided by 227944.
9
Calculate the remainder when 80501 is divided by 7315.
36
What is the remainder when 193283 is divided by 2357?
9
Calculate the remainder when 3593087 is divided by 639.
629
What is the remainder when 587409 is divided by 4215?
1524
Calculate the remainder when 143011 is divided by 5644.
1911
What is the remainder when 10805571 is divided by 104?
75
What is the remainder when 5438986 is divided by 45?
16
What is the remainder when 33012 is divided by 1956?
1716
What is the remainder when 27844 is divided by 761?
448
What is the remainder when 321130 is divided by 1466?
76
Calculate the remainder when 36946627 is divided by 190.
177
What is the remainder when 129111 is divided by 41111?
5778
Calculate the remainder when 3990223 is divided by 799.
17
Calculate the remainder when 1333772 is divided by 266705.
247
Calculate the remainder when 488739 is divided by 1029.
993
What is the remainder when 6559126 is divided by 504547?
15
Calculate the remainder when 215546396 is divided by 45.
41
What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
(-42)/294)/((-1)/7).
1
What is 3/7*7/(42/(-8))?
-4/7
Calculate (((-8)/(-14))/2)/(63/(-49)).
-2/9
Calculate (4/(-33))/((-1)/9*-6).
-2/11
Evaluate (18/(-2))/3*1*-1.
3
What is ((-8)/(-52))/(-2*(-4)/52)?
1
Evaluate (-12)/(-4)*(-44)/33.
-4
-5*(-4)/((-24)/1)
-5/6
What is the value of (-140)/(-168)*3/(-20)?
-1/8
-3*1*(-72)/54
4
What is ((-6)/(-9))/((-48)/108)?
-3/2
What is (-1)/(-8)*2*8/2?
1
-2*(-6)/8*10/(-5)
-3
Evaluate 12/(-27)*3/2*2.
-4/3
Evaluate (-4)/(-6)*39/(-143).
-2/11
Evaluate (2/3)/(2/12).
4
(9/(-108))/(9/(-24)*-4)
-1/18
Evaluate 24*1/((-5)/10*6).
-8
What is the value of ((-1)/(-8))/(95/1520)?
2
What is (((-10)/3)/(24/(-72)))/2?
5
What is the value of 6/9*(-28)/56?
-1/3
What is the value of 7/(-14)*(-120)/12?
5
Calculate 10/(-2)*1/1.
-5
Calculate (24/126)/((8/3)/(-4)).
-2/7
What is (-2)/((-24)/((-8)/(-2)))?
1/3
1/(20*1/8)
2/5
What is the value of ((-51)/17)/(3*(-6)/8)?
4/3
What is (-16)/((44/(-11))/(8/4))?
8
What is (6/4)/((-48)/8)*-2?
1/2
What is the value of -1*10*6/900?
-1/15
1*(0/(-13))/3
0
What is (1479/(-170))/29*8/18?
-2/15
What is the value of -7*(8/(-28))/(-1)?
-2
What is (1/(-2))/(6/36)?
-3
(0/1)/(14/7)
0
What is (-2)/9*390/52?
-5/3
What is the value of (-28)/21*(-216)/(-384)?
-3/4
What is (15/3)/(3*4/(-3))?
-5/4
Evaluate (-3)/(6/8)*12/(-12).
4
What is the value of -5*(-7)/35*(-1)/5?
-1/5
What is the value of ((-4)/6)/((-242)/(-3267))?
-9
What is ((-21)/84)/((-1)/12)?
3
What is (-13)/((-39)/6)*1*-2?
-4
What is (((-54)/12)/(-9))/((-2)/4)?
-1
9/(27/4)*6/(-4)
-2
Evaluate 17/((-170)/(-50))*3/5.
3
What is (-5)/3*2/120*8?
-2/9
Evaluate (3/(-6))/(-1)*-1*2.
-1
(-8)/54*27/(-36)*-1
-1/9
What is 69/(-1380)*4/2?
-1/10
What is the value of 24/10*-25*(-9)/90?
6
What is (63/42)/((-3)/(-4))?
2
What is the value of ((518/105)/(-37))/((-12)/10)?
1/9
Calculate (2/(-3)*2)/(4/(-6)).
2
What is the value of 3/15*5*(-2)/10?
-1/5
Calculate 8/(-2)*(12/2)/84.
-2/7
Calculate (-1)/(-2)*(-336)/28.
-6
Calculate (-5*12/(-40))/3*-2.
-1
40/(-30)*6/4
-2
((-10)/(-54))/(295/354)
2/9
What is the value of ((-228)/(-24))/19*-2?
-1
What is ((-6)/(-63))/((-4)/12)?
-2/7
Evaluate ((-36)/(-16)*1)/((-52)/(-208)).
9
Evaluate (-90)/50*(-5)/(-3).
-3
What is the value of 2*3/(-6)*15/(-5)?
3
Evaluate (4/56)/((-5)/40*2).
-2/7
Calculate (-12)/(-26)*13/(-130)*-65.
3
What is (6/10)/(-3*(-7)/105)?
3
What is ((-1966)/2949)/(((-4)/(-21))/(-1))?
7/2
Calculate -8*(-5)/40*-3.
-3
Evaluate 1*20*4/(-8).
-10
5/(75/(-50)*4/(-6))
5
What is the value of (-35)/(-2)*(-144)/504?
-5
What is -1*1/(6*4/(-20))?
5/6
(20*4/56)/((-40)/40)
-10/7
Evaluate -2*5/(20/6).
-3
2/3*(-21)/14
-1
What is the value of ((-40)/120)/(4/3)?
-1/4
What is (12/(-42))/((-18)/28)?
4/9
What is the value of (92/(-322))/((-9)/14)?
4/9
What is the value of 7*(-24)/84*4?
-8
(34/(-85))/(2/(-3))
3/5
(-26)/(-117)*(-72)/(-4)
4
Calculate (((-42)/9)/(-7))/((-6)/(-27)).
3
(-17)/34*-1*(-16)/4
-2
Calculate (8/(-10))/(30/150).
-4
Calculate (40/(-16))/((-3)/6).
5
What is (-8)/6*((-90)/4)/15?
2
What is ((-1)/3)/(-25*(-10)/(-1050))?
7/5
Calculate -21*2/135*(-57)/133.
2/15
((-12)/(-8))/(3*(-2)/(-4))
1
What is (1/(-2)*-3)/(402/(-2680))?
-10
What is the value of (-8)/(-14)*4/(120/35)?
2/3
What is (4/11)/(3/((-3)/(-2)))?
2/11
What is the value of (32/96)/(3/((-36)/14))?
-2/7
Calculate 36/96*2/(-3).
-1/4
Evaluate ((-9)/12)/(30/5).
-1/8
What is (60/280)/((-12)/(-14))?
1/4
What is (-12)/2*((-63)/(-14))/(-9)?
3
What is 1*21/(42/8)?
4
Calculate (-3)/((126/(-140))/(6/(-10))).
-2
What is the value of ((-36)/9)/(4/(-5))?
5
Calculate 1/4*(-100)/(-5).
5
Calculate 3*3/3*(-1)/(-5).
3/5
What is 40/350*10/(-4)?
-2/7
Evaluate (1/5)/((-36)/(-60)).
1/3
Evaluate (((-2)/10)/((-56)/(-420)))/(-9).
1/6
Calculate 24/(-8)*(-3)/((-18)/(-4)).
2
What is (-2*(-9)/(-4))/((-44)/(-88))?
-9
Evaluate ((-18)/6)/3*(-1)/(-2).
-1/2
Evaluate ((-8)/(-24)*-3)/(-1).
1
What is 16/5*80/32?
8
What is (8/10)/(2684/610)?
2/11
What is ((-4)/(-12)*3)/((-1)/(-1))?
1
Evaluate (-1)/(4*10/(-40)).
1
Calculate 36/(-126)*42/(-15).
4/5
(36/(-24))/((-4)/4)
3/2
Calculate ((-75)/18)/5*(-15)/(-50).
-1/4
What is the value of ((-146)/(-365))/((-7)/5)?
-2/7
1/(-4)*(2736/(-18))/19
2
Calculate 4*6*(-4)/(-816).
2/17
Calculate ((-9)/45*0)/(-2).
0
Calculate (13/((-1170)/12)*10)/(-6).
2/9
1/((-9)/54*69)
-2/23
Calculate 3*((-8)/3)/8.
-1
What is (((-1)/1)/(-1))/((-10)/30)?
-3
Calculate (-3)/5*(-6)/9.
2/5
What is the value of 4*(-7)/28*0?
0
Calculate (-4)/(-210)*-10*21/18.
-2/9
4/((-24)/6)*3
-3
What is the value of (7/35*-5)/1?
-1
Calculate ((-8)/24)/(2/(-12)).
2
40*(-7)/(-175)*(-10)/(-12)
4/3
Calculate (-664)/(-83)*(-1)/6.
-4/3
((-4)/(-5))/(1276/(-290))
-2/11
Calculate ((-2)/2)/(32/(-32)).
1
What is the value of (((-1)/(-2))/(-1))/((-728)/(-224))?
-2/13
Calculate ((-15)/10)/(33/154).
-7
Evaluate 5/3*((-162)/(-10))/9.
3
-3*8/(-90)*(-5)/(-6)
2/9
What is the value of (9*(-3)/18)/6?
-1/4
Evaluate (-5)/9*6/(-15).
2/9
Evaluate ((-6)/4)/(2/4).
-3
Calculate (-2)/(-8)*3/(-3).
-1/4
(12/6)/(-4*4/8)
-1
What is 2/(12/(-3))*8?
-4
Calculate (-88)/(-4)*(-16)/(-32).
11
Calculate (-2485)/(-142)*(-5)/((-50)/4).
7
Calculate ((-37)/(-111))/((-20)/(-6)).
1/10
Calculate (5*4)/((-275)/(-110)).
8
((-256)/224)/((30/(-7))/3)
4/5
Calculate 3*56/(-63)*(-3)/(-1).
-8
Evaluate 22/4*28/(924/9).
3/2
What is the value of (6/14)/(6/42)?
3
What is (((-1548)/48)/43)/(3/(-20))?
5
What is the value of (0/(-3))/((-4)/(-2))?
0
What is ((-72)/15)/(-4)*(-320)/(-48)?
8
What is ((-8)/(-20))/((-28)/(-40))?
4/7
What is (48/(-44))/(36/(-264))?
8
What is the value of ((-1)/3*0/2)/(-1)?
0
((56/(-8))/(-35))/((-3)/(-30))
2
What is -9*(-1)/3*(-3)/(-3)?
3
What is the value of (7*(-7)/(-49))/((-3)/3)?
-1
((-252)/120)/(-21)*2*-3
-3/5
((-8)/(-70))/(8/20)
2/7
Calculate ((-6)/(-5))/(3*(-8)/60).
-3
What is ((-9)/(-8))/(16/(128/(-24)))?
-3/8
((-136)/1326)/((-2)/3)*-1
-2/13
((429/(-22))/13)/(-9)
1/6
Evaluate ((-3)/12)/(6/72).
-3
What is the value of 450/(-315)*-1*(-7)/(-8)?
5/4
What is the value of ((-1)/(-14))/(11/((-770)/(-20)))?
1/4
What is the value of ((-6)/3)/(-2)*0/17?
0
Evaluate 2*5/15*9/(-3).
-2
Evaluate 20/(-12)*180/75.
-4
What is (84/69)/7*9/18?
2/23
What is ((-19)/(-19))/((-2)/(4/2))?
-1
What is the value of (((-57)/19)/((-8)/(-6)))/(-3)?
3/4
(8/(-6))/((-2)/12*14)
4/7
Calculate ((-1)/(-13))/((-5)/(-30)*-3).
-2/13
What is the value of -6*2*3/(-4)?
9
(-14)/(-4)*((-624)/(-210))/26
2/5
Evaluate 1/(-1)*(-3)/(-1).
-3
Calculate 138/92*12/9.
2
Calculate -1*(-5)/(-15)*1/1.
-1/3
((-40)/(-35))/(-4)*14
-4
What is the value of (-1)/(-4)*(-40)/50?
-1/5
What is the value of (6/7*-1)/((-141)/1316)?
8
What is (34/85)/(4/(-6))?
-3/5
Calculate (-30)/(-55)*1/(-2).
-3/11
What is the value of 3/15*(-3)/(-3)?
1/5
What is the value of (5*5/50)/((-4)/48)?
-6
Calculate ((-8)/6)/4*1*-1.
1/3
(12/(-9))/(-4)*(-2)/2
-1/3
Evaluate (10/(-20))/((-4)/2).
1/4
Calculate 25/2*284/355.
10
Calculate (12/72)/((-2)/9).
-3/4
What is the value of (-1)/(((-12)/(-21))/((-2)/(-7)))?
-1/2
What is the value of ((-5)/(-6)*-2)/(10/(-6))?
1
What is ((-80)/(-4))/(-2)*(-1)/(-2)?
-5
What is the value of (-4*2/(-32))/(2/(-6))?
-3/4
(4/(-6))/(15*(-2)/9)
1/5
What is ((-175)/7)/(15/(-3))?
5
Calculate (0/2)/(((-288)/(-8))/(-9)).
0
Calculate (-1)/(-2*(-22)/(-8)).
2/11
Evaluate (-3)/((-10)/(-8)*21/35).
-4
(7/(-7))/((21/(-24))/7)
8
Calculate -1*3*110/990.
-1/3
What is ((-4)/(-6))/((-4)/(-2))*3?
1
What is 2/(3/3)*1?
2
What is 18/(-21)*(-70)/(-80)?
-3/4
Evaluate (-63)/(-56)*4*(-4)/6.
-3
What is the value of (96/72)/(2/(-12))?
-8
Evaluate ((-21)/(-9))/((-32)/96).
-7
Evaluate (84/(-24))/(1/2).
-7
Calculate -6*2*21/(-36).
7
What is 11*(-12)/(-132)*2?
2
Calculate (-3)/((-12)/10)*8/10.
2
(-4)/(-30)*-5*1
-2/3
Evaluate ((-18)/(-5355)*17)/(2/(-10)).
-2/7
(180/15)/12*4
4
What is (18/(-21))/(8/(-84))?
9
((-6)/(-2))/((-6)/6)*1
-3
Calculate (-6)/(-4)*20/6.
5
Evaluate ((-6)/(-9))/((-10)/225*-3).
5
Calculate (-4)/(-15)*(-24)/64.
-1/10
(-1)/(-7)*12/12
1/7
Evaluate (-20)/(-30)*(-6)/(-4)*5.
5
Evaluate 1/(-1)*(-1)/(6/12).
2
Calculate (12/(-26))/(418/(-494)).
6/11
Calculate ((-1)/9)/(((-24)/9)/8).
1/3
What is ((-8)/(-32))/(3/4)?
1/3
(-3)/5*150/(-315)
2/7
Evaluate 3*4/104*32/24.
2/13
Calculate 6/9*(-6)/((-12)/(-12)).
-4
Evaluate (-4)/(-9)*(-78)/208.
-1/6
((-7)/3)/(99/297)
-7
Evaluate ((16/8)/(-2))/(1/(-2)).
2
What is (38/(-342))/((-2)/(-4))?
-2/9
(
|
{
"pile_set_name": "DM Mathematics"
}
|
1*(0/(-3))/(-3)?
0
What is the value of (-32)/(-16)*-2*1?
-4
9/30*-4*(-1)/3
2/5
(-6)/20*(-5)/(-6)
-1/4
(8/192*8)/(3/(-3))
-1/3
What is the value of (-108)/108*(-2)/((-2)/(-3))?
3
What is (-1)/((-60)/(-5))*3?
-1/4
What is ((-3)/36)/((-52)/(-104))?
-1/6
Calculate (4/(-16)*-12)/1.
3
Evaluate -1*((-5)/(-1))/(-1).
5
What is ((-7)/(14/3))/((-12)/4)?
1/2
(0/((-10)/(-2)))/(-2)
0
(-24)/(-20)*(280/(-108))/(-7)
4/9
What is the value of ((-20)/(-10))/(24/3)?
1/4
Calculate 8/14*(-35)/30.
-2/3
Evaluate ((-208)/(-91))/((-1)/(21/(-6))).
8
What is ((-7)/(-21))/((-19)/285)?
-5
Evaluate ((-6)/20)/((-240)/(-200)).
-1/4
Evaluate (16/44)/((-4)/6).
-6/11
Evaluate ((-2)/(-3))/((416/36)/13).
3/4
What is the value of 2/(8/10)*12/10?
3
What is (-10)/3*(24/20)/1?
-4
Calculate -4*(-3)/132*-2.
-2/11
15/2*((-112)/(-12))/14
5
Calculate ((-2)/(-15))/(13/(-39)).
-2/5
Calculate (3/(-18))/((-1)/18).
3
Calculate (82/287)/(4/(-7)).
-1/2
Evaluate (2*1/6)/(9/(-81)).
-3
What is 1*((-42)/(-6))/(-21)*3?
-1
What is 1/((-15)/6)*(-45)/9?
2
(-5)/10*(-2)/3
1/3
Evaluate (2/(-20))/((-28)/70).
1/4
Calculate (-1)/(-15)*-3*3/3.
-1/5
What is (6/5)/((-752)/235)?
-3/8
Calculate ((-2352)/(-735))/(4/10).
8
(-8)/(-3)*39/26
4
Calculate (128/12)/(-4)*(-22)/88.
2/3
Evaluate (0/1)/((-847)/77).
0
What is the value of (1*6/(-2))/2?
-3/2
Calculate ((-26)/104)/((-2)/4).
1/2
What is the value of (14/5)/(8/(-20))?
-7
What is (10/6)/((-140)/504)?
-6
Evaluate 5*(26/91)/((-4)/14).
-5
What is 2/15*30/22?
2/11
What is the value of 5*2/(-60)*2?
-1/3
What is the value of (1/(-3))/(6/18)?
-1
Evaluate ((-3)/18)/(44/(-66)).
1/4
(2/12)/((-22)/88)*-6
4
Calculate 1/((-8)/14)*8/(-28).
1/2
What is (-5)/2*(36/(-15))/3?
2
Evaluate (-3*2/(-48))/(7/(-14)).
-1/4
((-84)/(-56))/((-4)/(-8))
3
Calculate (-8)/14*35/(-10).
2
What is 3*(10/4)/(21/(-14))?
-5
What is the value of 4/14*(-21)/18?
-1/3
Evaluate ((-14)/12)/(2*14/(-12)).
1/2
What is 3/(-27)*12/4?
-1/3
((-2)/(-8)*-2)/((-12)/(-24))
-1
Calculate 40/100*4/4.
2/5
What is ((-15)/18)/5*9?
-3/2
What is (20/60)/((-1)/(-9))?
3
0/((-2)/2)*1
0
Evaluate (2/6)/((-30)/12).
-2/15
Evaluate 2*((-9)/(-12))/(60/16).
2/5
Evaluate (-110)/286*4/(-10).
2/13
Evaluate 6/(-12)*0*(-2)/(-4).
0
Calculate ((-6)/(-4))/(8/(384/18)).
4
Evaluate 2/(-21)*(-18)/(-6).
-2/7
What is 1/((18/54)/((-2)/3))?
-2
Evaluate 81/(-36)*44/(-165).
3/5
What is the value of 54/24*(-1)/3*2?
-3/2
What is the value of ((-2)/(-7))/((-32)/(-56))?
1/2
What is ((-33)/18)/11*(-3)/(-3)?
-1/6
(-1)/((-10)/350*5)
7
((30/4)/(-5))/((-33)/(-44))
-2
What is ((-6)/4)/((-30)/(-40))?
-2
Evaluate ((16/5)/4)/(2/5).
2
Calculate -6*2/18*-3.
2
What is ((1140/(-96))/19)/(10/(-4))?
1/4
What is the value of 3*-4*(-3)/9?
4
What is the value of -10*(3/(-4))/(150/160)?
8
Calculate ((-4)/10)/(24*7/70).
-1/6
Calculate 2*((-2)/20)/(30/(-50)).
1/3
What is the value of ((-2)/(-5))/((-88)/22)*8?
-4/5
What is the value of (-1)/((3/4)/(3/2))?
-2
4/(-6)*3/(-2)
1
Calculate (3/((-45)/20))/((-26)/(-3)).
-2/13
Calculate 6/(-45)*120/48.
-1/3
What is ((-1)/2)/(((-18)/3)/(-12))?
-1
Evaluate (-4)/144*-12*1/(-1).
-1/3
What is 4/4*1*(-4)/(-4)?
1
What is 14/10*20/(-4)?
-7
Calculate 110/(-11)*(-1)/2.
5
Evaluate (-6)/44*(-24)/18.
2/11
What is the value of 0/(-4)*(-6)/18?
0
Calculate (-2)/(3/(-1)*(-24)/36).
-1
What is the value of (12/(-21))/(32/336)?
-6
Evaluate (((-60)/5)/(-6))/(5*1).
2/5
What is ((-1)/3)/((-12)/(-18))?
-1/2
What is 1/((-1)/((-8)/44))?
2/11
Calculate 5*(-6)/(-180)*3/(-4).
-1/8
Evaluate 15/(-6)*16/20.
-2
Evaluate 7/(((-55)/(-11))/5).
7
What is 4/(-34)*2*(-83)/166?
2/17
Calculate ((-5)/(-20)*-2)/((-3)/6).
1
(-1)/(-1*1/((-4)/4))
-1
((-2)/((-90)/15))/(4/(-9))
-3/4
What is 6*1/24*-24?
-6
What is (-3)/(9/(-2))*(-75)/25?
-2
Evaluate ((-254)/(-2540))/((1/6)/(-1)).
-3/5
What is the value of (-3)/(-12)*(-36)/6?
-3/2
What is (-20)/175*(-20)/(-8)?
-2/7
What is the value of ((-6)/(-4))/(9/(-24))?
-4
What is the value of 1/10*2*(-27)/(-27)?
1/5
Calculate 2/3*23/92.
1/6
What is the value of ((-63)/84)/(42/16)?
-2/7
What is the value of (12/24*0)/((-2)/(-2))?
0
Calculate (2/4*1)/(41/41).
1/2
Calculate ((-12)/(-20))/((-16)/10)*-4.
3/2
What is (0/1)/4*(-1)/(-2)?
0
What is (-256)/960*-5*1/(-2)?
-2/3
((-21)/28)/((-6)/2)
1/4
((-6)/(-4))/((-870)/40)
-2/29
(1/3)/((-11)/33)
-1
What is the value of (3/2)/((-51)/68)?
-2
What is ((-6)/2)/((44/(-4))/(-11))?
-3
Evaluate (-2)/(-3)*(-29)/58.
-1/3
8/(-14)*(-84)/24
2
What is the value of 56/490*-10*(-14)/(-4)?
-4
What is the value of 8/1*((-115)/10)/23?
-4
Calculate (28/63)/(10/135).
6
What is ((-25)/60)/((80/18)/(-8))?
3/4
0/((-5)/(-5)*1)
0
What is (30/(-25))/(15/(-25))?
2
What is 106/(-424)*4*4?
-4
What is (17/(-85))/((-3)/75)?
5
(60/(-45))/((-4)/(-6))
-2
What is the value of (-4*3)/((-81)/54)?
8
((-8)/(-12))/((-17)/(714/(-4)))
7
(-8)/3*(-3)/(-12)*-3
2
Evaluate 1/7*42/36.
1/6
What is (-10)/30*(-8)/6*3?
4/3
What is the value of 2/((5/20)/(1/(-2)))?
-4
What is -12*22/132*2/4?
-1
What is (-2)/(-8)*8/6?
1/3
Calculate (-44)/55*10/(-4).
2
What is (3/((-21)/(-2)))/((-26)/52)?
-4/7
Evaluate (-1*(-3)/(-9))/(28/(-63)).
3/4
Evaluate 4/21*336/(-896).
-1/14
(-6)/21*(-69)/(-46)
-3/7
What is the value of 2/7*(-56)/(-40)?
2/5
What is the value of 2/(((-90)/27)/10)?
-6
What is 6/(-9)*(-9)/28*-2?
-3/7
Calculate (216/(-30))/9*15/6.
-2
Calculate (-63)/14*7/((-63)/(-6)).
-3
(6*(-3)/(-180))/((-6)/24)
-2/5
What is the value of (402/3015)/(2/18)?
6/5
What is the value of 50/1625*(-5)/1?
-2/13
((-24)/((-40)/(-5)))/(-3)*1
1
Calculate 0/((8/(-14))/(4/14)).
0
What is 1/(-3*(-4)/(-12))?
-1
What is the value of ((-4)/6)/((-300)/(-90))?
-1/5
What is 4*(-8)/((-48)/3)?
2
Calculate 26/39*(-1)/2.
-1/3
What is the value of (12/(-12))/((-15)/18)?
6/5
What is the value of (63/10)/(-7)*95/228?
-3/8
What is the value of (6/(-24))/(((-13)/8)/(-1))?
-2/13
What is (4/(-6))/((-4)/(-90)*5)?
-3
Evaluate (16/(-12))/((-8)/18).
3
Evaluate (3/(-9))/((-1)/(-4)).
-4/3
What is the value of 5/(-4)*(-40)/10?
5
Evaluate (3/4)/(1/(-4)).
-3
(18/(-45)*5)/(8/3)
-3/4
What is the value of (-4*15/40)/(6/(-8))?
2
Evaluate (((0/2)/(-1))/2)/(-2).
0
What is the value of ((26/6)/(-13))/((-4)/6)?
1/2
Evaluate (4*2/24)/(38/(-456)).
-4
What is 2/(-3)*6/(-4)?
1
What is 30/(-16)*(-20)/600*-40?
-5/2
Evaluate (-6*(-7)/(-28))/2.
-3/4
What is the value of 9/12*(-27)/(-54)?
3/8
Calculate (-18)/(-168)*(-3)/6*-7.
3/8
What is the value of 3*(-2*2/(-12))/(-1)?
-1
Evaluate (24/150)/(((-14)/(-10))/7).
4/5
Calculate (-35)/2*(-9)/63*2.
5
What is the value of 1/(2/(-12))*(-54)/81?
4
Evaluate (6/8)/(-27*(-1)/(-16)).
-4/9
What is 0*(24/18)/4?
0
What is ((2/(-6))/((-26)/351))/6?
3/4
What is the value of ((-1)/3)/((-5)/(-10))?
-2/3
What is the value of -2*3/15*(-15)/2?
3
What is the value of (16/(352/(-33)))/((-1)/2)?
3
Calculate 3/((-3)/1)*(-8)/(-24).
-1/3
Calculate ((-30)/(-105))/((-88)/56).
-2/11
What is -2*((-20)/(-32))/5*1?
-1/4
Evaluate (-126)/900*-2*(-2)/7.
-2/25
(2/4)/(3*(-1)/6)
-1
What is (-2)/12*48/(-6)?
4/3
Calculate ((-26)/(-13))/(((-9)/6)/(-3)).
4
Evaluate (-28)/6*327/218.
-7
What is (-5)/(-2)*(-21)/((-189)/18)?
5
Evaluate -1*4*4*4/64.
-1
What is ((6/5)/3)/(-1)?
-2/5
Calculate (-2)/(-1)*-3*4/6.
-4
(-21)/(12*6/24)
-7
(6/(-36))/((-40)/1200)
5
Evaluate 50/45*-6*6/(-8).
5
What is ((-8)/(-5))/((-36)/90)?
-4
Calculate 1*30/15*-5.
-10
What is 2/3*(-21)/(-98)*-3?
-3/7
Evaluate ((-3)/4)/((-45)/24).
2/5
Evaluate 324/(-378)*(-2)/(-3).
-4/7
Evaluate (9/21)/(((-51)/(-2))/(-17)).
-2/7
Evaluate 1*((-8)/4)/((-12)/(-30)).
-5
Evaluate (30/45)/(((-56)/6)/2).
-1/7
What is the value of 0/(-1)*8/(-32)?
0
((-12)/(-54))/((-28)/(-18))
1/7
Calculate ((-108)/324)/(1/15).
-5
What is ((-6)/(-3))/(36/(-6))*2?
-2/3
Evaluate ((-56)/(-8))/35*-25.
-5
Calculate 12/(-4)*-2*1/(-14).
-3/7
What is (((-30)/(-9))/(-5))/(24/54)?
-3/2
Evaluate ((-9)/18*3)/(2/(-1)).
3/4
What is 2/6*(-40)/60?
-2/9
What is the value of 1/((-15)/5*1/(-3))?
1
Calculate (2/3)/((-10)/(-30)).
2
What is ((-1)/(-1))/(16/(-240)*-20)?
3/4
Evaluate 3/6*78/(-91).
-3/7
Calculate (-12)/(-8)*(-40)/12.
-5
What is the value of -1*4/6*(-5)/10?
1/3
Calculate ((-28)/7)/(-2)*2/(-10).
-2/5
(-5)/(-15)*18/3
2
What is the value of ((-4)/32*2)/((-4)/(-16))?
-1
-6*(3/(-8))/((-6)/2)
-3/4
Calculate (-1)/((1/(-5))/((-4)/(-10))).
2
16/14*(-7)/2
-4
Calculate ((-3)/(-7))/(-5*(-4)/20).
3/7
What is the value of
|
{
"pile_set_name": "DM Mathematics"
}
|
d (177 + 16*y - 177)*(-2 + 2 + 2*y).
32*y**2
Expand (-2 - 2 + 18)*(2*v + 3 - 3 - 2).
28*v - 28
Expand (0*l**2 + 2*l**2 - 4*l**2)*(-l**2 + 12 + 2*l**3 - 12) + 2*l**5 - 3*l**5 + 3*l**5.
-2*l**5 + 2*l**4
Expand (1 - 1 + 2*p)*(0 - 4 + 3) - 1 + 1 - p + 5 - 5 + p + (4 + 0 - 2)*(0*p - p + 2*p) + 4 - 4 - p.
-p
Expand -2*f - 1 + 2*f - f + (-3 - 1 - 4)*(2*f + f - 2*f).
-9*f - 1
Expand ((2*b - 4*b + 4*b)*(2*b + 3*b - 3*b) + 4*b**2 - b**2 - 5*b**2 + 3*b**2 - 5*b**2 + 3*b**2 + 4*b**2 - 4*b**2 + b**2 - b**2 + 4*b - 4*b)*(122 + 144 - 210).
168*b**2
Expand (-5*x - 2*x + 2*x)*(5*x**2 - 2*x**2 + 0 + 2)*(3 - 2*x - 3).
30*x**4 + 20*x**2
Expand (-6*n - 13*n + 2*n)*(-2 + 2 + 2*n).
-34*n**2
Expand (-2*k**3 + k**3 - 3*k**3)*(-3 - 2*k - 1 + 0*k + (0 - 2 + 0)*(2*k + k - k) + 2*k + 1 - 1).
16*k**4 + 16*k**3
Expand (-2*w**2 + 2*w - 2*w)*(7 - 3 - 11)*(w**3 - 3*w**3 + w**3).
-14*w**5
Expand (2*v**3 - 4*v + 4*v)*((0 + 2*v + 0)*(0 - 1 + 2) + 95*v + 15709 - 15709).
194*v**4
Expand (-3 + 1 + 4)*(f**3 - 2*f**3 + 3*f**3) - 2*f**3 + 3*f**3 - 2*f**3 - 2*f**3 + 5*f**3 - f**3 - 3*f**3 - 2*f**3 + 4*f**3 + (3 - 3 - f**2)*(12 - 12 - 5*f).
9*f**3
Expand (0*j + 7*j - 3*j)*(-3*j**2 + 17*j**2 + j**2).
60*j**3
Expand (-x + 2*x - 5*x + 2)*(-9*x + 4*x + 9*x + (2 - 2 + 2)*(-x + 1 - 1)).
-8*x**2 + 4*x
Expand (4 + 3*n - 4)*(-n**2 + 2*n**2 + 0*n**2)*(2 + 1 + 1).
12*n**3
Expand (-1 + 2*f**2 + 2 + f**2)*(-7*f**2 - 4*f + 7*f**2 - f**2).
-3*f**4 - 12*f**3 - f**2 - 4*f
Expand (5*d + 3*d + d)*(4*d - 2*d + 0*d) + (2*d - 2 + 2)*(-2 + 3*d + 2).
24*d**2
Expand (39*c**2 - 148*c + 148*c)*(-c**2 - c**2 + c**2).
-39*c**4
Expand (1 - 6 + 3)*(-2*c**3 + 2*c**3 + 4*c**5).
-8*c**5
Expand (2 - 5 + 0)*(3*o - 2*o + o).
-6*o
Expand (3*h**3 + h**3 - 3*h**3)*(-2 + 10 - 2) + 2*h**3 - h + h.
8*h**3
Expand (-1 - 3 + 2 + (-2 + 4 - 3)*(-2 + 2 + 1))*(b**2 - b**2 + 3 - 2*b**2).
6*b**2 - 9
Expand (-3*o + 5*o - 3*o)*(0*o - o - o) - 20 + 20 + o**2.
3*o**2
Expand (-4 + 0 + 5)*(-2*p + 2*p + 3*p**2)*(-3*p**3 - 3*p**3 + 4*p**3).
-6*p**5
Expand (2 + 0 - 3)*(-3*g**2 + 3*g**2 - g**4) + 8*g**4 + 2*g**4 - 2*g**4 + (0*g**2 - 3*g**2 + 0*g**2)*(2 - 2*g**2 - 2).
15*g**4
Expand 2*b + 0*b - 3*b - b - 2*b + 4*b + (-1 - 1 + 1)*(2*b - 5*b + 2*b).
b
Expand (4 - 4 + 3*h**3)*(-11 - 8*h + 11).
-24*h**4
Expand (-10*f**4 - 2*f**4 + 3*f**4)*(1 + 0 - 2 + (3 + 3 - 5)*(-3 + 3 - 1) + 2 - 1 - 2 + 2 + 4 - 2).
-9*f**4
Expand (2*s**2 + 0*s**2 - 4*s**2)*(1 + 3 - 2)*(18*s - 14*s + 32*s).
-144*s**3
Expand (0 + 2 + 0)*(-3*a**2 + 2*a**3 + 3*a**2)*(-2*a**2 - a**2 + a**2).
-8*a**5
Expand 426*k + 3 - 1 - 390*k + (-4 + 1 + 2)*(-k + 4*k - k) - k - 2 + 2.
33*k + 2
Expand (-1 + 2 + 2)*(0 - 1 + 0)*(4*d**2 - 4*d**2 + 3*d**4) + 0*d - 2*d**4 + 0*d.
-11*d**4
Expand (2 + 0 - 4)*(9 + 2 - 2)*(-1 - 3*b + 1).
54*b
Expand (-1 - 4*z**3 + 1)*(2 + 2 + 4*z - 6*z).
8*z**4 - 16*z**3
Expand (3*h - 5*h + 0*h)*(-1 + 1 + 2*h) - 2*h - 2*h - 5*h**2 + 3*h**2.
-6*h**2 - 4*h
Expand -2*z**3 + 4*z**3 + 0*z**3 + (1 - 2*z - 1)*(-3*z**2 + z**2 + z**2).
4*z**3
Expand (7*r**3 - 3*r**3 + 0*r**3)*(4*r + r**2 - 4*r) + r**5 - 7*r**5 + 0*r**5 + 2*r**5 - r**5 + 0*r**5.
-r**5
Expand (11 + 3*y**2 - 11)*(-y + y - 2*y)*(3 + y - 3).
-6*y**4
Expand ((-1 + 1 + 2)*(5*a**5 - 2*a**5 - 2*a**5) + 0 + 3*a**5 + 0)*(3 + 1 - 5).
-5*a**5
Expand (-7 - 9 - 1)*(1 - 2 - 1)*(2*d - 2*d + d).
34*d
Expand ((-w + 2*w - 3*w)*(3*w - w - w) + 0*w**2 - 3*w**2 + 12*w**2 - 5*w**2 + 2*w**2 + w**2)*(-4 + 4 - 2*w**2).
-10*w**4
Expand (-2*n**2 + 5*n**2 + 6*n**2)*(-10*n + 10*n - 6*n**2) + (2*n**2 - 3*n**3 - 2*n**2)*(-3*n + 0*n + n).
-48*n**4
Expand (-1 + 2 - 5)*(4 + 0 - 6)*(0*a + 0*a + 2*a).
16*a
Expand (13*q - 2 - 20*q + 4)*(0*q**2 - 4*q**2 + 3*q**2).
7*q**3 - 2*q**2
Expand (2*c**2 - 3*c**2 + 2*c**2)*(-c**3 + 0*c**3 - c**3) + (-3*c**2 - 2*c + 2*c)*(-4 + 4 - 2*c**3) - 2*c**5 - 2*c**2 + 2*c**2.
2*c**5
Expand (d + 2 + 1 - 1)*(d - 21 + 21).
d**2 + 2*d
Expand (3*d + 7*d**2 - 3*d)*(-2 + 3 + 0 - d).
-7*d**3 + 7*d**2
Expand (2*x - 2*x - x**3)*(-34*x**2 + 59*x**2 - x - 29*x**2).
4*x**5 + x**4
Expand -2*h + h + 0*h + 2 + 5*h - 3*h + 0*h + (h - 2*h + 2*h)*(2 - 2 + 1) + 0*h - h + 3*h - 2*h - h + 2*h - h - h + 4*h.
5*h + 2
Expand (-6 + 10 + 10)*(-3*g - 2*g + 6*g).
14*g
Expand (0*h + 3*h - 2 - 2*h)*(7*h + 0*h + h + (2 + 1 - 4)*(-4 + 4 + 2*h)).
6*h**2 - 12*h
Expand (-4*i - 5 + 5)*(-2 + 1 + 2)*(-3 - 4 + 5).
8*i
Expand (-12*j - 5*j + 19*j - 4)*(-1 + 1 + 2*j**3).
4*j**4 - 8*j**3
Expand -2*u**3 + 1 - 1 + (-4*u**2 + 2*u**2 + u**2)*(-3*u + 3*u + u) - u**3 + 4*u**3 - u**3 + 2*u**3 + 3*u**2 - 3*u**2 - 10*u**2 + 3*u**2 + u**3 - 3*u**3.
-u**3 - 7*u**2
Expand (-39 - 20 + 26)*(0*z**5 + 3*z**5 - z**5).
-66*z**5
Expand 0*n**2 - 4*n**2 + 2*n**2 - 2*n**2 + 2*n**2 + 2*n**2 + (-n + 2 - 2)*(-n - 3*n + 5*n) + 2*n**2 + 0 + 0 - 1 + 0*n**2 - 4*n**2 + 2*n**2 - n**2 - 5*n + 5*n.
-2*n**2 - 1
Expand (-4*z**2 + 4*z**2 - z**2)*(0*z - z + 0*z) + 3 + z**2 + 0 + 3*z**3 - 4.
4*z**3 + z**2 - 1
Expand ((-2 + 0 + 4)*(-2 + 2 + 1) + 2 - 3 - 2 + 1 - 3 + 3 + (-3 - 3 + 4)*(1 - 4 + 1))*(3*a - 3*a - a**2).
-4*a**2
Expand (3*q**4 + q**3 - 4*q**4 - 3*q**3)*(-3 - 2*q + 0 + 4).
2*q**5 + 3*q**4 - 2*q**3
Expand 0*n**3 + 6*n**3 + 0*n**3 + (-3 + 3 + n)*(-5*n**2 + 0*n**2 + 4*n**2) + 2*n**3 - 2*n**3 - 3*n**3.
2*n**3
Expand (m**2 - m**2 - 2*m**2)*(25*m + 27*m - 12*m)*(5*m - 6*m - m).
160*m**4
Expand (4*d + 2 - 3*d + 0*d)*(-6 + 2 + 3).
-d - 2
Expand (-2*v**2 + 4*v**2 + v**2)*(-2*v**3 + 6*v + 5*v**3 - 8*v).
9*v**5 - 6*v**3
Expand ((4 + 0 - 6)*(2*i + 3*i - 7*i) + 2*i + i - 5*i)*(5 - 1 - 3 + (2 + 5 - 3)*(2 - 1 + 0))*(i**2 + 2*i**2 + 0*i**2).
30*i**3
Expand (-2 - 4 + 5)*(-1 + 1 + 2*k + (2 - 6 + 3)*(0*k - 2*k + 0*k) - 2 + 2 + 5*k).
-9*k
Expand (-2*b**2 + 0*b**2 + 3*b**2)*(-28*b - 2 + 30*b + 5).
2*b**3 + 3*b**2
Expand -4*y + 0*y + 16*y + (0*y + y - 2*y)*(1 + 3 - 2).
10*y
Expand (1 - 4 + 1)*(0*r + 5*r - 4*r) + (7 - 7 - 4*r)*(3 + 4 - 5) + 1 + 2*r - 1.
-8*r
Expand (-2 + 3 - 4)*(r**2 - r**2 - 2*r**3)*(-3*r + 3*r + r).
6*r**4
Expand (10*x + 4*x + 4*x + 5*x)*(-6 + 6 - 2*x**3).
-46*x**4
Expand (10 - 8 - 2*v**2 - 5)*(v**2 - v**2 + 2*v**2).
-4*v**4 - 6*v**2
Expand -3*s**4 + 2*s**2 - 2 + 2 + (-3*s**2 + s**2 + 3*s**2)*(-s**2 + s - s).
-4*s**4 + 2*s**2
Expand -l + 2*l - 2*l + 4*l - l - 4*l - 2*l + 7*l - 3*l - 3 + 3 + 2*l + (-4 + 5 + 0)*(2*l - 3 + 3).
4*l
Expand (1 + 1 + 0)*(6*h**3 + 10*h**3 + h**3).
34*h**3
Expand (-5 + 5 + 8*t)*(7*t**3 + t**3 - 3*t**3).
40*t**4
Expand (1 + 0 - 2)*(2*g - 7*g - 8*g) - 2*g + 2*g - 2*g + 3 - 2*g - 3.
9*g
Expand (6*r**3 + 3*r**3 - 2*r**3)*(r - 2*r - 2*r).
-21*r**4
Expand (3 - 3 + 2*z)*(-1 + 0 + 0)*(0 - 6 - 9)*(-4 - 1 + 3).
-60*z
Expand (0 + s**2 + 0)*(-11*s - 5*s + 3*s).
-13*s**3
Expand -2*a - a - a**2 + 4*a + (-a - 4*a + 2*a)*(-1 + a + 1) + 14*a - 14*a - 2*a**2.
-6*a**2 + a
Expand (0 + 0 - z)*(-4 + 14 - 3)*(3 + 0 - 5)*(0 + 0 - 1)*(-2 + 0 + 1).
14*z
Expand 0 + 0 - b + (2 - 1 + 1)*(5*b + 0*b - 4*b) + 0*b + 3*b - 5*b.
-b
Expand -5*l**4 - 6*l**4 + l**4 + (1 + 0 + 1)*(-15 + l**4 + 15).
-8*l**4
Expand (6 - 4 + 4)*(-5*r**4 + 5*r**4 + 3*r**5).
18*r**5
Expand (26*f - 48*f - 6 + 27*f)*(-2*f**3 + 0*f**3 + 3*f**3).
5*f**4 - 6*f**3
Expand (m**2 - m**2 + 2*m**3)*(-2*m + m + 0*m) - 2*m**4 + m**3 - m**3 - 5*m**4 + 2*m - 2*m.
-9*m**4
Expand (9 - 9 + r)*(-4*r**2 + 5*r**2 - 4*r**2).
-3*r**3
Expand (p - 2*p + 0*p)*(-7 + 7 + 32*p**2).
-32*p**3
Expand -13*h**3 + 10*h**3 + 20*h**3 + (1 + 5 - 5)*(-3*h**3 + 2*h**3 + 2*h**3).
18*h**3
Expand 2*v**5 + 3*v**5 - 4*v**5 + (1 + 2 - 5)*(-4*v**5 - 2*v**5 + v**5) + 0*v**5 - v**5 + 4*v**5.
14*v**5
Expand (6 - 24 + 2*u**2 + 18)*(u + u - u).
2*u**3
Expand (-2*x**2 + 0*x**2 + 5*x**2)*(-2*x + 2*x**2 + 2*x) + (0*x**2 + x**2 + x**2)*(-3*x**2 + 2*x**2 - x**2).
2*x**4
Expand (s + s - 5*s)*(-3*s + 2*s + 2*s)*(-3 + 3 + 2*s).
-6*s**3
Expand (-j**3 + 4*j**3 - 2*j**3)*(2 - 2 + j) + (-1 + 1 + 2*j**3)*(3*j + j - 3*j) - 11*j**4 + 7*j**4 + 20*j**4.
19*j**4
Expand (f + 2*f + f)*(0*f - 2*f + f)*(4*f**2 - 7*f + 7*f).
-16*f**4
Expand (4*j**2 + 0*j**2 + 0*j**2)*(j - j + 3*j**2).
12*j**4
Expand (-2 + 0 + 1)*(13 + 6*s - 23 + 11)*(-1 + 5 - 2).
-12*s - 2
Expand (-4*s**3 + 5*s**3 + s**3)*(2*s - 3*s + 3*s)*(-2 + 5 - 5).
-8*s**4
Expand ((u + 0*u + u)*(-3*u + 2*u - u) - 2*u**2 + 7*u**2 - 3*u**2)*(-7*u**2 + 2*u**2 + 3*u**2)*(2*u + 4 - 4).
8*u**5
Expand (-6*x**2 + 6*x**2 + 4*x**2)*(2*x**2 - 2*x**2 + 3*x**3) - 3*x**5
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) -5
c
What is the smallest value in -2/15, -1, 0.3?
-1
What is the fifth smallest value in 2, -12, 5, 2/3, 0.03?
5
What is the smallest value in 4, 3/10, -0.3?
-0.3
What is the third smallest value in 3, 0.3, -0.09, 1?
1
Which is the third biggest value? (a) -0.4 (b) 46 (c) -4/3 (d) 0.02 (e) -2
a
What is the third smallest value in -182.13, 0, 0.5?
0.5
Which is the fourth smallest value? (a) -5 (b) -0.03 (c) -0.283 (d) -0.4
b
What is the biggest value in 135, 2/5, -1, 2/13?
135
What is the fourth smallest value in 2, 0.4, 0, 11?
11
Which is the third smallest value? (a) 1 (b) -45 (c) 1/2 (d) 0.1
c
What is the fourth biggest value in 3, -0.5, -14/9, 1.4?
-14/9
What is the third biggest value in 42, -8/3, -8?
-8
Which is the biggest value? (a) 0 (b) -5 (c) 115
c
What is the biggest value in 36, 4, -1?
36
Which is the biggest value? (a) -2/5 (b) -1/829 (c) -1
b
Which is the third smallest value? (a) -4/7 (b) -0.3 (c) -31 (d) 4 (e) 5/2
b
Which is the third biggest value? (a) -0.57 (b) -1/8 (c) -2
c
Which is the third biggest value? (a) -1/7 (b) 2.3 (c) 4
a
What is the third biggest value in 5, 3.24, 2/19, -2/9?
2/19
Which is the third smallest value? (a) -0.1 (b) 67 (c) 32
b
What is the third biggest value in -1, 3/7, -3/5, -0.3?
-3/5
What is the smallest value in -0.1, 39/8, -1/3?
-1/3
Which is the second biggest value? (a) -1 (b) -3 (c) 1/37 (d) -0.4
d
What is the biggest value in -0.3, 2, 8/47?
2
What is the second smallest value in 0.061, -0.3, 1/10?
0.061
Which is the third smallest value? (a) 0.5 (b) -3722 (c) 5
c
What is the biggest value in -24, -1, 1/3, 0.03?
1/3
What is the biggest value in -4.4, -5, 0.1, 0.5?
0.5
What is the second smallest value in 3, 0.4, 1580?
3
What is the third biggest value in -0.4, 1/2, 498.3?
-0.4
Which is the second biggest value? (a) 4 (b) 896 (c) -1
a
Which is the third smallest value? (a) 8 (b) -3/23 (c) 0.5 (d) -1/3
c
What is the second biggest value in 1/7, 3.7, -0.3?
1/7
What is the third smallest value in -2, -35/6, 3/2, 0.2?
0.2
Which is the second smallest value? (a) 0 (b) 0.1 (c) -0.3 (d) -0.08
d
Which is the biggest value? (a) 2/3 (b) 4 (c) -9 (d) 0.1 (e) -1
b
What is the fourth smallest value in 2/7, -0.5, -2/15, -0.71?
2/7
Which is the smallest value? (a) 0.4 (b) -0.03 (c) -2/5 (d) 0.1
c
Which is the fourth biggest value? (a) 1 (b) -3 (c) 10 (d) 0 (e) 3/11
d
What is the third biggest value in -0.9, -0.5, 0.04?
-0.9
Which is the smallest value? (a) -3/25 (b) -2 (c) -0.1 (d) -47
d
Which is the second smallest value? (a) 0.5 (b) -39 (c) 2/15
c
What is the third smallest value in 3, -0.5, -763?
3
What is the fifth biggest value in -3/8, -0.007, -4/11, 1, -0.3?
-3/8
Which is the biggest value? (a) 3 (b) -1/2 (c) -26 (d) -0.3
a
What is the fifth smallest value in -5/7, 2/5, -4/19, -2, -4?
2/5
What is the fourth biggest value in -2/5, 9, 3/8, -97, 2/5?
-2/5
What is the second biggest value in -4/9, -0.27, 0.2?
-0.27
Which is the third biggest value? (a) -5 (b) 2 (c) -0.09 (d) 1
c
Which is the third biggest value? (a) -0.3 (b) 14 (c) -2/9 (d) 0.02 (e) 5
d
What is the fourth biggest value in 0.5, -492, 1/3, 3?
-492
What is the third biggest value in 1, 0.2, -0.5, -22.34, 5?
0.2
Which is the second smallest value? (a) 2/5 (b) 5 (c) -33
a
Which is the fourth smallest value? (a) -0.5 (b) -4 (c) 0.37 (d) 0.4 (e) 1/4
c
Which is the second smallest value? (a) -0.3 (b) 0.3 (c) -11 (d) 0
a
Which is the smallest value? (a) -2/11 (b) 0.01 (c) -0.41 (d) -6
d
Which is the second biggest value? (a) -27 (b) -2/23 (c) 2/21
b
Which is the fifth smallest value? (a) -1 (b) 2 (c) -7 (d) 1/10 (e) -4
b
What is the third biggest value in 0.4, -1/34, 226?
-1/34
What is the biggest value in 4, -0.07, 2/7, 5?
5
What is the third biggest value in 0.25, -7/6, -2/3?
-7/6
What is the fourth biggest value in 1, 1/3, 223, -2?
-2
What is the third smallest value in -3, 1/4, -1/33?
1/4
Which is the second smallest value? (a) -2/7 (b) -1/5 (c) 350 (d) -0.5
a
Which is the third biggest value? (a) -0.1 (b) -4 (c) -1388
c
Which is the third smallest value? (a) 112.2 (b) -4 (c) -5
a
Which is the smallest value? (a) 8 (b) -0.4 (c) -1 (d) 3/7
c
What is the smallest value in -2/5, -31, -0.3?
-31
Which is the smallest value? (a) -1/2 (b) -0.3 (c) -6 (d) -0.2
c
Which is the smallest value? (a) 372 (b) 4 (c) 0.04
c
What is the third biggest value in -6, -2/5, -0.54?
-6
Which is the biggest value? (a) -5 (b) 0.5 (c) -27/5 (d) -0.1 (e) -1/7
b
What is the third biggest value in 2, 8/3, 2/41?
2/41
What is the smallest value in -0.25, -0.1, 12, -4, 2?
-4
Which is the second biggest value? (a) -53 (b) 0 (c) 7 (d) 5/4
d
What is the third smallest value in -48, 5, 5/4?
5
Which is the third smallest value? (a) 92.1 (b) -4/5 (c) -4
a
What is the smallest value in 0.2, -0.2, 22/71?
-0.2
Which is the third biggest value? (a) 0.2 (b) -1 (c) -1/3 (d) -1/5
c
What is the biggest value in 7, 0, 5/6?
7
What is the third biggest value in -5, -2, -0.2, -3/26?
-2
Which is the second biggest value? (a) -4 (b) -2 (c) 16 (d) 3
d
Which is the fourth smallest value? (a) 5/2 (b) -1/2 (c) -4 (d) 0.13
a
What is the second biggest value in -3/5, -62, -0.4, 1?
-0.4
Which is the fourth biggest value? (a) 4 (b) 2/11 (c) -2 (d) 1
c
Which is the third biggest value? (a) 1/6 (b) 0.4 (c) 5 (d) -2
a
What is the biggest value in -2/7, -1, -1/43?
-1/43
What is the second smallest value in -1, -5, 0.1, -53?
-5
Which is the second smallest value? (a) 2 (b) -1 (c) 5/2 (d) -4
b
Which is the biggest value? (a) 0 (b) 3.6 (c) 5/3
b
Which is the second smallest value? (a) 2 (b) -1/6 (c) 1.3
c
Which is the fourth biggest value? (a) -0.2 (b) -31 (c) 1/3 (d) 76 (e) -2
e
What is the fourth smallest value in 0.1, -12, 2, 2/11?
2
Which is the second biggest value? (a) -302 (b) -3 (c) -3/2 (d) 4 (e) 2
e
Which is the third biggest value? (a) 3 (b) -2/77 (c) -1/5 (d) -1
c
What is the smallest value in 2/37, 2, 56?
2/37
What is the third smallest value in -15, 1/2, 32?
32
Which is the second biggest value? (a) -15 (b) 1 (c) 0.2 (d) 0 (e) -0.012
c
What is the second smallest value in -0.12, 3/7, 5, 3/2?
3/7
Which is the second biggest value? (a) -3 (b) -1 (c) 3/13 (d) 1
c
Which is the smallest value? (a) -3 (b) 8/5 (c) -1.5
a
What is the third smallest value in -2/15, -8, 5, 0.9?
0.9
Which is the smallest value? (a) -0.1 (b) 2 (c) -1.3 (d) 3
c
What is the smallest value in 7, -0.2, -2/5, 13?
-2/5
What is the second smallest value in 30/11, 0.2, 3/4?
3/4
Which is the second biggest value? (a) 1 (b) -5 (c) -8 (d) -3/4
d
What is the fourth biggest value in -5, -179, -3, 3/4?
-179
What is the biggest value in -0.2, 2/5, 2/7, 13/10, -2?
13/10
Which is the fourth biggest value? (a) -3 (b) -1/6 (c) 7.1 (d) 3
a
What is the biggest value in -5, -2/107, -1/5, -36?
-2/107
Which is the fourth biggest value? (a) 0 (b) -1 (c) -699 (d) -1/5
c
Which is the second smallest value? (a) -1/9 (b) 4 (c) 0.4
c
Which is the smallest value? (a) -5/3 (b) -0.5 (c) 16
a
Which is the third smallest value? (a) -0.3 (b) -3/2 (c) -3 (d) 2
a
Which is the smallest value? (a) -5 (b) 1.2 (c) -3 (d) 5
a
Which is the biggest value? (a) 12 (b) -5 (c) 2/5 (d) -2/15
a
Which is the fourth biggest value? (a) 0 (b) -0.1 (c) -0.33 (d) 5 (e) 0.5
b
What is the smallest value in 5, -2/5, -3?
-3
Which is the fourth biggest value? (a) 3/2 (b) 14 (c) -3 (d) -5/2 (e) -1/4
d
What is the second biggest value in -2/7, -123, 0.3, 5?
0.3
What is the second smallest value in 2/15, -1/2, -2/11?
-2/11
Which is the smallest value? (a) -3 (b) 5/11 (c) 2 (d) -2
a
Which is the biggest value? (a) -0.1 (b) 63 (c) -4/5
b
Which is the fourth smallest value? (a) 2 (b) 2/9 (c) 8 (d) 0.114
c
Which is the fourth smallest value? (a) 1/19 (b) -90/11 (c) 2 (d) -4
c
What is the second biggest value in -2/21, 2.1, 4/7, 5?
2.1
What is the third smallest value in 1, 58, -1?
58
Which is the biggest value? (a) -1/205 (b) 1/3 (c) 1 (d) 3
d
What is the third biggest value in -5, -1, -1/7, -0.0542?
-1
Which is the third smalle
|
{
"pile_set_name": "DM Mathematics"
}
|
se 2.
-1011100100101000011000
-1a5308 (base 16) to base 4
-12211030020
Convert -123416343 (base 7) to base 10.
-7836699
What is 221001 (base 5) in base 14?
2aca
7a92 (base 12) to base 5
414041
Convert -118338 (base 10) to base 14.
-311aa
1132203001 (base 4) to base 10
387265
What is 416a8 (base 14) in base 10?
157732
20204042 (base 5) to base 14
435a6
What is -101011001000101 (base 2) in base 8?
-53105
What is 20021220112 (base 3) in base 8?
361727
Convert cc2c30 (base 13) to base 8.
22250145
-2b2430 (base 12) to base 13
-1c7268
Convert 118da7 (base 15) to base 9.
1520334
-21212011120110 (base 3) to base 9
-7764513
Convert -4212497 (base 12) to base 16.
-be3933
What is -36540 (base 10) in base 15?
-ac60
23105525 (base 6) to base 14
1464b3
Convert -41415202 (base 7) to base 16.
-352681
10938 (base 13) to base 3
1112022220
What is -53355361 (base 7) in base 13?
-c2a238
What is -333033321 (base 4) in base 13?
-90bc1
3a33e (base 16) to base 2
111010001100111110
Convert -365613 (base 8) to base 2.
-11110101110001011
374853 (base 11) to base 5
122420430
What is -10110101100110110001100 (base 2) in base 15?
-7c8340
103212122 (base 4) to base 11
55354
1400210240 (base 5) to base 4
31130000022
Convert 84a676 (base 12) to base 6.
112500230
Convert 24cb27 (base 13) to base 16.
d815e
1244148 (base 9) to base 16
a5ba8
What is 101222010201210 (base 3) in base 12?
1b51249
-112002333331 (base 4) to base 12
-1b28711
What is 15a153 (base 14) in base 2?
10111000111101101101
Convert 81420 (base 10) to base 4.
103320030
Convert -200437 (base 12) to base 15.
-9c98d
What is -1031022223 (base 4) in base 9?
-531514
Convert 24331005 (base 6) to base 3.
1110022122012
Convert 342240 (base 7) to base 6.
1145353
11316213 (base 7) to base 14
1bd07a
What is 4623324 (base 11) in base 4?
132312023012
Convert -516723 (base 8) to base 7.
-1312633
What is 36500613 (base 7) in base 13?
8a2307
What is -100101001110110011010 (base 2) in base 9?
-2258458
-a459c (base 15) to base 6
-15100050
What is 201130210 (base 4) in base 12?
67344
What is 100101011101111 (base 3) in base 2?
10011000000100011010110
Convert 24461 (base 7) to base 3.
22210112
-12b450 (base 12) to base 4
-1023222330
5b684 (base 13) to base 11
105323
What is 2222201221202 (base 3) in base 2?
110000011111111000010
Convert -39390aa (base 13) to base 7.
-305245142
-2243231431 (base 5) to base 8
-23221411
What is -458b0 (base 12) in base 15?
-1c7b3
Convert 8633 (base 11) to base 10.
11410
What is 35851f (base 16) in base 6?
203102211
Convert -2245244 (base 6) to base 14.
-2ddc8
1f3e38 (base 16) to base 13
568c85
What is 379052 (base 10) in base 14?
9c1d2
-b148a2 (base 12) to base 10
-2766074
What is -8554994 (base 10) in base 14?
-11c99d0
What is -100001122201110 (base 3) in base 12?
-1742956
What is -6a2567 (base 15) in base 7?
-61045501
Convert 131242132 (base 5) to base 16.
9e9c3
1665332 (base 7) to base 12
b3a52
Convert -627136 (base 8) to base 9.
-346872
-23001232310 (base 4) to base 14
-55364c
Convert -63201 (base 9) to base 15.
-c561
What is 2203010101 (base 4) in base 9?
1227184
Convert 361241 (base 7) to base 13.
2394b
Convert 3203321123 (base 4) to base 5.
214332332
-2414202102 (base 5) to base 14
-a6287c
What is -1211002112 (base 3) in base 9?
-54075
What is -33501142 (base 6) in base 13?
-298a27
Convert -10255211 (base 6) to base 12.
-127507
What is 121212334 (base 5) in base 16?
8b177
What is 1010222301 (base 4) in base 15?
58510
Convert 120023231 (base 7) to base 16.
712fee
341421 (base 5) to base 16
2f4f
-1289a4 (base 11) to base 13
-71048
What is 40729 (base 12) in base 2?
10100100000010001
-93894 (base 16) to base 3
-1010200221210
What is -12112130 (base 4) in base 5?
-1313022
8da4 (base 15) to base 14
ad67
What is -23134134 (base 5) in base 8?
-627435
Convert 211040433 (base 5) to base 8.
3262062
What is -280502 (base 11) in base 15?
-8a4c7
-13201132 (base 4) to base 10
-30814
-41935b (base 13) to base 10
-1534089
1022332323 (base 4) to base 15
61006
Convert -323140311 (base 6) to base 3.
-101211012221021
122100211 (base 4) to base 10
107557
What is -122022101021 (base 3) in base 11?
-212a96
Convert 1b65439 (base 13) to base 8.
42541733
What is 7822 (base 15) in base 11?
18143
220220211001 (base 3) to base 10
490483
What is 20806 (base 15) in base 12?
4b780
16c2a (base 16) to base 12
45b4a
What is 869599 (base 13) in base 6?
151440554
562344 (base 14) to base 5
1222111002
94a (base 12) to base 13
802
-2d053 (base 14) to base 10
-112577
What is -51b92a (base 13) in base 2?
-111010010011111011110
What is -2231223201 (base 4) in base 15?
-e0bb3
Convert 76f481 (base 16) to base 5.
3443431331
115153145 (base 6) to base 15
2d926b
Convert -5421a (base 11) to base 4.
-103033020
-34314030 (base 5) to base 15
-6112a
-1c6c8 (base 14) to base 6
-1320320
What is 11231310202 (base 4) in base 12?
60316a
What is -213310011321 (base 4) in base 15?
-db2690
Convert 100a22 (base 16) to base 6.
34310310
14124343 (base 5) to base 14
3b0bc
What is -1533513520 (base 6) in base 12?
-66428a0
-21381 (base 11) to base 10
-31065
101100001111010111 (base 2) to base 13
64630
5854537 (base 9) to base 4
30010320331
130530520 (base 6) to base 16
271950
What is 841700 (base 12) in base 14?
3c097a
What is -230d5a (base 16) in base 11?
-13299a4
-22221202110 (base 3) to base 9
-287673
Convert -189868 (base 10) to base 7.
-1420360
What is -1c12c13 (base 13) in base 16?
-8e2bcc
-322155 (base 8) to base 7
-625534
What is 1374c0 (base 13) in base 9?
801073
What is 82e26 (base 16) in base 5?
114123402
406b05 (base 14) to base 7
24305205
-32771 (base 14) to base 8
-356537
What is -6b0190 (base 13) in base 4?
-21230222013
-14b141 (base 12) to base 13
-c39a3
Convert -a19719 (base 14) to base 6.
-312353523
Convert 39351a4 (base 11) to base 16.
67fceb
32011132 (base 4) to base 7
330130
-41992 (base 12) to base 11
-59743
What is 145112002 (base 7) in base 16?
93822a
-361564 (base 8) to base 9
-207685
Convert 11310351 (base 6) to base 16.
55c7b
Convert 2604426 (base 8) to base 7.
6101343
58529 (base 15) to base 9
467763
-101323320 (base 4) to base 6
-1324040
Convert -20021201320 (base 4) to base 16.
-209878
Convert 1357902 (base 10) to base 9.
2488620
-11011010000100110 (base 2) to base 15
-23139
-24321012 (base 5) to base 2
-111000000010000011
Convert 2113 (base 4) to base 12.
107
14a407 (base 13) to base 3
221211002212
What is 403bc (base 16) in base 8?
1001674
Convert 11051403 (base 10) to base 5.
10312121103
Convert -2247d9 (base 14) to base 16.
-11c6db
What is -22011222011 (base 3) in base 2?
-100111010100111110
What is 69439 (base 16) in base 4?
1221100321
Convert -33065 (base 8) to base 13.
-6416
What is -8ac445 (base 14) in base 2?
-10010000000011110001101
cb7 (base 15) to base 10
2872
What is -124781 (base 10) in base 6?
-2401405
Convert 2124203404 (base 5) to base 6.
240532454
What is -1103223032 (base 4) in base 13?
-c0002
What is 3a97 (base 13) in base 10?
8405
-3a9af (base 16) to base 6
-5051155
22301323 (base 4) to base 2
1010110001111011
What is -12e125 (base 16) in base 14?
-242c97
Convert -2033406 (base 7) to base 13.
-86c28
Convert 687127 (base 9) to base 3.
202221010221
-201231130 (base 4) to base 6
-2543124
Convert 6740420 (base 8) to base 6.
102552452
-29159b (base 13) to base 11
-625471
Convert 3410138 (base 9) to base 3.
10110100011022
Convert -10312101 (base 5) to base 12.
-431a9
Convert -280603 (base 10) to base 14.
-74391
What is -3332000044 (base 5) in base 8?
-33653603
Convert 84602 (base 12) to base 14.
4740a
Convert 41446c (base 14) to base 7.
24466365
Convert 33292 (base 15) to base 9.
267022
What is 249a7 (base 11) in base 9?
54111
Convert 211000302 (base 4) to base 15.
2edbc
3238a74 (base 11) to base 5
2424131042
What is 1563555 (base 10) in base 3?
2221102210110
What is -11704167 (base 8) in base 5?
-1130401324
Convert 112230 (base 12) to base 15.
55ed3
Convert 246162 (base 7) to base 16.
b139
Convert -126fa (base 16) to base 12.
-3784a
Convert -40272 (base 11) to base 3.
-2222202221
Convert 146603 (base 7) to base 13.
1012a
-78500a2 (base 11) to base 5
-12010401102
Convert -16260205 (base 7) to base 5.
-400440220
Convert -dbd08d (base 14) to base 10.
-7450085
What is -136949a (base 14) in base 13?
-1c41213
1002012
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let h be m(-5). Let g = h - -14. Let w be (g/(-4))/(6/12). What is the greatest common factor of 7 and w?
7
Suppose -4*s = -2*s - 6, j - 7 = -2*s. What is the greatest common divisor of j and 2?
1
Let x(r) = 34*r**2 + r. Let o be x(1). Let n = 134 + -57. Suppose -11*u + 0 = -n. What is the highest common factor of u and o?
7
Let s be ((-164)/123)/((9/3)/(-99)). Calculate the highest common factor of 297 and s.
11
Let r = 52 + -22. Let c = -19 - -64. Calculate the highest common factor of r and c.
15
Suppose -3*l - 4*l = -2184. Calculate the greatest common divisor of l and 24.
24
Suppose -7*q - f + 643 = -2*q, -524 = -4*q - 4*f. Calculate the greatest common factor of 24 and q.
8
Let h be 4284/162 + 4/(-9). Calculate the greatest common factor of h and 143.
13
Suppose -5*g - 40 = -4*d, 5*d + 7*g - 2*g - 95 = 0. Let y = -40 - -42. Suppose y*s = 3*h - 12, -h = -3*s + s. What is the highest common factor of d and h?
3
Suppose -18*s = 57 - 147. Suppose j + j - 80 = 0. What is the highest common factor of j and s?
5
Suppose 0 = -q - 3*x + 14, -q - 4*x = -2*q. Let z = -14 + q. Let i be (-8)/z*(0 + 9). Calculate the greatest common factor of i and 12.
12
Let p = 54 - 44. Suppose -u - 2*y = -8, -4*y - 15 = 3*u - 41. What is the highest common divisor of p and u?
10
Let m be (-31 + 70)*3/9. Calculate the greatest common factor of 247 and m.
13
Let n(s) = 123*s**2 + 9*s + 15. Let w be n(-3). What is the highest common factor of 15 and w?
15
Suppose 0 = -3*c + 2*l + l + 141, -c + 4*l + 56 = 0. Calculate the highest common divisor of c and 110.
22
Let u = 3 - 179. Let z be u/(-24) + (-4)/(-6). What is the highest common factor of 8 and z?
8
Let i = -279 - -314. Calculate the greatest common factor of 168 and i.
7
Suppose 2652 = -26*n + 78*n. Calculate the greatest common factor of 17 and n.
17
Let z(w) be the third derivative of -w**4/3 - 2*w**3/3 - 23*w**2. Let p = 7 - 10. Let f be z(p). Calculate the greatest common factor of 8 and f.
4
Let x(h) = -70*h - 40. Let g be x(-5). Let q = g - 205. What is the greatest common divisor of q and 15?
15
Let q(t) = 2*t + 1. Let d(n) = 36*n + 32. Let m(r) = d(r) - 20*q(r). Let o be m(-5). Calculate the greatest common factor of 32 and o.
32
Suppose 863 = 19*x + 407. Calculate the greatest common divisor of 444 and x.
12
Let y be (4 - 0)*(-3 - 225/(-36)). Calculate the highest common divisor of 104 and y.
13
Let v = -135 + 137. Let h be (15/6)/((v + -7)/(-40)). Calculate the greatest common divisor of 20 and h.
20
Suppose 76 = c - 4*s, 4*c + 157 = -5*s + 503. Calculate the greatest common divisor of 714 and c.
42
Let v(g) = 32*g - 300. Let m be v(10). What is the highest common divisor of 8 and m?
4
Let r(g) be the first derivative of 2*g**3 + 2*g**2 - 4*g - 25. Let t be r(-5). Calculate the highest common divisor of 14 and t.
14
Suppose -d + a = -156, -4*d - d + 778 = -4*a. What is the greatest common factor of 28 and d?
14
Let o(n) = 6*n - 72. Let l be o(24). Suppose 0*q - 225 = -5*q. Suppose 2*b - q = -3*b. Calculate the greatest common divisor of b and l.
9
Let w = 19 + -7. Let c(b) = b**2 - 10*b - 14. Let y be c(w). Calculate the highest common divisor of 20 and y.
10
Suppose 5*x = 1 + 4. Suppose 8*g = 3*g - 10. Let z be 72/45*(-5)/g. Calculate the highest common divisor of z and x.
1
Let y(k) = -2*k**2 - 4. Let p be y(-10). Let h = -303 - p. Let z be 0 + 1 + -2 - h. What is the greatest common factor of 14 and z?
14
Suppose -5*x + 2*d - 14 = -75, 0 = -5*x + 5*d + 70. Let g = 532 - 433. Calculate the greatest common divisor of g and x.
11
Suppose 634 = 4*z - k, -k + 6*k = 3*z - 484. Let s = z - 128. What is the greatest common divisor of 18 and s?
6
Let f(a) = -3*a**3 - 2*a**2 + 1. Let m be f(-1). Suppose 46*h - 10 = 41*h. Calculate the greatest common factor of m and h.
2
Suppose 129*j = 128*j + 65. Calculate the greatest common divisor of 39 and j.
13
Let u(l) = 3*l**3 - l**2 - 4. Let h be u(3). Let q be 26/(-39) + (-106)/(-6). Calculate the highest common factor of h and q.
17
Let q be 2 - 51/(-1) - -1. Suppose 3*u = -0*u + 261. Suppose -32 = -2*j + 4*x, -4*j - j + u = -3*x. What is the highest common divisor of j and q?
18
Suppose 0 = v - 51 - 39. Let f be 119/4 - (-8)/32. Calculate the greatest common factor of v and f.
30
Let m = -63 + 143. Suppose -6*k = -k - m. Calculate the greatest common divisor of 176 and k.
16
Let m = 20 + -24. Let p be (m - -3)*2 - 10. Let x be (p/9)/(6/(-27)). Calculate the highest common factor of 6 and x.
6
Let r(c) = c**2 + 15*c + 14. Let s be r(-14). Let p be s - -4 - 167/(-1). What is the highest common factor of p and 19?
19
Suppose 162 = 4*m - 4*b + 50, 0 = -3*b + 15. Let p be 4 + (-2)/1 - 31. Let q = p + m. What is the highest common factor of 6 and q?
2
Let o be (-24)/(8/2) + 5. Let c(d) = -27*d - 3. Let y be c(o). Calculate the greatest common divisor of 120 and y.
24
Let q(r) = r - 2. Let l be q(6). Let m be 198/45 - l/10. Suppose 35 = m*d + d. Calculate the highest common divisor of d and 49.
7
Let u be (-340)/4*(-1 - (-20)/16)*-4. Let f = -197 - 45. Let n be f/(-14) - (-4)/(-14). Calculate the highest common divisor of n and u.
17
Let z = -980 + 1929. What is the highest common factor of 13 and z?
13
Suppose -73 = -5*x + 97. Calculate the highest common factor of 782 and x.
34
Suppose 9*c = -4*c + 468. Let l(g) = -7*g**3 - 7*g**2 - 7*g - 4. Let b be l(-4). What is the highest common factor of c and b?
36
Suppose -6 - 5 = -q. Let p(s) = -s**2 - 23*s - 31. Let j = 26 + -39. Let h be p(j). Calculate the greatest common factor of h and q.
11
Let g(b) = 122*b - 1340. Let l be g(11). Suppose -3*k + k + 16 = 0. What is the greatest common divisor of l and k?
2
Let y = 23 - 13. Let c = y - 4. Let u be (64/c)/(20/150). What is the greatest common divisor of 10 and u?
10
Suppose 0 = 4*s - s - 45. Let v = -13 - -47. Suppose -t + 9 = 3*i, v = 2*t - 0*t - 2*i. Calculate the highest common factor of t and s.
15
Let x(c) = c**3 - 8*c**2 - 10*c + 11. Let l be x(9). Let g be l - (-13)/((-26)/(-60)). Calculate the greatest common factor of 256 and g.
32
Let q be (-2 - 1) + -24 + 25 + 95. What is the highest common divisor of q and 465?
93
Suppose -7*c = -2*c. Suppose c = -12*k + 2*k + 320. Let r be 4 - (-2 + 2)/(-1). Calculate the greatest common factor of k and r.
4
Let c(d) = 11*d**2 + 2*d + 3. Let r be c(-5). Suppose -4*i + r - 44 = 0. Calculate the greatest common divisor of 7 and i.
7
Suppose 6 + 9 = -3*n. Let s(h) be the first derivative of -13*h**2/2 - 10*h + 11. Let d be s(n). Calculate the highest common factor of 22 and d.
11
Let d(u) = 3*u**2 + 28*u - 19. Let j be d(-20). Calculate the highest common factor of 27 and j.
27
Let i be 30/(-80) + 765/120. Let y(q) = -q + 9. Let l be y(0). Calculate the highest common factor of i and l.
3
Suppose 242 = -4*n + 6*n. Suppose 2*h + 2*h = 44. Calculate the highest common divisor of n and h.
11
Let o = 459 - 305. Suppose 5*w = -2*w + o. What is the highest common factor of w and 22?
22
Let w be 2/(45/(-270) - 13/(-42)). What is the greatest common factor of 434 and w?
14
Suppose 2*h - 4 = -4*d, -2*d - 3 = -5*h + 31. What is the highest common divisor of 4 and h?
2
Suppose 4*r + 7 = -1. Let d(f) = -2*f**3 + 4*f**2 + 4*f + 3. Let s be d(r). Let h = 44 + -26. What is the highest common factor of s and h?
9
Suppose 4*d = 14 + 30. Let b(w) = -14*w**2 + w - 2. Let x be b(3). Let p be (-40)/10 + x/(-1). What is the greatest common divisor of p and d?
11
Let g = 220 - -116. Calculate the greatest common divisor of g and 196.
28
Let a(c) = -4*c**2 + 8*c + 252. Let m be a(0). Calculate the greatest common factor of 1848 and m.
84
Let w be (-2 - (-3 + -1 + 5))*-13. Calculate the highest common divisor of w and 273.
39
Let y(q) = 2*q - 52 - 4*q + 20. Let o be y(-20). What is the highest common divisor of o and 48?
8
Let a = 219 - 74. What is the highest common divisor of 58 and a?
29
Suppose -2*g = -5*j + 41, -5*j - 2*g = -3*g - 38. Suppose 19 = 2*f - j. What is the greatest common divisor of 52 and f?
13
Let i(a) = -a**3 - 14*a**2 - 19*a + 69. Let j be i(-12). Suppose 3*f - 399 = 5*t - 112, 0 = -4*f + 5*t + 386. Calculate the greatest common divisor of j and f.
9
Let o be (-6)/4*23520/(-144). What is the greatest common factor of o and 70?
|
{
"pile_set_name": "DM Mathematics"
}
|
*m - 2*m - 5*m).
132*m**2
Expand 0*s**5 + 2*s**5 + 5*s**5 + 9*s**5 + 14*s**5 - 16*s**5 + (s**2 - s**2 - 2*s**4)*(-s + 4*s + 0*s) + 2*s**3 + s**5 - 2*s**3.
9*s**5
Expand (f - 2*f + 0*f)*(6*f**3 - 6*f**3 - 6*f**4) + (1 - 1 + 2)*(3*f**4 - 5*f**5 - 3*f**4) - 2*f**5 + f**4 - f**4.
-6*f**5
Expand (0*o**3 - o**3 + 0*o**3)*(1 + 279*o - 339*o - 2).
60*o**4 + o**3
Expand (1 + 2 - 2)*(-9 + 9 - 24)*(-4*r + 4*r + r) + (r - 4*r + r)*(-4 - 3 + 5).
-20*r
Expand (-2 - g + 2)*(4 - g - 4)*(-1 + 2*g**2 + 1) + (-2*g**2 + 3785*g - 3785*g)*(-2*g**2 + 0*g**2 + 0*g**2).
6*g**4
Expand (4*o + 2*o - 5*o + (3 - 2 + 0)*(290*o + 238*o - 310*o))*(2 - 4 + o - 2).
219*o**2 - 876*o
Expand (26 + 31*s - 26)*(6*s - 3*s - 5*s)*(0*s - 2*s + 3*s).
-62*s**3
Expand 2*b**5 + 4*b**4 - 4*b**4 + 5*b**5 + 3*b**5 - 2*b**5 + (-b + b - 3*b)*(0*b**4 + 0*b**4 + 3*b**4) - 5*b**5 + 0*b**5 + 3*b**5.
-3*b**5
Expand (-7*o**2 - 2*o**3 + 7*o**2)*(7*o - 4*o - 4*o)*(6 + 5 - 2)*(4 - 1 - 1).
36*o**4
Expand (-4 + 0 - 1)*(-4*t + 4*t + t**2)*(-4*t + 4*t + 4*t).
-20*t**3
Expand (-c + 0*c + 2*c)*(-3 + 3 - c**2)*(2 - 5 + 2*c**2 + 4).
-2*c**5 - c**3
Expand 0*p**4 - 3*p**4 + p**4 + (78 - 78 - 125*p)*(-4 - 2*p**3 + 4).
248*p**4
Expand (-p**3 + 3*p**3 - p**3)*(-455 - 11*p + 455) + 2*p**4 - 3*p**4 + 4*p**4 + (3 - 4 + 3)*(-4*p**4 + p**4 + p**4).
-12*p**4
Expand -4*a**2 + 0*a**2 + 6*a**2 + (2*a + 1 - 1)*(4*a + 2*a - 4*a) - 4*a**2 + 6*a**2 - a**2.
7*a**2
Expand -52*x**4 - 62*x**4 - 54*x**4 + (0*x + 4*x - 2*x)*(0*x**3 + 2*x**3 - x**3).
-166*x**4
Expand -4 + 4 + 2*k**2 + (-6*k - 1 + 1)*(0 + 0 + 2*k)*(0 - 4 + 5).
-10*k**2
Expand (2*w + 3 - 3)*(-3 + 4 + 2) - 1 + 2*w + 1 + w - 3*w + 4*w + 2*w + w + w - 3 + 3*w + 3.
17*w
Expand 3*u**5 - u**4 + u**4 + (-4*u**2 - 3*u**2 + 6*u**2)*(4*u - 6*u**3 - 4*u).
9*u**5
Expand (0 + 4 + 3)*(2*y + 1 - 1) - 4 - y + 4 + (-2 + 0 + 3)*(-5*y + 3*y + 4*y) + y + 0*y + y.
17*y
Expand -2*y + 0 + 0 + (-3 - 2 + 3)*(-2*y - y + 2*y) - y - y + 4*y - 52*y + 128 - 128.
-50*y
Expand -2*x**3 + 0*x**3 + 0*x**3 + x**3 - 195*x + 195*x + (x**2 - 3*x**2 + 3*x**2)*(5*x - 3*x - 3*x) + x**3 - x**3 - 2*x**3.
-4*x**3
Expand (-1 + 1 + 1 - 2 - 1 + 2 + (-1 + 1 - 1)*(2 + 5 - 5) - 6 + 2 + 1)*(53 + 62*h - 53).
-310*h
Expand (8 + 12 - 4)*(2*y**3 - 5*y**3 + 6*y + 5*y**3).
32*y**3 + 96*y
Expand (0*l**2 + 0*l**2 - l**3)*(-3 + 1 - 2)*(3 + 0 - 2)*(136*l**2 + 14220*l - 14220*l)*(-1 + 4 - 2).
544*l**5
Expand (-5*b**3 + 10 - 10)*(4 + 34*b - 4) + 3 - 3 + b**4 + 0*b**4 - b**4 - b**4 + (-b**2 + 4*b**2 - b**2)*(2*b - 2*b**2 - 2*b) + 5*b**4 + 0*b**4 - 3*b**4.
-173*b**4
Expand -6*f - 1 - 2 + 2 + (3 - 2 + 3)*(2*f - f + 2*f) + 2*f + 5*f - 5*f.
8*f - 1
Expand ((-8 + 2 - 1)*(l - 5*l + 3*l) + 2*l - 4 + 4 - 3*l + l - 3*l)*(-1 + 0 + 2).
4*l
Expand -8*a**2 + 3*a**2 + 12*a**2 + 4*a**2 - a**2 - a**2 - a**2 - a + a + (-2 + 0 + 3)*(-2*a**2 + 2*a - 2*a) - 3 - 2*a**2 + 3.
4*a**2
Expand (0 - 8 + 3)*(4*u**2 - 6*u**2 + 3*u**2).
-5*u**2
Expand (-6*k + 4*k + 0*k)*(-29*k + 184 + 29*k + 6*k).
-12*k**2 - 368*k
Expand (25 + 27 - 6)*(k**4 + 0*k + 0*k)*(4 - 4 - 3*k).
-138*k**5
Expand 3*c - 4*c - c + (-5 - 2 + 5)*(-c + 0*c + 5*c) + 4*c + 3 - 3.
-6*c
Expand ((-2 - 3 + 4)*(3 - 12 + 6) - 5 + 3 + 4)*(-2*t**2 - t**2 - 3*t**2).
-30*t**2
Expand -u**3 + 0*u**3 - 2*u**3 + (0*u**2 + 2*u**2 - u**2)*(-2*u + 6*u - 2*u) + 34*u**3 - 37*u**3 - 4 - 4.
-4*u**3 - 8
Expand (3 - 6 - 2)*(3 - 1 - 3)*(-1 - 3 + 0)*(-l + 9*l + l).
-180*l
Expand 2*g**3 - 2 + 5*g**3 - 5*g**3 - 2*g**2 - g**3 + 2*g**2 + (-g + 2*g + g)*(-3*g**2 + 2*g**2 + 0*g**2) + 0*g**3 - 4*g**3 + 2*g**3 - 263 + 23*g**3 + 263.
20*g**3 - 2
Expand (-35*q**4 - 62*q**4 + 65*q**4)*(0 + 2 + 0) + (0 + 0 - 2*q**2)*(-3*q**2 + 2*q**2 + 2*q**2).
-66*q**4
Expand (2*p - p + p)*(137*p + 148*p - 345*p).
-120*p**2
Expand (8*a**3 - 19*a**3 + 21*a**3)*(6 - 2 - 2 + (-2 - 1 + 1)*(4 + 3 - 6) - 5 + 1 + 3).
-10*a**3
Expand (0*z + 2*z**4 + 0*z)*((-2*z + 1 - 1 + 4 - z - 4 + (0 + 1 - 4)*(0 + 0 + 2*z))*(2 + 1 - 1) + z - z - 2*z + (-4*z - z + 4*z)*(-1 + 1 - 1)).
-38*z**5
Expand (19 + 2*x - 4 - 5)*(0*x**2 - x**2 + 2*x**2).
2*x**3 + 10*x**2
Expand -2*c + 2*c + 4*c + (-6 + 2 + 3)*(-6 + 18 + 4)*(-1 + 3 - 3 - c).
20*c + 16
Expand (-3*n + 3*n - 2*n)*(65*n - 52*n - 68*n)*(-4*n**2 + n**2 + 5*n**2 + (-1 + 1 - 2*n)*(2 - 2 + 2*n)).
-220*n**4
Expand (2*m - m + m)*(0 + 0 - m**4) + 37*m**5 + 17*m**4 + 21*m**5 - 17*m**4.
56*m**5
Expand (-2*o + 3*o + 0*o)*(1336 - 648 - 485 - 1228).
-1025*o
Expand 0*u**3 - u**3 + 4*u**3 + (0 + 0 + 2*u**3)*(-2 - 1 + 5) + 23*u**3 - 14*u**3 - 61*u**3.
-45*u**3
Expand (-3*d**2 - 2*d**2 + 3*d**2)*(47 - 45 + 2*d**3 + 12*d**2 + 35*d**2).
-4*d**5 - 94*d**4 - 4*d**2
Expand z**3 - 2*z**3 + 0*z**3 + (2*z**2 - 2*z**2 - 2*z**2)*(0*z + 0*z + z) - 15*z**3 + 6*z**3 - 10*z**3 + (1 - 4 + 2)*(-3*z**3 + 0*z**3 + 4*z**3).
-23*z**3
Expand (-g**2 + 2*g + 3*g**2 + 2 + 0*g)*(-4972*g - 12*g**3 + 4972*g).
-24*g**5 - 24*g**4 - 24*g**3
Expand (15*d**2 - 7*d**2 + 8*d**2)*(0*d + d + 2*d**3 + d).
32*d**5 + 32*d**3
Expand (-156 + 2*v**2 + 62 + 50)*(3*v**2 + 0*v + 0*v).
6*v**4 - 132*v**2
Expand (-209*o**3 + 209*o**3 + 3 - 39*o**4)*(2 - 1 + 2).
-117*o**4 + 9
Expand (2 + 0 + 0)*(5*k + 4*k - 3*k + (6*k + 4*k - 6*k)*(-1 + 2 - 2) + k + 3*k - 3*k).
6*k
Expand (-z + 51 - 51 + (-z - 3 + 3)*(4 - 6 + 3))*(9*z**2 - 10*z + 10*z)*(-3*z + 6*z - z).
-36*z**4
Expand (-47239 + 47239 + 315*k)*(1 - 3 + 1)*(-1 + 3 - 1).
-315*k
Expand (7 + 8 + 8)*(40*k**5 - 6*k**5 + 19*k**5).
1219*k**5
Expand 5452 + 2*d - 5452 + 253*d**4 + (3 - 4 + 0)*(0*d + 2*d**4 + 0*d).
251*d**4 + 2*d
Expand ((2 + 1 - 2)*(r**2 + 5*r**2 - 7*r**2) - r**2 + 6*r**2 - 2*r**2 - 6*r**2 + 4*r**2 + 3*r**2)*(r + r + r).
9*r**3
Expand (0*o**2 + o**4 + 0*o**2)*((-3 + 2 - 1)*(o - 4*o + 2*o) + 30*o - 57*o - 66*o).
-91*o**5
Expand 4*v - 4*v + v + (2 + 7 - 4)*(5*v + v - 7*v).
-4*v
Expand 419 - 419 - 28*q - 2*q + 2 - 2 + (q - 2*q - q)*(1 - 1 + 2) + 0*q - 2*q + 4*q + 5 + 5*q - 5.
-27*q
Expand (-3 + 6 - 2)*(8*c**2 - 10*c**2 - 4*c + 174*c).
-2*c**2 + 170*c
Expand (-3 + 0 + 4)*(588*a + 985*a + 722*a - 126*a - 185*a).
1984*a
Expand (2 + 1 - 6)*(-1 - 1 + 4)*(-1 - 2 + 2)*(-2*l - 2 + 2).
-12*l
Expand (-2*a**2 + 5*a**2 - 5*a**2)*(-3*a + 3*a + 2*a)*(144 - 28 - 77*a + 76*a).
4*a**4 - 464*a**3
Expand (-5*v + 2*v + v)*(1 - 3 + 7)*(-13 - 2 + 29).
-140*v
Expand (-3*w**2 - 10*w**2 + 7*w**2)*(-3 + 34 + 2)*(3*w**2 + 2*w**3 - 3*w**2).
-396*w**5
Expand (3*o - 10*o - 3*o)*(-4*o + 3*o + 3*o) + 0*o**2 - 3*o**2 + o**2.
-22*o**2
Expand (0 + 2 + 0)*(16*y - y + 0*y + (-2 + 1 - 6)*(2*y - y + 0*y)).
16*y
Expand (-24 + 24 + 2*r)*(3*r**2 - 3*r**2 + r**2) - 3*r**3 + 2*r**3 + 0*r**3 - r**2 + r**2 - 3*r**3.
-2*r**3
Expand (21 - 21 - 9*t**2)*(-4 + 0 + 3)*(8 - 7 - 8).
-63*t**2
Expand ((2 - 6 + 3)*(4*m**2 - 2*m**4 - 4*m**2) + 3*m**4 + 0*m + 0*m)*(-100 + 262 - 101).
305*m**4
Expand -h**2 + 2*h**2 + 0*h**2 + (-6*h**2 + 3*h**2 + 5*h**2)*(3 + 2 - 3) + (-1 - 3 + 5)*(2*h**2 + 0*h**2 - 4*h**2).
3*h**2
Expand (-4*r + 3*r - 2 + 2*r)*(61*r - 61*r - 32*r**3).
-32*r**4 + 64*r**3
Expand (-3*m**2 + 2*m**3 + 3*m**2)*(-87 - 68 + 191)*(-3 - 2 + 2).
-216*m**3
Expand 7*z**4 + z**3 - z**3 + (-6*z + 2*z + 3*z)*(2*z**2 - 2*z**3 - 2*z**2) + z + 3*z**4 - z + 1 + z**4 + 55*z - 55*z - 5*z**2.
13*z**4 - 5*z**2 + 1
Expand -2*g**3 + 0*g**3 - g**3 + (-1 - 1 + 0 + (1 + 3 - 6)*(3 - 2 + 1) + 3 + 1 - 2)*(-124*g**2 + 124*g**2 + 174*g**3).
-699*g**3
Expand (9 - 9 - 5*h**2)*(0 - 2*h**3 + 0) + (h**3 + 2*h**3 - h**3)*(-5*h**2 - 7*h**2 - 5*h**2).
-24*h**5
Expand (37*c**3 + 76*c**3 - 36*c**3)*(c**2 - 2 + 2 + (0 + 2*c + 0)*(c + 3*c - 5*c)).
-77*c**5
Expand (256 - 266 + 10*r - 12*r)*(5 - 1 - 3).
-2*r - 10
Expand (3*l**2 - 6615 + 0*l**2 + 6493 + l)*(-5 - 2*l + 5).
-6*l**3 - 2*l**2 + 244*l
Expand (71 + 17*d - 71)*(0 - 4 + 3 + (-3 + 1 + 3)*(-4 + 4 - 1) - 3 - 1 + 2 + (0 - 4 + 1)*(-8 + 3 + 11) - 4 + 2 + 0).
-408*d
Expand (-o - 2*o + 2*o)*(181*o**2 + 170*o**2 - 598*o**2).
247*o**3
Expand (x**5 - 3*x**5 + 0*x**5)*(6 - 4 - 3) - 2564*x**2 + 2564*x**2 + 1202*x**5 + 656*x**5.
1860*x**5
Expand (-95*a - 318*a + 39*a + 2*a + 2*a - 3*a + (3*a - a - a)*(0 + 3 - 1) - 4 - a + 4)*(-3*a**2 - a**2 + 3*a**2).
372*a**3
Expand (-15 - 13*a + 15)*(5*a**3 - 5*a**3 + 4*a**4 + (2*a**2 - 5*a**2 + a**2)*(-3*a**2 - a**2 + 2*a**2) + a**3 - a**3 - a**4).
-91*a**5
Expand (0 + 0 - 3*z**4)*(-2 + 3 + 1) - z**3 + 2*z**4 + z**3 - 10*z**4 + 8*z**4 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
1111000120212?
-1111000120202
In base 2, what is -11111101001 - -1011?
-11111011110
In base 15, what is -59 - 204?
-25d
In base 10, what is 240 - -4043?
4283
In base 11, what is 50 + -9578?
-9528
In base 11, what is 1141105 + -1?
1141104
In base 11, what is 5 + -33791a?
-337915
In base 2, what is -1001000101101101000000 - 101?
-1001000101101101000101
In base 14, what is 16887 - -b?
16894
In base 4, what is 3 + -110323?
-110320
In base 11, what is 731 - -6?
737
In base 14, what is -2 - 5ca?
-5cc
In base 16, what is -1203ec - 4?
-1203f0
In base 8, what is -4 - -4045?
4041
In base 12, what is -4a51 + -5?
-4a56
In base 15, what is -1e5b4 - 19?
-1e5cd
In base 3, what is 10010221100000 - 10?
10010221022220
In base 2, what is 1 - -10000100001101010?
10000100001101011
In base 7, what is -34 - -433?
366
In base 7, what is -1464346 - -2?
-1464344
In base 4, what is -1132210332 + 0?
-1132210332
In base 10, what is -80 - -955?
875
In base 16, what is 2 - -6a9a?
6a9c
In base 12, what is 1 + 640?
641
In base 12, what is -2b - -a8a5?
a876
In base 6, what is -115 - 20304?
-20423
In base 2, what is 0 - -101001101110001110100?
101001101110001110100
In base 8, what is 1 - -37403?
37404
In base 6, what is 2535 + 101244?
104223
In base 10, what is -1 - 15057?
-15058
In base 12, what is -8a03 + 3?
-8a00
In base 14, what is -4 - -12711c?
127118
In base 5, what is -14312 - 0?
-14312
In base 16, what is 3f1 + b?
3fc
In base 13, what is a64ac - 2?
a64aa
In base 4, what is 10 + -11313302?
-11313232
In base 7, what is 13414 + 24?
13441
In base 5, what is -4031 + -1112?
-10143
In base 10, what is -2846 + -642?
-3488
In base 5, what is -43 - 3143?
-3241
In base 4, what is 333 - -3200?
10133
In base 8, what is 27 - 243?
-214
In base 14, what is -9 + -1cd2b?
-1cd36
In base 8, what is -176 + -33130?
-33326
In base 15, what is e - 15b7?
-15a8
In base 9, what is 3122 - 277?
2734
In base 13, what is -3 + -145cb4?
-145cb7
In base 5, what is -10 - -11110?
11100
In base 3, what is 110110101021 - -2?
110110101100
In base 5, what is 134 - 1321300?
-1321111
In base 12, what is 634b - -3?
6352
In base 10, what is 0 + 5488?
5488
In base 4, what is 12 - -212000?
212012
In base 15, what is 149c - 4?
1498
In base 4, what is -11003 + 10103?
-300
In base 13, what is 2767 + -88?
26ac
In base 5, what is -204040 - -11?
-204024
In base 15, what is -4 - 40255?
-40259
In base 10, what is -3 - -3885?
3882
In base 14, what is -146 - -48?
-dc
In base 13, what is -59 + 1b69?
1b10
In base 13, what is 8c7b - -19?
8c97
In base 3, what is 22 + 110002222?
110010021
In base 4, what is -1013322 + -322?
-1020310
In base 11, what is -11a7a + 8?
-11a72
In base 8, what is -62 - -1623?
1541
In base 11, what is -16a428 + 4?
-16a424
In base 2, what is -1 - 101000010101100011?
-101000010101100100
In base 13, what is -2a398b + -5?
-2a3993
In base 13, what is -91c23 - -3?
-91c20
In base 14, what is -85360 + -8?
-85368
In base 12, what is -3 + -1748?
-174b
In base 7, what is -541264 - -2?
-541262
In base 2, what is -1110 + 101100111100101?
101100111010111
In base 7, what is -2 - 54511?
-54513
In base 3, what is 210 - -20220?
21200
In base 6, what is -12 + -404341?
-404353
In base 10, what is 4812927 + 2?
4812929
In base 8, what is -1 - 4167?
-4170
In base 6, what is 313114 - -2?
313120
In base 7, what is -3 - 266325?
-266331
In base 14, what is -2d4 - -a5?
-22d
In base 16, what is 2a7673 + -5?
2a766e
In base 6, what is 5002 - 531?
4031
In base 9, what is -2354 + 1?
-2353
In base 11, what is 143aa3 - 5?
143a99
In base 8, what is 231 + 1305?
1536
In base 3, what is 102100201111 + -111?
102100201000
In base 6, what is -10 - -3344334?
3344324
In base 7, what is -2601 + -112?
-3013
In base 10, what is -30 + -36035?
-36065
In base 8, what is 2506 + -1?
2505
In base 13, what is 1c - 5c89?
-5c6a
In base 14, what is -274 - 1b05?
-1d79
In base 3, what is -2221010100 - 0?
-2221010100
In base 15, what is 13b - 26?
115
In base 10, what is -1 - -6962?
6961
In base 12, what is a545 - 22?
a523
In base 7, what is -2 - 166643?
-166645
In base 12, what is -9835a + -23?
-98381
In base 12, what is 10 - -2a23?
2a33
In base 10, what is 11 - -21926?
21937
In base 5, what is -22300023 + -1?
-22300024
In base 12, what is 33a90 + -11?
33a7b
In base 13, what is 12193 + 3?
12196
In base 4, what is -32112123 - -11?
-32112112
In base 11, what is -176a8 + -7?
-17704
In base 8, what is 41437 + -46?
41371
In base 15, what is 11b + -15e?
-43
In base 7, what is 155403 + -13?
155360
In base 8, what is 15457 + 6?
15465
In base 4, what is 301011122 - 30?
301011032
In base 6, what is 44 - -1322?
1410
In base 3, what is 1101120100121 + 10?
1101120100201
In base 15, what is -13542d - -1?
-13542c
In base 2, what is 0 - 101110000001100?
-101110000001100
In base 8, what is 75 + -127506?
-127411
In base 11, what is 2 + -5068?
-5066
In base 5, what is -204400342 - -1?
-204400341
In base 11, what is -2a + -30846?
-30875
In base 2, what is -1100000110001100 + -10110?
-1100000110100010
In base 3, what is 10022210000 + -1?
10022202222
In base 16, what is 1a - 9a6?
-98c
In base 10, what is 4 - 812571?
-812567
In base 15, what is a8 + -62?
46
In base 7, what is 14 + -4561?
-4544
In base 7, what is 2 - -120?
122
In base 14, what is -1 + 24c243?
24c242
In base 3, what is -2011101 - 2?
-2011110
In base 7, what is 33362 - 23?
33336
In base 16, what is 843e - 0?
843e
In base 13, what is -979 + -4b?
-9c7
In base 5, what is -310414 - -32?
-310332
In base 4, what is -2033 - -11313031?
11310332
In base 7, what is 51002 + 0?
51002
In base 6, what is 1 + -313202?
-313201
In base 2, what is -100001010001101 + 1011?
-100001010000010
In base 14, what is -22102 + 5?
-220db
In base 5, what is 24 - 3120?
-3041
In base 16, what is 656 + -1d?
639
In base 12, what is 2 - 943b?
-9439
In base 12, what is 27 + -1a15b?
-1a134
In base 14, what is 8d1 + -35?
89a
In base 2, what is 110001110 + 1010001011?
10000011001
In base 15, what is -5 - -244c5?
244c0
In base 9, what is -6051 + -257?
-6318
In base 12, what is -5b - -264?
205
In base 10, what is 178665 + 4?
178669
In base 7, what is -3242 - -1?
-3241
In base 13, what is -1 + -11112?
-11113
In base 14, what is 24 + 6d7d?
6da3
In base 8, what is 232475 - 17?
232456
In base 14, what is 2b00 + 0?
2b00
In base 6, what is -11 - 2041?
-2052
In base 11, what is 482 - 22?
460
In base 8, what is -16551 + 1455?
-15074
In base 10, what is 5649 - 90?
5559
In base 11, what is -1 - -a840?
a83a
In base 15, what is -402 + -19?
-41b
In base 5, what is -110310 - 13?
-110323
In base 12, what is 5 - 147905?
-147900
In base 11, what is 133 - 5a?
84
In base 13, what is 7 + -130700?
-1306c6
In base 2, what is -110000 + -111111001111?
-111111111111
In base 2, what is 1101001100111010 - 10001?
1101001100101001
In base 8, what is -23740 - 4?
-23744
In base 12, what is -26a6 + -31?
-2717
In base 6, what is 120124324 - 1?
120124323
In base 13, what is -a4026 - 3?
-a4029
In base 4, what is -11 + 102222130?
102222113
In base 15, what is 0 + 8854?
8854
In base 12, what is a900 - 7?
a8b5
In base 5, what is -1031330 - -143?
-1031132
In base 10, what is 45785 - -13?
45798
In base 6, what is 115 - -15050?
15205
In base 10, what is -8 + -3117?
-3125
In base 7, what is 16 - -301354?
301403
In base 3, what is -2210102101021 + -12?
-2210102101110
In base 6, what is -2 - 2521?
-2523
In base 11, what is 4 + -6157?
-6153
In base 10, what is -5 - 663625?
-663630
In base 2, what is -100000110010101100 + -11?
-100000110010101111
In base 16, what is 1 + -121d20?
-121d1f
In base 8, what is 2 + 541606?
541610
In base 8, what is -1674145 - -1?
-1674144
In base 10, what is 1 + 5792?
5793
In base 6, what is -2 - 120312515?
-120312521
In base 6, what is 1010 + -1244?
-234
In base 13, what is -5c0 - -3c3?
-1ca
In base 4, what is -10 + -12222030?
-12222100
In base 7, what is -3236 - 4?
-3243
In base 9, what is 327187 + 4?
327202
In base 7, what is 35624 + 13?
35640
In base 3, what is 0 - -212002121210?
212002121210
In base 12, what is -1286 - -a?
-1278
In base 16, what is 2 + 38125?
38127
In base 16, what is 96 + -bb3?
-b1d
In base 15, what is -3c501 + 2?
-3c4ee
In base 8, what is -340642 - 4?
-340646
In base 7, what is 30 + 2341?
2401
In base 10, what is -6 + -208816?
-208822
In base 2, what
|
{
"pile_set_name": "DM Mathematics"
}
|
991
What is the highest common factor of 894016 and 81344?
64
Calculate the highest common divisor of 95 and 71459.
19
What is the greatest common divisor of 44640 and 192?
96
What is the highest common divisor of 46957646 and 1068?
178
Calculate the highest common divisor of 56353648 and 832.
208
Calculate the greatest common factor of 39772 and 51484.
244
Calculate the highest common factor of 1067024 and 21504.
112
Calculate the greatest common factor of 14124 and 1321985.
107
Calculate the greatest common factor of 16754220 and 72.
36
What is the greatest common divisor of 265 and 40625?
5
What is the highest common divisor of 13262 and 188252?
38
Calculate the highest common factor of 10 and 9028346.
2
What is the greatest common divisor of 980095 and 5697?
211
Calculate the highest common factor of 7999799 and 346985.
2393
Calculate the highest common factor of 432 and 38196333.
27
What is the highest common divisor of 351 and 369063?
27
Calculate the highest common factor of 18600745 and 815.
815
What is the highest common divisor of 400 and 976824?
8
What is the highest common factor of 147433969 and 3551?
3551
Calculate the highest common divisor of 596 and 319652.
4
What is the highest common factor of 557029 and 82048?
641
What is the greatest common factor of 329846 and 14278?
242
What is the greatest common divisor of 12032807 and 74?
37
Calculate the highest common factor of 657956 and 104.
52
Calculate the highest common factor of 126231 and 11865.
21
Calculate the highest common factor of 56736 and 753525.
1773
Calculate the greatest common factor of 8041 and 25945942.
473
Calculate the greatest common factor of 289 and 46535936.
289
What is the highest common divisor of 23068386 and 1386?
198
What is the highest common factor of 44576 and 2113888?
224
What is the highest common factor of 459 and 138155022?
153
What is the greatest common divisor of 1863567 and 2241?
27
Calculate the greatest common factor of 284 and 3427525.
71
Calculate the highest common divisor of 10579 and 109056.
71
What is the greatest common divisor of 4034436 and 8092?
28
Calculate the greatest common divisor of 3050249 and 2445164.
3103
Calculate the highest common factor of 34431 and 31860651.
1497
What is the greatest common divisor of 3520 and 1427624?
88
What is the greatest common factor of 4490416 and 4816?
112
What is the greatest common divisor of 1953683 and 1915?
383
Calculate the highest common factor of 6986980 and 429.
143
What is the greatest common factor of 402 and 18192711?
201
What is the greatest common divisor of 3143 and 46662?
7
Calculate the highest common divisor of 14418 and 149769.
81
What is the highest common factor of 27540940 and 785?
785
Calculate the highest common factor of 19489024 and 704.
64
What is the highest common divisor of 2376 and 3662712?
216
What is the greatest common factor of 2402356 and 352?
44
Calculate the greatest common divisor of 3239584 and 48.
16
What is the greatest common factor of 4190 and 151967110?
4190
Calculate the greatest common factor of 25455 and 12213309.
5091
Calculate the highest common factor of 29887 and 109967.
143
What is the highest common factor of 27 and 222657057?
9
What is the greatest common divisor of 3451 and 7140?
119
What is the greatest common divisor of 187605470 and 90?
10
Calculate the highest common factor of 1082 and 7263466.
1082
What is the highest common divisor of 3715083 and 402?
201
Calculate the greatest common divisor of 299546 and 3843799.
281
Calculate the greatest common factor of 16511 and 2236134263.
16511
What is the highest common divisor of 26428723 and 615?
41
Calculate the greatest common divisor of 95808 and 111.
3
What is the greatest common factor of 376 and 1046592?
8
What is the greatest common divisor of 72447 and 101897?
589
What is the greatest common divisor of 426811 and 6633?
11
Calculate the greatest common divisor of 1184343 and 126389.
211
Calculate the highest common divisor of 125720 and 86380.
140
What is the greatest common factor of 621845 and 2393531?
763
What is the highest common factor of 82278163 and 5357?
5357
What is the highest common factor of 50825 and 1467505?
535
Calculate the greatest common factor of 7936825 and 3640.
65
What is the greatest common factor of 4757018 and 154?
14
Calculate the highest common divisor of 3573609 and 429.
39
Calculate the highest common factor of 370935 and 9720.
45
What is the greatest common divisor of 13569597 and 144?
9
What is the highest common divisor of 583 and 30591?
11
What is the highest common factor of 130217032 and 200?
8
Calculate the greatest common factor of 16842952 and 4.
4
What is the highest common divisor of 14686050 and 855?
285
Calculate the highest common divisor of 1283633 and 18089149.
4381
Calculate the greatest common divisor of 851189 and 68759.
2371
What is the highest common factor of 15635686 and 34?
2
What is the greatest common factor of 1324113 and 2142?
357
Calculate the highest common factor of 80660244 and 6384.
1596
What is the greatest common divisor of 1273756 and 143?
11
Calculate the greatest common divisor of 3 and 54551821.
1
What is the greatest common divisor of 9 and 59121?
9
What is the highest common factor of 11661805 and 10580?
2645
What is the greatest common factor of 212656335 and 127245?
7485
Calculate the highest common divisor of 231 and 290271.
3
What is the highest common factor of 712274970 and 14778?
4926
What is the greatest common factor of 12232566 and 1262?
1262
What is the greatest common divisor of 110 and 75695?
5
What is the highest common factor of 399573 and 3429?
27
What is the greatest common factor of 37807 and 170220862?
3437
Calculate the greatest common divisor of 40704 and 2446586.
106
What is the greatest common divisor of 3527604 and 5280?
12
Calculate the greatest common divisor of 2661109 and 44.
11
What is the highest common factor of 43776 and 54236160?
2304
Calculate the highest common divisor of 227589170 and 40315.
3665
What is the greatest common factor of 108867 and 2112?
33
Calculate the highest common factor of 90 and 2803167630.
90
What is the greatest common divisor of 144974539 and 573?
191
What is the highest common divisor of 2084 and 91704?
4
Calculate the highest common factor of 41909403 and 9.
3
Calculate the greatest common divisor of 43255 and 830285.
1055
What is the greatest common factor of 8128 and 20740352?
64
What is the greatest common factor of 72 and 26651277?
9
What is the highest common factor of 527292 and 150396?
1812
Calculate the greatest common divisor of 12778 and 790.
2
Calculate the greatest common factor of 9 and 131132367.
9
What is the highest common factor of 31788 and 2772620?
3532
What is the greatest common factor of 114 and 3271872?
6
What is the greatest common divisor of 2053026 and 32913?
621
What is the greatest common divisor of 51130 and 2570?
10
Calculate the highest common factor of 1747280850 and 266.
266
What is the greatest common factor of 62 and 28327862?
62
Calculate the highest common divisor of 11362 and 905372.
598
What is the highest common divisor of 168 and 442974252?
84
Calculate the greatest common divisor of 294125 and 5315375.
1625
Calculate the greatest common factor of 3431 and 2263949.
73
What is the greatest common factor of 21214480 and 301?
301
What is the greatest common divisor of 2056 and 4096?
8
Calculate the greatest common divisor of 624 and 7188087.
3
Calculate the greatest common divisor of 1492 and 320860.
4
Calculate the highest common factor of 17885 and 7017045.
245
Calculate the highest common divisor of 4992 and 3598752768.
4992
Calculate the highest common factor of 361270645 and 68050.
6805
What is the highest common factor of 10462660 and 20?
20
What is the highest common factor of 530 and 67725520?
530
Calculate the greatest common factor of 76013376 and 1072.
1072
Calculate the highest common factor of 30281 and 854377.
283
What is the highest common divisor of 8265274 and 64?
2
Calculate the highest common factor of 952 and 1007888.
56
What is the greatest common divisor of 22125825 and 125?
25
What is the greatest common divisor of 1340764941 and 8271?
2757
What is the greatest common divisor of 52542
|
{
"pile_set_name": "DM Mathematics"
}
|
s u in -2*u**5/9 + 8*u**4/3 - 68*u**3/9 - 8*u**2/3 + 70*u/9 = 0?
-1, 0, 1, 5, 7
Find u, given that -4*u**5 + 24*u**4 - 28*u**3 - 24*u**2 + 32*u = 0.
-1, 0, 1, 2, 4
Factor -3*d**2 + 99*d.
-3*d*(d - 33)
Suppose 5*u**2 + 16242*u + 6496 = 0. Calculate u.
-3248, -2/5
Factor d**3 - 102*d**2 + 99*d + 202.
(d - 101)*(d - 2)*(d + 1)
Solve 2*x**3 - 174*x**2 + 4182*x - 16810 = 0.
5, 41
Factor 5*q**2 - 155*q - 700.
5*(q - 35)*(q + 4)
Factor 15*s**3/4 + 20*s**2 + 25*s/4.
5*s*(s + 5)*(3*s + 1)/4
Solve 4*c**2/7 + 7512*c/7 + 3526884/7 = 0 for c.
-939
Factor -4*x**5 + 24*x**4 - 48*x**3 + 32*x**2.
-4*x**2*(x - 2)**3
Factor 2*o**2 - 18136*o + 41114312.
2*(o - 4534)**2
Determine d, given that 6*d**5/5 - 88*d**4/5 + 6*d**3 + 76*d**2 - 216*d/5 - 112/5 = 0.
-2, -1/3, 1, 2, 14
Factor 4*f**3/7 - 52*f/7 + 48/7.
4*(f - 3)*(f - 1)*(f + 4)/7
Factor 4*b**4/7 - 36*b**3/7 + 72*b**2/7 + 128*b/7 - 384/7.
4*(b - 4)**2*(b - 3)*(b + 2)/7
Factor -y**2/8 - 9*y/4 + 11.
-(y - 4)*(y + 22)/8
Factor 5*u**4 + 1215*u**3 - 3680*u**2 + 2460*u.
5*u*(u - 2)*(u - 1)*(u + 246)
Factor t**4 + 9*t**3 + 29*t**2 + 39*t + 18.
(t + 1)*(t + 2)*(t + 3)**2
Factor -2*p**4/3 + 6*p**3 + 20*p**2/3.
-2*p**2*(p - 10)*(p + 1)/3
Determine j so that -j**4/5 - 133*j**3/5 + 972*j**2/5 - 1136*j/5 - 448 = 0.
-140, -1, 4
Determine s, given that 3*s**3/8 + 51*s**2/8 + 45*s/2 = 0.
-12, -5, 0
Factor -3*z**4/2 + 1332*z**3 - 11907*z**2 + 35640*z - 71199/2.
-3*(z - 879)*(z - 3)**3/2
Let 2*k**5/11 + 42*k**4/11 + 162*k**3/11 - 1458*k**2/11 - 8748*k/11 = 0. Calculate k.
-9, 0, 6
Factor -3*h**4 + 54*h**3 - 111*h**2 - 1188*h - 1452.
-3*(h - 11)**2*(h + 2)**2
Suppose 2*w**3/15 + 34*w**2/15 + 88*w/15 + 56/15 = 0. What is w?
-14, -2, -1
Factor -z**2/8 + 91*z/8 + 93/4.
-(z - 93)*(z + 2)/8
Let m**5 + 92*m**4 + 3124*m**3 + 46368*m**2 + 254016*m = 0. What is m?
-28, -18, 0
Determine w so that -w**2/7 - 44*w/7 - 123/7 = 0.
-41, -3
Let -5*r**3 - 605*r**2 - 2360*r - 2340 = 0. Calculate r.
-117, -2
Determine h, given that 4*h**4 - 28*h**3 + 20*h**2 + 28*h - 24 = 0.
-1, 1, 6
Let -r**2 - 17*r - 60 = 0. What is r?
-12, -5
Factor -2*z**3/5 + 3*z**2/5 + 44*z/5.
-z*(z + 4)*(2*z - 11)/5
Determine t so that 5*t**2 + 405*t + 2250 = 0.
-75, -6
Suppose -m**4 + 4*m**3 + 22*m**2 - 4*m - 21 = 0. What is m?
-3, -1, 1, 7
Suppose 18*m**2 + 303*m - 51 = 0. Calculate m.
-17, 1/6
Solve 2*u**5 - 68*u**4 + 60*u**3 + 200*u**2 - 62*u - 132 = 0 for u.
-1, 1, 2, 33
Find d such that -d**2/2 + 5*d/2 + 7 = 0.
-2, 7
Factor h**2/9 + 10*h/9 + 1.
(h + 1)*(h + 9)/9
What is a in -5*a**4 + 85*a**3 + 395*a**2 + 515*a + 210 = 0?
-2, -1, 21
Factor 21*v**3/2 + 326*v**2 - 318*v + 64.
(v + 32)*(3*v - 2)*(7*v - 2)/2
Factor -3*s**3/5 + 174*s**2/5 - 2208*s/5 + 8064/5.
-3*(s - 42)*(s - 8)**2/5
Let 42*p**5/5 + 1076*p**4/5 + 6674*p**3/5 - 2912*p**2/5 - 1352*p/5 = 0. Calculate p.
-13, -2/7, 0, 2/3
Find v, given that 2*v**2/21 + 6*v/7 + 4/3 = 0.
-7, -2
Factor -15*t**3 - 21*t**2 - 6*t.
-3*t*(t + 1)*(5*t + 2)
Let -3*b**3 - 40*b**2 - 71*b + 66 = 0. Calculate b.
-11, -3, 2/3
Find o such that -2*o**4/9 + 10*o**3/9 + 4*o**2/3 = 0.
-1, 0, 6
Find m such that -4*m**4 - 144*m**3 - 1296*m**2 = 0.
-18, 0
Let -12*p**4 + 15*p**3 - 3*p**2 = 0. Calculate p.
0, 1/4, 1
Let l**2 + 4*l - 32 = 0. Calculate l.
-8, 4
Determine t, given that 3*t**4/7 + 852*t**3/7 + 79488*t**2/7 + 331776*t - 10616832/7 = 0.
-96, 4
Factor -3*k**3 + 84*k**2 - 477*k + 756.
-3*(k - 21)*(k - 4)*(k - 3)
Factor -2*v**2/3 + 40*v/3.
-2*v*(v - 20)/3
Factor -11*x**2 + x.
-x*(11*x - 1)
Factor 2*f**2 + 68*f + 336.
2*(f + 6)*(f + 28)
Factor -25*n**3 + 20*n**2 + 5*n.
-5*n*(n - 1)*(5*n + 1)
Factor 9*z**5 - 15*z**4 + 6*z**3.
3*z**3*(z - 1)*(3*z - 2)
Factor -3*x**2/2 + 27*x - 84.
-3*(x - 14)*(x - 4)/2
Solve -2*y**3 + 11*y**2 - 4*y - 5 = 0 for y.
-1/2, 1, 5
Solve 9*m**3 + 228*m**2 + 291*m + 72 = 0 for m.
-24, -1, -1/3
Factor 5*c**2 + 25*c + 20.
5*(c + 1)*(c + 4)
Factor -p**3 - 34*p**2 - 120*p.
-p*(p + 4)*(p + 30)
Solve -55*l**5 - 195*l**4 - 255*l**3 - 145*l**2 - 30*l = 0.
-1, -6/11, 0
Solve -22*z**5 - 194*z**4 - 140*z**3 + 32*z**2 = 0.
-8, -1, 0, 2/11
Suppose 2*p**3/3 - 4*p**2/3 - 32*p = 0. What is p?
-6, 0, 8
Factor 3*y**2/2 + 67*y/4 + 175/4.
(y + 7)*(6*y + 25)/4
Factor 4*i**2 - 204*i - 208.
4*(i - 52)*(i + 1)
Let -3*d**4 + 1092*d**3 + 16830*d**2 + 84900*d + 142125 = 0. What is d?
-5, 379
Factor 4*k**2 + 1716*k.
4*k*(k + 429)
Let -k**3/5 - 7*k**2 + 152*k/5 - 156/5 = 0. What is k?
-39, 2
Let 4*r**3 + 2444*r**2 - 2456*r - 4896 = 0. Calculate r.
-612, -1, 2
Let 3*x**5/5 + 3*x**4 - 6*x**3/5 - 6*x**2 + 3*x/5 + 3 = 0. What is x?
-5, -1, 1
What is y in -14*y**5/9 - 6*y**4 - 62*y**3/9 - 2*y**2 + 4*y/9 = 0?
-2, -1, 0, 1/7
Factor 36*c**2 - 80*c + 16.
4*(c - 2)*(9*c - 2)
Suppose -24*a**5/7 - 402*a**4/7 + 549*a**3/7 + 150*a**2/7 - 219*a/7 - 54/7 = 0. What is a?
-18, -1/2, -1/4, 1
Let 13*h**3/3 + 18*h**2 + 47*h/3 + 2 = 0. What is h?
-3, -1, -2/13
Factor g**2/4 - 15*g/4 + 11.
(g - 11)*(g - 4)/4
Find s such that -2*s**5/9 + 4*s**4/9 + 8*s**3/3 - 76*s**2/9 + 74*s/9 - 8/3 = 0.
-4, 1, 3
Solve 3*x**4 + 2*x**3 - 9*x**2 - 12*x - 4 = 0.
-1, -2/3, 2
Factor f**4/3 + 68*f**3/3 + 1222*f**2/3 + 748*f + 363.
(f + 1)**2*(f + 33)**2/3
Determine n, given that 16*n**5/5 + 1952*n**4/5 + 62404*n**3/5 + 35132*n**2 + 171836*n/5 + 56644/5 = 0.
-119/2, -1
Factor -5*z**3/4 - 65*z**2/4 + 25*z + 105.
-5*(z - 3)*(z + 2)*(z + 14)/4
Solve -2*p**3/7 - 368*p**2/7 - 2470*p - 4732 = 0.
-91, -2
Factor 2*u**2 - 6352*u + 5043488.
2*(u - 1588)**2
Factor f**4/2 + 57*f**3/2 + 165*f**2/2 + 163*f/2 + 27.
(f + 1)**3*(f + 54)/2
Factor -4*f**2/5 + 2988*f/5 + 5992/5.
-4*(f - 749)*(f + 2)/5
Factor 3*l**2 - 15510*l + 20046675.
3*(l - 2585)**2
Factor -2*a**3 + 78*a**2 - 960*a + 3584.
-2*(a - 16)**2*(a - 7)
Suppose -21*b**3 - 69*b**2 - 60*b - 12 = 0. What is b?
-2, -1, -2/7
What is r in -8*r**2 + 68*r + 696 = 0?
-6, 29/2
Factor -l**4/4 - 9*l**3/2 - 61*l**2/4 + 45*l - 25.
-(l - 1)**2*(l + 10)**2/4
What is i in i**2/5 + 33*i/5 = 0?
-33, 0
Solve 2*h**2 + 7152*h + 6393888 = 0 for h.
-1788
What is a in -2*a**2 + 9444*a = 0?
0, 4722
Find d, given that 2*d**2/13 - 602*d/13 - 604/13 = 0.
-1, 302
Suppose 2*f**3/7 - 516*f**2/7 + 44376*f/7 - 1272112/7 = 0. Calculate f.
86
Factor 4*d**4 + 32*d**3 - 12*d**2 - 88*d + 64.
4*(d - 1)**2*(d + 2)*(d + 8)
What is k in -5*k**3 + 55*k**2 - 155*k + 105 = 0?
1, 3, 7
What is a in 3*a**2/7 + 48*a/7 + 144/7 = 0?
-12, -4
Determine f, given that -2*f**4 - 2*f**3 + 40*f**2 = 0.
-5, 0, 4
Solve -15*l**3/4 + 265*l**2/4 + 375*l/4 + 95/4 = 0 for l.
-1, -1/3, 19
Determine f, given that 2*f**5 - 2*f**4 - 28*f**3 - 52*f**2 - 38*f - 10 = 0.
-1, 5
Factor -5*z**4 - 50*z**3 - 180*z**2 - 270*z - 135.
-5*(z + 1)*(z + 3)**3
Factor -3*h**3/2 + 9*h**2/2 + 36*h - 120.
-3*(h - 4)**2*(h + 5)/2
Find f, given that 5*f**3 - 6440*f**2 + 2073680*f = 0.
0, 644
Determine l, given that -l**3/2 - l**2/2 + 65*l/2 + 225/2 = 0.
-5, 9
Determine l so that 2*l**3/3 - 898*l**2/3 - 3616*l/3 - 1208 = 0.
-2, 453
Solve -49*r**4 + 910*r**3 - 1341*r**2 + 548*r - 68 = 0 for r.
2/7, 1, 17
Factor 3*p**3 - 6*p**2 - 15*p + 18.
3*(p - 3)*(p - 1)*(p + 2)
Factor 3*m**2 - 27*m.
3*m*(m - 9)
Find j, given that 4*j**4/3 - 14*j**3 - 70*j**2/3 - 8*j = 0.
-1, -1/2, 0, 12
Let -2*n**4/5 + 598*n**3/5 + 1808*n**2/5 + 1208*n/5 = 0. Calculate n.
-2, -1, 0, 302
Factor i**2/9 - 76*i/9 + 148/9.
(i - 74)*(i - 2)/9
Factor -q**3/3 - 11*q**2/3 + 19*q - 15.
-(q - 3)*(q - 1)*(q + 15)/3
Let -c**2/3 + 172*c/3 - 7396/3 = 0. Calculate c.
86
Suppose 2*h**5/7 - 4*h**4/7 - 24*h**3/7 - 4*h**2 - 10*h/7 = 0. Calculate h.
-1, 0, 5
Factor -2*z**3/7 - 3756*z**2/7 - 2351256*z/7 - 490628752/7.
-2*(z + 626)**3/7
Let 2*u**4 - 248*u**3 + 8168*u**2 - 29760*u + 28800 = 0. Calculate u.
2, 60
Suppose -u**5/4 + 39*u**4/4 - 461*u**3/4 + 1505*u**2/4 - 153*u/2 - 578 = 0. What is u?
-1, 2, 4, 17
Factor 10*y**3/19 - 14*y**2/19 - 196*y/19 + 80/19.
2*(y - 5)*(y + 4)*(5*y - 2)/19
Determine a, given that 4*a**4 + 8*a**3 - 4*a**2 - 8*a = 0.
-2, -1, 0, 1
Factor 2*s**2/5 + 22*s + 108/5.
2*(s + 1)*(s + 54)/5
Factor -u**5 + 3*u**4 - u**3 - 3*u**2 + 2*u.
-u*(u - 2)*(u - 1)**2*(u + 1)
Let 4*u**3 - 80*u**2 + 268*u - 192 = 0. What is u?
1, 3, 16
Factor 2*l**2 - 86*l + 240.
2*(l - 40)*(l - 3)
Let 3*l**5 + 117*l**4 - 249*l**3 - 117*l**2 + 246*l = 0. What is l?
-41, -1, 0, 1, 2
What is p in p**3/6
|
{
"pile_set_name": "DM Mathematics"
}
|
07?
9
What is the hundreds digit of 7390?
3
What is the units digit of 7920?
0
What is the ten thousands digit of 22425?
2
What is the tens digit of 1132?
3
What is the units digit of 976?
6
What is the hundreds digit of 2772?
7
What is the units digit of 605?
5
What is the thousands digit of 3601?
3
What is the units digit of 1332?
2
What is the hundreds digit of 1914?
9
What is the hundreds digit of 7429?
4
What is the hundreds digit of 345?
3
What is the tens digit of 84634?
3
What is the tens digit of 503?
0
What is the units digit of 24645?
5
What is the units digit of 2598?
8
What is the ten thousands digit of 77938?
7
What is the units digit of 8027?
7
What is the units digit of 773?
3
What is the thousands digit of 1749?
1
What is the thousands digit of 114198?
4
What is the hundreds digit of 1226?
2
What is the tens digit of 6011?
1
What is the hundreds digit of 7612?
6
What is the units digit of 34957?
7
What is the units digit of 9472?
2
What is the tens digit of 48146?
4
What is the ten thousands digit of 25337?
2
What is the hundreds digit of 5124?
1
What is the thousands digit of 14728?
4
What is the hundreds digit of 19257?
2
What is the tens digit of 1292?
9
What is the tens digit of 82?
8
What is the ten thousands digit of 33566?
3
What is the thousands digit of 1447?
1
What is the ten thousands digit of 23266?
2
What is the units digit of 3970?
0
What is the tens digit of 9233?
3
What is the thousands digit of 1477?
1
What is the units digit of 435?
5
What is the thousands digit of 6445?
6
What is the units digit of 28?
8
What is the hundreds digit of 110988?
9
What is the hundreds digit of 4894?
8
What is the tens digit of 161?
6
What is the tens digit of 84430?
3
What is the hundreds digit of 68237?
2
What is the units digit of 1421?
1
What is the units digit of 25687?
7
What is the tens digit of 13737?
3
What is the units digit of 5034?
4
What is the units digit of 475?
5
What is the units digit of 13449?
9
What is the tens digit of 753?
5
What is the hundreds digit of 842?
8
What is the hundreds digit of 951?
9
What is the units digit of 458?
8
What is the hundreds digit of 3413?
4
What is the units digit of 9523?
3
What is the units digit of 4272?
2
What is the ten thousands digit of 23323?
2
What is the units digit of 97806?
6
What is the hundreds digit of 18688?
6
What is the ten thousands digit of 13877?
1
What is the hundreds digit of 410?
4
What is the tens digit of 153377?
7
What is the units digit of 11255?
5
What is the thousands digit of 15503?
5
What is the hundreds digit of 1219?
2
What is the tens digit of 33012?
1
What is the units digit of 28?
8
What is the units digit of 8426?
6
What is the hundreds digit of 26871?
8
What is the hundreds digit of 270?
2
What is the thousands digit of 144405?
4
What is the thousands digit of 2381?
2
What is the hundreds digit of 6716?
7
What is the hundreds digit of 5602?
6
What is the ten thousands digit of 50682?
5
What is the units digit of 1100?
0
What is the thousands digit of 3530?
3
What is the units digit of 5001?
1
What is the units digit of 44?
4
What is the tens digit of 22536?
3
What is the tens digit of 771?
7
What is the tens digit of 11163?
6
What is the hundreds digit of 70785?
7
What is the thousands digit of 23077?
3
What is the hundreds digit of 3645?
6
What is the hundreds digit of 28951?
9
What is the tens digit of 20072?
7
What is the ten thousands digit of 27534?
2
What is the hundreds digit of 1432?
4
What is the hundreds digit of 12712?
7
What is the units digit of 17016?
6
What is the hundreds digit of 978?
9
What is the ten thousands digit of 29363?
2
What is the hundreds digit of 31771?
7
What is the units digit of 5848?
8
What is the ten thousands digit of 15288?
1
What is the hundreds digit of 3413?
4
What is the units digit of 21546?
6
What is the thousands digit of 2437?
2
What is the tens digit of 5821?
2
What is the tens digit of 1148?
4
What is the hundreds digit of 28356?
3
What is the ten thousands digit of 25908?
2
What is the hundreds digit of 13576?
5
What is the thousands digit of 45339?
5
What is the units digit of 119?
9
What is the thousands digit of 1068?
1
What is the units digit of 5930?
0
What is the thousands digit of 4292?
4
What is the tens digit of 56130?
3
What is the thousands digit of 23724?
3
What is the units digit of 27260?
0
What is the tens digit of 19272?
7
What is the units digit of 34?
4
What is the units digit of 7094?
4
What is the thousands digit of 4864?
4
What is the hundreds digit of 39737?
7
What is the units digit of 1894?
4
What is the hundreds digit of 145?
1
What is the tens digit of 23227?
2
What is the hundreds digit of 8326?
3
What is the tens digit of 7379?
7
What is the tens digit of 115?
1
What is the thousands digit of 1036?
1
What is the hundreds digit of 1081?
0
What is the tens digit of 170?
7
What is the thousands digit of 63252?
3
What is the hundreds digit of 4726?
7
What is the ten thousands digit of 71449?
7
What is the tens digit of 1094?
9
What is the thousands digit of 134791?
4
What is the tens digit of 111968?
6
What is the tens digit of 420?
2
What is the hundreds digit of 140998?
9
What is the tens digit of 112453?
5
What is the hundreds digit of 496?
4
What is the tens digit of 9669?
6
What is the units digit of 22970?
0
What is the thousands digit of 11186?
1
What is the units digit of 1336?
6
What is the hundreds digit of 203?
2
What is the units digit of 847?
7
What is the tens digit of 70901?
0
What is the ten thousands digit of 29210?
2
What is the thousands digit of 1524?
1
What is the thousands digit of 23852?
3
What is the tens digit of 2407?
0
What is the tens digit of 4782?
8
What is the tens digit of 55723?
2
What is the tens digit of 108716?
1
What is the thousands digit of 38605?
8
What is the hundreds digit of 17762?
7
What is the units digit of 11895?
5
What is the hundreds digit of 2070?
0
What is the hundreds digit of 16131?
1
What is the thousands digit of 19257?
9
What is the tens digit of 5410?
1
What is the hundreds digit of 1817?
8
What is the tens digit of 65128?
2
What is the hundreds digit of 2898?
8
What is the units digit of 4124?
4
What is the units digit of 7448?
8
What is the thousands digit of 1569?
1
What is the hundreds digit of 19781?
7
What is the hundreds digit of 1608?
6
What is the tens digit of 9269?
6
What is the tens digit of 14924?
2
What is the hundreds digit of 169017?
0
What is the tens digit of 8092?
9
What is the hundreds digit of 4635?
6
What is the tens digit of 1050?
5
What is the tens digit of 2654?
5
What is the units digit of 3608?
8
What is the ten thousands digit of 94945?
9
What is the ten thousands digit of 14637?
1
What is the thousands digit of 1588?
1
What is the tens digit of 3978?
7
What is the units digit of 50610?
0
What is the thousands digit of 2196?
2
What is the tens digit of 41?
4
What is the thousands digit of 56680?
6
What is the units digit of 136174?
4
What is the tens digit of 876?
7
What is the thousands digit of 3189?
3
What is the hundreds digit of 3179?
1
What is the hundreds digit of 125787?
7
What is the units digit of 1803?
3
What is the tens digit of 1951?
5
What is the tens digit of 7214?
1
What is the units digit of 43183?
3
What is the hundreds digit of 2594?
5
What is the thousands digit of 3869?
3
What is the tens digit of 25599?
9
What is the units digit of 3205?
5
What is the units digit of 856?
6
What is the hundreds digit of 1228?
2
What is the tens digit of 28377?
7
What is the units digit of 893?
3
What is the units digit of 98?
8
What is the thousands digit of 9125?
9
What is the hundreds digit of 1782?
7
What is the thousands digit of 1305?
1
What is the units digit of 2737?
7
What is the units digit of 165272?
2
What is the tens digit of 401?
0
What is the tens digit of 1026?
2
What is the hundreds digit of 5556?
5
What is the thousands digit of 89804?
9
What is the tens digit of 741?
4
What is the hundreds digit of 16609?
6
What is the tens digit of 11?
1
What is the units digit of 1288?
8
What is the ten thousands digit of 86053?
8
What is the thousands digit of 1252?
1
What is the tens digit of 13822?
2
What is the thousands digit of 6399?
6
What is the units digit of 4507?
7
|
{
"pile_set_name": "DM Mathematics"
}
|
?
4
Let p(i) = -i + 10. Let g be p(3). Let d(j) = 37*j**2 - 22*j**2 + j**3 - g - 15*j**2. Determine d(0).
-7
Suppose -5*o + 8*o + 18 = 0. Let u(d) = d**3 + 5*d**2 - 8*d + 1. Calculate u(o).
13
Let b(r) = r**2 - 7*r - 11. Let t be b(8). Let s(h) = h**3 + 2*h**2 - 2*h. Give s(t).
-3
Suppose -4*m + 23 = 3*d, d - 3 = 2. Let o(q) = -q - 5*q + 5*q + m*q**3 + 4*q**3. Calculate o(1).
5
Let p(m) = -m**3 - 7*m - 10*m**2 - 7 + 4*m**2 + 4. Determine p(-5).
7
Suppose -4*y = -2 - 30. Suppose -y + 2 = -2*m. Let h(j) = j**3 - j + m*j**3 - 2*j**3. Calculate h(-1).
-1
Let s be (-5 - -4)/((-2)/(-8)). Let g(q) = 1. Let v(o) be the third derivative of -o**5/60 - o**4/12 - o**3/2 + o**2. Let c(a) = -g(a) - v(a). Determine c(s).
10
Let f(z) = -z**3 - 5*z**2 - 4*z. Let d(a) = a. Let c be d(-1). Let m be -4 + 1 + (-1)/c. Let x = m - 1. Give f(x).
-6
Let b = 0 - 4. Let a(w) = -3*w - 4. Determine a(b).
8
Suppose 0*h = -5*h + 15. Suppose -6 = -v + 4*f - 3*f, -5*f = 15. Let j(l) = -2 + 0*l**v + 4*l**3 + 3*l**2 - 5*l**3 + l. Give j(h).
1
Let c(z) = z**3 - z**2 - z + 1. Let i be c(0). Let g be 0/(2/((-2)/i)). Let k(r) = -r + 5. Give k(g).
5
Suppose -2*x - 2 = -0*w - 3*w, 0 = -4*w - 2*x - 2. Suppose 0 = -2*c - w*c + 4. Let q(t) = 1 + 40*t + 0*t**3 - t**3 - 38*t + t**2. Give q(c).
1
Let h be (-12)/(-15)*(-5)/(-2). Let v(d) = -1 - d**3 + 0*d**2 + 0*d**2 - d**h - d. Give v(-2).
5
Let g(y) = -24*y + 23. Let d be g(1). Let n(z) = -2 - 2*z + 3 - 2. Calculate n(d).
1
Suppose -10 = -5*q + 10. Let w(c) = 4 + c + 2 - 1 - q. What is w(-5)?
-4
Let p(m) = -m**3 - 6*m**2 - 3*m + 3. Let a = 14 - 19. Calculate p(a).
-7
Let w = -3 + 3. Suppose -2*t + 0*k + 23 = 5*k, w = 5*t + k. Let r(z) = z**2 + 1. Give r(t).
2
Let u(m) be the first derivative of m**6/120 + m**5/15 - m**4/4 + 2*m**3/3 - 3*m**2/2 + 8. Let r(t) be the second derivative of u(t). What is r(-5)?
9
Let z(h) = h**3 + 4. Let q be z(0). Suppose b = -x - q, 3 = -4*b - 2*x - 7. Let f(m) = -3*m**2 + m. Calculate f(b).
-4
Let j(q) be the second derivative of 0 + 1/2*q**2 + q - 1/4*q**5 + 1/6*q**3 + 0*q**4. Suppose 2*y = 4*h + 14, 0*h = -h - 5*y + 24. Calculate j(h).
5
Let h = 13 + -19. Let r be -3 + -2*3/h. Let y(c) = c**2 + 3*c + 2. Calculate y(r).
0
Let d(y) be the second derivative of -y**6/120 - y**5/12 - y**4/8 - y**3/2 + 2*y**2 - 3*y. Let w(g) be the first derivative of d(g). Determine w(-4).
-7
Let x(m) = -11*m + 15. Let i(p) = 5*p - 7. Let a(g) = -13*i(g) - 6*x(g). Suppose 16 = 4*c - 5*c + 5*b, -5*c = 3*b - 4. Let q = 1 - c. What is a(q)?
3
Let n(f) be the third derivative of -f**7/2520 + 7*f**6/720 + f**5/30 - f**4/12 - 6*f**2. Let d(t) be the second derivative of n(t). Calculate d(6).
10
Let v(g) = 7*g**2 + 1. Let d = 12 - 13. Give v(d).
8
Let l(p) = -p**2 - 2*p + 1. Suppose s = 3*h - 10, 2*h - s = -3*s - 4. Let q be 4 - 1/h*-2. Suppose -q*k = -k - 8. What is l(k)?
-7
Let y = -43 + 48. Let g(f) = -2*f + 5. What is g(y)?
-5
Let x(b) be the second derivative of -b**7/840 + b**6/180 + b**4/12 - 5*b**3/6 - 11*b. Let c(u) be the second derivative of x(u). Give c(3).
-7
Let m(k) be the first derivative of 4*k + 5/2*k**2 + 1 - 1/3*k**3. Let c be m(6). Let n(q) = -4*q - 1. What is n(c)?
7
Let f(i) = 5*i - 12. Let q(p) = -5*p + 1 + 0*p + 10 + p. Let r(t) = -5*f(t) - 6*q(t). What is r(-3)?
-3
Let h(p) = p**3 + p**2 + 2*p - 1. Let i(r) = -3*r**3 - 3*r**2 - 4*r + 3. Let s(w) = 5*h(w) + 2*i(w). Determine s(-1).
-1
Let m(b) = -4*b - 81. Let t be m(-22). Let f(k) = -5*k**3 + 6*k**2 + 2*k - 5. Let w(x) = -6*x**3 + 6*x**2 + x - 6. Let d(r) = -5*f(r) + 4*w(r). Give d(t).
8
Let u(c) be the second derivative of -c**6/720 - 11*c**5/120 - c**4/12 + c. Let a(z) be the third derivative of u(z). Calculate a(-5).
-6
Let d(a) = 2 - a - 1 - 2 + 2*a. Calculate d(6).
5
Let j(g) = g**3 - g**2 - g - 4. Let b = 9 - 4. Suppose -b = 3*d - 17. Let p(k) = -k**2 + 3*k + 4. Let h be p(d). What is j(h)?
-4
Let u(r) = r - 1. Let g(m) = -2*m - 4. Let l(i) = -g(i) + 5*u(i). Let n be (-2)/(-2)*2/(-2). What is l(n)?
-8
Let h(m) = m**2 + m + 12. Let f be 30/(-5) + 1 + 5. Determine h(f).
12
Let g(n) = -n - 4. Let j be 2/(-8) - (-22)/(-8). Let y be 1/(-3) + 11/j. Calculate g(y).
0
Let q(r) = r**3 + 3*r**2 - 5*r - 2. Let c be 1 + ((-30)/2)/3. What is q(c)?
2
Let g(d) be the third derivative of -d**6/120 - d**5/12 + d**4/12 - 4*d**3/3 - 10*d**2. Calculate g(-6).
16
Let y be 0 - (-1 - -3 - 0). Let j(a) = -1. Let w(b) = b. Let l(t) = -j(t) + 3*w(t). Give l(y).
-5
Let y(f) = 6*f + 3. Suppose -3*t + 6 = -5*t. Calculate y(t).
-15
Let m(x) = 11*x**3 - x. Suppose 12*l + 3 = 15*l. What is m(l)?
10
Let l(x) be the third derivative of x**5/30 - 5*x**4/24 + 2*x**3/3 + x**2. Let o(a) = -a**2 - 10*a + 14. Let t be o(-11). Determine l(t).
7
Let p(l) be the third derivative of l**5/60 + 5*l**4/24 - l**3/2 + l**2. Let r be -4 + (-69)/(-18) - 70/12. Calculate p(r).
3
Let z(p) = -2*p - 3. Let l(y) = y + 1. Let i(w) = -7*l(w) - 3*z(w). Let f(j) = j**3 - 8*j**2 - 3. Let u be f(8). What is i(u)?
5
Let c be ((-16)/(-6) - 2)*6. Let m(i) = 6 - 6 + 5 + c + i**2 - i. Calculate m(0).
9
Let b(z) = -3 + 4 + 3 - 3*z. Determine b(3).
-5
Let s(o) = 2*o - 16. Let g be s(13). Suppose -3*p - g + 2 = -v, -2*v + 11 = -p. Let w(r) = 4*r**2 - r. Determine w(p).
5
Let k(y) = 3*y - 5. Let i(v) = v. Let r(x) = 4*i(x) - k(x). Give r(-5).
0
Let a(p) = -9. Suppose -55 + 5 = -5*u. Let d(b) = -14 - 5*b + 7 + 4*b - u. Let h(r) = 5*a(r) - 3*d(r). Give h(-5).
-9
Let a = -17 - -26. Suppose 17*s = 20*s - 6. Let p(c) = 5*c**2 + 8 + s*c - a + 8 + c**3. What is p(-5)?
-3
Let s(q) = q**2 - 6*q + 10. Let y be s(4). Let l(m) = 5*m**2 - 133 + m**3 - y*m**3 + 7*m + 129. Give l(6).
2
Let z(y) be the second derivative of -2*y**3/3 + 3*y**2 - 23*y. Let q(r) = -r**2 + 3*r + 4. Let g be q(3). Give z(g).
-10
Let p(m) = 7*m - 1. Suppose 0 = 6*x + 9 - 33. Suppose -4*z = -0*z + x. Calculate p(z).
-8
Suppose -3 = -2*y - 3*y - 3*q, -2*q + 2 = -y. Let i(b) = y*b**2 - 4*b - 3*b + 0*b**2 + b**2. Calculate i(6).
-6
Let x(o) be the first derivative of o**5/20 + 5*o**4/12 - 2*o**3/3 + o**2 - 5*o + 1. Let i(c) be the first derivative of x(c). What is i(-6)?
-10
Let j(q) = q - 8. Let u be j(6). Let l(s) = -s**2 - s - 1. Let z(o) = -10*o**2 - 12*o - 10. Suppose -1 = -g - 0. Let b(d) = g*z(d) - 12*l(d). Calculate b(u).
10
Let m(y) = y**3 - 5*y**2 + 3*y - 2. Let r(t) = t - 20. Let b be r(25). Let h = 4 + -6. Let i = h + b. Give m(i).
-11
Suppose -11*l + 12*l = j - 12, 4*j + 8 = -3*l. Let y(u) = u + 10. What is y(l)?
2
Let i(k) = -k**2 - 5*k - 2. Suppose -4*z = -1 + 13, -5*y + 18 = -z. Let f(h) = -8*h**y + 3*h**3 + h**3. Let j be f(1). Determine i(j).
2
Let i(h) = h**3 - 5*h**2 - 6*h + 3. Let b be i(6). Let o(c) = -c**b - 2*c - 4*c**3 + 3*c. Let x be ((-2)/6)/(2/(-6)). Calculate o(x).
-4
Let z(q) be the second derivative of q**3/6 - 5*q**2 - 4*q. Let a be z(8). Let b(t) = t**3 + 2*t**2 - 2*t - 2. Give b(a).
2
Let k(f) = -f**3 - 3*f**2 + 6*f + 6. Let v be 2/(2/9) - -2. Let o = v + -15. Determine k(o).
-2
Let b(l) be the first derivative of -l**4/4 + 4*l**3/3 + 2*l**2 + 3*l + 1. Determine b(5).
-2
Let q(y) = -y**2 + 2*y + 4. Let m be (4/6*9)/1. Suppose -2*f = -2*d - m, -4*f - 4*d = -0*f - 28. Suppose 4*z = -f*p + 11, -p = p + 2. What is q(z)?
-4
Let s(m) be the first derivative of -m**3/3 - 3*m**2 + 6*m - 5. Suppose -t - 2*t = 18. Give s(t).
6
Let u(m) = m + m + m**2 - 1 - 2*m**2. Determine u(3).
-4
Let l = -7 - -12. Let f(x) be the third derivative of x**4/24 + x**3/3 + 2*x**2. Calculate f(l).
7
Let j(d) = -6*d + 1. Let u(z) = -z. Let w(o) = -18*o + 2. Let t(c) = -u(c) + w(c). Let f(q) = -11*j(q) + 4*t(q). Calculate f(-4).
5
Let v be ((-26)/6)/(4 + 39/(-9)). Let o(u) = u**2 - 8*u - 3. Let d be o(5). Let w = d + v. Let f(m) = -m**2 - 3*m + 4. What is f(w)?
-6
Let a(x) = x. Let j be a(5). Suppose j = -5*d - u, -3*u - 8 = 7. Let l(t) = -t - 6. Let n be l(d). Let c(q) = -q**3 - 6*q**2 - 2*q - 3. Give c(n).
9
Let q(r) = -2*r + 5. Let f be q(8). Let t = -5 - f. Let m(c) = c**3 - 6*c**2 - 8. Calculate m(t).
-8
Let y be 24/10 - 28/70. Let q(k) = k**3 - 5*k**2 + 3*k - 2. Give q(y).
-8
Let r(j) = j**3 + j**2 - 3*j - 3. Suppose 37*q - 36*q + 2 = 0. Calculate r(q).
-1
Let j be ((-12)/18)/(1/((-6)/8)). Let p(f) be the third derivative of 0 - j*f**3 - 3*f**2 + 0*f -
|
{
"pile_set_name": "DM Mathematics"
}
|
M?
102
How many minutes are there between 4:39 AM and 12:50 PM?
491
How many minutes are there between 5:39 PM and 8:35 PM?
176
What is 142 minutes before 3:48 AM?
1:26 AM
What is 391 minutes before 10:11 AM?
3:40 AM
What is 223 minutes after 11:08 PM?
2:51 AM
How many minutes are there between 7:38 AM and 11:21 AM?
223
What is 443 minutes before 3:37 AM?
8:14 PM
How many minutes are there between 2:27 PM and 7:23 PM?
296
How many minutes are there between 10:34 PM and 11:23 PM?
49
What is 599 minutes after 5:11 AM?
3:10 PM
How many minutes are there between 6:14 AM and 12:39 PM?
385
What is 591 minutes before 4:13 AM?
6:22 PM
How many minutes are there between 6:31 AM and 3:21 PM?
530
What is 136 minutes after 12:09 AM?
2:25 AM
How many minutes are there between 8:11 PM and 7:53 AM?
702
How many minutes are there between 3:43 AM and 4:32 AM?
49
What is 630 minutes before 8:48 PM?
10:18 AM
How many minutes are there between 12:40 PM and 3:04 PM?
144
How many minutes are there between 7:46 PM and 4:10 AM?
504
What is 401 minutes after 6:53 AM?
1:34 PM
What is 402 minutes after 6:27 PM?
1:09 AM
How many minutes are there between 10:38 PM and 5:17 AM?
399
How many minutes are there between 2:06 PM and 6:18 PM?
252
What is 538 minutes before 5:46 PM?
8:48 AM
What is 97 minutes after 5:40 PM?
7:17 PM
How many minutes are there between 11:40 PM and 3:43 AM?
243
What is 503 minutes after 3:50 PM?
12:13 AM
What is 260 minutes before 2:49 PM?
10:29 AM
How many minutes are there between 9:34 AM and 2:43 PM?
309
What is 404 minutes before 1:38 AM?
6:54 PM
What is 197 minutes before 1:13 PM?
9:56 AM
How many minutes are there between 4:25 AM and 11:23 AM?
418
What is 144 minutes before 12:36 AM?
10:12 PM
What is 503 minutes after 5:04 AM?
1:27 PM
How many minutes are there between 6:26 AM and 2:03 PM?
457
What is 528 minutes before 1:08 PM?
4:20 AM
What is 283 minutes before 5:11 AM?
12:28 AM
How many minutes are there between 8:29 AM and 5:15 PM?
526
How many minutes are there between 11:43 AM and 3:38 PM?
235
What is 304 minutes before 12:43 AM?
7:39 PM
What is 706 minutes after 3:40 PM?
3:26 AM
How many minutes are there between 5:34 PM and 1:00 AM?
446
How many minutes are there between 3:27 PM and 7:38 PM?
251
How many minutes are there between 11:32 AM and 5:48 PM?
376
How many minutes are there between 9:22 PM and 11:56 PM?
154
What is 595 minutes before 10:07 AM?
12:12 AM
How many minutes are there between 10:10 AM and 10:30 AM?
20
What is 244 minutes before 4:11 PM?
12:07 PM
What is 324 minutes after 9:55 PM?
3:19 AM
How many minutes are there between 9:58 PM and 10:02 PM?
4
What is 197 minutes after 2:09 PM?
5:26 PM
What is 136 minutes before 4:28 PM?
2:12 PM
What is 371 minutes after 10:03 PM?
4:14 AM
How many minutes are there between 12:40 PM and 11:00 PM?
620
What is 503 minutes after 4:14 AM?
12:37 PM
What is 592 minutes after 10:50 AM?
8:42 PM
What is 50 minutes after 2:51 AM?
3:41 AM
What is 584 minutes before 1:22 PM?
3:38 AM
What is 155 minutes before 11:34 AM?
8:59 AM
What is 445 minutes after 12:43 PM?
8:08 PM
How many minutes are there between 7:29 AM and 11:59 AM?
270
How many minutes are there between 10:59 PM and 4:17 AM?
318
How many minutes are there between 2:23 AM and 8:29 AM?
366
How many minutes are there between 9:51 AM and 11:41 AM?
110
How many minutes are there between 3:38 AM and 1:27 PM?
589
What is 145 minutes after 2:29 PM?
4:54 PM
What is 337 minutes after 8:42 AM?
2:19 PM
How many minutes are there between 11:58 PM and 11:46 AM?
708
How many minutes are there between 12:51 AM and 5:21 AM?
270
What is 585 minutes before 9:05 PM?
11:20 AM
How many minutes are there between 6:17 PM and 7:28 PM?
71
How many minutes are there between 1:12 AM and 12:57 PM?
705
What is 103 minutes before 2:53 PM?
1:10 PM
What is 38 minutes before 4:40 AM?
4:02 AM
How many minutes are there between 5:12 PM and 12:49 AM?
457
How many minutes are there between 7:54 PM and 7:25 AM?
691
What is 90 minutes after 1:07 PM?
2:37 PM
What is 634 minutes after 6:36 AM?
5:10 PM
What is 51 minutes after 8:21 PM?
9:12 PM
How many minutes are there between 12:29 AM and 9:41 AM?
552
What is 526 minutes after 12:34 PM?
9:20 PM
How many minutes are there between 2:59 AM and 4:27 AM?
88
How many minutes are there between 4:03 AM and 10:28 AM?
385
What is 404 minutes after 11:04 PM?
5:48 AM
What is 145 minutes after 6:04 AM?
8:29 AM
How many minutes are there between 2:35 AM and 3:14 AM?
39
How many minutes are there between 2:01 AM and 8:01 AM?
360
How many minutes are there between 2:56 PM and 12:08 AM?
552
What is 607 minutes after 5:51 AM?
3:58 PM
What is 310 minutes after 1:15 AM?
6:25 AM
What is 127 minutes after 3:09 PM?
5:16 PM
What is 121 minutes after 4:22 AM?
6:23 AM
How many minutes are there between 11:35 AM and 2:08 PM?
153
What is 473 minutes before 3:28 PM?
7:35 AM
What is 136 minutes after 9:48 PM?
12:04 AM
How many minutes are there between 4:36 AM and 6:53 AM?
137
What is 209 minutes before 5:11 PM?
1:42 PM
What is 167 minutes after 8:25 AM?
11:12 AM
How many minutes are there between 6:00 AM and 1:25 PM?
445
How many minutes are there between 9:30 PM and 7:03 AM?
573
What is 144 minutes after 1:48 AM?
4:12 AM
How many minutes are there between 1:55 PM and 10:20 PM?
505
How many minutes are there between 9:25 AM and 3:31 PM?
366
What is 463 minutes after 3:03 AM?
10:46 AM
How many minutes are there between 4:05 AM and 7:09 AM?
184
How many minutes are there between 7:58 PM and 8:54 PM?
56
What is 697 minutes after 4:28 PM?
4:05 AM
How many minutes are there between 4:16 PM and 5:00 PM?
44
How many minutes are there between 8:37 PM and 11:27 PM?
170
What is 559 minutes after 1:36 AM?
10:55 AM
What is 697 minutes after 3:38 AM?
3:15 PM
How many minutes are there between 12:50 AM and 9:03 AM?
493
How many minutes are there between 1:10 PM and 1:52 PM?
42
How many minutes are there between 1:34 PM and 8:32 PM?
418
What is 67 minutes after 2:45 AM?
3:52 AM
How many minutes are there between 3:33 PM and 9:14 PM?
341
What is 687 minutes before 12:25 AM?
12:58 PM
What is 588 minutes after 6:55 AM?
4:43 PM
What is 110 minutes after 4:08 AM?
5:58 AM
What is 274 minutes before 3:00 PM?
10:26 AM
How many minutes are there between 2:13 PM and 2:02 AM?
709
How many minutes are there between 3:18 PM and 7:44 PM?
266
How many minutes are there between 7:00 AM and 2:33 PM?
453
What is 618 minutes before 3:08 PM?
4:50 AM
What is 11 minutes before 11:19 AM?
11:08 AM
What is 647 minutes after 11:33 PM?
10:20 AM
What is 719 minutes after 1:37 AM?
1:36 PM
How many minutes are there between 5:18 PM and 1:26 AM?
488
What is 148 minutes before 1:41 PM?
11:13 AM
What is 184 minutes before 4:39 PM?
1:35 PM
How many minutes are there between 12:29 AM and 8:45 AM?
496
How many minutes are there between 4:46 PM and 7:19 PM?
153
What is 709 minutes before 4:22 AM?
4:33 PM
What is 691 minutes after 6:03 PM?
5:34 AM
How many minutes are there between 5:57 AM and 6:07 AM?
10
How many minutes are there between 9:38 AM and 9:42 AM?
4
What is 254 minutes after 7:27 AM?
11:41 AM
What is 36 minutes after 3:18 AM?
3:54 AM
What is 38 minutes before 5:20 AM?
4:42 AM
What is 385 minutes after 11:01 AM?
5:26 PM
How many minutes are there between 3:22 PM and 2:51 AM?
689
How many minutes are there between 9:44 AM and 1:50 PM?
246
How many minutes are there between 8:41 PM and 5:40 AM?
539
How many minutes are there between 12:16 AM and 3:43 AM?
207
What is 714 minutes after 8:43 PM?
8:37 AM
What is 82 minutes after 3:50 AM?
5:12 AM
What is 410 minutes after 12:23 AM?
7:13 AM
How many minutes are there between 8:47 PM and 11:48 PM?
181
What is 707 minutes after 4:55 PM?
4:42 AM
What is 317 minutes after 12:30 PM?
5:47 PM
What is 51 minutes after 4:45 AM?
5:36 AM
What is 320 minutes after 9:10 PM?
2:30 AM
What is 295 minutes after 4:25 PM?
9:20 PM
How many minutes are there between 4:17 PM and 7:46 PM?
209
How many minutes are there between 2:29 PM and 10:19 PM?
470
What is 714 minutes after 10:16 PM?
10:10 AM
What is 286 minutes before 5:33 PM?
12:47 PM
What is 98 minutes before 2:56 AM?
1:18 AM
How many minutes are there between 11:33 AM and 10:30 PM?
657
What is 298 minutes afte
|
{
"pile_set_name": "DM Mathematics"
}
|
(-29)/(-3) + 2/f?
False
Let g = -9 - -9. Suppose g = 4*j - 13 - 15. Is j a multiple of 4?
False
Suppose 9 = -3*y + 6*y. Is y*(2 - 2/6) even?
False
Suppose 5 = -s + 27. Is 11 a factor of s?
True
Does 21 divide (-3 - -6)/(2/48)?
False
Let s = 0 + -1. Does 19 divide ((-1)/2)/(s/114)?
True
Suppose 5*o - q = 7, -o - 3*q + 17 = 3*o. Suppose 4*f - o*f = 4. Suppose -f*n = -5*k - 0*n + 57, -5*k - 4*n = -51. Is k a multiple of 9?
False
Suppose -3*l + k + 54 = 0, -3*l + 1 = 4*k - 53. Is l a multiple of 2?
True
Let b(p) = 23*p**3 + p**2 - 3*p + 1. Let i be b(2). Let y(n) = 8*n. Let f be y(6). Suppose i - f = 3*m. Does 15 divide m?
True
Suppose -v = -2*h - 10 - 76, 2*v + h = 147. Does 38 divide v?
True
Suppose u - 5*t = 2*u - 167, -346 = -2*u - 4*t. Does 16 divide u/3 + 0 - 0?
False
Let p(v) = 5*v**2 - 4*v - 1. Is 13 a factor of p(6)?
False
Let u = 145 + -82. Is u a multiple of 7?
True
Let h(x) = -4*x + 1. Let c(p) = -p - 8. Let a be c(-7). Let n be h(a). Suppose k + 14 = 5*t + 38, 0 = n*t. Is 12 a factor of k?
True
Let o(w) = 5*w - 5. Let a(l) = -l**2 - 7*l + 3. Let v be a(-6). Is o(v) a multiple of 15?
False
Let g(d) = d**3 + 3*d**2 + 2*d. Let q be g(-3). Let j be (-200)/q - 4/12. Suppose 73 = 4*w - 5*o, -4*w = o + 2*o - j. Is 5 a factor of w?
False
Suppose -2*z = 5*q - 477, z - 225 = q + q. Does 21 divide z?
True
Let d(b) = b**2 + 5*b**2 - b**3 + 2*b - 3 + 0. Let n be d(6). Suppose n*l - 4*l = 80. Is 8 a factor of l?
True
Let d = -180 - 564. Does 14 divide 4/18 + d/(-54)?
True
Suppose -4*k + 368 + 808 = 0. Suppose 3*r - 278 = 5*d, -3*r - 3*d = -0*d - k. Is 24 a factor of r?
True
Suppose 78 = 2*i - 3*j, 2*i + 2*j + 3*j - 62 = 0. Is i a multiple of 6?
True
Suppose 3*l + l = 12. Let a = -22 - -27. Suppose a*u - 5*x - 57 = 33, -46 = -l*u + 5*x. Is u a multiple of 7?
False
Let p = -10 + 44. Is 17 a factor of p?
True
Suppose -3*x - 252 = -7*x. Is 11 a factor of x?
False
Suppose 4*l - 14 = -2*u + 20, 2*u = 6. Let i(g) = 3*g + 3*g + 0*g - l*g. Does 5 divide i(-5)?
True
Suppose 6*i = 3*i - 5*w + 54, -5*i + 90 = -w. Does 9 divide i?
True
Let j(o) = o**2 + o + 3. Let t = 7 - 3. Is j(t) a multiple of 9?
False
Let c = 4 + -1. Suppose -4*k - 20 = 0, c*k + 151 + 62 = 2*i. Is i a multiple of 29?
False
Does 2 divide 18/(-2)*(-20)/30?
True
Let n(y) = y**3 + 4*y**2 + 3*y + 4. Let d be n(-3). Does 21 divide -2 + d/(4/23)?
True
Let b be -7*(12/7)/1. Let x = -7 - b. Does 5 divide x?
True
Let x(k) = k**2 - 12*k - 44. Is 32 a factor of x(18)?
True
Let j = 6 - 4. Let r(m) = 5*m - 3. Does 7 divide r(j)?
True
Let a be (-6)/3 + (11 - 0). Let u = 5 - 0. Suppose u*t + 2*v = 38, -t + 4 + a = -5*v. Is 6 a factor of t?
False
Suppose -12 = 4*z + 16. Let c(i) = i**2 + 5*i + 4. Is 4 a factor of c(z)?
False
Suppose -3*s + 2*s = 0. Suppose 2*j + s*j - 4 = 0. Suppose -b - 3*c + 30 = -0*b, b - j*c = 5. Is b a multiple of 9?
False
Is 9 a factor of 1 + 28/(-20) + 904/10?
True
Let q(g) = g**2 + 22*g + 11. Let d be q(-19). Suppose -4*u - 61 = -373. Let b = d + u. Is 9 a factor of b?
False
Suppose 2*s = 2*l - 12, 0*l - 4*s - 20 = -2*l. Is l/(-6) - 48/(-9) a multiple of 2?
False
Let m be 1/((4 - 1)/21). Let s(c) = -m*c - 5*c + 2 - c. Is s(-2) a multiple of 18?
False
Is ((-4)/(-2))/((-2)/(-12)) a multiple of 5?
False
Let j be -2 + (-2)/((-2)/(-11)). Let i = 66 + j. Is i a multiple of 19?
False
Let m be (-5)/7 + 12/(-42). Let r(j) = -21*j**3 - j**2 - j. Is r(m) a multiple of 13?
False
Let f be 0/(-4 - (0 - 2)). Let w(c) = 2*c**2 + 41. Is 30 a factor of w(f)?
False
Suppose 2*q - 8 = -2. Let p be ((-2)/(-2)*100)/1. Suppose 44 = q*j - p. Does 16 divide j?
True
Let b(k) = -8*k + 48*k**3 - 2*k**2 - 7 + 6*k**2 - 47*k**3. Let g be b(-5). Let w(s) = s**3 - 9*s**2 + 7*s + 11. Does 2 divide w(g)?
False
Let m = -157 - -297. Suppose 0*u - m = -4*u. Is u a multiple of 16?
False
Suppose -6*r = -536 - 562. Does 50 divide r?
False
Suppose -63 + 463 = 8*d. Is 17 a factor of d?
False
Is 1/((-4)/8)*(0 + -3) a multiple of 2?
True
Suppose 3*b + 4 = -20. Let m(c) = -4*c - 16. Is m(b) a multiple of 16?
True
Suppose w + 2*w = 0. Suppose w = -z + 20 + 4. Does 12 divide z?
True
Suppose -3*w + 0*t - 3*t = -3, 10 = w - 2*t. Suppose -5*j + 5 = -w*j. Suppose 2*a - 3*u = -2*a + 127, -164 = -j*a + 2*u. Is a a multiple of 17?
True
Suppose -5*k = -k - 44. Let n = 24 - k. Does 13 divide n?
True
Let t(m) = m**2 - m + 1. Let w(b) = 2*b**3 + b**2 - 3*b + 1. Let x(i) = 2*t(i) - w(i). Let p be x(-1). Suppose -2*z + 40 = p*z. Is 4 a factor of z?
True
Let p = -6 - -6. Is 5 a factor of (3 + p)*10/6?
True
Let z(a) = 22*a. Is 11 a factor of z(2)?
True
Suppose -24 - 565 = -5*t - 2*d, -2*t + 244 = -2*d. Is t a multiple of 11?
False
Suppose 3*v = -3*i + 12, -v = 3*i - 2 - 6. Suppose -6*h + 44 = -i*h. Does 5 divide h?
False
Is 7 a factor of 4/18 + 935/45?
True
Is 35 a factor of (16/(-20))/4 + (-492)/(-10)?
False
Let d = 107 + -68. Suppose -4*i + 3*i - 2*x = -d, -54 = -2*i + 4*x. Is 5 a factor of i?
False
Is 5*(-1 + (-164)/(-20)) a multiple of 24?
False
Let k(m) = m**3 - 5*m**2 + 6. Let r be k(5). Suppose 4*p - 2*x = 12, -p - 3*x + r = p. Suppose -p*g + 32 + 4 = 0. Does 12 divide g?
True
Suppose -2*o = -f - 1, 0*o + 5*o = f + 10. Suppose 10 = o*h - 2*j + 1, 0 = -2*h + 4*j - 2. Let r(l) = -l**3 + 7*l**2 - 4*l - 2. Is 14 a factor of r(h)?
True
Let x(o) = -14*o. Let w be x(-1). Suppose 5*v + c = w, -v - 4*v + 3*c - 2 = 0. Suppose v*h - 17 = 4*m - 3*m, -m = h - 1. Is 3 a factor of h?
True
Let n(o) = -14*o + 1. Let t be n(1). Let g = 27 - 9. Let b = t + g. Does 5 divide b?
True
Let p(o) = -5*o**2. Let v be p(1). Is 9 a factor of (-17 - v)*(0 - 2)?
False
Let z be (5 + -11)*4/(-6). Let h(s) = s**3 - 2*s**2 + 2*s + 4. Does 22 divide h(z)?
True
Let s = 5 - -152. Suppose 2*w - 3*q = 55, -5*w + 0*q = -q - s. Is w a multiple of 13?
False
Suppose 93 = 2*s - 15. Is s a multiple of 9?
True
Suppose -10*m + 35 = -9*m. Is 7 a factor of m?
True
Let y(o) be the third derivative of -1/3*o**4 + 0*o + o**2 + 1/120*o**6 + 0 - 1/6*o**3 + 1/12*o**5. Is y(-6) a multiple of 8?
False
Is 5/10*444 + 2 a multiple of 32?
True
Let y = 18 + -1. Suppose -k = 2*a - y, 2*a = -3*k - a + 66. Does 9 divide k?
True
Let y = 0 + 64. Let g = 96 - y. Is g a multiple of 16?
True
Let j(n) = -n**2 + 10*n - 7. Let s = -12 + 18. Does 16 divide j(s)?
False
Let q(u) = u**2 - 7*u + 3. Is q(10) a multiple of 13?
False
Suppose -400 = -4*j + b, 4*j - 5*b = -2*b + 408. Is 7 a factor of j?
False
Let o(j) = j**2 + 4*j - 7. Does 7 divide o(3)?
True
Suppose 3*k - 469 = 4*q - 180, -k + 5*q = -100. Is k a multiple of 6?
False
Suppose 0*x - 2 = x, -3*w + 772 = x. Is 43 a factor of w?
True
Let o be (-19)/(-3)*(3 + 3). Suppose 30 + 70 = 4*n - 5*u, 2*u - o = -n. Does 15 divide n?
True
Let d = 19 + 9. Is 14 a factor of d?
True
Suppose 4*o - 2*n - 6 = 12, -2*n - 15 = -3*o. Is 8 a factor of o + -3 + (1 - -18)?
False
Suppose 4*k - 41 - 11 = -4*l, 5*l + 70 = 4*k. Let i = 25 - k. Is 8 a factor of i?
False
Let p(k) = k**3 + 6*k**2 + 2*k - 6. Let h be p(-5). Suppose -4*f = -7 - h. Suppose -5*u = z - 2, 0*z + f*u = 3*z - 25. Is 7 a factor of z?
True
Suppose -20 = -2*l - 3*l. Suppose -h - 5 = -3*x - x, -l*x = 5*h - 23. Suppose 4*d + 19 = 3*v, 15 = x*v + 4*d - 11. Is 6 a factor of v?
False
Suppose -35 = 2*y - 2*l + 57, 5*y = 2*l - 221. Let z = -2 - y. Is z a multiple of 14?
False
Suppose i - 2*i = 0. Suppose -4*t + 160 + 8 = i. Does 14 divide t?
True
Suppose 28 - 151 = -3*f. Suppose -f = -5*x + z - 0*z, x - z - 5 = 0. Does 5 divide x?
False
Let q = -4 + 4. Suppose q*u + 20 = 4*u. Let w(o) = -o**3 + 5*o**2 + 4*o - 7. Does 13 divide w(u)?
True
Let g be -6 - -9 - (1 + -108). Suppose -4*q - p = -0*q - g, 3*q + 5*p - 74 = 0. Is q a multiple of 13?
False
Let k be ((-4)/(-7))/(2/7). Suppose -4*l = -k*l - 36. Is l a multiple of 18?
True
Suppose 2*u - 1 = -2*h - 3*u, 4*h = -3*u + 23. Is h a multiple of 2?
True
Let b(p) = -p**2 - 7*p + 5. Let h be 4/(-14) + (-148)/(-28). Let x be b(h). Is -1 + (0 - 1) - x a multiple of 19?
False
Suppose -9 + 3 = 3*d. Let u be 2 + -1 + d*3. Is (27/u + 1)*-5 a multiple of 8?
False
Let a = 199 - 91. Is a a multiple of 27?
True
Let z be ((-45)/4 - 3)*-4. Let r = 97 - z. Does 15 divide r?
False
Suppose -f = 4*f - 10. Suppose 4*y + 16 + 0 = f*x, -3*y = -x + 10. Is 2 a factor of x?
True
Let j = 11 - 19.
|
{
"pile_set_name": "DM Mathematics"
}
|
t i = 6777.7 + -6778. What is the closest to -0.4 in -4, -0.2, i, 1/4?
i
Let g = -39 + 41. Let z be ((-9)/(-4))/(6/(-16)). Let m be (-568)/(-48) - 1/z. Which is the nearest to g? (a) 2 (b) -3 (c) m
a
Let r = -6 + 5. Let g = 14 - 9. Let d(n) = -6*n + 87. Let p be d(15). Which is the nearest to r? (a) 0.02 (b) g (c) p
a
Let v be (-73)/(-584) + 34/(-784). Which is the nearest to 0.5? (a) -0.4 (b) 0.3 (c) v (d) 0
b
Let w = -6.396 - -1331.396. What is the nearest to -0.1 in w, 4, -0.2, 3?
-0.2
Let i = 10.7 - 9.7. Let v be (-147 - -15)/12 + -2 + 4. Which is the nearest to i? (a) v (b) 1 (c) 0 (d) -5
b
Let r be ((-35)/(-28)*4 - 18/4)/(-1). Let c = -5/4 - -3/4. What is the nearest to r in 0.4, 1/11, c, -6?
c
Let m = 89 + -81. Suppose -m + 2 = -3*k. Suppose -l + k*t = -4*l - 2, 4*l - 9 = -5*t. What is the closest to 3 in -0.2, l, 0.3?
0.3
Let t = -48/209 - 65/627. What is the closest to 0 in 1, 2, t?
t
Let o be ((-6)/(288/(-40)))/((-10)/6). Which is the closest to -1/2? (a) 4 (b) o (c) -4 (d) -11
b
Let h be (12 - (2 - -5)) + 48/(-9). Which is the nearest to h? (a) -3 (b) -5 (c) -1 (d) -18
c
Let j = -8 - -49/6. Suppose -5*t - 7 = i, -t = i + 1 - 2. Let h be (-4 - -4)/5*1/t. Which is the closest to h? (a) -0.4 (b) -5 (c) j
c
Let v = -8226 - -41134/5. Let y(b) = b**2 - 4*b - 3. Let o be y(5). Suppose 3*g + 4 = 4*r, 0 = o*r + 2*r + 8. What is the closest to -0.1 in g, v, 0.2?
0.2
Let k be -9*(-11)/33 - (12 - 9). Which is the closest to k? (a) -2/3 (b) -3 (c) -1694
a
Let g be (32/(-1 + 9))/2. Let v = -4/29 - 46/87. What is the nearest to v in 2/13, 2/9, g?
2/13
Suppose 0 = 4*w + 1 + 11. Let b = -119.6 - 231.1. Let n = b + 351. What is the closest to 0.1 in w, -2/11, n?
n
Let l be (-5)/(15/9) - 2*1. What is the nearest to -4265 in 1/4, -0.3, l?
l
Let q be -27 - (-9 + -12) - (1 + 1). What is the closest to 1 in q, -0.5, 0.5, 1?
1
Let f = 7048.4387 + -7048. Let b = f + -0.0387. Let u be (-1 + -1)*-1*-1. What is the nearest to 1 in u, b, -6/11?
b
Let v be 9176/(-320) - 2/10. Let m = v + 225/8. What is the nearest to 3 in -0.3, 1, m?
1
Suppose -44 = 19*p + 2 + 11. What is the nearest to 2/9 in -2/3, p, -9, 0.2?
0.2
Let v = 56 - 15. Suppose 32*j + 54 = v*j. Which is the nearest to 1? (a) 5 (b) -5 (c) j
a
Let c = 58 - 57.5. Let w(q) = 2*q + 12. Let r be w(-8). What is the closest to -2 in c, r, -0.1?
-0.1
Suppose 24 = 4*h + x - 16, -3*x + 48 = 4*h. Let j be (-51)/(-105) - h/45. Which is the nearest to -2/7? (a) -7 (b) j (c) -0.4
c
Let o be (-2)/15 - 2/((-30)/(-43)). Let a be ((-2534)/(-140) + -18)*(-1 - 3). Let c = 3.3 - 3. What is the closest to 0.2 in a, c, o?
c
Let w be 603/36 + -12 + (-2)/8. Which is the nearest to 2/5? (a) w (b) -5 (c) 0.4
c
Suppose 2*w = 112*w + 22*w. Let l = -2.2 - -1.8. Which is the closest to w? (a) l (b) -0.07 (c) -3/4 (d) 0.5
b
Let y = 28891/7 - 4127. Which is the nearest to -1/2? (a) -0.3 (b) y (c) -1/76 (d) 1
a
Let y = 21 - 28. Let m(s) = s**2 + 6*s - 7. Let x be m(y). Which is the closest to 1? (a) -10/3 (b) x (c) 3
b
Let x = -53.9 - -54. Let k = 0.368 + -0.468. What is the closest to 2 in k, -1, x?
x
Let y = 0.2 - -0.1. Let j = -95 + 100. Let p be 1 + -2*4/24. Which is the closest to p? (a) 0.1 (b) y (c) j
b
Let w = 44.934 + -45.354. Which is the closest to 0.1? (a) -0.5 (b) w (c) 8
b
Suppose 6*q - 2*q = -4*h - 16, -4*q - 5*h = 18. Let k = -2233/9 - -248. What is the nearest to 2 in -11, q, k?
k
Let j = 0.25 - -12.75. Let b = -482.1 - -264.8. Let h = -217 - b. What is the nearest to h in 0.3, j, 2?
0.3
Let j = -3 + 2.9. Let o = -411.25 - -9.25. Let g = o - -404. Which is the nearest to j? (a) g (b) -11 (c) -0.1
c
Let z = 16453/6 - 2743. Which is the nearest to 2? (a) 0.4 (b) 41 (c) z
a
Let m = 0.4 + -0.7. Suppose 32 = -4*v + 4*y, -4*v - 3*y - 21 = 2*v. Let z be -5 + (v - -8) - 15/3. Which is the closest to 0? (a) z (b) 2/5 (c) m
c
Let m = 16.072 + -16.072. What is the closest to 50 in -0.6, 0.2, m, -3?
0.2
Let l = 22.89 - 21.89. Which is the nearest to -0.5? (a) -6 (b) 69 (c) l
c
Let z be 2*(-2)/2*1/(-10). Let u = -807 + 815. What is the nearest to 0 in -0.4, u, z, 1?
z
Let w = -467 + 463. Let n be (8/2 - 2)*w/(-40). Which is the closest to -1/3? (a) n (b) 5 (c) 1/4 (d) -0.5
d
Let h = 422/7 - 426/7. Which is the nearest to -0.1? (a) -49 (b) -1 (c) 5 (d) h
d
Let s = -347.087 + 347. Let h = s - -0.587. Which is the nearest to -0.2? (a) 0.7 (b) h (c) -3 (d) -2
b
Let h be 3/9*5/((-35)/(-231)). Let w = 3/2 + 0. What is the closest to h in w, 5, -3?
5
Let m = -34799 + 34799. Let z(s) = -s**2 + 2*s + 3. Let f be z(-2). Which is the closest to m? (a) f (b) -1 (c) -15
b
Let z = 1.71 + 67.29. Let d = 151 - z. Let w = d - 75. What is the closest to -2 in -3/2, w, -1?
-3/2
Let r = 998 + -998. Which is the closest to r? (a) 3/2 (b) -5 (c) 2/21
c
Suppose -72 + 177 + 168 = -21*x. Let z = 35 - 35. What is the nearest to 1 in x, 3, -0.2, z?
z
Suppose -268*q + 2 = -275*q - 5. Let x = 0.1 - 0.1. Which is the closest to q? (a) x (b) -0.03 (c) -1/5
c
Let p = -0.06532 - -1.36532. Which is the nearest to 2/9? (a) -11/3 (b) p (c) 4
b
Let x(r) = -30*r + 150. Let o be x(1). Let a(l) = 3*l**2 + 3*l - 8. Let j be a(6). Let w = j - o. What is the nearest to w in 3/7, 2/5, 1?
2/5
Let q = -0.37114 - -0.17114. Which is the closest to -4? (a) q (b) -0.4 (c) 5 (d) 21
b
Let n = -2797 - -2797.1. What is the closest to -0.1 in -1, 180, n, 0?
0
Let x = 79.44 + 0.56. Let g = x + -83. Let s = 0.1 - 0.3. What is the closest to 2 in g, 1, s?
1
Let k = -721 - -83. Let h = 643 + k. Which is the nearest to -1? (a) -1 (b) h (c) 0.4 (d) -1/2
a
Let d = 52.99 + -4.19. Let k = d - 49. What is the closest to 4/7 in 0.2, -2, k, 2?
0.2
Suppose -591 = 16*w - 575. Let d = 4.3 - 4.2. Which is the closest to d? (a) -2/23 (b) 2 (c) w
a
Let s = -4.9 + 14.9. Let h = s - 13. Let r = -13 - -12.94. What is the nearest to 2 in r, 3, h?
3
Let r = -82/55 + 356/165. Which is the nearest to 0? (a) r (b) 5/2 (c) -3 (d) -0.025
d
Let s = -86.88 - -85.88. Let d = -29 + 29.1. What is the nearest to s in 3, d, -3/7, 0.2?
-3/7
Let b = -2349 - -2348.76. What is the closest to 4/9 in 5, b, -5?
b
Let d(r) be the second derivative of -9*r**3/2 + 161*r**2/2 + 139*r - 1. Let x be d(6). What is the nearest to 1 in x, 6, 2/7?
2/7
Let j be 4/26 + 2187/(-7371). What is the closest to -2/19 in -3/2, 20, j?
j
Let v = -26.8 - -27. Let n = -980.8 - -981. Let z be (2/(-9))/(0 - -1). Which is the closest to n? (a) 3/8 (b) v (c) z
b
Let n = 1096 + -3290/3. Let d = 0.28 - 0.18. Let u(t) = t - 14. Let c be u(10). What is the nearest to d in 4, c, n?
n
Let k(o) = 2*o**2 - 12*o - 4. Let u(s) = -s**2 - 6*s + 33. Let x be u(-9). Let w be k(x). Which is the closest to -1? (a) 0 (b) w (c) -3
a
Let d = 16.7 + -19.7. Let i = 47 + -58. Which is the nearest to i? (a) d (b) -5 (c) 0.3
b
Let l = 2 - 2. Let u be 9/270*-10*27. Which is the closest to l? (a) u (b) 0 (c) 5
b
Let s be (-94)/(-112) - (44 + -52 + (-65)/(-8)). Which is the nearest to 0? (a) 0.5 (b) 14 (c) -1/6 (d) s
c
Let y = 0.1 - -0.1. Let g = -0.585 + 1.085. Let f = -32 - -34. What is the closest to y in g, 2/15, f?
2/15
Let o = -607 - -607.0578. Let r = 0.0422 + o. Which is the closest to r? (a) -1/3 (b) -0.5 (c) -5
a
Suppose 112*k + 352 = 156*k. What is the closest to 1 in 69, 0.3, k?
0.3
Let x = -6000.1 - -5998.1. Let z = -1073/23415 - 2/1115. Which is the nearest to 0? (a) z (b) -4 (c) x
a
Suppose 3*u = 3*u - 16*u. Which is the closest to -5? (a) 2 (b) 1 (c) u
c
Let c = 22.2 + -24.2. Let b = 9 + -8.5. What is the nearest to 0 in c, b, -0.3, -14?
-0.3
Let t be (-2)/2 - 2/2. Suppose 14*y + 414 = -6. Let q be y/(-45) + t/(-6). What is the nearest to q in -0.05, -1/5, 4?
-0.05
Suppose -5*h + 6 = -9, 3*k = 3*h - 6. Let y = 13 + -8. Let x(u) = -u**3 + 18*u**2 - u + 22. Let t be x(18). Which is the closest to -0.1? (a) y (b) t (c) k
c
Let y be 1880/1175 + (-49)/35. Let s = 4 + 0. What is the closest to 107 in s, -2/9, y?
s
Let g = -38.083 - -0.083. Let k = -38.2 - g. Let x(m) = -2*m**2 - 26*m + 29. Let w be x(-14). Which is the closest to w? (a) 0 (b) 5 (c) k
a
Let w(q) = 2*q + 18. Let n be w(16). Let y = 42 - n. Let i be (-14)/y*(-10)/7.
|
{
"pile_set_name": "DM Mathematics"
}
|
14)*(j + 1)**2
Let o be (-4)/(20 + -13 + -5 + -14). Solve o*l**3 + 4/3*l**2 - 1/3*l**4 + 0 - 4/3*l = 0.
-2, 0, 1, 2
Let a(u) be the first derivative of 5*u**3/3 - 3525*u**2 + 2485125*u + 530. Find w such that a(w) = 0.
705
Suppose k - a = 5, -2086*k + 2088*k - 8*a = 10. Solve -4*v - 2/3*v**k + 0 - 10/3*v**4 + 14/3*v**3 + 10/3*v**2 = 0.
-6, -1, 0, 1
Suppose 4*v - 7*v = -6*v. Suppose b - 4*m - 22 = v, -2*b - 2*b = 5*m - 4. Factor 15*d**3 - 28*d**3 + 12*d**3 - b*d**2.
-d**2*(d + 6)
Let d(n) be the second derivative of -3*n**5/80 - 99*n**4/16 - 174*n**3 - 1992*n**2 + 32*n + 16. Factor d(b).
-3*(b + 8)**2*(b + 83)/4
Let w(y) be the second derivative of -y**5/10 - 6*y**4 - 119*y**3 - 578*y**2 + 3*y - 111. Suppose w(v) = 0. What is v?
-17, -2
Let a(w) be the third derivative of w**6/120 + 7*w**5/20 + 7*w**4/3 + 6*w**3 - 2*w**2 - 908*w. Factor a(n).
(n + 1)*(n + 2)*(n + 18)
Let k be (-48)/(-510)*((-1706)/(-72) - 292/(-5256)). Find h such that 40/17*h - 2/17*h**2 - k = 0.
1, 19
Let r be (9 + 45/(-5))/((-16)/(-56)*7). Find x such that r*x**2 - 52/5*x + 48/5 + 4/5*x**3 = 0.
-4, 1, 3
Let d(t) be the third derivative of -72*t**7/35 - 317*t**6/20 - 813*t**5/20 - 63*t**4/2 - 10*t**3 - t**2 - 10*t + 19. Solve d(g) = 0 for g.
-2, -5/18, -1/8
Let o = -127 + 131. Factor 7*p**3 + 7*p**3 - 8*p**3 - 8*p + 8*p**o - 8*p**2 + 7*p**5 - 5*p**5.
2*p*(p - 1)*(p + 1)*(p + 2)**2
Let k(c) be the first derivative of 2/27*c**3 + 139 + 2/3*c + 5/9*c**2 - 1/18*c**4. Solve k(y) = 0.
-1, 3
Suppose 0 = -4*x + 5*v + 12, -3*x - 3*v + 7 + 2 = 0. Factor 6 + 45*a + 36*a + x*a**2 - 6.
3*a*(a + 27)
Let j(o) be the first derivative of -1/32*o**4 + 9 + 0*o**3 + 0*o + 5/2*o**2 + 1/240*o**5. Let x(z) be the second derivative of j(z). Find y such that x(y) = 0.
0, 3
Factor -359/2 + 361/4*z - 1/4*z**2.
-(z - 359)*(z - 2)/4
Let y(c) be the first derivative of 34 - 3/5*c**5 + 7*c**3 + 3/2*c**2 - 18*c - 3/4*c**4. Let y(f) = 0. What is f?
-3, -1, 1, 2
Let d = 79922 - 79918. Factor -5/4*r**3 + 1/4*r**d + 0*r + r**2 + 0.
r**2*(r - 4)*(r - 1)/4
Let g be ((-96)/(-40)*(-550)/77)/((-54)/28). Solve -g - 32/9*r + 4/9*r**2 = 0 for r.
-2, 10
Let t be ((-270)/(-20) + -12)*4. Let p(q) be the first derivative of -1/11*q**2 + 2/55*q**5 + 2/11*q - 13 + 1/11*q**4 - 1/33*q**t - 4/33*q**3. Factor p(w).
-2*(w - 1)**3*(w + 1)**2/11
Let v be (12/30)/(-2 + (-42)/(-20)). Suppose 4*t - 4 = -b, 3*t + 7 + 3 = -v*b. Suppose z**5 + z**t + 4*z + 23 - 19 - z**4 - 5*z**3 + 4*z = 0. Calculate z.
-1, 2
Suppose -j = -6 + 1. Suppose j*u - a - 10 - 12 = 0, -5*a = -2*u + 18. Solve -o**5 + 2*o**5 - 3*o**2 + 4*o - 5*o + 2*o**u + o**2 = 0.
-1, 0, 1
Factor -109/2 + 111/4*h - 1/4*h**2.
-(h - 109)*(h - 2)/4
Let v(t) be the first derivative of 2*t**3/33 + 180*t**2/11 + 16200*t/11 + 2794. Factor v(d).
2*(d + 90)**2/11
Suppose -9*d - 1 = -46. Find a, given that d + 1390*a - a**2 + 2*a**2 - 1396*a = 0.
1, 5
Find z such that -12*z + 82/7*z**3 + 2/7*z**5 + 0 - 34/7*z**4 + 34/7*z**2 = 0.
-1, 0, 1, 3, 14
Let r = 33077/21 + -1575. Solve -r*l**3 - 2/21*l**4 + 0 + 8/21*l + 8/21*l**2 = 0 for l.
-2, -1, 0, 2
Let r(n) be the second derivative of -6 + 0*n**2 + 1/24*n**4 + 2/3*n**3 + 5*n. Factor r(o).
o*(o + 8)/2
Solve -66/5*h - 912/5 + 6/5*h**2 = 0.
-8, 19
Let j(d) = d**2 - 35*d + 222. Let w be 34 + 0 + (-1 - 6). Let t be j(w). Solve 0*f**2 + t*f**4 + 3/2*f**5 + 0 + 0*f**3 + 0*f = 0 for f.
-4, 0
Let g = -9056 - -9059. Let y(f) be the third derivative of 0*f**g + 7/160*f**6 + 0*f**4 - 1/448*f**8 + 0*f + 1/20*f**5 + 0 + 1/140*f**7 + 17*f**2. Factor y(r).
-3*r**2*(r - 4)*(r + 1)**2/4
Let r = -770 + 39. Let y be (-11 + r/(-51))*6/10. Determine z, given that 30/7*z - 75/7 - 3/7*z**y = 0.
5
Let b(x) be the second derivative of -x**7/126 - 29*x**6/90 - 73*x**5/20 - 59*x**4/36 + 448*x**3/9 - 98*x**2 - 37*x - 13. Let b(c) = 0. What is c?
-14, -3, 1
Factor -1354/3*l + 2/3*l**4 + 0 - 450*l**3 - 902*l**2.
2*l*(l - 677)*(l + 1)**2/3
Suppose -8/7*a**2 - 3020/7*a + 216 = 0. What is a?
-378, 1/2
Let u be (-155)/(-10)*-2 + 19 + (0 - -14). Factor -16/3*k**u - 2/3*k**4 + 0 + 0*k + 4*k**3.
-2*k**2*(k - 4)*(k - 2)/3
Let a(b) = 20*b**2 - 645*b + 5. Let x(y) = 3*y**2 - y + 1. Let j(l) = -a(l) + 5*x(l). Determine q so that j(q) = 0.
0, 128
Suppose 189 = -2*u - 19*u. Let t be (u/66)/(3 + 125/(-40)). Suppose -4/11*w**3 - 9/11 + t*w - 1/11*w**4 + 2/11*w**2 = 0. Calculate w.
-3, 1
Let z be (1/(-2))/(1/(-10)). Suppose 97*i = 72*i + 71 + 54. Suppose -13 + 8 + 5*q**3 - z*q - i*q**2 + 10*q**2 = 0. What is q?
-1, 1
Let i(g) be the third derivative of g**8/56 + 59*g**7/420 + 23*g**6/60 + 11*g**5/30 + 1627*g**2. Factor i(q).
q**2*(q + 2)**2*(12*q + 11)/2
Let u be 807481/505932 - (-40)/(-28). Let q = -1/1268 + u. Factor -539/6*k + q*k**5 - 19/6*k**4 - 35/3*k**2 - 343/6 + 53/3*k**3.
(k - 7)**3*(k + 1)**2/6
Factor 0*t - 7/3*t**2 + 1/2*t**3 + 16/3.
(t - 4)*(t - 2)*(3*t + 4)/6
Let h(t) = -124*t - 138. Let j(m) = -m**2 - 126*m - 146. Let p(v) = 3*h(v) - 2*j(v). Suppose p(u) = 0. Calculate u.
-1, 61
Let i(k) be the third derivative of k**8/10080 + 2*k**7/315 + k**6/24 - k**5/60 + 2*k**3/3 + 30*k**2. Let r(s) be the third derivative of i(s). Factor r(p).
2*(p + 1)*(p + 15)
Let s(y) be the third derivative of y**6/60 - 37*y**5/10 + 345*y**4/4 - 2525*y**3/3 + 22*y**2 - 63*y. Factor s(a).
2*(a - 101)*(a - 5)**2
Let l(k) be the second derivative of -k**7/945 - k**6/108 - 7*k**5/270 - k**4/36 - 29*k**2 - 2*k + 39. Let w(q) be the first derivative of l(q). Factor w(z).
-2*z*(z + 1)**2*(z + 3)/9
Suppose 0 = 5*g - 3*y - 4, g + 2*g - 12 = -3*y. Factor 4*h**2 + g*h**3 - 19*h**2 - 5*h**4 + 18*h**3.
-5*h**2*(h - 3)*(h - 1)
Let u(x) = x**2 + 126*x + 1667. Let p be u(-15). Find b, given that -9/2*b**2 - p - 13/2*b = 0.
-1, -4/9
Let -1/2*x**4 + 0 + 7*x**3 + 17*x + 49/2*x**2 = 0. Calculate x.
-2, -1, 0, 17
Let p(m) = 2*m**2 - 10*m + 5. Let a(g) = -g**2 + 3*g - 2. Let i be 101/(-1) + (-18)/9. Let o = 92 + i. Let z(u) = o*a(u) - 4*p(u). Factor z(l).
(l + 2)*(3*l + 1)
Let q(x) be the second derivative of 1/15*x**6 - 1/20*x**5 + 0*x**3 - 1/6*x**4 + 4*x - 1 + 0*x**2 + 1/42*x**7. Determine h, given that q(h) = 0.
-2, -1, 0, 1
Let i(v) = 3*v**4 + v**3 - v**2 - 2*v + 1. Let n(t) = -7*t**4 + t**3 - 171*t**2 - 277*t + 446. Let f(p) = 4*i(p) + n(p). Determine d, given that f(d) = 0.
-5, -3, 1, 6
Let h = 178709/3 + -59569. Let -20/3*o - 16/3 + 2/3*o**3 - h*o**2 = 0. Calculate o.
-2, -1, 4
Let s be (((-150)/16)/(306/136))/(20/(-9)). Solve -21/8*i**2 - s*i - 9/8*i**3 - 3/8 = 0 for i.
-1, -1/3
Let z be 150/84 + 9/42. Let w(k) be the first derivative of 1/10*k**5 + 0*k + 1/3*k**3 - 33 + 0*k**z - 3/8*k**4. Factor w(n).
n**2*(n - 2)*(n - 1)/2
Let v = -1043/72 + 349/24. Let z(r) be the third derivative of 0*r - 7/90*r**5 + 0*r**3 - r**2 - v*r**4 - 1/36*r**6 + 0. Determine k so that z(k) = 0.
-1, -2/5, 0
Let f(o) be the first derivative of -2*o**5/55 + 29*o**4/22 + 256*o**3/33 + 12*o**2 - 3816. Find i such that f(i) = 0.
-2, 0, 33
Let q = -143/118 - -72/59. Let d = 1411/590 + q. Determine l, given that -d*l**3 + 4/5*l**4 + 4/5*l**5 - 4/5*l**2 + 8/5*l + 0 = 0.
-2, -1, 0, 1
Suppose -12 = -4*y - 0*y. Suppose -3*w + 4*t - 7 = -6*w, -5*t + 5 = y*w. Determine x, given that -8/3*x**4 + 8/3*x**2 + 0 - 2*x + 4/3*x**3 + 2/3*x**w = 0.
-1, 0, 1, 3
Let n = 390 + -386. Determine u, given that 95*u + 201 - n*u**3 + 5 - 80*u**2 - 38 - 3*u = 0.
-21, -1, 2
Let h(k) be the third derivative of -k**8/1512 + 46*k**7/945 - 2*k**6/9 - 168*k**5/5 - 460*k**4 - 2400*k**3 - 3473*k**2. Determine f so that h(f) = 0.
-6, -2, 30
Let y(p) be the first derivative of -p**4/20 + 1547*p**3/5 - 7179627*p**2/10 + 3702294323*p/5 + 231. Let y(z) = 0. What is z?
1547
Let q(d) be the second derivative of -3*d**5/20 + 431*d**4/2 - 1721*d**3/2 + 1290*d**2 + 16*d - 131. Let q(t) = 0. What is t?
1, 860
Let w(y) = y**3 - y**2 + y. Let q be w(1). Let f(z) = z + 4. Let o be f(q). Factor 103 + 5*r**3 - o*r - 55 - 38 - 10*r**2.
5*(r - 2)*(r - 1)*(r + 1)
Let i(t) = -80*t**3 + 2*t + 1. Let a be i(-1). Let c = -75 + a. Factor -249*h - 10*h**4 + 12*h**c - 7*h**4 - 60*h**3 - 125 - 51*h - 230*h**2.
-5*(h + 1)**2*(h + 5)**2
Let u(s) be the third derivative of -s**6/1380 - s**5/690 + 2*s**4/69 + 4*s**3/23 + 521*s**2 - 2. Factor u(q).
-2*(q - 3)*(q + 2)**2/23
Factor 2/11*c**2 - 1756/11 -
|
{
"pile_set_name": "DM Mathematics"
}
|
11036 is divided by 3580.
296
Calculate the remainder when 260357 is divided by 998.
877
Calculate the remainder when 476005 is divided by 90.
85
What is the remainder when 31523 is divided by 29041?
2482
What is the remainder when 537079 is divided by 498?
235
Calculate the remainder when 1809884 is divided by 32905.
109
What is the remainder when 1210577248 is divided by 113?
112
Calculate the remainder when 1153091 is divided by 1734.
1715
Calculate the remainder when 604867 is divided by 4415.
12
What is the remainder when 528685 is divided by 528679?
6
What is the remainder when 606962 is divided by 100416?
4466
What is the remainder when 4482472 is divided by 742?
50
Calculate the remainder when 27496869 is divided by 2088.
2085
Calculate the remainder when 207096985 is divided by 5403.
5398
What is the remainder when 41609417 is divided by 3170?
3167
What is the remainder when 803866 is divided by 77?
63
What is the remainder when 18329390 is divided by 3054894?
26
What is the remainder when 60129 is divided by 20038?
15
Calculate the remainder when 90208508 is divided by 172.
12
Calculate the remainder when 332010 is divided by 6295.
4670
What is the remainder when 199877506 is divided by 37?
28
What is the remainder when 3562973 is divided by 824?
821
What is the remainder when 3811720 is divided by 294?
10
What is the remainder when 326193 is divided by 54361?
27
What is the remainder when 54835 is divided by 532?
39
Calculate the remainder when 122152227 is divided by 206.
201
Calculate the remainder when 211303 is divided by 1535.
1008
Calculate the remainder when 6598838 is divided by 3.
2
Calculate the remainder when 5948663 is divided by 256.
247
Calculate the remainder when 936933 is divided by 468433.
67
What is the remainder when 22690346 is divided by 87?
50
Calculate the remainder when 4026623 is divided by 251661.
47
What is the remainder when 3026147 is divided by 533?
306
Calculate the remainder when 17937 is divided by 23.
20
What is the remainder when 3183908 is divided by 1212?
1196
Calculate the remainder when 1540260 is divided by 34228.
0
Calculate the remainder when 98995325 is divided by 3712.
3709
Calculate the remainder when 5432230 is divided by 46.
44
What is the remainder when 2994 is divided by 2147?
847
Calculate the remainder when 7573491 is divided by 1514674.
121
What is the remainder when 9900 is divided by 3166?
402
Calculate the remainder when 1294570 is divided by 456.
442
What is the remainder when 300723 is divided by 100240?
3
Calculate the remainder when 441670 is divided by 147194.
88
What is the remainder when 504751 is divided by 252191?
369
What is the remainder when 19071687 is divided by 68?
67
What is the remainder when 36423 is divided by 311?
36
Calculate the remainder when 236158 is divided by 4997.
1299
Calculate the remainder when 100627 is divided by 661.
155
Calculate the remainder when 128452 is divided by 7529.
459
Calculate the remainder when 45581662 is divided by 2979.
2962
Calculate the remainder when 2876676 is divided by 9818.
2
Calculate the remainder when 603445 is divided by 4308.
325
What is the remainder when 285144 is divided by 2107?
699
What is the remainder when 7088265 is divided by 2605?
60
Calculate the remainder when 1014878848 is divided by 507439423.
2
Calculate the remainder when 141860 is divided by 8204.
2392
What is the remainder when 2111791 is divided by 527943?
19
What is the remainder when 448876 is divided by 74807?
34
What is the remainder when 302714 is divided by 2365?
2359
Calculate the remainder when 97532 is divided by 1341.
980
What is the remainder when 3494539 is divided by 448?
139
What is the remainder when 25156 is divided by 78?
40
Calculate the remainder when 872493 is divided by 49.
48
What is the remainder when 47528793 is divided by 335?
333
What is the remainder when 539735 is divided by 1812?
1571
What is the remainder when 1603036 is divided by 350?
36
Calculate the remainder when 2294559 is divided by 2312.
1055
What is the remainder when 5244832 is divided by 5244825?
7
What is the remainder when 57860598 is divided by 259?
257
Calculate the remainder when 23354 is divided by 7689.
287
Calculate the remainder when 558153 is divided by 63.
36
What is the remainder when 4371448 is divided by 3118?
12
Calculate the remainder when 245933 is divided by 81659.
956
Calculate the remainder when 620816 is divided by 88627.
427
What is the remainder when 98903437 is divided by 85?
72
What is the remainder when 12935524 is divided by 1839?
1837
What is the remainder when 15663984 is divided by 1166?
1106
Calculate the remainder when 106595 is divided by 97.
89
What is the remainder when 7506845 is divided by 309?
308
What is the remainder when 45817476 is divided by 431?
21
What is the remainder when 36574 is divided by 1636?
582
What is the remainder when 1371665 is divided by 1034?
581
Calculate the remainder when 6677275 is divided by 17.
15
What is the remainder when 33493002 is divided by 24?
18
Calculate the remainder when 56186 is divided by 90.
26
What is the remainder when 69854878 is divided by 21066?
22
What is the remainder when 5331 is divided by 2982?
2349
What is the remainder when 947150 is divided by 306?
80
What is the remainder when 6211211 is divided by 37?
21
Calculate the remainder when 5299862 is divided by 5299826.
36
Calculate the remainder when 2543839 is divided by 741.
727
What is the remainder when 36767486 is divided by 3971?
3968
Calculate the remainder when 67477265 is divided by 699.
698
What is the remainder when 2656303 is divided by 10842?
13
Calculate the remainder when 479969386 is divided by 43.
32
Calculate the remainder when 683782 is divided by 2124.
1978
What is the remainder when 3485003 is divided by 7027?
6638
Calculate the remainder when 1795168 is divided by 177.
34
Calculate the remainder when 6044615 is divided by 72.
71
What is the remainder when 36233836 is divided by 5939?
5936
What is the remainder when 4095025 is divided by 4094992?
33
Calculate the remainder when 270488 is divided by 52386.
8558
What is the remainder when 33780 is divided by 6707?
245
Calculate the remainder when 17391577 is divided by 462.
49
What is the remainder when 179626377 is divided by 11975091?
12
Calculate the remainder when 7666167 is divided by 79.
7
What is the remainder when 119517 is divided by 4007?
3314
What is the remainder when 541696 is divided by 135378?
184
What is the remainder when 108713914 is divided by 36237965?
19
Calculate the remainder when 13693644 is divided by 1482.
1446
What is the remainder when 19854093 is divided by 140?
133
Calculate the remainder when 2301605 is divided by 121114.
439
What is the remainder when 280314 is divided by 230?
174
What is the remainder when 17038962 is divided by 215?
212
Calculate the remainder when 50596 is divided by 2525.
96
Calculate the remainder when 725848 is divided by 21348.
16
Calculate the remainder when 24490715 is divided by 125.
90
What is the remainder when 650046 is divided by 82?
32
Calculate the remainder when 1278336 is divided by 1834.
38
What is the remainder when 24018070 is divided by 312?
310
What is the remainder when 1708862 is divided by 2163?
92
Calculate the remainder when 2006336 is divided by 4467.
653
What is the remainder when 137300 is divided by 5251?
774
What is the remainder when 12364702 is divided by 588795?
7
Calculate the remainder when 4561811 is divided by 2835.
296
Calculate the remainder when 1289078 is divided by 2119.
726
What is the remainder when 35790926 is divided by 83?
81
Calculate the remainder when 2345344 is divided by 101968.
80
What is the remainder when 126796486 is divided by 197?
194
Calculate the remainder when 7495643 is divided by 75.
68
What is the remainder when 214725 is divided by 525?
0
What is the remainder when 1522355 is divided by 507437?
44
Calculate the remainder when 27973075 is divided by 1062.
1057
Calculate the remainder when 71515112 is divided by 108851.
5
What is the remainder when 5904020 is divided by 61?
13
Calculate the remainder when 4457505 is divided by 11.
8
What is the remainder when 357886 is divided by 169?
113
What is the remainder when 205570 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
three dps?
0.001
Round 195340 to the nearest ten thousand.
200000
What is 22.313 rounded to one dp?
22.3
What is -0.001163 rounded to four decimal places?
-0.0012
What is 1.06314 rounded to one decimal place?
1.1
What is 113200000 rounded to the nearest one million?
113000000
Round 80.8 to the nearest ten.
80
What is -0.00277044 rounded to five decimal places?
-0.00277
Round 0.0033653 to four dps.
0.0034
What is 335.3 rounded to the nearest one hundred?
300
Round 34.48 to 0 dps.
34
What is -0.025754 rounded to 4 dps?
-0.0258
Round -0.02229 to 3 dps.
-0.022
Round 57300 to the nearest ten thousand.
60000
Round -62900 to the nearest 1000.
-63000
What is -2239500 rounded to the nearest 1000000?
-2000000
Round 494.88 to the nearest one hundred.
500
What is -38600 rounded to the nearest one thousand?
-39000
Round -18890 to the nearest 1000.
-19000
Round -1126.8 to the nearest 10.
-1130
What is 0.000189 rounded to five dps?
0.00019
What is 106.115 rounded to the nearest ten?
110
What is 1.7214 rounded to one decimal place?
1.7
What is 121340 rounded to the nearest 1000?
121000
Round 50350 to the nearest one thousand.
50000
What is 23000 rounded to the nearest one hundred thousand?
0
Round -5.5628 to 2 dps.
-5.56
What is -0.876 rounded to 1 decimal place?
-0.9
Round -0.0000022821 to seven dps.
-0.0000023
Round 0.7094 to 1 dp.
0.7
What is -0.00000004927 rounded to seven decimal places?
0
Round 0.0027853 to five dps.
0.00279
Round 4.096 to zero decimal places.
4
Round 1213500 to the nearest 10000.
1210000
What is 0.03397 rounded to two dps?
0.03
What is -204000 rounded to the nearest one million?
0
Round -4708 to the nearest 100.
-4700
What is -27.04 rounded to the nearest 10?
-30
What is -6634000 rounded to the nearest 100000?
-6600000
Round -1336800 to the nearest 10000.
-1340000
What is 0.000184 rounded to four dps?
0.0002
What is 0.00009778 rounded to 6 decimal places?
0.000098
What is 0.089292 rounded to three dps?
0.089
What is -1194.42 rounded to the nearest ten?
-1190
What is -10596 rounded to the nearest 1000?
-11000
What is -7.18 rounded to one dp?
-7.2
Round -0.4155 to one dp.
-0.4
What is -140950 rounded to the nearest one thousand?
-141000
What is 57490000 rounded to the nearest 1000000?
57000000
Round 0.0040406 to 3 decimal places.
0.004
Round -0.00000284693 to 7 dps.
-0.0000028
What is 65774 rounded to the nearest 100?
65800
What is -4149700 rounded to the nearest 100000?
-4100000
What is 9169500 rounded to the nearest 10000?
9170000
What is -0.1561 rounded to 2 dps?
-0.16
What is -0.096454 rounded to 4 dps?
-0.0965
What is 160130000 rounded to the nearest 1000000?
160000000
What is 277660000 rounded to the nearest 1000000?
278000000
Round -0.000183389 to six dps.
-0.000183
Round 0.08731 to three decimal places.
0.087
Round -3917 to the nearest one hundred.
-3900
Round -16399000 to the nearest one million.
-16000000
Round 0.0000013868 to seven decimal places.
0.0000014
Round -0.357914 to three dps.
-0.358
What is 0.000004389 rounded to 7 decimal places?
0.0000044
What is -2104 rounded to the nearest one thousand?
-2000
Round -0.00017233 to six decimal places.
-0.000172
What is -3528000 rounded to the nearest one million?
-4000000
Round 0.0000083943 to six dps.
0.000008
Round -0.67458 to two dps.
-0.67
What is -0.0023443 rounded to 5 decimal places?
-0.00234
Round -0.7204 to one dp.
-0.7
Round -45.35 to the nearest 10.
-50
Round -35070 to the nearest 1000.
-35000
Round -980000 to the nearest 1000000.
-1000000
Round 896900 to the nearest 10000.
900000
Round -214080 to the nearest one thousand.
-214000
What is 1066 rounded to the nearest one hundred?
1100
What is -622 rounded to the nearest one hundred?
-600
What is 16210 rounded to the nearest one thousand?
16000
Round 10.9532 to zero dps.
11
Round -357.84 to the nearest 100.
-400
Round -0.0000062 to 5 decimal places.
-0.00001
What is 10.62 rounded to one decimal place?
10.6
Round 0.05508 to 2 dps.
0.06
Round -40735000 to the nearest one million.
-41000000
Round 0.0016555 to 5 decimal places.
0.00166
What is -0.00016 rounded to three dps?
0
What is 7.4882 rounded to 1 dp?
7.5
What is -0.0041933 rounded to five dps?
-0.00419
What is -0.0079 rounded to two dps?
-0.01
Round -0.00024951 to six decimal places.
-0.00025
Round -2990 to the nearest one thousand.
-3000
What is -106.17 rounded to the nearest ten?
-110
Round 29438000 to the nearest one million.
29000000
Round 5536000 to the nearest 1000000.
6000000
What is -49030000 rounded to the nearest one million?
-49000000
Round -494700 to the nearest 10000.
-490000
Round 570500 to the nearest ten thousand.
570000
Round 0.26171 to two dps.
0.26
What is 0.31074 rounded to 1 dp?
0.3
Round 0.00093445 to five decimal places.
0.00093
What is -0.00000603 rounded to 6 decimal places?
-0.000006
Round -474200 to the nearest 10000.
-470000
What is -3.516 rounded to one dp?
-3.5
Round 2.63 to zero dps.
3
What is 11741.6 rounded to the nearest 100?
11700
Round 0.000310963 to five decimal places.
0.00031
Round -0.0000576 to four dps.
-0.0001
What is 141200 rounded to the nearest 10000?
140000
Round 42500000 to the nearest 1000000.
43000000
Round -1400000 to the nearest one hundred thousand.
-1400000
What is 15310 rounded to the nearest one thousand?
15000
Round -3080 to the nearest one thousand.
-3000
Round -31004000 to the nearest 1000000.
-31000000
What is -9600000 rounded to the nearest one million?
-10000000
Round -1154.8 to the nearest one hundred.
-1200
Round -2772000 to the nearest 100000.
-2800000
Round -44549.5 to the nearest 1000.
-45000
Round 0.0000000215 to seven dps.
0
What is -17426000 rounded to the nearest 1000000?
-17000000
Round -6.62 to the nearest ten.
-10
What is 0.000000141 rounded to 7 decimal places?
0.0000001
Round -3957200 to the nearest 100000.
-4000000
What is 0.0000006257 rounded to 7 dps?
0.0000006
Round -0.0000567 to 5 decimal places.
-0.00006
What is -0.000000736 rounded to 7 decimal places?
-0.0000007
Round 20.996 to the nearest ten.
20
Round 12.01 to the nearest integer.
12
What is 2574 rounded to the nearest one hundred?
2600
Round 788310 to the nearest one hundred thousand.
800000
Round 20472.7 to the nearest 1000.
20000
What is -0.0001159 rounded to six dps?
-0.000116
Round 221791 to the nearest 10000.
220000
What is -31240 rounded to the nearest one hundred?
-31200
Round 0.000645 to 4 dps.
0.0006
Round 3705000 to the nearest one million.
4000000
What is -56400000 rounded to the nearest 1000000?
-56000000
What is 0.14883 rounded to 3 decimal places?
0.149
Round -46700 to the nearest 1000.
-47000
Round 332928 to the nearest 1000.
333000
What is -27.8 rounded to 0 dps?
-28
What is -535890 rounded to the nearest 1000?
-536000
Round -0.000369 to 4 decimal places.
-0.0004
Round 236221 to the nearest 1000.
236000
What is 109.768 rounded to the nearest ten?
110
Round 3.2567 to 2 decimal places.
3.26
What is -407810 rounded to the nearest 100000?
-400000
Round 0.001688 to 4 dps.
0.0017
Round 29144000 to the nearest one million.
29000000
What is 3888 rounded to the nearest 100?
3900
Round -10422 to the nearest 1000.
-10000
Round -100490 to the nearest one thousand.
-100000
Round 74.417 to the nearest integer.
74
What is 0.000035675 rounded to six decimal places?
0.000036
Round 658400 to the nearest one thousand.
658000
Round 11093.1 to the nearest 100.
11100
Round -19631700 to the nearest 1000000.
-20000000
Round 2.916 to 1 dp.
2.9
What is 34244.6 rounded to the nearest 100?
34200
What is -0.03016 rounded to three decimal places?
-0.03
What is -0.000071551 rounded to six dps?
-0.000072
What is 0.00019051 rounded to four dps?
0.0002
Round 125.95 to the nearest ten.
130
What is -8103 rounded to the nearest 100?
-8100
Round 0.0000539 to five dps.
0.00005
Round -0.00000197 to six decimal places.
-0.000002
Round 0.0000094969 to 7 dps.
0.0000095
Round 0.000001237 to seven dps.
0.0000012
What is 0.000000447 rounded to 7 dps?
0.0000004
What is 0.000058 rounded to three decimal places?
0
What is -15981 rounded to the nearest one thousand?
-16000
Round -12600 to the nearest ten thousand.
-10000
What is -28932 rounded to the nearest ten thousand?
-30000
Round -4.0988 to 0 dps.
-4
Round -0.000000974 to 7 decimal places.
-0.000001
Round -1
|
{
"pile_set_name": "DM Mathematics"
}
|
sor of 9656 and 8023?
71
Calculate the highest common factor of 5763 and 3.
3
What is the greatest common divisor of 1560 and 68718?
78
Calculate the highest common divisor of 121090 and 130.
10
What is the greatest common factor of 305 and 185501?
61
What is the greatest common factor of 185 and 7575?
5
Calculate the highest common factor of 60166 and 112250.
898
Calculate the greatest common divisor of 591797 and 291.
97
Calculate the highest common divisor of 2818464 and 176.
176
What is the highest common divisor of 6384 and 1?
1
What is the highest common factor of 102375 and 78?
39
What is the greatest common divisor of 9180 and 8806?
34
Calculate the highest common divisor of 240 and 5120.
80
What is the highest common factor of 355320 and 47?
47
Calculate the greatest common factor of 4640 and 39092.
116
What is the greatest common divisor of 77 and 31696?
7
Calculate the greatest common divisor of 18096 and 858.
78
What is the greatest common divisor of 59553 and 13?
13
What is the highest common divisor of 70575 and 150?
75
Calculate the greatest common divisor of 610 and 2062715.
305
What is the greatest common divisor of 954 and 630594?
954
What is the greatest common factor of 654 and 12?
6
Calculate the greatest common divisor of 342 and 1813626.
342
What is the highest common factor of 1233 and 8768?
137
What is the highest common divisor of 254 and 1528064?
254
Calculate the greatest common divisor of 154 and 9394.
154
What is the highest common divisor of 89089 and 1925?
77
Calculate the greatest common divisor of 516934 and 198.
22
What is the highest common divisor of 47339 and 2?
1
Calculate the highest common divisor of 40 and 6430.
10
Calculate the greatest common factor of 8744 and 272.
8
Calculate the greatest common factor of 18116 and 112.
28
What is the highest common factor of 69618 and 738?
246
What is the highest common divisor of 5297268 and 12?
12
What is the greatest common divisor of 1449 and 158424?
483
What is the greatest common divisor of 124 and 35898?
62
Calculate the highest common factor of 488 and 247477.
61
Calculate the greatest common divisor of 4550 and 394849.
91
Calculate the greatest common divisor of 32472 and 55.
11
What is the highest common divisor of 10877 and 146?
73
What is the greatest common factor of 10448 and 304?
16
Calculate the highest common factor of 1382 and 2479999.
691
Calculate the highest common factor of 1004976 and 9970.
1994
Calculate the greatest common factor of 490143 and 114.
57
Calculate the greatest common factor of 161 and 15755.
23
Calculate the greatest common divisor of 166 and 338474.
166
What is the greatest common divisor of 2080 and 15704?
104
Calculate the highest common factor of 27090 and 112.
14
What is the highest common divisor of 76886 and 74?
74
Calculate the highest common factor of 779 and 1862.
19
What is the greatest common divisor of 98 and 3494?
2
Calculate the greatest common divisor of 1042449 and 86.
43
What is the highest common factor of 4856 and 32?
8
Calculate the greatest common factor of 31 and 1582147.
31
Calculate the highest common divisor of 330 and 55770.
330
Calculate the greatest common factor of 12259 and 115.
23
What is the highest common divisor of 165591 and 9?
9
What is the highest common divisor of 1521 and 19539?
117
Calculate the highest common divisor of 32 and 278.
2
Calculate the greatest common factor of 38467 and 4849.
13
What is the highest common factor of 3997 and 17?
1
Calculate the highest common factor of 5 and 147635.
5
Calculate the highest common divisor of 1033 and 172511.
1033
Calculate the greatest common factor of 1012 and 2453.
11
What is the highest common divisor of 1048 and 1673656?
1048
Calculate the greatest common divisor of 740 and 7585.
185
Calculate the highest common divisor of 736 and 1564.
92
Calculate the highest common factor of 19 and 137199.
19
What is the highest common factor of 946 and 30444?
86
What is the highest common factor of 1367217 and 1752?
219
What is the highest common factor of 3842416 and 16?
16
What is the highest common divisor of 349690 and 1734?
578
Calculate the highest common divisor of 4096 and 195456.
128
What is the highest common divisor of 45 and 591?
3
Calculate the greatest common factor of 18798 and 702.
78
Calculate the highest common factor of 858 and 15642.
66
Calculate the highest common divisor of 29 and 27.
1
Calculate the greatest common divisor of 3358 and 4393.
23
What is the highest common divisor of 2052 and 9720?
108
Calculate the highest common divisor of 2463 and 21.
3
What is the highest common factor of 550 and 196790?
110
What is the greatest common divisor of 607652 and 14567?
2081
What is the highest common divisor of 140 and 351610?
70
Calculate the greatest common factor of 3907274 and 14.
14
Calculate the greatest common divisor of 903 and 84.
21
Calculate the highest common factor of 480 and 860.
20
What is the highest common factor of 73 and 131035?
73
What is the greatest common divisor of 285 and 61313?
19
Calculate the highest common factor of 103 and 124939.
103
What is the greatest common factor of 7857 and 137061?
873
Calculate the greatest common factor of 1568 and 1029.
49
What is the highest common factor of 2669 and 177724?
157
What is the greatest common divisor of 652 and 18419?
163
Calculate the greatest common factor of 948 and 64140.
12
What is the highest common factor of 60 and 8370?
30
Calculate the highest common divisor of 210 and 17490.
30
What is the highest common divisor of 43 and 51729?
43
What is the greatest common divisor of 16125 and 30?
15
What is the highest common divisor of 25410 and 80?
10
What is the highest common factor of 304 and 344?
8
Calculate the highest common factor of 390 and 4075110.
390
Calculate the highest common factor of 11258 and 52.
26
Calculate the greatest common divisor of 1798 and 5684.
58
What is the greatest common divisor of 5385 and 195?
15
Calculate the greatest common factor of 19984 and 137390.
2498
Calculate the highest common factor of 420 and 54960.
60
Calculate the greatest common factor of 1162 and 830.
166
Calculate the greatest common divisor of 39 and 42627.
39
Calculate the highest common factor of 47608 and 16.
8
What is the greatest common divisor of 63425 and 375?
25
What is the highest common factor of 78360 and 5040?
120
Calculate the greatest common factor of 4428 and 1728.
108
What is the highest common factor of 33 and 263923?
11
What is the highest common divisor of 52 and 3010592?
52
What is the highest common factor of 39816 and 19592?
632
What is the greatest common factor of 1470 and 135?
15
What is the greatest common divisor of 27 and 12861?
9
What is the greatest common divisor of 159 and 145167?
159
Calculate the highest common factor of 42 and 27195.
21
What is the highest common factor of 450 and 16542?
18
Calculate the greatest common factor of 55992 and 732.
12
What is the greatest common factor of 104 and 54613?
13
What is the highest common factor of 459 and 108?
27
What is the highest common divisor of 66 and 24123?
33
What is the highest common factor of 21386 and 442?
34
What is the highest common factor of 345 and 57040?
115
What is the highest common factor of 8253 and 504?
63
What is the greatest common factor of 1522 and 12?
2
Calculate the highest common factor of 103670 and 350.
70
What is the greatest common divisor of 39646 and 32270?
922
What is the greatest common factor of 48 and 10590960?
48
Calculate the highest common factor of 64 and 891040.
32
What is the highest common divisor of 454 and 11123?
227
What is the greatest common factor of 2721 and 9977?
907
What is the highest common factor of 480 and 136380?
60
Calculate the greatest common divisor of 456255 and 18.
9
What is the highest common divisor of 16081 and 1469?
13
Calculate the highest common factor of 402737 and 67.
67
Calculate the greatest common factor of 40 and 1467320.
40
Calculate the greatest common factor of 1651 and 51308.
127
Calculate the highest common divisor of 32977 and 98.
49
Calculate the highest common factor of 157689 and 63.
63
What is the highest common factor of 1491435 and 115?
115
Calculate the greatest common factor of 371 and 257
|
{
"pile_set_name": "DM Mathematics"
}
|
the greatest common factor of 1207 and 1955?
17
What is the greatest common divisor of 931848 and 7872?
984
Calculate the highest common divisor of 9911 and 4862.
187
What is the highest common divisor of 30 and 1090?
10
Calculate the greatest common factor of 517194 and 59.
59
Calculate the greatest common divisor of 4 and 77108.
4
Calculate the greatest common divisor of 2701165 and 5.
5
Calculate the greatest common divisor of 1440 and 60160.
160
What is the highest common factor of 6084 and 5328?
36
What is the highest common factor of 8418 and 1830?
366
Calculate the greatest common factor of 3913 and 3754244.
559
Calculate the highest common divisor of 17812 and 2774.
146
What is the greatest common factor of 598 and 862615?
299
Calculate the highest common factor of 119 and 121023.
119
What is the highest common factor of 68885 and 4255?
115
Calculate the greatest common divisor of 8996 and 91.
13
What is the greatest common factor of 12 and 336948?
12
Calculate the highest common divisor of 1127 and 1472.
23
What is the greatest common divisor of 960 and 166?
2
What is the highest common divisor of 4394 and 1586?
26
Calculate the greatest common divisor of 114686 and 6435.
143
Calculate the greatest common factor of 38869 and 376.
47
Calculate the highest common factor of 1421 and 111157.
29
What is the highest common factor of 161570 and 214?
214
What is the greatest common divisor of 3056 and 7856?
16
What is the greatest common divisor of 2889 and 19367?
107
Calculate the highest common divisor of 12909 and 156.
39
What is the greatest common divisor of 1146208 and 392?
392
Calculate the highest common factor of 1036 and 448.
28
Calculate the highest common factor of 17415 and 215.
215
Calculate the highest common factor of 255 and 11705.
5
What is the greatest common factor of 293100 and 210?
30
Calculate the greatest common divisor of 319 and 9309.
29
Calculate the greatest common factor of 30276 and 36.
36
Calculate the greatest common divisor of 99246 and 203.
7
Calculate the highest common factor of 2150 and 1170030.
430
Calculate the greatest common factor of 403 and 84878.
31
Calculate the greatest common divisor of 23184 and 108.
36
Calculate the highest common divisor of 152 and 59356.
76
What is the highest common divisor of 680935 and 1445?
85
Calculate the highest common factor of 31561 and 185.
37
What is the highest common factor of 2164882 and 136?
34
Calculate the highest common factor of 72 and 115848.
72
What is the highest common divisor of 1472 and 72864?
736
Calculate the highest common factor of 1226391 and 31.
31
What is the highest common factor of 988 and 874?
38
What is the greatest common divisor of 6722816 and 256?
256
Calculate the highest common divisor of 42896 and 112.
112
Calculate the greatest common factor of 4761 and 2.
1
Calculate the highest common factor of 2752 and 5607200.
1376
Calculate the highest common divisor of 9 and 1316853.
9
Calculate the highest common factor of 36572 and 164.
164
What is the greatest common factor of 352721 and 37?
37
Calculate the greatest common divisor of 17271 and 6327.
171
What is the highest common factor of 33098 and 6422?
494
What is the highest common divisor of 1885 and 3683?
29
What is the highest common divisor of 3403 and 8549?
83
What is the greatest common divisor of 1414 and 1326938?
202
Calculate the highest common divisor of 87543 and 1278.
639
Calculate the greatest common divisor of 2298 and 99197.
383
What is the highest common factor of 660 and 5511?
33
Calculate the greatest common divisor of 145 and 2510.
5
What is the highest common divisor of 2540 and 393446?
254
Calculate the highest common divisor of 5421 and 237690.
417
Calculate the greatest common divisor of 419956 and 536.
268
What is the greatest common divisor of 1229723 and 363?
121
What is the highest common factor of 53750 and 1290?
430
What is the greatest common factor of 11 and 24979?
1
What is the greatest common divisor of 176 and 127864?
88
What is the highest common divisor of 11802 and 54?
6
Calculate the highest common divisor of 408 and 352104.
408
What is the greatest common divisor of 18344 and 24?
8
Calculate the greatest common divisor of 332 and 8300.
332
Calculate the highest common factor of 32 and 383632.
16
Calculate the highest common divisor of 3587 and 75749.
211
Calculate the highest common factor of 15677 and 11407.
61
What is the greatest common divisor of 606119 and 13432?
1679
What is the greatest common factor of 19 and 57665?
19
What is the greatest common divisor of 2137599 and 18?
9
Calculate the greatest common divisor of 4822203 and 1173.
1173
Calculate the greatest common divisor of 364 and 68276.
52
What is the highest common divisor of 3381 and 2001?
69
What is the highest common divisor of 170 and 13630?
10
Calculate the highest common factor of 34504 and 304.
152
Calculate the highest common divisor of 165206 and 68.
34
What is the greatest common divisor of 20 and 1401970?
10
Calculate the highest common factor of 3310 and 370.
10
Calculate the greatest common divisor of 10230 and 56730.
930
Calculate the greatest common divisor of 353508 and 8544.
1068
What is the highest common divisor of 1079 and 16600?
83
What is the greatest common divisor of 376 and 1410?
94
Calculate the highest common factor of 10207 and 9853.
59
What is the highest common divisor of 27605 and 5?
5
What is the greatest common factor of 182 and 18816?
14
What is the greatest common factor of 7782 and 420?
6
Calculate the greatest common divisor of 600 and 123900.
300
Calculate the highest common divisor of 3764 and 47991.
941
Calculate the highest common divisor of 11377 and 165517.
367
Calculate the highest common factor of 396 and 9270.
18
What is the highest common factor of 145 and 2847220?
145
Calculate the highest common factor of 19012 and 3136.
196
What is the greatest common factor of 267 and 55091?
89
Calculate the highest common divisor of 1529190 and 1872.
234
Calculate the greatest common factor of 783 and 17487.
261
What is the highest common divisor of 7 and 101521?
7
Calculate the highest common divisor of 46244 and 176.
44
What is the greatest common factor of 16 and 349424?
16
What is the highest common divisor of 16 and 783352?
8
Calculate the highest common divisor of 6364 and 9116.
172
Calculate the highest common factor of 7891 and 4849.
13
Calculate the greatest common divisor of 10368 and 300.
12
Calculate the highest common divisor of 15 and 536565.
15
Calculate the highest common factor of 530 and 6294.
2
What is the greatest common factor of 2076 and 11937?
519
Calculate the greatest common divisor of 123 and 39.
3
Calculate the highest common factor of 108621 and 27702.
729
What is the greatest common divisor of 83274 and 78?
6
Calculate the highest common divisor of 38198 and 710.
142
What is the highest common factor of 243 and 100197?
81
Calculate the greatest common divisor of 855360 and 675.
135
Calculate the highest common factor of 58 and 96686.
58
Calculate the highest common factor of 107 and 93.
1
Calculate the highest common divisor of 555 and 65220.
15
What is the highest common factor of 3 and 2237?
1
What is the greatest common factor of 368 and 433412?
92
What is the highest common divisor of 1795704 and 72?
24
What is the greatest common factor of 41178 and 4?
2
Calculate the highest common divisor of 9920 and 88960.
320
Calculate the greatest common divisor of 2151 and 36.
9
What is the greatest common factor of 56240 and 40700?
740
What is the highest common factor of 102780 and 192?
12
Calculate the highest common factor of 1171548 and 315.
63
Calculate the greatest common factor of 1145 and 45.
5
Calculate the greatest common factor of 38918 and 122.
122
What is the greatest common factor of 395720 and 26?
26
What is the greatest common divisor of 735 and 19860?
15
Calculate the greatest common divisor of 1390 and 3760.
10
What is the greatest common divisor of 323 and 25764?
19
Calculate the highest common divisor of 7 and 60487.
7
Calculate the greatest common factor of 330 and 78144.
66
What is the greatest common factor of 91260 and 1944?
108
What is the highest common factor of 1308747 and 33?
33
What is the h
|
{
"pile_set_name": "DM Mathematics"
}
|
1000370 - 683319. Is j composite?
True
Suppose -30*t - 28 = 2. Is 57/38 - t/((-6)/(-18645)) composite?
False
Let m be ((-52)/39)/(2/(-27)). Is (-22316)/(-6)*(m/(-12) - -3) composite?
True
Suppose 0 = 5*l + l - 12. Suppose 0*a + 4*a = 2*j - 164, -l*a + 4 = 0. Let x = j - 33. Is x a prime number?
True
Let q(y) = 6*y**2 + y - 3. Suppose 3*n + 1 = -5. Let m = n + -2. Is q(m) a composite number?
False
Let f(s) = -135*s + 18 + 19 + 57*s - 86*s. Let g(h) = -109*h + 25. Let o(r) = 5*f(r) - 7*g(r). Is o(-7) composite?
False
Let q(b) = -176*b - 524. Let x be q(-3). Suppose 0*h = -h. Suppose -x*z - 10614 = -2*a - h*z, -a = 5*z - 5293. Is a prime?
True
Let r(p) = -p**2 + 5*p + 4. Let i(x) = x. Let v(j) = 6*i(j) - r(j). Let k be v(2). Suppose -k*l + 278 = -d - 3*d, l + d - 130 = 0. Is l composite?
True
Let y be -12*(-5 + 98/21). Suppose 2*s + 48 = -u + 547, -5*u + y*s = -2537. Is u composite?
True
Suppose 0 = c - 6*c + 265. Suppose -52*b - 4 = -c*b. Is (-162)/39 + b + 2058/26 a prime number?
True
Is 13041/(-2898) - (-1)/((-4)/(-416366)) a composite number?
False
Let i = -328380 - -659393. Is i composite?
False
Let j(a) = -79*a - 45. Let f(m) = m**3 + 25*m**2 - 53*m + 7. Let x be f(-27). Is j(x) composite?
True
Let i = 127407 + 428804. Is i prime?
True
Let f = 319 - 1782. Let l(y) = -9*y**2 - 78*y + 16. Let p be l(12). Let d = f - p. Is d composite?
True
Let n be 17 + (-2)/(-8)*0. Let w(k) = 17*k**2 + 12*k + 54. Is w(n) a prime number?
True
Let p = 43126 + 69939. Is p a prime number?
False
Let w = 7273 - -16327. Let x = w + -16076. Is (-2)/(-3)*x/24 composite?
True
Let h(o) = -2*o**2 - 10*o - 12. Let v be h(-3). Is (-5 - v) + (2372 - -16) prime?
True
Let s(v) = 2*v**2 - 8*v - 17. Suppose -4*l - 277 = 51. Let n be (1 - l/7) + 86/301. Is s(n) prime?
False
Suppose 11*g - 10*g + 9499 = b, 5*g + 3*b = -47487. Let a = g - -19899. Is a a prime number?
False
Let d(s) = s**3 - 5*s**2 - 5*s + 4. Let c be d(6). Suppose u = -c + 16. Is 419*(-3)/u*-2 composite?
False
Let z = 43000 + -1329. Is z a composite number?
True
Suppose -775*z - 746*z = -1498*z - 372209. Is z a composite number?
False
Suppose 4*v + 83062 = -5*i + 1410273, -331829 = -v - 10*i. Is v composite?
True
Suppose 0 = -6*u + 2*u + 4*q + 12, 3*u - 11 = 2*q. Suppose u*y + 3628 = 9*y. Suppose -v = -2*v + y. Is v prime?
True
Let n = -225 - -225. Suppose -7*s - 12*s + 19171 = n. Is s a composite number?
False
Suppose -101 = -4*f - 3*y, -2*f = -0*y - 2*y - 40. Suppose 11*c + f*c - 29002 = 0. Is c a composite number?
False
Suppose -4*j = -b + 209, -2*b + 430 = -0*b - 5*j. Let x = 2681 - b. Suppose 3*w + 5*w = x. Is w a prime number?
True
Suppose -367 = -3*i + 215. Suppose -92 = -2*z + i. Is 54171/z - 4/(-22) a composite number?
False
Suppose 0 = -4*b + 3*m + 153958 + 114410, -2*b - m = -134184. Suppose z = 13*z - b. Is z prime?
True
Let k = -100 - -103. Suppose 5*x = 2*s - 5917, -k*s - 3*x + 9012 = 105. Is s a prime number?
False
Let w be 4*(105/28 + -1). Is (-10 + w)*1661/1 prime?
False
Let j(m) = -m**2 - 21*m - 51. Let f be j(-3). Is (10/15*f)/((-2)/(-3557)) prime?
True
Let d(f) = 35*f**2 + 101*f + 377. Is d(-4) a composite number?
True
Suppose -6411 - 24524 = -5*g. Is g prime?
False
Let u = -5934 - 2096. Let i = u + 16809. Is i prime?
True
Let o(a) = 4*a - 41. Let c be o(10). Is (5 - 3)*c - -3825 a prime number?
True
Let j = 3 - -249. Suppose -3 = -0*f + f, 477 = -3*g + 2*f. Let x = j + g. Is x a composite number?
True
Suppose -y - 5*c + 7204 = 0, -21638 = -3*y + 12*c - 14*c. Is y composite?
True
Let p = 2456688 - 1493107. Is p composite?
False
Let d(z) = -31*z**2 - 7*z - 53. Let j(c) = -c**2 - c - 2. Let s(n) = -d(n) + 2*j(n). Is s(-4) composite?
True
Is (-32)/(-4) + (-741846)/(-8) + 42/(-24) composite?
False
Let u be -4 + (2 - -5152) - 4. Is u*-4*(-6)/48 a composite number?
True
Suppose -16*m = -225092 - 237490 - 123002. Is m a composite number?
False
Let s(p) = 979*p**2 + 39*p + 165. Let l(d) = 1959*d**2 + 78*d + 332. Let w(o) = 6*l(o) - 11*s(o). Is w(-5) a composite number?
True
Suppose y = -3*y + 16. Let f be 1/(2/(-188)*(-26)/169). Suppose 4*w - 1152 = -y*r, -3*w + w + 5*r = -f. Is w a prime number?
True
Suppose 0 = 5*v + 27 + 33. Is 2/6 + 1 - 35252/v composite?
False
Let p(s) be the second derivative of s**4/12 - 5*s**3/6 - 3*s**2/2 - 2*s. Let j be p(-3). Is ((-9228)/21)/((-6)/j) composite?
True
Let r be (0 - 1)/(3/(-30)). Suppose -8*o - 24910 + 78006 = 0. Suppose r*t + o - 33687 = 0. Is t composite?
True
Let h = 6035 + -2481. Is h composite?
True
Let d be (-1734818)/(-16) - (-10 - 648/(-64)). Suppose -5*x + 83744 = 4*c, -3*x - d + 3783 = -5*c. Is c composite?
True
Let h be (-1)/(6/(-18)) + -4. Is (h - -15)*154/28 composite?
True
Let f(v) = 267*v**3 - 20*v**2 + 7*v + 173. Is f(10) a composite number?
True
Let s(z) be the second derivative of z**6/180 + 3*z**5/40 + 5*z**4/12 + 10*z. Let a(h) be the third derivative of s(h). Is a(7) a prime number?
True
Let t = 35 + -30. Suppose 4*c - x = 16, t*c + 0*x = -2*x + 7. Let w(z) = -2*z**3 + 7*z**2 + 3*z - 7. Is w(c) composite?
False
Suppose 156*q - 15*q - 4546545 = 0. Is q a prime number?
False
Let c(d) = 3*d**3 - 4*d**2 - 4*d + 56. Let n be c(5). Suppose 171 - 1811 = -5*a - 3*k, a + 4*k = n. Is a a composite number?
False
Let o(n) = 2*n**3 - 20*n**2 + 36*n - 27. Suppose 0 = -0*l - 4*l + 3*k + 83, -l + 2*k = -27. Is o(l) a composite number?
True
Let h = 121 + -119. Suppose 22*f - h*q = 17*f + 14757, -f + q + 2949 = 0. Is f a composite number?
False
Suppose -4*r + 61*y = 63*y + 578, 0 = -2*r - 2*y - 292. Let s(c) = 106*c + 3. Let d be s(-4). Let m = r - d. Is m prime?
False
Is ((-2 + (-66177)/(-12))*-4)/(-1) prime?
True
Let r = 3735 + -2240. Suppose -6*s + 173 + r = 0. Is s a composite number?
True
Let t(r) = 304*r - 54 + 9 - 181*r + 292*r. Let m be t(10). Suppose 15*w - m = 14*w. Is w composite?
True
Suppose 49*l - 22*l - 518949 = -16938. Is l a composite number?
False
Is (-12)/4 - ((-256)/16 - 645754) prime?
False
Suppose -20 = 5*o, 0*h = 2*h - 3*o - 9228. Let b = h + -2555. Is b composite?
False
Suppose 3*h = 5*k + 30, -h - h = -10. Let b = 2 - k. Is 720/b - -1*1 a prime number?
False
Let f(u) = 10472*u + 95. Is f(3) composite?
False
Let n(w) = w**3 - 100*w**2 + 37*w + 51. Is n(103) a composite number?
True
Suppose 5*o = z - 269645 + 34276, 2*z - 2*o = 470706. Is z composite?
False
Suppose 0*t + 4*y = -8*t + 2536664, 2*t - 634166 = 5*y. Is t prime?
False
Suppose 8*y + 2581344 = 2*y. Let f be y/(-36) + (-2)/(-6). Suppose -3*j + 0*p + f = 4*p, 3*j - 11955 = -3*p. Is j a prime number?
True
Let f(k) = 8*k**2 + 6*k - 29. Let s be f(7). Let l = -117 + s. Suppose g + 5*x = 5*g - l, 2*g = -5*x + 174. Is g a composite number?
True
Let m(r) = 15*r**2 - 62*r - 670. Is m(-33) a prime number?
False
Let b(j) = -4*j + 50. Let n be b(12). Suppose 0*d = -2*d - n, 0 = 4*z - 2*d - 117198. Is z composite?
True
Suppose -3*t + 43*f = 42*f - 43187, 28784 = 2*t + 3*f. Is t a prime number?
False
Is (8501/(-4))/(10 + (-533)/52) a composite number?
False
Suppose 2*j - 3*h - 8 = 0, 3*j - 3*h = 4 + 2. Let x(y) = -32*y - 7. Let t be x(j). Is -28*(t/(-12) - -4) a composite number?
True
Let b = 217 + -215. Suppose b*z = r - 16511, 4*r - z = -3*z + 66084. Is r a composite number?
False
Suppose -2*z = 5*g - 1108, 3*z - 12 = -0*z. Suppose h = 3*j + 55, -4*j - g = 8*h - 12*h. Is h a prime number?
False
Suppose -159*b + 38921365 + 14623634 = 0. Is b prime?
True
Suppose -6*w + 52770 = -162832 - 153554. Is w prime?
False
Let o(y) be the first derivative of -9*y**2 - 151*y - 30. Is o(-26) a composite number?
False
Let x = -1256632 - -1958269. Is x prime?
False
Let t(s) = 2*s - 4. Let g be t(5). Let d(z) = -639*z - 70. Let o be d(-7). Suppose g*i = -i + o. Is i a composite number?
True
Let k(t) = 14*t**3 + 52*t**2 + 7*t - 6. Is k(7) a composite number?
False
Suppose 0 = -12*z + 67483 - 11575. Suppose 2*x - 2627 = z. Is x prime?
True
Let x(a) = a**3 - 2*a**2 - 5*a - 8. Let c be (-7)/(-3) + (-50)/(-30). Let k be x(c). Let f(y) = 136*y + 10. Is f(k) a composite number?
True
Let v(g) = -148*g + 7. Let l(z) = -445*z + 19. Let f(j) = -2*l(j) + 7*v(j). Is f(-10) composite?
False
Let f(o) = o**3 - o**2 - 17*o - 12. Let c be f(5). Suppose 4*z = c*z + 1909. Suppose k + l - 373 = 3*l, z = 5*k + l. Is k pr
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1 = -5, -i + n*r = -7 for i.
1
Suppose -2*c = -6*c - 5*m + 27, -70 = -5*c + m. Let h(i) = c + 3 - i + 0*i. Let k be h(7). Solve 5*x = -3*q + k, 0 = -5*x - 5*q + q + 7 for x.
3
Let g = 21 - 16. Solve -2*f - g*m + 23 = 0, 2*m + 1 = 2*f - 1 for f.
4
Let k(t) be the third derivative of 0*t + 1/12*t**4 - 2*t**2 + 1/60*t**5 + 0 - 2/3*t**3. Let j be k(4). Solve 1 = -z - w, 5*w = 3*z + 15 + j for z.
-5
Let b(s) = -6*s + 5. Let a be b(-6). Let n = -11 + a. Let w be (-9)/(-2) + 8/16. Solve w*r - n = 5*j, -3*r + 0*r - j = 2 for r.
1
Suppose 3*r = 5*s - 80, 3*r = -3*s - r + 19. Suppose -3*b = -a + 3*a - s, b - 9 = -3*a. Suppose -5*h + 2 = -23. Solve -n + 9 = -0*i - b*i, h*n + 15 = 0 for i.
-4
Suppose 2*f - 2*x - 10 = 0, 0 = 2*x + 2*x + 12. Let l = 46 - 41. Solve 4*y - l*j = 29, -j - 27 = -f*y + 4*j for y.
1
Let n(k) = 2*k + 45. Let m be n(-20). Solve -1 = 3*b - h, -m*b + h + 2 = 3*h for b.
0
Let l be (-15)/(-1) + (-5 - -2) + 0. Solve -3*d + 3 = 2*i - 0*i, -4*d = -l for i.
-3
Suppose -1 = 4*u - 9. Suppose -11 = -p - 4*b, -4*p = -7*p - u*b + 43. Solve 2*v = c - 4, -2*c = 3*v + p - 2 for c.
-2
Suppose 3*h + 0*h - 2*v = -1, 0 = 2*h + 5*v - 12. Let z be (h - -1)/((-10)/(-75)). Solve -2*o + 3*i - 15 = -6*o, 4*o - 3*i = -z for o.
0
Let o = 4 + -2. Suppose o - 8 = -3*f. Solve -2*q - 2 = -2*c, 2*q + f*q = 3*c for c.
4
Let m = 7 - -2. Let q be m + 0 + (3 - 4). Let t = 5 - 3. Solve y + 2*r = 0, t*r = -4*y - 2*r + q for y.
4
Suppose 16 = 2*i - 2*m, -i + 4*m + 36 = 4*i. Let p be i/14 - 99/(-21). Solve p*g = f + 23, 0 = -3*g - 2*f + 10 + 9 for g.
5
Suppose 3*r + 8*j - 3*j + 56 = 0, 0 = 2*r - 2*j + 48. Let g = r + 25. Solve 5*q + 6 = -g*a + 1, -4*a + 4 = -4*q for q.
-1
Suppose -5*k + 0*k = 3*w - 16, -2*k = -2*w. Solve -4*y - k*q = -23 + 7, 0 = -4*y + 2*q + 16 for y.
4
Let o = -11 + 19. Suppose -a = -4 - 6. Suppose -a = -y - y. Solve -o = 2*q - t + y, 5*t = -3*q for q.
-5
Suppose 10 - 25 = -5*a. Let l be 0 + 0*(-1)/(-2). Suppose l = -i - m + 6, -4*i + 2*i - 12 = -4*m. Solve x - o + i*o = 1, 2*o = a*x + 22 for x.
-4
Suppose -2*c + 4 = -p + 4*p, -28 = -2*p + 5*c. Suppose n + p = 3*n. Solve -2*l = n*k, 0*k = 3*k + 2*l + 1 for k.
-1
Let p = -17 + 17. Let v(l) = 3*l**2 - 2. Let m be v(-3). Suppose -5*j + 4*g + 25 = p, -4*j + 5*g + m = j. Solve j*q - 5*b + 34 = 79, -4*q - 4 = 4*b for q.
4
Suppose 6*u - u = -5*a, 25 = 3*a - 2*u. Solve a*m + 2*n + 14 = -9, 5*m + 3*n + 22 = 0 for m.
-5
Let l = -5 - -7. Suppose 0*i = l*i. Solve i = d + 3*z - 16 + 2, 0 = 5*d + 5*z - 20 for d.
-1
Suppose 0 = -9*h + 25*h - 64. Solve 2*z - z + 5*w - 14 = 0, -z + w = h for z.
-1
Let j = 23 - 32. Let v = -6 - j. Let a be 1/1*(0 + v). Solve 5*s + 4*z + a = 0, s + 15 = z + 3*z for s.
-3
Suppose -4*l + 306 = 126. Let p = 18 + l. Let y = -39 + p. Solve 23 = 2*m + 3*d - 8*d, -5*d - y = -m for m.
-1
Suppose -c - 2*c = -3. Suppose 4*u + 5*y = 8, 3*u + y + c - 7 = 0. Let w be 2*3/12*u. Solve -5*r - d + 6*d = -15, 0 = 5*r - d + w for r.
-1
Suppose -3*z = 2*z. Let r = 6 + -4. Let b = r - z. Solve -c - 6 = -0*c + y, b*y = -5*c - 15 for c.
-1
Let a be 1 + 0 + 0 + 23. Let l = -9 + a. Solve -4*z - j - l = 0, -3*z + j + 5 = 25 for z.
-5
Let x be 72/33 + (-6)/33. Suppose w - 35 = -4*w + 5*i, -5*i - 25 = 0. Solve 0 = -w*n + 6*n - 2*r + 2, -2*n + x*r + 2 = 0 for n.
-2
Let x(m) = 4*m + 3. Let l be x(-3). Let p = -2 - l. Suppose -3*t - 2*t = s - 51, -s + 40 = 4*t. Solve -n - 2*z = t, p*n = 2*n - 3*z - 27 for n.
-3
Let d(s) = -s**2 + 8*s - 3. Let x be (4/5)/((-5)/(-25)). Let z be d(x). Let y = -8 + z. Solve y*q + 23 = -2*v + 3*v, -v - 4*q = 13 for v.
3
Let t = 21 + -9. Suppose 2*q = -q + t. Solve -3*l = 9, 0 = -4*u + u - q*l + 3 for u.
5
Let k = -4 + 4. Suppose -q = -k*q - 4. Solve -q*r = -3*i + 4 - 17, -i - 4*r = -1 for i.
-3
Suppose 5*i = -2*x - 38 + 111, 2*x - 43 = -3*i. Solve -2*f - f = t - 13, -5*f = 5*t - i for f.
5
Let w = -30 + 32. Solve -k - w*h = -2*k + 9, -2*k + h + 9 = 0 for k.
3
Suppose 22*g + 10 = 24*g. Solve y = -z - 1 + 2, 2*y + g*z = 2 for y.
1
Let s be (4/(-3))/(56/(-126)). Solve s*z + 9*r + 16 = 4*r, 2*r + 6 = -z for z.
-2
Let r be 5 + -2*1 - 0. Let o be (1 - -5)/((-6)/(-4)). Solve 5*j + o*w + 21 = 6*j, -r*j - 5*w = 5 for j.
5
Suppose 3*d - 7 = 14. Suppose -d*m + 5*m + 4 = 0. Solve 0*p + p - 1 = j, 4*p - 3*j = m for p.
-1
Suppose 21*i - 3 = 20*i. Solve -j - 4*v + i*v = -1, -5*j + 4*v + 41 = 0 for j.
5
Suppose 0 = -n - n. Let a be 4*(1 - n/(-2)). Suppose b + 3 = a. Solve -4 = -3*s + 5*s - 5*r, s + b = 2*r for s.
3
Let k(u) = 2*u**2 + 20*u + 5. Let c be k(-10). Suppose 4*z + 4*n = 0, -4*n = -0*z - 3*z + 35. Solve -z*i - 30 = 4*r + r, c*r = 2*i - 2 for i.
-4
Let y = 42 + -39. Solve -2*f - 32 = 3*f + 4*c, -c + 9 = -y*f for f.
-4
Let t(n) = -n**2 - 8*n - 9. Let a(w) = -w**2 - 4*w + 6. Let r be 34/(-6) - 3/9. Let k be a(r). Let u be t(k). Solve 4*z = 2*d + 12, -9 = -u*z + 2*d + d for z.
3
Let t(p) = p**3 - 9*p**2 - 9*p - 6. Let o be t(10). Solve -s - 4*j = -0*s, 5*s - 16 = -o*j for s.
4
Let l(g) = 2*g**2 - 2*g + 1. Let s be l(3). Solve 3*z = -3*o + 3 - 0, -z + s = 5*o for z.
-2
Let c(j) = 2*j**2. Let h be c(-3). Solve 3*y = -3*p + 3 - h, y = 2*p - 5 for y.
-5
Suppose 0 = -0*k + 3*k. Suppose -m + 3*m = k. Solve 2*d - 5*n - 31 = m, 3*d = -6*n + 2*n - 11 for d.
3
Let y = -5 + 2. Let d be 1 + (2 + y)*-2. Suppose 0*v + 4*v - 16 = 0. Solve -5*i = -v*w - 30, d*i - 2*i - 22 = 4*w for w.
-5
Suppose 3*i = 8 + 7. Suppose 5*m - 87 = c, 4*m + 8*c = 3*c + 58. Let y be (-6)/15 + m/i. Solve -4*z - 4 = 5*x, -4*x - 3*z + y = 6 for x.
0
Suppose -21 = -3*k + 3. Let r(a) = -5*a + 4. Let u(b) = 11*b - 8. Let l(j) = -9*r(j) - 4*u(j). Let o be l(k). Solve o*x = d - 0*d - 13, -4*d + 14 = 3*x for d.
5
Let k(r) = -3*r - 1. Let j be k(-1). Suppose 3*v - 2*v - j = 0, 2*a + 4*v = 12. Let f be -4*(2/2 - a). Solve 4 = -2*y + 2*n, f*y + y = -5*n - 30 for y.
-4
Let x = -30 - -3. Let p = x - -46. Let m be 3 + -1 - (2 - p). Solve -2*k = 3*a - 3 - 11, -5*a + m = -k for k.
1
Let v be ((-2)/(-4))/(2/(-12)). Let r be 0 - v - (-1 + 0). Suppose 0 = 2*a + 4*s - 38, 4*s = -3*a + 22 + 41. Solve -q = -0*q - 5, -g - r*q = -a for g.
5
Suppose -5*y - 20 = -5*v, 60 = 5*v + 5*y - 2*y. Suppose -f = -0*f - v. Suppose 20 = f*t - 4*t, -t - 16 = -4*l. Solve -a - 1 = 3*z, -l*a - z = -0 + 19 for a.
-4
Suppose 85 = m - 32. Suppose 13 + m = 5*r. Suppose 1 = -5*b + r. Solve -t + v + 4 = -5*t, -b*v = -3*t + 20 for t.
0
Let u(c) = c**3 - 15*c**2 + 2*c - 22. Let p be u(15). Suppose 0 = 5*d - 0*d - 20. Solve -4*l = -d*a - 24, p = -5*a - 5*l - 12 for a.
-5
Let n = -6 - -12. Let f(q) = q**3 - 7*q**2 + 8*q - 10. Let a be f(n). Solve 0 = -r + 5*h + 19, a*h = -4*r + 7 + 3 for r.
4
Let j(k) = -5*k**3 - 1 - 3*k**2 - k + 6*k**3 + 4. Let i be j(3). Solve 3*h - 2*z = 1, 5*h - 10 = 5*z - i for h.
-3
Suppose 445 = 8*d + 85. Solve -i + 4*m - 4 = 17, -5*i + 5*m = d for i.
-5
Let r = -2 + 2. Let h be (2 - 1) + r + 1. Let l be 3*2*20/24. Solve l*t = 15, -h*b - b - 4*t + 18 = 0 for b.
2
Suppose 0*r + 4*c = -5*r + 45, 0 = -2*c. Let z be (-2)/(-12)*r*2. Solve t - 2*q + 10 = -z*t, -2*t = q + 7 for t.
-3
Let w(x) = -x**2 - 5*x - 2. Let f be w(-4). Solve 2*c + f*z = 2, 0*z + 7 = c - 2*z for c.
3
Suppose 0 = 34*f - 30*f. Solve 3*b = -m + 2*b, 2*m - b = f for m.
0
Let u(s) = s**2 - 7*s - 6. Let j be u(6). Let p be (j/(-16))/((-2)/(-8)). Solve 3*a = -p*h, 2*a = 2*h - h + 6 for h.
-2
Suppose -n + 3*n - 44 = 0. Suppose -2*u - 3*o + 8 = -5*o, 3*u + 2*o - 7 = 0. Solve u*i + 21 = -3*r, -r - 4*i - n = -0*i for r.
-2
Let j = 40 + -35. Solve -m - 5*n = 6, -4*n + 0 = -j*m - 1 for m.
-1
Let m(v) = v - 9. Let j be m(12). Suppose -5*s + 3*c + 0*c + 16 = 0, 2*s - 1 = j*c. Solve 0*y - s*x - 4 = 4*y, y + 4 = -2*x for y.
4
Let y(x) = x + 7. Let z be y(-4). Let u = 13 - 10. Solve u = -0*i - 3*i - z*j, -2*j - 6 = 3*i for i.
-4
Suppose 3*i = -12, 67 = 3*b - 5*i + i. Suppose -x + 5*o + b = -3*x, -2*o - 30 = -5*x. Solve -5*g - 12 = -3*y, 7 = x*y - 5*g - 9 for y.
4
Let x = -136 - -140. Let a(y) = -y + 5. Let p be a(5). Solve 3*t + 2 = q, -x*t = -p*q + q - 2 for t.
0
Suppose -a = 19 - 19. Solve -5*r = -3*g - 27, a = 3*g + 2*g + 5*r + 5 for g.
-4
Let z be 2/3*(-9)/(-2). Let s be (6/(-12))/(1/30). Let c be (-3)/(3*3/s). Solve c*j = -2*w + 5, -z*j = -3*w - 0*w - 24 for j.
3
Let c = -11 + 16. Suppose 4*w - j - 13 = 8,
|
{
"pile_set_name": "DM Mathematics"
}
|
-7/2, -0.4, 0.13, -5/2, 60?
-7/2
What is the fifth biggest value in 3, -3/2, -177, 179, 0.4?
-177
What is the second smallest value in 41, 43/5, -0.5, -358?
-0.5
What is the second biggest value in -13, 0.5, -16, 0, -1, 2, 6/19?
0.5
What is the smallest value in -3, -4, -59986, -0.07?
-59986
Which is the biggest value? (a) 0.15 (b) 76/5 (c) -1 (d) -177/8 (e) 0
b
What is the second smallest value in 5/4, -467, 1/36?
1/36
What is the sixth biggest value in 1/6, 60.8, 2/9, 0.2, -12, 9?
-12
Which is the fifth biggest value? (a) -590 (b) -6 (c) -1/3 (d) 5 (e) 38
a
Which is the smallest value? (a) 14 (b) -0.4 (c) -6659 (d) -10
c
What is the fourth smallest value in 21, -1/553, 3, 5, -0.5, 4?
4
What is the fourth biggest value in -1/3, 4/1527, 0, -2/2759?
-1/3
Which is the second biggest value? (a) -3 (b) 471505 (c) -2 (d) 0 (e) 1/3
e
Which is the biggest value? (a) -29 (b) -2/87 (c) -301
b
What is the fifth biggest value in 2/5, -5191, -0.02, -2, -24, 1?
-24
Which is the sixth biggest value? (a) -5 (b) 0.4 (c) 31 (d) 17 (e) 4 (f) 3378 (g) 0.2
g
Which is the seventh smallest value? (a) 180 (b) 0 (c) 4 (d) 0.3 (e) 0.5 (f) -2/13 (g) 1/9
a
Which is the smallest value? (a) 10 (b) 266 (c) -0.3 (d) 0.12 (e) -0.03
c
What is the biggest value in -12, 2/3, -16878?
2/3
What is the smallest value in -1/2, 0.032, 2/31, -2/15, -521, 2?
-521
Which is the sixth smallest value? (a) 4/5 (b) -1/7 (c) -6 (d) -1.8 (e) -2 (f) 31.3
f
Which is the smallest value? (a) -5 (b) -2/11 (c) 28 (d) 4303 (e) -3
a
Which is the third biggest value? (a) 4 (b) 1 (c) 0.12 (d) -0.2 (e) 3 (f) -898/7 (g) -4
b
Which is the sixth biggest value? (a) 3 (b) -1 (c) -13 (d) -3 (e) -2/19 (f) -4/3 (g) 1
d
Which is the fifth biggest value? (a) 2.2 (b) -2/17 (c) -3 (d) -2 (e) 3/58 (f) 0.1 (g) 0
b
Which is the fourth smallest value? (a) -2/407 (b) -75 (c) 2 (d) -0.14 (e) 0.6
e
Which is the fourth smallest value? (a) 8 (b) 146 (c) -15 (d) 9 (e) 1
d
What is the fourth smallest value in -2/18461, -1.3, -3/68, 0?
0
Which is the biggest value? (a) 26 (b) -4 (c) -2013 (d) -70/3
a
Which is the fourth smallest value? (a) 0.5 (b) -0.4 (c) -7774 (d) 0.01 (e) 1 (f) -0.17
d
Which is the biggest value? (a) 23 (b) -3/4 (c) -2 (d) 2/7 (e) -71.057
a
Which is the smallest value? (a) 0 (b) -3 (c) -1495.8
c
What is the biggest value in -20, 2, 3/8, 2/9, 326, 4/7?
326
What is the sixth biggest value in 2/7, -4, -0.4, 4772, -2, -2/13, 0?
-2
What is the fifth biggest value in 4, 992/3, -1/4, 5, -365?
-365
Which is the fourth smallest value? (a) 4 (b) -10499 (c) 1/9 (d) -0.51
a
Which is the smallest value? (a) -0.7 (b) 0.16 (c) 5 (d) 0.3 (e) 3 (f) -18 (g) 2
f
Which is the sixth biggest value? (a) 4/19 (b) -3 (c) 1.8 (d) 16 (e) 1/2 (f) -0.5 (g) -9
b
What is the third smallest value in -2.17, 2/11, -2, -2/4943?
-2/4943
Which is the sixth smallest value? (a) -0.3 (b) -3/385 (c) -9/4 (d) 0.3 (e) 4 (f) -1/2
e
What is the sixth biggest value in 1, 5/4, -28/5, 4, 5, 1.9, 3?
1
Which is the biggest value? (a) -5546 (b) -0.07 (c) 3/22 (d) 2/13
d
Which is the third biggest value? (a) -0.11 (b) 708 (c) -2.7 (d) 7/2 (e) 0.1
e
What is the third biggest value in -3, -1, -98, 0, 0.5, 1, -7/141?
0
What is the smallest value in 10, -1/2, -143, -25, -3?
-143
Which is the second biggest value? (a) -3 (b) 3/2 (c) 171575
b
Which is the third smallest value? (a) 16.339 (b) 299 (c) -0.4
b
Which is the biggest value? (a) -2/27 (b) -4 (c) -1 (d) -2/3 (e) -75 (f) 0.2 (g) 3/5
g
What is the second smallest value in 3, 863, -556, -17?
-17
Which is the biggest value? (a) 1.2424 (b) -20 (c) 0.3
a
Which is the second biggest value? (a) -3 (b) 5/59 (c) -14/373 (d) 3 (e) -1
b
Which is the third biggest value? (a) 5/37 (b) -5336 (c) 0.58
b
Which is the fifth smallest value? (a) 3 (b) 6277 (c) -718 (d) 2/17 (e) 7
b
What is the smallest value in 40098, 1, -4, 217?
-4
What is the third biggest value in 2/641, -3, 9, -1/11, 0.0052?
2/641
What is the third smallest value in 450/53, -0.4, 19, 3/2, 52, 5?
5
Which is the second biggest value? (a) 0.03 (b) 5191 (c) -5 (d) -0.09 (e) -11
a
Which is the fourth smallest value? (a) -0.8 (b) -58 (c) -0.3 (d) -15
c
Which is the fourth smallest value? (a) -49 (b) -11 (c) 4 (d) -122
c
What is the fifth biggest value in -2/9, 3/2, 6, 1249, -85/4, -2, 3?
-2/9
What is the second smallest value in -2, -4280, -1, 18, -4, 0.3, -0.1?
-4
What is the smallest value in -8, -2, -4, 0.2, -2/19, 0.1, -2/171?
-8
Which is the second smallest value? (a) -17 (b) -43 (c) -2/49 (d) -2 (e) -4 (f) 0
a
Which is the smallest value? (a) 1/58 (b) -654 (c) 0 (d) 1/3 (e) -70
b
Which is the third smallest value? (a) -1004 (b) 5 (c) -5 (d) -67
c
Which is the fifth biggest value? (a) 0.14 (b) 1 (c) -1145 (d) 2/13 (e) 0.4 (f) 0.2 (g) -1
a
What is the fourth smallest value in -6, -3, -1.8, -1.32, 2/3?
-1.32
Which is the fourth biggest value? (a) -0.4 (b) 316 (c) 3 (d) -1/448 (e) -2 (f) 0.3
d
What is the biggest value in 1/5, 0.822, -581?
0.822
Which is the biggest value? (a) -3/14 (b) 20/2031 (c) 28
c
What is the smallest value in 1/5, -13/4, 1/4, 160?
-13/4
What is the fifth smallest value in -209605, 0.5, -3/5, -3, 0?
0.5
Which is the fifth biggest value? (a) 7.33 (b) 4 (c) 0.0405 (d) 1/2 (e) -4
e
What is the third biggest value in 0.078, -5, -1.63, 165, 2, -2/9?
0.078
Which is the smallest value? (a) 2 (b) -5 (c) 0 (d) 6442 (e) 0.03 (f) -1/7
b
What is the fourth biggest value in 3, 0.10957, -0.3, 655?
-0.3
Which is the third smallest value? (a) -8/3 (b) 0.28 (c) 1 (d) 0.2 (e) 0.14 (f) 291 (g) 0.3
d
Which is the third biggest value? (a) -11 (b) 2/13 (c) -109/20 (d) 0.46 (e) -3/5 (f) 1/3
b
What is the fourth smallest value in -2/37, 1, -0.3, 125/12, -0.24, -0.2?
-2/37
Which is the third smallest value? (a) -0.31 (b) -0.2 (c) -15/596053
c
What is the second smallest value in -1/4, 272.9, -1/12?
-1/12
What is the sixth smallest value in -0.1, 31, -2/11, 2/9, -235/8, 0.2?
31
What is the second smallest value in -0.9, -2/7, 0.2, -4, 0, -180/29, -0.7?
-4
What is the second smallest value in -0.03, -28/9, -2, 2/3, 3.35?
-2
What is the biggest value in 1753, 3, -43, -29?
1753
What is the fifth smallest value in -0.3, -0.6, -136968, -0.4, -5?
-0.3
Which is the sixth smallest value? (a) -2 (b) -4 (c) 0.3 (d) -2.413 (e) 3 (f) 2/9
e
Which is the second smallest value? (a) 2.3126 (b) 0.3 (c) 0.6 (d) 0.5
d
Which is the smallest value? (a) 0.25 (b) 29400 (c) -1/6 (d) -0.3
d
What is the third biggest value in -14, 2/11, 8502, 0?
0
Which is the biggest value? (a) -5 (b) 0.3 (c) 5 (d) -1 (e) -310 (f) -1/3 (g) -0.02068
c
What is the fourth smallest value in 0.1, 11, 0.3, 1346008?
1346008
What is the third smallest value in 0, -0.4, 9579272?
9579272
What is the third biggest value in 5, 60, 4294, -0.5, 0, -1/3, 4?
5
What is the fifth smallest value in -0.5, 5/3, 1, 4/7, 4, -105401?
5/3
What is the fourth biggest value in 7/10, 11/5, -1/16, 2/7?
-1/16
What is the biggest value in 0.2, 0.21, 0.09089?
0.21
What is the smallest value in 0, -3, 2/581, 1007?
-3
Which is the third biggest value? (a) 2/669 (b) -0.02 (c) -0.7 (d) -2/9 (e) -0.4
d
Which is the smallest value? (a) -0.4 (b) 8 (c) 0.01 (d) 2 (e) -2/43 (f) 1 (g) 5
a
What is the fifth biggest value in -4/7, -19/9, -0.1, -1.556, 5?
-19/9
What is the biggest value in 12715.2, 0.4, 2?
12715.2
What is the fourth biggest value in 5, 1/4, 2.27, -33977?
-33977
What is the fifth biggest value in -2.7, 1/4, 104, 2, -0.092, -9, -5?
-2.7
What is the fourth biggest value in -504, 2/11, -1.4, -1/52, -3?
-3
Which is the second smallest value? (a) 5 (b) 16 (c) 2/5 (d) 6/55 (e) 26 (f) 4
c
What is the fourth biggest value in 10.73, 3/8, 10/11, -3, 3, -0.5?
3/8
Which is the sixth smallest value? (a) 1/2 (b) -0.5 (c) 1 (d) 5 (e) -110 (f) -1/5 (g) 1/5
c
Which is the second smallest value? (a) 23 (b) -1267 (c) 2/1803
c
Which is the third smallest value? (a) -2/11 (b) -2/9 (c) 3/23 (d) 642 (e) 9
c
Which is the seventh smallest value? (a) 0 (b) 2/13 (c) 3
|
{
"pile_set_name": "DM Mathematics"
}
|
7620.
2, 3, 5, 131, 5639
What are the prime factors of 177658038?
2, 3, 137, 72043
List the prime factors of 55625446.
2, 27812723
List the prime factors of 32749734.
2, 3, 41, 67, 1987
List the prime factors of 26874077.
26874077
List the prime factors of 1054722530.
2, 5, 105472253
What are the prime factors of 3864228?
2, 3, 61, 5279
List the prime factors of 64928084.
2, 13, 59, 21163
List the prime factors of 293078385.
3, 5, 17, 127703
What are the prime factors of 253472942?
2, 107, 1184453
What are the prime factors of 95323902?
2, 3, 15887317
What are the prime factors of 1660088256?
2, 3, 8646293
List the prime factors of 78220154.
2, 39110077
List the prime factors of 1643387462.
2, 1231, 667501
List the prime factors of 309295825.
5, 719, 17207
List the prime factors of 3836720657.
7, 11, 49827541
List the prime factors of 27772628.
2, 13, 17, 89, 353
What are the prime factors of 15773200?
2, 5, 47, 839
What are the prime factors of 28900547?
13, 2223119
List the prime factors of 83199983.
53, 1569811
What are the prime factors of 800497369?
7, 1187, 13763
List the prime factors of 723334423.
7, 37, 41, 263
List the prime factors of 12535094.
2, 11, 13, 41, 1069
List the prime factors of 1633809981.
3, 19, 79, 157, 2311
List the prime factors of 180427023.
3, 7, 2863921
What are the prime factors of 432888522?
2, 3, 11, 6558917
List the prime factors of 137607472.
2, 8600467
List the prime factors of 159274022.
2, 193, 412627
What are the prime factors of 52461384?
2, 3, 59, 37049
What are the prime factors of 116491156?
2, 1861, 15649
What are the prime factors of 40098944?
2, 313273
What are the prime factors of 2903248481?
7, 59249969
What are the prime factors of 4768485438?
2, 3, 2377, 334349
What are the prime factors of 29057510?
2, 5, 23, 126337
List the prime factors of 461270796.
2, 3, 7, 23, 257, 929
What are the prime factors of 1622674322?
2, 811337161
What are the prime factors of 41104862?
2, 547, 37573
List the prime factors of 3783392962.
2, 1891696481
List the prime factors of 1713979245.
3, 5, 11, 10387753
What are the prime factors of 2939220589?
2939220589
What are the prime factors of 98662944?
2, 3, 1027739
List the prime factors of 77521835.
5, 15504367
What are the prime factors of 151686809?
61, 2486669
List the prime factors of 57547831.
11, 631, 8291
What are the prime factors of 6389857255?
5, 661, 719, 2689
What are the prime factors of 1177708684?
2, 607, 485053
List the prime factors of 1600635231.
3, 13, 13680643
What are the prime factors of 183746781?
3, 20416309
What are the prime factors of 81799839?
3, 11, 79, 10459
List the prime factors of 2349967454.
2, 23, 103, 495983
What are the prime factors of 141611948?
2, 35402987
What are the prime factors of 7049860650?
2, 3, 5, 7, 746017
What are the prime factors of 822940660?
2, 5, 2089, 19697
List the prime factors of 704108855.
5, 2027, 69473
List the prime factors of 316660495.
5, 73, 867563
List the prime factors of 3324581035.
5, 71, 9365017
What are the prime factors of 452493905?
5, 37, 107, 22859
What are the prime factors of 385855316?
2, 7, 11, 1252777
List the prime factors of 152001465.
3, 5, 7, 11, 101, 1303
What are the prime factors of 362031607?
7, 251, 206051
List the prime factors of 48633889.
17, 2860817
List the prime factors of 4036879763.
7, 19843, 29063
List the prime factors of 929997902.
2, 19, 71, 83, 4153
What are the prime factors of 200818483?
727, 276229
List the prime factors of 3976170.
2, 3, 5, 11, 12049
List the prime factors of 56371182.
2, 3, 7, 211, 6361
What are the prime factors of 1139350076?
2, 283, 1006493
What are the prime factors of 235228999?
53, 4438283
What are the prime factors of 495543416?
2, 29, 653, 3271
List the prime factors of 506104606.
2, 7, 311, 116239
List the prime factors of 6124167287.
7, 137, 6385993
List the prime factors of 622040104.
2, 7, 226691
List the prime factors of 59025596.
2, 7, 401, 751
List the prime factors of 104776385.
5, 7, 23, 5659
List the prime factors of 1870469924.
2, 89, 457, 11497
List the prime factors of 925277156.
2, 17, 47, 289511
What are the prime factors of 967249983?
3, 7, 41, 1123403
List the prime factors of 578629827.
3, 4799, 13397
What are the prime factors of 3532690?
2, 5, 7, 109, 463
List the prime factors of 599220871.
487, 1230433
What are the prime factors of 4763100706?
2, 7, 13, 79, 331277
List the prime factors of 2686645.
5, 13, 41333
What are the prime factors of 79367927?
79367927
What are the prime factors of 1911051118?
2, 955525559
List the prime factors of 59119310.
2, 5, 5911931
List the prime factors of 332402322.
2, 3, 7, 7914341
List the prime factors of 93635058.
2, 3, 11, 107, 13259
What are the prime factors of 233132388?
2, 3, 19427699
List the prime factors of 1448992378.
2, 251, 1249, 2311
List the prime factors of 174902779.
2203, 79393
What are the prime factors of 302015077?
7, 13, 29, 16349
What are the prime factors of 96110763?
3, 7, 67, 83, 823
What are the prime factors of 48608511?
3, 7, 2314691
What are the prime factors of 130927624?
2, 251, 65203
What are the prime factors of 43326959?
13, 3332843
What are the prime factors of 1190029146?
2, 3, 89, 2228519
List the prime factors of 747379907.
487, 1534661
List the prime factors of 5916106.
2, 7, 19, 23, 967
List the prime factors of 1934388933.
3, 31, 263, 79087
List the prime factors of 5121141356.
2, 1280285339
List the prime factors of 103935864.
2, 3, 4330661
List the prime factors of 16707951.
3, 13, 41, 43
What are the prime factors of 581839915?
5, 116367983
List the prime factors of 1968650691.
3, 7, 31, 79, 101, 379
List the prime factors of 5312151321.
3, 173, 10235359
What are the prime factors of 42388303?
3511, 12073
What are the prime factors of 551373028?
2, 6317, 21821
What are the prime factors of 4348426001?
4348426001
List the prime factors of 1011205343.
8467, 119429
What are the prime factors of 501763976?
2, 7, 17, 527063
List the prime factors of 6590488177.
7, 13, 29, 757, 3299
What are the prime factors of 35534640?
2, 3, 5, 148061
What are the prime factors of 7562933685?
3, 5, 56021731
List the prime factors of 2094981835.
5, 83, 5048149
What are the prime factors of 554252418?
2, 3, 30791801
What are the prime factors of 1250056621?
11, 263, 432097
List the prime factors of 1429719051.
3, 89, 1229, 4357
What are the prime factors of 484811981?
647, 749323
List the prime factors of 83815820.
2, 5, 11, 331, 1151
List the prime factors of 1651482959.
7, 3623, 65119
List the prime factors of 590136924.
2, 3, 13, 3782929
What are the prime factors of 1549362630?
2, 3, 5, 51645421
What are the prime factors of 50645640?
2, 3, 5, 19, 97, 229
What are the prime factors of 282361042?
2, 1933, 73037
What are the prime factors of 165741659?
2731, 60689
List the prime factors of 21331671.
3, 1249, 5693
What are the prime factors of 97950879?
3, 13, 64399
List the prime factors of 128747215.
5, 23, 107, 10463
What are the prime factors of 51501290?
2, 5, 5150129
What are the prime factors of 679490847?
3, 7, 10785569
What are the prime factors of 2344507991?
7, 271, 937, 1319
List the prime factors of 7096879.
7096879
List the prime factors of 1799851343.
1799851343
What are the prime factors of 28274155?
5, 7, 13, 62141
List the prime factors of 1333394899.
257, 659, 7873
List the prime factors of 158320998.
2, 3, 11, 157, 463
What are the prime factors of 1527726272?
2, 53, 450391
List the prime factors of 6610156882.
2, 7, 1559, 302857
What are the prime factors of 14684094?
2, 3, 353, 2311
What are the prime factors of 83629625?
5, 43, 15559
List the prime factors of 116404344.
2, 3, 7, 167, 461
What are the prime factors of 2034270624?
2, 3, 21190319
List the prime factors of 537584648.
2, 311, 216071
What are the prime factors of 569640314?
2, 31, 617, 14891
List the prime factors of 3055500305.
5, 11, 13, 4273427
List the prime factors of 166070594.
2, 163, 317, 1607
What are the prime factors of 248642654?
2, 13, 191, 50069
What are the prime factors of 71188988?
2, 13, 1369019
List the prime factors of 53264845.
5, 283, 37643
What are the prime factors of 1040777913?
3, 7, 61, 812473
What are the prime factors of 213661856?
2, 14
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 1340*s - 86
What is the f'th term of -43864, -175158, -393884, -700042?
-43716*f**2 - 146*f - 2
What is the x'th term of -156351, -155744, -155137, -154530, -153923?
607*x - 156958
What is the q'th term of 90034, 180222, 270410, 360598?
90188*q - 154
What is the d'th term of 6460910, 6460912, 6460914, 6460916, 6460918?
2*d + 6460908
What is the b'th term of -3374182, -6748370, -10122554, -13496734, -16870910?
2*b**2 - 3374194*b + 10
What is the q'th term of 770, 3512, 8088, 14498, 22742, 32820, 44732?
917*q**2 - 9*q - 138
What is the i'th term of 2169145, 4338287, 6507429, 8676571?
2169142*i + 3
What is the m'th term of 18910, 75559, 170000, 302233, 472258, 680075?
18896*m**2 - 39*m + 53
What is the g'th term of -69, -269, -559, -903, -1265?
6*g**3 - 81*g**2 + g + 5
What is the t'th term of -174115, -348219, -522325, -696433, -870543?
-t**2 - 174101*t - 13
What is the y'th term of 349, -759, -1865, -2969, -4071, -5171, -6269?
y**2 - 1111*y + 1459
What is the m'th term of -214072, -214156, -214252, -214366, -214504, -214672, -214876, -215122?
-m**3 - 77*m - 213994
What is the z'th term of -30731959, -61463900, -92195853, -122927824, -153659819, -184391844?
-z**3 - 30731934*z - 24
What is the g'th term of -1053348, -1053353, -1053358, -1053363, -1053368?
-5*g - 1053343
What is the z'th term of -1106, -851, -296, 709, 2314, 4669, 7924, 12229?
25*z**3 + 80*z - 1211
What is the h'th term of -83524, -167247, -250970?
-83723*h + 199
What is the h'th term of -10492660, -10492664, -10492668?
-4*h - 10492656
What is the y'th term of 1466, 5755, 12892, 22877?
1424*y**2 + 17*y + 25
What is the u'th term of -77332, -77339, -77346, -77353, -77360, -77367?
-7*u - 77325
What is the q'th term of 9667, 28467, 56403, 93481, 139707?
q**3 + 4562*q**2 + 5107*q - 3
What is the g'th term of -3641330, -3641359, -3641406, -3641471, -3641554?
-9*g**2 - 2*g - 3641319
What is the f'th term of 108067, 432245, 972535, 1728937, 2701451, 3890077, 5294815?
108056*f**2 + 10*f + 1
What is the b'th term of 143816, 287647, 431516, 575441, 719440, 863531, 1007732, 1152061?
3*b**3 + b**2 + 143807*b + 5
What is the a'th term of 18718, 49014, 131246, 291382, 555390, 949238?
4328*a**3 + 14390
What is the f'th term of -181471, -181827, -182183?
-356*f - 181115
What is the k'th term of 186825911, 373651822, 560477733, 747303644, 934129555?
186825911*k
What is the z'th term of -434, -4432, -8426, -12416, -16402?
2*z**2 - 4004*z + 3568
What is the z'th term of 686078, 686105, 686132, 686159, 686186, 686213?
27*z + 686051
What is the f'th term of 24589, 23842, 22589, 20830, 18565, 15794, 12517?
-253*f**2 + 12*f + 24830
What is the x'th term of 24, 102, 216, 360, 528, 714, 912?
-x**3 + 24*x**2 + 13*x - 12
What is the m'th term of 396024, 792074, 1188124, 1584174, 1980224, 2376274?
396050*m - 26
What is the j'th term of 235610, 235646, 235670, 235682?
-6*j**2 + 54*j + 235562
What is the n'th term of -9752, -18861, -27970, -37079, -46188?
-9109*n - 643
What is the i'th term of 7788, 30968, 69532, 123474, 192788, 277468?
-i**3 + 7698*i**2 + 93*i - 2
What is the t'th term of -84942, -84991, -85130, -85407, -85870, -86567, -87546, -88855?
-8*t**3 + 3*t**2 - 2*t - 84935
What is the k'th term of 217, 1064, 2531, 4618, 7325, 10652?
310*k**2 - 83*k - 10
What is the y'th term of 7869727, 7869881, 7870035, 7870189?
154*y + 7869573
What is the q'th term of -253993, -254026, -254087, -254176, -254293, -254438?
-14*q**2 + 9*q - 253988
What is the g'th term of -1198396, -1198297, -1198184, -1198051, -1197892, -1197701, -1197472?
g**3 + g**2 + 89*g - 1198487
What is the h'th term of -2840791, -2840785, -2840779?
6*h - 2840797
What is the y'th term of 14264392, 57057544, 128379464, 228230152, 356609608, 513517832?
14264384*y**2 + 8
What is the a'th term of 372, 2360, 5964, 11178, 17996?
-a**3 + 814*a**2 - 447*a + 6
What is the i'th term of 1534394, 3068784, 4603174, 6137564?
1534390*i + 4
What is the u'th term of 59, 150, 291, 482?
25*u**2 + 16*u + 18
What is the w'th term of 1799714, 1799806, 1799886, 1799948, 1799986?
-w**3 + 99*w + 1799616
What is the v'th term of 3075550, 6151000, 9226450?
3075450*v + 100
What is the i'th term of 34210, 37560, 40912, 44266, 47622, 50980?
i**2 + 3347*i + 30862
What is the y'th term of -654, -3623, -11754, -27651, -53918, -93159, -147978, -220979?
-434*y**3 + 23*y**2 - 243
What is the n'th term of -8088933, -8088934, -8088935, -8088936, -8088937?
-n - 8088932
What is the d'th term of 29743, 59487, 89227, 118963, 148695, 178423?
-2*d**2 + 29750*d - 5
What is the d'th term of 2759, 10288, 22843, 40430, 63055, 90724?
d**3 + 2507*d**2 + d + 250
What is the k'th term of -230, -1622, -4610, -9740, -17558, -28610, -43442?
-91*k**3 - 252*k**2 + k + 112
What is the a'th term of -497791, -995584, -1493385, -1991194, -2489011?
-4*a**2 - 497781*a - 6
What is the u'th term of -944, -1280, -1850, -2648, -3668, -4904?
u**3 - 123*u**2 + 26*u - 848
What is the c'th term of -88504, -89304, -90104, -90904?
-800*c - 87704
What is the c'th term of -9407, -18796, -28171, -37532, -46879, -56212, -65531?
7*c**2 - 9410*c - 4
What is the r'th term of 13410, 27140, 40880, 54630, 68390?
5*r**2 + 13715*r - 310
What is the t'th term of 1088806, 2177614, 3266422, 4355230, 5444038?
1088808*t - 2
What is the z'th term of -109559, -109560, -109539, -109484, -109383, -109224, -108995?
2*z**3 - z**2 - 12*z - 109548
What is the f'th term of 255691, 255788, 256053, 256570, 257423, 258696, 260473?
14*f**3 - f + 255678
What is the i'th term of -355969, -711928, -1067887, -1423846?
-355959*i - 10
What is the y'th term of -6255598, -6255592, -6255586, -6255580, -6255574?
6*y - 6255604
What is the t'th term of -935, 172, 2049, 4696, 8113, 12300?
385*t**2 - 48*t - 1272
What is the h'th term of 31059, 63693, 96327, 128961, 161595, 194229?
32634*h - 1575
What is the j'th term of 143993, 287900, 431807, 575714, 719621, 863528?
143907*j + 86
What is the q'th term of -2405, -4778, -7155, -9536?
-2*q**2 - 2367*q - 36
What is the s'th term of 89981, 179951, 269921, 359891, 449861, 539831?
89970*s + 11
What is the u'th term of 34741, 69396, 104053, 138712, 173373, 208036, 242701?
u**2 + 34652*u + 88
What is the v'th term of 58, 709, 2486, 5953, 11674, 20213, 32134, 48001?
94*v**3 - v**2 - 4*v - 31
What is the j'th term of -181, -2043, -7247, -17455, -34329?
-277*j**3 - 9*j**2 + 104*j + 1
What is the f'th term of -13386793, -13386819, -13386845, -13386871?
-26*f - 13386767
What is the x'th term of -90669746, -90669744, -90669740, -90669734, -90669726?
x**2 - x - 90669746
What is the n'th term of -236693, -474050, -711407, -948764?
-237357*n + 664
What is the u'th term of -4125376, -8250738, -12376096, -16501450, -20626800?
2*u**2 - 4125368*u - 10
What is the p'th term of 78276654, 156553310, 234829966, 313106622?
78276656*p - 2
What is the b'th term of -288843, -577698, -866525, -1155324?
14*b**2 - 288897*b + 40
What is the q'th term of 33698269, 67396541, 101094813, 134793085, 168491357?
33698272*q - 3
What is the v'th term of -2489, -13631, -43831, -102617, -199517, -344059, -545771?
-1588*v**3 - v**2 - 23*v - 877
What is the y'th term of -1802, -4911, -10092, -17345, -26670, -38067?
-1036*y**2 - y - 765
What is the c'th term of 2044, 15857, 53216, 125893, 245660?
1962*c**3 + c**2 + 76*c + 5
What is the n'th term of 8335, 33319, 74951, 133231, 208159, 299735, 407959?
8324*n**2 + 12*n - 1
What is the c'th term of 566, 1622, 3080, 4940, 7202, 9866?
201*c**2 + 453*c - 88
What is the w'th term of -334183407, -334183404, -334183401?
3*w - 334183410
What is the p'th term of -55581, -444607, -1500525, -3556779, -6946813?
-55574*p**3 - 2*p**2 - 2*p - 3
What is the q'th term of -2440624, -4882124, -7323624, -9765124?
-2441500*q + 876
What is the m'th term of -4782, -40052, -135774, -322170, -629462, -1087872?
-5037*m**3 - 4*m**2 + m + 258
What is the o'th term of -123, 742, 2205, 4284, 6997, 10362, 14397?
3*o**3 + 281*o**2 + o - 408
What is the i'th term of -67555348, -67555341, -67555336, -67555333, -67555332, -67555333, -67555336?
-i**2 + 10*i - 67555357
What is the j'th term of 770962, 3083918, 6938842, 12335734, 19274594, 27755422?
770984*j**2 + 4*j - 26
What is the m'th term of 9099, 8926, 8753, 8580?
-173*m + 9272
|
{
"pile_set_name": "DM Mathematics"
}
|
-f**8/560 + f**6/40 - f**5/20 - 2*f**3/3 + 27*f + 1. Let k(c) be the second derivative of l(c). Factor k(h).
-3*h*(h - 1)**2*(h + 2)
Let y(c) be the first derivative of 6 + 0*c**4 + 1/12*c**3 - 5*c - 1/40*c**5 + 0*c**2. Let g(i) be the first derivative of y(i). Factor g(l).
-l*(l - 1)*(l + 1)/2
Let g(a) be the first derivative of -a**8/5040 + a**6/1080 - 20*a**3/3 - 20. Let y(i) be the third derivative of g(i). Factor y(o).
-o**2*(o - 1)*(o + 1)/3
Let g = -15241/5 - -3049. Factor -4/5 - 1/5*q**2 - g*q.
-(q + 2)**2/5
Factor -120/13*k - 1800/13 - 2/13*k**2.
-2*(k + 30)**2/13
Let t = -94 + 98. Suppose 0 = -x + 3*q - t + 3, -q + 7 = 3*x. Suppose 1/2 + 1/2*i**4 + 2*i**3 + 3*i**x + 2*i = 0. What is i?
-1
Let n be ((-18)/(-15)*1)/((-15)/(-25)). Factor -17*d + 2*d**n - 3*d**2 - 144 - 10*d + 3*d.
-(d + 12)**2
Let r(m) be the third derivative of 0*m**4 + 4/105*m**7 + 0*m + 1/15*m**6 - 5/24*m**8 - 10*m**2 + 0*m**5 + 0 + 0*m**3. Factor r(j).
-2*j**3*(5*j - 2)*(7*j + 2)
Let l(z) be the third derivative of -z**6/480 - 41*z**5/240 - 19*z**4/48 + 10*z**3/3 + 815*z**2. Determine p, given that l(p) = 0.
-40, -2, 1
Suppose 0 = -2*y + 5*y - 30. Let j = y - 8. Suppose -3 + 4 - u**j - 3 + 3 = 0. Calculate u.
-1, 1
Let q = 288/17 + -216/85. Let q*t - 12*t**2 - 16/5 + 14/5*t**3 = 0. Calculate t.
2/7, 2
Let w(q) be the first derivative of -2*q**5/25 + 6*q**4/5 - 32*q**3/5 + 64*q**2/5 + 433. Factor w(t).
-2*t*(t - 4)**3/5
Let y(l) be the third derivative of 0*l**3 + 1/40*l**6 + 0*l + 0 + 0*l**5 - 1/105*l**7 - 3*l**2 - 1/24*l**4. Factor y(k).
-k*(k - 1)**2*(2*k + 1)
Let i(q) be the first derivative of -q**3/6 + 3*q**2 + 70. Factor i(t).
-t*(t - 12)/2
Factor 812*j - 836*j + 6*j**2 + 3*j**3 + 0*j**2.
3*j*(j - 2)*(j + 4)
Let u(o) be the first derivative of 4*o**5/15 - o**4/12 - 28*o**3/9 - 17*o**2/6 + 2*o + 70. Solve u(c) = 0 for c.
-2, -1, 1/4, 3
Let t = -1/259 - -264/1295. Let g(r) be the first derivative of t*r**2 + 0*r - 1/10*r**4 + 0*r**3 + 5. Factor g(i).
-2*i*(i - 1)*(i + 1)/5
Let l(v) = -v**3 + 19*v**2 + 182*v. Let c be l(26). Find a such that 1/6*a + c - 1/3*a**2 + 1/6*a**3 = 0.
0, 1
Let j = -1755 + 1757. Factor 0 + 5/3*d**j + 1/3*d**4 - 4/3*d**3 - 2/3*d.
d*(d - 2)*(d - 1)**2/3
Let i(d) = 3*d**2. Let n(l) = 2*l + 31. Let z be n(-16). Let r be i(z). Determine q, given that 1/2 + 0*q**2 + 3/4*q - 1/4*q**r = 0.
-1, 2
Let x(y) be the third derivative of y**7/630 + y**6/180 - 2*y**5/45 - y**4/4 - y**3/2 - 5*y**2 + 82*y. Factor x(z).
(z - 3)*(z + 1)**2*(z + 3)/3
Let l(i) be the second derivative of -i**6/10 - 9*i**5/10 - 9*i**4/4 + 629*i. Factor l(y).
-3*y**2*(y + 3)**2
Let y(k) = -15*k**4 + 9*k**3 + 156*k**2 + 144*k + 24. Let u(h) = 15*h**4 - 8*h**3 - 157*h**2 - 142*h - 24. Let p(l) = -3*u(l) - 4*y(l). Let p(b) = 0. What is b?
-2, -1, -1/5, 4
Suppose -925*d - 973*d - 5*d**2 - 150 + 1983*d = 0. What is d?
2, 15
Let k(t) = t**2 - 6*t. Let n be k(6). Suppose 5 = 4*d + 3*h, -d + 4 = 5*h - 7*h. Find j such that 2/9 + n*j - 2/9*j**d = 0.
-1, 1
Suppose -10 = -9*u + 170. Let s = 20 - u. Factor 3/2*o**4 - 3/2*o**2 + 3*o**3 - 3*o + s.
3*o*(o - 1)*(o + 1)*(o + 2)/2
Suppose 0 = -5*j - 26 + 201. What is f in 692 - j*f**4 + 15*f**2 - 35*f**3 - 692 + 15*f**5 = 0?
-1, 0, 1/3, 3
Let d = 2639 + -2636. Find u, given that 0*u**4 + 0*u - 4/11*u**2 - 6/11*u**d + 0 + 2/11*u**5 = 0.
-1, 0, 2
Let j = 96 + -98. Let r be ((72/42)/j)/(5/(-7)). Factor 7/5*o - 3/5*o**2 + r.
-(o - 3)*(3*o + 2)/5
Suppose -4*t = -2*p - 377 + 373, -5*t - p = -19. Let r(g) be the second derivative of 0 - 1/54*g**4 - 1/9*g**2 - 2/27*g**t - 8*g. Factor r(l).
-2*(l + 1)**2/9
Let z be 64/(-64) - 1*-3. Let x(j) be the third derivative of -2/15*j**3 + 1/150*j**5 - 1/60*j**4 + 5*j**z + 0*j + 0. Find o such that x(o) = 0.
-1, 2
Let v = 82 + -62. Suppose 0 = u + 8*q - 4*q - 2, 0 = -4*u + 2*q + 8. Let -u*b + 6*b + 6*b + 5*b**2 - v + 5 = 0. Calculate b.
-3, 1
Let y(v) be the third derivative of v**5/90 - 3*v**4/4 + 26*v**3/9 - 28*v**2 + 2*v. Factor y(w).
2*(w - 26)*(w - 1)/3
Let l = -6186 + 6186. Factor 2/9*k**5 - 4/3*k**4 + 2*k**3 + l*k**2 + 0*k + 0.
2*k**3*(k - 3)**2/9
Let d be -6 + (0/(-4) - -6). Let i(g) be the first derivative of 9 - 12/5*g**5 + 9/4*g**4 + 5/6*g**6 + 0*g**2 - 2/3*g**3 + d*g. Factor i(m).
m**2*(m - 1)**2*(5*m - 2)
Let g(y) be the first derivative of y + 5. Let k(a) = 6*a**2 - 8*a - 12. Let r(n) = -n + 7. Let x be r(6). Let h(c) = x*k(c) + 4*g(c). Factor h(b).
2*(b - 2)*(3*b + 2)
Suppose 9 = -4*i + 25. Suppose 3*r + 6 = 4*b, -3*b + b = -5*r + i. Factor -z + 0*z**2 + 2 - r + z**2.
z*(z - 1)
Factor -89*z**2 - 99*z**3 + 26*z**4 + 69*z**2 + z**5 - 2*z**5 - 6*z**4 + 100*z.
-z*(z - 10)**2*(z - 1)*(z + 1)
Let o(g) = -8*g**2 + 10*g + 5. Let d(h) be the second derivative of 5*h**4/12 - 5*h**3/6 - 3*h**2/2 - 40*h. Let z(s) = -5*d(s) - 3*o(s). Factor z(k).
-k*(k + 5)
Let n(g) be the first derivative of 361*g**4/16 - 133*g**3/12 - 24*g**2 - 9*g + 41. Determine m, given that n(m) = 0.
-6/19, 1
Factor -95*o**4 + 17*o**3 + 92*o**4 - 35*o**3 + 21*o**2.
-3*o**2*(o - 1)*(o + 7)
Suppose 32*x + 8 = 34*x. Let -3*i - 23*i**5 - 2*i**5 - 2*i**5 + 59*i**3 - i - 24*i**x - 4*i**2 = 0. Calculate i.
-2, -2/9, 0, 1/3, 1
Let v(d) be the third derivative of d**7/245 - d**6/140 - 4*d**5/7 + 4*d**4 - 61*d**2 - 4*d. Factor v(o).
6*o*(o - 4)**2*(o + 7)/7
Let h(c) be the third derivative of -c**9/5040 - c**8/5040 + c**7/630 + c**5/6 - 8*c**2. Let m(g) be the third derivative of h(g). Factor m(q).
-4*q*(q + 1)*(3*q - 2)
Let b = -3 + -4. Let c be 6/(-2 - b/2). Solve c*w + 24 - 24 - 4*w**2 = 0 for w.
0, 1
Let c be (5796/(-342))/(-7) - (-2)/(-1). Suppose -6/19*d + 2/19*d**3 + c*d**2 - 36/19 = 0. What is d?
-3, 2
Suppose -7*c - 5*x - 44 = -43, c = -x - 1. What is i in -12/5 + 12/5*i - 3/5*i**c = 0?
2
Let c be (1 + -5)*439/(-6146). Solve 8/7*z**2 + 0 + 0*z - 8/7*z**3 + c*z**4 = 0.
0, 2
Let l(r) be the second derivative of 0*r**4 - 1/40*r**5 + 1/12*r**3 + 0 - 4*r - 1/120*r**6 + 1/8*r**2. Let l(a) = 0. Calculate a.
-1, 1
Let v(t) = -t. Let f(r) be the second derivative of -r**4/3 - 10*r**3/3 - 24*r**2 - 34*r. Let z(b) = f(b) + 8*v(b). Factor z(k).
-4*(k + 3)*(k + 4)
Let q(n) = 2*n**3 - 14*n**2 - 15*n - 5. Let k be q(8). Find t such that -176/5*t + 344/5*t**2 - 4*t**5 - 308/5*t**k + 32/5 + 128/5*t**4 = 0.
2/5, 1, 2
Let p = 10 + -7. Suppose -2*d - 6 = -4*r, p*r + 1 = 2*d + 4. Find f such that 0*f + 0 + 0*f**2 + 0*f**4 - 2/3*f**d + 2/3*f**5 = 0.
-1, 0, 1
Let u = 316 - 2210/7. Let k(b) be the first derivative of u*b - 2/21*b**3 - 4 + 0*b**2. Factor k(x).
-2*(x - 1)*(x + 1)/7
Factor 98/3*g - 6*g**3 + 2/3*g**4 + 20 + 6*g**2.
2*(g - 6)*(g - 5)*(g + 1)**2/3
Factor -11236/3 - 1/3*u**4 + 7420*u - 10813/3*u**2 - 70*u**3.
-(u - 1)**2*(u + 106)**2/3
Let u(w) be the second derivative of 0*w**2 + 2/3*w**3 - 1/6*w**4 + 0 - 19*w. Solve u(s) = 0 for s.
0, 2
Suppose -n + 5*l - 13 = 2*n, -13 = -2*n - l. Let h be n/(-6) - (-16)/6. Find o, given that 36*o + 24 + 2*o**2 + 16*o**h + 4*o**3 - 2*o**3 + o**3 = 0.
-2
Let g(v) be the third derivative of v**8/2520 + 2*v**7/525 + 7*v**6/450 + 8*v**5/225 + v**4/20 + 2*v**3/45 + 30*v**2 + 5. Find b, given that g(b) = 0.
-2, -1
Suppose 0 = -68*d - 14442 + 14578. Factor -12/5*x**d + 1/5*x**3 + 0 + 0*x.
x**2*(x - 12)/5
Let d(n) = 3*n**2 - 3. Let p(w) = w + 15. Let y be p(-6). Let k(m) = 7*m**2 - 7. Let b(v) = y*d(v) - 4*k(v). Factor b(c).
-(c - 1)*(c + 1)
Let o(p) be the third derivative of 3/20*p**4 + 9*p**2 - 1/2*p**3 - 1/100*p**5 + 0*p + 0. Factor o(d).
-3*(d - 5)*(d - 1)/5
Factor -4/3*f**2 - 2/3*f**3 + 12 + 6*f.
-2*(f - 3)*(f + 2)*(f + 3)/3
Suppose -4*n + 1643 - 677 = -2*x, -5*n + 1210 = -5*x. Let c = n + -2649/11. Determine a, given that -2/11*a**2 - 4/11*a - c = 0.
-1
Let n(u) = -3*u**2 - 126*u - 129. Let s(f) = 2*f**2 + f + 1. Let p(t) = -n(t) - 3*s(t). Solve p(x) = 0 for x.
-1, 42
Let l(x) be the second derivative of -x**6/80 - 7*x**5/60 - 17*x**4/48 - x**3/2 - 17*x**2/2 - 19*x. Let z(g) be the first derivative of l(g). Factor z(f).
-(f + 1)*(f + 3)*(3*f + 2)/2
Factor -1/2*k**4 + 0 + 66*k**3 + 0*k - 131/2*k**2.
-k**2*(k - 131)*(k - 1)/2
Let r(w) be the first derivative of w**7/315 + w**6/45 + w**5/30 - w**4/9 - 4*w**3/9 - 11*w**2 + 2. Let d(z) be the second derivative of r(z). Factor d(c).
2*(c - 1)*(c + 1)*(c + 2)**2/3
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 25, -2*t = 2*y - 18. Let h = 3 - 0. Suppose -h*n = -y*n + 55. List the prime factors of n.
11
Suppose -2*b + j + 8 = 0, 2*b - 3*b + 5 = -j. Suppose 0 = 5*m + 2*g - 110, -m - 2*m = -b*g - 66. List the prime factors of m.
2, 11
Suppose q + 25830 = 15*q. What are the prime factors of q?
3, 5, 41
Let r = -44 - -235. List the prime factors of r.
191
Suppose -3*h + 3*m + 13 = -251, 0 = 5*h + 3*m - 480. Suppose 4*w = 3*w + h. List the prime factors of w.
3, 31
Let u = -32 + 37. Suppose 4*d = d - u*l + 140, -5*d = 5*l - 220. What are the prime factors of d?
2, 5
Let k = -49 - -49. Suppose n - 132 + 10 = k. List the prime factors of n.
2, 61
What are the prime factors of (-2937)/9*-3 + 8?
3, 7, 47
Let k = -23 - -17. Let j be (2/8)/(k/(-48)). Suppose 3*r - 182 = -3*h + j*h, -46 = -r - 4*h. List the prime factors of r.
2, 31
Let d(i) = i**3 - 12*i**2 + 11*i + 4. Let w be d(11). Suppose 2*r + 2*r - p - 546 = 0, -w*r + 4*p + 552 = 0. What are the prime factors of r?
2, 17
Let n = 624 + -556. List the prime factors of n.
2, 17
What are the prime factors of (-5)/(65/13)*-4711?
7, 673
Suppose 0 = 10*r + r - 7502. List the prime factors of r.
2, 11, 31
Let h be (-3)/((2 + 1)/(-9)). Suppose -4*w + h*w = 0. Suppose w = 3*x - 6*x + 15. List the prime factors of x.
5
Suppose -32 - 4 = -12*d. Suppose d*m = 848 - 254. List the prime factors of m.
2, 3, 11
Suppose -2*z = 3*z - 180. What are the prime factors of (-12)/z*(1 + -70)?
23
Suppose 334 = -3*w - 0*p - p, -5*w + 2*p - 542 = 0. Let a = -208 + 362. Let u = w + a. What are the prime factors of u?
2, 11
Let y = 3328 + -2197. List the prime factors of y.
3, 13, 29
Let l(p) = 7*p**3 - p**2 + p - 1. Let m be l(1). Suppose n = 25 + m. What are the prime factors of n?
31
Let d = 0 - 66. Let l = -28 - d. What are the prime factors of l?
2, 19
Let y(t) = -442*t - 11. What are the prime factors of y(-3)?
5, 263
Let j = 607 - 401. List the prime factors of 18/12 + j/4.
53
Let u(k) = k + 3. Let p be u(7). Let q = -8 + p. Suppose -m = -4*j + q*j + 25, 3*m + 31 = 2*j. List the prime factors of j.
11
Suppose 0 = g - u - 864, 0 = g + 3*g - u - 3468. Suppose 4*h = -p + g, -3*h + 2*p + 652 = 3*p. What are the prime factors of h?
2, 3
Let i = -4 + -1. Let b = 0 - i. Suppose 0 = -b*g - 51 + 206. What are the prime factors of g?
31
Let i(d) = -d. Let a(k) = 5*k**2 + 4*k - 1. Let h(b) = a(b) + 4*i(b). What are the prime factors of h(5)?
2, 31
Let s = 250 + 172. What are the prime factors of s?
2, 211
Let h be (-40)/12*(-12)/10. Suppose -4*g = h*b - 188, 5*g - 325 + 86 = -3*b. What are the prime factors of g?
7
Let g = 105 - 74. Let o = 55 - g. Suppose 6*l - o = 3*l. What are the prime factors of l?
2
Let k(b) = 51*b**3 - 2*b**2 - 2*b + 6. Let s be k(2). Suppose -c + 178 + s = 4*o, 600 = 4*o - 4*c. What are the prime factors of o?
2, 73
Let i(s) = s**3 - 10*s**2 - 2*s + 5. Let t be i(10). List the prime factors of (-80)/6*36/t.
2
Let m(z) = -2*z + 20. Suppose -2*i + 30 = 3*d, -5*d - 7 = -2*i + 7. Let n be m(i). What are the prime factors of (4/12)/(n/(-144))?
2, 3
Let r(l) = 9*l**2 + 3*l. Let m(k) be the second derivative of k**4/12 + 2*k**3/3 - 7*k**2/2 + 9*k. Let q be m(-5). List the prime factors of r(q).
2, 3, 5
Suppose -4*f + 2 + 10 = 0. List the prime factors of (94/4)/(f/18).
3, 47
Let q = 579 + -218. List the prime factors of q.
19
Suppose 7*l + 364 = 20*l. List the prime factors of l.
2, 7
Let b = -72 + 42. What are the prime factors of (-3)/(62/b - -2)?
3, 5
Let l(p) = 4*p**2 + p. Let j be ((-2)/(-4))/(2/4). Let s be l(j). Suppose 0 = s*r - 31 - 29. List the prime factors of r.
2, 3
Suppose -1 = 2*j - 11. Let t(y) = y**2 + 5*y + 3. Let l be t(-5). Suppose 5*i + l = o, o - 75 = -4*o + j*i. What are the prime factors of o?
2, 3
Suppose g + 4*g = 3*h + 2167, 2*g - 850 = -3*h. What are the prime factors of g?
431
Let w be 4/10 - (-195)/75. Let a = 17 - w. List the prime factors of a.
2, 7
Let a(z) = 101*z + 5. Let q(c) = -6*c**3 - 2*c**2 - 3*c - 1. Let h be q(-1). Let b be a(h). Suppose -8*f + b = 59. List the prime factors of f.
3, 23
Suppose 5*s + 0 = -5, -2*g + 3*s + 75 = 0. List the prime factors of g.
2, 3
What are the prime factors of (-37110)/(-22) - 158/(-869)?
7, 241
What are the prime factors of 102/(-15)*(3 - 3 - 260)?
2, 13, 17
Let z = -67 - -125. Let s = 110 - z. What are the prime factors of s?
2, 13
Let n(y) = -5*y**3 - 3*y**2 + 3*y - 7. What are the prime factors of n(-4)?
11, 23
Suppose 3*f + r = 1468 + 2775, 0 = -5*f - r + 7075. List the prime factors of f.
2, 3, 59
What are the prime factors of (36/8)/(7/378)?
3
Let b(y) = 8 + 5*y - 46*y - 36*y - 7. What are the prime factors of b(-1)?
2, 3, 13
Suppose -4*v + 68 = q, v - 332 = -4*q - 0*q. What are the prime factors of q?
2, 3, 7
Let h(q) = q - 12. Let v be h(12). What are the prime factors of 1/1 + v - (-53 + -17)?
71
Suppose 5*m - 3*a = -682, 5*a = -3*m + 4*m + 132. Let r = -17 - m. List the prime factors of r.
2, 3, 5
Let w(m) = 4*m + 1. Suppose 0 = 2*k - 3 - 1. Suppose k*p - 6 + 0 = 0. What are the prime factors of w(p)?
13
Let s(o) = 8*o**2 - 2*o. Let n(j) = -j**2 + j. Suppose 0 = 5*i - 4*w - 12, -3*i = -4*w + 1 - 5. Let q(a) = i*n(a) + s(a). What are the prime factors of q(-2)?
2, 3
Suppose -431 - 1102 = -3*j. List the prime factors of j.
7, 73
Suppose -7*c = -2*c - 20. What are the prime factors of 11/((-330)/(-604)) + c/(-30)?
2, 5
Suppose 0 = -2*a - 6 + 10. List the prime factors of ((-1134)/70)/(a/(-10)).
3
Let o(h) = 0*h**2 + h**2 + 4 - 3*h + 7*h. Let p be o(-2). Suppose p*l - 12 = -2*l. What are the prime factors of l?
2, 3
Suppose -4*h + 3836 = -3*c, 2*c - 506 = -4*h + 3330. What are the prime factors of h?
7, 137
Let h(z) = -z**2 - 2*z + 2. Let l be h(-2). Suppose -l*j - 2 = -8. What are the prime factors of j?
3
Let h = 1385 - 2525. Let w be 104/(-5)*h/24. List the prime factors of (-4)/(-32) + w/32.
31
Let k = 727 - 308. List the prime factors of k.
419
Let q(d) = 26*d - 126. List the prime factors of q(29).
2, 157
Suppose 3*q = f + 1571, -2098 = -4*q - 3*f + 5*f. List the prime factors of q.
2, 3, 29
What are the prime factors of 4/(-18) - (6 - (-281796)/(-108))?
19, 137
Let x(b) be the first derivative of -5*b - 15/2*b**2 + 3. What are the prime factors of x(-4)?
5, 11
Suppose r + 2*w = 816, 5*w + 2266 = 2*r + 607. List the prime factors of r.
2, 3, 137
Suppose -4*k - 16 = -376. Let j = -57 + k. List the prime factors of j.
3, 11
What are the prime factors of (5 - 279)*(1/2 + -1)?
137
Let v(z) = z**2 + 4. Suppose -3*g = -4*g. Let r = g + -4. What are the prime factors of v(r)?
2, 5
Suppose 312 = -3*q + 3*x + 1275, 1302 = 4*q + 5*x. Suppose d - o - 149 + 40 = 0, -q = -3*d + o. List the prime factors of d.
107
Let o(h) = -h**3 + 17*h**2 + 10*h + 22. List the prime factors of o(10).
2, 3, 137
Let i(x) = 2*x**2 - 24*x + 6. Let b be i(-11). What are the prime factors of 18/(-8)*b/(-24)?
2, 3
Let j(u) = -5*u**2 + 2*u - 1. Let p be j(-2). Let x = -9 - p. Let l = 38 - x. List the prime factors of l.
2, 11
Let g(h) = -10 + 5*h + 81*h + 4. What are the prime factors of g(1)?
2, 5
List the prime factors of 1290/(3/((-15)/(-5))).
2, 3, 5, 43
Let h(i) = 162*i**3 - 2*i**2 + 2*i - 2. Let m(w) = -w**3 + w**2. Let u(s) = h(s) + 3*m(s). List the prime factors of u(1).
2, 5
Suppose p = -2*p - 3*m + 12, -3*p + m + 8 = 0. List the prime factors of p.
3
Suppose -3*l - 20 - 16 = 0. What are the prime factors of 111/12 - (-3)/l?
3
Let y = 425 - -33. List the prime factors of y.
2, 229
Suppose -3*f - 3*v + 90 = 0, f - 6*f + 158 = -3*v. Let s = -18 + f. Suppose -38 = -t - 2*y + s, -3*y + 194 = 4*t. What are the prime factors of t?
47
Let o(v) = 3*v + 16. Let m be o(-7). List the prime factors of m/(20/(-172)) - -1.
2, 11
Suppose 4*b - 3611 - 2962 = 3*x, -5*x + 4937 = 3*b. List the prime factors of b.
2, 3, 137
Let v = 24 - 3. Suppose 2*l = 20 + 12. Let k = v - l. List the prime factors of k.
5
Suppose 0 = 82*p - 87*p + 2045. List the prime factors of p.
409
Suppose -22791 = -25*x + 7034. List the prime factors of x.
1193
Let g(w) = 11*w + 465. List the prime factors of g(16).
641
Let w be 190/15*(-3)/2. Let i be (-8)/40 + w/5. Let c(d) = -6*d - 1. List the prime factors of c(i).
23
Let m = -95 + 62. Let w = m + 77. Suppose -w = -0*b - 4*b. What are the prime fa
|
{
"pile_set_name": "DM Mathematics"
}
|
- o**6/120 + 76*o**5/15 + 967*o**3/2 - 22*o**2 - 20. Differentiate k(j) with respect to j.
-16*j**3 - 3*j**2 + 608*j
Let x(w) be the third derivative of -1189*w**6/120 + 481*w**5/30 - 1088*w**2. What is the third derivative of x(h) wrt h?
-7134
Let r(h) be the second derivative of 3949*h**3/6 + 5479*h**2/2 - 3120*h. Differentiate r(a) wrt a.
3949
Find the second derivative of -7*l**3 - l + 20*l**4 + 0*l**3 + 2632 + 32*l**5 + 11*l**3 + 5*l**3 - 30*l**5 wrt l.
40*l**3 + 240*l**2 + 54*l
Let r(i) = -14*i**3 - 30*i**2 + 21435*i - 33. Let y(w) = 5*w**3 + 11*w**2 - 7142*w + 12. Let a(h) = -4*r(h) - 11*y(h). Find the second derivative of a(m) wrt m.
6*m - 2
Suppose -5*k - w + 103 = 0, 0 = 5*k - 3*w - 145 + 34. What is the second derivative of -k*i**2 - 6*i**2 + 4*i + 83*i**2 + 4*i - 9 - 4*i wrt i?
112
Suppose -2*x + 8 = -4*t + 4, 6 = t + 3*x. Suppose -9 = -t*m - 3*m. What is the third derivative of -10*r**5 + r**5 + 4*r**5 - 12*r**2 + m*r**5 wrt r?
-120*r**2
Let m be (-7 + 5)/(4/(-10))*1. What is the second derivative of -150*t**5 - 2*t + 7*t + t**5 - 15*t**m wrt t?
-3280*t**3
What is the third derivative of -10*x**5 + 27*x**5 + 55*x**4 + 440*x**3 + 439*x**3 + 6040*x**2 - 882*x**3 - 22*x**4 wrt x?
1020*x**2 + 792*x - 18
Let c(k) be the first derivative of 771*k**7/7 + 2*k**3/3 - 206*k - 225. Find the third derivative of c(u) wrt u.
92520*u**3
Let m = -65 - -69. Suppose 5*k = -20, y - m*k - 14 - 4 = 0. What is the second derivative of 10*b + 4*b + 17*b**2 - y*b wrt b?
34
Suppose -8 = -3*u + 67. Suppose 3*o + 2*o - u = 0. Find the third derivative of f**o - 560*f**6 + 554*f**6 - f**5 + 15*f**2 wrt f.
-720*f**3
Let f be ((-1)/(-3))/((-3)/(-36)). Suppose -15*x - 9 = -69. Differentiate 194*w**x - 319*w**f - 26 + 158*w**4 wrt w.
132*w**3
Let g(d) be the second derivative of 12*d**7/7 + d**6/2 + d**4/12 - 7*d**3/3 - d - 587. Find the third derivative of g(v) wrt v.
4320*v**2 + 360*v
Let h(q) be the first derivative of -17*q**7/7 - 801*q**3 - 81. Find the third derivative of h(a) wrt a.
-2040*a**3
Let b(c) be the second derivative of -1155*c**3/2 + 2803*c**2/2 - 2*c - 1221. What is the derivative of b(d) wrt d?
-3465
Let w(s) = -s**3 + 5*s**2 - s + 1. Let t(v) = -v**3 - 5*v**2 - 296*v - 176. Let l(h) = -t(h) - w(h). What is the derivative of l(z) wrt z?
6*z**2 + 297
Find the third derivative of -7 - 34*h + h**2 - 95394*h**6 + 190792*h**6 + 2*h**5 + 273*h**4 - 95400*h**6 wrt h.
-240*h**3 + 120*h**2 + 6552*h
What is the first derivative of 452*b**4 - 300*b**4 - 490*b**4 + 2551 - 1080*b**4 - 1062*b**4 wrt b?
-9920*b**3
Let d = 104 - 88. What is the second derivative of -15*l**2 + 0 - 13*l - d*l**2 - 32 - 2*l**3 + 12*l wrt l?
-12*l - 62
Let g(d) be the third derivative of 5*d**9/252 - 3*d**6/2 + d**5/30 + 23*d**4/24 + 19*d**3/6 - 453*d**2 + 7*d. Find the third derivative of g(m) wrt m.
1200*m**3 - 1080
Let y(w) = 25*w**3 + 49*w - 2949. Let o(g) = -48*g**3 - 99*g + 5898. Let a(h) = 11*o(h) + 21*y(h). What is the derivative of a(f) wrt f?
-9*f**2 - 60
Let y(w) = -5*w - 39. Suppose -6*i + 5*i = 9. Let g be y(i). Find the second derivative of 48*l**3 - 7*l + 7 + g*l - 1 - 1 wrt l.
288*l
Suppose -5*u = 5*h - 28 - 7, -4*h = -20. Suppose -44*i - 90 = -59*i. Find the third derivative of -31*g**2 + 3*g**3 + i*g**3 + 11*g**u - g**3 wrt g.
48
Find the second derivative of -105 - 146*y - 171*y + 50*y**2 + 105 + 163*y**2 wrt y.
426
Let z(j) be the second derivative of 17/6*j**3 - 113/12*j**4 - 110*j + 1/2*j**2 + 0. What is the second derivative of z(c) wrt c?
-226
Let k(y) be the third derivative of 287*y**6/15 - 87*y**4/8 - y**3/3 - 34*y**2 + 23*y. Find the second derivative of k(m) wrt m.
13776*m
What is the derivative of -40383 + 18*s**4 + 40322 - 375*s**4 wrt s?
-1428*s**3
What is the first derivative of -557 + 173 + 9384*f + 1420*f wrt f?
10804
Let j(c) = c**3 + 22*c**2 + 22*c + 34. Let r be j(-21). What is the second derivative of 57*h + r - 55*h - 1 - 65*h**2 wrt h?
-130
What is the third derivative of 8 + 1471*g**3 - 12*g**2 + 3 + 10 - 24 - 33*g wrt g?
8826
Let m(j) = 5*j - 12. Let i be m(3). Find the second derivative of 102*l**3 - 13*l**i - 35*l**3 + 17*l wrt l.
324*l
Let k(p) be the third derivative of -29*p**6/20 + 83*p**3/2 - 3*p**2 - 172. Find the first derivative of k(d) wrt d.
-522*d**2
What is the derivative of 1493 + 482 - 1341*o**2 - 1548*o**2 wrt o?
-5778*o
Let t(l) be the first derivative of 104*l**2 - 866*l + 497. Find the first derivative of t(h) wrt h.
208
Let l(f) be the third derivative of f**7/210 - 173*f**5/30 - 415*f**4/8 + 20*f**2 + 16*f. Find the second derivative of l(z) wrt z.
12*z**2 - 692
Let k(v) be the first derivative of 0*v**3 - 199*v - 71 + 0*v**2 + 137/4*v**4. What is the first derivative of k(c) wrt c?
411*c**2
Suppose s + 2*q = -2, -3*s + 2*s - 5*q = -1. Let d be 0 + 46/6 - s/(-6). What is the derivative of -4*v - 10 - 4 - 11*v - d*v wrt v?
-22
What is the second derivative of -2993*d + 64*d**3 + 662*d - 19*d**4 + 54*d**4 - 65*d**3 wrt d?
420*d**2 - 6*d
Let o(b) = -b**2 - 14*b + 53. Let x be o(-17). What is the third derivative of -5*d**2 - 110*d**3 + 3*d**2 - 2*d**x + 12*d**3 wrt d?
-588
What is the second derivative of -m**3 + 997*m**2 - 132*m - 536*m**2 - 270*m**2 + 0*m**3 - 209*m wrt m?
-6*m + 382
Let b(o) = o**2 - 14*o + 77. Let c be b(8). Let l(x) be the first derivative of 17/2*x**2 + 0*x + 10/3*x**3 - c. Find the second derivative of l(z) wrt z.
20
Let d(i) = 7*i**2 + 5*i. Let m be d(-1). Differentiate m*w**2 + 24 + 63*w**4 + 58*w**4 + 97 - 134*w**4 wrt w.
-52*w**3 + 4*w
Let m(u) be the second derivative of 1/2*u**3 - 51/4*u**4 + 5/2*u**2 + 28*u - 4. Find the second derivative of m(k) wrt k.
-306
Find the first derivative of -315 - 835 + 890*b**4 - 1436 + 714 wrt b.
3560*b**3
Let j(s) = -2*s**3 + 10*s**2 - 7*s + 5. Let w = -35 + 39. Let v be j(w). What is the second derivative of v*b - b + 0*b - 94*b**5 + 93*b**5 wrt b?
-20*b**3
Let j(d) = 3*d + 19. Let t(g) = -4*g - 19. Suppose 192*c - 9*c - 1050 = -27*c. Let w = 8 - 4. Let k(y) = c*j(y) + w*t(y). Differentiate k(l) with respect to l.
-1
Suppose 34*p - 29*p = 435. Let t(u) = 120*u**2 + 33*u**2 - p - 27. Let q(b) = 8*b**2 - 6. Let v(r) = -117*q(r) + 6*t(r). Differentiate v(m) with respect to m.
-36*m
Let j be (4 - 7 - 0)/((-6)/4). What is the third derivative of 275*r**6 - 2*r**j - 3 + 304*r**6 - 689*r**6 wrt r?
-13200*r**3
Let h(b) be the third derivative of 809*b**4/24 - 535*b**3/3 - 12*b**2 - 11*b - 2. Differentiate h(l) wrt l.
809
Let y(f) be the first derivative of 488*f**3 + 1081*f + 118. Find the first derivative of y(x) wrt x.
2928*x
Let r(s) be the first derivative of 169*s**6/60 - 11*s**3/3 - 153*s**2 - 55. Let v(i) be the second derivative of r(i). Find the first derivative of v(b) wrt b.
1014*b**2
Let m be (-1)/(5/(-60)*-3) - -7. Find the second derivative of -k**5 - 22*k**2 - 5 + 7*k**m + 8 - k - 7*k**3 wrt k.
-20*k**3 - 44
Let t(m) = 3*m**3 + 2*m**2 - 2*m + 2. Let a be t(2). Suppose -8*x + 18 = -a. Differentiate -6 + 3 - x - 4*w**3 with respect to w.
-12*w**2
Let t be (30/(-12) + -1)*-2. Find the first derivative of -69 - 7*v**2 + t*v + 10*v - 28*v wrt v.
-14*v - 11
Let h(a) = 11*a**3 + 2*a**2 - 565*a - 6. Let f(p) = -10*p**3 - 3*p**2 + 564*p + 9. Let o(u) = -2*f(u) - 3*h(u). Find the second derivative of o(s) wrt s.
-78*s
Suppose -40*n - 60 = -55*n. Let b(l) be the first derivative of -n + 3*l**2 - 14/3*l**3 + 0*l. Find the second derivative of b(o) wrt o.
-28
What is the second derivative of 24016*z + 35 + 10*z**2 + 24034*z - 48027*z + 103*z**3 wrt z?
618*z + 20
Let o(v) = 13*v + 21. Let d be o(1). Let p = 8 - 5. Find the second derivative of 193*f**p - d*f**4 - 193*f**3 + 21*f wrt f.
-408*f**2
Let i(g) be the first derivative of -5027*g**5/5 + 65*g**3/3 + g**2 - 3*g + 5282. Find the third derivative of i(n) wrt n.
-120648*n
Let v(z) = 671*z**4 - 8*z**2 + 161*z - 2. Let j(g) = -1342*g**4 + 19*g**2 - 323*g + 5. Let s(y) = 3*j(y) + 7*v(y). Find the second derivative of s(c) wrt c.
8052*c**2 + 2
Let x = -346 + 382. What is the first derivative of -48 - x + 7*o**4 - 7 wrt o?
28*o**3
Find the second derivative of -h**4 - 7*h**2 + 3*h**4 - 697*h + 1122*h wrt h.
24*h**2 - 14
Let f = 34 - 24. Suppose 6 - f = -r. Differentiate -28 - 30 + 11*h**r + 57 with respect
|
{
"pile_set_name": "DM Mathematics"
}
|
17346*p**3 + 75203581*p**2 + 150459204*p + 75238276.
(p - 8674)**2*(p + 1)**2
Factor -d**3/5 - 9726*d**2/5 + 38916*d/5 - 7784.
-(d - 2)**2*(d + 9730)/5
Find c such that 1024*c**4/3 - 259264*c**3/3 - 245149*c**2 - 468910*c/3 - 86528/3 = 0.
-2, -13/32, 256
Suppose -3*k**2 - 4134*k + 58464 = 0. What is k?
-1392, 14
Factor 3*t**2/8 + 243*t/4.
3*t*(t + 162)/8
Suppose -2*k**2 + 286626*k - 286624 = 0. What is k?
1, 143312
Solve -4*c**3 + 350848*c**2 - 701684*c + 350840 = 0 for c.
1, 87710
Factor f**2 - 24857*f.
f*(f - 24857)
Let y**3/4 - 1365*y**2/4 + 621027*y/4 - 94174407/4 = 0. What is y?
447, 459
Find u, given that 3*u**3 + 12237*u**2 + 12545712*u + 136526148 = 0.
-2034, -11
Solve -5*w**3 - 54145*w**2 + 54150*w = 0 for w.
-10830, 0, 1
Factor 60*g**3 - 131148*g**2 - 131157*g/5 - 6558/5.
3*(g - 2186)*(10*g + 1)**2/5
Find s such that 3*s**5/2 + 588*s**4 + 116415*s**3/2 + 114075*s**2 = 0.
-195, -2, 0
Factor -2*b**3/5 - 10830*b**2 - 366554886*b/5 - 366500738/5.
-2*(b + 1)*(b + 13537)**2/5
Determine w, given that 3*w**3/8 + 2493*w**2/8 - 3753*w/4 = 0.
-834, 0, 3
Factor 3*c**2 - 2910504*c + 705919461168.
3*(c - 485084)**2
Factor -5*v**4 - 65235*v**3 - 212812875*v**2 - 212747645*v.
-5*v*(v + 1)*(v + 6523)**2
Let 4*f**5 + 12499*f**4 - 3137*f**3 - 37489*f**2 + 34373*f - 6250 = 0. Calculate f.
-3125, -2, 1/4, 1
Factor -j**2/5 - 392*j/5 - 36652/5.
-(j + 154)*(j + 238)/5
Solve -2*m**5 + 66*m**4 + 834*m**3 + 1166*m**2 - 2064*m = 0.
-8, -3, 0, 1, 43
Factor 3*b**3 + 6462*b**2 - 51888*b.
3*b*(b - 8)*(b + 2162)
Suppose 4*i**3/3 - 44584*i**2/3 - 29728*i = 0. What is i?
-2, 0, 11148
Factor -2*i**2/5 + 47866*i/5 + 47868/5.
-2*(i - 23934)*(i + 1)/5
Factor 4*c**2 + 26572*c - 26576.
4*(c - 1)*(c + 6644)
Let 345*m**2/7 + 14928*m/7 - 9081/7 = 0. Calculate m.
-1009/23, 3/5
Solve -2*g**2/5 - 1652956*g/5 - 341532942242/5 = 0 for g.
-413239
Find m such that 125*m**4 - 404325*m**3 - 971315*m**2 + 695985*m - 97110 = 0.
-3, 1/5, 2/5, 3237
Factor -u**5 - 12*u**4 - 10*u**3 + 12*u**2 + 11*u.
-u*(u - 1)*(u + 1)**2*(u + 11)
Determine p, given that -p**3/5 + 21*p/5 + 4 = 0.
-4, -1, 5
Suppose 4*t**2 + 4844*t + 349272 = 0. What is t?
-1134, -77
Solve 3*i**4 - 18*i**3 - 8100*i**2 + 204456*i - 1340640 = 0.
-60, 14, 38
Factor -3*w**5 + 1629*w**4 - 228285*w**3 + 1924803*w**2.
-3*w**2*(w - 267)**2*(w - 9)
Factor -q**3/10 - 9326*q**2/5 + 37307*q/10 - 9327/5.
-(q - 1)**2*(q + 18654)/10
Factor z**2/4 + 44503*z/2 + 1980517009/4.
(z + 44503)**2/4
Solve 31205*s**2 + 176960*s + 250880 = 0 for s.
-224/79
Let 3*n**3 - 897*n**2 + 13776*n - 54336 = 0. Calculate n.
8, 283
Solve -5*a**2 + 28830*a - 86445 = 0 for a.
3, 5763
Factor 15*a**2 + 52750*a - 17585.
5*(a + 3517)*(3*a - 1)
Solve 3*y**3 - 1059*y**2 + 93456*y = 0.
0, 176, 177
Factor u**4 - 2471*u**3 + 2079315*u**2 - 630528325*u + 29212967000.
(u - 805)**3*(u - 56)
Determine f, given that -2*f**2/9 + 880*f/9 + 898 = 0.
-9, 449
Suppose 3*g**2 - 11991*g - 11994 = 0. Calculate g.
-1, 3998
Factor 4*t**2/3 + 221596*t/3 + 443176/3.
4*(t + 2)*(t + 55397)/3
Determine h, given that -h**4 + 301*h**3 + 1833*h**2 + 2763*h = 0.
-3, 0, 307
Find j such that 4*j**4 - 572*j**3 + 11036*j**2 + 572*j - 11040 = 0.
-1, 1, 23, 120
Solve 3*q**5/2 - 1605*q**4/2 - 5682*q**3 - 4878*q**2 = 0.
-6, -1, 0, 542
Suppose 4*g**3 - 9692*g**2 + 5856364*g + 17656428 = 0. What is g?
-3, 1213
Factor -q**3/7 - 12276*q**2/7 - 38221389*q/7 - 3341218410/7.
-(q + 90)*(q + 6093)**2/7
Factor 2*l**2/11 + 39496*l/11 + 194991752/11.
2*(l + 9874)**2/11
Solve 5*s**3 + 845*s**2 - 18400*s + 94500 = 0 for s.
-189, 10
Let -27*m**5 - 94356*m**4 - 157152*m**3 + 115302*m**2 + 115275*m + 20958 = 0. What is m?
-3493, -2, -1/3, 1
Factor -2*r**2 - 11026*r + 165840.
-2*(r - 15)*(r + 5528)
Suppose 2*q**3/5 - 84*q**2/5 - 666*q/5 - 196 = 0. Calculate q.
-5, -2, 49
Find p, given that -2*p**2/9 - 139036*p/9 - 2416376162/9 = 0.
-34759
Find m, given that -2*m**3 + 404*m**2 + 814*m + 408 = 0.
-1, 204
Suppose 4*h**5/7 + 122576*h**4/7 + 939177296*h**3/7 + 1877741752*h**2/7 - 939177300*h/7 - 1877864328/7 = 0. Calculate h.
-15321, -2, -1, 1
Factor -12*k**2/7 + 321*k/7 + 152781/7.
-3*(k - 127)*(4*k + 401)/7
Let 2*n**2/9 - 4748*n - 684224/9 = 0. Calculate n.
-16, 21382
Solve -r**2 + 2164*r = 0.
0, 2164
Suppose 2*h**4/17 - 13290*h**3/17 + 13288*h**2/17 = 0. Calculate h.
0, 1, 6644
Let y**5 - 35*y**4 + 221*y**3 - 97*y**2 - 1002*y - 648 = 0. What is y?
-1, 4, 6, 27
Let -86*j**5/13 - 105182*j**4/13 - 42847340*j**3/13 - 5799933792*j**2/13 + 5571217152*j/13 + 271669248/13 = 0. What is j?
-408, -2/43, 1
Suppose -5*d**2 + 16770*d - 133840 = 0. Calculate d.
8, 3346
Factor -3*n**2/5 - 3875*n - 6458/5.
-(n + 6458)*(3*n + 1)/5
Let 5*u**2 + 1466680*u + 107557511120 = 0. Calculate u.
-146668
Find t such that 2*t**5 - 166*t**3 - 420*t**2 + 632*t + 1680 = 0.
-7, -3, -2, 2, 10
Factor d**3 - 6795*d**2 + 11539608*d + 11546404.
(d - 3398)**2*(d + 1)
Let 12*x**3/5 - 11931*x**2 + 14913*x/5 = 0. Calculate x.
0, 1/4, 4971
Find x, given that -12*x**4 - 316156*x**3 - 2081491752*x**2 + 11805906816*x + 4166567424 = 0.
-13176, -1/3, 6
Factor w**4/2 + 5*w**3 - 188*w**2 - 1664*w + 9216.
(w - 18)*(w - 4)*(w + 16)**2/2
Factor t**3/2 - 315*t**2/2 - 3225*t/2 - 8125/2.
(t - 325)*(t + 5)**2/2
Suppose b**5/4 - 53*b**4/4 - 475*b**3/4 - 787*b**2/4 - 183*b/2 = 0. Calculate b.
-6, -1, 0, 61
Let -43*x**2/5 - 106*x/5 + 69/5 = 0. Calculate x.
-3, 23/43
Factor 4*a**3 + 2744*a**2 + 79620*a + 590400.
4*(a + 15)**2*(a + 656)
Factor -4*s**3 - 2116*s**2 + 2128*s + 4240.
-4*(s - 2)*(s + 1)*(s + 530)
Factor -2*d**4/7 - 12512*d**3/7 - 19606268*d**2/7 - 117300000*d/7 - 175781250/7.
-2*(d + 3)**2*(d + 3125)**2/7
Let -2*z**4/19 - 4*z**3/19 + 6846*z**2/19 + 221848*z/19 + 1993112/19 = 0. Calculate z.
-29, -22, 71
What is m in 2*m**2/5 - 65366*m/5 - 261496/5 = 0?
-4, 32687
Determine n, given that 2*n**5/9 + 34*n**4/3 + 1226*n**3/9 - 514*n**2/3 - 2668*n/9 = 0.
-29, -23, -1, 0, 2
Factor 2*w**3/5 + 258*w**2/5 + 1252*w/5 + 1488/5.
2*(w + 2)*(w + 3)*(w + 124)/5
Factor -3*z**5 + 16077*z**4 - 21563265*z**3 + 64593363*z**2 - 64561224*z + 21515052.
-3*(z - 2678)**2*(z - 1)**3
Factor 4*u**2 + 14828*u + 88824.
4*(u + 6)*(u + 3701)
Factor 3*y**3 - 1419*y**2 - 2850*y.
3*y*(y - 475)*(y + 2)
Factor -5*h**3/4 - 1869*h**2/4 - 174471*h/4 + 34969/4.
-(h + 187)**2*(5*h - 1)/4
Suppose z**2/8 + 28427*z/2 + 808094329/2 = 0. Calculate z.
-56854
Suppose 4*g**4 + 6152*g**3 + 6148*g**2 = 0. Calculate g.
-1537, -1, 0
Determine b, given that -b**4 - 93*b**3 - 355*b**2 + 93*b + 356 = 0.
-89, -4, -1, 1
What is p in -2*p**2/7 - 9210*p/7 + 36872/7 = 0?
-4609, 4
Find y such that -5*y**2/2 - 380705*y/2 + 190355 = 0.
-76142, 1
Factor 112*s**2/5 - 1908*s/5 + 68/5.
4*(s - 17)*(28*s - 1)/5
Let -2*z**4/7 - 4924*z**3/7 + 2*z**2/7 + 4924*z/7 = 0. What is z?
-2462, -1, 0, 1
Factor 35*n**3 - 5230*n**2 - 140*n + 20920.
5*(n - 2)*(n + 2)*(7*n - 1046)
Determine h so that h**4/4 - 183*h**3/2 - 18495*h**2/4 = 0.
-45, 0, 411
Let -2*k**3/5 - 2232*k**2/5 - 496128*k/5 + 14786560 = 0. What is k?
-608, 100
Determine h so that -2*h**5 - 224*h**4 - 7266*h**3 - 54324*h**2 - 47736*h + 374544 = 0.
-51, -6, 2
Solve -2*l**4/3 - 1252*l**3/3 + 5080*l**2 - 15312*l = 0 for l.
-638, 0, 6
Factor -5*u**2 - 3825*u - 155230.
-5*(u + 43)*(u + 722)
Factor 2*a**3 + 17356*a**2 - 18*a - 156204.
2*(a - 3)*(a + 3)*(a + 8678)
Factor 2*z**3 - 11086*z**2 + 99652*z - 221360.
2*(z - 5534)*(z - 5)*(z - 4)
Factor -f**3/7 - 239375*f**2/7 - 14325217343*f/7 - 14324977969/7.
-(f + 1)*(f + 119687)**2/7
Factor 3*o**4 - 4532202*o**3 + 1711733381859*o**2 + 3423480360336*o + 1711742446272.
3*(o - 755368)**2*(o + 1)**2
Determine l, given that 123*l**5/2 - 2343*l**4/2 - 6831*l**3 - 11226*l**2 - 5340*l + 288 = 0.
-2, -1, 2/41, 24
Find c such that -3*c**3 - 1311*c**2 + 146592*c - 3684096 = 0.
-533, 48
Solve 27*d**2 + 111*d + 90 = 0 for d.
-3, -10/9
Solve -2*m**2 + 3660*m + 3662 = 0.
-1, 1831
Factor -2*c**2/7 - 103752*c/7 - 1345559688/7.
-2*(c + 25938)**2/7
Factor -4*k**3 - 341*k**2 + 1339*k + 356.
-(k - 4)*(k + 89)*(4*k + 1)
Solve 3*g**5 + 870*g**4 + 58431*g**3 - 695304*g**2 - 1433700*g + 8910000 = 0.
-150, -4, 3, 11
Factor 2*t**2/7 - 1290*t/7 + 11448/7.
2*(t - 636)*(t - 9)/7
Factor 2*d**4 + 326*d**3 + 13070*d**2 - 13398*d.
2*d*(d - 1)*(d + 77)*(d + 87)
Factor -4*n**3 - 552*n**2
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 3*y = 5*i - 325, -2*i - 49 = x*y - 179. What are the prime factors of i?
5, 13
List the prime factors of (9/6)/(6/1224).
2, 3, 17
Let y = 266 + -95. Let o = y - 88. What are the prime factors of o?
83
Suppose -5*c - 20 = 0, -323 - 1205 = -2*i + 2*c. List the prime factors of i.
2, 5, 19
Let t = 7 - -16. Let q = t - 15. Let o = q - 5. List the prime factors of o.
3
Let k(z) = 29*z + 371. What are the prime factors of k(0)?
7, 53
Suppose -s + 148 = 3*h - 19, 2*h = 2*s + 114. Suppose 2*l - 8 = -0*l, -l - h = 4*z. List the prime factors of 19 + z - (-118)/2.
3, 7
Suppose 0 = o + 2*d - 8 - 2, -5*d = -20. Suppose o*c - 42 = 100. List the prime factors of c.
71
Let h = -20 - -25. Suppose 4*b + h*b = 108. What are the prime factors of b?
2, 3
Suppose -5*w = -15 - 5. Suppose 7*a - 693 = w*a. What are the prime factors of a?
3, 7, 11
Let t = 650 + -290. Suppose 5*a - 90 = -y, -4*y + a + t = 5*a. List the prime factors of y.
2, 3, 5
Let d(h) = 1 + 2 - 3 - 2*h. Let z be d(-3). Suppose -z*f = 2*b - 2*f - 46, -8 = 2*f. What are the prime factors of b?
31
Let w be (-1 + -1)/(1/(-500)). Suppose 0 = -h + 6*h - w. Suppose -5*x + h = -x. What are the prime factors of x?
2, 5
Suppose 11 + 9 = 10*b. Suppose 3*m = 5*y - 343, -3*y + b*m - 4*m + 202 = 0. List the prime factors of y.
2, 17
What are the prime factors of 69960/24 - (-5 + 2)?
2, 1459
Let p = 294 - 50. What are the prime factors of p?
2, 61
Let i(q) = q**3 - 22*q**2 - 186*q + 23. List the prime factors of i(30).
31, 53
Suppose j - 4 - 5 = 0. Let p be 38/(-3) - 6/(-9). What are the prime factors of (p/4)/j*-51?
17
Let f = -3 - 1. Let j be (-25)/(-2) + (-6)/f. Let h = -10 + j. List the prime factors of h.
2
Let f(u) = 9*u**2 - 65*u + 23. What are the prime factors of f(17)?
7, 31
Let m(p) = -p**2 - 11*p + 11. Let u(k) = k**2 + 12*k - 12. Let r(x) = -4*m(x) - 3*u(x). Let f be r(-9). List the prime factors of 17 + f/(-1)*2.
3, 5
Suppose 5*w = 14 + 1. Suppose -i = -j, -i + 24 = 4*i + w*j. Suppose 0 = 3*u - 0*r + i*r - 123, r - 131 = -3*u. List the prime factors of u.
3, 5
Let p be 1*-2*1/2. Let t be 4/(-12)*(-1 - p). Suppose t = -4*j + 15 + 17. What are the prime factors of j?
2
Let w(t) = -308*t**3 + 4*t**2 + 4*t + 1. List the prime factors of w(-1).
3, 103
Suppose -4*x + 16 = 4*c, -3*x + 0*x = 2*c - 8. Suppose 3*s + 1 - 10 = 0. Suppose -s*l - l + 92 = x. What are the prime factors of l?
23
What are the prime factors of ((-3)/2)/((-84715)/(-10590) + -8)?
3, 353
Let i = -24 - -32. List the prime factors of (180/48)/(1/i).
2, 3, 5
Let l = 41 + -36. Suppose -8*i + l*i + 27 = 0. List the prime factors of i.
3
Let n = 258 + -63. Suppose -4*v = -20, 2*d - n = v - 0. List the prime factors of d.
2, 5
Let p be ((-5)/(-3))/((-15)/(-18)). Suppose -3*z = p*d - 0*d - 25, -d + z = -15. List the prime factors of 1692/42 - 4/d.
2, 5
Let z(u) = 7*u**2 - 21*u + 76. What are the prime factors of z(11)?
2, 173
Let c = -3 + 9. Let i be (3 - 6)*c*1. Let g = i + 34. What are the prime factors of g?
2
Let c(l) = 25*l**3 - l**2 + 3*l - 1. List the prime factors of c(2).
3, 67
Let a(c) = c**2 + 7*c - 15. Let b = 11 + -5. List the prime factors of a(b).
3, 7
Let p(k) = k**2 - 2*k + 2. Let y be p(-5). Suppose -3*n + 2*n = -y. Let m = n - 6. List the prime factors of m.
31
Let r be 9*(-2)/(-21)*(-4641)/(-13). Let x = r - 172. What are the prime factors of x?
2, 67
Suppose 9*n - 6108 - 4728 = 0. List the prime factors of n.
2, 7, 43
List the prime factors of 10/(-6)*627498/(-355).
2, 3, 491
Let m(c) = 6*c**2 - 8*c + 71. List the prime factors of m(20).
2311
Let v = 42 + -44. What are the prime factors of v/7*1 - 7580/(-70)?
2, 3
Suppose 13540 = -7*c + 2*c. What are the prime factors of c/(-24) - (-2)/12?
113
Suppose -1530 = -29*r + 23*r. List the prime factors of r.
3, 5, 17
Let u(n) = 7*n + 35. Let y(b) = -3*b - 17. Let k(v) = -4*u(v) - 9*y(v). List the prime factors of k(-10).
23
Suppose -3372 = 14*w - 86378. List the prime factors of w.
7, 11
Let r(i) = i**3 + 7*i**2 + 3*i - 2. Let a(m) = -m - 3. Let s be a(0). List the prime factors of r(s).
5
Let f(n) = 88*n**2 + 5*n + 5. What are the prime factors of f(-3)?
2, 17, 23
List the prime factors of (-14)/(-35) - (-3976)/35.
2, 3, 19
Suppose 0 = 44*t - 46*t + 1184. What are the prime factors of t?
2, 37
Let i(j) = -8*j - 63. What are the prime factors of i(-27)?
3, 17
Let s(u) = -u**2 + 5*u + 14. Let q be s(6). List the prime factors of (2 + 60/q)*2 - -2.
3, 7
Suppose -a - 2*u = 2, -2*u - 2*u - 10 = 5*a. Let t be (-86 - -1)/(2/a). Suppose -4*x = -9*x + t. List the prime factors of x.
17
Suppose 2*n + n + 13 = -4*p, 3*p - 15 = 0. Let a(b) = -b - 10. Let c be a(n). Suppose c = -w + 7. List the prime factors of w.
2, 3
Let y = -227 - -667. List the prime factors of y.
2, 5, 11
Let o(j) be the third derivative of j**5/15 - j**4/24 - j**3/6 + 522*j**2. Suppose -9 + 3 = -3*w. What are the prime factors of o(w)?
13
Let v(r) = r**2 - 10*r - 15. Let d = 11 + 1. What are the prime factors of v(d)?
3
Let h be 14/(-70) - 1/5*-1. Suppose h = -l + 4*l - 63. List the prime factors of l.
3, 7
Suppose 0 = -b - 0*q - 4*q + 357, 4*q + 1881 = 5*b. List the prime factors of b.
373
List the prime factors of 1191*((-130)/15)/(-13).
2, 397
Let d(a) = -a**2 + 17*a + 4. Let q be d(17). Suppose -q*h = -20, -2*j + 75 = -2*h - h. Let l = -36 + j. List the prime factors of l.
3
Let l(i) = -i + 20. Let u be (12/(-10))/((-8)/20). Suppose 0*b - 3*c = u*b + 45, 0 = 2*b + c + 29. What are the prime factors of l(b)?
2, 17
Suppose 3*p - 2*p = -2*i + 142, 2*i - 142 = 5*p. Suppose -5*l + i = -124. What are the prime factors of l?
3, 13
What are the prime factors of 2 + 1 + 40 + 865?
2, 227
Let z(q) = 12*q**3 - q**2 - 7*q + 14. Let a = 121 - 119. List the prime factors of z(a).
2, 23
Let r(l) = -4*l - 4. Let b be r(-2). Suppose b*j - 2*x - 406 = 0, 5*j - 5*x - 409 = j. What are the prime factors of j?
101
Suppose 7*b - 6*b - 7 = 0. Suppose -68 = -b*u + 3*u. What are the prime factors of u?
17
Suppose -3*n - 101 = -4*d, 6*d - 3*n - 127 = d. Let f = -23 + d. Suppose f*q + 10*x - 225 = 5*x, 9 = 3*x. What are the prime factors of q?
2, 5, 7
Let l be (-2)/8 - (-70)/(-8). What are the prime factors of l/6*(-163 + 2 + 3)?
3, 79
Let u be 2420/16 + (-9)/(-12). Suppose -u = 3*z - 5*z. What are the prime factors of z?
2, 19
Let p be 61 + (2 - (4 + -7 + 2)). Let h be (-30)/(-9) - 2/6. Suppose -p = b - h*b. List the prime factors of b.
2
List the prime factors of ((-12)/(-60) - (-727)/15)*12.
2, 73
Let m be ((-3)/2)/((-6)/4). Let t be (0 - m - -17) + 3. Let v = 41 - t. List the prime factors of v.
2, 11
Suppose -i = -97 + 8. Suppose -w + 135 = 5*v - i, -4 = -w. Suppose -131 = -3*f - 0*t + 2*t, v = f - t. What are the prime factors of f?
43
Suppose 2*h + 0*h = 0. Suppose h = -5*a + a + 236. List the prime factors of a.
59
Suppose -3*d = -4*d - 53. Let s = -20 - d. What are the prime factors of s?
3, 11
Suppose p = 5*o + 1739 + 742, p + o = 2469. What are the prime factors of p?
7, 353
Let x = 1225 + -1756. Let c = -276 - x. List the prime factors of c.
3, 5, 17
Let s(z) = -5*z + 17. Let v be s(-24). Let r = 7 + v. List the prime factors of r.
2, 3
Let w(x) = 7*x - 13. Let t be w(-10). Let h = -40 - t. List the prime factors of h.
43
Let d = 101 - -115. What are the prime factors of d?
2, 3
Let h(g) = g + 5. Let o be h(4). Let m(f) = 5*f - 5*f - o + 4*f**2 - 6*f - 3*f**2. List the prime factors of m(8).
7
List the prime factors of (1881 - -3)/(9/6).
2, 157
Let z = 477 - -734. List the prime factors of z.
7, 173
Let s = 944 + -836. List the prime factors of s.
2, 3
Let v(x) = x + 5. Let w be v(-4). Let u(m) be the second derivative of 19*m**3/6 - m**2 - 18*m. What are the prime factors of u(w)?
17
Let g = 70 - 13. Suppose j + 0 = g. What are the prime factors of j?
3, 19
Let q(f) = 17*f + 16. What are the prime factors of q(35)?
13, 47
Let q(j) = -3*j - 8. Let a be q(-5). Suppose -110 = 2*u - a*u + 5*w, -u + 2*w + 21 = 0. What are the prime factors of u?
23
What are the prime factors of 80/120*2502/4?
3, 139
Suppose 3*g + 344 = 5*g. Suppose 52 = -2*x + g. What are the prime factors of x?
2, 3, 5
Let t = 103 + -26. List the prime factors of t.
7, 11
Let t be (-6)/(-4)*12/9. Let j be ((-55)/(-3))/(5/15). Suppose -l = t - j. List th
|
{
"pile_set_name": "DM Mathematics"
}
|
2*r
Let r(d) = -4*d**2 - d - 6. Let q(u) = -u - 1. Calculate 3*q(w) - r(w).
4*w**2 - 2*w + 3
Let w(o) = -3*o + 5. Let n(z) be the second derivative of -1/6*z**3 + 0 + 6*z + 1/2*z**2. Determine 4*n(p) - w(p).
-p - 1
Let x(m) = -m - 6. Let d be x(0). Let b(g) = -4*g + 5. Let c(w) = -3*w + 4. Give d*c(q) + 5*b(q).
-2*q + 1
Let a(u) = -2*u**3 + 5. Suppose -16 = -0*y - y. Let z(g) = 10*g**3 - 26. Let x = 293 + -290. Calculate x*z(i) + y*a(i).
-2*i**3 + 2
Let s(f) = -3*f - 3. Let j(h) = h + 2. Determine 7*j(m) + 3*s(m).
-2*m + 5
Let c(s) = -2*s**3 - 5*s**2 + 4*s - 2. Let w(y) = -y**3 - 4*y**2 + 3*y - 2. Determine 3*c(l) - 4*w(l).
-2*l**3 + l**2 + 2
Let o(h) = -7*h**2 + 4*h - 2. Let j(l) = -15*l**2 + 9*l - 6. Give -3*j(m) + 7*o(m).
-4*m**2 + m + 4
Let v(a) = -6*a**2 + 0 + 11 - 4 - 8*a**3. Suppose 4*n = 3*n + 6. Let l(w) = 7*w**3 + 5*w**2 - 6. What is n*v(z) + 7*l(z)?
z**3 - z**2
Let i be 22 + 4/(-14) + (-104)/28. Let r(y) = 5*y + 13. Let p(x) = -1 + 4 + 2 - 2 + x. What is i*p(u) - 4*r(u)?
-2*u + 2
Let p(r) = 5*r**2 + 6*r - 6. Let k(q) = -11*q**2 - 13*q + 13. Let g = -10 + 42. Let d be 2/3 - g/(-6). What is d*k(l) + 13*p(l)?
-l**2
Let f(j) = 7*j. Let t(o) = -27*o. What is -15*f(m) - 4*t(m)?
3*m
Let u(q) be the second derivative of q**3/3 - 3*q**2 - 6*q. Let o(m) = m - 5. What is -4*o(i) + 3*u(i)?
2*i + 2
Let t(x) = -2*x - 2. Let i(f) = -4*f + 4 + 7*f + f. Give 6*i(k) + 13*t(k).
-2*k - 2
Suppose -5*r + 4*y + 17 = -0*y, 5*r - 21 = 2*y. Let n(b) = -3*b - 1. Let s(w) = -6*w - 3. Determine r*n(o) - 2*s(o).
-3*o + 1
Let n be (-1 + 0)/(-2 + 1). Let s(y) be the second derivative of -y**3/3 - 3*y**2/2 + 50*y. Let w(k) = k**2 + k + 1. What is n*s(v) + 2*w(v)?
2*v**2 - 1
Let h(l) = 3*l**3 + 5*l + 6. Let p = -11 + 14. Suppose 0*w = -3*s + p*w - 15, 3*s + 17 = w. Let k(o) = -4*o**3 - 6*o - 7. Calculate s*k(f) - 7*h(f).
3*f**3 + f
Let i(t) = -21*t**2 - 13*t - 11. Let w(r) = -10*r**2 - 6*r - 5. Calculate -6*i(n) + 13*w(n).
-4*n**2 + 1
Let h(f) = -3*f**3 + 2. Let b(a) = -5*a**3 + 3. Let r = 12 + -8. What is r*b(w) - 7*h(w)?
w**3 - 2
Let g(s) = 13*s**3 - 8*s + 4. Let v = -130 - -128. Let j(c) = -3*c**3 + 2*c - 1. Calculate v*g(h) - 9*j(h).
h**3 - 2*h + 1
Let f be 5 + -2 - 0/((-2)/(-1)). Let s(v) = 5*v**3 + 2*v**2 - 3*v - 3. Let k(i) = -11*i**3 - 4*i**2 + 7*i + 7. Suppose -y - 7 = -2*y. Calculate f*k(m) + y*s(m).
2*m**3 + 2*m**2
Let y(s) = 10*s**3 + 7*s**2 + 7*s. Let v(d) = -3*d**3 - 2*d**2 - 2*d. Let k be 390/50 + 4/(-5). What is k*v(o) + 2*y(o)?
-o**3
Let t(r) = 2*r - 11. Suppose -2*i - 2 = -16. Suppose 2*q + 696 = -q. Let g be q/56 + 1/7. Let d(u) = u - 6. What is g*t(c) + i*d(c)?
-c + 2
Let l(u) = 7*u - 6. Let n(k) = 12*k - 1. Let r(j) = -8*j + 1. Let z(m) = 5*n(m) + 8*r(m). What is 3*l(i) + 5*z(i)?
i - 3
Let t(l) = -l**3 + 4*l**2 + 4*l + 3. Let k be 8/1 + (-2 - -2). Suppose 0 = -5*w + k*w - 15. Let f(d) = -w - d - 4*d**2 + 4 + 3*d**2. Calculate -4*f(q) - t(q).
q**3 + 1
Let l(m) = -14*m**3 - 4*m**2 - 4*m - 3. Let s(x) = -69*x**3 - 21*x**2 - 21*x - 16. Give 11*l(g) - 2*s(g).
-16*g**3 - 2*g**2 - 2*g - 1
Let z(i) = -12*i - 10. Let n(h) be the second derivative of -h**3/6 - h**2/2 + 41*h. Give 22*n(k) - 2*z(k).
2*k - 2
Let h(n) = -5*n**2 - 5*n - 7. Suppose 5 + 39 = -4*f. Let j(z) = -9*z**2 - 9*z - 13. Give f*h(l) + 6*j(l).
l**2 + l - 1
Let d(g) = -2*g**3 - 3*g - 2. Let s = -1 + 2. Let h(i) = -i**3 - i. What is s*d(x) - 3*h(x)?
x**3 - 2
Suppose -22 = -2*m + 2. Let o = 7 - m. Let p(k) = 6*k**2 + 4*k - 6. Let w(r) = -7*r**2 - 5*r + 7. What is o*w(v) - 6*p(v)?
-v**2 + v + 1
Let x(a) = -6*a + 3. Let f(w) = 1. Calculate 6*f(n) - 2*x(n).
12*n
Let u(n) = n**3 - 5*n**2 - 2*n. Suppose 10 = -2*t + 4*x, -5*x - 5 = -2*t - 4*x. Let g(p) = p**3 - 4*p**2 - 2*p. What is t*u(r) - 6*g(r)?
-r**3 - r**2 + 2*r
Let r(u) = -u**2 - u. Let x(m) = -m**3 - 5*m**2 - 5*m + 2. Let g(c) = -c. Let w be g(5). Determine w*r(n) + x(n).
-n**3 + 2
Let n(p) be the second derivative of p**3/3 + 21*p. Let j(g) = -g. Suppose 0 = -t + 3*t + 4*d - 12, -3*t + 16 = 5*d. Calculate t*n(x) + 5*j(x).
-x
Let c(n) = -217*n**2 - 49*n + 49. Let u(y) = 9*y**2 + 2*y - 2. Give 2*c(z) + 49*u(z).
7*z**2
Let z(g) = -3*g + 13. Let m be z(6). Let i(k) = 4*k**3 + 8*k**2 + 8. Let a(t) = 3*t**3 + 5*t**2 + 5. What is m*i(n) + 8*a(n)?
4*n**3
Let p(k) = k**2 - 3*k - 2. Let q(s) = -6 + 1 + 10*s**2 - 6*s - 8*s**2. What is 5*p(i) - 2*q(i)?
i**2 - 3*i
Let p(z) = 2*z**2 - z. Let y(g) be the first derivative of g**4/4 - 5*g**3/3 + g**2 + 10. Calculate -5*p(a) - 2*y(a).
-2*a**3 + a
Let v(p) = 2*p**2 - p**2 - 1 + 4*p**3 + 0*p**2 - 3*p**3. Let i(u) = 3*u**3 + 2*u**2 + 3*u - 2. What is i(f) - 2*v(f)?
f**3 + 3*f
Let x(n) = -1. Let a(p) = 2*p + 6. Let r(m) = -6*m - 10. Let c(w) = 5*w + 9. Let f(u) = 7*c(u) + 6*r(u). Let t be f(2). What is t*a(i) + 4*x(i)?
2*i + 2
Let f(n) = 29*n**3 - 6*n**2 - 5*n. Let o(d) = 28*d**3 - 7*d**2 - 6*d. What is -6*f(u) + 5*o(u)?
-34*u**3 + u**2
Suppose 21 + 4 = 25*a. Let o(s) = 0*s**2 + 1 + s**2 - 2. Let m(v) = 9*v**2 - 2*v - 6. What is a*m(n) - 6*o(n)?
3*n**2 - 2*n
Let z(q) be the first derivative of -q**4/2 - q**2 + 3*q - 9. Let u(l) = 2*l**3 + 3*l - 4. Calculate 4*u(b) + 5*z(b).
-2*b**3 + 2*b - 1
Let s(q) = -2*q + 31. Let d(t) = 1. Give 4*d(b) - s(b).
2*b - 27
Let y(h) = -9*h**3 + 6*h**2 + 2*h - 9. Let f(j) = j**3 - j**2 + 1. Determine -6*f(p) - y(p).
3*p**3 - 2*p + 3
Let d(y) = -8*y**3 - 3*y**2 + 5*y - 1. Let l(c) = 4*c**3 + 2*c**2 - 3*c + 1. Calculate 3*d(t) + 5*l(t).
-4*t**3 + t**2 + 2
Let y(t) = -14*t + 11. Let n(w) be the third derivative of 5*w**4/24 - 2*w**3/3 - 3*w**2. What is 11*n(u) + 4*y(u)?
-u
Let t(v) = 13*v**3 - 2*v**2 - 11*v + 2. Let y(z) = -7*z**3 + z**2 + 6*z - 1. Suppose 0 = -4*h - h - 55. What is h*y(r) - 6*t(r)?
-r**3 + r**2 - 1
Let r be 6/(-27) + 29/9. Let h(m) = m - 3 + 5*m**3 + m**3 - 8*m**3. Let a(q) = -2*q**3 + q - 2. Determine r*a(p) - 2*h(p).
-2*p**3 + p
Let d(j) = -2*j - 2*j + 4 + 2*j. Let x(n) = n - 3. Let b(s) = 3*d(s) + 4*x(s). Suppose v = -3*v, 3*z = -v - 9. Let p(i) = -5*i. Calculate z*p(l) + 7*b(l).
l
Let y(j) = -5*j + 2. Let x(a) be the second derivative of 3*a**3/2 - 5*a**2/2 - a. Let s(i) = -2*x(i) - 5*y(i). Let c(w) = 3*w. What is 5*c(u) - 2*s(u)?
u
Let h(b) = b**2 - 1. Let s(x) = -84*x**2 - 2. Give 2*h(o) - s(o).
86*o**2
Let l(y) = y**3 + 2*y**2 + 2. Let c(r) = r**3 - r**2 - 1. Give c(w) + l(w).
2*w**3 + w**2 + 1
Let q(m) = 1 - 5 + 0 - 2 + 2*m. Let y be q(4). Suppose d = 3*k + 6, y*k = d + k + 2. Let j(g) = g + 6. Let s(p) = 2*p + 13. Calculate d*s(x) + 13*j(x).
x
Suppose -3*b + 5*h = -12, 4*b + 3*h - 32 = 13. Let i(k) = 3 - k - 4 - 2*k. Let c(q) = -13*q - 4. What is b*i(l) - 2*c(l)?
-l - 1
Let c(i) = 5*i**3 + 2*i - 6. Let w(o) = -161 - 6*o - 14*o**3 + 70 + 54 + 54. What is -17*c(a) - 6*w(a)?
-a**3 + 2*a
Let t(m) = -7*m**2 + 9. Let x(o) = 8*o**2 - o - 10. Give 7*t(s) + 6*x(s).
-s**2 - 6*s + 3
Let t(o) = -6*o - 3. Let q(y) = y + 1. What is -3*q(c) - t(c)?
3*c
Suppose -1 - 9 = 5*s, 3*k - 4 = -4*s. Let c(n) = 6*n**2. Let b(d) = -d**2. Calculate k*c(m) + 30*b(m).
-6*m**2
Let s(c) = 2*c + 1. Let n(x) = x**2 + 3*x + 1. Give -2*n(v) + 3*s(v).
-2*v**2 + 1
Suppose -4 = 2*k + 2*k. Let q be (6/(-10))/(k/(-5)). Let t(j) = -5*j**3 + 2*j - 4. Let h(g) = 9*g**3 - 4*g + 7. Give q*h(v) - 5*t(v).
-2*v**3 + 2*v - 1
Let b(k) = 13*k**3 - 3*k - 4. Let y(v) = -40*v**3 + 8*v + 11. Give 11*b(c) + 4*y(c).
-17*c**3 - c
Let g(q) = 2. Let a(v) = -v. Give -2*a(m) + g(m).
2*m + 2
Let r(u) = -u**2 - u - 1. Let i(o) = -o**3 - 6*o**2 - 6*o - 7. Let d be (-45)/(-6) - (-9)/(-6). Calculate d*r(q) - i(q).
q**3 + 1
Let n be -4 - (-3 + 8 + -7). Let d(q) = -3*q - 6. Let g(w) = w + 2. Let l(u) = -4*d(u) - 14*g(u). Let s(f) = -f - 1. Determine n*l(h) + 6*s(h).
-2*h + 2
Let z(y) = -7*y + 6. Let g(r) be the first derivative of -4*r**2 + 7*r - 1. Give 5*g(u) - 6*z(u).
2*u - 1
Let p = -2 - -5. Suppose p*x - 12 = f, -16 + 4 = -4*f. Let m(l) = -4*l + 2. Let z(n) = -12*n + 4. Let w(y) = y. Let k(b) = 5*w(b) + z(b). Give x*m(r) - 3*k(r).
r - 2
Let a(q) = -q**3 + 6*q**2 + 6*q + 6. Let d be a(7). Let w(v) = -v. Let y(c) = 4*c + 1. Calculate d*y(x) - 3*w(x).
-x - 1
Let q(x) = -12*x + 14. Let i(d) = -d + 1. Give -42*i(j) + 3*q(j).
6*j
Let k(f) be the first derivative of -5*f + 1/3*f**3 + 2 + 5/2*f**2. Let c(z) = 2*z**2 + 9*z -
|
{
"pile_set_name": "DM Mathematics"
}
|
g. Find the common denominator of -89/4 and d.
28
Let p be (8/14)/(22/(-77)). Calculate the lowest common multiple of p/6 - (-74)/6 and 6.
12
What is the lowest common multiple of -4 + (-63)/(-18)*24 and 88?
880
Let k(d) = d**2 - 3*d - 2. Let w be k(4). Let g(b) = 5*b + 4. Let j be g(w). Suppose -v + 2*v = j. What is the lowest common multiple of 22 and v?
154
Let r(h) = -76*h - 675. What is the least common multiple of (9/12)/((-2)/(-48)) and r(-9)?
18
Let s(i) = 3*i - 4. Let w(x) = -2*x**2 + 9*x + 8. Let q be w(6). Let m = q + 23. What is the lowest common multiple of s(4) and m?
104
Suppose 3*k = 3*z + 15, 3*k - 8 = 4*z + 8. Calculate the common denominator of (-30)/140*(-98)/36 and (5/(-4))/(22/k).
132
Let n be (-15)/(-5) + 2096/(-510). Let z be (3 - (-956)/(-170)) + 3. Let j = z + n. Calculate the common denominator of 55/4 and j.
60
Let n be -2 - ((-338726)/(-360))/1. Let j = -8456/9 - n. Let x = 2555/4 - 650. Calculate the common denominator of j and x.
20
Let o(g) = 2*g - 4. Suppose 2*j = -5*h + 1, 3*j - 2*h - 13 = 2*h. Let c be o(j). Suppose w = c*w - 14. Calculate the least common multiple of 2 and w.
14
Let j = 33 - 8. Suppose -5*w = z + j, 5*z - 3*z = w + 5. Let v = w - -9. Calculate the lowest common multiple of v and 16.
16
Let n(w) = -w**2 - 9*w - 14. Let b(i) = i**2 + 8*i + 13. Let l(f) = 6*b(f) + 5*n(f). What is the least common multiple of 37 and l(0)?
296
Let c(x) = -x**2 - 18*x - 32. Calculate the least common multiple of 18 and c(-7).
90
Let j = 15 - 9. Suppose -2*z - 4*m = z + 84, -4*z - m - 99 = 0. What is the least common multiple of (-18)/z + 1/4 and j?
6
Let s = 20053/2 + -32185061/3210. Let d = s - 10601/6420. Find the common denominator of (43/(-18))/((-1)/3) and d.
60
Let r = -67/95 - -2/19. Calculate the common denominator of r and 59/55.
55
Suppose -5*b + 0*b = 30. What is the common denominator of -79/2 and (-21 - -25) + b/(-4)*-1?
2
Let i(a) = -4*a. Suppose -4*q - 39 - 29 = -3*y, -2*y = 4*q + 48. What is the smallest common multiple of (-204)/(-21) + (-4)/q and i(-2)?
40
Suppose -30*w - 10 = -35*w. Calculate the lowest common multiple of w and 143.
286
Let p = -13/131 + 3104/917. Let t be 248/20 - 4/10. Calculate the common denominator of p and 3/t + (-119)/(-20).
35
Suppose 3*z = -3*u - 108, -4*u - 90 = -2*z + 30. Let v = 26 + u. Find the common denominator of v and (1 - 1) + (-28)/(-9).
9
Suppose 5*t - 2*k - 20 = 0, -k = 2*k - 15. Calculate the lowest common multiple of 6 and t.
6
Let v = -483 - -563. What is the lowest common multiple of 24 and v?
240
Let l(t) = t**3 - 7*t**2 - 8*t - 1. Let d be l(8). Calculate the common denominator of (847/84 - d) + (0 - 1) and -121/12.
12
Let m = -1 - -4. Let u = 20 - 13. Suppose -u*i + 5*i = -4. What is the lowest common multiple of m and i?
6
Let s = 92 + -65. What is the common denominator of ((-124)/(-15) - -1)*s/54 and -5/2?
30
Let z = 369041 - 79712707/216. Find the common denominator of -23/24 and z.
216
What is the lowest common multiple of 376 and 12/((-6)/16 - (-165)/88)?
376
Suppose -a = 135 - 141. What is the least common multiple of a and 78?
78
Let p be 12/78 - (-4)/(-26). Suppose p*j + 519 = 3*j. Calculate the lowest common multiple of j and 5.
865
Let y = -4 - -14. Suppose 150 + 146 = 31*d + 43*d. Calculate the least common multiple of d and y.
20
Let j(l) = 9*l + 6*l - 5*l. Let p(n) = -n - 5. Let d be p(-6). What is the lowest common multiple of j(d) and 22?
110
Let m = 87 + -10. Find the common denominator of 3/(-18)*837/12 and (-35)/56*m/10.
16
Suppose 5*v - 236 = -16. Calculate the lowest common multiple of v and 4/(7/21*(-3)/(-3)).
132
Suppose 0 = -d + 149 + 45. Let a = d + -325. Calculate the common denominator of -99/16 and a/(-12) + (0 - 0).
48
Let u = 667536 - 34710147/52. Let y = u + -584/13. What is the common denominator of 1 - 1 - 43/11 and y?
44
Suppose -10*n + 12*n + 2 = 0. What is the common denominator of 1425/(-504) + n + (-4)/(-14) and 61/16?
48
Suppose -19 = -3*z + w, -z + 45 = 4*z + 5*w. Calculate the common denominator of 9/11 and 10/z - 60/(-15).
77
Let b(c) = 6*c - 47. Suppose 30 + 26 = 7*u. Calculate the smallest common multiple of 6 and b(u).
6
Let c be ((-1472)/21)/(51/(-6)). Let i = 2/51 + c. Let o = 469 - 447. Find the common denominator of i and o.
7
Suppose 3*m - 3*h = -6, 6*m - 2*m = 2*h. Suppose -2*w + 6 = m. Suppose -s - 48 = -5*s. What is the smallest common multiple of s and w?
12
Let t(p) = -p**3 + 3*p**2 - 1. Let h be (-2)/(-4) - (-18)/12. Let z = 56 + -55. What is the lowest common multiple of t(h) and z?
3
Let l = 329 + -2264/7. Find the common denominator of l and (3/20)/(2/(-95)).
56
Suppose -5*n - 592 = -1522. What is the common denominator of 3/(n/(-45) - -4) and 99/10?
10
What is the common denominator of -7*((-8)/30)/(-4) and 7/645?
645
Suppose 12*n - 18 = 9*n. Find the common denominator of (2 + 21)*n/(-4 - -148) and 3/20.
120
Let n = 12 - 3. Let v be (n/(-2)*6)/(-1). Suppose 2*x + x = v. What is the smallest common multiple of x and 3?
9
What is the lowest common multiple of -2 + 1/(-2 + 74/36) and 14?
112
Suppose 0 = -3*o + l + 143, -2*o - 3*l = -133 + 23. What is the common denominator of 131/60 and o?
60
Let h be (-4)/48*-9*(3 - -1). Suppose -s + 108 = h*s. What is the lowest common multiple of 15 and s?
135
Let l = 12 - 6. Suppose 0 = k + 3*k + n, 2*k = -n - 2. Let j = k + 17. What is the lowest common multiple of j and l?
18
Suppose -4 = -2*g - 4*a, -2*g - 2*a + 10 = g. What is the common denominator of (-17)/(16/g + -1) and 88/15?
15
Let t = 17 - 15. Suppose -14 + t = -3*p. Suppose 4*u - 36 = -2*c, 0*c - 5*c + u = -79. Calculate the lowest common multiple of c and p.
16
What is the common denominator of 53/20 and 5/27*(1044/96 - 6)?
360
Find the common denominator of ((-96)/(-34))/2*(-18)/8 and 32/5.
85
Suppose 0 = 33*j - 31*j - 64. Calculate the lowest common multiple of 232 and j.
928
Let c = -148/3 - -1757/33. Let n be (-30 - (-8 + 4)) + 4. Calculate the common denominator of c and (-1)/(n/21)*(-8)/(-6).
11
Let j(v) = -v + 2. Let l be j(-2). Let g = l + -2. What is the smallest common multiple of 7 and g?
14
Let l = 27 - 16. Let p = l + -11. Suppose -4*r - 3 + 27 = p. What is the least common multiple of 4 and r?
12
Suppose -145*t + 7788 = -86*t. What is the smallest common multiple of 144 and t?
1584
Suppose -5*l + 37 = y, -y - 2*l + 31 = -3*l. Find the common denominator of (0 + -2)/(y/99) and -5/14.
112
Let d(r) = r**2 + 24*r + 26. Let v be d(-23). Suppose z + 2*z = v. Calculate the least common multiple of z and 9.
9
Let u = -9856304/625209 + 4/36777. Let k = -2544444549/272 + 9354596. Let v = u + k. What is the common denominator of v and -65/2?
16
Calculate the common denominator of 69/44 and (-6783)/34*(-1)/(-36).
264
Let q(k) = k**3 + 4*k**2 - k. Calculate the common denominator of ((-10)/(-70))/((-2)/110) and q(-4).
7
Suppose 72 = 4*l - 0*l. Calculate the smallest common multiple of l and 6 - (-1)/2*0.
18
Suppose 5*f - 3*g - 550 = 0, -2*f + 7*f - 540 = 5*g. Let i = f - 427/4. Calculate the common denominator of i and -3 + (-49)/(-10) + 0.
20
Calculate the common denominator of 77/162 and ((-30)/180)/((-18)/(-105)).
324
Let j be (1 - (-3 + 1))/1. Suppose j = 4*y - 5. Suppose -92 = -y*b + 2*z, b + z - 40 = -z. Calculate the common denominator of b and 45.
1
Let r(m) = m**2 - 6*m - 19. Let j = 121 - 46. Suppose j = 5*y + 15. What is the least common multiple of y and r(9)?
24
Suppose 13035 = -10*c + 13095. Calculate the smallest common multiple of 202 and c.
606
Suppose 4*y + 16 = -0*y. Calculate the common denominator of 8*(675/(-170) - y) and -27/5.
85
Let v(s) = s**2 - 8*s - 24. Calculate the lowest common multiple of 27 and v(-6).
540
Let t = -54 - -21. Let c = -6069/2245 + 3/898. Calculate the common denominator of c and 4/((-36)/t)*3/(-18).
90
Suppose -5*p + 10*p = 7800. Calculate the common denominator of 1/(-4) - (-2)/(-2) and (p/(-450))/(4/6).
20
Let v be -5*(36/(-15) - -2). Let q(k) = -12*k**3 - 5*k - 2*k**2 + v*k - 2 + 13*k**3. What is the smallest common multiple of 10 and q(4)?
90
Suppose -47 = -5*w - 7*j + 3*j, -4*j - 52 = -4*w. Let m = -5 - -25. Suppose m = 3*y - 13. What is the smallest common multiple of w and y?
11
Let v(b) = -b**3 + 2*b**2 + 105*b + 15. What is the leas
|
{
"pile_set_name": "DM Mathematics"
}
|
an n?
False
Let v(o) = 5*o**3 - o**2 - o - 1. Let p be v(-1). Let i = p + 10. Let z = -480 + 486. Which is greater: i or z?
z
Let r = -2195.041 - -2205. Let s = 0.041 + r. Which is smaller: s or 0.5?
0.5
Let p = -17 - -17. Let q be -1 - -2 - (p - 2). Let d be (-2 + 36/20)/q. Which is smaller: d or 0?
d
Let t = 49023/149 + -329. Which is bigger: t or 0.1?
0.1
Let a = 0.2 - 0.3. Let b be -1 - -1 - (8 - 36). Suppose -2*g - b = 2*r, 0*r - 26 = r + 4*g. Does a = r?
False
Let q = 76 - 86. Which is greater: q or -24?
q
Suppose -14*w - 1332 = -5*w. Is w smaller than -146?
True
Let r(i) = 3*i**2 + 18*i - 17. Let j(z) = z**2 + 6*z - 6. Let n(q) = 17*j(q) - 6*r(q). Let t be n(-5). Let l = 1 - -5. Which is greater: t or l?
l
Let l = 11279/108772 - 25/284. Is 1 at most l?
False
Let w(f) = f**2 - 1. Let y(q) = -3*q**2 + 11*q + 9. Let d(a) = -w(a) - y(a). Let t be d(6). Which is smaller: t or -1?
t
Suppose f + 4*f = 15. Let q(s) = -s**3 - s**2 - 2*s + 2. Let b be (2/(-3))/((-2)/3). Let n be q(b). Do f and n have the same value?
False
Let o = -552 - -548. Let h(z) = -3*z - 5. Let k be h(-5). Suppose -4*f - 2 = 2*s, -3*f = 4*s - f + k. Are o and s non-equal?
True
Let m(y) = -y**3 - 41*y**2 - 2*y + 15. Let u be m(-41). Which is smaller: 96 or u?
96
Let p be (-12)/24*30/(-1). Let o be 26/(-7) - (11 - p). Is -4 < o?
True
Let s = 13 - 11. Suppose 21 = -x + 3*w, s*w + 12 = 6*w. Let f = -13 - x. Which is smaller: f or 1/5?
f
Suppose -5*f + 40 = -100. Let b = -30 + f. Are 2 and b equal?
False
Let m = -84 - -124. Let v be ((-45)/20)/((-3)/m). Is v less than or equal to 31?
True
Suppose 49*f + 7169 + 4248 = 0. Which is bigger: f or -232?
-232
Let k(b) = -9*b. Let x be k(-2). Let g = 18 - x. Let a be g + 1 + (-5)/7. Is a greater than -13?
True
Suppose 0 = l + 4*l + i + 265, -4*i = 2*l + 88. Suppose -18*m - 969 = -3*v, 0 = m - v + 2*v + 62. Is m > l?
False
Let c be (-99)/(-308) + 1/4. Is c not equal to 0.4?
True
Let m = -44 - -69. Let y(l) = 2*l**2 - 16*l + 7. Let p be y(9). Is p at most as big as m?
True
Let a = 19.8 - 29. Let m = -1.8 + a. Are m and 0 non-equal?
True
Let x = 0 - 0. Suppose b + x = 2. Suppose -5*v + b = j - 2, 5*v = 5. Which is smaller: j or 2/35?
j
Suppose -4*t = -2*t - 8, 0 = 5*o + 5*t - 120. Suppose q + 3*q = o. Suppose q*m = -0*m. Which is smaller: m or 2/19?
m
Let g = 48 + -40. Let m be g - (-4 - (5 + -6)). Which is greater: -3 or m?
m
Let f be 2/(-13) + 221760/(-468). Is -1421/3 at least as big as f?
True
Let r = -281 + 282. Are -51 and r unequal?
True
Let u = -3672 - -25702/7. Let n = -21.04 - -0.04. Is u at least as big as n?
True
Suppose 21*r - 5*w = 22*r, 5*r = 2*w. Is -42/43 greater than or equal to r?
False
Let v = 120.1 + -130.1. Is v bigger than 0.069?
False
Suppose 3*o - 7 = -2*a, 3*a - a = 4*o + 14. Suppose -6*q - 5*m = -2*q - 29, -4*q = 4*m - 28. Let t be 7/9 - (-5 + q). Is t > o?
True
Suppose 5*m - 222 = 178. Suppose 3*k = 7*k + m. Let w = k - -23. Which is bigger: 4 or w?
4
Let g be ((-3)/(-27))/((-3)/6). Let f = 46 - 27. Let l = -19 + f. Is l smaller than g?
False
Let p be 12/15 + 1708/(-10). Which is smaller: -169 or p?
p
Suppose 116 - 131 = -15*s. Which is smaller: s or 8/155?
8/155
Let s(x) = -2*x - 1. Let b be s(-1). Let i be 4/(-14) - (15/21 + -2). Let r = b + i. Which is greater: r or 4?
4
Suppose 45*p = 35*p + 10. Let z = 12.8 + 58.2. Which is smaller: z or p?
p
Let x be (-4)/32*2 - 334/8. Is x at most as big as -42?
True
Let z be 48/(-336) + 6/(-7). Which is bigger: -1/895 or z?
-1/895
Let x = -0.06 - 0.14. Is x >= 29?
False
Suppose -f - 2*f - 162 = 3*a, -5*f = 3*a + 166. Which is smaller: -564/11 or a?
a
Let p be (-4)/(-3 - -11) + (-250)/4. Let z be 7164/(-189) + 6/p. Do z and -38 have the same value?
True
Let z = -54 + 98. Let b = z + -175/4. Do b and -1/6 have the same value?
False
Let j = 18 - 0. Suppose -j + 3 = -5*f. Suppose f*r + 4 = 7*r. Which is smaller: r or -2?
-2
Let i = 25 - 55. Which is smaller: -2 or i?
i
Let u = 27/5 - 7. Suppose -4*p - g - 135 = 0, 171 = -3*p + 4*g + 65. Let v be p/(-30) + -4 + (-6)/45. Which is smaller: v or u?
v
Suppose 46 = 5*h + 91. Which is bigger: h or -8?
-8
Let k(j) = 2*j - 21. Let s be k(13). Let c = -11 + s. Let g = 8 + -12. Which is bigger: g or c?
g
Let p(t) = 2*t**2 - 9*t + 1. Let q be p(5). Suppose 5 = -o + q*o. Let k(d) = -d**3 + 2*d**2 + 2*d + 4. Let v be k(3). Is v less than o?
False
Let t = 7 + -10.8. Let d = t + 1.8. Which is smaller: -2/37 or d?
d
Let y = 0.4 + -0.3. Let f = -3 + 12. Let q(x) = -x**2 + 9*x + 4. Let u be q(f). Is y less than u?
True
Let f be (38 - 1) + (10 - -4)/(-7). Is f at least as big as 34?
True
Let v = 9393 - 9401. Suppose -r + 0*r - 9 = 0. Let c = 2 + r. Is c less than v?
False
Let v = -4405 - -13360/3. Which is bigger: v or -0.1?
v
Let r = -2.7 - -1.69. Let g = r - -0.71. Are 31 and g nonequal?
True
Let f = -0.26 - 1.74. Which is bigger: f or -19?
f
Let c(q) = 2*q**2 + 2*q - 13. Let a(f) = -f**2 + 3*f - 2. Let w be a(2). Let l be c(w). Which is smaller: l or -3?
l
Let v(b) = -b**3 - 2*b**2 - 2*b - 87. Let f be v(0). Let q = f - -84. Which is smaller: 4 or q?
q
Let o = 16822/17 + -989. Which is smaller: 1 or o?
o
Suppose 4*g - 304 = 5*v, 4*v - 2*g = 2*g - 244. Let f be (-16)/(-10)*v/12. Let n be (-3)/(-6)*f/6. Which is greater: n or 3/5?
3/5
Suppose z - 28 = -3*h + 3*z, 3*z = 2*h - 22. Let m be (-2)/h - (1 - 378/8). Are 46 and m equal?
True
Let q = 740 + -744. Which is smaller: q or -21?
-21
Suppose -21*c = -4*c - 51. Which is smaller: c or -14.4?
-14.4
Let i = 55 + -58. Let v be -13 + (-4 - 0/i). Is v <= -15?
True
Let f = -625/3 + 209. Which is smaller: -1/41 or f?
-1/41
Suppose -u + 6 = 2. Let r be 558/(-72) + ((-3)/u)/3. Which is smaller: r or -2?
r
Suppose -l + 170 = -j, 5*j - 8*j - 4*l - 496 = 0. Are -167 and j equal?
False
Let l = -726 + 726. Is l < -16/29?
False
Suppose 5*z + 411 = 4*c - c, -5*c + 685 = -3*z. Which is bigger: c or 136?
c
Let l = 28 + -28. Is 1.72 greater than l?
True
Suppose 0 = d - 2*j - 1 + 6, 4*j - 13 = d. Suppose 2*z = 3*m - 7, -m + 10 = d*m - 2*z. Suppose m*k = 8 + 4. Which is smaller: 6 or k?
k
Let f = -0.696 - 0.204. Is 0.23 smaller than f?
False
Let g(j) = 2*j - 34. Let h be g(19). Let f be h - (1/(-5) - (-160)/50). Is -4/23 != f?
True
Let n = 6 + -2. Let q(p) = -p**3 + 6*p - 4*p**2 - n*p + 11*p - 1. Let r be q(-6). Which is greater: -4 or r?
-4
Let y = -31 - -32. Let w(i) = 14*i**2 + 1. Let v be w(y). Let x(s) = 15*s**2 - s. Let n be x(1). Do n and v have different values?
True
Let o = -3.34 - 0.66. Is o bigger than -2/3?
False
Suppose -i - 154 = 6*i. Let z be 4/i - ((-31)/(-11) + -3). Which is greater: z or 1/22?
1/22
Let p be ((-22)/396)/(-1 - 21/(-24)). Is p bigger than 17?
False
Let o = 1.438 + 0.562. Which is smaller: o or -1.72?
-1.72
Suppose 4*l - 35 = -67. Let n = 7 + l. Is -1/3 < n?
False
Let h be -15 + 2 + (4/(-1) - -6). Let z(m) = m + 34. Let w be z(h). Do w and 23 have the same value?
True
Let h(n) = -2*n + 43. Let j be h(21). Let c be (-249)/129 + (-3 - -2 - -3). Which is bigger: c or j?
j
Let a(x) = -x**3 - 2*x**2 + 4*x + 3. Let b be a(-3). Suppose 5*w + 2*r - 115 = -b*w, 2*w = 3*r + 27. Let l be w/(-35) - 2/5. Is 2/11 smaller than l?
False
Let p be (-2 - (-15)/6)*-47. Which is bigger: p or -25?
p
Let z = -14 - -10. Let u be (z/5)/(13986/3546). Let i = u - -13/111. Is -1 equal to i?
False
Let j(a) = -3*a**2 - 2*a. Let k be j(-1). Let h be (-26)/39 - k/(-3). Let s = -3 - -2. Is s greater than or equal to h?
True
Suppose -5 = 5*h + 4*m, -2*h - 5*m = -0*h + 19. Suppose 4*b = w - 8, -h*w - 5*b = -2*w + 10. Is w > 6/7?
False
Suppose 84 - 201 = f. Which is smaller: -114 or f?
f
Suppose 37 - 281 = 4*o. Which is bigger: -64 or o?
o
Let t(q) = -q**2 - 7*q + 3. Let r be t(-7). Suppose -r*c = c. Let b = -633/515 + 3/103. Is c less than b?
False
Suppose -5*y - 2 = -o - 14, 5*o + 20 = 5*y. Let v = -448.5 - -472.5. Is v at most as big as y?
False
Suppose -18 = -3*u + 3. Suppose -2*z - 3*m - u = 0, z - 6*z = 4*m + 14. Which is bigger: 0 or z?
0
Let w be (-6)/(-2) + (-12670)/4012. Let j = -18/59 - w. Let d = j + 61/646. Is -1 <= d?
True
Let o = 1 + 0. Let m = -868478/295 + 2944. Let w = -273/3245 - m. Is o bigger than w?
True
Let b(s) = -s**3 + 6*s**2 + 6*s - 6. Let r(n) = -n + 1. Let v(i) = b(i) + 6*r(i). Let a be
|
{
"pile_set_name": "DM Mathematics"
}
|
e the remainder when (2108/(-136))/((42/112)/((-18)/4)) is divided by ((-38)/(-4))/(3/12).
34
Suppose -2*p = -9 - 15. Suppose 19086 - 19374 = -12*d. What is the remainder when d is divided by p?
0
Let s be ((-7)/14)/(5/4370). Let p = s + 529. Calculate the remainder when p is divided by 49.
43
Suppose -21*s + 20592 = 123*s. Calculate the remainder when 2714 is divided by s.
140
Suppose -47856*z + 8736 = -47843*z. Calculate the remainder when z is divided by 332.
8
Suppose 17*x + 518 - 10701 = 0. What is the remainder when x is divided by 11?
5
Suppose -9*p + 6093 = -0*p. Suppose -2*r = -p + 201. Suppose r = 42*k - 40*k. Calculate the remainder when k is divided by 20.
19
Let f(p) = 29*p**3 - 6*p**2 + 4*p + 8. Let i be f(4). Let t = 1802 - i. Suppose -a = -51 + 21. Calculate the remainder when a is divided by t.
12
Let p(s) = s**2 + 5*s + 11. Let i be p(8). Suppose 6*h - h - i = 0. Calculate the remainder when h is divided by (-8 + 10 - 11)/(2/(-2)).
5
Let t be 78/(-52)*((2 - 1) + -119). Suppose -2*l - 2823 - t = -5*k, 2*k - 1221 = 5*l. What is the remainder when k is divided by 100?
98
Suppose 5*k - 5*d + 36 - 451 = 0, 2*k + 3*d - 136 = 0. Suppose 2*n = -0*n + 298. What is the remainder when n is divided by k?
72
Suppose -g + 8 = -22. Let j = -140 + 243. Suppose 6 - 18 = -4*p, -s = -4*p - j. Calculate the remainder when s is divided by g.
25
Let c = 13464 + -13449. Calculate the remainder when 6057 is divided by c.
12
Suppose 206*s = -211*s - 310621 + 2660833. Calculate the remainder when s is divided by 1124.
16
Let r(i) = -165*i - 44. Let m = -194 + 100. Let k = -62 - m. What is the remainder when r(-2) is divided by k?
30
Let c = 6398 + -6377. What is the remainder when 102 is divided by c?
18
Let f(o) = 9*o + 50. Let r be f(-5). Suppose -p - 28 = -r*p. Suppose -p*i + 1 + 83 = 0. What is the remainder when 34 is divided by i?
10
Suppose -52087*f + 52090*f - 48 = 0. Calculate the remainder when 169 is divided by f.
9
Let x = -13 + -10. Let l = x + 25. Suppose 0 = -s + 2*d + 24, 3*s - d = l*s + 19. Calculate the remainder when 166 is divided by s.
12
Suppose 0 = -3*s - 2*v + 10, s + 15 = -s + 3*v. Suppose 6*r - 228 + 30 = s. Let w = 44 - 22. What is the remainder when r is divided by w?
11
Let d be (-3 - (4 + -5)) + 45. Suppose 4*q = -q - 5*t + 115, 2*q - d = -t. What is the remainder when (-1024)/(-18) - (222/(-54) - -4) is divided by q?
17
Calculate the remainder when 55/(-44) + -1 + 6 + 334935/60 is divided by 4.
2
Let v(b) be the first derivative of b**3/3 + 10*b**2 - 29*b - 9. Let f be -22*((-4)/(-24))/(3/18). What is the remainder when 117 is divided by v(f)?
12
Let n(z) be the third derivative of -z**6/120 + 2*z**5/15 + 11*z**4/24 - 4*z**3/3 - 74*z**2. What is the remainder when 27 is divided by n(9)?
7
Calculate the remainder when 20 is divided by (-3 + 99/12)*(-456)/(-342).
6
Let i = -569 + 595. Suppose i*w - 183 = 23*w. Suppose -h + 5*h = 3*b + 48, 0 = 3*h - 3*b - 39. Calculate the remainder when w is divided by h.
7
What is the remainder when (-145)/(-58)*348/10 is divided by 11?
10
Suppose -2 = -2*z + 2*s, 3*z - 3*s = s - 1. Let b = 66 - z. Let c = -56 + b. What is the remainder when 24 is divided by c?
4
Let n = -8 - -1151. Calculate the remainder when n is divided by 115.
108
Suppose 57*r = 103*r - 10488. Calculate the remainder when r is divided by 174.
54
Let c(h) = 44*h - 123. Calculate the remainder when 192 is divided by c(4).
33
Suppose -c = -2*d - 423, 2*d - d = -4. Calculate the remainder when c is divided by 105.
100
Suppose -5*z + 0*i + 5*i = -50, 4*z - i = 49. Let v be 15*((-3)/1 - -2). Let p = 8 - v. What is the remainder when p is divided by z?
10
Let u(f) = f**2 - f + 12. Let t be u(0). Suppose 52 + t = d - 3*n, 4*d - 242 = 5*n. What is the remainder when d is divided by ((-15)/(-2))/((-9)/(-12))?
8
Let k(g) = -9*g + 338. What is the remainder when 1499 is divided by k(32)?
49
Let z = 3127 - 2744. What is the remainder when z is divided by 48?
47
Suppose 0 = 1750*j - 1796*j + 90574. What is the remainder when j is divided by 124?
109
Let p = 315 + -85. Calculate the remainder when 244 is divided by p.
14
Let y = -3794 + 3841. Suppose 2*k + s = 2*s + 274, -558 = -4*k - 3*s. Calculate the remainder when k is divided by y.
44
Suppose 3*c + 3*t - 3 = 4*t, 2*c - 2*t - 6 = 0. Suppose p + 7 - 79 = c. What is the remainder when p is divided by 3?
0
Suppose -2*a + 29 = 2*b - 3*a, 5*a = 4*b - 61. Suppose -11*r = -b*r + 150. Let p = -6 + 19. Calculate the remainder when r is divided by p.
11
Let r(z) = 186*z + 157. What is the remainder when r(4) is divided by 181?
177
Suppose l - 13 = -3*r + 4, 7 = 3*l - 2*r. Suppose 0 = -m + l*m - 24. Calculate the remainder when 27 is divided by m.
3
Suppose 0 = -2*b - 4*x + 470, -4*x = -3*b + 500 + 135. Calculate the remainder when 660 is divided by b.
218
Suppose 63*z = -3*o + 68*z + 393, 3*z = -5*o + 655. What is the remainder when o is divided by 109?
22
Suppose 315 + 875 = 7*n. Let k(q) = 6*q + 11. What is the remainder when n is divided by k(4)?
30
Let l(v) = -17*v + 370. Let n be l(21). Suppose 0 = -4*p - n*p + 323. Calculate the remainder when 93 is divided by p.
17
Let f(c) be the second derivative of -c**5/20 - 2*c**4/3 - 13*c**3/6 + 11*c**2/2 + 161*c. What is the remainder when f(-6) is divided by 9?
8
Let i(m) = -177*m - 82. Calculate the remainder when i(-1) is divided by 58.
37
Let y(h) = 8*h + 2. Let p(x) = -x**3 + 31*x**2 - 203*x - 21. Calculate the remainder when p(10) is divided by y(2).
13
Suppose -4*n - 86 = -2*v - 3*v, -v + 5*n = -34. Suppose -5*b + 5*r + 24 = 2*r, b = -4*r + v. What is the remainder when 1*5/2*14 is divided by b?
5
Let p(f) = -f**3 - 27*f**2 - 20*f - 110. Calculate the remainder when p(-27) is divided by 29.
24
Let i(w) = 2*w**2 + 40*w - 86. Let q be i(-25). Suppose 14*u - 60 = q. What is the remainder when 109 is divided by u?
13
Let c(w) = 3*w + 48. Let u(k) = k. Let s(d) = c(d) - 2*u(d). Let r be s(0). Suppose 0 = -4*p, -4*i + r = p - 5*p. What is the remainder when 20 is divided by i?
8
Suppose -46 + 1080 = 47*i. What is the remainder when 92 is divided by i?
4
Suppose 63500 - 178286 = -32*v - 94*v. What is the remainder when v is divided by 102?
95
Let j(y) = 2128*y + 12795. Calculate the remainder when 68 is divided by j(-6).
14
Let f(x) = -23*x**3 - 6*x - 5. Let n be (40/5 - -1) + -4. Suppose n*a = -6*a - 11. Calculate the remainder when 82 is divided by f(a).
10
Let x = 55 + -27. Let b(m) = -32*m - 5019. What is the remainder when b(-160) is divided by x?
17
Suppose -7*a + 354 = -619. Suppose -3*l = -2*q + 3*q + a, 3*q = -4*l - 192. Let y = l - -127. What is the remainder when y is divided by 21?
19
Suppose 21*o - 600 - 849 = 0. Let r be (-11)/(-3) - (-8)/(-12). Suppose o = r*d - 156. What is the remainder when d is divided by 13?
10
Let j = 698 + -293. Calculate the remainder when j is divided by 103.
96
Let a be 1586/39 - 2/3. Suppose -5*q = -6*q + 39. Suppose -a - q = -d. Calculate the remainder when d is divided by 27.
25
Suppose -v - 1 = 0, 0 = -5*u - 2*v - 430 - 472. Let b = u - -217. What is the remainder when (-2)/(-10) - (-1632)/15 is divided by b?
35
Let o = -24 + 40. Suppose -1764 = -7*c - 203. What is the remainder when c is divided by o?
15
Suppose 840 = 3*r - 2*l, 14*l = 15*l - 6. What is the remainder when r is divided by 17?
12
Suppose -m + 5*t = -28, 8*m - 136 = 3*m + 29*t. Calculate the remainder when 254 is divided by m.
23
What is the remainder when 260 is divided by (-47)/(141/30) - -29?
13
Let s be 4/12 - 178/6*-1. Let d = -124 - -134. What is the remainder when d is divided by ((-2)/3)/(26/s + -1)?
0
Suppose -18 = 3*a - 5*f - 195, -2*a + 3*f + 118 = 0. Let o = -37 + a. Calculate the remainder when 87 is divided by o.
21
Let l = 2616 - -21882. Calculate the remainder when l is divided by 49.
47
Let h(o) = o**2 + 23*o + 41. Let u = 1748 + -1730. What is the remainder when h(-23) is divided by u?
5
Let x = 75657 + -75581. Suppose -5*i - 25 = 0, v = 3*i + 14 + 29. What is the remainder when x is divided by v?
20
Calculate the remainder when (5/2)/((-50)/(-20780)) is divided by 52.
51
Suppose 452 = 2*s - 2*u, -5*s = 3*u - 1381 + 267. Let j = -578 - -590. Calculate the remainder when s is divided by j.
8
Let u = 166 - 235
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from {b: 1, p: 2, t: 3, s: 3, g: 2, k: 4}?
4/1365
What is prob of sequence sczd when four letters picked without replacement from ccscczcsfscdz?
3/1430
Three letters picked without replacement from {c: 2, z: 16}. What is prob of sequence zcz?
5/51
Calculate prob of sequence mtz when three letters picked without replacement from {m: 1, z: 2, u: 2, w: 2, t: 1, v: 5}.
1/858
Two letters picked without replacement from {l: 9, b: 2}. What is prob of sequence bb?
1/55
Four letters picked without replacement from {j: 1, a: 5, q: 5, z: 5, d: 1, g: 2}. Give prob of sequence gdja.
5/46512
Four letters picked without replacement from {o: 9, z: 10}. Give prob of sequence oozz.
45/646
Two letters picked without replacement from jtggjtttjgtl. Give prob of sequence tj.
5/44
Three letters picked without replacement from {q: 1, k: 6, u: 1, t: 1, z: 5}. Give prob of sequence zzk.
5/91
Calculate prob of sequence yoo when three letters picked without replacement from {y: 6, o: 7}.
21/143
Calculate prob of sequence iii when three letters picked without replacement from iiiiriiiiirii.
15/26
Two letters picked without replacement from dnriinjd. What is prob of sequence ir?
1/28
What is prob of sequence qwrr when four letters picked without replacement from {r: 4, f: 2, q: 1, w: 6}?
3/715
Two letters picked without replacement from {a: 5, u: 2}. Give prob of sequence aa.
10/21
What is prob of sequence za when two letters picked without replacement from zzazaaa?
2/7
Calculate prob of sequence yssy when four letters picked without replacement from {y: 4, s: 2}.
1/15
What is prob of sequence bbvg when four letters picked without replacement from {g: 1, b: 5, v: 14}?
7/2907
Two letters picked without replacement from ysgasasgazygjagya. What is prob of sequence sy?
9/272
Calculate prob of sequence fxf when three letters picked without replacement from xfhxfrhrhfjxjrxjhxj.
5/969
Two letters picked without replacement from ldz. What is prob of sequence zl?
1/6
Four letters picked without replacement from kkbbkbkpkbkkk. What is prob of sequence bpkb?
4/715
Calculate prob of sequence fmmm when four letters picked without replacement from mmffmmmmmfmffffmmfmf.
99/1292
Calculate prob of sequence ggag when four letters picked without replacement from {g: 10, a: 9}.
45/646
Two letters picked without replacement from {l: 1, g: 1, q: 1}. What is prob of sequence qg?
1/6
Calculate prob of sequence ql when two letters picked without replacement from {l: 6, q: 4, s: 3}.
2/13
Two letters picked without replacement from {b: 3, o: 1, x: 2, f: 1, d: 4, v: 1}. Give prob of sequence bf.
1/44
Four letters picked without replacement from {z: 4, n: 3, u: 1}. Give prob of sequence zuzz.
1/70
Two letters picked without replacement from {w: 2, u: 1, b: 1, p: 2}. Give prob of sequence pw.
2/15
Calculate prob of sequence hhyy when four letters picked without replacement from {f: 5, h: 4, y: 6, v: 1, d: 4}.
1/323
What is prob of sequence mpmt when four letters picked without replacement from mttmqup?
1/210
What is prob of sequence qd when two letters picked without replacement from rqroqqd?
1/14
What is prob of sequence lrll when four letters picked without replacement from {r: 1, l: 7}?
1/8
What is prob of sequence ffb when three letters picked without replacement from qqbftqbfqfffff?
1/26
Four letters picked without replacement from pqpqqqqpqppqqppq. Give prob of sequence qpqq.
21/260
What is prob of sequence okb when three letters picked without replacement from bkbuou?
1/60
Two letters picked without replacement from dixddixd. What is prob of sequence id?
1/7
Three letters picked without replacement from {g: 1, t: 1, c: 6, j: 8, l: 1}. Give prob of sequence ctg.
1/680
Calculate prob of sequence gp when two letters picked without replacement from pcfpggnf.
1/14
What is prob of sequence rr when two letters picked without replacement from ororoooll?
1/36
Calculate prob of sequence kp when two letters picked without replacement from {z: 2, k: 2, l: 8, p: 1}.
1/78
Four letters picked without replacement from {m: 8, j: 2, s: 2, t: 4}. What is prob of sequence tmjt?
2/455
Three letters picked without replacement from {e: 4, m: 3, k: 2, a: 2, u: 1, y: 2}. What is prob of sequence uyy?
1/1092
Calculate prob of sequence gg when two letters picked without replacement from {g: 6}.
1
Two letters picked without replacement from {m: 1, b: 7}. What is prob of sequence mb?
1/8
Two letters picked without replacement from gccbbccb. Give prob of sequence bg.
3/56
Four letters picked without replacement from mjejyfyfmmmjej. What is prob of sequence jmmj?
6/1001
Four letters picked without replacement from {g: 3, r: 2, h: 1, j: 6, t: 5, b: 3}. What is prob of sequence bjjj?
1/323
Calculate prob of sequence yvy when three letters picked without replacement from yvvvyvvvvvy.
8/165
What is prob of sequence tlzj when four letters picked without replacement from {y: 3, t: 1, k: 2, z: 1, j: 2, l: 3}?
1/1980
Four letters picked without replacement from {r: 9, p: 5}. What is prob of sequence pprp?
45/2002
Calculate prob of sequence gpp when three letters picked without replacement from {h: 7, g: 2, l: 1, p: 4}.
1/91
What is prob of sequence gog when three letters picked without replacement from gog?
1/3
What is prob of sequence zzd when three letters picked without replacement from dkvsddzvdwdszdv?
2/455
Three letters picked without replacement from {s: 1, e: 5, f: 3, h: 2, d: 3, k: 1}. What is prob of sequence hhf?
1/455
Calculate prob of sequence ux when two letters picked without replacement from {u: 2, l: 2, a: 1, k: 3, f: 9, x: 1}.
1/153
Calculate prob of sequence eeq when three letters picked without replacement from {q: 12, e: 3}.
12/455
Calculate prob of sequence kuk when three letters picked without replacement from {q: 4, k: 2, u: 1, v: 2, x: 4, g: 1}.
1/1092
Three letters picked without replacement from {u: 6}. What is prob of sequence uuu?
1
Two letters picked without replacement from tctbccco. What is prob of sequence tt?
1/28
Two letters picked without replacement from sqqqzsiyqusssqu. What is prob of sequence is?
1/42
Calculate prob of sequence nnj when three letters picked without replacement from {j: 6, n: 2, r: 7}.
2/455
What is prob of sequence ns when two letters picked without replacement from {s: 7, n: 4}?
14/55
Calculate prob of sequence syd when three letters picked without replacement from {c: 1, y: 1, s: 2, g: 3, d: 1, a: 4}.
1/660
Calculate prob of sequence ooob when four letters picked without replacement from {b: 1, o: 19}.
1/20
Two letters picked without replacement from {m: 2, h: 8, v: 2, c: 5}. What is prob of sequence mc?
5/136
Three letters picked without replacement from {z: 7, j: 2, k: 6}. Give prob of sequence kkk.
4/91
Two letters picked without replacement from {j: 1, v: 2, w: 2, z: 2, r: 1}. Give prob of sequence wv.
1/14
What is prob of sequence zt when two letters picked without replacement from {n: 1, t: 1, c: 1, z: 2}?
1/10
What is prob of sequence siss when four letters picked without replacement from {i: 2, h: 2, s: 9, z: 3, p: 3}?
7/646
Two letters picked without replacement from {b: 14, j: 1}. Give prob of sequence bj.
1/15
Two letters picked without replacement from {u: 2, z: 4}. Give prob of sequence zu.
4/15
Calculate prob of sequence gqll when four letters picked without replacement from {l: 6, q: 2, g: 7}.
1/78
Four letters picked without replacement from {f: 4, c: 2}. What is prob of sequence cfcf?
1/15
What is prob of sequence lpp when three letters picked without replacement from zpplmazplprlp?
5/143
What is prob of sequence aahg when four letters picked without replacement from ahghaahaaahaaahaha?
11/1224
Three letters picked without replacement from ccdynncnrcrrnn. Give prob of sequence rnn.
5/182
Three letters picked without replacement from uyybybyybyyubyuy. Give prob of sequence byy.
3/35
Four letters picked without replacement from tgfttqgqftftg. What is prob of sequence fgqt?
3/572
Three letters picked without replacement from mfmffffffffffffffff. What is prob of sequence mmf?
1/171
Calculate prob of sequence add when three letters picked without replacement from zqoazdao.
0
Four letters picked without replacement from {t: 2, s: 4}. Give prob of sequenc
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 7.
3
What is the remainder when 381 is divided by 128?
125
Calculate the remainder when 30 is divided by 8.
6
Calculate the remainder when 5732 is divided by 13.
12
What is the remainder when 367 is divided by 93?
88
What is the remainder when 653 is divided by 160?
13
What is the remainder when 185 is divided by 19?
14
What is the remainder when 429 is divided by 26?
13
What is the remainder when 70 is divided by 21?
7
What is the remainder when 57 is divided by 31?
26
Calculate the remainder when 192 is divided by 69.
54
What is the remainder when 562 is divided by 42?
16
What is the remainder when 14 is divided by 2?
0
What is the remainder when 741 is divided by 49?
6
Calculate the remainder when 812 is divided by 35.
7
Calculate the remainder when 637 is divided by 260.
117
What is the remainder when 2104 is divided by 25?
4
Calculate the remainder when 485 is divided by 54.
53
What is the remainder when 106 is divided by 24?
10
What is the remainder when 916 is divided by 14?
6
Calculate the remainder when 6327 is divided by 10.
7
Calculate the remainder when 220 is divided by 14.
10
What is the remainder when 8262 is divided by 39?
33
Calculate the remainder when 1095 is divided by 158.
147
What is the remainder when 845 is divided by 107?
96
What is the remainder when 212 is divided by 54?
50
Calculate the remainder when 163 is divided by 58.
47
Calculate the remainder when 17058 is divided by 20.
18
What is the remainder when 276 is divided by 112?
52
Calculate the remainder when 823 is divided by 15.
13
Calculate the remainder when 28 is divided by 18.
10
Calculate the remainder when 964 is divided by 474.
16
What is the remainder when 159 is divided by 15?
9
What is the remainder when 771 is divided by 244?
39
What is the remainder when 4210 is divided by 36?
34
Calculate the remainder when 10293 is divided by 234.
231
What is the remainder when 374 is divided by 81?
50
Calculate the remainder when 6042 is divided by 48.
42
What is the remainder when 1217 is divided by 87?
86
What is the remainder when 977 is divided by 79?
29
Calculate the remainder when 202 is divided by 79.
44
Calculate the remainder when 73 is divided by 6.
1
Calculate the remainder when 1425 is divided by 31.
30
What is the remainder when 242 is divided by 100?
42
What is the remainder when 3593 is divided by 327?
323
What is the remainder when 106 is divided by 19?
11
What is the remainder when 239 is divided by 41?
34
Calculate the remainder when 98 is divided by 6.
2
What is the remainder when 3709 is divided by 70?
69
Calculate the remainder when 283 is divided by 59.
47
What is the remainder when 106 is divided by 26?
2
What is the remainder when 245 is divided by 11?
3
What is the remainder when 2784 is divided by 82?
78
What is the remainder when 35 is divided by 9?
8
What is the remainder when 150 is divided by 77?
73
Calculate the remainder when 47 is divided by 18.
11
What is the remainder when 5288 is divided by 23?
21
Calculate the remainder when 102 is divided by 13.
11
What is the remainder when 167 is divided by 31?
12
Calculate the remainder when 20850 is divided by 29.
28
Calculate the remainder when 131 is divided by 90.
41
Calculate the remainder when 1075 is divided by 399.
277
Calculate the remainder when 3134 is divided by 157.
151
Calculate the remainder when 5810 is divided by 171.
167
Calculate the remainder when 735 is divided by 8.
7
What is the remainder when 244 is divided by 16?
4
What is the remainder when 769 is divided by 80?
49
Calculate the remainder when 175 is divided by 61.
53
Calculate the remainder when 8163 is divided by 23.
21
Calculate the remainder when 53 is divided by 38.
15
Calculate the remainder when 1675 is divided by 23.
19
Calculate the remainder when 3852 is divided by 93.
39
Calculate the remainder when 41277 is divided by 7.
5
Calculate the remainder when 951 is divided by 21.
6
Calculate the remainder when 302 is divided by 17.
13
What is the remainder when 2124 is divided by 16?
12
What is the remainder when 302 is divided by 38?
36
What is the remainder when 11563 is divided by 26?
19
What is the remainder when 94 is divided by 25?
19
Calculate the remainder when 6657 is divided by 18.
15
Calculate the remainder when 2255 is divided by 98.
1
Calculate the remainder when 196 is divided by 40.
36
What is the remainder when 236 is divided by 30?
26
Calculate the remainder when 101 is divided by 23.
9
What is the remainder when 483 is divided by 162?
159
What is the remainder when 250 is divided by 47?
15
Calculate the remainder when 1270 is divided by 13.
9
Calculate the remainder when 208 is divided by 31.
22
Calculate the remainder when 343 is divided by 15.
13
What is the remainder when 378 is divided by 10?
8
Calculate the remainder when 710 is divided by 16.
6
What is the remainder when 231 is divided by 74?
9
What is the remainder when 3283 is divided by 31?
28
Calculate the remainder when 44 is divided by 17.
10
What is the remainder when 1261 is divided by 79?
76
What is the remainder when 7537 is divided by 145?
142
What is the remainder when 3147 is divided by 45?
42
What is the remainder when 125 is divided by 52?
21
What is the remainder when 1068 is divided by 381?
306
What is the remainder when 243 is divided by 57?
15
Calculate the remainder when 549 is divided by 66.
21
Calculate the remainder when 174 is divided by 63.
48
Calculate the remainder when 66 is divided by 17.
15
What is the remainder when 445 is divided by 106?
21
What is the remainder when 259 is divided by 69?
52
Calculate the remainder when 54 is divided by 41.
13
Calculate the remainder when 283 is divided by 34.
11
What is the remainder when 114 is divided by 36?
6
Calculate the remainder when 22 is divided by 13.
9
Calculate the remainder when 50 is divided by 19.
12
What is the remainder when 54147 is divided by 19?
16
What is the remainder when 475 is divided by 104?
59
What is the remainder when 33 is divided by 18?
15
Calculate the remainder when 369 is divided by 24.
9
What is the remainder when 399 is divided by 199?
1
Calculate the remainder when 37 is divided by 3.
1
Calculate the remainder when 1579 is divided by 44.
39
What is the remainder when 227 is divided by 96?
35
Calculate the remainder when 235 is divided by 40.
35
What is the remainder when 1287 is divided by 642?
3
What is the remainder when 53839 is divided by 393?
391
What is the remainder when 163 is divided by 33?
31
Calculate the remainder when 1521 is divided by 371.
37
What is the remainder when 637 is divided by 40?
37
Calculate the remainder when 7994 is divided by 80.
74
What is the remainder when 522 is divided by 74?
4
What is the remainder when 479 is divided by 13?
11
Calculate the remainder when 328 is divided by 15.
13
Calculate the remainder when 17067 is divided by 169.
167
What is the remainder when 33957 is divided by 60?
57
What is the remainder when 194 is divided by 49?
47
Calculate the remainder when 60 is divided by 27.
6
Calculate the remainder when 2726 is divided by 66.
20
What is the remainder when 1070 is divided by 209?
25
What is the remainder when 844 is divided by 41?
24
Calculate the remainder when 766 is divided by 27.
10
Calculate the remainder when 7057 is divided by 46.
19
What is the remainder when 340 is divided by 321?
19
What is the remainder when 788 is divided by 108?
32
What is the remainder when 742 is divided by 11?
5
Calculate the remainder when 1530 is divided by 62.
42
What is the remainder when 118 is divided by 42?
34
What is the remainder when 113 is divided by 23?
21
What is the remainder when 540 is divided by 267?
6
What is the remainder when 815 is divided by 140?
115
What is the remainder when 3293 is divided by 470?
3
What is the remainder when 229 is divided by 36?
13
Calculate the remainder when 1729 is divided by 193.
185
What is the remainder when 45 is divided by 1?
0
What is the remainder when 1465 is divided by 32?
25
What is the remainder when 250 is divided by 239?
11
Calculate the remainder when 236 is divided by 13.
2
Calculate the remainder when 274 is divided by 6.
4
Calculate the remainder when 803 is divided by 203.
194
What is the remainder when 1775 is divided by 1
|
{
"pile_set_name": "DM Mathematics"
}
|
= -5*f + 12. Let v be 1/(-6) + (-2)/(-3). What is the closest to v in u, -0.3, -5?
-0.3
Let d be 2/(-7) - (-20)/(-175). Which is the closest to d? (a) -5 (b) -1/4 (c) -1
b
Let q(i) = 2*i**3 - 3*i**2 - 3*i. Let n be q(4). Let o = n - 202/3. What is the closest to o in -3, 1, 2/5?
2/5
Let r = -0.8 + -2.2. Let c = -7.6 + 7. Let z = -3.4 + c. What is the nearest to -1/2 in r, z, 5?
r
Let u = 11 - 10.7. What is the nearest to 1 in u, 6, -1/4?
u
Let f = -68 - -67. Which is the nearest to 1/3? (a) -5 (b) 2 (c) f
c
Let v = 31.4 + -31. Which is the nearest to -0.1? (a) 0 (b) 4 (c) v
a
Let h = 5.01 + -5. Let m = 0.09 + h. What is the closest to m in 4, -5, -3?
-3
Let j = -0.1 + 0. Suppose 72*u - 68*u = -8. Suppose 2*q = 7 + 3. Which is the nearest to 2/7? (a) j (b) u (c) q
a
Let r be 2/(-5)*5/(-10). What is the closest to 0 in 2, -1/6, r?
-1/6
Let v be 24/6 - (-5)/(-1). What is the nearest to v in 1/4, -0.3, -5/3?
-5/3
Suppose -1 - 3 = 4*i. Suppose -361 = -4*d - 381. What is the closest to 2 in 1/6, d, i?
1/6
Suppose 5*l = 39 + 46. Suppose 0 = -5*t + 2*v - 25, 0 = -5*v + 8 + l. Which is the closest to 1/3? (a) t (b) -5 (c) -0.4
c
Let u be (-8)/(-20)*2/(-2). Which is the nearest to 0.1? (a) 2 (b) 2/9 (c) u
b
Let x = -52 - -38. What is the closest to 1 in 3, x, 1?
1
Let s be 1174/15 + 6/(-9). Let t = -78 + s. Let u = -249/5 - -50. Which is the closest to t? (a) -3 (b) -0.5 (c) u
b
Let a = -2.5 - -3. Let g be ((-4)/(-14))/(2/167). Let f = 24 - g. What is the nearest to 2/7 in f, a, -0.5?
f
Let k = 0.3 + -1.3. Let c = -6 + 9. Let a = -0.618 + 0.518. What is the nearest to k in c, 0.1, a?
a
Let q be ((-4)/(-14))/((-40)/(-56)). Which is the nearest to q? (a) 1 (b) -0.1 (c) 0.5
c
Suppose -9*j - 21 = -2*j. What is the closest to 2 in -2/17, -4, j?
-2/17
Let l = -1.3 - -0.8. Let g = -14 + 100/7. Let s = 0.3 + -2.3. What is the closest to s in -0.1, l, g?
l
Let t be 100/(-56) - 9/(-6). What is the nearest to t in -1/6, 3, -2/13?
-1/6
Let i = 0.13 + 0.27. Suppose 3*y - f = 0, 2*f = -y + 6 + 1. What is the nearest to y in -2/3, i, 4?
i
Let f = -11 + 10.5. Let m = -0.1 - -0.1. Let w be -3 + 3 - (-1 - 4). What is the nearest to m in w, f, -2?
f
Let p = 32 + -31. Which is the nearest to -1? (a) -2/23 (b) 0.4 (c) p
a
Let o = -1 + 1.2. Let w be (3/15)/(12/20). Let j = 6 - 5.7. Which is the nearest to o? (a) w (b) 2/3 (c) j
c
Let y be (-2331)/1628 + 10/8. Let w = 0 - 0. What is the nearest to w in -0.2, y, 4?
y
Let o = 133/500 + -2/125. What is the nearest to o in -3, 5/4, 13?
5/4
Let k = 16 + -14. What is the closest to 1 in k, -0.4, -6?
k
Let s = -0.2 - -1.2. Let g = -14.2 + 14. What is the nearest to -3 in g, -0.5, s?
-0.5
Let t = -48 - -28. Let k = -19 - t. Which is the closest to k? (a) -1 (b) 0 (c) 1
c
Let y = 0.01 - 2.01. Let z be (95/19)/(1 + -2). What is the closest to y in 3/4, 4, z?
3/4
Let u = -0.095 + 2.115. Let v = u + -0.02. Which is the closest to 0.1? (a) -2/7 (b) v (c) 0.4
c
Let u be (0 + -1)/(3 - -1). Let j = 2.9 - 3.1. Let p be (1/(-10))/(6/(-36)). What is the closest to 1/3 in j, u, p?
p
Let j be 2 + -1 + (-16)/6. Let d = -37.7 + 36. Let i = -2.7 - d. Which is the closest to i? (a) j (b) -3 (c) 1/3
a
Suppose 7*g + 51 - 72 = 0. Let j = 4/5 + -21/20. Which is the nearest to 2? (a) j (b) -5 (c) g
c
Let k = 4/3 + 1/6. Which is the closest to 0.1? (a) -2 (b) k (c) 1
c
Suppose 4*z + x + 0*x = -49, -52 = 4*z + 4*x. Suppose -2*k - 5 - 7 = 0. Let r be ((-4)/z)/(2/k). Which is the nearest to r? (a) 0.2 (b) -5 (c) 4
a
Let y = 0.3 - 0.4. Let w = 5 - 8. Let s = 1 - -4. Which is the nearest to -2/7? (a) w (b) y (c) s
b
Let w = -29/4 - -91/12. Suppose 0 = 5*r + 5. Let p be (r/2)/((-7)/(-4)). What is the closest to w in p, -0.4, -4?
p
Let o(s) = s**3 - 15*s**2 - 17*s + 10. Let h be o(16). Which is the nearest to h? (a) -3 (b) 2/21 (c) 1
a
Suppose -3*h + 6 + 6 = 0. Which is the nearest to -1? (a) h (b) -2 (c) 1
b
Let z = 278/5 - 56. Let s = 0.7 + 0.3. Which is the closest to s? (a) 4 (b) z (c) 0.5
c
Let s be (-3 - -2)*(-4)/(-2). Let b be s - (11/(-7) + -1). Let x = -1/2 - -5/6. What is the closest to 0 in x, b, -1/5?
-1/5
Let v = -3.1 + 3. Let n = v + 0.2. What is the closest to n in -2, 1, -0.5?
-0.5
Let x be (1/7)/((-5)/(-10)). Which is the nearest to x? (a) 4 (b) -5 (c) 0.5
c
Let p be 55/(-22)*86/10. Let w = 21 + p. Let u be ((-1)/3)/(13/(-6)). Which is the nearest to w? (a) 0.5 (b) u (c) 4
b
Let y = -46/175 + 5349/7700. Let s = -2/11 + y. Which is the closest to -1? (a) 0.3 (b) -5 (c) s
c
Let d be 52/(-20) + (1 - -2). Let z = 0 + 3. Which is the nearest to z? (a) d (b) 0 (c) -3
a
Let k = 0.11 + -4.11. Let d = 1.7 + 2.3. Let m = k + d. What is the closest to m in -4/3, 0, -5?
0
Suppose -9*o + 4*o = 10. Let p = 4 - 6. Let s be (30/(-21) - 2) + (1 - -3). What is the nearest to p in s, -2/7, o?
o
Let n = -6 + 5.5. Let o = 6.44 + -2.47. Let r = -0.03 - o. Which is the closest to 1/3? (a) r (b) n (c) 1
c
Let l = -1.11 - -0.11. Let t = -215/3 - -71. Which is the nearest to l? (a) t (b) 1/2 (c) 0.4
a
Let l = -0.4 - -0.3. Let j = -203/209 + 15/19. What is the closest to j in 4, 2/3, l?
l
Let j = -3 + 2.9. Let d(z) = z**2 + z. Let k be d(3). Let m be -1*1 + 9/k. Which is the nearest to j? (a) m (b) 2 (c) 2/11
a
Let a = -32/45 - -2/45. Let x = 9 + -6. What is the closest to a in x, -4, -1/4?
-1/4
Let w be 22/(-99) - (-7)/18. Let p be 4/(-6) - 10/75. Let m = -0.1 - 0. What is the closest to m in w, p, -2?
w
Let s = -0.017 - -1.097. Let n = 0.08 - s. Which is the closest to 0.1? (a) n (b) -1/2 (c) 5
b
Let q = -1 - -0.9. Let n = -152.8 - -153. Which is the closest to -1? (a) q (b) 0.4 (c) n
a
Let p = -1.6 + 1.2. Which is the closest to 1? (a) -6 (b) p (c) -1
b
Let m = -60 - -65.3. Let i = 1.3 - m. What is the nearest to 1 in -1/8, 0.1, i?
0.1
Let p be (-1)/4*(-1 - 0). Let i = 2.15 - 0.15. What is the closest to -2 in p, -2, i?
-2
Let w = 109 - 107. Which is the closest to 0.5? (a) -2 (b) w (c) -4
b
Let u(j) = -j + 5. Let z be u(5). Suppose -4 = -4*p + 8. Let h = -0.7 + -0.3. Which is the closest to h? (a) -4 (b) p (c) z
c
Suppose 0 = -11*l + 13*l + 2. Let c(i) = i + 1 - 2 - 1. Let o be c(3). What is the closest to o in 4/5, -5, l?
4/5
Let w = -9.28 - -90.38. Let n = w - 76. Let i = 5 - n. Which is the closest to 0? (a) i (b) 0.4 (c) 4
a
Let f be (1 - -1)/((-21)/(-3)). Suppose 12*x + 9 = 9*x. Which is the closest to -1? (a) -0.2 (b) x (c) f
a
Let t be (0 - (-2)/15)*10. Suppose 8*j = 12*j. Let f be (-5)/2 - (0 - j). Which is the nearest to -1? (a) 2 (b) t (c) f
c
Let t(o) = -2*o**3 + o**2 + o - 1. Let m be t(1). Let w = -0.9 - -1. What is the closest to w in m, -1/4, -2/19?
-2/19
Let z be (-32)/(-72) - 2/3. Let u(j) = -4*j**2 - 1. Let o be u(-1). Which is the nearest to z? (a) o (b) 3/5 (c) -1/5
c
Let j = -16 + 26. Let a = j - 8. What is the closest to 0.1 in a, 3/2, 2/15?
2/15
Suppose -3*t + 3*u = 0, t - 6 = -0*t - 2*u. Let m = -0.32 - -0.22. What is the nearest to m in -0.4, t, 1?
-0.4
Let k = 0.19 - 0.29. What is the closest to k in 1, 0.4, 3/2?
0.4
Let v be (-10)/(-15) - 24/45. Which is the closest to 1? (a) -0.1 (b) v (c) 1
c
Let k = -24 + 23. Let r = -1.5 - k. Which is the nearest to 1? (a) -6/5 (b) r (c) -5
b
Let v be ((-42)/(-10))/(4/(-60)). Let c be (-4)/(-14) - 87/v. Suppose 0 = -h - 3*p - 18, 2*h + 0*h + 26 = -4*p. What is the nearest to 2 in -4, h, c?
c
Suppose -5*l - 3 = g, 4*l = -3*g + 5*l - 9. Which is the nearest to -0.1? (a) -5 (b) 0.02 (c) g
b
Suppose 6*a + 38 = 14. Let t be -1 - -5 - 0 - 2. What is the closest to t in 0.4, -0.4, a?
0.4
Let u be (1/(-6))/(1 - (-18)/(-8)). Which is the nearest to 7? (a) u (b) -5 (c) 1/4
c
Let t = 2.03 + -0.03. Let f = -248 + 247. Which is the closest to -0.1? (a) t (b) f (c) -3/7
c
Let s = -0.2 - -13.2. Let w = -8 + s. Let f = 44 + -44. What is the nearest to 0.1 in 3, w, f?
f
Let w = -3.62 - -0.52. Let k = 11 - 11.9. Let p = w + k. Which is the closest to -0.1? (a) p (b) -2/5 (c) 0.4
b
Let s = 66 - 459/7. Let i = 1.1 - 0.8. Let t = 23 - 23.1. Which is the nearest to t? (a) i (b) s (c) 1/5
c
Let i = -2 + 5/2. Let l be -6*-1*2/(-21). Let d = 0.19 - 0.09. Which is the closest to d? (a) 2 (b) l (c
|
{
"pile_set_name": "DM Mathematics"
}
|
: 1, d: 1, z: 2, k: 1}. What is prob of picking 1 k and 2 z?
1/364
Two letters picked without replacement from {h: 1, z: 6, y: 5, q: 3}. Give prob of picking 1 y and 1 h.
1/21
What is prob of picking 2 t and 1 i when three letters picked without replacement from tqrrqlrrrqqtirqqqlt?
1/323
Two letters picked without replacement from xxxnxvnxgmnb. What is prob of picking 1 b and 1 n?
1/22
Calculate prob of picking 2 w, 1 n, and 1 r when four letters picked without replacement from hjjnrjhnwnrjwnnnrnjn.
8/1615
Three letters picked without replacement from {g: 8, q: 2}. Give prob of picking 2 g and 1 q.
7/15
Calculate prob of picking 2 j and 1 y when three letters picked without replacement from {y: 1, j: 7}.
3/8
Four letters picked without replacement from ccjjdrrrcjc. What is prob of picking 2 r and 2 j?
3/110
Calculate prob of picking 2 i when two letters picked without replacement from iio.
1/3
What is prob of picking 1 k, 1 x, and 1 s when three letters picked without replacement from {a: 2, n: 1, d: 2, x: 1, s: 1, k: 2}?
1/42
What is prob of picking 1 p and 1 o when two letters picked without replacement from hhhopohhhhhohhhhh?
3/136
What is prob of picking 1 j and 1 f when two letters picked without replacement from {y: 1, j: 4, s: 1, f: 9}?
12/35
What is prob of picking 2 y when two letters picked without replacement from {y: 3, h: 3}?
1/5
Three letters picked without replacement from jodbdboobdb. Give prob of picking 1 b and 2 d.
4/55
Three letters picked without replacement from qhqqbkqbqbbqqxhqqh. What is prob of picking 1 x and 2 h?
1/272
Three letters picked without replacement from {l: 5, j: 5}. What is prob of picking 3 j?
1/12
Three letters picked without replacement from zdxzzddddy. Give prob of picking 1 d, 1 x, and 1 z.
1/8
What is prob of picking 1 u, 1 r, and 1 s when three letters picked without replacement from {n: 2, u: 1, s: 2, r: 1, c: 6}?
1/110
Calculate prob of picking 1 z and 2 t when three letters picked without replacement from wrzygytttttwy.
5/143
What is prob of picking 2 p when two letters picked without replacement from {p: 2, c: 4}?
1/15
Four letters picked without replacement from aqqaaqqvqzeqzqazqq. Give prob of picking 2 z, 1 e, and 1 v.
1/1020
Two letters picked without replacement from fqepg. Give prob of picking 1 p and 1 e.
1/10
Two letters picked without replacement from {n: 2, v: 4}. What is prob of picking 2 v?
2/5
Calculate prob of picking 2 t when two letters picked without replacement from fttf.
1/6
Two letters picked without replacement from {s: 1, f: 3, e: 3, y: 3}. What is prob of picking 2 f?
1/15
Calculate prob of picking 1 i, 1 o, and 1 f when three letters picked without replacement from ffoif.
3/10
What is prob of picking 1 l and 1 f when two letters picked without replacement from lllffanqfaz?
9/55
Calculate prob of picking 2 z when two letters picked without replacement from {m: 1, x: 1, w: 2, z: 2, u: 4}.
1/45
What is prob of picking 1 b and 1 j when two letters picked without replacement from {j: 2, d: 1, x: 1, r: 1, b: 2}?
4/21
What is prob of picking 1 c, 1 k, and 1 u when three letters picked without replacement from {m: 2, o: 1, k: 2, u: 2, b: 2, c: 3}?
3/55
Four letters picked without replacement from nlfllfhllfnvnf. What is prob of picking 2 f, 1 n, and 1 l?
90/1001
Two letters picked without replacement from dthde. What is prob of picking 2 d?
1/10
What is prob of picking 2 w when two letters picked without replacement from {y: 1, f: 1, h: 6, w: 8}?
7/30
What is prob of picking 1 k and 2 x when three letters picked without replacement from xkkkxxkk?
15/56
Calculate prob of picking 1 k, 1 d, and 2 g when four letters picked without replacement from {g: 3, d: 4, k: 7, o: 1, j: 3}.
7/255
Calculate prob of picking 3 l when three letters picked without replacement from {l: 4, a: 2}.
1/5
What is prob of picking 1 i and 1 z when two letters picked without replacement from {r: 1, z: 1, i: 1, g: 2}?
1/10
Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {r: 1, s: 1, e: 1, y: 1, n: 1, x: 2}.
1/21
Three letters picked without replacement from wwfffbffwwfwffb. What is prob of picking 2 f and 1 b?
8/65
Two letters picked without replacement from leneemeelmnlemleee. Give prob of picking 1 e and 1 n.
2/17
Three letters picked without replacement from {k: 3, u: 2, g: 1, e: 3, t: 1, i: 1}. What is prob of picking 3 i?
0
Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {z: 1, r: 3, b: 4, s: 1, g: 1, o: 4}.
4/91
Calculate prob of picking 1 v and 2 p when three letters picked without replacement from {p: 9, v: 2}.
24/55
Three letters picked without replacement from {o: 4, q: 2, z: 1, g: 4, m: 3}. What is prob of picking 1 g, 1 q, and 1 m?
6/91
What is prob of picking 3 d and 1 u when four letters picked without replacement from nnndnnddnnnnunn?
1/1365
Two letters picked without replacement from {z: 3, p: 1, g: 1, q: 2}. Give prob of picking 1 q and 1 g.
2/21
Three letters picked without replacement from mtmmmtmmmt. Give prob of picking 1 t and 2 m.
21/40
Four letters picked without replacement from kggkkkkgkgkgk. What is prob of picking 1 k and 3 g?
16/143
Three letters picked without replacement from zyyzppzzyzzz. What is prob of picking 3 y?
1/220
Two letters picked without replacement from {a: 2, b: 7, o: 1, c: 4, g: 1}. What is prob of picking 2 b?
1/5
Two letters picked without replacement from rgrrz. Give prob of picking 1 r and 1 g.
3/10
Three letters picked without replacement from {u: 8, f: 3}. Give prob of picking 3 u.
56/165
What is prob of picking 3 s when three letters picked without replacement from {l: 3, s: 7}?
7/24
Three letters picked without replacement from {e: 2, m: 1, r: 1, p: 1, w: 2, s: 2}. What is prob of picking 2 s and 1 e?
1/42
What is prob of picking 2 n and 1 w when three letters picked without replacement from nnnnnwnwnnnnwnnwnn?
91/204
Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {m: 3, h: 5, p: 2, x: 3}.
5/26
Three letters picked without replacement from uqtqtottpttqttqpt. Give prob of picking 1 t, 1 u, and 1 p.
9/340
Calculate prob of picking 2 o when two letters picked without replacement from ogoog.
3/10
Calculate prob of picking 2 w and 1 d when three letters picked without replacement from {d: 1, p: 2, u: 1, w: 4, c: 1}.
1/14
What is prob of picking 4 i when four letters picked without replacement from iiiiii?
1
Calculate prob of picking 1 p and 3 g when four letters picked without replacement from {g: 4, p: 2, l: 2, x: 3}.
4/165
What is prob of picking 4 h when four letters picked without replacement from {h: 6}?
1
Calculate prob of picking 3 i when three letters picked without replacement from iiiiiii.
1
What is prob of picking 2 a and 1 q when three letters picked without replacement from {z: 1, q: 1, a: 2}?
1/4
Three letters picked without replacement from {s: 1, j: 1, k: 7}. Give prob of picking 1 j and 2 k.
1/4
Three letters picked without replacement from {y: 3, f: 1}. Give prob of picking 3 y.
1/4
What is prob of picking 1 t, 1 a, 1 s, and 1 c when four letters picked without replacement from ytascea?
2/35
Calculate prob of picking 1 v and 2 n when three letters picked without replacement from mvmmnmmmmmnmnmqmn.
3/340
What is prob of picking 1 e and 1 l when two letters picked without replacement from llekllkeeekkeek?
8/35
Three letters picked without replacement from qhqhhqhqqqqhhh. Give prob of picking 1 h and 2 q.
21/52
Calculate prob of picking 3 z when three letters picked without replacement from {f: 1, z: 14}.
4/5
Two letters picked without replacement from ksksskss. Give prob of picking 1 k and 1 s.
15/28
Four letters picked without replacement from ggkggggkgkggggq. What is prob of picking 2 k and 2 g?
11/91
Four letters picked without replacement from {f: 5, h: 5}. Give prob of picking 1 h and 3 f.
5/21
Three letters picked without replacement from llllllllllzlzllllll. Give prob of picking 2 z and 1 l.
1/57
Calculate prob of picking 1 d and 1 n when two letters picked without replacement from rrdrrnrrrrr.
1/55
Two letters picked without replacement from {b: 2, f: 1, x: 5, a: 1, g: 6}. Give prob of picking 1 f and 1 x.
1/21
Fou
|
{
"pile_set_name": "DM Mathematics"
}
|
2, -6.
-6, -1, 2, o
Let d = 13 - -122. Let c be (-40)/(-14)*(-4 + d/18). Sort -5, -2, c, 4 in decreasing order.
c, 4, -2, -5
Let o be (-1 + -1)*(-6)/(-12). Let x be 19/(-38)*(2/o - -16). Sort 1, x, 2/9, -1 in descending order.
1, 2/9, -1, x
Suppose -1 = -5*o + 14. Let p be (6/9)/(-1)*(10/100 - 304/190). Sort -2, p, o, -1 in ascending order.
-2, -1, p, o
Let h(r) = -14*r**3 - 27*r**2 - 26*r + 2. Let k be h(-1). Sort 66, -1, k in decreasing order.
66, k, -1
Let h(i) = -i**3 - i**2 + 12*i - 8. Let a be h(-4). Suppose -5*u + 2 = 7. Put 2, a, u in descending order.
2, u, a
Let f be 3 - 0 - (10 + -11). Let s = f - 4. Let u be 18/189 - 410/(-105). Sort u, s, -1 in increasing order.
-1, s, u
Suppose 68*m + 8 = 72*m. Suppose 9 = -4*d + 5*t, 4*d + 5*t + 1 = m*t. Sort d, 4, 3 in descending order.
4, 3, d
Let u = -8939 + 8937. Sort u, -3, 14, 3.
-3, u, 3, 14
Let b = -3.3 - -3. Let i = b + 0.8. Let u = -21197 + 21196.8. Put -4/7, -4, u, i in ascending order.
-4, -4/7, u, i
Let l = -6696 - -6698. Let q be 12/(-54) - (-47)/9. Put -2, -3/11, q, l in descending order.
q, l, -3/11, -2
Let x = 2.9 + 1.1. Let z = -142 - -146.6. Let f = z - -4.4. Sort x, f, 0.5 in descending order.
f, x, 0.5
Suppose -3*k - 5*x = 11, -3*x + 2*x = 2*k - 2. Let h = 54 + -35. Let n = h + -25. Sort k, n, 1 in decreasing order.
k, 1, n
Let k = -625 - -1243. Suppose 5*j - k = -608. Put 3, 23, -2, j in increasing order.
-2, j, 3, 23
Let b(x) = -3*x**2 - 38*x + 102. Let n be b(-15). Put 4, -5, 1, n, 6 in decreasing order.
6, 4, 1, n, -5
Let n = 6738 - 6740. Let c be (1 - -1)*27/(-6). Put 0, n, -4, c in decreasing order.
0, n, -4, c
Suppose 0 = -8*x + 8 - 8. Let m be 3 + 4 + 5 + -4. Suppose -3*j + 5*j + m = x. Put -1, j, 2 in decreasing order.
2, -1, j
Let r(p) = -2026*p + 4269. Let l be r(2). Sort 13, -5, l, 3 in descending order.
l, 13, 3, -5
Let l be 16/40 - 51/15. Let p be (0 + (-4)/8)*2. Let k be 1*((-2 - -2) + p). Sort 2, l, k in descending order.
2, k, l
Let c(z) = z + 20. Let r be c(9). Suppose w - 23 = 3*q + 2*q, 3*w = 5*q + r. Suppose -2*p - 3*p = -3*a + 15, -p = 2*a + 3. Put a, -5, q in ascending order.
-5, q, a
Let s be 0 + (16/72 - (-97)/9). Suppose 0 = l + 5*w + 2, 2*l - 2*w - 2*w + 4 = 0. Sort 1, s, 4, l in descending order.
s, 4, 1, l
Let o be 45 + (-1 + 2)*0. Let b be -1 - (42 - ((-5 - -2) + -2)). Let x = b + o. Sort 2, 3, x in decreasing order.
3, 2, x
Let g(k) = -k**2 - k - 5. Let x be g(4). Let r = x - -23. Let n = -4.13 + 0.13. Put n, 4, r in increasing order.
n, r, 4
Let z = -0.048 + -0.052. Let w = 5 + -9. Let n = 4.4 + w. Sort 5, n, z, 4/5.
z, n, 4/5, 5
Let y = -1269 - -1265. Put y, 0.1, 1/2, -34 in decreasing order.
1/2, 0.1, y, -34
Suppose -75 - 5 = -4*d. Suppose -p - 18 = -20. Suppose -4*n = -5*t - 14, d = p*n + 6*t - 2*t. Sort -3, n, 1/5 in ascending order.
-3, 1/5, n
Suppose 4*q = 5*g + 201, -2*g - 2 = -3*q + 84. Sort 3, g, 4 in decreasing order.
4, 3, g
Let a be (-3)/(24/48 + -2). Sort 4/15, -23, a.
-23, 4/15, a
Let r = -364.207 + 0.207. Let a = r - -364.3. Sort -7, 6, a in descending order.
6, a, -7
Let q = 242 + -242.0678. Let d = q + -0.1322. Put -1/4, 0.5, d in descending order.
0.5, d, -1/4
Let k(r) = r**3 - 3*r**2 - 2*r + 5. Let h be k(2). Let t be h/2*(-16)/(-12). Let f be t/(-2) - 10 - (-22 + 18). Sort f, 1, -2, 2 in descending order.
2, 1, -2, f
Suppose -4*x = 3*r + 13, -5*x = 3*r - 4*x + 1. Suppose -3*o = -k - 8, 9 + 7 = 4*k. Sort r, o, -1, 3 in descending order.
o, 3, r, -1
Let o = 7.9392 + -8.0092. Let l = 1 + 0. Sort l, -0.03, o in descending order.
l, -0.03, o
Let h be 1/(28/(-10)*-1 + -3). Suppose 6*k + 7 = -5. Put k, h, 2 in ascending order.
h, k, 2
Suppose -234 = 4*o - 182. Let b(q) = 17*q + 222. Let k be b(o). Suppose -3*d = -6*d - 6. Put k, 5, d in ascending order.
d, k, 5
Let w be (-28809)/17820 + (-7)/(-4). Put -4, 4, 10, w, -0.4 in increasing order.
-4, -0.4, w, 4, 10
Let b = -79 - -78. Suppose -2*m = -4*a + 8, 2*m + 0*m - 5*a + 11 = 0. Sort b, -2, -3, m in increasing order.
-3, -2, b, m
Let j(c) = -c**3 - 3*c**2 + 3*c - 2. Let z be j(-4). Suppose -n - 167*d + 170*d + 15 = 0, -2*n - d = -23. Sort n, -5, 4, z in decreasing order.
n, 4, z, -5
Let z be -2*(-16 - 17/2). Put -1, 3, -5, z in decreasing order.
z, 3, -1, -5
Let k(q) = 2*q - 5. Let x(n) = -3*n + 9. Let l(b) = -5*k(b) - 2*x(b). Let s be l(3). Let r = -2040 - -2042. Sort s, 24, r in ascending order.
s, r, 24
Suppose -74 + 42 + 78 = -46*s. Put -2, 5, s, 0, 37 in descending order.
37, 5, 0, s, -2
Suppose 4*k = 4*l + 40, 36 + 4 = -5*l + 3*k. Let u be -3 + 3 + 4 + -3. Suppose 3*d = -4*q - u, 2*d + 2 = -d - 5*q. Put -23, l, d in descending order.
d, l, -23
Let q = 7.962 + -8.4. Let a = q + -0.462. Sort a, -1/3, -0.5, 3 in descending order.
3, -1/3, -0.5, a
Let x = 0 + -0.1. Let q = 355 - 359. Let l be -3 + ((-304)/(-22) + q - 7). Sort 1, l, x, 36.
l, x, 1, 36
Let k = -2521.3 + 2521. Let s = 4.09 - 4.6. Let q = -0.01 - s. Put q, k, 5 in ascending order.
k, q, 5
Let b = 4.29 + -1.29. Let l(f) = f**2 + 8*f - 18. Let y be l(-10). Suppose -2*a + 0 = -4*x + 2, 0 = y*x - 3*a - 7. Sort -3, 0.2, x, b in decreasing order.
b, 0.2, x, -3
Suppose 75 = 8*y + 67. Suppose t - 6*t = 3*r - 26, -5*t - 110 = -5*r. Suppose 2*h - 29 = 5*j, -3*j + 3*h - 4 - r = 0. Put 4, j, 2, y in ascending order.
j, y, 2, 4
Let q = -169903/9 - -18878. Sort 402, 0.3, 4, q in increasing order.
q, 0.3, 4, 402
Let c be 1/(19/(-342)*9). Suppose 3*w = -a - 1, -w + 5 = a + 2*a. Put 61, 3, a, c in descending order.
61, 3, a, c
Suppose 4*u + 8 = -4*u. Let r be (0 - -8)*u/(-2). Let k = -4 - -4. Sort -1, r, 5, k in increasing order.
-1, k, r, 5
Suppose -8*o = -11*o - 9. Let p(r) = 3*r + 1. Let u be p(2). Let b = u - 2. Put -2, -5, o, b in ascending order.
-5, o, -2, b
Let y = 1.514 - -0.266. Let g = -1.78 + y. Put 0.013, g, 3 in descending order.
3, 0.013, g
Let a = -2/193 - 1132/2509. Let g = 32447 + -162776/5. Let w = g - -1097/10. Put 6/7, a, w in ascending order.
a, 6/7, w
Suppose 0 = -2*i + 2*d + 6, 5*i - 36 = 41*d - 43*d. Let f = -0.2 - 0.1. Sort i, -1/3, f, 3.
-1/3, f, 3, i
Let n be 2 + 3/((-42)/22). Let u = -7803.4 + 7808.4. Put n, u, -3 in ascending order.
-3, n, u
Suppose 5*r + 43 = 3*z, -4*r + 60 = 4*z - 8*r. Suppose 14*w + 142 = z. Put -3, -5, w in increasing order.
w, -5, -3
Let c = -2 - -1. Suppose 741*f = 746*f - 25. Put -31, c, f in increasing order.
-31, c, f
Let r be ((-28)/(-16))/((-32)/128). Let i = -120 - -124. Put -4, 1, r, i in decreasing order.
i, 1, -4, r
Suppose -18*y - 4*q = -11*y + 47, 3*y = 5*q. Let c be 3*((-10)/3)/(-5). Suppose c*g - 10 = 0, -l + 6*g - 25 = g. Sort -15, y, 1, l in descending order.
1, l, y, -15
Let o be (-3 - (-130)/39)*-3*4/(-2). Let p = 11 - 7. Put o, -3, 6, p in ascending order.
-3, o, p, 6
Let p be -207*6/(2 - -4). Let b = 204 + p. Sort -51, -1, b in decreasing order.
-1, b, -51
Let g = -7 + 5. Suppose 0 = -4*n + y + 10, 4*y = 5*n - 4*n + 5. Suppose -2*w + 3*w - n*x = 8, 4*x = -5*w - 36. Sort w, g, 5 in descending order.
5, g, w
Let s = 25146 - 25146. Sort 13, s, -2, -15 in ascending order.
-15, -2, s, 13
Let l be 2/(-2)*(1 + 225/(-200)). Sort -3/13, -26/3, l in increasing order.
-26/3, -3/13, l
Let m(x) = -14*x - 36. Suppose 0 = -13*n - 48 - 4. Let r be m(n). Sort 1/3, 3, r in increasing order.
1/3, 3, r
Let w = -1251 + 5001/4. Put 3/4, w, 1/17 in decreasing order.
3/4, 1/17, w
Let l(b) be the second derivative of -14*b + b**2 + 0 + 1/3*b**3 + 1/4*b**4. Let h be l(-1). Put -7, -2, h in increasing order.
-7, -2, h
Let u = 427.52 + -0.52. Let b = 430 - u. Sort 0.4, b, -20.
-20, 0.4, b
Suppose 7*a - 119 = -154. Suppose 2*o = 9*o + 28. Sort -8, a, -2, o in decreasing order.
-2, o, a, -8
Let a = 386.2 + -433.2. Sort a, -0.3, -0.04 in descending order.
-0.04, -0.3, a
Let p(w) = 8*w - 1. Let t(j) = 9*j. Let x(y) = 7*p(y) - 6*t(y). Let s be x(4). Let b = 0.7 - 0.6. Put s, b, -1/7 in descending order.
s, b, -1/7
Let c = -361 - -361.715. Let a = c + -0.315. Put -0.17, 2/3, a in decreasing order.
2/3, a, -0.17
Suppose -7 = -v - 3. Suppose 0 = -n + v + 6. Let y be n*(-1 - (-9)/6). Sort -3, y, 0 in increasing order.
-3, 0, y
Let q(f) = f**2 + 47*f + 538. Let t be q(-36). Sort -9, t, 0, -5 in decreasing order.
t, 0, -5, -9
Suppose 3*i + 3*v - 3 = 21, 2*i - 11 = -v. Let y be -3 + 2 + 4 + -7. So
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 and give v.
-123
Rearrange (-27*x**4 - x**2 - 2*x**3 + 12*x**2 + 41*x**4)*(2 - 3 + 0) to the form b*x + q*x**3 + p*x**4 + r + m*x**2 and give m.
-11
Rearrange 4 - 2*z - 6 - 16 - 35 + 0 to u*z + p and give p.
-53
Rearrange x**2 + 16*x + 5*x**3 + 2 - 1 + x**3 - 9*x**3 + 0 - 2*x**4 to the form n*x**3 + a + h*x**4 + y*x**2 + b*x and give n.
-3
Rearrange (0 + 0 - 1)*(-4*x + 2*x + 3*x) - 6521 + 6521 + 12*x to the form b*x + t and give b.
11
Express 2*u**4 - 16*u**4 - 115*u**2 + 225*u**2 - 24*u - 110*u**2 - 1 as y*u**3 + v*u + k + s*u**4 + b*u**2 and give y.
0
Express -18 + 13*v**3 + 18 + (-17 + 17 - 6*v**3)*(-1 + 0 - 1) in the form t*v**2 + i + w*v + x*v**3 and give x.
25
Express 2943 + h + 3*h**2 + 0*h**2 - 2*h**2 - 2957 in the form y + g*h + v*h**2 and give g.
1
Rearrange 1 + 9*v**3 - 46*v**2 + v**4 + 0*v**3 - 7*v**3 + 1 to the form g + x*v**3 + r*v**2 + s*v + z*v**4 and give g.
2
Rearrange (1 - 1 + 2)*(3*r - 2*r - 4 - 5*r) - 2*r - 3*r + r to the form c*r + z and give z.
-8
Express 2*b**2 + 30*b**3 - 2*b**2 + (2*b**2 - 3*b + 3*b)*(11*b - 3*b + 11*b) in the form u + d*b + l*b**2 + j*b**3 and give j.
68
Express -3 - 140*i**2 + 141*i**2 + 4 + 7*i**4 + i**3 as p*i**3 + b*i**4 + z*i**2 + h + j*i and give p.
1
Express (-37*u**2 + 9*u**2 - 43*u**2)*((-u + 0*u + 3*u)*(0*u + 0*u - 2*u) + 2*u - 2*u - u**2) as r*u**4 + l*u**3 + i + s*u + f*u**2 and give r.
355
Rearrange -31 + 26*g**3 + 93 - 32 - 8*g**2 - 32 to the form t*g**3 + k*g**2 + j*g + i and give t.
26
Rearrange (-86 + 39*q + 86)*(-4*q**2 + 6*q - 6*q)*(-1 - q + 1) to the form n*q + l*q**4 + k*q**2 + w*q**3 + f and give l.
156
Rearrange (-8*b**2 + 8*b**2 + 8*b**2)*(-2 + 4 + 6)*(-2*b - 1 + 1) to l*b + m*b**2 + x*b**3 + p and give x.
-128
Express -n**2 + 11 - n - 15*n**3 + 14*n**3 + 22 + 6 as x*n**3 + t*n + q + l*n**2 and give l.
-1
Rearrange 306*l**4 - 3 - 317*l**4 + 0 - l**2 - 2*l to b*l**2 + g*l + d*l**4 + x + i*l**3 and give d.
-11
Rearrange 0*l - l + 73 + 0*l - 71 - l to j*l + g and give g.
2
Express (-4 + 11 - 4 - 6*b)*(9*b**2 + 4*b**2 + 16*b**2) in the form n*b**3 + p*b + q*b**2 + i and give n.
-174
Rearrange (-2 - y + 2)*(-y**2 + y**2 + y**2) + (-3 + 7 - 8*y**2 - 5)*(-106*y + 74*y + 118*y) to the form w*y + r*y**3 + q*y**2 + l and give w.
-86
Express 0*h**2 + h**3 + 0*h**2 - 4*h**3 + 0*h**3 + 3*h**3 + (-h**2 + h**2 - 2*h**2)*(790 - 790 + 33*h) as j + q*h**3 + k*h + y*h**2 and give q.
-66
Rearrange -27*d**2 + 17*d**3 + 17*d**3 + 25*d**2 to the form q + o*d**2 + g*d**3 + u*d and give q.
0
Rearrange 1 + 3*q**4 - 4 + 2*q**3 + 0 + 2*q + q**2 + 2 to z*q + v*q**4 + k*q**3 + t + h*q**2 and give v.
3
Rearrange 2*y**3 - 6*y**3 + 29477*y**2 - 2 - 29476*y**2 + 2 - 3*y to the form k*y**3 + v*y + m + x*y**2 and give k.
-4
Rearrange -64*j + 182*j - 66*j - 63*j + 10 to the form n + s*j and give s.
-11
Rearrange (-450 + 131 - 375 - 315)*(y + 3*y - 5*y) to the form f + g*y and give g.
1009
Express ((-2*a**2 + a**2 - a**2)*(-2 + 3 - 3) + 2 - a**2 - 2)*(65*a - 128*a + 65*a - 58) in the form p*a + r*a**2 + n*a**3 + i and give r.
-174
Rearrange 1 + 11 + 19*n - 6 to the form j*n + c and give c.
6
Express (-1 - 2 + 5)*(-86*i + 61*i + 60*i)*(-2 - 1 - 3)*(3 - 4 + 2)*(3 - 4 + 0) in the form u*i + n and give u.
420
Rearrange -42*v**4 + 7*v**2 + v**2 + 41*v**4 + 0*v**2 - 13*v to b*v**4 + y*v**3 + x*v + w*v**2 + z and give z.
0
Express 19*r**3 + 181*r + 19 - 178*r + r**4 - 17 in the form l + n*r**3 + u*r + v*r**2 + d*r**4 and give u.
3
Express (-2*d + 1 - 1)*(-4*d**2 - d**2 + 4*d**2) + 658*d**2 - 658*d**2 - 289*d**3 in the form z*d + h*d**3 + p + l*d**2 and give p.
0
Express 9*t**2 - 2*t**2 - 2*t**3 - 10 - 6*t**2 - t**4 - t**3 in the form y*t**2 + f*t + u*t**3 + g + a*t**4 and give u.
-3
Express 5*i - 28*i**3 - 4*i**3 + 5*i**2 + 2 + 31*i**3 in the form m*i**2 + j*i**3 + u + y*i and give u.
2
Express 8 - i**2 - 5 + 32*i**2 + 38*i**2 in the form g*i**2 + k + n*i and give k.
3
Rearrange j**2 - 2*j**2 + 0*j**2 - 59*j + 122*j to h*j + f + p*j**2 and give h.
63
Rearrange -8*y + 8*y + 230 - 227 - y**3 - 93*y**2 to t + g*y**3 + i*y**2 + d*y and give t.
3
Express -77*x**3 + 2*x + 41*x**3 - 20*x**2 + 34*x**3 - 2 in the form z*x + u*x**2 + v + r*x**3 and give u.
-20
Express 320*u - 31 - 49*u + 31 as v + c*u and give c.
271
Express (0*v - v + 0*v + 3*v + 0*v + v + (-3*v + 5*v - v)*(0 + 2 - 1) + 0*v - 2*v + 3*v)*(2 - 4 - 18*v - 3*v) in the form x*v**2 + s + p*v and give x.
-105
Rearrange (0 - 1 + 0)*(-4*y + 5*y + 0*y) - 5*y + 4*y + 3*y - 5*y - 4*y + 5*y + (-1 + 5 - 2)*(22 - 3*y - 22) to the form b + v*y and give v.
-9
Rearrange (-26*s - 23*s - 16*s)*(3 - 4 + 0) + (-4 + 5 + 0)*(5 - 5 - s) - 5*s + 3*s + 4*s to the form j + y*s and give y.
66
Rearrange (-1 + 4 - 2)*(2 - 2 - d) - 5 - d + 5 + 356 - 356 - 41*d to the form g + o*d and give o.
-43
Rearrange 101 + 2*s**3 - 3*s + 103 + 100 - s**2 - 306 - 7*s**2 to b*s**3 + l*s**2 + u*s + p and give u.
-3
Rearrange -123*u**3 - u - 116*u**3 + 3*u**2 + 2*u + 240*u**3 to the form c*u + i*u**2 + w*u**3 + b and give w.
1
Express 31*p - p**3 - 12*p - 3*p + 3*p - 1 in the form b*p + y + k*p**2 + n*p**3 and give b.
19
Rearrange -24*k + 2*k**3 - 9*k**4 + 22*k**4 + 2*k**2 - 61*k - 15*k**4 - 1 to the form w*k**4 + j*k + i + l*k**2 + p*k**3 and give j.
-85
Rearrange -328*i + 4*i**3 - 3 - 336*i + 664*i - 16*i**2 to the form s*i + g*i**2 + m*i**3 + y and give g.
-16
Rearrange -13 - 147*f**2 + 13 - 173*f**2 to v + s*f**2 + n*f and give s.
-320
Express (s + 0*s + s)*(2 + s - 2)*(-3*s + 0*s - 2*s)*((0 + 0 + 1)*(6 - 6 + 10*s) + 1 - 4*s - 1) as u*s**2 + k*s**3 + z*s + d*s**4 + j and give d.
-60
Rearrange (-1 + 0 - 3)*(-2*a - a + 5*a) + (-3 + 13*a + 3)*(2 - 1 + 0) - 5*a + 0*a + 4*a to the form f + o*a and give o.
4
Rearrange -1 + v**4 - 16*v**2 + 12*v**2 + 6*v**2 - 4*v**3 to u*v + w*v**2 + m + f*v**4 + z*v**3 and give w.
2
Rearrange -4*z**3 + 14*z + 2*z**3 - 6*z + 9*z**2 - 3*z**2 + 0*z**3 to q*z + v*z**3 + l + x*z**2 and give q.
8
Rearrange (6*u + 2*u - u)*(-27*u**2 - 2*u**2 + 9*u**2) to the form f + g*u**2 + k*u + a*u**3 and give a.
-140
Express -17*r**2 + 8 - 326*r + 326*r in the form y*r**2 + b*r + h and give y.
-17
Express -2*c**3 + 26*c**2 - 6*c**2 + 16*c**2 - 7*c**2 + c + 5*c**3 as j*c**2 + x*c + w*c**3 + m and give w.
3
Express -5*n**3 - 6*n**4 - n**3 - n**3 + 8*n**4 + 8*n - 3*n**3 as j + m*n**3 + p*n**2 + h*n**4 + y*n and give j.
0
Rearrange (-1 + 3*k - 3*k + k)*(651*k + 599*k - 1127*k) to c*k**2 + t*k + j and give c.
123
Rearrange -3*x - 30*x**3 + 4 + 3*x + 50*x**3 to the form o*x**2 + b*x + v + m*x**3 and give b.
0
Express -d**4 + 14849*d - 25*d**2 - 14849*d + d**3 in the form t*d + q*d**3 + c*d**4 + n + s*d**2 and give c.
-1
Rearrange (6 - 2 - 16)*(-3 + 4 - 4)*(i + 2*i - 2*i)*(-i - 11*i**3 + i) to the form k*i**3 + c*i**2 + t + u*i**4 + j*i and give u.
-396
Rearrange (-2 - 2*y - 1 - 1)*(4 - 3 - 3)*(4 + 0 - 1 + 2 + 3 - 4 - 3 - 2 + 4 + (-1 + 1 - 1)*(3 - 2 + 0) + (-4 + 4 + 4)*(-4 + 2 + 0)) to z + p*y and give z.
-48
Express -3774*i + 1778*i + 1697*i in the form j*i + a and give j.
-299
Rearrange 48 + 77*c - 58 + 17 + (1 - 3 + 3)*(4*c + 2*c - 5*c) to u + p*c and give u.
7
Express -3*m + m + 7*m + (-24 + 24 - 6*m)*(-42 - 144 + 113) in the form t*m + y and give t.
443
Rearrange 7 - 13 + 202*k + 6 to the form n + a*k and give a.
202
Rearrange (6 - 7 - 2*n + 3*n)*(-220*n + 54*n - 56*n) to the form c*n**2 + v*n + o and give v.
222
Rearrange (-5 + 2 - 7 - 2)*(-8*d + 4*d - 10*d) to h*d + g and give h.
168
Express (2*u**3 + u**3 - u**3)*(0 + 0 - 2*u + (-5 + 1 + 2)*(2*u - 1 + 1) + 36*u + 44*u - 6*u) as t*u**3 + b*u**4 + p*u**2 + m*u + l and give b.
136
Rearrange 438*j + 126 + 7*j - 126 to b + y*j and give y.
445
Rearrange 0*f**2 - 3*f**2 + 82 - 49 + 28 to x*f + g*f**2 + r and give r.
61
Rearrange -697 + 85*k**2 + 697 + (-1 + 3 - 4)*(0*k**2 + 0*k**2 + 3*k**2) to the form g*k**2 + h + j*k and give g.
79
Express 1 - 19*z**2 - 3*z + 6*z + 3*z**4 + 17*z**2 - 8*z**4 - 11*z**2 in the form g*z**4 + s*z**3 + y*z + r*z**2 + d and give y.
3
Express 1138*s - 46 + 8 + 38 in the form f + u*s and give u.
1138
Rearrange (9*p**4 + 2*p**4 + 11*p**4)*(2 + 0 + 0) + 27*p**4 - 8*p**4 + 0*p**4 to the form m*p**4 + x + a*p**3 + r*p + d*p**2 and give m.
63
Rearrange 4682 - 2311 - 2349 + 27*z to the form r*z + n and give r.
27
Rearrange -
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the tens digit of 88441688?
8
What is the ten millions digit of 92141986?
9
What is the thousands digit of 102368477?
8
What is the thousands digit of 1653328860?
8
What is the ten thousands digit of 1877038204?
3
What is the units digit of 55503167?
7
What is the millions digit of 915940962?
5
What is the ten millions digit of 5204182373?
0
What is the tens digit of 16851347?
4
What is the thousands digit of 136008706?
8
What is the units digit of 15589219?
9
What is the hundreds digit of 1137222?
2
What is the ten thousands digit of 931358055?
5
What is the millions digit of 107538431?
7
What is the ten millions digit of 67804297?
6
What is the units digit of 211817823?
3
What is the tens digit of 5103285129?
2
What is the tens digit of 111772247?
4
What is the units digit of 1112147794?
4
What is the tens digit of 62659403?
0
What is the millions digit of 186286501?
6
What is the thousands digit of 282143163?
3
What is the hundred thousands digit of 55783328?
7
What is the ten thousands digit of 121507547?
0
What is the thousands digit of 70277372?
7
What is the hundred thousands digit of 344936410?
9
What is the millions digit of 510957647?
0
What is the ten thousands digit of 971669502?
6
What is the units digit of 22545413?
3
What is the tens digit of 2383710384?
8
What is the ten thousands digit of 32484299?
8
What is the hundreds digit of 97563487?
4
What is the thousands digit of 2242065398?
5
What is the hundred millions digit of 301900643?
3
What is the ten thousands digit of 3221791792?
9
What is the hundred thousands digit of 160585163?
5
What is the hundred thousands digit of 25014025?
0
What is the tens digit of 7388724?
2
What is the tens digit of 1437188695?
9
What is the tens digit of 388328497?
9
What is the millions digit of 28027776?
8
What is the millions digit of 652241504?
2
What is the millions digit of 19496997?
9
What is the hundred thousands digit of 1762687803?
6
What is the ten thousands digit of 22836551?
3
What is the units digit of 55239894?
4
What is the units digit of 220503082?
2
What is the millions digit of 1795431199?
5
What is the units digit of 45221079?
9
What is the ten thousands digit of 1748707742?
0
What is the hundreds digit of 502733800?
8
What is the ten millions digit of 749447834?
4
What is the hundred thousands digit of 28865949?
8
What is the hundred thousands digit of 7885435057?
4
What is the ten millions digit of 81578438?
8
What is the hundred thousands digit of 78727488?
7
What is the ten thousands digit of 216642952?
4
What is the ten millions digit of 145064755?
4
What is the ten thousands digit of 7641930534?
3
What is the millions digit of 787951577?
7
What is the millions digit of 2180526919?
0
What is the ten millions digit of 24500177?
2
What is the hundred millions digit of 115582301?
1
What is the hundreds digit of 410137501?
5
What is the millions digit of 731602257?
1
What is the hundred millions digit of 1835781089?
8
What is the ten thousands digit of 174737192?
3
What is the billions digit of 1310786654?
1
What is the hundreds digit of 6454280556?
5
What is the millions digit of 3278679772?
8
What is the billions digit of 3235846831?
3
What is the ten millions digit of 7266239255?
6
What is the ten thousands digit of 1184846950?
4
What is the units digit of 2606850358?
8
What is the billions digit of 1711067253?
1
What is the hundred millions digit of 580275703?
5
What is the thousands digit of 3523867044?
7
What is the thousands digit of 84778006?
8
What is the units digit of 23391372?
2
What is the millions digit of 66426703?
6
What is the hundreds digit of 67284542?
5
What is the ten millions digit of 454767858?
5
What is the hundred thousands digit of 610968825?
9
What is the ten millions digit of 775309892?
7
What is the units digit of 420739827?
7
What is the hundred thousands digit of 451233981?
2
What is the ten millions digit of 171132368?
7
What is the tens digit of 91322231?
3
What is the thousands digit of 1230319100?
9
What is the millions digit of 2391440471?
1
What is the tens digit of 224518054?
5
What is the units digit of 5347992637?
7
What is the tens digit of 51640312?
1
What is the hundred millions digit of 5099375359?
0
What is the thousands digit of 93092870?
2
What is the tens digit of 13179671?
7
What is the units digit of 621551041?
1
What is the tens digit of 218555382?
8
What is the ten millions digit of 7368213520?
6
What is the thousands digit of 558892810?
2
What is the thousands digit of 1124734075?
4
What is the tens digit of 2169544?
4
What is the hundreds digit of 5603561?
5
What is the thousands digit of 25510685?
0
What is the units digit of 978017005?
5
What is the ten millions digit of 293006916?
9
What is the millions digit of 992909106?
2
What is the units digit of 91430405?
5
What is the ten millions digit of 560065618?
6
What is the ten millions digit of 80864732?
8
What is the thousands digit of 61259376?
9
What is the hundred millions digit of 147219292?
1
What is the hundred millions digit of 586778087?
5
What is the hundred thousands digit of 276767955?
7
What is the hundred millions digit of 498032782?
4
What is the ten thousands digit of 531502372?
0
What is the billions digit of 2467918102?
2
What is the ten thousands digit of 1553171700?
7
What is the ten thousands digit of 900405509?
0
What is the tens digit of 32953842?
4
What is the hundred millions digit of 2545367116?
5
What is the hundred thousands digit of 7542328630?
3
What is the hundred thousands digit of 174063347?
0
What is the thousands digit of 83536797?
6
What is the tens digit of 14466705?
0
What is the units digit of 45815079?
9
What is the tens digit of 1582078760?
6
What is the hundreds digit of 918252570?
5
What is the hundred millions digit of 407808607?
4
What is the tens digit of 48177923?
2
What is the units digit of 56307487?
7
What is the thousands digit of 1691937088?
7
What is the thousands digit of 2427999161?
9
What is the hundred thousands digit of 162192377?
1
What is the thousands digit of 217043963?
3
What is the ten thousands digit of 99763487?
6
What is the hundreds digit of 1582956786?
7
What is the millions digit of 17616093?
7
What is the millions digit of 1553939714?
3
What is the hundred thousands digit of 407882704?
8
What is the hundred millions digit of 2873978552?
8
What is the ten thousands digit of 13139111?
3
What is the hundreds digit of 96718793?
7
What is the ten thousands digit of 3945250?
4
What is the thousands digit of 9085904?
5
What is the tens digit of 2080038450?
5
What is the hundred thousands digit of 103836249?
8
What is the millions digit of 30221460?
0
What is the millions digit of 488376848?
8
What is the thousands digit of 37263592?
3
What is the tens digit of 693462299?
9
What is the hundred millions digit of 2973068912?
9
What is the tens digit of 29666621?
2
What is the hundreds digit of 181759205?
2
What is the units digit of 2321575314?
4
What is the units digit of 27401385?
5
What is the ten thousands digit of 32624503?
2
What is the hundreds digit of 28937276?
2
What is the tens digit of 26442318?
1
What is the tens digit of 295046289?
8
What is the ten thousands digit of 24750431?
5
What is the tens digit of 131399033?
3
What is the ten thousands digit of 1132109257?
0
What is the ten thousands digit of 2019580840?
8
What is the units digit of 34038902?
2
What is the millions digit of 29620363?
9
What is the ten thousands digit of 225267856?
6
What is the tens digit of 666313316?
1
What is the millions digit of 13356637?
3
What is the thousands digit of 1130723335?
3
What is the ten millions digit of 177015523?
7
What is the units digit of 43227479?
9
What is the hundreds digit of 207339028?
0
What is the units digit of 38343160?
0
What is the hundred thousands digit of 51568727?
5
What is the millions digit of 2476992266?
6
What is the ten millions digit of 488319664?
8
What is the hundred millions digit of 310594962?
3
What is the ten thousands digit of 40633873?
3
What is the ten thousands digit of 920817035?
1
What is the ten millions digit of 358908052?
5
What is the tens digit of 4288902245?
4
What is the tens digit of 59109919?
1
What is the billions digit of 2855227264?
2
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
0)/4
3/2
What is the value of (52/(-12)*3/(-2))/((-797)/(-1594))?
13
What is (3/(-2))/(8/20*15/(-16))?
4
Evaluate (-9)/15 - (-19)/5*2.
7
What is the value of ((-288)/(-108))/(20/(-105))?
-14
Calculate -20*108/135 + 754/47.
2/47
What is 1 - (-6 + 35 + -17)?
-11
What is 6/(-234)*6 - (-165)/(-1040)?
-5/16
What is the value of 9/(-6)*(-44)/55*-10?
-12
Evaluate (45/(-10))/((-36)/(-72)).
-9
Evaluate -3*14/(-6) - -40*70/(-112).
-18
(-156)/56 + ((-196)/(-7) - 25)
3/14
1000/(-400) - 1/(-4)*-14
-6
4/5 + ((-205758)/(-5390) - 39)
-2/77
What is the value of (-27)/(-20) - ((-1350)/(-125))/(-27)?
7/4
Evaluate 888/(-2442)*(-49)/4 - (-2 + 7).
-6/11
What is 9 - (-22)/(-99)*18?
5
Evaluate (-2)/54*(-165)/110*16.
8/9
What is the value of (4 + -7)/((-3)/14)?
14
Evaluate (-40 + 49)*2/4*2/9.
1
Calculate 29/(232/(-32)) - 156/(-40).
-1/10
162/(-1152)*-24*4/18
3/4
What is the value of (-958)/(-276) + 812/28014?
7/2
What is the value of (-11)/((-77)/(-301)) + 81?
38
Evaluate (0 - 6/(-84))/(2*4/(-8)).
-1/14
Calculate ((3 - 1) + 30)*436/(-872).
-16
What is (14/(-21))/(432/(-48))?
2/27
What is (2/15 + 0)/(15 + 736/(-48))?
-2/5
Evaluate (-8)/(-6)*(161460/208)/45.
23
Evaluate (2821/2275 + (-3)/75)*50/3.
20
(204/(-50) + 4/50)/(4 - -46)
-2/25
What is the value of -36*((-28)/140)/(8/(-30)*-3)?
9
Calculate (-84)/92 - (-7)/322*-4.
-1
(60/8)/(-5)*((-9)/(-216))/1
-1/16
Evaluate 14/88 - (-47)/517.
1/4
Evaluate (14 - 6) + (-9 - 65/117).
-14/9
Evaluate (-36)/(-24)*-4 - -13.
7
Evaluate (-1 - -2 - (-56)/(-42))*51/(-34).
1/2
Calculate (2/(-8))/((-8)/(-1360)*10/(-4)).
17
Calculate (-55)/(-402) + (-210)/(-7035).
1/6
Evaluate 56/(-775) - 122/(-3050).
-1/31
Calculate 9 - (14288/80)/19.
-2/5
Evaluate (87/42 - 2)*364/(-91).
-2/7
(-406)/6496*(-16)/6
1/6
Calculate (-90)/(-54)*(0 + (-27)/15).
-3
(72*(-30)/2880)/(1/24)
-18
Calculate 1/((-460)/(-75) - 6 - 29/105).
-7
Calculate (((-693)/22)/(-21))/((-135)/126).
-7/5
What is (3 + 0 - (-9 - 0)) + (0 - 6)?
6
What is the value of (44/(-3))/((-1390)/(-2085))?
-22
Calculate (-175)/(-200)*8/1.
7
(2/(-8))/(((-30)/171)/((-536)/201))
-19/5
(10/(-25) + 18/(-180))*(-32)/(-6)
-8/3
Calculate (1/2)/((-247)/(-1482)).
3
What is (-36)/(-14) - 15416/6888?
1/3
Evaluate (2/10 + 84/(-180))*(-141)/940.
1/25
Calculate -1*(1425/(-38))/(-25).
-3/2
(-24)/(16800/(-385)) - (-8)/(-10)
-1/4
Evaluate (-40)/(4960/(-93))*-12.
-9
What is the value of 608/180 + (-110)/33?
2/45
Evaluate 455/42 + -8 + 4/(-12).
5/2
Evaluate -60 + 50 + -13 - (-12)/4.
-20
Calculate 30/((-6*22/264)/((-2)/42)).
20/7
What is the value of (-1 - -20) + ((-9)/15 - (-1702)/(-230))?
11
What is -12 - (1 + (-135)/30)?
-17/2
Calculate 0 - 18 - (-4712)/266.
-2/7
What is the value of 41/((-1435)/105) + (-2 - 1) + -1?
-7
What is 1 + (-1)/3 + 1/(3/(-11))?
-3
Evaluate 15/20 - ((-696)/80)/((-18)/(-15)).
8
What is the value of -3 + -7 + (-1750)/(-49) + -28?
-16/7
Evaluate (-19)/513*-18 - (-48)/9.
6
What is (-25)/(-6)*((-81)/540 + (3 - 3))?
-5/8
Evaluate (-1468 - -1468)/(-1 + 1 + -1).
0
Evaluate 1612/(-93) - 48/18.
-20
Evaluate ((6/(-21))/(-1))/(32/(-28)).
-1/4
What is the value of (432/360)/(9/30)?
4
What is the value of (-3 - -3 - 26) + 15 + -4?
-15
Calculate 8/(-14) + 168/(-392).
-1
What is 24 + (-35 - 0/(-23))?
-11
Evaluate 1664/260 + (-208)/20.
-4
(-2 - (-22)/4)*(18 - 20)
-7
What is the value of 116/(-22) + 5 + (-26856)/990 + 26?
-7/5
What is (-5)/(15/9)*(74 - 75)?
3
What is the value of ((-1)/(-6))/(-4*(-8)/(-512))?
-8/3
Calculate (15 - (-242)/(-16))*(-5)/(-10).
-1/16
What is the value of 1*(-4)/(-6) + 8140/1110?
8
What is the value of (-273)/936 + (-2)/(-12)?
-1/8
Calculate -1*52*(330/(-504) - 38/399).
39
Evaluate 15 + ((-468)/13 - -8).
-13
Calculate ((-81)/18)/((-13)/(-39)*-45).
3/10
((-2)/(-10))/((-18)/(-60))*(-15 - 6)
-14
What is the value of 10/2 - (6 + 4 + -6) - -10?
11
Evaluate 85811/(-8608) - (-1)/(-32).
-10
Calculate (-7)/21 + -5*(-93)/1125.
2/25
What is (-3 - -2)*52/78?
-2/3
What is the value of 2829/575 + -5 - 277/(-25)?
11
What is (115/40 - (4 - 3)) + 7 + -9?
-1/8
What is (-609)/(-1160)*((-80)/(-28))/(-10)?
-3/20
Evaluate (-390)/(-264) + (-128)/176.
3/4
776/(-194) - (4 + (-1 - (3 + -4)))
-8
Calculate 4/((-80)/(-936)*9) + -6.
-4/5
16/32*(5 + (-105)/(-5))
13
Calculate 5/((-55)/(-143)) + (-31 - -31).
13
What is (-7)/(-154) - 38/(10032/(-8964))?
34
(-1)/(-23) - 12446/27048
-5/12
What is (14*1)/((-12)/240*-20)?
14
Calculate (-400)/2100*(-3)/2.
2/7
3/(-57) - 2332/(-12540)
2/15
Evaluate ((-6)/2 - (-3 - 330/(-75))) + 6.
8/5
Evaluate ((-8)/((-16)/18))/(23 - 22).
9
What is the value of (9/108*-2 + 0)/((-1)/(-16))?
-8/3
Evaluate 145/(-240) + ((-80)/6 - -14).
1/16
Calculate (228/72 - 4)/(28/(-12) + 2).
5/2
What is -3*16/10*(10 - 250/30)?
-8
What is the value of 2 + (-285)/45 + 5?
2/3
What is the value of (22/1045*19)/((-3)/90)?
-12
What is -33 + (-18 - -48) - (2 - (-183)/(-36))?
1/12
What is the value of (24/8)/((438/(-73))/(28 - 0))?
-14
Evaluate (-30)/117 + (-30)/(-90).
1/13
Calculate ((-122)/1281)/(2/14).
-2/3
Evaluate (-36)/(-2)*(-15)/45.
-6
What is (41/10 + -2)/(642/(-535))?
-7/4
100*(-15)/180 - -9
2/3
What is ((-4)/5)/(-2) - (-1722)/(-205)?
-8
What is the value of 2 - 15*((-43)/(-30) - (-260)/(-312))?
-7
(-2)/(-4) - (-62)/12*3
16
What is 32/16 - (-2 - 0) - -11?
15
((-120)/150)/(((-14)/(-15))/7)
-6
Calculate 16/(-14)*(-1491)/(-142).
-12
416/(-20280)*(-75)/(-60)
-1/39
-39*(0*6/18 - 1/(-3))
-13
-4 - (-7 - (-1 + -5)) - -10
7
(-2 - 52/(-11)) + ((-775)/31 - -23)
8/11
What is (12 - 17/2) + 6/(-12)?
3
What is 7*(-6)/(-42) - (-16)/((-256)/304)?
-18
What is ((-435)/(-116))/((189/(-36))/(-21))?
15
(48/(-32)*24)/((-27)/18)
24
What is (15 - (-735)/(-84))/((-4)/(-16))?
25
Calculate ((-8)/12)/(-12 - -9 - 481/(-156)).
-8
Evaluate (-3)/(-26)*(8/(-26))/((-378)/1638).
2/13
What is (-178)/(-890)*(1 + -2 + -49)?
-10
(14/(-6))/((-4074)/(-3492))
-2
Evaluate 35340/(-1102) + 76/1102.
-32
Calculate (-187 - -177) + (-9 - (-3 - 0/2)).
-16
What is ((-13)/((-1105)/34))/(16/(-25))?
-5/8
(-129)/(-282) - (-4)/94
1/2
Calculate ((-151)/1057)/((-1)/91).
13
What is the value of 8/12*72/64 + (-228)/48?
-4
What is the value of 6 - (76/627*11 - (-1)/(-3))?
5
Evaluate 9/(-81)*(-18)/8.
1/4
Calculate 1*(10 + (-15)/1 + -9).
-14
Evaluate ((-1470)/(-20) - 68)*(1 - -3).
22
(12/(-15))/((1900/8075)/((-10)/(-1)))
-34
227/(-299) + 1 - 1204/7826
2/23
Calculate (-5)/(-105) + (-12964)/588.
-22
((-1593)/(-135))/(-2 + 3) + -11
4/5
What is the value of -6*(460/(-30) - -14) - 11?
-3
What is the value of 1*19 + (-600030)/31527?
-1/31
What is the value of (-38)/(-266)*3372/30 - (-2)/(-35)?
16
Calculate (3 - -67)/5 - (-3 + (9 - 3)).
11
What is (4 - 540/130)*-13?
2
(1 - (-219)/27) + -9
1/9
What is (123 + -131)*(-3)/(-12)?
-2
What is the value of ((-104)/26)/((-10)/(-15))?
-6
((6/(-44))/(207/(-759)))/((-1)/4)
-2
(294 + -294)/((8/2)/(-2))
0
Calculate (-24)/(-10)*4*(-60)/48.
-12
What is the value of (((-1)/119*7)/(-3))/(1/(-6))?
-2/17
Calculate 15*-12*(-10)/75 + 0/294.
24
Calculate 28/24*608/9576.
2/27
Evaluate (0 - (-106)/(-132)) + ((-1199)/(-66) - 19).
-18/11
Evaluate (-62 + 40)*((-6)/22)/(6/4).
4
(-74)/(-14) - -10*(3/6 - 1)
2/7
(-106920)/73080 - 1/(-29)
-10/7
Calculate (-306)/21 + 49 + -35 + 58/77.
2/11
Calculate 90/2385 + (-2416)/(-3392).
3/4
What is (-3)/(-24) - 8493/48872?
-2/41
Evaluate (((-1040)/(-165))/26)/((-13)/((-234)/(-12))).
-4/11
-1 + (-18)/(-45) + 693/55
12
What is the value of (4/6 - (-527)/(-651)) + 32/77?
3/11
What is the value of (-4602)/(-270) - (-18 - -35)?
2/45
Evaluate -87*(-4)/756 + (-37)/(-333).
4/7
27 + -19 + (-760)/110
12/11
Calculate ((-1)/(-2))/((-21)/(-294)).
7
(-5)/(-120)*4 - ((-77)/42 - 4)
6
What is the value of (-44)/5*16*29/1856?
-11/5
What is the value of (226/(-16) + 13)*20/(-5)?
9/2
What is the value of -36 + (21 - (-8650)/575)?
1/23
Evaluate (3 + (-371)/14 - -20)*8/(-182).
2/13
(2/(-24))/((-129)/387)
1/4
Evaluate ((-77605)/12925 + 1*6)*-5.
1/47
Evaluate ((-408)/(-80))/((-33)/22)*-5.
17
(-27)/5 - 19/((-760)/16)
-5
What is the value of 303/(-404)*(-184)/(-6)?
-23
What is (31 + 1)/2*38/190?
16/5
Calculate 47/7 + (36 - 41) + -2.
-2/7
Evaluate 75/(-12)*132/55.
-15
What is the value of 72/8 - (-26 - 105825/(-3025))?
2/121
What is (5/2 - 0)*(-24 + (-1568)/(-80))?
-11
What is ((15 - 12) + 228/(-78))/((-1)/(-2))?
2/13
What is ((-253)/(-110))/(
|
{
"pile_set_name": "DM Mathematics"
}
|
21*p - 18. Let d(t) = -5*i(t) + 4*x(t). Is d(15) a composite number?
False
Let f(a) be the second derivative of a**5/20 - a**4/2 + a**3/6 - 3*a**2/2 + 2*a. Is f(6) a prime number?
True
Let n = 72 + 87. Is n a composite number?
True
Suppose 841 = 5*l + 331. Is (20/(-12))/((-2)/l) composite?
True
Suppose 5*d = -15, 2*a + a = -d + 9. Let l be 26/a - 2/4. Suppose -o + 3*i = -10, 0*i + l = -3*i. Is o a composite number?
True
Let t = 2050 + -1455. Suppose 4*n - n - t = -4*o, -2*o - 3*n = -305. Is o a prime number?
False
Suppose -5*r - 4*w + 0*w = -30, -2*w = r - 12. Suppose 0 = 4*i - 8, r*i = 5*d - 6 - 25. Is d prime?
True
Suppose 2193 = 3*u - 3*m - 6117, -3*m + 8316 = 3*u. Is u a composite number?
True
Suppose -2*a = 5*c - 1624, 770 - 2059 = -4*c - 5*a. Is c composite?
True
Let k(s) = -s**3 + 15*s**2 + 9*s + 7. Is k(15) a composite number?
True
Let c = 1927 - 1062. Is c a prime number?
False
Is 4/(-3) - 10150/(-30) a prime number?
True
Let u(n) = -4*n + 8*n**2 - 3*n**2 + 3 + n. Is u(5) a prime number?
True
Suppose 3*a = 2*a + 15. Suppose 2*u = -u + a. Suppose -u*n + 37 + 38 = 0. Is n a prime number?
False
Is ((-94)/6 - -3)/(6/(-117)) composite?
True
Suppose q + 0*q = 5*k - 31, 5*k = -q + 19. Let j be 4/q*(13 + -1). Is 2/j + 189/4 a prime number?
True
Suppose 4*s + s + 10 = 0. Is (s/(-6))/(6/3654) prime?
False
Let z = 13 - 9. Suppose 16 = z*v - 8. Suppose -81 + v = -5*s. Is s a composite number?
True
Suppose h - 1 - 1 = 0, -3*p - 2*h + 2233 = 0. Is p composite?
False
Is (516/(-8))/(3/(-2)) composite?
False
Let s = -2 + 0. Let o = 21 + s. Is o composite?
False
Let h = 292 - 157. Let f(a) = 9*a - 5. Let z be f(7). Let d = h - z. Is d composite?
True
Suppose 1590 + 2033 = 3*t + 4*i, 0 = -3*t + i + 3598. Is t a composite number?
False
Let y = 37 + -52. Let u be 4*5/(y/(-12)). Is (1 - u)/((-3)/2) prime?
False
Is 134*(4 - (-10)/(-4)) composite?
True
Suppose 0*q = q - 789. Is q composite?
True
Let h = 5 - -27. Is (56/h)/((-2)/(-8)) a prime number?
True
Let h = -423 - -1960. Is h a composite number?
True
Suppose 0 + 6 = 3*x. Suppose 7*a = 2*a - 5*l + 115, x*l = a - 32. Is a composite?
True
Suppose 99 = 4*i - z, -113 - 6 = -4*i - 3*z. Let v = i - 12. Is v a composite number?
True
Let u(y) = 2*y**2 - 2*y - 7. Is u(-5) composite?
False
Let v be 9 + -7 - (0 - 2). Let w(g) be the third derivative of g**6/60 - g**5/12 - g**4/24 - g**3/6 + 2*g**2. Is w(v) prime?
True
Is (-2 - 1) + (-6)/9*-3333 prime?
False
Let t be (-2)/(6/33)*-1. Suppose -t - 11 = -b. Is b a prime number?
False
Let u = 5 + 0. Let q(o) = 3*o**2 - o - u + 4*o - o. Is q(-4) composite?
True
Is (-24104)/(-72) + (-4)/(-18) prime?
False
Suppose -v + 4 = -3. Suppose v*q - 3*q = 124. Is q a prime number?
True
Let v(j) = -j. Let a(p) = -52*p + 4. Let r(w) = -a(w) + 2*v(w). Is r(3) a prime number?
False
Suppose 5*p = 1941 - 36. Is p a prime number?
False
Is (4/(-6))/((-4)/354) a composite number?
False
Suppose -15 = -2*o - 3*o. Suppose 3*m + 2*m = -10, 2*k - 3*m - 4 = 0. Let p = k + o. Is p a composite number?
False
Suppose 0 = -3*c - 4*h - h + 13034, 5*c = 5*h + 21790. Is c composite?
True
Let d = -393 - 135. Is d/(-15) + (-1)/5 a prime number?
False
Is 568/12*(2 + 1) a prime number?
False
Let a = 26 + 20. Is a prime?
False
Let y(x) = -5*x**2 - 7*x + 7. Let q(w) = 4*w**2 + 6*w - 7. Let j(f) = -6*q(f) - 5*y(f). Suppose 2*m - 6 = m. Is j(m) a prime number?
True
Suppose x = n + 237, x = 2*n + 336 - 97. Is x prime?
False
Suppose r = 3*r - 14. Let g = 3 + r. Is g a composite number?
True
Let j(b) = 105*b + 8. Is j(3) composite?
True
Let d = -14 + 25. Suppose 2*v - 4*j = -9 - d, -25 = -v - 5*j. Suppose 4*q + q - 455 = v. Is q composite?
True
Let i be 5 + ((-4)/(-2))/(-2). Suppose -618 = -i*t + m, 4*t - 616 = 3*m - m. Is t composite?
True
Let g(v) = 2*v - 12. Let k be g(8). Suppose k*n = 2*b - 3*b + 45, 3*b = 2*n + 177. Is b a composite number?
True
Suppose 0 = -2*a - 3*p + 529, p + p = 3*a - 787. Is a a composite number?
False
Let p be 102/((-9)/(-6) + -1). Suppose 2*w + 2*w = p. Let m = -26 + w. Is m a prime number?
False
Suppose -5*h = -2*o - 3*h + 420, -5*o = 4*h - 1014. Is o a composite number?
True
Let q(h) = -11*h**3 + h**2 + 2*h + 1. Let g be q(-1). Suppose 6*r = g*r - 1965. Is r composite?
True
Let k(a) = 15*a**2 + 1 - 2*a**2 + 0*a**2. Is k(-2) composite?
False
Is ((-502)/(-4))/((-3)/(-6)) a composite number?
False
Let g be 112/3 - 4/(-6). Let z be (-2)/9 - g/(-9). Suppose -3*p = 2*k - 155, z*k + 383 - 143 = 4*p. Is p a prime number?
False
Suppose -z = -3*z + p + 446, -4*p = -3*z + 659. Suppose z = 3*h - 3*m, -m + 4*m = 6. Is h composite?
True
Let d(x) be the second derivative of 10*x**3/3 + 3*x**2 - 3*x. Is d(4) a composite number?
True
Suppose 0*n + 4 = -k - 2*n, 4*k - 4*n = 20. Suppose -p + 11 = 2*h + k*h, 4*h + 5*p = 7. Let x(j) = 5*j + 4. Is x(h) a composite number?
False
Let j = -4 - -6. Suppose -j*z - 70 = a - 235, 0 = 3*a + 2*z - 479. Is a composite?
False
Let k = -246 + 533. Is k a composite number?
True
Suppose -451 = -8*d + 1301. Is d composite?
True
Suppose 0 = -c + 6*c - 235. Is c composite?
False
Let n(p) = p**2 - p. Let k be n(-5). Suppose -f = k - 88. Is f composite?
True
Let b(c) = c - 1. Let m be b(1). Is m + -1 + (-76)/(-2) a prime number?
True
Let u be (17 - 18) + 3*1. Suppose 62 = 4*z - u*z. Is z composite?
False
Let o be (-4 - -7)*(-14)/(-6). Let j(a) = a**2 - 5*a - 1. Is j(o) composite?
False
Suppose u = -2 - 3. Let h be 2085/u*2/(-3). Suppose 4*a - h = -3*l - 29, -3*a - 386 = -5*l. Is l a composite number?
False
Let h = -7 - -564. Is h a prime number?
True
Let n(d) = -4*d + 27*d**2 + 7*d - 7*d + 2. Is n(3) composite?
False
Suppose n + 2*n = 3*i + 393, -234 = -2*n - 5*i. Is n a prime number?
True
Let c be 4*-6*(-125)/4. Suppose r + 3*r - c = -2*p, 4*r = -p + 367. Let a = p + -192. Is a a composite number?
False
Suppose -4*n - 4 = 3*k, 0 = -4*k + 5*n - 10*n - 6. Let l = k - -8. Suppose -o - l*p = -195, -3*p + 2*p = 2. Is o prime?
False
Let s be ((-3)/3)/(0 - -1). Suppose 5 = -5*k, 5*x - x = -4*k. Is (x/1 + -27)*s a composite number?
True
Let f(g) = 25*g - 13. Let m(d) = 6*d - 3. Let r(q) = -2*f(q) + 9*m(q). Let k be r(8). Let n = -12 + k. Is n a prime number?
True
Suppose t - 4*d = 35, -5*t + 2*d - 7*d = -250. Is t a composite number?
False
Suppose v + 49 = d, 2*d + 6*v - v - 84 = 0. Suppose -3*p - 4*a - d = 0, 5*p + 5*a = 3*a - 69. Let u = 44 - p. Is u composite?
True
Suppose -4*w - 90 + 1150 = 0. Is (0/3 + w)/1 a prime number?
False
Let d = 1183 + -174. Is d a prime number?
True
Let i be 5/(-15) + 22/3. Let j = 9 - i. Suppose 0 = j*o - 3*b - 32, -37 = -2*o - b + 3. Is o a prime number?
True
Let g(o) = o + 97. Is g(0) a prime number?
True
Let j = 510 + -272. Suppose -5*u + j = -327. Is u a composite number?
False
Suppose c = -m - 10, 9 = -3*c + 2*m - 1. Let d(j) = j**3 + 7*j**2 + 2*j + 10. Let l be d(-7). Is (0 + c/4)*l a composite number?
True
Suppose 0 = -i - 38 + 163. Suppose -2*h = -3*f + 79, -h + 3*h + i = 5*f. Is f a composite number?
False
Suppose 0*d = -a + 3*d + 18, 2*a - 1 = -d. Suppose -c = a - 14. Is c a prime number?
True
Let f(h) = -6*h - 5. Suppose -3*g - 13 = 2. Let r be f(g). Suppose -3*b = -r - 32. Is b a prime number?
True
Let j be 0/((2/1)/2). Let c = 7 - j. Let n = c - 0. Is n a prime number?
True
Let g be 1/(-1)*(-33 + 0). Suppose 0 = 3*a + 3*t - g, 46 = -0*a + 4*a + 3*t. Is a a composite number?
False
Suppose -5*f + 43 = -2. Suppose -y + 3 = -f. Let m = 11 + y. Is m a prime number?
True
Let w be 2539/3 + 16/24. Let z = -474 + w. Is z a prime number?
True
Let y be 7/(-1)*(-6)/(-7). Let h(k) = -k**2 - 13*k + 3. Let a be h(-13). Is 1*(-20)/y*a prime?
False
Let o(d) = 493*d**2 - 3*d - 1. Let g be o(-2). Suppose -3947 = -4*p + g. Is p composite?
False
Let r(j) = 1 + 5*j - 5*j + 17*j + 5*j. Is r(3) a prime number?
True
Let n be (6/9)/((-4)/(-78)). Let f = 68 - n. Is f prime?
False
Let r be (4/(-4))/((-2)/46). Let z = 10 + r. Is z prime?
False
Let o(l) = l + 4. Let m be o(-5). Let d(f) = -33*f**2 + 2*f + 1. Let h be d(m). Let j = h - -47. Is j a prime number?
True
Let q = 9 - -146. Is q a composite number?
True
Let p(n) = -2*n - 5*n - 18*n - 1 - 3*n. Is p(-4) composite?
True
Suppose 208 = 3*p - 3*y + 8*y, 0 = -5*y + 10. Let v = p + -35. Suppose -v = -4*n - 3*z
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Suppose -2 = s - 7. Suppose 0 = -s*r + 62 - 12. Suppose r*k - 78 = 9*k. What is the remainder when k is divided by 27?
24
Calculate the remainder when 1412 is divided by ((-214)/14)/((-461)/3227).
21
Let k = -5660 + 5701. Calculate the remainder when 895 is divided by k.
34
Let p(z) = z**3 + 21*z**2 - 23*z - 365. What is the remainder when 230 is divided by p(-21)?
112
Suppose -3*b - 25 = 5*x, -3*x + 7*x = 4*b - 20. Suppose b = 3*c - 6*c + 168. What is the remainder when c is divided by 6/7*14/1?
8
Let s be ((-38)/(-6))/(21/63). Suppose 4*t - 93 = s. Calculate the remainder when 139 is divided by t.
27
Suppose -4*y = 7*w - 2*w - 125, 2*y - 19 = -w. What is the remainder when w is divided by (-6 - -2) + 1 + 20?
12
Suppose 16430 = 5*f - 2*j, j + 9858 = 3*f - 4*j. What is the remainder when f is divided by 12?
10
Suppose -5*k + 57 = 3*m, 2*k - 2*m = -2*k + 50. Suppose 14*y - 800 = 376. What is the remainder when y is divided by k?
0
Let s(q) = 1352*q**3 - 38*q**2 + 32*q + 5. What is the remainder when s(1) is divided by 200?
151
Let g = 481 + -286. What is the remainder when (g/(-20) + 0)*(-5 - -1) is divided by 7?
4
Let z = 47 + 11. Calculate the remainder when z is divided by 0 + (39/21 + 1)/(18/252).
18
Suppose 5698 + 1394 = 12*x. Calculate the remainder when x is divided by (-44)/594 - 976/(-54).
15
Suppose -63 - 291 = 6*z. Let f = z - -62. Suppose f*w - 62 = g + 3*g, 3*w + 2*g = 68. Calculate the remainder when w is divided by 13.
9
Let n(d) = -3*d**3 + 2*d**2 - 7*d - 6. Let a(m) = -m**2 - 22*m - 100. Let o be a(-16). Calculate the remainder when n(o) is divided by 31.
29
Suppose -4*n + 10 = -6. Suppose 98 = 4*i - 2*a, -i + 2*i + n*a = 20. Let r(v) = -217*v + 221. Calculate the remainder when i is divided by r(1).
0
Let x be -4 + ((-1)/(3/(-6)) - 418). Let m = 165 + x. Let a = -11 - m. Calculate the remainder when a is divided by 35.
34
Let l = 186 + -350. Let w = -117 - l. Suppose 9*q + 819 = 891. What is the remainder when w is divided by q?
7
Suppose 0 = 5*d + 5*r - 15, -2*d - 2*r + 8 = 2*r. Let p = 46 - 44. Suppose d*s = 12 + p. Calculate the remainder when 25 is divided by s.
4
Let i be 40/180 + 3956/18. Let z = i + -175. What is the remainder when 89 is divided by z?
44
Let h(j) = -j**2 + 14*j + 15. Let m = -1 + 16. Let o be h(m). Let i(u) = u**3 - u + 56. Calculate the remainder when i(o) is divided by 12.
8
Let i be 37 - 45 - 10/1. Suppose 48 = -5*q - 117. Let h = i - q. What is the remainder when 53 is divided by h?
8
Suppose -3*m + 4 = -20. Let g = 171 + -147. Let n = 19 + g. Calculate the remainder when n is divided by m.
3
Suppose -5*p - 3*d + 34 = 0, -4*p = -0*p + 4*d - 32. Suppose 4*c + 90 = 3*f + p*c, -5*f - 3*c + 150 = 0. Calculate the remainder when 118 is divided by f.
28
Let g(u) be the third derivative of u**6/120 - 7*u**5/60 - 13*u**4/24 + 17*u**3/2 - 19*u**2 + u. What is the remainder when 163 is divided by g(8)?
9
Suppose 4*g + 55 = -25. Suppose -r - 7*p + 3*p = -21, -5*r = -p - 63. What is the remainder when r is divided by (1 + 0 + 7)*(-10)/g?
1
Suppose -92 = 29*o + 459. Calculate the remainder when 57 is divided by 2 + 0 + o/(-1).
15
Let q(s) = 180*s + 7704. Let f(g) = 37*g**2 - g + 1. Calculate the remainder when q(-42) is divided by f(1).
33
Let l = -36 + 49. Let i(k) = k**2 - 12*k - 26. Let p be i(l). Let r = 88 - p. What is the remainder when r is divided by 26?
23
Let a = 14712 + -14643. Calculate the remainder when 2356 is divided by a.
10
Suppose -3 = -3*r + 3. Suppose k = -r*k + 24. Suppose -m + k = m. What is the remainder when 12 is divided by m?
0
Let g = -5643 - -5711. Let t = 25 - 16. Calculate the remainder when g is divided by t.
5
Let n = -195 - -212. Suppose 3*p + 12 = -p, -829 = 4*r + 3*p. Let c = -143 - r. Calculate the remainder when c is divided by n.
11
Suppose -10*o + 2352 = 18*o. Suppose -2*s = -5*h - 49, -3*s + 3*h + h = -o. Calculate the remainder when 121 is divided by s.
25
Let u(t) = 13*t**2 - 3*t + 1. Let s(m) = 2*m**2 - 4*m + 3. Let x be s(2). Let i = 80688 + -80651. Calculate the remainder when u(x) is divided by i.
35
Suppose -3*z - 2 = -6 - 38. What is the remainder when 710 is divided by z?
10
Let b = 315 + -219. Let g = b - 77. Calculate the remainder when 31 is divided by g.
12
Let n(t) = -t**2 + 21*t - 31. Calculate the remainder when 1260 is divided by n(7).
54
Let r = -18171 + 18416. Calculate the remainder when 1707 is divided by r.
237
Suppose -1456 = 7*o - 6363. Let g = o - 660. What is the remainder when 93 is divided by g?
11
Let y = -128 - -147. Suppose 0 = -y*k + 3*k + 448. Suppose 0 = -6*f + f + 30. Calculate the remainder when k is divided by f.
4
Let a(h) = 486*h**2 - 152*h - 723. What is the remainder when a(-5) is divided by 230?
227
Let w(q) = 60*q - 192. Let d(f) = -f**2 + 54*f + 64. Let p be d(55). What is the remainder when w(p) is divided by 9?
6
Let m(q) = q**3 + 11*q**2 - 16*q + 17. Let z be 4/8*10 - 15. What is the remainder when m(z) is divided by 40?
37
Let c(f) = -5*f**2 + 10*f + 24. Let a be c(-6). Let l = a - -232. Calculate the remainder when 61 is divided by l.
13
Let g = 7685 - 7627. Calculate the remainder when 1030 is divided by g.
44
Suppose 2*d = d + 4. Suppose 101*f - 441 - 6831 = 0. What is the remainder when f is divided by (-2)/d - 204/(-8)?
22
Suppose 0 = -2*n + 50*s - 52*s + 880, 2*s - 1762 = -4*n. What is the remainder when n is divided by 116?
93
Suppose -g = -14 + 113. Suppose 5*u = -2*q - 705, -4*q = -29*u + 27*u - 258. Let p = g - u. What is the remainder when 116 is divided by p?
36
Let b(q) = q**3 + 47*q**2 - 265*q + 180. Calculate the remainder when b(-52) is divided by 36.
8
Suppose -4*r + 109 = -3*l + 8*l, 0 = -4*r + 2*l + 102. Let f = -50 + 70. What is the remainder when r is divided by f?
6
Let v be (-39)/(-4) + (-4 - (-17)/4). Let i(g) = 41*g**2 + 4*g - 7. What is the remainder when i(2) is divided by 3/(-2) - (-295)/v?
25
Let k(h) = -2*h - 5. Let q be k(-5). Let j = q - -2. Suppose f - j - 9 = 0. What is the remainder when f is divided by 6?
4
What is the remainder when 219 - (-12 + 1 + 18) - 4/2 is divided by 150?
60
Let b(a) = -23*a**2 - 16*a + 37. Let h = 19 + -13. Suppose -5*p = -2*w + 31, -4*w - 5*p = -h - 11. Calculate the remainder when b(0) is divided by w.
5
Suppose 104 = 249*r - 1639. What is the remainder when ((-12)/(-15))/((-4)/(-110)) is divided by r?
1
Let g be 54/6 - (5 + -2). Let w(a) = -22 - 7*a + 12*a + 26 + 7*a - a**2. What is the remainder when w(g) is divided by 14?
12
Let u = 12351 - 8208. Calculate the remainder when u is divided by 122.
117
Let d = -70 + 97. Calculate the remainder when 154 is divided by d.
19
Suppose 7*o + 3*d - 40 = 2*o, o + 4*d = 8. Suppose 66 - o = y. Suppose -95 = -3*j + y. What is the remainder when j is divided by 18?
15
Let f(z) = z**3 + 9*z**2 - 24*z + 14. Let c be 198/12 - 6/4. Suppose 4*q - c*q - 121 = 0. Calculate the remainder when f(q) is divided by 13.
10
Let k(u) = 36*u**2 + 80*u - 220. Let f be k(3). Let n be -10*(-5)/(25/14). Suppose 20*y = n*y - f. What is the remainder when 213 is divided by y?
41
Suppose -z + y + 3*y - 1 = 0, 5*y = 4*z - 40. Suppose 29 + 2 = 2*v - 5*j, 0 = 5*j - z. Let l = -19 - -110. What is the remainder when l is divided by v?
22
Suppose 0 = -3*q - 5*c - 97 + 163, 4*q + c - 71 = 0. Let k = 48 - 28. Let z = -13 + k. What is the remainder when q is divided by z?
3
Suppose 6*f - 31 = -f + 18. What is the remainder when 307 is divided by f?
6
Suppose 0 = 4*j + 5*v - 73, 29 = 74*j - 72*j + 5*v. Calculate the remainder when 206 is divided by j.
8
Suppose 40 = -3*a + 7. Let m = 28 + a. Calculate the remainder when -56*(-1)/(-4)*-6 is divided by m.
16
Suppose b = -5*h + 252, 5*h - 672 + 430 = 4*b. What is the remainder when 126 is divided by h?
26
Suppose -14*g = -11*g - 1605. Suppose -x - g = -6*x. What is the remainder when x is divided by 2/(1 + (-50)/54)?
26
Calculate the remainder when 12/7*50064/96 is divided by 295.
9
Suppose 3*c + 3 = 4*c. Suppose 18 = -4*j + 74. What is the remainder when j is divided by (c + (-36)/8)/((-3)/16)?
6
Let z be (-6 + 16/4)/(2/(-4)). Suppose 3*i = z*a + 800, 0 = -4*a + 22 - 6. Calculate the remainder when i is divided by 92.
88
Suppose 54 = 8*f - 10. Suppose f*l = 6*l + 372. Let z = l - 88. Calculate the rema
|
{
"pile_set_name": "DM Mathematics"
}
|
t of 20043880?
0
What is the hundred thousands digit of 169173?
1
What is the units digit of 204406?
6
What is the ten thousands digit of 455465?
5
What is the ten thousands digit of 7080684?
8
What is the tens digit of 76002?
0
What is the millions digit of 5719188?
5
What is the hundred thousands digit of 116926?
1
What is the hundred thousands digit of 6311050?
3
What is the hundred thousands digit of 883111?
8
What is the ten thousands digit of 12177018?
7
What is the ten thousands digit of 26426692?
2
What is the ten thousands digit of 351400?
5
What is the ten thousands digit of 12559255?
5
What is the ten thousands digit of 383555?
8
What is the hundreds digit of 278806?
8
What is the tens digit of 6482690?
9
What is the tens digit of 2016869?
6
What is the ten thousands digit of 441952?
4
What is the tens digit of 4873978?
7
What is the units digit of 50184?
4
What is the units digit of 2518541?
1
What is the ten thousands digit of 616268?
1
What is the ten millions digit of 10280547?
1
What is the millions digit of 9599631?
9
What is the units digit of 1117625?
5
What is the units digit of 1969630?
0
What is the units digit of 24489?
9
What is the tens digit of 2867737?
3
What is the tens digit of 6135666?
6
What is the hundreds digit of 1346324?
3
What is the ten thousands digit of 1464690?
6
What is the millions digit of 1021985?
1
What is the tens digit of 377098?
9
What is the tens digit of 1169235?
3
What is the thousands digit of 909876?
9
What is the ten thousands digit of 3402682?
0
What is the millions digit of 7073352?
7
What is the hundreds digit of 530615?
6
What is the thousands digit of 1784583?
4
What is the units digit of 357224?
4
What is the tens digit of 943221?
2
What is the units digit of 2834651?
1
What is the millions digit of 1202847?
1
What is the hundreds digit of 284595?
5
What is the tens digit of 703093?
9
What is the thousands digit of 1225893?
5
What is the hundred thousands digit of 8365778?
3
What is the thousands digit of 4260252?
0
What is the hundred thousands digit of 188295?
1
What is the tens digit of 16391516?
1
What is the tens digit of 5710218?
1
What is the tens digit of 118742?
4
What is the units digit of 3044181?
1
What is the millions digit of 4836407?
4
What is the thousands digit of 939091?
9
What is the ten thousands digit of 2521673?
2
What is the tens digit of 2258088?
8
What is the thousands digit of 7150474?
0
What is the hundreds digit of 360565?
5
What is the hundred thousands digit of 836309?
8
What is the hundreds digit of 1356829?
8
What is the ten millions digit of 10198862?
1
What is the ten thousands digit of 144363?
4
What is the units digit of 224820?
0
What is the ten thousands digit of 835539?
3
What is the units digit of 11785437?
7
What is the ten thousands digit of 688806?
8
What is the units digit of 469041?
1
What is the units digit of 85114?
4
What is the thousands digit of 14300830?
0
What is the hundreds digit of 1014385?
3
What is the hundreds digit of 68472?
4
What is the ten thousands digit of 1211619?
1
What is the hundred thousands digit of 843193?
8
What is the hundreds digit of 268471?
4
What is the units digit of 21068919?
9
What is the units digit of 8926746?
6
What is the hundreds digit of 310251?
2
What is the ten thousands digit of 631325?
3
What is the ten thousands digit of 3115529?
1
What is the thousands digit of 359681?
9
What is the ten thousands digit of 7207465?
0
What is the tens digit of 910753?
5
What is the ten thousands digit of 14652156?
5
What is the thousands digit of 9773725?
3
What is the tens digit of 3169625?
2
What is the hundreds digit of 3594463?
4
What is the tens digit of 4285217?
1
What is the hundred thousands digit of 215609?
2
What is the tens digit of 850137?
3
What is the units digit of 14202?
2
What is the ten thousands digit of 2322742?
2
What is the thousands digit of 284261?
4
What is the units digit of 1492728?
8
What is the thousands digit of 59867?
9
What is the thousands digit of 1424426?
4
What is the units digit of 274327?
7
What is the hundreds digit of 187412?
4
What is the thousands digit of 902254?
2
What is the tens digit of 7968794?
9
What is the tens digit of 23616?
1
What is the units digit of 367855?
5
What is the ten thousands digit of 1003039?
0
What is the ten thousands digit of 1115096?
1
What is the tens digit of 94052?
5
What is the units digit of 175632?
2
What is the ten thousands digit of 148504?
4
What is the ten thousands digit of 444482?
4
What is the hundreds digit of 19749741?
7
What is the tens digit of 5863776?
7
What is the ten thousands digit of 132930?
3
What is the units digit of 474296?
6
What is the tens digit of 141639?
3
What is the thousands digit of 41951?
1
What is the units digit of 4093503?
3
What is the hundred thousands digit of 3646884?
6
What is the hundreds digit of 1412669?
6
What is the thousands digit of 10129?
0
What is the millions digit of 6713117?
6
What is the millions digit of 11921241?
1
What is the ten thousands digit of 247820?
4
What is the units digit of 260090?
0
What is the ten thousands digit of 278665?
7
What is the ten thousands digit of 732175?
3
What is the ten thousands digit of 253491?
5
What is the hundred thousands digit of 5463545?
4
What is the tens digit of 150310?
1
What is the thousands digit of 8100455?
0
What is the units digit of 983775?
5
What is the thousands digit of 350712?
0
What is the thousands digit of 5788?
5
What is the tens digit of 1346711?
1
What is the units digit of 4514521?
1
What is the units digit of 13188?
8
What is the thousands digit of 989363?
9
What is the units digit of 171389?
9
What is the thousands digit of 541212?
1
What is the ten thousands digit of 1046654?
4
What is the tens digit of 351622?
2
What is the hundred thousands digit of 314519?
3
What is the hundred thousands digit of 837820?
8
What is the thousands digit of 878421?
8
What is the ten thousands digit of 392177?
9
What is the tens digit of 4085973?
7
What is the millions digit of 2720628?
2
What is the millions digit of 6405242?
6
What is the hundreds digit of 2954055?
0
What is the hundreds digit of 815653?
6
What is the hundreds digit of 3050127?
1
What is the ten thousands digit of 11660103?
6
What is the thousands digit of 5381349?
1
What is the hundreds digit of 9564092?
0
What is the ten thousands digit of 8024004?
2
What is the units digit of 984217?
7
What is the ten thousands digit of 1120150?
2
What is the hundred thousands digit of 427847?
4
What is the tens digit of 294380?
8
What is the thousands digit of 55226?
5
What is the thousands digit of 78189?
8
What is the hundreds digit of 2003?
0
What is the hundred thousands digit of 246354?
2
What is the hundred thousands digit of 144246?
1
What is the ten thousands digit of 3831213?
3
What is the ten thousands digit of 411004?
1
What is the hundred thousands digit of 156615?
1
What is the hundred thousands digit of 31731949?
7
What is the ten thousands digit of 882264?
8
What is the millions digit of 17824682?
7
What is the tens digit of 1699663?
6
What is the tens digit of 3186148?
4
What is the units digit of 9551084?
4
What is the units digit of 2190659?
9
What is the hundred thousands digit of 10937045?
9
What is the tens digit of 648281?
8
What is the tens digit of 24561?
6
What is the ten thousands digit of 266460?
6
What is the hundreds digit of 47124?
1
What is the thousands digit of 2961712?
1
What is the hundreds digit of 199283?
2
What is the hundreds digit of 119449?
4
What is the ten thousands digit of 576225?
7
What is the tens digit of 707315?
1
What is the millions digit of 3807572?
3
What is the units digit of 1794185?
5
What is the hundreds digit of 474584?
5
What is the thousands digit of 81079?
1
What is the millions digit of 5595822?
5
What is the thousands digit of 799458?
9
What is the hundred thousands digit of 131539?
1
What is the ten thousands digit of 299533?
9
What is the ten thousands digit of 116202?
1
What is the ten thousands digit of 427479?
2
What is the units digit of 80076?
6
What is the hundreds digit of 1114691?
6
What is the thousands digit of 1528700?
8
What is the ten thousands digit of 2608797?
0
What is the units digit of 2005713?
3
What
|
{
"pile_set_name": "DM Mathematics"
}
|
(z*z/(z**(-2/61)/z))/z)/z assuming z is positive.
z**(-1578353/671)
Simplify a*a*a**(-2/11)*a**4*a*a**(-7)*a*a**(3/2)*(a**(-5/3)*a**(-2/5))**28 assuming a is positive.
a**(-18331/330)
Simplify (((r/r**(-2/17))/(r/(((r*r*r**(-1/2)*r)/r*r)/r*r)))/(r**(-2))**(-20))/((r**(-1/7)*r*r**(2/9))/(r**(3/10)/r**(7/2))) assuming r is positive.
r**(-446197/10710)
Simplify (f/(f**2*f)*f**(-5))**(-24)*(f**(1/7)/((f*f**(-4/5))/f))/(f/(f*(f**(-1/2)*f)/f*f)*f)**(-1/4) assuming f is positive.
f**(47339/280)
Simplify b*b/b**23*b*b*b**(1/32)*(b/(b/b**(11/9)))**(1/53) assuming b is positive.
b**(-289187/15264)
Simplify ((a*a*a**3/a)/(a/(a**(-4/3)/a)))**(6/17)*(a**(-2/3)*((a/(a**(-3)*a))/a)/a)**(-37) assuming a is positive.
a**(-617/51)
Simplify (v**1)**(-1/73)/(v**2)**(-16)*((v**(-1))**5)**(-1/2) assuming v is positive.
v**(5035/146)
Simplify ((f*f**(-5/2)*f*f*f**(-1/4))/(f*f/(f*f*f**(-4/5)/f)*f**7*f))/((f**(2/7))**(-50)*(f*f**(-1))**10) assuming f is positive.
f**(663/140)
Simplify w*w*w**(1/10)*w*w/w**(-2/27)*(w**(-2))**(-10)*(w**(-2))**(-36)/((w**8/w)/(w*w**6)) assuming w is positive.
w**(25967/270)
Simplify ((z**(1/3))**(-1/28))**19*((z/(z**5*z))/((z/(z*z/(z/z**(1/6))*z))/z*z))**(-2/87) assuming z is positive.
z**(-1009/7308)
Simplify (v*v**(32/3)*v*v)**8/(v*v**(-5)*((v/((v*v**(-35)/v)/v))/v)/v) assuming v is positive.
v**(235/3)
Simplify ((j/(j**0/j))**(-2/39)/((j/(j/(j/j**(1/5))*j))/j**(-3/2)))/(((j/j**(-2/5))/(j**1*j))/(j*j*(j*j**(2/5)*j)/j)**24) assuming j is positive.
j**(31511/390)
Simplify ((j**(-2))**(-1/12))**(-34)*(j*j*j**(1/3))/((j*j**(-4)*j*j)/j*j)*((j*j/(j*j*j**1*j*j))/j)**(4/7) assuming j is positive.
j**(-97/21)
Simplify ((f/(f**(-1/12)/f))/(f**(-1/3)*f*f))**(-40)*((f/(f**2/f))**(-5/6))**15 assuming f is positive.
f**(-50/3)
Simplify ((f/f**5)/(f*f**(-1/5)))/(f*(f/(f*f**(-2/7)))/f*f**(-5))*(((f/(f/f**0*f))/f)**(-2/61))**(-16) assuming f is positive.
f**(-2423/2135)
Simplify (x*x/(x*x**(-2/13)*x*x)*x*(x*x**(-5)/x)/x*x)**(-40)*(x**(-1))**(-3/29)*x**(-4/5)*x*x**(-5) assuming x is positive.
x**(356547/1885)
Simplify (((((w/(w/(w/(w*(w*w/(w*w**(-2/7)/w))/w*w)))*w)/w)/(w/((w*w*w**18*w)/w)))**(4/9))**29)**(-1/15) assuming w is positive.
w**(-1508/105)
Simplify ((r*r*r**(-1))**(-8/9))**0*(r**(-3)/r*(r**4*r)/r)/((r*r**0/r)/r)**(17/4) assuming r is positive.
r**(17/4)
Simplify (((i/i**(-19))/(i*i**(-6)))/(i**6*i)**28)**(-44) assuming i is positive.
i**7524
Simplify (((c**(5/4)*c)/c)/c**(-25)*(c**26*c*c)/c*c*c/c**(-1)*c*c)**37 assuming c is positive.
c**(8621/4)
Simplify (o/o**(2/11))/o*o/(o*o**5)*o**(2/13)*o/o**(2/7)*((o/o**(-1/3))/((o*o*o**(-5))/o))**(-19) assuming o is positive.
o**(-317258/3003)
Simplify (o*o/o**26*o*o*o*o**(-17)*(o/(o*o**(-2)))**(-1/5))**(-50) assuming o is positive.
o**1920
Simplify (p*p**(2/3))**(1/42)*(p**7*p)/((p/(p*p**(-6)/p))/p)*(p**(-4/3)/p**(3/2))**(2/35) assuming p is positive.
p**(169/90)
Simplify ((s*s*s*s*s/s**5*s*s*s**(-2/11))/(s**(1/3)/s*s**(-2/11)))/((s**(-6)*s*s**(-3/7))/(s/s**(2/7)*s/(s/((s/s**(-7))/s)))) assuming s is positive.
s**(332/21)
Simplify ((r**(2/33)*r)/(r/((r*r*r**23)/r)))/(r**(-18)*r**(-34)) assuming r is positive.
r**(2510/33)
Simplify (((u**(7/3)/u*u/u**(-10))/(u**16/u**(9/4)))**12)**(1/44) assuming u is positive.
u**(-17/44)
Simplify ((y**1)**(-18))**(9/2)*((y*(y/(y**(-1)/y))/y)/y**(2/11))**(4/31) assuming y is positive.
y**(-887/11)
Simplify ((x*x**(-2/15))**(2/81)*(x*x*x*x**(1/7))**22)**(-2/9) assuming x is positive.
x**(-1176484/76545)
Simplify ((b*b**0*b*b)**(19/6)*b**(-8/3)*b**(2/19))**(11/3) assuming b is positive.
b**(8701/342)
Simplify ((r**2)**(-5)/(r**(5/3)/(r*(r*r/((r/(r*r**(3/4))*r)/r*r))/r)))/((r*(r**0*r)/r*r)**(-2/57))**(-1/5) assuming r is positive.
r**(-11321/1140)
Simplify ((j**(-4)/j)/j**(-2)*(j/(j/(j*j**(-2/15))))/(j*(j/((j*j**(-10))/j)*j)/j*j))**14 assuming j is positive.
j**(-3178/15)
Simplify (r**(-1)/r)**(-47)/((r/r**(-15/8))/r*r*r*r**13) assuming r is positive.
r**(617/8)
Simplify (v**(-2)/v**1)**7/(v**5/v*v/v**(-2)*v)**7 assuming v is positive.
v**(-77)
Simplify u**(-1/2)/u*u*u**(2/3)*(u/u**1)**(18/13)*(u*(u/(u*u/((u**(1/4)/u)/u)*u*u))/u)**(-11/4)/(u**(-1/4)/u)**(2/81) assuming u is positive.
u**(17185/1296)
Simplify (r**(-6/5)/(r**(3/37)*r)*r*r**24*r**(-3/11))**6 assuming r is positive.
r**(274068/2035)
Simplify (i*(i/i**(-3/11))/i*i**(-2/15)/i*(i/i**(2/7))**(1/32))**(2/123) assuming i is positive.
i**(5977/2273040)
Simplify ((((z/z**(2/3)*z)/z)/z*z**(1/4)/z)/(z**(-4/3)/(z**0/z*z)))/((z*z**(1/5))/(z/(z**(2/5)/z)*z))**(1/10) assuming z is positive.
z**(17/300)
Simplify (v**2/v**(1/3))**46/(((v/(v**(1/2)*v))/v**(-2/5))/(v**(2/9)*v*v/(v*v**(4/5)/v*v))) assuming v is positive.
v**(6947/90)
Simplify ((t*(t*t**(-1/3)*t)/t)**38/(t/t**(-1/3)*t*t**(2/23)*t))**(-1/32) assuming t is positive.
t**(-689/368)
Simplify (((x**(2/23)*x)/(x/x**15))/((x/(x*x*x*x/(x*x**3*x)))/(x*x**(1/12)*x)))**(-5/3) assuming x is positive.
x**(-20935/828)
Simplify (j**(2/9)*j**(-4/3)/j)/(j*j**(-3)*j**2)*(j**(-1)/j*j)**(-43)/(j**0)**(-6) assuming j is positive.
j**(368/9)
Simplify (b**(1/5)*b/((((((b*(b*b**(-2/7)/b)/b)/b)/b*b)/b)/b)/b))**22*(((b/b**3*b*b)/b)/b**(-5))/((b/(b*b*b**(-2/17))*b*b)/b**(-1/2)) assuming b is positive.
b**(146451/1190)
Simplify ((z**(4/9))**(-1/7)*(z**4)**(2/11))**(-1/24) assuming z is positive.
z**(-115/4158)
Simplify ((r**(2/81)*((r*r**(-4/5))/r)/r)/(r**(-2)*r)**4)**(7/9) assuming r is positive.
r**(6307/3645)
Simplify ((k*k**(1/2))**38)**(20/9)/(((k/k**1)/k)/k**(-5)*k**(-2/5)*k/(k*k/(k**3*k))) assuming k is positive.
k**(1801/15)
Simplify ((o**(2/5))**(-1/75)*(o**(-4))**22)**(1/11) assuming o is positive.
o**(-33002/4125)
Simplify (((w**(-8/9)/w)/w*w/((w/w**(2/31))/w))**21)**(-17) assuming w is positive.
w**(60571/93)
Simplify (i**(-2)/(i**(-2)/i))**44/(((i*i**(2/7))/i)**2*i**2/(i**(1/3)/i)) assuming i is positive.
i**(856/21)
Simplify ((((n*n*n**(4/3)*n*n)/n*n/(n**(2/11)/n))**(-27))**42)**(-4/5) assuming n is positive.
n**(306936/55)
Simplify ((k*k**(2/11)*k*k*(k*(k/(k/(k/k**(-1/6))))/k)/k)/(k**(2/7)*k)**(-27))/((k*k**(-1/2))**(1/4)/((k**(-2/3)*k)/(k**(-1/10)/k))) assuming k is positive.
k**(121263/3080)
Simplify w**(-1/4)*w**5*w*w/(w**(1/3)/w)*w*w**(-3)*w*(w**(2/7)*w/(w**(-1/5)/w)*w)**(-2/47) assuming w is positive.
w**(123737/19740)
Simplify (x**(-10)/x**8*x*(((x/((x*x/(x**(-1/16)/x))/x))/x)/x)/x*(x*x**14/x)/x)**(5/4) assuming x is positive.
x**(-645/64)
Simplify ((r*r/(r/r**4)*r*r)**(-2/19)/(((((r*r**(-33)*r)/r*r)/r)/r)/r*r**(-10)))**(-2/47) assuming r is positive.
r**(-1644/893)
Simplify ((b**(-5/2))**(-12)*(b/(b*b/((b**(-1/16)*b*b)/b)))**(18/11))**(-4/5) assuming b is positive.
b**(-2631/110)
Simplify (i**1)**10*i*i**(-2/21)*i**(1/6)*((i*i**6)/i*i*i**(2/7))/(i**2/(i/i**(-3))) assuming i is positive.
i**(285/14)
Simplify ((h/h**(-2/25))/(h**(1/13)/h))**(3/4)/(h**(-1/5)/h**(-1/4)*(h*h*h/h**(-4)*h)/h**(-2/3)) assuming h is positive.
h**(-7034/975)
Simplify (s/s**(1/70)*s*s*s/(s/(s/s**40)*s*s)*s)/(s**(3/31)*(((s*s/(s*s*s*s**16))/s)/s)/s*s) assuming s is positive.
s**(-39301/2170)
Simplify ((r**(-4/7)/r*r*(((r/(r/(r*r/r**8)))/r)/r)/r)/(((r/(r/r**(-15)))/r)/r**(-5/2)))**14 assuming r is positive.
r**55
Simplify (f/(f/(f/(f/(f/f**(-2/39)))))*f)/(f/(f/f**(-37)))*(f/((f/(f/f**(1/12)))/f))/(f*f/f**(1/2)) assuming f is positive.
f**(6157/156)
Simplify ((i*(i*i/(i*i/(i*i**2/i))*i)/i)**44)**(-46)/(i/i**(-4/5)*i/i**(1/4)*i*i**(-5)/(i/((i/(i/(i**(1/4)/i)*i)*i)/i)*i)) assuming i is positive.
i**(-30334/5)
Simplify ((q/(q**(-9/10)*q)*q**27)/(q/(q/(q/(q/((q**(3/14)/q)/q))))*q*(q**(-7)*q)/q))**(-23) assuming q is positive.
q**(-28727/35)
Simplify ((s**(-1))**(-2/121))**(5/2)/((s**0/((s**(-7)*s*s*s)/s))/(s**(-1/4))**(-29)) assuming s is positive.
s**(1109/484)
Simplify (((q*q/((q*q**(-2/7))/q*q))/q**0*(q**0*q)**35)**(-36))**(-5) assuming q is positive.
q**(45720/7)
Simplify ((f**(2/55)/(f/f**(-11/2)*f*f))/((f*f*f**(-7/3))/(f**(1/21)/f)))**48 assuming f is positive.
f**(-167848/385)
Simplify ((x**(-7))**31*x/((x*(x/x**(-10/7))/x*x*x)/x)*x*(x*x*x**(-3/10))/x)**(13/7) assuming x is positive.
x**(-198133/490)
Simplify w*w**(2/83)*(w/w**(2/29))/w*w**(-48)/(w**(3/43)/w) assuming w is positive.
w**(-4772911/103501)
Simplify r*r**37*(r/r**(3/20))/r*(r**(-37)*r)**(-7/9) assuming r is positive.
r**(1317/2
|
{
"pile_set_name": "DM Mathematics"
}
|
r when 2951157 is divided by 737788?
5
Calculate the remainder when 50672322 is divided by 22.
8
Calculate the remainder when 1126827 is divided by 30453.
66
Calculate the remainder when 130395 is divided by 8684.
135
What is the remainder when 26684974 is divided by 157?
155
Calculate the remainder when 4757830 is divided by 4757830.
0
What is the remainder when 2584699 is divided by 192?
187
What is the remainder when 10723903 is divided by 16?
15
What is the remainder when 271966 is divided by 135975?
16
What is the remainder when 13021 is divided by 345?
256
Calculate the remainder when 4074109 is divided by 4074079.
30
Calculate the remainder when 134164 is divided by 3946.
0
What is the remainder when 26240224 is divided by 102?
10
Calculate the remainder when 3413924 is divided by 322.
80
Calculate the remainder when 7510360 is divided by 18590.
0
What is the remainder when 78963 is divided by 6050?
313
What is the remainder when 2643459 is divided by 210?
189
Calculate the remainder when 2170999 is divided by 5308.
27
What is the remainder when 1238072 is divided by 206338?
44
What is the remainder when 14538038 is divided by 148?
146
What is the remainder when 987552 is divided by 762?
0
Calculate the remainder when 6083603 is divided by 103.
11
What is the remainder when 253191 is divided by 300?
291
What is the remainder when 3010525 is divided by 840?
805
Calculate the remainder when 2147306 is divided by 174.
146
Calculate the remainder when 13414523 is divided by 1916358.
17
What is the remainder when 34422 is divided by 33832?
590
Calculate the remainder when 50379573 is divided by 2518978.
13
What is the remainder when 185993657 is divided by 9?
8
Calculate the remainder when 7001997 is divided by 200.
197
What is the remainder when 146684 is divided by 5625?
434
Calculate the remainder when 467560454 is divided by 24.
14
What is the remainder when 3719630 is divided by 1390?
1380
What is the remainder when 532460 is divided by 1202?
1176
Calculate the remainder when 107341184 is divided by 431089.
23
Calculate the remainder when 763624 is divided by 254540.
4
Calculate the remainder when 25788 is divided by 58.
36
What is the remainder when 328642 is divided by 277?
120
What is the remainder when 6917510 is divided by 19?
9
What is the remainder when 7050789 is divided by 22?
9
What is the remainder when 88003 is divided by 3656?
259
What is the remainder when 4864916 is divided by 286171?
9
Calculate the remainder when 763208 is divided by 7539.
1769
What is the remainder when 7354125 is divided by 3703?
3670
Calculate the remainder when 98766 is divided by 331.
128
Calculate the remainder when 24299151 is divided by 82.
9
Calculate the remainder when 15540213 is divided by 374.
139
Calculate the remainder when 182503 is divided by 1332.
19
Calculate the remainder when 173234453 is divided by 28724.
9
What is the remainder when 1682462 is divided by 55?
12
What is the remainder when 22390843 is divided by 576?
571
Calculate the remainder when 31753286 is divided by 310.
296
Calculate the remainder when 121403 is divided by 408.
227
Calculate the remainder when 1159896 is divided by 11484.
12
Calculate the remainder when 87595 is divided by 21888.
43
What is the remainder when 10982430 is divided by 1503?
9
Calculate the remainder when 16324231 is divided by 5.
1
What is the remainder when 27042 is divided by 4501?
36
Calculate the remainder when 461097 is divided by 5067.
0
Calculate the remainder when 244067 is divided by 1807.
122
Calculate the remainder when 160979 is divided by 1845.
464
What is the remainder when 4499813 is divided by 298?
13
What is the remainder when 767040 is divided by 735?
435
Calculate the remainder when 209815 is divided by 176.
23
What is the remainder when 6195561 is divided by 872?
1
What is the remainder when 84057 is divided by 312?
129
What is the remainder when 108954 is divided by 1101?
1056
Calculate the remainder when 707427 is divided by 707417.
10
What is the remainder when 224200183 is divided by 706?
705
What is the remainder when 9349768 is divided by 61?
54
What is the remainder when 361882 is divided by 20102?
46
Calculate the remainder when 134785 is divided by 67329.
127
Calculate the remainder when 128445881 is divided by 71.
65
Calculate the remainder when 3009866 is divided by 3286.
3176
Calculate the remainder when 6664358 is divided by 5770.
8
Calculate the remainder when 79259 is divided by 6599.
71
What is the remainder when 34612412 is divided by 308?
296
Calculate the remainder when 3255067 is divided by 92995.
242
Calculate the remainder when 71407 is divided by 71346.
61
What is the remainder when 672728 is divided by 444?
68
Calculate the remainder when 449022 is divided by 64144.
14
What is the remainder when 965573 is divided by 321844?
41
What is the remainder when 6097150 is divided by 91?
59
What is the remainder when 20428 is divided by 2813?
737
What is the remainder when 11323310 is divided by 1313?
1311
Calculate the remainder when 4364822 is divided by 674.
672
Calculate the remainder when 3131934 is divided by 260992.
30
Calculate the remainder when 110168 is divided by 153.
8
Calculate the remainder when 8888232 is divided by 37189.
61
What is the remainder when 2817587 is divided by 3307?
23
Calculate the remainder when 4683191 is divided by 870.
851
What is the remainder when 1486933 is divided by 1909?
1731
Calculate the remainder when 7127835 is divided by 3563851.
133
What is the remainder when 130895311 is divided by 10?
1
Calculate the remainder when 1957656 is divided by 652437.
345
Calculate the remainder when 147473 is divided by 49036.
365
What is the remainder when 4924446 is divided by 699?
690
Calculate the remainder when 63616 is divided by 20925.
841
Calculate the remainder when 65424808 is divided by 254.
250
Calculate the remainder when 299029 is divided by 4046.
3671
Calculate the remainder when 493566 is divided by 1147.
356
Calculate the remainder when 8905757 is divided by 4452874.
9
What is the remainder when 3084373 is divided by 154209?
193
Calculate the remainder when 15448 is divided by 579.
394
What is the remainder when 56094 is divided by 55794?
300
What is the remainder when 251953 is divided by 133?
51
Calculate the remainder when 5107752 is divided by 65484.
0
Calculate the remainder when 28702932 is divided by 1742.
1740
Calculate the remainder when 1036969 is divided by 1737.
1717
What is the remainder when 41652 is divided by 41619?
33
Calculate the remainder when 183835 is divided by 3011.
164
Calculate the remainder when 9180936 is divided by 286901.
104
What is the remainder when 10939096 is divided by 432?
424
What is the remainder when 3922000 is divided by 403?
4
Calculate the remainder when 407494 is divided by 8617.
2495
Calculate the remainder when 238133 is divided by 8138.
2131
What is the remainder when 582006 is divided by 511?
488
What is the remainder when 392400967 is divided by 277?
274
What is the remainder when 1071172 is divided by 203?
144
Calculate the remainder when 100084 is divided by 12182.
2628
Calculate the remainder when 306766 is divided by 5.
1
Calculate the remainder when 5107012 is divided by 22.
20
Calculate the remainder when 180538656 is divided by 5481.
5478
Calculate the remainder when 518385 is divided by 74021.
238
What is the remainder when 2697337 is divided by 59?
34
What is the remainder when 102976 is divided by 551?
490
What is the remainder when 992479 is divided by 43149?
52
What is the remainder when 167052 is divided by 785?
632
Calculate the remainder when 11406480 is divided by 112935.
45
What is the remainder when 376911 is divided by 125619?
54
What is the remainder when 4168253 is divided by 2790?
2783
What is the remainder when 10869231 is divided by 2113?
2072
What is the remainder when 21545129 is divided by 20364?
17
What is the remainder when 331065 is divided by 269?
195
Calculate the remainder when 83790 is divided by 1423.
1256
Calculate the remainder when 13048985 is divided by 10283.
10141
Calculate the remainder when 8656078 is divided by 21268.
2
Calculate the remainder when 52590 is divided by 549.
435
What is the remainder when 3751230 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
0*t**2 - 2*t**2 + 3 as b*t**3 + u*t + v + a*t**2 + x*t**4 and give u.
1
Express (0 + 2*r + 0 + (2*r + r - 4*r)*(-1 - 8 - 8))*(-41*r**2 - 5*r**2 - r**2) + (4*r - 2*r - r)*(3 + r**2 - 3) as d + n*r**3 + z*r**2 + j*r and give n.
-892
Rearrange -2*y - 5*y + 3*y + (7 + 1 - 2 + (0 + 1 + 0)*(-2 + 2 - 1))*(-169 + 172 - 13*y + 47*y) to f*y + k and give k.
15
Rearrange (-2*p - 3*p + 7*p)*(-6 + 2 - 2)*(2324 - 396 + 4281) to the form t + k*p and give k.
-74508
Rearrange -84481*q + 2*q**2 - 18*q**2 + 83895*q to the form y*q + f*q**2 + s and give f.
-16
Express -17*i**3 + 2522*i - 2522*i + (-i**2 + 0*i**2 - i**2)*(-217 + 217 + 30*i) as d*i**2 + q*i + a*i**3 + n and give a.
-77
Express -11*u**4 - 3*u + 126 + u**2 - 131 + u**3 + 18*u**4 + 21*u**4 + 0*u**3 in the form z*u**2 + w + m*u**4 + b*u**3 + q*u and give q.
-3
Express (j - 4*j + 2*j)*(j**2 - 2*j + 2*j)*(2814 + 1375 + 2176) in the form d*j + i*j**2 + w + z*j**3 and give z.
-6365
Rearrange 1937 - 96*y - 52*y + 146*y to the form n + u*y and give n.
1937
Rearrange 1 + 3 - 4 + 3604*b**2 - 3115*b + 3114*b to the form y*b**2 + m*b + g and give m.
-1
Rearrange 18*w - 9665 + 4*w + 19333 + 250*w**2 - 9668 to the form s*w + b + d*w**2 and give s.
22
Rearrange n**3 + 3*n - 3*n + (1822 + 387*n**2 - 3638 + 1820 + 2*n)*(4 - 4 + 2*n) to the form c*n + t*n**2 + g + b*n**3 and give g.
0
Rearrange 3*d**2 - 2*d**3 + 1905 + 5*d - 2297 + 3*d**4 - 3*d - 4*d**4 to the form h*d + k*d**3 + z*d**4 + s + c*d**2 and give z.
-1
Rearrange (-247*m + 656*m + 150*m + 988*m + 1183*m)*(23*m - 23*m + 4*m**3) to r*m**4 + d*m**2 + y*m**3 + f + h*m and give r.
10920
Express -4*y**4 - 6841*y + 9*y**3 - 9 + 2*y**4 + 0*y**2 + 6842*y - y**2 as g + o*y**2 + c*y**4 + x*y + r*y**3 and give c.
-2
Rearrange (-3381 + 2471 + 1765)*(2*w**4 + w**4 - 4*w**4) - 4*w**4 - 3 + 3 to the form a*w**4 + m*w + i + p*w**2 + q*w**3 and give p.
0
Rearrange -4 + 17*h - 25*h + 11*h - 5 + 7 - 18*h**3 + 6*h**4 to c + m*h**4 + f*h**2 + u*h**3 + k*h and give c.
-2
Express -4297*m**2 - 3 + 2 - 148*m + 4295*m**2 in the form w + d*m**2 + h*m and give w.
-1
Express -46*l - 4093*l**3 + 186*l + 4078*l**3 + 60*l in the form h*l**2 + m*l + n + x*l**3 and give m.
200
Express h**2 + 3*h + 2*h + h**3 - 4*h - 2967 - 4*h**3 + 3003 + 5*h**4 as k*h**3 + p + n*h**4 + g*h**2 + f*h and give p.
36
Express (-245*f + 1 - 1798*f - 2)*(2 - 2 + 4) in the form k*f + i and give i.
-4
Express 5*t - 3*t + 0*t + (0 + 0 - t)*(104 + 152 - 10) in the form h*t + m and give m.
0
Express (w - w + 2*w)*(0 + 0 + 2) - 3*w + w + 0*w + 273*w + 713*w + 140*w as t*w + y and give t.
1128
Rearrange -399 + 993 + 804 + 3*a**2 + 3*a**2 to the form j + i*a**2 + c*a and give i.
6
Rearrange 8 - 3*s**3 - 46*s**2 + 2*s**4 + s**4 + 42*s**2 - s**4 to the form r*s**3 + y*s**2 + j*s + k + o*s**4 and give o.
2
Rearrange 3 - 19*n + 5*n + 13*n + (-4 + 4 + 1)*(0*n - n - n) - 153362 + 153362 - 706*n to a + f*n and give f.
-709
Rearrange -4751*v**2 - 26 + 4765*v**2 - 5 + 0 to a + m*v**2 + l*v and give m.
14
Rearrange 2 + 4*j**3 - 74*j**2 + 0 - 6 - 35*j + 68*j**2 + 2 to w + a*j + k*j**3 + o*j**2 and give w.
-2
Express -24 + 71*b**2 + 72*b**2 - 4*b**3 - 218*b**2 + 67*b**2 in the form n*b**3 + r + d*b**2 + g*b and give r.
-24
Express (2 + 0 + 2)*(4 - 1 + 4)*(-7 - 9 + 1)*(-11*f**3 + f**3 + 2*f**3) as o*f**3 + a + x*f + t*f**2 and give o.
3360
Rearrange 103*t + 995*t + 1729*t + 94*t + 229*t to the form y*t + f and give y.
3150
Rearrange 478*i + 450*i - 7311*i to the form j + v*i and give v.
-6383
Rearrange (4*t + 2 + t - 4*t)*(21 + 6 - 7) + (-3 + 0 + 1)*(-t + 4*t - 7*t) to the form a*t + i and give a.
28
Express -3 + 17*w - 3*w**2 + 79518*w**3 - 79440*w**3 + 3 as o*w + s + l*w**2 + u*w**3 and give u.
78
Express -23*x - 95 - 26*x + 272 + 55*x + 167 in the form p*x + c and give p.
6
Rearrange -w + 4917 - 2492 - 2472 to the form h*w + v and give h.
-1
Express (0 + 2 - 1)*(21*h**3 + 17629 - 35*h**3 - 313*h**4 - h - 17626) in the form j*h + n + a*h**4 + w*h**2 + l*h**3 and give n.
3
Rearrange (-3 + 3 - 2*m)*(2 - 1 + 0)*(-284 + 116 - 141)*((0 - 2 + 4)*(6 - 3 - 1) + 2 + 2 - 2) to k*m + p and give k.
3708
Express (2 + 0 + 0)*(-3*l**2 + 2*l**2 + 9*l**2)*(93*l + 700 - 700) as h*l**2 + w + b*l + q*l**3 and give q.
1488
Express -414*o**2 + 74302 + 74281 + 74299 - 222902 as b*o**2 + m + p*o and give b.
-414
Express -4*y + 12*y - 3*y**3 + 13*y - y**3 + 5*y**3 - 2*y**3 + (-y**3 + 4*y**3 - y**3)*(1 + 3 - 2) in the form f*y**2 + m*y + o + n*y**3 and give n.
3
Express 185*d**2 - 148*d**2 - 98*d**2 - 7*d as c*d + i*d**2 + m and give c.
-7
Express -2*o**4 - 2*o + 2*o + (-2*o**2 + 59*o**2 - 4*o**2)*(-6*o**2 + 28*o**2 + 20*o**2) as c*o**4 + z*o**3 + i*o + l + v*o**2 and give v.
0
Express 1786 - 182*j + j**3 + 2*j**3 - 3582 - 2*j**3 + 1793 + 5*j**4 in the form a*j + x + i*j**3 + q*j**4 + z*j**2 and give a.
-182
Express -220*m + 1963*m + 1431*m in the form x*m + u and give x.
3174
Rearrange 252*d**4 + 3 - 8*d + d - 587*d**4 - d**2 + 305*d**4 to f + q*d**2 + b*d**3 + g*d + i*d**4 and give g.
-7
Express (-296*f - 281*f + 578*f + 338)*(-f**2 + 2*f**2 - 3*f**2) as x*f**2 + l*f**3 + y*f + j and give l.
-2
Rearrange -7089*t + 2281*t - 6914*t - 584*t to k + g*t and give g.
-12306
Express (-5*y + 2*y + y)*(y + 2*y - 5*y)*(-1 - y + 1) + 780*y**2 + 3 - 390*y**2 - 392*y**2 + 13*y + 23*y**3 in the form c*y**3 + m*y + i + s*y**2 and give m.
13
Express (-j - 4*j + 4*j)*(1 - 3 + 1) - 21203*j - 7314*j + 10644*j - 18700*j - 16856*j as k + w*j and give w.
-53428
Express -110 - f - 88 + 374 - 123 in the form a*f + m and give a.
-1
Express (24*q + 50 - 50)*(-6*q**3 + 0*q**3 + 3*q**3)*(1 + 1 - 3) in the form j*q**4 + n*q**2 + c + m*q + i*q**3 and give j.
72
Rearrange -51289*o - 53869*o + 80671*o to the form d*o + f and give d.
-24487
Express (70 + 75 + 8*p - 133)*(10*p + 5*p + 9*p) as f*p + j + q*p**2 and give q.
192
Express 4*z + 5 + 1 - 5 - z - 7*z**2 - 11 in the form k*z**2 + q + i*z and give k.
-7
Rearrange (15 + 16 + 1)*(-3*g + g + g)*(52*g**2 - 26*g**2 + 27*g**2) to the form a + y*g**2 + w*g + q*g**3 and give q.
-1696
Express 340110*r**3 + 8 + 60*r**2 - 340112*r**3 + 0*r - r in the form k*r + z + t*r**2 + b*r**3 and give z.
8
Express 0*p - 60*p + 25028 + 19*p + 17*p + 23*p in the form f*p + m and give f.
-1
Express -1 - 5373*u - 1 + u**2 - 2*u**3 + 17*u**3 - u**4 + 5371*u in the form b + v*u**3 + y*u + j*u**2 + q*u**4 and give b.
-2
Rearrange (-2*j - 3*j + 4*j)*(-271 - 223 + 667 - 693) to the form z + r*j and give r.
520
Express (3 - 1666*i - 2 + 1670*i - 2*i**2)*(3 - 3 - i) + (3 - 3 + i)*(-4*i**2 + 2*i**2 - 3*i**2) as k*i + z + n*i**3 + c*i**2 and give k.
-1
Express (-y + 148*y**2 + 193*y**2 - 127*y**2 + 64*y**2)*(3*y + y + 0*y)*(3 + 3 - 5) as u*y + v*y**3 + n + w*y**2 and give v.
1112
Express -2 - 8 - 14 - 74*n + 26 in the form q*n + o and give q.
-74
Express -60*r - 3058*r**2 + 3051*r**2 + 299*r in the form j + f*r**2 + o*r and give o.
239
Rearrange 3*h**4 + 21*h**3 + 0 - 16*h**3 + 2 - 2*h - 7*h**3 - 10*h**3 to the form l*h**3 + x*h + n*h**2 + c + u*h**4 and give u.
3
Express -p**3 - 73*p + 23*p + 24*p + 24*p + 1094 - p**3 as d*p + a + q*p**3 + m*p**2 and give m.
0
Express -u**2 - 87 - 1293*u + 87 - 1683*u in the form x*u**2 + z*u + f and give x.
-1
Express 16*t**2 + 2245*t - 1116*t - 1131*t as v*t + i*t**2 + p and give i.
16
Rearrange (118 - 118 + 39*b + (14 - 5 - 7)*(2*b - 5*b + 4*b))*(0 - 2 - 3) to p*b + l and give p.
-205
Rearrange 21 - 4*l**4 - 2 + 2*l**2 - 21*l**3 - l + 27 + 20*l**3 to the form o + i*l**3 + x*l**2 + q*l**4 + d*l and give q.
-4
Rearrange 16*q**4 - 589 + 2*q - 28*q**4 + 614 + 13*q**4 + q**2 to the form r*q**4 + m*q**2 + b + i*q + s*q**3 and give b.
25
Express 3*p - 840*p**3 - 4*p**4 + 828*p**3 + p**4 + 3*p**2 in the form y*p**2 + h*p**3 + k + v*p**4 + b*p and give v.
-3
Rearrange 1 - 1006*i**4 - 4*i**2 + 501*i**4 + 500*i**4 + 7*i**2 - 13*i to the form l*i + o + w*i**3 + q*i**4 + m*i**2 and give l.
-13
Express 468*n**2 - 2*n + 160*n**2 - 1124*n**2 in the form j*n + w*n**2 + b and give w.
-496
Rearrange 1 + c - 962*c**3 + 318*c**3 + 321*c**3 - 51*c**2 + 320*c**3 to b*c**2 + j + l*c**3 + h*c and give l.
-3
Express 2130281*s + 1261*s**2 - 2130280*s + 860*s**2 in the form z*s**2 + b + j*s and give z.
2121
Rearrange (7*n - 4*n - n + (-5*n + 5*n + 2*n)*(1
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 225.
34
What is the remainder when 7223 is divided by 17?
15
Calculate the remainder when 3327 is divided by 1109.
0
Calculate the remainder when 395 is divided by 59.
41
What is the remainder when 68 is divided by 21?
5
What is the remainder when 133 is divided by 67?
66
What is the remainder when 59 is divided by 6?
5
What is the remainder when 207 is divided by 19?
17
What is the remainder when 52 is divided by 34?
18
What is the remainder when 149 is divided by 111?
38
Calculate the remainder when 85 is divided by 74.
11
What is the remainder when 458 is divided by 85?
33
Calculate the remainder when 286 is divided by 42.
34
Calculate the remainder when 38373 is divided by 156.
153
What is the remainder when 1265 is divided by 76?
49
Calculate the remainder when 1418 is divided by 29.
26
Calculate the remainder when 3270 is divided by 298.
290
What is the remainder when 2878 is divided by 30?
28
Calculate the remainder when 537 is divided by 20.
17
What is the remainder when 756 is divided by 40?
36
What is the remainder when 108 is divided by 47?
14
What is the remainder when 182 is divided by 81?
20
Calculate the remainder when 708 is divided by 5.
3
Calculate the remainder when 168 is divided by 13.
12
What is the remainder when 4077 is divided by 26?
21
What is the remainder when 554 is divided by 63?
50
Calculate the remainder when 3804 is divided by 2.
0
Calculate the remainder when 1327 is divided by 46.
39
Calculate the remainder when 57 is divided by 32.
25
What is the remainder when 1922 is divided by 52?
50
Calculate the remainder when 6619 is divided by 276.
271
Calculate the remainder when 336 is divided by 129.
78
Calculate the remainder when 89 is divided by 74.
15
What is the remainder when 59 is divided by 18?
5
What is the remainder when 4140 is divided by 7?
3
What is the remainder when 32 is divided by 17?
15
Calculate the remainder when 611 is divided by 44.
39
Calculate the remainder when 187 is divided by 33.
22
What is the remainder when 1750 is divided by 868?
14
Calculate the remainder when 30175 is divided by 21.
19
What is the remainder when 433 is divided by 63?
55
Calculate the remainder when 94 is divided by 78.
16
What is the remainder when 96 is divided by 53?
43
Calculate the remainder when 97 is divided by 20.
17
Calculate the remainder when 2436 is divided by 33.
27
What is the remainder when 175 is divided by 31?
20
What is the remainder when 2398 is divided by 799?
1
Calculate the remainder when 2066 is divided by 18.
14
What is the remainder when 203 is divided by 33?
5
What is the remainder when 361 is divided by 14?
11
Calculate the remainder when 20085 is divided by 5018.
13
Calculate the remainder when 94 is divided by 4.
2
What is the remainder when 3391 is divided by 170?
161
Calculate the remainder when 302 is divided by 127.
48
What is the remainder when 104 is divided by 5?
4
What is the remainder when 158 is divided by 81?
77
Calculate the remainder when 19 is divided by 13.
6
Calculate the remainder when 365 is divided by 354.
11
Calculate the remainder when 237 is divided by 90.
57
Calculate the remainder when 876 is divided by 40.
36
What is the remainder when 297 is divided by 148?
1
Calculate the remainder when 276 is divided by 61.
32
What is the remainder when 46 is divided by 8?
6
What is the remainder when 18695 is divided by 12?
11
What is the remainder when 1321 is divided by 34?
29
Calculate the remainder when 1171 is divided by 78.
1
Calculate the remainder when 455 is divided by 121.
92
What is the remainder when 2843 is divided by 89?
84
What is the remainder when 713 is divided by 13?
11
Calculate the remainder when 255 is divided by 36.
3
What is the remainder when 147 is divided by 10?
7
Calculate the remainder when 2549 is divided by 6.
5
What is the remainder when 277 is divided by 56?
53
Calculate the remainder when 707 is divided by 141.
2
What is the remainder when 865 is divided by 55?
40
Calculate the remainder when 4419 is divided by 85.
84
What is the remainder when 199 is divided by 17?
12
What is the remainder when 45 is divided by 33?
12
Calculate the remainder when 28 is divided by 3.
1
Calculate the remainder when 58 is divided by 56.
2
Calculate the remainder when 298 is divided by 107.
84
Calculate the remainder when 87 is divided by 15.
12
Calculate the remainder when 2253 is divided by 98.
97
What is the remainder when 257 is divided by 31?
9
Calculate the remainder when 50 is divided by 4.
2
Calculate the remainder when 766 is divided by 32.
30
Calculate the remainder when 326 is divided by 101.
23
What is the remainder when 7490 is divided by 59?
56
What is the remainder when 62 is divided by 9?
8
Calculate the remainder when 362 is divided by 85.
22
Calculate the remainder when 224 is divided by 108.
8
Calculate the remainder when 234 is divided by 6.
0
What is the remainder when 59 is divided by 39?
20
What is the remainder when 3308 is divided by 48?
44
Calculate the remainder when 142 is divided by 73.
69
What is the remainder when 1724 is divided by 24?
20
What is the remainder when 669 is divided by 94?
11
What is the remainder when 307 is divided by 124?
59
Calculate the remainder when 362 is divided by 61.
57
What is the remainder when 134 is divided by 45?
44
Calculate the remainder when 192 is divided by 12.
0
What is the remainder when 984 is divided by 245?
4
What is the remainder when 4285 is divided by 2138?
9
Calculate the remainder when 102 is divided by 48.
6
Calculate the remainder when 41467 is divided by 13.
10
Calculate the remainder when 153 is divided by 70.
13
Calculate the remainder when 629 is divided by 94.
65
Calculate the remainder when 616 is divided by 62.
58
Calculate the remainder when 237 is divided by 40.
37
Calculate the remainder when 5368 is divided by 15.
13
What is the remainder when 248 is divided by 29?
16
What is the remainder when 581 is divided by 105?
56
Calculate the remainder when 259 is divided by 44.
39
Calculate the remainder when 2266 is divided by 63.
61
Calculate the remainder when 33 is divided by 11.
0
Calculate the remainder when 205 is divided by 36.
25
What is the remainder when 25 is divided by 13?
12
What is the remainder when 412 is divided by 136?
4
Calculate the remainder when 784 is divided by 65.
4
Calculate the remainder when 186 is divided by 49.
39
Calculate the remainder when 30 is divided by 9.
3
Calculate the remainder when 670 is divided by 56.
54
What is the remainder when 77 is divided by 16?
13
What is the remainder when 6791 is divided by 9?
5
What is the remainder when 2175 is divided by 16?
15
What is the remainder when 382 is divided by 77?
74
Calculate the remainder when 1321 is divided by 1314.
7
Calculate the remainder when 140 is divided by 13.
10
Calculate the remainder when 169 is divided by 93.
76
What is the remainder when 51 is divided by 17?
0
Calculate the remainder when 2134 is divided by 42.
34
Calculate the remainder when 64 is divided by 18.
10
What is the remainder when 12620 is divided by 61?
54
What is the remainder when 82 is divided by 41?
0
Calculate the remainder when 76 is divided by 11.
10
Calculate the remainder when 176 is divided by 57.
5
What is the remainder when 742 is divided by 117?
40
Calculate the remainder when 6595 is divided by 68.
67
Calculate the remainder when 1058 is divided by 67.
53
What is the remainder when 3199 is divided by 65?
14
Calculate the remainder when 30770 is divided by 23.
19
Calculate the remainder when 1941 is divided by 12.
9
What is the remainder when 112 is divided by 16?
0
Calculate the remainder when 132 is divided by 7.
6
Calculate the remainder when 171 is divided by 22.
17
Calculate the remainder when 1272 is divided by 52.
24
What is the remainder when 412 is divided by 81?
7
What is the remainder when 55 is divided by 28?
27
What is the remainder when 786 is divided by 57?
45
What is the remainder when 408 is divided by 106?
90
Calculate the remainder when 229 is divided by 67.
28
Calculate the remainder when 10110 is divided by 2020.
10
Calculate the remainder when 492 is divided by 55.
52
What is the remainder when 1699 is divided by 462?
313
Calculate the remainder when 33 is divided by 12.
9
|
{
"pile_set_name": "DM Mathematics"
}
|
*h**4/3 - 2*h**3/3 - 2*h**2 + 6*h. Factor t(m).
-4*(m - 1)**2*(m + 1)**3
Suppose -1/4*r**4 + 1/2*r**3 - 1/4*r**2 + 0 + 0*r = 0. Calculate r.
0, 1
Let z(q) be the third derivative of -q**6/132 - 2*q**5/55 - q**4/33 + 4*q**2. Factor z(m).
-2*m*(m + 2)*(5*m + 2)/11
Let d = 74 - 128. Let x = 271/5 + d. Solve -9/5*z**4 - x*z**2 + 0 + 6/5*z**3 + 0*z = 0 for z.
0, 1/3
Let y(h) = -4*h**2 + 12*h + 6. Let x(g) be the first derivative of -7*g**3/3 + 23*g**2/2 + 11*g - 5. Let j(p) = -6*x(p) + 11*y(p). Solve j(t) = 0 for t.
-3, 0
Factor -2/5*a**4 + 0 + 2/5*a**2 + 1/5*a**5 - 1/5*a + 0*a**3.
a*(a - 1)**3*(a + 1)/5
Let b(a) be the third derivative of a**8/1680 - a**7/1050 - a**6/200 + a**5/60 - a**4/60 - 6*a**2. Factor b(n).
n*(n - 1)**3*(n + 2)/5
Let z = 5 - 3. Suppose 8*c + 5*q + 25 = 5*c, c - 10 = 2*q. Find l, given that c*l**z - l**2 - l + 2*l**2 = 0.
0, 1
Suppose -5*a + j + 91 = 0, 5 = -2*j + 3. Let t(k) = -k + 3. Let c be t(0). What is u in -18 - u**c + a = 0?
0
Let d(w) be the third derivative of w**6/600 + w**5/200 - w**4/20 + w**3/6 - 3*w**2. Let n(b) be the first derivative of d(b). Factor n(k).
3*(k - 1)*(k + 2)/5
Suppose -k - 18 = -4*n + 7, 2*n = 2*k + 26. Let r be 3*(1 - (-3)/k). Determine o so that 2/3*o**r + 1/3*o**3 + 0 + 1/3*o = 0.
-1, 0
Let q = -3/58 + 131/290. Factor q*b - 4/5*b**3 + 0 + 2/5*b**5 + 0*b**4 + 0*b**2.
2*b*(b - 1)**2*(b + 1)**2/5
Let l(n) = -10*n**2 - 16*n - 10. Let c(d) = -d**3 + 10*d**2 + 16*d + 11. Let v(f) = -4*c(f) - 6*l(f). Factor v(y).
4*(y + 1)*(y + 2)**2
Let w(i) be the second derivative of 2/9*i**4 + 0*i**2 + 1/63*i**7 - 8*i + 0 + 4/45*i**6 + 1/5*i**5 + 1/9*i**3. Solve w(v) = 0 for v.
-1, 0
Let w(t) = 15*t**3 + 36*t**2 + 39*t + 6. Let i(k) = k. Let z(c) = 2*c. Let l(o) = -i(o) + z(o). Let j(s) = -12*l(s) + w(s). Factor j(x).
3*(x + 1)**2*(5*x + 2)
Find q such that 4*q + 9*q + 8*q**2 + 23*q + 20*q**3 - 12*q**4 + 8 - 8*q**5 + 44*q**2 = 0.
-1, -1/2, 2
Let c(l) = 12*l**5 + 132*l**4 - 32*l**3 - 208*l**2 + 32*l. Let f(w) = w**5 + 12*w**4 - 3*w**3 - 19*w**2 + 3*w. Let y(b) = 3*c(b) - 32*f(b). Factor y(z).
4*z**2*(z - 1)*(z + 2)**2
Let c(q) be the third derivative of -q**9/151200 - q**8/50400 + q**5/20 + 5*q**2. Let d(l) be the third derivative of c(l). Factor d(o).
-2*o**2*(o + 1)/5
Let l(u) = 4*u**3 + 5*u**2 + u. Let x(f) = f. Let y(i) = 7*i**3 + 9*i**2 + i. Let b(s) = x(s) + y(s). Let v(a) = 3*b(a) - 5*l(a). Suppose v(z) = 0. What is z?
-1, 0
Let i(z) be the first derivative of z**4/18 + 20*z**3/27 + 4*z**2/3 - 16*z + 38. Determine j so that i(j) = 0.
-6, 2
Let z be (4/(-180))/(9/(-15)). Let j(t) be the second derivative of 2*t + 1/45*t**5 + 1/135*t**6 - 1/189*t**7 - 1/27*t**3 + 1/9*t**2 + 0 - z*t**4. Factor j(n).
-2*(n - 1)**3*(n + 1)**2/9
Let z(s) = -4*s**4 + 3*s**3 + 5*s**2 + 2*s + 4. Let k(a) = -5*a**4 + 2*a**2 - 3*a + 5 + a + 4*a**2 + 4*a**3 + 4*a. Let d(y) = -5*k(y) + 6*z(y). Factor d(r).
(r - 1)**3*(r + 1)
Let 3*v**3 - 17*v - 17*v - 3*v**4 + 3*v**2 + 31*v = 0. Calculate v.
-1, 0, 1
Factor 0*w**2 + 0 + 1/5*w**3 + 0*w.
w**3/5
Factor -3/7*h**2 - 15/7*h + 0.
-3*h*(h + 5)/7
Let p = 1697/22 - 151/2. Solve 4/11 + 8/11*b**2 - p*b = 0.
1/4, 2
Suppose -o + 8 = 3*o. Let h(w) be the second derivative of 7/36*w**4 + 0*w**2 + 0 + 1/9*w**3 + o*w. Factor h(z).
z*(7*z + 2)/3
Factor -59*r**3 - 20 - 46*r**3 - 5*r**2 + 90*r**3 + 40*r.
-5*(r - 1)*(r + 2)*(3*r - 2)
Let -7*l + 5 - 6*l - 14 + l - 3*l**2 = 0. What is l?
-3, -1
Let g(y) be the first derivative of -y**4 + 8. Suppose g(n) = 0. What is n?
0
Let b be 7 + (-56)/12 + 6/9. Let j(r) be the first derivative of -1/6*r**2 - 1/18*r**b - 1/6*r + 1. What is w in j(w) = 0?
-1
Let g(f) be the third derivative of -f**5/270 - 7*f**4/108 - 2*f**3/9 + 3*f**2 - 7. Let g(p) = 0. Calculate p.
-6, -1
Let u(y) be the third derivative of -y**6/1260 - y**5/105 - y**4/21 - 5*y**3/6 + 4*y**2. Let x(t) be the first derivative of u(t). Factor x(g).
-2*(g + 2)**2/7
Let l(p) be the second derivative of 0 + 3*p + 1/240*p**5 + 0*p**4 - 1/24*p**3 + 1/2*p**2. Let y(o) be the first derivative of l(o). Factor y(d).
(d - 1)*(d + 1)/4
Factor -7*r**4 - 11*r**4 + 4*r**3 - 8*r**2 + 22*r**4.
4*r**2*(r - 1)*(r + 2)
Let u(v) be the third derivative of -v**8/840 + v**7/525 + v**6/60 - v**5/30 - v**4/15 + 4*v**3/15 - 52*v**2. Solve u(b) = 0.
-2, -1, 1, 2
Let l(f) be the third derivative of -1/72*f**6 + 5*f**2 + 5/72*f**4 + 0*f + 1/9*f**3 + 0 - 1/90*f**5. Determine t so that l(t) = 0.
-1, -2/5, 1
Let r(x) be the second derivative of -x**6/480 + x**4/32 + x**3/12 + 7*x**2/2 - 6*x. Let l(c) be the first derivative of r(c). What is i in l(i) = 0?
-1, 2
Let m be (-6 - -5)/(2/(-4)). Suppose -2/7*x**m - 2/7*x + 2/7*x**3 + 2/7 = 0. What is x?
-1, 1
Let y(l) = -25*l + l**3 - l**2 - 1 + 25*l. Let f(p) = -2747*p**3 + 530*p**2 + 2401*p**4 - 224*p + 649*p**2 + 0 + 19. Let a(c) = -f(c) - 3*y(c). Factor a(z).
-(7*z - 2)**4
Let o(q) = q**3 - 22*q**2 + q - 22. Let g be o(22). Factor 4/11*z - 18/11*z**3 - 10/11*z**5 + 2/11*z**2 - 26/11*z**4 + g.
-2*z*(z + 1)**3*(5*z - 2)/11
Let d = 7 - 5. Suppose -f + d*f = 4. Factor -m**5 + 2*m**5 - 2*m**4 + m**f.
m**4*(m - 1)
Let i(f) be the second derivative of f**7/28 - 3*f**6/20 + 9*f**5/40 - f**4/8 - 5*f. Find v such that i(v) = 0.
0, 1
Let w(p) be the third derivative of p**8/672 - p**7/105 + p**6/40 - p**5/30 + p**4/48 + 4*p**2. What is l in w(l) = 0?
0, 1
Let a(u) be the second derivative of -3/2*u**2 - 1/4*u**4 + 0 - u**3 + 3*u. Factor a(i).
-3*(i + 1)**2
Let m(n) be the second derivative of -n**4/78 - 2*n**3/39 + 20*n. Suppose m(j) = 0. What is j?
-2, 0
Let k(i) be the second derivative of -i**7/210 - i**6/360 + 4*i**2 + 8*i. Let d(w) be the first derivative of k(w). What is v in d(v) = 0?
-1/3, 0
Let o(n) = n**2 - 2*n - 153. Let f be o(0). Let m = f - -615/4. Find t, given that 1/4*t**5 - 1/2*t**2 - 1/4 + m*t**4 - 3/4*t + 1/2*t**3 = 0.
-1, 1
Let f(z) be the second derivative of -z**4/18 + 2*z**3/9 + 8*z**2/3 - 20*z. Factor f(u).
-2*(u - 4)*(u + 2)/3
Suppose -35 = -5*x - 0. Suppose 2*q + 10 = x*q. Suppose -2 + 2*i**3 + 0*i**3 - 4*i**3 + q*i + 2*i**2 + 0*i**2 = 0. What is i?
-1, 1
Suppose 4*t - 3*c + 2 = 21, -13 = 2*t + 3*c. Suppose 0 = l - t, 4*l + 3 = 5*m - 3. Factor 1 - f + 1/4*f**m.
(f - 2)**2/4
Let 1/4*i**2 + 1/4 + 1/2*i = 0. What is i?
-1
Let q = 1/123 + 467/3075. Let f = 38/75 + q. Factor 2/3*k**3 + 0*k + 0 + 0*k**2 + f*k**4.
2*k**3*(k + 1)/3
Suppose -21 = -3*r + 5*x + 99, -3*x = 3*r - 144. Let w be (-20)/r*(-3)/2. Find b, given that 0 + 2/3*b**2 - w*b = 0.
0, 1
Let u(q) = 70*q**4 - 25*q**3 - 77*q**2 + 25*q - 3. Let x(j) = 69*j**4 - 24*j**3 - 78*j**2 + 24*j - 3. Let f(g) = 6*u(g) - 5*x(g). Factor f(s).
3*(s - 1)*(s + 1)*(5*s - 1)**2
Let m be 40/12 - (-2)/(-6). Suppose -3*s + 2*i = 1 - 17, -m*s + 4 = 4*i. Factor -n**4 + 0*n**4 + n**2 - n**3 - s*n**5 + 5*n**5.
n**2*(n - 1)**2*(n + 1)
Let u = -5174 + 36301/7. Let a = u - 733/63. Factor a*x**4 + 0 + 0*x**2 + 0*x + 2/9*x**3.
2*x**3*(x + 1)/9
Suppose 4*o = -2*i - 8, 0 = -4*o + 2 + 6. Let m be 21/2*i/(-12). Factor m*n - 4 - 1 + n + 1 - 3*n**2.
-(n - 2)*(3*n - 2)
Let a(q) = q**3 - 4*q**2 - 3*q - 6. Let c be a(5). Let u = c - 1. Solve 1/3*w**u - 1/3*w - 1/3 - 2/3*w**4 + w**2 = 0 for w.
-1, -1/2, 1
Let s(a) = -2*a**4 - 5*a**3 - 3*a**2 + 7*a + 7. Let o(v) = -v**3 - v**2 + v + 1. Let j(l) = -14*o(l) + 2*s(l). Let j(z) = 0. Calculate z.
-1, 0, 2
Suppose -4*i**2 + 3*i**2 - i**2 = 0. Calculate i.
0
Factor -3/2*y**3 - 1/2*y**4 + 0*y**2 + 0 + 2*y.
-y*(y - 1)*(y + 2)**2/2
Suppose 4*b = -2*p - 2, 5*b - 2*b + 14 = -4*p. Let j = 20 + -58/3. Factor -2/3 + 8/3*y - j*y**4 + 8/3*y**3 - 4*y**b.
-2*(y - 1)**4/3
Let d(x) = 3*x**4 + 17*x**3 + 7*x**2 + 5*x. Let z(m) = -3*m**4 - 16*m**3 - 8*m**2 - 4*m. Let n(i) = -4*d(i) - 5*z(i). What is v in n(v) = 0?
-2, 0
Let x(u) be the second derivative of -u**4/48 + u**3/8 - u**2/4 + 18*u. Let x(a) = 0. Calculate a.
1, 2
Let d(l) = -l - 12. Let k be d(-18). Let s be (1/4)/(2/k). Factor -s + 3/4*b**3 - 9/4*b**2 + 9/4*b.
3*(b - 1)**3/4
Let h(o) be the second derivative of o**5/80 + o**4/24 + o**3/24 - 7*o. Factor h(g).
g*(g + 1)**2/4
Let h(n) be the second derivative of n**7/14 + 3*n**6/10 + 9*n**5/20 + n**4/4 + 8*n. Determine s so that h(s) = 0.
-1, 0
Suppose 0 = 5*p - 5*k - 15, -2*p - k + 5 = -4*k. Suppose 5/2*m**3 + 3/2*m**5
|
{
"pile_set_name": "DM Mathematics"
}
|
divide 197280?
True
Does 291 divide 2738601?
True
Is 1337 a factor of 7215920?
False
Is 1721708 a multiple of 31?
False
Does 59 divide 19005611?
True
Does 780 divide 1348620?
True
Does 251 divide 43925?
True
Is 61 a factor of 47009?
False
Is 78988 a multiple of 26?
True
Does 220 divide 1700600?
True
Is 2667407 a multiple of 760?
False
Is 749918 a multiple of 23?
False
Does 1080 divide 2268511?
False
Is 878 a factor of 4342588?
True
Is 231 a factor of 4239312?
True
Is 7 a factor of 212096?
False
Is 89 a factor of 178265?
False
Is 360133 a multiple of 233?
False
Does 245 divide 5508335?
True
Is 583980 a multiple of 114?
False
Does 350 divide 182000?
True
Does 2 divide 639971?
False
Does 386 divide 637630?
False
Is 2354318 a multiple of 332?
False
Does 23 divide 84474?
False
Is 12 a factor of 452112?
True
Does 15 divide 14567715?
True
Is 9 a factor of 584452?
False
Does 9 divide 20543937?
False
Is 23 a factor of 296991?
False
Is 113 a factor of 9492?
True
Does 9 divide 20931?
False
Is 2355650 a multiple of 110?
True
Does 32 divide 319104?
True
Does 8 divide 213464?
True
Does 5 divide 213558?
False
Is 13888490 a multiple of 17?
True
Does 397 divide 6576335?
False
Is 10649994 a multiple of 618?
True
Does 17 divide 125766?
True
Is 6224390 a multiple of 20?
False
Does 1315 divide 7299565?
True
Does 745 divide 317363?
False
Is 120032 a multiple of 62?
True
Is 338 a factor of 1619696?
True
Is 16 a factor of 860710?
False
Is 47 a factor of 282775?
False
Is 137118 a multiple of 92?
False
Is 60129 a multiple of 1179?
True
Does 157 divide 187144?
True
Is 51 a factor of 4047758?
False
Is 30 a factor of 13195234?
False
Is 84 a factor of 81816?
True
Is 47 a factor of 40955?
False
Is 25 a factor of 444325?
True
Is 70745 a multiple of 172?
False
Is 210948 a multiple of 29?
False
Is 115218 a multiple of 37?
True
Does 426 divide 218538?
True
Is 2947332 a multiple of 948?
True
Is 1851416 a multiple of 56?
True
Is 9718020 a multiple of 45?
True
Is 178364 a multiple of 43?
True
Does 27 divide 762507?
True
Is 496 a factor of 1991268?
False
Is 468 a factor of 179233?
False
Is 13 a factor of 64480?
True
Does 190 divide 1402225?
False
Is 309 a factor of 328467?
True
Is 1339072 a multiple of 56?
True
Does 61 divide 301432?
False
Is 1107 a factor of 458165?
False
Is 702026 a multiple of 169?
True
Does 22 divide 190997?
False
Is 372 a factor of 136152?
True
Is 63 a factor of 774802?
False
Is 45 a factor of 606420?
True
Is 2400092 a multiple of 10?
False
Is 1465453 a multiple of 593?
False
Does 4 divide 267544?
True
Is 425887 a multiple of 27?
False
Does 270 divide 1920240?
True
Does 110 divide 45348?
False
Is 125 a factor of 353500?
True
Does 202 divide 2324212?
True
Does 5 divide 74826?
False
Does 31 divide 28891?
False
Is 323308 a multiple of 52?
False
Is 54989 a multiple of 11?
True
Is 65620 a multiple of 68?
True
Does 7 divide 390439?
True
Is 55 a factor of 3715800?
True
Does 235 divide 1660507?
False
Does 97 divide 3596954?
True
Is 32892 a multiple of 81?
False
Is 1121849 a multiple of 42?
False
Is 71 a factor of 9014941?
True
Does 18 divide 384570?
True
Does 59 divide 76995?
True
Does 10 divide 41990?
True
Does 245 divide 4794760?
False
Is 41 a factor of 359350?
False
Is 394 a factor of 466386?
False
Does 94 divide 251099?
False
Is 207 a factor of 467406?
True
Is 101400 a multiple of 10?
True
Is 129336 a multiple of 17?
True
Is 135171 a multiple of 109?
False
Is 426545 a multiple of 49?
True
Is 38 a factor of 1453690?
True
Does 355 divide 2885440?
True
Is 14 a factor of 94248?
True
Is 114 a factor of 777480?
True
Does 32 divide 174016?
True
Is 289974 a multiple of 62?
True
Does 470 divide 235730?
False
Is 5617575 a multiple of 25?
True
Is 83359 a multiple of 13?
False
Is 20 a factor of 7176620?
True
Does 40 divide 291000?
True
Is 26050893 a multiple of 919?
True
Is 5021681 a multiple of 33?
False
Is 62 a factor of 509665?
False
Is 76119 a multiple of 115?
False
Is 22 a factor of 3933248?
True
Does 17 divide 49178?
False
Does 911 divide 2514175?
False
Is 1917960 a multiple of 15?
True
Is 2 a factor of 26680?
True
Is 113 a factor of 1094793?
False
Does 161 divide 3422668?
False
Is 291244 a multiple of 12?
False
Is 6 a factor of 183828?
True
Is 22 a factor of 381590?
True
Is 76 a factor of 1708303?
False
Does 70 divide 426706?
False
Is 85475 a multiple of 8?
False
Does 41 divide 717910?
True
Is 7 a factor of 26138?
True
Is 39 a factor of 154089?
True
Is 39 a factor of 7858812?
True
Does 4 divide 1652912?
True
Is 2837406 a multiple of 22?
True
Is 1900371 a multiple of 467?
False
Is 2783784 a multiple of 17?
True
Is 545 a factor of 917780?
True
Is 11 a factor of 157315?
False
Is 1196423 a multiple of 303?
False
Does 6 divide 60726?
True
Does 597 divide 13272496?
False
Is 10 a factor of 392856?
False
Is 28 a factor of 129627?
False
Is 976624 a multiple of 44?
True
Is 9 a factor of 778043?
False
Does 9 divide 295558?
False
Does 151 divide 295507?
True
Is 647552 a multiple of 20?
False
Is 943580 a multiple of 10?
True
Is 112228 a multiple of 68?
False
Does 54 divide 643464?
True
Does 4 divide 1571259?
False
Is 137 a factor of 349582?
False
Is 95396 a multiple of 47?
False
Is 25 a factor of 33523?
False
Is 26 a factor of 19292?
True
Is 9 a factor of 77364?
True
Is 4 a factor of 27501?
False
Is 37 a factor of 15022?
True
Does 4 divide 255752?
True
Does 5 divide 129041?
False
Is 90 a factor of 3515130?
True
Is 2990439 a multiple of 475?
False
Is 63 a factor of 890018?
False
Does 71 divide 312187?
True
Is 324513 a multiple of 101?
True
Is 57 a factor of 2451?
True
Is 201 a factor of 1414251?
False
Does 129 divide 363759?
False
Is 5372755 a multiple of 247?
False
Does 13 divide 6135051?
True
Is 46150 a multiple of 4?
False
Does 13 divide 2953522?
True
Is 3239921 a multiple of 535?
False
Is 574750 a multiple of 50?
True
Does 13 divide 6875143?
False
Is 2 a factor of 127777?
False
Does 26 divide 60757?
False
Is 23345 a multiple of 161?
True
Is 19 a factor of 5911565?
True
Is 141 a factor of 344886?
True
Is 3380246 a multiple of 28?
False
Is 792976 a multiple of 58?
True
Is 5 a factor of 353465?
True
Is 127448 a multiple of 147?
False
Is 7 a factor of 15736?
True
Is 1171546 a multiple of 177?
False
Is 125720 a multiple of 56?
True
Is 5 a factor of 437891?
False
Is 8 a factor of 20557130?
False
Is 323 a factor of 229067?
False
Does 8 divide 159104?
True
Is 451510 a multiple of 44?
False
Is 88 a factor of 2191464?
True
Does 135 divide 8070642?
False
Is 150047 a multiple of 10?
False
Does 339 divide 103395?
True
Is 95141 a multiple of 17?
False
Is 6158300 a multiple of 10?
True
Is 59 a factor of 1365406?
False
Is 9 a factor of 165429?
True
Does 81 divide 167832?
True
Is 406 a factor of 1237266?
False
Does 11 divide 71909?
False
Is 308651 a multiple of 23?
False
Does 26 divide 2594733?
False
Does 38 divide 2846200?
True
Does 189 divide 610459?
False
Is 444611 a multiple of 109?
True
Does 5 divide 998864?
False
Does 9 divide 169?
False
Does 79 divide 6231757?
True
Is 70 a factor of 991645?
False
Does 5 divide 31931?
False
Is 16 a factor of 71576?
False
Does 7 divide 4168890?
False
Is 28 a factor of 343118?
False
Is 892521 a multiple of 279?
True
Does 151 divide 1446447?
False
Does 69 divide 86684?
False
Does 5 divide 2124283?
False
Does 48 divide 470496?
True
Is 4029 a multiple of 17?
True
Does 12 divide 56370?
False
Is 2332383 a multiple of 83?
True
Is 6 a factor of 707352?
True
Does 34 divide 3613316?
True
Does 11 divide 81598?
True
Is 39 a factor of 25428?
True
Is 457710 a multiple of 30?
True
Does 20 divide 5487170?
False
Is 24168 a multiple of 106?
True
Is 5516800 a multiple of 256?
True
Does 41 divide 353297?
True
Is 4159294 a multiple of 39?
False
Is 43 a factor of 306332?
True
Is 97 a factor of 180700?
False
Does 267 divide 2187798?
True
Is 796 a factor of 554812?
True
Does 278 divide 3608382?
False
Is 85 a factor of 82005?
False
Does 11 divide 789190?
False
Is 33945 a multiple of 93?
True
Is 233 a factor of 87608?
True
Is 124 a factor of 258891?
False
Is 205342 a multiple of 83?
True
Is 248381 a multiple of 8?
False
Is 53 a factor of 490128?
False
Is 4 a factor of 3008?
True
Is 435 a factor of 532875?
True
Does 5 divide 863609?
False
Does 19 divide 565435?
False
Is 1155571
|
{
"pile_set_name": "DM Mathematics"
}
|
ce hjb.
3/280
Calculate prob of sequence alhf when four letters picked without replacement from {b: 1, f: 1, l: 1, h: 1, a: 2, c: 1}.
1/420
Two letters picked without replacement from {u: 2, f: 10}. What is prob of sequence uf?
5/33
Two letters picked without replacement from {z: 2, b: 1, h: 8, m: 2, k: 1}. Give prob of sequence mz.
2/91
What is prob of sequence sas when three letters picked without replacement from smmsmka?
1/105
What is prob of sequence kkg when three letters picked without replacement from okppqppkgkkpjppjk?
1/204
Two letters picked without replacement from {a: 1, d: 1, w: 1, t: 1, n: 1, z: 2}. Give prob of sequence dt.
1/42
Two letters picked without replacement from aarroi. Give prob of sequence ia.
1/15
Calculate prob of sequence fh when two letters picked without replacement from {a: 2, h: 1, d: 1, f: 3, q: 3, s: 5}.
1/70
What is prob of sequence jq when two letters picked without replacement from jqiikqq?
1/14
Three letters picked without replacement from vhvvhhhhhhhfvffhfhh. What is prob of sequence fff?
4/969
Three letters picked without replacement from gvopotstg. What is prob of sequence vst?
1/252
Calculate prob of sequence hhj when three letters picked without replacement from hhhwwwhhwwwhwjw.
1/91
Three letters picked without replacement from hphphhp. What is prob of sequence ppp?
1/35
Two letters picked without replacement from {j: 4, n: 15}. Give prob of sequence jn.
10/57
Two letters picked without replacement from rnrrnn. Give prob of sequence rr.
1/5
Two letters picked without replacement from fujyfbu. Give prob of sequence yu.
1/21
Four letters picked without replacement from eewaiieaia. Give prob of sequence aaei.
3/280
Calculate prob of sequence qqqc when four letters picked without replacement from {c: 10, q: 9}.
35/646
Two letters picked without replacement from iibibiii. What is prob of sequence ib?
3/14
Two letters picked without replacement from {h: 3, c: 1, m: 2, j: 3, s: 1, u: 7}. What is prob of sequence mh?
3/136
Four letters picked without replacement from mwmmmwmw. What is prob of sequence mmmw?
3/28
What is prob of sequence dnw when three letters picked without replacement from {p: 1, n: 1, x: 8, w: 2, d: 1, e: 3}?
1/1680
Calculate prob of sequence sjis when four letters picked without replacement from {i: 1, s: 4, j: 2}.
1/35
What is prob of sequence uuu when three letters picked without replacement from uuuruuuuuuuu?
3/4
Calculate prob of sequence zz when two letters picked without replacement from zzoooozozpzozoppok.
5/51
Three letters picked without replacement from vzvznznvzveneen. Give prob of sequence zvv.
8/455
What is prob of sequence kzw when three letters picked without replacement from zrmrwwdk?
1/168
Four letters picked without replacement from {k: 16, d: 1, y: 1}. Give prob of sequence dddk.
0
What is prob of sequence hh when two letters picked without replacement from qtqquqtqhqmhmhqqu?
3/136
Calculate prob of sequence bqb when three letters picked without replacement from {b: 3, q: 9}.
9/220
What is prob of sequence zi when two letters picked without replacement from ihz?
1/6
What is prob of sequence ffn when three letters picked without replacement from xxffnnxnnnnx?
1/110
Four letters picked without replacement from ssssbsssssssb. What is prob of sequence bssb?
1/78
What is prob of sequence gbyg when four letters picked without replacement from {x: 1, y: 1, u: 1, h: 1, b: 2, g: 1}?
0
What is prob of sequence qsn when three letters picked without replacement from fnmfjnqqfsjq?
1/220
Four letters picked without replacement from lrvvupvvrvpr. Give prob of sequence lupp.
1/5940
Two letters picked without replacement from fgpofpj. What is prob of sequence pp?
1/21
What is prob of sequence aoro when four letters picked without replacement from {r: 1, g: 7, j: 1, o: 2, b: 2, a: 1}?
1/12012
Calculate prob of sequence ooo when three letters picked without replacement from {o: 9}.
1
Three letters picked without replacement from afaababbaafaaaa. What is prob of sequence bbf?
2/455
What is prob of sequence krr when three letters picked without replacement from yrrcktrtycrrcyccr?
1/136
Four letters picked without replacement from {y: 2, f: 4, i: 2, m: 2, o: 2}. What is prob of sequence myff?
2/495
What is prob of sequence vdi when three letters picked without replacement from vvdiipka?
1/84
Calculate prob of sequence kk when two letters picked without replacement from kkeexkeeekeee.
1/13
Three letters picked without replacement from {s: 1, p: 2, g: 1, c: 2, b: 1}. Give prob of sequence psb.
1/105
Three letters picked without replacement from {l: 1, m: 2, d: 3, z: 3, a: 1}. Give prob of sequence zaz.
1/120
Three letters picked without replacement from rbborrbbrvb. What is prob of sequence bvo?
1/198
What is prob of sequence mkv when three letters picked without replacement from {y: 1, m: 1, v: 1, k: 4, c: 1}?
1/84
Three letters picked without replacement from {e: 13, n: 3, v: 2}. What is prob of sequence nvn?
1/408
Three letters picked without replacement from {z: 2, w: 2, p: 9, m: 1}. What is prob of sequence pwz?
3/182
Three letters picked without replacement from ayayffyyyaa. Give prob of sequence yfy.
4/99
Three letters picked without replacement from zzzzzzzzzzgz. What is prob of sequence zgz?
1/12
Calculate prob of sequence at when two letters picked without replacement from {f: 1, x: 3, t: 2, a: 5, n: 5}.
1/24
Three letters picked without replacement from {d: 1, g: 1, x: 2, w: 2, y: 1}. What is prob of sequence wxy?
2/105
Two letters picked without replacement from kktgotvtt. Give prob of sequence tv.
1/18
What is prob of sequence qcc when three letters picked without replacement from cnqqqccnnqnqncnnqnqq?
4/285
Three letters picked without replacement from {m: 6, u: 4, x: 2}. Give prob of sequence xum.
2/55
What is prob of sequence pu when two letters picked without replacement from {u: 2, p: 3}?
3/10
What is prob of sequence dp when two letters picked without replacement from depdhdfhpfhdhe?
4/91
What is prob of sequence qrrq when four letters picked without replacement from frfffrrqqr?
1/210
Four letters picked without replacement from {w: 8, s: 4, y: 4}. What is prob of sequence wsyy?
4/455
Calculate prob of sequence uizu when four letters picked without replacement from {y: 1, u: 2, w: 1, j: 2, i: 1, z: 1}.
1/840
Calculate prob of sequence mmm when three letters picked without replacement from tmmmmtumtut.
2/33
Calculate prob of sequence hyy when three letters picked without replacement from whccchhhyhyhshwwywc.
7/969
Three letters picked without replacement from {r: 1, n: 1, l: 2, u: 2}. What is prob of sequence lnl?
1/60
Three letters picked without replacement from {l: 4, u: 5, e: 3, x: 4, c: 1, w: 1}. What is prob of sequence xue?
5/408
What is prob of sequence wws when three letters picked without replacement from wwrdrwrrswrrwrswwr?
7/408
What is prob of sequence ggo when three letters picked without replacement from {g: 5, o: 3}?
5/28
What is prob of sequence cqq when three letters picked without replacement from msasshqqscah?
1/660
Calculate prob of sequence umu when three letters picked without replacement from muuuuuuuuumuumuuuuuu.
34/285
Two letters picked without replacement from zrdrlz. Give prob of sequence rz.
2/15
Two letters picked without replacement from {g: 5, l: 2}. Give prob of sequence gg.
10/21
Three letters picked without replacement from {y: 1, u: 1, c: 1}. Give prob of sequence yuc.
1/6
Two letters picked without replacement from {v: 4, p: 2}. Give prob of sequence pv.
4/15
What is prob of sequence cl when two letters picked without replacement from cllcccslxchwclslc?
35/272
Four letters picked without replacement from {r: 3, c: 6, n: 7, q: 3}. Give prob of sequence cnnn.
35/2584
Four letters picked without replacement from {u: 2, y: 9, p: 2}. What is prob of sequence pupy?
3/1430
Two letters picked without replacement from {h: 1, a: 4, b: 2}. Give prob of sequence hb.
1/21
Three letters picked without replacement from {g: 3, k: 2}. Give prob of sequence ggg.
1/10
What is prob of sequence ty when two letters picked without replacement from {e: 4, p: 1, y: 4, q: 1, t: 1}?
2/55
Four letters picked without replacement from kbfkfdkdfkdddkof. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from {j: 7, p: 1, h: 4, c: 1}?
1/715
Two letters picked without replacement from llnllnl. Give prob of sequence nl.
5/21
Two letters picked without replacement from {j: 8, x: 5}. What is prob of sequence xx?
5/39
Calculate prob of sequence xxaa when four letters picked without replacement from {x: 2, a: 3}.
1/10
Calculate prob of sequence wk when two letters picked without replacement from kwkwwkwwwwww.
9/44
What is prob of sequence mppm when four letters picked without replacement from {p: 4, m: 3}?
3/35
Four letters picked without replacement from zbbjjx. What is prob of sequence bbbx?
0
What is prob of sequence ftyf when four letters picked without replacement from {y: 11, f: 3, o: 2, n: 2, t: 1}?
11/15504
Two letters picked without replacement from llupvuwpubluulblpvlu. Give prob of sequence vp.
3/190
Calculate prob of sequence smm when three letters picked without replacement from {c: 4, s: 4, v: 2, m: 9}.
16/323
What is prob of sequence gdgg when four letters picked without replacement from {g: 3, d: 13}?
1/560
Calculate prob of sequence ql when two letters picked without replacement from {q: 2, m: 1, l: 4, s: 1}.
1/7
Calculate prob of sequence ppm when three letters picked without replacement from ppmpppppmp.
7/45
Two letters picked without replacement from yyytotysyyssyyoyttoy. What is prob of sequence yy?
9/38
Three letters picked without replacement from xavvxgxxxxxxavvx. Give prob of sequence gxx.
3/140
Three letters picked without replacement from {s: 3, t: 4, f: 2, e: 1, l: 1}. Give prob of sequence tss.
4/165
What is prob of sequence yzg when three letters picked without replacement from {w: 6, z: 1, y: 5, x: 2, g: 1}?
1/546
Three letters picked without replacement from {u: 7, j: 1, x: 10}. Give prob of sequence xxj.
5/272
What is prob of sequence gvo when three letters picked without replacement from {o: 4, v: 2, g: 1, u: 2}?
1/63
Three letters picked without replacement from {e: 5, y: 1, f: 1, u: 1, c: 4, d: 1}. Give prob of sequence yud.
1/1716
Three letters picked without replacement from {c: 4, w: 1, l: 1, i: 4}. Give prob of sequence wii.
1/60
Three letters picked without replacement from {s: 3, m: 2, j: 10}. Give prob of sequence jsj.
9/91
Four letters picked without replacement from sygayygogyyc. What is prob of sequence sgag?
1/1980
What is prob of sequence lsdd when four letters picked without replacement from cdclsummd?
1/1512
Three letters picked without replacement from ligbrgn. Give prob of sequence ibr.
1/210
Two letters picked without replacement from nrnbbbzzzzrzrnf. Give prob of sequence rf.
1/70
What is prob of sequence fnnf when four letters picked without replacement from rfnfnfnffrrrrfnfnfrr?
28/2907
What is prob of sequence ml when two letters picked without replacement from lfffmmml?
3/28
Three letters picked without replacement from esses. What is prob of sequence see?
1/10
What is prob of sequence hh when two letters picked without replacement from dgyhgdhy?
1/28
Four letters picked without replacement from bfwwgwozoobz. What is prob of sequence wgoz?
1/660
Four letters picked without replacement from ccecqzqczzgcezzezz. Give prob of sequence zqzz.
7/1224
Two letters picked without replacement from vvoomoosvmwomvoosvv. What is prob of sequence mw?
1/114
Three letters picked without replacement from {y: 5, t: 3, n: 3, g: 2, z: 3}. What is prob of sequence yng?
1/112
What is prob of sequence ii when two letters picked without replacement from siiceieceaiiiae?
1/7
Four letters picked without replacement from {w: 9, a: 3, z: 2, y: 2, v: 3}. What is prob of sequence zvyw?
3/2584
Four letters picked without replacement from {u: 2, c: 10, j: 6}. What is prob of sequence jujj?
1/306
What is prob of sequence qw when two letters picked without replacement from {j: 3, q: 5, w: 1}?
5/72
Two letters picked without replacement from stttuuutsttt. What is prob of sequence ss?
1/66
Two letters picked without replacement from fffffffff. Give prob of sequence ff.
1
Four letters picked without replacement from psspppppspppsspp. What is prob of sequence spss?
11/728
Four letters picked without replacement from {d: 7, y: 8, g: 5}. What is prob of sequence yggy?
28/2907
Four letters picked without replacement from uscbsbtcuucsccsuubub. What is prob of sequence utbc?
1/969
Calculate prob of sequence zz when two letters picked without replacement from {g: 3, z: 2}.
1/10
What is prob of sequence bzh when three letters picked without replacement from zuzbh?
1/30
Two letters picked without replacement from {i: 1, r: 2, a: 1, v: 1}. Give prob of sequence ir.
1/10
Four letters picked without replacement from {m: 5, d: 3, s: 1, a: 1}. What is prob of sequence dmdm?
1/42
Three letters picked without replacement from uusuuuuuuuuuuuussuss. What is prob of sequence suu?
35/228
Two letters picked without replacement from {y: 4, c: 4, p: 3}. What is prob of sequence pc?
6/55
Four letters picked without replacement from ofoooofofo. Give prob of sequence foff.
1/120
Calculate prob of sequence axa when three letters picked without replacement from knprppkxpanpa.
1/858
Three letters picked without replacement from qooqoqhqooqqoqqoo. What is prob of sequence qoq?
28/255
Calculate prob of sequence nr when two letters picked without replacement from kkrkzknzzz.
1/90
What is prob of sequence ppp when three letters picked without replacement from {i: 3, p: 3}?
1/20
Four letters picked without replacement from {c: 3, a: 6, g: 1, i: 1, v: 1}. What is prob of sequence ccci?
1/1980
Calculate prob of sequence lpf when three letters picked without replacement from ofpofffdodpoloodllo.
4/969
Calculate prob of sequence vgog when four letters picked without replacement from {z: 2, s: 2, v: 4, g: 2, o: 1, u: 1}.
1/1485
Calculate prob of sequence mt when two letters picked without replacement from {x: 1, m: 2, t: 1}.
1/6
Two letters picked without replacement from {x: 3, d: 12, e: 2}. Give prob of sequence xx.
3/136
Calculate prob of sequence ggkg when four letters picked without replacement from {k: 5, g: 7}.
35/396
Three letters picked without replacement from pttrtgtttgtgovorvtg. What is prob of sequence orr?
2/2907
Calculate prob of sequence zzz when three letters picked without replacement from zzzzrrzzzzzz.
6/11
Two letters picked without replacement from lelllleez. Give prob of sequence ze.
1/24
Two letters picked without replacement from {k: 5, p: 2, x: 2, g: 3}. What is prob of sequence kk?
5/33
Four letters picked without replacement from xnanxnx. Give prob of sequence xnnn.
3/140
Three letters picked without replacement from {s: 1, k: 2, b: 1}. What is prob of sequence bsk?
1/12
Three letters picked without replacement from pxynuypnnnynygyxuun. Give prob of sequence npu.
2/323
Four letters picked without replacement from aayyuyaaaaayayayyyy. What is prob of sequence uaay?
9/1292
Four letters picked without replacement from pgppppppgnpgggngppp. What is prob of sequence gggg?
5/1292
What is prob of sequence ycc when three letters picked without replacement from {c: 2, y: 2}?
1/6
What is prob of sequence yz when two letters picked without replacement from xeebjjyz?
1/56
Two letters picked without replacement from nggvnginfinnrngrg. Give prob of sequence rv.
1/136
Calculate prob of sequence xe when two letters picked without replacement from {v: 4, g: 1, x: 1, e: 3, d: 10}.
1/114
Four letters picked without replacement from auuapcppcccbwubucc. Give prob of sequence cawu.
1/1530
Calculate prob of sequence qqcq when four letters picked without replacement from ccqcccqccccccccccqcq.
16/4845
Two letters picked without replacement from {f: 2, n: 4, x: 1, q: 1, d: 1}. Give prob of sequence xn.
1/18
What is prob of sequence mvmm when four letters picked without replacement from nvmnmvnnvmnvvnmnmn?
5/1224
What is prob of sequence uyy when three letters picked without replacement from {s: 1, q: 12, y: 2, u: 1, p: 1}?
1/2040
Four letters picked without replacement from vnvvvlnvj. What is prob of sequence jllj?
0
What is prob of sequence wvxv when four letters picked without replacement from {r: 1, w: 3, g: 5, x: 1, n: 1, v: 2}?
1/2860
What is prob of sequence ttzz when four letters picked without replacement from {t: 7, z: 5}?
7/
|
{
"pile_set_name": "DM Mathematics"
}
|
d the first derivative of -42*b - 14*b + 264 - 42*b - 169*b - 440*b wrt b.
-707
Let z(s) = s**2 - 7*s - 47. Let o be z(11). Let g(c) = -6*c - 11. Let f be g(o). Find the first derivative of -3 + f*r**4 + 10*r**4 - 4*r**4 - 2 wrt r.
52*r**3
Suppose 4*h - y - 3 = 0, -h + y = h + 1. Find the third derivative of -47*q + 95*q**2 + 21*q - 2*q**h + 26*q - q**4 wrt q.
-24*q
Let g(f) = 2*f**3 - f**2 - 2*f - 2. Let b be g(2). Suppose -10*n + 7*n + b = 0. Find the third derivative of -2*p**n - 7*p**3 - 21*p**3 - 2*p**2 + 2*p**2 wrt p.
-168
Let w(j) = -63*j**2 + 28*j - 1158. Let b(r) = -44*r**2 + 19*r - 772. Let d(g) = 7*b(g) - 5*w(g). What is the first derivative of d(s) wrt s?
14*s - 7
Let j(i) be the third derivative of 0 + 0*i + 37/8*i**4 + 58/3*i**3 - 64*i**2. What is the first derivative of j(r) wrt r?
111
Let a(f) = 90*f**2 + 21 + f - 99*f**2 + f - f**3. Let w be a(-9). Find the second derivative of 37*c**w + 316 - 316 + 34*c wrt c.
222*c
Let s(z) be the third derivative of -z**5/60 + 17*z**4/24 + 5*z**3/6 - 6*z**2. Let b be s(17). What is the first derivative of -8*t - 40 + 51 - b*t wrt t?
-13
Let r(v) be the second derivative of 497*v**6/30 - 2*v**3/3 - 369*v**2/2 - 365*v - 2. Find the second derivative of r(u) wrt u.
5964*u**2
Let x(h) be the first derivative of -h**4/2 - 1319*h**3/3 + 2820*h - 2043. Differentiate x(f) wrt f.
-6*f**2 - 2638*f
Let r = -836 + 839. What is the third derivative of 22*v**2 - 42*v**5 + 6*v**5 - 18*v**2 - 222 - 49*v**5 - r*v**2 wrt v?
-5100*v**2
Differentiate -713*n - 471446*n**2 - 4284 + 471448*n**2 - 50*n with respect to n.
4*n - 763
Let q(r) be the second derivative of -31/15*r**6 + 4 - 1/6*r**4 - 1/21*r**7 + 0*r**2 + 7/6*r**3 + 0*r**5 + 48*r. What is the third derivative of q(k) wrt k?
-120*k**2 - 1488*k
Suppose 6*d = 170 - 20. Let a be (14 + 2)/(4/6). Find the third derivative of 17*q**2 + a*q**2 - 45*q**2 - d*q**6 - 9*q wrt q.
-3000*q**3
Differentiate -5622*h**2 + 323 - 5088*h**2 + 9847*h**2 with respect to h.
-1726*h
Let n be (-3 + -11)/(4/(-9786)). What is the first derivative of 25*a**2 + 2*a**4 - 34251*a**3 + 112 + n*a**3 wrt a?
8*a**3 + 50*a
Let a be -4 + (0 + 2 - 44). Let m = 51 + a. Differentiate 30*f - 6 - 5*f + m wrt f.
25
Let i(b) = -48*b**2 + 13 + 36*b**3 - 4*b + 49*b**2 - 22. Let d(s) = 36*s**3 - 3*s - 8. Let t(l) = 4*d(l) - 3*i(l). Find the third derivative of t(z) wrt z.
216
Let k(d) = 2*d**2 + 3*d - 1. Let m(j) = -398*j**2 + 6*j + 4125. Let w(s) = 3*k(s) - m(s). What is the derivative of w(r) wrt r?
808*r + 3
Suppose 0 = -15*y + 212 + 403. What is the first derivative of -30 + y - 37*q**2 - 2*q + 2*q wrt q?
-74*q
Let a(p) = -p**3 - 3*p**2 - 6*p - 2. Suppose -d + 4*d + 17 = -2*f, -4*d - 24 = 4*f. Let k be a(d). What is the derivative of k*z**2 + 6 - 9 - 63*z**2 wrt z?
30*z
Let r(z) = 16*z**2 - 269*z - 271*z + 10 + 541*z. Let c(m) = -1. Let k(t) = -2*c(t) - r(t). Find the second derivative of k(f) wrt f.
-32
Let q(m) be the second derivative of -1/4*m**4 + 0*m**6 - 5/3*m**3 + 0*m**2 + 0*m**5 - 149*m + 0 - 103/42*m**7. Find the third derivative of q(a) wrt a.
-6180*a**2
Find the third derivative of -4634*c**3 - 3182*c**2 + 12*c**4 - 8*c**5 + 4632*c**3 - 1939*c**2 wrt c.
-480*c**2 + 288*c - 12
What is the second derivative of -9 + u**3 + 1751*u + 39 - u**2 + u**3 - 41*u**4 - 30 wrt u?
-492*u**2 + 12*u - 2
Let i(n) = n**2 + n - 9. Let z(y) = -3778*y**2 + 2149*y + 36. Let d(v) = -4*i(v) - z(v). Find the second derivative of d(s) wrt s.
7548
Let v(g) be the third derivative of 2251*g**6/60 - 527*g**5/60 - 488*g**2 - 3. Find the third derivative of v(w) wrt w.
27012
What is the second derivative of -38*v + 26*v + 983*v**4 + 5519*v**4 - 92*v - 1249*v**4 wrt v?
63036*v**2
Let s(c) = -368*c + 2932. Let x(l) = 41*l - 326. Let o(p) = 6*s(p) + 56*x(p). Find the first derivative of o(z) wrt z.
88
Find the third derivative of 1187*q**3 + 37931*q**2 - 14580*q**2 - 15163*q**2 wrt q.
7122
Find the second derivative of -218 + 1761*w**2 + 1915*w**2 + 5*w - 308 wrt w.
7352
Let w(a) be the third derivative of 0*a**3 + 0*a**7 - 1/168*a**8 + 1/8*a**4 + 3*a**2 + 0 - 13*a - 17/60*a**6 + 0*a**5. Find the second derivative of w(h) wrt h.
-40*h**3 - 204*h
Let u(q) = 3*q**4 + 68*q**3 + 2*q + 300. Let i(v) = -7*v**4 - 134*v**3 - 5*v - 599. Let h(w) = -2*i(w) - 5*u(w). Find the first derivative of h(j) wrt j.
-4*j**3 - 216*j**2
Let x(l) = 9289*l**2 - 28*l - 1993. Let g(r) = 6192*r**2 - 20*r - 1328. Let h(a) = -14*g(a) + 10*x(a). Differentiate h(m) wrt m.
12404*m
Let z(p) = -23*p**3 + 447*p**2 - 328*p - 9. Let c(s) = 17*s**3 - 298*s**2 + 219*s + 6. Let k(t) = -7*c(t) - 5*z(t). What is the second derivative of k(f) wrt f?
-24*f - 298
Let s(a) be the first derivative of 0*a**3 + 1/6*a**6 + 3*a - a**4 + 0*a**5 + 134 - 17*a**2. What is the second derivative of s(z) wrt z?
20*z**3 - 24*z
Let a(j) = 8*j**2 + 1348*j - 2153. Let s(h) = -15*h**2 - 2696*h + 4296. Let c(k) = -11*a(k) - 6*s(k). Differentiate c(r) with respect to r.
4*r + 1348
Let o be (-1)/(-2)*(-1 - (-82 + -9)). What is the third derivative of -o*b**2 + 40*b**2 + 182*b**2 - 165*b**5 - 2*b**4 + 79*b**5 wrt b?
-5160*b**2 - 48*b
Let q(a) be the third derivative of 0*a - 7/24*a**4 + 0 + 135*a**2 + a**3 + 1/120*a**6 - 8/15*a**5. What is the second derivative of q(r) wrt r?
6*r - 64
Suppose 17*a - 14*a - 9 = 0. Suppose 4*j = -a*f + j, 25 = 4*f - j. What is the first derivative of -f - 2*s**3 + 12*s**3 + 29 wrt s?
30*s**2
Let o(a) = -1355*a - 1104. Let p(h) = 2714*h + 2209. Let d(u) = -11*o(u) - 6*p(u). What is the first derivative of d(z) wrt z?
-1379
What is the third derivative of 12*c**3 - 27*c**3 + 928*c**5 - 2913*c**5 - 1341*c**2 + 15*c**3 wrt c?
-119100*c**2
Let y be 7/7 + (0 - 6/(-2)). Differentiate 129*b**4 + 3 - 77*b**y + 67 with respect to b.
208*b**3
Find the second derivative of -2582*h + 897*h**5 - 1129*h**5 + 4139*h**5 wrt h.
78140*h**3
Suppose -5*l + 84*t = 80*t - 100, -3*l + 60 = t. Suppose 5*j = 3*c + 210, j + 5*c - 53 = -j. Find the second derivative of -3*f + j*f - 18*f + l*f**3 wrt f.
120*f
Let w(r) = -r**2 + r + 22. Let a(v) = -v**2 - 33*v - 207. Let u(n) = -a(n) + 3*w(n). What is the derivative of u(x) wrt x?
-4*x + 36
Suppose 0 = -5*n - 2*n. Suppose -3*t + 260 - 26 = n. Find the third derivative of 37 + 41 + 4*g**4 - 26*g**2 - t wrt g.
96*g
Let w(r) = 2315*r**2 + 2*r + 3476. Let p(l) = 4631*l**2 + 5*l + 6958. Let i(u) = 2*p(u) - 5*w(u). Find the first derivative of i(x) wrt x.
-4626*x
Let k(x) be the second derivative of -922*x**5/5 + 48*x**3 - 80*x + 36. What is the second derivative of k(v) wrt v?
-22128*v
Let u(v) be the second derivative of 1651*v**4/6 + 1496*v**3/3 - 4*v + 112. Find the second derivative of u(h) wrt h.
6604
Differentiate 40 - 105*o**4 - 1046 - 1315*o**4 wrt o.
-5680*o**3
Let r = 49 + -18. Suppose 29 = 4*k - r. What is the second derivative of k*x - x + x**2 - x**2 + 14*x**4 wrt x?
168*x**2
Suppose 0 = 3*l + 3*j + 6, 37 = 4*l - 50*j + 45*j. What is the third derivative of 4621*r**2 - 2*r**3 - 4630*r**2 + 2*r**l - 97*r**4 wrt r?
-2328*r
Let d(l) be the second derivative of 0 + 24*l**2 - 67/3*l**3 - 160*l. Find the first derivative of d(s) wrt s.
-134
Let m(p) be the third derivative of -661*p**7/105 - p**5/60 - 1169*p**3/3 + 1354*p**2. What is the first derivative of m(a) wrt a?
-5288*a**3 - 2*a
Let n(o) = -o. Let i be n(-2). Suppose 166*p - 161*p + 2 = -4*m, -p = 5*m - 8. Find the second derivative of 4 + 20*s - 30*s**3 - m - i wrt s.
-180*s
Differentiate 299 - 54*u - 3*u**2 + 4*u - 1221 - 65*u + 62*u with respect to u.
-6*u - 53
Find the first derivative of 448*f**4 + 62 - 568 - 60*f**4 wrt f.
1552*f**3
Find the third derivative of 963836143*z**6 + 4*z - 963846628*z**6 + 3 - 346*z**2 - 2 wrt z.
-1258200*z**3
Let x(n) = 1512*n**2 - 11*n + 1687. Let w(d) = -3026*d**2 + 18*d - 3374. Let c(m) = -3*w(m) - 5*x(m). Differentiate c(h) with respect to h.
3036*h + 1
Find the second derivative of -823*l + 10 + 960*l**5 + 825*l + 153 wrt l.
19200*l**3
Suppose 18 - 3 = 3*x. What is the second derivative of 20 + 2*d**3 - x*d + 2*d**2 + 6*d + 3*d**3 wrt d?
30*d + 4
Suppose 3*d = -5*d + 11*d. Suppose d = 5*c - 2*m - 154, -2*c + 40 + 9 = -5*m. Find the first derivative of -3*s**4 - 15 + c*s - 32*s wrt s.
-12*s**3
Let t(n) be the third derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
-5 in ascending order.
-7, -5, -3, -1, 3
Put -1/2, -0.02, -3, 0.3 in increasing order.
-3, -1/2, -0.02, 0.3
Sort -2, 0.2, 5, 1/12 in decreasing order.
5, 0.2, 1/12, -2
Sort 0, -3, -1/12, -0.1 in descending order.
0, -1/12, -0.1, -3
Sort -2/41, -4, -3, -15/11 in ascending order.
-4, -3, -15/11, -2/41
Sort 0.01, -0.2, -62, -0.3, -1/6.
-62, -0.3, -0.2, -1/6, 0.01
Sort -2/13, 12, 30/17 in increasing order.
-2/13, 30/17, 12
Put 1, 2, -1/13, -1, 0.1 in increasing order.
-1, -1/13, 0.1, 1, 2
Sort -4, -1/29, 5 in ascending order.
-4, -1/29, 5
Sort -24, 4, -3.
-24, -3, 4
Sort 45, -5, 6, 4.
-5, 4, 6, 45
Put 0, -2, 17, -29 in increasing order.
-29, -2, 0, 17
Sort -1, 2, -0.37, 4.
-1, -0.37, 2, 4
Put 14, 5, 1/5, 0.4 in ascending order.
1/5, 0.4, 5, 14
Sort 27, 4, -4, 2, 0 in descending order.
27, 4, 2, 0, -4
Sort 0, -0.7, -0.4, 4 in ascending order.
-0.7, -0.4, 0, 4
Sort 4, -369, -2, -4, -3 in increasing order.
-369, -4, -3, -2, 4
Sort 0.4, 0.5, 2/7 in decreasing order.
0.5, 0.4, 2/7
Put 12, -0.031, -3 in increasing order.
-3, -0.031, 12
Sort -30, 1, -5, -1 in descending order.
1, -1, -5, -30
Put -1, 7, -5, 9 in descending order.
9, 7, -1, -5
Sort 1, 1/5, 28/3 in decreasing order.
28/3, 1, 1/5
Sort 0, 494, 1.
0, 1, 494
Put -5, -14, -1 in descending order.
-1, -5, -14
Put 2, -1, -0.4, -0.14, -1/3 in decreasing order.
2, -0.14, -1/3, -0.4, -1
Put -5, 129, 9 in descending order.
129, 9, -5
Put -5/2, -4, -270/29 in descending order.
-5/2, -4, -270/29
Put 5, -5, -2 in ascending order.
-5, -2, 5
Put -4, 5, 102 in decreasing order.
102, 5, -4
Sort -3, 2, -6, -5 in increasing order.
-6, -5, -3, 2
Sort 4, -4, -6, 5 in decreasing order.
5, 4, -4, -6
Sort 0.14, -5, 2/7, 7 in ascending order.
-5, 0.14, 2/7, 7
Put 4, -1, 38, 1 in descending order.
38, 4, 1, -1
Put -4, 3, 4, 5 in decreasing order.
5, 4, 3, -4
Put -2/11, -2/3, -6, 19, -1/2 in ascending order.
-6, -2/3, -1/2, -2/11, 19
Sort 5/3, -3, -0.136 in increasing order.
-3, -0.136, 5/3
Sort -0.5, 2/83, 30.
-0.5, 2/83, 30
Sort 4, -0.09, -4, 20 in descending order.
20, 4, -0.09, -4
Put 1/21, -5, 5, -1/5 in descending order.
5, 1/21, -1/5, -5
Put 0, 2, 42 in ascending order.
0, 2, 42
Sort -75, -1, -4 in ascending order.
-75, -4, -1
Put 4, 8, -20, 5, 2 in decreasing order.
8, 5, 4, 2, -20
Sort 223, 1, -2 in descending order.
223, 1, -2
Sort 3/4, -0.4, 8, -0.09 in increasing order.
-0.4, -0.09, 3/4, 8
Sort 3, -0.5, -0.3, 9/37 in decreasing order.
3, 9/37, -0.3, -0.5
Sort -1/5, -0.0022, 2/7.
-1/5, -0.0022, 2/7
Put -14, 4, -1 in decreasing order.
4, -1, -14
Put -2, -5, -298, 5 in increasing order.
-298, -5, -2, 5
Sort -4, -1, -45 in increasing order.
-45, -4, -1
Put -2/3, -3/8, 43, -4 in descending order.
43, -3/8, -2/3, -4
Put 3, -3, -3/7, -2 in descending order.
3, -3/7, -2, -3
Sort -138, 2, 1 in increasing order.
-138, 1, 2
Put -1, 10, 1 in descending order.
10, 1, -1
Sort -4/3, -0.5, 15 in descending order.
15, -0.5, -4/3
Put -2, 3, 0, 5 in decreasing order.
5, 3, 0, -2
Put -36, 2, 3, -1, -5 in decreasing order.
3, 2, -1, -5, -36
Sort -36, -4, 5 in descending order.
5, -4, -36
Put -3, 18/17, 1 in ascending order.
-3, 1, 18/17
Sort -1, 3, -0.17, -1.8, -3 in descending order.
3, -0.17, -1, -1.8, -3
Put 201, -5, 5, 3 in increasing order.
-5, 3, 5, 201
Sort 12, -8, 4, 5, -4.
-8, -4, 4, 5, 12
Put -29, 2/7, 0 in ascending order.
-29, 0, 2/7
Sort -4/9, -2/13, -1/13, 14/3, -0.3 in ascending order.
-4/9, -0.3, -2/13, -1/13, 14/3
Put 0, 4, 732, -2 in decreasing order.
732, 4, 0, -2
Put 5, 68, -6, -5 in descending order.
68, 5, -5, -6
Sort 0.2, -5, -259 in increasing order.
-259, -5, 0.2
Sort -2/5, 22, -2, 0.05.
-2, -2/5, 0.05, 22
Put -1, -0.09, 5/6, -0.7, 7 in ascending order.
-1, -0.7, -0.09, 5/6, 7
Put 78, 0.2, 2 in descending order.
78, 2, 0.2
Sort 35, 0.2, 7 in increasing order.
0.2, 7, 35
Sort -2, 90, -4, -148 in decreasing order.
90, -2, -4, -148
Sort 1, -17, -0.2, 2/3 in decreasing order.
1, 2/3, -0.2, -17
Sort 11/3, -0.2, -15 in decreasing order.
11/3, -0.2, -15
Put 4, 0.04, 2/15, -4 in descending order.
4, 2/15, 0.04, -4
Sort 0.1, -2/19, -2/7, -4/19 in descending order.
0.1, -2/19, -4/19, -2/7
Sort -1/11, -0.0167, -21 in decreasing order.
-0.0167, -1/11, -21
Put -8, -2, 32, 4, 1 in ascending order.
-8, -2, 1, 4, 32
Sort 0, 26, 11.
0, 11, 26
Sort -19, -4, 18.
-19, -4, 18
Put 44, -3, -5 in increasing order.
-5, -3, 44
Sort 41, 18, -1, -4 in decreasing order.
41, 18, -1, -4
Put -3/2, -2/9, 689 in descending order.
689, -2/9, -3/2
Sort 0, 1/6, -4/3 in descending order.
1/6, 0, -4/3
Put -5, 4, 3 in ascending order.
-5, 3, 4
Put 8, 3, -4, -2 in ascending order.
-4, -2, 3, 8
Sort 2, -736, -1/7, 4, -3 in decreasing order.
4, 2, -1/7, -3, -736
Put -1484, 5, 2/5, 3, 2 in decreasing order.
5, 3, 2, 2/5, -1484
Sort 0.06, -649, -3/7, -1, 2/15.
-649, -1, -3/7, 0.06, 2/15
Sort 0.2, -6, -2.6, -0.2 in descending order.
0.2, -0.2, -2.6, -6
Sort -9, -1, 5, -3 in decreasing order.
5, -1, -3, -9
Sort -38, -6, -4, 2 in decreasing order.
2, -4, -6, -38
Sort 0, -1, -3, 15 in ascending order.
-3, -1, 0, 15
Sort -4, -5, 17, -54, 4 in decreasing order.
17, 4, -4, -5, -54
Sort 3, 1, 2, -3 in ascending order.
-3, 1, 2, 3
Put 2.1, 0, 3, 2/11 in increasing order.
0, 2/11, 2.1, 3
Sort 18, 3, 8, -3 in increasing order.
-3, 3, 8, 18
Put -0.14, -4, -3/2, 0.8 in increasing order.
-4, -3/2, -0.14, 0.8
Sort 0.3, -3, -300, -0.1 in decreasing order.
0.3, -0.1, -3, -300
Put -5, -40, 7 in decreasing order.
7, -5, -40
Sort -5, 2, 749 in decreasing order.
749, 2, -5
Put -4, 93, 3 in increasing order.
-4, 3, 93
Sort 5, 4/9, 17, -1, 2.
-1, 4/9, 2, 5, 17
Put -2, -4, -19/53 in ascending order.
-4, -2, -19/53
Sort 3, -1611, 4 in decreasing order.
4, 3, -1611
Sort -7, -4, -15, -5, 1 in decreasing order.
1, -4, -5, -7, -15
Sort -1.5, 1/3, 1, -11 in descending order.
1, 1/3, -1.5, -11
Sort -3, 4, 11/6, -12 in increasing order.
-12, -3, 11/6, 4
Sort -17, 0, 13 in increasing order.
-17, 0, 13
Put -5, 0, -4, 4 in decreasing order.
4, 0, -4, -5
Put 369, -4, -2 in increasing order.
-4, -2, 369
Sort 3, 41, -1, -19 in increasing order.
-19, -1, 3, 41
Sort -39, 3, 6, -1, -5 in increasing order.
-39, -5, -1, 3, 6
Sort 2/3, -5/7, 1/2, -1/2.
-5/7, -1/2, 1/2, 2/3
Sort -3, 0.1, -320 in decreasing order.
0.1, -3, -320
Put 2, 25, 70/9 in descending order.
25, 70/9, 2
Put 2, 5, -0.1, 0.04 in increasing order.
-0.1, 0.04, 2, 5
Sort 5/6, 0.3918, -0.5, 3 in increasing order.
-0.5, 0.3918, 5/6, 3
Sort -2/19, -13, 3.
-13, -2/19, 3
Sort -20, 5, 0.3, -1.7, -6 in ascending order.
-20, -6, -1.7, 0.3, 5
Put -3, 5, -2, -1 in increasing order.
-3, -2, -1, 5
Put 2, 3, -1, 12 in increasing order.
-1, 2, 3, 12
Put 82/3, -0.01, -0.2, -0.3 in increasing order.
-0.3, -0.2, -0.01, 82/3
Put 0.1, 5, -5, -5/2, -1180 in descending order.
5, 0.1, -5/2, -5, -1180
Sort -0.1, -6, 2, 1/2, -1 in ascending order.
-6, -1, -0.1, 1/2, 2
Put 2/15, 1, -2, -0.03008 in descending order.
1, 2/15, -0.03008, -2
Sort -44, 4, 1, 3 in decreasing order.
4, 3, 1, -44
Sort 5, 0, 1, 3, -3 in descending order.
5, 3, 1, 0, -3
Put -5, 2, -3 in descending order.
2, -3, -5
Put 3, 0, -4, 4, -8 in ascending order.
-8, -4, 0, 3, 4
Put 7, 14, 1, -2 in decreasing order.
14, 7, 1, -2
Sort -5, 46, 4, -17 in descending order.
46, 4, -5, -17
Sort -0.4, 0.709, -4 in descending order.
0.709, -0.4, -4
Sort -112, 0.2, 2/17, 2 in increasing order.
-112, 2/17, 0.2, 2
Put -2, 32, 0.12 in descending order.
32, 0.12, -2
Put -2, 5, 12, 3 in decreasing order.
12, 5, 3, -2
Sort -2, 2, -1, -859 in ascending order.
-859, -2, -1, 2
Sort 1/32, 8, 2 in ascending order.
1/32, 2, 8
Sort 1, -3, -49, 3 in ascending order.
-49, -3, 1, 3
Put -2/133, 4/3, -1/5, 0.6 in ascending order.
-1/5, -2/133, 0.6, 4/3
Sort -630, -4, 1, 3 in decreasing order.
3, 1, -4, -630
Sort -2, 1/2, 1/25 in ascending order.
-2, 1/25, 1/2
Put -5, -18, 1, -4 in increasing order.
-18, -5, -4, 1
Sort 1, -6, -0.5 in descending order.
1, -0.5, -6
Put 0, -0.03, 0.3, -1/5, 0.2 in descending order.
0.3, 0.2, 0, -0.03, -1/5
Sort 5, 682, 4 in descending order.
682, 5, 4
Sort 5, 30.9, 2 in descending order.
30.9, 5, 2
Sort 6, -43, -1.
-43, -1, 6
Put 5, 0.4, -29/2, 0.32 in descending order.
5, 0.4, 0.32, -29/2
Sort -3, -52, 4.
-52, -3, 4
Sort -5, 1/8, -4, -6.
-6, -5, -4, 1/8
Sort 3, 1/19, 0.2 in asc
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 62
What is the n'th term of -44, -86, -156, -254, -380?
-14*n**2 - 30
What is the c'th term of 22, 51, 80, 109?
29*c - 7
What is the a'th term of 44, 67, 136, 275, 508, 859, 1352?
4*a**3 - a**2 - 2*a + 43
What is the s'th term of 69, 296, 675, 1206, 1889, 2724?
76*s**2 - s - 6
What is the y'th term of 142, 281, 420, 559?
139*y + 3
What is the j'th term of 55, 122, 191, 262, 335, 410?
j**2 + 64*j - 10
What is the c'th term of 5037, 5040, 5043, 5046?
3*c + 5034
What is the l'th term of 394, 395, 396?
l + 393
What is the l'th term of -25, 11, 71, 155, 263, 395, 551?
12*l**2 - 37
What is the m'th term of 321, 307, 261, 165, 1, -249?
-3*m**3 + 2*m**2 + m + 321
What is the l'th term of 812, 810, 808, 806, 804, 802?
-2*l + 814
What is the s'th term of -146, -294, -442, -590, -738, -886?
-148*s + 2
What is the f'th term of 2071, 4130, 6189, 8248, 10307, 12366?
2059*f + 12
What is the m'th term of 1289, 1290, 1291, 1292?
m + 1288
What is the g'th term of 10, 9, 0, -23, -66, -135?
-g**3 + 2*g**2 + 9
What is the v'th term of -43, -83, -123, -163?
-40*v - 3
What is the o'th term of -61, -120, -179?
-59*o - 2
What is the a'th term of 1553, 3103, 4649, 6191?
-2*a**2 + 1556*a - 1
What is the i'th term of -14, -24, -34, -44, -54, -64?
-10*i - 4
What is the f'th term of -29, -21, 1, 43, 111, 211, 349, 531?
f**3 + f**2 - 2*f - 29
What is the g'th term of -2350, -2346, -2340, -2332, -2322, -2310?
g**2 + g - 2352
What is the s'th term of 27, 55, 109, 195, 319, 487, 705, 979?
s**3 + 7*s**2 + 19
What is the j'th term of -461, -924, -1387?
-463*j + 2
What is the h'th term of -37, -104, -215, -370, -569, -812?
-22*h**2 - h - 14
What is the h'th term of -890, -894, -902, -914?
-2*h**2 + 2*h - 890
What is the b'th term of -4, -11, -16, -19, -20, -19, -16?
b**2 - 10*b + 5
What is the l'th term of 5913, 5914, 5915?
l + 5912
What is the w'th term of 296, 280, 238, 158, 28?
-2*w**3 - w**2 + w + 298
What is the a'th term of 215, 429, 641, 851?
-a**2 + 217*a - 1
What is the u'th term of -2223, -4437, -6649, -8859, -11067, -13273?
u**2 - 2217*u - 7
What is the z'th term of -18, -24, -24, -18?
3*z**2 - 15*z - 6
What is the i'th term of 3762, 7525, 11288, 15051?
3763*i - 1
What is the k'th term of 299, 597, 895, 1193, 1491?
298*k + 1
What is the m'th term of -54, -527, -1814, -4323, -8462, -14639?
-68*m**3 + m**2 + 13
What is the b'th term of 287, 585, 887, 1193, 1503, 1817, 2135?
2*b**2 + 292*b - 7
What is the w'th term of -1983, -1994, -2005, -2016?
-11*w - 1972
What is the m'th term of -383, -807, -1231, -1655?
-424*m + 41
What is the p'th term of 57, 102, 123, 108, 45, -78, -273?
-2*p**3 + 59*p
What is the x'th term of 67, 67, 65, 61, 55?
-x**2 + 3*x + 65
What is the n'th term of 20, 18, 14, 8, 0?
-n**2 + n + 20
What is the n'th term of 63, 128, 195, 264, 335, 408, 483?
n**2 + 62*n
What is the p'th term of -152, -161, -174, -191?
-2*p**2 - 3*p - 147
What is the a'th term of -212, -217, -226, -239?
-2*a**2 + a - 211
What is the x'th term of -5, -22, -71, -164, -313?
-2*x**3 - 4*x**2 + 9*x - 8
What is the w'th term of -1096, -2191, -3286?
-1095*w - 1
What is the j'th term of -29, -248, -829, -1952, -3797?
-30*j**3 - j**2 - 6*j + 8
What is the j'th term of 70, 175, 292, 427, 586, 775, 1000, 1267?
j**3 + 98*j - 29
What is the t'th term of 2865, 2864, 2863?
-t + 2866
What is the j'th term of -260, -515, -770, -1025, -1280?
-255*j - 5
What is the k'th term of 2590, 5176, 7760, 10342, 12922, 15500?
-k**2 + 2589*k + 2
What is the k'th term of 1, 40, 133, 304, 577, 976, 1525, 2248?
4*k**3 + 3*k**2 + 2*k - 8
What is the t'th term of 210, 429, 654, 885?
3*t**2 + 210*t - 3
What is the n'th term of 611, 618, 631, 650, 675?
3*n**2 - 2*n + 610
What is the z'th term of 430, 875, 1320, 1765?
445*z - 15
What is the c'th term of -51, -103, -155, -207?
-52*c + 1
What is the d'th term of 60, 56, 2, -126, -352, -700, -1194?
-4*d**3 - d**2 + 27*d + 38
What is the s'th term of -19, -26, -33?
-7*s - 12
What is the t'th term of 15776, 15775, 15774?
-t + 15777
What is the q'th term of 270, 282, 306, 348, 414?
q**3 + 5*q + 264
What is the n'th term of -75, -268, -575, -984, -1483, -2060, -2703?
2*n**3 - 69*n**2 - 8
What is the r'th term of 144, 146, 148?
2*r + 142
What is the s'th term of -21, -54, -109, -186, -285, -406?
-11*s**2 - 10
What is the z'th term of -81, -166, -251, -336, -421, -506?
-85*z + 4
What is the r'th term of 21, 29, 45, 75, 125?
r**3 - 2*r**2 + 7*r + 15
What is the b'th term of 330, 332, 334, 336, 338?
2*b + 328
What is the x'th term of -384, -385, -384, -381?
x**2 - 4*x - 381
What is the m'th term of -141, -139, -135, -129, -121, -111, -99?
m**2 - m - 141
What is the h'th term of 10, 13, 14, 13, 10, 5?
-h**2 + 6*h + 5
What is the y'th term of -40, -46, -56, -70, -88, -110, -136?
-2*y**2 - 38
What is the b'th term of 114, 128, 144, 162, 182, 204?
b**2 + 11*b + 102
What is the m'th term of -26, -83, -144, -209?
-2*m**2 - 51*m + 27
What is the t'th term of 14, 35, 60, 89?
2*t**2 + 15*t - 3
What is the x'th term of 45, 2, -63, -144, -235?
x**3 - 17*x**2 + x + 60
What is the z'th term of 9, 26, 55, 96?
6*z**2 - z + 4
What is the v'th term of 154, 155, 156, 157, 158?
v + 153
What is the s'th term of 18, 105, 254, 471, 762, 1133, 1590, 2139?
s**3 + 25*s**2 + 5*s - 13
What is the r'th term of -15, -83, -189, -327, -491, -675?
r**3 - 25*r**2 + 9
What is the m'th term of -589, -1177, -1765, -2353, -2941, -3529?
-588*m - 1
What is the y'th term of -103, -419, -945, -1681?
-105*y**2 - y + 3
What is the z'th term of 115, 229, 343, 457, 571, 685?
114*z + 1
What is the r'th term of 565, 595, 625, 655?
30*r + 535
What is the m'th term of 65, 277, 635, 1145, 1813, 2645?
m**3 + 67*m**2 + 4*m - 7
What is the k'th term of -579, -1170, -1761, -2352, -2943, -3534?
-591*k + 12
What is the h'th term of -56496, -56494, -56492, -56490, -56488, -56486?
2*h - 56498
What is the l'th term of 8371, 8373, 8375, 8377, 8379?
2*l + 8369
What is the y'th term of -555, -1110, -1665, -2220, -2775, -3330?
-555*y
What is the b'th term of -43, -86, -127, -166, -203, -238?
b**2 - 46*b + 2
What is the b'th term of -130, -150, -182, -232, -306, -410, -550?
-b**3 - 13*b - 116
What is the k'th term of 100, 200, 300, 400, 500, 600?
100*k
What is the a'th term of 199, 398, 597, 796?
199*a
What is the m'th term of -267, -263, -247, -213, -155, -67?
m**3 - 3*m - 265
What is the d'th term of 39, 39, 49, 75, 123, 199?
d**3 - d**2 - 4*d + 43
What is the x'th term of 184, 367, 560, 769, 1000, 1259, 1552, 1885?
x**3 - x**2 + 179*x + 5
What is the x'th term of 2, -8, -40, -106, -218, -388, -628?
-2*x**3 + x**2 + x + 2
What is the y'th term of 259, 221, 149, 37, -121?
-y**3 - 11*y**2 + 2*y + 269
What is the a'th term of -33, -29, -25, -21, -17?
4*a - 37
What is the w'th term of 948, 1893, 2836, 3777, 4716?
-w**2 + 948*w + 1
What is the n'th term of 266, 264, 264, 266, 270?
n**2 - 5*n + 270
What is the l'th term of -1310, -1300, -1286, -1268?
2*l**2 + 4*l - 1316
What is the v'th term of 212, 214, 216, 218, 220, 222?
2*v + 210
What is the s'th term of 19, 53, 127, 259, 467, 769, 1183?
3*s**3 + 2*s**2 + 7*s + 7
What is the o'th term of -111, -120, -115, -90, -39, 44, 165, 330?
o**3 + o**2 - 19*o - 94
What is the j'th term of 1431, 1432, 1433, 1434, 1435?
j + 1430
What is the r'th term of -7, -17, -27, -37, -47?
-10*r + 3
What is the t'th term of 12, 1, -26, -75, -152, -263, -414, -611?
-t**3 - 2*t**2 + 2*t + 13
What is the q'th term of 451, 906, 1361, 1816, 2271, 2726?
455*q - 4
What is the b'th term of -203, -390, -561, -710, -831, -918, -965, -966?
b**3 + 2*b**2 - 200*b - 6
What is the j'th term of 30, 48, 50, 30, -18, -100, -222?
-j**3 - 2*j**2 + 31*j + 2
What is the r'th term of -1229, -1201, -1161, -1115, -1069?
-r**3 + 12*r**2 - r - 1239
What is the q'th term of -53, -95, -137, -179?
-42*q - 11
What is the c'th term of -25, -10, 21, 74, 155?
c**3 + 2*c**2 + 2*c - 30
What is the j'th term of 2, 4, 8, 14, 22?
j**2 - j + 2
What is the l'th term of -88, -178, -268, -358?
-90*l + 2
What is the k'th term of -83, -114, -147, -182?
-k**2 - 28*k - 54
What is the w'th term of 5, 14, 39, 86, 161?
w**3 + 2*w**2 - 4*w + 6
What is the h'th term of 315, 1260, 2827, 5010, 7803?
-h**3 + 317*h**2 + h - 2
What is the w'th term of 6, -8, -44, -1
|
{
"pile_set_name": "DM Mathematics"
}
|
y + v + t*y**2 and give t.
-13
Rearrange 2*a**4 - 4*a**3 + 6*a**2 - 3*a**3 - 3*a**2 to the form f*a**4 + j*a + b + u*a**2 + w*a**3 and give w.
-7
Express (-2*a + a - a)*(-5*a**2 + a**2 + 5*a + 5*a**2 - 1)*(2*a - 4*a + 0*a) in the form c + u*a**2 + g*a**4 + w*a**3 + b*a and give w.
20
Rearrange n**2 - 3*n**2 + 6*n**2 - 6*n - 3*n**2 to the form j + z*n + q*n**2 and give z.
-6
Rearrange (-1 + 3 - 3 + (-4 + 3 - 1)*(-1 + 0 + 2) - 2 - 4 + 4)*(-12*z + 6*z - 1 + 4*z) to the form d + x*z and give x.
10
Express (b - b - 2*b)*(6*b + 4 - 4) - b**2 - 2*b**2 + 7*b**2 in the form f*b**2 + m + k*b and give f.
-8
Express -4*k**2 + 6*k**2 + 0*k**2 + (-4*k - 3*k - 4*k)*(6*k - 2*k - 2*k) as a*k + p*k**2 + h and give p.
-20
Express 5 - 5 - 5*p + (0 - 4 + 2)*(0*p + 0*p - 3*p) in the form m*p + b and give m.
1
Rearrange 2 + 345*o**4 - o + 2*o**3 + 0*o - 347*o**4 - o**2 to the form j*o + p*o**4 + m*o**2 + t*o**3 + l and give t.
2
Express -1 + 3*x**2 + 8*x**2 + 0 as y*x + s*x**2 + j and give s.
11
Express 20 + 20 - 40 - 15*w**2 in the form u*w + t + m*w**2 and give m.
-15
Rearrange 23 - 51 + 23 + 8*a to j + h*a and give h.
8
Rearrange 5*r**2 - 7*r**2 + 2*r**2 - 6*r**2 to the form f*r + u + m*r**2 and give m.
-6
Express (4 - 4 - 1)*(-10 - 3*a + 10) + (5 - 6 + 0)*(-11*a - 7*a + 3*a) in the form x*a + k and give x.
18
Express 12*x - 22*x**2 + 35*x**2 + 2 + x**4 - 14*x**2 as s + h*x**4 + q*x**2 + y*x**3 + c*x and give s.
2
Express (0 - 1 + 3 + (2 - 1 - 3)*(-3 + 0 + 1) + 0 - 3 + 2 - 2 - 1 - 4)*(0*v - v - v) as q*v + h and give q.
4
Express -3*u**2 + 2*u**2 - u**2 + (3 - 3 - 1)*(2 + u**2 - 2) + (12*u - 5*u + 3*u)*(-u + 5*u - 2*u) as a*u + k + q*u**2 and give q.
17
Express (-p + 3*p - 3*p)*(431*p - 280*p - 245*p) as g*p + w + d*p**2 and give d.
94
Rearrange -5 - 58*x + 5 + 53*x to the form a + d*x and give d.
-5
Rearrange (3 + 0 - 5)*(110 - 109 - 51*h - 3*h) to the form c + a*h and give c.
-2
Express -127*p**2 + 300*p**2 - 135*p**2 in the form x*p + g*p**2 + w and give g.
38
Rearrange (3 - 3 + 1)*(3*m**2 - 3*m**2 + 10*m**4) to v + o*m + k*m**2 + j*m**4 + z*m**3 and give j.
10
Express 13*o**3 + 2*o**3 + 82*o - 79*o as y + r*o + a*o**3 + s*o**2 and give r.
3
Express 1 - g**4 + 5 - 10*g**3 - 6 - 2*g**2 in the form c*g**4 + k + h*g**2 + v*g**3 + w*g and give v.
-10
Rearrange 5*t + 3*t + 6 - 6 to the form p + a*t and give a.
8
Rearrange s - 3*s - 3*s - 5*s + 3*s + 4*s + (-4 + 0 + 2)*(2*s - 1 + 1) + (1 - 1 - 3)*(7*s + 0*s + 0*s) to v*s + w and give w.
0
Rearrange -13 + 5 + 8 - 5*n to the form c + m*n and give m.
-5
Express p - p - 2*p**4 + (-p + p + p**2)*(0*p**2 + 0*p**2 - 2*p**2) as t*p**4 + k*p + j*p**2 + g*p**3 + h and give t.
-4
Rearrange (-50 + 0 + 7*q - 9*q)*(q - 3 + 3) to the form i + k*q + c*q**2 and give c.
-2
Express 139 - 34*s**2 - 139 as x*s**2 + h*s + u and give x.
-34
Express 3 + 4*n - 1 - 6*n + 3*n**3 as v + j*n + k*n**2 + y*n**3 and give v.
2
Express (-u + 0*u - 2*u)*(-4 - 1 + 3) + (0 - 1 + 3)*(0 + 0 + u) + 0*u + 0*u + u + u + 0*u + u in the form n + y*u and give y.
11
Express (9*b**3 - 24*b + 24*b)*(-4 + 2 + 4)*(0*b + 3*b - 2*b) - 3 + 3 + 3*b**4 in the form g*b**4 + n + w*b**2 + k*b**3 + c*b and give w.
0
Express (-2 + 2 - 3*p)*(12*p**3 - 278*p**2 + 278*p**2) in the form c*p**4 + x + l*p + n*p**3 + g*p**2 and give c.
-36
Express (0*f**3 - 3*f**3 + 0*f**3)*(2 + 2 - 1)*(4 - 1 - 1)*(4 + 4 - 3) as l + n*f**3 + a*f**2 + r*f and give n.
-90
Express (0*l**4 + 3*l**4 - l**4)*(-7 + 105 + 41) in the form r*l**3 + t*l**2 + f*l + j + c*l**4 and give c.
278
Express -l + 3*l + 0*l + 5*l in the form i*l + z and give i.
7
Rearrange 0 + 1 - 421*p - p**2 + 373*p to the form a*p**2 + o*p + c and give a.
-1
Rearrange (4*d**2 - 1 + 1)*(153*d + 17*d**2 - 153*d) - d**4 - 2*d**4 + 2*d**4 to j*d**4 + q*d**3 + l*d + x + h*d**2 and give j.
67
Rearrange (2*r - 19 + 7 + 8)*(-1 - r + 1 - 2) to the form l*r**2 + h*r + o and give l.
-2
Rearrange -3*j - j**2 - j**3 + 0*j**3 + 4*j + 3*j**2 to z*j + q*j**3 + d*j**2 + w and give d.
2
Rearrange 2*h**4 + 17*h - 29*h - 3*h**3 + 12*h + 19*h**2 to the form u*h**2 + w*h + l*h**3 + c + v*h**4 and give v.
2
Rearrange 122*k + 2*k**3 + 123*k - 246*k - k**4 - 3*k**2 to the form q*k**2 + i + g*k**4 + f*k + m*k**3 and give q.
-3
Express -2*o**2 + 2 - 10*o + 0*o**3 - 6*o**3 + 9*o + 3*o**3 as k*o**3 + h*o + m*o**2 + l and give h.
-1
Express (0*t + 2*t - 4*t + (0 + 4 - 1)*(2*t + 3 - 3))*(3 - 2 + 1) as i*t + s and give i.
8
Express (-1 - h + 1)*(6 - 6 + 11) + 5*h - 4*h - 2*h + (-1 - 2 + 1)*(3*h + 3*h - 8*h) in the form u + t*h and give t.
-8
Express -8 - i**2 - 2*i**2 - i**2 + 4 as f*i**2 + k + p*i and give k.
-4
Express -11*i**2 + 58*i**2 + 4*i + 3*i**3 - 5*i - 5*i**3 in the form r + k*i**3 + y*i + s*i**2 and give s.
47
Rearrange -26*k - 38*k + 64*k - 2*k**2 + 66*k**3 to the form u*k + f + r*k**3 + x*k**2 and give x.
-2
Rearrange -4*y**2 + 6*y**2 + y**3 - 63 + 58 to the form v*y**2 + i + f*y + s*y**3 and give v.
2
Rearrange -m**4 - m - 2*m**4 - m**2 + 2*m + 2*m**2 to d*m**2 + a*m**3 + n*m + i*m**4 + x and give i.
-3
Rearrange -2*j**2 + 39*j + j**2 - 14*j + 3*j**2 to v + y*j**2 + r*j and give y.
2
Rearrange (43*x**2 - 37*x**2 + 23*x**2)*(-3 + 2 + 0)*(1 + 3 - 2) to the form k + j*x + w*x**2 and give w.
-58
Express a + 0*a**3 - 6 + a**2 + a**3 + 7 - 4*a**2 as i*a**2 + c + k*a**3 + q*a and give c.
1
Rearrange (-33*m - m + 19*m + (-2 + 2 - 1)*(3 - 3 + m) + m + 3*m - 5*m)*(m + m - 3*m) to z + y*m + v*m**2 and give v.
17
Rearrange -20*i + 24*i - 31*i to n + p*i and give p.
-27
Rearrange (-2 + 2*v + 2)*(-3 + 2*v + 3) + (-17 - 37 + 84)*(2*v + v**2 - 6*v - v) to the form b*v + t + a*v**2 and give b.
-150
Express 6 - 3 + 4*a**2 + 1 as c + d*a**2 + z*a and give d.
4
Express (5 + 7 + 0)*(-4 - 5 + 6)*(3*y**2 - y**2 - 4*y**2) in the form k + d*y + m*y**2 and give m.
72
Express (-3 + 1 + 1 + (2 + 3 - 4)*(-3 - 15 - 1))*(0*r - 2*r + r) in the form v*r + x and give v.
20
Rearrange 18*f - 8*f + 4*f to o + r*f and give r.
14
Express -4*h**2 - 9 + h**4 + 2*h**2 - h + 6 in the form w*h**3 + o*h**4 + n*h + v*h**2 + z and give o.
1
Express (-3*f + 1 + 2*f - 2)*(1 + 4 + 0) as t + m*f and give m.
-5
Rearrange 3*m + 102*m**4 + 0*m**3 - 6 - 104*m**4 + 2*m**3 to h + f*m + x*m**2 + p*m**4 + u*m**3 and give f.
3
Express (1 + 2 - 2)*(6*j - 2*j + 2*j) + (-2 + 3 + 0)*(5*j - 3*j - 4*j) - j - 3 + 3 as h + s*j and give s.
3
Express 6*h**2 + 3*h**4 + h**3 + h**4 + 0*h**3 - 4*h**2 as d*h + m + r*h**3 + f*h**2 + c*h**4 and give c.
4
Express 9 + 12*h - 9 + (6 - 4 + 2)*(3*h + 2*h - 6*h) in the form j*h + g and give j.
8
Express 3*k - 2*k - 2*k + (2*k - 3*k + 2*k)*(0 + 1 - 3) - 76 + 39 - 112*k + 37 as m + b*k and give b.
-115
Express 3 + 2*l**2 + 2*l**2 - 3*l**3 - 3 as j*l**2 + n + b*l**3 + c*l and give j.
4
Express (2*y**2 + 0*y**2 - y**2)*(y**2 - 96 + 8*y + 96) in the form i*y + a*y**3 + z*y**2 + g + v*y**4 and give a.
8
Express 0 - 3*v**3 + 5*v**3 + 5*v**2 + 2 - 2*v**4 + 3*v**4 as j*v**2 + l*v + c*v**3 + u*v**4 + f and give j.
5
Rearrange (v - 2*v - 26 + 84)*((2 - 2 - 2*v**3)*(1 - 4 + 1) + 3*v**2 - 3*v**2 - v**3) to z*v**4 + p*v + h*v**3 + a*v**2 + u and give z.
-3
Rearrange -r**2 + 6*r**2 + 2*r + 0*r**2 - 14*r**3 - 4*r**2 to f*r**2 + i + m*r + s*r**3 and give s.
-14
Rearrange -5 - h**4 + 5 - h**2 - h**3 + 0 to d*h**4 + y*h + f*h**3 + t*h**2 + m and give f.
-1
Rearrange -30*z + 13*z - 67*z to h*z + w and give h.
-84
Rearrange (-6*z**3 - z**3 + z**2 + 0*z**3)*(-6 + 0 + 0) to the form g*z + h + s*z**2 + t*z**3 and give t.
42
Rearrange 58*g**3 - 60*g**3 - g - 2*g**2 + 2 + 2*g + 1 to the form m*g**3 + h*g + s + v*g**2 and give h.
1
Rearrange -z**2 - z - 11 - 2*z**4 + 10 - 8*z**3 + 8*z**3 to the form n*z + y + o*z**4 + k*z**2 + a*z**3 and give k.
-1
Express -2*w**2 - w**3 + 0*w**2 - 43 + 41 + 3*w in the form m + l*w**2 + b*w + k*w**3 and give b.
3
Rearrange 365 - 365 - 41*x + (-2 - 1 + 4)*(2*x + 0 + 0) to w*x + c and give w.
-39
Rearrange 3*x + 4*x - 4*x - 5*x to the form h*x + g and give h.
-2
Rearrange -6*f - 30 + 30 - f + 5*f - 2*f + (1 - 3 + 0)*(-3*f + 4*f - 3*f) - 2 + f + 2 to the form a*f + k and give a.
1
Express 7*a**3 - a**2 + 0 + 2 - 7 - 5*a**3 as p + l*a**2 + q*a + j*a**3 and give q.
0
Express (5 + 10 + 10)*(-3*h**3 + 4*h**3 + h**3) + (-3*h + 0*h + 5*h)*(2*h**2 + 5*h - 5*h) as q*h**3 + v*h**2
|
{
"pile_set_name": "DM Mathematics"
}
|
-3114 divided by 4
-1557/2
What is 10 divided by 63?
10/63
Calculate -11913 divided by 3.
-3971
What is -822 divided by -5?
822/5
453 divided by 151
3
Divide -20613 by -6871.
3
Divide 162 by 18.
9
What is 282 divided by -141?
-2
-3068 divided by 3
-3068/3
Calculate -124 divided by 62.
-2
-9020 divided by -2255
4
Divide 4560 by -2280.
-2
Divide -692 by 4.
-173
Calculate 30 divided by -2.
-15
Calculate -84 divided by -15.
28/5
Calculate -42 divided by 1.
-42
Divide -5015 by -5.
1003
What is -146 divided by 73?
-2
Calculate 147 divided by -7.
-21
-616 divided by -2
308
Calculate 504 divided by -3.
-168
Calculate -6 divided by -1716.
1/286
What is 2 divided by -458?
-1/229
Calculate 133 divided by -3.
-133/3
1088 divided by 34
32
Calculate 6138 divided by 682.
9
What is 3404 divided by -23?
-148
What is 20 divided by -16?
-5/4
-3 divided by -10
3/10
Divide 14 by 1.
14
Divide -810 by 90.
-9
Calculate -55105 divided by -5.
11021
What is -517 divided by 11?
-47
-6974 divided by 3487
-2
Divide -20 by -10.
2
Divide -5 by 9.
-5/9
Divide -335 by 2.
-335/2
What is 4 divided by 2?
2
Calculate 14 divided by -19.
-14/19
Calculate 3 divided by -279.
-1/93
3 divided by 23
3/23
What is -170 divided by -24?
85/12
Divide -184 by 8.
-23
Divide 1767 by 57.
31
What is 4 divided by -1?
-4
Divide -225 by 5.
-45
Divide -3855 by 1285.
-3
2328 divided by 4
582
What is 1 divided by -42?
-1/42
Divide -84 by -5.
84/5
Calculate 220 divided by -22.
-10
-4 divided by 60
-1/15
What is -62 divided by 31?
-2
Divide -63 by 3.
-21
3 divided by 7
3/7
9 divided by 3
3
0 divided by 244
0
Divide 37 by 37.
1
Divide -19 by 544.
-19/544
What is -8931 divided by 1?
-8931
What is 10 divided by -24?
-5/12
Divide 7 by 43.
7/43
Calculate -140 divided by 5.
-28
-499 divided by -2
499/2
Divide -468 by -52.
9
-1384 divided by 692
-2
Calculate -15 divided by -169.
15/169
Calculate 3 divided by 539.
3/539
-318 divided by -53
6
Divide 11 by -22.
-1/2
Calculate 150 divided by 3.
50
Calculate -12474 divided by 162.
-77
What is 0 divided by 69?
0
What is -664 divided by -1?
664
Divide 0 by 346.
0
Divide 670 by -4.
-335/2
Divide 530 by -5.
-106
11952 divided by 4
2988
Divide -1 by -2314.
1/2314
2602 divided by 1
2602
What is -155 divided by 31?
-5
2 divided by 162
1/81
540 divided by 9
60
-18 divided by 3
-6
-212 divided by -2
106
Divide -3171 by -5.
3171/5
What is -172 divided by 43?
-4
-1 divided by 1044
-1/1044
-4316 divided by 1
-4316
1065 divided by 71
15
Divide 107 by -5.
-107/5
Divide 1400 by -5.
-280
Divide 130 by -5.
-26
-80 divided by 5
-16
6 divided by 142
3/71
Divide 0 by -66.
0
798 divided by 38
21
Divide 26 by 3.
26/3
Calculate -555 divided by -6.
185/2
What is -6 divided by 260?
-3/130
Calculate -1 divided by -2979.
1/2979
Divide -2 by 11.
-2/11
What is 2032 divided by 8?
254
What is 0 divided by 230?
0
Calculate 4 divided by -18.
-2/9
Calculate -15 divided by -5.
3
Calculate 4770 divided by 6.
795
What is 2368 divided by 3?
2368/3
Divide 33 by -1.
-33
What is 144 divided by -4?
-36
Divide 11605 by 5.
2321
What is -1502 divided by -6?
751/3
Divide 8 by 300.
2/75
Calculate 5265 divided by -27.
-195
Divide -648 by 6.
-108
12027 divided by -5
-12027/5
-5 divided by -981
5/981
-28 divided by -86
14/43
Divide -2640 by -2.
1320
Divide -30 by -5.
6
Divide 3 by 189.
1/63
-38 divided by -181
38/181
What is -97 divided by 12?
-97/12
Calculate 7 divided by 10.
7/10
Divide 8004 by -2668.
-3
Calculate -5436 divided by 302.
-18
Calculate 0 divided by 449.
0
-252 divided by -14
18
-4144 divided by 1036
-4
Divide -1104 by 138.
-8
What is 7 divided by 1?
7
What is 0 divided by -1319?
0
Calculate -4850 divided by -97.
50
Calculate 6610 divided by 6.
3305/3
Divide -279 by 6.
-93/2
Divide 4 by -2.
-2
480 divided by -4
-120
Calculate 2 divided by 75.
2/75
What is -2 divided by -50?
1/25
Calculate -750 divided by -75.
10
Calculate -3 divided by -4500.
1/1500
-657 divided by -2
657/2
Divide -16 by -8.
2
Calculate -3 divided by 20.
-3/20
Calculate 15 divided by -15.
-1
Divide -1176 by -168.
7
Divide -1673 by -7.
239
What is 4 divided by -102?
-2/51
Calculate -225 divided by -9.
25
-191 divided by -6
191/6
1 divided by -749
-1/749
1993 divided by -1993
-1
Calculate -5 divided by -5.
1
-828 divided by -414
2
Divide 281 by 5.
281/5
0 divided by -53
0
-5 divided by 97
-5/97
216 divided by -8
-27
Divide -4959 by -261.
19
Divide -191 by 191.
-1
Calculate 4 divided by -86.
-2/43
Calculate 88 divided by -4.
-22
23 divided by -134
-23/134
96 divided by -8
-12
Calculate -10 divided by -6.
5/3
Divide -13 by 11.
-13/11
30360 divided by -6072
-5
Calculate -588 divided by 42.
-14
-18552 divided by 2
-9276
Divide -1771 by 23.
-77
53 divided by -1
-53
What is -606 divided by 202?
-3
-139 divided by -6
139/6
What is 2543 divided by -9?
-2543/9
Divide -3221 by 1.
-3221
-162 divided by 9
-18
Calculate 182 divided by -26.
-7
-66 divided by -43
66/43
106 divided by 1
106
Divide 0 by 480.
0
What is 1 divided by 481?
1/481
What is -97 divided by 79?
-97/79
Divide -1171 by -3.
1171/3
Calculate 164 divided by 82.
2
What is -114 divided by 25?
-114/25
What is 564 divided by -12?
-47
Calculate 55 divided by 11.
5
Divide -10370 by 305.
-34
-828 divided by -414
2
Divide -84 by 4.
-21
Divide -4 by -513.
4/513
Divide 1680 by -16.
-105
Calculate 3 divided by 34.
3/34
Calculate 21 divided by 36.
7/12
Calculate -2 divided by -122.
1/61
Divide -105 by -10.
21/2
260 divided by -13
-20
Calculate -3484 divided by -52.
67
What is -3580 divided by 2?
-1790
4 divided by 71
4/71
What is -100 divided by 4?
-25
What is 2271 divided by -5?
-2271/5
Divide -246 by 2.
-123
12999 divided by 619
21
-7 divided by 14
-1/2
Divide 522 by -6.
-87
What is -2 divided by 60?
-1/30
Calculate -9 divided by -13.
9/13
Calculate 8 divided by -660.
-2/165
What is 475 divided by -5?
-95
Divide 234 by -39.
-6
What is -357 divided by 13?
-357/13
2 divided by -5
-2/5
Calculate -153 divided by -3.
51
What is -156 divided by -13?
12
Divide 103 by 1.
103
Calculate 2568 divided by -856.
-3
Calculate -31171 divided by 4.
-31171/4
Calculate -1634 divided by 86.
-19
What is 33685 divided by -5?
-6737
Calculate -44 divided by 11.
-4
What is -128 divided by -63?
128/63
Calculate 38 divided by -4.
-19/2
7 divided by 2217
7/2217
Divide -25 by 136.
-25/136
Divide 6396 by 246.
26
262 divided by -2
-131
What is -31 divided by 61?
-31/61
-234 divided by -39
6
1944 divided by -324
-6
Calculate -3 divided by -3594.
1/1198
What is 588 divided by 2?
294
5 divided by 4017
5/4017
3 divided by 1375
3/1375
What is -4 divided by -16?
1/4
What is -8 divided by 1275?
-8/1275
Divide 428 by -4.
-107
Divide 38 by -73.
-38/73
What is 112 divided by 4?
28
Calculate 6 divided by -87.
-2/29
What is -3458 divided by 247?
-14
Divide -5 by 841.
-5/841
Divide 1 by -158.
-1/158
Calculate -2101 divided by -11.
191
Calculate 2 divided by -14.
-1/7
Divide 2830 by -5.
-566
What is 576 divided by 96?
6
What is -890 divided by -890?
1
What is 68 divided by -17?
-4
What is -343 divided by -343?
1
Divide -460 by 4.
-115
Divide 452 by 6.
226/3
-501 divided by -6
167/2
What is 1506 divided by 251?
6
Divide -2561 by 1.
-2561
What is 1246 divided by -1?
-1246
What is 0 divided by -443?
0
1692 divided by 2
846
What is 54 divided by -2?
-27
Divide 18 by 15.
6/5
-72 divided by 3
-24
Divide -530 by -3.
530/3
Calculate 8008 divided by 4.
2002
Calculate -4 divided by -4121.
4/4121
8638 divided by -617
-14
470 divided by -94
-5
0 divided by -595
0
What is 45 divided by 6?
15/2
What is 186 divided by 4?
93/2
Divide 564 by 6.
94
Divide -89 by 3.
-89/3
Calculate 102 divided by 125.
102/125
What is 93 divided by -3?
-31
Calculate 695 divided by -139.
-5
What is -1536 divided by 6?
-256
3987 divided by 1329
3
Calculate -3636 divided by -18.
202
Calculate -5 divided by -28.
5/28
Calculate 960 divided by -64.
-15
Divide -5503 by -3.
5503/3
Calculate -710 divided by 10.
-71
What is -2 divided by -449?
2/449
Divide 41 by 41.
1
Calculate -1 divided by 100.
-1/100
Divide 1644 by -3.
-548
Calculate 360 divided by 3.
120
Calculate 7 divided by -115.
-7/115
Calculate 2252 divided by 2.
1126
What is 208 divided by -13?
-16
Calculate -6 divided by -1.
6
105 divided by 15
7
What is 2270 divided by -1?
-2270
Divide 0 by 40.
0
34 divided by -3
-34/
|
{
"pile_set_name": "DM Mathematics"
}
|
he next term in -534, -2133, -4798, -8529, -13326, -19189?
-26118
What is next in 142, 212, 282?
352
What is next in -372, -745, -1120, -1497?
-1876
What comes next: -11, -31, -51, -71, -91?
-111
What comes next: -269, -271, -279, -299, -337?
-399
What is the next term in 578, 570, 550, 512, 450, 358, 230, 60?
-158
What comes next: -2, -60, -118, -176?
-234
What is the next term in -117, -163, -291, -543, -961, -1587, -2463?
-3631
What comes next: -40, 79, 402, 1031, 2068, 3615, 5774, 8647?
12336
What comes next: 52, 49, 46, 43?
40
What is the next term in -38, -35, -30, -23, -14?
-3
What is next in 121, 122, 123, 124, 125, 126?
127
What comes next: 1, 5, 9, 13, 17, 21?
25
What is next in 12389, 12388, 12387, 12386, 12385?
12384
What comes next: -92, -95, -108, -137, -188, -267, -380?
-533
What is next in -17, -60, -131, -230, -357, -512, -695?
-906
What is next in -69, -178, -353, -594, -901?
-1274
What comes next: -1747, -1743, -1737, -1729, -1719, -1707, -1693?
-1677
What comes next: -1031, -1031, -1041, -1067, -1115?
-1191
What is next in 3, 4, 25, 78, 175, 328, 549, 850?
1243
What is next in 456, 1787, 4006, 7113, 11108, 15991, 21762?
28421
What is next in 103, 96, 89, 82, 75?
68
What comes next: -6, 2, 24, 66, 134, 234, 372?
554
What is the next term in 14, 27, 40, 53?
66
What is next in -32, -69, -106?
-143
What is the next term in 4, -11, -52, -131, -260?
-451
What is next in 68, 131, 204, 293, 404, 543?
716
What is the next term in -60, -63, -66, -69, -72?
-75
What is the next term in 337, 387, 437, 487?
537
What comes next: 25, -8, -69, -164, -299?
-480
What is next in 28082, 28081, 28080, 28079, 28078, 28077?
28076
What comes next: 128, 192, 292, 422, 576, 748, 932?
1122
What is the next term in 401, 403, 405, 407, 409, 411?
413
What is next in 14, -67, -216, -445, -766, -1191, -1732?
-2401
What is next in 76, 76, 86, 112, 160, 236, 346, 496?
692
What is the next term in 69, 332, 779, 1416, 2249, 3284, 4527?
5984
What is the next term in 49646, 49647, 49648?
49649
What is the next term in 8, 2, -8, -22?
-40
What is next in 5784, 11570, 17358, 23148, 28940, 34734, 40530?
46328
What is next in -24, -54, -90, -132, -180, -234, -294?
-360
What is the next term in -112, -238, -364, -490?
-616
What is next in 58, 58, 70, 100, 154, 238, 358?
520
What is the next term in -9, -23, -39, -57, -77?
-99
What is next in 152, 154, 156, 158?
160
What comes next: 38, 142, 314, 554, 862, 1238?
1682
What is next in -1435, -1438, -1441, -1444, -1447?
-1450
What comes next: 15, 29, 69, 147, 275, 465?
729
What is the next term in 1229, 1233, 1237?
1241
What comes next: -1289, -2579, -3869, -5159?
-6449
What is next in -56, -81, -108, -137, -168?
-201
What is the next term in 2046, 4094, 6142, 8190, 10238, 12286?
14334
What comes next: -247, -482, -717, -952, -1187, -1422?
-1657
What comes next: -116, -266, -416, -566, -716?
-866
What is the next term in 54, 49, 44?
39
What is the next term in 6, -36, -160, -408, -822, -1444, -2316, -3480?
-4978
What comes next: 45, 41, 37, 33?
29
What is next in -74, -132, -190, -248, -306, -364?
-422
What is the next term in -56, -111, -168, -227, -288?
-351
What comes next: 95, 93, 91, 89?
87
What comes next: 57, 95, 155, 249, 389?
587
What is the next term in 54, 175, 378, 663, 1030?
1479
What is the next term in -1093, -1051, -997, -925, -829, -703, -541?
-337
What is next in 116, 221, 326, 431?
536
What is next in -95, -190, -285?
-380
What is the next term in 754, 1508, 2262, 3016, 3770?
4524
What is next in -583, -1164, -1743, -2320, -2895?
-3468
What comes next: 49, 52, 55, 58, 61?
64
What is the next term in 33, 58, 83, 108, 133, 158?
183
What is the next term in -8283, -8282, -8281?
-8280
What is next in -32, -50, -68, -86, -104?
-122
What is the next term in 249, 944, 2101, 3720, 5801, 8344, 11349?
14816
What comes next: -669, -1376, -2093, -2826, -3581, -4364, -5181, -6038?
-6941
What is next in -430, -443, -472, -523, -602?
-715
What is the next term in 47, 35, 9, -37, -109?
-213
What is the next term in -334, -376, -432, -508, -610, -744, -916, -1132?
-1398
What is the next term in -1052, -1050, -1048, -1046, -1044, -1042?
-1040
What is next in 29, 30, 31?
32
What is the next term in -911, -1823, -2735, -3647?
-4559
What comes next: 230, 236, 246, 260, 278, 300, 326?
356
What comes next: -5854, -5850, -5846?
-5842
What is next in 110, 221, 342, 479, 638?
825
What is next in -43, -80, -149, -256, -407, -608, -865, -1184?
-1571
What is next in -12, -29, -42, -51, -56, -57?
-54
What is next in -14, -54, -104, -170, -258?
-374
What comes next: 25, 47, 65, 79?
89
What is the next term in -659, -658, -657, -656, -655, -654?
-653
What is the next term in 282, 294, 320, 366, 438, 542, 684?
870
What comes next: 5, 6, 17, 44, 93?
170
What is the next term in -28, -46, -64, -82, -100, -118?
-136
What is the next term in -28, -78, -156, -256, -372, -498, -628, -756?
-876
What is next in -14, 14, 66, 148, 266, 426?
634
What comes next: 158, 236, 374, 578, 854, 1208, 1646?
2174
What comes next: 189, 469, 749, 1029, 1309?
1589
What comes next: -5, -11, -19, -29, -41, -55, -71?
-89
What comes next: -18, -47, -86, -141, -218, -323, -462, -641?
-866
What is next in -402, -801, -1200?
-1599
What is the next term in 143, 280, 417?
554
What is next in 384, 387, 390, 393, 396?
399
What is next in 50, 94, 130, 152, 154, 130?
74
What is next in 87083, 87084, 87085, 87086, 87087?
87088
What is the next term in 70, 215, 456, 793, 1226, 1755, 2380?
3101
What is next in -3, -41, -113, -225, -383, -593?
-861
What is the next term in -2277, -4557, -6839, -9123, -11409, -13697, -15987?
-18279
What is next in -294, -1125, -2508, -4437, -6906, -9909?
-13440
What is the next term in -486, -982, -1482, -1986, -2494, -3006, -3522?
-4042
What is the next term in 7579, 7578, 7577?
7576
What comes next: -35, -53, -89, -149, -239, -365, -533, -749?
-1019
What is next in -18, 1, 34, 81?
142
What is the next term in -352, -348, -342, -334, -324, -312, -298?
-282
What comes next: 222, 258, 322, 420, 558?
742
What comes next: 65, 101, 143, 191, 245?
305
What comes next: 664, 668, 672?
676
What comes next: 216, 432, 648, 864?
1080
What comes next: 21, 34, 43, 48, 49, 46?
39
What is next in 100, 116, 130, 136, 128?
100
What is next in 806, 819, 832, 845?
858
What is next in 259, 521, 783, 1045, 1307, 1569?
1831
What is next in 1530, 1524, 1508, 1476, 1422, 1340, 1224, 1068?
866
What is next in -1, 0, 1?
2
What is next in -4, -8, -10, -10?
-8
What is next in -414, -827, -1252, -1695, -2162, -2659?
-3192
What is the next term in -4, 10, 56, 152, 316, 566?
920
What is the next term in -153, -148, -141, -132, -121?
-108
What is the next term in 33, 43, 53?
63
What is next in 29, 26, 21, 14, 5, -6?
-19
What is the next term in -16, 27, 70, 113, 156, 199?
242
What comes next: -781, -3104, -6983, -12424, -19433?
-28016
What comes next: -86, -83, -80, -77?
-74
What comes next: 81, 93, 113, 141, 177, 221?
273
What is next in 432, 871, 1314, 1761, 2212, 2667, 3126?
3589
What is the next term in -617, -633, -649, -665, -681?
-697
What is the next term in -339, -678, -1025, -1386, -1767, -2174, -2613?
-3090
What is next in -355, -355, -357, -361, -367, -375, -385?
-397
What comes next: 86, 162, 238, 314, 390, 466?
542
What is next in 342, 1351, 3032, 5385, 8410, 12107?
16476
What is next in -54, -100, -146, -192?
-238
What is the next term in -233, -231, -225, -215, -201?
-183
What comes next: 39, 77, 115, 153, 191, 229?
267
What is next in 19, 93, 211, 367, 555, 769?
1003
What comes next: 1308, 1305, 1300, 1293, 1284, 1273, 1260?
1245
What is the next term in -1205, -2418, -3631, -4844, -6057, -7270?
-8483
What is the next term in -21, -37, -47, -51, -49, -41?
-27
What comes next: -144, -141, -136, -129?
-120
What is next in 143, 144, 145?
146
What is next in 830, 1663, 2508, 3371, 4258?
5175
What is the next term in 112, 113, 114?
115
What comes next: -37, -192, -463, -862, -1401?
-2092
What is next in 77, 79, 71, 47, 1, -73, -181, -329?
-523
What comes next: 314, 309, 304, 299?
294
What comes next: 21, 60, 105, 156, 213?
276
What comes next: 71, 91, 139, 227, 367, 571?
851
What comes next: -83, -159, -237, -317, -399, -483?
-569
What comes next: -6, 24, 10
|
{
"pile_set_name": "DM Mathematics"
}
|
he m'th term of -1895669, -3791345, -5687025, -7582709, -9478397, -11374089, -13269785?
-2*m**2 - 1895670*m + 3
What is the y'th term of 10055, 40324, 90769, 161390, 252187, 363160, 494309?
10088*y**2 + 5*y - 38
What is the q'th term of -63757, -127491, -191219, -254941, -318657, -382367, -446071?
3*q**2 - 63743*q - 17
What is the n'th term of 1390, -13477, -38256, -72947, -117550, -172065, -236492?
-4956*n**2 + n + 6345
What is the g'th term of 15083941, 15083937, 15083919, 15083881, 15083817, 15083721, 15083587, 15083409?
-g**3 - g**2 + 6*g + 15083937
What is the r'th term of 243849, 243823, 243795, 243765, 243733, 243699, 243663?
-r**2 - 23*r + 243873
What is the r'th term of 6342478, 6342482, 6342488, 6342496, 6342506, 6342518, 6342532?
r**2 + r + 6342476
What is the i'th term of -188, -2568, -9046, -21674, -42504, -73588, -116978?
-342*i**3 + 3*i**2 + 5*i + 146
What is the x'th term of -933765, -1867528, -2801291, -3735054, -4668817?
-933763*x - 2
What is the z'th term of 28479, 56653, 84827, 113001, 141175?
28174*z + 305
What is the z'th term of 147006, 294432, 441858, 589284, 736710?
147426*z - 420
What is the t'th term of -640287366, -640287363, -640287358, -640287351?
t**2 - 640287367
What is the h'th term of -94681, -189358, -284047, -378754, -473485, -568246?
-h**3 - 94670*h - 10
What is the q'th term of 2165, 4161, 5975, 7601, 9033, 10265?
-q**3 - 85*q**2 + 2258*q - 7
What is the u'th term of 127933, 128121, 128309?
188*u + 127745
What is the m'th term of -3957, -8370, -13257, -18618, -24453?
-237*m**2 - 3702*m - 18
What is the r'th term of -933006, -932986, -932966, -932946, -932926?
20*r - 933026
What is the c'th term of 1258385, 1258363, 1258329, 1258277, 1258201, 1258095, 1257953, 1257769?
-c**3 - 15*c + 1258401
What is the x'th term of -22490, -44788, -67082, -89372, -111658?
2*x**2 - 22304*x - 188
What is the f'th term of 104672, 208927, 313194, 417479, 521788?
f**3 + 104248*f + 423
What is the c'th term of 34, -116, -500, -1232, -2426?
-19*c**3 - 3*c**2 - 8*c + 64
What is the n'th term of -1723505, -3447037, -5170569, -6894101?
-1723532*n + 27
What is the i'th term of 514, -22764, -85956, -209018, -411906, -714576?
-3326*i**3 - i**2 + 7*i + 3834
What is the z'th term of 243779, 487215, 730651?
243436*z + 343
What is the k'th term of -60628, -60948, -61268, -61588, -61908?
-320*k - 60308
What is the j'th term of 239, -380, -2001, -5104, -10169, -17676?
-80*j**3 - 21*j**2 + 4*j + 336
What is the p'th term of 11212, 6078, 958, -4148, -9240, -14318, -19382?
7*p**2 - 5155*p + 16360
What is the u'th term of -100, -316, -880, -1954, -3700, -6280?
-27*u**3 - 12*u**2 + 9*u - 70
What is the v'th term of -7207846, -7207854, -7207862, -7207870, -7207878?
-8*v - 7207838
What is the m'th term of -1992938, -1992851, -1992762, -1992671?
m**2 + 84*m - 1993023
What is the t'th term of -598, -1856, -3834, -6532, -9950, -14088, -18946?
-360*t**2 - 178*t - 60
What is the u'th term of -4186, -16854, -38002, -67630, -105738, -152326?
-4240*u**2 + 52*u + 2
What is the i'th term of -2016255, -2016256, -2016257, -2016258, -2016259?
-i - 2016254
What is the r'th term of -181745, -727017, -1635815, -2908139, -4543989, -6543365?
-181763*r**2 + 17*r + 1
What is the a'th term of 10974584, 21949167, 32923752, 43898339, 54872928, 65847519?
a**2 + 10974580*a + 3
What is the t'th term of -333846, -1335742, -3005614, -5343456, -8349262, -12023026, -16364742, -21374404?
t**3 - 333994*t**2 + 79*t + 68
What is the g'th term of 184243, 184258, 184273?
15*g + 184228
What is the b'th term of 174, 910, 2842, 6576, 12718?
101*b**3 - 8*b**2 + 53*b + 28
What is the n'th term of 5183753, 5183759, 5183769, 5183783, 5183801?
2*n**2 + 5183751
What is the i'th term of -894290, -894299, -894308, -894317, -894326, -894335?
-9*i - 894281
What is the v'th term of 3694, 14172, 31636, 56086, 87522, 125944?
3493*v**2 - v + 202
What is the k'th term of 1359615, 2719924, 4080233, 5440542, 6800851, 8161160?
1360309*k - 694
What is the d'th term of 243417, 968578, 2177179, 3869220, 6044701, 8703622?
241720*d**2 + d + 1696
What is the y'th term of -4472101, -8944364, -13416627?
-4472263*y + 162
What is the l'th term of 453303, 453096, 452889, 452682?
-207*l + 453510
What is the p'th term of 27229, 26920, 26611?
-309*p + 27538
What is the h'th term of 7510, 15118, 22730, 30346, 37966?
2*h**2 + 7602*h - 94
What is the l'th term of 27105, 108994, 245669, 437130?
27393*l**2 - 290*l + 2
What is the z'th term of -9797173, -19594355, -29391537, -39188719, -48985901, -58783083?
-9797182*z + 9
What is the c'th term of -640456, -1280935, -1921444, -2561983, -3202552?
-15*c**2 - 640434*c - 7
What is the z'th term of 612013580, 612013578, 612013574, 612013568, 612013560?
-z**2 + z + 612013580
What is the m'th term of -5817, -16097, -26377?
-10280*m + 4463
What is the j'th term of 143589, 143662, 143793, 143988, 144253, 144594, 145017, 145528?
j**3 + 23*j**2 - 3*j + 143568
What is the c'th term of 609909, 1220267, 1830625?
610358*c - 449
What is the q'th term of 6362, 12738, 19126, 25526, 31938?
6*q**2 + 6358*q - 2
What is the i'th term of 29114513, 58229025, 87343537, 116458049?
29114512*i + 1
What is the i'th term of -13509, -26309, -38389, -49749?
360*i**2 - 13880*i + 11
What is the q'th term of -53042, -52900, -52758?
142*q - 53184
What is the w'th term of 4563, 9505, 14803, 20457, 26467, 32833, 39555?
178*w**2 + 4408*w - 23
What is the m'th term of 9085, 37183, 84323, 150541, 235873?
6*m**3 + 9485*m**2 - 399*m - 7
What is the h'th term of -930492, -1861004, -2791516, -3722028?
-930512*h + 20
What is the z'th term of 15307, 15634, 15947, 16246?
-7*z**2 + 348*z + 14966
What is the x'th term of -377029, -377016, -377003, -376990?
13*x - 377042
What is the s'th term of 6346, 6071, 5786, 5485, 5162, 4811, 4426, 4001?
-s**3 + s**2 - 271*s + 6617
What is the c'th term of 3088504, 6177003, 9265502, 12354001, 15442500?
3088499*c + 5
What is the p'th term of 912540, 912541, 912542, 912543, 912544, 912545?
p + 912539
What is the w'th term of -1234996, -2469990, -3704984, -4939978, -6174972, -7409966?
-1234994*w - 2
What is the x'th term of 339, -185, -709, -1233, -1757?
-524*x + 863
What is the h'th term of -55891, -111963, -168037, -224113, -280191, -336271, -392353?
-h**2 - 56069*h + 179
What is the c'th term of 28597557, 57195115, 85792673, 114390231, 142987789, 171585347?
28597558*c - 1
What is the k'th term of -1090, -10623, -26510, -48751?
-3177*k**2 - 2*k + 2089
What is the h'th term of -140776, -140278, -139780, -139282, -138784?
498*h - 141274
What is the y'th term of -368770, -368745, -368704, -368647, -368574?
8*y**2 + y - 368779
What is the q'th term of -40618, -42437, -44270, -46123, -48002?
-q**3 - q**2 - 1809*q - 38807
What is the d'th term of 267843, 267148, 266451, 265752, 265051, 264348, 263643?
-d**2 - 692*d + 268536
What is the j'th term of 994411, 3977704, 8949867, 15910900?
994435*j**2 - 12*j - 12
What is the q'th term of 62056, 122775, 183496, 244219?
q**2 + 60716*q + 1339
What is the n'th term of 8272, 15422, 22572, 29722, 36872?
7150*n + 1122
What is the r'th term of 23657, 48374, 74153, 100994, 128897, 157862?
531*r**2 + 23124*r + 2
What is the n'th term of 96235, 384969, 866213, 1539967, 2406231, 3465005?
96255*n**2 - 31*n + 11
What is the d'th term of -130, 41, 800, 2435, 5234, 9485?
48*d**3 + 6*d**2 - 183*d - 1
What is the w'th term of 102657, 102669, 102679, 102687, 102693?
-w**2 + 15*w + 102643
What is the l'th term of 27995, 27526, 27057, 26588?
-469*l + 28464
What is the l'th term of -3812, -3903, -4042, -4253, -4560, -4987, -5558?
-4*l**3 - 63*l - 3745
What is the s'th term of 209, 1049, 2461, 4451, 7025?
s**3 + 280*s**2 - 7*s - 65
What is the f'th term of 12737, 25036, 37335, 49628, 61909, 74172, 86411, 98620?
-f**3 + 6*f**2 + 12288*f + 444
What is the o'th term of 17508, 140255, 473550, 1122705, 2193032, 3789843, 6018450, 8984165?
17552*o**3 - 38*o**2 - 3*o - 3
What is the n'th term of 170980, 341980, 512974, 683962?
-3*n**2 + 171009*n - 26
What is the a'th term of -25802, -103103, -231890, -412157, -643898, -927107, -1261778?
a**3 - 25749*a**2 - 61*a + 7
What is the l'th term of -2775, -2674, -2547, -2400, -2239, -2070?
-l**3 + 19*l**2 + 51*l - 2844
What is the g'
|
{
"pile_set_name": "DM Mathematics"
}
|
l(i) = 184*i**2 + 1112*i + 7. Let s be l(-6). Let w(x) = 4*x**2 + 168*x + 170. Calculate w(s).
6
Let f = 687 + -680. Let x(t) be the first derivative of t**4/4 - 8*t**3/3 + t**2/2 - t - 125. What is x(f)?
-43
Let x(y) = -3*y**2 - 12*y - 2. Suppose 221*v + 116 = 192*v. Give x(v).
-2
Let o(x) = 2*x**3 - 28*x**2 + 6*x + 3. Let f(a) = 5*a**3 - 57*a**2 + 4*a + 7. Let t(h) = -3*f(h) + 7*o(h). Determine t(-26).
-104
Let c(l) = 2*l**2 - 593*l - 596*l + 3 + 1787*l - 594*l. Suppose -5*r - 36 = 4*u, -u - 4*r - 32 = 3*u. Calculate c(u).
19
Let w(c) = c**3 + c**2 - 7. Let x be w(0). Let r(t) be the first derivative of t**4/4 + 8*t**3/3 + 9*t**2/2 - t - 598. What is r(x)?
-15
Let b(h) = 5*h - 26. Let o be b(8). Let d(u) = -36 + 19 - 2*u + o. Give d(3).
-9
Let t(d) be the third derivative of -2*d**2 + 0*d + 0 - 1/60*d**5 - 1/3*d**3 - 3/8*d**4. Let v(r) = -r**3 - r**2 - r - 8. Let f be v(0). Calculate t(f).
6
Suppose -111*b = -131*b. Let o(l) = l**2 - l + 3. Let f(k) = 29 - 2*k**2 + 4*k**2 - 22 - 2*k. Let w(a) = -6*f(a) + 13*o(a). What is w(b)?
-3
Suppose 56*p + 100 = -4*o + 52*p, -6*o + 3*p = 132. Let c(a) = -a**2 - 48*a - 574. Determine c(o).
1
Let g(t) be the third derivative of -7*t**4/24 - 47*t**3/6 - 5*t**2 + 145*t. Calculate g(-7).
2
Let y(t) = -t**2 + 9*t + 2. Let j(o) = 50*o**2 + 46*o**2 + 8*o - 97*o**2 + 3. Let h(d) = 3*j(d) - 2*y(d). What is h(6)?
5
Suppose -a + 25 + 8 = 0. Let y(z) = a*z**2 - 14 - 6*z - z + 37*z**2 - 71*z**2. Calculate y(-4).
-2
Let z(u) be the first derivative of u**3/3 + 8*u**2 - 4*u - 6077. What is z(-14)?
-32
Let y(n) = n**3 + 4*n**2 - n + 4. Let v be y(4). Suppose -38*x - 4*d = -36*x - 268, -d + 135 = x. Let c = v - x. Let k(i) = -i - 12. Determine k(c).
-4
Let f(h) = -56*h - 550. Let k(s) = -10*s. Let j(t) = -f(t) + 4*k(t). Calculate j(-34).
6
Let z(c) be the first derivative of 4*c**3/3 - 9*c**2 + 19*c - 820. Determine z(4).
11
Let y(r) = -5*r + 26. Let j = 1252 - 1246. Determine y(j).
-4
Let n(a) be the first derivative of a**3 - 11*a - 622. What is n(0)?
-11
Let c be (-159)/53 - (-1 + -2 + -2). Let b(j) = 4*j**2 - 7*j + 7. Let v(r) = -5*r**2 + 8*r - 8. Let f(z) = -6*b(z) - 5*v(z). Give f(c).
6
Let r(c) = -32*c + c**2 + 9*c + 19 - 10*c + 20 + 0. Determine r(32).
7
Let s be -23 + 0 + (-1 - -14). Let q(i) = 5*i + 5. What is q(s)?
-45
Suppose -5*j = -4*j + 5*p - 15, 3*j - 6 = -2*p. Suppose 8*c - 10*c + 4 = j. Suppose -3*f + 3 = h - c, f + 3*h - 7 = 0. Let m(b) = 10*b + 1. Calculate m(f).
11
Let o(x) = x**3 - 6*x**2 + 7*x - 6. Suppose 2*h + 3*h = 300. Let m be -50 - (2/(-6) + (-798)/(-126)). Let t = h + m. Determine o(t).
-10
Suppose 75*t + 263 = -562. Let n(j) = 4*j**3 - 8 + 11*j - 7 - 3*j**3 + 12*j**2 + 0*j**2. Determine n(t).
-15
Let i(x) = -3*x - 22. Suppose 57*b = 61*b - 12. Suppose 0 = 5*a - b*a - u + 15, -a - 10 = -3*u. Calculate i(a).
-1
Let l(f) be the first derivative of 1/3*f**3 + 39 + 10*f - 9/2*f**2. Calculate l(7).
-4
Let c(d) = -d**2 + 8*d - 2. Let f(j) = -j. Let v(a) = 19*a**2 + 6*a - 2. Let h(s) = 3*f(s) + v(s). Let g be h(1). Let t = 25 - g. Give c(t).
13
Suppose 14*f = 10*f + 16. Suppose -4*t = -f*j - 31 + 11, t = -4*j - 10. Let w(y) = -y + 2*y**2 - 3*y**t - 2*y**2 - 3*y**2. Calculate w(-1).
-5
Suppose 4*t = -12, -4*t + 187 + 26 = 5*c. Let w = 43 - c. Let q be (-2)/w*-1*(10 + -15). Let j(m) = m**3 - 4*m**2 - 5*m - 5. Calculate j(q).
-5
Let y(z) = 4753 - 3*z - 4747 + 0*z. Suppose 5 = 2*v - 3*v. Calculate y(v).
21
Let r(f) = -1742 - 1720 + 5*f**2 + f**3 - 20*f - 3*f**3 + 3*f**3 + 3385. What is r(-6)?
7
Let f(q) = 39*q**2 - q - 1. Let j(u) = -129*u**2 + 4*u + 3. Let l(v) = -7*f(v) - 2*j(v). Determine l(-1).
-13
Suppose 5*p - 4*o - 160 = 0, p - 11*o - 32 = -12*o. Let x(k) = 52*k + p*k - 89*k - 4. Suppose -2 = -4*i - 5*w, w = -6*i + 2*i + 10. What is x(i)?
-19
Let r = 456 - 444. Let k(s) = -2*s**3 + 23*s**2 + 11*s + 17. What is k(r)?
5
Let a(s) = 5*s**2 - 26*s + 27. Let b(k) = -6*k**2 + 18*k - 22. Let m(g) = 3*a(g) + 4*b(g). Give m(-2).
-31
Suppose 0 = w - 213 + 42. Let h = w - 178. Let z(o) be the first derivative of o**4/4 + 8*o**3/3 + 7*o**2/2 + 9*o + 2. What is z(h)?
9
Suppose 2*i - 5*l - 7 - 27 = 0, -4*l - 68 = -4*i. Let t(n) = n**2 - 20*n + 51. Let b be t(i). Let m(f) = f - 26. What is m(b)?
-26
Let p(h) = h**3 - 6*h**2 + 7*h + 1. Suppose 30 + 272 = -2*u. Let y = 156 + u. Calculate p(y).
11
Suppose 7*p - 1054 = -872. Let i(t) = -t**2 + 28*t - 39. Determine i(p).
13
Let p(q) be the first derivative of 3*q**2/2 + q + 2294. Let z = -7 + 6. Give p(z).
-2
Let d(u) = 16 + 134*u - 52*u**2 + 21*u**2 - 157*u + 30*u**2. Determine d(-21).
58
Let x(z) = 23*z + 18*z - 58*z + 62 + 18*z + 17*z. What is x(-4)?
-10
Let n(z) = 311*z**2 - 18*z + 326*z**2 - 954*z**2 + 10 + 318*z**2. Determine n(8).
-70
Let m(n) = -21 - 10*n**2 + 1 - 6 - 8*n**2 + 1879*n**3 + 20*n - 1878*n**3. Determine m(17).
25
Let c(s) = -s**3 + 5*s**2 + 10*s - 14. Let x be c(7). Let a = x + 44. Let u(l) = 3*l**a + 158 - 152 - 2*l**2 - l. What is u(0)?
6
Suppose 0*a - 5*a = t - 15, -5*a - 2*t = -15. Suppose 4*z - 19 = -a*i, -5*z = -2*i + i - 19. Let x(k) = -k**2 - k + 5*k - 4*k - 6 + 5*k. What is x(z)?
-2
Let g = 23 + -21. Let c(m) = 13*m - 14. Let r be c(g). Let u(x) = r + 11 - 7 - x - 2. What is u(0)?
14
Let n(w) be the second derivative of -w**3/6 - 41*w**2/2 + 2630*w. Give n(-15).
-26
Let h(t) = t**2 - 14*t + 6. Let k = 20125 + -20107. Give h(k).
78
Suppose 4*n = 5*n + 8. Let c(a) = -3*a**3 - 11*a**2 - 13*a + 80. Let o(h) = -h**3 - h**2 - 4*h + 41. Let d(g) = c(g) - 2*o(g). Calculate d(n).
-26
Let p(q) = -4*q. Let k(v) = v - 1. Let m(f) = 5*k(f) + p(f). Let s = -342 - -344. Suppose -5*i - 15 = s*a - 2*i, 5*i = -2*a - 25. Give m(a).
-5
Suppose 41*o - 6*o + 30*o - 195 = 0. Let c(t) = 15*t + 6. Calculate c(o).
51
Let z = 2979 + -2974. Let q(o) = -5*o**3 + 4*o**3 - 4 + 2 + 6*o - 3 + 4*o**2. Give q(z).
0
Let z(p) = 2*p**3 - 8*p**2 + 5*p - 36. Let d be z(4). Let o(k) = 3*k - 7. What is o(d)?
-55
Suppose -4*h + 2*j + 98 = 0, h + 4*j - 8 = -j. Suppose o + h = 18. Let m(b) = b**3 + 7*b**2 + 10*b + 1. Calculate m(o).
1
Let u(d) = -24*d. Let a be u(-1). Suppose 42*y - 46*y = -a. Let p(r) = -r - 10*r**2 - y*r**2 + 15*r**2 - 2. Calculate p(-4).
-14
Let s be (-15)/60 + ((-74)/(-8) - 0). Let y(v) = -v**3 + 8*v**2 + 7*v + 9. Give y(s).
-9
Let t(q) = 6412 + 42*q + 14*q - 6401 - 5*q. Determine t(-3).
-142
Let s(j) = -j**3 + 34*j**2 + 8*j - 28. Let y be s(34). Let i = -237 + y. Let b(t) = -t**2 + 3*t - 2. Give b(i).
-30
Let m(y) = 15*y - 9 - 34*y + 11*y + 11*y. Let q be m(6). Let d(z) = 7*z + q - 1 - 5*z + 1. Calculate d(-7).
-5
Suppose -109*r = 25*r - 6*r + 640. Let n(m) = 3*m + 1. Let h(y) = 4*y + 1. Let v(w) = -5*h(w) + 6*n(w). Give v(r).
11
Let p(a) = -a**3 - 11*a**2 + 12*a. Let y be p(-12). Suppose -5*w - 5*h = -h + 66, y = w + 3*h + 22. Let t(d) = -d**3 - 10*d**2 - 5. Give t(w).
-5
Let k = -302 + 316. Suppose 3*s + 7 + k = 0. Let v(z) = -z**2 - 4*z + 9. Determine v(s).
-12
Let w(f) = f**2 - 12*f + 4. Suppose 3*g = -g, -4*j + 5*g = -180. Suppose -4*z - 3*o = -j, 2*z + 21 = 4*z + 3*o. Determine w(z).
4
Suppose -4*v + 52 = -4*y, 3171*y - 3166*y + 11 = -v. Let d(w) = w**3 - 4*w**2 - 45*w + 2. Give d(v).
2
Let h(y) be the first derivative of 23*y**5/120 + 31*y**3 - 292. Let k(i) be the third derivative of h(i). Calculate k(1).
23
Let u(k) be the third derivative of -5/12*k**4 - 5/3*k**3 + 0 + 1/60*k**5 + 0*k - 12*k**2. Calculate u(8).
-26
Let l(v) = -34 - 7304*v + 3660*v + 3653*v. What is l(4)?
2
Let t(u) = u**2 + 5*u - 84. Let g be t(-12). Let p(v) = v**2 + 96. What is p(g)?
96
Suppose -2*f + x = 12 - 13, -f + 3 = 2*x. Let q(m) = 4*m**3 - 8*m - f + 10*m**2 - 5*m**3 + 0 - 18*m**2. Calculate q(-7).
6
Let i(x) = -128*x - 1991. Let p(g) = 32*g + 441. Let u(n) = 2*i(n) + 9*p(n). Give u(1).
19
Let m(a) = 29286*a - 29286*a + a**2. Give m(1).
1
Let z(x) = -10 + 8 - 3. Let r(n) = -n - 40. Let v(c) = 2*r(c) - 22*z(c). Give v(13).
4
Let h(x) = -4*x**3 - 1. Suppose 2*r + 20 = -5*q, r + 8 = 5*r - 2*q. Suppose r = -4*c - 39 + 55. Let f be (-2*4)/c - -3. Give h(f).
-5
Let n(s) = 15*s - 1. Let t(v) = 1 + 0 - v + 3*v - 2. Let g(l) = -n(l) + 4*t(l). Calculate g(-2).
11
Let y = -2852 - -2860. Let x(m) = 9*m - 29. Let u(k) = 3*k - 10. Let r(h) = -7*u(h) + 2*x(h). What is r(y)?
-12
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
x (b) q (c) 4
c
Let s = 0.18 + -0.38. What is the second biggest value in s, 1, 0.3?
0.3
Let p be ((-2)/(-1))/(-4 + 1). Let c = -0.055 + 0.055. What is the third smallest value in c, -0.04, p?
c
Let d = 9.2 - 9. Let v = -1 - 0. Which is the third biggest value? (a) -1/8 (b) v (c) d
b
Let y = -105 - -104.9. What is the second biggest value in 1/6, y, 2, 1/2?
1/2
Let q be 10 - (5*(-3)/(-15) + 4). Let l be (-3)/6 - (-2)/1. Which is the third smallest value? (a) -1 (b) q (c) l
b
Let i = -10.818 + 0.118. Let f = -5.83 - i. Let n = f + 0.13. Which is the third smallest value? (a) 4/3 (b) n (c) 2/5
b
Let q = 19 + 0. Suppose 5*z = 2*d - 9 - 13, -5*z = d + q. Let o be (-12)/14 - 0/4. What is the third biggest value in 3, d, o?
o
Let v = -0.9 - -1.9. What is the second smallest value in 2, 3, v?
2
Let v be (1 + 4)/(5/5). Let h = 4.3 + -9.3. What is the second biggest value in v, h, 2/5?
2/5
Let h = -0.4 + 0.6. Let i = h - 0. Let w = 15 - 15. Which is the third smallest value? (a) w (b) -1/3 (c) i
c
Let i = -0.33 - -0.03. What is the smallest value in -3, -2, 5, i?
-3
Suppose 4*j - 5*r = 41, 4*r + 24 = -2*j + 3*j. Suppose -j - 5 = 3*y. Let g = y + 25/9. Which is the smallest value? (a) 0.5 (b) -3 (c) g
b
Let f = -7 - -9. Let w be 9/(-6)*6/15. What is the biggest value in w, f, 3/5?
f
Let l = -34 - -135/4. Let z = 41 - 30. Let p = 10 - z. Which is the smallest value? (a) 1 (b) l (c) p
c
Let d = 3.57 - -1.13. Let p = -0.7 + d. Which is the biggest value? (a) p (b) 7 (c) -3
b
Let x = -0.02 + -0.18. What is the third smallest value in 6, -0.5, x?
6
Let j = 1.1 + -3.6. Let u = j + 2. Let h be (-2)/(-10)*(-10)/8. What is the biggest value in h, -4, u?
h
Let b = 26 - 8. Let t = -17.9 + b. What is the biggest value in -1/8, 1/2, t?
1/2
Let h be (-2)/(-4)*12/(-42). Let g = 1.2 - 0.2. Which is the second smallest value? (a) g (b) h (c) 1/12
c
Let t = 25/4 + -317/52. Which is the biggest value? (a) -0.3 (b) -5 (c) t
c
Let v = -221/3 + 73. Which is the third biggest value? (a) 5 (b) v (c) -0.1
b
Let w = -0.03 - 1.07. Let a = w + -3.9. What is the third biggest value in a, 0, 4?
a
Let g = -217/15 - -44/3. Let o = 2 - 2.05. What is the third biggest value in o, -0.4, g?
-0.4
Let m = 1.27 - 1.27. Which is the smallest value? (a) 2 (b) m (c) 1/8
b
Let r be 6/(-15)*(-4)/28. Let v = 1/86 - 45/172. Which is the second biggest value? (a) r (b) v (c) 4
a
Let s be 3 + (1 - 2)/(-1). Let l = -1007/4 + 251. What is the second biggest value in s, l, -5?
l
Let x = -1 + 0.6. Let s = -0.15 + 0.55. What is the third biggest value in x, -0.2, s?
x
Let n = 62.5 + -62. Let o = 34 - 29.1. Let x = 0.9 - o. What is the third smallest value in -1, x, n?
n
Let f be ((-1)/1)/((-2)/18). Let z be 6/(-8)*(-2)/f. Let s = 7/184 + 2/23. What is the smallest value in -4, s, z?
-4
Let n = -20 + 18.9. Let f = -0.2 + -0.6. Let r = n - f. What is the smallest value in 0, r, -5?
-5
Suppose 4*u - 3*z = 5, -2*u - 2 + 8 = 2*z. Let k be u/(-3) + (-14)/6. Let d = k + 4. Which is the second biggest value? (a) 0.1 (b) d (c) -1/10
a
Let t = -7.1 - -8. Let z = -1 + t. What is the smallest value in z, 0, -1?
-1
Let z be 22/(-44)*(-4)/3. Let o be -1*1 + 3/12. Let y be (4/(-30))/((-1)/(-10)). Which is the third smallest value? (a) y (b) o (c) z
c
Let m = -39 + 39.4. Which is the second biggest value? (a) 2/11 (b) 4 (c) m (d) 0
c
Let l be 15*(15/9 + -2). Let d be ((-2)/l)/(24/10). Let t be (-2)/(-4)*(-4)/(-11). Which is the second biggest value? (a) t (b) d (c) 0.1
b
Let p = -0.03 + -0.02. Let g = p - -0.15. Let z = g - -0.4. Which is the third smallest value? (a) 0.4 (b) z (c) -2/5
b
Let j = -11 + 11.2. What is the second smallest value in -4, 1/2, j?
j
Suppose 9*j - j = -24. What is the fourth biggest value in 0, j, -5, -0.5?
-5
Let l = -0.26 + 1.26. What is the smallest value in -3/7, -1/5, l?
-3/7
Let y = -0.92 + 1. Let t = -2.34 - -7.42. Let w = t - y. Which is the second smallest value? (a) -1 (b) -2/7 (c) w
b
Let h = -2.7 + -0.8. Let c = h - -3. Let a = -187.5 + 188. What is the third smallest value in -5, a, c?
a
Let n = 12.6 + -14. Let d = n + 0.4. Let o be (12/(-8))/(6/(-8)). Which is the third biggest value? (a) d (b) o (c) 2/7
a
Let n = -1.96 - 0.04. Let l = -2.2 - n. Let u = -1.8 + l. Which is the biggest value? (a) 5 (b) u (c) 4
a
Let y = 52 - 55.1. Let w = y + 3. Let x = 0 - w. Which is the third biggest value? (a) x (b) 2/5 (c) -2/9
c
Let t = 17.2 - 17.2. What is the biggest value in t, -2/23, 0.5?
0.5
Let h = -1.33 + 0.33. Which is the third smallest value? (a) -0.1 (b) 2/7 (c) h
b
Let n = 2 - 3. Let k be (15/60)/(n/10). Which is the second biggest value? (a) -5 (b) k (c) 0.5
b
Let q = 1.1 - 0.1. Let k = -4.92 + -0.08. Which is the second smallest value? (a) q (b) 0.5 (c) k
b
Let l = -13.6 - -13.66. What is the third smallest value in -14, l, -1/2?
l
Let o = 0.092 + 0.008. Which is the second smallest value? (a) 2 (b) 1/4 (c) o
b
Suppose 9 = 2*w + 1. Let s = 18.11 + -18. Let m = s - -4.89. What is the biggest value in m, w, -1?
m
Let p = -2 + 8/3. Let q = 18 + -35/2. Let l = 0.5 - 0.7. What is the smallest value in l, q, p?
l
Suppose 5*c = 10 + 20. Let f be 2/4*22 - 2. Let m = f - c. What is the third smallest value in -1/5, 4, m?
4
Let r = 23.7 - 22.43. Let d = -0.07 + r. Let i = d + -1. Which is the biggest value? (a) -2/3 (b) i (c) 1/2
c
Let b = -0.4 - -1.31. Let r = b + 0.09. What is the smallest value in r, 4, 1/6?
1/6
Suppose 5*x + 4 = -2*o + 11, -3*o + 2 = -x. What is the biggest value in x, -8, -4?
x
Let y = -17.9 - -18. What is the fourth smallest value in y, 1, 1/2, -1?
1
Let h = -0.1 + 0. Let y = -2/579 - 63/386. Let l = 0.1 + 0.4. Which is the smallest value? (a) y (b) h (c) l
a
Let k be 10/12 - 1/(-2). Let l = -488 + 487.1. Which is the second smallest value? (a) l (b) -5 (c) k
a
Let o = -49 + 49.59. Let z = 0.09 - o. Which is the third biggest value? (a) -4/7 (b) z (c) 5/2
a
Let z = -1 - -4. Let s = 11.7 - -2.3. Let l = s + -15. What is the smallest value in l, z, 4?
l
Let p(q) = q**2 - 3*q + 1. Let l be p(4). What is the third biggest value in l, 3, -1/5?
-1/5
Let m = 3 + -3. Let i = m - 0. Let r be (-2*3/24)/(-2). What is the third smallest value in r, 4, i?
4
Let d = -5.5 + 5.1. Let r(f) = -5*f + 3*f**2 + f**2 + 10*f + 2 + f**3. Let i be r(-3). Which is the second smallest value? (a) i (b) -5 (c) d
a
Let j = -6.09 - -0.09. Let g = 5.7 + j. What is the biggest value in g, 2, 4?
4
Let w = 3 + -2.8. Let q = w + -0.1. What is the smallest value in 0, q, 2?
0
Let u be (2/(-12))/((-19)/(-38)). Which is the smallest value? (a) 1 (b) -5 (c) u
b
Let v = -113 - -112.6. What is the smallest value in -1, 2/17, v, -8?
-8
Let q = -19 - -28. Let u = 9.5 - q. Which is the third smallest value? (a) u (b) 1/9 (c) -5
a
Let z = 3 + -2. Let b = -0.09 + -8.91. Let k = b + 9.1. What is the smallest value in -3, k, z?
-3
Suppose 2*d = 11 + 9. Let n = 15 - d. Let u = 1 + -5. Which is the smallest value? (a) n (b) u (c) -0.3
b
Let o = 0.037 + -0.137. Let s = 0.2 + 1.8. Let u = 11 - 31/3. What is the second smallest value in s, u, o?
u
Let j = 0.4 - -0.1. Let t(s) = -s**2 + 4*s + 3. Let n be t(3). Let x = 10 - n. Which is the third smallest value? (a) x (b) j (c) -0.3
a
Let v = -44/7 - -169/28. Let m = -0.6 + -3.4. Which is the smallest value? (a) v (b) m (c) 5/3
b
Let n = 123 + -123.3. Which is the second smallest value? (a) n (b) -5 (c) -6
b
Let d be 18/(-30)*(28/(-9) - -2). What is the fourth biggest value in 1.1, -3/2, d, 3/2?
-3/2
Let l = 6 + -17/3. Let q = 0.2 + -0.2. Let b = q - 2. What is the smallest value in -2/17, b, l?
b
Suppose -12 = 5*m + 8. Which is the second biggest value? (a) -2 (b) -2/13 (c) m
a
Let z = 975.03 - 979. Let d = -6 + 5.97. Let t = z + d. Which is the second biggest value? (a) 2/11 (b) t (c) -2
c
Let l = 0 + -0.3. Let q = 0.2 - l. Let y = 2 + -9/5. What is the biggest value in -3, q, y?
q
Let k be 0*2*1/4. Let r(p) = p - 8. Let s be r(10). Suppose -3*j + 3*q = k, 3*j + s*q = 2*j - 6. What is the biggest value in j, 5, 0.4?
5
Let s = -0.2 - -1. Let z = -6 - -5. Let o = z + s. What is the smallest value in o, -3, -1?
-3
Let z(o) = o**3 + 4*o**2 - 1. Let m be z(-
|
{
"pile_set_name": "DM Mathematics"
}
|
= o + -24. Let k = -8 - -16. What is the remainder when x is divided by k?
7
Suppose -16 = -0*b - 4*b. Suppose 2*d + 5*w + b = 0, 29 = 5*d - 3*w - 23. What is the remainder when 21 is divided by d?
5
Let l(v) = -12*v**3 - v**2 - v - 1. Calculate the remainder when (-1)/(((-4)/248)/(1/2)) is divided by l(-1).
9
Let q = -45 + 47. What is the remainder when q is divided by 1?
0
Suppose o + q = 12 + 6, -5*q = 2*o - 48. What is the remainder when o is divided by 8?
6
Let o = 23 + -19. Suppose 4*s + 4*p - 20 = 0, s - 4*p + 10 = o*s. What is the remainder when 19 is divided by s?
9
Let a = 29 - 1. What is the remainder when a is divided by 6?
4
Suppose 5 + 3 = 2*d. Suppose -2*o = -6*o + 2*g - d, 2*g = 4. Suppose o = -b - a + 6*a + 16, -a + 64 = 4*b. What is the remainder when b is divided by 9?
7
Let d(v) = v**3 + 4*v**2 - 7*v - 1. Let a be 7/(2 + -3) - -2. Calculate the remainder when 35 is divided by d(a).
8
Suppose -5*x + 2*y + 297 = 0, -x - x = -4*y - 106. Let f = -31 + x. Suppose -f - 70 = -5*d. What is the remainder when d is divided by 11?
9
Suppose 5*u - 3*o + 443 = 0, -3*u - u - 357 = -5*o. What is the remainder when 14 is divided by 2/3 - u/12?
6
Let a(k) = 19*k**2 + 2*k + 1. Let n be a(-1). What is the remainder when 27 is divided by -6 + 3 + n + 0?
12
Let m = -12 + 25. Let s(l) = 2*l + 22. What is the remainder when m is divided by s(-9)?
1
Let l(j) = j**3 - 2*j**2 + 3*j - 2. Suppose -2*p - 1 = -5. Let h = 3 + p. What is the remainder when h is divided by l(2)?
1
Let b(x) = -18*x - 11*x + 22*x. What is the remainder when b(-10) is divided by 24?
22
Suppose -4*g + 0*g = -124. Calculate the remainder when g is divided by 8.
7
Let h(m) = -m**2 - 9*m + 8. Let w be ((-3)/6)/((-1)/(-16)). What is the remainder when 30 is divided by h(w)?
14
Suppose -3*y = -p - 27 - 189, -y - 4*p = -72. Suppose -w - 3*w = y. Let a = -12 - w. What is the remainder when a is divided by 4?
2
Suppose -4*m = 3*b - 19, -1 = -5*m - b + 31. What is the remainder when m is divided by 4?
3
Suppose 0 = -2*x - 3*x - 140. Let c = x + 44. What is the remainder when 30 is divided by c?
14
Let o(h) = -h**3 + 3*h**2 + 4*h - 1. Suppose 3*i + 2*y = 3*y + 128, -2*i - 4*y = -76. Calculate the remainder when i is divided by o(3).
9
Suppose 5*c - 65 = -4*l, -c = 4*l - 9 - 4. What is the remainder when 76 is divided by c?
11
Suppose 2*u + 3*u = -40. Suppose -h - 6 = -3*h. Let x = h - u. What is the remainder when 20 is divided by x?
9
Let f = 0 + -2. Let h = 21 + -7. What is the remainder when (-6)/(-4)*28 + f is divided by h?
12
Let h be (-111)/(-2) - 4/(-8). Suppose 2*k - 33 = -v, 2*k - h - 46 = -4*v. Calculate the remainder when v is divided by 3/(3*3/36).
11
Suppose -10 - 4 = -2*q. What is the remainder when 13 is divided by q?
6
Let c(p) = p**3 - p**2 + 40. What is the remainder when c(0) is divided by (54/12)/(6/28)?
19
Calculate the remainder when 20 is divided by (-44)/(-7) - (-12)/(-42).
2
Suppose -l - 2417 = s, 321 - 5145 = 2*s - 3*l. Let h be (-1)/(-2) - s/14. Calculate the remainder when h/4 + (-5)/20 is divided by 22.
21
Suppose 0 = -107*y + 112*y - 170. What is the remainder when y is divided by 3?
1
Let p be (42/8)/((-12)/(-32)). Let r = p - 8. Let y(a) = 17*a**3. What is the remainder when y(1) is divided by r?
5
Let w(c) = 5*c + 2. Let u be w(5). Let g = -19 + u. Let d = 35 - g. Calculate the remainder when d is divided by 10.
7
Let y = 12 + 2. What is the remainder when y is divided by 5?
4
Calculate the remainder when 40 is divided by (-27)/(-2) - 3/(-2).
10
Let a = 4 + -3. Suppose -l - a = -3. Calculate the remainder when 2 is divided by l.
0
Suppose 18 = 5*v - 2*v. Suppose 5*z + 2*q - v = z, 2*q - 4 = -3*z. Suppose 0 = 3*x - 7*x + 16. What is the remainder when x is divided by z?
0
Calculate the remainder when 73 is divided by 20/(-25)*285/(-6)*1.
35
Suppose n - 407 = -4*c, n = 4*n + 3*c - 1221. Calculate the remainder when n is divided by 12.
11
Let r(c) be the third derivative of c**4/12 - c**3/3 + 3*c**2. Let p be r(6). Suppose 0 = 4*t + t - p. What is the remainder when 4 is divided by t?
0
Suppose 2*i = w + 6*i - 22, i = 4. Let d = 9 + -7. Calculate the remainder when (5 + 2)*6/d is divided by w.
3
Let a = -4 - -8. Suppose 59 = a*y + 3. Calculate the remainder when (3/2)/((-9)/(-156)) is divided by y.
12
Suppose -3*k = -9 - 6. Let x = k - -3. Let i(v) = -4*v - 6. Calculate the remainder when i(-7) is divided by x.
6
Let d(g) = -g**2 + 7*g. Let z be d(8). Let i = 8 - z. Calculate the remainder when i is divided by 6.
4
Let l(x) = -x**2 + 15*x. Calculate the remainder when l(9) is divided by 14.
12
Let r(h) = 11*h. Suppose 0 = -3*p + 18 + 21. Suppose p = 4*v - 35. What is the remainder when r(2) is divided by v?
10
Let c = 31 + -20. Let o be 56/12*(2 + 1). Calculate the remainder when 298/o + (-2)/7 is divided by c.
10
Let i(b) = -23*b**3 - 3*b**2 + 5*b + 3. Calculate the remainder when i(-2) is divided by 21.
18
Suppose -11 = 2*w - 1. Suppose 0 = 2*m + 4 - 14. Calculate the remainder when (-2 + w)*2/(-1) is divided by m.
4
Let l be 3*(6/(-3))/6. Let u = 3 - l. What is the remainder when 7 is divided by u?
3
Suppose -p - p + 16 = k, 3*k + 4*p - 56 = 0. Calculate the remainder when k is divided by 7.
3
Suppose -4*z - 2*z + 168 = 0. Calculate the remainder when z is divided by 8.
4
Suppose -5*n - 9 - 156 = 0. What is the remainder when 2/5 + 196/10 is divided by (-1 - -2)/((-3)/n)?
9
Let j = 95 - 81. Suppose -2*h = -4*h + 3*t + 65, 0 = -4*h - 5*t + 75. Calculate the remainder when h is divided by j.
11
Suppose -2*u + u = -23. Suppose 0 = -y - r - 14, -u = y + 5*r + 7. What is the remainder when y/(-2) - (-3)/(-3) is divided by 2?
0
Suppose 2*v + 30 + 40 = 5*q, -4*q = -4*v - 44. Calculate the remainder when 95 is divided by q.
15
Let m = 28 + -1. Calculate the remainder when 103 is divided by m.
22
Let c = 0 - -4. What is the remainder when 9 is divided by c?
1
Let u = 91 + -60. Let w(y) = -y**2 + 7*y - 1. Let t be w(6). Suppose 0 = 4*n - 16 + 4, 4*n - 92 = -t*g. Calculate the remainder when u is divided by g.
15
Suppose 3 = 2*w + 1. Let d(n) = -195*n**2 + n. Let t be d(w). What is the remainder when (-8)/20 + t/(-10) is divided by 10?
9
Let h = -1 + 1. Let w(n) = n**2 - 4*n + 1. Calculate the remainder when w(5) is divided by (h + -8)*5/(-10).
2
Let x(h) = -2*h**2 - 31*h - 15. Calculate the remainder when 104 is divided by x(-14).
23
Suppose -3*g + 66 = -0*g. Let p be 3/(2*(-1)/(-2)). Suppose z = p*y - z - 32, -3*y + 46 = 5*z. What is the remainder when g is divided by y?
10
Let h = -78 + 129. Let m = -30 + h. What is the remainder when -1 + 3 + 58 + 2 is divided by m?
20
Suppose -5*p + 2*b + 327 = 0, -4*p - 5*b = -358 + 70. Calculate the remainder when p is divided by 10.
7
Suppose 0 = -7*s + 3*s + 60. Suppose 2*j - 3*j + 159 = 0. Let w = j + -102. Calculate the remainder when w is divided by s.
12
Let a(i) = i**3 + 6*i**2 + 4. What is the remainder when a(-5) is divided by 10?
9
Let s be (340/(-30))/((-2)/(-108)). What is the remainder when 26 is divided by 4/10 + s/(-45)?
12
Let i(f) = f**2 + f + 2. Let h be i(0). Suppose -h*q + 2 = -8. Suppose 4*d = 4*l + 8*d, 0 = -d - q. Calculate the remainder when 9 is divided by l.
4
Let a = -16 - -20. What is the remainder when 31 is divided by a?
3
Suppose -w = -z + 3, 23 = 5*z + 5*w - 2. What is the remainder when 11 is divided by z?
3
Let x(k) = -k**3 - k**2 + k + 13. Let c = 13 - 13. What is the remainder when 49 is divided by x(c)?
10
Let h = 148 + -81. Calculate the remainder when h is divided by 17.
16
Let m be 1576/36 - (-2)/9. Suppose o - m = -o. What is the remainder when o is divided by 8?
6
Let c(b) be the first derivative of -b**3/3 + b**2/2 + 2*b + 1. Let t be c(0). Calculate the remainder when (t/(-3))/(1/(-39)) is divided by 14.
12
Let c(u) = u**3 + 9*u**2 + 6*u - 11. Calculate the remainder when 14 is divided by c(-8).
4
Let u(w) = w**2 - 5*w - 37. What is the remainder when u(11) is divided by 17?
12
Suppose -3*w = -2*r - w + 42, 0 = 5*w + 25. What is the remainder when 45 is divided by r?
13
Suppose 3*j + 2*g = -5, 0*j + 3*j - 3*g = 15. Let m(y) = 1 - 10*y - 3 + 2 - j. Calculate the remainder when m(-2) is divided by 11.
8
Let v = -3 + 5. Suppose -94 = -v*s + 18. Suppose -5*h - 3*m + 92 = 0, 5*m -
|
{
"pile_set_name": "DM Mathematics"
}
|
(u)).
2*u**2
Let x(z) = -z. Let i(c) = 3076*c. What is i(x(o))?
-3076*o
Let p(b) = b**2 + 11*b + 2. Let i be p(-11). Let s(x) = i*x - 2*x + x. Let c(n) = 12*n - 7. Let d(r) = 4*r - 2. Let m(g) = 2*c(g) - 7*d(g). Determine m(s(u)).
-4*u
Let m(n) = -2*n**2 - 10*n. Let r(w) = 13*w**2. Calculate m(r(d)).
-338*d**4 - 130*d**2
Let g(k) be the second derivative of -k**3/3 - k. Let u(r) = 17*r**2. Determine u(g(i)).
68*i**2
Let r(u) = u**2. Let j(b) be the first derivative of -4*b**3/3 - 8. Determine j(r(q)).
-4*q**4
Let w(k) = 31*k. Let q(m) = -7*m**2 - 4*m. Let z(f) = 6*f**2 + 3*f. Let n(r) = -3*q(r) - 4*z(r). Calculate n(w(x)).
-2883*x**2
Let k(f) = -f. Let i(g) = -25*g. What is k(i(t))?
25*t
Let m(g) = 5*g**2 + 0*g**2 - 4*g**2. Let k(y) = -126 - 3*y + 126. Calculate m(k(l)).
9*l**2
Let m(j) = -j. Let c(f) be the first derivative of f**6/120 - f**3 + 2. Let a(u) be the third derivative of c(u). Give a(m(r)).
3*r**2
Let x(c) = -c. Let y(d) = -2*d + 5. Let u be y(-7). Let i = u - 12. Let t(o) = -2*o - i + 7. Give t(x(h)).
2*h
Let a(h) = h. Let u(p) = -1. Let i(c) = -4*c - 15 + c + 13. Let f(s) = i(s) - 2*u(s). Give f(a(z)).
-3*z
Let b(u) = -2*u. Let a(k) = 0*k**2 - k**2 - k**2. Calculate a(b(c)).
-8*c**2
Let v(j) = -5*j. Let w(f) = 495*f**2. Determine w(v(b)).
12375*b**2
Let x(p) = -2*p. Let h(r) = -710*r**2. Determine h(x(z)).
-2840*z**2
Suppose 3*v - v = 0. Let l(p) = 2*p**2 + p + 1. Let x be l(-1). Let y(z) = v + 0 + 5*z**x. Let w(n) = 2*n**2. Calculate w(y(m)).
50*m**4
Let f(k) = -8*k**2. Let y(x) = -32*x. Give f(y(a)).
-8192*a**2
Let n(y) = 291*y. Let w(p) = -p**2. Give n(w(b)).
-291*b**2
Let z(t) = -t**2 - 8*t + 4. Let r be z(-8). Let w(m) = m - r*m + 2*m. Let n(k) = -2*k. What is n(w(u))?
2*u
Let j(v) = -29*v**2. Let x(c) = -6*c. Give x(j(u)).
174*u**2
Let n(r) = -2*r. Let p(x) = 6*x - 12. What is p(n(q))?
-12*q - 12
Let o(k) = 2 + 2*k**2 - 2. Let n(m) be the third derivative of 0 - 1/12*m**4 + 0*m + 0*m**3 + 4*m**2. Determine n(o(z)).
-4*z**2
Let b be 45/10*2/3. Let x(h) = 0 + b*h + 0. Let y(c) = -c - 2. Let s(u) = 4*u + 7. Let r(t) = -2*s(t) - 7*y(t). What is x(r(z))?
-3*z
Let s(j) = -2*j. Let o(t) = -28*t**2 + 9*t. Determine o(s(u)).
-112*u**2 - 18*u
Let b(t) = 4*t**2 + 3*t + 3. Let p(i) = 5*i**2 + 4*i + 4. Let g(w) = -4*b(w) + 3*p(w). Let s(a) be the third derivative of a**5/5 + a**2. Give g(s(z)).
-144*z**4
Let r(c) = -3*c**2 + 0*c**2 + c**2. Let u(p) be the second derivative of p**5/60 + 3*p**3/2 + 6*p. Let w(f) be the second derivative of u(f). What is w(r(y))?
-4*y**2
Let o(p) = -2*p. Let f(y) be the second derivative of y + 0*y**2 + 0*y**3 - 1/12*y**4 + 0. Give f(o(b)).
-4*b**2
Let k(z) = -13*z. Let j(r) be the third derivative of r**5/20 - r**4/6 + 2*r**2. Let o(d) = 4*d**2 - 5*d. Let b(y) = -5*j(y) + 4*o(y). Determine b(k(f)).
169*f**2
Let u(x) = 17*x + 5. Let k(q) = 42*q + 12. Let s(a) = 5*k(a) - 12*u(a). Let f(p) = 2*p. What is s(f(h))?
12*h
Let a(p) = 2*p. Suppose 0*h - 10 = -5*h. Let w(n) = 3*n**2 - 5*n**h + 5*n**2. Give a(w(b)).
6*b**2
Let s(r) = 24*r. Let w(a) = 7*a**2 + 5*a. Let p(f) = f**2 + f. Let h(n) = -5*p(n) + w(n). What is s(h(k))?
48*k**2
Let q(r) = -r. Let m(l) = -1. Let g(y) = 1. Let o(k) = -2*g(k) - m(k). Let z(x) = x + 2. Let s(h) = -4*o(h) - 2*z(h). What is s(q(d))?
2*d
Let c(d) = 4*d**2 + 3*d**2 - 5*d**2. Let x(h) = 14*h - 30*h + 14*h. What is c(x(i))?
8*i**2
Let v(w) = -5*w**2. Let x(a) = -18*a**2 + 1. Calculate v(x(c)).
-1620*c**4 + 180*c**2 - 5
Let s(y) = 5*y**2 - 3*y**2 + 0*y**2. Let p(d) = 29*d**2 + 17. Let w(b) = -5*b**2 - 3. Let c(x) = 6*p(x) + 34*w(x). Calculate c(s(j)).
16*j**4
Let h(b) = 5*b**2. Let c(s) = -197*s**2. Give h(c(p)).
194045*p**4
Let l(o) = o. Let y(i) = i**2 + 434. What is l(y(a))?
a**2 + 434
Let g(f) = -2*f**2. Let k(d) = -6*d - 91. Give k(g(b)).
12*b**2 - 91
Let q(g) = -g**2. Let c(o) = -1183*o**2 + 221. Let r(u) = 16*u**2 - 3. Let x(i) = -6*c(i) - 442*r(i). What is x(q(l))?
26*l**4
Let a(g) = 6*g. Let s(l) be the second derivative of -l**6/180 + l**3/2 + 3*l. Let i(h) be the second derivative of s(h). Give a(i(m)).
-12*m**2
Let a(z) = -4*z. Let x(d) = -577 + 577 - 2*d. Determine x(a(i)).
8*i
Let d(p) = -2*p. Let v be ((-1)/(-4))/((-4)/(-48)). Let z(m) = -25*m. Let i(s) = 2*s. Let f(u) = v*z(u) + 40*i(u). Calculate d(f(j)).
-10*j
Let c(x) = 7*x. Let t(n) = 4*n - 280. Give t(c(y)).
28*y - 280
Let g(c) = -2*c**2. Let s(z) be the second derivative of 11*z**4/3 + 18*z. What is s(g(q))?
176*q**4
Let a(m) = 2*m**2. Let q(w) = 1616*w + 2. Calculate q(a(z)).
3232*z**2 + 2
Let h(q) = -10 + 37*q - 7 + 17. Let a(j) = -3*j. What is h(a(s))?
-111*s
Let m(h) = 2*h. Suppose 14 = 4*l + 6, 0 = n + 4*l - 14. Let s(f) = -6*f. Let r(z) = n*s(z) + 17*m(z). Let g(i) = 5*i + 5*i**2 - 5*i. What is g(r(u))?
20*u**2
Let w(h) = -9*h. Let m(t) = -1676*t**2. Determine m(w(x)).
-135756*x**2
Let s(u) be the second derivative of -u**3/6 + 2*u. Let m(f) = -8*f**2 + 14*f**2 + 6*f**2 + f**2. Give s(m(n)).
-13*n**2
Let t(b) = 3*b**2. Let s(a) = 20*a**2 - 3*a. Calculate t(s(n)).
1200*n**4 - 360*n**3 + 27*n**2
Let o(s) = -2*s. Let f(g) = -2968*g**2. Determine f(o(t)).
-11872*t**2
Let l(b) = b + 1 + 0 - 1. Let d(x) be the second derivative of 2*x**3/3 - 4*x. What is l(d(r))?
4*r
Let z(y) = 31*y + 1. Let a(r) = r. Calculate a(z(b)).
31*b + 1
Let s(f) = 9*f**2. Let b(j) = 4*j + 1. What is b(s(p))?
36*p**2 + 1
Let t(h) = 5*h - 5*h - 5*h - h. Let d(q) = q. Give t(d(v)).
-6*v
Let b(g) = 2*g - 15. Let t(d) = -5*d**2. Determine t(b(q)).
-20*q**2 + 300*q - 1125
Let y(x) = -26*x - 35. Let s(d) = d. Calculate s(y(q)).
-26*q - 35
Let n(c) be the second derivative of 5*c**4/6 - 4*c. Let r(i) = 2*i**2. Calculate r(n(a)).
200*a**4
Let i(m) = -m - 1. Let p = -11 + 5. Let j(r) = 4*r + 3. Let w(b) = p*i(b) - 2*j(b). Let o(k) = 5*k. Calculate w(o(q)).
-10*q
Let b be 95/35 + (-2)/(-7). Let j = 7 - b. Let d(y) = -j - 3*y**2 - 2 + 6. Let l(w) = w**2. Determine d(l(p)).
-3*p**4
Let c(f) = 2*f - 4. Let i be c(3). Let t(h) be the first derivative of 4/3*h**3 + 0*h + 0*h**i - 3. Let v(n) = n. Give v(t(d)).
4*d**2
Let w(i) = 5*i - 5*i - 3*i. Let u(c) = -3*c. Determine u(w(q)).
9*q
Let c(x) = x**2 + 35*x. Let l(a) = -11*a. Calculate c(l(j)).
121*j**2 - 385*j
Let a(q) = 6*q. Let p(w) = 1053*w**2. Determine p(a(b)).
37908*b**2
Let g(f) = -5*f. Let t(i) = -82*i + 82*i + 4*i**2. Give t(g(s)).
100*s**2
Let j(k) = -13*k. Let x(p) = 3*p - p**2 + 2 + 3*p - 4*p + 4*p**2. Let t(f) = 4*f**2 + 3*f + 3. Let o(m) = 4*t(m) - 6*x(m). Give j(o(w)).
26*w**2
Let u be (-80)/(-36) + (-4)/18. Let p(d) = 6*d**2 + 2*d**2 + 0*d**2 - 3*d**u. Let k(n) = -3*n. Calculate p(k(l)).
45*l**2
Let j(d) = -3*d**2. Let a(q) = -17*q - 24. Give j(a(l)).
-867*l**2 - 2448*l - 1728
Let g(k) = -k. Let u(z) be the third derivative of -7*z**5/20 + 8*z**2. What is u(g(l))?
-21*l**2
Let x(b) = 14*b. Let i(f) = 3*f. Calculate i(x(o)).
42*o
Let g(f) = -2*f**2. Let j(t) = 219*t**2. Determine j(g(m)).
876*m**4
Let k(s) = -125*s + 1. Let c(y) = y**2. Determine c(k(w)).
15625*w**2 - 250*w + 1
Let o(v) = 12*v + 9. Let t(d) = 3*d + 2. Let w = -3 + 5. Let b(u) = w*o(u) - 9*t(u). Let j(c) = -2*c**2. What is j(b(z))?
-18*z**2
Let k(h) = -8*h**2. Let a(j) = j**3 + 2*j**2 - j. Suppose -5*z + z + 4 = 0. Let y be a(z). Let x(s) = -s + s + s**2 - y*s**2. Give x(k(g)).
-64*g**4
Let p be (-8)/2 - (-7 - 0). Let u(d) = 4*d - 4*d - 4*d + p*d. Let g(s) = s. Calculate u(g(q)).
-q
Let o(h) = -13*h. Let w(m) = m. Let i(x) = 2*o(x) + 22*w(x). Suppose -3*y - r + 4 = -y, -2*y = -r - 4. Let v(q) = -q**y + 10*q - 10*q. Calculate v(i(z)).
-16*z**2
Let c(p) be the third derivative of 2*p**5/15 + 18*p**2. Let u(v) = -7*v. Calculate u(c(l)).
-56*l**2
Let s(z) = 7*z - 6. Let m(c) = 3*c. What is s(m(i))?
21*i - 6
Let p(v) = -v - 23 + 23. Let r(m) be the second derivative of m**6/180 + m**3/3 - m. Let k(h) be the second derivative of r(h). Calculate p(k(a)).
-2*a**2
Let s(x) = -18*x**2. Let a(j) be the third derivative of j**4/24 - 26*j**2. Determine a(s(i)).
-18*i**2
Let s(p) = p**2 - 4*p + 4. Let u(i) = -i**2 + 9*i - 9. Let z(b) = 9*s(b) + 4*u(b). Let l(h) = -7*h**2. Give l(z(k)).
-175*k**4
Let k(b) = 107*b**2. Let a(j) = 5*j**2. Calculate k(a(y)).
2675*y**4
Let u(c) = -7*c. Let p(r) = -8*r. Let b(o) = 5*p(o) - 6*u(o). Let y(k
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest integer?
11
Suppose -341742 = -4*w - 4*b - 3614, -3*w + b + 253584 = 0. Let k(m) = -13133*m**2 + m + 1. Let d be k(2). Let x = w + d. Round x to the nearest 10000.
30000
Let s = -0.866 - -0.8650748. Round s to five dps.
-0.00093
Let j = -947.26355 - -986.262. Let i = 39 - j. Round i to 4 dps.
0.0016
Let v = 2.2311323 - 2.231. Round v to five decimal places.
0.00013
Let m = -0.0312 - -0.02. Let s = -0.3518 + m. Let l = s + 0.073. What is l rounded to 1 dp?
-0.3
Let o = -9.3 - -9.29336. Round o to 4 decimal places.
-0.0066
Let i = 0.001 - 0.00100185. Round i to seven dps.
-0.0000019
Let t = 8 + -4. Suppose 2*q + 4 = t*b - b, -4*q - 8 = 4*b. Suppose b = -0*n - n + 960. Round n to the nearest one hundred.
1000
Let m = 19 - 13. Let v = -1 + m. Let g = -0.8 - v. What is g rounded to 0 decimal places?
-6
Suppose 7*s = 4*s + 6. Suppose 5*k - 3*v - 18500009 = 0, -4*k - s*v = v - 14799991. What is k rounded to the nearest 1000000?
4000000
Let o = 0.0186 - -32.0814. Let j = 34 - o. Let w = -1.985 + j. Round w to two decimal places.
-0.09
Let m(s) = -1042*s**2 + 13. Let j be m(-9). Let f = j + 264389. What is f rounded to the nearest 100000?
200000
Let c = -0.0073 - -0.00730318. Round c to seven decimal places.
0.0000032
Let f = 1527 + -1520.29. Let i = -0.21 + f. Let b = -17 - i. Round b to zero dps.
-24
Let a = -11.61048 + 11.6. Round a to two dps.
-0.01
Let m = -0.135 - -0.242. Let r = m + 21.393. Round r to zero dps.
22
Let q = -82 + 50. Suppose i + 164 + 103 = 0. Let s = i - q. What is s rounded to the nearest 10?
-240
Let x = -0.2163 - 46.8217. Let h = x - -47. What is h rounded to 2 dps?
-0.04
Let l = 44205 + -44205.0018907. What is l rounded to four decimal places?
-0.0019
Suppose 5*z = x + 7879995, 5*x - 2*z = -1323372 - 38076626. What is x rounded to the nearest 100000?
-7900000
Let r = -920.98 - -915. What is r rounded to one dp?
-6
Suppose 16*t + 12 = 19*t. Suppose t*u = -2239149 - 3840851. Round u to the nearest 100000.
-1500000
Let a = -198116 - 123984. Round a to the nearest 10000.
-320000
Let z(v) = 15038*v**2 + 37*v + 30. Let x be z(-22). Let j = 21777608 - x. Round j to the nearest one million.
15000000
Let s = 78 + 24. Let d = 102.244 - s. What is d rounded to two dps?
0.24
Let v = 1588.999994284 + -1589. Round v to 7 dps.
-0.0000057
Let b = -328.789649 + 116.790165. Let x = b - -212. Round x to 4 dps.
0.0005
Suppose 14 - 43 = -2*x - 5*c, -4*c = -x + 8. Let d be (79 - 0)/(x/360). What is d rounded to the nearest 100?
2400
Suppose -4*v - 3072 = -4*q - 2*v, -3*q = -5*v - 2290. Let s be (q/33)/(2/(-1800000)). What is s rounded to the nearest one million?
-21000000
Let d(y) be the second derivative of -33332*y**3/3 - 4*y**2 - 4*y. Let j be d(3). Round j to the nearest 1000000.
0
Let n = -0.0209826 + 0.021. Round n to 6 dps.
0.000017
Let o = -155 + 155.0004001. Round o to 5 decimal places.
0.0004
Let g = -11.06 + 10. Let k = g - 0.9. Let u = k - -1.96000103. What is u rounded to 7 dps?
0.000001
Let b = -22 + 32. Let f = b + -9. Let i = f - 2.5. What is i rounded to the nearest integer?
-2
Let j(x) = -2*x**3 + 4*x**2 + x - 32460. Let d be j(0). Round d to the nearest 1000.
-32000
Let w = -34658.27 - -5929913.27. Let j = 5895261.000003 - w. Let m = 6 - j. Round m to six decimal places.
-0.000003
Let w = -244623 - -244462.717. Let q = w + 28.28422. Let n = 132 + q. What is n rounded to 4 decimal places?
0.0012
Let p = 535 + -531.19. What is p rounded to the nearest integer?
4
Let o = -32.2 + -736.4. Round o to the nearest one hundred.
-800
Let k(j) = -j**3 + 18*j**2 + 3*j - 24. Let f be k(18). Let t be 0 + 380/(-4)*24*f. What is t rounded to the nearest ten thousand?
-70000
Let t = 198.3 - 198.300001381. Round t to 6 dps.
-0.000001
Let w = 32.8 - 0.8. Let r = 32.00000124 - w. Round r to 7 dps.
0.0000012
Let n(o) = -40290*o**3 + 2*o**2 - 8*o - 5. Let d be n(-4). Suppose -5*l - d + 398599 = -p, -2*l = -p + 2180008. Round p to the nearest 1000000.
2000000
Let a = -0.2427 + -14.0273. Let u = -15.1 - a. Round u to 1 decimal place.
-0.8
Let d = -3 - -2. Let v be (-5)/(5*d/(-7140)). Let r be (330/77)/((-2)/v). Round r to the nearest one thousand.
15000
Let u = -45.4 + 45. Let c = -0.39999965 - u. What is c rounded to 7 dps?
0.0000004
Let d = 303088 + -972894. Let f = d - -669827.000192. Let v = 21 - f. What is v rounded to five dps?
-0.00019
Let z = -0.2066 + -0.0085. Round z to 2 dps.
-0.22
Let b = 138 - 259. Let z = b + 121.00000712. What is z rounded to 6 dps?
0.000007
Let l = 18 + -8. Let d = l + 8. Let m = d + -17.946. What is m rounded to two decimal places?
0.05
Let w be -7 - (-3161*133 - -6). Round w to the nearest ten thousand.
420000
Suppose -3*k + 50 = 2*k + 2*n, 0 = -3*k + 2*n + 46. Let w(p) = 4*p - 3*p + 8*p + 8. Let h be w(k). What is h rounded to the nearest ten?
120
Suppose -2*y + 4 - 24 = -5*d, 2*y = -10. Let r be (77 - 7)*(-1)/d. Let i be 5898/(-10) + 7/r. What is i rounded to the nearest one hundred?
-600
Let i = 0.059 + 0.173. Let n = i - 0.232000981. What is n rounded to seven decimal places?
-0.000001
Let o = 33 + -31. Let b be (7 - o)/((-1)/(-17400)). Round b to the nearest ten thousand.
90000
Let j = -164 + 97. Let o = j - -66.999624. Round o to 4 decimal places.
-0.0004
Let v = -7875 + 7875.00008702. Round v to 6 dps.
0.000087
Let u = 851.33 - 844. What is u rounded to the nearest integer?
7
Let x = -17446 - -27836. Round x to the nearest 1000.
10000
Let s = 0.33303063 + -0.333. What is s rounded to 6 decimal places?
0.000031
Let o = -103554 - -103414.9988. Let q = o + 139. Round q to three dps.
-0.001
Let s = -21.59 - -3.2. Let g = s - -18. Let f = -0.39034 - g. What is f rounded to four dps?
-0.0003
Let q = 840.3 - 835.191. Let l = -5.1 + q. What is l rounded to two dps?
0.01
Let j(s) = 4*s**3 + s**2 + 2*s + 1. Let v = 4 + -5. Let n be j(v). Let c = 28 - n. Round c to the nearest 10.
30
Suppose 0*s + 3*s = 4*b - 16, s + 16 = -4*b. Let y be (4/6)/(s/(-12)). Let a be y + (62667*3)/(-1). What is a rounded to the nearest 10000?
-190000
Suppose l - 7 = i + 9, -5*i = -4*l + 69. Let d = l + -11. Suppose 4*a - 608 = 2*w + 482, 5*w + 25 = d. What is a rounded to the nearest 100?
300
Let p = 12002009.1517 - 12001889.199000621. Let l = p - -1.047294721. Let d = l + -121. Round d to six dps.
-0.000006
Let l = 2773.3678 - 2773. Let r = l + -0.37. Round r to 3 dps.
-0.002
Let z(f) be the third derivative of 42925*f**4/12 - f**3/2 + 2*f**2. Let m be z(3). Let q = 373547 - m. What is q rounded to the nearest 10000?
120000
Let h = -1542158 + 1538996.532. Let g = 3161.60799784 + h. Let m = 0.14 - g. What is m rounded to 7 decimal places?
0.0000022
Let c = 5.449 + -5.09. Let y = -0.36 + c. Round y to 2 dps.
0
Let t = 87.05725695 - 91.928008357. Let q = -58.870750987 - t. Let s = 54 + q. Round s to 7 decimal places.
0.0000004
Let m = 5998 - 5998.08638. What is m rounded to three decimal places?
-0.086
Let v = -32 - -58. Let u = v + -37. Let y = 11.000028 + u. What is y rounded to 5 decimal places?
0.00003
Let s(v) = -123*v**2 - 33*v + 58. Let m be s(22). Round m to the nearest 1000.
-60000
Let t = 0.29935 + -0.308. What is t rounded to three decimal places?
-0.009
Let p(m) = 1267*m - 40. Let n be p(-15). Round n to the nearest one hundred.
-19000
Let p = -159 + 158.999999686. What is p rounded to 6 dps?
0
Suppose -5*d = 130880 + 116120. What is d rounded to the nearest 1000?
-49000
Let x(v) = v**3 - 7*v**2 + 2*v - 9. Let c be x(7). Suppose c*a - 3 = 2. Let d be (-1374 - a)*76/5. Round d to the nearest one thousand.
-21000
Let j = 10.85 - -0.15. Let m = 19.448411 + -8.448408. Let r = m - j. What is r rounded to 6 decimal places?
0.000003
Let m = -1316 - -1436. Round m to the nearest 100.
100
Let c = -5853733.5999988 + 5853735. Let t = 1.4 - c. What is t rounded to 7 decimal places?
-0.0000012
Let x(o) = 34*o**3 + 5*o**2 + 4*o + 45. Let c be x(7). What is c rounded to the nearest one thousand?
12000
Let o = -0.03044672 + 3727.34484672. Let h = 3724 - o. Let y = -3.3 - h. Round y to 3 dps.
0.014
Let o = 355.9906152 + -169.990654. Let b = -186 + o. Round b to 6 dps.
-0.000039
Let n = -2.229 - 10.835. Let q = -0.236 + n. Let d = q + 15. Round d to the nearest integer.
2
Let v be ((-286)/65)/((-2)/(-10)). Round v to the nearest one
|
{
"pile_set_name": "DM Mathematics"
}
|
Let i = -111 + 201. What is the units digit of i?
0
Suppose -4*g - 4 = -l, 3*l + 28 = -4*g - 2*l. Let p = 2 + g. Suppose p = -2*c + 6 - 0. What is the units digit of c?
3
Let m = 496 - 281. What is the tens digit of m?
1
Let c(k) = -17*k + 59. What is the units digit of c(-6)?
1
Let g = 207 + -97. What is the tens digit of g?
1
Let b be (-3)/6 - 3/(-2). What is the units digit of 15 - (b - 4/(-2))?
2
Let i(w) = -w**2 + 9*w + 3. Let b be i(6). Let p be 64/(-24)*b/(-4). Let a = 21 - p. What is the units digit of a?
7
Let v be -2 + 1 + (0 - -4). Suppose 0 = 2*s - v*i + 1 - 7, i = 0. Suppose 24 = s*j - 0*j. What is the units digit of j?
8
Let c = -127 + 199. What is the tens digit of c?
7
Let g = 2 + -2. Suppose g*j - 65 = -5*j. What is the tens digit of j?
1
Let o(n) be the first derivative of -n**5/30 - n**4/24 + n**3/3 - 1. Let k(t) be the third derivative of o(t). What is the units digit of k(-1)?
3
Suppose 0 = o + 1 - 3. Suppose 0*p + 10 = o*p. What is the units digit of p?
5
Let u = -11 + 1. What is the units digit of (12/10)/((-2)/u)?
6
Suppose -2*k - 2*k - 8 = 0. Let q = k + 0. What is the units digit of (3 - (q + 2))*3?
9
Let b(o) = 8*o + 1. What is the units digit of b(6)?
9
Let r(u) be the third derivative of 2*u**2 - 1/2*u**3 - 1/6*u**4 + 0 + 0*u + 1/60*u**5. What is the units digit of r(5)?
2
Suppose t = -0 + 3. Let k(i) = -i**3 + 5*i**2 - 3*i + 4. What is the units digit of k(t)?
3
Suppose -4*p = -4*f - 52, -2*p = 5*f + 1 - 13. Let a(z) = -z**3 + 11*z**2 + 4*z - 6. What is the tens digit of a(p)?
3
Let m = 28 - 22. What is the units digit of m?
6
Let l be (2 - 1)*(-1)/(-1). What is the units digit of 6/(-9)*-12 + l?
9
Let o(g) = 2*g + 1. Let r(f) = -10*f - 6. Let q(h) = 14*o(h) + 3*r(h). Let y(u) = 2*u + 5. Let x(c) = 2*q(c) + 3*y(c). What is the units digit of x(5)?
7
Let x(i) = i - 7. Let v be x(9). Let g be 0 - (-2 + -2)/v. Suppose g*j - 34 = -2*u, 4*j + u = 9*j - 67. What is the tens digit of j?
1
Let w(v) = -v**2 + v. Let z(n) = -n**3 - 11*n**2 + 2*n - 2. Let t(l) = -4*w(l) + z(l). What is the tens digit of t(-7)?
1
Let s = 104 + -62. What is the tens digit of s?
4
Let c = 20 - -1. What is the tens digit of c?
2
Suppose q = -3 + 8. Suppose 5*s - q*l - 25 = 0, l + 8 = -l. Let g = s - -11. What is the units digit of g?
2
Let m be (3/(-2))/(9/(-24)). Let y(z) = z**2 - 2*z**2 + m*z**2. What is the units digit of y(-1)?
3
Let r = -12 - -8. Let i be 46*1 + (-8)/r. Suppose -4*p + 0*p + i = 0. What is the tens digit of p?
1
Suppose 5*n + 2 = -3. Let v(b) = -14*b**3 + b + 1. What is the tens digit of v(n)?
1
Suppose 6*v - 784 = 2*v + 4*s, 2*s = 5*v - 986. What is the tens digit of v?
9
Let v(x) = x**2 + 10*x + 3. Let j be v(-10). Suppose -3*s = 2*s + 5, 17 = 4*a + j*s. What is the units digit of a - -3 - 0/2?
8
Let u be 2/7 + 40/7. Suppose 0 = -3*d + u + 3. What is the units digit of d?
3
Let y(j) = 4*j + 5. Let x(a) = -12*a - 16. Let s(n) = 5*x(n) + 16*y(n). Let b be s(-1). Let p = 6 + b. What is the units digit of p?
2
Let r(q) = -q**3 - 2*q + 1. Suppose p = 3*p + 4. What is the units digit of r(p)?
3
What is the hundreds digit of ((-903)/(-14))/(2/12)?
3
Suppose -4*w - 9 + 105 = -2*r, -w + 46 = 5*r. What is the units digit of w?
6
Suppose r - 5*a = -4*r + 650, 0 = 5*r - 4*a - 654. What is the units digit of r?
4
Let m(i) = -i - 3. Let k be m(-5). Suppose k*f - 21 = -3. Suppose 21 = 5*p - f. What is the units digit of p?
6
Suppose 0 = 5*n - 3*d + 96, -5*n - 2*d = 3*d + 80. Suppose 45 = 4*q - 59. Let s = q + n. What is the units digit of s?
8
Let f(h) = h**3 + 7*h**2 - h - 1. What is the units digit of f(-7)?
6
Suppose 0 = u - 2 - 0. Let l(o) = o**2 - 1 + 2*o**2 + 4*o**2 + 10*o**u + 2*o. What is the units digit of l(1)?
8
Suppose 2*w + l = 88 - 10, 0 = -2*w + 5*l + 78. Let o = w - 15. What is the tens digit of o?
2
Suppose 0 = -4*n + n - 3. Let b = n - -5. What is the units digit of b?
4
Suppose -f - 3*g = -43, -6*f + 4*f + 76 = -4*g. Suppose 4*q - f = -0*q. Suppose -10 = -3*n - 2*w, 0*n - q = -2*n + 2*w. What is the units digit of n?
4
Let x(m) be the third derivative of -m**5/60 + 3*m**4/4 - 5*m**3/6 - 3*m**2. Let p be x(13). Suppose 0 = 2*f + 3*f - p. What is the tens digit of f?
1
Suppose -2*c = 4*m + m + 14, -2*c + 5*m - 14 = 0. Let q = c + 17. What is the units digit of q?
0
Let n = 149 + 21. What is the tens digit of n?
7
Let r(m) = m**3 - 5*m**2 - 5*m - 18. What is the tens digit of r(8)?
3
Suppose 4 + 220 = 4*x. What is the units digit of x?
6
Suppose -g = 7 - 1. Let a = g + 7. Let d = 8 - a. What is the units digit of d?
7
Let z = 137 + -90. What is the tens digit of z?
4
Let i = -44 - -76. Suppose 0 = 4*s - 0*s - i. What is the units digit of s?
8
Let a(m) be the third derivative of 0*m + 1/60*m**5 + 1/24*m**4 + m**2 - 1/6*m**3 + 0. What is the units digit of a(2)?
5
Let k(s) = -s - 9 + s - 2*s. What is the units digit of k(-7)?
5
Suppose 5*s = 3*s, -4*s = k - 45. Let z = 8 + -5. Suppose 0 = -3*g + z + k. What is the units digit of g?
6
Let m = -4 - -6. Suppose -4*g = 0, -3*v - v + m*g = -52. What is the units digit of v?
3
Suppose 0 = 5*d + 3*r - 190, 2*d + 3 = 2*r + 79. What is the tens digit of d?
3
Let v be (-5 + 1)*2/4. Let k = 29 + -19. Let z = v + k. What is the units digit of z?
8
Suppose -s = -5*p + 27, -5*s + 0*p - 4*p - 77 = 0. Let q = -7 - s. What is the units digit of q?
0
Let j(y) = -y**2 - 39*y - 21. What is the hundreds digit of j(-20)?
3
Let l(i) = 8*i**2 - 7*i. Let a be l(5). Suppose -5*r = -5*f + a, 2*f + 4*r - 38 = f. What is the tens digit of f?
3
Let k be 2/(-2*(-1)/(-11)). Suppose -3*r = -5*r - 2. Let z = r - k. What is the units digit of z?
0
Suppose -x + 6*x = 205. What is the tens digit of x?
4
Let p(k) = 10*k + 4. Let j be p(2). Let y(g) = g**2 - 3*g - 5. Let m be y(5). Suppose -x = -m*x + j. What is the units digit of x?
6
Suppose 5*r - 178 = 342. What is the units digit of 1/(r/34 - 3)?
7
Suppose 4*c - 23 = 25. Let l be (-164)/6 - (-4)/c. What is the units digit of 8/(-28) - l/21?
1
Let f(u) be the third derivative of u**5/20 - u**4/12 - 3*u**2. Let c(g) = g**3 - 5*g**2 - 7*g + 8. Let m be c(6). What is the units digit of f(m)?
8
Let c be (-4)/((-8)/10) + 3. Suppose h + 4*o - c = -22, 52 = -3*h - 2*o. Let g = h - -31. What is the units digit of g?
3
Let b = 1 + 6. Let v = 7 - 5. Suppose -b = v*z - 25. What is the units digit of z?
9
Suppose -9*m + 534 = -3*m. What is the tens digit of m?
8
Let u = 18 + -13. Suppose -u*i - 5*q - 33 = -q, 3*q = -i. Let y = 0 - i. What is the units digit of y?
9
Let d = 10 - 13. Suppose 5*i = -0*i - 20. Let j = d - i. What is the units digit of j?
1
Let j(q) = 2 + 3*q + 0 - 2*q + 10. What is the units digit of j(-9)?
3
Let v(g) = -g. Suppose -h + 4*u + 7 = 0, 4*u + 13 = -h - 4. Let w be v(h). Suppose -4*a = 3*i + 13, -w*i - a + 2*a + 9 = 0. What is the units digit of i?
1
Suppose -38 = -3*f + 5*g, -2*g + 0*g = -3*f + 26. Suppose -s - f = -3*s. Suppose -4*w + 11 = -s*w. What is the units digit of w?
1
Suppose 5 = -j - 0*j. Let t be -1*j/(5/4). Suppose -2*r + 21 = -3*d, t*d + 11 = -2*r - r. What is the units digit of r?
3
Let r(q) = 6*q - 6. Let l be r(4). Let t = l + -13. Suppose 2*k + t = 11. What is the units digit of k?
3
Let s = -32 + 50. Suppose -28 = -u - 5*k, 2 = 5*u + k - s. Suppose u*a = 29 - 5. What is the units digit of a?
8
What is the units digit of (10 - 12)*3/(-2)?
3
Suppose -5*l + 35 = 5*g, 3*l - 3*g = 2*g - 11. Suppose l*q - 25 = -w, 3*q + 0*w = w + 29. Suppose 14 = 4*c + 2*t - 16, 3*t = q. What is the units digit of c?
6
Suppose 0*t = -4*t + 20. Let y(a) = 2*a - 5. What is the units digit of y(t)?
5
Suppose -15*b = -19*b + 120. What is the units digit of b?
0
Suppose 0 = 3*o - 0*o - 108. What is the units digit of o?
6
Let f(w) = -w**3 + 5*w**2 - 4*w - 1. Let t be f(3). Suppose -20 = -t*x - 5. Suppose 5*a + 0*a - 27 = 4*l, 0 = x*a - 5*l - 11. What is the units digit of a?
7
Suppose 145 = 3*p + 40. What is the tens digit of p?
3
Suppose 4*i + 3*y + 11 = 30, -i = -4*y. Suppose -2*p - 2*p = 5*v - 27, -3*v = p - 12. Suppose 8 = -p*s - 5*u + 19, 0 = -4*u + i. What is the units digit of s?
2
Suppose -4*v + 52 = -y, -v + 142 + 126 = -4*y. Let d = 102 + y. What is the units digit of d?
4
Let n(v) be the first derivative of -5*v**3/3 + v**2/2 - 2*v - 1.
|
{
"pile_set_name": "DM Mathematics"
}
|
hat -1/3*n**3 - 1/3*n**2 + 1/3*n + b = 0.
-1, 1
Factor -6/5*c + 4/5 + 2/5*c**2.
2*(c - 2)*(c - 1)/5
Let u(b) be the first derivative of -b**7/210 + b**6/60 - b**5/60 - 5*b**2/2 - 2. Let i(p) be the second derivative of u(p). Determine d, given that i(d) = 0.
0, 1
Let o(h) be the second derivative of -h**5/30 + h**4/18 + 5*h**3/9 + h**2 + 7*h. Factor o(l).
-2*(l - 3)*(l + 1)**2/3
Suppose -2*k + 2 = k + 2*q, 2*k + 3*q + 2 = 0. Let i(a) be the first derivative of 0*a**k + 1/2*a**4 - 1 - 1/3*a**3 + 0*a - 1/5*a**5. Factor i(o).
-o**2*(o - 1)**2
Factor -3*t**2 + 12*t - 33*t**2 - 5801*t**3 + 5828*t**3.
3*t*(3*t - 2)**2
Let v(z) = 7*z**2 - 2*z + 2. Let x be v(2). Suppose x = 3*i - 4*s, -2*i + 4*s + 24 = -0*i. Let m**3 - 4*m**i + m**3 + 4*m**2 = 0. Calculate m.
0
Let h = -9/2 + 19/4. Factor 0 + 0*l**3 + 1/4*l - 1/2*l**2 + 1/2*l**4 - h*l**5.
-l*(l - 1)**3*(l + 1)/4
Let p = 13 - 22. Let c be 7 + p - (-5)/2. Factor -j + c*j**2 + 0.
j*(j - 2)/2
Let s(u) be the third derivative of -u**10/75600 - u**9/10080 - u**8/3360 - u**7/2520 - u**5/20 - u**2. Let o(k) be the third derivative of s(k). Factor o(i).
-2*i*(i + 1)**3
Let g(w) = 4*w**3 + 4*w**2 - 4*w - 3. Suppose 2*r - r - 4 = 0. Let p(z) = -z**4 + z**2 + 1. Let h(u) = r*p(u) - 4*g(u). Suppose h(v) = 0. What is v?
-2, -1, 1
Suppose -2*g = 2*a - 4, -4*g + 14 - 6 = -4*a. Determine t so that -g*t**3 + 0 - 2/3*t + 8/3*t**2 = 0.
0, 1/3, 1
Let l(n) = -n**2. Let j(a) = -a**2 + 5*a - 60. Let w(t) = -j(t) + 6*l(t). Suppose w(m) = 0. Calculate m.
-4, 3
Let c(a) be the first derivative of -16*a**5/25 - 8*a**4/5 - 4*a**3/3 - 2*a**2/5 - 1. What is b in c(b) = 0?
-1, -1/2, 0
Let x be ((-90)/8)/((-2)/8). Let m be 10/x - (-596)/18. Find p such that 40/3*p - m*p**2 - 16/9 + 250/9*p**3 = 0.
2/5
Let b(j) be the second derivative of j**7/7560 - j**4/4 + 3*j. Let h(v) be the third derivative of b(v). Solve h(l) = 0 for l.
0
Let x(g) be the first derivative of -g**4/8 - g**3/6 + 5*g**2/4 - 3*g/2 + 33. Factor x(s).
-(s - 1)**2*(s + 3)/2
Let m(s) = 2*s**2 - 3*s + 1. Let a be m(2). What is c in -c**2 + 3*c**a - 6*c**3 + 4*c**3 = 0?
0, 1
Let o(g) be the third derivative of -g**9/10584 - g**8/2940 - g**7/2940 - g**3/6 + g**2. Let f(j) be the first derivative of o(j). Solve f(a) = 0.
-1, 0
Let p = 22 - 15. Let w = -3 + p. Factor 9*l + 2*l**2 + 3 + 5 - w*l + 3*l.
2*(l + 2)**2
Let z(i) = 2*i**2 + 6*i - 16. Let u(w) = -w**2 - 7*w + 15. Let m(p) = -4*u(p) - 3*z(p). Factor m(b).
-2*(b - 3)*(b - 2)
Let h be (-1)/4 - 27/(-12). Find i such that -3*i**3 + 4*i**3 + 6*i**3 + 2*i**h = 0.
-2/7, 0
Let 2*g**2 + 10 + 5*g - 7*g**2 + 0*g**2 + 0*g = 0. What is g?
-1, 2
Let s(h) = h - 3. Let o(q) = -q + 7. Let p be o(0). Let j be s(p). Factor 0*m - 2/9*m**2 + 0 + 0*m**3 + 2/9*m**j.
2*m**2*(m - 1)*(m + 1)/9
Let x(d) = 11*d**2 - 4*d - 1. Let k be x(-3). Let n be (2 - -1) + k/(-50). Factor 6/5*s - n + 4/5*s**2.
2*(s + 2)*(2*s - 1)/5
Let j(a) = a - 5. Let d be j(5). Suppose d = 3*w + w - 8. Determine p, given that 2/3*p**w - 4/3 + 2/3*p = 0.
-2, 1
Let x(j) be the second derivative of -j**7/21 + 2*j**6/9 - j**5/3 + 5*j**3/9 - 2*j**2/3 + 5*j. Let x(b) = 0. Calculate b.
-2/3, 1
Let p be (8/14)/(2/7). Factor -1/3*m + 0 - 2/3*m**p.
-m*(2*m + 1)/3
Let j(m) = -m**2 - 1. Let w(p) = -8*p**2 - 2*p - 3. Let l(y) = 3*j(y) - w(y). Let t be l(2). Factor -3*i - 7*i - 10*i**3 - 8*i - 4 - t*i**2.
-2*(i + 1)**2*(5*i + 2)
Let g(r) = -2*r**4 - 12*r**3 - 16*r**2 - 8*r + 2. Let w(d) = -2*d**4 - 13*d**3 - 16*d**2 - 8*d + 3. Let z(x) = 3*g(x) - 2*w(x). Factor z(i).
-2*i*(i + 1)*(i + 2)**2
Suppose 3 = 4*v + 7. Let t(u) = -147*u**5 - 379*u**4 - 327*u**3 - 108*u**2 - 11*u. Let i(z) = -z**4 + z. Let d(x) = v*t(x) + i(x). Find j such that d(j) = 0.
-1, -2/7, 0
Suppose g = -2 + 4. Factor 3*y - g*y - y**2 - y.
-y**2
Let q(h) be the third derivative of -h**6/30 + h**5/5 + 2*h**4/3 - 9*h**2. Factor q(s).
-4*s*(s - 4)*(s + 1)
Let a be 3/(2 + (-415)/2). Let s = a + 558/685. Factor 2/5*b**2 + s + 6/5*b.
2*(b + 1)*(b + 2)/5
Let u = -123 + 131. Let i(r) be the first derivative of 4*r**2 + u*r + 3 + 2/3*r**3. Factor i(g).
2*(g + 2)**2
Let p be (-1)/2*-4 + -3 + 3. Factor 2*t**3 - 4/3 + 2/3*t**4 + 2/3*t**p - 2*t.
2*(t - 1)*(t + 1)**2*(t + 2)/3
Let u(l) be the first derivative of 12*l**5/5 + 11*l**4/2 - 40*l**3/3 + 3*l**2 + 12. Determine z, given that u(z) = 0.
-3, 0, 1/6, 1
Suppose 2*q - 2 = 2. Solve -u**3 - 3*u**3 + 4*u**3 - 2*u**4 + q*u**2 = 0.
-1, 0, 1
Let n be (16/12)/((-8)/(-18)). Solve n*v**2 + 1 + 1 - 5 = 0.
-1, 1
Let y = 325/3 - 107. Factor -2/3*q**2 + 0 + y*q.
-2*q*(q - 2)/3
Let v be 102/(-4)*2/(-3). Let w = v + -12. Factor -6*o**4 + o**2 + 7*o**2 - 4*o**3 + 4*o**w + 0 - 2.
2*(o - 1)**3*(o + 1)*(2*o + 1)
Let f(s) be the second derivative of s**4/28 + 5*s**3/42 - s**2/7 - s. Find g, given that f(g) = 0.
-2, 1/3
Let f(b) = b**3 - 6*b**2 + 5*b + 4. Let k be f(5). Factor -4*g - 7*g**2 + 3*g**2 + k*g**3 - g - 5*g**3 - 2.
-(g + 1)**2*(g + 2)
What is a in 2/3*a**2 + 2*a**4 - 2*a**3 + 0*a + 0 - 2/3*a**5 = 0?
0, 1
Let o(u) be the second derivative of -2*u + 0*u**5 + 0*u**3 + 0 - 1/98*u**7 + 1/7*u**4 - 3/70*u**6 + 0*u**2. Find n such that o(n) = 0.
-2, 0, 1
Factor -2/3 - 10/3*y - 25/6*y**2.
-(5*y + 2)**2/6
Solve 19*i**4 + i + i**3 - 20*i**4 + 0*i**2 + 3*i**2 + 2 - 6*i = 0 for i.
-2, 1
Let a be 15/(-42)*108/(-20). Let c = a + -10/7. Solve d + 1/2 + c*d**2 = 0 for d.
-1
Let h(p) be the second derivative of 4*p - 1/12*p**5 - 1/2*p**3 - 1/3*p**4 - 1/3*p**2 + 0. Let h(l) = 0. Calculate l.
-1, -2/5
Let g(s) = -27*s**2 + 32*s - 8. Let w(n) = 27*n**2 - 33*n + 9. Let d(a) = 3*g(a) + 4*w(a). Suppose d(v) = 0. What is v?
2/3
Let l be (-1)/(((-520)/16)/13). Determine o, given that -l*o**2 + 0 + 0*o = 0.
0
Suppose -j + 2*s + 1 = -10, -j = -4*s - 7. Suppose -p - 3 = -2*f - 2*p, 0 = -5*p + j. Find l, given that 4/3*l + 14/3*l**2 + f - 8/3*l**3 = 0.
-1/4, 0, 2
Let y(m) be the first derivative of -2*m**6/21 - 3. Suppose y(i) = 0. Calculate i.
0
Find y, given that 2/7*y**4 + 0*y + 0*y**2 + 0*y**3 - 2/7*y**5 + 0 = 0.
0, 1
Factor -1/4 - 3/8*s - 1/8*s**2.
-(s + 1)*(s + 2)/8
Let y(n) be the third derivative of n**5/12 - 5*n**3/6 + 6*n**2. Find h, given that y(h) = 0.
-1, 1
Let j(h) be the second derivative of -h**7/70 + h**6/30 + h**5/60 - h**4/12 - h**2 - 2*h. Let w(c) be the first derivative of j(c). Solve w(i) = 0.
-2/3, 0, 1
Let b be -6*1/(3/(-4)). Find c such that -b*c - 3*c**2 + 2*c - 6*c**2 - 3*c**3 = 0.
-2, -1, 0
Let v(p) be the second derivative of p**7/273 - 4*p**6/195 + 3*p**5/65 - 2*p**4/39 + p**3/39 - 6*p. What is j in v(j) = 0?
0, 1
Let m = -16 + 20. Let q(z) be the second derivative of 1/105*z**6 + 5/42*z**m + 0*z**2 + 2/35*z**5 + 0 + 2/21*z**3 - z. Solve q(w) = 0.
-2, -1, 0
Let d(o) = o**2 - 1. Let t(h) = h**2 - 4*h - 6. Let n(z) = z**2 - 7*z + 4. Let a be n(6). Let k(r) = a*d(r) + t(r). Suppose k(y) = 0. What is y?
-2
Let c be 1309/1836 + 4/(-6). Let s(j) be the third derivative of 0*j - 2/135*j**5 + 0 + j**2 + c*j**4 + 1/540*j**6 - 2/27*j**3. Factor s(r).
2*(r - 2)*(r - 1)**2/9
Let v(f) be the first derivative of f**6/18 - f**4/6 + f**2/6 - 12. Factor v(q).
q*(q - 1)**2*(q + 1)**2/3
Let g be ((-63)/(-35))/((-1)/(-5)). Suppose 0 = i + 5*u - 14, g = 5*u - 1. Factor -1/2*m**i + 1/2*m**2 + 0 + 0*m**3 + 0*m.
-m**2*(m - 1)*(m + 1)/2
Let g(b) be the third derivative of -b**6/60 - b**5/20 + b**3/6 - 40*b**2. What is s in g(s) = 0?
-1, 1/2
Let g(v) be the second derivative of -5/3*v**3 + 2*v**2 + 0 + 2/3*v**4 - 1/10*v**5 - 2*v. What is k in g(k) = 0?
1, 2
Let j(q) be the first derivative of q**6/21 - 2*q**4/7 - 4*q**3/21 + 3*q**2/7 + 4*q/7 + 34. Factor j(x).
2*(x - 2)*(x - 1)*(x + 1)**3/7
Let s(m) be the second derivative of m**6/2160 + m**5/240 + m**4/72 + 4*m**3/3 - 6*m. Let v(b) be the second derivative of s(b). Solve v(r) = 0 for r.
-2, -1
Let q(h) = 16*h + 450. Let b be q(-28). Factor 0*a**b + 1/4*a**3 - 1/4*a + 0.
a*(a - 1)*(a + 1)/4
Let d be (-4)/(-1*8/6). Let l(r) be the second derivative of -1/3*r**d - 1/6*r**4 + 0*r**2 + 0 - 2*r. Find q, given that l(q) = 0.
-1, 0
Let s(o) = 2*o**2 - 2. Let z be s(2). Let q(f) be the third derivative of 0 - 1/180*f**z - 1/72*f**4 + 2*f**2 + 0*f**3 + 0*f - 1/60*f**5. Factor q(g).
-g*(g + 1)*(2*g + 1)/3
Suppose 6*o - 5*o + 2*o**3 - 3*o + 0*o = 0. What is o?
-1, 0, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
a(m) = 117*m - 1806. What is the remainder when a(17) is divided by 23?
22
Suppose -2*t + 2*o = -4, 3 - 18 = -5*o. Suppose 16 = 3*p + p, -2*f - t*p + 944 = 0. What is the remainder when f is divided by 31?
28
Suppose -12*m = -7*m + 4*a - 11, -2*a + 1 = m. What is the remainder when 3926 is divided by m?
2
Let a = 49 - 51. Let f(y) = -6*y + 2. Calculate the remainder when 72 is divided by f(a).
2
Suppose -8 - 73 = -3*j. Let o = 51511 - 51490. What is the remainder when j is divided by o?
6
Suppose 7*l = 3*l + 84. Let g = -183 + 180. Let d = 84 + g. What is the remainder when d is divided by l?
18
Let z(u) = -4*u**3 - 168*u**2 - 10*u - 313. What is the remainder when z(-42) is divided by 35?
2
Suppose -135 = -y - 4*r, -5*r = 3*y - 4*y + 108. What is the remainder when y is divided by (406/464)/(2/16)?
4
Suppose 2*z - 94 = 4*l + 58, 134 = 2*z + 5*l. Suppose -19*b - z = -13*b. Calculate the remainder when 64 is divided by b/9*(-3)/8*34.
13
Suppose 127 = v - 0*v. Calculate the remainder when v is divided by 34 + 89/(3204/(-432)).
17
Suppose -11 = -20*m + 49. Suppose -320 = -m*g - 2*n, 4*g + 0*n - 426 = -3*n. What is the remainder when 429 is divided by g?
105
Suppose -4*i - m = 186, 2*m - 23 = 2*i + 65. Let w be (4 - -14)*i/(-6). Let h = w - 68. What is the remainder when h is divided by 12?
10
Let f = 76 + -351. Let m = 327 + f. Calculate the remainder when m is divided by 22.
8
Suppose -186*l + 274937 = 40*l - 70165. What is the remainder when l is divided by 45?
42
Suppose -444*y + 449*y = 3115. Suppose 3*o - y = -143. What is the remainder when o is divided by 41?
37
What is the remainder when 2815 is divided by (-57)/(-114) + 1/(-2) + (22 - 0)?
21
Suppose -4*c + 701 = -3*k, c + 4*c = 2*k + 871. Suppose -3*x + 97 + 9 = -4*d, -4*x - d + c = 0. What is the remainder when 419 is divided by x?
41
Let n = 18927 + -18801. What is the remainder when 1549 is divided by n?
37
Let d(h) = -13*h + 1. Let u be d(-3). Let v = -28 + u. Suppose 0 = 21*w - 110 - 37. What is the remainder when v is divided by w?
5
Let v = 4068 + -3395. Calculate the remainder when v is divided by 66.
13
Suppose -19*x + 16*x = -156. Suppose 0*d + 3*d + x = l, 0 = 4*d + 5*l + 82. Let f(j) = -j**2 - 21*j - 41. Calculate the remainder when f(d) is divided by 5.
3
Let f(r) = -r + 1. Let p be f(-4). Suppose 8*a - p - 3 = 0. What is the remainder when ((-16)/20)/(a/(-80)) is divided by 22?
20
Let v = 319 + -317. Let t(l) = 32*l + 35. Calculate the remainder when t(v) is divided by 25.
24
Let g = 5062 + -4824. Calculate the remainder when 668 is divided by g.
192
Let w = 5842 + -5761. Suppose 4*o = 3*q + 2 - 177, 0 = -5*q - 4*o + 281. What is the remainder when w is divided by q?
24
Suppose -4*a - 36 = 2*i - 0*a, -36 = 2*i + 2*a. Let s be (12/i)/((-88)/(-30) - 3). Let y = 29 + s. Calculate the remainder when y is divided by 10.
9
Let u = 12867 - 12815. Calculate the remainder when 29533 is divided by u.
49
Suppose -c = 2*c. Suppose c*s - 2*s = -16. Let b(j) = j**2 - 5*j + 5. Calculate the remainder when 113 is divided by b(s).
26
Suppose 4*q = 2*j + 36, -21 = -2*q + 13*j + 21. Let a(f) = 13*f + 1. What is the remainder when a(4) is divided by q?
5
Let z(v) = 11*v**2 + 18*v - 146. Calculate the remainder when z(6) is divided by 7.
1
What is the remainder when 264 is divided by 262/21 + (-876)/(-1022) + 4/6?
12
Let g be 4/(1/(-57) - 0). Let b = 497 + g. Suppose -x - 9*k + 7*k + 43 = 0, -3*k - 138 = -3*x. Calculate the remainder when b is divided by x.
44
Let m = -10369 - -10390. Calculate the remainder when (-32)/6*90/(-4) is divided by m.
15
Suppose 5 = -4*l + 13. Suppose -5*c = b - 38, c = -0*c + l. Let v(q) = -q**2 + 8*q + 3. Calculate the remainder when b is divided by v(7).
8
Suppose -42*l = -1185 - 1293. What is the remainder when 150 is divided by l?
32
Let d = -39 - -38. Let m be 54/(-42) - d*(-2)/(-7). Let s = m - -11. Calculate the remainder when 48 is divided by s.
8
Let g = -9843 - -9887. What is the remainder when 1801 is divided by g?
41
Let t(i) = 197*i - 298. What is the remainder when 129 is divided by t(2)?
33
Let p = 103 + -89. Let j(z) = -z**3 - 6*z**2 - 4*z + 7. Let h be j(-5). What is the remainder when p is divided by (-2 - -1)*-2*h?
2
Let c(s) = -s**3 + 21*s**2 - 74*s - 55. Calculate the remainder when c(14) is divided by 81.
38
Let h(v) = -v**2 - 4*v + 8. Let n be h(6). Let y = n + 127. What is the remainder when y is divided by (-4)/(-34) + (-24300)/(-1530)?
11
Let u = -246 - -265. Calculate the remainder when 1 - 5716/(-34) - 22/187 is divided by u.
17
Calculate the remainder when 140 is divided by (693/84)/(1/8).
8
Suppose -117 = -9*z - 4*z. Suppose 5*h = -0*u - u + 1, z = u + h. What is the remainder when 92 is divided by u?
4
Let f(t) = t**2 - 8*t - 3. Let c be f(8). Let l be ((-21)/3 - c)/2. What is the remainder when 48 is divided by 45/27*(-12)/l?
8
Let p = 137 + -127. Calculate the remainder when 202 is divided by (6/p)/((0 + 5)/425).
49
Suppose 3465 = 28*w - 12327. Calculate the remainder when w is divided by 41.
31
Suppose 4*b + c = 1, -5*b - 2*c = 1 - 0. Suppose -423*g + 261 + 110 = -1321. What is the remainder when 46/(((-2)/(-2))/b) is divided by g?
2
Let t(q) = 4*q**2 - 4*q + 5. Let b(w) = 14*w + 56. Let n(o) = -o**3 + 3*o**2 + 15*o - 48. Let d be n(3). What is the remainder when t(4) is divided by b(d)?
11
Suppose -352 - 88 = -22*m. Calculate the remainder when 273 is divided by m.
13
Suppose -732 = r - 4*u - 820, -4*r - 3*u + 314 = 0. What is the remainder when 126 is divided by r?
46
Let o be (0 + -3)/((-72)/96). Suppose 3*l - 22 = -u, -o*u + 3*l + 88 = l. What is the remainder when 87 is divided by u?
21
Let g be (-4)/1 + (-2)/(12/474). Let m = -75 - g. Suppose 4*b - 3*p = -m*p + 80, 0 = -5*p + 20. Calculate the remainder when 54 is divided by b.
9
Let b = -233 + 239. Let o(j) = j**3 - 3*j**2 + 13*j - 24. Calculate the remainder when o(b) is divided by 42.
36
Let f(s) = s**3 - 4*s**2 + s - 9. Calculate the remainder when f(5) is divided by (1 - -2 - 5)/((-21)/42).
1
Suppose -5*v = -4*u - 94, -4*v + 2*v + 86 = -6*u. Suppose 4*o - 2*i - 228 = 0, -i + 238 = 4*o + 2*i. Calculate the remainder when o is divided by v.
8
Suppose -7690*b + 7691*b - 67 = 0. Calculate the remainder when 2140 is divided by b.
63
Let k = -17210 - -17308. What is the remainder when k is divided by 25?
23
Let w(f) = 1711*f - 313. Calculate the remainder when w(1) is divided by 35.
33
Suppose 5 = 2*x - 7. Calculate the remainder when (-1 - 1) + 58 + (52 - (89 - 45)) is divided by x.
4
Suppose -7 = -2*r + 1, -r - 41 = -3*q. Suppose 13*l = q*l - 8. Suppose -238 = -l*k + j - 4*j, -4*k - 2*j = -240. What is the remainder when 120 is divided by k?
59
Suppose -5*d = -3*i - 302, -5*d = i + 4*i - 270. Let m = d + -41. Suppose 2*r = -t + 25, 3*r + 142 = 5*t + m. Calculate the remainder when 121 is divided by t.
21
Let f = -1794 - -2748. Suppose -9*r + 8*r = 5*b - f, 2*b + 5*r = 377. Calculate the remainder when b is divided by 48.
47
Let v(o) be the first derivative of 2*o**3/3 - o**2/2 + 24*o + 4. Calculate the remainder when v(8) is divided by 37.
33
Suppose 588*n = 563*n + 3050. Let g = -62 - -87. What is the remainder when n is divided by g?
22
Suppose 4*x + b - 9 = 3*x, 0 = 4*x - b - 11. Suppose -v + 35 = -2*a, 0*v = -4*v - x*a + 200. What is the remainder when 86 is divided by v?
41
Suppose -5*k + 7 = -3. Suppose 6*v + 2*w - 30 = 4*v, -37 = -k*v + 5*w. Calculate the remainder when v is divided by (-295)/(-60) - (-1)/12.
1
Suppose k + h = -3*h - 10, h - 5 = -4*k. Suppose 0 = k*p + 217 + 9. Let f = -86 - p. Calculate the remainder when f is divided by 17.
10
Let r(o) = -262*o + 7961. Calculate the remainder when r(27) is divided by 110.
7
Let t(r) = -111*r - 4. Let i(l) = 17*l**2 - 8*l + 1. Let u be i(2). Let y = u + -54. Calculate the remainder when t(y) is divided by 27.
26
Let o(r) = 2*r**2 + 2*r + 401. What is the remainder when o(-42) is divided by 52?
49
Let k = 27 - 36. Let f be (k/(-2))/(-3 - 42/(-12)). Suppose c + 40 = f*c. Calculate the remainder when 18 is divided by c.
3
Suppose 3*u + 10 = 19. Suppose k - 265 = -3*k + 3*s, 204 = 3*k + u*s. What is the remainder when k is divided by 35?
32
Suppose 1328*y + 10101 = 1365*y. Calculate the remainder when y is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
t common factor of 12 and a?
12
Suppose -24 = -2*m + 6*m. Let h(f) = -f**2 - 1. Let k be h(m). Let s = k - -202. What is the greatest common divisor of s and 15?
15
Let z(w) = 57*w**2 + w. Let m be z(-1). What is the greatest common divisor of 7 and m?
7
Suppose -80 - 22 = -2*d. Suppose -4*j - 11 = -d. What is the highest common factor of j and 30?
10
Let g be (1 - 2)/(3/(-81)). Suppose 2*h - 10 = v, 4*h + 4*v = 3*h + 14. Suppose 6*a = 4*a + h. What is the greatest common divisor of g and a?
3
Suppose -2*t - u = 2*u - 104, 0 = 5*t + 5*u - 265. What is the greatest common factor of t and 5?
5
Suppose -4*u + 17 + 7 = 0. Let y = 10 - u. Suppose -l - 84 = -y*l. Calculate the greatest common divisor of l and 4.
4
Suppose 5*h = -25 + 30. Calculate the highest common factor of 4 and h.
1
Suppose 350 + 274 = 13*l. What is the highest common divisor of 80 and l?
16
Let f be (-2)/(6/9) + 1661. Let n be f/6 - (-1)/(-3). Suppose 0 = 4*k + 24 - n. Calculate the greatest common divisor of k and 9.
9
Let f(o) = o**2 - 2*o + 3. Let h(l) = l**2 + 2*l + 2. Let g be h(-2). Let r be f(g). Calculate the highest common factor of r and 3.
3
Let f = 6 - 2. Let n = 8 - f. Suppose n*m + m = 250. What is the greatest common factor of 10 and m?
10
Let c = -14 - -34. Calculate the highest common divisor of c and 4.
4
Suppose 3*v - 21 = -4*c, 2*v - c = -1 + 4. Let q be -12*3/(v/(-1)). What is the highest common factor of q and 12?
12
Let y be (20/(-18)*6)/(2/(-3)). Calculate the greatest common factor of 25 and y.
5
Let c = 0 - -1. Let p = -17 - -28. What is the greatest common divisor of p and c?
1
Let i be 0 + -1 + 5 + -3. Suppose -q + 6 = i. Suppose -160 = -0*p - 4*p. Calculate the greatest common divisor of p and q.
5
Suppose 2*l + 2*u = 10, u + 0*u + 37 = 5*l. Suppose l = 2*p - 13. Calculate the greatest common divisor of p and 20.
10
Suppose -3*n - 17 = -f, -1 = 3*f + 2*n + 3. Suppose 0 = f*q + 8 - 4, t + 3*q = 1. Calculate the highest common factor of 14 and t.
7
Let y(q) = -q**3 + 5*q**2 + 9*q - 4. Suppose -5*h - 2*h + 42 = 0. Let o be y(h). What is the highest common factor of 21 and o?
7
Suppose 4*k - 16 = 2*k. Let s = 13 + -18. Let f = 13 + s. What is the highest common factor of f and k?
8
Suppose 45 = u + m, m = -0*m. What is the greatest common factor of u and 5?
5
Let t = 18 - 12. Calculate the greatest common divisor of t and 54.
6
Let s(r) = r**3 - r**2 - r - 1. Let o = -5 + 8. Let k be s(o). What is the highest common factor of 7 and k?
7
Let p = 28 - -27. Calculate the highest common factor of 22 and p.
11
Let i = 171 - 11. What is the highest common divisor of 20 and i?
20
Let w(x) be the second derivative of -x**3/6 + 9*x**2/2 - 2*x. Let k be w(6). Calculate the highest common factor of k and 27.
3
Let j = 8 - 6. Let f be j/(-4) - 92/(-8). What is the highest common divisor of 1 and f?
1
Suppose 2*j + 3*d = -2*d - 57, 4*j - 3*d = -49. Let l be 4/j + (-161)/(-4). Calculate the greatest common factor of 4 and l.
4
Let c = -4 + 7. Suppose n = -c*n + 280. Suppose -3*a + 45 - 7 = -4*y, 4*a - 44 = 2*y. What is the highest common divisor of n and a?
10
Suppose -5*t + 10 = -3*t. Suppose 0 = 2*o + t*w - 17, o = 8*w - 3*w + 31. Calculate the greatest common factor of 2 and o.
2
Suppose 5*g + 95 = 5*h, -3*h + 2*h - 5*g = 5. What is the highest common divisor of 10 and h?
5
Let n = -8 - -23. Let q = 36 + -26. Suppose q = 3*u + 2*p - 5, -3*p = -3*u. What is the highest common factor of n and u?
3
Suppose 4 = 4*d + 2*i, 3*d + 5*i - 10 = -2*d. Let y(x) = -x**2 + x + 4. Let u be y(d). Calculate the highest common factor of u and 44.
4
Let j be 8/20 + (-73)/(-5). Let d be (-1)/(-3) - (-496)/6. Let x = d + 52. What is the greatest common factor of x and j?
15
Let d = -8 - -15. Let s be (-6)/(-4)*(-4)/(-6). What is the highest common factor of d and s?
1
Let r be 2/(-4)*1*-64. Suppose 4*v - r = -4*k - 0*v, k - 4*v = -17. Suppose k*s - 12 = 30. What is the highest common factor of s and 2?
2
Let u = 9 + -18. Let w(x) = -x - 1. Let o be w(u). Calculate the highest common divisor of o and 88.
8
Let m(g) = 2*g + 3. Let p be m(9). Let a = -386 + 642. Let z = -151 + a. What is the greatest common factor of z and p?
21
Let f = -25 - -53. Calculate the greatest common factor of 7 and f.
7
Suppose h = -7 + 16. Suppose -4*f = 5*u + 40 - 169, -3*f - 2*u = -102. Calculate the greatest common divisor of h and f.
9
Suppose -5*h + b + 90 = -4*b, -h - 4*b - 7 = 0. Let o(w) = w**3 + 9*w**2 + 6. Let p be o(-7). What is the greatest common divisor of p and h?
13
Let c = 34 - 26. Suppose 0 = -v - 4*m + 60, v - 3*m + 0 = 25. Calculate the greatest common divisor of v and c.
8
Let a(o) = 7*o**2 - 2*o + o**3 + 7*o - 3*o. Let q be a(-6). What is the greatest common factor of 72 and q?
24
Suppose -2*c - 2*c + 96 = 0. Suppose 4*z - t - 4 = 50, -2*z + c = t. Let l be 182/(-8)*(0 + -4). What is the highest common factor of z and l?
13
Let u(i) = i**2 - 5*i + 9. Let q = 8 + -2. Let k be u(q). Calculate the greatest common factor of 6 and k.
3
Let r be 5 - (4 + -117) - -1*3. Calculate the highest common factor of 11 and r.
11
Let o(u) = u - 5. Let v be (-3)/(-2)*(-20)/(-6). Let s be o(v). Let a = 1 - s. What is the highest common divisor of a and 9?
1
Suppose 4*k - 5*c = 6, 22 = 5*k + 3*c - 2*c. Calculate the highest common factor of 12 and k.
4
Suppose -13 - 72 = -5*t. Calculate the greatest common divisor of t and 187.
17
Let q(o) = -3*o - 1. Let h be q(-2). Let v be 497/h - 2/5. Let j be -1 + (2 - 2) - -10. Calculate the greatest common factor of j and v.
9
Let y be 39*(1/3 - 0). Suppose -p - 4*u = -y, -2*p - 2*u - 7 = -3*p. What is the highest common divisor of 1 and p?
1
Let c be -234*6/(-9)*1. Let j = -76 + c. What is the highest common divisor of j and 8?
8
Let j(o) = 2*o**2 - o + 2. Let i = 6 + -6. Let n = i + -2. Let x be j(n). Calculate the highest common factor of x and 3.
3
Let j be 183/21 - 2/(-7). Suppose -k - 4*k - 2510 = -2*t, k - 4*t + 502 = 0. Let q be (-12)/(-42) - k/7. Calculate the highest common divisor of j and q.
9
Let d = 7 + -5. Let j = 0 - -4. Suppose -3*y = -5*c - 176, -d*y - 3*c - 116 = -j*y. Calculate the greatest common factor of y and 13.
13
Suppose w - 8*w + 224 = 0. Suppose 2*m - 4*j = w, 0*m - 2*j - 34 = -4*m. Calculate the highest common factor of 12 and m.
6
Let b be 0*(1 + 2*-1). Let y be 4 + -2 + 10 + b. Suppose -3*k + 40 = g, -2*g - g - y = -2*k. What is the highest common divisor of 4 and k?
4
Suppose 3*k - 5*d - 92 = 0, -2*k - 142 = -6*k - 3*d. What is the greatest common factor of k and 51?
17
Let m(z) = z**3 + 4*z**2 - 5*z - 4. Let p be m(-4). Let t = 121 + 23. What is the greatest common factor of t and p?
16
Let y(z) = z - 1. Let c be y(5). Suppose -i + c = i. Suppose -3*q - q = -8. What is the highest common divisor of q and i?
2
Let h = 9 - -66. Let a = h - 112. Let p = 58 - a. What is the greatest common divisor of 19 and p?
19
Let f(o) = -2*o**2 - 2*o + 1. Let w be f(1). Let x be 14 - (w - 2 - -3). What is the greatest common divisor of x and 128?
16
Let n be ((-154)/33)/(2/(-15)). Let o be (-186)/(-10) - (-14)/n. Calculate the highest common factor of o and 76.
19
Let z(t) = t**2 - 8*t + 10. Let l be z(7). Let v(y) = -3*y**2 + 1 - 2*y**2 + y**l + 8*y**2 + 2*y. Let k be v(-2). What is the highest common factor of 5 and k?
1
Suppose 5*w - 71 = 9. Let o(s) = 4*s - 4. Let x be o(5). Calculate the highest common divisor of x and w.
16
Let v = 132 + -60. Suppose -h + 11 = -s + 2*s, 5*h - 5*s = 25. What is the greatest common factor of v and h?
8
Let p(y) = -2*y**2 + 18*y + 1. Let l be p(7). Calculate the highest common factor of 261 and l.
29
Let s = 215 - 305. Let o = 160 + s. Suppose -5*m = 2*p - 25, -5 + 31 = 3*m - p. What is the greatest common factor of m and o?
7
Suppose 2*g + 58 = t, 5*g + 347 - 37 = 5*t. Calculate the highest common factor of t and 11.
11
Suppose 3*r - 4*l = -l + 15, 4*r - 5*l - 23 = 0. Suppose -5*o - 13 + 48 = -r*g, 0 = -2*o - 3*g + 33. What is the greatest common divisor of o and 1?
1
Suppose 0 = -c + 3*g + 25, -4*c - 3*g = g - 20. Let y = 49 + -29. Calculate the greatest common factor of c and y.
10
Suppose -2*t - 28 = -4*k, 0 = -3*t + 4*t. What is the highest common factor of 21 and k?
7
Let y = 235 - 135. What is the high
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - n**2*r**2 - n*r**2 + 84682*n + r**2 wrt n?
5856426*j**2*r**2 + 180*j*r**2
What is the third derivative of -13384948*q**3 + 20767629*q**2 wrt q?
-80309688
What is the second derivative of 14352613*u**2 + u + 2526797 wrt u?
28705226
What is the derivative of 1089*d**2*t**3 + 137922056*d**2 + 36272*t**3 wrt t?
3267*d**2*t**2 + 108816*t**2
What is the second derivative of -1683*w**5 + 3*w**3 - 119*w**2 - 59950431*w wrt w?
-33660*w**3 + 18*w - 238
Find the third derivative of -68583*x**4 + 67*x**3 - 6390336*x**2.
-1645992*x + 402
What is the second derivative of 68367183*c**4*i**2 - 382*c*i**2 - 41*i**2 - 50 wrt c?
820406196*c**2*i**2
Find the third derivative of 111116*h**4*j**2 - 305*h**4*j + 75593066*h**2*j**2 wrt h.
2666784*h*j**2 - 7320*h*j
Find the third derivative of 15126680*f**3 + 1262*f**2 - 508*f - 1 wrt f.
90760080
What is the second derivative of 34482447*i**3 - 47677913*i?
206894682*i
What is the second derivative of 311627*j**2*r**2 - j**2*r + 17194*j**2 - 2*j*r - 5*r**2 - 102*r wrt r?
623254*j**2 - 10
Find the first derivative of -363278984*m - 30090385.
-363278984
Find the third derivative of i**5 - 5740606*i**4 - 983535*i**2 - 2*i.
60*i**2 - 137774544*i
What is the first derivative of -19406346*i + 8442514?
-19406346
Find the third derivative of 741*a**4 - 530247*a**3 + 590*a**2 + 35963 wrt a.
17784*a - 3181482
Find the second derivative of -198234295*n**4 + 161521*n + 1935 wrt n.
-2378811540*n**2
Find the second derivative of 32356733*y**2 - 44*y - 120804.
64713466
What is the first derivative of -9747121*g**3*i - 103202856*g**3 + 3*g**2*i wrt i?
-9747121*g**3 + 3*g**2
Find the second derivative of 21639366*m**4 + 174428605*m.
259672392*m**2
What is the third derivative of 405654607*i**3 - 1696968*i**2 - 90*i - 1 wrt i?
2433927642
Find the second derivative of -177*i**3*q + 2*i**2*q - 1114614*i**2 + 113717*i*q + i - 2*q - 177 wrt i.
-1062*i*q + 4*q - 2229228
Find the second derivative of 801039*d**3*s**2*z**2 - d**3*s*z**2 + 2*d**3*s + 75*d**3*z**2 + 223*d**3*z + 69*d*s**2*z**2 - 116*d wrt s.
1602078*d**3*z**2 + 138*d*z**2
Find the second derivative of 5*b**2*s**3*u - 927891*b**2*s**2*u**3 - 237*b*s**3*u**3 + 2*b*s**2*u**3 + 3265*s**2*u**2 wrt b.
10*s**3*u - 1855782*s**2*u**3
Find the third derivative of -2948*k**4 - 916*k**3 + k**2 + 2*k + 106024.
-70752*k - 5496
What is the second derivative of 897512129*a**2 + 274682243*a?
1795024258
What is the derivative of 20311254*c**2 + 57263919 wrt c?
40622508*c
Find the second derivative of 5*b**5*y + 110889324*b**3*y + 3*b*y + 1634*b + y - 1173 wrt b.
100*b**3*y + 665335944*b*y
What is the derivative of 163244535*l + 148542315?
163244535
What is the derivative of 147829899*n - 31389149 wrt n?
147829899
Find the third derivative of 1561298044*b**3*v**3 + 3*b**2*v**3 + 5145648*b**2*v**2 + 7*v**3 wrt b.
9367788264*v**3
Find the second derivative of -28*y**4 + 63316*y**3 - 1322739*y wrt y.
-336*y**2 + 379896*y
Find the first derivative of c*j**2 + 9864*c*j + 1125*c + 89*j**2 - 2*j - 8940 wrt j.
2*c*j + 9864*c + 178*j - 2
Differentiate -1520966*l**2 + 5*l + 25733480 wrt l.
-3041932*l + 5
What is the second derivative of 62*c**5*g*n - 6000*c**5*n + c*g*n - c*n - 3*c + 981*g*n + 72*g wrt c?
1240*c**3*g*n - 120000*c**3*n
Find the second derivative of 3619*f*o**3 + 2*f*o + 107711*f - 5709*o**3 - 196*o wrt o.
21714*f*o - 34254*o
Differentiate -545*j**2 + 607470*j - 1157950866.
-1090*j + 607470
Find the second derivative of -75324519*v**4 + 9933515*v.
-903894228*v**2
What is the third derivative of -5172*c**4*r**2 - 1881*c**3*r**2 + 6*c**2*r**2 - 16*c**2*r - 4788*c*r**2 wrt c?
-124128*c*r**2 - 11286*r**2
Differentiate 961962556*g*p**3 - 2*p**3 + 212269447*p with respect to g.
961962556*p**3
What is the second derivative of -128405151*b*f**2 + 10*b*f + 467*b + 20*f wrt f?
-256810302*b
What is the third derivative of -62*l*s**3 - 11*l*s - l - 642837*s**3 - 17*s**2 - 113330 wrt s?
-372*l - 3857022
Find the second derivative of 49262010*b**2*n - 1942*b*n + 4236*n wrt b.
98524020*n
What is the second derivative of -81532*l**3 - 761*l**2 + 65*l + 297527?
-489192*l - 1522
What is the second derivative of 22711598*h**3*i*t**2 + h**3*i - h**2*i**2*t**2 - 689*h**2*i**2 + 35*h**2*i*t - 5*h*i**2*t wrt t?
45423196*h**3*i - 2*h**2*i**2
Find the third derivative of 59117577*l*o**4 + 6*l*o**2 + l*o + 110942*l + 14*o**2 wrt o.
1418821848*l*o
What is the first derivative of -14*y**2 - 15956*y + 4752230?
-28*y - 15956
Differentiate 9842479*c**2 - 27206482 wrt c.
19684958*c
What is the first derivative of -5127*b**3*j**2 + 2*b**3 + 40996*b**2 - 2762*b*j**3 - 2*b - 64 wrt j?
-10254*b**3*j - 8286*b*j**2
What is the third derivative of -217611*k*q**3 + 8*k + 74*q**3 - q**2 - 76886 wrt q?
-1305666*k + 444
What is the third derivative of -l*n*y**3 - 2351*l*n - 407*l*y**3 + 27*l*y**2 + l - 258*n*y**3 - 5*y**3 wrt y?
-6*l*n - 2442*l - 1548*n - 30
What is the third derivative of 56131886*d**3*j**2*q + 2*d**3*q - 16308*d**2 + 912*d*j**2*q - d*q wrt d?
336791316*j**2*q + 12*q
Differentiate -k**3*q + 36*k**3 + 6*k**2*q - 243482*k**2 + 445*k*q - 3714*q with respect to q.
-k**3 + 6*k**2 + 445*k - 3714
Find the third derivative of -157*b**5 + 2283*b**3 - 24*b**2 + 4593 wrt b.
-9420*b**2 + 13698
What is the derivative of 12*r*t**2*x - 2*r*t*x - 6*r*t - 1399*r + 164*t**2*x - 249*t**2 + 5*t*x - x wrt r?
12*t**2*x - 2*t*x - 6*t - 1399
Differentiate -4213840*q**3 + 5811066.
-12641520*q**2
What is the third derivative of 381*b**6*c + 9173*b**5*c*d + 2*b**2*c - 69*b**2*d - 3*b*d + 20*d + 2 wrt b?
45720*b**3*c + 550380*b**2*c*d
What is the second derivative of -3*f**5 - 326957*f**2 - 546*f + 3622?
-60*f**3 - 653914
Find the third derivative of -292103920*i**3 + 33*i**2 + 100378*i - 1 wrt i.
-1752623520
What is the first derivative of 61086585*a + 60589011?
61086585
Find the second derivative of -2*g**2*o**2 + 31068*g**2*o - 6*g**2 - g*o**2 + g*o + 1361750*o**2 wrt o.
-4*g**2 - 2*g + 2723500
Find the first derivative of 5*h*o**2 - 337929*h*o + 235461883*h wrt o.
10*h*o - 337929*h
Find the third derivative of -73*z**6 + 196931*z**4 + 6*z**2 + 767013.
-8760*z**3 + 4726344*z
Find the third derivative of -8209074*s**3 - 7*s**2 + 47423*s.
-49254444
Find the third derivative of 1307089502*k**4 - 196374467*k**2 + 2*k.
31370148048*k
Differentiate 49562014*k - 12457867 with respect to k.
49562014
What is the first derivative of -33776622*t**3 - 2*t**2 + 21863279 wrt t?
-101329866*t**2 - 4*t
Find the second derivative of 3263*j**4 - 88*j**2 + 4235918*j wrt j.
39156*j**2 - 176
Find the third derivative of -54*w**6 - 702548*w**4 - 23*w**2 - 43*w - 32752.
-6480*w**3 - 16861152*w
What is the second derivative of -108*f**2*x - 287238*f**2 - 5071428*f*x - 3*x + 1 wrt f?
-216*x - 574476
What is the third derivative of -131*l**6 - 10*l**5 - 72*l**3 - 115716*l**2 - 11*l wrt l?
-15720*l**3 - 600*l**2 - 432
Differentiate -26060307*j**3 - 150930910 with respect to j.
-78180921*j**2
Differentiate -263*i**3 - 2*i**2*t**3 - 1435*i**2 - 5588478*t**3 wrt i.
-789*i**2 - 4*i*t**3 - 2870*i
What is the first derivative of -1009*l**2*t**3 + 207*l**2 - 654*l*t - t**3 + 17*t**2 + 1117*t + 584 wrt l?
-2018*l*t**3 + 414*l - 654*t
Find the third derivative of -5308*i**3*m*t - 3467*i**3*t + i**2*m + 11*i**2*t + i**2 - 6572*m*t - 4*m wrt i.
-31848*m*t - 20802*t
What is the derivative of 303*b**3*h - 3834*b*h - 70*h + 158216 wrt b?
909*b**2*h - 3834*h
What is the first derivative of 1784695*m - 9640385?
1784695
Find the first derivative of 142385729*d**3 + d - 321438830.
427157187*d**2 + 1
What is the third derivative of -14*o**5 + 60*o**4 - 90601*o**3 + 50*o**2 - 36*o - 2860 wrt o?
-840*o**2 + 1440*o - 543606
What is the second derivative of 49022200*k**2 - 3*k + 128458179 wrt k?
98044400
Find the third derivative of -9247209*j**4 + 11*j**2 - 3*j + 620528 wrt j.
-221933016*j
Find the third derivative of 5*j**3*m + 542728*j**3 + 735071*j**2 + 19*m wrt j.
30*m + 3256368
Find the third derivative of 54*b**6 - 63253*b**5 + 2*b**3 + 66*b**2 + 3440*b + 2 wrt b.
6480*b**3 - 3795180*b**2 + 12
Find the first derivative of -41694983*t**2 + 27055986.
-83389966*t
What is the first derivative of 165172644*h - 192657100 wrt h?
165172644
What is the third derivative of -1069*u**6 -
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.