text
stringlengths 270
8.19k
| meta
dict |
|---|---|
nd 9?
9
Calculate the highest common divisor of 407 and 31783.
37
Calculate the greatest common factor of 275 and 451.
11
What is the highest common factor of 13440 and 42?
42
What is the greatest common divisor of 45 and 4545?
45
What is the greatest common factor of 4778388 and 116?
116
Calculate the highest common factor of 2058 and 1533.
21
Calculate the highest common factor of 180502 and 14.
14
What is the greatest common factor of 519 and 103973?
173
Calculate the highest common factor of 110 and 20438.
22
Calculate the highest common divisor of 135 and 12798.
27
Calculate the highest common divisor of 25862 and 1474.
134
Calculate the highest common divisor of 420 and 169680.
420
What is the greatest common divisor of 51957 and 414?
207
Calculate the highest common divisor of 16 and 18472.
8
Calculate the greatest common divisor of 1548 and 22500.
36
Calculate the greatest common divisor of 1790 and 2760.
10
What is the highest common divisor of 3572646 and 21?
21
Calculate the highest common divisor of 7 and 626213.
7
Calculate the greatest common factor of 252 and 35140.
28
What is the greatest common factor of 54084 and 84?
12
Calculate the greatest common divisor of 15 and 3495.
15
What is the highest common factor of 9751 and 343?
49
What is the greatest common divisor of 805 and 299?
23
Calculate the highest common divisor of 1100 and 49700.
100
What is the greatest common divisor of 2 and 509?
1
What is the highest common divisor of 400037 and 451?
451
Calculate the greatest common divisor of 2340 and 151308.
36
What is the greatest common factor of 2025 and 8655?
15
Calculate the greatest common divisor of 54 and 10818.
18
Calculate the highest common factor of 70 and 47635.
35
What is the highest common factor of 8 and 1439?
1
What is the greatest common factor of 552 and 158493?
69
Calculate the highest common divisor of 24 and 110829.
3
What is the highest common divisor of 29 and 82?
1
What is the highest common divisor of 128 and 14320?
16
Calculate the highest common factor of 3198570 and 30.
30
What is the highest common divisor of 67661 and 22?
11
What is the greatest common factor of 315 and 21070?
35
What is the highest common factor of 25327 and 3483?
43
What is the greatest common divisor of 4256 and 14?
14
Calculate the highest common divisor of 3584 and 36608.
256
Calculate the highest common factor of 90 and 47390.
10
What is the greatest common factor of 203148 and 198?
198
What is the highest common factor of 56771 and 1588?
397
Calculate the greatest common divisor of 139 and 17.
1
Calculate the greatest common factor of 17390 and 3145.
185
What is the greatest common divisor of 18386 and 116?
58
Calculate the highest common factor of 138553 and 27790.
397
Calculate the greatest common divisor of 100 and 62570.
10
What is the highest common divisor of 980 and 40970?
10
Calculate the greatest common divisor of 143 and 637.
13
What is the greatest common divisor of 1592531 and 1761?
587
What is the highest common divisor of 136700 and 1900?
100
What is the highest common factor of 130 and 5400?
10
What is the greatest common factor of 299689 and 13?
13
Calculate the highest common divisor of 16675 and 25.
25
Calculate the highest common divisor of 783 and 27231.
87
Calculate the highest common divisor of 18458 and 154.
22
Calculate the greatest common divisor of 9338 and 3248.
406
What is the highest common divisor of 2859472 and 1232?
1232
What is the greatest common factor of 11499 and 3?
3
What is the highest common factor of 7210 and 70?
70
What is the highest common factor of 3260514 and 37?
37
What is the greatest common factor of 89205 and 626?
313
Calculate the greatest common factor of 6794 and 2054.
158
What is the highest common factor of 352503 and 954?
477
Calculate the highest common factor of 902 and 62788.
22
What is the greatest common factor of 357 and 18309?
51
Calculate the highest common factor of 208 and 3289.
13
Calculate the greatest common factor of 3230 and 666026.
646
Calculate the highest common divisor of 44556 and 12.
12
Calculate the greatest common factor of 9585 and 2295.
135
What is the greatest common factor of 855429 and 68325?
2733
What is the greatest common divisor of 689 and 1876836?
689
Calculate the highest common factor of 196 and 1028902.
98
Calculate the greatest common factor of 191 and 664871.
191
Calculate the highest common divisor of 677768 and 11704.
1064
Calculate the greatest common factor of 3660 and 1140.
60
What is the greatest common divisor of 714 and 429709?
119
Calculate the greatest common divisor of 4550 and 15850.
50
Calculate the greatest common divisor of 316 and 5372.
316
Calculate the highest common divisor of 4111758 and 168.
42
What is the greatest common factor of 107677 and 29?
29
Calculate the highest common factor of 359459 and 101.
101
Calculate the greatest common factor of 1557671 and 1087.
1087
Calculate the highest common factor of 30601 and 213.
71
What is the greatest common factor of 2321971 and 38?
19
What is the greatest common factor of 1659803 and 82?
41
What is the greatest common factor of 292 and 40588?
292
Calculate the highest common divisor of 4 and 772.
4
What is the greatest common factor of 10 and 4155950?
10
Calculate the highest common divisor of 111 and 11292918.
111
Calculate the highest common factor of 6 and 49.
1
Calculate the greatest common factor of 10 and 304270.
10
What is the greatest common factor of 564 and 96?
12
Calculate the highest common factor of 193614 and 366.
366
What is the greatest common factor of 30 and 1840?
10
What is the greatest common divisor of 85345 and 41405?
845
Calculate the greatest common factor of 6920 and 1000.
40
What is the highest common factor of 636 and 1204372?
212
Calculate the highest common factor of 10784 and 8425.
337
What is the highest common factor of 48 and 58500?
12
What is the greatest common divisor of 23220 and 688?
172
What is the highest common factor of 1408024 and 584?
584
What is the highest common factor of 21 and 553?
7
What is the greatest common divisor of 666 and 31154?
74
Calculate the greatest common factor of 11346 and 217.
31
Calculate the greatest common factor of 610 and 64970.
10
What is the highest common factor of 96396 and 277?
277
Calculate the greatest common divisor of 40782 and 42.
42
Calculate the greatest common factor of 3475 and 175.
25
Calculate the highest common divisor of 2379 and 228567.
183
What is the greatest common factor of 2604 and 420?
84
Calculate the highest common divisor of 102296 and 760.
152
What is the highest common divisor of 605 and 419991?
121
What is the highest common divisor of 106818 and 1938?
114
Calculate the greatest common factor of 5212 and 886.
2
What is the greatest common factor of 3901261 and 997?
997
What is the highest common divisor of 392 and 4360?
8
What is the greatest common factor of 377836 and 1652?
236
Calculate the greatest common divisor of 12 and 11733.
3
What is the greatest common divisor of 4449 and 51?
3
Calculate the greatest common divisor of 20 and 29005.
5
Calculate the greatest common factor of 469 and 2912.
7
What is the greatest common divisor of 3924 and 6976?
436
What is the highest common factor of 72933 and 23?
23
What is the highest common factor of 135 and 2287899?
27
Calculate the greatest common factor of 852 and 5181438.
426
What is the greatest common factor of 43415 and 1425?
95
Calculate the greatest common factor of 695295 and 36.
9
Calculate the highest common factor of 1518 and 180826.
46
What is the greatest common divisor of 5010332 and 412?
412
Calculate the highest common divisor of 80 and 38816.
16
Calculate the highest common divisor of 2080 and 59860.
20
What is the highest common divisor of 297 and 127791?
27
What is the greatest common divisor of 3 and 87858?
3
Calculate the highest common factor of 2607 and 79.
79
What is the greatest common factor of 78 and 59631?
39
What is the highest common divisor of 90319 and 2353?
181
What is the greatest common divisor of 935 and 2924?
17
Calculate the greatest common divisor of 61567 and 22.
11
What is the highest common divisor of 1573 and 902?
11
Calculate the greatest common divisor of 268 and 46967
|
{
"pile_set_name": "DM Mathematics"
}
|
erms in 122431475 + 5*v - 122431475.
5*v
Collect the terms in 3641*a**3 + 3705*a**3 + 3709*a**3 - 11048*a**3.
7*a**3
Collect the terms in 22630*w - 11330*w - 11303*w.
-3*w
Collect the terms in 581*j**3 - 16*j**2 + 3*j**2 + 10*j**2 - 109*j**3.
472*j**3 - 3*j**2
Collect the terms in -22*g**2 - 54 + 17*g**2 + 54 + 6*g + 7*g**3.
7*g**3 - 5*g**2 + 6*g
Collect the terms in 100*f + 9 - 304*f + 110*f + 91*f - 9.
-3*f
Collect the terms in -2*y - 227*y**3 + 969*y**3 + 213*y**3.
955*y**3 - 2*y
Collect the terms in -7*o - 6*o - 14*o + 23*o - 4*o.
-8*o
Collect the terms in -1 + 2 - 1 - 215435*x**2.
-215435*x**2
Collect the terms in 1846*z - 1846*z - 3949*z**3.
-3949*z**3
Collect the terms in 138 - 246 + 100 + 16*c.
16*c - 8
Collect the terms in 27 + 4*o + 957*o**2 - 171*o**2 - 2*o - 25.
786*o**2 + 2*o + 2
Collect the terms in -343*z + 17*z + 674*z - 351*z.
-3*z
Collect the terms in 67 - 204 + 67 + 105*r**2 + 69.
105*r**2 - 1
Collect the terms in 9075 - 23*v + 296*v - 4533 - 4542.
273*v
Collect the terms in 4*z**2 - 249 + 11*z**2 - 19*z**2 + 2*z**2.
-2*z**2 - 249
Collect the terms in 12*k - 43*k - 5*k + 9*k.
-27*k
Collect the terms in 53 - 12*x**2 + 28*x**2 - 17*x**2 - 53.
-x**2
Collect the terms in -100*g + 0 + 2*g**3 - 295*g + 395*g + 0.
2*g**3
Collect the terms in 959 - 959 + 3*c**2.
3*c**2
Collect the terms in -1696*x**2 - 296*x**2 + 409*x**2 - 875*x**2 - 26*x**2.
-2484*x**2
Collect the terms in -18*t**2 + 7*t**2 - 67*t**3 + 11*t**2 - 105*t**3.
-172*t**3
Collect the terms in 31*c**2 + 18*c**3 - 92*c**2 + 61*c**2.
18*c**3
Collect the terms in 2*k - 1739*k**2 - 2*k - 942*k**2.
-2681*k**2
Collect the terms in -25058*a + 80 - 80.
-25058*a
Collect the terms in -7825*s + 8958*s + 14431*s.
15564*s
Collect the terms in -89 - u**2 + 81*u + 89.
-u**2 + 81*u
Collect the terms in -1303*a**2 + 0 + 0 + 1315*a**2.
12*a**2
Collect the terms in -39*d**3 + 2*d - 62*d**3 - 2*d + 155*d**3 - 23*d**3 + d.
31*d**3 + d
Collect the terms in 26 + 4*b - 15 + 2*b - 15.
6*b - 4
Collect the terms in 7*z - 11762*z**3 + 12*z - 19*z.
-11762*z**3
Collect the terms in 863976*d**2 - 5*d**3 - 863976*d**2.
-5*d**3
Collect the terms in -3*n - 6*n - 9*n - n - 12*n + 36*n.
5*n
Collect the terms in -46*v**3 + 0*v**2 - 8*v**3 + 72*v**3 + 0*v**2.
18*v**3
Collect the terms in -14*i**3 - 47*i**3 + 43*i**3.
-18*i**3
Collect the terms in -3 + 1 + 2 - 31302*a.
-31302*a
Collect the terms in 78*r**2 + 73*r**2 - 160*r**2.
-9*r**2
Collect the terms in 209*k**3 - 4*k + 658*k**3 + 21*k.
867*k**3 + 17*k
Collect the terms in -4*g - 12864892*g**2 + 3*g + 0*g + g + 12864889*g**2.
-3*g**2
Collect the terms in -21*q + 10 + 6*q - 10 + 6*q.
-9*q
Collect the terms in 554 + 485 - 1039 + 2*k.
2*k
Collect the terms in 7937873*x - 3968943*x - 3968945*x.
-15*x
Collect the terms in -1491*k**3 + 21 - 44 - k + 2*k + 23 + 1496*k**3.
5*k**3 + k
Collect the terms in r**2 + 0*r**2 + r**2 - 18*r**2 - 8*r + 17*r**2.
r**2 - 8*r
Collect the terms in 11 - 11 + 36*z + 72*z.
108*z
Collect the terms in 179*o - 267*o - 87*o + 174*o.
-o
Collect the terms in -437*h**2 - 7*h**3 - 9*h**3 + 287*h**2 + 13*h**3.
-3*h**3 - 150*h**2
Collect the terms in -661*l - 270*l - 33*l - 136*l.
-1100*l
Collect the terms in 125*m - 160*m - 102*m + 137*m - 5*m**2.
-5*m**2
Collect the terms in 13*c**2 + 0*c**2 + 2*c - 9*c**2.
4*c**2 + 2*c
Collect the terms in 30*v**2 + 505*v - 40*v**2 - 1017*v + 512*v + 8*v**2.
-2*v**2
Collect the terms in -4 + 45*z**3 + 39*z**3 + 56*z**3 + 4.
140*z**3
Collect the terms in -37*j**2 - 42*j**2 - 35*j**2 - 31*j**2 + 139*j**2.
-6*j**2
Collect the terms in 6684*w**3 - 13381*w**3 + 6691*w**3.
-6*w**3
Collect the terms in 4527*b + 19158*b + 2699*b - 2575*b.
23809*b
Collect the terms in 84*q**3 + 5 + 2*q - 5 - 9*q**2 - 32*q**3.
52*q**3 - 9*q**2 + 2*q
Collect the terms in -19088*b - 19080*b + 57248*b - 19082*b.
-2*b
Collect the terms in 25*c - 12*c + 23*c + 14*c - 9*c.
41*c
Collect the terms in 482 - 483 - 3844*g**2 + 3873*g**2.
29*g**2 - 1
Collect the terms in -1033*d**2 + 919*d**2 - 19*d + 19*d.
-114*d**2
Collect the terms in -117*y - 96*y + 55*y**2 + 213*y.
55*y**2
Collect the terms in -432227 - 44*q**3 + 432227.
-44*q**3
Collect the terms in -176*f**3 - 181*f**3 - 181*f**3 + 886*f**3 - 178*f**3 - 173*f**3.
-3*f**3
Collect the terms in 24*b + 2*b**2 - 43*b - 10*b**3 - 2*b**2 + 16*b.
-10*b**3 - 3*b
Collect the terms in 55283*s**3 + 10490*s**3 - 15878*s**3.
49895*s**3
Collect the terms in j**3 - 752*j + 752*j - 15*j**2.
j**3 - 15*j**2
Collect the terms in -s**2 - 1 + 7*s**2 - 6*s**2 + 76890*s + 2*s**2.
2*s**2 + 76890*s - 1
Collect the terms in -8952 + 4472 + 4480 - r + 6*r.
5*r
Collect the terms in 368*q + 12 + 16 - 366*q.
2*q + 28
Collect the terms in 98*s**2 - 202*s**2 - 3*s**3 + 104*s**2.
-3*s**3
Collect the terms in -185 - 171 + c**2 - 186 + 542.
c**2
Collect the terms in 77*r**2 - 115*r - 100*r + 218*r.
77*r**2 + 3*r
Collect the terms in -60559802 + 13*c + 60559802.
13*c
Collect the terms in -92*w**3 - 5487*w**2 + 5487*w**2.
-92*w**3
Collect the terms in 0*s - 9350*s**2 + 0*s + 9374*s**2.
24*s**2
Collect the terms in 8794804 + 85*c**2 - 8794804.
85*c**2
Collect the terms in 312*d - 40*d + 549*d.
821*d
Collect the terms in -6*v - 2*v - 12*v - 132 + 132.
-20*v
Collect the terms in -404*v - 406*v + 823*v.
13*v
Collect the terms in 75415*d**2 + 68853*d**2 - 144267*d**2.
d**2
Collect the terms in -279 + 3*s**3 - 34*s + 34*s.
3*s**3 - 279
Collect the terms in -6282*c**3 - 6271*c**3 + 12529*c**3.
-24*c**3
Collect the terms in -69*v**3 - 821 + 430 + 391.
-69*v**3
Collect the terms in -z + 95*z**2 - 35*z**2 + 8*z**3 - z**3 - 2*z.
7*z**3 + 60*z**2 - 3*z
Collect the terms in -37*i**2 - 296*i + 299*i - 179*i**2.
-216*i**2 + 3*i
Collect the terms in 18*d + 6*d - d + 11*d - 7*d.
27*d
Collect the terms in 14*s**3 + 2870269*s**2 - 2870269*s**2.
14*s**3
Collect the terms in 61*h**2 + 43190 - 2*h + 2*h - 43193.
61*h**2 - 3
Collect the terms in -27287*v**2 - 27287*v**2 + 54573*v**2.
-v**2
Collect the terms in 5*t**2 + 52 - 24 + 26.
5*t**2 + 54
Collect the terms in -n - 116 - 104 + 581 - 361.
-n
Collect the terms in 11939*h**2 - 5966*h**2 - 5974*h**2 + 68*h - 14*h**3.
-14*h**3 - h**2 + 68*h
Collect the terms in -184*i**3 - 30*i**2 - 23*i**2 + 53*i**2.
-184*i**3
Collect the terms in -11 - 3*w + 3*w**2 - 4*w**2 + 4*w**3 + w**2.
4*w**3 - 3*w - 11
Collect the terms in -17*v**2 - v - 120*v**2 + v.
-137*v**2
Collect the terms in 3 - 16*k + 2 + 62*k - 4 + 119*k.
165*k + 1
Collect the terms in -79*i**3 - 37*i**3 - 40*i**3 + 34*i**3.
-122*i**3
Collect the terms in 4*j + 9*j + j**3 - 13*j - 2 + 18.
j**3 + 16
Collect the terms in 12965472 - 12965472 + 4*n**3.
4*n**3
Collect the terms in 10 - 4 - 4*n**2 + 4.
-4*n**2 + 10
Collect the terms in 5581606 - 5581606 + 5*u**3 - 22*u**3.
-17*u**3
Collect the terms in 20788 - 567*s + 569*s - 20788.
2*s
Collect the terms in -7329*w - 9024*w - 559*w.
-16912*w
Collect the terms in 0*b + 11*b + 50*b - 46*b + 0*b.
15*b
Collect the terms in -81*y - 3*y**2 + 8*y**2 - y**2 + 84*y.
4*y**2 + 3*y
Collect the terms in 68*s**2 - s + 138*s**2 + 99*s**2 + s.
305*s**2
Collect the terms in -30*d - 3*d**3 + 103*d - 44*d - 29*d.
-3*d**3
Collect the terms in -6*j + 21*j + 103*j - 8*j.
110*j
Collect the terms in 17894546*r - 17894546*r - 24*r**3.
-24*r**3
Collect the terms in 0*r - 83641*r**2 + 83631*r**2 + 0*r.
-10*r**2
Collect the terms in 17*v**3 + 7*v**3 - 514 + 514.
24*v**3
Collect the terms in -89*d**3 + 30*d**3 + 27*d**3 + 27*d**3.
-5*d**3
Collect the terms in -22013*x**2 + 11034*x**2 + 10980*x**2.
x**2
Collect the terms in -473 - 2*d + 473 + 1775*d**3.
1775*d**3 - 2*d
Collect the terms in -112*r**3 + 127*r**3 - 120*r**3 - 67*r**3.
-172*r**3
Collect the terms in 209*b**3 - 1 + 103*b**3 + 1.
312*b**3
Collect the terms in -513*y - 116 - 2*y**2 + 513*y.
-2*y**2 - 116
Collect the terms in 2*c - 4426 - c + 4426.
c
Collect the terms in -202*v + 1411 + 109*v - 705 - 706 + 96*v.
3*v
Collect the terms in 2 - 1350*u**3 - 4 + 2589*u**3.
1239*u**3 - 2
Collect the terms in -13 + 702*l + 23 - 11.
702*l - 1
Collect the terms in -505 + 503 - 198*j**2 + 206*j**2.
8*j**2 - 2
Collect the terms in -38*v**3 + 153*v**3 - 63*v**3 - 47*v**3.
5*v**3
Collect the terms in -3*c**3 - 661852124 + 0*c**2 + 0*c**2 + 661852124.
-3*c**3
Collect the terms in 0*w*
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is smaller: 1 or -296261.2?
-296261.2
Is 0 greater than or equal to -4/9916485?
True
Is 0 at least as big as 3/274505?
False
Is -52419 bigger than 10?
False
Which is smaller: 10/729 or 1?
10/729
Is -1/257205 bigger than 1?
False
Which is bigger: -5375 or -5365?
-5365
Which is greater: 21171/65 or 325?
21171/65
Is 2 != 459/205?
True
Which is smaller: 1 or 134085/13?
1
Is 139037 bigger than 695189/5?
False
Which is bigger: -0.9025 or 5?
5
Does -26847 = -41?
False
Which is smaller: -0.1 or 26915?
-0.1
Which is smaller: 45670 or -4/13?
-4/13
Is -2477728 greater than -2477728?
False
Are -11039 and 0.1 non-equal?
True
Is 485912 greater than 485908?
True
Is -15/2407 bigger than 1?
False
Is 23/1250 at least as big as -0.51?
True
Is 3559 at most 29?
False
Is 17 > 10407/613?
True
Which is greater: 2 or -49008?
2
Which is bigger: 0.1 or -69.68?
0.1
Which is smaller: -1020 or 1/6?
-1020
Which is bigger: 3/99806 or -0.1?
3/99806
Are -12174 and -12083 nonequal?
True
Which is bigger: 0.046 or 69.4?
69.4
Which is bigger: 0 or -1/14484846?
0
Which is greater: 73079/27 or 2708?
2708
Which is bigger: 312492 or 937475/3?
312492
Which is smaller: 1426 or 31391/22?
1426
Which is smaller: -90 or 29106?
-90
Is -8.8195 bigger than 3?
False
Does -18 = -1611?
False
Which is greater: 29/5992 or 0?
29/5992
Is -930 smaller than -1691?
False
Which is greater: 711 or 7836/11?
7836/11
Are 113347 and 113345 unequal?
True
Which is smaller: 392/479 or 0?
0
Is -4449657 >= -4449656?
False
Which is greater: 0 or -1/495506?
0
Which is greater: 1 or -473689?
1
Is -1 > 19169/64?
False
Are 5027 and 5022 equal?
False
Are -16910 and 0 nonequal?
True
Is -3/124985 >= -1?
True
Which is smaller: 163175 or -0.2?
-0.2
Is -67659 at least -270633/4?
False
Is 376 smaller than 56?
False
Which is smaller: -41 or 58766?
-41
Which is greater: 73727 or 0.2?
73727
Are 214.7 and -236 equal?
False
Which is smaller: -294522 or -294521?
-294522
Which is smaller: -18146 or 114?
-18146
Which is bigger: 0 or -1682/1853?
0
Which is bigger: 21673 or 0.018?
21673
Is 3/4 at most 14799?
True
Which is smaller: -4 or -427/102?
-427/102
Which is greater: -1/13312052 or 0?
0
Do -377 and 11/2 have different values?
True
Is -203545 greater than -203544?
False
Do 6903 and 6903 have the same value?
True
Does 0.028 = 3/2540?
False
Is 1319121 not equal to 1319121?
False
Is -1/162216 at least -0.3?
True
Which is smaller: 31485 or 10/7?
10/7
Is -138343 greater than or equal to -415030/3?
True
Is 1 smaller than 7/218?
False
Is 1 smaller than 411/176?
True
Which is smaller: 1 or 47/3507?
47/3507
Which is smaller: 9 or -5/752?
-5/752
Which is greater: -2 or 3.2021?
3.2021
Do -1 and 140/733 have different values?
True
Which is smaller: -86/1159 or 1?
-86/1159
Which is bigger: 46 or 2068?
2068
Which is smaller: -36188 or -289503/8?
-36188
Is 1 <= -5/497794?
False
Which is smaller: 0.16 or -1?
-1
Which is smaller: -2/9 or 303311?
-2/9
Which is smaller: -338 or -5470/7?
-5470/7
Is -5823 at least -5796?
False
Is -3/1629212 <= -1?
False
Which is smaller: -1/9 or -0.276002?
-0.276002
Is 15/4793 greater than or equal to 1?
False
Is 58371/5 > 11675?
False
Is -22/19103 smaller than -1?
False
Are 68076 and 1701906/25 unequal?
True
Is 26 at most as big as 1906/77?
False
Which is smaller: 1 or -56/4573?
-56/4573
Which is smaller: 43 or 1582/37?
1582/37
Which is greater: -8368 or -8370?
-8368
Which is bigger: -0.3 or 120/1141?
120/1141
Which is greater: 398 or 332?
398
Do 564175 and 2820881/5 have different values?
True
Is -33070 at least as big as -33071?
True
Is -0.1269309 bigger than 0?
False
Is 12176 at least 12141?
True
Is -11070 >= -11067?
False
Which is smaller: -5/69879 or -1?
-1
Which is smaller: 195.0895 or 0?
0
Is -42/59 <= -8.46?
False
Which is smaller: 1182 or 337?
337
Which is smaller: 1303 or 1253?
1253
Which is smaller: 1544/809 or 2?
1544/809
Which is smaller: -137475 or -137477?
-137477
Which is bigger: 3113/5 or 36?
3113/5
Which is smaller: -110 or 46?
-110
Are -3529 and -3540 equal?
False
Is 2 > 563/204?
False
Is 2/246391 at most 1?
True
Are 3/15713 and 1 equal?
False
Is -42213 greater than -42212?
False
Do -8 and -9799 have different values?
True
Which is bigger: 0 or 9/40880?
9/40880
Is -56419 equal to -56418?
False
Which is bigger: 0.23071 or -25?
0.23071
Which is smaller: 1208 or 1119?
1119
Is 1662224/5 greater than or equal to 332445?
False
Is 1 >= -4/116971?
True
Which is smaller: -2768/2083 or -2?
-2
Is -2628 greater than or equal to -2557?
False
Which is bigger: -0.1 or -24047?
-0.1
Are -46361 and -46363 equal?
False
Which is bigger: -1.04 or -36.742?
-1.04
Are -400079 and -400077 equal?
False
Is -262/1345 less than or equal to -1/5?
False
Which is smaller: 2/9 or 886?
2/9
Which is bigger: -1 or 1/103666?
1/103666
Which is bigger: 12403540 or 12403541?
12403541
Is 185/16771 at most as big as -1?
False
Is 1784 at least 1777?
True
Are -241 and -283 equal?
False
Which is smaller: 81 or 1.26?
1.26
Is -122127/25 less than -4886?
False
Which is smaller: 4/2349019 or -1?
-1
Is -4 at least as big as -1045/218?
True
Is -1 less than or equal to 1241028?
True
Is -2/99 smaller than -28234?
False
Which is smaller: -0.2 or 3696027?
-0.2
Are -5 and 16573 equal?
False
Which is bigger: -1/4 or -0.25488?
-1/4
Which is smaller: -1 or 2/9543795?
-1
Is -92554 < -92553?
True
Which is smaller: -0.06 or 12/7433?
-0.06
Are -363 and -299 equal?
False
Is 0 greater than or equal to 28/15913?
False
Is 2/1342531 > 0?
True
Is -338.184 at most 5?
True
Which is smaller: 384/2267 or 1?
384/2267
Is 194 equal to 124?
False
Which is smaller: -144064/7 or -20582?
-20582
Is 2/327081 < 0?
False
Which is bigger: -913 or -887?
-887
Is 1 less than -1.937?
False
Which is greater: -4220/21 or -200?
-200
Is 5350100 bigger than 5350100?
False
Does -1 = -1/394562?
False
Is 0 less than or equal to 33/9079?
True
Does -0.22 = 27343?
False
Do -2619.4 and 10 have the same value?
False
Is 69/6286 != 0?
True
Which is smaller: -4781 or 1/7?
-4781
Is -6547/17 at most -2/3?
True
Is -240411 smaller than -240413?
False
Which is bigger: 0.01 or -3145.1?
0.01
Is 273927 greater than or equal to 273927?
True
Is -137511/2 bigger than -68757?
True
Which is greater: -124/7487 or -1?
-124/7487
Is 1/2941097 at most -1?
False
Which is bigger: 5 or 859/197?
5
Which is greater: 1 or 53993?
53993
Which is bigger: 254118 or 254114?
254118
Is 0.23 at most as big as -62961?
False
Which is smaller: 18760 or 18762?
18760
Is -151779 less than -151774?
True
Is 233172 less than or equal to 233172?
True
Is -1/1588507 smaller than -1?
False
Which is smaller: -2/17547 or -1?
-1
Is -41/2860 > -1?
True
Which is smaller: -443 or -448?
-448
Is -4114 >= -4467?
True
Is 2095662 smaller than 2095662?
False
Which is bigger: 65 or 2032/31?
2032/31
Which is smaller: 1409 or -11?
-11
Is -552210/11 at most -50201?
False
Is -693 <= -3461/5?
True
Which is greater: -0.4 or 3/3596?
3/3596
Is 1 != -0.2820507?
True
Which is smaller: 612916 or 1838752/3?
612916
Which is smaller: -75 or 160?
-75
Which is bigger: -7 or 2.92942?
2.92942
Which is bigger: 2/5 or -442?
2/5
Which is smaller: -1/13404 or -1?
-1
Which is bigger: 564 or 9595/17?
9595/17
Which is smaller: 0 or 3/2474296?
0
Is -67613 less than -67616?
False
Are -23 and -12235 equal?
False
Which is smaller: 194111/4 or 48527?
48527
Is -192886 > -192885?
False
Which is smaller: -1440 or -1404?
-1440
Which is greater: 19242/73 or 264?
264
Is 279459 smaller than 279460?
True
Which is smaller: -244/71015 or 1?
-244/71015
Which is smaller: 3.3 or 2/293?
2/293
Is 114 > 7686/67?
False
Which is smaller: -7688 or -7678?
-7688
Do -56/1229 and 0 have the same value?
False
Is 21051 < 21054?
True
Is -110376/5 equal to -22076?
False
Is -1 smaller than 24/63673?
True
Which is bigger: 0 or 6/27761?
6/27761
Is 2438146 > 2438146?
False
Which is greater: 1 or -37/28433?
1
Which is bigger: 3/968 or -201?
3/968
Is 25249 <= 5.5?
False
Is -1 <= 390/5027?
True
Which is greater: 283955 or 283969?
283969
Is -4046/45 < -89?
True
Is -17/2 at most -344/105?
True
Is 3733 greater than or equal to 3698?
True
Which is smaller: -122648 or -122649?
-122649
Which is bigger: 36866 or 36888?
36888
Are 7.81 and 4.9 unequal?
True
Which is smaller: -86 or 2/1029?
-86
Which is bigger: 0 or -2/8
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the second derivative of 2*g**2 + 3*g - 592*g**3 - 13 - 2*g**2 + 842*g**3 wrt g?
1500*g
Find the second derivative of 44*j + 38*j**4 + 52*j**4 - 606*j**4 + 442*j wrt j.
-6192*j**2
Let b(s) = -325*s**2 - 55*s + 1810. Let i(v) = 12*v**2 + 2*v - 67. Let r(g) = -2*b(g) - 55*i(g). Find the first derivative of r(a) wrt a.
-20*a
Let t = -3910 + 16020. Find the second derivative of -t - 22*h - 31*h**3 + 12110 wrt h.
-186*h
Let k = -1 - -36. Let y be (2/7)/(5/k). What is the third derivative of 3*q**y + 0*q**2 - 2*q**2 + 5*q**6 wrt q?
600*q**3
Let x = -6 + -5. Let i = 14 + x. Differentiate -i*v**3 + 1 + 4 + 1 - 3 wrt v.
-9*v**2
Find the second derivative of -30*t**2 + 636*t + 20*t**2 + 54*t**2 - 2*t**5 - t**5 wrt t.
-60*t**3 + 88
Suppose 0 = -5*l + 15, 3*l = -2*o + 2*l + 9. Find the first derivative of 1 - 14 + o - 30*w**2 + 4 wrt w.
-60*w
Let w(a) be the second derivative of -23*a**5/10 + 13*a**3/2 - 87*a. Find the second derivative of w(u) wrt u.
-276*u
Suppose -4*y = -12, 0*o + 5*y = -5*o + 45. Let j(b) = -49*b - 30. Let w(g) = -48*g - 31. Let z(c) = o*w(c) - 5*j(c). What is the first derivative of z(l) wrt l?
-43
Let k(l) be the first derivative of l**9/1512 + l**5/40 - 6*l**3 - 15. Let t(c) be the third derivative of k(c). What is the second derivative of t(w) wrt w?
40*w**3
What is the derivative of 332 - 364*s - 133 - 73*s + 477 wrt s?
-437
Suppose 5*q = -3*c + 3 - 16, q = -2*c + 3. Find the third derivative of -2*h**4 + 374*h**6 - 373*h**6 + 17*h**2 + 2*h**c + 5*h**3 wrt h.
120*h**3 + 30
Suppose -h - 2*a + 104 = -7*a, 5*h - 436 = 4*a. Suppose -3*o = o - h. What is the second derivative of -10*i**3 - o + 21 + 5*i wrt i?
-60*i
Let b(r) be the third derivative of -67*r**8/336 + 7*r**4/24 - r**2 - 5. What is the second derivative of b(c) wrt c?
-1340*c**3
Let u(s) = -24*s - 170. Let k(h) = -h + 1. Let r(y) = 5*k(y) - u(y). What is the derivative of r(m) wrt m?
19
Let m(h) = -606*h**4 + 22*h**2 + 530*h - 11. Let c(k) = 121*k**4 - 4*k**2 - 106*k + 2. Let s(b) = 11*c(b) + 2*m(b). Find the second derivative of s(v) wrt v.
1428*v**2
Let b(s) be the first derivative of 7*s - 21/2*s**2 + 21. Differentiate b(u) wrt u.
-21
Suppose -90 = -4*s - 14. Find the third derivative of -6*z**2 - s + 2*z**6 + 0*z**6 + 19 wrt z.
240*z**3
Suppose -5*o - 5*g = -0*g - 25, g - 14 = -4*o. Find the third derivative of -30*c**2 - 9*c**3 + 76*c**2 + 3*c**o wrt c.
-36
Suppose 0 = -8*n + 3*n + 25. What is the derivative of -n*b - 14 + 9*b**2 - b + 6*b wrt b?
18*b
Let z(a) be the second derivative of -a**7/70 + a**4/2 + 7*a**3/2 + 9*a. Let m(t) be the second derivative of z(t). What is the derivative of m(g) wrt g?
-36*g**2
Let n(f) be the first derivative of -725*f**4/4 - 384*f - 195. Find the first derivative of n(k) wrt k.
-2175*k**2
Let c(z) be the second derivative of 26*z**7/21 + z**3/3 + 2*z**2 + 3*z + 11. What is the second derivative of c(a) wrt a?
1040*a**3
Let a(n) be the third derivative of -131*n**8/168 - 11*n**4/24 + 101*n**2. Find the second derivative of a(h) wrt h.
-5240*h**3
Find the second derivative of 24 - 6*n**2 - 331*n + 5*n**2 + 335*n + 295*n**2 wrt n.
588
Let s(r) = -503*r**3 + 9*r**2 + 30*r - 6. Let m(i) = 504*i**3 - 10*i**2 - 28*i + 7. Let w(k) = 6*m(k) + 7*s(k). Find the third derivative of w(x) wrt x.
-2982
Suppose -5*r = -11*r + 24. What is the third derivative of -4*s**4 + 16*s**2 + 24*s**r + 4*s**2 - 6*s**2 wrt s?
480*s
Let m(p) be the first derivative of 0*p**2 - 13/4*p**4 - 14/3*p**3 + 0*p - 14. Find the third derivative of m(w) wrt w.
-78
Let h(l) be the first derivative of l**7/120 - l**6/40 + 7*l**3/3 - 3. Let x(u) be the third derivative of h(u). What is the third derivative of x(v) wrt v?
42
What is the first derivative of -24*m + 55*m - 154 + 26*m wrt m?
57
Find the third derivative of -29*z**3 + 641 - 317 - 324 - 45*z**2 wrt z.
-174
Let x = -16 - -20. Let s be 0/7 + 3 + -1. What is the second derivative of -8*o**2 + s*o - o - x*o - 2*o wrt o?
-16
Let z(r) be the first derivative of -11*r**6/6 + 4*r**5/5 - r**3/3 + 11*r**2/2 + 300. Find the third derivative of z(t) wrt t.
-660*t**2 + 96*t
Let n(b) = 4415*b**2 - 225*b + 155. Let v(x) = -491*x**2 + 25*x - 17. Let w(u) = -6*n(u) - 55*v(u). What is the second derivative of w(c) wrt c?
1030
Let p(x) be the second derivative of -x**4/12 + 31*x**3/3 + 33*x**2 - x - 224. Find the first derivative of p(u) wrt u.
-2*u + 62
Let r = -310 - -310. Let b(d) be the first derivative of 5/3*d**3 + 0*d + 13/4*d**4 + r*d**2 + 8. Find the third derivative of b(k) wrt k.
78
Suppose 3 = -3*b + 12. What is the first derivative of -b + 19*w**3 - 6*w**3 + 1 wrt w?
39*w**2
Suppose -2*v = -0 + 4. Let s = 0 - v. Find the second derivative of 3*z - 4*z**s - 34 + 34 wrt z.
-8
What is the third derivative of 2*b**2 - 177 - 97*b**6 - 199 + 15*b**6 + 12*b**6 wrt b?
-8400*b**3
Find the second derivative of 63*z**2 + 19*z - 64*z + 23*z wrt z.
126
Suppose 5*v - 4*v = 15. Find the third derivative of 15 + 4*j - v + 2*j**2 - 29*j**6 - 28*j**6 wrt j.
-6840*j**3
Let o(c) be the third derivative of -1/30*c**5 - 10*c**2 + 0*c**6 + 0*c + 0*c**7 + 1/24*c**8 + 0*c**3 + 0*c**4 + 0. What is the third derivative of o(z) wrt z?
840*z**2
Let x(w) = 3*w**2 - 42*w + 205. Let z(i) = -16*i**2 + 212*i - 1026. Let k(s) = 11*x(s) + 2*z(s). Differentiate k(a) wrt a.
2*a - 38
Let p(u) = 3*u**3 - 496*u**2 + 22*u - 8. Let c(l) = l**3 - 165*l**2 + 7*l - 3. Let g(a) = -8*c(a) + 3*p(a). What is the second derivative of g(q) wrt q?
6*q - 336
Let k(g) be the third derivative of 31*g**5/30 + g**4/24 - 142*g**3/3 + 100*g**2. Differentiate k(f) with respect to f.
124*f + 1
Suppose -9*n = 3*n - 24. Differentiate 64*p**n - 42*p**2 + 4 - 4 + 28 with respect to p.
44*p
Let n = 9 - 9. Suppose -m + 4 + 9 = 4*v, n = -v + 4*m - 1. What is the second derivative of d - 3*d**3 + d + 10*d**v wrt d?
42*d
Let u(g) be the first derivative of 73*g**4/4 - 2*g**3/3 + 51*g + 64. What is the first derivative of u(q) wrt q?
219*q**2 - 4*q
Let b(i) = -29*i**5 - 5*i**4 - 10*i**3 - 791*i**2 - 10. Let g(x) = x**4 - 2*x**2 + 2. Let d(j) = -b(j) - 5*g(j). What is the third derivative of d(p) wrt p?
1740*p**2 + 60
Let o(k) be the first derivative of -19*k**4/12 - 41*k**3/6 - 13*k**2 + 32. Let g(x) be the second derivative of o(x). Differentiate g(s) wrt s.
-38
Let c be ((-6)/(-10))/(4/60). Suppose -2*b + c = b. Differentiate 8*d + 13*d + b - 2 - 17*d with respect to d.
4
Let a(p) = 10*p + 3. Let u be 6/15 - (-84)/15. Let d(h) = u + 2 - 6 + 0 + 5*h. Let o(l) = 3*a(l) - 5*d(l). What is the first derivative of o(g) wrt g?
5
Suppose 20 = 7*t - 2*t. Let r be t/(-5)*110/(-11). Find the third derivative of -r*s**2 + 66*s - 66*s + 14*s**4 wrt s.
336*s
Suppose 2*f - 13 = -d + 45, -3*f - 2*d + 85 = 0. Let r = f + -20. What is the second derivative of 11*x + 10*x**2 - r*x + 10*x wrt x?
20
Let a(o) be the first derivative of 5*o**8/336 - 7*o**4/8 - o**2/2 - 15. Let s(m) be the second derivative of a(m). What is the second derivative of s(d) wrt d?
100*d**3
Suppose 3*f - r - 62 = 15, -3*r = 4*f - 120. Differentiate -8 + f*n**3 + 23 - 36 wrt n.
81*n**2
Find the first derivative of -3*y - 12*y - 150*y**2 - 8*y - 6*y + 32*y - 408 wrt y.
-300*y + 3
Let s be 0 - 1 - (-15)/(-5). Let h be s/(-6)*33/11. What is the third derivative of -8 - z**h + 8 - 5*z**3 + 0*z**2 wrt z?
-30
Let u(d) be the first derivative of -d**5/5 + 183*d**4 + 1023*d**2/2 - 584. Find the second derivative of u(x) wrt x.
-12*x**2 + 4392*x
Suppose 4*k = -k. Find the first derivative of k + 68*p**2 - 78*p**2 - 3 - 4 wrt p.
-20*p
Let x be ((-9)/(-12))/(2/8). Let s be (-7)/(-5) + 21/35. Find the third derivative of -6*g**2 + x*g**3 + s*g**3 - g**3 wrt g.
24
Let u(x) be the second derivative of x**6/15 + 37*x**4/4 - 89*x**3/3 - 51*x. Find the second derivative of u(l) wrt l.
24*l**2 + 222
Let p(l) be the third derivative of -l**7/210 + l**4/8 + 64*l**3/3 + 147*l**2. Find the first derivative of p(i) wrt i.
-4*i**3 + 3
What is the second derivative of k**2 + 5*k + 2*k**4 + 15 + 45*k**4 + 0*k**4 + 7 - 5 wrt k?
564*k**2 + 2
Let p(r) be the second derivative of -4*r + 7/6*r**3 + 0 + 9/2*r**2. What is the first derivative of p(x) wrt x?
7
Suppose 0*j - 2*j = -50. Let l = j - 15. What is the second derivative of 3*h - 5*h**4 + l*h**
|
{
"pile_set_name": "DM Mathematics"
}
|
-6.3?
2/111
What is the second biggest value in 22/9, 2, -3/2, 3/41?
2
Which is the second biggest value? (a) -1.3 (b) 2/3 (c) 3 (d) 4 (e) 2/157
c
Which is the third biggest value? (a) 5/2 (b) 4 (c) -1.8 (d) 27 (e) 1
a
Which is the smallest value? (a) -0.0719 (b) -2 (c) 782
b
Which is the biggest value? (a) -3 (b) -2/15 (c) 3/4 (d) 3 (e) 0 (f) -1/1368
d
Which is the fourth biggest value? (a) -6/5 (b) 0.73 (c) 4/15 (d) -2/9
a
Which is the third biggest value? (a) 3/2 (b) -2/61 (c) 4 (d) 31 (e) 0
a
What is the third smallest value in -3, 5, -17, 3/347, 4?
3/347
Which is the third biggest value? (a) -2/31 (b) 1/4 (c) -4/19 (d) 5
a
What is the biggest value in 0.5, 38.71, 5, -1, -4, 1?
38.71
What is the smallest value in -0.389, -1, 14.6?
-1
Which is the third smallest value? (a) -1 (b) -9964/5 (c) 0.5 (d) 3/5 (e) 15
c
Which is the fourth smallest value? (a) -7 (b) 1 (c) -0.5 (d) -94 (e) 0.5
e
Which is the third biggest value? (a) -11/2 (b) -4 (c) -602
c
Which is the smallest value? (a) 2/35 (b) 1261 (c) -3 (d) 0.8
c
What is the fourth smallest value in 2/3, 3, -1, 4, -1/17?
3
Which is the second biggest value? (a) -0.1 (b) 1 (c) -2 (d) -5.2161
a
Which is the third smallest value? (a) 0.4 (b) -0.4 (c) -7956 (d) 7 (e) -2/3
b
What is the second biggest value in -2, 0, -4, 251?
0
What is the second smallest value in -4, -4/15, 1.42, 7/6, 0.2?
-4/15
Which is the third smallest value? (a) -2 (b) -4 (c) -906
a
Which is the biggest value? (a) 4/11 (b) -2 (c) 2/7 (d) 3520
d
What is the second smallest value in -3, 0.7, 1/6, 0.5, 4, 17?
1/6
What is the third smallest value in -3, -3/107, 0.0506, -0.3, 2/15, 0.2?
-3/107
Which is the second smallest value? (a) -0.3 (b) 1/193 (c) -1/5 (d) 0.1 (e) -395
a
Which is the fourth smallest value? (a) -3/5 (b) 0.4 (c) 4 (d) -2/3 (e) -12/7 (f) 235
b
What is the fourth smallest value in 1/30, -11, -1, 4/9?
4/9
Which is the smallest value? (a) 57 (b) 2.38 (c) 4
b
Which is the fifth biggest value? (a) -4 (b) -1/4 (c) 0.1 (d) -1.2 (e) 0.3808
a
Which is the second biggest value? (a) 1775 (b) 9/5 (c) 0
b
What is the fourth biggest value in -2/23, 23.26, -1/4, 1/2, 4, -1/5?
-2/23
What is the smallest value in 0.4, -129, 2, 0.04, 4?
-129
Which is the second biggest value? (a) 0.5 (b) 209 (c) -20 (d) 0.1
a
Which is the biggest value? (a) -0.5 (b) 1/13 (c) -0.4 (d) -1/5 (e) 1/5 (f) -1/10
e
Which is the fifth biggest value? (a) 1/4 (b) 28 (c) 0.1 (d) 3/5 (e) -1/5
e
What is the third biggest value in 818, 0.05, -1, 3/10?
0.05
Which is the smallest value? (a) -2/2847 (b) -0.7 (c) 2/5 (d) -5
d
Which is the second biggest value? (a) 0.3 (b) -0.1 (c) -0.3 (d) 2/3 (e) 96/13 (f) 1
f
Which is the fifth smallest value? (a) -19 (b) 21 (c) -0.3 (d) -0.2 (e) -8
b
What is the second smallest value in 1, -2/17, 4/9, -80?
-2/17
What is the third smallest value in 1, -27, 0.13, 4, -4, -38?
-4
Which is the third smallest value? (a) 2/7 (b) -1/7 (c) 5/6 (d) -35 (e) -5 (f) 1
b
What is the second biggest value in 4, 5/399, 5?
4
What is the second smallest value in -1/7, 2117, -3, 0.1?
-1/7
Which is the third smallest value? (a) 9 (b) 1/2305 (c) -1/10 (d) -11 (e) 0
e
Which is the smallest value? (a) 1.402506 (b) 0.2 (c) 1
b
Which is the biggest value? (a) 0.1 (b) 1 (c) 25/3
c
Which is the biggest value? (a) 2/39 (b) 0.4 (c) -11 (d) -0.2 (e) -0.18
b
Which is the second biggest value? (a) 121 (b) -3/4 (c) -32
b
Which is the smallest value? (a) 163 (b) 0 (c) 1
b
What is the second smallest value in 0.8, -2/81, -8, 9?
-2/81
Which is the second smallest value? (a) 21 (b) -1/2 (c) 262 (d) -0.2
d
Which is the second biggest value? (a) 2 (b) 9 (c) 316
b
Which is the second biggest value? (a) 2/7 (b) -19 (c) -828
b
Which is the second smallest value? (a) -0.0591 (b) -3.5 (c) -0.05
a
Which is the fourth smallest value? (a) -20/7 (b) 29 (c) -1/3 (d) 0 (e) 0.5
e
Which is the second smallest value? (a) 22/5 (b) 2/17 (c) 2/7 (d) -4 (e) -0.4 (f) -3/8
e
What is the second smallest value in 1/3, -0.1, 2/77, -0.5, 0.04?
-0.1
Which is the third smallest value? (a) 1/15 (b) 4/7 (c) 0.01 (d) -4
a
What is the smallest value in -259, 28/9, 0.1, 2/7?
-259
What is the fourth biggest value in -1/2, -2/11, -4, -0.21, 2/5?
-1/2
Which is the fourth biggest value? (a) 3 (b) -6 (c) -0.0504 (d) -5 (e) 4 (f) 5
c
Which is the second biggest value? (a) -6 (b) -10 (c) -1 (d) 0 (e) 98 (f) 0.5
f
Which is the third smallest value? (a) -0.2 (b) 0.1 (c) -3 (d) -1/2 (e) 0.4
a
Which is the smallest value? (a) -0.8 (b) -0.98 (c) -6 (d) -0.2
c
What is the biggest value in 1, 420, 50/9?
420
Which is the second biggest value? (a) -46.8 (b) 1 (c) 0.1 (d) 2/15 (e) -1/2 (f) 0.5
f
What is the biggest value in 0.0783, 975, -0.1?
975
Which is the biggest value? (a) -4 (b) 0.3 (c) 3 (d) 4/5 (e) 158
e
Which is the fifth biggest value? (a) 9/2 (b) -2/11 (c) 1/3 (d) -2 (e) -3/4 (f) -5
d
What is the smallest value in 0, 8, -128.368?
-128.368
Which is the third biggest value? (a) 25/4 (b) -0.5 (c) 848
b
What is the smallest value in -0.2, -0.03, 0.5, -672, 1?
-672
What is the fourth biggest value in -1, 0.1, 0.5, -0.04, -12?
-1
What is the sixth smallest value in 0.067, 4, 0, -4, 4/7, -158?
4
What is the second biggest value in -1/319, 0.2, -26/9, -3, 1/6?
1/6
Which is the smallest value? (a) 1/4 (b) -1 (c) 0 (d) 2 (e) 6
b
Which is the smallest value? (a) 3/2 (b) -3/2 (c) 5.56
b
Which is the second biggest value? (a) 1/5 (b) 2 (c) -0.63 (d) 0.5 (e) -3/13
d
What is the second smallest value in -16, 0.196, 16, -2?
-2
Which is the second biggest value? (a) 0.1 (b) 3 (c) -27 (d) 2 (e) 118 (f) -25
b
What is the biggest value in 0.18, 1, -1.4?
1
What is the fifth biggest value in 1/5, -0.4, 2, -48.52, 0?
-48.52
What is the sixth biggest value in 1/2, -15/11, 0, 4, -1, -0.1?
-15/11
Which is the fourth biggest value? (a) 6 (b) 0.2 (c) 295.7 (d) -4/5 (e) -0.4
e
What is the sixth smallest value in 5, 0.2, 0, 2, -3, -57212?
5
What is the second smallest value in 7, 34/1327, -0.5?
34/1327
What is the smallest value in -9/4, -5, -0.1, 1/3?
-5
Which is the fifth biggest value? (a) -0.06 (b) 25 (c) 1/2 (d) 284 (e) 4
a
What is the second smallest value in 4, -40, -0.5, -111, 1/2?
-40
Which is the fifth smallest value? (a) 1/6 (b) -1 (c) -3 (d) 7/64 (e) -0.3 (f) -4
d
Which is the third smallest value? (a) 98 (b) 9 (c) 1 (d) -7
b
What is the second smallest value in 5, 0.07558, -1/3, 3/2, 4, 2?
0.07558
Which is the smallest value? (a) 2/13 (b) -10 (c) 0.5 (d) -227
d
Which is the smallest value? (a) 2.3 (b) -1/6 (c) 1/814 (d) -2
d
What is the fourth biggest value in -2, -132.3, 1, 4/7?
-132.3
Which is the third smallest value? (a) -1 (b) 5 (c) -0.8 (d) -4 (e) -0.4
c
What is the third smallest value in -35, 5, 11?
11
Which is the biggest value? (a) 2/7 (b) -20 (c) 0.181
a
What is the third smallest value in 818, -2, 3, 1/340?
3
What is the smallest value in 2, 3, 4, -0.08, 1/143, 0.2?
-0.08
What is the third biggest value in -63, 3, -4/11, -5?
-5
Which is the smallest value? (a) -164/5 (b) 0.48 (c) 0.04
a
Which is the fifth biggest value? (a) 0.3 (b) -7 (c) 1/10 (d) 3/5 (e) 1
b
Which is the third smallest value? (a) -3 (b) 4/35 (c) 2 (d) -1 (e) 3.2 (f) -0.1
f
What is the third biggest value in 0.4, -0.8, -5, -3/7, 0, -25.1?
-3/7
What is the third smallest value in 1/9, 0.4, 2657, -36/11?
0.4
What is the fifth biggest value in 2, 25, 1/8, -4, -1/8?
-4
Which is the third smallest value? (a) -1 (b) -3/4 (c) 3/43 (d) -0.1 (e) 1/3
d
What is the sixth smallest value in -2, 1/5, 0.1, -1/2, 2/25, -1?
1/5
Which is the biggest value? (a) -3135 (b) -0.3 (c) -3/7 (d) 1
d
Which is the third smallest value? (a) 107 (b) 2/17 (c) -13/3
a
Which is the third smallest value? (a) -6275 (b) -5/4 (c) 3/2 (d) 1/2
d
Which is the fourth smallest value? (a) 3.9 (b) 1.4 (c) 1/6 (d) -3
a
What is the fourth smallest value in -3, -173.9, -4/3, 14, 5?
5
What is the second smallest value in 0.4, -2182, -3, -1/5?
-3
Which is the second biggest value? (a) 0
|
{
"pile_set_name": "DM Mathematics"
}
|
lect the terms in -3*h + 4*h + 0*h - 125.
h - 125
Collect the terms in -5*i + 8*i + 15*i.
18*i
Collect the terms in 19*v**3 + 17*v**3 - 3 - 35*v**3.
v**3 - 3
Collect the terms in -16*x**3 - 19*x**3 - 10*x**2 + 10*x**2.
-35*x**3
Collect the terms in 14*k**2 + 10*k**2 - 11*k**2.
13*k**2
Collect the terms in -11*j**3 + 2*j**3 + 10*j**3.
j**3
Collect the terms in -10*u + 22*u - 2*u**2 - 14*u.
-2*u**2 - 2*u
Collect the terms in -2*d + 52 - 3*d + 7*d.
2*d + 52
Collect the terms in 2*v**2 - 3*v**2 - 29 + 29.
-v**2
Collect the terms in -40509 + 36*y**2 + 40509.
36*y**2
Collect the terms in -3*h**2 + 3*h**2 - 22*h**3 - h**3.
-23*h**3
Collect the terms in 71*h**2 - 139*h**2 + 74*h**2.
6*h**2
Collect the terms in 127*t**2 + 2 - 15*t + 15*t.
127*t**2 + 2
Collect the terms in v**3 + 12*v**3 - 3*v**3.
10*v**3
Collect the terms in -11*s**2 + 330 - 330.
-11*s**2
Collect the terms in -5*x**3 - 2*x**3 - x**2 - 2*x**2.
-7*x**3 - 3*x**2
Collect the terms in 11*z + 6*z - 4*z.
13*z
Collect the terms in -4*w**3 + 7*w**3 + 3 + 7*w**3 + 5*w**3.
15*w**3 + 3
Collect the terms in -89*z + 1 - 3 - 4 + 4.
-89*z - 2
Collect the terms in 6*k**3 + 13*k**3 - 8*k**3.
11*k**3
Collect the terms in 13*a**3 - 2*a - 23*a**3 + 0*a + 22*a**3.
12*a**3 - 2*a
Collect the terms in -2*t + 2*t - 2*t - 4*t.
-6*t
Collect the terms in -3*c + 123 + 11*c - 123.
8*c
Collect the terms in -17*l - 22*l - 22*l + 65*l.
4*l
Collect the terms in 70 + 433*t**3 - 70.
433*t**3
Collect the terms in 11*j + 2*j**3 + j**3 - 11*j.
3*j**3
Collect the terms in -9*g - 71*g + 17*g.
-63*g
Collect the terms in -28*v**3 - 42*v**3 + 74*v**3.
4*v**3
Collect the terms in 0 + 1 - 125*y - 1.
-125*y
Collect the terms in -22*k**3 + 4 - 4 - 2*k.
-22*k**3 - 2*k
Collect the terms in 4*o + 2*o + 3*o - 5*o.
4*o
Collect the terms in 3*t - 3*t - 86*t**2 + 83*t**2.
-3*t**2
Collect the terms in p - 2*p + 0*p + 10*p.
9*p
Collect the terms in 2*a - 9*a**2 - 2 + 0*a**2 - 2*a.
-9*a**2 - 2
Collect the terms in 32 - 57*u**2 - 17 - 15.
-57*u**2
Collect the terms in -721*p + 721*p - 8*p**3.
-8*p**3
Collect the terms in 25*n**3 - 862*n**2 - 864*n**2 + 1726*n**2 - 1.
25*n**3 - 1
Collect the terms in -3*r**2 + 1079 + 1056 - 2135.
-3*r**2
Collect the terms in -13*h**2 + 4 - 3 - 31*h**2 - 11*h**2.
-55*h**2 + 1
Collect the terms in -623*r**3 + 5 + 617*r**3 - 5.
-6*r**3
Collect the terms in -5*b + 31*b**2 + 5*b + 109*b**2.
140*b**2
Collect the terms in -27*y - 21*y + 57*y.
9*y
Collect the terms in 364*q + q**3 - 364*q.
q**3
Collect the terms in 54 + 3453*f**3 - 54 - 3451*f**3.
2*f**3
Collect the terms in 3601*z - 1800*z - 1799*z.
2*z
Collect the terms in t**3 + 7*t**3 + 26*t**3.
34*t**3
Collect the terms in d**2 - 4*d**2 + 0*d**2.
-3*d**2
Collect the terms in -36*k + 13*k + 2 + 23*k + 111*k**3.
111*k**3 + 2
Collect the terms in 8*l**2 - 144 - 8*l**2 + 3*l**3.
3*l**3 - 144
Collect the terms in -8*o + 6*o + 25*o.
23*o
Collect the terms in -5*d**2 + 7*d**2 + 2*d**3 - 2*d**2.
2*d**3
Collect the terms in 27*x - 1 + 1 - 29*x.
-2*x
Collect the terms in 11*r**3 - 9 + 5*r + 2*r - 7*r.
11*r**3 - 9
Collect the terms in -x + 13*x + 135 - 134.
12*x + 1
Collect the terms in -b**3 - 7*b**3 + 0*b**3 + 7*b**3.
-b**3
Collect the terms in -3*z**3 - z**3 - 2*z**3 + z**3.
-5*z**3
Collect the terms in -97*x**3 + 195*x**3 - 100*x**3.
-2*x**3
Collect the terms in -6*q**3 + 0*q + 13*q**3 - 3*q**3 - 7*q + 3*q.
4*q**3 - 4*q
Collect the terms in 56*c + 3 + 2 + 15*c + 0.
71*c + 5
Collect the terms in -5*z + 2*z + 11*z + 30 + 21.
8*z + 51
Collect the terms in -418*h**2 + 213*h**2 + 204*h**2.
-h**2
Collect the terms in -79 + 0*p + 81 + 17*p.
17*p + 2
Collect the terms in -8*l + 8 + 9 - 17.
-8*l
Collect the terms in 13*c**2 - 50*c**2 - 2*c**3 + 37*c**2.
-2*c**3
Collect the terms in -5172 + 4*q**2 + 5172.
4*q**2
Collect the terms in -21*m**3 + 5*m**3 + 13*m**3 + 5*m**3.
2*m**3
Collect the terms in -2724*w + 904*w - 5*w**2 + 907*w + 913*w.
-5*w**2
Collect the terms in -3803*y + 3803*y + y**2 - 9.
y**2 - 9
Collect the terms in -24*w**3 - 4*w**3 + 25*w**3.
-3*w**3
Collect the terms in -8*n**2 + 14*n**2 - 26*n**2 - 23*n**2.
-43*n**2
Collect the terms in 2*o**3 - 23*o**3 - 301 + 302.
-21*o**3 + 1
Collect the terms in -9*i - 89 + 89.
-9*i
Collect the terms in 386*x**2 + 100*x**2 - 13*x**2.
473*x**2
Collect the terms in -221*k + 15*k**2 + 221*k.
15*k**2
Collect the terms in 4*p**3 + 10*p**3 - 2*p**3.
12*p**3
Collect the terms in -32*l + 2*l - l**2 + 30*l - 3*l**2.
-4*l**2
Collect the terms in n - 8 - 99 - 1.
n - 108
Collect the terms in w**2 + 7*w**2 + 0*w**2 - 14*w**2.
-6*w**2
Collect the terms in -7 + 3 - 9*y + 1.
-9*y - 3
Collect the terms in -8 - 5*u**3 + 7*u**3 + 8.
2*u**3
Collect the terms in -3 - 8 + 11 + 54*s**2.
54*s**2
Collect the terms in 349*z**2 - 665*z**2 + 314*z**2.
-2*z**2
Collect the terms in -4*p**2 + 15051 - 15051 - 3*p**2.
-7*p**2
Collect the terms in -9*c + 28*c + 10*c - 2*c.
27*c
Collect the terms in -4734*r**2 + 4736*r**2 - 12*r + 12*r.
2*r**2
Collect the terms in 4*h - 2*h**2 - 4*h**2 - 4*h.
-6*h**2
Collect the terms in 13*f**3 + 0*f**3 - 11*f**3 + 10*f**3.
12*f**3
Collect the terms in -37*r**3 + 21*r**3 + 8*r**3.
-8*r**3
Collect the terms in -19*i**2 - 16*i**2 + 19*i**2 + 14*i**2.
-2*i**2
Collect the terms in 4*c**3 + 26*c**2 - 4*c**2 - 22*c**2 + 5*c.
4*c**3 + 5*c
Collect the terms in -24 - 38*t + 3 + 21.
-38*t
Collect the terms in -177581 + 177581 - 6*t.
-6*t
Collect the terms in -165 + 99*a + 165.
99*a
Collect the terms in -9 + 14 + d**2 - 5 - 75*d.
d**2 - 75*d
Collect the terms in 651*o**3 - 2 - 1 + 3.
651*o**3
Collect the terms in 45*v**3 + 14*v**3 + 29*v**3.
88*v**3
Collect the terms in -v**2 - 214*v**3 + v**2.
-214*v**3
Collect the terms in -14*r + 29*r - 17*r.
-2*r
Collect the terms in -112*a + 231*a - 115*a.
4*a
Collect the terms in 5*m - m + 8*m.
12*m
Collect the terms in 15*g**2 + 5343*g - 5343*g.
15*g**2
Collect the terms in 5*w**3 - w**3 - 3*w**3.
w**3
Collect the terms in 2 - 11 - 153*h - 3.
-153*h - 12
Collect the terms in -29*j + 72 - 72.
-29*j
Collect the terms in 3 + 4 + 5*m - m.
4*m + 7
Collect the terms in 169 - 169 + 3*k.
3*k
Collect the terms in -40*h**3 - 6*h**3 + 13*h**3.
-33*h**3
Collect the terms in -49*n - 53*n - 51*n + 155*n.
2*n
Collect the terms in 68*h**2 - 2*h**3 + 7*h**3 - 3*h**3 - 102*h**2.
2*h**3 - 34*h**2
Collect the terms in -243 + 243 + 141*u**3.
141*u**3
Collect the terms in -34*d - 37*d + 72*d.
d
Collect the terms in -o**3 - 2*o**3 - 6*o - 2*o + 4*o**3.
o**3 - 8*o
Collect the terms in 518*t**3 + 573*t**3 + 176*t**3.
1267*t**3
Collect the terms in -826*b + 264*b + 564*b.
2*b
Collect the terms in 155*u**2 - 155*u**2 + 2*u**3.
2*u**3
Collect the terms in -207*s - 206*s + 397*s.
-16*s
Collect the terms in -1 + 2 - 24*o - 1.
-24*o
Collect the terms in 54*f**2 - 13*f**2 - 6*f**2.
35*f**2
Collect the terms in -2701 - 8*q**3 + 2701.
-8*q**3
Collect the terms in -11 + 11 + 86*f**2.
86*f**2
Collect the terms in -9*x - 3 + 7*x**2 + 9*x.
7*x**2 - 3
Collect the terms in -2*d**3 + 0*d**3 + 3*d**3 + 6*d**3.
7*d**3
Collect the terms in -c**2 - 2*c - c**2 + 0*c - 7*c.
-2*c**2 - 9*c
Collect the terms in -25*w - 18*w + 58*w.
15*w
Collect the terms in -13885*v + v**3 + 13885*v.
v**3
Collect the terms in -360*p**2 - 248*p**2 - 80*p**2 + 65*p**2.
-623*p**2
Collect the terms in -2*c**3 + 2*c**3 + 2*c**3 + 3*c**3.
5*c**3
Collect the terms in 28*c + 375*c - 65*c.
338*c
Collect the terms in 17 + 2 - 12 - 7 - 6*x**3.
-6*x**3
Collect the terms in -3*f**2 + 3*f**2 - 2*f**2 + 4*f**2.
2*f**2
Collect the terms in 11*s**3 + 6*s**2 - 7*s**2 + s**2.
11*s**3
Collect the terms in -l**3 - 50*l**2 + 50*l**2 - 2.
-l**3 - 2
Collect the terms in 6*j**3 + 348*j**2 - 348*j**2.
6*j**3
Collect the terms in -3 + 6*x**3 + 25*x**3 + 3.
31*x**3
Collect the terms in -613*n**3 - 1047*n**3 + 1663*n**3.
3*n**3
Collect the terms in -q + 2*q + 12 + 0*q + 0*q.
q + 12
Collect the terms in -33*a + 16*a - 27*a - 7*a.
-51*a
Collect the terms in -188 + 23*v + 188.
23*v
Collect the terms in 17 - 17 - 5*s**2.
-5*s**2
Collect the terms in 13*t - t**3 - 13*t.
-t**3
Collect the terms in 136*y**2 + 118*y**2 - 253*y**2.
y**2
Collect the terms in -2*s**2 + 337668 - 337668.
-2*s**2
Collect the terms in -5*z**3 + 12*z**3 - 15*z**3.
-8*z**3
Collect the terms in -13869 + 33*t + 13869.
33*t
Col
|
{
"pile_set_name": "DM Mathematics"
}
|
- 13 - 6*i)*(0*i + 3*i - 2*i) - 18*i + 18*i - 3*i**2 as g + p*i**2 + d*i and give d.
18
Rearrange -2651*o**3 - 1303*o + 0*o**2 + 2*o**2 + 2*o**4 + 1327*o**3 + 1324*o**3 + 2 to l + h*o**2 + v*o**4 + p*o + f*o**3 and give v.
2
Express 2083 - 6*m**2 - 1034 + m - 1024 in the form r + n*m**2 + l*m and give n.
-6
Rearrange 10*h**2 + 35678*h**3 - 20*h - 7*h**2 - 35718*h**3 to the form y + i*h + z*h**2 + v*h**3 and give i.
-20
Express 2491*x**3 + 26*x + 69*x - 96*x as t*x**2 + j + b*x**3 + o*x and give o.
-1
Rearrange -5*w**3 + 4*w**4 + 5*w**3 + (3*w**3 - 4*w**3 + 3*w**3)*(-1285*w - 1503*w + 566*w) to m*w**3 + y*w + t + f*w**4 + l*w**2 and give f.
-4440
Rearrange 0 + 20*y**3 + 3 + 36*y**2 + 4 - 19*y**2 - y**2 to o*y**3 + r + p*y + g*y**2 and give g.
16
Rearrange 1093*r**2 + 689*r**2 + 296*r**3 - 1 - 297*r**3 to the form y*r + c*r**2 + d*r**3 + u and give d.
-1
Express ((-2 - 2 + 9)*(2*u - 4*u + 3*u) + 3*u - 12*u - 16*u)*(-4*u + 4*u + u**3) in the form q*u + c*u**2 + m*u**3 + s + w*u**4 and give w.
-20
Express -3105*z**2 + 2*z**3 - 3107*z**2 + 2367*z + 6212*z**2 as u*z + j*z**2 + r*z**3 + p and give r.
2
Rearrange 5 - 3 - 10*l**4 + 80*l**2 + 2*l**4 - 3 + 4 to c*l**3 + b*l + s + n*l**2 + j*l**4 and give n.
80
Express 50*n**3 - 90*n**3 - 287*n**2 + 3 + 42*n**3 as r*n**3 + i*n + x + u*n**2 and give r.
2
Rearrange 4125 - 4125 - 7*t - 232*t**2 to x*t + n + m*t**2 and give x.
-7
Rearrange (-16 + 5807 + 7614)*(12*v + 2 - 5 + 1) to the form a + r*v and give a.
-26810
Express -1489*y**4 - 19*y - 1 + 1488*y**4 - 4*y**2 + y**2 as f*y**3 + l + r*y + a*y**2 + o*y**4 and give a.
-3
Express -2*h**3 - 51*h**4 - h - 2*h**2 - 2*h**2 + 16*h**4 + 2*h**2 + 0*h - 1 in the form j*h**4 + u*h**2 + i*h + p + f*h**3 and give u.
-2
Rearrange ((-1 - 3 + 2)*(-3 - 1 + 2) + 3 - 10 + 1)*(6*x**4 - 8*x**4 - 2*x**4) to the form q*x + r + b*x**2 + w*x**4 + u*x**3 and give w.
8
Rearrange (5 - 2 + 1)*(-139*m**3 - 14*m + 160*m**3 - m**2 - 8*m**3) to u + h*m**3 + j*m**2 + k*m and give k.
-56
Rearrange (-144*l + 292*l - 31 - 150*l)*(-217 - 4*l + 111 + 108) to v*l**2 + i + j*l and give v.
8
Rearrange 7*s + 542 - 2*s - 16*s + 10*s to the form i + v*s and give v.
-1
Rearrange (-4*l - l + 0*l)*(6 - 16 - 15)*(-6 - 8 + 4)*(4*l + 2*l - 4*l) - l**2 + 3*l**2 - l**2 to v*l**2 + f + k*l and give v.
-2499
Express -563*z**2 + 2*z + 500*z**2 - 11*z - 94*z in the form c*z**2 + f + r*z and give r.
-103
Express -1073*i - 632*i + 203*i as f*i + s and give f.
-1502
Rearrange -2236*a + 6*a**3 + 2004*a - a**3 + 5*a**2 - 3*a**3 to x*a + s*a**2 + z*a**3 + v and give x.
-232
Rearrange 46*y**2 + y**3 + 9 - 46*y**2 + (-2*y**2 + y**2 - y**2)*(-14 + 8*y + 6 + 5) + y**3 + 0*y**3 + y**3 to x*y + i + u*y**2 + d*y**3 and give i.
9
Express (25729*w + 7042*w - 1889*w - 12875*w + 28120*w)*(2*w**2 + 1 - 1) as u*w + l*w**2 + o*w**3 + g and give o.
92254
Rearrange 6*t**3 + 277 + 303*t**2 - 495*t**2 + t**3 - 279 to z*t**2 + c + h*t + v*t**3 and give z.
-192
Express 2 + 3*y - 2 + (-4*y + 10 - 10)*(1 + 1 + 2) + 0*y - y - y - 47 + 88 - 50 + 2*y in the form h + t*y and give t.
-13
Rearrange -9*p - 169*p**2 + 5442*p**2 - 599*p**2 + 9*p to b*p**2 + m*p + i and give b.
4674
Express 15*w + 25*w - 47*w - 3 + 848*w**2 + 7*w in the form f*w**2 + t + c*w and give t.
-3
Rearrange (2 + 0 - 1)*(-6 - 6 - 6)*(0 + 0 - 2)*(2*d - 2 + 2)*(-d**2 + 2*d**2 + 0*d**2 + (-2*d + 0*d + 3*d)*(d + 0 + 0)) to h*d + c + p*d**3 + x*d**2 and give p.
144
Rearrange -2*m + 10619*m**2 - 906*m**2 + 3*m - 2*m - m to the form r*m + t*m**2 + j and give r.
-2
Rearrange 5747 - 2*x - 3*x**3 - 2894 - x**4 - 2908 to the form h*x**3 + b*x**4 + g*x + v*x**2 + n and give b.
-1
Rearrange -178*j + 62*j + 571*j + 387*j + 2 to r*j + t and give t.
2
Express (-161 - 240 + 86)*(-z - 29 + 29) in the form n + y*z and give y.
315
Express (811492*g - 1652*g**3 - 811492*g)*(3*g + 3*g - 5 - 7*g) as w*g**3 + x*g**2 + r*g + k + n*g**4 and give w.
8260
Rearrange -63 + 15*a - 25*a + 12*a - 11 - 80 - 2*a**2 to the form q*a + g + j*a**2 and give q.
2
Rearrange -12*r + 37*r**2 + 2*r - 66 + 34 + 35 to h*r + z + w*r**2 and give z.
3
Express 148446 - 148446 + 501*j**2 as q*j + p*j**2 + w and give p.
501
Express 1 + 5*q + 2361*q**2 + 2460*q**2 - 4916*q**2 as u*q**2 + v + m*q and give m.
5
Rearrange (p**2 - 7*p**3 + 8*p**3 + p**2)*(9*p - 460*p + 153*p) to i*p**2 + h + q*p**3 + b*p + t*p**4 and give q.
-596
Rearrange 2498*m + 2469*m + 4*m**2 - 9 - 4986*m to y*m + l + s*m**2 and give y.
-19
Rearrange -3*m + 4 - 4 + (7*m - 3*m + 14*m)*(114 + 129 - 155) to z + o*m and give o.
1581
Express 4 - 42 + 3*p**2 + 45*p**2 + 2 - 23*p**2 as q + a*p + n*p**2 and give n.
25
Express v**2 + 2*v**2 - 4*v**2 + (-v + 7*v + 5*v)*(149*v - 67*v - 107*v) + 4 + 2*v**2 - 4 + (3 - 3 - 2*v)*(-30 - 2*v + 30) as l*v + c + w*v**2 and give c.
0
Express (7 - 8 + 17)*(-1 - a - a + 2) + a - 4*a + 4*a + (14 - 5 - 7)*(-1 + 1 + a) in the form j + k*a and give k.
-29
Rearrange (668 + 84 + 339)*(3 + 5*l - 3)*(2 - 1 - 3) to h*l + s and give h.
-10910
Express (2 + 3 - 4)*(-5 + 4 + 0)*(-4 + 2 + 1)*(0 - 2 + 7)*(-3 + 2 + 3)*(3 + 3 - 4)*(2*k - 5*k - 6*k) in the form t*k + d and give t.
-180
Rearrange (1337 + 967 + 544 + 170 - 385)*(-2*j - 3*j + 2*j) to the form s + p*j and give p.
-7899
Express (-2*a - 2 + 2)*(-12*a + 5 + 23*a - 13*a) + 6*a - 8*a**2 + 0*a + 10*a**2 as h*a**2 + x*a + l and give h.
6
Express (19 + 19 - 12)*(0*m - m + 0*m)*(-m + 4*m + 0*m)*(-m - 8*m - 5*m) as p*m + h + s*m**3 + y*m**2 and give s.
1092
Express 2*c**3 - 8*c - c**4 + 11*c - 14*c + 6*c**3 - 2*c**2 + 1 in the form p*c + u*c**2 + g*c**3 + d + b*c**4 and give d.
1
Rearrange -15555*k**2 + 4 - 4 + 35917*k**2 to the form j*k**2 + z + s*k and give j.
20362
Express -51*x**2 + 5*x + 16*x**2 + 37*x**2 + 0*x**2 + 43*x**2 as b + t*x**2 + z*x and give t.
45
Express 617622 - 1086*b - 617622 + (-3*b + 3*b + b)*(-6 + 11 - 6) as i + u*b and give i.
0
Express -2 + 42*h**4 - 89*h**2 + 11*h**4 - 8*h**3 + 8*h**3 + 93*h**2 - 7*h in the form t*h**4 + z + g*h**3 + m*h + o*h**2 and give t.
53
Rearrange (100 + 125 + 13)*(0 + x**3 + 0)*(3*x - 4*x - 2*x)*(0 + 6 - 4) to i + l*x**4 + y*x**2 + p*x + b*x**3 and give l.
-1428
Rearrange 3*n + 5*n - 4*n + 318 + 47*n**2 + 3*n**4 - 329 - n**4 to the form l*n**2 + m*n + o*n**3 + t*n**4 + v and give v.
-11
Rearrange d - 2 + 2 + (4 - 3 + 1)*(-d + 4*d - d) - 76 - 5105*d + 323 + 5109*d to v*d + y and give v.
9
Express 6*f**3 - 21*f**2 - 2*f + 202 + 21*f**2 + 356 - 206 as t*f + l*f**3 + g*f**2 + a and give l.
6
Express 175*w**2 - 76*w**2 - 83*w**2 - 48*w**2 + 10*w**3 - 4*w**4 in the form g*w + d*w**4 + o + n*w**2 + u*w**3 and give d.
-4
Rearrange -g - 64 - 6*g + 4 + 41 + 37 - 10*g**2 to p*g**2 + l*g + q and give q.
18
Rearrange (-z**3 - 9927683*z**2 - 1 + 9927742*z**2 - 2)*(15*z + 9*z - 7*z) to i*z**4 + m*z + y*z**2 + w*z**3 + s and give i.
-17
Express -3340*m + 2556*m + 4018*m + 3328*m + 1991*m in the form w + j*m and give j.
8553
Rearrange (95*w - 29*w + 58*w)*(0 + 0 - 10*w) to v*w**2 + b*w + a and give v.
-1240
Express (14*p - 19 - 6 + 27)*(-39*p + 12 - 12) in the form b*p**2 + o + r*p and give b.
-546
Express 1385*r - 1298 - 2767*r + 1385*r in the form l + w*r and give l.
-1298
Express -512*n - 487*n - 501*n + 1459*n + 0*n**2 + 16*n**3 - 2*n**2 in the form q*n**3 + x*n + v*n**2 + j and give x.
-41
Express -2*z**3 - 23801*z**2 + z**3 + 23760*z**2 - 25 in the form v*z + w*z**2 + y + c*z**3 and give y.
-25
Express -356*l**2 - 6*l + 679*l**2 + 60 - 316*l**2 as i*l**2 + m + w*l and give i.
7
Express 23 - 19 - 4 - 2*h + 270*h**2 as o + d*h + a*h**2 and give a.
270
Rearrange (-1 - 6 + 4)*(-1 - 4 + 2)*(2954*v**3 + 2488*v**3 - 2000*v**3) to y*v + w*v**3 + p*v**2 + t and give w.
30978
Express (2 + 1 + 9)*(27 - 61 + 34 - 690*m**3) in the form g*m**3 + r + u*m**2 + z*m and give g.
-8280
Rearrange (16451 - 16446 - 21*y - 118*y)*(1 + 0 + 0 + (0 + 3 - 4)*(0 - 2 + 1) + 2 + 1 - 4 + 2 - 2 + 1 + 5 - 2 - 4 - 24 + 10 - 16) to z*y + l and give z.
4031
Express (-910*g + 294*g + 311*g + 313*g + 827)*(0*g + 3*g - 2*g) in the form a*g + b*g**2 + i and give a.
827
Rearrange (u**2 + u**2 + u**2)*(-537*u - 541*u - 542*u - 537*u + 351 + 2154*u) to q*u**3 + x + a*u + f*u**2 and give f.
1053
Express (-187 - 220 - 187)*(0*h**2 - 6*h**2 - h**2) in the form t*h**2 + n*h + f and give n.
0
Rearr
|
{
"pile_set_name": "DM Mathematics"
}
|
give t.
-40
Express -3*v + 8 + v**4 + 3*v + (-v + v - 2*v)*(0*v**3 - v**3 + 0*v**3) as l*v**4 + b*v**3 + r*v + k*v**2 + i and give l.
3
Rearrange -9 + 8*u**3 + 2*u - 5 + 21 - 8 to the form i + a*u**2 + t*u**3 + j*u and give t.
8
Express (3*n**2 + n + 0*n**2 + 0*n)*(7 - 7 + 4*n) in the form h + d*n**2 + j*n + y*n**3 and give y.
12
Rearrange o**3 + 2 - o**2 + 5*o + 531*o**4 + 3*o**2 - 529*o**4 to the form d + c*o**2 + m*o**4 + j*o**3 + s*o and give d.
2
Express -14*x**3 + 0*x**3 - 2*x**3 + 0*x - 4*x as c*x**2 + k*x**3 + h + l*x and give k.
-16
Express (2 - 3 - 1)*(-15*a - 22*a + 35*a) in the form g + b*a and give b.
4
Express 11*a - 1 + 20*a + 88*a - 21*a in the form u + p*a and give u.
-1
Express (3*z**3 + 0*z**3 - 6*z**3)*(-3 - 13*z - 24*z + 49*z) in the form r*z**4 + y + b*z**3 + j*z**2 + d*z and give r.
-36
Rearrange 34*f - 40 - 36 + 76 to the form r*f + i and give r.
34
Rearrange (2*p**2 - 5*p**2 + 5*p**2)*(-1 + 1 - 1)*(-6 + 0 + 15) to q*p**2 + y + d*p and give q.
-18
Express (32*k**3 - 17*k**3 - 4*k**3)*(-4 - k + 4) as d*k**2 + w*k + p*k**3 + n*k**4 + m and give n.
-11
Express -6*g - 5*g + 4*g + 4*g in the form y*g + c and give y.
-3
Rearrange -3*x + 13*x - 4*x + 10*x to the form m + r*x and give r.
16
Express -9 + 30*v + 9 in the form x*v + i and give x.
30
Express 4*q**3 - 2*q**3 + 3*q**3 + (0 + 1 - 3)*(-q + q - 2*q**3) + (-2 + 3 - 3)*(-2*q**3 - 2*q**3 + 5*q**3) in the form w + h*q**2 + b*q**3 + k*q and give b.
7
Rearrange 2*g**3 - g + g**4 - g - 170 + 169 + g**2 to d*g**4 + u*g + k*g**2 + i + l*g**3 and give k.
1
Express (4 + 2*s - 4)*(-4 + 5 - 2) + (2 - 3 + 3)*(-6*s + 4*s + 0*s) as j*s + i and give j.
-6
Rearrange 3 - 71*h - 1 + 82*h to the form r + q*h and give r.
2
Express (2 + 0 - 3*s**2 + 7*s**2)*(5*s - 6*s + 5*s) - 2*s**3 - 1 + 1 in the form y*s**2 + v*s**3 + r + h*s and give h.
8
Express (-2*b - 2*b + b + (0*b - 4*b + 5*b)*(0 - 3 + 1))*(6*b + 5*b - 2*b) as q*b**2 + g*b + d and give d.
0
Rearrange -l - l**4 + 12*l**3 - 14*l**3 - 4*l**4 - 7 + 3*l**4 to x*l**2 + m*l + w*l**3 + g*l**4 + o and give w.
-2
Rearrange 2*r**3 - 3*r**2 + 8*r - 5*r - 6*r to the form k*r**2 + g*r + n + s*r**3 and give g.
-3
Express 2*w**3 + w + 0*w**3 + 4*w**3 as u + p*w**3 + h*w + g*w**2 and give h.
1
Rearrange (4*s + 2*s - 4*s - 4*s + 0*s + 3*s + (3*s + 0*s - s)*(3 - 2 + 0) + 3 - 3 + 5*s)*(-2*s - s + 5*s) to the form q*s**2 + o + f*s and give q.
16
Express (-4 + 3*b**2 + 4)*(1 + 2 - 2)*(1 - 3 + 1)*(-6 - 3 - 1) in the form a + y*b**2 + z*b and give y.
30
Rearrange -x**3 + 12 + x**4 - 4 - 4 - x**2 - 5 to the form a*x**2 + k*x**4 + w*x + n + r*x**3 and give n.
-1
Express 0*j**2 + 2*j**2 - 3*j**2 + (2*j + j - 4*j)*(4 - 4 + j) + 0*j**2 + 7*j**2 - 2*j**2 + 0*j**2 + 4*j**2 - 2*j**2 in the form m*j + p*j**2 + a and give m.
0
Rearrange (53 - 89 + 93)*(-2*d**2 + d + 11 - 11) to f*d + s*d**2 + x and give f.
57
Rearrange 3*m**4 + m - 5*m**3 + 13*m**3 + 2*m**2 + 0*m**4 + m**2 to the form x*m**2 + l*m**4 + t*m**3 + g*m + z and give g.
1
Express (2*i**3 - i**3 - 3*i**3)*((2 - 4 + 3)*(2*i - i + 3*i) - 3*i - 2*i + 7*i - i - 2*i + i) in the form b*i + t*i**2 + w*i**4 + c*i**3 + u and give w.
-8
Express (-2 - 3*c + 2 + (1 + 3 - 3)*(2*c - 2*c - c) + 3*c + 2*c - 3*c - 3*c + 0*c + 4*c)*(c + 0*c - 3*c) as q*c**2 + z + b*c and give q.
2
Rearrange 0*j - 3*j**2 - 13*j**2 + 0*j to the form s*j + w + v*j**2 and give v.
-16
Rearrange -31*y**3 + 0*y + 30*y**3 - 2 + 2*y**4 - 4*y + 2*y + 2*y**2 to the form k + w*y**2 + d*y**4 + s*y + z*y**3 and give s.
-2
Rearrange (3*c**2 - 2*c**2 - 2*c**2)*(8 + 17 - 9) to the form a*c + k*c**2 + j and give k.
-16
Rearrange 1 - 2*x**3 - 2 - 5 - 2*x**2 - 7 to t + p*x**2 + l*x**3 + u*x and give t.
-13
Express 0*u - 15*u**3 + 13*u**3 - 2*u**2 - 2*u + u + 1 in the form k*u**3 + j*u**2 + w*u + t and give k.
-2
Express 9*v + 4*v**2 + 3*v**4 + 2*v**3 - 10*v - 2*v**4 as b*v**2 + q + x*v**3 + i*v**4 + p*v and give i.
1
Express 1 + 7*x - 5*x - x in the form g + r*x and give g.
1
Rearrange -17 - 18*t**2 + 35*t**2 - 15*t**2 to z*t**2 + c*t + j and give z.
2
Rearrange -2 - 8*g + 3*g + 4*g + (-g + 2*g + 0*g)*(-6 + 2 + 2) - 5*g + 3*g + 3*g to s*g + b and give s.
-2
Express (5 + 17*w + 5 - 8)*(1 - w - 1 + 4*w + 0*w - 5*w + (4 - 3 - 4)*(w - 2*w + 3*w)) as d*w + h + s*w**2 and give d.
-16
Express -57*c**3 + 62*c**3 + 0 + 2*c**2 + 2 in the form b + w*c**2 + l*c + u*c**3 and give w.
2
Rearrange (-4*b + 5*b - 3*b)*(-10*b + 5 - 5) to the form m + c*b + x*b**2 and give x.
20
Express -118*d**4 + 5*d - d**3 + 117*d**4 + 0*d**3 in the form t*d**4 + y*d + l*d**2 + u*d**3 + q and give y.
5
Rearrange 49 + c + 79 - 75 to f + n*c and give f.
53
Express (-2 + 2 - 1)*(2*q - 2*q + 2*q**2 + (2*q**2 - q**2 - 2*q**2)*(-3 + 5 - 1)) - 8 + 8 - q**2 as r + x*q**2 + z*q and give x.
-2
Express 3 + 13*z - 4*z - 3 in the form v*z + f and give v.
9
Rearrange (-3*u**2 - 7*u**2 + u**2)*(0 + 0 - 2*u) to w*u + y*u**2 + p + d*u**3 and give d.
18
Express (w**2 - 2*w**2 + 2*w**2)*(3*w**2 + w**2 - w**2 + (1 - 1 - w)*(w + 3*w - 2*w)) as p*w**2 + a*w + j*w**3 + c + i*w**4 and give i.
1
Express -o + o + 5*o**2 + o**2 as z + g*o + w*o**2 and give w.
6
Express -3*t**2 + 5*t**2 - 9*t**2 - 7*t**2 as z + a*t**2 + w*t and give a.
-14
Express (17 - 14 + 19)*(k + 0*k - 3*k)*(0*k - 4*k + 5*k) in the form p*k**2 + d + b*k and give p.
-44
Rearrange 28 + 0*l**2 - 3*l**3 - 30 - 2*l**2 to the form b*l + t*l**2 + p + x*l**3 and give t.
-2
Express 2 + 0*a**2 + 12*a**4 - 10*a**4 - 34*a**2 + 5*a**2 as s + k*a**3 + l*a + m*a**2 + d*a**4 and give d.
2
Express (-4*l - 5 - 12*l**2 + 10*l**2 + 2*l)*(l - 4 + 4) as n + m*l**2 + i*l + a*l**3 and give i.
-5
Express -10*r + 15*r - 2*r**2 - 6*r + r**2 - 12*r**3 in the form j + t*r + m*r**2 + a*r**3 and give m.
-1
Rearrange 6*i**2 + 4*i - 6*i + 9*i**2 - 14*i**2 + 4*i**3 to y + m*i**3 + f*i + r*i**2 and give r.
1
Express 96*s - 96 + 189 - 93 in the form f + y*s and give y.
96
Rearrange (-45307 + 45307 + 306*r**2)*(6*r - 5*r - 3*r) to the form b*r**3 + c*r**2 + z*r + s and give b.
-612
Express (s - 4*s**3 - s)*(0 - 3 + 5) + s**3 + 2*s**3 - 4*s**3 as i*s**2 + r*s**3 + b*s + y and give r.
-9
Express -2*k**3 - 205*k**4 + 2*k**2 + 203*k**4 - 3 + 4 + k**3 + 2*k as d*k + j*k**2 + q + m*k**3 + o*k**4 and give d.
2
Express -19*a + 12*a - a**3 + 2 + 3*a in the form o + v*a + g*a**3 + d*a**2 and give o.
2
Rearrange -3*x + 3*x - 2*x + (3 - 1 - 4)*(3*x + 5*x - 6*x) - x - 1 + 1 + (1 + 4 - 3)*(-3*x + 5*x + 0*x) + x + x - 3*x - 4 - x + 4 to y*x + d and give y.
-5
Express -4 + 4 + 11*n - 9*n + n**4 - n**2 as o*n + r + p*n**2 + v*n**4 + u*n**3 and give p.
-1
Rearrange -5*r**2 - 3*r**2 + 0*r**2 + (-31 + 31 + 10*r)*(-1 - 1 + 4)*(0*r - 3*r + r) to the form y*r**2 + d + l*r and give d.
0
Express (-3*o + 4*o - 3*o + 2)*(9 + 11 + 9*o**2 - 21) in the form w*o + g*o**2 + d*o**3 + z and give g.
18
Rearrange f**3 + 85 - f + f**2 - 41 - 2*f**4 - 42 to c + x*f**3 + l*f**2 + u*f + d*f**4 and give c.
2
Rearrange -3*u**2 + 3*u**2 + u**2 + (-u + 4*u - u)*(2*u + 0*u - 4*u) + (0*u + 4*u + u)*(-4*u + 4*u + 2*u) to r*u + l + o*u**2 and give o.
7
Express p**2 - 27 - 36 + 49 as w*p**2 + o + s*p and give w.
1
Express -16*g + 2*g**3 + 15*g + 3*g**2 - 3*g**4 - 3*g**2 in the form m*g**3 + o + b*g**2 + q*g + c*g**4 and give c.
-3
Express -2*b**3 + 19*b**4 - 4 + b**2 - 3*b**2 - 18*b**4 in the form m + k*b**4 + c*b**2 + g*b + n*b**3 and give c.
-2
Rearrange (-2 + 2 - 2*s)*(-107 - 4*s + 107) to the form k*s**2 + n + q*s and give q.
0
Express -3*m + 3*m**2 + 6 - 5*m**2 - 2*m**4 - 6 + m**3 in the form l*m**4 + n + j*m**2 + i*m + g*m**3 and give g.
1
Rearrange -12*d - 53*d - 22*d to n + u*d and give u.
-87
Express 25*m + 21*m + 4 + 32*m - 2 as h + o*m and give o.
78
Express (-6*x - 7*x + 7*x)*(-5*x**2 + 4*x**2 - 2*x**2 + (2 - 3 - 1)*(x - x + 2*x**2)) + x**3 + 3 - 3 as d*x**3 + q*x**2 + j*x + r and give d.
43
Rearrange (5*k + 2*k - 3*k)*(3 - 5 + 1) to z*k + t and give z.
-4
Rearrange 5*t**4 + 0*t**4 + 2*t - 12*t**2 + 13*t**2 - 2*t**4 + 2*t**3 to s*t**2 + b*t**3 + k*t + m*t**4 + j and give k.
2
Express -39 + 20 - 6*h**2 + 17 - 5*h**2 as x + n*h + c*h**2 and give c.
-11
Rearrange (6*l**2 + 0*l - 3*l - 12*l**2)*(3*l - l + 0*l) to n + c*l**3 + w*l + u*l**2 and give u.
-6
Express 11 - 2 - 5 - 3*h**3 in the form o*h**2 + d*h + x*h**3 + a and
|
{
"pile_set_name": "DM Mathematics"
}
|
452964 to 2 decimal places.
357.45
Round 0.00030030814 to 5 decimal places.
0.0003
Round -31.68186 to one decimal place.
-31.7
What is 32.434261 rounded to one decimal place?
32.4
Round -141.441551 to one decimal place.
-141.4
Round -0.000001564824141 to seven decimal places.
-0.0000016
Round -0.8829105883 to 1 dp.
-0.9
Round -1.627345457 to one dp.
-1.6
Round -843.0588459 to the nearest integer.
-843
Round -0.2307427335 to three dps.
-0.231
Round -321.52494 to the nearest ten.
-320
What is 7.70176302 rounded to two dps?
7.7
Round -5437.47952 to the nearest one thousand.
-5000
Round -5794025500 to the nearest 1000000.
-5794000000
What is -15292448.9 rounded to the nearest one thousand?
-15292000
Round 4.508567739 to two dps.
4.51
Round 6096510 to the nearest 10000.
6100000
Round -37.83744067 to 3 decimal places.
-37.837
Round -0.007860513077 to five decimal places.
-0.00786
What is 0.0814136571 rounded to three dps?
0.081
What is 0.0000003471975428 rounded to 7 dps?
0.0000003
Round 1532.963159 to the nearest 1000.
2000
Round 0.00410735031 to four dps.
0.0041
Round 0.012042971 to three decimal places.
0.012
What is 0.004722059426 rounded to three dps?
0.005
What is -0.4668109 rounded to one dp?
-0.5
What is -107545.019 rounded to the nearest ten thousand?
-110000
What is 233969728 rounded to the nearest 10000?
233970000
Round -0.0739921475 to five dps.
-0.07399
Round -0.00336557252 to five dps.
-0.00337
What is -1.489990163 rounded to one decimal place?
-1.5
What is 0.2785493554 rounded to 5 dps?
0.27855
What is -13292.803 rounded to the nearest one hundred?
-13300
What is 1549.001543 rounded to two dps?
1549
What is 3445676.4 rounded to the nearest one million?
3000000
Round 0.000066472037 to 7 dps.
0.0000665
Round 0.00264493117 to 6 decimal places.
0.002645
What is -0.00000126884604 rounded to six decimal places?
-0.000001
What is -1050.9505225 rounded to two decimal places?
-1050.95
What is -26850.55634 rounded to the nearest 1000?
-27000
What is 0.00003555783677 rounded to six decimal places?
0.000036
Round -0.02276263886 to 4 dps.
-0.0228
What is -9.3630521 rounded to 1 decimal place?
-9.4
What is -0.0044234225 rounded to 3 dps?
-0.004
Round 262273.52 to the nearest 100.
262300
What is -0.000348849364 rounded to 6 decimal places?
-0.000349
Round 5244658400 to the nearest 1000000.
5245000000
What is -2850.93663 rounded to the nearest 10?
-2850
What is 27159345.6 rounded to the nearest one hundred thousand?
27200000
What is 2062.2267435 rounded to the nearest 100?
2100
What is -18631545.1 rounded to the nearest one million?
-19000000
What is -5142.97034 rounded to the nearest 100?
-5100
What is 9331250.06 rounded to the nearest 10000?
9330000
What is -422101.848 rounded to the nearest 100000?
-400000
Round 0.131629579 to five decimal places.
0.13163
Round 1830275.836 to the nearest ten thousand.
1830000
What is 0.000775069266 rounded to six decimal places?
0.000775
What is -116.353229 rounded to the nearest ten?
-120
Round 0.03168009863 to 5 decimal places.
0.03168
Round -3359107.81 to the nearest one thousand.
-3359000
Round -1391.27792 to the nearest integer.
-1391
What is 654.582177 rounded to the nearest integer?
655
What is -334.0923873 rounded to zero decimal places?
-334
What is -224.5115629 rounded to the nearest integer?
-225
What is 0.00000615652997 rounded to seven decimal places?
0.0000062
Round 5214285.7 to the nearest one thousand.
5214000
Round -0.000157065412 to five decimal places.
-0.00016
Round -2030.001197 to the nearest integer.
-2030
Round 4269482022 to the nearest one million.
4269000000
Round 0.00000690742882 to six dps.
0.000007
What is -312963.16 rounded to the nearest 100?
-313000
What is -0.97566756 rounded to 1 dp?
-1
What is 5058775.944 rounded to the nearest 100000?
5100000
What is -0.11618107 rounded to 4 dps?
-0.1162
Round 2211615.818 to the nearest 10000.
2210000
Round -0.000689121336 to 7 decimal places.
-0.0006891
Round -0.0000130493877 to six dps.
-0.000013
What is 17.98775565 rounded to 1 dp?
18
What is -0.07809323404 rounded to 4 decimal places?
-0.0781
Round 705.922632 to the nearest 10.
710
Round -250.105456 to the nearest integer.
-250
What is 1373.6648155 rounded to 0 decimal places?
1374
What is -40460581 rounded to the nearest one hundred thousand?
-40500000
Round -2683192.299 to the nearest 10000.
-2680000
Round -19663.8855 to the nearest ten thousand.
-20000
Round -0.54390434 to one decimal place.
-0.5
What is -21437.4661 rounded to 0 decimal places?
-21437
What is -2.1069349 rounded to 3 decimal places?
-2.107
What is -2.3527986033 rounded to 3 decimal places?
-2.353
Round -26107614192 to the nearest one hundred thousand.
-26107600000
Round 5994.4085 to the nearest one hundred.
6000
Round 5278524.7 to the nearest ten thousand.
5280000
Round -0.01009851288 to 3 decimal places.
-0.01
Round 8149.3087 to 0 decimal places.
8149
What is -1.3908635 rounded to 2 decimal places?
-1.39
What is -2497412940 rounded to the nearest one hundred thousand?
-2497400000
What is -932911.06 rounded to the nearest one hundred?
-932900
Round 3842619420 to the nearest one million.
3843000000
Round 129988482.92 to the nearest one million.
130000000
What is 68671.03451 rounded to the nearest 100?
68700
Round -0.0000758311539 to seven dps.
-0.0000758
Round 491585.4 to the nearest 1000.
492000
Round -0.00058263054 to six dps.
-0.000583
Round -83284.2839 to the nearest ten.
-83280
Round 887.77257 to the nearest ten.
890
Round 0.0000099608969 to seven decimal places.
0.00001
What is -0.003385490722 rounded to 7 decimal places?
-0.0033855
Round 328241710 to the nearest one hundred thousand.
328200000
What is 0.0008050371599 rounded to 7 decimal places?
0.000805
What is 2155.142175 rounded to the nearest 10?
2160
Round -1549.577425 to zero decimal places.
-1550
Round 0.04677537431 to two dps.
0.05
What is -1.705963948 rounded to one decimal place?
-1.7
What is 62934960600 rounded to the nearest 1000000?
62935000000
What is -0.072424501 rounded to five dps?
-0.07242
Round -0.000828076245 to six decimal places.
-0.000828
Round -194.6302942 to 2 decimal places.
-194.63
Round -1448.04454 to 0 dps.
-1448
Round -0.82775346 to 3 dps.
-0.828
What is 8876.35631 rounded to the nearest 1000?
9000
Round -51.0852408 to three dps.
-51.085
What is 0.473039592 rounded to 5 dps?
0.47304
What is 2100704.9 rounded to the nearest 1000?
2101000
Round 21.77823 to 2 dps.
21.78
Round -0.00012817617 to four decimal places.
-0.0001
Round -17324387.02 to the nearest 100000.
-17300000
Round 0.000028218763 to five dps.
0.00003
Round -344304274.6 to the nearest one hundred thousand.
-344300000
What is -0.01299479252 rounded to 6 dps?
-0.012995
Round -0.00000848950436 to seven dps.
-0.0000085
What is -16882356 rounded to the nearest 1000000?
-17000000
Round -0.0107975144 to three decimal places.
-0.011
Round 274.0875772 to 0 dps.
274
What is 613.360581 rounded to 0 dps?
613
Round 0.00000051679534 to seven dps.
0.0000005
Round 0.0002192885323 to five dps.
0.00022
What is 0.00277168277 rounded to five dps?
0.00277
Round 12626428.84 to the nearest one hundred.
12626400
Round 423534.49 to the nearest one hundred thousand.
400000
What is 115.99119882 rounded to 1 decimal place?
116
Round 0.092826157 to five dps.
0.09283
What is -206626.15 rounded to the nearest one hundred thousand?
-200000
What is -1410.034937 rounded to the nearest one thousand?
-1000
Round -0.000087300693 to 5 dps.
-0.00009
Round 0.013896408 to two dps.
0.01
What is -0.00001620133203 rounded to seven decimal places?
-0.0000162
Round 0.058638805 to two decimal places.
0.06
Round 56239.6964 to the nearest one thousand.
56000
What is 16663.46 rounded to the nearest one thousand?
17000
Round 99199.5377 to the nearest 10000.
100000
What is 1028936.92 rounded to the nearest 10000?
1030000
Round 2212115.433 to the nearest 100.
2212100
What is 0.0008818537029 rounded to 5 decimal places?
0.00088
What is 0.036006446 rounded to five dps?
0.03601
Round -0.000000515544493 to 7 decimal places.
-0.0000005
Round -0.00468609837 to seven dps.
-0.0046861
What is -108480.6496 rounded to the nearest 10000?
-110000
Round -3847792.1 to the nearest one thousand.
-3848000
What is -7255127.9 rounded to the near
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 3*p + 2. Let m be (-1 + 3)/(8/16). Determine m*y(n) + 3*w(n).
n**3 - 2*n**2 + 2
Let t(z) = -2*z - 5. Let b be t(-5). Let g(v) be the first derivative of 4*v**3/3 + 3*v**2/2 + v + 18. Let q(w) = 6*w**2 + 4*w + 1. What is b*q(l) - 7*g(l)?
2*l**2 - l - 2
Let w(p) = 2*p + 2. Let a(j) be the first derivative of 0*j - 2*j**2 + 3*j**2 + j + 4. Determine 4*a(x) - 3*w(x).
2*x - 2
Let k(z) = -2*z**3 - 4*z**2 - z + 14. Let l(n) = -6*n**3 - 11*n**2 - 3*n + 41. Give -11*k(b) + 4*l(b).
-2*b**3 - b + 10
Let l = -1 - -3. Let h(w) = 3*w**3 + 2*w**2 + 2*w - 2. Let t = 0 - 3. Let j(k) = 4*k**3 + 3*k**2 + 3*k - 3. Determine l*j(z) + t*h(z).
-z**3
Let r(t) = 29*t + 5. Let m(c) = 1. Calculate -5*m(z) + r(z).
29*z
Let a(p) = -4*p**2 + 11*p - 2. Let i(r) = 3*r**2 - 7*r + 1. Calculate -5*a(x) - 7*i(x).
-x**2 - 6*x + 3
Let x(a) = a**2 - 3*a. Let m(y) = -y + 1. Let c(n) = -3*m(n) + x(n). Let f(u) = 2*u**2 - 5. Give 7*c(t) - 4*f(t).
-t**2 - 1
Let z(k) be the third derivative of -k**4/24 - k**3/2 + 3*k**2. Let g(q) = -3*q - 10. Determine -4*g(s) + 14*z(s).
-2*s - 2
Let s = 4 - -1. Let y(j) = -6*j**2 + 5*j + 2*j - j**2. Let u(p) = 6*p**2 - 6*p. Calculate s*y(k) + 6*u(k).
k**2 - k
Let b(n) = -4*n + 8*n**2 - 6 + 2*n + 6*n - 2. Let d(w) = w**2 - w + 2. Let q(r) = -2*r**2 + r - 2. Let l(g) = -4*d(g) - 3*q(g). Give 2*b(t) - 9*l(t).
-2*t**2 - t + 2
Let w(m) = -17*m**2 + 12*m + 9. Suppose 3*a - 8 = b - 32, 5*a = -4*b + 11. Let t(p) = 4*p**2 - 3*p - 2. Calculate b*t(g) + 2*w(g).
2*g**2 - 3*g
Let t(o) = o**3 + 3*o - 3. Let c(v) = v - 1. Let a(w) = w + 1. Let h(k) = 3*k - 2. Let l(x) = 4*a(x) - h(x). Let f be l(0). What is f*c(u) - 2*t(u)?
-2*u**3
Let g(b) = 8*b**2 - 3. Let s(h) = 225*h**2 - 85. Determine 170*g(o) - 6*s(o).
10*o**2
Let m(c) = -9*c - 4. Let i(a) = -26*a - 12. Determine 3*i(p) - 8*m(p).
-6*p - 4
Let q(w) = 2*w**3 - 8*w**2 + 11*w + 7. Let l(i) = 2*i**3 - 8*i**2 + 10*i + 6. What is 7*l(s) - 6*q(s)?
2*s**3 - 8*s**2 + 4*s
Let q(g) = 3*g**2 - 2*g. Let c(w) = -21*w + 1 - 294*w**2 + 324*w**2 - 1. Give 2*c(f) - 21*q(f).
-3*f**2
Let x(z) = z**3 - z**2. Let n(f) = 5*f**3 + 12*f**2. Give n(l) - 6*x(l).
-l**3 + 18*l**2
Let g = -14 + 19. Let i(a) = -2*a**2 - 2*a - 2. Let h(b) = -4*b**2 - 5*b - 5. Determine g*i(j) - 2*h(j).
-2*j**2
Let h(j) = j**2. Let f(m) = -m**2 - 4*m. Give -2*f(b) - 4*h(b).
-2*b**2 + 8*b
Let o(w) = -3*w**3 + 5*w**2 - 5*w. Let i = -51 - -47. Let v(b) = 2*b**3 - 5*b**2 + 4*b. Determine i*o(g) - 5*v(g).
2*g**3 + 5*g**2
Let s(y) = -125*y**2 - 6*y + 6. Let l(k) = -1750*k**2 - 85*k + 85. Calculate 6*l(u) - 85*s(u).
125*u**2
Suppose 0*l - l = 2. Let v(p) = -9*p**2 + 5*p + 9. Let w(a) be the first derivative of 4*a**3/3 - a**2 - 4*a + 6. Determine l*v(q) - 5*w(q).
-2*q**2 + 2
Let d(y) = -16*y**3 - 6*y**2 + 11*y - 10. Let j(a) be the first derivative of 4 - 3/4*a**4 - 2*a + a**2 - 1/3*a**3. What is 2*d(b) - 11*j(b)?
b**3 - b**2 + 2
Let c(d) = -d**2 + d - 1. Let n(u) = 5*u**2 - u - 2. Give -2*c(b) - n(b).
-3*b**2 - b + 4
Let a(l) = -3*l - 2. Suppose 0 = -o + 3*t - 2, -4*o = -4*t + 6*t - 6. Let v(s) = 1 + 4 - 5 - s - o. What is a(x) - 4*v(x)?
x + 2
Let i(u) = 7*u**2 + 3*u - 3. Let h(z) be the third derivative of z**5/3 + z**4/3 - 4*z**3/3 - 18*z**2. Give 3*h(g) - 8*i(g).
4*g**2
Let y(s) = 1 + 2*s + 2 - 6. Let k(j) = -j + 1. Suppose -2*d + 5*r = 17, -3*d - 2*d + 3*r = 14. Give d*k(q) - y(q).
-q + 2
Let k be (-2)/2 + (-16)/(-4). Let w(f) = 2 + 3*f - 2*f + k*f - 2*f. Suppose 2*c + a - 10 = 1, -2*a = -2*c + 8. Let o(q) = q + 1. Calculate c*w(b) - 8*o(b).
2*b + 2
Let p(c) = -23*c**3 - 3*c**2 - 3. Let l(z) = -208*z**3 - 28*z**2 - 28. Determine 3*l(k) - 28*p(k).
20*k**3
Let j(u) = 17*u + 108. Let v(a) = -4*a - 27. Determine -2*j(g) - 9*v(g).
2*g + 27
Let g(h) = 2*h - 12. Let d(u) = 2*u - 12. Determine 5*d(q) - 6*g(q).
-2*q + 12
Let o(q) be the third derivative of -q**4/8 + 5*q**2. Suppose -3*l = -2*l - 5. Let r(v) = v. Give l*r(x) + 2*o(x).
-x
Let w(i) = -1. Let j(r) = r - 9. What is -j(q) + w(q)?
-q + 8
Let f(n) = n**2 + 1. Suppose 3*s + 8 = -2*v + 6*s, 0 = -4*v + 2*s. Let g(z) = v + 5*z**2 + 3 + 2*z**2. What is 5*f(y) - g(y)?
-2*y**2
Let c(t) = -11*t**2 - 9*t + 14 - 19 + 7*t**3 + 0*t. Let r(f) = 4*f**3 - 6*f**2 - 5*f - 3. What is -3*c(q) + 5*r(q)?
-q**3 + 3*q**2 + 2*q
Let i(t) = t**2 - 12*t + 1. Let k(j) = -11*j. Give 2*i(n) - 3*k(n).
2*n**2 + 9*n + 2
Let s(a) = -a**2 + 5*a - 5. Let x be s(4). Let h(n) = -2*n**3 - 6*n. Let f(d) = d. Let k(y) = -y. Let l(b) = 7*f(b) + 6*k(b). Give x*h(g) - 6*l(g).
2*g**3
Let m(r) be the third derivative of 3*r**4/8 - 3*r**2. Let o(u) = -2*u. Calculate -5*m(b) - 21*o(b).
-3*b
Let i(b) be the second derivative of -4*b + 0*b**2 + 1/3*b**3 - 1/4*b**5 + 1/6*b**4 + 0. Let w(y) = -6*y**3 + 3*y**2 + 3*y. What is 3*i(z) - 2*w(z)?
-3*z**3
Let a(i) = i + 1. Suppose 0 = j + 3*u - 4*u + 4, 17 = 2*j + 3*u. Let d(s) = 2*s**2 - s. Let w be d(1). Let g(z) = j - w + 1 + z. Calculate -5*a(y) + 4*g(y).
-y - 1
Suppose 31 = -4*o - 37. Let l = -2 + 4. Let q(w) = 3 + w**l - 2*w**2 - 2 - 6*w + 3*w**2. Let z(t) = 6*t**2 - 17*t + 3. Determine o*q(i) + 6*z(i).
2*i**2 + 1
Suppose 15 = -5*x + 5. Let n = -36 + 26. Let r(j) = j**2 - j. Let f(u) = -6*u**2 + 4*u. Give n*r(i) + x*f(i).
2*i**2 + 2*i
Let a(i) = i**3 - i**2 - 1. Let g(q) = -3*q**3 - 8*q**2 - 6. Determine -5*a(u) + g(u).
-8*u**3 - 3*u**2 - 1
Suppose 0 = 2*a - 2 + 30. Let j(r) be the third derivative of r**5/10 + 10*r**3/3 - r**2. Let u(w) = 2*w**2 + 7. Give a*u(t) + 5*j(t).
2*t**2 + 2
Let x = 32 + -29. Let a(o) = 4*o**2 - 3*o. Let w(g) = 5*g**2 - 4*g. Determine x*w(p) - 4*a(p).
-p**2
Let c(y) = 17*y**2 - 11*y - 11. Let q(o) = 6*o**2 - 4*o - 4. Let d be (5 - 2)*((-4)/(-3) - 0). What is d*c(w) - 11*q(w)?
2*w**2
Let o(w) = 4*w + 6. Let m(y) = 8*y + 13. Let d be -4 + (-2 - -5) + -5. Give d*m(p) + 13*o(p).
4*p
Let o(a) = -4*a**2 - 5*a + 3. Let c(q) = 2*q**2 + 2*q - 1. Calculate 7*c(l) + 3*o(l).
2*l**2 - l + 2
Let y(m) = -3 + 0*m + 2 + m. Let k(p) be the second derivative of p**5/20 - p**2/2 - 4*p. Determine k(c) - y(c).
c**3 - c
Let p be 1 + 0 + (5 - 1). Let s(o) = o**3 + o. Let v(h) = -h + 4*h + 7*h**3 + 4*h. Calculate p*s(d) - v(d).
-2*d**3 - 2*d
Let z(f) = 5*f + 1. Let o(g) = g - 1. Let h(i) = 5*i + 6. Let s(j) = -h(j) - 4*o(j). Calculate -4*s(m) - 7*z(m).
m + 1
Let r(d) = 19*d**3 - 3*d**2 + d + 2. Let f(z) = 18*z**3 - 4*z**2 + 2*z + 3. Give -2*f(x) + 3*r(x).
21*x**3 - x**2 - x
Let l(b) = b**3 - 5*b**2 + 7*b + 7. Let k(y) = y**3 - 4*y**2 + 6*y + 6. Suppose 0 = -2*g + t + 17, 5*t = -3*g - g - 1. What is g*l(r) - 7*k(r)?
-r**3 - 2*r**2
Let i(m) = 23 + 0*m - 14 - 8 + 5*m. Let g(y) = -6*y - 1. Suppose 0 = -l + 2 - 7, 3*l = -4*h - 31. Give h*i(v) - 3*g(v).
-2*v - 1
Let y(c) = c**2 - 2*c + 3. Suppose 21 = -u - 4*h, u + 2*h = -2*u - 13. Let n(q) = -q + 1. Calculate u*y(f) + 2*n(f).
-f**2 - 1
Let i(y) = 3 + 4 + 2*y**2 + 4*y - 6 - 4*y**2. Let m(x) = x**2 - x. What is i(u) + 4*m(u)?
2*u**2 + 1
Let l(i) = i**2 + 1. Let m(k) be the first derivative of -2 + 0*k**2 - 10/3*k**3 - 12*k. Calculate 12*l(q) + m(q).
2*q**2
Let q be (3/5)/(63/210). Let y(v) = -4*v**2 - 4*v. Let x(a) = 7*a**2 + 7*a - 1. Let j(z) = 3*x(z) + 5*y(z). Let b(d) = 1. What is q*b(w) + j(w)?
w**2 + w - 1
Let n(u) = -2*u**2 - 2. Let t(q) = -q**3 + q**2 + 1. What is -3*n(d) - 6*t(d)?
6*d**3
Suppose -4*m = -t + m + 7, -m = 2*t - 3. Suppose -t*j + 7*j = 55. Let l(s) = -3*s + 8. Let d(i) = i - 3. Give j*d(p) + 4*l(p).
-p - 1
Let x(w) = -w**3 - 6*w**2 + 4. Let v(h) = h**2 - 1. What is -4*v(k) - x(k)?
k**3 + 2*k**2
Let m(b) be the first derivative of -2*b**3/3 - b - 5. Let f(g) = 1 - g + 2*g**2 + g. Suppose -2*i = 5*x - 21, -6*x + x - 4*i + 17 = 0. What is x*f(j) + 6*m(j)?
-2*j**2 - 1
Let c(f) = -f - 2. Suppose -3*a - 7 = 5. Let t(y) = -y - 2. Determine a*t(r) + 5*c(r).
-r - 2
Let h(w) = 4*w**2 + 2. Let y(n) = -21*n**2 - 11. Suppose 4*c - 7*m + 2*m = 4, 0 = c + 3*m - 18. Suppose 4 = -c*s + 4*s. What is s*y(v) - 11*h(v)?
-2*v**2
Let b(g) = 6*g + 6. Suppose -4*s = 4*r - 44, 4*s - 3*r - 24 = -2*r. Let x(f) = -11*f - 11. Suppose -8*y - 12 = -11*y. Calculate s*b(w) + y*x(w).
-2*w - 2
Suppose 1 = -4*j - 3. Let c be 0 - j - (6 - 0). Let m(p) = p - 1. Let z be m(c). Let g(w) = -2*w - 3. Let h(q) = q + 2. Calculate z*g(s) - 10*h(s).
2*s - 2
Let p(s) be the third deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
*sqrt(648)))**2 + -5 + sqrt(19)*-1 + 1)*1 + -2)*-6.
6*sqrt(19) + 1925/54
Simplify (((-2 + sqrt(405))*-1 + sqrt(405) - (sqrt(405) - (-1*sqrt(405) + sqrt(405))*-2)) + -4 + sqrt(180) + (2 + sqrt(180) - sqrt(180)) + 1)**2.
-6*sqrt(5) + 46
Simplify -1 + 3 + (sqrt(2057) - (sqrt(2057) + -1 + 2)**2) + -4 + (0 + sqrt(2057) - sqrt(2057)) + 0 + 3 + -3.
-2060 - 11*sqrt(17)
Simplify (-5*(sqrt(6)/sqrt(3) - sqrt(2)) + ((sqrt(2) - sqrt(8)/sqrt(4)) + 0 - sqrt(2)))**2 + (-1*sqrt(1800)*5 - sqrt(1800))**2 + 4.
64806
Simplify (-4*sqrt(65)*-2 - -2*sqrt(65)*-5)/((sqrt(50)*2*3)/((sqrt(60) - (sqrt(60)*-1 - sqrt(60)))/sqrt(6))).
-sqrt(13)
Simplify (4*-1*sqrt(351)*-3)/(-3*sqrt(363) + sqrt(3) + 3*sqrt(108)).
-18*sqrt(13)/7
Simplify (5 + -3 + (sqrt(180) + 1)*1 + (sqrt(180) - (sqrt(180) + -6*(sqrt(180) - (sqrt(180)*-2)**2))))*-3.
-126*sqrt(5) + 12951
Simplify (5*(-3 + sqrt(1900)*-2) + 4 - ((sqrt(1900) + 1 + -5)*4 + 3))**2.
-560*sqrt(19) + 372404
Simplify (-3 + (-3*sqrt(396)*6*3 - 6*(-6*(0 + sqrt(11) - sqrt(11)) + sqrt(77)/(sqrt(7)*-2))))**2.
1926*sqrt(11) + 1133460
Simplify ((sqrt(2112) - (sqrt(2112) + sqrt(2112)*1 + sqrt(2112))*-6) + (sqrt(2112) - 1*sqrt(2112)*3))/(((sqrt(3) - (sqrt(12) + sqrt(3))) + sqrt(3))*-6*2*3).
34*sqrt(11)/9
Simplify (1 + (-6*sqrt(176)*-1 + 2 + sqrt(176) + 0 - 2*((sqrt(176) - -1*sqrt(176)*6) + sqrt(176))))**2.
-216*sqrt(11) + 14265
Simplify 1 + ((sqrt(1836) + sqrt(1836)*-2 + sqrt(1836))*2)/(sqrt(432)*-2 - sqrt(432)).
1
Simplify (-4*sqrt(528))/(sqrt(275) + 3*sqrt(275)) + (sqrt(525)*2 + sqrt(21))/(sqrt(42)/sqrt(6)*6).
31*sqrt(3)/30
Simplify (6*6*-4*3*(sqrt(300) + -5 + sqrt(300) + -2) + 5)**2.
-52341120*sqrt(3) + 233123641
Simplify (2 + (-4 + 1*sqrt(605) + -1 + 4 - (-4*(sqrt(605) + 2) + 2*sqrt(605)*-3)))**2.
2178*sqrt(5) + 73286
Simplify ((3*1*(sqrt(480) + -1*sqrt(480) + sqrt(480) - sqrt(480)))/(4*(sqrt(1440) + sqrt(1440)*2)))**2*-6.
0
Simplify (4 + sqrt(475) + sqrt(475) + sqrt(475) + -1 - (sqrt(19)*-2 + 4 + 5)**2) + ((sqrt(1368) + -1*sqrt(1368))/(sqrt(8)/sqrt(4)*6)*-5)**2.
-154 + 51*sqrt(19)
Simplify ((sqrt(66) - 4*(sqrt(66) - 3*sqrt(66))) + 1*(3*sqrt(66) - sqrt(66)))/(2*sqrt(486)*1*-1).
-11*sqrt(11)/18
Simplify (((6*sqrt(204)*-1 - sqrt(204))/(-4*sqrt(54)))/(-2*sqrt(18)/(1*sqrt(225)))*4)**2.
20825/36
Simplify -5 + (-4 + -5*(-5 + (0 + sqrt(405))*6 + sqrt(405) + 4))**2*-3.
-1488383 + 1890*sqrt(5)
Simplify ((-5 + -4 + sqrt(2299) + -2 + -4 + -1)*6)**2*-3.
-275940 + 38016*sqrt(19)
Simplify -3*((-3 + (-2*sqrt(72) - sqrt(72)))**2 + -2 + (sqrt(72) - (sqrt(72) + 0)))*2 + 4.
-3926 - 648*sqrt(2)
Simplify (-1*-6*(sqrt(19) + 1) - (1 + sqrt(475)*2)) + -5*(sqrt(95)/sqrt(5) + 2 - (3 + sqrt(19) + sqrt(19) + 5)).
sqrt(19) + 35
Simplify ((sqrt(12) + (sqrt(12) - -4*(sqrt(12) + sqrt(432))))/(sqrt(44)/sqrt(99)) - (-4*sqrt(27)*3)/(sqrt(54)/sqrt(216)))**2.
78732
Simplify ((-2*(sqrt(88)*3 + sqrt(88)) + (sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + -3*sqrt(88))*4)))/(1*sqrt(2)*-4 - sqrt(2) - -2*sqrt(98))*-4)**2.
11264/9
Simplify 4*(-1 + ((sqrt(39)/(sqrt(3)*3))**2*5 + -5*sqrt(39)/(sqrt(18)/sqrt(6)))*-4).
-1076/9 + 80*sqrt(13)
Simplify (((sqrt(2448) - sqrt(2448)*-1)*-1 - (1 + -1 + sqrt(2448) + sqrt(2448)))**2 - ((sqrt(2448) + sqrt(2448)*-1)*6 + 4))*6.
234984
Simplify -5*((sqrt(343) + 3*(sqrt(343)*1 + sqrt(343)) - (sqrt(343) + -3 + sqrt(343) + 3))*-4)**2*3*1.
-2058000
Simplify (5*(sqrt(117)*-2*-3 + (sqrt(117) - (1*sqrt(117) + sqrt(117) - sqrt(117))*-5)))/((5*sqrt(81)*-1 + sqrt(81))*5).
-sqrt(13)
Simplify (-2*sqrt(204)*-2*6*-6)/(4*sqrt(1728)*-2 - (sqrt(1728) + -5*(sqrt(1728) - (sqrt(1728) + sqrt(1728)*-2) - sqrt(1728)))).
3*sqrt(17)
Simplify (-2 + 1*(sqrt(208) + sqrt(208)*-1)*-6 + (sqrt(208)*1 + -3)*-4)**2.
-320*sqrt(13) + 3428
Simplify -4 + (6*(sqrt(3564) - 2*sqrt(3564)) - (sqrt(484)*-1*-3 + sqrt(484))/sqrt(11)) + -2.
-116*sqrt(11) - 6
Simplify -5 + ((1*sqrt(704) - sqrt(704))**2 + 4 - sqrt(704) - (sqrt(704) + 5*(-1*sqrt(704) + sqrt(704)))) + 1 + -5 + -1.
-16*sqrt(11) - 6
Simplify (3*(-6*(sqrt(147)*-2)/sqrt(7)*2)/(sqrt(7) + sqrt(21)/(sqrt(12)/sqrt(4)) + sqrt(7) - (5*-3*sqrt(7) + sqrt(7))))**2.
15552/289
Simplify (4 + (sqrt(539) + -1 + -1*sqrt(539) - -5*(sqrt(539) + 2)) + -2*(sqrt(539) + (-1 + sqrt(539) - sqrt(539)) + sqrt(539)) + 4)**2.
266*sqrt(11) + 900
Simplify -1*((sqrt(2592) - sqrt(2592)*-2) + sqrt(2592) - -1*sqrt(1800))/(sqrt(45)/(sqrt(405) - ((sqrt(405) - -1*sqrt(405)) + sqrt(405) + sqrt(405)))).
1566*sqrt(2)
Simplify (sqrt(891) + sqrt(891) + 0 + sqrt(891) + 5 + 1 - (1 + -6*sqrt(33)/sqrt(3) + 1))**2.
264*sqrt(11) + 11995
Simplify ((-1 + 6*(5 + 1*(-4 + sqrt(2736)) + ((sqrt(2736) + 3)*1 - sqrt(2736))))*6)**2.
119232*sqrt(19) + 3564900
Simplify (3 + ((sqrt(110)/sqrt(5))/sqrt(11)*-4 - (sqrt(2) - (-5 + sqrt(2) + 2))*4) + 2)*2.
-14 - 8*sqrt(2)
Simplify (-4 + (-6*(sqrt(396) + 0 - sqrt(396) - sqrt(396))*2 + (sqrt(396) + -1)*4 + (-5*(sqrt(396) + 1) - sqrt(396)))*-3)**2.
-8280*sqrt(11) + 356929
Simplify ((sqrt(90)*-2)/sqrt(6))/(-2*sqrt(243) + sqrt(243) - sqrt(243) - sqrt(243)) + -1 + (0 + sqrt(180))**2 + -5.
2*sqrt(5)/27 + 174
Simplify (sqrt(375)*2 - (sqrt(135) - sqrt(135)*-1)/sqrt(9))/((sqrt(21)/(sqrt(7)*1) - sqrt(33)/(-1*sqrt(11)))*1).
4*sqrt(5)
Simplify (((-5 + (sqrt(33) - sqrt(528))/sqrt(3))*4)**2 + (-1*sqrt(88)*1)/((sqrt(72) - (sqrt(72) + sqrt(72)*1))/sqrt(9)))*-3.
-5952 - 1443*sqrt(11)
Simplify 1*((sqrt(70)/sqrt(8) + sqrt(35))/((sqrt(560) - sqrt(35))/sqrt(7)) + (-6*(sqrt(77)*-1 - sqrt(77)))/(-2*sqrt(891)))*3.
-sqrt(7)/2
Simplify 6*(((sqrt(99) + -5)*4 - (sqrt(33)*2 - sqrt(33))/sqrt(3)*-5) + -2)**2.
-4488*sqrt(11) + 21978
Simplify (-5 + -4 + (sqrt(500)*2*-2 - (sqrt(500) + -2 + sqrt(500) + 1)) + 2)**2.
720*sqrt(5) + 18036
Simplify (sqrt(228) - -3*sqrt(228)*2)/(5*sqrt(48)) - (-1*sqrt(114)*5)/(sqrt(24)/sqrt(4)*-5).
-3*sqrt(19)/10
Simplify (((sqrt(343) + (1*sqrt(343) - sqrt(343)) + -5 - sqrt(343) - sqrt(343))*-1*4 + ((-1 + sqrt(343))*-5 + sqrt(343) + -5)*-3)*-3)**2.
40320*sqrt(7) + 793872
Simplify 5*(((-1*sqrt(425))**2 + (sqrt(34)/sqrt(2) - sqrt(17) - sqrt(17))*6)*-2 - (sqrt(34) + (sqrt(1224) + sqrt(1224)*4 - sqrt(1224)))/sqrt(2)*-3).
-4250 + 435*sqrt(17)
Simplify (2*(1 + sqrt(200))*-4 - (-2*sqrt(18)/sqrt(3))/((sqrt(66)/sqrt(2))/sqrt(11)))**2.
1248*sqrt(2) + 12232
Simplify (5*sqrt(324)*-4)/(sqrt(1200)*-3 - sqrt(12)) + 2.
2 + 60*sqrt(3)/31
Simplify (sqrt(1944) - (3*sqrt(1944) + sqrt(1944))*-1)/(sqrt(300) - (sqrt(300) - -1*sqrt(300))*-2).
9*sqrt(2)/5
Simplify ((sqrt(1584) - (sqrt(1584) + -3 + sqrt(1584))*6)**2 - (sqrt(88) - 1*sqrt(88)*-1 - sqrt(88))/sqrt(8))*-4.
-767952 + 19012*sqrt(11)
Simplify (3*(sqrt(1408)*1 + sqrt(1408) + sqrt(1408))*-2)/((sqrt(126)/(sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(112)))))/(1*sqrt(36))).
1152*sqrt(11)
Simplify -5 + (-1*(-5 + 4 + sqrt(192) + (1*sqrt(192) + -5 - sqrt(192)) + (sqrt(192) - (-4 + -2*sqrt(192)))))**2.
-128*sqrt(3) + 3071
Simplify (-2 + (5 + (sqrt(1573) - (1 + sqrt(1573))*-3) + sqrt(1573) + 1*-1*(-2 + sqrt(1573)))*-3)**2.
8448*sqrt(13) + 227536
Simplify (sqrt(500) + 1 + sqrt(500) + 3 + 0)*5 + (sqrt(5) + sqrt(5) + 1 + 5 + -5*(1 + sqrt(5)))**2 + ((0 + sqrt(5))*4 - sqrt(5) - sqrt(405)*-2).
66 + 115*sqrt(5)
Simplify -2 + -1 + (3 + sqrt(325) + 0 + -5 + sqrt(325)*-1 + -3 + sqrt(325) + 0 + 1)**2.
-40*sqrt(13) + 338
Simplify ((-3*(sqrt(99) + 2*sqrt(99)))/(sqrt(12)*-6))/(4*(sqrt(27)*-2 + (sqrt(3) + sqrt(48) - sqrt(3))*6)).
sqrt(11)/96
Simplify 0 + sqrt(1700) + 0 + 2 + 1 + 2*sqrt(17) + -1*sqrt(2448) + sqrt(2448) + 0.
3 + 12*sqrt(17)
Simplify ((sqrt(112) + sqrt(112)*-1)*-1 - -3*(sqrt(112) + -1) - (0 + -6*sqrt(112)*5))**2 + 3.
-792*sqrt(7) + 121980
Simplify (2 + (-6*((1*sqrt(242) - sqrt(242)) + sqrt(242) + sqrt(242)) - sqrt(242)) - (((sqrt(242) - sqrt(242)*-1*-4 - sqrt(242)) + sqrt(242))*-1)**2)*-5.
715*sqrt(2) + 10880
Simplify ((3*(sqrt(20)*1 + sqrt(20)))/(sqrt(10)*1*-5))**2*4 - (2*(1*sqrt(96))/(2*sqrt(12)/sqrt(4) + sqrt(3) + sqrt(3)))**2.
88/25
Simplify (6*(5 + (sqrt(75) - (-2 + sqrt(75) - sqrt(75))))**2 - ((-1 + sqrt(75))**2*6 - (-5 + sqrt(75)*2))) + -4.
279 + 490*sqrt(3)
Simplify -6*((1 + 0 + 1 + -3 + -1 + sqrt(153) + 3)**2 + 2).
-936 - 36*sqrt(17)
Simplify 1 + -5*(-2*sqrt(14)*2)/(sqrt(2) + sqrt(50) + (sqrt(100)/sqrt(2) - sqrt(50) - sqrt(50)))*-1.
-20*sqrt(7) + 1
Simplify -2*((((-1*sqrt(320) - sqrt(5) - sqrt(5)) + sqrt(5) - sqrt(5)) + -3*2
|
{
"pile_set_name": "DM Mathematics"
}
|
e the third derivative of 0*g**4 - 12*g**k + 0 + 0*g**3 + 0*g - 1/60*g**5. Determine s(l(w)).
-w**4
Let s(a) be the second derivative of 0*a**3 - 5 + 1/12*a**4 + 0*a**2 - 10*a. Let u(t) = 65*t. What is s(u(m))?
4225*m**2
Let j(k) = 12199928*k. Let t(a) = a**2 - 5. What is t(j(f))?
148838243205184*f**2 - 5
Let t(n) = -192*n**2. Let r(w) be the third derivative of w**4/12 - 74*w**2 + 2. Calculate r(t(m)).
-384*m**2
Let v(d) = -d**2. Let f be (-6)/(2/((-850)/51)). Let i(o) be the third derivative of -f*o**2 + 0 + 3/4*o**4 + 0*o + 0*o**3. What is v(i(p))?
-324*p**2
Let v(w) = -4*w - 12. Let a(q) be the third derivative of -91*q**2 + 0*q**3 + 0*q + 0*q**4 + 0 + 1/60*q**5. Calculate a(v(p)).
16*p**2 + 96*p + 144
Let x(p) = -283*p. Let k(f) = 6*f**2 + 45*f - 2610. Let l(n) = n - 58. Let m(a) = 4*k(a) - 180*l(a). Give m(x(t)).
1922136*t**2
Let k(r) be the first derivative of -r**3/3 + 453. Let l(b) = -1542*b**2. Give k(l(x)).
-2377764*x**4
Let c(a) = 439*a + 5. Let y(x) be the second derivative of -x**3/6 - 2*x - 1500. What is y(c(l))?
-439*l - 5
Let c(x) = -130*x + 130. Let s(t) = -16*t. Determine c(s(p)).
2080*p + 130
Let a(n) = -71*n. Let d(q) = -1 + 1 - 12498107*q**2 + 12498092*q**2. Calculate d(a(v)).
-75615*v**2
Let u(n) = 36 - 39*n**2 - 36. Let f(j) be the third derivative of 0*j**4 + 1/30*j**5 + 17*j**2 + 0*j + 0 + 0*j**3. What is u(f(v))?
-156*v**4
Let d(f) = 3*f. Let q be (4 + -7 - -2)/(-1). Let i be (8/(-20))/q - (-48)/20. Let w(m) = -6*m + i*m + 4*m - m. What is w(d(c))?
-3*c
Let z(c) = -2*c**2. Let g = 192/131 - 1021/786. Let w(r) be the second derivative of 36*r + 0 - g*r**4 + 0*r**2 + 5/2*r**3. Determine z(w(o)).
-8*o**4 + 120*o**3 - 450*o**2
Let b(j) = 21*j**2 + 11. Let t(i) = -4*i**2 - 2. Let x(p) = -4*b(p) - 22*t(p). Suppose -6*c + 3*c + 45 = 0. Let v(q) = c + q - 15. Calculate v(x(g)).
4*g**2
Let i(u) be the second derivative of -7*u**3/3 + 67*u - 4. Let s(r) = 8*r**2 + 5. Give s(i(f)).
1568*f**2 + 5
Let b(f) = 25 + 7719*f + 7 + 11 - 7721*f - 7. Let p(t) = -115*t**2. What is b(p(d))?
230*d**2 + 36
Let m(h) = -371*h. Let v(n) = -2031*n + 35. Give v(m(u)).
753501*u + 35
Suppose 2 = -3*u + 8. Let n = 146 - 134. Let v(x) = 5*x**u - 18*x**2 + n*x**2 + 6*x**2. Let i(o) = -7*o. Determine v(i(t)).
245*t**2
Let a(l) = 2*l + 55. Let u(p) = 1935*p**2 - 175*p + 1575. Let h(x) = 44*x**2 - 4*x + 36. Let t(j) = 175*h(j) - 4*u(j). Give t(a(q)).
-160*q**2 - 8800*q - 121000
Suppose 5*u - t - 4*t - 20 = 0, 0 = t - 4. Let p(b) = u*b + 2*b - b. Let a(s) = -14*s + 4. Let f(h) = 3*h - 1. Let z(y) = a(y) + 4*f(y). What is p(z(v))?
-18*v
Let i(a) = -13*a**2 - 3. Let j(w) = 55*w - 20. Let t(f) = 161*f - 55. Let l(n) = 11*j(n) - 4*t(n). Give l(i(p)).
507*p**2 + 117
Let h(t) = -45*t - 21. Let w(l) = -9*l - 4. Let c(y) = 4*h(y) - 21*w(y). Let o(k) = -167*k + 363*k - 114*k - 95*k. Calculate o(c(u)).
-117*u
Let m(j) = 2*j**2. Suppose 14 = 5*w - y, 1463*w + 3*y + 6 = 1466*w. Let l(i) be the second derivative of -44*i - 25/2*i**2 + 1/6*i**w + 0. Calculate l(m(c)).
2*c**2 - 25
Let a(k) = 3158*k**2. Let f(h) be the first derivative of 2*h**3/3 - 6232. Determine a(f(u)).
12632*u**4
Let s(d) = -246*d**2. Let p(a) = -5684*a**2. Let m(h) = 5*p(h) - 116*s(h). Let v(z) = -66*z**2. Calculate v(m(t)).
-888096*t**4
Let a(h) = 12999*h. Let x(y) = 473*y + 4. Give a(x(t)).
6148527*t + 51996
Let t be (-132)/(-15) - 4 - (-2)/10. Let o(i) = -16*i**2 + 3. Let q(n) = 8*n**2 - 1. Let z(a) = t*q(a) + 2*o(a). Let y(p) = -p. Determine z(y(u)).
8*u**2 + 1
Let l(h) = -152*h**2. Let r(g) = -293232*g**2. Determine r(l(u)).
-6774832128*u**4
Let y(n) = 6*n**2. Let a be (-72)/(-27) + 3/9. Let v(k) = 5*k**2. Let t(u) = a*v(u) - 2*y(u). Let l(j) = -15*j**2. Calculate l(t(g)).
-135*g**4
Let y(t) = 37*t**2 - 2. Let f(v) = -91*v**2 + 5. Let s(m) = -2*f(m) - 5*y(m). Let r(z) be the first derivative of 36*z**3 - z**2 - 12. What is r(s(d))?
972*d**4 + 6*d**2
Let x(b) be the second derivative of 2*b**3/3 - 2*b + 12378. Suppose 4*l - 3 = 5. Let p(c) = c**2 + 0*c**l - 3*c**2. Give p(x(u)).
-32*u**2
Let l(c) = 7*c**2. Let q(r) = -856933*r. Determine l(q(o)).
5140339165423*o**2
Let m(h) = 9*h. Suppose 4*w - 4*a = 116, -a + 10 = -3*a. Let x(l) be the first derivative of -3*l**2 + 14*l**3 + w + 3*l**2 - 15*l**3. Determine m(x(s)).
-27*s**2
Let d(a) = 4*a + 11*a - 33*a + 16*a + 11*a. Let h(q) = -10*q**2. What is d(h(m))?
-90*m**2
Let b(j) = 9*j. Let f(l) = 4*l**2. Let z(a) = 14*a**2. Let v(h) = 20*f(h) + 4*z(h). Determine b(v(c)).
1224*c**2
Let f(p) = 271*p. Let g(m) be the second derivative of 2*m**3/3 - 398*m. Determine g(f(b)).
1084*b
Let n(t) = -12*t + 2. Let i(c) = 131*c - 24. Let v(u) = -i(u) - 12*n(u). Let s(k) = -4. Let m(w) = w - 1. Let h(j) = -4*m(j) + s(j). What is v(h(x))?
-52*x
Let p(l) = 21024*l. Let v(r) = 272*r**2. Give p(v(t)).
5718528*t**2
Let d(z) = -z**2. Suppose 4*m - 5*g = 24, 19*m - g - 7 = 16*m. Let p(f) = -2321*f**2 + 2267*f**2 - m + 1. Calculate d(p(v)).
-2916*v**4
Let w(g) = 39556*g. Let y(c) = 489*c. Give w(y(n)).
19342884*n
Let w(u) = u. Let p(c) = -14 - 40*c**2 + c + 50*c**2 - c. Let d(f) = 2*f**2 - 3. Let z(j) = 14*d(j) - 3*p(j). Determine w(z(x)).
-2*x**2
Let g(m) = 18902987*m**2. Let c(q) = 25*q. Determine g(c(s)).
11814366875*s**2
Let h(i) = -46*i + 6. Let z(y) = 8*y - 1. Let w(b) = h(b) + 6*z(b). Let v(s) = -262*s + 1. Give w(v(q)).
-524*q + 2
Let x(p) = 5338*p + 5346*p - 10715*p. Let w(j) = 93*j. Calculate w(x(l)).
-2883*l
Let w(j) = -5*j - 4*j + 7*j. Let d(f) be the third derivative of -f**7/360 + 5*f**4/24 + 5*f**2. Let r(k) be the second derivative of d(k). What is r(w(a))?
-28*a**2
Let q(n) = 1 - 3*n - 1. Let d(w) = 137*w + 14. Let z(m) = -90*m - 9. Let b(x) = 7*d(x) + 11*z(x). Give q(b(s)).
93*s + 3
Let l(m) be the third derivative of -m**5/30 - 24*m**2. Let f(h) = -2 + 8*h - 10*h + 12*h + 2*h. Calculate f(l(j)).
-24*j**2 - 2
Let w(i) = 206 + 170 - 5*i - i - 374. Let t(p) = -93*p. Calculate t(w(n)).
558*n - 186
Let m(g) = -4*g. Let l(u) = -3*u + 2359 - 2359. Let s(v) = 5*l(v) - 4*m(v). Let x(z) = -3*z**2 + 2*z**2 - 2*z**2. Calculate x(s(h)).
-3*h**2
Let b(k) = -5*k**2. Let p = 18 - 9. Suppose p*c + 290 - 857 = 0. Let u(v) = -2*v**2 + c - 63. Give u(b(l)).
-50*l**4
Let m(i) = 32*i. Let b(h) = 13754*h**2. What is m(b(z))?
440128*z**2
Let l(y) = 24*y. Let b(s) = -4*s - 48*s - 9*s + 17*s. Determine l(b(m)).
-1056*m
Let q(x) = 26*x. Let a(b) be the first derivative of b**3/2 + 54*b + 8. Let l(t) be the first derivative of a(t). Give q(l(j)).
78*j
Let m = 85 + -83. Let t(y) = 5*y + 19*y**2 - 17*y**m - 5*y. Let d(l) = 14*l**2. Calculate t(d(z)).
392*z**4
Let n(o) = 22*o**2 - 7*o + 7. Let m(x) = -19*x**2 + 6*x - 6. Let u(t) = -7*m(t) - 6*n(t). Let h(g) = -94 + 254 - 98 - g. Calculate u(h(q)).
q**2 - 124*q + 3844
Let g(c) = c. Let b(v) be the third derivative of -36*v**2 + 0*v - 95/24*v**4 + 0*v**3 + 0. Give b(g(j)).
-95*j
Let n(l) = 930*l. Let x(t) = 361*t. Give n(x(q)).
335730*q
Let w(o) = 299*o + 9. Let x(g) = -5*g - 13904 + 4*g - g + 13904. What is w(x(n))?
-598*n + 9
Let d(b) = -49*b**2. Let i(h) = -985517*h**2. Give d(i(w)).
-47590944107161*w**4
Let y(g) = g**2. Let v(a) = 10125*a - 7. Let i(x) = 10139*x - 8. Let m(j) = -6*i(j) + 7*v(j). What is m(y(q))?
10041*q**2 - 1
Let o(j) = 20*j - 7. Let v(h) = -2*h**2 + h + 12439. Give o(v(a)).
-40*a**2 + 20*a + 248773
Let p(n) = -n**2. Let i(b) = 2*b**2 - 5751287. Determine i(p(a)).
2*a**4 - 5751287
Let f(v) = -34*v - 72. Let y(u) = 318*u + 672. Let h(n) = -28*f(n) - 3*y(n). Let l(k) be the first derivative of -107*k**3/3 + k + 1. What is h(l(w))?
214*w**2 - 2
Let t(a) = -4*a**2 + 7*a. Let o(d) = -29*d - 33 + 5 + 0*d + 28. Calculate o(t(u)).
116*u**2 - 203*u
Let q(c) be the third derivative of -1/20*c**5 + 0*c**4 - 20*c**2 + 0*c**3 + 0*c + 0. Let j(g) = 5*g**2 + 5. Give j(q(t)).
45*t**4 + 5
Let f(g) = 172*g - 4. Let z(p) = 461*p - 11. Let x(d) = -8*f(d) + 3*z(d). Let k(n) = -3*n. What is k(x(m))?
-21*m + 3
Let x(q) = -4*q**2 + 4*q + 2. Let c(g) be the first derivative of -7*g**3 + 11*g**2 + 11*g - 17. Let r(a) = 6*c(a) - 33*x(a). Let i(v) = -17*v. Give r(i(n)).
1734*n**2
Let x(n) = -46865587*n. Let r(w) = 7*w. What is r(x(g))?
-328059109*g
Let c(i) = 45*i**2. Let w(h) be the third derivative of -h**6/120 - 7*h**3/2 - 19*h**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 466*l**3 - 18208*l**2/9 + 6904*l/9 + 9856/3 = 0?
-1, 2, 6, 11, 112
Find l, given that 2*l**3 + 282*l**2 + 2572*l - 6288 = 0.
-131, -12, 2
Determine n so that -9*n**4/10 + 3959*n**3/5 - 21937*n**2/10 + 1052*n + 1754/5 = 0.
-2/9, 1, 2, 877
Solve -36*z**5/5 + 17128*z**4/5 + 7724*z**3 - 36224*z**2 - 248464*z/5 - 45888/5 = 0.
-4, -1, -2/9, 3, 478
Let 535*w**3/3 - 3185*w**2/6 + 2065*w/6 + 25/3 = 0. Calculate w.
-5/214, 1, 2
Let -2*z**3 - z**2/8 + 8*z + 1/2 = 0. Calculate z.
-2, -1/16, 2
Factor -y**4 - 18*y**3 - 71*y**2 + 90*y.
-y*(y - 1)*(y + 9)*(y + 10)
Factor -z**2/2 + 6243*z - 24964.
-(z - 12482)*(z - 4)/2
Determine h, given that -13*h**4/8 + 217*h**3/8 + 151*h**2/4 + 9*h = 0.
-1, -4/13, 0, 18
Factor a**2 - 11628*a + 11627.
(a - 11627)*(a - 1)
Find j such that 2*j**3/11 + 222*j**2/11 - 2648*j/11 + 4392/11 = 0.
-122, 2, 9
Factor n**3/9 + 585*n**2 + 10526*n/9.
n*(n + 2)*(n + 5263)/9
Solve 2*q**2/7 - 2156900*q/7 + 581527201250/7 = 0.
539225
Find v such that -108*v**4 - 2238*v**3 - 11026*v**2 + 3408*v + 864 = 0.
-12, -9, -1/6, 4/9
Find m such that 22*m**4/13 - 488*m**3/13 - 462*m**2/13 + 1112*m/13 - 184/13 = 0.
-2, 2/11, 1, 23
Factor k**3 - 408*k**2 + 2001*k + 5642.
(k - 403)*(k - 7)*(k + 2)
Find t such that -2*t**4/7 - 3260*t**3/7 + 6*t**2/7 + 9776*t/7 - 6520/7 = 0.
-1630, -2, 1
Factor -2*n**3 - 20630*n**2.
-2*n**2*(n + 10315)
Suppose 5*c**3 - 15265*c**2 + 106670*c - 182760 = 0. Calculate c.
3, 4, 3046
Determine x, given that -3*x**3 + 369*x**2 + 1992*x - 9216 = 0.
-8, 3, 128
What is f in 3*f**4 + 978*f**3 - 9*f**2 - 2940*f - 1956 = 0?
-326, -1, 2
What is o in -30*o**3 - 5236*o**2 - 42496*o = 0?
-166, -128/15, 0
Determine d so that -d**2/5 - 9589*d/5 - 9584 = 0.
-9584, -5
Factor 4*p**3 + 4792*p**2 - 48256*p + 77312.
4*(p - 8)*(p - 2)*(p + 1208)
Let j**5/4 + 25*j**4/4 + 127*j**3/4 - 333*j**2/4 + 45*j = 0. What is j?
-15, -12, 0, 1
What is s in -205*s**2 + 3423695*s + 167010 = 0?
-2/41, 16701
What is b in 2*b**3/7 + 3952*b**2/7 + 116818*b/7 + 16124 = 0?
-1946, -29, -1
What is p in 4*p**5 - 168*p**4 - 196*p**3 + 1032*p**2 = 0?
-3, 0, 2, 43
Factor -f**4/3 + 469*f**3 - 937*f**2 + 1405*f/3.
-f*(f - 1405)*(f - 1)**2/3
Factor -l**5/2 - 1195*l**4 - 1435177*l**3/2 - 4273320*l**2 - 6393888*l.
-l*(l + 3)**2*(l + 1192)**2/2
Factor 2*y**4 + 39552*y**3 + 194553788*y**2 - 9801974400*y + 122834461250.
2*(y - 25)**2*(y + 9913)**2
Solve 2*h**3/9 - 230*h**2/9 - 29954*h/9 - 29722/9 = 0.
-77, -1, 193
Find q, given that -3*q**2 - 3135*q - 3132 = 0.
-1044, -1
Determine h, given that -2*h**5/11 - 20*h**4/11 + 194*h**3/11 + 20*h**2/11 - 192*h/11 = 0.
-16, -1, 0, 1, 6
Factor 3*j**3/8 - 11409*j**2/4 + 5420700*j + 10852812.
3*(j - 3804)**2*(j + 2)/8
Find u such that 2*u**2/3 + 2272*u + 13624/3 = 0.
-3406, -2
What is y in -5*y**2 - 1244480*y - 77436523520 = 0?
-124448
Suppose 2*m**5/9 - 62*m**4/9 - 344*m**3/9 - 568*m**2/9 - 32*m = 0. What is m?
-2, -1, 0, 36
Let 2*l**4/7 - 2746*l**3/7 + 946674*l**2/7 - 2820830*l/7 + 1876900/7 = 0. Calculate l.
1, 2, 685
Find u such that 5*u**4 + 290*u**3 - 4095*u**2 + 7300*u - 3500 = 0.
-70, 1, 10
Suppose -36*h**5 + 1992*h**4 - 32212*h**3 + 56576*h**2 + 1438896*h + 2767680 = 0. Calculate h.
-3, 20, 62/3
Factor 2*k**3 + 398*k**2 + 14388*k - 46800.
2*(k - 3)*(k + 52)*(k + 150)
Factor p**4 - 478*p**3 + 60717*p**2 - 837144*p - 1920996.
(p - 231)**2*(p - 18)*(p + 2)
Suppose f**2 - 3491*f + 31338 = 0. What is f?
9, 3482
Factor g**2/11 + 7*g/11 - 105288/11.
(g - 321)*(g + 328)/11
Factor -5*t**2 + 145*t + 5610.
-5*(t - 51)*(t + 22)
Suppose -1811716*p**4/7 + 45325204*p**3/7 + 46296872*p**2/7 - 119472*p + 3744/7 = 0. What is p?
-1, 6/673, 26
What is v in -2*v**4/13 - 170*v**3/13 + 7662*v**2/13 - 14806*v/13 + 7316/13 = 0?
-118, 1, 31
Determine l, given that 3*l**2/4 + 1359309*l/4 - 339828 = 0.
-453104, 1
Factor 5*t**3 - 1590*t**2 + 68575*t - 130830.
5*(t - 267)*(t - 49)*(t - 2)
Factor 5*h**4 - 99520*h**3 + 496404320*h**2 - 11870745600*h + 71138592000.
5*(h - 9940)**2*(h - 12)**2
Factor -4*q**4 + 114832*q**3 - 824493688*q**2 + 4943862096*q - 7414243236.
-4*(q - 14351)**2*(q - 3)**2
What is r in 3*r**3/4 + 40*r**2 - 109*r/4 - 27/2 = 0?
-54, -1/3, 1
Factor c**4 + 1913*c**3 - 21124*c**2 + 76912*c - 92352.
(c - 4)**2*(c - 3)*(c + 1924)
Solve -v**2 + 29*v + 1196 = 0.
-23, 52
Factor -8*g**3 + 1439086*g**2 - 64717586220*g - 16179486498.
-2*(g - 89943)**2*(4*g + 1)
Solve 2*j**2 + 1098610*j/3 - 122068 = 0 for j.
-183102, 1/3
Suppose s**4/5 + 1509*s**3/5 - 3*s**2/5 - 905*s + 3018/5 = 0. Calculate s.
-1509, -2, 1
Factor -3*n**4/4 + 32649*n**3/2 + 146961*n**2 + 881847*n/2 + 1763775/4.
-3*(n - 21775)*(n + 3)**3/4
Factor z**2/4 - 8937*z/2.
z*(z - 17874)/4
Factor 3*x**3 - 294*x**2 - 2145*x + 236292.
3*(x - 97)*(x - 29)*(x + 28)
Factor -b**3/3 - 1129*b**2/3 - 3368*b/3 + 11260/3.
-(b - 2)*(b + 5)*(b + 1126)/3
Determine r, given that 2*r**4/9 + 20*r**3 + 166*r**2/9 - 356*r/3 = 0.
-89, -3, 0, 2
Determine h, given that 594*h**5 - 8091*h**4 + 22665*h**3 - 11691*h**2 + 1401*h + 90 = 0.
-1/22, 1/3, 3, 10
Suppose d**3/6 + 49*d**2/2 - 11069*d/3 + 7280 = 0. Calculate d.
-240, 2, 91
Determine g so that -5*g**3 + 815*g - 2310 = 0.
-14, 3, 11
Let 5*p**4 - 430*p**3 + 11985*p**2 - 109820*p + 98260 = 0. Calculate p.
1, 17, 34
Factor 3*q**2/7 - 15927*q/7 + 15924/7.
3*(q - 5308)*(q - 1)/7
Factor -3*s**2 - 729*s - 25326.
-3*(s + 42)*(s + 201)
Solve a**3/6 + 1928*a**2/3 - 7730*a + 23208 = 0 for a.
-3868, 6
Determine t so that -100*t**4 - 3160*t**3 - 1808*t**2 + 1624*t + 372 = 0.
-31, -1, -1/5, 3/5
Factor -3*a**3 + 1044*a**2 - 80703*a + 1800750.
-3*(a - 250)*(a - 49)**2
What is g in 35*g**5 + 577*g**4 + 274*g**3 + 32*g**2 = 0?
-16, -2/7, -1/5, 0
Find r such that -r**4/5 + 16*r**3/5 + 966*r**2/5 - 24696*r/5 + 27783 = 0.
-35, 9, 21
Factor 3*b**2 - 458976*b + 17554914048.
3*(b - 76496)**2
Solve 2*o**5/7 + 534*o**4/7 - 1082*o**3/7 - 1614*o**2/7 = 0.
-269, -1, 0, 3
Suppose 4*n**4 - 64*n**3 - 2064*n**2 + 49664*n - 266240 = 0. What is n?
-26, 10, 16
Factor -26*p**2/15 - 1896*p/5 - 872/3.
-2*(p + 218)*(13*p + 10)/15
Find c, given that -c**2/2 - 170*c + 12000 = 0.
-400, 60
Factor -3*j**2/2 + 1920*j + 81963/2.
-3*(j - 1301)*(j + 21)/2
Factor -b**2/8 - 32015*b/4 - 1024960225/8.
-(b + 32015)**2/8
Factor 15*s**2 - 150312*s - 30063.
3*(s - 10021)*(5*s + 1)
Factor 2*o**2/11 - 2458*o/11 - 4924/11.
2*(o - 1231)*(o + 2)/11
Determine n, given that -3*n**2 + 8984508*n - 6726782000172 = 0.
1497418
Factor -4*j**3 + 36*j**2 + 1488*j + 2800.
-4*(j - 25)*(j + 2)*(j + 14)
Factor -14*b**2/23 - 259758*b/23 - 37108/23.
-2*(b + 18554)*(7*b + 1)/23
Let k**2 - 31024*k + 240622144 = 0. What is k?
15512
What is h in h**3/5 - 4687*h**2 + 23432*h/5 + 46868/5 = 0?
-1, 2, 23434
Factor 14*a**2/11 - 21156*a/11 - 18144/11.
2*(a - 1512)*(7*a + 6)/11
Factor 5*d**2 + 712020*d + 25348624020.
5*(d + 71202)**2
Solve 2*u**5 - 624*u**4 - 632*u**3 + 1876*u**2 + 630*u - 1252 = 0 for u.
-2, -1, 1, 313
Solve n**3/2 + 15712*n**2 - 62851*n/2 + 15713 = 0.
-31426, 1
Solve -d**5/7 - 20*d**4/7 + 2*d**3/7 + 408*d**2/7 + 9*d - 2052/7 = 0.
-19, -4, -3, 3
Find d, given that 32*d**5/7 - 1296*d**4/7 + 5378*d**3/7 - 1008*d**2 + 2600*d/7 - 288/7 = 0.
1/4, 2, 36
Determine s, given that 2*s**4/5 + 15262*s**3 - 24*s**2/5 - 915752*s/5 - 244192 = 0.
-38155, -2, 4
Factor 2*l**2/5 + 4126*l/5 + 16472/5.
2*(l + 4)*(l + 2059)/5
Let -2*h**2 - 253152*h - 8010741888 = 0. What is h?
-63288
Determine x so that -x**3 + 290*x**2 - 12625*x + 150000 = 0.
25, 240
Solve n**2/2 - 7919*n + 62710561/2 = 0 for n.
7919
Factor c**2/3 - 601*c/3 - 1010.
(c - 606)*(c + 5)/3
Factor 2*j**3/11 - 46386*j**2/11 - 278370*j/11 - 37962.
2*(j - 23199)*(j + 3)**2/11
Solve 2*n**2/23 + 8912*n/23 - 44610/23 = 0.
-4461, 5
Let 3*d**3 - 25416*d**2 - 101712*d = 0. What is d?
-4, 0, 8476
Determine k so that -2*k**2 + 11454*k - 11452 = 0.
1, 5726
Solve 88*g**2/3 - g/3 = 0.
0, 1/88
Factor g**3 - 13*g**2 - 1218*g.
g*(g - 42)*(g + 29)
Factor -2*u**3 + 26*u**2 + 1220*u + 7072.
-2*(u - 34)*(u + 8)*(u + 13)
Solve 2*f**2/5 - 39286*f/5 = 0.
0, 19643
Factor p**4/4 - 252*p**3 + 4509*p**2/2 - 6750*p + 26973/4.
(p - 999)*(p - 3)**3/4
Factor 4*z**5 - 948*z**4 - 952*z**3.
4*z**3*(z - 238)*(z + 1)
Determine f so that -3*f**4/7 - 8772*f**3/7 - 17523*f**2/7 + 26298*f/7 = 0.
-2922, -3, 0, 1
Solve -15*x**3 - 16120*x**
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 9. Calculate s(t).
-2
Let g(q) = 8253 - 8349 + 211*q - 231*q - q**2. Calculate g(-6).
-12
Suppose 3*x + 2*n = 5*x + 6, 2*n = 5*x. Suppose 31*t - 186 - 31 = 0. Suppose 5*u + d - 28 = -x, u + 2*d = t. Let v(o) = o + 2. Calculate v(u).
7
Suppose -21 + 0 = -3*i. Suppose 0 = -t - 1, h - 5*t + t = 9. Let x(v) = 6 + 5*v - v + h*v - 10*v. Calculate x(i).
-1
Let h(o) = -15*o - 216. Let n be h(-20). Suppose n*s - 98 = 35*s. Let p(l) = 19*l - 1. Calculate p(s).
37
Let k(u) = u**2 + 5*u - 5. Let j be ((-20)/(-80))/((-2)/(-56)). Let w(o) = -10*o + 64. Let t be w(j). Calculate k(t).
1
Let r(o) = -2*o**2 + o - 7. Let t(v) = -v**2 - v + 2. Let w(a) = r(a) - 3*t(a). What is w(-6)?
-1
Let t = -62 + 57. Let s(f) = -2 + 23*f + 26 - 11 - 4*f**2 + 26. Let j(w) = 3*w**2 - 15*w - 26. Let y(a) = t*s(a) - 7*j(a). What is y(-9)?
-4
Suppose -7*p + 14*p + 3*p = 0. Let z be (-6 - p) + (-7 - -5). Let g(i) = -i**2 - 6*i + 11. Determine g(z).
-5
Let p(l) = 7*l - 8. Let i = -6879 + 6866. Calculate p(i).
-99
Let k(h) = h + 3. Suppose -1388*m = -1370*m - 108. Determine k(m).
9
Let p(s) = s**3 - 8*s**2 + 10*s - 8. Let m(r) = r**2 + 8*r - 105. Let n be m(7). Suppose -25*q + 94 + 56 = n. Calculate p(q).
-20
Let g be 4*(-2 - -11)/(-9). Let b(x) = 2*x**3 + 5*x**2 - 2*x - 4. Give b(g).
-44
Let w be 1*4*5/20 - -2. Suppose 6*t - 5*t = w. Let k(d) = 13*d**3 + 5*d**2 - 8*d**3 - 6*d**t + 3*d. Give k(6).
-18
Let v(i) = 7*i**2 + 53. Let r(t) = 8*t**2 + 2*t + 57. Let b(x) = -6*r(x) + 7*v(x). Determine b(7).
-6
Let b(z) = -z**3 + 28*z**2 + 10*z + 565. Let s be b(29). Let v(t) = t - 52. What is v(s)?
-38
Let r = 3831 + -3809. Let s(q) = 2*q - 50. Calculate s(r).
-6
Let x be (-168)/12 - -8 - 3. Let h(z) = z**2 + 11*z + 19. Determine h(x).
1
Let o(y) = 11*y - 1. Let d(w) = -w + 2. Let i(j) = -10*d(j) - o(j). Calculate i(-7).
-12
Let y = -6448 + 6458. Let u(d) = -d**2 + 15*d. Give u(y).
50
Let k(l) = -141*l + 2703 - 1012 - 1806 - 1294. What is k(-10)?
1
Let v = -2 + 4. Let l(s) = 2*s**2 + 4*s + 1. Let k(h) = h**2 + 3*h + 1. Let w(q) = v*l(q) - 3*k(q). Suppose -30 = -464*r + 381*r - 113. Calculate w(r).
1
Let i(y) = y**3 + 2*y**2. Suppose 0 = 3*w - 4*m - 576, 300 = 2*w + m - 95. Suppose 192*c + 4 = w*c. Let p(o) = 4*o**2 - 2*o. Let g be p(c). Determine i(g).
16
Let s(v) = -v**2 - 14*v - 29. Let t = -691 - -689. Let w be (((-132)/(-55))/t)/(2/20). Calculate s(w).
-5
Let s(p) = -p**3 - 13*p**2 - 4*p - 19. Let g(k) = -465*k - 2803. Let l be g(-6). What is s(l)?
33
Let b = -65253 + 65242. Let z(l) = -11 + 9*l - 3 + 0*l**2 + l**2. Determine z(b).
8
Suppose -24*f + 21*f + 6 = 0. Suppose v + 3*k - 52 = 5, 0 = f*k + 4. Suppose 65*o - v*o = 0. Let u(b) = b**3 + b - 2. Determine u(o).
-2
Let p(q) = -q**2 - 11*q - 5. Let f(v) = 99*v + 91. Let k be f(17). Suppose -u - 1781 = -k. Calculate p(u).
23
Let m = 613 + -231. Let z(b) = -124*b - 131*b + m*b - 131*b. What is z(-6)?
24
Let x(n) = n**2 + 27*n - 229. Let f be x(7). Let c(m) = 7*m - 48. What is c(f)?
15
Let h(u) be the first derivative of -u**4/4 - 10*u + 2. Let l(a) = -6*a - 17. Let t be l(-4). Suppose g = -7*g + t*g. Determine h(g).
-10
Let w(z) = -z**3 - 5*z**2 + 2. Suppose 0 = -4*c + 3051 - 3059. Let m(q) = -q**2 - 4*q - 3. Let i be m(-2). Let k be (c + (-5 - -2))/i. What is w(k)?
2
Let x(r) = -r**2 + 27 + 2*r**2 - 111 - 3*r**2 + 54 - 31*r. Give x(-17).
-81
Let r(a) be the first derivative of 0*a + 3/2*a**3 - 10*a**2 - 3/20*a**5 - 1/24*a**4 + 7 + 1/120*a**6. Let j(p) be the second derivative of r(p). Give j(9).
0
Let c(g) be the first derivative of -2 + 1/2*g**2 + g. Let s = 6536 + -6538. What is c(s)?
-1
Let z(u) = -u**2 + 3*u**2 - u - 4*u + 5. Let k(i) = 5*i**2 - 15*i + 16. Let o(q) = 3*k(q) - 8*z(q). Suppose 2604*j - 2617*j = 91. What is o(j)?
-6
Let b be (42/(-28) + 2)*-12. Let q(s) = 9*s**2 - 13*s - 14. Let m(p) = -7*p**2 + 12*p + 13. Let d(c) = -5*m(c) - 4*q(c). Determine d(b).
3
Let j = 123 + -119. Let h(u) = 4*u**2 - 6*u + 1. Let i(n) = 2*n**2 - 3*n. Let o(d) = 3*h(d) - 5*i(d). Calculate o(j).
23
Let h = 274 + -747. Let f = 486 + h. Let s(n) = -n**2 + 13*n - 5. Calculate s(f).
-5
Let o(g) = -g + 4. Let t be (0 + -3)/((-4)/24). Suppose 5*l - 7 = -5*d + t, 2*l - 3 = 5*d. Suppose -3*x = 22 - d. What is o(x)?
11
Let s(p) = -4*p**2 - 23*p. Let y be s(-5). Suppose 5*m + y - 10 = 0. Let b(v) be the first derivative of 2*v**4 + 2*v**3/3 + v**2 + v + 54. Calculate b(m).
-7
Suppose 80 = -4*x - 48. Let s = -4887 + 4925. Let n = x + s. Let t(m) = -m**2 + 5*m + 8. Determine t(n).
2
Suppose q - 2*b + 15 = b, -5*b = 3*q - 53. Let f(o) = -5*o + 4. Let h(c) = -6*c + 4. Let n(s) = 5*f(s) - 4*h(s). What is n(q)?
-2
Suppose 47 = 30*w - 145 - 18. Let j(t) = 3 - 3 + t. Give j(w).
7
Let w(h) be the first derivative of -h**6/360 + h**5/40 - h**4/8 + 91*h**3/3 + 59. Let o(s) be the third derivative of w(s). Give o(4).
-7
Suppose g - 11 = -5*n, -3*g + 10 = 4*n - 1. Let h(i) = -10*i**2 + 2*i**n + 8*i**2 + i - 18*i**2. What is h(-1)?
-19
Suppose -4*u = -45 + 1. Let c(g) = g**3 + 11*g**2 + u*g**2 - 17*g**2 + g + 5. Calculate c(-5).
0
Let o(n) = -n**3 + 10*n**2 - 12*n - 5. Let m(b) = -38*b**2 - 2510*b - 124. Let t be m(-66). Calculate o(t).
27
Let d(r) = 13*r**2 - 40*r + 279. Let z(a) = -2*a**2 - 11. Let t(c) = -d(c) - 6*z(c). Determine t(6).
-9
Let z(i) = 8*i - 20. Suppose -24*r = 196*r + 1760. Give z(r).
-84
Suppose -4*m + 6 = -2*m. Let h(p) = p**2 - 7*p. Let s(r) = -r. Let q(i) = -i**3 - 24*i**2 + 2*i + 49. Let n be q(-24). Let g(o) = n*h(o) - 5*s(o). What is g(m)?
3
Let p(r) = r**2 - 6*r - 39. Let m(l) = l**3 - 31*l**2 + 109*l - 13. Let o be m(27). Give p(o).
73
Suppose -74*h - 69 - 50 - 29 = 0. Let b(a) = 9*a**2 + 9*a - 1. Give b(h).
17
Let x(y) = -4*y**3 + 223*y**2 + y - 7 - 108*y**2 - 106*y**2. Let d(n) = -3*n**3 + 7*n**2 + n - 6. Let c(l) = 5*d(l) - 4*x(l). Determine c(0).
-2
Let n(t) = -6*t**2 + 3*t + 6. Suppose -58*h + 24 = -70*h. Determine n(h).
-24
Let q(j) = -5*j**2 - 11*j - 9. Let m(r) = -r**2 - 2*r - 2. Let a(f) = 11*m(f) - 2*q(f). Let d = -15 + 13. Let h = d - -2. Calculate a(h).
-4
Suppose -4 + 31 = 3*n. Let p(r) = -2 + 10*r**2 - n*r**2 - r**3 - 9*r**2 - r. Suppose -4*t + 2*m - 42 = 0, -4*t + 4*m - 7 = 45. What is p(t)?
6
Let w(d) = 0 + 27*d + 6*d**2 + 4 - 9*d**2 + 2*d**2 - 33*d. Let c(n) = n**3 + 2*n**2 + 3. Let i be c(-3). What is w(i)?
4
Let f(v) be the second derivative of 1/2*v**4 - 1/2*v**3 - 1/20*v**5 - 143*v + 5/2*v**2 + 0. Calculate f(5).
15
Let z be (-34)/(-10) + (3 - 24/10). Let r(l) be the second derivative of l**3 + 5/2*l**2 - 13*l - 1/12*l**z + 0. Calculate r(6).
5
Let s(g) = 0 - 6*g**2 + 2*g + 2 + 3*g**2. Suppose 0 = -12*l - 25 + 1. Give s(l).
-14
Let g(f) = f**3 + 48*f**2 - 3*f + 34. Let y(w) = -3*w**3 - 135*w**2 + 8*w - 97. Let m(i) = -17*g(i) - 6*y(i). Let l = -2 + 7. What is m(l)?
-6
Let x = -113 + 217. Let l = 99 - x. Let a(b) = -2*b**3 + 5*b**2 - 3*b + 7. Let y(f) = 3*f**3 - 5*f**2 + 4*f - 8. Let t(p) = -4*a(p) - 3*y(p). Give t(l).
-4
Let b be 1/(-4) + 7/(-168)*-2334. Let s = 92 - b. Let z(i) = -i**2 - 4*i. Determine z(s).
-5
Let h(t) be the third derivative of 5*t**4/12 - 13*t**3/6 + 4*t**2 + 2*t - 195. What is h(7)?
57
Let m(q) = 6*q + 58. Suppose 468*w - 56 = 4*x + 466*w, -2*w = -3*x - 45. Determine m(x).
-8
Let n(t) be the first derivative of -6*t**2 + 12*t + 9475. What is n(-2)?
36
Let l(p) = 5*p - 3*p**2 + 12*p**2 - 40 + 32 - 6*p**2 - 2*p**2. Suppose -4 = 2*b + 10. Give l(b).
6
Let c(w) = w**3 - 18*w**2 + 85*w - 46. Suppose 29*m - 130*m + 904 = 12*m. Determine c(m).
-6
Let h(z) = -7321 + 7319 + 6*z - 3*z. Calculate h(13).
37
Let w(s) = -s - 2. Let k(u) = u**2 + 9*u + 17. Let d be k(-8). Suppose 5*q - 60 = 5*a, q = 3*a + 7 + d. Let l(h) = h - 18. Let r be l(q). Calculate w(r).
6
Let g(j) = -2*j + 4. Let v = -55 - -59. Suppose -o + 8 = -v*m, -m - 2*o + 5 = 2*m. Let t be (-3 - -1) + m + -4. Calculate g(t).
18
Let z = 8269 - 8256. Let t(c) = c**2 - 6*c - 92. Determine t(z).
-1
Let j(i) = 11*i**2 - 14*i. Suppose a + 24 = -5*a + 30*a. Calculate j(a).
-3
Let s(h) = -5*h - 23*h**2 - 6*h - 24*h**2 - 10*h + 46*h**2 + 8. Give s(-21).
8
Let u(r) = 5*r**2 - 5*r + 7. Let a(n) = n**2 + 1. Let v(k) = -4*a(k) + u(k). Let o = -41 - -53. Suppose -4*s + 20 - o = 0. Calculate v(s).
-3
Let z(l) = -263 - 4*l - 318 + 527. What is z(-11)?
-10
Let d(
|
{
"pile_set_name": "DM Mathematics"
}
|
factors of n?
2, 3, 41
Suppose p = -3*p. Suppose -44 = 4*m - p*m. Let a(v) = v**3 + 11*v**2 - 2*v - 5. What are the prime factors of a(m)?
17
Suppose 0 = -7*u + 656 + 163. What are the prime factors of u?
3, 13
Let v be 28/4*(-12)/(-14). Let u = 5 + -4. Let c = v + u. What are the prime factors of c?
7
Let w(t) = t**3 - 3*t**2 + 5*t - 2. Let i be w(3). Let j = i + -6. List the prime factors of j.
7
Suppose -m - 15 = 4*l, l + 4*l + 2*m + 21 = 0. What are the prime factors of l/((-6)/50) + 0?
5
Let n(i) = -6 - 2*i + 5 - 1. What are the prime factors of n(-3)?
2
Let d(j) = j**2 - 1. Let v(b) = 7*b + 5. Let h(g) = -d(g) + v(g). Suppose 5*a - 16 - 23 = -2*q, 25 = 5*a - 5*q. What are the prime factors of h(a)?
2, 3
List the prime factors of ((-1)/2)/(-1*(-6)/(-2016)).
2, 3, 7
Suppose 3*r + 2*p - 27 = 0, -r + 9 = -2*p - 8. Let h = r - -3. What are the prime factors of h?
2, 7
Let k(o) = 2 - 3 + 2 - 2 - 5*o. Let q be k(-6). Suppose -4*t + 19 + q = 0. List the prime factors of t.
2, 3
Let l(r) = r**3 + 5*r**2 + 3*r - 3. Let i be l(-4). Suppose 4*o + i = 9. Suppose -5*c = -4*b - b - 70, o*c + 2*b = 20. List the prime factors of c.
2, 3
Suppose -a + 381 = 3*z - 4*a, 0 = -2*z + 4*a + 244. What are the prime factors of z?
2, 3, 11
Let h(b) be the third derivative of b**6/120 + b**5/12 - b**4/4 - b**3/2 + 8*b**2. What are the prime factors of h(-5)?
3
Suppose -r + 54 = -0*r + t, 2*t = 3*r - 157. What are the prime factors of r?
53
Let o(q) = -q**3 + 5*q**2 + 5. Suppose 2*r - l = 9, 0 = 8*r - 3*r + 5*l - 30. What are the prime factors of o(r)?
5
Let k(v) be the second derivative of -3*v - 3/4*v**4 + 1/20*v**5 + 4/3*v**3 + 0 + 5/2*v**2. List the prime factors of k(8).
5
Let s = 1 + 3. Suppose -a + 0*a + 34 = s*c, -2*c + 24 = a. List the prime factors of a.
2, 7
Let x(s) = 2*s - 3. Let l be x(-3). Let d(i) = -4*i - 10. Let t be d(-7). Let n = t + l. List the prime factors of n.
3
Let g(a) = -10 + 10*a**2 + 4*a**2 - 11*a**2. List the prime factors of g(-4).
2, 19
Let r(m) = 3*m - 1. Let p be r(-3). Let v = -10 - p. Let y = v - -19. List the prime factors of y.
19
Let x(y) = y + 1. Let d be x(0). Suppose 0 = -3*j + 8 + d. Suppose -4*g + 5 = -j*v - 26, 5*g - 2*v = 30. List the prime factors of g.
2
What are the prime factors of (3 + (-30)/18)*(-2 - -50)?
2
Let u(p) = -p**2 - 10*p + 4. Let v(a) = -2*a**2 - 2*a + 2. Let h be v(2). Let l be u(h). List the prime factors of (l + -3)*(0 - -10).
2, 5
Let s = -7 + 7. Suppose -3*x + 4*t + 40 - 11 = s, -37 = -4*x + 5*t. Suppose y = x, -5 = -z + 5*y - 1. List the prime factors of z.
19
Let f(o) = -2*o**3 - 6*o**2 - o - 2. List the prime factors of f(-5).
103
Let y(p) = 2*p - 2. Let w(o) = 2*o**2 + 10*o - 9. Let q(a) = 5*a**2 + 20*a - 18. Let z(s) = -3*q(s) + 7*w(s). Let r be z(8). What are the prime factors of y(r)?
2, 3
Let o(z) = 2*z**2. Suppose -3*i + 3 = -6*i. Let g be o(i). Suppose g*s + 4 = 44. What are the prime factors of s?
2, 5
Let p be (1/(-2))/(2/(-44)). Let h = p + -6. What are the prime factors of h?
5
Suppose -10 = -x - x. Suppose -x*c = -10 - 0. Suppose 2*s + c*s = 20. List the prime factors of s.
5
Let t be 27/6 - (-15)/(-10). Let y = t + -4. List the prime factors of 4*((-15)/(-3) + y).
2
Let o(m) = m - 7. Let x(h) = -h + 4. Let s(n) = -6*o(n) - 11*x(n). Let u be s(6). Suppose j = -9 + u. List the prime factors of j.
19
Suppose 220 = -0*d + 4*d + 3*u, 5*u = -5*d + 275. What are the prime factors of d?
5, 11
Let k = 16 + -9. What are the prime factors of k?
7
Suppose 0 = s - 24. Suppose 0*a = 2*a - s. What are the prime factors of a?
2, 3
Suppose 2*u - 5*u = 33. Let r = u - -45. List the prime factors of r.
2, 17
Let l = 58 + -18. List the prime factors of l.
2, 5
Let f = -8 - -4. Let l = f - -8. What are the prime factors of l?
2
Suppose 6*d - 2410 = -4*d. What are the prime factors of d?
241
Let r(c) = -2*c - 2. Let x be r(-2). Let n = 7 + x. What are the prime factors of n?
3
Suppose -2*c = -4*c + 6. Suppose 3*i + c*r + 12 = 0, 2*i - 3*r + 8 + 0 = 0. What are the prime factors of i + 7 + 2 + -1?
2
Let o(j) = 3*j - 4. List the prime factors of o(3).
5
Let c = 1081 - 696. What are the prime factors of c?
5, 7, 11
Let u(r) = 434*r + 4. List the prime factors of u(1).
2, 3, 73
Let i(d) = d + 12. Let x be i(-5). Let g(j) = 5*j - 4. List the prime factors of g(x).
31
Let t = 648 + -356. List the prime factors of t.
2, 73
Suppose -2*v - 2*v + 8 = 0. Suppose 0 = h + h - 4. Suppose t + h = v*t. List the prime factors of t.
2
Let a(r) be the first derivative of 2*r**2 + r - 4. List the prime factors of a(4).
17
Let j = 19 - 15. Suppose 0 = -j*y - y + 85. What are the prime factors of y?
17
What are the prime factors of 10/(-12)*32*18/(-4)?
2, 3, 5
Suppose n + 0*p - 54 = 3*p, 0 = -n - 3*p + 36. What are the prime factors of n?
3, 5
Let k = 8 + -3. Suppose m - 27 + 3 = k*j, 3*j = -15. List the prime factors of (-156)/(-16) - m/4.
2, 5
Let i = 92 + -19. What are the prime factors of i?
73
Let w = -12 - -20. Suppose 2*b - 36 = w. What are the prime factors of b?
2, 11
Let j = 12 + 65. List the prime factors of j.
7, 11
Let y(s) = 4*s - 14. Let i(j) = 6*j - 21. Let z(t) = 5*i(t) - 7*y(t). Suppose -h = -5*h + 24. What are the prime factors of z(h)?
5
Suppose 0*m - 5*m + 230 = 0. Let r = 74 - m. List the prime factors of r.
2, 7
Suppose 2*i + 34 = 96. List the prime factors of i.
31
Suppose z + 13 = 39. Let y(t) = 4*t - 2. Let o be y(-4). Let c = o + z. What are the prime factors of c?
2
Let s = -134 - -291. What are the prime factors of s?
157
Let d be (-348)/9*(-3)/2. Suppose 2*u - 11 = -5*z, 4*u - z + 25 = d. What are the prime factors of -1 + (-4)/(u/(-6))?
2
Let b be 7/2 - 3/(-6). Let f(t) = 28*t**3 - 3*t**2 + 3*t - 1. Let c be f(1). Suppose -b*w + c = -1. What are the prime factors of w?
7
Let j = 0 + 3. Suppose 4*z = j*z + 4. Suppose 0*g + l = -z*g + 37, 3*g + 3*l = 39. What are the prime factors of g?
2
Let x(d) = -2*d**2 - 27*d - 4. Let c be x(-13). Let z(s) = 3 - 1 + 2 + 2*s. List the prime factors of z(c).
2, 11
Let n(c) = -c**3 - c**2 + 3*c - 4. Let o be n(-3). Suppose r = y + o, -3*y - 2*r - 11 = -r. List the prime factors of 2/y*-2*11.
11
Let j = -54 - -206. What are the prime factors of j?
2, 19
Let w be (-1 + 0)*(1 - -4). Let v = 9 - 6. Let s = v - w. List the prime factors of s.
2
Suppose -2*w + 10 = 3*m, -3*m - 28 = -2*w - 6. Suppose w*v + 25 = 3*v. What are the prime factors of (-15)/(-3)*(-9)/v?
3
Let c be (47 - 1) + (-1 - 0). Suppose 3*l - c = -0*l. List the prime factors of l.
3, 5
Let g = 24 + -19. Let b = 14 - g. What are the prime factors of b?
3
What are the prime factors of (-6)/9 - 465/(-9)?
3, 17
Let k(h) = -h + 3. Let d be k(0). Let g(o) = 3*o - 2. List the prime factors of g(d).
7
Let j be 4/(-18) + (-152)/(-36). Let i(b) = b. Let y be i(2). Suppose -68 = -j*r + 4*h, -y*r - h = 2*r - 48. List the prime factors of r.
13
Suppose d + k = 3, -3*k + 6 + 3 = 2*d. Let z = 2 + d. Suppose -6 = j + j, -z*w + 27 = -j. What are the prime factors of w?
2, 3
Suppose 5*f - 148 = -18. Suppose -m + 2*m = -3*x + 18, -f = -2*m + 4*x. What are the prime factors of m?
3, 5
Suppose 0 = t - 3*v - 324, -11*t + 7*t = -5*v - 1289. What are the prime factors of t?
3, 107
Let c(q) = -8*q - 21. What are the prime factors of c(-9)?
3, 17
Suppose -2 = -5*o + 73. Let s be (-3)/(3/(-8)) + -2. Suppose -s*c + o = -c. What are the prime factors of c?
3
Let o(y) be the third derivative of y**4/12 + y**3/6 + y**2. Suppose 2*g - 5*g + 3*b = -30, 5*g + 5*b = 0. List the prime factors of o(g).
11
Let b(d) = -d**2 - 7*d - 3. Suppose -12 = -3*s + 5*s. What are the prime factors of b(s)?
3
Let s(t) = -t + 7. Let x(k) = -2*k + 7. Let l(a) = 3*s(a) - 4*x(a). List the prime factors of l(5).
2, 3
Let x be (-4)/(-14) + 4/(-14). Suppose x = -4*p - 0*p. List the prime factors of p - (-2 + 1)*3.
3
Suppose 2*m - 189 = -m. Suppose -47 = -3*s - j, -2*s = 2*s + j - m. List the prime factors of s.
2
Let l be (-100)/(-15)*48/10. Suppose 2*i = -18 - l. Let q = -16 - i. What are the prime factors of q?
3
Let x(w) = 89*w**2 + 1. What are the prime factors of x(-1)?
2, 3, 5
List the prime factors of -12*(-4)/6*3.
2, 3
What are the prime factors of 12*(2/17 + (-549)/(-102))?
2, 3, 11
Let q be 67/(-5) + 12/30. Let c = 36 + q. List the prime factor
|
{
"pile_set_name": "DM Mathematics"
}
|
3*l**3 + l**2. Let p be d(1). Let q = -263 - -252. What is the second smallest value in q, p, -0.1?
p
Let u = -13 - -12.985. Let d = u - 0.285. What is the third smallest value in 2/11, d, -2?
2/11
Let n be (2/(-3))/(8 - 4). Let q = -28 + 17. Let r = q - -14. What is the second smallest value in r, -1, n?
n
Suppose 0 = -4*j - 0*j + 16. Let k(g) = -g + 3. Let z be k(5). Let f be z/2 + 22/18. What is the second biggest value in -2, f, j?
f
Suppose -25 = 5*y, 3*y = 4*w + 6*y - 17. Let o be 3/12*-6*w/(-102). Which is the second biggest value? (a) -1/3 (b) 0.5 (c) o (d) 2
b
Let s = 4 - 4. Let i = -0.432 + 0.732. Which is the biggest value? (a) s (b) 2 (c) i (d) -2/5
b
Let l = -574.5 - -574. Which is the fourth biggest value? (a) l (b) 4 (c) 0.7 (d) 2
a
Let h = -2356964 + 6575929193/2790. Let z = h - 1/558. Let q = 4 + -4.2. Which is the biggest value? (a) z (b) q (c) -0.02
c
Let g = -168 + 167.5. Which is the second smallest value? (a) -1 (b) 1/22 (c) g
c
Suppose 44*x = 54 - 10. Let k = 3 - 4. Let n(q) = -q**3 - q**2 - q. Let w be n(0). Which is the biggest value? (a) w (b) x (c) k
b
Let m = 213 - 215. What is the third biggest value in m, 0.1, -2.4?
-2.4
Let s = -2/2793 - 1852/13965. What is the fourth smallest value in -3/5, 0.1, s, 14?
14
Let i be (3 + -1)/((-10)/255*-3). Let w be i/6 + -3 - (-145)/(-30). Let o = 0.35 + 0.05. Which is the third smallest value? (a) 0.2 (b) o (c) w
b
Let q = 56 + -52. Let p = -5 + q. What is the second biggest value in -0.04, 3/4, p, 5?
3/4
Let f = 11 + -6. Let n = -0.31 + 0.81. Which is the fourth biggest value? (a) f (b) 3 (c) n (d) -2
d
Let k = 58 + -35. Let t = 39 - k. Let h be (-4)/t - 5/4. Which is the second biggest value? (a) 0.5 (b) 0 (c) h
b
Suppose 0 = 9*h - 15*h + 30. Suppose 6*x = x + 25, -4*x + 38 = 3*k. Suppose 2*l + k = 5*l. Which is the biggest value? (a) l (b) h (c) 13
c
Let l = 5.22 - 4.32. Which is the smallest value? (a) -0.3 (b) l (c) -0.5
c
Let w = -8 - -7.7. Let y = -271 + 273. Which is the third biggest value? (a) y (b) w (c) -3
c
Let g = -1.3 + 1. Let y = g - -0.2. Let c = -329/1745 - 4/349. What is the second biggest value in c, y, 2?
y
Let i = 2 - -35. Let y = 36.5 - i. Suppose 2*m - 3 = 3*k - m, 0 = -2*m - 4. What is the smallest value in k, 0.4, y?
k
Let o = 1 + -1.2. Let s = 0.9 + 0.1. Let l = -3555/8 + 10649/24. Which is the smallest value? (a) l (b) s (c) o
a
Let l = -2.3 + -0.4. Let m = l + 3.7. What is the smallest value in m, 5, 4?
m
Let g = -23.6 + 23.2. What is the smallest value in -31.9, 2/3, g?
-31.9
Let p = 671/225 - 69/25. Which is the smallest value? (a) -0.116 (b) -0.2 (c) p (d) 0.5
b
Let r = 313 + -309. What is the third biggest value in -28, 2/3, r?
-28
Let w = 0.2438 - 0.1238. What is the third biggest value in w, -0.3, -2/7, -4?
-0.3
Let y = 0.218 + 4.782. Which is the second smallest value? (a) -0.4 (b) -2/9 (c) y
b
Let d = 703.8 - 704. Let y = -4.7 - -5. What is the second smallest value in y, 5/3, d?
y
Let p = 0.285 - -0.215. What is the fourth smallest value in 1, p, -141, 5?
5
Let g = 462.83 + -463. Which is the second biggest value? (a) 2/11 (b) g (c) 0.4 (d) 3
c
Let y be (-20)/(-4)*(-3 + (-152)/(-40)). Let w = -3 - -5. What is the second smallest value in -0.3, y, -4/3, w?
-0.3
Let c = 189 + -188. What is the fourth biggest value in 0.1, -3, c, 0?
-3
Let c = -25 + 26. Let z be -8 + 7 - (c - 5). What is the biggest value in 0, 1/6, z?
z
Let z = -33.9 + -4.1. Let m = 34.9 + z. Let h = m - 0.9. Which is the third smallest value? (a) 4 (b) h (c) 3
a
Let l = 321/88 - 36/11. Let c = 27/20 + -8/5. What is the third smallest value in 0.1, l, c, 4?
l
Let z = 548 - 3289/6. What is the smallest value in 2, z, -7?
-7
Let q = 5.0784 + -0.0784. What is the second smallest value in -0.01, q, 0.2, 3?
0.2
Let r = -5.011 + 0.011. Let v = 0 + 0.4. Let h = v + -0.5. Which is the biggest value? (a) -1/6 (b) r (c) h
c
Let t be 0*3/6*-2. Let q be (-4 - (171/11)/(-3)) + -1. Which is the second smallest value? (a) 5 (b) -4 (c) t (d) q
c
Let l = -6.1 + 32.1. Let f = l + -24.9. Let v = f - 0.8. What is the second smallest value in 3/5, 2, v?
3/5
Let k = 34 - 5. Let z = 29.3 - k. Let i = -2 + 10. Which is the third biggest value? (a) i (b) z (c) -3/5
c
Let y = -7 - 1. Let n be (-28)/(-7) + -1 + 22/y. What is the smallest value in n, -4, 0.9?
-4
Let n be 1/(6 - 1)*70/(-4172). Let y = -585/3278 + n. Which is the third biggest value? (a) -4 (b) 4 (c) -0.4 (d) y
c
Let x(r) = 35*r - 484. Let u be x(12). Which is the biggest value? (a) u (b) 0.04 (c) -3
b
Let q = -0.7 + 0.3. Let g = -2.12 - 1.88. What is the smallest value in 1/3, 0, g, q?
g
Let z = -6824/30789 - 2/3421. Let j(u) = u**2 - 2*u - 1. Let y be j(3). Which is the second biggest value? (a) z (b) y (c) 1
c
Let w = -12 - -8. Let l = w - -6. Let g = l - 2. What is the second smallest value in g, 4, -0.1?
g
Let i be (12/(-40))/((-27)/(-12) - 3). Let n(w) = -2*w - 4. Let p be n(-2). What is the second smallest value in p, i, 0.9?
i
Let y(n) = 2*n - 1 - 3*n**3 + 7*n - 7*n. Let r be y(2). Let g be 2/(-10) + r/105. Which is the second smallest value? (a) -0.9 (b) 0.2 (c) g
c
Let u = 68.5 - 68.8. Which is the second biggest value? (a) 0.04 (b) 0.4 (c) -2 (d) u
a
Let l be -3 - (108/42 + 1)*-1. Let h = 6 - 2. What is the biggest value in -0.5, l, h?
h
Let t = 30/13 + -47/26. Let x = -8.4 - -9.4. Which is the smallest value? (a) x (b) 1/8 (c) t
b
Let n = 0.67 - -7.33. What is the third smallest value in -2, -0.2, n?
n
Let t = 0.05 - -0.03. Let w = -54 + 54.5. What is the third smallest value in t, 2/5, w?
w
Let t = 9.4 + -2.9. Let r = t - 6. What is the smallest value in 0.2, r, 5?
0.2
Let h = -499 - -4489/9. Which is the second biggest value? (a) -83 (b) h (c) 0.5
b
Let r = -216 - -215. Which is the biggest value? (a) -3 (b) 145 (c) r
b
Let v = -2/513 - -2066/3591. Which is the second biggest value? (a) 4 (b) v (c) 5 (d) 0.8
a
Let q = -13 + 14. Let o = -4 + 3.9. Which is the second biggest value? (a) o (b) 7 (c) q
c
Let w be 7 - (-6)/(-3 - -1). Let j be 0 - 2/8*w. Which is the biggest value? (a) j (b) -1/2 (c) -0.3
c
Let n = 10.46 + -9.8. What is the second biggest value in n, 0.3, 0?
0.3
Suppose -4*x - 436 = 4*k, -3*x + 63 - 408 = -3*k. Which is the smallest value? (a) -0.1 (b) -3 (c) x
c
Let q = -0.5 + 0.4. Suppose -2*o + w = 2 + 18, 3*o - 5*w + 30 = 0. Let u be o + 6 + (-2)/(-1). Which is the biggest value? (a) u (b) q (c) -2/13
b
Let w = 6.1 - 3.4. Let g = w - 2.6. What is the fourth smallest value in -4, 0.01, 2/3, g?
2/3
Let x be (10/(-15))/((-88)/72). What is the second biggest value in 1/5, x, 0.9, -1/8?
x
Let m be 30/3*4/112*4. Which is the third biggest value? (a) -3 (b) -1/2 (c) m
a
Let i = -195.5 + 195. Which is the third smallest value? (a) -6/11 (b) -5 (c) i
c
Let w = -1.76 + 1.8. Let v = -2 + 2.3. Which is the second smallest value? (a) w (b) 3 (c) v
c
Let y = 1013.3 + -1013. Suppose 4*l = 5*l + 8. What is the smallest value in 5, 1/2, y, l?
l
Let f = 1239/5 - 248. What is the fourth smallest value in 3, 0.5, f, -6/11?
3
Let q = 154/5 + -1068/35. Let i = -27/2 - -14. Which is the second biggest value? (a) -2/15 (b) -0.3 (c) q (d) i
c
Let w = 188 - 761/4. What is the smallest value in w, -0.5, 2, -0.1?
w
Let f = -11.3 - -10.8. Which is the biggest value? (a) 2 (b) 0.5 (c) 0 (d) f
a
Suppose j = -2 + 4. Let s = 1217/2807 + -2/401. Let h be (-6)/(-2)*31/186. Which is the second biggest value? (a) j (b) s (c) h
c
Let d be (-45)/(-828)*20 + (-1 - 0). Let m = 2.6 - 2. Let n = -4.4 - m. Which is the biggest value? (a) n (b) d (c) 4
c
Let w = -76/259 + 2/259. Let r = 91 + -54.2. Let s = 37 - r. Which is the second biggest value? (a) w (b) 0.4 (c) s
c
Let a = -46 - -42. What is the biggest value in a, 1/6, -35?
1/6
Let v = 18619 - 18618.6. Let t = -16.1 - -0.1. Which is the smallest value? (a) t (b) -5 (c) v
a
Suppose -25 = 3*z - 8*z. Suppose 0 = 2*y - 5*s + 2, -3*y + 20 = -z*s + 9*s. Which is the third biggest value? (a) -2/11 (b) -5 (c) y (d) -0.1
a
Let x = 5 - 8. Let d = 15 - 11. What is the third biggest value in x, -3/7, -5, d?
x
Suppose -9*n + 17 + 1 = 0. Suppose -n*y + 4*w - 14 = 2*w, -
|
{
"pile_set_name": "DM Mathematics"
}
|
of ((-3)/(-2) - 3/4)*2?
3/2
Calculate (2 - (-12)/(-3))/((-98)/(-28)).
-4/7
What is -5 - 147/(-30) - 13/70?
-2/7
Calculate (2 - (-28)/(-8))/(2/4).
-3
What is the value of (1 - 24/9)/(6/(-18))?
5
(642/66 + -10)/(4/(-22))
3/2
-3*(-40)/(-90) - -1
-1/3
Evaluate (-19 - -20)*2/1.
2
What is the value of 0 + (-28)/(-16)*(-11)/154?
-1/8
What is (1/(-2 + 29/14))/8?
7/4
Evaluate ((-72)/64)/(-9)*-6.
-3/4
What is 5 - ((-24)/28)/((-30)/140)?
1
28/8 + -4 - (-5)/4
3/4
((-1)/(-6))/(15 - (-1365)/(-90))
-1
What is the value of 10/95 + (1 - 405/57)?
-6
Calculate 5/15*-3 - (1 - -2).
-4
What is (-19 + 14)*(-3 - 2*-1)?
5
What is the value of -4 + -6 + 1 - -6?
-3
Evaluate 1/(-6)*(6/4 - 0).
-1/4
Calculate (2/(-6))/(4/(36/39)).
-1/13
Evaluate 288/1584 - (-2 + 46/11).
-2
(35/(-10) + 3)/(2/4)
-1
What is the value of 1 + (36/15)/(-6)?
3/5
What is (8/28)/(-1) - (-256)/308?
6/11
Calculate ((-16)/10)/2 + 18318/20235.
2/19
Evaluate ((-3)/12)/((-437)/(-184)).
-2/19
What is the value of (-2 - (-33)/12)/3?
1/4
What is the value of 378/294 + 0 + (-1)/1?
2/7
Calculate 374/(-165)*5 + 11.
-1/3
What is ((2 + 0)/(-2))/((-26)/182)?
7
What is ((-3)/(-27))/(-5 + (-145)/(-30))?
-2/3
What is 2*18/(-60)*(-7 - -17)?
-6
What is (-1 - 4)*(-6)/60?
1/2
Calculate (2/(-4) - -1)/(4/56).
7
Calculate (7 - 3) + 10*3/(-9).
2/3
What is the value of 4/((-5 - -2) + 1)?
-2
Evaluate (-5)/6*7/35.
-1/6
Calculate (-50)/60 + 14/12.
1/3
8/(-14 - -6) + (-6)/(-5)
1/5
What is 9/24 - (-1 + (-70)/112)?
2
What is (1*-1)/((-27)/135)?
5
(1056/(-144))/(2/3)
-11
What is the value of -1 - 2*(-6)/70*5?
-1/7
What is 126 + -124 - 5*-1?
7
What is (14/(-21))/((-1)/(-6))?
-4
What is the value of (2/(-12)*3)/2?
-1/4
11 - 3 - (4 + 0)
4
1/(-6)*(-1)/(-1)
-1/6
What is the value of 63/6*(-20)/90?
-7/3
What is the value of (1/(-1) + (10 - 13))/2?
-2
Calculate 8 - (-20 + 11 - -13).
4
Evaluate 15 + (-59 - 7)/11.
9
(-1 - 4/(-3))*(-5 + -1)
-2
What is (-4 + (-2 - -7))/(1 + -11)?
-1/10
What is the value of 6 + (95/38 - (-42)/(-4))?
-2
What is the value of 1/2 + (-13)/26?
0
What is the value of 0*(24/(-30) + (-1)/5)?
0
What is the value of (-7 + 8)/(-1) - 3/(-5)?
-2/5
(-222)/(-48) + 18/48
5
What is the value of 0 + -6*6/(-90)?
2/5
What is 6/(-3) + 25/(75/18)?
4
(6/4)/((9/(-8))/3)
-4
What is the value of -2 - (-5 + (-36)/(-16))?
3/4
Evaluate (0 + -1)/((-3 - -7) + -3).
-1
Calculate ((-3)/24)/((-1)/(-2))*-2.
1/2
What is the value of (-36)/(-156)*((-3 - -13) + 3)?
3
(1 - 3/(-6))/9
1/6
What is the value of 15/(2*-60) - 62/(-240)?
2/15
Calculate 1 - 637/520 - 9/24.
-3/5
What is the value of 52/390*-9*(-10)/(-21)?
-4/7
Evaluate 4 + 0 + ((-3)/1 - 2).
-1
Calculate (70/21 - 4)/(-11 - -9).
1/3
What is the value of (2 - -1) + ((-8)/32 - 2)?
3/4
What is 6/14 + ((-5200)/1190)/8?
-2/17
Calculate -2 - ((-188)/36 + 3).
2/9
(2/12*4)/(-2)
-1/3
What is 170/42 + (-14)/294?
4
What is (8/6)/((-338)/(-39))?
2/13
Calculate 112/(-140) - (-63)/(-15).
-5
What is the value of (-84)/(-36) - (-4)/6?
3
Calculate -1 - -6 - 48/9.
-1/3
Evaluate -10 + 1 - (-5985)/630.
1/2
Calculate -2*(63/14 + -3) - -8.
5
What is the value of 6/((-180)/(-70))*3?
7
Evaluate (-3)/((-18)/4) + (-1183)/1014.
-1/2
What is the value of ((-46)/69)/((-3)/(-6))?
-4/3
What is (-2)/(-3)*3/1?
2
Evaluate -2*1 - (-35)/28.
-3/4
Calculate ((-12 + 13)*(-1 + -3))/1.
-4
What is 1 - ((-1)/((-18)/4) + 1)?
-2/9
Evaluate (1/5 - 140/(-175))*-7.
-7
2 - 3 - ((-44)/(-6))/11
-5/3
What is ((-2 - -4) + -3)/(12/48)?
-4
Calculate (1/(-2))/((-2)/28).
7
What is (8/(-24))/(-3 + 2)*9?
3
Evaluate -1*((-4)/16*2 + 0).
1/2
What is the value of 1 + -2 + 6/14?
-4/7
What is 7/6*28/(-343)*-7?
2/3
Calculate (3/(3/2))/(7 - 2).
2/5
What is the value of 180/35 - 3/21?
5
What is the value of (2 - (-2 - -5)) + (-15)/(-17)?
-2/17
Evaluate 2/(-9)*1 - (-48)/135.
2/15
What is the value of 910/(-63)*(-7)/(-14) - -7?
-2/9
Evaluate 671/(-122)*(-4)/11.
2
3*(5 + 26/(-6))
2
What is ((-3)/(-7)*1)/(-1)?
-3/7
Calculate (1 - 12/3) + (-15)/(-30).
-5/2
Calculate -9*(280/150 + -2).
6/5
Evaluate 0*12/132 - (-8)/(-3).
-8/3
Evaluate 6/(-8)*(-44)/198.
1/6
Evaluate 1 + 0*5/(6 + 4).
1
29/6 - (-28)/(-7)
5/6
Evaluate 6*(-6)/(-24)*(-2)/12.
-1/4
Calculate -14 - (11 + -18) - 1*-3.
-4
Evaluate 1/(-4)*(-18 - (-3 + 1)).
4
Evaluate 576/(-80) + 8/1.
4/5
(-636)/(-795) - (8/(-10))/(-1)
0
Evaluate (3/(-3))/(2*(-10)/140).
7
-4*(-2)/16*-10
-5
What is the value of 246/41 - 1*5?
1
What is the value of (-1)/((-12)/7) - 9/36?
1/3
Calculate (162/(-26) - -6)/((-3)/(-2)).
-2/13
What is 26/8 + 39/52?
4
Calculate (-2365)/(-129)*(-3)/(-5).
11
What is the value of 7/(-14) - 14/(-4) - 1?
2
What is the value of (-152)/56 + -1 + (-25)/(-35)?
-3
What is the value of 465/(-65) - (-9 - 1 - -3)?
-2/13
Calculate (10 + -9)/(4/2).
1/2
(-2 + 470/245)*7/(-2)
2/7
(-1)/(((-9)/(-6))/((-36)/(-24)))
-1
What is the value of -5 + -2 + 2/1 - -3?
-2
Calculate ((-159)/51 - -3)*1.
-2/17
Calculate ((-85)/(-22) - 4)/((-81)/(-108)).
-2/11
What is the value of (-3 - -2 - -1)*(-68)/68?
0
What is the value of -16 + 18 + 4/(-8)?
3/2
Evaluate 3/2*(-5 + 3).
-3
Calculate ((-1)/(-6 - (-2)/(-1)))/2.
1/16
5/(-10)*6 - -1
-2
Calculate (2*(-5)/25)/((-40)/150).
3/2
What is 4*(-1)/5 - (-4)/10?
-2/5
What is -7 - -9 - 8 - 16/(-3)?
-2/3
2 + (-160)/26 + 4
-2/13
Calculate (-30)/7 + (12/(-42))/(-1).
-4
What is the value of (147/(-98))/(0 - (-1)/2)?
-3
Calculate 0/(6/(24/(-20)) + 4).
0
(-3)/((-24)/(-4))*(-4 - 0)
2
What is the value of 26/7 + -1 + -3?
-2/7
1 - 16/(-4) - (-703)/(-133)
-2/7
Calculate 1/3*228/(-76).
-1
What is the value of ((-65)/(-20) + -3)*-3?
-3/4
14/3*((-5)/7 - -1)
4/3
What is the value of 6/36 - 31/6?
-5
Calculate 14/(-49) - (282/189 - 2).
2/9
Evaluate (-15)/(-36)*(-39)/(-65).
1/4
What is (11 - (-393)/(-36))/(2/4)?
1/6
Evaluate 135/63*1*4/(-10).
-6/7
Calculate 688/576 + 3/(54/(-8)).
3/4
Evaluate (2/21)/((-200)/(-56) + -4).
-2/9
What is the value of (2/10)/(-11 + (-226)/(-20))?
2/3
Evaluate 784/160 - (1 - -4).
-1/10
Evaluate ((-25)/(-3))/((-42)/(-18)) - 4.
-3/7
Calculate ((-9)/3)/(-3) - (27 - 28).
2
Evaluate (2 + -6)*(-1)/1.
4
Calculate (-1012)/(-368) + ((-10)/(-8) - 1).
3
Evaluate (2/10)/(-10 + 3266/345).
-3/8
Evaluate ((-4)/21)/((-3)/((-81)/(-18))).
2/7
What is 1*-6 - 3344/(-572)?
-2/13
((-20)/25)/(-6 + (-592)/(-100))
10
Calculate 2/(4*(-12)/(-32)).
4/3
What is ((-20)/350)/((-4)/(-20))?
-2/7
Calculate 175/45 - 5/(-45).
4
What is the value of (-4)/(-8) - 10/36?
2/9
Calculate (-137)/(-2466) + (-143)/(-18).
8
Evaluate (-1 - -5)/((-5)/((-20)/8)).
2
Calculate (-7)/(-28) + 4 + 110/(-24).
-1/3
Evaluate (-3)/(45/(-96)) - (-2 + 8).
2/5
Evaluate ((-58)/140 - 13/(-26))*5.
3/7
What is ((-80)/96)/((-10)/3)?
1/4
Calculate 11/9 - (-20)/(-90).
1
Calculate (-26)/(-65) + (-17)/5.
-3
What is 1 + 0 + (-14)/7?
-1
Evaluate 3 + 3/21*-11 + -2.
-4/7
(-2 + 1)*(-1)/(12/(-6))
-1/2
What is the value of 9/(-24)*-4*(-40)/12?
-5
Evaluate 357/28 + -12 - 3/4.
0
-7 - -7 - 12/16*4
-3
(-444)/(-264) + (-4)/22
3/2
-40 - -46 - (-34)/(-6)
1/3
What is the value of -7 - (13 + -6 + -7)/1?
-7
Calculate -1*((-24)/16 - 14/(-12)).
1/3
What is (-3 - -23)/(-4)*1?
-5
Evaluate (-54)/15*(15/(-2))/3.
9
What is ((-3136)/(-42))/16 - (8 + -1)?
-7/3
What is the value of ((-76)/1140)/((-2)/6)?
1/5
Calculate ((-255)/12)/5 + 3/(-4).
-5
What is (2/2)/(1/7)?
7
What is the value of 5 - (-85)/(-15) - 2/6?
-1
Calculate (-20)/35*42/12.
-2
(5/4)/(5 + 21/(-4))
-5
1/(-2) + -14*(-2)/88
-2/11
What is (0 - 6) + 1240/200?
1/5
What is (-6)/9 + (1 - (-14)/12)?
3/2
Calculate (0 - (-5 + 7)) + 4/1.
2
(-10)/6 + (-2)/6 + 3
1
What is the value of (6 - (-4)/12*-3) + -10?
-5
What is the value of -9 - ((-33)/8 - 10/(-80))?
-5
What is -1*(-7)/(-49) + (-4)/14?
-3/7
232/38 - (-11 + 633/57)
6
What is (-1 - 12 - -13)/(-3)?
0
Calculate (-4)/(-3) + (-280)/(-105).
4
(6/(-8))/(6/(-40))
5
What is (-513)/108 + (-3)/(-4)?
-4
What is the value of 0 - ((-18)/15)/(4/(-10))?
-3
Evaluate -1*(-1 + -3 + 5).
-1
Calculate 1*(-4)/(-36)*(-3 - -5).
2/9
What is (-2)/(-12) - (1150/(-420))/23?
2/7
What is the value of -10*(-6 + 66/12)?
5
What is the value of (-1 + 1 - 0)/(-4 + 3)?
0
(6 + (-3)/(-2))*(-2)/12
-5/4
What is the value of 2*((-4)/2 + 4)?
4
((-4)/2)/(38/(-95))
5
What is (-7)/((-12)/(-28)*35/15)?
-7
What is (-2 - 0 - (-5 + 0)) + -1?
2
What is -3*5*(-6)/495?
2/11
Calculate (119/(-14) + 8)*4.
-2
What is the value of ((-3
|
{
"pile_set_name": "DM Mathematics"
}
|
atest common factor of 67951 and g?
13
Suppose 0 = -88*s - 2382 + 3438. Let z = 8 - -25. Calculate the highest common factor of z and s.
3
Suppose -17*c + 18*c - 5 = 0. Suppose 0 = c*o - 174 - 51. Calculate the highest common divisor of 10 and o.
5
Suppose -7*i + 19*i + 36 = 0. Let s be 14 - 3/1*(-2 - i). Calculate the highest common divisor of s and 187.
11
Let v be (-349)/(-3) + (-1)/3. Suppose -4*y - 5*d = -211, 22*y + 3*d = 18*y + 205. Suppose 3*u - 136 = -y. What is the highest common divisor of v and u?
29
Let z(p) = 23*p**2 + 4*p + 2. Let r = 1 - 3. Let w be z(r). Suppose 170 = 2*m + 171*v - 167*v, 107 = m + v. Calculate the highest common factor of w and m.
43
Let t(l) = -l**3 + 6*l**2 - 3*l - 1. Let k be t(5). Let b be ((-4)/(-8))/(10/780). What is the highest common factor of k and b?
3
Suppose s = -s + 4*j + 12, 68 = 4*s + 3*j. Let v(r) = 3*r**2 - 21*r + 109. Let f be v(8). What is the highest common factor of f and s?
7
Let r(b) = 4 + 17*b**3 + 0 + 1281*b - 1276*b + 2*b**2. Let y be r(4). Calculate the greatest common divisor of y and 88.
88
Let n be (-4)/((-10)/5)*-2. Let r be (-132)/n + (-4 - -1). Let z = r + -26. Calculate the greatest common factor of z and 56.
4
Let t be (50/4)/((-2)/(-12)). Let p(r) = -121*r - 1689. Let x be p(-14). What is the highest common factor of x and t?
5
Suppose 33*n - 54*n = -26*n + 3105. Calculate the greatest common factor of n and 1081.
23
Suppose 2*h + 105 = 5*h + 3*s, 0 = 3*h - 5*s - 81. Let b = -21 + h. Calculate the greatest common divisor of 253 and b.
11
Suppose 3*f - 31 = 29*g - 33*g, -2*f - 4*g = -22. Calculate the highest common factor of f and 114.
3
Suppose 269*d = 2241667 + 13054480. What is the greatest common factor of d and 101?
101
Let r be (12/3 - 2529/3) + -5. Let f be (-2)/15 + r/(-30). Calculate the highest common factor of f and 1372.
28
Suppose -3*k + 5*k - 7324 = 5228. What is the highest common factor of 48 and k?
12
Let j be (29 + -5)/(-6) - -8. Let i be (-3 + -25)*j/(8/(-1)). What is the highest common divisor of i and 294?
14
Let r = -130 - -110. Let m be (-72)/r + -4 - 222/(-5). What is the greatest common factor of 11 and m?
11
Suppose -4*m + 374 + 1558 = 0. Let v(z) = -z**2 - 13*z - 19. Let s be v(-8). What is the greatest common factor of s and m?
21
Let d = -297 + 496. Suppose 5*g - 251 = d. Calculate the highest common factor of g and 18.
18
Suppose 36*z - 1521 = 10071. Calculate the highest common divisor of 14 and z.
14
Suppose 0 = -148*w + 186*w - 134596. What is the greatest common divisor of w and 92?
46
Let c be 21/(-63) - 356744/(-24) - (3 + 1). What is the greatest common factor of 20 and c?
20
Let x = 1733 - 1649. Let s = -3 - -59. What is the greatest common factor of x and s?
28
Let o(q) = -q**3 + 81*q**2 - 125*q - 2572. Let u be o(79). Let p(k) = 15*k**2 - 3*k - 4. Let s be p(-3). Calculate the greatest common factor of u and s.
35
Let m be -11 - ((-20870 - -1) + (32 - 29)). What is the highest common factor of m and 430?
215
Suppose 4*g - 1112 = -8*v, -31 = 3*v - 5*g - 396. What is the highest common factor of v and 365?
5
Suppose g = 2*h - 8909, -h - g + 6*g + 4477 = 0. Suppose -18*n + 6*n = -h. Calculate the greatest common factor of n and 106.
53
Suppose 0 = 50*r - 92068 - 326182. What is the greatest common factor of r and 717?
239
Suppose -2*w + 703 = 3*o, -2*w + 15 = w. What is the highest common factor of 297 and o?
33
Let u(n) = -2*n**2 - 6*n + 1663. Let o be u(-29). What is the highest common factor of o and 496?
31
Let j be -14*(8 + (-378)/45 + 2430/(-175)). What is the greatest common divisor of j and 2675?
25
Suppose 25508 + 22452 = 88*h. Calculate the greatest common factor of 10 and h.
5
Let v be 2 - -2 - 2/1. Suppose -l + 3*x = -12, 6*x - v*x + 93 = 5*l. Let p = 32 - 11. What is the greatest common divisor of p and l?
21
Suppose -33*j + 10*j = 58*j - 243. Let q be -9*((-2)/(-1) + -5). What is the greatest common factor of q and j?
3
Suppose -24*z + 5152 = 1120. Suppose -252 = -42*m + z. What is the greatest common divisor of m and 530?
10
Suppose 0 = -4*t - 3*d + 2, 2*d - 2 - 2 = -4*t. Suppose -78 = -p + t. What is the greatest common factor of p and 20?
20
Let j be ((-219)/2)/(11/(-220)). What is the highest common divisor of 390 and j?
30
Suppose 145*d = 174*d - 87. What is the greatest common divisor of 411 and d?
3
Let k be 5/((-40)/(-3)) + 51877/(-56). Let s = -722 - k. Calculate the greatest common divisor of 36 and s.
12
Let h = -454 + 766. Suppose -16*j - h = -1032. What is the highest common factor of 27 and j?
9
Suppose -5*s + 132*l + 14799 = 129*l, 5*s - 14815 = -5*l. Calculate the highest common divisor of 126 and s.
63
Let t(j) = -j**3 - 14*j**2 - 21*j - 34. Let u be t(-9). Let n be (8100/u)/(1 - 13/10). What is the greatest common divisor of 12 and n?
12
Let d(l) be the third derivative of -l**4/2 + 7*l**3/3 + 16*l**2. Let n be d(5). Let c = n - -91. What is the greatest common divisor of 9 and c?
9
Let v = -5343 - -5389. Calculate the highest common factor of v and 1817.
23
Let s(h) = -10*h - 5. Let r(p) = 140*p + 70. Let a(m) = -4*r(m) - 55*s(m). Let o be a(-2). Calculate the highest common factor of o and 5.
5
Let n = -570 + 766. Suppose -6*y + 38 = -n. Calculate the highest common factor of 91 and y.
13
Suppose 5*l - 2*m = 74, l - 4*m + 148 = 134. What is the highest common divisor of l and 6828?
6
Let x be (-1470)/(140/(-63) - 8/(-36)). What is the highest common divisor of 525 and x?
105
Suppose 11*g = 12*g - 4*n - 179, g - 151 = -3*n. Let k = -125 + g. Calculate the highest common divisor of k and 2.
2
Suppose 166 = 7*v - 338. Suppose -79*a + 112 = -v*a. Let w = 227 - 115. Calculate the greatest common factor of w and a.
16
Suppose 0 = 15*i - 15*i + 13*i - 13572. What is the greatest common factor of 72 and i?
36
Let u = 178 - 431. Let k = -181 - u. Calculate the highest common divisor of k and 126.
18
Let i(q) = q + 1. Let b(s) = -58*s - 18. Let p(d) = -b(d) - 5*i(d). Let j be p(15). Let g be j/14 + 6/63*3. Calculate the highest common divisor of g and 145.
29
Let g be -1*((-4)/(-8) + 1/(-2)). Suppose g = 9*j - 323 + 188. What is the highest common factor of 165 and j?
15
Let j(n) = -42*n + 232. Let s be j(4). What is the greatest common divisor of s and 13280?
32
Let n = 120 - 37. Let a be ((-16)/6)/(3 - n/27). Let y be (0 + 3)/((-8)/(-24)). Calculate the highest common factor of y and a.
9
Let z = -101 - -104. Suppose -5*i = 2*r - 330, -5*r - z*i = -1183 + 377. Calculate the greatest common divisor of r and 20.
20
Let q be -2*4546/(-8) - (58/4)/29. Calculate the greatest common factor of q and 56.
8
Suppose 625*p - 275*p + 289*p = 23004. Suppose -1 + 15 = 2*u. Let d(j) = 13*j - 1. Let r be d(u). What is the greatest common divisor of p and r?
18
Suppose -336687 + 37772 = -313*p. What is the highest common factor of p and 40?
5
Suppose -660 = 5*o - 5*u, 119 = -4*o - u - 434. Let f = 839 + o. What is the highest common divisor of 54 and f?
54
Let k = 7915 - 5707. Calculate the greatest common factor of 864 and k.
96
Let t = -416 - -411. Let d(r) = -r**2 - 20*r - 69. Let g be d(t). What is the highest common factor of g and 78?
6
Let d(w) = -w**2 + 3*w - 177. Let t be d(0). Let x be (-8)/24*t + 0/(-1). Calculate the highest common factor of x and 531.
59
Let j(c) = -60*c - 2473. Let o be j(-67). What is the highest common factor of 455 and o?
91
Let u(z) = 61*z + 4062. Let t be u(-13). Calculate the highest common divisor of 14 and t.
7
Let r = -1626 + 1696. Let y(d) = d + 10. Let c be y(0). Calculate the greatest common factor of r and c.
10
Suppose 0 = -13*t - 3*t + 64. Let z be (-102)/4*(t + 36/(-6)). What is the highest common divisor of z and 102?
51
Let t = -77 + 117. Let k = 42 - t. Let u = 8 - k. What is the highest common factor of u and 24?
6
Let b = 4440 + -4404. What is the highest common divisor of b and 3042?
18
Suppose 340*a = 231617 + 505163. Calculate the greatest common divisor of 2561 and a.
197
Suppose 175 = 4*q + 21*q. Suppose -595 = -288*g + 283*g. What is the greatest common divisor of g and q?
7
Suppose -702*q = -700*q - 128. Calculate the greatest common divisor of 212 and q.
4
Suppose 1192 = 5*a + 3*s, 0 = -2*a + 5*a + 2*s - 716. Suppose 5*o - 139 - a = 0. Calculate the highest common
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from {x: 4, w: 1, b: 2}. Give prob of sequence wxb.
4/105
Calculate prob of sequence sdv when three letters picked without replacement from {y: 3, z: 1, v: 2, d: 6, s: 5}.
1/68
Calculate prob of sequence eeu when three letters picked without replacement from {e: 2, u: 2, s: 1}.
1/15
Two letters picked without replacement from ncnrnonnnnnyyyyyryn. What is prob of sequence on?
1/38
Calculate prob of sequence zlh when three letters picked without replacement from {h: 1, l: 4, z: 3}.
1/28
Two letters picked without replacement from wwcccywcccscwwsycccs. What is prob of sequence cs?
3/38
Calculate prob of sequence zhe when three letters picked without replacement from hoeehztehehh.
1/66
Calculate prob of sequence kpo when three letters picked without replacement from mpklpmmpppolmpm.
1/455
Three letters picked without replacement from {g: 1, e: 1, b: 3, s: 2, k: 1, q: 3}. What is prob of sequence qsg?
1/165
Calculate prob of sequence uu when two letters picked without replacement from guegueuzeuguau.
15/91
Four letters picked without replacement from {t: 2, l: 7}. Give prob of sequence lltt.
1/36
Two letters picked without replacement from yfysffyfyffsjhyjjse. What is prob of sequence ej?
1/114
Two letters picked without replacement from biici. What is prob of sequence ic?
3/20
Calculate prob of sequence ynn when three letters picked without replacement from {n: 2, z: 1, y: 4}.
4/105
What is prob of sequence oao when three letters picked without replacement from aaoaaaaoaoo?
14/165
Three letters picked without replacement from {c: 1, i: 1, o: 2, n: 1, m: 1, v: 1}. Give prob of sequence cnv.
1/210
Four letters picked without replacement from ryffrfyxyyybyfy. What is prob of sequence rbfr?
1/4095
Two letters picked without replacement from uyetuquuuzqqu. Give prob of sequence yq.
1/52
Four letters picked without replacement from {t: 7, g: 3}. Give prob of sequence ttgt.
1/8
Three letters picked without replacement from czczzcccccccczcczzz. Give prob of sequence zcz.
28/323
Three letters picked without replacement from {k: 9, s: 2, w: 8, h: 1}. Give prob of sequence swk.
2/95
Four letters picked without replacement from wwgjxjcxwqxggxwwwxq. Give prob of sequence gwgw.
5/2584
Two letters picked without replacement from {s: 1, f: 6, h: 2, p: 2}. What is prob of sequence fh?
6/55
Three letters picked without replacement from {p: 2, b: 3, f: 4, y: 3, k: 4}. What is prob of sequence fpf?
1/140
What is prob of sequence dt when two letters picked without replacement from gdhthd?
1/15
Two letters picked without replacement from ssscsscs. What is prob of sequence sc?
3/14
Three letters picked without replacement from cjcgjjgckkcc. What is prob of sequence jkc?
1/44
Calculate prob of sequence sw when two letters picked without replacement from nswwsww.
4/21
Two letters picked without replacement from {r: 4, y: 4, t: 4, b: 3}. Give prob of sequence by.
2/35
Calculate prob of sequence tzpz when four letters picked without replacement from {p: 1, i: 1, z: 4, t: 8, n: 1, u: 1}.
1/455
Calculate prob of sequence ihb when three letters picked without replacement from btihbbybb.
5/504
Four letters picked without replacement from {y: 2, g: 18}. What is prob of sequence ggyg?
8/95
Calculate prob of sequence gllx when four letters picked without replacement from llxggggl.
1/70
Two letters picked without replacement from bgggbb. Give prob of sequence gg.
1/5
Four letters picked without replacement from {r: 2, b: 2, m: 2, h: 1, k: 1}. Give prob of sequence rrmk.
1/420
Three letters picked without replacement from fudvdmp. What is prob of sequence vmp?
1/210
Two letters picked without replacement from kytudidy. Give prob of sequence yt.
1/28
Three letters picked without replacement from engcqgz. Give prob of sequence qze.
1/210
Four letters picked without replacement from ibiqibbbohh. Give prob of sequence iqbb.
1/220
Two letters picked without replacement from iizzzzzzzzizii. What is prob of sequence ii?
10/91
Calculate prob of sequence hw when two letters picked without replacement from {h: 3, k: 1, c: 1, x: 4, q: 1, w: 4}.
6/91
Three letters picked without replacement from iiiiiliipiko. What is prob of sequence pli?
1/165
What is prob of sequence sb when two letters picked without replacement from {c: 1, w: 2, b: 1, s: 3}?
1/14
Two letters picked without replacement from ayannymymmyyaayyyaa. What is prob of sequence my?
4/57
What is prob of sequence hhhq when four letters picked without replacement from hhhhhhhhhhqhh?
1/13
Four letters picked without replacement from aazzmzmzmzmzz. Give prob of sequence zzam.
14/715
Three letters picked without replacement from eeeaeaaaeee. What is prob of sequence aea?
14/165
Calculate prob of sequence hddh when four letters picked without replacement from hhdddddhddddhddddd.
91/3060
Two letters picked without replacement from {g: 10, c: 2, j: 4}. What is prob of sequence jc?
1/30
Two letters picked without replacement from {f: 2, c: 2, b: 1, z: 1}. What is prob of sequence fc?
2/15
Calculate prob of sequence gg when two letters picked without replacement from gggtgt.
2/5
Calculate prob of sequence zz when two letters picked without replacement from {y: 8, z: 5}.
5/39
Three letters picked without replacement from xtxxt. What is prob of sequence xxx?
1/10
Three letters picked without replacement from vgvigvsiggas. What is prob of sequence avv?
1/220
Calculate prob of sequence qzqz when four letters picked without replacement from {q: 13, z: 3}.
3/140
What is prob of sequence yyy when three letters picked without replacement from {y: 9}?
1
Two letters picked without replacement from {t: 2, m: 1, c: 5, w: 7, f: 1}. What is prob of sequence wf?
7/240
Three letters picked without replacement from sksysloyyssoyyskso. What is prob of sequence kks?
7/2448
What is prob of sequence ppn when three letters picked without replacement from {e: 7, o: 1, p: 8, n: 2}?
7/306
Calculate prob of sequence gr when two letters picked without replacement from gdrjkddjrrokdgroggg.
10/171
Four letters picked without replacement from muuummmuyuuuu. Give prob of sequence mmum.
8/715
Three letters picked without replacement from {g: 1, k: 3, a: 2, y: 8, q: 2, r: 1}. Give prob of sequence akg.
1/680
What is prob of sequence vvvh when four letters picked without replacement from {y: 1, h: 9, v: 10}?
18/323
What is prob of sequence iva when three letters picked without replacement from {v: 1, a: 5, x: 2, i: 1}?
5/504
Two letters picked without replacement from allaalaalaaaalaa. What is prob of sequence la?
11/48
What is prob of sequence abu when three letters picked without replacement from ebuam?
1/60
Two letters picked without replacement from {y: 1, l: 2}. What is prob of sequence yl?
1/3
Three letters picked without replacement from ihaxiiiiixxn. What is prob of sequence ahx?
1/440
Two letters picked without replacement from {m: 7, n: 1, f: 4, v: 8}. What is prob of sequence vm?
14/95
Calculate prob of sequence ig when two letters picked without replacement from {y: 1, r: 1, g: 1, h: 1, i: 1}.
1/20
What is prob of sequence er when two letters picked without replacement from {r: 2, e: 7}?
7/36
Two letters picked without replacement from {m: 1, w: 2, x: 2, v: 8, u: 4, p: 2}. Give prob of sequence pv.
8/171
What is prob of sequence srnn when four letters picked without replacement from {r: 8, s: 4, n: 2}?
8/3003
Two letters picked without replacement from eeaoaaeajjaenje. What is prob of sequence oa?
1/42
Two letters picked without replacement from {t: 15, g: 3}. Give prob of sequence tg.
5/34
Three letters picked without replacement from zfzzzzzz. Give prob of sequence fzf.
0
Four letters picked without replacement from hqfffqhhfeftffftftep. What is prob of sequence htpf?
9/12920
Two letters picked without replacement from aggalbblalsbbgssbulg. Give prob of sequence la.
3/95
What is prob of sequence zzzz when four letters picked without replacement from zelze?
0
Four letters picked without replacement from {n: 5}. Give prob of sequence nnnn.
1
What is prob of sequence ppxx when four letters picked without replacement from cxifxppfxfqcfcqcp?
3/4760
What is prob of sequence ee when two letters picked without replacement from {h: 2, e: 2}?
1/6
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
of 1793933?
631, 2843
What are the prime factors of 31113749?
31113749
What are the prime factors of 21624592?
2, 11, 122867
What are the prime factors of 16576?
2, 7, 37
List the prime factors of 4287155.
5, 857431
List the prime factors of 3038898.
2, 3, 19, 23, 61
List the prime factors of 1082985.
3, 5, 17, 31, 137
What are the prime factors of 734625?
3, 5, 653
What are the prime factors of 347375?
5, 7, 397
What are the prime factors of 15449583?
3, 17, 23, 13171
What are the prime factors of 31654419?
3, 41, 257353
What are the prime factors of 1569218?
2, 7, 112087
What are the prime factors of 3283912?
2, 410489
What are the prime factors of 3748680?
2, 3, 5, 13, 89
List the prime factors of 347877.
3, 38653
What are the prime factors of 664853?
7, 17, 37, 151
What are the prime factors of 189785?
5, 37957
List the prime factors of 736577.
736577
List the prime factors of 1639970.
2, 5, 163997
What are the prime factors of 8833247?
8833247
List the prime factors of 6775462.
2, 3387731
List the prime factors of 458349.
3, 152783
What are the prime factors of 3482653?
47, 74099
What are the prime factors of 1889613?
3, 11, 19087
What are the prime factors of 170801?
170801
List the prime factors of 726865.
5, 37, 3929
What are the prime factors of 3141788?
2, 13, 31, 1949
List the prime factors of 6804395.
5, 13, 104683
What are the prime factors of 90835?
5, 37, 491
List the prime factors of 13418336.
2, 109, 3847
List the prime factors of 42201.
3, 521
List the prime factors of 135333.
3, 11, 1367
What are the prime factors of 446383?
7, 43, 1483
What are the prime factors of 8725874?
2, 809, 5393
What are the prime factors of 9380?
2, 5, 7, 67
List the prime factors of 6135525.
3, 5, 11, 37, 67
List the prime factors of 7812983.
7812983
What are the prime factors of 497364?
2, 3, 7, 31, 191
List the prime factors of 30878552.
2, 3859819
List the prime factors of 1632002.
2, 251, 3251
List the prime factors of 14078.
2, 7039
What are the prime factors of 21836341?
47, 464603
What are the prime factors of 409137?
3, 136379
What are the prime factors of 9450965?
5, 1890193
List the prime factors of 449609.
449609
What are the prime factors of 1335151?
127, 10513
List the prime factors of 10496147.
587, 17881
What are the prime factors of 475618?
2, 11, 13, 1663
What are the prime factors of 788279?
23, 34273
List the prime factors of 839269.
839269
What are the prime factors of 253242?
2, 3, 11, 1279
What are the prime factors of 5473190?
2, 5, 101, 5419
What are the prime factors of 3024238?
2, 7, 337, 641
What are the prime factors of 9572?
2, 2393
List the prime factors of 19461545.
5, 3892309
List the prime factors of 193111.
29, 6659
List the prime factors of 79875.
3, 5, 71
List the prime factors of 1146556.
2, 37, 61, 127
What are the prime factors of 200712?
2, 3, 8363
What are the prime factors of 9102895?
5, 1820579
What are the prime factors of 205188?
2, 3, 17099
List the prime factors of 3390764.
2, 13, 197, 331
What are the prime factors of 43785?
3, 5, 7, 139
List the prime factors of 2444575.
5, 7, 61, 229
What are the prime factors of 891706?
2, 445853
What are the prime factors of 689076?
2, 3, 19141
List the prime factors of 1106669.
29, 31, 1231
List the prime factors of 2168567.
2168567
What are the prime factors of 199296?
2, 3, 173
What are the prime factors of 127905?
3, 5, 8527
What are the prime factors of 794990?
2, 5, 7, 41, 277
What are the prime factors of 4281228?
2, 3, 7, 809
List the prime factors of 1018053.
3, 113117
List the prime factors of 9597738.
2, 3, 251, 6373
List the prime factors of 58281.
3, 19427
What are the prime factors of 160384?
2, 7, 179
List the prime factors of 8743066.
2, 17, 137, 1877
What are the prime factors of 1989693?
3, 221077
What are the prime factors of 96767?
11, 19, 463
List the prime factors of 4615655.
5, 11, 83921
What are the prime factors of 761940?
2, 3, 5, 17, 83
What are the prime factors of 386476?
2, 53, 1823
What are the prime factors of 1958016?
2, 3, 5099
What are the prime factors of 7242323?
11, 17, 38729
What are the prime factors of 2469755?
5, 211, 2341
What are the prime factors of 13467463?
277, 48619
What are the prime factors of 62158?
2, 31079
What are the prime factors of 134775?
3, 5, 599
List the prime factors of 415361.
17, 53, 461
List the prime factors of 20178812.
2, 79, 63857
List the prime factors of 9009206.
2, 4504603
List the prime factors of 1252731.
3, 417577
What are the prime factors of 1394708?
2, 7, 49811
What are the prime factors of 37065?
3, 5, 7, 353
What are the prime factors of 7778105?
5, 257, 6053
What are the prime factors of 2098219?
557, 3767
What are the prime factors of 48451?
13, 3727
List the prime factors of 1422385.
5, 284477
List the prime factors of 321597.
3, 43, 277
List the prime factors of 21377930.
2, 5, 7, 29, 10531
What are the prime factors of 163295?
5, 11, 2969
List the prime factors of 273474.
2, 3, 15193
What are the prime factors of 954722?
2, 477361
List the prime factors of 21372796.
2, 19, 23, 12227
List the prime factors of 1306160.
2, 5, 29, 563
List the prime factors of 513284.
2, 128321
List the prime factors of 159965.
5, 13, 23, 107
What are the prime factors of 7727600?
2, 5, 19319
What are the prime factors of 35669422?
2, 19, 97, 9677
List the prime factors of 9221236.
2, 163, 14143
List the prime factors of 112583.
112583
List the prime factors of 2587778.
2, 53, 24413
List the prime factors of 181124.
2, 45281
List the prime factors of 490778.
2, 245389
What are the prime factors of 9286032?
2, 3, 7, 29, 953
What are the prime factors of 9600430?
2, 5, 7, 23, 67, 89
What are the prime factors of 2479621?
139, 17839
What are the prime factors of 17756770?
2, 5, 199, 8923
List the prime factors of 27472408.
2, 17, 79, 2557
What are the prime factors of 649908?
2, 3, 7, 2579
What are the prime factors of 199865?
5, 71, 563
What are the prime factors of 1144343?
1144343
What are the prime factors of 578731?
17, 59, 577
What are the prime factors of 292100?
2, 5, 23, 127
List the prime factors of 3943125.
3, 5, 701
List the prime factors of 14777107.
14777107
List the prime factors of 2875010.
2, 5, 287501
List the prime factors of 9690714.
2, 3, 11, 17, 2879
List the prime factors of 3842775.
3, 5, 5693
What are the prime factors of 3079964?
2, 83, 9277
List the prime factors of 193368.
2, 3, 7, 1151
What are the prime factors of 671724?
2, 3, 47, 397
List the prime factors of 13963.
13963
What are the prime factors of 369344?
2, 29, 199
What are the prime factors of 1500375?
3, 5, 4001
What are the prime factors of 263306?
2, 173, 761
List the prime factors of 4404766.
2, 953, 2311
List the prime factors of 2027566.
2, 19, 229, 233
List the prime factors of 861782.
2, 430891
What are the prime factors of 5300?
2, 5, 53
List the prime factors of 2590258.
2, 11, 281, 419
What are the prime factors of 9394018?
2, 19, 269, 919
List the prime factors of 356739.
3, 118913
What are the prime factors of 923691?
3, 47, 6551
What are the prime factors of 2654750?
2, 5, 7, 37, 41
List the prime factors of 210914.
2, 11, 9587
What are the prime factors of 97304?
2, 12163
What are the prime factors of 1557201?
3, 519067
What are the prime factors of 2081318?
2, 1040659
List the prime factors of 91783.
17, 5399
What are the prime factors of 746995?
5, 149399
List the prime factors of 629143.
629143
List the prime factors of 2461896.
2, 3, 31, 1103
What are the prime factors of 31896?
2, 3, 443
What are the prime factors of 18227098?
2, 43, 211943
What are the prime factors of 34342?
2, 7, 11, 223
What are the prime factors of 3746678?
2, 13, 144103
List the prime factors of 39618565.
5, 7, 1131959
List the prime factors of 2696075.
5, 107843
List the prime factors of 1027178.
2, 19, 27031
List the prime factors of 11794.
2, 5897
List the prime factors of 427553.
7, 103, 593
What are the prime factors of 909568?
2, 11, 17, 19
List the prime factors of 11622074.
2, 193, 30109
List the prime factors of 165647.
151, 1097
What are the prime factors of 355545?
3, 5, 7901
List the prime factors of 214522.
2, 7, 11, 199
What are the prime factors of 1042889?
23, 45343
What are the prime factors of 24664
|
{
"pile_set_name": "DM Mathematics"
}
|
326*x**2. Let u(t) = 125*t**3 + 33*t**2 + 17*t + 10. Let w be u(9). Let a(d) = 93961 - w - d. Determine a(l(n)).
-326*n**2
Let m(v) = 2081*v**2. Let y(s) = -8*s - 27. Give y(m(p)).
-16648*p**2 - 27
Let u(z) = -126*z + 3. Let w(n) = 13800*n. Determine u(w(l)).
-1738800*l + 3
Let y(b) = -4*b**2. Let n = 29 + -27. Let c(x) = -29*x**2 + 26*x**2 - 8*x**2 - 18*x**n. Calculate c(y(g)).
-464*g**4
Let n(q) = q**3 - 8*q**2 + 5*q. Let f be n(7). Let u be 2/(-7) + 10/f + 3. Let l(b) = 15*b + 7*b + u*b - 4*b. Let y(w) = -2*w. Calculate y(l(v)).
-40*v
Let t(d) = d + 1. Let q(p) = -1071 + 2*p + 1082 + 42*p. Let z(i) = q(i) - 11*t(i). Let x(c) = -4*c. What is z(x(l))?
-132*l
Let b(p) = -86*p**2. Let y = -229 - -400. Let u(f) = 171 - y - 2*f. Determine b(u(a)).
-344*a**2
Let g(p) be the third derivative of -p**5/40 - 5*p**4/6 + 31*p**3 - 19*p**2 - 2*p. Let c(t) be the first derivative of g(t). Let n(x) = 2*x**2. Give n(c(u)).
18*u**2 + 240*u + 800
Let r(c) = -72713*c. Let s(k) = -2498*k**2. What is s(r(t))?
-13207376561762*t**2
Let b(c) be the first derivative of -4*c**2 + 4. Let k(g) be the third derivative of -g**5/20 - 21*g**2 - 4*g - 2. What is k(b(a))?
-192*a**2
Let f(p) = -12*p**2. Let t(g) be the second derivative of -g**7/2520 - 113*g**4/12 + 98*g. Let r(v) be the third derivative of t(v). Calculate f(r(y)).
-12*y**4
Let m(z) = 758562*z. Let x(l) = 12*l**2. What is x(m(d))?
6904995694128*d**2
Let u(w) = -1295*w**2 + 253*w. Let p(j) = 19*j. Determine u(p(q)).
-467495*q**2 + 4807*q
Let h(y) = -7. Let b(w) = -2*w + 35. Let k(g) = b(g) + 5*h(g). Let m(z) = -5*z - 2. What is k(m(c))?
10*c + 4
Let c(m) = -546*m**2 + 2*m - 224. Let x(o) = 19*o. What is x(c(i))?
-10374*i**2 + 38*i - 4256
Let a(l) be the second derivative of 3*l + 43/12*l**4 - 2 + 0*l**3 + 0*l**2. Let g(c) = c**2. Determine g(a(q)).
1849*q**4
Let f = 68 - 64. Suppose 2*z = -f*z + 186. Let a(d) = 31 + d**2 - z + d**2. Let i(x) = 15*x**2. What is a(i(h))?
450*h**4
Let j(b) = -565*b + 56. Let r(m) = 4*m. What is r(j(w))?
-2260*w + 224
Let t(q) = -1999244*q. Let p(g) = g. Give t(p(m)).
-1999244*m
Let n(l) = -23*l - 3. Let t(r) = 128045*r. Determine t(n(y)).
-2945035*y - 384135
Let u(n) = 4*n**2 + 8. Let b = 2464/17 + -59119/408. Let z(d) be the third derivative of 0 + 3*d**2 - b*d**4 - 3*d + 0*d**3. Calculate z(u(k)).
-4*k**2 - 8
Let r(a) = -a**2. Let u(o) be the third derivative of 1/4*o**4 + o**2 - o**3 + 0 + 83*o. Give r(u(j)).
-36*j**2 + 72*j - 36
Let f(w) be the first derivative of w**3/3 + 497*w + 4438. Let s(q) = q**2. What is s(f(a))?
a**4 + 994*a**2 + 247009
Let h(a) = 7*a**2 - 1. Let b(y) = 1648*y. Give h(b(u)).
19011328*u**2 - 1
Let j(g) = -11*g**2 - 5*g. Let f(z) = 117*z**2 + 54*z. Let q(s) = 5*f(s) + 54*j(s). Let l(o) = 12*o + 2. Give l(q(a)).
-108*a**2 + 2
Let v(h) be the third derivative of -5*h**4/12 - 8*h**2. Let p = 470 - 248. Let x(j) = p - 222 + 4*j. Determine x(v(u)).
-40*u
Let h(l) = -3*l - 150. Let n(s) = 6537*s. What is n(h(a))?
-19611*a - 980550
Let i(t) be the third derivative of -t**4/6 + t**2. Let h(o) be the first derivative of 32*o**3/3 - 1064. What is i(h(u))?
-128*u**2
Let o(v) = 3*v**2 + 5 - 4*v**2 + 2*v**2 + v**2. Let y(a) = -940*a**2 + 7*a + 7. Let z(d) = -403*d**2 + 3*d + 3. Let g(w) = -3*y(w) + 7*z(w). Give g(o(r)).
-4*r**4 - 20*r**2 - 25
Let z(y) = -2*y**2 - 50*y + 62. Let h be z(-26). Let v(b) = -37 - 30 + 67 + 19*b - h*b. Let f(i) = 4*i**2. Give v(f(l)).
36*l**2
Let c(d) = -1356*d**2 - 42*d - 63. Let r(v) = 135*v**2 + 4*v + 6. Let b(t) = -2*c(t) - 21*r(t). Let n(z) = 8*z**2. What is n(b(j))?
121032*j**4
Let m(s) = -13*s. Let r(v) be the third derivative of -v**5/15 + 7*v**3/2 + 385*v**2. Determine m(r(d)).
52*d**2 - 273
Let t(q) = -1592*q**2 + 22*q + 132. Let o(z) = z**2 + 2*z + 12. Let f(m) = 44*o(m) - 4*t(m). Let n(l) = 2*l. Give f(n(p)).
25648*p**2
Let m(u) be the second derivative of u**4/4 - 7271*u. Let y(s) = -182*s + 11. Calculate m(y(x)).
99372*x**2 - 12012*x + 363
Let g(p) = -4579*p - 2. Let n(z) = -426*z - 28. What is g(n(r))?
1950654*r + 128210
Let q(o) = -406*o - 697*o + 5*o - 113*o + 104*o. Let i(z) = 3*z. What is i(q(x))?
-3321*x
Let q(j) = 9655780*j. Let p(x) = -2*x**2. What is p(q(z))?
-186468174816800*z**2
Let m(f) = 5*f**2. Let s(d) be the first derivative of -1733*d**2/2 - 8039. Give s(m(r)).
-8665*r**2
Let v(z) = 10373391*z**2. Let w(k) = -k. What is v(w(o))?
10373391*o**2
Let j(g) = 178*g**2 - 5*g + 2. Let y(o) = o**2 + 5*o - 2. Let v(z) = -j(z) - y(z). Let n(x) = 17*x. What is n(v(s))?
-3043*s**2
Let k(s) = 18*s**2 - 8*s - 263*s**2 + 4*s**2 + 8*s. Let v(m) = 10*m**2. Give k(v(r)).
-24100*r**4
Let j(i) = -2*i. Let v(w) be the third derivative of -7/24*w**4 + 0*w**3 + 0 + 20*w**2 + 2*w. What is v(j(g))?
14*g
Let a(v) = 24*v. Let k(p) = -6660446*p - 1. Give k(a(m)).
-159850704*m - 1
Let z(b) = -29*b + 36*b - 11*b + 5*b. Let q(d) = 350*d + 2. Determine q(z(k)).
350*k + 2
Let c(w) = 3*w + 13. Let x(r) = -36*r**2 + 7*r. Let s(t) = 16*t**2 - 3*t. Suppose 13*j + 2*j = -45. Let p(u) = j*x(u) - 7*s(u). Determine p(c(a)).
-36*a**2 - 312*a - 676
Let h(i) = -32 + 319*i + 32 - 319*i + 272*i**2. Let j(s) = s**2 + s + 1. Let r(w) = 2*w**2 + 4*w + 4. Let c(x) = -4*j(x) + r(x). Determine c(h(m)).
-147968*m**4
Let v(l) be the third derivative of -5*l**2 + l + 0*l**3 + 1/2*l**4 + 0. Let s(m) = 2*m + 3*m - 6*m. Determine s(v(k)).
-12*k
Let a(h) = -152568*h. Let q(r) = 446*r. What is q(a(x))?
-68045328*x
Let v(z) = 8*z. Suppose -a = -3*r - 5, -2*a = -r + 4 - 14. Let g(p) be the third derivative of -p**2 + r*p - 1/20*p**5 + 0*p**4 + 0*p**3 + 0. Calculate g(v(f)).
-192*f**2
Let m(y) = -7847*y + 15693*y - 7848*y. Let a(w) = 5558*w. Give a(m(f)).
-11116*f
Let p(v) = -4 - 14 + 13 + 8*v + 7 + 7. Let j(u) = -12*u. What is j(p(z))?
-96*z - 108
Let n(a) = -301*a + 1011*a - 326*a - 331*a. Let m(g) = -53*g. Calculate m(n(d)).
-2809*d
Let t(v) = 17*v**2. Let p(x) = 2*x**2 + 7*x - 7. Suppose 101 = 8*s + 45. Let h(j) = -2*j**2 - 6*j + 6. Let y(m) = s*h(m) + 6*p(m). Give y(t(w)).
-578*w**4
Let y(c) = 43*c**2. Let p(l) = -4*l - 1. Let f(u) = 17*u + 6. Let v(i) = -2*f(i) - 9*p(i). Let r(j) = 10*j - 16. Let d(a) = -3*r(a) + 16*v(a). Give d(y(z)).
86*z**2
Let v(z) = 2036*z. Let r(y) = 2889*y. What is v(r(u))?
5882004*u
Let v(n) be the third derivative of 0*n - 11*n**2 + 0*n**3 + 0 - 1/12*n**4. Let f(l) be the first derivative of -4*l**3/3 - 3. What is f(v(m))?
-16*m**2
Let q(h) = -15*h**2. Let g = -83 - -69. Let u(s) = 22*s. Let z(f) = -10*f. Let v(c) = g*z(c) - 6*u(c). Determine q(v(p)).
-960*p**2
Let k(a) = 36909*a**2. Let j(l) = -19*l**2. Determine j(k(i)).
-25883211339*i**4
Let w(d) = -6*d. Suppose 3*g + y - 26 = -3*y, 2*y = -g + 12. Let n(m) = -11*m**2 + 1 + 4*m**2 - 3*m**g - m**2. Give w(n(c)).
66*c**2 - 6
Let a(f) = -3*f. Let h(b) be the second derivative of 19*b**4/3 - b**3/6 + 444*b + 1. Determine a(h(j)).
-228*j**2 + 3*j
Let x(t) = -12*t. Let m(l) = 179966*l - 3. Calculate x(m(i)).
-2159592*i + 36
Let w(a) = 4*a + 38. Let p be w(-6). Let u(b) = p*b - 2*b - 5*b. Let t(j) = -9*j. Determine t(u(k)).
-63*k
Let m(r) = 761665*r + 1. Let d(t) = -6*t. What is m(d(s))?
-4569990*s + 1
Let a(m) = 124038*m**2 - 3. Let g(s) = -4*s. Determine g(a(d)).
-496152*d**2 + 12
Suppose 3*a = 15, 5*v - 4*a + 20 = -a. Let k(q) = -q**2 - 1. Let o(y) = -2*y**2 - 4. Let n(t) = v*o(t) + 4*k(t). Let h(b) = -2*b - 30. What is n(h(c))?
-8*c**2 - 240*c - 1800
Let f(v) = -2*v**2. Let w(j) = -82920399*j**2. Give w(f(a)).
-331681596*a**4
Let q(x) = -42*x**2. Let y(k) = k - 7. Let v be y(10). Let c(j) = 447 - 447 - v*j. Determine q(c(d)).
-378*d**2
Let k(m) be the second derivative of -5*m**4/12 - 819*m. Let w(o) = -33*o**2 - 4. Give k(w(d)).
-5445*d**4 - 1320*d**2 - 80
Let m(x) = 423*x + 47. Let q(j) = -55*j - 6. Let c(z) = 6*m(z) + 47*q(z). Let p(u) = 20*u. What is p(c(o))?
-940*o
Let o(g) = 2*g**2. Let m(q) = -123835*q**2 - 5. Give m(o(b)).
-495340*b**4 - 5
Suppose -142*v - 280 = -147*v. Let l(h) = -30*h + v*h - 27*h. Let g(x) be the second derivative of 11*x**4/12 - 3*x. What is g(l(i))?
11*i**2
Let x(s) be the first derivative of 5*s**3 - 216. Let k = 5 - 4. Let c(g) = -1 - g + 2*g + k. Calculate x(c(u)).
15*u**2
Let g(y) = -y. Let b(i) = -i. Let f(u) = -2*u**2 + 8*u + 2. Let c be f(4). Let t(h
|
{
"pile_set_name": "DM Mathematics"
}
|
00
Round -0.000026525 to 7 decimal places.
-0.0000265
Round 0.0018401 to four dps.
0.0018
What is 0.00058461 rounded to five dps?
0.00058
What is 49000 rounded to the nearest 10000?
50000
Round 16.7 to the nearest 10.
20
Round 76707000 to the nearest 1000000.
77000000
Round -952.8 to the nearest 10.
-950
Round 23250 to the nearest 100.
23300
What is 32.707 rounded to the nearest 10?
30
Round 208908 to the nearest ten thousand.
210000
Round -133 to the nearest 1000.
0
Round 0.00019697 to 6 dps.
0.000197
Round -0.0032383 to 4 dps.
-0.0032
Round 0.00011782 to 5 dps.
0.00012
Round -0.063504 to 2 decimal places.
-0.06
What is 0.00000314 rounded to 6 decimal places?
0.000003
Round 0.000178123 to five decimal places.
0.00018
Round -4490 to the nearest ten thousand.
0
What is -0.0000013385 rounded to seven decimal places?
-0.0000013
What is 1.03 rounded to 1 dp?
1
Round -0.13147 to one dp.
-0.1
What is 0.00043722 rounded to 6 dps?
0.000437
Round 0.000013886 to 6 dps.
0.000014
Round 1246 to the nearest 1000.
1000
What is 0.008097 rounded to 4 decimal places?
0.0081
What is -71000 rounded to the nearest 1000000?
0
What is -0.0000031 rounded to six dps?
-0.000003
Round -19519 to the nearest 1000.
-20000
What is 0.00311875 rounded to five dps?
0.00312
Round -217610 to the nearest 1000.
-218000
Round 0.00034 to 3 dps.
0
Round -1.09645 to 1 decimal place.
-1.1
Round -9950 to the nearest ten thousand.
-10000
Round -0.027896 to 4 decimal places.
-0.0279
What is -0.00006235 rounded to six dps?
-0.000062
What is 1223000 rounded to the nearest 100000?
1200000
Round -0.288 to 2 decimal places.
-0.29
Round -1008.8 to the nearest one hundred.
-1000
Round -74.468 to 1 decimal place.
-74.5
Round 72.86 to the nearest ten.
70
What is -1.53496 rounded to two dps?
-1.53
Round 0.90191 to three decimal places.
0.902
Round 0.0000030321 to 7 decimal places.
0.000003
What is -0.0009716 rounded to five decimal places?
-0.00097
What is 2210000 rounded to the nearest 10000?
2210000
Round 12.19 to one decimal place.
12.2
Round -325.4 to the nearest 10.
-330
Round 4.084 to zero dps.
4
Round 15170 to the nearest 1000.
15000
What is -40440000 rounded to the nearest 1000000?
-40000000
What is -2.265 rounded to 2 decimal places?
-2.27
Round 147.485 to the nearest integer.
147
What is 97400 rounded to the nearest one thousand?
97000
What is 4374600 rounded to the nearest 10000?
4370000
Round 2.257 to 1 dp.
2.3
Round -53580 to the nearest one thousand.
-54000
What is -386400 rounded to the nearest one thousand?
-386000
What is -0.00001298 rounded to 6 decimal places?
-0.000013
Round -20.48 to the nearest ten.
-20
Round -32.3085 to the nearest 10.
-30
What is -0.72197 rounded to two decimal places?
-0.72
Round 0.04061 to 3 decimal places.
0.041
What is -4768000 rounded to the nearest one million?
-5000000
What is 0.0011263 rounded to four decimal places?
0.0011
What is -925 rounded to the nearest one hundred?
-900
What is 8.958 rounded to one dp?
9
What is 110.8 rounded to the nearest 10?
110
Round -31.36 to the nearest integer.
-31
What is -0.0107049 rounded to 4 decimal places?
-0.0107
What is 0.5494 rounded to 2 dps?
0.55
What is 0.0236056 rounded to 4 dps?
0.0236
What is 47109000 rounded to the nearest one million?
47000000
Round 0.003406 to four dps.
0.0034
What is -0.000002499 rounded to 7 decimal places?
-0.0000025
Round -0.000046164 to 7 dps.
-0.0000462
What is -529800 rounded to the nearest 1000?
-530000
What is -5.6555 rounded to the nearest integer?
-6
What is -0.02309 rounded to three dps?
-0.023
Round -1725190 to the nearest one hundred thousand.
-1700000
Round 86850 to the nearest 1000.
87000
Round -5013700 to the nearest ten thousand.
-5010000
Round -0.0008246 to 4 dps.
-0.0008
What is 9732.4 rounded to the nearest one hundred?
9700
What is -854 rounded to the nearest 100?
-900
Round 0.0000108501 to six decimal places.
0.000011
What is -0.0000006659 rounded to seven decimal places?
-0.0000007
Round -493.97 to 0 decimal places.
-494
What is -0.0002893 rounded to 4 decimal places?
-0.0003
What is 0.745 rounded to 1 decimal place?
0.7
Round 12379 to the nearest one hundred.
12400
Round -0.0000585 to five decimal places.
-0.00006
Round 84.98 to the nearest 10.
80
What is 0.16051 rounded to two dps?
0.16
What is 0.00124851 rounded to four dps?
0.0012
What is -812000 rounded to the nearest 1000000?
-1000000
Round 177.268 to the nearest ten.
180
What is 2233.38 rounded to the nearest 10?
2230
Round -39180000 to the nearest 1000000.
-39000000
Round 0.0000009136 to seven dps.
0.0000009
What is -728 rounded to the nearest one thousand?
-1000
What is -21430 rounded to the nearest 1000?
-21000
Round 0.04017 to 3 dps.
0.04
Round -0.0298 to three decimal places.
-0.03
Round 1.44277 to two decimal places.
1.44
What is 695.7 rounded to the nearest 100?
700
What is -0.00002454 rounded to six decimal places?
-0.000025
Round 0.7359 to 1 dp.
0.7
Round 2.215 to one decimal place.
2.2
Round -0.2329 to two dps.
-0.23
What is -0.0003261 rounded to 6 decimal places?
-0.000326
Round 4.574 to one decimal place.
4.6
What is -0.00040194 rounded to 5 decimal places?
-0.0004
What is 3192.5 rounded to the nearest ten?
3190
Round 0.49575 to 2 decimal places.
0.5
Round -52780000 to the nearest one million.
-53000000
Round 60.7 to the nearest 10.
60
What is 0.000001116 rounded to 7 decimal places?
0.0000011
Round 0.013592 to 4 dps.
0.0136
What is -89200 rounded to the nearest one thousand?
-89000
Round 3670 to the nearest 10000.
0
What is 0.0020373 rounded to 4 dps?
0.002
Round 0.01507 to 3 decimal places.
0.015
Round 202300 to the nearest one hundred thousand.
200000
What is -0.00273 rounded to 3 decimal places?
-0.003
What is -380700 rounded to the nearest 10000?
-380000
Round 0.0000009462 to 6 decimal places.
0.000001
What is -0.0009137 rounded to 4 decimal places?
-0.0009
What is -822 rounded to the nearest 10?
-820
What is -0.00003694 rounded to five decimal places?
-0.00004
What is 0.0000694 rounded to 5 dps?
0.00007
What is 0.0000051166 rounded to 7 decimal places?
0.0000051
What is -0.0000008636 rounded to 7 dps?
-0.0000009
What is 16.577 rounded to the nearest integer?
17
What is 0.0000567 rounded to 6 decimal places?
0.000057
What is 65100000 rounded to the nearest 1000000?
65000000
What is -0.000023831 rounded to 6 decimal places?
-0.000024
What is -1344000 rounded to the nearest one hundred thousand?
-1300000
What is -10423700 rounded to the nearest 10000?
-10420000
Round -117805 to the nearest one hundred.
-117800
What is 0.05486 rounded to three decimal places?
0.055
Round -292610000 to the nearest one million.
-293000000
What is 51026 rounded to the nearest 1000?
51000
What is -0.0026769 rounded to three decimal places?
-0.003
Round 0.71 to the nearest integer.
1
What is -59.04 rounded to the nearest ten?
-60
Round 344 to the nearest one hundred.
300
What is -24.595 rounded to the nearest 10?
-20
What is -0.01402 rounded to 3 decimal places?
-0.014
What is 9950 rounded to the nearest 1000?
10000
What is -0.35017 rounded to 3 dps?
-0.35
What is -1594800 rounded to the nearest ten thousand?
-1590000
What is 11.59 rounded to one dp?
11.6
Round -47580000 to the nearest 1000000.
-48000000
Round -5720900 to the nearest ten thousand.
-5720000
Round 1834 to the nearest one hundred.
1800
Round -232620000 to the nearest one million.
-233000000
What is 0.00000471 rounded to six decimal places?
0.000005
What is -0.00018191 rounded to four dps?
-0.0002
What is 7571 rounded to the nearest 100?
7600
What is 1452000 rounded to the nearest one hundred thousand?
1500000
Round -7704 to the nearest one thousand.
-8000
Round 7744.5 to the nearest 10.
7740
What is -16.377 rounded to one decimal place?
-16.4
Round 13850000 to the nearest one million.
14000000
Round 3915000 to the nearest 1000000.
4000000
Round 372.8 to the nearest 10.
370
What is 58.28 rounded to the nearest 100?
100
What is -0.000000547 rounded to 7 dps?
-0.0000005
Round -0.0000881 to 6 decimal places.
-0.000088
What is -0.008658 rounded to two decimal places?
-0.01
What is -23630 rounded to the nearest ten thousand?
-20000
What is 0.00000322 rounded to 6 decimal places?
0.000003
What is -0.72596 rounded to 2 dps?
-0.73
What is -4116000 round
|
{
"pile_set_name": "DM Mathematics"
}
|
culate the remainder when j is divided by f.
8
Let d(c) = 88*c - 99. Let g be d(6). Let w = -13 + g. What is the remainder when w is divided by 14?
10
Let o be 111/39 - 3 - 6256/(-104). Let l = o - 95. Let s = l - -41. What is the remainder when 18 is divided by s?
0
Suppose -5*j + 3*q + 88 = 0, -20*j - 4*q + 47 = -17*j. Suppose -27*m + 200 = -j*m. What is the remainder when m is divided by 13?
7
Suppose 3*x + 10 = -4*o + 62, -2*x + 3*o + 12 = 0. Suppose -2*w - x*w = -1708. Calculate the remainder when w is divided by 207/5 - 16/40.
40
What is the remainder when 1172 is divided by (-140)/(-6)*(-54)/(-30)?
38
Let m be 0 - 3*(-28)/(-1). Suppose -69 = r + 5*k + 50, -2*k + 2 = 0. Let x = m - r. Calculate the remainder when 79 is divided by x.
39
Let z(n) = -n**3 + 9*n**2 + n - 6. Let r be z(9). Suppose -24 - 66 = -r*p. Let v = 2186 + -2128. Calculate the remainder when v is divided by p.
28
Suppose 0 = 3*z - 859 - 821. Suppose -z = -4*r - 212. Suppose 4*q + 2*o = -15 + 73, 2*q - 34 = 4*o. What is the remainder when r is divided by q?
12
Suppose 2*k = -10, 0 = 3*f - 5*k - 39 + 113. Let l = f - -110. Let p = -70 + l. Calculate the remainder when 20 is divided by p.
6
Let c(i) = -125*i - 1596. What is the remainder when c(-14) is divided by 20?
14
Let a = -277 - -290. Let r(i) = 48*i + 8. Calculate the remainder when r(1) is divided by a.
4
Let b = -54 + 44. Let p be (b - -8) + (6 - 0). Suppose 5*m + 15 + 33 = p*z, 4*m - 16 = 0. What is the remainder when 133 is divided by z?
14
Suppose y + 4*f = -152 + 50, f - 476 = 4*y. Let b = -100 - y. What is the remainder when 448 is divided by b?
16
Calculate the remainder when 224 is divided by (869/99 - 9)*-18 - -41.
44
Let n = 5 + -3. Suppose n*l - 92 = -2*l. Calculate the remainder when (-236800)/(-2664) + (-10)/(-9) is divided by l.
21
Suppose 61*i - 11346 = -418 + 11520. Calculate the remainder when 2179 is divided by i.
339
Let w = -469 + 609. Calculate the remainder when 564 is divided by w.
4
Suppose 2*h = 159 + 197 - 72. Calculate the remainder when h is divided by 11.
10
Let t = 976 + -843. What is the remainder when t is divided by 36?
25
Let k be 1 - (2 + -11 - -5). Suppose -k*y = y - 36. Suppose j = 5*s + y*j - 125, s - 25 = -4*j. What is the remainder when 67 is divided by s?
17
Suppose -2*q + 176 = -78. Calculate the remainder when q is divided by (-3)/((18/(-45))/((-136)/(-40) + -3)).
1
Let h(v) = v + 2*v + 42 + 6*v**2 - 7 - 2*v - 2*v. Calculate the remainder when 1 + (1 - 5*-41) is divided by h(0).
32
Suppose 0*j - j - 5*z = -11, -5*z + 29 = 4*j. What is the remainder when 27 is divided by (24/15)/(96/15 - j)?
3
Let k(n) = -10*n - 228. Calculate the remainder when 836/20 + (-3)/(-15) is divided by k(-23).
0
Suppose 3*u + 90 - 132 = 0. Calculate the remainder when 429 is divided by 510/u - (-81)/(-189).
33
Let t(n) = 128*n**2 + 5*n - 2. Let c be t(2). Suppose 0 = 136*l - 149*l + c. What is the remainder when l is divided by 11?
7
Let f(l) = l**3 + 160. Let s = 42749 - 42722. Calculate the remainder when f(0) is divided by s.
25
Let h = 2539 - 2075. Calculate the remainder when h is divided by 152.
8
Let u(j) = 2*j**3 - 5*j**2 + 16501*j - 16489*j + 18 - 9*j**2. What is the remainder when 610 is divided by u(6)?
16
Suppose -u = -2*z - 107, -3*u = 2*z + z - 285. What is the remainder when u is divided by ((-10)/(-140)*-7)/((-3)/90)?
9
Let g(q) = -39*q - 269. Let n be g(16). Let d = n - -1004. What is the remainder when d is divided by 2?
1
Suppose 649 = 119*p - 303. What is the remainder when 1*(33 + (-2 - 1)) is divided by p?
6
Suppose 2340 = 5*a + 2155. What is the remainder when 1921 is divided by a?
34
Suppose 12*k + 5*s = 15*k - 196, 4*k + 3*s = 213. What is the remainder when 851 is divided by k?
53
Let m(z) = 4*z**2 - 5*z - 1. Let d be m(2). Suppose 4*w + d*v - 286 = 0, 2*v - 7 = -11. Calculate the remainder when 210 is divided by w.
62
Suppose 0 = f - 4*m + 123 - 396, -546 = -2*f + 3*m. Suppose 2*c - f = -5*c. Let i = -42 - -50. What is the remainder when c is divided by i?
7
Let a(s) = -s**3 - 15*s**2 - 15*s + 19. Let b be a(-16). Suppose -6*p - b + 77 = 0. Let l = p + 83. Calculate the remainder when 58 is divided by l.
8
Suppose 0 = 5*x + 5*z + 745695, 0 = -9*x + 8*x - 3*z - 149145. What is the remainder when 519 is divided by 2/(-11) + (x/(-143))/16?
64
Let z(q) = 71*q + 3249. What is the remainder when z(-45) is divided by 45?
9
Let w = -860 - -875. Let y = 154 + -83. What is the remainder when y is divided by w?
11
Suppose 3*o + 4*v - 169 + 33 = 0, 5*v = -3*o + 134. Calculate the remainder when 140 is divided by o.
44
Let b be 2/(-2) + 12 + 4. Suppose 0 = 10*a + b - 175. Calculate the remainder when 127 is divided by a.
15
Let k = -8944 - -9320. Calculate the remainder when 758 is divided by k.
6
Suppose -5*l = 5*j - 145, -81 = -2*j - 3*l - 27. Calculate the remainder when 125 is divided by j.
26
Let v(y) = 2*y. Let i(f) = 17*f - 94. Let x = -85 + 91. Calculate the remainder when v(7) is divided by i(x).
6
Let a = -169 + 173. Calculate the remainder when 19 is divided by ((-3)/(9/a))/(12/(-18)).
1
Suppose -42 = -k + 5*t, 218 = 4*k - 2*t + 7*t. Suppose -80*q = -74*q - 5*w + 14, 4*q - 2*w + 4 = 0. What is the remainder when k is divided by q?
0
Let s(q) = -q**3 + 14*q**2 - 30*q - 14. Calculate the remainder when 272 is divided by s(11).
6
Let k(c) = -10*c - 57. Let g be k(-8). Suppose g*i - 5084 = -8*i. Calculate the remainder when i is divided by 38.
12
Let j = 21078 + -20943. Calculate the remainder when j is divided by 48.
39
Suppose 4*i + 2*i = 48. Suppose 1650 = -9*o + 64*o. What is the remainder when o is divided by i?
6
Suppose 11*x + 14 = 190. Let j be (-8 + 1)*x/(-56). Suppose d - 6 = -2*s, d = -j*s + s + 10. Calculate the remainder when d is divided by 2.
0
Suppose -2*s - 5 = -21. Suppose 2038*b + 230 = 2084*b. Calculate the remainder when s is divided by b.
3
Let y be (-144079)/208*-2 - 3/8. Suppose 22*c - y = 6645. Calculate the remainder when c is divided by 61.
60
Suppose -105 = -3*v + 3*u, -56 = 4*v + 5*u - 223. Calculate the remainder when v is divided by (-51)/(-7) - 12/42.
3
What is the remainder when 4587 is divided by ((-304)/228)/((-8)/162)?
24
Let w(k) = 42*k**2 + 4*k - 3. Calculate the remainder when w(3) is divided by 6/(-4)*(208/3)/(-4).
23
Calculate the remainder when 435 is divided by (-3 + 7)/(0 - 14/(-203)).
29
Let g(h) = 252*h - 2001. Let x(l) = 12*l + 8*l**2 + 10 - 1 + 0*l + l**3 - 2*l. Calculate the remainder when x(-6) is divided by g(8).
6
Suppose 391 = -a - i + 349, 5*a + 4*i = -207. Let c be (-1)/(-4) - (-526)/8. Let o = a + c. Calculate the remainder when 104 is divided by o.
23
Let z(r) = -126*r - 1. Let i = -1 - 0. Suppose 424*o - 526 = 343*o + 770. Calculate the remainder when z(i) is divided by o.
13
Let x(l) be the third derivative of l**4/12 - 7*l**3/6 + 9*l**2. Suppose 36 = 3*b - 21. What is the remainder when b is divided by x(9)?
8
Let w(d) be the third derivative of -d**5/60 + 13*d**4/24 + 28*d**3/3 - d**2 - 24. Calculate the remainder when 32 is divided by w(-3).
0
Let w = -4135 - -7729. Calculate the remainder when w is divided by 100.
94
Suppose 7*r - 3*r + 4*n - 28 = 0, 2*r + 3*n = 17. Let s(j) = 2 + j**2 - r + 2*j**2 - j**2 + 6*j. What is the remainder when 50 is divided by s(-5)?
14
Let l = -900 - -918. What is the remainder when 532 is divided by l?
10
Let r(a) = -10 + 11*a**2 + 407*a - 416*a + 4*a**2. What is the remainder when 96 is divided by r(-1)?
12
Let g = -16 - -27. Let u(w) = -w**3 + 10*w**2 + 151*w - 965. What is the remainder when u(6) is divided by g?
8
Suppose -4*s + 380 = 5*i, 0 = s + 2*i - 5*i - 78. Suppose -17*o - 3*o = 12*o - 736. What is the remainder when s is divided by o?
21
Let i(h) = -8*h - 183. Calculate the remainder when 142 is divided by i(-40).
5
Let b = -34 + 34. Let s = b + 23. What is the remainder when s is divided by 11?
1
Suppose -8 = 6*k - 56. Suppose 0 = -5*l + 23 - k. What is the remainder when 17 is divided by l?
2
Suppose -703*t + 2800 = -698*t. Calculate the remainder when t is divided by 170.
50
Let o = -108 + 65. Suppose -3*b = -5*u - 5*b + 76, -5*b + 54 = 4*u. Let q = u - o. Calculate the remainder when q is divided by 12.
11
Let a(k) = -k**3 + 18*k**2 + 29*k + 75. Calculate the remai
|
{
"pile_set_name": "DM Mathematics"
}
|
f(d) = -d**3 - 4*d**2 + 5*d + 4. Calculate f(c).
4
Let o(h) = -12*h - 26. Let g(k) = 3*k - 3*k + 4*k + 9. Let a(i) = -17*g(i) - 6*o(i). Let x be ((-4)/(-8))/((-1)/4). Calculate a(x).
-5
Let p(m) be the second derivative of m**2 - m**3 + 1/12*m**4 - 2*m + 0. Calculate p(4).
-6
Let k(f) be the first derivative of 3*f - 1/2*f**2 + 1/3*f**3 - 2. What is k(3)?
9
Let k(u) = 14*u + 1. Suppose 5*o = 5*a + 10, 0*a - 5 = 2*a - 3*o. Give k(a).
-13
Let r(b) be the second derivative of b**4/12 + 5*b**3/6 + b**2/2 - 47*b. Give r(-5).
1
Suppose -p + 22 = 5*n, 4*p - 12 = 8*p. Suppose 5*w - 35 = -5*m, -4*w - m + 1 + 12 = 0. Let g(i) = -i + w*i**2 - i**2 - 2*i - 7. What is g(n)?
3
Suppose 15 + 3 = -3*c. Let d be (-4)/6*45/c. Suppose 3*j + 1 = -d. Let k(z) = z**3 + 2*z**2 - z - 2. What is k(j)?
0
Let h(i) = 4*i + 1. Suppose -3*k + 3 = 6. What is h(k)?
-3
Let y(s) = -s**3 - 3*s**2 - s. Let j = 8 + 0. Suppose -2 = -2*a + 4*b, -2*a - b + 0*b = j. Determine y(a).
3
Let q(c) = -c**2 + 8*c - 5. Suppose 0 = -3*m - 0*m + 18. Determine q(m).
7
Let x(t) be the third derivative of -t**6/120 - t**5/12 - t**4/6 + 2*t**2. Calculate x(-3).
-6
Suppose 0 = -9*l - 6*l - 75. Let s(f) = -f**3 - 4*f**2 + 5*f. Determine s(l).
0
Let r(k) = 2*k**2 + 9*k - 6. Let d(v) = v**2 + 4*v - 3. Let p(o) = -5*d(o) + 2*r(o). Give p(-3).
0
Let g(p) be the first derivative of p**3 - p**2 - 2*p + 1. Determine g(2).
6
Let d(t) be the second derivative of -t**5/20 - 7*t**4/12 - 5*t**3/6 - t**2/2 - 7*t. Calculate d(-6).
-7
Suppose 51*g - 48*g + 18 = 0. Let d(n) = 2*n**2 + 9*n + 2. What is d(g)?
20
Let a(f) = f - 1. Let n(u) = 9*u - 8. Let b(w) = -24*a(w) + 3*n(w). Let p be b(1). Let t(c) = 2*c + 1. What is t(p)?
7
Let z(s) be the third derivative of s**6/120 - 7*s**5/60 + s**4/4 + 4*s**3/3 - 25*s**2. Determine z(6).
8
Let w(k) be the first derivative of -k**2/2 - 1. Let n be w(-2). Let f(z) = z + 0*z + 0*z**n + 2*z**2. Calculate f(-1).
1
Let o(g) be the third derivative of -1/24*g**4 + 0*g + 1/6*g**3 + 8*g**2 + 0. Determine o(-4).
5
Suppose 3*d = d + 6. Let u(p) = -3*p**2 + 3*p - 2. What is u(d)?
-20
Let g(k) = -4*k**2 + 2*k**2 - 3 + 2 - 2*k + 2. Determine g(1).
-3
Let u(k) = -k**3 - 3*k**2 + k - 2. Let g(x) = -x**3 - 26*x**2 - 26*x - 28. Let p be g(-25). Calculate u(p).
-5
Let r(m) = -10*m + 2. Let q(n) = 11*n - 2. Let o(y) = -5*q(y) - 6*r(y). Let g be (4/(-3) - -1)*-30. Suppose 2*l + g = 4*b, 2 = -3*b + l + 9. Give o(b).
8
Let w(v) = -7*v**2 + v**3 + 6*v**3 - 6*v**3. Give w(7).
0
Let f be 4/(-1) + 5 - 7. Let g(b) = b**3 + 7*b**2 + 8*b + 9. Calculate g(f).
-3
Suppose -8*v + 20 = -28. Let a(d) = -2*d + 7. Determine a(v).
-5
Let x(j) be the third derivative of j**4/4 - 12*j**2. Give x(1).
6
Let f(h) = 13*h**2 - 25*h + 21. Let l(o) = 3*o**2 - 6*o + 5. Let c(z) = 2*f(z) - 9*l(z). Calculate c(3).
0
Let h(d) = -3*d + 2. Suppose -4*g - 6 = 6. Suppose -4*c - 4 = 2*p + 2*p, -4*c = 3*p + 4. Let b = c - g. Give h(b).
-4
Let d(t) = t. Let y(x) = -4*x - 1. Let o(q) = -5*d(q) - y(q). Suppose 0 = -4*g - 24 + 8. Give o(g).
5
Let r(j) = -j + 1. Let m(n) = 7*n. Let p(t) = m(t) + 6*r(t). Suppose 13 = -2*z - 1. Let u be p(z). Let x(k) = 2*k**3 - k. What is x(u)?
-1
Let f(t) = 2 - 5*t - 5*t + 3*t - 3. Calculate f(2).
-15
Let t(w) = -w**3 + 2*w**2 + 4*w - 2. Let d(z) = -z**3 + z**2 + 3. Let x = -10 + 10. Let g be d(x). What is t(g)?
1
Suppose 1 + 5 = 2*q. Let c(x) be the first derivative of x**2 + 3 - 1/3*x**3 - q*x. Calculate c(2).
-3
Let w(c) be the second derivative of -5*c**3/6 + 2*c**2 + c. Give w(4).
-16
Let w(v) be the third derivative of -3*v**2 + 0*v - 1/24*v**4 - 1/20*v**5 + 0*v**3 + 1/240*v**6 + 0. Let r(q) be the second derivative of w(q). Determine r(4).
6
Let i be 2 + -2 + (0 - 6). Let f be 8/i*9/(-6). Let w(x) = x + f*x**2 - 6 - 4*x**2 + 3*x**2. Calculate w(0).
-6
Let j(b) = -4*b**2 - 24*b - 24. Let u(m) = -m**2 - 6*m - 6. Let w be -3*6/9 + 4. Let g(s) = w*j(s) - 9*u(s). Determine g(-4).
-2
Suppose -5*z - 4*y + 5 + 1 = 0, 3*y = -2*z + 1. Let p = z + 0. Let w be ((-6)/(-4))/(-3)*p. Let u(d) = 5*d - 1. What is u(w)?
-6
Suppose -j = 2*j - 6. Let t(h) = -h**j - 1 + 0*h + h + 6*h. Calculate t(6).
5
Let z(m) = -m**2 + 2*m + 4. Suppose -18 = -c + 5*g, 2*c - 3 + 0 = -g. Calculate z(c).
1
Let m = 26 + -12. Let a(d) = m - 9 + d - 2*d. What is a(7)?
-2
Let z = -6 + 6. Suppose v + 0*v + 6 = z. Let c(y) = -y**2 - 6*y + 2. What is c(v)?
2
Let b(z) = 4*z**3 + 28*z**2 - 27*z + 5. Let m(y) = y**3 + 7*y**2 - 7*y + 1. Let p(h) = 2*b(h) - 9*m(h). What is p(-8)?
-7
Let z be ((-4)/(-7))/(-4 - 30/(-7)). Let u(g) be the third derivative of g**5/60 + g**4/12 - g**3/2 + 2*g**2. Determine u(z).
5
Suppose 3*c + 20 = -3*y + 56, 4*c - 5*y - 57 = 0. Suppose 2*j = 5*f, -36 + c = -3*j - 4*f. Let s(p) = -p**2 - 4*p - 7 - 3*p**2 + 1 + p**3. Determine s(j).
-1
Let w(h) = 2*h + 1. Let m = -1 - -3. Suppose -3 = -g, 3*j + 14 - m = 5*g. Calculate w(j).
3
Let p(g) = -g - 4. Suppose -30 = -n + 6*r - r, -r + 27 = 2*n. Let l = -9 + n. Calculate p(l).
-10
Let g = -7 - -11. Let j(u) = -u**3 + 5*u**2 - 2*u - 4. Determine j(g).
4
Let b(o) = o**3 - 5*o**2 + 6. Let w = 1 - -2. Suppose 0*i = -2*i - 3*a + 13, -23 = -4*i - w*a. Give b(i).
6
Let z(y) be the second derivative of y**5/20 - y**4/3 - y**3/3 + 5*y**2/2 - 18*y. Calculate z(4).
-3
Suppose -3*z = -5*z + 5*v + 9, 2*z = 2*v. Let r(n) = n**3 + 4*n**2 - 6*n - 5. Let h(i) = -i**3 - 4*i**2 + 5*i + 4. Let y(d) = 6*h(d) + 5*r(d). What is y(z)?
-10
Let w = -1 + 3. Let p(h) be the third derivative of h**5/60 + h**4/24 - h**3/3 - 2*h**2. Let z(y) = -y**2 - y + 2. Let k(c) = -4*p(c) - 5*z(c). Determine k(w).
4
Let s(g) = 2*g**2 - 2*g - 3. Let m be s(-2). Suppose h - 5*z = 2*h - 18, -2*h + m = z. Let q(b) = -b - 1 + 0*b + h. What is q(-3)?
5
Let k(n) = -n**3 + 13*n**2 - 13*n + 9. Let m be (-4)/6 - 38/(-3). Let d be k(m). Let h(o) = -o**2 - 2*o - 3. Give h(d).
-6
Let o be (-1)/(222/75 + -3). Let x = -17 + o. Let g(z) = -z - x - 2 + 3. Give g(-4).
-3
Let c(m) be the second derivative of -m**5/20 - m**4/6 + m**3/3 - 6*m. Calculate c(-3).
3
Let k(h) = -h**2 - 10*h + 5. Let d(n) = -26*n + 14. Let q(u) = u**2 - 25*u + 14. Let x(v) = 4*d(v) - 3*q(v). Let a(s) = -17*k(s) + 6*x(s). What is a(-3)?
2
Let t(s) = -s**3 + 12*s**2 + 14*s - 16. Let f(g) = -4*g - 43. Let y be f(-14). What is t(y)?
-3
Let o(q) = -2*q**3 + q**2 + 2*q + 1. Let k = 5 - 6. Let c be o(k). Let u(r) = 2*r + r - c*r. Give u(4).
4
Let n(a) be the third derivative of -7/24*a**4 - a**2 + 0 - 2/3*a**3 + 0*a - 1/60*a**5. What is n(-5)?
6
Let d(u) be the second derivative of u**7/1260 + u**6/720 + u**4/2 - 7*u. Let w(p) be the third derivative of d(p). Suppose 0 = -4*a + 5*a + 1. Give w(a).
1
Let l(o) = 2*o**2 - 2*o - 1. Let w be l(2). Let h(t) = -w*t + 12 - t + 3*t. Let q be h(13). Let u(j) = 7*j**2. Calculate u(q).
7
Let i(n) = -13*n**2 + n + 4. Let t(f) be the first derivative of 25*f**3/3 - f**2 - 7*f - 2. Let s(w) = 7*i(w) + 4*t(w). Suppose -v - 1 = -0*v. What is s(v)?
10
Let c(o) = 7*o**3 + 3*o**2 + 2*o + 4. Suppose -4*y - y - 15 = 0. Let r(g) = -4*g**3 - g**2 - g - 2. Let j(i) = y*c(i) - 5*r(i). Give j(-4).
2
Let f = -2 - -6. Let j(x) = x**2 - x - 1. Let b(c) = c**3 + c**2 - 8. Let d(k) = -b(k) + 6*j(k). Determine d(f).
-6
Let p(u) = -3*u**3 + 3*u**2 - u. Let k(g) = -8*g**3 + 9*g**2 - 3*g + 1. Let n(x) = -4*k(x) + 11*p(x). Let c(f) = -2*f + 10. Let r be c(7). Calculate n(r).
8
Let o(r) be the first derivative of r**3/3 + 5*r**2/2 - 4*r + 1. Let n(s) = 3*s + s + 1 - 2*s. Let b be n(-3). Determine o(b).
-4
Let a(r) be the first derivative of -r**3 - r**2/2 + 2*r + 3. Suppose 4*q - i - 10 = q, -4*i - 8 = 4*q. What is a(q)?
-12
Let w(j) = 3*j**2 - j - 7. Let x(u) = -4*u**2 + 7. Let n(p) = -5*w(p) - 4*x(p). Suppose 5*m + 1 = -24. Give n(m).
7
Suppose w + 1 - 2 = 0. Let u(t) = 5*t. What is u(w)?
5
Let y(n) = -n**3 - 5*n**2 - 3*n - 2. Suppose -9 + 24 = 3*g. Suppose -6 = -3*i + 48. Suppose g*w + i = p, -3*p + 2*p + 3*w + 10 = 0. What is y(p)?
-8
Let y(z) = 1 + 12*z - 5*z - 12. Let j(f) = -7 + 6*f + 2 - 2*f. Let d(r) = 5*j(r) - 3*y(r). Determine d(0).
8
Let z(t) = -4*t**2 + 5*t - 2. Let d(q) = 3*q**2 - 5*q + 2. Let g(l) = 3*d(l) + 2*z(l). Suppose 5 + 1 = f. Suppose -2*o - f = -4*o. What is g(o)?
-4
Let h(j) = -6 + 4 - 4 - j**3 + 9*j - 2*j + 6*j**2. Give h(7).
|
{
"pile_set_name": "DM Mathematics"
}
|
*x + 28, -107 = 8*x - 3*q - 99 for x.
-4
Solve g = -3*j, 152*j - 304*j + 5*g = -151*j + 32 for j.
-2
Solve 2*w - 107 = 3*b - 96, b = -2*w + 15 for b.
1
Solve -25*t + 27*t = -4*q + 14, 3*q - t = 18 for q.
5
Solve -2*z = l + 11, 0 = 4*z + l + 43 - 22 for z.
-5
Solve 0 = -11*s + 6*s + 5*k - 5, 7*k = 14 for s.
1
Solve -4*b + 2911 = -2*o + 2885, 4*b = 5*o + 35 for o.
-3
Solve -3*f - 5*o = 43, 54*o - 64*o = -f + 44 for f.
-6
Solve 2*x - 5*f = -26360 + 26408, f = -4*x + 8 for x.
4
Solve -72*v + 4*z = -73*v, -2*v - 2*z - 6 = 0 for v.
-4
Solve -5*r - 20 = 5*d, r = -3*d + 302 - 312 for d.
-3
Solve 49 = 3*w - 4*w - 23*s, -4*s + 11 = -2*w + 13 for w.
-3
Solve -4*j = -26*g + 25*g + 44, 4*g = -j + 6 for j.
-10
Solve -5*f - 45*a = -40*a - 15, 0 = f - 4*a + 17 for f.
-1
Solve -4*w + s - 22 = 0, 3*w + 447*s = 445*s - 11 for w.
-5
Solve j = -3*f + 14, -4*f - 36 = 4*j + 11*j for j.
-4
Solve -3*z + 21*r = -36, -5*r = -2*z - 525 + 540 for z.
5
Solve 0 = 2*l - 10, 2*m - 4*m - 2*l + 16 = 0 for m.
3
Solve 5*u + 17*r + 40 = 22*r, 2*r + 38 = -4*u for u.
-9
Solve 4*t = -83*m + 84*m - 4, -2*t = -m + 4 for t.
0
Solve n + 11 = 0, 2*c - 3 = 5*n + 48 for c.
-2
Solve 5*x = 2*d + 21, -x + 2*d - 367 = -368 for x.
5
Solve 49*v - 100 = 40*v + 5*c, -13*c = -5*v + 76 for v.
10
Solve u - 3*b + 15 + 0 = 0, 6*u - 1380*b + 10 = -1382*b for u.
-3
Solve -21*s + 25*s + 2*t = 6, -5*t = -s - 15 for s.
0
Solve -30*u + 29*u = 7, 4*w - 5*u - 43 = 0 for w.
2
Solve -220*u + s = -226*u - 2, 4*u + s = -2 for u.
0
Solve -7 = -2*r + 5*a + 5, -7*a = 4*r + 10 for r.
1
Solve -24 = -2*c + 2*h, 16481*c - 16493*c + 3*h + 81 = 0 for c.
5
Solve -3*u - 24 = -4*a, a = -3*u + 47 - 56 for u.
-4
Solve 54*d - 49*d - 2*c - 79 = 0, -d - 4*c = -7 for d.
15
Solve 0 = 5*d - 3*j - 5, -675*d + 670*d - 3*j + 35 = 0 for d.
4
Solve 16*q + 3*c - 3 = 21*q, 5*q + 35 = -5*c for q.
-3
Solve -l - 5*x - 57 = -55, -4*l - x + 11 = 0 for l.
3
Solve -16*n - 12 = -2*v - 20*n, -15*n = 5*v - 55 for v.
-4
Solve -28 = -5*b - 6*a, -2*b + 4*a + 4191 = 4199 for b.
2
Solve 0 = -5*v + g + 21, 0 = 35*v - 39*v + 2*g + 12 for v.
5
Solve -4*d - 2*x + 10 = 0, -1838 = 4*d - 2*x - 1844 for d.
2
Solve 5*m + 470 - 457 = -z, -14 = 4*m + 2*z for m.
-2
Solve -88*n = -90*n, -2*b - 5*n = -12 for b.
6
Solve 4*c = -4*f - 16, 6*f + 1414 - 1390 = -2*c for f.
-4
Solve -2*w - 30 = m + 4*m, 0 = 4*m + 16 for w.
-5
Solve 5*p - 11 = -n, 3*n + 3*p = -3858 + 3867 for n.
1
Solve 19 = -3*a - g, 0*a - a - 25 = 5*g for a.
-5
Solve -40*y + 30 = 5*r - 35*y, 2*r = -3*y + 17 for r.
1
Solve -4*a - 435*o = -432*o - 6, -7*a + 5*o - 10 = 0 for a.
0
Solve -2*r + 5*k + 0 = -4, 0*r + 3*k = -5*r + 41 for r.
7
Solve -163*l = -2*o - 160*l - 47, o + 3*l = 53 for o.
2
Solve 2*m - 12 = n, 15*m - 17*m - 6*n = 30 for m.
3
Solve -5*q + 59 = 9*t, -1051*t + 1052*t + 5*q = 11 for t.
6
Solve 2*r = 10, -4*d + 3*d - 147*r + 5 = -143*r for d.
-15
Solve 0 = 2*v - 2, 31 - 32 = n + 3*v for n.
-4
Solve v - 1238*p + 1239*p = 0, -2*v = -4*p + 18 for v.
-3
Solve -3*c + 208 = -t + 198, 0 = 5*c + 4*t + 6 for c.
2
Solve 0 = 3*r + 3*q - 18, 2140 = -r + q + 2134 for r.
0
Solve 4*m = -7*p + 56, 206*p = 201*p - 5*m + 40 for p.
8
Solve 0 = -3*i - 33*m - 507, 20 - 91 = -i + 5*m for i.
-4
Solve -h = 5*z - 21, -31 = -3*h - 3*z - 28 for h.
-4
Solve -n - 2*k - 171 = -160, 4*k = -3*n - 25 for n.
-3
Solve -4*o = -4*f + 32, -6*o - 14 = -4*f - 8*o for f.
5
Solve s - 19 + 21 = 2*o, -2*o + 2*s = -4 for o.
0
Solve -5*m - v - 134 + 152 = 0, -m = -v for m.
3
Solve j + 64 = 5*g, 10*j + 87 = 6*j + 7*g for j.
1
Solve 2*b + 5*q = 22, -4*b + 73 = -q + 51 for b.
6
Solve 7 = 33*v - 28*v - 2*i, -5*i + 20 = 0 for v.
3
Solve -3*m + 56 = -5*x, -5*x + 21 - 65 = 3*m for x.
-10
Solve 5*x + 11976*m = 11975*m + 10, -15 = 3*m for x.
3
Solve -5*p + 2*s + 42 = 0, 22*p - 20*p + 3*s + 44 = 0 for p.
2
Solve -5*v - 34 = -4*h, 2*v = -2*h - 507 + 515 for v.
-2
Solve 4*h + 3*z - 29 = 0, 1028*h - 1027*h = -2*z + 11 for h.
5
Solve 133*z - 135*z + 45 = 5*k, -z = 12*k - 89 for z.
5
Solve -2*u + 3*a = -12, 2*u - 5*a + 42 - 62 = 0 for u.
0
Solve q - 134*h = 132*h - 269*h + 16, -4*q = -5*h + 21 for q.
1
Solve -4*o - 92*a = -87*a, 3*o + 2*a + 7 = 0 for o.
-5
Solve -5*v = 5*w, -13*w + v = -10*w for w.
0
Solve 3*o - 2*h - 13 = 0, 9*o - 4*o - 10*h = 35 for o.
3
Solve -2809*x - 3*k = -2807*x - 5, 0 = -x - k + 2 for x.
1
Solve -731*x + 727*x - 3*f - 29 = 0, x - 2*f = 1 for x.
-5
Solve -979*w + 4*p = -979*w - 20, -2*w + 9 = -p for w.
2
Solve 2*y + w = -9, 2*w = -70 + 72 for y.
-5
Solve 17*v - u + 19 = 14*v, -6*u = -2*v - 34 for v.
-5
Solve -3*g - 5*y - 13 = 0, 5*g + 62 - 185 + 83 = 4*y for g.
4
Solve 0 = 4*p - 2*r - 2, 1855 = -3*p - 5*r + 1824 for p.
-2
Solve -2*o = 0, -2*j + 6*j + 12 = -64*o + 60*o for j.
-3
Solve 0 = -4*y + 5*x - 18, -2*y - 14*x - 2 = -13*x for y.
-2
Solve 5*i - 41*l + 30*l = -18, 3*i + 62 = -4*i - 3*l for i.
-8
Solve -g = 11*c - 5*c + 35, -4*c + 5*g - 29 = 0 for c.
-6
Solve -11 = q - 5*z, 13 = -123*q + 118*q + 4*z for q.
-1
Solve 4*h + 2*o + 2 = 0, 99*o - 98*o + 1 = -h for h.
0
Solve 5*z - c - 2 = 0, -5*z - c - 98 = -86 for z.
-1
Solve 0*i - 4*i = 2*j - 4, 1 = -3*j + i for j.
0
Solve -3*b = 4*k - 3 + 29, -4*b - 4*k - 24 = 0 for b.
2
Solve 0 = 3*q + 5*r, 1499*r - 1496*r = q + 14 for q.
-5
Solve 25 - 19 = -t + 2*b, 5*t - 4*b + 6 = 0 for t.
2
Solve -r + n + 101 - 98 = 0, 5*n + 13 = 6*r for r.
-2
Solve 2*u + 4*l = 2*l - 18, 4*u - 2*l + 6 = 0 for u.
-4
Solve -3 = 5*c + 4*d, -12*d - 24 = 3*c - 17*d for c.
-3
Solve -703*n + 705*n + 47 = 15*w, 0 = 2*w + 4*n - 2 for w.
3
Solve x + 3*c = 4*c + 4, 27293*c - 12 = -2*x + 27291*c for x.
5
Solve -4*c = -2*r - 26, 3*r + 150*c - 5 = 145*c for r.
-5
Solve -18 = 4*d + 2*p, 2 = 7*d - p + 11 for d.
-2
Solve 479*b - 27 = -5*k + 477*b, k = -4*b + 9 for k.
5
Solve -4*l - 2*u + 14 = 0, 3*l - 133*u = -134*u + 13 for l.
6
Solve -n = -5*v - 37, 4*n - 51 + 31 = 4*v for v.
-8
Solve -2*f + 6 = 3*v, 943*f = 944*f + 3*v - 6 for f.
0
Solve 11*o + 30 = -2*q - 91, 13*q = 5*q + 7*q for o.
-11
Solve 3*z = -6*u - 30, -58*u + 60*u = 4*z + 30 for u.
-1
Solve -3 = 3*c + 2*r, 8*r = 4*r for c.
-1
Solve -10*y = t + 23 + 9, 2*t + 4 = -5*y for t.
8
Solve 2*y + 8107*l = 8113*l - 30, y + 2*l - 10 = 0 for y.
0
Solve 3*h - 22 = -2*y, 0 = -5*y - 2285*h + 2280*h + 45 for y.
5
Solve 2*o + 3*x - 31 = 0, o + 546*x - 11 = 545*x for o.
2
Solve -5*z - 2*y - 7 = 0, -3*z - 21 = -3493*y + 3497*y for z.
1
Solve -8*b - 54*c + 56*c + 30 = 0, 0 = -3*b - 4*c + 35 for b.
5
Solve -237*k - 6 = 2*r - 240*k, -8 = 4*r - 5*k for r.
3
Solve -14*w = -19*w - 10, 12 = -2*u - w for u.
-5
Solve z - 715*x = -718*x + 5, 5*z - 25 = -5*x for z.
5
Solve -3*g + 4*b = 36, -4*g - 52 = g - 4*b for g.
-8
Solve -36 + 21 = -5*s, 78 = 12*d - 0*d - 2*s for d.
7
Solve 24*t + 2*c + 124 - 14 = 0, t - 732*c - 20 = -737*c for t.
-5
Solve -5*x = 20, q + 3*x + 126 = 7*x + 141 for q.
-1
Solve -4*w - 12 = -2*p, 5*w - 9618 + 9632 = 3*p for w.
-4
Solve 736*a + 20 = 737*a - 3*d, -66 = -4*a + 5*d for a.
14
Solve -71*u + 20 = 5*q - 68*u, 3*q - 4*u + 17 = 0 for q.
1
Solve 0 = -5*l + 3*o - 35, l - 44 + 98 = 10*o for l.
-4
Solve 5*u + 25 = 5*q, 321 - 335 = u - 4*q for u.
-2
Solve b = o - 2, 4*b - 40 = 18*o - 22*o for o.
6
Solve -5*q + 924 = 4*f + 897, 6 = 5*q - 3*f for q.
3
Solve -l = -r + 8884 - 8879, 2*r - 5*l = 19 for r.
2
Solve r = 4*x - 1, 2*r - 5*x - 38 = -43 for r.
-5
Solve 5*w + 139 = -4*p + 168, 0 = 4*w - 6*p - 14 for w.
5
Solve 168*d - 163*d - 3*z + 49 = 0, 2*d + 14 = 4*z for d.
-11
Solve -3*n - 5*h = -10, -2*n + 2139 = 5*h + 2124 for n.
-5
Solve 4*b + 30 = 3*y, -3 = -503*y + 504*y + 3*b for y.
6
Solve -m + 4 = -2*t, 2*m - 2*t + 1894 = 1896 for m.
-2
Solve -52*o + 57*o - 2 = 3*s, 4*s - 9 = -5*o for o.
1
Solve -13*r - 113 = -4*o - 161, 2*r - 5*o = 3 for r.
4
Solve h - 4*v + 7 = 0, -4*h - 53*v = -56*v + 15 for h.
-3
Solve -692*o + 2*q = -701*o - 7, 3*o + 3*q = 0 for o.
-1
Solve 0 = 5*z - 12*v + 49, v = -3*z - 10 - 3 for z.
-5
Solve -v = n - 6, -426*n + 5*v - 26 = -430*n for n.
4
Solve 5*x + 4*s = 14, -497*s + 494*s + 0 = 2*x - 7 for x.
2
Solve 6 = 2*a + g, -265*a + 268*a - 2*g = 9 for a.
3
Solve -2*c + 5*t + 18 = 0, 12*c - 37*t - 58 = -32*t for c.
4
Solve -4*d + 52 = 4*j, 34*j = 61*d - 57*d + 138 for d.
8
Solve 9*t - 5*t = -4*y + 16, -25 = -5*y for t.
-1
Solve 3*d + 318*x = 315*x - 33, 5*x = -
|
{
"pile_set_name": "DM Mathematics"
}
|
Let x = 150323 - 69959. Let q = 80406.079 - x. Let f = q - 42. Round f to 2 dps.
0.08
Let m = -43.295 - -80.48. Round m to zero dps.
37
Let d = -2231.5584 - 0.4416. Let w = 2232.000002257 + d. What is w rounded to seven decimal places?
0.0000023
Suppose -25*m = 1170 + 630. Let b be 3125/2*5868*m/(-135). What is b rounded to the nearest 1000000?
5000000
Let l = 24.6 + -24.722. Let g = 0.12201325 + l. What is g rounded to 6 decimal places?
0.000013
Let x = -6.95 - -8.6. Let d = -2.62 - x. What is d rounded to zero decimal places?
-4
Let y = -166 - -173. Suppose 85351566 = y*q - 39458434. What is q rounded to the nearest one million?
18000000
Let q = 4 - 3.813. Let a = -2.753 - q. What is a rounded to 0 decimal places?
-3
Let g = -15.0324 + 10.066. Round g to zero dps.
-5
Let r = 559.2360631 - 559.498. Let q = 24.9593169 + r. Let b = q + -24.7. Round b to 4 decimal places.
-0.0026
Let m = -34.806 - 0.194. Let z = 725865.00043 + -725900. Let c = m - z. What is c rounded to 4 decimal places?
-0.0004
Let t(v) = 66158*v**2 + 12*v + 1. Let i be t(12). Let k = 3573103 + i. Round k to the nearest one million.
13000000
Let k be (-11 + (-5458713)/117)/(2/30726). Round k to the nearest 1000000.
-717000000
Let w = -1499.6975267 + 1499.7. Round w to four decimal places.
0.0025
Let x = 6 + 156. Let l = -146.207 + -1.393. Let d = l + x. What is d rounded to the nearest integer?
14
Let x = 10.923 + -10.9226125. Round x to five dps.
0.00039
Let p = 457.09 + -0.09. Let i = 456.9141 - p. What is i rounded to two dps?
-0.09
Let d = -14081.17247 + 14081. Round d to 2 dps.
-0.17
Suppose -3*n + 54 + 57 = 3*c, -3*c - 5*n = -107. Suppose 46*y - c*y + 259 = 0. Round y to the nearest ten.
-40
Let j = 390.855180416 + -392.70518. Let i = j + 1.85. What is i rounded to seven dps?
0.0000004
Suppose -13*x - 118772 = 10760. Round x to the nearest one thousand.
-10000
Let z = -0.158 - 128.842. Let q = z - -129.035. Round q to three dps.
0.035
Let g = -0.0896 + 0.15. Let d = 0.06039765 - g. What is d rounded to 7 decimal places?
-0.0000024
Let s = -9417 + 9416.993107. Round s to 4 decimal places.
-0.0069
Let y = -0.0885 + -1007.9115. Let q = -1007.9998164 - y. What is q rounded to five dps?
0.00018
Let s = 12677627 - 29334627. What is s rounded to the nearest one hundred thousand?
-16700000
Let c = -26127675 + 26127638.144734. Let m = c + 37.16526614. Let j = -0.31 + m. What is j rounded to seven decimal places?
0.0000001
Let g = -628.7898 + -10.0802. Round g to 0 dps.
-639
Let l = 1459776.4911 + -1459675. Let j = 0.1089 + l. What is j rounded to 0 decimal places?
102
Let v = -3469684.32319 - -3469664. Let r = v + 19.4513. Let g = r - -0.87. Round g to four dps.
-0.0019
Let b = 2.2112 - 1822.6538. Let n = -1858.442545 - b. Let a = n + 38. What is a rounded to 5 decimal places?
0.00006
Suppose -4*a + 3*i = -13, -a - 2*a - i = -26. Suppose b = -a*b + 72. Suppose 0*o = -b*o + 1467000. Round o to the nearest 10000.
160000
Let v = -0.8 + 0.653. Let o = v - 92.853. Let a = 92.915 + o. Round a to 2 dps.
-0.09
Let b = 18.923 + -45.92492. Let p = 0.4 + 26.6. Let w = p + b. What is w rounded to 4 decimal places?
-0.0019
Let p be (372 + 3)*13/(-39)*90040. What is p rounded to the nearest 1000000?
-11000000
Let k = -0.128 - -0.159. Let p = -119.031 + k. Let b = p + 118.999734. Round b to five decimal places.
-0.00027
Let n = -69.975 - 0.025. Let b = 143 + n. Let l = b + -72.999495. What is l rounded to 4 dps?
0.0005
Let x = 39801 - 39694.559. Let q = 0.241 - x. Let w = 72 + q. What is w rounded to the nearest integer?
-34
Let n = 6.2697 + 2.9408. Let o = n - 0.0505. What is o rounded to one decimal place?
9.2
Let a = -2144 - 10. Let u = a + 2154.983. What is u rounded to 1 decimal place?
1
Let v(x) = 1235*x**3 - 25*x**2 - 6*x + 24. Let q be v(-6). What is q rounded to the nearest 100000?
-300000
Let g = -623.95464 + 0.72464. What is g rounded to the nearest one hundred?
-600
Let v = 0.02014059 + -2.16009959. Let w = -2.14 - v. What is w rounded to 5 decimal places?
-0.00004
Suppose -6539 = -l - 5*u, 1 + 2 = 3*u. Let b be (50/15)/((-2 - -5)/l). What is b rounded to the nearest one thousand?
7000
Let v = 2.8908938 + -2.891. Round v to five decimal places.
-0.00011
Let i = -17434.42 - -17587. What is i rounded to the nearest ten?
150
Let i be (755/(-3))/(433685/(-12390) + 35). Round i to the nearest ten thousand.
90000
Let b = -0.00851 - 5.22549. What is b rounded to one decimal place?
-5.2
Let x(l) = -399*l - 49. Let v(i) = -25*i - 3. Let p(j) = 63*v(j) - 4*x(j). Let y = -16 - -19. Let b be p(y). Round b to the nearest one hundred.
100
Let f be 3*(4 + 70/(-15)). Let k be 1250/((-53764)/(-35840)*f - -3). What is k rounded to the nearest 100000?
-5600000
Let o = 38.08 - 44.5. Let c = 21.3 + o. Let z = -1.78 + c. Round z to the nearest 10.
10
Let l = 2306734.0289 - 2307415. Let t = l + 681. What is t rounded to three dps?
0.029
Suppose 0 = -10*g + 80824 - 235194. Let n(j) = -583*j**2 + 4. Let k be n(-7). Let i = k + g. Round i to the nearest ten thousand.
-40000
Let r = 3354.743 + -3372. Round r to the nearest integer.
-17
Let y = -93.9 - -39.5. Let a = -9.4 - y. Let d = 44.999736 - a. What is d rounded to five decimal places?
-0.00026
Let f = -370 + 202. Let r = 167.99999901 + f. Round r to seven decimal places.
-0.000001
Let t = -20066 + 20066.12821. Round t to 3 decimal places.
0.128
Let t(q) = 6*q + 7970*q**2 - 10 + 6*q + 0*q + 16*q. Let g be t(13). Let n = 787284 - g. What is n rounded to the nearest one hundred thousand?
-600000
Suppose 2*g = -4*o - 2*g + 189711472, 0 = 4*o + 3*g - 189711474. Suppose -n = -8*n + o. Let m = 3675410 - n. Round m to the nearest one million.
-3000000
Let i be 5*(-494181)/(-90)*8/3. Let s = i - 49212. What is s rounded to the nearest ten thousand?
20000
Let v = -0.7933 + 0.793318005. What is v rounded to 7 dps?
0.000018
Let r = 3.707 - 3.33. Let a = r + -0.3770165. What is a rounded to 5 decimal places?
-0.00002
Let p = 4323 - 4326.459. What is p rounded to 1 decimal place?
-3.5
Let r = -80.954 - -80.953962327. What is r rounded to seven decimal places?
-0.0000377
Let j be (-2068)/4653 - (-20110)/9. Round j to the nearest 100.
2200
Suppose 0 = -5*z + 2*n + 13, -4*z = -2*n + 3 - 13. Suppose q = -2, 2*m - z*m - 2*q = 241004. What is m rounded to the nearest 10000?
-240000
Let v = 663 - 2678. Let i = -2059.925 - v. Let f = 45 + i. Round f to 2 dps.
0.08
Let l = -32889 + 32888.9808842. Round l to 3 dps.
-0.019
Let t = 146 + -146.143. Let n = 101.143 + t. Let q = n + -108.8. What is q rounded to zero decimal places?
-8
Let h = -68.01 + 74. Let m = 5.9900114 - h. Round m to six decimal places.
0.000011
Let g be (-4160)/(-70) - (-3)/(-7). Let h(v) = 15*v + 3. Let a be h(3). Let s = g - a. What is s rounded to the nearest 10?
10
Let k = 575514882.5 - 575674596.600544. Let o = k - -159719. Let a = -4.9 + o. Round a to 4 decimal places.
-0.0005
Let o(y) = -43*y + 6. Let g be o(5). Let c be (-2)/2 - (4 + 4 + -338). Let r = c + g. Round r to the nearest 100.
100
Let p = 258 + -165. Let f = -92.946 + p. Let z = -0.05419 + f. Round z to four dps.
-0.0002
Let f = 7237 - 7003.1. What is f rounded to the nearest one hundred?
200
Let r = 6554933 + -1681933. What is r rounded to the nearest one hundred thousand?
4900000
Let s = -1106191 + 1106197.85713. Let q = s + -6.85. Let y = -0.007 + q. Round y to 4 decimal places.
0.0001
Let m = 194532 + 940368. Round m to the nearest 100000.
1100000
Let i = 184697409.97091 + -184703062. Let p = -5652 - i. Round p to 2 dps.
0.03
Let w = -0.008 - -1.348. Let n = w + -0.04. Let x = 1.472 - n. What is x rounded to two decimal places?
0.17
Let t = -7485.5 - -7508. Let l = -28.053013318 - -50.55301312. Let y = l - t. Round y to 7 decimal places.
-0.0000002
Let l = -10.38 + -0.92. Let b = -11.30000635 - l. Round b to 6 decimal places.
-0.000006
Let u = 319724961.299999508 + -319724960. Let l = 1.3 - u. What is l rounded to seven dps?
0.0000005
Let v(f) = 2*f**2 - 13*f - 24. Let w be v(8). Suppose -3*x - 9 - 42 = w. What is x rounded to the nearest 10?
-20
Let d = 3219469 - 3219453.50117. Let z = 15.5 - d. Round z to four dps.
0.0012
Let s = 32.071 + -71.107. Round s to the nearest integer.
-39
Suppose -16 = 25*n - 66. Suppose 5639995 = 4*t +
|
{
"pile_set_name": "DM Mathematics"
}
|
Let y = 0.67 - -0.08. Let k = y + -0.9. Let q = -0.05 + k. What is the third smallest value in q, 2, -0.5?
2
Let t(l) = l**2 - 2*l - 11. Let x be t(-3). Which is the second smallest value? (a) 0 (b) x (c) -4 (d) 0.1
a
Let k be (-1 + (-9)/(-3))/(-2). Let i be (-30)/12 - (k + -2). What is the second smallest value in -2/5, 3, i?
i
Let q = -5 - -4. Let z be 4/(-2)*(6 - 8). Suppose l + 1 = z. Which is the third biggest value? (a) l (b) -0.2 (c) q
c
Let k = -8.8 - -0.8. Let p = k - -10. Let d = 0 + -1. Which is the second biggest value? (a) p (b) 0.4 (c) d
b
Let r be 1021/28 + 6/21. Let m = -71/2 + r. What is the second biggest value in m, -1, 1?
1
Let w = -11 - -7. What is the third biggest value in 30, w, 0.2?
w
Let t = -1.1 + 4.1. Let s be (-1 + 3)/(6/15). What is the smallest value in t, -0.5, s?
-0.5
Let p = 1.4 + -3.4. Which is the third smallest value? (a) 0.3 (b) 0.6 (c) p
b
Let f be (-6)/(-21) - (-32)/(-14). Let z be (-96)/117 - f/3. Let t = 0.5 - 0. Which is the second smallest value? (a) z (b) t (c) 2
b
Let r = 0.2 - 0.15. Let d = -0.05 + r. What is the smallest value in 2, d, -4/7?
-4/7
Let k = 1.3 + -1.5. Let j = -0.2 + k. Which is the second smallest value? (a) 4 (b) -2/7 (c) j
b
Let s = -12.6 - -13. Let i be 9*(-1)/(-7) + -1. What is the second biggest value in i, s, 0.1?
i
Suppose -3*q + 12 = 3*q. What is the smallest value in q, -1/5, 0.1?
-1/5
Let j = 8.2 + -4.9. Let w = j + -0.3. Let r = -2.4 + -0.6. Which is the third biggest value? (a) r (b) w (c) -4
c
Let g = -3/19 + -4/95. Let i = -0.29 - -0.69. Let u = 1 + 3. What is the second smallest value in u, i, g?
i
Let v = 3 - 14. Let u = 11 + v. Which is the biggest value? (a) -2 (b) -2/7 (c) u
c
Let v be -2*(0 + 3 + 1). Let i = 11 + v. Suppose -c = -2*g - i, 13 = 3*c - 3*g + g. What is the third biggest value in c, -0.1, 0.5?
-0.1
Let u be (-3 - 31/(-10))*(-8 + 0). Let g = -7 - -4. Which is the biggest value? (a) 3/7 (b) g (c) u
a
Let t be (0 + 6)*63/90. Let r = -4 + t. Let h = -2 - -1. What is the second smallest value in 4, r, h?
r
Let v = -1.04 - 0.16. Let r = 0.2 + v. Let l = 0.6 + r. What is the second biggest value in 3/4, 2/9, l?
2/9
Suppose -15*b = -17*b + 2. What is the smallest value in 0.4, -0.4, -2/7, b?
-0.4
Let f = -3/7 + 1/7. Let m = -2.9 - -3. Which is the biggest value? (a) m (b) f (c) -4
a
Let z = 0.029 + -0.329. Which is the third smallest value? (a) -2 (b) z (c) -1
b
Let h = -4 + 5. Let u = -0.5 + h. Let y(w) = -3*w + 6. Let p be y(2). Which is the second biggest value? (a) p (b) u (c) -2
a
Let l = -0.23 + -0.07. Let m = -119 - -114. Which is the third smallest value? (a) -1 (b) l (c) m
b
Let o = -11.6 + 12. Which is the third biggest value? (a) o (b) 0.2 (c) -1
c
Let o = -8 + 3. Let r = -1.2 - 0.8. Which is the biggest value? (a) o (b) r (c) -0.3
c
Let m be 2*15/6 + -2. Let u be (-2)/m*(-15)/(-85). Suppose -w - 11 = -4*v, w - 25 = -3*v - 2*v. Which is the second smallest value? (a) w (b) u (c) 1/3
c
Let z = -2 - -2.1. Let f = z + 1.9. Which is the third smallest value? (a) -2/3 (b) f (c) -4
b
Let o = 3/40 + 71/120. What is the smallest value in o, -1, 0?
-1
Let m = -30.8 + 31. What is the fourth biggest value in 5, -5, -9/2, m?
-5
Let l be -8 + 3 + 0/3. Let r be ((-4)/(-5))/(1/l). What is the smallest value in -2, 1, r?
r
Let l = 352/45 - 38/5. Let x = -20 - -7. Let h = x - -12.6. Which is the third smallest value? (a) l (b) h (c) -0.2
a
Let j(z) = -3*z**2 + 7*z + 1. Let b be j(3). Let r(a) = a + 5. Let c be r(b). What is the smallest value in -5, c, 3?
-5
Let s = 4.11 + -0.11. Let d = s - 4. Let c = -0.7 - 0.3. What is the biggest value in d, 5, c?
5
Let s = -0.26 + 0.06. Let f = s + 1. Let y = f - 1.1. What is the second biggest value in 0.3, -2, y?
y
Let d = 0.218 - -0.082. Let p = 2.5 + -3. What is the smallest value in p, -1/5, d?
p
Let q = -105/4 - -27. Let m be ((-12)/(-21))/(-1 + -1). Let b = -6 + 5.6. What is the smallest value in m, q, b?
b
Let q = -4273/45 - -95. Which is the second biggest value? (a) -0.2 (b) 0.4 (c) 1/3 (d) q
c
Suppose -3*p - 3*u + 4 = 7, 13 = 2*p - u. Let r = 0 - p. Which is the second smallest value? (a) r (b) 3/4 (c) 3
b
Suppose 10 = r - 6*r. Let w be (-4)/(4/8*r). Which is the second biggest value? (a) w (b) 5 (c) -4
a
Let n = 5.33 - 0.33. What is the second biggest value in -4/5, n, -4?
-4/5
Let d(r) = -2*r**3 + 57*r**2 - 27*r - 30. Let l be d(28). Suppose 4*z + 13 = -3*b - 4, -2*z = 4*b + 16. What is the third smallest value in l, -0.1, b?
-0.1
Let b be (-1)/(3/(-2) + 2). Let s = -2 - b. Let u be s + 2 + 44/(-21). What is the third smallest value in 0.2, 5, u?
5
Let w = 0.29 - 0.49. Let t = -1.95 + -0.05. Let z = -2 - t. What is the second smallest value in 1/5, w, z?
z
Let r be (-2)/2 + 6/14. Suppose -35 + 73 = -19*g. Which is the biggest value? (a) 0.5 (b) r (c) g
a
Let v = 12.4 - -2.6. Let s = v - 14.62. Let q = s + -0.08. Which is the second biggest value? (a) -1 (b) q (c) -0.03
c
Let l = 0 - 1. Let f = l - -0.8. Let p be (-3 - -1)*(-6)/4. Which is the smallest value? (a) f (b) -0.4 (c) p
b
Let w = -0.6 - -0.6. Let t = 2.3 - 2. Which is the third biggest value? (a) w (b) t (c) -1
c
Let w(a) = a**3 - 26*a**2 + 25*a - 18. Let d be w(25). Suppose 5 = -0*n + 5*n. What is the third smallest value in n, -3, d?
n
Let m(z) = 2*z**3 - 4*z**2 + 4*z + 4. Let f be m(6). Let w = f - 7266/23. Let n(u) = -u**2 - 4*u + 2. Let j be n(-4). What is the biggest value in w, j, 5?
5
Let j = -0.41 + 0.31. Which is the third biggest value? (a) 0.04 (b) j (c) -3/4
c
Let b = 28.2 - 25. What is the third biggest value in -4, b, -0.5, 4?
-0.5
Let i be (6/46)/((-18)/(-12)). Which is the second biggest value? (a) i (b) -0.1 (c) -4
b
Let k = 6 - 1. Let f = -1/3 - -5/9. Which is the biggest value? (a) f (b) -2 (c) k
c
Suppose -3*j + 13 = 5*v, 2*v + 4 = -2*j + 6. What is the third smallest value in j, -5, -1/3?
-1/3
Let l = -3.8 - -3.9. Which is the fourth smallest value? (a) l (b) 0 (c) -1/6 (d) 5
d
Let y(h) = 2*h**2 + 2*h. Let b be y(-2). Let z(u) = b - 2 + 2*u**2 - 3*u**2. Let a be z(2). What is the second smallest value in 2/7, a, 0.3?
2/7
Let y = 8 - 10. Which is the third biggest value? (a) 3 (b) y (c) -3/8
b
Let w = -0.1 - -0.1. Let t = w - 1. Let y = -30 - -32. What is the smallest value in 0.5, y, t?
t
Let t = 32.4 - 32. Which is the third smallest value? (a) -0.5 (b) -1 (c) t
c
Let s = -18 + 13. Let c be (-1)/(-2) + (-3)/(-17). Let p = 3/17 - c. What is the third smallest value in s, -3, p?
p
Let x = -1.044 - -0.044. Which is the third smallest value? (a) 0.5 (b) x (c) -4 (d) -0.08
d
Let v = -0.08 - 0.02. What is the second smallest value in v, -3, 4?
v
Let t(d) = -d**3 + d**2 - 2*d + 1. Let p be 2/(-7) + 27/21. Let k be t(p). Let h be (k/(-8))/(3/(-6)). What is the second smallest value in 1, 2/15, h?
2/15
Let z = -5353/17 + 315. Let p = 36/289 + -53609/1156. Let o = p - -46. Which is the third smallest value? (a) 4 (b) o (c) z
a
Let b = 36.2 + -36. What is the second biggest value in b, -33, 0.1?
0.1
Let r be 10/20*(2 + 0). What is the third biggest value in -0.1, r, 0.3?
-0.1
Let f = -12 + 25. Let v = f - 13.5. What is the smallest value in v, 3, -2?
-2
Let q = 843/260 - 477/182. Let w = -5/28 - q. Let t = -55/366 + -1/61. Which is the second biggest value? (a) t (b) -0.2 (c) w
b
Let d = -12 - -10.7. Let q = -2.7 + d. Let m = -0.3 - 1.7. What is the third smallest value in q, m, -2/3?
-2/3
Let g = -23.1 - -23. What is the smallest value in 0.1, 4/3, g?
g
Let q = 1.5 - 1.8. Which is the smallest value? (a) 0 (b) -3 (c) q
b
Let j = -136 - -137. What is the third biggest value in j, 0.4, 0.049?
0.049
Let a be (11 + -2)*(-2)/(-6). Let n be 2*((-14)/12 - -1). What is the biggest value in -4/7, a, n?
a
Let u = 11/26 - 12/13. What is the third biggest value in u, 1, -1?
-1
Let g = 41.9 - 40. Let v = -6.9 + g. Which is the third smallest value? (a) 5 (b) v (c) -0.4
a
Let h(k) = -k**2 - 4*k + 5. Let y be h(-4). Let o = -0.0026 - 0.4974. What is the biggest value in y, o, -4?
y
Let i = -1.17 + 2.17. What is the biggest value in i, -4, -5?
i
Let r = -1/14 - -4/7. Let x = 5 - 7. What is the second smallest value in 5, r, x?
r
Let u = 35
|
{
"pile_set_name": "DM Mathematics"
}
|
w = s, f*s + w + w = o for s.
5
Let f be ((-24)/(-16))/((-2)/(-52)). Let x = f - 34. Suppose -x*q - 4 = -14. Solve 2*c = q*d + 6 + 6, -2*d = 4 for c.
4
Let l(d) = -d**3 + 6*d**2 + 12*d - 31. Let t be l(7). Solve 0 = -4*h - 2*u + 18, -4*h - 3*u + 9 = -t*u for h.
3
Suppose 5 + 13 = -z. Let q = z - -21. Solve -3*c = -3*n, 4*n + 3 = q*c + 1 for n.
-2
Let j = 991 - 986. Solve -4*i - 20 = -4*v + v, 0 = 3*v + j*i - 2 for v.
4
Let w(t) = t**3 + 11*t**2 + 16*t - 15. Let j be w(-9). Solve -2*x = n + 4*n - 27, j*x + 2 = n for n.
5
Suppose -6*v - 22 = n, -2*v - 14 = -6. Solve n*t - 4*p - 20 = 0, 0*t + p = -t - 5 for t.
0
Let c(j) = -2*j**3 - 3*j + 4. Let i be c(-4). Let q = i - 141. Solve 5*o - 40 = -5*t, -t + 8 - q = 0 for o.
3
Let m(c) = c**2 - 2*c + 5. Let f be m(0). Suppose 5*y + 5*v = 10, 4*y - 4 = -3*v + f. Solve -q + y*l = -2, -2*l - 14 + 2 = 2*q for q.
-4
Suppose -s = -5*l + 3, -s - 3 = -2*l - 0*s. Solve -6*g - 5*n = -3*g - 16, 4*g - 5*n + 2 = l for g.
2
Let f be 55/15 + (-2)/3. Suppose 13 = 2*z + c, c = -z - 3*c + f. Suppose z*g - 6*g = 17. Solve -5*u - 2*n = -4 - 21, u - 4*n = -g for u.
3
Suppose 12 = -u - 1. Let x = -1007 + 999. Let o = x - u. Solve 3*b = b + 4*l - 18, 0 = -o*b + l - 9 for b.
-1
Let p be 0/3 + (-2 - 1) - -8. Suppose 0 + 4 = 4*z + 2*r, -4*r - 8 = 0. Solve 2*i = -z*y - 2*y - 4, -p*y = 5*i + 10 for y.
0
Let v be 9 - (9 + -13 - -5). Solve -3*p = -4*i + v, 11 = -2*p - 4*i - 1 for p.
-4
Suppose 4*w + 12*n = 9*n, w = 4*n. Solve -j + 5*h = 18 + 7, w = -4*j + 5*h - 25 for j.
0
Suppose 23 = 5*q - 22. Let k = 1 - -4. Let x = 1865 + -1850. Solve 3*a + 3*u - u = -q, u = k*a + x for a.
-3
Let l = -434 - -462. Let u = -4 + 6. Suppose 5*a = u*a + 6. Solve 4*f + l = 4*m, -a*m - 4*f = -4*m + 20 for m.
4
Let o be (12/9)/((-51)/(-45) - 1). Suppose 47*b = 45*b + o. Solve -3*x + p - 1 = -5, -2*p - b = -5*x for x.
3
Let x = -45 - -47. Suppose -5*m + y + 6 = -2*y, 8 = 3*m - 4*y. Suppose -3*g + 19 - 1 = 0. Solve -a - 3 = x*b - b, 4*b + a + g = m for b.
-1
Let n be (3 - 3/(-3)) + 2. Suppose n*c - 10 = 4*c. Solve 2*o + 27 = c*l, 4*l - l - o - 16 = 0 for l.
5
Let a be (-17 + 17)/(0 + 5). Solve a = -s - 3*r - 7 + 2, -4*s - r - 20 = 0 for s.
-5
Suppose 0 = -0*n + 3*n - 6. Suppose -n*r - 2*j = r - 23, -4*r - 2*j + 28 = 0. Solve 3*w - 4*u = -10, 0 = -r*w - 4*u - 0*u - 6 for w.
-2
Let d = 700 + -655. Solve -4*s + 2 = -c - 13, -5*s = 4*c - d for c.
5
Let s be (-628)/471*(-3)/2. Let t = 0 - 0. Solve t = -y - s*y + 9, -2*z = -y + 1 for z.
1
Let f(g) = g**3 - 23*g**2 + 42*g + 6. Let i be f(21). Solve -2*y + 3*b + i = -4, -4*y + b = 0 for y.
-1
Let b be ((-23)/5 + 2)/(2/(-10)). Let t(h) = -h + 17. Let i be t(b). Solve y - i*d - 1 = -5*d, 0 = 5*y + 3*d - 3 for y.
0
Let x = -2 + 2. Let n = 65 - 63. Suppose 0 = -h + 3*s - 7, -n*s + 4*s + 6 = 2*h. Solve 0 = -3*w + f + 8, w - 3*f = -x*w + h for w.
2
Let f(d) = -d**2 + 15*d + 4. Let t be f(15). Suppose 0 = t*g - 0*g. Solve 2*i - 2 = -g*m + m, -17 = -2*m - 3*i for m.
4
Suppose 0 = 40*x - 38*x + 152. Let c = x - -81. Solve 5*r = -3*d - 8, -2*r + 3*r + 24 = c*d for d.
4
Let q be (0 - -1) + 2 + -1. Let d be 1 + (q - 5) - -8. Let f be d/12 - 2/4. Solve -20 = 3*w - 4*y, f = 5*w - 2*y + 5*y - 15 for w.
0
Suppose -5*z + 4*g + 12 = 0, 4*g = -5*z - 0*z - 12. Suppose 2*y + 5*y - 14 = z. Solve y*k + 12 = 2*i, -2*k - 16 = -5*i + 8 for i.
4
Suppose 0 = 134*n - 127*n - 28. Solve -32 = n*f + 4*l, f - 13 = 3*f + l for f.
-5
Let j be (-5*1/(-15))/((-3)/(-27)). Solve 4*t = -j*f - 10, f + 2 = -2*t - 4 for t.
-4
Let a be (-21)/(-63)*(1 - -8). Solve -5*l - 7 - 3 = -2*h, -a*l = h - 5 for h.
5
Let z(j) = j**3 - 8*j + 9. Let c be z(1). Solve -2*u + c*t + 3*t + 14 = 0, 4*t = 3*u - 14 for u.
2
Let g(l) = l**2 - 10*l - 8. Let n be g(11). Suppose -2*m + n*a = m + 6, -12 = -4*m - a. Solve 4*w = -3*v - m*v - 8, -v = -4*w + 16 for v.
-4
Suppose 253*c = 247*c + 12. Solve -4*r - 18 = 2*b, -4*r - c = 18 for b.
1
Let p = -13 + 18. Suppose -2*b = 2*b - 8. Suppose 5 = b*t - p. Solve -f + 19 = t*x, 5*f - 34 = -3*x - 5 for x.
3
Let s(x) = x + 47. Let v be s(-42). Solve 0 = -d - 3*h + 18, -h = -5*d + v + 5 for d.
3
Let k = 0 + 3. Suppose 0 = -a + k. Suppose q - 8 = -a*q. Solve -2*p + 3*l = 15, p - q*p - 9 = -2*l for p.
-3
Let u(q) = -q**2 - 18*q - 67. Let n be u(-12). Solve 3*g - 5*g = -4*k + 24, -5*g - k = n for g.
-2
Let t = -45 - -85. Suppose -5*u + t = 3*u. Solve -2*j - 4*g + 18 = -j, 2*g - 18 = -u*j for j.
2
Let h be (-4)/10*(-255)/34. Solve -d - 9 = 3*q, 5*q + 5*d = h*d - 16 for q.
-2
Suppose 45 = 2*j - 5*u, -4*u - 87 = -4*j - j. Suppose -2*k + 5*k = j. Let v = k + -5. Solve -4*q + 0*q = 4*g + 8, v = 2*q - g - 11 for q.
3
Suppose -2*h + 15 = 5. Suppose 0*l - 3*l - 91 = -4*d, -3*l - 110 = -h*d. Solve -d = 5*t + o, -5*t = -0*t + 3*o + 27 for t.
-3
Let s = 1084 + -1077. Solve -35 = 3*q - 3*y + s*y, -3*y - 5 = -2*q for q.
-5
Let z = 11 - 9. Suppose -2*a = -2*s - 3*s - 5, 2*a = -z*s + 12. Suppose 2*g = i - 0*i - 5, -5*g + 25 = 5*i. Solve 4*l = y + 13, l - a = 2*y - g*y for l.
3
Let a = -598 - -608. Solve -24 - 12 = 4*t + 4*c, 2*t = 5*c + a for t.
-5
Let b = 41 - 36. Solve -5*h + 1 = 4*n, -5*n + 15 = -b*h - 20 for h.
-3
Suppose -7*t + 2*t = -11*t. Solve 4*z + 18 = b - t*b, -25 = 5*b + 3*z for b.
-2
Suppose -9*m + 5 = -10*m. Let g(u) = u**3 + 5*u**2 + 2*u + 12. Let q be g(m). Solve 3*l - 1 = y - l, -q*y + 10 = 4*l for y.
3
Let k = 2 - -3. Solve -3*y + 5*v - 10 = 0, k*y + v + 0*v + 26 = 0 for y.
-5
Let h = 31 + -30. Suppose 2 + h = f. Solve i = -5*d - 4, -6*i + f*i = d + 12 for d.
0
Let a be (-25 + 27)*(-2)/(-2). Solve -2*n + 4*i + 2 = 0, -i - a = i for n.
-1
Let p = 89 + -85. Suppose -5*q = -2 - 3. Solve f = 3*d - q, -f = 2*d - p - 5 for f.
5
Let o = 408 - 408. Solve -5*h - 5 = -3*w, -2*h + h - 1 = o for w.
0
Let o = 494 - 492. Solve o*z - k - 5 = 0, -2*z + 2*k - 6*k = 10 for z.
1
Suppose 4*d + 13 = 37. Suppose -d*a + 30 = 6. Solve a*c = -m, 0*c + 4*c = 0 for m.
0
Let o(w) = -w**2 + 10*w + 3. Let f be o(10). Suppose f*z = 4*z - 3. Solve -5*x - s = 3, 0 = z*x - x - s + 4 for x.
-1
Let i be 1 - (-4 - -2) - (-11 + 11). Solve a = -2*x + 4*a - 10, -13 = -x - i*a for x.
1
Let u be 1/4 + 755/20. Let p = -16 + u. Let j be ((-2)/(-3))/(p/99). Solve j*z - z + 9 = -b, 0 = 4*b - z for b.
-1
Let a be (-6)/27 + (-29)/(-9). Suppose -5*q + 5 = k + a, -q = -k + 2. Suppose -2*o - k*o + 20 = 0. Solve 5*p = 2*g - 3*g - 4, -o*p - 2 = 3*g for p.
-1
Let d be (-78)/(-30) - 2/(-5). Suppose -3*a = -3*p + 15, -4*p + a = -16 + 11. Solve 3*g - 4*f + 23 = p, d*f = 2*g + 12 + 4 for g.
-5
Let r be -5 - (-64)/14 - 1098/(-14). Let f be r/21 + (-2)/(-7). Solve -2*o - f*b - 2 = 4, -4*o = 5*b for o.
5
Let v(d) be the first derivative of d**4/4 + 2*d**3 - 5*d**2/2 + 17*d - 1. Let a be v(-7). Let x = 13 + -5. Solve -a*g - 4 = -2*h + 1, 3*h - x = 5*g for h.
1
Suppose 5*p + 8 = 2*p - o, 3*o = -5*p - 12. Let a be (-2)/(-1) - 0*(p + 4). Solve 4*k = -3*h - 14, k + 0*h + 6 = -a*h for k.
-2
Let m = -1092 - -1094. Solve 11 = -3*f + 8*u - 3*u, 10 = m*f + u for f.
3
Let y be (-8)/24 + (-28)/(-12). Solve h - 2*o + 14 = 0, h + y*o + o = 11 for h.
-4
Let c = -34 + 32. Let y be 57/19 - (c + 1). Solve 3*w = -4*x - 2 - 2, -w = 4*x + y for x.
-1
Let f(x) = -3*x**3 + 3*x**2 - 3. Let o(l) = -l**3 + l**2 - l - 1. Let r(i) = f(i) - 2*o(i). Let m be r(-2). Solve 0 = -0*b + 3*b - 6, 3*a = -4*b - m for a.
-5
Let x be -5*((-3)/(-5) + -1). Suppose -2*t - j = -32, 2*j = 4*t - 3*j - 50. Suppose -t = -4*h - h. Solve 1 = x*n - 5*n + 2*v, 0 = h*n - 4*v + 5 for n.
1
Let n = 707 + -704. Solve -5*j - 9 = 11, n*z + 26 = -5*j for z.
-2
Suppose 65*f + 8 = 67*f. Suppose -f*q - q = -q. Solve -5*x + 5*d = -25, q = 3*x - 0*x - d - 13 for x.
4
Let l = 2695 - 2686. Solve -4*x - 20 = m, -4*m - 5 + l = -5*x for x.
-4
Let s = 755 - 744. Solve 7 = -3*c - 2*g + 16, 5*c - s = -2*g for c.
1
Suppose -3*u + 2 + 1 = 0. Let c(v) = -3*v + 4. Let x be c(0). Let n = x - u. Solve n = -h, -4*m = -0*m - 2*h - 26 for m.
5
Suppose 10 = 4*q - 6. Let m(g) = -2*g + 4. Let k(d) = -2*d + 3. Let p(t) = -5*k(t) + 4*m(t). Let w be p(1). Solve 17 = 2*y + w*j, -3*j = q*y - 3*y - 16 for y.
1
Let l = -8 - -10. Suppose 5*k - 21 = 2*m, 0 = -4*m + 2*m + 3*k - 11. Let j = -3 + 5. Solve -v + j*v = -l*u + 2, -m*u + 8 = -2*v for v.
-2
Let c(y) = -4*y + 2. Let u be (-3 - -3)*
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose v = -m + 5*w - 1, 0 = 5*m - 2*w + 2. What is m rounded to one decimal place?
0
Let y be 0 + 2 - (-6)/3. Let d(l) = 650*l**3 - 4*l**2 + 2*l - 6. Let z be d(y). Let q = -32462 - z. Round q to the nearest ten thousand.
-70000
Let z(v) = 312*v**2 + 3*v + 8. Suppose -2*g - 1 + 31 = 0. Let l be (-18)/g*(-20)/3. Let s be z(l). Round s to the nearest ten thousand.
20000
Let t be -4 - 5/((-20)/2536). What is t rounded to the nearest one hundred?
600
Let i = 68.999893 + -69. What is i rounded to five decimal places?
-0.00011
Let k = 20 - 21.7. Let t = k + -6.3. Let r = -7.966 - t. Round r to two dps.
0.03
Let j(z) = 263*z**2 + 2*z + 4. Let f(m) = -790*m**2 - 6*m - 12. Let x(s) = -6*f(s) - 17*j(s). Let h be x(-4). What is h rounded to the nearest 1000?
4000
Let b = 21 + -21.00000036. Round b to seven dps.
-0.0000004
Let l(c) = 34*c - 2. Let y be l(2). Let w be (-3 - 0 - -4) + y. What is w rounded to the nearest ten?
70
Let w = -18 + 16.6. Let p = -0.6 + w. Let l = -2.00000045 - p. Round l to seven dps.
-0.0000005
Let r(i) = i**3 + 4*i**2 - 4*i + 4. Let s be r(-5). Let l be 389999/1 - (s - 0). Round l to the nearest one hundred thousand.
400000
Let j = 1.199991 - 1.2. What is j rounded to five decimal places?
-0.00001
Let k = -19.1 + 0.1. Let q = -92375 + 92355.9948. Let h = k - q. What is h rounded to three decimal places?
0.005
Suppose 4*g - w = 22, 0 = -3*w - 3 - 3. Let s be 968 + 2/5*g. Round s to the nearest 100.
1000
Let m = -42.99999946 - -43. What is m rounded to seven dps?
0.0000005
Let f = -4.43 + 4.2. Let j = -0.22999966 - f. Round j to 7 decimal places.
0.0000003
Let j = 306.000274 - 306. What is j rounded to five decimal places?
0.00027
Let q = -4055557335.99999774 + 4055557191. Let f = -145 - q. Round f to seven decimal places.
-0.0000023
Let q be (-8)/(-12) - 11992/(-12). Round q to the nearest 10000.
0
Let m(g) = -7638*g**3 + 2*g**2 + 7*g + 2. Let w be m(-2). What is w rounded to the nearest ten thousand?
60000
Let i = -14416.0015 + 14413. Let j = -3.5 - -0.5. Let o = i - j. What is o rounded to three decimal places?
-0.002
Let d = -0.04599391 - -0.046. What is d rounded to 6 decimal places?
0.000006
Let a = 103.334 + 32.636. Let b = 0.06 - -136.94. Let r = b - a. Round r to one decimal place.
1
Suppose -3*o + 79 = -731. Round o to the nearest 100.
300
Let c be 5950/(-20)*(-12)/7. What is c rounded to the nearest one hundred?
500
Suppose 0 = r + 4*f - 324, -f = -r + 24 + 275. Suppose n - r = 3*n. What is n rounded to the nearest ten?
-150
Let i = 88 - 12. Let o = -75.388 + i. Let r = 0.51 - o. Round r to 2 decimal places.
-0.1
Let l = -369410070 + 369410021.0000023. Let k = l + 49. Round k to 6 dps.
0.000002
Let q = 23.44746 + -23.6414677. Let t = -24 + 23.806. Let n = q - t. Round n to 6 decimal places.
-0.000008
Let x = -217207.9922 + 217279. Let w = x + -71. What is w rounded to three decimal places?
0.008
Let z(v) be the first derivative of -10*v**3/3 + v + 7. Let d be z(-2). Round d to the nearest 10.
-40
Let r = 4.43 + -5. What is r rounded to 1 dp?
-0.6
Let g be 1*(-2 + 8/2). Suppose 6 = -2*a + 4*a + 3*z, -g*a + 5*z - 10 = 0. Suppose -4*m + 5*s - 4 = 0, a*m = -m + 4*s - 12. Round m to zero decimal places.
4
Let i(c) = -c**2 + 17*c - 34. Let h be i(16). Round h to 0 decimal places.
-18
Suppose 4*v = -5*q - 8016, q + q + 3192 = 2*v. Let g be q*10*2/8. Let t be 70*36/21*g. Round t to the nearest 100000.
-500000
Let h = 424 + -724. What is h rounded to the nearest one thousand?
0
Suppose 0 = 3*i - 0*q + 5*q - 297015, 2*q - 495006 = -5*i. What is i rounded to the nearest ten thousand?
100000
Suppose -12*f = -16*f - 476000. What is f rounded to the nearest ten thousand?
-120000
Let p = -21 - -38. Let k = -62 + p. What is k rounded to the nearest 10?
-50
Let p = 242 - 164. Let r = -78.00074 + p. Round r to 4 dps.
-0.0007
Let d = -0.3 - 1.7. Let x = -10438.230002 - -10436.23. Let s = x - d. Round s to 5 dps.
0
Let o = -9.5 + 12. Let c = o + -2.499956. What is c rounded to five decimal places?
0.00004
Let p = -65.336 - -65. Let w = 0.26 + p. Let s = w + 0.07599941. Round s to 7 dps.
-0.0000006
Let i = 687.6343 + -682.79707497. Let s = i - -0.16277477. Let z = s + -5. Round z to six dps.
0
Suppose 4*s + 5485 = 3*z, 4*z - 4*s - 4059 = 3261. Round z to the nearest 100.
1800
Let i = -5 + -11. Let z = 2142.23 + -2158. Let n = z - i. Round n to 1 decimal place.
0.2
Suppose 4*b + 8595 = 2131. Let u = b + 6116. Round u to the nearest 1000.
5000
Let h = -324 + 259.4. Let z = h + 71. Round z to the nearest integer.
6
Let t = 0.105 + -1.135. Round t to 1 dp.
-1
Let n = 6.52 - 693.52. Let p = -682.235 - n. Let a = -0.065 + p. Round a to the nearest integer.
5
Let i = 3 + -1. Let x be i - 4 - 207996/2. What is x rounded to the nearest ten thousand?
-100000
Suppose 5*z - 20674 - 67421 = 0. Suppose 4876 - z = f. Let n = f + 8543. What is n rounded to the nearest 1000?
-4000
Let d = 1616 - 1615.98951. Let w = d + -0.01. What is w rounded to four dps?
0.0005
Let n(u) be the first derivative of -57143*u**2 + 2*u + 3. Let b be n(7). What is b rounded to the nearest 1000000?
-1000000
Let r = -10 - -9.95. Let n = r - -0.04. What is n rounded to 2 decimal places?
-0.01
Let w = -4.76 + -4.28. What is w rounded to one decimal place?
-9
Let a = 3.32 - 2.9. Round a to one decimal place.
0.4
Let m be 7*(-2323974)/(5 - 3). Let t = -15633909 - m. What is t rounded to the nearest 1000000?
-8000000
Let k(t) = 1651*t**2 + 9*t + 2. Let j be k(7). Let l = 54466 - j. Let q = l + 17198. What is q rounded to the nearest 1000?
-9000
Let v = 1561492 + -1561492.999997. Let c = v + 1. What is c rounded to 5 dps?
0
Let w = 12 - 12. Let k = -0.1 - -0.098. Let i = w - k. Round i to three decimal places.
0.002
Let g = 0.05 - 0.049981. Round g to 5 dps.
0.00002
Suppose -4*o = -2 + 10. Let r(k) = -4*k + 7 + 0*k - 4 + 44*k**2 + 6*k. Let u be r(o). What is u rounded to the nearest 10?
180
Let b be (0/2 + -30)*248/(-6). Round b to the nearest 100.
1200
Let g = 3.3 - 3.43. Let p = 0.58 + g. Let x = p + 2.85. Round x to the nearest integer.
3
Let b = 1 - -2. Let j(s) = 34*s - 2. Let f be j(b). What is f rounded to the nearest 1000?
0
Let x = 42594 + -42592.39944. Let a = 3.5 - 1.9. Let t = a - x. What is t rounded to 4 dps?
-0.0006
Suppose 5*a - 125413 - 360837 = 0. Let n = -67250 + a. Round n to the nearest 100000.
0
Let s(l) = 2*l**2 - 2*l. Let q be s(2). Suppose -g + 190000 = q*g. What is g rounded to the nearest 10000?
40000
Let h = 2.12 - 2. Round h to 2 dps.
0.12
Let s = -1 + -1. Let i be (-6)/4*(s - 0). Let v be ((-50)/(-3))/(i/(-900)). Round v to the nearest 1000.
-5000
Let t = 1.24 + 99.76. Let l = 85.8 - t. Round l to zero dps.
-15
Let o = 7.3 - 7. Let t = -0.826 - -1.19. Let z = t - o. Round z to two dps.
0.06
Let i = 0.057 - 0.0365. Round i to two dps.
0.02
Let y = -58.66 - -58. Let a = y - -0.06. Let n = -0.6000003 - a. Round n to 6 decimal places.
0
Let c = -210 + 36. Let d = -67 - c. Let k = d + -106.9999902. What is k rounded to six decimal places?
0.00001
Let v = 25.499998273 + -25.5. Round v to seven decimal places.
-0.0000017
Let y = -3023039 + 3023084.00058. Let z = -0.017 + -44.983. Let x = z + y. Round x to 4 decimal places.
0.0006
Let k be (-3)/1*254/3. Let a = -104 - k. What is a rounded to the nearest one hundred?
200
Let w = -0.08 - 0.18. Let v = -0.26102 - w. Round v to four dps.
-0.001
Suppose -4*o + 94887 = -3*v, -2*o - 3*v - 47445 = -4*o. Let q = -5279 - o. Round q to the nearest 10000.
-30000
Let j = -873.07 - -805.4. Let k = -159 - -92. Let v = j - k. What is v rounded to 1 dp?
-0.7
Let m = 0.168 - 0.15. Round m to two decimal places.
0.02
Let w = 0.3883 + -0.39. What is w rounded to 4 dps?
-0.0017
Let j = 48.82344 + 0.07156. Let q = j + 0.105. Let s = -48.9959 + q. Round s to three decimal places.
0.004
Let d = 59824 - 59822.99996. Let r = d - 1. Round r to four dps.
0
Let b = -9 + 6. Let f = 6 + b. Let q = f + -2.999936. What is q rounded to 5 decimal places?
0.00006
Let y = 90.049 - 90. Round y to 2 decimal places.
0.05
Let d = 12 + -7. Suppose 32395 = 2*y + 2*y + 5*m, -5*m - d = 0. Round y to the nearest 1000.
8000
Let b(j) = -2*j**3 - 5*j**2 - 5*j - 5. Let u be b(-4). Let o be 14/u + 22/(-18). Let g be o/4 + 22400002/8. Round g to the neares
|
{
"pile_set_name": "DM Mathematics"
}
|
= 36 + -11. Suppose -6*t + 5*t - 88 = 4*o, 0 = 5*t - o + 356. Let f = d - t. Is f a multiple of 11?
False
Suppose y + 156 = -3*w + 4*y, 0 = w - 3*y + 48. Let h = w + 64. Let o(d) = d**2 + d - 19. Does 13 divide o(h)?
True
Suppose 3*o - 101787 = d, 5*o - 44088 = -5*d + 125577. Is 174 a factor of o?
True
Suppose 2*f - 1075 = 5*v, 30*v - 34*v + 4228 = 8*f. Is f a multiple of 10?
True
Let g = 131 + -59. Let h be (-1 - 1)/((-10)/235). Let z = g - h. Is z even?
False
Let t = -75 - -77. Suppose 10 = 2*h, -t*h = -0*y + 2*y - 154. Does 8 divide y?
True
Suppose 0 = 21*p - 17663 - 61549. Does 7 divide p?
False
Suppose -6*v + 75 = 9*v. Suppose v*n - 523 = -q, 3*n + 3*q - 309 = -0*q. Does 9 divide n?
False
Let b be (-32)/(-3)*(-120)/(-16). Suppose 3*z - z - 4 = 0, -3*t + b = -5*z. Is t a multiple of 5?
True
Let v = -1088 + 1641. Suppose 7*c = 833 + v. Is c a multiple of 33?
True
Let h(q) = 25*q - 60. Let d(x) = -13*x + 30. Let b(f) = 9*d(f) + 4*h(f). Is b(-4) a multiple of 12?
False
Is 19 a factor of 432/(-324)*21630/(-4)?
False
Let n(x) = 8*x**2 + 4*x - 5. Let z be n(1). Suppose 0 = 2*h - z*h + 865. Is h a multiple of 20?
False
Let w(o) be the third derivative of 7*o**4/12 - 35*o**3/6 + 10*o**2. Is w(12) a multiple of 17?
False
Suppose -144405 = -103*h + 257742 - 86967. Does 34 divide h?
True
Let x(d) = -4*d + 18. Let c be x(9). Let h = c + 18. Suppose h*r - 66 = -3*r. Is r a multiple of 6?
False
Suppose 391612 + 1897808 = 126*c. Is c a multiple of 19?
False
Let s be 6/39 - 63/(-13). Let l(i) = 7*i**3 - 6*i - 11. Let r(o) = -6*o**3 + 6*o + 10. Let h(g) = s*l(g) + 6*r(g). Is h(-5) a multiple of 14?
False
Let g be (-370)/(-3)*18/5. Suppose -4*l - 3*r = -592, -3*l - 19*r + 14*r + g = 0. Is 4 a factor of l?
True
Let a = -2210 - -19552. Is a a multiple of 43?
False
Let u(l) = 18*l**2 + 36*l + 206. Does 13 divide u(48)?
False
Suppose -5*j = -l - 15, 6*l + 22 = -8. Suppose -x + j*b + 655 = -0*b, -3*b + 660 = x. Does 19 divide x?
False
Suppose -3*l = -4*i + 179, 13 + 35 = i - 4*l. Let a = i - 37. Suppose -156 - 138 = -a*u. Is u a multiple of 25?
False
Let u(i) = 10*i**3 - 4*i**2 + 6*i - 7. Let n be u(3). Let z = n - 64. Suppose -5*l - 2*v = 12 - 236, -4*l - v = -z. Is 10 a factor of l?
False
Suppose 30*m + 86034 + 1503662 = 148*m. Is 16 a factor of m?
True
Let n(s) = -s**3 + 12*s**2 + 15*s + 7. Suppose 78 = 31*x - 25*x. Is 5 a factor of n(x)?
False
Let j = -64 - -68. Suppose 14 = 2*p + 4*r, -3*r - 2*r = j*p - 28. Suppose -t + 63 - p = 4*b, 3*t - 93 = 3*b. Does 9 divide t?
True
Is -1730*(4/30)/((-230)/3105) a multiple of 18?
True
Let d = 941 - 939. Suppose -3*t - 5*v + 853 = 0, 16 + 521 = d*t - 3*v. Is 46 a factor of t?
True
Suppose 5*o - 610 = 110. Suppose o = 6*r - 300. Is r a multiple of 57?
False
Suppose -119*b + 116*b + 9 = 0. Let v(m) = -2*m**3 - 2*m + 1. Let y(s) = 3*s**3 + s**2 + 2*s - 2. Let h(x) = 4*v(x) + 3*y(x). Is 5 a factor of h(b)?
False
Suppose -18*z - 94*z = -420448. Is z a multiple of 84?
False
Suppose -54*j + 83*j - 41354 = 0. Is j a multiple of 2?
True
Is 65 a factor of 4563*(55/(-15))/(-11)?
False
Suppose -4*l + 5*y = -21, 3 - 8 = 5*y. Suppose 4*f - z = -63, 5*f = f + l*z - 72. Let w = 35 + f. Does 5 divide w?
True
Let b be -1 - (-5 + 72 - -2). Let j = b + 574. Suppose 0 = -6*w + j + 60. Is 8 a factor of w?
False
Suppose -31*m + 63*m - 199200 = 0. Does 83 divide m?
True
Suppose 7*m - 593 + 110 = 0. Let r = m - 9. Is r a multiple of 15?
True
Let i be (0/2)/(-18 + 20). Suppose 6*c + c - c = i. Suppose 2*o = 3*y - 414 - 79, c = -4*y - 4*o + 624. Is y a multiple of 23?
True
Let c(a) be the third derivative of -a**6/120 - a**5/15 - 5*a**4/24 - a**3/3 - 25*a**2. Let t be c(-4). Is 362/9 + -6 + (-4)/t a multiple of 6?
False
Let k(i) = 6*i**2 + 59*i + 13. Let t be k(-12). Suppose 159 = 4*o - j, 2*o + 2*o + j - t = 0. Does 41 divide o?
True
Suppose 0*y = 4*v - 2*y + 308, v = -3*y - 91. Suppose 21*r - 565 = -5*j + 23*r, -4*j - 4*r + 480 = 0. Let c = j + v. Does 10 divide c?
False
Let j be 0*(-5 - -7)/((-4)/(-2)). Suppose j = 19*z - 7502 + 320. Is z a multiple of 6?
True
Let w = -7076 - -19989. Is 14 a factor of w?
False
Let y = -24 - -27. Let m(i) = -i**3 + 4*i**2 + 1. Let b be m(y). Let q = 84 - b. Does 37 divide q?
True
Let m = 280 + -105. Suppose 111 + m = g. Is 13 a factor of g?
True
Suppose -143778 = -98*v - 28*v + 17250. Does 6 divide v?
True
Let h be 1/4 + 3/4. Suppose 0 = -s + 4*n + 562, -h = -5*n + 14. Is s a multiple of 41?
True
Let p(s) = -s. Let b(v) = -51*v - 51. Let x(a) = b(a) - 4*p(a). Suppose 0 = 41*r + 437 - 109. Is 13 a factor of x(r)?
True
Let l be 1 + 6 - (-17 + -219). Suppose 0 = -w - l + 756. Is w a multiple of 27?
True
Suppose 7*i - 7909 = 47951. Is 42 a factor of i?
True
Let c be 13/(39/18) - 3. Suppose r + 0*r - 13 = -d, -39 = -c*r + 4*d. Is 23 a factor of r + -9 - (-1 + -104)?
False
Suppose 0 = -18*l - 9*l + 3861. Suppose -131*j + l*j = 9504. Is 18 a factor of j?
True
Let j = -38562 + 68509. Does 90 divide j?
False
Let s be 6*((-565)/(-10))/1. Suppose 188 - 12 = 2*x + 4*z, 4*x - 5*z - s = 0. Is 43 a factor of x?
True
Suppose 1018*m - 14498 = 1007*m. Is 41 a factor of m?
False
Is -9*(-31358)/126 + (-12)/14 + 1 a multiple of 5?
True
Let g = 38362 + -17012. Is g a multiple of 10?
True
Is 116 a factor of (252 - -15)*(4622/30 - 15/(-25))?
True
Suppose 5*x + 80 = -0*m + 2*m, -4*m - 3*x = -108. Suppose -4*o + m = 10. Suppose -4*w + o*r - 68 + 393 = 0, 315 = 4*w + 5*r. Is 40 a factor of w?
True
Let w(b) = 2*b**2 + 14*b - 16. Let c be w(-12). Let k = 243 - c. Let x = k + -11. Does 16 divide x?
True
Does 4 divide (33 + 3)/(1/13)?
True
Let p(m) = m - 2. Let o be 7 + ((-4)/6)/(1/3). Let x be p(o). Suppose -5*u = x*a - 240, -3 - 12 = -3*a. Is 9 a factor of u?
True
Is (4465/10 - (-2)/4)/(49/637) a multiple of 13?
True
Let s = -18928 - -20508. Does 158 divide s?
True
Suppose 0 = -1363*c + 1269*c + 115244. Is 64 a factor of c?
False
Suppose -357 + 34294 = 5*d - 3*j, -2*d + 5*j = -13552. Is 17 a factor of d?
False
Suppose 0 = f + 5*r - 52, 6 = f - r - 16. Does 5 divide 25/(2 + f/(-15))?
True
Suppose -5*j = 3*z - 486, -j = -2*j - z + 96. Suppose j = 12*n - n. Let g = n + 0. Does 8 divide g?
False
Suppose -11 + 0 = -f. Let n(r) = 35*r - 286. Is n(f) a multiple of 33?
True
Let f be (-1 + 15)/((-48)/24). Let p(i) = -3*i**2 - 12*i + 5. Let o be p(f). Does 15 divide (-2)/(-3) - o/3?
False
Suppose -2*w - 2*v + 16 = 2*w, -4*w - 4*v + 24 = 0. Let g(x) = 4*x - 4. Let s be g(w). Suppose s*o - 171 = 585. Is 21 a factor of o?
True
Suppose -5*d = -n - 2*n + 671, -4*d = -3*n + 673. Let l = -318 + n. Let r = l - -158. Is r a multiple of 8?
False
Let h(c) = -34*c + 131. Let z be h(-23). Let y = 979 - z. Is y a multiple of 19?
False
Let f(a) = 2*a**2 + 163*a**3 + a + a**2 + 12 - 164*a**3. Let q be f(4). Suppose 11*w - 785 - 183 = q. Does 11 divide w?
True
Let a(y) = -8*y**3 - 12*y**2 - 3*y + 20. Let n(s) = 4*s**3 + 6*s**2 + s - 9. Let v(m) = 4*a(m) + 9*n(m). Is v(2) a multiple of 14?
False
Suppose 23 + 5 = v + 4*r, 4*v - 47 = -3*r. Suppose -430 = 3*g - v*g. Let d = 21 + g. Is d a multiple of 27?
False
Suppose -4*r + 0*t = -4*t + 12, -5 = -5*r + t. Suppose 4*h = -2*i + 1302, -2*h - 5*i = r*h - 1317. Is 42 a factor of h?
False
Let h be (2*1)/(52/5252). Suppose 64 = v - h. Is 11 a factor of v?
False
Let v be -11*7*(-8 - -13). Let w = v + 872. Does 34 divide w?
False
Let f be 0 + -7 + -1 + 1. Let i(g) = -g**3 + 9*g**2 + 179*g - 1098. Let o be i(6). Does 14 divide (o/15)/(f/(-70))?
True
Suppose 59927 = -25*z + 29*z - 5*i, -5*z - 2*i = -74983. Is 106 a factor of z?
False
Let a be 2/(6 + -3 + 0)*6. Suppose j - j = a*j. Suppose 12*w - 9*w - 90 = j. Does 3 divide w?
True
Let n = -4369 - -8606. Is n a multiple of 223?
True
Let k = -50 + 74. Suppose -3*s = -6*s - k. Let t(d) = -d**2 - 13*d - 12. Does 25 divide t(s)?
False
Suppose 0*a + 3*a = 5*x - 136, 4*x - 3*a = 107. Suppose 15660 = -9*y + x*y. Is y a multiple of 11?
False
Suppose 4*r - 3*h = 77 - 9, 36 = 2*r - 2*h. Let d(j) = -r - 12 + 3 + 11*j + 5. Is d(2) a multiple of 4?
True
Suppose m = -5*w + 199, 3*m - w = 168 + 461. Suppose -6*q = m - 1145. Does 26 divide q?
True
Suppose 4*h = -136 - 68. Let o = h - -54. Suppose -o*v - 10*f + 105 = -12*f, -140 = -4*v + 3*f. Is 7 a factor of v?
True
Let j(h) = 3 + 12 - 9*h
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -37
-34
Calculate -3 + -2 - (-11 + 12) - (-48 + 1).
41
Calculate -2 + -40 - (-2106 + 2206).
-142
Evaluate 1 - (20 + -18 + (-2 - -6)) - (-2 + 55).
-58
What is the value of 12 - 16 - (49 - 1 - 1) - (-370 + 357)?
-38
Calculate -101 + 79 - (5 - (0 + 0 - (-7 + 3))).
-23
(-12 - (-14 + -25 + 4)) + 9 + -1
31
What is (0 - 136) + (9 - (-15 + (9 - -17) - -3))?
-141
-43 - (-69 - 41 - -112)
-45
What is (9 - ((-14 - (-8 - -19 - 38)) + 3)) + -58?
-65
Calculate 26 - (82 - 57) - (103 + 6).
-108
What is (2 - -7) + -164 + 75 + (-31 - -12)?
-99
What is the value of ((-52 - -5) + -2 - 2) + (27 - (-55 - -70))?
-39
Evaluate 64 - (-12 - (36 + -78)).
34
Evaluate (188 - (107 - 54)) + -28.
107
Evaluate -31 - (-24 - 12) - (44 - -5 - -3).
-47
What is (301 - (-7 + 94)) + -111?
103
47 - ((8 - 23 - -29) + 4)
29
What is the value of (-52 - -15) + 45 + -34?
-26
-13 - (-16 - (-6 - -5) - (5 - 11))
-4
-29 - ((-65 - -53) + 13)
-30
Calculate -6 - (39 + -7 + 14).
-52
What is (-13 - (1 + 4)) + 3 + 0 + -13?
-28
126 + -21 + -19 - (-3 - -6 - 0 - -8)
75
-129 + (15 - (-4 + 0 - 10))
-100
Calculate -7 - (-21 + 15 - 15) - -17 - 8.
23
Calculate (-27 - -19) + 70 - 60.
2
What is 21 + -1 + (-188 - (161 + -320)) + 5 + 0?
-4
What is -1775 - -1753 - (1 - (6 + -3 + -3))?
-23
What is 5 + 51 + 15 + -94?
-23
Calculate -13 - (-33 + -7 + 47 + (1 - 1)).
-20
(-1 - -11) + -2 + (-3 - 10) - -67
62
Calculate (6 - -3 - -3) + -22 - -39.
29
Evaluate -29 - (9 + (-3 - 16 - -34)).
-53
What is the value of -11 - ((-74 - 0) + -2)?
65
Calculate (4 - (3 - -20)) + 1 + -25.
-43
-1 + -42 - (-901 + 793)
65
What is -4 + (3 - 5) + -25 + 0 + 11 + 28?
8
Calculate -32 + -64 + (24 - -2 - -10).
-60
Calculate 6 + (4 - -53) + 15 + 3 + -5.
76
Calculate -1 + (17 - ((-21 - -3) + -6)).
40
What is the value of 11 - 1 - ((189 - 188 - (-61 + 0)) + 3)?
-55
Calculate -4 + 10 + -3 + (-18 - (66 + -3 - 31)).
-47
What is 0 + 10 + (23 - 12) - 12?
9
What is the value of 21 + (4 - 35 - (-35 + 41))?
-16
Evaluate (18 - -1) + (-93 + 114 - 58).
-18
What is -2 + 15 - (-26 + -29 - -39)?
29
1 + 9 + (-8 - (33 + -79)) + 23
71
Evaluate -21 + 95 + 464 + -615.
-77
Evaluate -24 + 93 + (-97 - -20).
-8
What is -36 + 50 - -12 - (-7 + -13)?
46
What is the value of (-151 - -173) + -8 + 4 + 2 + 11?
31
Evaluate (4630 - 4619) + (-2 - -4 - 91) + -17.
-95
Calculate -6 + (-4 - (2 - -3 - -5 - 10 - -57)).
-67
-108 - -145 - (-2 + (-2 - (-10 + -5)) - 1)
27
What is the value of -74 - (-6 + -1 - (1 + -3) - (44 - 55))?
-80
What is 122 + (3 - -1) + (27 + 17 - 17) + -27?
126
Calculate (-22 - -11 - (-18 - 3) - (0 - 35)) + -7.
38
Evaluate 8 + (-15 + 7 + 0 - (-9 + -3 - -2)).
10
Calculate -26 + (8 - 4) - (13 - -55 - 84).
-6
What is the value of -2 + -1 + (-10 - -25) + (8 - (33 - 2))?
-11
What is the value of 23 - (5 + -1 + 11 + (-12 - -5 - 1))?
16
What is the value of -4 + 50 + (-18 - -12) + -9?
31
What is the value of (0 - 6 - (-7 + -42 + -11)) + 2?
56
What is the value of (-94 - (53 + -68)) + 89?
10
1 + 2 + (-38 - -16 - -41)
22
-21 + (-4 - -11) - (44 - 27)
-31
(0 - -37) + -62 + 18 + 47 - 19
21
6 + -8 + -10 - -72 - -3 - 4
59
Calculate (20 + -4 - 7) + 10 + -2.
17
What is (48 - -1) + (-12 - (-36 + 31))?
42
What is 17 - (-4 - (0 - (7 + 21)))?
-7
Evaluate (-43 - -1) + -2179 + 2243.
22
What is the value of -1 + 4 + -8 + 65 + -238 + 237?
59
((-32 - -15) + 16 - -12) + (21 - -1)
33
What is 98 - ((35 - 38) + 3 + 2)?
96
((-131 - -58) + -19 - (-1 + -2)) + 19
-70
28 + 0 + -4 + (-63 - -55)
16
(2336 + -2341 - (1 + -1 - -91)) + -14
-110
Evaluate (-4 + -1 - (8 - (29 + (-14 - 11)))) + -41.
-50
What is the value of 50 + -70 + 26 - (-1 - 7)?
14
What is the value of -8 + (50 - (25 + -28))?
45
What is the value of -1 + -3 + (4 - (-11 + (-19 - -5)))?
25
(-27 - -113) + -24 + -64
-2
What is the value of (38 - 5 - (10 - -37)) + (110 - 2)?
94
Calculate -91 + 0 + (12925 - 12941).
-107
Calculate (6 + -15 - -17 - 26 - -15) + -34.
-37
Calculate 28 - (14 - -38) - -49.
25
Calculate -4 + 11 + (-8 + 2 + 2 - -10) + 27.
40
(105 + -104 - (0 - -7)) + 9
3
Evaluate (51 + -93 - -23) + -67.
-86
Evaluate 5 + -33 + 21 + 18 + 6 + 0.
17
Calculate (-27 + 19 - 34) + 80.
38
What is the value of -198 + 169 + (-1 - 3) - (0 - -1)?
-34
What is the value of -151 + 49 + 90 - (0 + -1 + (54 - -1))?
-66
Evaluate 257 + -263 - (3 - (-5 - 8)).
-22
Evaluate -6 + (-39 + 80 - 66 - (-9 + 2)).
-24
Calculate (-1 - 22) + (-72 + 22 - -21).
-52
What is 16 - -1 - (98 + -11)?
-70
Evaluate 5 + -5 + -28 + 12 - 0.
-16
What is the value of (-14 - (53 - 46)) + 43?
22
What is the value of -4 + (-13 - (-10 - -8) - -7 - 32)?
-40
Evaluate 72 + 0 - (-4 - 1 - (37 + (7 - 57))).
64
(16 - 3 - 13 - -18) + 19 + -18
19
What is the value of -24 + (30 - 17) - -1 - 5?
-15
What is the value of 0 - (-3 - (-15 - -5)) - (-21 + 35 + -9)?
-12
Calculate -5 + 4 - (4 + -31 + -2 + -3 + 11).
20
Calculate 114 - 54 - (30 + -8).
38
What is 1 - ((-6 - -10) + 44) - (-15 - (-28 + 10))?
-50
What is the value of -5 + 5 - 21 - -12 - -13 - (-1 - 32)?
37
What is 7 + -1 - (-7 + (-8 - (56 - 14)))?
63
Evaluate -8 - -34 - (4 + 2).
20
Evaluate -2 + -2 + (1006 - 975).
27
Evaluate 2 + 4 + -4 + -22 + -4 - (165 - 162).
-27
Evaluate 36 + 111 + (-11 - 29).
107
(3 - (-1 + 18)) + 27 - (23 - 6)
-4
What is -1 - -6 - (1 - -93 - 60)?
-29
-1270 + 1156 - (-4 + -19)
-91
Calculate 54 - (89 + -162) - (14 - 1).
114
Calculate (4 - -19 - 82) + (15 + -7 - 27).
-78
What is the value of 1 + (3 + -7 - 4)?
-7
Evaluate 11 + (-14 + (-8 - 27) - (1 - -2)).
-41
What is the value of -6138 + 6149 - (1 - -24)?
-14
(-6 - (-2 + 1)) + 180 + -182 + 7 + -29
-29
9 + 31 + (9 - (-1 + (8 - 4 - 5)))
51
What is the value of -2 + (-1 - 45) + (-1 - (7 - (-1 + 1)))?
-56
Evaluate -4 + 7 + (18 - (-2 - -16 - 1)).
8
What is (-49 - 1) + 1224 + -1220?
-46
Calculate -198 + 207 + ((4 + -6 - -6) + 0 - -95).
108
What is 0 + (-8 - -4) + 49 + (13 + -44 - -38)?
52
Calculate (86 - (1 - -89)) + (-4 + 2 - -9 - 2).
1
Calculate (0 - (-8 + (2 - -14) + -18)) + 11.
21
3 + (-1 - 1) + (-4 + 5 + -7 - 20)
-25
What is (1 - 20) + 96 + -89 - (2 - 14)?
0
Calculate (-10 - (-13 + 10 + (11 - (23 - 7)))) + 36.
34
5097 - 5104 - (5 - 4 - 10)
2
10 + (-6 - (-35 - -51))
-12
What is the value of -5 + 44 + -45 + 34?
28
What is 14 - ((19 - (-12 - -8)) + -44)?
35
What is the value of 2 + 89 - (34 + -11 + -9 + -29)?
106
Calculate -95 + 162 + -65 + -89.
-87
1 - (-75 + (71 - 63) + 4 + (4 - 3))
63
What is -8 + 16 + -6 - (1 + -34 - 3)?
38
What is 9 + (-12 - -10) + -7 + (2 - 42)?
-40
10 + (13 - (20 - (45 - 17)))
31
What is 31 + 19 + 1 + (7 - 15 - 6)?
37
What is -118 + (-5 - -14) + -9 + 8?
-110
What is (51 - 3) + 3 - (-1094 - -1058)?
87
What is -8 - (-24 - (2 - (66 - 17)))?
-31
Evaluate (-8 - -8) + -8 + (7 - 10 - (48 + -3)).
-56
What is the value of 3446 - 3440 - (0 + -65)?
71
What is the value of (-22 - (-72 + 62)) + -13?
-25
What is 3 + -1 - (-58 + 210 + -129)?
-21
2 - 15 - (47 + -81 + 9)
12
Calculate 76 - (20 - -28 - (38 + -7)).
59
(-1 - 1 - (22 + -9)) + (182 - 251)
-84
-23 - (-2 + -62 + 16 + -16)
41
Evaluate -77 - -135 - (103 - -11).
-56
Evaluate -1 + -32 - (213 + 15 - 206).
-55
Calculate -120 + (1 - -65) + -10.
-64
Calculate 11 + -2 + (0 - (-2 - -24)) + 12 + 78.
77
Evaluate -6 - ((1 - 8) + 6) - (12 - (29 + -54)).
-42
What is the value of 12 + 3 + (-6 - -7) + -12 - (1 - 41)?
44
Evaluate 890 + -817 - (67 + -3).
9
What is the value of 381 + -311 + (-1 - 57)?
12
What is the value of -26 + (-11 - -25) + -11 + -5?
-28
(-68 - (45 + -150)) + 4
41
-21 + -35 - -55 - -72
71
-154 - ((102 - 247) + 82)
-91
57 + (105 - (50 - -68))
44
Calculate -46 - (-29 - 6) - (0 + -13) - -4.
6
What is (3 - 1) + 26 + (15 - 39 - -1)?
5
(-6 - (-20 + 38 + -49)) + (-13 - 125)
-113
Calculate -47 - (-109 - -225 - 75).
-88
What is (-65 + -2 - -8) + -12 - (15 - 20)?
-66
-729 + 616 + -5 + 3 + 50
-65
What is -96 - (-2 + -31) - -52?
-11
23 + 13 + -59 + 78
55
Evaluate -26 + 17 + 38 + -14 - 59.
-44
Evaluate 1 + -2 - (5 + (-2 - -17) - (28 + 79)).
86
Evaluate -20 + (-50 - (-14 - 88)).
32
103 + -19 - -67 - 93
58
Evaluate (-121 - (23 - 94) - (2 + 0 + -11)) + 6.
-35
(2 + -1 - 3) + (1 - 22 - (-275 - -389))
-137
(-26 - (-1 + -3)) + (-27 - -8)
-41
What is the value of 23 - ((57 - (127 + -71)) + (0 - 0))?
22
What is the value of 37 + -38 - (1 + -9 - (-1 + 0)) - -79?
85
Calculate -16 - -21 - 111 - -45 - 4.
-65
What is the value of -43
|
{
"pile_set_name": "DM Mathematics"
}
|
*d**2/2 + 8613*d/2 + 7623 = 0. Calculate d.
-231, -33/2, -2
Let -3*q**4/5 + 909*q**3/5 + 1839*q**2/5 - 549*q = 0. What is q?
-3, 0, 1, 305
Factor 5*i**4 + 681505*i**3 + 23222794000*i**2 + 23222112500*i.
5*i*(i + 1)*(i + 68150)**2
Factor -3*j**3 - 651*j**2 + 71043*j - 70389.
-3*(j - 79)*(j - 1)*(j + 297)
Factor -u**2/3 - 10924*u/3 + 72960.
-(u - 20)*(u + 10944)/3
Determine i so that -3*i**4 + 48*i**3 + 1323*i**2 - 5772*i + 5916 = 0.
-17, 2, 29
Factor -9*o**3 - 159*o**2 + 2241*o - 729.
-3*(o - 9)*(o + 27)*(3*o - 1)
Determine o so that 4*o**3 - 247308*o**2 + 494588*o + 741900 = 0.
-1, 3, 61825
Factor -211*s**5/2 - 5087*s**4/6 - 92*s**3/3.
-s**3*(s + 8)*(633*s + 23)/6
Factor -p**2 + 297724*p - 22159895044.
-(p - 148862)**2
Let 2*w**4/7 + 9456*w**3/7 - 9462*w**2/7 - 18916*w/7 = 0. What is w?
-4729, -1, 0, 2
Factor -73*h**3 + 6279*h**2 - 135063*h + 1849.
-(h - 43)**2*(73*h - 1)
Factor 3*q**4 + 14109*q**3 + 28206*q**2.
3*q**2*(q + 2)*(q + 4701)
Factor 4*f**3 + 724*f**2 + 11648*f - 2157568.
4*(f - 43)*(f + 112)**2
Factor -2*f**2/9 - 2030*f/9 - 4052/9.
-2*(f + 2)*(f + 1013)/9
Suppose 6084*c**4 - 2141880*c**3 - 4197644*c**2 + 219488*c - 2832 = 0. What is c?
-2, 1/39, 354
Let -4*v**3/21 + 153854*v**2/7 + 230782*v/21 = 0. Calculate v.
-1/2, 0, 115391
Factor -p**2 + 17344*p - 138688.
-(p - 17336)*(p - 8)
Factor -3*c**3 - 9*c**2 + 264*c + 1260.
-3*(c - 10)*(c + 6)*(c + 7)
Find k such that 4*k**3 + 14360*k**2 + 12670000*k - 393132000 = 0.
-1810, 30
Let y**2/5 - 11177*y + 111766/5 = 0. What is y?
2, 55883
Find c such that -26*c**3/11 - 3764*c**2/11 - 23832*c/11 + 62928/11 = 0.
-138, -114/13, 2
Solve -310*k**5 + 5535*k**4 - 13140*k**3 - 3265*k**2 + 18420*k + 2700 = 0 for k.
-1, -9/62, 2, 15
Suppose w**3/6 - 377*w**2/3 + 23390*w/3 - 15092 = 0. Calculate w.
2, 66, 686
Determine h so that 2*h**2/5 - 77194*h/5 = 0.
0, 38597
Determine t, given that 5*t**3/6 + 10895*t**2 + 43575*t/2 + 32680/3 = 0.
-13072, -1
Determine m, given that 5*m**3/4 - 695*m**2/2 - 85545*m/4 - 42075/2 = 0.
-51, -1, 330
Suppose k**2/8 + 373*k + 2983/8 = 0. Calculate k.
-2983, -1
Factor -b**4 + 10092*b**3 - 25391374*b**2 - 356964132*b - 1251107641.
-(b - 5053)**2*(b + 7)**2
What is g in 6278*g**3 - 12586*g**2 + 119*g/2 + 1 = 0?
-1/146, 1/86, 2
Factor -3*m**3/4 + 25011*m**2/4 - 52066593*m/4 - 260958615/4.
-3*(m - 4171)**2*(m + 5)/4
Let 2*s**2 - 64382*s - 64384 = 0. What is s?
-1, 32192
Suppose 6*c**3 + 38210*c**2 - 178428*c + 101968 = 0. Calculate c.
-6373, 2/3, 4
Determine f so that -3*f**5/7 - 150*f**4/7 - 249*f**3/7 + 1842*f**2/7 - 1440*f/7 = 0.
-48, -5, 0, 1, 2
Determine t, given that t**4 + 1358*t**3 + 118493*t**2 + 2554168*t - 5593188 = 0.
-1266, -47, 2
Factor 5*y**3 - 104785*y**2 + 209555*y - 104775.
5*(y - 20955)*(y - 1)**2
Let i**3/2 - 142*i**2 + 4982*i - 24888 = 0. Calculate i.
6, 34, 244
Find g such that -g**4 - 4162*g**3 - 16635*g**2 - 12474*g = 0.
-4158, -3, -1, 0
Find q, given that -2*q**3/19 - 1206*q**2/19 - 122292*q/19 = 0.
-474, -129, 0
Factor -j**4/3 + 175*j**3/3 - 2400*j**2 - 13500*j.
-j*(j - 90)**2*(j + 5)/3
Determine i, given that -i**2 - 6861*i + 6862 = 0.
-6862, 1
Factor -4*n**3/9 - 118052*n**2/9 - 472160*n/9 - 472144/9.
-4*(n + 2)**2*(n + 29509)/9
Suppose -q**3/8 - 9*q**2/4 + 19*q/8 = 0. What is q?
-19, 0, 1
Suppose -2*v**4 + 384*v**3/5 - 522*v**2/5 + 148*v/5 = 0. What is v?
0, 2/5, 1, 37
Solve 2*u**2/15 - 6754*u/15 - 36192/5 = 0 for u.
-16, 3393
Solve k**4 + 94*k**3 + 445*k**2 = 0.
-89, -5, 0
Factor -48078818*u**2/19 + 470688*u/19 - 1152/19.
-2*(4903*u - 24)**2/19
Suppose -u**4/2 + 131*u**3/2 - 5169*u**2/2 + 53181*u/2 + 29241 = 0. What is u?
-1, 18, 57
Solve 5*m**4 + 41495*m**3 + 41490*m**2 = 0 for m.
-8298, -1, 0
Factor 3*z**2 + 7440*z + 896493.
3*(z + 127)*(z + 2353)
Solve -2*f**5/9 - 244*f**4/3 - 4648*f**3/3 - 35024*f**2/9 + 110336*f/3 - 44288 = 0.
-346, -12, 2
Factor x**3 - 5113*x**2 + 10223*x - 5111.
(x - 5111)*(x - 1)**2
Determine a, given that -2*a**4 + 108*a**3 + 1686*a**2 - 108016*a - 221880 = 0.
-30, -2, 43
Find h, given that -6*h**5/11 - 1218*h**4/11 - 59946*h**3/11 + 190962*h**2/11 = 0.
-103, 0, 3
Suppose 2*r**5/9 - 376*r**4/9 + 16666*r**3/9 + 118588*r**2/9 - 751360*r/3 + 716800 = 0. What is r?
-14, 5, 96
Factor -20*b**3 - 2064*b**2 + 3780*b.
-4*b*(b + 105)*(5*b - 9)
Factor 2*g**4/15 - 20522*g**3/5 + 157942442*g**2/5 - 473765762*g/15.
2*g*(g - 15391)**2*(g - 1)/15
Factor 2*u**3/3 + 2812*u**2/3 - 8450*u/3 + 5636/3.
2*(u - 2)*(u - 1)*(u + 1409)/3
Factor x**4/7 - 1707*x**3/7 - 244*x**2.
x**2*(x - 1708)*(x + 1)/7
Find u, given that u**3 - 1014*u**2 + 6053*u - 5040 = 0.
1, 5, 1008
Solve 5*i**2 - 6990*i + 772585 = 0 for i.
121, 1277
Factor -5*f**3 - 259390*f**2 - 3364158605*f.
-5*f*(f + 25939)**2
Determine b, given that -2*b**3/13 - 1585266*b**2/13 - 314132743710*b/13 + 314134328978/13 = 0.
-396317, 1
Suppose -v**2/3 - 7915*v/3 + 7916/3 = 0. What is v?
-7916, 1
Factor 3*u**3 + 258*u**2 + 996*u + 984.
3*(u + 2)**2*(u + 82)
Factor -5*l**3 - 590*l**2 + 12240*l.
-5*l*(l - 18)*(l + 136)
Find b, given that -5*b**3 + 37275*b**2 + 223805*b + 186525 = 0.
-5, -1, 7461
Factor -s**5 + 94*s**4 - 958*s**3 + 3816*s**2 - 6777*s + 4482.
-(s - 83)*(s - 3)**3*(s - 2)
Factor -2*l**5/15 - 11794*l**4/15 + 23596*l**3/15.
-2*l**3*(l - 2)*(l + 5899)/15
Find c such that 4*c**4 - 6536*c**3 - 6548*c**2 + 13080*c = 0.
-2, 0, 1, 1635
Factor -t**2/3 - 3037*t/3 + 3038/3.
-(t - 1)*(t + 3038)/3
Factor 2*c**3/17 - 6*c**2/17 - 92*c/17 + 336/17.
2*(c - 6)*(c - 4)*(c + 7)/17
What is z in z**3/3 - 3698*z**2/3 - 11101*z/3 - 7402/3 = 0?
-2, -1, 3701
Factor -3*w**2/5 - 578392*w/5 + 385596/5.
-(w + 192798)*(3*w - 2)/5
Suppose -3*u**2 - 870*u + 2637 = 0. What is u?
-293, 3
Factor -2*w**3/7 + 23708*w**2/7 - 70234944*w/7 - 140564736/7.
-2*(w - 5928)**2*(w + 2)/7
Factor s**2/8 - 594527*s/2 + 353462353729/2.
(s - 1189054)**2/8
Suppose 2*d**5/15 - 178*d**4/15 - 372*d**3/5 - 452*d**2/3 - 1894*d/15 - 38 = 0. Calculate d.
-3, -1, 95
Find w such that -24*w**2 + 1276*w + 13428 = 0.
-9, 373/6
Factor 3*p**3 + 9015*p**2 - 48*p - 144240.
3*(p - 4)*(p + 4)*(p + 3005)
Factor 2*g**3 + 12784*g**2.
2*g**2*(g + 6392)
Factor -4*b**4 - 8296*b**3 + 16604*b**2 - 8304*b.
-4*b*(b - 1)**2*(b + 2076)
Factor -m**2/5 - 307456*m/5 - 23632297984/5.
-(m + 153728)**2/5
Factor 2*o**2/5 + 6094*o/5 + 858104/5.
2*(o + 148)*(o + 2899)/5
Factor 3*u**4 - 225*u**3 + 1977*u**2 - 1755*u.
3*u*(u - 65)*(u - 9)*(u - 1)
Determine z, given that 5*z**4 - 644840*z**3 + 20791576110*z**2 - 41581217720*z + 20790286445 = 0.
1, 64483
Determine q so that -q**5/4 + 1611*q**4/2 - 8038*q**3 + 51411*q**2/2 - 122071*q/4 + 12045 = 0.
1, 3, 5, 3212
Find c, given that 56*c**3 - 412*c**2 + 480*c - 144 = 0.
1/2, 6/7, 6
Find r such that -3*r**5 + 360*r**4 + 3075*r**3 - 360*r**2 - 3072*r = 0.
-8, -1, 0, 1, 128
Factor 3*g**4 + 45*g**3 + 18*g**2 - 708*g + 936.
3*(g - 2)**2*(g + 6)*(g + 13)
Solve -4*q**2/9 + 33008*q/9 - 68095504/9 = 0 for q.
4126
Solve 2*a**3/7 + 1952*a**2/7 - 5670*a + 149400/7 = 0 for a.
-996, 5, 15
Factor 2*p**2/3 - 2794*p/3 + 200792/3.
2*(p - 1321)*(p - 76)/3
Factor b**3/4 + 20*b**2 - 247*b/4 + 83/2.
(b - 2)*(b - 1)*(b + 83)/4
Find u such that 5*u**2/3 + 308992*u/3 + 123596/3 = 0.
-61798, -2/5
Factor -3*z**2 + 6051*z + 24252.
-3*(z - 2021)*(z + 4)
Let 3*n**4/7 - 279*n**3/7 + 4338*n**2/7 - 21984*n/7 + 28800/7 = 0. What is n?
2, 8, 75
Solve -f**5/4 - 5*f**4 + 33*f**3/2 - 17*f**2 + 23*f/4 = 0 for f.
-23, 0, 1
Factor -4*n**2 + 13300*n + 26616.
-4*(n - 3327)*(n + 2)
Determine l, given that -l**5/2 + 12*l**4 + 171*l**3/2 + 135*l**2 = 0.
-3, 0, 30
What is w in 104*w**5 - 21934*w**4 - 113810*w**3 - 144680*w**2 - 8664*w + 5184 = 0?
-3, -2, -1/4, 2/13, 216
Find p such that -5*p**5 - 1945*p**4 - 18995*p**3 - 17055*p**2 = 0.
-379, -9, -1, 0
Factor -2*t**3/3 + 62402*t**2/3 - 162198386*t - 811512030.
-2*(t - 15603)**2*(t + 5)/3
Factor 2*o**2 - 445420*o + 24799872050.
2*(o - 111355)**2
Solve 2*x**4/15 - 26*x**3/15 + 94*x**2/15 - 14*x/3 = 0.
0, 1, 5, 7
Determine j, given that -j**2/2 + 399856*j = 0.
0, 799712
Factor -3*v**2 - 12297*v + 496680.
-3*(v - 40)*(v + 4139)
Let -q**3/8 + 653*q**2/8 - 10195*q/4 - 5425 = 0. What is q?
-2, 35, 620
Factor 5*t**4/3 - 320*t**3 - 11165*t**2/3.
5*t**2*(t - 203)*(t + 11)/3
Find k, given that -28*k**5 - 418*k**4 + 1488*k**3 - 1080*k**2 =
|
{
"pile_set_name": "DM Mathematics"
}
|
6)) - -3. Suppose -3*p = -k - 10. Suppose 5*l = p*i + 30, 2*i = l - 2*l + 15. What are the prime factors of l?
3
Suppose 10*s = 5*s - 90. Let b = s + 23. Suppose -193 = -b*j - 13. List the prime factors of j.
2, 3
Let a(u) = 4*u - 2. Let k(t) = -t + 1. Let m(p) = -3*a(p) - 8*k(p). Let x(r) = -5*r - 3. Let w(q) = -4*m(q) + 3*x(q). What are the prime factors of w(10)?
3
Suppose -2*y - 542 = -2*x - y, 5*y - 271 = -x. List the prime factors of x.
271
Suppose 3*j - 1257 = -b, 24*b - 27*b = -2*j + 827. What are the prime factors of j?
2, 11, 19
Let u(g) = g**3 + g + 56. Let t be u(0). Suppose 0 = -2*b - 0*i - i - 59, -4*b - i = 123. Let r = t + b. List the prime factors of r.
2, 3
Let w = -271 - -409. Let u = 268 - w. What are the prime factors of u?
2, 5, 13
Suppose -13*g = -14*g + 1. Let k be g/(-3) - (-860)/15. Let c = k - 29. List the prime factors of c.
2, 7
Suppose -5*t = -113*p + 111*p + 2048, 2*t + 5120 = 5*p. List the prime factors of p.
2
Suppose -5*s - 16482 = -3*f, 16482 = 160*f - 157*f - 4*s. What are the prime factors of f?
2, 41, 67
Let j(b) be the first derivative of 4*b**3/3 + b**2 + 19*b + 9. What are the prime factors of j(-6)?
151
Let w(f) = -591*f**3 - 6*f**2 + f - 7. List the prime factors of w(-2).
3, 5, 313
Let z(q) = -q**2 - 14*q + 17. What are the prime factors of z(-13)?
2, 3, 5
Let i = 479 - 139. What are the prime factors of i?
2, 5, 17
Let t(g) = 5*g + 14. Let q be t(-3). Let i = 98 + q. What are the prime factors of i?
97
Let y(v) = 27*v**2 + 2*v + 3. Let h be y(-5). Suppose 2*n - h = -n + 4*p, 4*n + p = 878. Suppose 4*c + c - n = 0. List the prime factors of c.
2, 11
Suppose 3*h + 9 = -3*x, 9 + 0 = -3*x. What are the prime factors of (h + -140)*(-5 + 85/20)?
3, 5, 7
Suppose -44*w + 57*w = 11323. List the prime factors of w.
13, 67
Suppose -4*x - 2*r = -120, 5*x - 136 = 3*r - 2*r. Suppose 8*j - 260 = -x. List the prime factors of j.
29
Let d(v) = -v + 12. Let r(t) = -t**2 + 9*t + 5. Let o be r(7). Suppose -3*a = f - o, 21 = 3*a + 2*f + f. What are the prime factors of d(a)?
2, 3
Let t = -43 + 102. Let k = 126 - t. What are the prime factors of k?
67
Suppose 2*m + x - 22 = 5*x, 5*m - 4*x = 31. Suppose -m*h + 78 + 39 = 0. List the prime factors of h.
3, 13
Let w(j) be the third derivative of 0 - 7/24*j**4 + 1/60*j**5 - 5*j**2 + 0*j + j**3. List the prime factors of w(9).
2, 3
Suppose 0 = -2*j + 4*h + 28 - 4, 0 = -3*j + 4*h + 32. Let s(v) = v**2 - 8*v - 2. Let f be s(j). List the prime factors of 1*f/(-2)*31.
31
Suppose 52170 = -13*y + 50*y. List the prime factors of y.
2, 3, 5, 47
Let l = 395 + -88. Suppose -l = p + 26. What are the prime factors of p/(-12) + (-2)/(-8)?
2, 7
Let l be 10/4 - 10/20. Suppose -28 = -l*c - 2*c. Suppose -4*s = -23 + c. List the prime factors of s.
2
What are the prime factors of ((-1 - -3) + -3)*-223?
223
Let y = -240 + 167. List the prime factors of (-3)/6 - y/2.
2, 3
Let w(m) = -m**3 + 16*m**2 - 10. Let r be w(16). Let p(s) = s**3 + 9*s**2 - 15*s - 9. List the prime factors of p(r).
41
Let p(v) = -3*v + 11. Let j be p(5). Let f be (-6 + (0 - j))*-1. List the prime factors of ((-18)/(-15))/(f/55).
3, 11
List the prime factors of (7 - (-216)/(-40))*2235.
2, 3, 149
Suppose 1158 - 78 = 5*k. Suppose -3*p - 3*q = -k, p - 147 = -p - 5*q. Let y = p + -37. List the prime factors of y.
2, 17
Let o be (-46)/(-10) - 6/(-15). Let g(z) = 56*z - 366. Let y be g(7). Suppose 0 = o*s - 99 - y. List the prime factors of s.
5
Let o(t) = t**3 - t**2 - t - 2. Let y = 8 - 5. List the prime factors of o(y).
13
Suppose -8*i + 3*i = -75. Let m = 41 - i. What are the prime factors of m?
2, 13
Suppose 3*a = -23*k + 25*k - 1586, -4*a - 1582 = -2*k. What are the prime factors of k?
17, 47
Let b(v) = -6*v + 5. Let s be b(5). What are the prime factors of (-2)/5 + (-1435)/s?
3, 19
Suppose -g = 2*d - 1, -6 = 4*g + d - 3. Let b(y) = -86*y + 1. Let r be b(g). Let q = r + -42. What are the prime factors of q?
3, 5
Let g be -3 - ((-4)/2 - 3). Suppose 4*s - 2*a = 284 - 34, 0 = g*s + a - 131. What are the prime factors of s?
2
Let a(f) = 38*f - 327. What are the prime factors of a(44)?
5, 269
Let w(u) be the first derivative of -3 + 4*u + 10*u + 0 + 6 + 2*u**2. What are the prime factors of w(7)?
2, 3, 7
Let y = 562 - -69. What are the prime factors of y?
631
Suppose -8388 = 1020*o - 1029*o. What are the prime factors of o?
2, 233
Let g(n) = -2*n**3 - 2*n**2 - 2*n - 2. Let t be g(-3). Let w be 24/t + (-44)/(-10). Suppose -h + 1 + 13 = q, -2*h - 42 = -w*q. List the prime factors of q.
2, 5
Suppose 0 = 4*t - 16*u + 14*u - 1210, u - 1219 = -4*t. Let h = t + -129. What are the prime factors of h?
5, 7
List the prime factors of 1068/(-16)*(-1 + 388/(-12)).
5, 89
Let u = 2 - -2. Suppose u*g - 2*z - 36 = -7*z, -4*g = 3*z - 44. What are the prime factors of g?
2, 7
Let w be (-38)/(-14) + (-2)/(-7). Suppose 2*l - 7*a = -w*a + 28, -4*l - a = -92. What are the prime factors of l - 6/(-2)*-1?
19
Suppose -2*a + j + 1959 = 3*a, 2*a + j = 778. Suppose 3*b - 392 = 4*w, -3*b = 4*w - a - 9. What are the prime factors of b?
2, 3, 11
Let h be (1 - -2)/((-12)/(-188)). Let n = -26 + h. List the prime factors of n.
3, 7
Let n = -949 + 2066. What are the prime factors of n?
1117
Let w(g) = g**3 - 10*g**2 + g - 7. Let u be w(10). Suppose -191 = -2*q + b - 0*b, 181 = 2*q - u*b. What are the prime factors of q?
2, 7
Suppose -2 = -3*k + 13. Suppose -k*g = -2*g - 312. What are the prime factors of g?
2, 13
Suppose -7*t = -230 - 71. Suppose -t*s = -44*s + 8. What are the prime factors of s?
2
Let c be 2/((-8)/4)*6. Let p be 3/(-1) - c - 0. Suppose p*g = 44 - 14. List the prime factors of g.
2, 5
Let c(q) = 3*q**3 + 4*q**2 - 4*q - 4. List the prime factors of c(3).
101
Let y(x) = 9*x**3 - 15*x**2 - 6*x - 14. List the prime factors of y(7).
2, 7, 41
Suppose -2*z - 4 = -4*x, 2*z + 2*x - 34 = -z. Let u = z - -42. Suppose 3*l - l = u. What are the prime factors of l?
5
Let t be (-1)/(4 - (-105)/(-27)). Let k be (4 - (-42)/t)*-3. Suppose k*u = u + 35. List the prime factors of u.
5, 7
Let i(j) = j**3 + 30*j**2 + 30*j + 13. What are the prime factors of i(-12)?
5, 449
Let b(g) = -g**3 - 6*g**2 - g - 2. Let m be b(-6). Let j be (-1)/2 - (-262)/4. Suppose m*p = -p + j. List the prime factors of p.
13
Suppose -5*m - 5*g = -30, 6 = -5*m + 5*g - g. Let d be (m/6)/((-6)/18). List the prime factors of ((-12)/16)/(d/40).
2, 3, 5
Suppose 3*o = 2*o - 4*p - 219, -3*o + 5*p = 640. Let d = -114 - o. List the prime factors of d.
101
Suppose -3*y = -11 - 1. Let b = y - 2. List the prime factors of -1 - (-28 + b/(-1)).
29
Let u(i) = -11*i - 23. Let h be u(-7). Let c = h + -25. List the prime factors of c.
29
Let r = 8 + 38. Suppose b - 99 = -r. List the prime factors of b.
53
Let s(w) = -54*w + 498. What are the prime factors of s(-74)?
2, 3, 7, 107
Suppose 656 = -42*n + 43*n. List the prime factors of n.
2, 41
Let i = 359 - 119. Suppose -u + 6*u = i. Suppose 3*m - u = -0*m. List the prime factors of m.
2
Let p = -59 - -85. Let v = -13 + p. Suppose 0 = v*t - 15*t + 32. List the prime factors of t.
2
What are the prime factors of 295*1*232/145?
2, 59
Let l(g) = -9*g - 99. Let h(z) = -5*z - 49. Let s(j) = 7*h(j) - 4*l(j). List the prime factors of s(-9).
2, 11
Suppose 25 = -3*i - 11. Suppose -4*t = 51 + 53. Let c = i - t. What are the prime factors of c?
2, 7
Let j(o) be the third derivative of o**6/360 + o**5/60 - o**4/4 + o**3 + 9*o**2. Let d(m) be the first derivative of j(m). List the prime factors of d(-5).
3
Let d(a) = 466*a - 569. What are the prime factors of d(6)?
17, 131
List the prime factors of -1 + 3/9 - 4724/(-12).
3, 131
Let n be 3 + -4*(-1 - 8/(-4)). List the prime factors of 42*(n/2 - -2).
3, 7
Suppose 15 = -t - 4*t - 5*y, 2*y + 5 = -3*t. Let a(r) = -7 + 2*r**2 + 2 - 2*r - t. List the prime factors of a(4).
2, 3
Let j = 7 - 6. Let t be (-7 + 4)*(j + -2). Suppose -13 = -2*f + 3*o, t*f - 1 + 4 = -3*o. List the prime factors of f.
2
Let q(z) be the first derivative of 11*z**2/2 - 13*z - 10. Let w be q(6). Suppose l - f - 4*f = 16, 2*f = -5*l + w. List the prime factors of l.
11
Suppose 4*m + 2*n = 24, 1 = m + 4*n + 2. Suppose m*u = 2*u + 215. What are the prime factors of u?
43
Let m(y) = -y**3 + y**2 + y - 27. Let v be m(0). Let p be ((-14)/6)/((-3)/v). Let s = p
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let s(h) = -h. Let i(u) = -u**2 - 3*u. Let t(w) = i(w) - 3*s(w). What is n(t(v))?
v**2
Let c(n) = 17*n + 2. Let x(h) = -2*h**2. What is x(c(v))?
-578*v**2 - 136*v - 8
Let r(l) be the third derivative of l**4/24 - 3*l**2 + 1. Let w(a) = 16*a. Give r(w(k)).
16*k
Let x(i) be the first derivative of -1 + 0*i - 3/2*i**2. Let r(k) = -3*k. Calculate x(r(h)).
9*h
Let x(r) = -30*r - 1. Let p(q) = 12*q. What is p(x(y))?
-360*y - 12
Suppose 0 = 2*l + 1 - 5. Let n(c) = -l*c + 3*c + 0*c. Let g(d) = 2*d**2. Give g(n(y)).
2*y**2
Let c(d) = 7*d. Let b = -13 - -18. Let z be (-3)/(-12) - (-57)/12. Let l(g) = g - b + z. What is l(c(f))?
7*f
Let a(n) = -10*n. Let k(u) = -16*u. Determine a(k(b)).
160*b
Let t(x) = -x - 2*x + 4*x. Let q(p) = p + 7*p - 2*p. Calculate t(q(n)).
6*n
Let h(z) = 3*z + 2. Let y(x) = 10*x + 7. Suppose -3*t - 6 = -0. Let g(o) = t*y(o) + 7*h(o). Let n(k) = k. Determine n(g(u)).
u
Let q(y) be the second derivative of y**3/3 + 2*y. Let r(n) = 4*n**2. What is r(q(s))?
16*s**2
Let x(q) be the second derivative of q**4/12 - q. Let d(h) be the first derivative of 2 + 8 - h**2 - 11. What is d(x(r))?
-2*r**2
Let p(s) = s**2 - 32. Let a(q) = -3*q**2. Determine a(p(c)).
-3*c**4 + 192*c**2 - 3072
Let p(c) = 2*c. Let h(l) be the second derivative of l**6/240 - l**4/6 + l. Let q(o) be the third derivative of h(o). Calculate p(q(u)).
6*u
Let p(l) be the first derivative of 2*l**3/3 - 1. Let t(z) = -2*z - 2. Let s(g) = 12*g + 8. Let r(c) = s(c) + 4*t(c). Determine p(r(n)).
32*n**2
Let y(k) = 2*k**2 - 40*k. Let t(h) = 16*h. Calculate y(t(z)).
512*z**2 - 640*z
Let o(k) = 2*k**2 + 6*k. Let b be o(-4). Let d = -6 + b. Let j(g) = -g**2 + 0*g**d - g**2. Let t(a) = -a**2. Give t(j(l)).
-4*l**4
Let r(g) = -1 - 2 + 0. Let j(b) = b + 1. Let a(l) = 3*j(l) + r(l). Let c(s) = s - 4. Let k(f) = f - 3. Let p(h) = 3*c(h) - 4*k(h). Calculate a(p(x)).
-3*x
Let f(c) = c + 311. Let u(k) = 2*k. Calculate f(u(a)).
2*a + 311
Let a be -3*(0 - (-6)/9). Let f = 4 + a. Let h(q) = 0*q + f*q + 0*q. Let n(j) = -j. Calculate h(n(y)).
-2*y
Let u(d) be the first derivative of -8*d**3/3 + 2*d + 4. Let t(i) = -2*i**2. What is t(u(k))?
-128*k**4 + 64*k**2 - 8
Let z(r) = r**2. Let i(g) = -92*g. Give i(z(v)).
-92*v**2
Let f(c) = -40*c. Let m(q) be the second derivative of -q**4/12 - 35*q. Give m(f(l)).
-1600*l**2
Let h(i) = i - 9. Let s(t) = -1. Let j(f) = -2*h(f) + 18*s(f). Let y(v) = 17 - 2*v - 28 + 11. Calculate y(j(l)).
4*l
Let f(d) be the third derivative of d**5/30 - 3*d**2. Let h(u) = 7*u**2. Calculate h(f(i)).
28*i**4
Let r(n) be the third derivative of -n**4/12 - 20*n**2 - 2. Let g(u) = -41*u. What is r(g(t))?
82*t
Let f(p) = 2*p**2. Suppose 10*r - 5*r = 0. Suppose 3*y - y = r. Let w(a) = y*a + 2*a - a. Calculate w(f(g)).
2*g**2
Let l(y) = 8*y. Let w(p) = -20*p - 17. Let s(i) = 7*i + 6. Let k(a) = 17*s(a) + 6*w(a). What is l(k(v))?
-8*v
Suppose -5*n - 2*i - 11 = -0*n, 0 = -4*n + 5*i + 11. Let h be 1 - n - 0/5. Let a(q) = -2*q**h + 0*q**2 + q**2. Let g(t) = 3*t. Calculate g(a(y)).
-3*y**2
Let h(t) = 1510*t. Let k(d) = -d**2. Calculate k(h(j)).
-2280100*j**2
Let f(k) = 42*k + 29*k**2 - 42*k. Let h(i) = -i. Give h(f(b)).
-29*b**2
Let n(q) = 2*q. Let p(c) = -c**2 - 6*c - 3. Let b be p(-4). Let r(h) = -h**3 + 4*h**2 + 5*h + 4. Let m be r(b). Let k(g) = -g + 0*g + m*g. Give n(k(z)).
6*z
Let w(j) = 2*j. Let c(v) be the first derivative of v**4/8 + 3*v**2 - 6. Let a(h) be the second derivative of c(h). Determine w(a(d)).
6*d
Let n(y) = -7*y**2 + y. Let o(c) = 12*c. Determine n(o(k)).
-1008*k**2 + 12*k
Let c(r) = -3*r. Let y(v) be the second derivative of -v**3 + 2*v. Calculate c(y(q)).
18*q
Let h(o) = 9*o. Let k(y) = -170*y. What is h(k(c))?
-1530*c
Let s(d) = -42*d**2. Let x(y) be the third derivative of -y**4/12 + 8*y**2. Determine s(x(g)).
-168*g**2
Let u(b) = 2*b**2. Let z(o) = -82*o**2 - 3*o - 1. Give z(u(x)).
-328*x**4 - 6*x**2 - 1
Let s(n) = -n. Let f(i) = -2*i**2 + 5*i**2 - i**2 + 0*i**2. Determine s(f(r)).
-2*r**2
Let b(q) = 2*q**2. Let a(o) be the first derivative of -32*o**3/3 + 17. What is b(a(w))?
2048*w**4
Let k(v) = -393*v. Let x(r) = -2*r. Give k(x(h)).
786*h
Let f(j) = j. Let c(y) be the first derivative of -y**2/2 - y - 2. Let x(w) = -3*w - 4. Let h(t) = -4*c(t) + x(t). Determine f(h(l)).
l
Let m(s) = s**2. Let l(d) = -20*d**2 + 14. Let b(h) = 4*h**2 - 3. Let w(p) = 14*b(p) + 3*l(p). What is w(m(y))?
-4*y**4
Let r(u) = -2*u. Let z(t) = 5*t. Let b(v) = -11*r(v) - 4*z(v). Let h be 8/5 + 10/25. Let w(j) = h*j + 6*j - 4*j. What is b(w(f))?
8*f
Let r(c) be the third derivative of 0*c**3 + 0 - 1/12*c**4 + 0*c - 4*c**2. Let p(y) = 2*y**2. What is r(p(o))?
-4*o**2
Let g(u) = 2*u**2. Let r(f) = 6*f**2 - 3*f. Let c(w) = 24*w**2 - 13*w. Let i(t) = 6*c(t) - 26*r(t). Determine g(i(d)).
288*d**4
Let s(z) = 3*z**2. Let p(w) = 2*w + 3 - 1 + 4. Let o(r) = -2*r - 5. Let c(t) = 6*o(t) + 5*p(t). Determine c(s(q)).
-6*q**2
Let d(i) = -121*i + 2. Let g(n) = n. Give g(d(u)).
-121*u + 2
Let q(w) = 9*w**2 + w**2 - 15*w**2. Let l(o) = o. Calculate l(q(h)).
-5*h**2
Let q(a) be the third derivative of 0 + 1/12*a**4 + 0*a**3 + 0*a - a**2. Let o(s) be the second derivative of -s**4/12 + s. Give q(o(h)).
-2*h**2
Let z(t) = t**2. Let w(b) = -5*b**2 - b. Let n(h) = 11*h**2 + 2*h. Let g(l) = 4*n(l) + 9*w(l). What is z(g(o))?
o**4 + 2*o**3 + o**2
Suppose -2*g = 9 - 29. Let a(r) = -6*r - g*r + 14*r. Let q(m) = 5*m**2. Give a(q(z)).
-10*z**2
Let n(z) = 231*z**2. Let g(k) = -4*k. Give g(n(m)).
-924*m**2
Let j(d) = -2*d**2 + 41*d - 17. Let k(l) = -4*l. What is k(j(o))?
8*o**2 - 164*o + 68
Let z(a) = 4*a. Let h(p) be the second derivative of 1/6*p**3 + 0*p**2 + 0 - 3*p. Determine z(h(c)).
4*c
Let n(b) = 1426*b. Let k(a) = -a. Determine n(k(s)).
-1426*s
Let l(k) = 3*k. Let z(b) = -12 + 3 + 9 + b. Calculate l(z(o)).
3*o
Let c(q) = -q**2. Let r(a) = -5*a**2 + 4. Let u(w) = 6*w**2 - 5. Let p(j) = -5*r(j) - 4*u(j). Give c(p(g)).
-g**4
Let y(p) = 5*p + 0*p - 3*p. Let x(z) be the third derivative of 1/30*z**5 + 0*z**3 + 0*z + 0*z**4 + 0 - z**2. Calculate x(y(r)).
8*r**2
Let r(x) = -47*x**2 - 4. Let c(v) = -3*v. Give r(c(i)).
-423*i**2 - 4
Let x(u) = -6*u. Let o(t) = -311*t. Give o(x(q)).
1866*q
Let s(f) = -7*f**2. Suppose 0 = -4*u - 0*b + 3*b + 12, -2*b + 9 = 3*u. Let l(i) = -6 - u + 9 - i**2. Determine s(l(g)).
-7*g**4
Let z(s) be the first derivative of 11*s**2/2 + 6. Let b(i) = i. Determine b(z(c)).
11*c
Let w(p) be the first derivative of p**2/2 + 5. Let g(a) = -5*a**2. Calculate w(g(x)).
-5*x**2
Let d(r) be the second derivative of -r**4/4 - 17*r. Let j(f) = -2*f - f + 2*f. What is j(d(i))?
3*i**2
Let p(s) = 2*s. Suppose -3*f + 7*f = 36. Let k = -5 + f. Let d(a) = -3 + 3 + 0 - k*a**2. Give d(p(n)).
-16*n**2
Let a(f) = 121*f. Let i(b) = 2*b. Give a(i(s)).
242*s
Let k(o) = -11*o**2. Let j = -3 + 5. Let g(n) = j*n - 2*n + 2*n. Determine g(k(x)).
-22*x**2
Let v(c) = -c**2. Let u(y) = 18*y**2. What is u(v(s))?
18*s**4
Let b(r) = r - 2. Let n(w) = 1. Let t(z) = -b(z) - 2*n(z). Let x(k) be the third derivative of -k**5/60 - 12*k**2. Determine x(t(h)).
-h**2
Let k(b) = 2*b**2 - 2*b**2 - 2*b**2. Let x(f) be the second derivative of 0*f**2 + 1/12*f**4 + 0*f**3 - 7*f + 0. Give k(x(g)).
-2*g**4
Let p(b) = -2*b**2. Let t(x) = 5*x**2 - x**2 + x**2 - x**2. Give p(t(m)).
-32*m**4
Let n(l) = 4*l. Let j(g) be the second derivative of 2*g**3/3 + 8*g. Calculate j(n(c)).
16*c
Let f(l) = 4*l + 3*l + 2*l - 5*l. Let x(z) = 3*z. Determine f(x(o)).
12*o
Let m(b) = -2*b**2. Let p(y) = -27*y. Calculate p(m(l)).
54*l**2
Let s(r) = -7*r**2. Let b be 6/(-27) + (-29)/(-9). Let w(q) = q - 2*q + 2*q - b*q. Calculate w(s(l)).
14*l**2
Let a(n) = -5*n**2. Let b(s) = 9*s. Give b(a(o)).
-45*o**2
Let j(m) = 1159*m. Let z(q) = q. Calculate j(z(y)).
1159*y
Let c(d) = -5*d**2 + 4. Let f(p) be the first derivative of 0*p**2 - 1 + 3*p - 4/3*p**3. Let l(o) = -3*c(o) + 4*f(o). Let y(k) = 2*k. Calculate l(y(q)).
-4*q**2
Let w = 9 + -7. Let a(i) = -7*i + 5*i - w*i. Let j(k) = -k. Determine j(a(s)).
4*s
Let x(m) = -9*m + 5. Let n(g) = 7*g + 6. Let o(v) = -v - 1. Let w(q) = -n(q) - 6*o(q). Determine x(w(k)).
9*k + 5
Let m(v) = 5*v**2. Suppose -4*f = 15 - 35. Let y(x) = 4*x**2 - 2*x**2 + 0*x**2 - f*x**2. What is m(y(p))?
45*p**4
Let k(j) = 2*j**2 - 3*j**2 - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the remainder when 1042119 is divided by 43401?
495
What is the remainder when 22933355 is divided by 282?
269
Calculate the remainder when 2753856 is divided by 458973.
18
Calculate the remainder when 8918571 is divided by 330.
321
What is the remainder when 2603557 is divided by 3243?
2671
Calculate the remainder when 981746 is divided by 770.
766
Calculate the remainder when 39269 is divided by 149.
82
What is the remainder when 261340 is divided by 260?
40
Calculate the remainder when 556977 is divided by 503.
156
Calculate the remainder when 724004 is divided by 748.
688
What is the remainder when 197394 is divided by 212?
22
What is the remainder when 618216 is divided by 17114?
2112
What is the remainder when 192815 is divided by 192611?
204
What is the remainder when 3661989 is divided by 18?
15
What is the remainder when 6901816 is divided by 3450905?
6
What is the remainder when 30281572 is divided by 1316589?
25
Calculate the remainder when 15328 is divided by 1532.
8
What is the remainder when 1197367 is divided by 964?
79
What is the remainder when 5093846 is divided by 1697942?
20
What is the remainder when 97197825 is divided by 97197801?
24
Calculate the remainder when 1074853650 is divided by 29.
28
What is the remainder when 152643 is divided by 778?
155
Calculate the remainder when 286843 is divided by 885.
103
Calculate the remainder when 1465550 is divided by 1465536.
14
What is the remainder when 14071911 is divided by 2734?
13
Calculate the remainder when 1080897 is divided by 525.
447
Calculate the remainder when 85619 is divided by 85225.
394
What is the remainder when 2514070 is divided by 228548?
42
Calculate the remainder when 13317049 is divided by 251.
244
Calculate the remainder when 2712627 is divided by 452103.
9
Calculate the remainder when 23107757 is divided by 2210.
2207
Calculate the remainder when 1716083 is divided by 857987.
109
Calculate the remainder when 448297381 is divided by 7.
0
Calculate the remainder when 862998 is divided by 4495.
4453
Calculate the remainder when 157793 is divided by 4156.
4021
Calculate the remainder when 331974 is divided by 110642.
48
What is the remainder when 105660 is divided by 267?
195
What is the remainder when 21643968 is divided by 7214628?
84
Calculate the remainder when 19347942 is divided by 308.
306
Calculate the remainder when 1989088 is divided by 662954.
226
What is the remainder when 15155 is divided by 2710?
1605
Calculate the remainder when 139275 is divided by 2990.
1735
Calculate the remainder when 201660 is divided by 100775.
110
What is the remainder when 139488 is divided by 93?
81
What is the remainder when 2821871 is divided by 141?
38
Calculate the remainder when 254572 is divided by 331.
33
Calculate the remainder when 1535991 is divided by 127998.
15
Calculate the remainder when 101002851 is divided by 1795.
1791
What is the remainder when 6942098 is divided by 217?
51
Calculate the remainder when 357724 is divided by 178601.
522
What is the remainder when 1915695 is divided by 3684?
15
What is the remainder when 55463 is divided by 24255?
6953
What is the remainder when 42444 is divided by 384?
204
Calculate the remainder when 100126 is divided by 8328.
190
Calculate the remainder when 253491 is divided by 84313.
552
Calculate the remainder when 659740 is divided by 18727.
4295
Calculate the remainder when 3779383 is divided by 669.
202
Calculate the remainder when 168024 is divided by 117.
12
Calculate the remainder when 1274216 is divided by 1047.
17
Calculate the remainder when 1293116 is divided by 666.
410
What is the remainder when 9912455 is divided by 14839?
3
Calculate the remainder when 28706114 is divided by 123.
5
Calculate the remainder when 152612 is divided by 75950.
712
Calculate the remainder when 12900537 is divided by 11846.
243
What is the remainder when 2366561 is divided by 2558?
411
Calculate the remainder when 4033875 is divided by 1434.
33
Calculate the remainder when 37869143 is divided by 1612.
39
Calculate the remainder when 1333323 is divided by 615.
3
What is the remainder when 174603 is divided by 140?
23
What is the remainder when 16731052 is divided by 535?
532
What is the remainder when 3075750 is divided by 443?
1
What is the remainder when 1759949 is divided by 114?
17
Calculate the remainder when 29042682 is divided by 3985.
2
What is the remainder when 1001610 is divided by 688?
570
Calculate the remainder when 519258 is divided by 258843.
1572
What is the remainder when 11662025 is divided by 3182?
3177
What is the remainder when 81940 is divided by 26825?
1465
Calculate the remainder when 192708 is divided by 192.
132
Calculate the remainder when 455343 is divided by 113827.
35
Calculate the remainder when 809871 is divided by 5225.
5221
Calculate the remainder when 91414 is divided by 653.
647
Calculate the remainder when 405757 is divided by 2652.
1
What is the remainder when 1162173 is divided by 938?
929
What is the remainder when 171316035 is divided by 9?
0
What is the remainder when 5429415 is divided by 101?
59
What is the remainder when 1240231 is divided by 941?
934
Calculate the remainder when 15509927 is divided by 304116.
11
What is the remainder when 57696 is divided by 19069?
489
Calculate the remainder when 12644246 is divided by 687.
11
Calculate the remainder when 8119071 is divided by 300706.
9
What is the remainder when 66758 is divided by 1156?
866
What is the remainder when 20257789 is divided by 20257776?
13
What is the remainder when 4987448 is divided by 2493384?
680
Calculate the remainder when 1268958 is divided by 50743.
383
What is the remainder when 3831811 is divided by 152?
43
What is the remainder when 13783357 is divided by 1253032?
5
What is the remainder when 43282 is divided by 1182?
730
What is the remainder when 7047545 is divided by 2105?
5
Calculate the remainder when 260293 is divided by 2479.
2477
Calculate the remainder when 21972175 is divided by 129.
121
Calculate the remainder when 3952068 is divided by 101335.
3
What is the remainder when 12513303 is divided by 154485?
18
Calculate the remainder when 4061921 is divided by 169244.
65
What is the remainder when 6308308 is divided by 1980?
28
Calculate the remainder when 267206 is divided by 66782.
78
What is the remainder when 125603 is divided by 125524?
79
What is the remainder when 17904287 is divided by 2984040?
47
What is the remainder when 42461229 is divided by 822?
819
What is the remainder when 223528075 is divided by 170?
5
Calculate the remainder when 1028003 is divided by 119.
81
What is the remainder when 11089944 is divided by 98?
68
What is the remainder when 9426716 is divided by 615?
611
Calculate the remainder when 239263163 is divided by 1876.
1875
What is the remainder when 63644 is divided by 3533?
50
What is the remainder when 10543380 is divided by 1718?
14
What is the remainder when 172783 is divided by 68?
63
What is the remainder when 956703 is divided by 58?
51
What is the remainder when 2880814 is divided by 1440399?
16
What is the remainder when 29096 is divided by 1458?
1394
What is the remainder when 11580 is divided by 2164?
760
What is the remainder when 16912 is divided by 1464?
808
Calculate the remainder when 6395613 is divided by 1279112.
53
What is the remainder when 2441687 is divided by 100?
87
Calculate the remainder when 5841331 is divided by 261.
151
What is the remainder when 134384 is divided by 8619?
5099
What is the remainder when 3110213 is divided by 3104?
5
Calculate the remainder when 2128705485 is divided by 12456.
12453
What is the remainder when 164823436 is divided by 3?
1
What is the remainder when 379881 is divided by 335?
326
What is the remainder when 229514 is divided by 129?
23
What is the remainder when 7321223 is divided by 837?
821
What is the remainder when 33646906 is divided by 209?
205
What is the remainder when 189772 is divided by 1607?
146
Calculate the remainder when 23246 is divided by 1670.
1536
What is the remainder when 6099693 is divided by 1524800?
493
What is the remainder when 1006273 is divided by 4529?
835
What is the remainder when 3375 is divided by 3120?
255
What is the remainder when 345560 is divided by 2329?
868
C
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0 for x.
-35
Solve 0 = 5*q - 3*b + 7, 12*b - 9*b + 169 + 632 = -399*q for q.
-2
Solve -16*p - w = 52, 2*p + 33797*w - 33800*w - 56 = 0 for p.
-2
Solve 0*w + 20 = 20*f - 2*w + 48, f - 6*w + 5*w + 9 = -4*f for f.
-1
Solve 13*p + 2*p + 1449 = -3*m + 1653, 3*p - 3*m = 48 for p.
14
Solve 35*r - 596 = o - 1193, -23 = r - 3*o for r.
-17
Solve 10*w + 2*w - 99 = -3*h + 48, 3*h = 4*w - 45 for h.
1
Solve -18205*g + 3*x = -18203*g - 9, -15 = -6*g - 3*x for g.
3
Solve 5*j - 56 + 101 = 5*i, -j + 1302*i - 15 = -0*j + 1300*i for j.
-3
Solve -113*x - 17 = -112*x - 21*h + 24*h, 3*x - 6*h - 54 = 0 for x.
4
Solve 2*k + a = -a - 84, -6*k + 172*a = 167*a + 197 for k.
-37
Solve n = -5*p - 1, 2*n = 10976*p - 10978*p - 2 for p.
0
Solve 178*b + i + 351 = 0, 4*i + 392 + 406 = 4*b + 826 for b.
-2
Solve 236*a - i + 2 = 235*a, 2*a = 8*i - 46 for a.
5
Solve -y - 424 = -25*p, -3*y - 43 = p - 63 for y.
1
Solve 3*c + 19*t + 560 = 1605, -157 - 63 = c - 4*t for c.
0
Solve 975474*s = 975470*s + 5*a + 64, s = -5*a - 9 for s.
11
Solve -3440*p + 1 = -3438*p - 5*x, -22*x = 4*p - 98 for p.
8
Solve 3*y - 301*c + 15 = -3*y - 296*c, -2*c + 6 = -2*y for y.
0
Solve 870 - 946 = -l + 19*f, 4*f + 196 = 5*l + f for l.
38
Solve 27*k - v + 146 = 0, -5*v + 1515 = 4*k + 1341 for k.
-4
Solve -3*t + 73 + 71 = 5*c - 11, -3*c - 3 = 32*t + 55 for c.
34
Solve 7*o + 4*t = 8*t - t - 222, 94 = -3*o + t for o.
-30
Solve -7*f + 91 = 14*i, 4455 - 4486 = -5*i - f for i.
6
Solve -5*s + 8*g + 8*g + 176 = 0, 0 = -4*s - 4*g - 44 for s.
0
Solve -y = -2*l + 113, -25*l + 147*l - 62*l = 3*y + 63*l - 174 for y.
1
Solve -44044*l + 4*m = -44024*l + 168, -l - 14 = -3*m for l.
-8
Solve 0 = 3*k + 929*n - 20558 - 10352 + 9528, -79 = -2*k - 3*n for k.
5
Solve -14*a - 146 = -18*a - 2*i, 5*a - 33 = -0*i - i + 151 for a.
37
Solve -2*m - 5*a = -69, -6*m + a = 97 - 320 for m.
37
Solve 5*t = 2*j - 0*t - 32, 2*t + 252 - 201 = -89*j - 321 for j.
-4
Solve -5*k + 187 = -2*v + 170, -37 + 36 = v - k for v.
4
Solve 2*v - 33 - 7 = -9*q, 54*q - 59*q = -v - 2 - 35 for v.
-7
Solve -2*l - l + 6*l + 9*b + 15 + 30 = 0, -10*l = -18*b + 45 + 57 for l.
-12
Solve 2*y - p + 6*p - 31 = 0, -3*p - 184 + 239 = 4*y for y.
13
Solve j - 20 = -5*w, w + 1337*j - 1333*j = 4 for w.
4
Solve -5945*t + 5946*t = o + 6, -3*o = -4*t + 22 for o.
-2
Solve 37*v + 77 = 42*v - 8*q - 10, -5*q + 13 = 3*v - 0 for v.
11
Solve 2*y + 5*v = -7, -3315*v - 3 = -3314*v for y.
4
Solve 5*x - 3699188*r - 36 = -3699184*r, 0 = 2*x - 3*r - 20 for x.
4
Solve 1276*a = -3*r + 1285*a + 324, -5*a = -5*r + 190 for r.
3
Solve -s + 11 = -4*q, -2*s - 12 = -6*q - 42 for q.
4
Solve 12*g = -5*t - 324, 3*g + 324*t = 326*t - 81 for g.
-27
Solve 5*o - 6*o = 5*s + 4*o - 50, -2*s + 50 = 6*o + 6*o for s.
7
Solve -5*f + 54 = 6*q - 15, -24*q + 5*f - 54 = -45*q for q.
-1
Solve -r + 2*r + 24*y = 2*r + 29*y + 110, -542 = 16*r + 22*y for r.
-5
Solve f = -f + 143*q + 423, 5*f - 7*q + 13*q = -2*f + 4*f - 27 for f.
-3
Solve -17*n + 19*n - 11*n - 25 = -2*h, 5 = -5*n for h.
8
Solve 10*p = 5*c + 165, 5*p - 3599*c + 5 = -3600*c for p.
4
Solve -5*l + 2*r - 12 = 0, 4*l - 141*r + 50*r + 12 = -41*r - 46*r for l.
-2
Solve 9845*l - 9846*l + 7 = -3*i, -l = 6*i - 25 for l.
13
Solve -4*v - i = 8, -786*v - i - 1 = -783*v + i for v.
-3
Solve -42*j = -6*j - 2*z + 38, j - 95 = -5*z for j.
0
Solve -2*s - 393 + 441 = 16*r - 5*s, 0 = 4*s for r.
3
Solve 75*i - 157*i + 79*i - 5*m - 33 = 0, -7*i = -3*m - 55 for i.
4
Solve 33*m - 57*m - 2*r = -25*m + 8, 6 + 9 = -5*r for m.
2
Solve -3*h = -n + 23, 3*h = 17*n - 27429 + 27326 for n.
5
Solve -s - 342 = -0*s - 350, 0 = 4*w - 4*s + 16 for w.
4
Solve -3*f - 69 - 2 = -4*a - 8, 68*f - 22*f + 2*a = 234 - 60 for f.
3
Solve -l + 66 = -21*i, -i - 1264 + 1312 = 17*l for l.
3
Solve 0 = 5*v + 5*m + 26 + 59, -v + 2*m = 11 for v.
-15
Solve 0 = -4*m + 6*v + 26, -4*m - 4927*v + 9848*v - 51 = 4926*v for m.
-4
Solve 4*x - 101 = 4*u - 97, 49*u = -2*x - 89*u - 558 for x.
-3
Solve 125*s = w + 122*s, 0 = -29*w + 33*w + 9*s - 63 for w.
9
Solve -5*a - 15 = 4*g, 933*g = 928*g - 25 for a.
1
Solve 4*l + 3*v + 2*v - 4*v = 2*v + 37, -7*v + 5*v - 10 = 0 for l.
8
Solve -4*p - 8*l - 125453 + 125513 = 0, 2*p + 2*l - 30 = 0 for p.
15
Solve -2*a + 641 = 5*k + 654, 36*k - 2*a - 54 = 0 for k.
1
Solve -72*g + 143*g - 80*g + 116 = 4*t, -t - 5*g = -5*t - 52 for t.
2
Solve -l = -42*f + 36 + 104, 9*l = 4*l - 5*f + 71 + 89 for l.
28
Solve 0 = 4*x - 4*l - 5 - 71, -17*l - 6*l = -134*x + 134*x + 368 for x.
3
Solve p + 71*d + 640 = 0, 26*p - 13*p - 16 = 6*p + 5*p + 2*d for p.
-1
Solve -484 = -122*i - b, 5*i - 486148 = -4*b - 486144 for i.
4
Solve 4*p + 10 = 272*j - 273*j + 28, p + 123 = 4*j for j.
30
Solve -x = -4*h - 5*x + 36, 2*x - 12 - 16 = -4*h for h.
5
Solve -2*n + 4*y + 0*y = 2*n - 36, 4*n + n + 77 = 127*y for n.
10
Solve -63*x + 65*x = -15*v + 87, 4*v - 4*x + 823 = 819 for v.
5
Solve -51*r + 15*r - 3*l + 3224 = 2033, 2*r + 2*l - 68 = 0 for r.
33
Solve -i - 4*i + 74 = -15*f + 19*f, -117*f + 2*i = -13 + 517 for f.
-4
Solve 5*g = 2*g + 12, -10*c - 13*g - 13 = -15*c - 10*g for c.
5
Solve c + 1033963*w = 1033961*w + 10, -2*w - 20 = -4*c for c.
6
Solve -91*o + 93*o - 10 = 8*d + 6, 50 = 2*d - 5*o for d.
-5
Solve -5*t = -220 + 240, 3*b - 4*t - 10 = 0 for b.
-2
Solve -2*d = -432*x + 428*x + 14, 4*x = 5*d + 5 for x.
5
Solve 5*x + 3*g = 74, 0 = -134*x + 129*x + 118*g - 2104 for x.
4
Solve -5*w + 3*k + 12 = 0, -8*w - 52*k = -4*w - 2*k - 5*k + 180 for w.
0
Solve 13*h - 105*h - 3*y + 306 = 0, -5*h = -8*h - 5*y + 59 for h.
3
Solve -i + 2*b = -b + 5*b + 67, -179 = 11*i - 5*b + 9*b for i.
-5
Solve -143*h = -141*h - 8*m + 178, -5*h - 3*m = 11 - 72 for h.
-1
Solve -5*q = -152*i + 150*i - 20, -2*i = i - 5*i - 4*q - 56 for i.
-20
Solve 42 - 78 + 66 = -2*x + 2*r, -138 = 11*x - 2*r for x.
-12
Solve -7*f + 304 = 29*c - 6*c, 5*c + 4 = 4*f + 4*c for f.
4
Solve 3*i + 3*l = -5*i + 3*i - 11844 + 11888, i = 4*l - 28 for i.
4
Solve 2*d + 7*z = 5*z + 8, 2*z + 483 = 2*d - 0*z - 474 + 985 for d.
-5
Solve 5*x - 339*r = 8*x - 82*r + 18*r - 12, -r - 2 + 1 = -1 for x.
4
Solve -128762 = -y - 4*s + s - 128747, 3 = 3*s for y.
12
Solve 0 = 3*j, -271*w + 503*w - 40 = 252*w - j for w.
-2
Solve -z = 2*g - 20, -3*g + 5*z + 19*z - 78 = 21*z for g.
-2
Solve -5*y - z + 10 = 0, 32*y - 7*y + 2*z = 5*z + 50 for y.
2
Solve -2*s + 0*x + 5*x = 4, 0 = 5*s + 676*x - 677*x - 13 for s.
3
Solve 51*j - 54*j = 4*k + 55 + 3, -4*k - 46 = -3*j for j.
-2
Solve 5*m + 2*h = -16, 112*h = -42*m + 38*m + 126*h + 268 for m.
4
Solve -5*m + 35 = 5*a, 5*m + 105 - 112 = 9*a for m.
5
Solve 0 = 3*u - u + 56581*f - 56563*f - 312 - 110, 4*u = 3*f - 92 for u.
-5
Solve 2*b - 12 = 4*a - 8, 65*b + 545 - 279 = -2*a for b.
-4
Solve -2*n = x - 2, 4*x - 2*n = 474609 - 474591 for x.
4
Solve 2*p + 5*l = -10*p + 18*p - 583, -6*p - 3*l - 228 = -819 for p.
98
Solve 0 = 2*k + 1720*w - 1757*w + 220, -75*w = -2*k - 76*w + 8 for k.
1
Solve 4*m + 112 = -32*u, 2*m + 2*m = -3*u - 1155 + 1159 for m.
4
Solve 3*z + 4*u = z + 23*u - 34, -2*u = -8 for z.
21
Solve b = -5*k + 143 - 123, 34*b - 33*b = -2*k + 5 for k.
5
Solve 2*d - 7 = -8*a - 3, -5*d - 42*a = -45*a - 10 for d.
2
Solve 2*k - 22*q = 6*q - 24*q + 26, -56 = 14*q for k.
5
Solve 4*r + 68 = 0, 5*r = -5*q + 28902 - 28982 for q.
1
Solve 2*d - 7*i = 26, -i - 131 = 166*d - 171*d for d.
27
Solve -11*d - 13*d = -33*d - 4*t - 51, -2*d = -2*t - 6 for d.
-3
Solve 2183*c - 5*z - 67 = 2186*c, -4*c = -z + 5 for c.
-4
Solve -475 = 5*n - 6*m - 395, -66 = 4*n - 5*m for n.
-4
Solve 2*u + 28*x + 2020 = 236, -2*u + 4*x + 264 = 0 for u.
4
Solve 0 = -b - 4*l + 3, -5*b - 6*l - 24 = -25 for b.
-1
Solve -4*a - 8 = -2*s, -148 = 1831*s - 1794*s for a.
-4
Solve -3760*p = -3756*p - 3*l - 117, -5*p + 145 = -4*l for p.
33
Solve -253 - 44 = 3*i - 16*z, -186 = 2*i + 1374*z - 1384*z for i.
-3
Solve 5*c + 3*j = 53, -1100*c = -1103*c - 4*j + 56 for c.
4
Solve 0 = 1615*h - 1615*h + 4*l - 32, 8*l + 4*l = -3*h + 99 for h.
1
Solve 3*c - 65 = -546*w + 551*w, 43*c = 3*w + 1275 for w.
5
Solve 0 = -8*d + 13*d + 25, 30*c - 78*d - 127 - 129 = -73*d + 219 for c.
15
Solve 238 = -4*m - 2*y + 208, 18 = -2*y for m.
-3
Solve -8*h = 6*f - 89 + 151, -2 = -2*h - 0*f + 2*f for h.
-4
Solve 716 = -50*g + 54*g + 114*w, -105 = -4*g + 4*w + 139 for g.
65
Solve 4*s - 6*s + 87 = -11*s - 32*k, -5*k - 6 - 6 = 2*s + s for s.
1
Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
n 99, 2, -0.2, -5, -2/339?
-0.2
What is the smallest value in 0.5, -3, -0.2, 256/5, 1/4, -1?
-3
What is the biggest value in 3, -2, 246.379?
246.379
What is the second biggest value in 0.46, -4/5, 2.767, 2/5?
0.46
What is the second smallest value in -3, -59, -1364?
-59
What is the biggest value in -4, -0.3, -1/4, -1781, -1.4?
-1/4
What is the third biggest value in -0.4, 4, 7/4, 1/59, 7, 1/7?
7/4
What is the second smallest value in -2, 114, -22, 4?
-2
What is the third biggest value in -1, 0.2, 6696, 0.3, 16, 2?
2
Which is the biggest value? (a) -3287 (b) 1 (c) -2/7
b
Which is the smallest value? (a) 0.39 (b) -1.85 (c) 3/2 (d) 12 (e) -1 (f) -2/3
b
Which is the second biggest value? (a) -5 (b) 1.9 (c) -2.7 (d) 0.1 (e) 1
e
What is the third biggest value in 3, -13, -0.01, 2/5, -0.7?
-0.01
What is the second smallest value in -2/85, -0.3, 4, 1/6, -0.2?
-0.2
What is the smallest value in 3/4, 4, 0.2739, -2, -1/5?
-2
Which is the second smallest value? (a) -1 (b) 434/39 (c) 0.1 (d) -3/5
d
Which is the biggest value? (a) -10 (b) 67 (c) 44
b
Which is the fifth biggest value? (a) -60 (b) 5 (c) 0 (d) 8/9 (e) -4/5 (f) -0.4
e
Which is the third smallest value? (a) -6/5 (b) 5 (c) -13 (d) 1.7 (e) 4/7
e
Which is the fifth smallest value? (a) 0.3 (b) 3 (c) 150 (d) -10 (e) 4
c
Which is the smallest value? (a) -0.3 (b) -3309 (c) -0.8
b
Which is the third smallest value? (a) 5 (b) 2 (c) -609 (d) 0.2 (e) 4
b
What is the second biggest value in 7, 1/7, 1/19, -0.01?
1/7
What is the second smallest value in 0.03, 2, -0.4, -20, 2/17?
-0.4
What is the biggest value in -0.4, 21/2, -1.88, -27?
21/2
Which is the second biggest value? (a) 0.4 (b) -21376 (c) -2
c
Which is the smallest value? (a) -0.1 (b) 2/7 (c) 44 (d) 2/5 (e) 0.5 (f) 14.1
a
Which is the second biggest value? (a) -9/2 (b) -12/283 (c) 17/6
b
What is the second smallest value in -0.4, 0.4, -1/191812?
-1/191812
Which is the third smallest value? (a) 2/37 (b) -4070 (c) 5/6
c
Which is the second biggest value? (a) -0.4 (b) -1 (c) 3/4 (d) 10 (e) 0.7 (f) 7
f
What is the second biggest value in 18, -547, -16/9, -2?
-16/9
What is the fourth biggest value in -3/7, 0.03, -0.2, -41?
-41
What is the third biggest value in -0.56, 11/2, 44?
-0.56
What is the third smallest value in -616, 8, 0.146?
8
Which is the fourth biggest value? (a) -3 (b) 2/9 (c) -341 (d) 7 (e) -4
e
Which is the fourth biggest value? (a) -2/5 (b) 0 (c) 1/4 (d) 1 (e) 4/5 (f) 33.4
c
Which is the fourth biggest value? (a) 0.2 (b) 2/203 (c) -0.2 (d) 0.3
c
Which is the biggest value? (a) 23710 (b) 1/3 (c) 1
a
What is the second smallest value in -4, 4, 51, 0.2, 26?
0.2
What is the fourth smallest value in -0.3, 1, -20995, -4?
1
Which is the fourth biggest value? (a) 0.2 (b) 0 (c) -3/17 (d) -14.67
d
Which is the third biggest value? (a) -343.7 (b) 2/5 (c) 0.2 (d) -1/6 (e) -31 (f) -1/11
f
What is the fifth smallest value in 3, -2, -3, -4999, 1/15?
3
What is the third biggest value in -3, -4, -8433?
-8433
What is the biggest value in 5, 5.6, -2, 85/6, -0.23?
85/6
What is the third smallest value in 140, -475, -2/9, 5?
5
Which is the biggest value? (a) 10 (b) 1/16 (c) -483 (d) -1/7
a
What is the biggest value in -4/9, 3, 44/281, -4?
3
Which is the biggest value? (a) -3 (b) -5227 (c) -2 (d) 1/4 (e) -0.3 (f) -0.08
d
Which is the second biggest value? (a) 0 (b) -25 (c) 3/4 (d) 2 (e) -7
c
Which is the third smallest value? (a) 864 (b) -153 (c) 1
a
What is the fifth smallest value in 0.4, 1, -0.22, -1/4, 16/5?
16/5
What is the smallest value in -3, -185, 40, -0.4, 1?
-185
What is the second biggest value in -5, -23, 143/7?
-5
Which is the fourth biggest value? (a) -13/4 (b) 4523 (c) 0.1 (d) -2/17
a
Which is the third smallest value? (a) -4 (b) -0.1 (c) 10/7 (d) -86/5 (e) -5
a
Which is the third smallest value? (a) 5 (b) -3 (c) -15257 (d) -3/4
d
What is the third smallest value in -3/386, 1/3, -3, 15/14, 5?
1/3
What is the fourth smallest value in 4, -4, -84, 3/31, 0.1, 0?
3/31
Which is the second biggest value? (a) 1/5 (b) 4.4 (c) -0.05 (d) -5
a
What is the second smallest value in 3, -4/5, -2, 19?
-4/5
Which is the fourth smallest value? (a) 3 (b) 1/820 (c) -6 (d) 1 (e) -0.4
d
Which is the second smallest value? (a) 2 (b) -1.1 (c) 0.04 (d) 5 (e) -93
b
What is the biggest value in -2.2, 6, 2/15, 5?
6
Which is the second smallest value? (a) 1 (b) -0.03 (c) -3/8 (d) 3 (e) 0.4
b
Which is the third biggest value? (a) -4.3 (b) -1 (c) -2/7 (d) -3 (e) -51 (f) 5
b
Which is the third biggest value? (a) 11 (b) 3/7 (c) 9 (d) -2 (e) 0
b
What is the third smallest value in -0.708, -2/3, 7?
7
Which is the smallest value? (a) -8645 (b) 0 (c) 122
a
Which is the smallest value? (a) -19/62 (b) 1/5 (c) -288
c
Which is the smallest value? (a) -0.027 (b) -5 (c) -70
c
What is the third biggest value in 5, -1.15, 0, 1, 4, -6/11?
1
Which is the fifth smallest value? (a) 1 (b) -2/11 (c) -2.1 (d) -15 (e) 8
e
Which is the second smallest value? (a) -0.5 (b) -18/37 (c) 3
b
What is the third biggest value in -0.57, -2, -5, 1.89, 2/13, -4?
-0.57
What is the second smallest value in 2, 1, -2/3, 8, 185, -3/22?
-3/22
Which is the second smallest value? (a) 0 (b) 0.2 (c) -6.652
a
Which is the fifth biggest value? (a) -0.4 (b) -26 (c) -3 (d) 5 (e) -6
b
Which is the smallest value? (a) -5 (b) -0.08 (c) 17/4 (d) -2/5 (e) -2/213
a
Which is the fourth smallest value? (a) -230 (b) 3 (c) 7/3 (d) -2/5
b
Which is the biggest value? (a) -2/7 (b) -5 (c) 3 (d) -2123 (e) -2/29
c
What is the fifth smallest value in 0.2, -4, 3/7, 5, 2/5, 0.6?
0.6
What is the biggest value in 4, -1, 0.17, 3/2, -2?
4
What is the second biggest value in -87, 0.0539, -0.3?
-0.3
What is the biggest value in 3, 0.3, -18635, 4?
4
What is the second biggest value in 4, 0.0155, 1/5, -2/13?
1/5
Which is the fifth smallest value? (a) 865 (b) 1/15 (c) 0.1 (d) 3 (e) 0.5
a
Which is the third biggest value? (a) -1/7 (b) -79 (c) 0.67 (d) 0.5
a
Which is the third smallest value? (a) 0 (b) -0.5 (c) 9 (d) 2 (e) 123 (f) 26
d
What is the biggest value in -26.3, 0.13, 1, -4?
1
Which is the fourth smallest value? (a) 0 (b) 1/5 (c) -0.094 (d) -256/9
b
What is the biggest value in -0.016, -2/7, -0.1, -1/140?
-1/140
Which is the third smallest value? (a) 5 (b) -169 (c) -1/36 (d) -9
c
What is the fifth biggest value in -4/3, 42, -14, 0, -13?
-14
What is the third biggest value in 5/3, -0.16, -3, -19, 3, 13/5?
5/3
Which is the second smallest value? (a) -166 (b) 1/6 (c) 6/23 (d) 2/45
d
Which is the smallest value? (a) 2.808 (b) -0.1 (c) 4
b
What is the biggest value in -5.1, 0.2, 2/5?
2/5
Which is the biggest value? (a) 13 (b) -1054 (c) 2/3 (d) 3/8 (e) 3/7 (f) -4
a
Which is the third smallest value? (a) -1 (b) 8540 (c) 3
b
Which is the sixth smallest value? (a) -0.125 (b) 0.22 (c) -4 (d) -5 (e) 0 (f) 0.2
b
What is the fifth biggest value in -1/6, 2/5, 1/6, -9.91, -1, -0.1?
-1
What is the fifth biggest value in -1/8, 1/75, -0.5, 0.2, -2?
-2
Which is the biggest value? (a) 0.2 (b) -32/155 (c) -5 (d) -0.3 (e) 7
e
What is the biggest value in 153, -128, 1?
153
Which is the fifth biggest value? (a) 0 (b) 2/3 (c) -201.6 (d) -1 (e) -0.09
c
Which is the fifth smallest value? (a) 3/8 (b) 1 (c) -4 (d) -0.00662 (e) -1/4
b
What is the biggest value in 1/10, 11, -292, 0.3?
11
Which is the second biggest value? (a) -2/21 (b) -5 (c) 2.371
a
Which is the second smallest value? (a) 3 (b) 13716 (c) 1/6 (d) -4/7 (e) -0.01
e
Which is the third smallest value? (a) 5 (b) -1 (c) -53 (d) 1
d
Which is the smallest value? (a) 3 (b) 6/19 (c) 9.7 (d) 5
b
Which is the second biggest value? (a) -1/3 (b) -54/5 (c) -0.01
a
What is the biggest value in -3, 0.743, -2, -0.5?
0.743
Which is the second biggest value? (a) 5 (b) -0.08 (c) -1 (d) -0.4 (e) 222/11
a
Which is the second biggest value? (a) 28/69 (b) -4 (c) 1 (d) -0.2 (e) 2 (f) -0.03
c
Which is the second biggest value? (a) -329 (b) 0.06 (c) -3 (d) 0.47
b
What is the biggest value in -1, 0.09, 8119?
8119
Which is the fourth biggest value? (
|
{
"pile_set_name": "DM Mathematics"
}
|
-8037 (base 12) to base 16.
-362b
What is -12224 (base 9) in base 3?
-102020211
What is 7002 (base 12) in base 6?
132002
What is -16156 (base 9) in base 5?
-323232
Convert -1301 (base 5) to base 11.
-173
Convert 11001110101000 (base 2) to base 9.
20123
Convert 52bb (base 14) to base 6.
150033
What is -2a75 (base 16) in base 13?
-4c41
20c (base 16) to base 4
20030
What is -500 (base 12) in base 2?
-1011010000
What is 45c4 (base 14) in base 12?
7028
What is -1111011101001 (base 2) in base 7?
-32033
-152141 (base 6) to base 3
-202020021
What is -111122 (base 4) in base 15?
-615
What is 1039 (base 10) in base 9?
1374
Convert -50251 (base 7) to base 16.
-2f6b
-12b9 (base 15) to base 9
-5433
-203231 (base 4) to base 13
-106a
What is -2122112 (base 4) in base 10?
-9878
-124332 (base 6) to base 14
-41d6
-237 (base 11) to base 12
-1b6
Convert 8491 (base 10) to base 16.
212b
661 (base 7) to base 2
101010001
What is 524 (base 8) in base 12?
244
813 (base 9) to base 8
1224
Convert 416 (base 13) to base 2.
1010110111
What is -111001111101 (base 2) in base 16?
-e7d
Convert 10101000100110 (base 2) to base 8.
25046
Convert 13676 (base 11) to base 9.
28603
What is 203 (base 11) in base 13?
15b
Convert 1ab9 (base 13) to base 6.
30411
What is 101122122 (base 3) in base 5?
222031
11485 (base 11) to base 5
1012144
Convert -5a63 (base 14) to base 11.
-10934
What is 402 (base 7) in base 2?
11000110
Convert 10001101110111 (base 2) to base 13.
4195
What is -110212201 (base 3) in base 11?
-7065
What is 210220 (base 3) in base 9?
726
Convert 31101 (base 6) to base 10.
4141
What is -5501 (base 6) in base 2?
-10011101101
What is -99 (base 10) in base 6?
-243
1201 (base 14) to base 2
110001000001
Convert 96b (base 12) to base 6.
10215
1114340 (base 5) to base 9
30348
-48645 (base 11) to base 6
-1300003
Convert -10101001 (base 2) to base 4.
-2221
What is 8054 (base 12) in base 8?
33100
Convert -259 (base 12) to base 6.
-1353
What is -689 (base 12) in base 13?
-597
Convert 3012 (base 8) to base 14.
7c6
130 (base 10) to base 3
11211
What is 302 (base 13) in base 11?
423
What is 21113 (base 5) in base 10?
1408
1000000010 (base 2) to base 12
36a
What is -212 (base 5) in base 10?
-57
What is 1a19 (base 12) in base 4?
301311
2a4 (base 15) to base 9
741
-280 (base 12) to base 16
-180
4350 (base 6) to base 7
2631
What is -4126 (base 8) in base 9?
-2831
Convert -12433 (base 6) to base 11.
-1471
What is 51775 (base 8) in base 9?
32440
13024 (base 5) to base 14
526
What is 106074 (base 9) in base 13?
22b8b
Convert -3000 (base 8) to base 15.
-6c6
-191 (base 11) to base 15
-eb
22220220 (base 4) to base 15
cd90
Convert -21102012 (base 3) to base 13.
-25ca
-1610 (base 9) to base 3
-1200100
Convert -10101011 (base 3) to base 6.
-15221
Convert -6210 (base 7) to base 10.
-2163
110231 (base 8) to base 6
443213
Convert 51750 (base 8) to base 12.
10520
Convert 110011010100 (base 2) to base 11.
2516
What is -2125 (base 8) in base 2?
-10001010101
Convert -ce9 (base 15) to base 12.
-1833
Convert -415 (base 13) to base 10.
-694
-2591 (base 12) to base 16
-10bd
Convert 1231022 (base 5) to base 15.
7127
What is 230200 (base 4) in base 2?
101100100000
What is -645c (base 14) in base 13?
-7b71
-309 (base 11) to base 8
-564
2be (base 16) to base 5
10302
What is 859 (base 11) in base 16?
408
What is -201 (base 12) in base 13?
-193
-102222201 (base 3) to base 7
-34324
What is 1321 (base 10) in base 13?
7a8
-2412 (base 5) to base 6
-1353
913 (base 14) to base 2
11011110101
Convert 11020010210 (base 3) to base 6.
1441120
Convert -1123002 (base 4) to base 8.
-13302
-28671 (base 12) to base 7
-322660
5578 (base 11) to base 14
2969
What is -247 (base 9) in base 15?
-da
What is -8872 (base 14) in base 16?
-5c44
-761 (base 9) to base 5
-4442
Convert -23660 (base 7) to base 14.
-2367
120332 (base 4) to base 15
718
What is 100000111000111 (base 2) in base 14?
61cb
126 (base 13) to base 8
311
33212 (base 5) to base 10
2307
Convert -1032 (base 4) to base 12.
-66
30240 (base 5) to base 3
2200001
Convert -71b0 (base 12) to base 8.
-30124
Convert -1301302 (base 4) to base 9.
-10881
212103 (base 4) to base 6
15203
What is -1012221 (base 3) in base 6?
-4041
What is 131853 (base 9) in base 4?
103210131
Convert 121110122 (base 3) to base 6.
131325
Convert -243616 (base 7) to base 12.
-2194a
-6834 (base 10) to base 14
-26c2
What is 8086 (base 13) in base 12?
a29a
-9a3 (base 13) to base 11
-1274
What is -429 (base 11) in base 3?
-201002
-56a (base 12) to base 8
-1442
-4102 (base 8) to base 13
-c68
What is -949 (base 10) in base 4?
-32311
-10000020 (base 3) to base 7
-6252
1124 (base 9) to base 2
1101000000
Convert -531 (base 9) to base 4.
-12301
2451 (base 15) to base 13
3694
-4 (base 12) to base 11
-4
What is -5367 (base 10) in base 13?
-259b
-24 (base 9) to base 12
-1a
-466 (base 12) to base 6
-3010
Convert -10a0 (base 16) to base 3.
-12211122
Convert -2a36 (base 12) to base 14.
-1b2a
Convert -2762 (base 10) to base 9.
-3708
341 (base 10) to base 5
2331
Convert 1230 (base 4) to base 8.
154
Convert 12350 (base 7) to base 13.
1646
Convert -1516 (base 11) to base 12.
-1169
Convert -3262 (base 8) to base 9.
-2314
Convert 1122 (base 5) to base 12.
116
-2052 (base 8) to base 16
-42a
Convert 43503 (base 6) to base 2.
1011101111111
-1286c (base 14) to base 3
-2022111201
Convert 10043 (base 6) to base 4.
110223
What is 583 (base 12) in base 3?
1010100
-1302 (base 6) to base 13
-1c1
Convert -100001101101 (base 2) to base 11.
-1691
Convert -103 (base 5) to base 15.
-1d
What is -11791 (base 10) in base 14?
-4423
Convert -2330 (base 4) to base 16.
-bc
-100222 (base 3) to base 9
-328
What is 2a7 (base 14) in base 2?
1000011011
-d4 (base 16) to base 14
-112
Convert -1221221 (base 3) to base 13.
-85c
-b3 (base 14) to base 5
-1112
What is 22122020 (base 3) in base 2?
1100010011001
What is -1704 (base 8) in base 13?
-592
What is -31a (base 15) in base 5?
-10300
What is 1153 (base 6) in base 12?
1b9
What is -116503 (base 7) in base 2?
-101010000001010
-998 (base 14) to base 13
-b30
Convert -804 (base 10) to base 15.
-389
Convert 785 (base 10) to base 11.
654
119aa (base 15) to base 13
1c75c
What is 22ba (base 16) in base 5?
241030
Convert 6270 (base 11) to base 5.
231210
2432 (base 7) to base 3
1020112
What is 1010010010101 (base 2) in base 6?
40221
-224021 (base 6) to base 8
-45115
Convert 11022001 (base 3) to base 7.
12064
-10011100110 (base 2) to base 15
-589
Convert -397 (base 10) to base 13.
-247
Convert 15421 (base 14) to base 12.
26785
What is -1e (base 16) in base 8?
-36
Convert -92b (base 16) to base 4.
-210223
What is -341242 (base 5) in base 15?
-389c
Convert 13012 (base 4) to base 2.
111000110
What is -3731 (base 13) in base 12?
-4632
Convert -1122 (base 7) to base 14.
-212
What is -222004 (base 5) in base 2?
-1111001001010
What is -22023 (base 4) in base 10?
-651
-1a68 (base 13) to base 2
-111110000101
-111010110 (base 2) to base 14
-258
2462 (base 7) to base 13
563
Convert -43c6 (base 16) to base 15.
-521a
What is -172 (base 14) in base 13?
-19a
What is -12643 (base 10) in base 15?
-3b2d
6004 (base 10) to base 11
4569
Convert -1649 (base 14) to base 15.
-12aa
1100001100010 (base 2) to base 11
4765
What is 221 (base 11) in base 7?
526
15324 (base 10) to base 15
4819
Convert -122201 (base 3) to base 4.
-13132
What is 153 (base 15) in base 7?
612
-594 (base 11) to base 12
-4b0
What is -24742 (base 10) in base 12?
-1239a
Convert -5a (base 11) to base 8.
-101
What is 12230 (base 4) in base 12?
2b8
What is -700 (base 13) in base 9?
-1554
-10424 (base 8) to base 12
-2644
-220213 (base 5) to base 6
-54554
Convert -231000 (base 4) to base 6.
-21200
What is 5185 (base 13) in base 9?
16404
Convert 376 (base 14) to base 15.
312
What is -22543 (base 6) in base 5?
-100411
23222 (base 4) to base 3
1000122
Convert 16559 (base 10) to base 12.
96bb
What is -1890 (base 10) in base 4?
-131202
Convert 52 (base 9) to base 5.
142
Convert -413 (base 6) to base 7.
-306
301232 (base 4) to base 9
4325
Convert 10000001001000000 (base 2) to base 13.
24127
105 (base 13) to base 6
450
Convert 12441 (base 6) to base 9.
2537
Convert -620 (base 10) to base 3.
-211222
-bda1 (base 16) to base 7
-261350
What is 13376 (base 9) in base 10?
9060
-667c (base 14)
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate prob of picking 1 i and 1 l when two letters picked without replacement from {l: 5, c: 5, i: 2, o: 3}.
2/21
Four letters picked without replacement from {c: 2, v: 8}. Give prob of picking 3 v and 1 c.
8/15
Four letters picked without replacement from {c: 2, j: 4, u: 1, r: 1, d: 7}. Give prob of picking 1 d, 1 r, and 2 c.
1/195
Two letters picked without replacement from fxff. What is prob of picking 2 f?
1/2
Three letters picked without replacement from olm. Give prob of picking 1 o and 2 l.
0
Three letters picked without replacement from {g: 6, a: 1, z: 7}. What is prob of picking 1 z, 1 g, and 1 a?
3/26
Four letters picked without replacement from {i: 9, h: 3}. Give prob of picking 4 i.
14/55
What is prob of picking 1 i and 1 l when two letters picked without replacement from {i: 7, c: 3, l: 8}?
56/153
Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {e: 2, w: 4, h: 2, j: 1, n: 3}.
1/220
Three letters picked without replacement from {l: 1, j: 1, c: 2, m: 2}. What is prob of picking 1 j, 1 m, and 1 l?
1/10
What is prob of picking 2 w, 1 d, and 1 u when four letters picked without replacement from {u: 2, d: 1, w: 2, n: 1}?
2/15
Three letters picked without replacement from bjjjbjbbbjjb. What is prob of picking 2 b and 1 j?
9/22
Four letters picked without replacement from sffsswsssfwssss. Give prob of picking 2 s, 1 f, and 1 w.
18/91
What is prob of picking 2 t when two letters picked without replacement from llqqtqqtrtqqtqtqqqtt?
21/190
Four letters picked without replacement from {z: 4, t: 6}. Give prob of picking 4 t.
1/14
Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {s: 3, l: 4, v: 1}.
3/28
What is prob of picking 3 b when three letters picked without replacement from {b: 3, x: 12}?
1/455
Calculate prob of picking 1 z, 1 e, and 2 t when four letters picked without replacement from izetz.
0
What is prob of picking 2 y and 1 o when three letters picked without replacement from ooooyooyo?
1/12
Calculate prob of picking 2 z when two letters picked without replacement from {l: 6, z: 4}.
2/15
Two letters picked without replacement from ccccgmmccccmmccmmmcc. Give prob of picking 1 g and 1 m.
7/190
Calculate prob of picking 2 p and 2 a when four letters picked without replacement from papdappsaapfdfp.
6/91
Three letters picked without replacement from eeeeeeeeeedeese. What is prob of picking 1 s and 2 e?
6/35
Calculate prob of picking 1 p, 1 r, 1 v, and 1 d when four letters picked without replacement from avpdr.
1/5
Two letters picked without replacement from {b: 3, z: 1, j: 6, n: 2}. What is prob of picking 2 n?
1/66
What is prob of picking 1 r and 3 c when four letters picked without replacement from {c: 3, r: 7}?
1/30
Two letters picked without replacement from tei. Give prob of picking 1 e and 1 t.
1/3
Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, a: 7}.
1/15
Two letters picked without replacement from ehhhoehos. What is prob of picking 1 o and 1 e?
1/9
Two letters picked without replacement from oyznczz. What is prob of picking 1 y and 1 n?
1/21
Four letters picked without replacement from {r: 3, x: 3}. What is prob of picking 3 r and 1 x?
1/5
What is prob of picking 2 r when two letters picked without replacement from {e: 1, r: 3, a: 12}?
1/40
Two letters picked without replacement from jjfeeefeuee. What is prob of picking 1 f and 1 j?
4/55
Four letters picked without replacement from iiiaizzza. Give prob of picking 2 i, 1 z, and 1 a.
2/7
What is prob of picking 1 v, 1 a, and 1 f when three letters picked without replacement from {l: 1, a: 1, f: 2, x: 2, v: 1, h: 1}?
1/28
Calculate prob of picking 3 l when three letters picked without replacement from {l: 5}.
1
Four letters picked without replacement from affacsaafag. What is prob of picking 3 a and 1 c?
1/33
Two letters picked without replacement from {o: 5, s: 1, i: 2, f: 1}. Give prob of picking 1 f and 1 i.
1/18
Three letters picked without replacement from hdhmddquqdudcucuhuuu. Give prob of picking 1 u, 1 h, and 1 c.
7/190
What is prob of picking 2 h and 2 d when four letters picked without replacement from hddhhddhdhhhhddhdd?
36/85
Two letters picked without replacement from xoooyjjjoxxojo. What is prob of picking 2 x?
3/91
Two letters picked without replacement from nqunhhnqnhnhxhhhunun. Give prob of picking 2 h.
21/190
Three letters picked without replacement from dkkmduim. Give prob of picking 3 k.
0
Four letters picked without replacement from {f: 6, o: 3, d: 1, y: 5, c: 3, p: 1}. Give prob of picking 1 y and 3 c.
5/3876
Two letters picked without replacement from qrqrrnrrrmqlq. Give prob of picking 2 r.
5/26
What is prob of picking 1 w, 1 j, 1 s, and 1 t when four letters picked without replacement from {w: 1, t: 4, u: 2, s: 1, j: 1}?
2/63
Three letters picked without replacement from tgomwmoowtwgwogt. What is prob of picking 2 g and 1 t?
9/560
Two letters picked without replacement from {e: 7}. What is prob of picking 2 e?
1
What is prob of picking 2 d, 1 n, and 1 b when four letters picked without replacement from {n: 1, u: 6, d: 3, b: 1, o: 1}?
1/165
Four letters picked without replacement from {x: 1, h: 2, s: 5, y: 3, q: 1, i: 1}. What is prob of picking 1 q, 1 h, 1 i, and 1 y?
6/715
Calculate prob of picking 2 m when two letters picked without replacement from plmm.
1/6
Two letters picked without replacement from dddyddydddy. Give prob of picking 1 d and 1 y.
24/55
Two letters picked without replacement from vaasssvvssdyvsu. What is prob of picking 1 d and 1 a?
2/105
Three letters picked without replacement from wwwwwaawww. What is prob of picking 1 w and 2 a?
1/15
Two letters picked without replacement from geetgllelgtltg. What is prob of picking 1 g and 1 t?
12/91
What is prob of picking 2 c when two letters picked without replacement from {c: 2, b: 16}?
1/153
Four letters picked without replacement from jjfm. Give prob of picking 1 m and 3 f.
0
Two letters picked without replacement from tttzozzzonnoqzzn. Give prob of picking 1 n and 1 z.
3/20
What is prob of picking 2 r when two letters picked without replacement from {r: 2, x: 7, n: 9}?
1/153
Three letters picked without replacement from hljkjjkhjkkjj. Give prob of picking 2 k and 1 j.
18/143
What is prob of picking 2 i and 1 o when three letters picked without replacement from iooigkggigioiooog?
3/34
Calculate prob of picking 2 i and 1 k when three letters picked without replacement from {i: 12, k: 1, l: 5}.
11/136
What is prob of picking 3 j when three letters picked without replacement from {n: 1, j: 2, l: 1}?
0
What is prob of picking 1 d and 1 v when two letters picked without replacement from dvndnsddondo?
5/66
Calculate prob of picking 4 w when four letters picked without replacement from {w: 4}.
1
What is prob of picking 2 t and 1 d when three letters picked without replacement from {d: 1, t: 2, v: 2}?
1/10
What is prob of picking 4 j when four letters picked without replacement from {y: 5, j: 5, p: 1}?
1/66
Two letters picked without replacement from {p: 9, t: 5}. Give prob of picking 2 t.
10/91
Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, n: 10, a: 1, l: 3}.
2/21
Calculate prob of picking 3 t when three letters picked without replacement from {g: 4, t: 14}.
91/204
Calculate prob of picking 4 m when four letters picked without replacement from mmmmeemmmee.
7/66
Calculate prob of picking 2 p, 1 v, and 1 a when four letters picked without replacement from pvvpappa.
12/35
What is prob of picking 4 r when four letters picked without replacement from {r: 5, p: 1, q: 1, j: 1, t: 3}?
1/66
What is prob of picking 1 h and 1 w when two letters picked without replacement from {w: 2, z: 7, h: 3, s: 3}?
2/35
Calculate prob of picking 2 p and 1 t when three letters picked without replacement from {g: 4, p: 6, x: 3, t: 2}.
6/91
What is prob of picking 1 x and 1 i when two letters picked without replacement from pixpxxxepieexpepixx?
7/57
What is prob of picking 1 f, 1 n, 1 i, and 1 l when four letters picked without replacement from {v: 3, n: 4, l: 2, i: 3, x: 1, f: 2}?
16/455
Calculate prob of picking 3 o and 1 f when four letters picked without r
|
{
"pile_set_name": "DM Mathematics"
}
|
five decimal places?
0.00002
Suppose -2*v - 2492600 = 20*v. Round v to the nearest ten thousand.
-110000
Let t = 401.65 + -433. Let k = 32 + t. What is k rounded to 1 decimal place?
0.7
Let j = 0.0618 - -0.9142. What is j rounded to two dps?
0.98
Let w be 230400*-6*(-200)/36. Suppose -w = -2*f - 10*f. What is f rounded to the nearest one hundred thousand?
600000
Let s = 121948.930003 - 121949. Let c = -0.07 - s. What is c rounded to five dps?
0
Let b = -16223.6621 - -16223. Round b to two decimal places.
-0.66
Suppose -3*p + 4*r + 229822 = 0, 0 = -8*p + 10*p - 3*r - 153214. Round p to the nearest 10000.
80000
Let l = -0.15399 + 0.003992. Let c = -7.15 - -7. Let i = c - l. Round i to six decimal places.
-0.000002
Let x = -10 - -10.44. Let v = -0.440004 + x. What is v rounded to 5 decimal places?
0
Let f = 2 + 47. Let i = f - 49.0066. What is i rounded to three dps?
-0.007
Let a(o) be the second derivative of o**3/3 + 3550000*o**2 - 23*o. Let m be a(0). What is m rounded to the nearest 1000000?
7000000
Let t = 240.9782366327423 - -0.0217629162577. Let f = 241 - t. Round f to seven decimal places.
0.0000005
Suppose 3*m = -3*l + 33, -3*m + l = -3*l - 19. Let w be m/3 - 2 - -91599999. Suppose 0 = 3*g + g + w. What is g rounded to the nearest 1000000?
-23000000
Let t = -508 - -556.5. Round t to the nearest ten.
50
Let l = 1156.6 - 1156.5991637. What is l rounded to 5 decimal places?
0.00084
Let v = -79465196 - -202765196. Round v to the nearest 1000000.
123000000
Let l = 45 - 31. Let d = 21.8299 + -0.0299. Let q = d - l. Round q to the nearest integer.
8
Let o = 52 - 51.27. Let i = -0.7524 + o. What is i rounded to 3 decimal places?
-0.022
Let j = -19.57 - 0.43. Let q = 19.7 + j. Let n = -1.2 + q. What is n rounded to the nearest integer?
-2
Let o = -4119296 + -1355250. Let d = o - -5474548.9999992. Let t = d + -3. What is t rounded to seven dps?
-0.0000008
Let o = 300492.0066 + -300466. Let n = -26 + o. What is n rounded to three decimal places?
0.007
Let y = 80.5 - 62. Let g = -18.5201 + y. Round g to 3 dps.
-0.02
Let t = 62566012086 + -62566012020.000000382. Let d = t + -66. What is d rounded to seven decimal places?
-0.0000004
Let u = 4.77 + -4.7699649. Round u to five decimal places.
0.00004
Let v = -1888082.9270631457218 + 2.7870616257218. Let g = v - -1888080. Let k = g - -0.14. What is k rounded to seven dps?
-0.0000015
Let o = 0.6 + -15.6. Let j = o + 14.2. Round j to one decimal place.
-0.8
Let y = 173565 - 45665. Round y to the nearest ten thousand.
130000
Let f = -123.82 + 19.72. Round f to the nearest 10.
-100
Let j = 128.9 + -175. Let v = j - -46.307. What is v rounded to 2 decimal places?
0.21
Suppose 4*f + 2*a - 8 = 0, -f - 3*a + 0 = -2. Let t be 4 + 0 - (1006 - f). What is t rounded to the nearest ten thousand?
0
Let q = 43.017 + -4.077. Let o = -39 + q. Round o to 2 decimal places.
-0.06
Let n be (-294)/(-102) - (-4)/34. Suppose 15 - n = 3*o. Let x be (-4 - (-24)/o) + 498. What is x rounded to the nearest one hundred?
500
Let q = 81 + -72. Suppose 13590 = q*u - 0*u. Round u to the nearest 100.
1500
Let a be (-10)/(3 + (-27842)/9280). Round a to the nearest 10000.
50000
Let q = 0.04 - 0.04. Let i = 0.75 - 0.805. Let o = q - i. What is o rounded to 2 decimal places?
0.06
Let w(m) = -m**3 + 13*m**2 - 38*m + 15. Let b be w(7). Round b to the nearest one hundred.
0
Let d(l) = 3*l**3 + 5*l**3 - 1 - 4*l + 2*l + 3*l. Let a be d(1). Let n(u) = -u**3 + 20*u**2 - 10*u + 12. Let k be n(a). Round k to the nearest one hundred.
700
Let p = -19.12 - -1.72. Let a = p - -17.40274. Round a to four decimal places.
0.0027
Let q = 67 + -95. Let g = 372712.0021 + -372740. Let a = q - g. What is a rounded to three dps?
-0.002
Let s = 67.19 + -69. Let u = -1.809746 - s. Round u to 4 decimal places.
0.0003
Suppose -6 = -2*d, 3*l - 3*d + 2*d = 447. Let m = l + -43. Round m to the nearest ten.
110
Let y = 3.39 + -2.722. Round y to one decimal place.
0.7
Let o = 4743 + -10373. What is o rounded to the nearest one hundred?
-5600
Let g = -2313161 - -1432761. What is g rounded to the nearest one hundred thousand?
-900000
Let q = 354.742 - -4462162.258. Let f = q + -4462539.999955. Let h = -23 - f. Round h to 5 dps.
-0.00005
Let w = 1.01 - 1.0701. Let c = w - -267.0601. Let z = c - 267.0000153. What is z rounded to 6 decimal places?
-0.000015
Let b = 1.348 + -1.352596. What is b rounded to four dps?
-0.0046
Let s be (63442/4)/(11/550). Let x = 3406975 + s. Round x to the nearest 1000000.
4000000
Let f(d) = -14051*d**2 + 16*d - 5. Let p = -22 - -26. Let v be 1*2/p*22. Let b be f(v). What is b rounded to the nearest one million?
-2000000
Let g be (-2 + -159)/(-1*(-3)/(-48)). Let b = g + -506. What is b rounded to the nearest one thousand?
2000
Let k(j) = -4737*j + 18. Let i be k(14). What is i rounded to the nearest ten thousand?
-70000
Suppose k = -0*k. Suppose -3*c + v - 29 = k, -c + 2*v = -v + 7. Let x be (-999006)/(-27) - c/(-45). What is x rounded to the nearest 10000?
40000
Let q = 5705.99995639 + -5706. Round q to 5 decimal places.
-0.00004
Let i = -24327166.31799 + 24436766.649. Let w = i + -110269.334. Let f = 669 + w. What is f rounded to 4 decimal places?
-0.003
Let g = 0.12514698 - 0.0451473. Let z = 43 + -43.08. Let k = g + z. Round k to seven decimal places.
-0.0000003
Let y = -0.1280444 - -0.1279. Round y to five decimal places.
-0.00014
Let x = -8645 - -184145. What is x rounded to the nearest ten thousand?
180000
Let c be ((-6000)/(-9))/(1/15480). Suppose 77*u = 74*u - c. What is u rounded to the nearest one hundred thousand?
-3400000
Let y(q) = 196*q**3 - 4*q**2 - 4*q + 1. Let r be y(-4). Round r to the nearest one thousand.
-13000
Let d = -13 + 13. Suppose c - 9 - 60 = d. Suppose -w = z - c, 1 = 2*z + 7. Round w to the nearest ten.
70
Let k = -512.4 - -626. What is k rounded to the nearest ten?
110
Let v(g) = 33121*g + 32. Let n(c) = -c. Let b(d) = 2*n(d) - v(d). Let s be b(16). What is s rounded to the nearest one hundred thousand?
-500000
Suppose 0 = 6*c + 16*c + 128480000. Round c to the nearest 100000.
-5800000
Let b(h) = 2016*h + 80. Let x be b(-5). Round x to the nearest 100000.
0
Let o = -1.943 + 0.236. What is o rounded to one decimal place?
-1.7
Let o = 45.80000281 - 45.8. What is o rounded to 6 decimal places?
0.000003
Let z(t) = 490*t**2 + 12*t - 2. Let c be z(-4). What is c rounded to the nearest one thousand?
8000
Let l be (-24)/32 - 57/(-12). Suppose -4*q = -8476 - 492. Suppose l*h - q = 78. Round h to the nearest 100.
600
Let o = 129878.3 - 113195. Let u = o + -16710.3004. Let j = 27 + u. Round j to 4 dps.
-0.0004
Let x(f) = -7*f**3 - 7*f**2 - 16*f + 54. Let o be x(14). What is o rounded to the nearest one hundred?
-20800
Let p = 12.35 + -0.4. What is p rounded to 1 decimal place?
12
Let f(g) = -414285*g - 35. Let k(m) = 621428*m + 52. Let d(h) = 7*f(h) + 5*k(h). Let y be d(-7). Round y to the nearest one million.
-1000000
Let b = -0.662 + 0.6620534. Round b to 5 decimal places.
0.00005
Let i = 122.149186 - 122.16. What is i rounded to three dps?
-0.011
Let x = 0.070714 + -0.19761. Let r = 0.127 + x. Round r to five decimal places.
0.0001
Let a(l) = -l**3 + 8*l**2 + 2*l - 10. Let n = 24 - 16. Let b be a(n). Suppose -4*u + b*u - 3320 = 0. Round u to the nearest one hundred.
1700
Let c = -17 + 17. Suppose -2*w - 6 = c, 3*w - 7*w + 13 = 5*a. Suppose 0 = -a*k + 2*z - 43, -z + 39 = -5*k - 0*z. Round k to the nearest integer.
-7
Suppose -18 = 3*y - 0*y. Let n = 11 + y. Suppose 0 = 2*w + 7 + n. Round w to the nearest 10.
-10
Let x(r) = 325*r + 10. Let v be x(-12). What is v rounded to the nearest one hundred?
-3900
Let v = -64 + 64.324. Let f = -0.08 + v. Round f to 1 dp.
0.2
Let f = 1747.745 + -1752. Let t = 4.7 + f. What is t rounded to one decimal place?
0.4
Let h = -3.456 + 1.322. Round h to 1 decimal place.
-2.1
Suppose 4*n + 985 = 2*g + 7*n, 2*g = -4*n + 980. What is g rounded to the nearest 10?
500
Suppose -n = 4*m + 1131016, -46*m = 5*n - 49*m + 5654988. What is n rounded to the nearest ten thousand?
-1130000
Let t = -44.37 - -0.37. Let w = -44.000029 - t. Round w to five decimal places.
-0.00003
Suppose -2*r + 578 = 156. Suppose -71 = 4*c - r. Round c to the nearest 10.
40
Let d = -1062 - -1062.367. Round d to 1 decimal plac
|
{
"pile_set_name": "DM Mathematics"
}
|
2/(-5)). Which is the nearest to 0? (a) -2 (b) h (c) 3 (d) g
b
Let a = -22/69 + -8/23. Let w be 10/35 + -7 + (-1245)/(-175). What is the closest to a in w, 1/2, 2?
w
Suppose f + 4 = 5*v, -20 = -4*v + f + 4*f. Suppose v = -z + 5 - 7. Let n = 93 - 93.4. Which is the nearest to 2/9? (a) z (b) n (c) 0.5
c
Let j = -36 - -6. Let x = j - -29.5. Let q be (-3 - 0)*2/(-18). Which is the closest to -2/5? (a) x (b) 1 (c) q
a
Let f = -40 + 113. Let h = 3962.84 - 4036. Let b = h + f. What is the closest to -2 in b, 0, 3?
b
Let u = -4.8 - -5. Let h = 0.3 - u. Let k = 9.15 - 9.15. Which is the nearest to k? (a) -0.3 (b) -2/7 (c) h
c
Let g = -2272 - -2272.04. Let h = 24 - 24.2. What is the closest to g in 0.1, 0, h?
0
Let o = -3056.2 + 3055.8. Let x be (-8)/44*(-1)/2. What is the nearest to -1 in o, x, 1/5, 2?
o
Suppose -2 = b - 4*b + 4*c, -4 = -3*b + 2*c. Suppose -3*p = 5*h + 1 - 5, -b*h - 3*p = 2. Let m = 1468/5089 + -2/727. What is the nearest to 0.2 in m, h, -0.3?
m
Let y = -629129/9 - -70007. Let h = y - 104. Let m be (42 - 41)/(10/(-4)). Which is the nearest to 2? (a) h (b) m (c) -5
a
Let x = 0.95 - 0.96. Let l = -0.312 - -3.312. Which is the closest to -0.1? (a) l (b) -2/5 (c) x
c
Let q = -19.963 - 0.037. Let v = -27.2 + 32.2. Which is the nearest to 0? (a) q (b) -2 (c) v
b
Let f = -7212 - -7210. Which is the closest to -1/5? (a) -0.2 (b) 1 (c) -5 (d) f
a
Let k = 2.05 - 0.05. Let l = -515 - -629. Let j = -109 + l. Which is the nearest to k? (a) j (b) 0.2 (c) 0.3
c
Suppose -3*w - 66 = 4*k, 5*k + 3*w - 9079 + 9145 = 0. Let h = 1.53 - 0.23. Let q = h + -0.3. What is the nearest to -3/16 in q, 0.2, k?
k
Let l = -37 - -42. Suppose l*r = -4*d - 4 - 17, -2*d + 2 = 0. What is the nearest to 3 in r, 15, -0.2?
-0.2
Let l = 3 - 3. Let k be 3848/(-1443)*(19/(-8) - -2). Which is the nearest to l? (a) k (b) -0.3 (c) -1/2
b
Let p = 6.054 + -9.054. Which is the nearest to -0.2? (a) p (b) -12.1 (c) 0.2
c
Let a = 0.1483 - 0.221. Let c = -0.0273 + a. What is the nearest to 0.1 in c, -0.3, -3/4?
c
Let h = 0.004 - 6.204. Let y = 6 + h. Let j = 7 + -10. What is the closest to j in -2/17, y, 1?
y
Suppose 2644 = -3*r - 4*s, -754 = -3*r + 4*s - 3390. Let f be 3/8 + 170/r. Let q be (68/8 + -4)/12. What is the nearest to q in 2, 3, f?
f
Let s = 6655/4 - 1663. What is the closest to 2 in s, -7, -3, 9?
s
Let m = -7 + 7.03. Let k = 0.03 + m. Let l = -5158 - -87688/17. What is the closest to l in 0, -3/2, k?
k
Let o = 0 + 0. Let m = o + 0.1. Let d = 9697/62777 + -3/4829. What is the nearest to m in d, -1, 0.4?
d
Let k be 5/4*162/210 - 5/4. What is the closest to 1/12 in 4, k, 1, 0?
0
Suppose 79 = w - 0*q + 2*q, -q - 91 = -w. Let d = w + -88. Let k = -0.2 + -1.8. What is the closest to d in 12, k, -1/3?
-1/3
Let d = 31.5 + -30.23. Let x = 1.07 - d. Which is the closest to x? (a) 4 (b) -4 (c) 0.3
c
Let l = 2.936 - 2.936. Which is the nearest to l? (a) 0.19 (b) 9 (c) -0.3
a
Let b = 2 + -2.02. Let d = 224613 + -224608. What is the nearest to b in d, 1/4, -0.1?
-0.1
Let w = 5575.5 - 5575. What is the nearest to 2/3 in 27.4, -0.4, w?
w
Let p be 25/35 + (-6)/21. What is the nearest to 1/3 in -0.5, 8, -2/31, p?
p
Suppose -5*n + 141 = 2*r, -206*r + 207*r + 4*n = 81. Which is the nearest to 0? (a) 5 (b) r (c) 3/2
c
Let s = 0.12151 - 0.02151. What is the closest to 1 in -0.3, -0.5, 22, s?
s
Let u = -5666 + 22665/4. Suppose 2*j + 4*p - 2*p + 14 = 0, 4*j = -2*p - 20. Which is the nearest to j? (a) u (b) 1/2 (c) 3
a
Let s = -10.7441 + 10.31. Let f = s - -0.0341. What is the nearest to -3 in 16, 0.5, f?
f
Let t be (-4 - (-64)/(-14))/(1/(-7)). Let v = t + -55. Let x = -21/2 + 10. Which is the nearest to x? (a) v (b) -3 (c) -1/2
c
Let g = -140 + -375. Let m = g + 511. Which is the closest to 0.2? (a) 0 (b) m (c) 2/3 (d) -2/7
a
Let f = 1198 - 1198.1. Let g = 8 - 17/2. Which is the closest to 0.1? (a) 2/33 (b) f (c) g
a
Let p = -170 + 120. Let n = 48.955 + 0.045. Let a = n + p. What is the closest to a in 3/7, 0.2, 0?
0
Let w = 43.7 + -43. Let j = 91.4 - 91. Which is the closest to w? (a) j (b) -1/4 (c) -5
a
Let t = 9900075/28 - 353616. Let i be (-2 + 1)*(-2119)/52. Let c = t + i. What is the nearest to -1 in -3, c, 5?
c
Let u = -10 - -6. Let t = -9732 - -9731.9. What is the closest to -2 in t, 1/3, u?
t
Suppose 0 = -2*p - 0*m - m + 11, 3*m + 22 = 5*p. Which is the closest to p? (a) 25 (b) -0.5 (c) 2 (d) -5
c
Let s = -545 - -544. Let w be (2 - s)/(-8 - (-7 - 4)). Which is the closest to 2? (a) w (b) 0 (c) -2
a
Let p = -102.037 - -0.037. Let o = -97 - p. What is the nearest to -1/11 in 0.4, -4, o?
0.4
Let o = 29 - 28.85. Let g = -0.85 - o. Let a = g - -2. What is the closest to 1 in a, 0, 2/7?
a
Let q be 3/11 - 5*(-41)/55. Suppose 2*r + 2*y + 2 = -8, -5*y - 15 = 0. Which is the nearest to -3? (a) q (b) 0.2 (c) -1/3 (d) r
d
Let h be (-85)/68 - 4343/(-28). Let y = h - 154. Let o = -0.9 + 1. What is the closest to -1 in o, y, -5?
y
Let l = -12113 - -12113. What is the closest to 0.5 in -1, l, -2/3?
l
Let h = -88 + 99. Suppose h*m + 0*m - 44 = 0. Suppose n - 23 = m*c, 5*c + 4*n - 5*n = -28. What is the closest to -4 in -5/4, c, 2/3?
c
Let d = 3119 + -3119. What is the nearest to 2 in -2/3, d, -1, -5?
d
Let w = 0.44 + -13.54. Let d = w - -4.6. Let z = 8.7 + d. Which is the closest to -7? (a) 2/7 (b) 1 (c) z
c
Suppose 2*t + 21 = t - 3*w, -2*w + 2 = -2*t. Let s be (-1 + (-3)/t)*0. Let q = 26111 - 26111. Which is the nearest to s? (a) q (b) 0.3 (c) 1
a
Let h = -59186/95 + 623. Let z = -173/1615 + h. Let j = 1/198 - 5/22. Which is the closest to j? (a) z (b) 0.1 (c) -4
a
Let y = -39 - -39.44. Let r = y + -20.44. Let l = -18 - r. Which is the nearest to 2? (a) -0.1 (b) -5 (c) l
c
Let q(r) = -r**2 + 6*r + 30. Let f be q(9). Suppose -f*z + 15*z = 0. Which is the nearest to -0.4? (a) 4 (b) -0.06 (c) z
b
Suppose i - 4 = -g, -g - 3*i - 12 = 2*i. Let k = -9 + g. Let q = -241 + 238. What is the nearest to 2 in k, 0.1, q?
0.1
Suppose -107*o + 680 = 29*o. Which is the closest to -1/11? (a) o (b) -1/4 (c) -2 (d) 0.1
b
Let y = 0 - 0. Let d = 2 + y. Suppose 2*n - 56 = 2*q - 60, -2 = -2*q + 4*n. Which is the closest to -1? (a) q (b) d (c) 4/11
c
Let m = -19612.6 - -19612. Which is the closest to 2/13? (a) m (b) -20/9 (c) -0.4
c
Let j = 39/74 + -281/814. Let k = -1.8 - -2. Which is the closest to 2? (a) k (b) -4/3 (c) 0.3 (d) j
c
Let d = -0.095 + -0.005. Let y = 3933 + -3927. Which is the closest to d? (a) -2 (b) y (c) 2/17
c
Let d = -627 - -516. Let n be (-6)/57 - 62/(-228). What is the nearest to d in -2/15, n, -5?
-5
Suppose 4*h + 2*o + 5 = -35, -54 = 4*h - 5*o. Let y(t) = -t**2 - 9*t + 22. Let n be y(h). What is the closest to n in -2/19, 0.4, 0.34?
-2/19
Let g = -11313.9 - -11314. Let j = 27 + -18. Let m = -6 + j. What is the nearest to g in m, 4, 14?
m
Suppose 11*u - 8*u + 3 = 0. Let p(l) = -9*l - 181. Let z be p(-20). Let r be (2 + 0)*(-1)/(-4). What is the nearest to u in z, r, -4?
z
Let p = 6.15 - 0.15. Let u = 6.6 - p. Let g be (-26)/(-559) - (-52)/(-2322)*12. What is the nearest to u in 1/2, g, 1?
1/2
Let h = 108 + -111. Let c = h - -2. Let g be ((-1)/3 + 0)/(15/135). What is the nearest to c in 4, 3, g?
g
Let b(l) = -5*l**2 + 6*l + 4. Let j be b(-2). Let m be 12/42 + 22/j. What is the closest to m in 2, -2/21, -5?
-2/21
Let f = -2/5005 - -601/1001. Which is the nearest to -1? (a) f (b) -3 (c) 30
a
Let h = 3.662 - 7.662. Suppose -8 = -6*q + 10. Which is the closest to 0.08? (a) -1 (b) -3 (c) h (d) q
a
Let k = 6 - -4. Let h = 9 - k. Let p = -1454 - -1454.1. Which is the nearest to p? (a) 4 (b) -2 (c) h
c
Let y = 3.508 + -3.5. Let n = y - 3.008. Which is the closest to 0.1? (a) -4 (b) n (c) -0.4
c
Let w = 0.7286 - 0.8286. Let t = 0.17 - 0.24. What is the nearest to 0 in -0.2, w, t?
t
Let p = -35869 - -35869. Which is the closest to -1/3? (a) 0.4 (b) p (c) -0.4 (d) -32.5
c
Let w = 0.1222 - 0.5222. What is the closest to 0.2 in -6, w, -1, 0.6?
0.6
Let r = 0.29806 - 0.49806. What is the closest to 1 in r, -1/11, -11?
-1/11
Let f = -360.3 - -360.2. What is the nearest to 2/9 in 2, -3, f, -0.3?
f
Let x be ((-12)/(-60))/((-4)/10)*2. What is the closest to -0.11 in x, -2/11, 4, 0.4?
-2/11
Let o = -1049
|
{
"pile_set_name": "DM Mathematics"
}
|
he units digit of c?
4
Let n(o) = o**3 + 43 - 4*o + o + 2*o**2 - 3*o**2 - 41. What is the units digit of n(3)?
1
Let a(q) be the first derivative of 5*q**3/3 - q**2/2 - 2*q + 2. What is the tens digit of a(2)?
1
Suppose 6*z - 3*z = -6, z = -s + 2. Let f(g) = g**3 - 4*g**2 + g. Let v be f(s). Let p(k) = 2*k + 4. What is the units digit of p(v)?
2
Let f = -42 + 75. What is the units digit of f?
3
What is the units digit of (12/10)/((-6)/(-160))?
2
Let i = -2 - 1. Let l = 6 + i. Let k = l - -7. What is the tens digit of k?
1
Let k be 2*(5 + -4 + -2). Let r = k + 13. What is the tens digit of r?
1
Suppose 2*v = 3*v - h - 11, 4*v + 4*h = 28. What is the units digit of 2 - (v*-1 + -1)?
2
Let p(l) = -l**3 - 7*l**2 - 5*l + 2. Let d be p(-6). Let j = d - -29. What is the tens digit of j?
2
Suppose -13*w + 4*w + 828 = 0. What is the units digit of w?
2
Let l(j) = 10*j - 1. Let o(k) = 10*k - 2. Let i(n) = -3*l(n) + 2*o(n). What is the units digit of i(-1)?
9
Suppose -2*q = -7*q - 5*i, -4*i = -2*q. Suppose q = r - 1. What is the units digit of (-3 + -2)/((-1)/r)?
5
Suppose 2*z = -4*d + 3*z - 10, 4*d + 16 = -2*z. Let j = 4 + -6. What is the units digit of (d/j)/(15/20)?
2
What is the tens digit of 418/10 - 8/10?
4
Let w(i) = i - 8. Let y be w(10). What is the units digit of 2*14*y/2?
8
Suppose 5*z - z + 12 = f, 2*f = 5*z + 15. Suppose f = h - 2*r - 42, 2*h = -3*r + 33 + 23. What is the tens digit of h?
3
Let x be (6/(-4))/(3/(-96)). Let c be 2/(x/21 + -2). Let t = c - 3. What is the units digit of t?
4
Suppose 0 = 5*l - 5*j - 10, -2*l - l = -j - 8. Suppose -4*u + 3*v = -49, l*v - 42 = u - 4*u. What is the units digit of u?
3
Suppose -3*l - 2*l + 20 = 0. Suppose -j - l = -23. What is the units digit of j?
9
Suppose 0 = -3*x + 4 + 2. Let j(r) = 2*r**2 - 3*r. Let g be j(x). What is the units digit of (g - (0 + 0)) + 4?
6
Let u(p) be the second derivative of p**4/6 + p**3/6 - 5*p**2/2 - 5*p. What is the tens digit of u(-4)?
2
Let t be 0 + (-5 + -3)/(-2). Suppose 4*u + 5*a - 304 = 0, -3*u - t*a + 76 = -2*u. Suppose 0 = -2*w + 2, -b - 4*w = 3*b - u. What is the tens digit of b?
1
Let j(t) = 14*t + 28. What is the tens digit of j(9)?
5
Let t(y) = 2*y. Let g(i) = -i**2 + i. Let w(d) = -3*g(d) + 2*t(d). What is the units digit of w(-2)?
0
Let w(t) = t**3 + 2*t**2 + 255. What is the hundreds digit of w(0)?
2
Suppose 2*j + 23 = -h - 4*h, -j - 24 = 5*h. Let m be j/(2 - (-6)/(-4)). What is the tens digit of (2 + -4)*(-13)/m?
1
Suppose -2*u + 531 = z, -5*z - 27 - 211 = -u. What is the units digit of u?
3
Let x(m) = 353*m - 12. What is the hundreds digit of x(1)?
3
Let a(x) = 4*x - 1. Let b be a(1). Suppose 72 = -b*u - u. What is the units digit of u/((-3)/((-6)/(-4)))?
9
Let v = -175 - -253. What is the units digit of v?
8
Let j = -6 - -3. Let w = j + 15. What is the tens digit of w?
1
Suppose t + 5*o = 16, 0*t + 112 = 4*t - 4*o. Let v = -11 + t. What is the tens digit of v?
1
Suppose -4*t + 11 + 19 = 5*h, 4*t + 3*h - 26 = 0. Let u(l) = 4*l + 4. What is the units digit of u(t)?
4
Suppose 2*j - 12 = -j. What is the units digit of j?
4
Suppose 5*u - 45 = 4*k, 0 = 2*u + 3*u + 5*k. Let p = -23 - -42. Suppose -22 - u = -5*w + 3*i, 0 = 5*w - i - p. What is the units digit of w?
3
Let f = -5 + 5. Suppose f = 4*h - h + 12. What is the units digit of 2/(h/(-6))*1?
3
Let t = 8 + -5. Let v be (6/10)/(t/15). Suppose v*f + k - 5 = 0, f = -3*f + 5*k - 6. What is the units digit of f?
1
Let m be (-1)/((-2)/218 + 0). Suppose -r - 8 + m = 4*y, -5*r = -y - 1. What is the tens digit of y?
2
Let k be 32/18 - 6/(-27). Suppose -9*q = -8*q - k. What is the units digit of q?
2
Let o(h) = h**2 + 2*h - 1. Suppose -r + 15 = 4*r. Suppose 3*p + 4*g + 5 + 0 = 0, -3*g - 6 = r*p. What is the units digit of o(p)?
2
Suppose 462 = 7*p - 287. What is the tens digit of p?
0
Let g(y) = y. Let q be (2 + -1)*1*6. What is the units digit of g(q)?
6
Suppose 0*n - 1 = -n. Let w(l) = -n + 4*l - 8 + 4. What is the units digit of w(4)?
1
Let u(w) = w + 16. What is the units digit of u(-15)?
1
What is the units digit of -1*3/6 + 18/4?
4
What is the tens digit of 29 + ((-3)/(-4))/((-11)/44)?
2
Suppose -4*p = -219 + 59. What is the units digit of p?
0
Let y(v) = -3*v - 5. Let k be y(-5). Let l(m) = -m**3 - m**2. Let x(f) = 6*f**3 - 4*f**2 - 10*f - 3. Let s(t) = -5*l(t) - x(t). What is the units digit of s(k)?
3
Let o = 17 + 4. Let i(c) = -c**2 - 4*c + 6. Let r be i(-5). Suppose -2*w - 3 + r = -2*l, l + 3*w = o. What is the units digit of l?
6
Let s(k) = k**2 - 3. Let v be s(-3). Let u(m) = -3 + 3*m**3 - m**3 - m**2 - m**3 - 3*m**2 - 8*m. What is the tens digit of u(v)?
2
Let i = -16 - -26. What is the tens digit of i?
1
Suppose -2*g + 2 + 2 = 0. Suppose 2*a = -g*a. Suppose a = -m + 2*m - 7. What is the units digit of m?
7
Suppose 2 - 5 = -3*l. Let n be -1 - l*(1 + 2). Let m(b) = -b**3 - 5*b**2 - 4*b + 3. What is the units digit of m(n)?
3
Suppose 9*z + 5*z = 4018. What is the units digit of z?
7
Let y = 5 - 31. Let m = -19 - y. What is the units digit of m?
7
Let n = -78 - -83. What is the units digit of n?
5
Let d(o) = 3*o**2 - 5*o - 13. What is the hundreds digit of d(-6)?
1
Let d(g) = -g**2 - 5*g - 3. Suppose 9 = 4*i - 23. Suppose -5*w + i = 2*u - 1, 4*u - 2*w + 18 = 0. What is the units digit of d(u)?
3
Let s = -31 + 19. Let x = s - -21. Suppose -4*t + t = -x. What is the units digit of t?
3
Suppose 3*t = -t + 56. Let i = -9 + t. Suppose -i*v - z = -6, v = -z - 1 - 1. What is the units digit of v?
2
Suppose -255 = -3*g - p, -2*g + 180 = 5*p - p. What is the units digit of g?
4
Let i = 940 + -628. What is the hundreds digit of i?
3
Let f = -140 + 211. What is the units digit of f?
1
Let q = 27 + -21. What is the units digit of (q - 10) + (27 - 0)?
3
Suppose -17 = -b - 2*w + w, -5*b + 85 = -5*w. What is the tens digit of b?
1
Suppose 2*o = 3*h, -2*h - h = -5*o - 18. Suppose 4*y = -0*y + 36. Let u = o + y. What is the units digit of u?
3
Suppose 2*z - 105 = -3*z. Let a be z/(-1 - (-3 - -1)). Suppose 5*r + a = 86. What is the tens digit of r?
1
Let g(s) = s + 1. Let d be g(-1). Let u = d + 5. Suppose 0 = y + 3*f - 22, -u*y + 32 = -3*y + 2*f. What is the units digit of y?
3
Suppose 5*r - 763 = -2*x - 0*r, 3*x - 1113 = 3*r. What is the units digit of x?
4
Let b = 157 + -91. Suppose 2*g + 2*y = b, 0*y + y + 83 = 3*g. What is the units digit of g?
9
Let k = 679 - 352. What is the hundreds digit of k?
3
Let f = -8 - -20. Let q(m) = m**3 - 12*m**2 + m + 13. What is the units digit of q(f)?
5
Let w(s) = -4*s + 2. Let y be w(3). Suppose -4*i - 3*q = -2*q - 58, 36 = 3*i - 3*q. Let f = i + y. What is the units digit of f?
4
Suppose -13 = -5*w + 2. Suppose w*z + 3*x - 24 = 0, -x - x = -4*z + 62. What is the tens digit of z?
1
Let l be 1*3/1*-1. Let s(u) = u**2 + u + 1. What is the units digit of s(l)?
7
Let n(d) = 7*d**2 - 8*d + 17. Let v(x) = -3*x**2 + 4*x - 8. Let y(i) = -4*n(i) - 9*v(i). Let m be y(-4). Suppose -3*a = a - m. What is the units digit of a?
1
Let t be (-37)/(-5) - 2/5. Suppose 2*l - t = l + 3*k, 4*l + 4*k + 4 = 0. What is the units digit of l?
1
Suppose 0*t = -5*u - 5*t + 175, -5*u + t = -175. Suppose 4*r - 2*o + 26 = -8, u = -2*r - 5*o. Let j = 14 + r. What is the units digit of j?
4
Let i(k) = 2*k + 0*k - 7*k + 44 - 47. What is the tens digit of i(-4)?
1
Let h(z) = -z**3 - 4*z - 2. Let u be h(-3). Suppose s + 3*o = u, o + 213 - 12 = 5*s. Suppose -5*c + s = 5*q, -2*q - q = -5*c + 8. What is the units digit of c?
4
Suppose -2*i + 5*p + 299 = 0, -584 = -4*i - 3*p - p. What is the units digit of i?
7
Let y = -167 + 290. What is the hundreds digit of y?
1
Let h be -3 + 31 + (-4 - 0). Let l = h - -11. What is the units digit of l?
5
Let q(n) = -n**3 - 3*n**2 + 11*n - 1. What is the tens digit of q(-7)?
1
Let p(i) = i - 7. Let f be p(7). Suppose 5*l - 6 - 9 = f. Suppose 0 = -3*z + 3 + l. What is the units digit of z?
2
Let n(l) be the third derivative of -l**6/120 + l**5/12 - l**4/24 - l**3/2 - 3*l**2. What is the units digit of n(4)?
9
Let y(f) = 10*f**2 - f. Suppose r - 3 + 0 = 0. Suppose 0 = -r*n - 2*n + 5. What is the units digit of y(n)?
9
Let p = -195 - -393. What is the tens digit of p?
9
What is the tens digit of (4/3)/((-8)/4740*-5)?
5
Let u(g) = -3*g**2 + g - 1. Let m be u(1). Let j be -1 - (-6 + (-6)/
|
{
"pile_set_name": "DM Mathematics"
}
|
Let y(u) = -u**2 + 8*u + 64. Let l be y(v). Which is the third biggest value? (a) l (b) w (c) -0.4
a
Let o = 2/351 - 236/351. Let i(t) = -t**3 + 10*t**2 - 9*t. Let s be i(9). Suppose s = -4*h - 2*h - 24. Which is the third smallest value? (a) h (b) 3 (c) o
b
Let j be 44/(-11726) + (6 - -4) - 10. Which is the third biggest value? (a) j (b) 5 (c) 2
a
Let m = 6.11 - -413.89. Let d = m - 419.8. What is the biggest value in 5, 1, 3, d?
5
Let g be (-1)/20 - 341*(-22)/(-4840). Let d = 40/129 - -1/43. What is the third smallest value in g, 0.5, d, -1?
d
Let y = -0.235 - 0.465. Let f = -136 + 131. Which is the third smallest value? (a) f (b) 0.4 (c) 0 (d) y
c
Let l = 2 + 3. Let p be ((-8)/10)/((-1)/l). Let x = 56383 + -56383.4. Which is the third smallest value? (a) p (b) -3 (c) x (d) -4
c
Let m be ((-13 - 5/(-8)) + 12)*-44. What is the second smallest value in 4, m, -1, 5, -2/7?
-2/7
Suppose -4*j = j + 15. Let q = -401.04 - -401.44. Let w = 7 + -7. Which is the fourth biggest value? (a) j (b) 17 (c) q (d) w
a
Let x = -0.317 - 3.683. Suppose c + 2*c + 9 = 0. Let l be (-3)/6 + c/(-14). What is the second smallest value in l, -2, x, 3?
-2
Let v = 0.8 - 1.3. Let h be (-2 + 4)/(-3 + 5). Suppose 0 = -2*x + y, -h = x + y + 5. Which is the third smallest value? (a) 0.07 (b) v (c) x
a
Let v = 10 - 52. Let k be v/40 - (-7)/28. Let s be (-2)/(-36)*15*6/(-15). Which is the second smallest value? (a) -3 (b) s (c) -2/3 (d) k
d
Let j = 4.33 - -440.67. Let m = -448 + j. Which is the smallest value? (a) m (b) -1 (c) -2/9 (d) 4/7
a
Suppose -o - 4 = 6. Let s be (4*-1)/(-49 - (239/(-478))/(1/26)). What is the third biggest value in s, 4, o, 3/8?
s
Suppose 30*x - 1638 = -61*x. Let o = 1.04 + -0.04. What is the second biggest value in -1/6, -2, o, x?
o
Let r = -20.975 - -21. Let i = 0.175 + r. Which is the third biggest value? (a) 1 (b) 2 (c) i (d) -0.09
c
Let j = 0.0889 - -7.5811. Let n = j - -24.23. Let z = 32 - n. Which is the second biggest value? (a) -0.4 (b) 2/17 (c) z
c
Let y = -0.18 + 10.58. Let x = 3.6 + y. Which is the smallest value? (a) -7 (b) x (c) -4
a
Let z = 2.984 - 0.984. Which is the biggest value? (a) z (b) -190 (c) 2/15 (d) -2/15
a
Let x = 12/23 - 25/92. Let m = -32976.3 - -32976. Which is the second biggest value? (a) -3 (b) 1 (c) x (d) m
c
Let i = -120/67 - -1055/402. Which is the second biggest value? (a) -3 (b) i (c) -0.631 (d) 4
b
Let t = -0.302 + -0.098. Let q = -27 + 27.4. Which is the fourth biggest value? (a) q (b) -11 (c) t (d) 0.5
b
Let y = 7376.9 + -7377. What is the second biggest value in 1112, y, 2/5?
2/5
Let p = 110.999 - -1.201. Let q = -112 + p. Which is the third biggest value? (a) 7 (b) -0.2 (c) q (d) 1.3
c
Let p be (((-24)/(-4))/60)/((-2)/(-3484)). Let h = 173 - p. What is the third smallest value in h, -100/7, -0.5, 0.4?
-0.5
Let l = 0.45234 + -0.05234. Let p be 21/(-6)*6/56. Which is the third smallest value? (a) -6/7 (b) p (c) l
c
Let r = -189.17 + 124.17. What is the third smallest value in 14, r, -3?
14
Let m = 88 - 48. Let h = -193/5 + m. What is the second biggest value in h, -0.5, -4/9?
-4/9
Suppose 0 = 3*f + 12, 2*p + 337*f = 333*f - 26. Let l = -3302/11 - -300. What is the biggest value in -1, l, -4/9, p?
l
Let s be -17 + 15*(-361)/(-285). Let r = 57 - 227/4. What is the second biggest value in s, r, 0, -7?
r
Let z = -95977/23 + 4173. Which is the second smallest value? (a) z (b) 0.5 (c) 3 (d) -1/2 (e) 1
a
Let s = 6059 - 6059.3. Let q = -3 + 2. Which is the third biggest value? (a) -4 (b) 314 (c) s (d) q
d
Let s = -47/124 + 4/31. Let w = 26 - 77/3. Which is the second smallest value? (a) s (b) w (c) -2/7 (d) -9
c
Let k = 0.02 - -72.98. Let x = -54 + k. Let s = x + -23. Which is the second smallest value? (a) 1 (b) -9 (c) s
c
Let r be (-2 - -1)/(1*-6). Let z = 8.6 + -0.8. Let y = z + -8.3. Which is the biggest value? (a) y (b) 2/3 (c) r
b
Let u = 88.069 - 0.269. Let i = 88 - u. Let v = -89/12 - -27/4. What is the third smallest value in -0.6, i, v?
i
Let u = -4692 + 4692.5. Which is the fourth smallest value? (a) u (b) -0.08 (c) -5 (d) 17
d
Let d = -0.00254 + -0.09746. What is the biggest value in 0, 0.02, d, -2/13?
0.02
Let n(q) = q + 2. Let j be n(-2). Let w = -115/309 + -697/618. Which is the second smallest value? (a) j (b) w (c) 0.042
a
Let m be (4/(-3))/(200/(-75) - -6). Which is the fourth smallest value? (a) 4 (b) m (c) -2/19 (d) -2/3 (e) -2/9
c
Let o = 6080 + -6059. Let k = 122 + -1588/13. What is the fourth biggest value in -4, -1/2, k, o?
-4
Let n = 16381 + -16380.6. Which is the fifth biggest value? (a) 1 (b) 4/31 (c) 4 (d) 9 (e) n
b
Let k be (592/(-56) - -10)*((-11)/(-18) - 1). Which is the biggest value? (a) -0.7 (b) 3/8 (c) k (d) 1/2 (e) 0
d
Let k(f) = -32 + 13*f + 3*f**2 + 2*f**2 - 4*f**2. Let z be k(-15). Let t be (22/14 + z)*2. Which is the smallest value? (a) -5 (b) t (c) 5 (d) 2/3
a
Suppose h + 0 + 5 = 0, 3*h = 5*v - 7310. Let o = -42307/29 + v. Which is the smallest value? (a) 0.2 (b) o (c) 1
b
Let p = 7747/190 - 1168/19. Let j = p + 104/5. Let r = 8 - 11. Which is the fourth biggest value? (a) 7 (b) j (c) 2 (d) r
d
Let z = -10392 + 10396. Which is the fourth smallest value? (a) z (b) -377 (c) -4 (d) -0.5
a
Let f = 59 - 67. Let o(s) = -2*s**2 + s - 11. Let r be o(f). Let h be -1 - (r/6)/7. Which is the fourth smallest value? (a) -5 (b) -0.1 (c) 5 (d) h
c
Let g = -4.32271 + 0.32271. What is the smallest value in g, 4, -1, -3/10?
g
Let h be (-1 - (-2 - -4))*(17 + 7). Let s be (-64)/(-80) - h/10. Let i = -0.1 + 0.3. Which is the third smallest value? (a) s (b) i (c) 2
a
Let x = 1636 - 13091/8. What is the third biggest value in 2/19, -0.9, -5, x, 0.1?
x
Let a = 0.3249 + -0.1249. What is the fifth smallest value in 1.5, -2/35, 5, a, 0.1?
5
Let d = -0.3 - -0.8. Let l = 20.131 - 9.131. What is the biggest value in l, d, -0.1?
l
Let j = -5.4 - -6. Let q = 14209 - 128684/9. Let p = -89 - q. What is the third biggest value in j, p, 0?
0
Suppose 0 = 43*l + 3*l - 368. Which is the biggest value? (a) -2/9 (b) 0 (c) -72 (d) -0.4 (e) l
e
Let z = -17.228 + 17.2. Let n = 123.328 + -127.3. Let y = z + n. What is the third biggest value in 3, 4, -1, y?
-1
Suppose 5 = u, -143 + 159 = -2*k + 2*u. Let v be 1/3 - (-5)/(-24). What is the biggest value in 0.05, v, k, 0?
v
Let h = 45.49 + -0.49. Let o = 44 - h. Let a = -102 - -103. What is the second biggest value in -4, a, o, -3/4?
-3/4
Let z = -925 - -938. Let n = -2.4 - -22.2. Let i = n - 20. Which is the second biggest value? (a) i (b) z (c) 5 (d) 4
c
Let m be (-2 + 1463/(-2))*26/65. Let r = m + 19073/65. What is the second biggest value in r, 4, 0?
r
Let o = -49385 + 46852.1. Let d = o + 2679. Let p = -146 + d. Which is the third smallest value? (a) 5 (b) -1.5 (c) p
a
Let i = -13310.6 - -13311. Which is the fourth biggest value? (a) 145/6 (b) 5 (c) 4 (d) -3 (e) i
e
Let f = 0.68521 + -0.18521. Which is the third biggest value? (a) -0.04 (b) -16.52 (c) f
b
Let h be (6/(-10))/((-117)/(-78)). Let i = 697.81 - 698. Which is the third smallest value? (a) i (b) h (c) -0.1
c
Let p be (32/(-160))/(1/(-10)). Suppose 2*v - 4 = -4*m, 2*v = 2*m - 0 - p. Let r = -0.2 - 0. What is the smallest value in r, -1, m, 10?
-1
Let g = 117222/5 + -23445. What is the second biggest value in 1, 5, g, 1/4, 140?
5
Let j = 623 - 623.3. Let h = 0.05 - -0.35. Let m = h + j. Which is the smallest value? (a) 3/2 (b) m (c) -0.3
c
Let x = -0.5826 - -0.8826. Which is the fourth smallest value? (a) 8 (b) 1/4 (c) x (d) -2
a
Let t = 2.2 + -2.3. Let p = 143 + -143.2. Which is the third smallest value? (a) -8/7 (b) p (c) -4 (d) t
b
Let p = -17.273 + 181.273. What is the fifth biggest value in -2/17, 2, -4, -2/3, p?
-4
Let y = 164 + 384.7. Let u = 549 - y. Let o(l) = -l**3 + 4*l**2 - 3*l - 1. Let q be o(3). Which is the third biggest value? (a) u (b) q (c) 5 (d) 0.04
d
Let g be (-5 - -11)*75/(-10). Let q be (2/333)/(60/g). Which is the biggest value? (a) -2/9 (b) q (c) 0.5
c
Let g = -0.61 - -2.06. Let l = -0.45 + g. Let u = 7/17 - 71/255. What is the fourth smallest value in 4/7, l, 2/3, u?
l
Let w be (-64)/616*(-16)/64. Let o = -0.02 - 0.08.
|
{
"pile_set_name": "DM Mathematics"
}
|
876 (base 10) to base 13.
28cb7
104525 (base 6) to base 11
6704
What is -247a210 (base 12) in base 9?
-14366503
Convert -1d96c (base 15) to base 12.
-47b03
What is -980c8 (base 13) in base 4?
-1003011211
Convert -1700362 (base 8) to base 11.
-306517
What is 149b8c (base 14) in base 16?
af680
What is 508a47a (base 12) in base 15?
14d823d
Convert 39b9899 (base 13) to base 10.
18157486
What is -100110011000001100 (base 2) in base 13?
-56720
Convert 639151 (base 10) to base 14.
128cd9
What is 2030515 (base 6) in base 7?
553640
What is -111110001001111000 (base 2) in base 7?
-2110141
What is 12202101100120 (base 3) in base 5?
1240332123
-4371332 (base 9) to base 6
-122210515
What is 1000010110010001110 (base 2) in base 7?
2216344
-2150776 (base 8) to base 4
-2031013332
What is -19550 (base 13) in base 2?
-1100000001011100
-1340344012 (base 5) to base 12
-11a4562
300013021 (base 4) to base 10
197065
213143152 (base 6) to base 3
21010200202112
121120202020 (base 3) to base 7
2526426
Convert -4aabb9 (base 13) to base 6.
-102245031
Convert -12161113 (base 9) to base 6.
-331231320
-32022021013 (base 4) to base 11
-2105605
What is 4233221 (base 6) in base 9?
344604
Convert -1011001111100011001101 (base 2) to base 10.
-2947277
-19206a9 (base 11) to base 15
-443482
What is 783642 (base 12) in base 11?
1097968
Convert 1111011001010100111 (base 2) to base 9.
848021
Convert 8199c1 (base 13) to base 14.
5889da
Convert -60722 (base 12) to base 5.
-13003300
43221133 (base 5) to base 4
1121213003
Convert -48013 (base 11) to base 13.
-25681
13330132101 (base 4) to base 10
2082705
Convert -2ab3c5 (base 16) to base 14.
-52bc33
What is 6582d (base 14) in base 12?
ba315
635417 (base 9) to base 6
12033454
Convert 27212 (base 13) to base 8.
216226
What is -7ed3 (base 16) in base 10?
-32467
Convert 3121120002 (base 4) to base 11.
558a48
7685 (base 9) to base 7
22343
Convert 172011 (base 8) to base 5.
3444343
Convert 3535278 (base 9) to base 16.
1d3129
Convert -2211131110 (base 4) to base 12.
-288244
62493d (base 14) to base 4
30221231123
-21222202101212 (base 3) to base 11
-2440693
Convert 867537 (base 13) to base 15.
425a70
111001000111000111100 (base 2) to base 8
7107074
Convert -23508c (base 16) to base 6.
-121334420
What is -60223 (base 9) in base 14?
-105ad
Convert -11011000010111111 (base 2) to base 8.
-330277
What is 661414 (base 10) in base 12?
27a91a
144b (base 12) to base 11
1859
Convert 2a775 (base 14) to base 5.
11340442
What is -55bcd (base 14) in base 11?
-132416
What is -c18369 (base 13) in base 11?
-25a5672
Convert 210201320321 (base 4) to base 12.
32597b5
3a889 (base 14) to base 11
99522
What is -2024040322 (base 5) in base 16?
-3efb63
What is 12142021323 (base 5) in base 16?
dbd821
Convert -2719b (base 16) to base 11.
-aa366
Convert -4b05ab (base 12) to base 5.
-303134100
What is -4450430 (base 7) in base 8?
-2062236
120010111230 (base 4) to base 8
30042554
What is 15080 (base 15) in base 14?
1a900
What is b38919 (base 12) in base 9?
5258683
Convert -130222222 (base 4) to base 14.
-30b10
7463000 (base 8) to base 3
10202012202220
What is -214202024 (base 6) in base 5?
-1440414132
Convert -310410010 (base 5) to base 14.
-24c478
What is 379704 (base 10) in base 9?
637763
Convert -12141520 (base 7) to base 3.
-2001011111211
What is -100100000111101010011 (base 2) in base 11?
-739264
What is 3152052 (base 8) in base 4?
3031100222
1b421 (base 13) to base 11
37164
Convert -319195 (base 10) to base 13.
-b2396
What is 3266601 (base 8) in base 5?
211130001
Convert -1660332 (base 10) to base 13.
-46195b
-11465312 (base 7) to base 13
-29b53b
11110201322 (base 4) to base 7
14566334
What is -101101100001001010111 (base 2) in base 10?
-1491543
Convert -100066434 (base 7) to base 15.
-793076
100011001111011100010 (base 2) to base 9
2150055
Convert 180229c (base 13) to base 6.
435120234
20021310230 (base 4) to base 5
1021344023
What is -2192117 (base 11) in base 6?
-214135543
a108c2 (base 13) to base 12
1306109
What is 2021200021 (base 3) in base 5?
2414322
What is -1a7016 (base 11) in base 2?
-1001101010101111011
306014 (base 8) to base 4
120300030
Convert -2123544 (base 6) to base 4.
-121201120
What is 20225133 (base 7) in base 8?
6337372
79205 (base 12) to base 8
472345
Convert 6b6924 (base 12) to base 7.
20504560
20011003 (base 4) to base 2
1000000101000011
Convert 23550037 (base 8) to base 10.
5165087
What is -1324231030 (base 5) in base 12?
-11579a7
What is 3030647 (base 8) in base 7?
6535602
What is -104211506 (base 7) in base 13?
-13b7a60
Convert 13401120 (base 7) to base 13.
34738b
-22355053 (base 6) to base 7
-5546322
What is -5a03a (base 13) in base 11?
-102920
What is -31101 (base 11) in base 16?
-b140
-27030147 (base 8) to base 2
-10111000011000001100111
440132102 (base 5) to base 15
2721bc
Convert cbe425 (base 15) to base 2.
100101000100011100111000
Convert -200123 (base 7) to base 12.
-175a8
Convert 1011203324 (base 5) to base 3.
10212022222212
11110011101111010000101 (base 2) to base 9
16022765
What is 25148a (base 11) in base 3?
202011212212
Convert -17b70 (base 12) to base 8.
-103304
What is 1725d10 (base 14) in base 4?
223130020122
Convert -99241 (base 13) to base 7.
-2233126
Convert 5a81b (base 14) to base 3.
102020022101
-79b0c (base 15) to base 10
-387237
-2213222303 (base 4) to base 6
-22415255
What is 1041a7 (base 15) in base 5?
144221012
What is 2061716 (base 11) in base 7?
42611212
What is -a014 (base 16) in base 12?
-1b870
What is -2253121 (base 10) in base 5?
-1034044441
Convert 421103 (base 5) to base 2.
11011001001111
347b0 (base 12) to base 6
1301140
443132 (base 7) to base 8
230155
3442202 (base 5) to base 13
223bb
What is 31331030 (base 5) in base 10?
261390
10110111011011011 (base 2) to base 7
540543
What is 1010101111001001000 (base 2) in base 11?
220363
What is -b93b32 (base 12) in base 11?
-1721876
-156247 (base 10) to base 7
-1220350
What is -50031501 (base 7) in base 14?
-795671
-5233152 (base 6) to base 12
-1027b8
21012204 (base 5) to base 12
84004
-10101110000100110101 (base 2) to base 8
-2560465
Convert -239d65 (base 15) to base 13.
-4787c6
Convert 24345335 (base 6) to base 10.
776219
-21185 (base 10) to base 6
-242025
What is dd866 (base 14) in base 7?
4363556
What is -cb82c (base 13) in base 2?
-1011001111010100001
Convert 963656 (base 12) to base 14.
4599d0
2231423112 (base 5) to base 3
100022120101201
Convert 2582420 (base 10) to base 14.
4b3188
What is -71d01 (base 14) in base 8?
-1027435
Convert 1101102201000 (base 3) to base 4.
2303320203
What is 255342524 (base 6) in base 16?
4c9e94
-49149 (base 11) to base 9
-117004
Convert 830782 (base 9) to base 13.
143363
Convert 2040337 (base 8) to base 12.
221027
What is 11422130 (base 5) in base 9?
173766
Convert -a16804 (base 13) to base 2.
-1110010100111111111101
What is 1712b96 (base 12) in base 9?
8844756
Convert 1010111101101011010 (base 2) to base 16.
57b5a
Convert 63422104 (base 7) to base 14.
9d9c74
Convert -10334312 (base 5) to base 6.
-1532245
-152556 (base 8) to base 9
-82848
What is -121210121221 (base 3) in base 11?
-206501
What is -101112232 (base 4) in base 16?
-115ae
Convert -10222210020011 (base 3) to base 7.
-24014203
-25235332 (base 6) to base 16
-c6ae8
What is 233331000030 (base 4) in base 8?
57750014
What is -55e92b (base 16) in base 12?
-1a762b7
Convert -200725 (base 9) to base 12.
-58828
Convert -15530134 (base 7) to base 10.
-1503100
-33549 (base 12) to base 13
-2504a
Convert -1e609 (base 16) to base 7.
-1025520
Convert -744205 (base 8) to base 10.
-247941
What is 633040 (base 7) in base 3?
12112122211
-120131211 (base 4) to base 8
-303545
22c36 (base 15) to base 10
110751
29749 (base 16) to base 2
101001011101001001
-15052044 (base 6) to base 10
-520156
1527bd (base 14) to base 12
2b656b
What is -1372a6 (base 12) in base 13?
-b4366
3540502 (base 8) to base 16
ec142
Convert 1222344 (base 6) to base 8.
177530
What is -41a1875 (base 11) in base 7?
-116602635
11320c7 (base 13) to base 14
9b934a
Convert -723759 (base 10) to base 6.
-23302423
What is -2848441 (base 9) in base 14?
-2cb475
Convert 114231001 (base 5) to base 8.
2035555
-101220220120021 (base 3) to base 12
-1b3b25a
-1862637 (base 9) to base 16
-ff2b9
195b1 (base 13) to base 4
30002223
What is -
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 111 - 59 to the form p*a + u*a**2 + j and give u.
226
Rearrange (-4285 + 4994 - 2231)*(0 - x + 0) to t*x + i and give t.
1522
Rearrange (2*b + b + 6*b)*(b + 4*b - 2 - 2*b) to the form a*b + i*b**2 + f and give a.
-18
Rearrange -11 - 2*m**2 + 0*m**2 + 16*m**2 - 7*m**2 - 5*m**2 to the form y + d*m**2 + u*m and give u.
0
Express (1 - 3 + 0)*(-26 + 15*u + 26)*(-8 + 13 + 11) as p*u + t and give p.
-480
Rearrange -2*p**2 + 4*p + 30*p + p**2 - 15*p to the form o + i*p + r*p**2 and give r.
-1
Express 2*c**2 + 184 - 2089*c**4 + 1042*c**4 - c**3 - 2*c**2 + 1048*c**4 as m*c + i*c**2 + u*c**3 + l*c**4 + x and give l.
1
Express -59*d**3 - 3 - 9 - 6 + 53*d**3 in the form s + c*d + j*d**3 + o*d**2 and give j.
-6
Rearrange 31*n**2 + 62*n**2 - 92*n**2 - 331*n to the form o*n + u + l*n**2 and give o.
-331
Rearrange -18*m + 34*m + 2*m**2 - 9*m - 19*m + 3 + m**3 - 13*m to the form x + g*m + u*m**2 + q*m**3 and give g.
-25
Rearrange 1 + 3*z**2 + 12*z**3 - 2*z**3 - 5*z + 4*z**2 - 8*z**3 to the form w*z**3 + a + d*z**2 + c*z and give d.
7
Rearrange (2*d - 6*d + 2*d)*(25 - 120 - 284) to the form f*d + i and give i.
0
Rearrange 2*l**2 - l**3 + 3*l**4 + 12*l**3 - 3*l - 2*l**3 - 7*l**3 - 4 to the form x*l**4 + k + b*l + i*l**2 + q*l**3 and give b.
-3
Rearrange -17*a + 73*a - 17*a + 108 - 21*a - 20*a to the form u*a + g and give u.
-2
Rearrange -3635*y + 1 + 1494*y + 1696*y to the form s + z*y and give z.
-445
Rearrange 3*o**2 + o - 2*o + 228*o**2 - 13*o + 12*o to g + l*o**2 + k*o and give l.
231
Express -6*m**2 + 20*m**2 - 2*m**2 + (m + 0*m - 2*m)*(-5*m + 3*m + m) + 0 + 0 - 2*m**2 - 5*m**2 + 13 - 13 in the form v*m**2 + t + f*m and give f.
0
Express 41 - 4*d + 0*d + 2*d - 17 in the form x*d + o and give x.
-2
Rearrange -66*k**2 + 9*k + k**3 - 21*k + 10*k - 99*k**2 to the form l*k**3 + i*k + x*k**2 + y and give y.
0
Rearrange (0*b - b - b)*(-4*b + 0*b + 3*b) + 0 - b**2 + 0 - 3*b**2 + 3506 - 8*b**2 - 3508 to the form r + i*b**2 + f*b and give i.
-10
Express 12*k**4 - 53*k**2 + 2 - k**3 - 53*k**2 - 3*k + 104*k**2 as v + h*k + m*k**3 + t*k**4 + w*k**2 and give m.
-1
Rearrange -2*r**3 + 0*r**3 + 5*r**3 + (0*r**2 - 3*r**2 + r**2)*(-13945 + 13945 - 216*r) to the form p*r + u*r**3 + a*r**2 + t and give u.
435
Express 2 + 241*r**3 - 1 - 240*r**3 + 15*r**4 - 2*r**2 as c*r**3 + k*r**2 + u + o*r + n*r**4 and give n.
15
Rearrange -i + 175*i**4 - 111*i**4 - i + 2*i**3 - 3*i**3 - i**2 to the form c + g*i**3 + b*i**4 + d*i + o*i**2 and give g.
-1
Express (-2 + 7 - 3)*(42355 - 42355 + 212*z) as s*z + m and give s.
424
Express -2*o + o + 2804 - 2943 in the form w + u*o and give w.
-139
Rearrange 5*z + 10*z**2 - 12*z**2 + 0 + 5 - 25*z**2 to the form r + b*z + g*z**2 and give b.
5
Express -16 - 25 + 810*n - 94*n + 41 as o + p*n and give p.
716
Rearrange (-32*o + 32*o + 48*o**3)*(4 - 4 - 3*o) + (-2*o**3 + 2*o**3 + 2*o**3)*(-2*o + 0*o + o) to l*o**3 + u*o**4 + s*o**2 + g*o + q and give u.
-146
Rearrange -41 + 33 + 29 + 202 - 4*j to r + n*j and give n.
-4
Express 0*y**2 - 2 + 1 - 2*y - y**2 + 8 in the form i*y**2 + n*y + x and give x.
7
Rearrange -7*a**2 + 6 - 9 + 2 to the form l*a**2 + m*a + f and give f.
-1
Express -17*u + 17*u + 2*u**3 + (1 + 2 - 1)*(11*u - 12*u**3 - 11*u) as z*u**2 + g*u + f + a*u**3 and give z.
0
Express (2*k**2 + k**2 - 5*k**2 - k)*((67*k - 10*k + 29*k)*(-k + 2*k + k) + (-k + 2*k - 2*k)*(-3*k + 4*k + k)) as m*k**4 + t*k + s*k**2 + j + o*k**3 and give m.
-340
Express 470*d**2 - 3342*d + 1870*d**2 + 3342*d in the form k + w*d + b*d**2 and give k.
0
Rearrange 85*d - 437*d**3 - 212*d**3 - 87*d to the form j + o*d**3 + g*d**2 + q*d and give o.
-649
Express -3*o + 56*o - 319*o as w + q*o and give q.
-266
Rearrange (4*a + 0 + 0)*(-4 + 3 - 4)*(-2*a - a + 5*a)*(0*a**2 - 16*a**2 + a**2) to f*a**3 + d + p*a + t*a**2 + v*a**4 and give v.
600
Rearrange -2*m**2 - 5*m**3 + 5*m**4 + 185 - 6*m**4 - 189 to the form h*m**2 + p*m**3 + c*m**4 + d*m + w and give h.
-2
Express -268*j - 3*j - 181*j - 128*j as o*j + l and give l.
0
Express 4*n**2 + 502 + 505 - 3*n - 1002 as t + b*n + c*n**2 and give t.
5
Express 40*w**3 - 2*w**3 + 2*w**3 + (-30 - 35 + 31)*((3 - 3 + 2*w)*(w**2 - 3*w**2 + 0*w**2) + 2*w**3 + 0*w**2 + 0*w**2) as y*w**2 + m*w + d + z*w**3 and give z.
108
Express 1801*q + 1719904 - 1719904 in the form h*q + g and give h.
1801
Rearrange h**3 - 2*h - 2*h**4 + 2*h**2 + h + 22 + 0*h**3 - 24 to the form p*h + s*h**3 + a + b*h**4 + x*h**2 and give a.
-2
Express 5*d**2 - d**2 - 2*d**2 - 125*d**2 - 72*d**2 + 148*d**2 + (-1 - 2 + 5)*(4*d**2 + 0*d**2 - 2*d**2) in the form r + q*d**2 + a*d and give a.
0
Rearrange (17 - 12 - 30*f + 68*f)*(0*f**2 + f**2 - 3*f**2) to g*f**2 + y*f + l + s*f**3 and give y.
0
Rearrange (h**2 - 2*h**3 - h**2)*(1465 + 1425 - 4390 + 4*h + 1416) to the form q*h**4 + x + c*h + u*h**2 + a*h**3 and give a.
168
Rearrange (2 - 7 - 5)*(-3*l + 6*l - l)*(20*l + 16 - 16) + (-l - 2*l + 2*l)*(l + 0*l - 2*l) to the form z*l + h*l**2 + k and give h.
-399
Rearrange -1176 - j + 587 + 588 + 308*j**4 to the form s*j**4 + z*j + n*j**2 + a*j**3 + f and give z.
-1
Rearrange 975 - 976 - 156*x + 25*x to the form t*x + j and give j.
-1
Express -8*r**3 + 4 + 19*r**3 + 5*r - 7*r**2 - 5*r - 7 in the form y + x*r + q*r**2 + h*r**3 and give y.
-3
Rearrange -45*q + 13*q + 60*q**3 + 30*q to a*q**2 + w*q + n*q**3 + d and give w.
-2
Express -3*o**2 - 7 + 10 + 9 + o**2 in the form i + u*o + x*o**2 and give i.
12
Rearrange 11*t - 8*t - 15*t - 10 + 7*t - 5*t to the form r + p*t and give p.
-10
Rearrange (-y**3 + 4*y - 4*y)*(-207*y + 251*y - 438*y) to m*y + b*y**4 + q*y**2 + v + n*y**3 and give b.
394
Rearrange 13 + 5 - 6*t + 3 - 18 to a + y*t and give y.
-6
Express 11*f**3 + 19*f**3 + 33*f + 69*f - 29*f**3 in the form n + y*f**3 + w*f + g*f**2 and give y.
1
Rearrange (-1321 - 904 - 315 - 7105 - 1114)*(-2*n**2 + 2*n**2 + 2*n**4) to c*n + y*n**2 + k*n**4 + w*n**3 + p and give k.
-21518
Rearrange (-88 - 163 - 2*j + 127)*(-4 + 2*j**2 + 4) to p + d*j**2 + b*j + t*j**3 and give d.
-248
Express -2*f + 39 - 47 - 62 - 50 - 10 in the form u + y*f and give y.
-2
Express (1 - 21*w - 8*w + 4*w)*(3*w**2 - 4*w**2 - 4*w**2)*(w + 4*w - 4*w) in the form q*w**2 + u + x*w + o*w**4 + n*w**3 and give o.
125
Express (-5 + 3 - 1)*(-277*r + 357*r + 648*r) as u + a*r and give u.
0
Express 4 + 75*q - 1 + 3 - 7 + 3 in the form j + m*q and give j.
2
Express t**4 + 1 - 1 + 4*t**4 + 11 - 11 + (-4*t + 11 - 11)*(6 - 6 - 2*t**3) as f*t**4 + z*t + u + h*t**3 + a*t**2 and give a.
0
Express (3 - 3 - 1)*(-200*z**3 - 15166*z**2 + 15166*z**2) - 2*z**3 + z**3 + 2*z**3 in the form q*z + o*z**2 + h + k*z**3 and give h.
0
Express (-61558*x - 71 + 61525*x + 8)*(3*x**2 + x**3 - 3*x**2) in the form s*x**4 + l*x**3 + i + b*x + m*x**2 and give s.
-33
Rearrange (-3*b**2 - 2 + 2)*(35 - 4*b - 4 + 6*b) + (-5*b + 4*b + 3*b)*(-2*b + 2*b - 2*b**2) to the form r + t*b**3 + d*b**2 + p*b and give t.
-10
Express (2*n + n - 4*n)*(-3*n**3 - 5*n**2 + 5*n**2) - 61*n - 62*n**4 + 61*n + 0*n**4 - n**4 + 2*n**4 as f*n**4 + p*n + h*n**3 + q + t*n**2 and give q.
0
Express (1 - 4 + 0 + 4*h**2)*(-859 + 430 - 25*h + 432) in the form i*h**3 + x + r*h**2 + z*h and give x.
-9
Rearrange (-2 + 5 - 2)*(-4458*d + 4458*d + 9*d**3 + (-4*d + 3*d + 0*d)*(4*d + d**2 - 4*d)) to the form n*d**2 + z*d**3 + x + y*d and give z.
8
Rearrange -85 - 71 - l**3 + 12*l**2 + 151 to the form k*l**3 + m + d*l + p*l**2 and give m.
-5
Express (2*y - 3*y - y - 1 + 1 - y + (2*y + y - 4*y)*(1 + 4 - 4) - 1 + 1 - 2*y + 3*y - 2*y - 2*y + 6*y - 2*y - 3*y)*(-2 + 10 - 5) as o*y + v and give o.
-18
Express (586 - 586 - 9*s**3)*(s - 2*s - 4 + 5) in the form n + i*s**3 + r*s**2 + b*s + l*s**4 and give i.
-9
Express ((-2 - 2 + 3)*(-3 + 2 + 3) + (-1 + 1 + 1)*(-1 + 0 - 2)*(-1 + 3 - 3))*(-1040 + 1040 + 27*s) - 2*s + 0*s + 5*s in the form a*s + f and give f.
0
Rearrange -155*b**2 - 84*b**2 + 0 + b**2 + 0 to the form i*b + j + g*b**2 and give g.
-238
Rearrange -4*c**4 + 0*c**4 + 3*c**4 + 51*c**4 + 54*c**4 + 13*c**4 + (c + 3*c - 2*c)*(-4*c - c**3 + 4*c) to h*c**3 + n + t*c**4 + k*c + x*c**2 and give t.
115
Rearrange (b**2 + 0*b**2 - 5*b**2)*(42 - 43*b**2 - 42) to the form w*b**2 + q*b**4 + r*b**3 + o*b + p and give w.
0
Express 4*o**3 - 87*o**3 - o + 3*o**3 + (5*o**2 + 3*o**2 - 4*o**2)*(-7*o + o + 4*o) in the form
|
{
"pile_set_name": "DM Mathematics"
}
|
(l + 0). Solve -1 = -3*i - p + 1, x = 2*i - 3*p - 5 for i.
1
Suppose 2*j = 15*j - 65. Solve -j*d = -o - 10*d - 15, 29 = 5*o - d for o.
5
Suppose 0 = -4*x - 4*i + 44, 0 = -x + 5*x - 4*i - 20. Suppose 4*v + 6 - 18 = 0. Suppose 9 = 3*o - 3. Solve -v*t + o = -n, 2*t = t - n + x for t.
3
Let u = -7 - -11. Let c be (0 + 12)*52/(-16). Let k = -21 - c. Solve -2*o + 4*o + 4*m = -k, 0 = -3*o - u*m - 23 for o.
-5
Let v(s) = s**3 + 7*s**2 + 3*s + 21. Let i be v(-7). Suppose -10*c + 16 + 34 = i. Solve -3*p = -c*z - 26, -2*p + z + 7 + 1 = 0 for p.
2
Suppose 0 = 5*i + 2*b - 5, i + 4*b = 6*i - 35. Solve -3*v + i = 12, v = 2*z - 9 for z.
3
Suppose -2*f + 104 = -f. Let a = f - 100. Solve -5*v = b - 5, 4*v = -a*b - b - 17 for v.
2
Let b be (-2)/(-3)*(-54)/(-12). Solve 5*x + 30 = w, -3*w = -b*x - 19 - 11 for x.
-5
Suppose 0 = -2*c - 9 + 19. Solve -i + c*l - 1 = 0, -3*i + 8 = -0*i - 4*l for i.
4
Let g be 9/(-2)*(-80)/60. Let w be ((-2)/(-2))/(3/g). Solve 2*f + 3 = -l, 0 = -w*l - 5*f - 8 + 3 for l.
-5
Suppose -4*n = n - 40. Let s = 8 - n. Suppose 3*c + 9 = 0, 3*c + s*c - 11 = -5*w. Solve 0 = -4*h + 4*t - 24, -3*h - 2*h - w*t = 3 for h.
-3
Let l = -2627 + 2627. Solve 2*p - 2 + l = 0, 2*z + 2 = -4*p for z.
-3
Let a(y) = -y**3 - 5*y**2 - 4*y + 8. Let v be a(-3). Solve 0 = 5*x - 3*n - 2 + 11, 3*x + v*n + 13 = 0 for x.
-3
Suppose -3*h + 20 = -2*c + 2*h, -2*h = 2*c - 8. Let m = -489 - -494. Solve p + m*x = -2*p - 37, -2*x - 10 = c for p.
-4
Suppose -19*z + 17*z = -10. Suppose -17*i + 16*i = -z. Solve 0 = -s + 2*d + 1, 2*s + 0*d = i*d + 5 for s.
-5
Let z be (-468)/(-14) - (-18)/(-42). Suppose -4*d + z = -39. Solve -5*q + d = -2*b, 4*b - b + 10 = -q for q.
2
Let a be -2 + ((-55)/5 - -22). Solve 4*g - 24 = 4*p, -a + 8 = -g for p.
-5
Let d be (4/(-3))/((-69)/414). Solve 0 = -c - 0*c + 3*a + d, a = 3*c for c.
-1
Suppose 8 = -5*g + 73. Solve -g = 5*u - 2*n, 4*u = 2*u + 4*n - 2 for u.
-3
Let m be (-1)/1 + -3 + 4. Suppose m*r + 2*r - 58 = 0. Let f = r - 15. Solve f = -3*c + 2*p - 3*p, -5*c = -4*p + 29 for c.
-5
Suppose -153 = -4*d - 3*n, -n - 10 = n. Suppose 13*w = d + 10. Let h(b) = b**2 - b + 1. Let g be h(2). Solve -2*i = z + g, -2*z - w*i = -5*z - 19 for z.
-5
Let p = 1 + 9. Suppose 3*f - 8 = -f. Let k be -2 + f + 11 + 0. Solve -4*w - k = -5*w - 2*s, -2*w + 4*s - p = 0 for w.
3
Let d(x) = -x**2 + 14*x - 23. Let v(q) = -3*q**2 + 41*q - 68. Let j(c) = 11*d(c) - 4*v(c). Let g be j(2). Solve 0 = -l - 2*o + 4, -g*l + 12 + 0 = 3*o for l.
4
Suppose 2*a = 2*o + 8, -4*o - 2 = a + o. Let r be 3 + 1 + 3 + a. Let m = 0 - 0. Solve m = -5*i - 2*x - 16, -x = -2*i - 0*x - r for i.
-4
Let v = -8 + 86. Let j = v + -75. Solve -4*c - 11 = -y, j*y - 5 = 2*c - 2 for y.
-1
Suppose 620 = -114*h + 134*h. Solve -k + 13 = 2*t, 5*t - h = k - 3*k for t.
5
Let z(t) = -14*t**2 + 32*t - 8. Let f be z(2). Let w = -6 - -15. Suppose f = 11*d - 14*d + w. Solve d*s + 3*p = -9, -p + 2 - 4 = 0 for s.
-1
Let x be (-38)/285 + 47/15. Let h be (x/(-2))/((-55)/40 + 1). Solve -3*c + 4 = -f, -f + h = -4*c - 2*f for c.
0
Suppose 20 = 4*c - 4. Let y = 14 - c. Suppose y = 4*t - 12. Solve 3*m + t = 4*z + 4, 0 = 2*z - 5*m - 11 for z.
-2
Let w(b) = b**3 - b**2 + b + 20. Let f be w(0). Suppose -5*q + 5*i = -20, 3*q + 2*q = -2*i + f. Solve -z = -s - 0 - 1, -z + q*s = -13 for z.
-3
Let h be (-2 - -5) + (0 - 0). Let c = -9864 + 9866. Solve -4*f - 2*t + 5 = -3*f, 0 = h*f - c*t - 15 for f.
5
Let b be (2 - (-5 + 2))*165/25. Suppose -29*t - 4 = -b*t. Solve 19 = 2*g + 3*g - 2*r, 2*r + t = -g for g.
3
Let l = 23 - 16. Suppose -3*b - 12 = -3*d, -b = -5*d + 2*b + 12. Suppose 0 = -4*g + 20 - d. Solve -5*n + 21 = x, 4*n = 4*x + l + g for n.
4
Suppose 571 = -21*v + 634. Solve -5*d - v*j = -9 + 1, 5*j = 5 for d.
1
Let p = 11 - 8. Solve -p*n - 21 = 3*g, -2*g - g = 15 for n.
-2
Let v be 29/5 - (4 + (-160)/50). Solve 5*t - v*h + 50 = 0, -5*t - 31 = h - 11 for t.
-5
Let d = 43 + -35. Suppose -6*f + 2*f = -d. Solve -2*r + 3*c = f, -4*r + 5*c - 8 = c for r.
-4
Let u(c) = c**3 + 3*c**2 - c + 1. Let a be u(2). Let t = 2 - 6. Let h be ((-8)/(-12))/(t/(-24)). Solve 0 = n, 3*v + h - a = 5*n for v.
5
Let y be -4 + 22 + 16/(-8). Solve 6*c - 3*c = 5*i + y, 10 = -3*i + 2*c for i.
-2
Let a be (-2)/(-8) - 220/(-80). Suppose -2*i + 3*i = 4. Solve 0 = 4*l + 3*x - i - 5, -a*l + 5*x = 15 for l.
0
Let f(t) = 20*t + 34. Let q be f(-6). Let g = 89 + q. Solve -4*u + g*u - 4*m + 4 = 0, 5*m + 4 = u for u.
4
Let j = 35 - 32. Suppose 0 = 3*r + 12, -3*c = r - j*r - 29. Solve 2*y - c = -0*y + g, 4*y = -4*g - 16 for y.
1
Let f(r) = 5*r**2 + 1. Let x be f(-2). Let k be x/5 - (-4)/(-20). Solve p - 2*t - 20 = 6*p, -k*p - 2*t = 16 for p.
-4
Let q(o) = -3*o**2 - 29*o + 13. Let m be q(-10). Solve -l = m*l + 2*c - 22, 0 = 2*l + 5*c - 31 for l.
3
Suppose 7*m - 49 = -28. Solve -a + 9 = -3*x + a, -9 = m*x - 3*a for x.
-3
Let p be 6 + 18/4*(-4)/9. Solve 0 = t + i - 2 + 7, 0 = p*t + 5*i + 23 for t.
-2
Let w be (-12)/(-3) - 0/4. Suppose 4 + w = 4*n. Let g be -3 + 0 - (n + -15). Solve 2*y = -k + g, -k = y + 3*y - 18 for y.
4
Suppose 41 = -5*o + v - 23, -2*o - 36 = -3*v. Let k = o - -20. Suppose 4*l + 8 - 81 = -5*i, -3*l + 4*i = -16. Solve 0 = -0*h - h - 5*m - l, -k = 5*h - m for h.
-2
Let i = 1844 + -1839. Solve -2*w + 3*w + 4*y = 20, 25 = -w + i*y for w.
0
Let d(h) = -h**2 - 6*h - 5. Let u be d(-4). Suppose 12 = 4*c, -2*c - 85 = -5*t - 31. Solve 3*x = u*q + x - 8, 3*q - 3*x - t = 0 for q.
0
Let l = -68 - -71. Suppose -3*s + 7 = -0*s + 5*h, l*s = -2*h + 10. Solve -4*g = -s*t + 4, 23 = -g + 6*g + 2*t for g.
3
Let o = -178 - -180. Let y = -4 - -9. Solve -5 = n + 3*r + r, y*r = o*n + 10 for n.
-5
Let i = 167 - 7. Let v = -142 + i. Suppose -k + 3*g = -2*k - 8, -4*g = k + 12. Solve -k*u - v = -0*j + 2*j, -5*u = -5*j for u.
-3
Suppose -4*l - 6*v + v + 118 = 0, -2*l - 3*v = -58. Suppose -84 = -13*u - l. Solve 5*d - 13 = -0*o - 4*o, 4*o = 4*d + u for d.
1
Let w = -539 - -565. Suppose -1 = -2*s + 9. Solve -h - 5*k = -k - 21, s*k = -h + w for h.
1
Let c(v) = 32*v + 130. Let q be c(-4). Solve -4*t = 3*i - 4, q*i + 2 + 0 = -5*t for t.
-2
Suppose 0 = 11*r - 177 + 144. Solve -3*d + 3*m = -13 - 8, -14 = r*d + 4*m for d.
2
Let y(a) = a**3 - a**2 - 3*a + 7. Let x(p) = 1. Let v(m) = 5*x(m) - y(m). Let g be v(-2). Solve g*o = -4, 6*o + 11 = -4*f + 3*o for f.
-2
Let d(u) be the first derivative of -u**2/2 + 46*u + 17. Let i be d(31). Solve 0 = 4*g - 3*s + i, 2*g - 2*s + 3 = -7 for g.
0
Suppose -2*b - 4*m = 0, 3*b + 4*m - 4 + 0 = 0. Solve 3*s - k = 0, 0*s = -s - k + b for s.
1
Suppose -7*m = -469 + 343. Solve 3*h - 6 = -5*z, -5*z + z + 2*h = -m for z.
3
Let t be (-3 - -2)/(-1) - (-139 - -2). Let o = 157 - t. Solve -2*s = -5*v + 23, 4*v + 0*s = s + o for v.
5
Suppose -m = -7 - 9. Suppose 6*y + m = 4*y. Let d = 10 + y. Solve 3*w = 2*h - 12, 0*h + 5*w = -d*h - 20 for h.
0
Let t be 66/2 + (-4)/2. Let h = -22 + t. Let s = 191 - 188. Solve -5*x = -s*r + 6, -r = -2*r - 2*x - h for r.
-3
Suppose -95*y = -97*y + 2*w + 4, -2*y - 2*w - 4 = 0. Suppose 2*r + 4*t + 6 = 0, 4*t + 40 - 16 = 4*r. Solve -4*m + 2*k - 4 + 30 = y, -r*m + k + 17 = 0 for m.
4
Let t(b) = -7*b - 2. Let l = 24 + -25. Let r be t(l). Solve 0 = 4*p + 8, r*p = -4*c + 3*c - 13 for c.
-3
Let y = 3 - 3. Suppose 0 = -5*o - y*o. Solve -4*c = 2*m + 10, -4*c = 4*m - o*m + 16 for m.
-3
Suppose -67*c = -60*c - 35. Solve 5*g - 35 = c*m, 2*m + 0*m = -g - 8 for g.
2
Suppose -3*y = 15, -k - 5 = y - 3. Solve -24 = h - 5*j, -k*j = 5*h - 26 + 6 for h.
1
Let g(r) = -r**2 + 16*r + 2. Let c = 22 - 6. Let u be g(c). Let s be (-2 - (-5)/3)*(0 - 15). Solve -o = -n - s, o + n = u - 3 for o.
2
Let n be (11 + -15)/(-1*8/18). Solve -n = 3*y + 3*r, -4*r + r = -2*y + 19 for y.
2
Let b(c) = 4*c + 22. Let x = 69 + -73. Let n be b(x). Solve 4*q = 3*r + n, 3*q + 4*r = -11 + 28 for q.
3
Let c be (-27)/4 - (-2)/(-8). Let y be c + 20/5 - -8. Let w = y + -5. Solve -2*h + 2 = 4*j - 5*h, -4*h + 8 = w for j.
2
Suppose -31 = 8*n - 55. Solve -4*m + 9 = -5*c, 0 = 4*m + c + n*c for m.
1
Suppose -5*v + 76 = 2*p, 5*v + p + 2*p = 74. Suppose -19*h = -v*h - 6. Solve 0*u + h*k - 10 = -4*u, k = 5 for u.
0
Let m = 773 + -768. Solve 30 = -3*k - m*g, 0 = -7*k + 2*k + 2*g - 19 for k.
-5
Let m be 1*-5*(-21)/15. Solve 2*r + 3*f = m*r - 16, 14 = 3*r - 4*f for r.
2
Let h(y) = y**3 + 4*y**2 - 6*y - 21. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
factors of ((-12)/12)/(a/(-5)).
5
Suppose 9 + 1 = -2*k. What are the prime factors of k*((-366)/(-5))/(-6)?
61
Let u(p) = -1 + 2 + 15*p - 1 - 9. List the prime factors of u(5).
2, 3, 11
Let a(k) be the second derivative of -k**5/20 + 7*k**4/12 - k**3/3 + k**2 + 20*k. Let u = 2 + 4. What are the prime factors of a(u)?
2, 13
Suppose -30*h + 29*h + 213 = 0. List the prime factors of h.
3, 71
Let y(w) = w**3 - 6*w**2 + 7. Let g be y(6). Let f(b) = -b + 13. Let s be f(g). What are the prime factors of s*8*2/12?
2
Suppose -6 = -k - 5. Suppose -r + 0 + 3 = -2*d, 5*r - k = 3*d. List the prime factors of 35 - ((r - 2) + 1).
37
Let o be 28/70*(-24 - 1). Let a = o - -13. Suppose 27 = n + a*u, 2*u - 118 = -4*n - 0*n. List the prime factors of n.
2, 3, 5
Suppose -4*w = -6*w - 3*a + 4, 5*w - 4*a = -36. Let f = 476 - 477. What are the prime factors of (0 - (f - w)) + 64?
61
Let g be -4 - ((-1)/(-1) + 1). What are the prime factors of 165/(-2)*g/9?
5, 11
Suppose -4*z = -z + 2*g - 285, z - 78 = 5*g. List the prime factors of z.
3, 31
What are the prime factors of (-11 + 24)/((-1)/(-51))?
3, 13, 17
Let n = -603 - -1845. List the prime factors of n.
2, 3, 23
Let r(y) = 149*y**2 + 9*y - 10. What are the prime factors of r(2)?
2, 151
Suppose 5*i + s - 3*s = 8113, s = -2*i + 3247. What are the prime factors of i?
3, 541
Suppose 3*c + 4*r = 7 - 1, 2*c - 27 = 5*r. Suppose -4*d = -d - c. Suppose -2*f + 24 = d*f. List the prime factors of f.
2, 3
Let q = 6 + -4. Let w(b) = -b**3 - 2*b**2 - b + 3*b**2 + 10 + 0*b**q. What are the prime factors of w(0)?
2, 5
Suppose -4*x + 2*i = -4, 3*x - 2*i - 4 = -2*x. Suppose x = 4*k - v - 208, 3*k + 5*v - 73 = 83. List the prime factors of k.
2, 13
Let d(g) = -g**2 - 24*g + 11. Let m be d(-9). Suppose 5*f = 3*k - m, k - 5*f + f = 44. What are the prime factors of k?
2, 13
Let j be (-2)/(-5) + 52/20. List the prime factors of 1/(j/7)*15.
5, 7
Suppose z - 1458 = 2*x, 1463 = z - 7*x + 6*x. What are the prime factors of z?
2, 367
Suppose 0 = 2*x - c - 475, 0 = 4*x + 2*c - 485 - 485. Let n = x - 166. List the prime factors of n.
2, 37
Let b(a) = -377*a - 2. List the prime factors of b(-1).
3, 5
What are the prime factors of -1 + 6 + 489 + 4/(-1)?
2, 5, 7
Suppose -24 - 124 = 4*o. Let m = o + 28. List the prime factors of (30/m)/(1/(-12)).
2, 5
Suppose 0 = -7*d + 3*d - 896. Let m = -49 - d. What are the prime factors of m?
5, 7
Let r be 4/8*8 - 2. Suppose w + 42 = r*w. Suppose -4*q - w + 186 = 0. List the prime factors of q.
2, 3
Let t = -8 + 330. What are the prime factors of 1 + t + (-4)/(3 - 4)?
3, 109
Let x = 9 - 17. Let f be x/12*3 - -4. Suppose a + 4 = f*a. What are the prime factors of a?
2
Let t be 1 + 9/(18/8). Let g(n) = t*n + 42 - 42 - 14*n. What are the prime factors of g(-3)?
3
Let t(v) = -6*v - 3. Let g = -30 - -16. Let s = g - -11. List the prime factors of t(s).
3, 5
Let m(z) = 2*z + 37. Let x be m(-16). What are the prime factors of (x/2)/5*-2 + 197?
2, 7
Let p(k) = 1. Let d(j) = -6*j + 3. Let w = -18 + 16. Let y(g) = w*p(g) + d(g). What are the prime factors of y(-4)?
5
Let y(k) = 3*k**2 + 44*k + 254. List the prime factors of y(-28).
2, 3, 229
Let k = -232 - -398. List the prime factors of k.
2, 83
Let r be (-9)/(-2)*(14 + -4). Let m = r + -15. What are the prime factors of m?
2, 3, 5
Suppose 5*q = 3*q + 28. Let a(j) = 8 + 15*j + 12 - q*j + j**2. What are the prime factors of a(0)?
2, 5
Suppose -20*c + 11*c = -18. Suppose -c*p + p + 266 = 0. List the prime factors of p.
2, 7, 19
Suppose -w = 2*h - 3, 0*w - 2*h = 4*w. Let c(u) = 53*u**2 - 6*u - 6. List the prime factors of c(w).
53
Suppose -8*o = 3454 - 18878. List the prime factors of o.
2, 241
List the prime factors of ((-961)/(-5))/(11/55).
31
Let x(z) = 46*z - 16. List the prime factors of x(11).
2, 5, 7
Suppose 7*f - 11*f = -k + 304, -5*k - 2*f = -1410. What are the prime factors of k?
2, 71
Let j(s) = -s**3 + 16*s**2 - 2*s + 24. Let m be j(16). What are the prime factors of (179 - -1) + (-6 - 72/m)?
3, 61
Let h = -217 - -593. What are the prime factors of h?
2, 47
Let p be (3 + -2)/(15/105). What are the prime factors of 6/42 - 15/p - -16?
2, 7
Suppose 0 = -18*g + 14*g + 12. Let o be (g - 5) + 145*1. Let a = -91 + o. What are the prime factors of a?
2, 13
Let c = 11 + -24. Let w = -6 - c. What are the prime factors of w?
7
Suppose -k = -w + 6*w + 72, 0 = -k + 5*w - 92. Let h = k + 157. List the prime factors of h.
3, 5
Let p(v) = 94*v + 22. Let a(c) = 31*c + 7. Let d(q) = 17*a(q) - 6*p(q). List the prime factors of d(-4).
3, 5
Let g(a) = 6*a + 128. What are the prime factors of g(13)?
2, 103
Suppose -4*o + 389 = -5*p, -3*o + 0*p + 4*p = -292. Suppose 3*z - o = -y - 36, -2*z + 2*y + 32 = 0. What are the prime factors of z?
19
Let u(t) = 2*t**2 - 25*t - 31. List the prime factors of u(36).
11, 151
Let w = 410 + -610. Let v = w - -434. Suppose 5*s - 375 = -q, -3*s + 3*q + 9 + v = 0. List the prime factors of s.
2, 19
List the prime factors of 2/(-29) + 2123450/1015.
2, 523
Let y(f) = 2*f**2 + f + 2. Let s(x) = -x**2 - 7*x - 6. Let b be s(-4). Let n = b + -4. What are the prime factors of y(n)?
2, 3
Let g(q) = 239*q - 692. List the prime factors of g(18).
2, 5, 19
Let p = 29 + -25. Let x be (0 - -1) + -3 + p. Suppose -g + 5*h - 18 = -x*g, 9 = g + 2*h. What are the prime factors of g?
3
Suppose 5*v + 85 = -5*y, -5*v + 3*y = 116 - 7. List the prime factors of v/10*(-6)/4.
3
Suppose -46*g + 93880 = -23052. List the prime factors of g.
2, 31, 41
Let n be -5 + (-5)/(-5) - 4. Let w = 50 - n. List the prime factors of w.
2, 29
Let t = -61 + 66. Suppose 0 = t*g + 3*s - 373, 2*s - s - 149 = -2*g. What are the prime factors of g?
2, 37
Let l(t) be the second derivative of 9/2*t**2 + 0 + 1/6*t**3 + 8*t. List the prime factors of l(-6).
3
List the prime factors of ((-3414)/10 - 3/5)*-6.
2, 3, 19
Suppose 0 = 4*f - 2 + 18. Let a = f - -50. List the prime factors of a.
2, 23
Let f(w) = -w**3 + 5*w**2 - 3*w + 1. Let q be 2/(-4) - (-14)/4. Let a be f(q). List the prime factors of 15/a - 204/(-8).
3
Let z(f) = 121*f**2 + 16*f - 15. List the prime factors of z(1).
2, 61
List the prime factors of (-12 + 8 - 1986/2)*-1.
997
Suppose 107*b = 130*b - 31901. List the prime factors of b.
19, 73
Suppose -26*f + 1985 = -82541. List the prime factors of f.
3251
Suppose -u - 4*l = -63, -6*u + l + 231 = -u. List the prime factors of u.
47
Suppose 0 = 4*v - 20 - 0. Let b(h) = 2*h**2 + 8*h - 3. List the prime factors of b(v).
3, 29
What are the prime factors of 14*33 + (-9 + 0 - -2)?
5, 7, 13
Suppose 2590 = p - 5*z, -p - 4*z + 0*z + 2617 = 0. What are the prime factors of p?
5, 521
Suppose -t - 5*l + 2636 = 0, 0 = -215*t + 219*t + 2*l - 10472. List the prime factors of t.
2, 3, 109
Let n(h) = 8*h - 1. Let s = -21 - -15. Let q(a) = 7*a - 2. Let m(c) = s*q(c) + 5*n(c). What are the prime factors of m(-5)?
17
Let k = -9 + 11. Let r(q) = 2 - 6*q**3 + 42*q**k + q - 3 - 41*q**2. What are the prime factors of r(-2)?
7
What are the prime factors of 2/((-4)/(-4))*336?
2, 3, 7
Let c(x) = 4*x - 9. Let k be c(0). Let a(i) = -i**3 - 8*i**2 - 5*i - 11. List the prime factors of a(k).
5, 23
Let x(a) be the third derivative of -5*a**4/12 - 2*a**3/3 - 7*a**2. Let t be x(-3). List the prime factors of (-5)/(-10) - t/(-4).
7
Let g(q) be the first derivative of 2*q**3/3 + 11*q - 3. Let b(l) = 3*l**2 + l + 21. Let o(d) = -3*b(d) + 5*g(d). List the prime factors of o(-6).
2, 23
Suppose -2*l = -3*o - 812, 2*o - 812 = -6*l + 4*l. What are the prime factors of l?
2, 7, 29
Let t(g) = g**3 - 2*g**2 - 4*g + 3. Let c be t(2). Let d be -3 - c/((-10)/(-48)). Suppose 39 + d = 5*f. What are the prime factors of f?
2, 3
Let t be -10*(51/12*2 - -1). Let y = t + 278. List the prime factors of y.
3, 61
Let x = 340 + 1029. What are the prime factors of x?
37
Suppose 922 = 3*j - f, -1425 = -5*j - 3*f + 121. What are the prime factors of j?
2, 7, 11
Let t(l) = 2*l + 36. Let b be t(0). Let u = b + 2. List the prime factors of u.
2, 19
Let f(c) = 3*c - 6*c + 9*c + 6 + 3*c. Let g(w) = -17*w - 11. Let i(k) = -7*f(k) - 4*g(k). List the prime factors of i(7).
37
Suppose -106*a + 114*a - 8064 = 0. List the prime factors of a.
2, 3, 7
Let n = -34 - -26. Let t = 16 + n. List the prime factors of t.
2
Let s(k) = -k**3 + 15*k**2 + 16*k - 24. Let a b
|
{
"pile_set_name": "DM Mathematics"
}
|
r/(1/(-64000)*-2). Round f to the nearest 1000000.
-4000000
Let u = -9.3 - 66.7. Let x = 106873506.999947 + -106873431. Let s = x + u. Round s to five decimal places.
-0.00005
Let v = 1299136 + -246636. What is v rounded to the nearest 100000?
1100000
Let y = 0.005 - -57.345. Round y to the nearest 10.
60
Let p = 6.028 + -6.65. Let o = -0.61602 - p. Round o to three decimal places.
0.006
Let a(y) = -2*y**3 + y**2. Let u(n) = 7*n**3 - 16*n**2 - 9*n. Let c(m) = 4*a(m) + u(m). Let s be c(-4). Round s to the nearest 10.
-90
Let m = 1 - 0.85. Let f = m + 0.106. Let w = 0.2560226 - f. What is w rounded to 6 dps?
0.000023
Let h = -372.553 + 372.5. Let y = -1209.0541 - -1209. Let c = h - y. What is c rounded to 3 decimal places?
0.001
Let z = -2771 - -2771.0079075. Round z to three dps.
0.008
Let a = -267.4016068 + 267.4. What is a rounded to four dps?
-0.0016
Let s = 3026 - 3068.925. Let c = 1639 - 1596. Let p = s + c. Round p to 2 dps.
0.08
Let p(o) = -649474*o**3 - 6. Let x be p(-2). Let m = -8085786 + x. What is m rounded to the nearest 1000000?
-3000000
Let u = -19.312 - -13.617. Round u to the nearest 10.
-10
Let j = -1093375 + 1698885. What is j rounded to the nearest one hundred thousand?
600000
Let d = 5416.46082131 + -5154.560822449. Let j = d + -261.9. What is j rounded to 7 dps?
-0.0000011
Let d = -1.52355406 + 5.52355397. Let m = 3.9081 + 0.0919. Let o = d - m. Round o to 7 decimal places.
-0.0000001
Let x(i) = -3*i**3 + 6*i**2 + 4*i + 14. Let h be x(-6). Let t be (-16)/(-56)*-300*h. What is t rounded to the nearest ten thousand?
-70000
Let c = -52.093926 - 0.887774. Let a = -53 - c. What is a rounded to 3 decimal places?
-0.018
Let m = -1660.01 + 1693.2486. Round m to 1 decimal place.
33.2
Let i = 18119 - 11576. Round i to the nearest one thousand.
7000
Let v = -45.3 - 9.7. Let u = 53.87 + v. Let o = -10.67 + u. Round o to the nearest ten.
-10
Suppose -2*a + a + 857 = 0. Suppose -2*o - 91 = p - 677, a = 3*o - 4*p. Let c be (-2)/3*(o + -15). Round c to the nearest ten.
-180
Let c = 0.2344 + 110.7656. Let s = 1019.7 - 1122. Let z = s + c. What is z rounded to the nearest integer?
9
Let p = 10.0224 + -13.11. Let j = 2.45682 + p. Let n = -0.63 - j. Round n to four dps.
0.0008
Let q = 7143 - 7142.9986308. What is q rounded to 5 decimal places?
0.00137
Let i(d) = -d**2 + 5*d + 8. Let p be i(7). Suppose -f + 0*f - 8 = 5*g, f = -2*g - 8. Let r be p/f*(-20 - -8)*-1. Round r to the nearest 10.
10
Let s = 43910.0116136 - 43910. What is s rounded to four dps?
0.0116
Let y = 0.0116394164 - 0.01164. What is y rounded to seven decimal places?
-0.0000006
Let w = -9185914 + -8858086. Round w to the nearest 100000.
-18000000
Suppose 191*c - 1218224705 = 3090735295. What is c rounded to the nearest 1000000?
23000000
Let n = -35587.59 - -35710. Round n to the nearest one hundred.
100
Let s = 28717 + -28716.58866. What is s rounded to 1 dp?
0.4
Let g = -217890191 - -152660191. What is g rounded to the nearest 1000000?
-65000000
Let l = -0.8795 - -66.6095. Let i = 72.1 - 6.1. Let f = i - l. Round f to one dp.
0.3
Let t be -1 + 0 + (3 - -1). Suppose -t*w + 24 = 3*w. Suppose w*m + 56000 = c, -m + 2*c - 14000 = -c. Round m to the nearest 10000.
-10000
Let l = -7440.2 + 7511.302. Let n = 70.872 + 0.128. Let q = l - n. What is q rounded to two decimal places?
0.1
Let w = 48.133 - 48. Let q = 0.215 - w. Round q to 1 dp.
0.1
Let r = 34955 - 34952.6569. Round r to one decimal place.
2.3
Let n(s) be the first derivative of s**3/3 + 5*s**2/2 + 10*s + 24. Let m be n(-11). Suppose m*g = 72*g - 91600. What is g rounded to the nearest 1000?
-23000
Let r = 597.7194 + -602.6894831. Let q = -4.97 - r. Round q to five dps.
0.00008
Suppose -7*n = -14*n + 49. Let p be (-540)/(-42)*n/1. Suppose 2*l - 460 = 4*m, -p = -2*l + m + 355. What is l rounded to the nearest 10?
220
Let s = 417 - 418.362. Let d = s - -0.82. Round d to one dp.
-0.5
Suppose -4*x - 376 = s + 307, x - 5*s + 197 = 0. Let y = -208 - x. What is y rounded to the nearest one hundred?
0
Suppose -113*h + 22*h = 8*h - 5662800. What is h rounded to the nearest 100000?
100000
Let c = -12386.38392232 + 12896.38392. Let a = -510 + c. Round a to 7 decimal places.
-0.0000023
Let c = 5389.993622 - 5390. What is c rounded to 4 dps?
-0.0064
Let a = -97908.3 + 97948.8601. Let w = a - 0.0601. Round w to the nearest ten.
40
Let d = -0.07618 + -215.52382. What is d rounded to the nearest 10?
-220
Let f = -11249 - -17689. Let a = f + 5320. Round a to the nearest 1000.
12000
Let q = 0.8 - 0.66. Let c = q - -1.86. Let o = -1.298 + c. What is o rounded to 1 decimal place?
0.7
Suppose -4*q + 26941602 = j, 25*q - 28*q + 20206210 = 5*j. Round q to the nearest 10000.
6740000
Let h = 59.963 + -60. Let m = 0.019 - h. Let x = -0.586 - m. What is x rounded to two decimal places?
-0.64
Let u = -35826.024203 + 35826. What is u rounded to four dps?
-0.0242
Let z = 14646.00247168 + -14646. What is z rounded to four decimal places?
0.0025
Let c = 3720.06 - 3660. Round c to the nearest integer.
60
Let r be 2/5 + (-378782505)/75. Let b = r - -2870427. Let q be 2 - 4 - (4 + b). Round q to the nearest one hundred thousand.
2200000
Suppose -21*h = 8*h + 812. Let l be (5250/h)/(3/44 - 0). Round l to the nearest 100.
-2800
Let k = -27.37917 - -27.496. What is k rounded to 2 dps?
0.12
Let d = 2.102691 + -0.022991. Round d to 0 dps.
2
Suppose 2*b + 4*f = 10, 0 = -5*b + 2*f - 0*f + 13. Let k(r) = 5*r**2 - 727*r**b - 2 - 225*r**3 - 6. Let l be k(-4). Round l to the nearest ten thousand.
60000
Let r = 3864.974 + 3.026. Let h = r - 3867.98187. What is h rounded to 3 decimal places?
0.018
Suppose -2*k = -4*l - 23308, 2*k = -18*l + 13*l - 29135. Round l to the nearest 1000.
-6000
Let g = 7.08 + -5.7. Let j = 0.0454 + 17.7346. Let h = j - g. What is h rounded to the nearest integer?
16
Let b = -2973 - -2972.98708. Round b to three dps.
-0.013
Let r be 1/4 + 15/4. Suppose 3*g = -d + 3233359, g = -r*d - 0*g + 12933447. Suppose -9646638 = -4*h + d. Round h to the nearest one hundred thousand.
3200000
Suppose -2*h - 75*x - 8728012 = -72*x, 3*x - 4363988 = h. Round h to the nearest one million.
-4000000
Let f = -0.41 - 46.59. Let u = -993.7803213 - -1040.78032. Let v = u + f. Round v to 7 dps.
-0.0000013
Let d(j) = j**3 + 22*j**2 - 23*j + 5. Let x be d(-23). Suppose -112195 = -o + 2*o - r, 2*o + 224425 = -x*r. What is o rounded to the nearest ten thousand?
-110000
Let g(d) = 5*d + 90. Let w be g(-17). Suppose h - 6*h + 5*l = 56565, -3*l = -w*h - 56559. What is h rounded to the nearest one thousand?
-11000
Let i = -19028744731.00000039 + 19028744626. Let k = 105 + -210. Let h = i - k. What is h rounded to seven dps?
-0.0000004
Let y = -3452.314 - -3448. Let g = 103 - 103.156. Let l = g + y. What is l rounded to 1 decimal place?
-4.5
Let x = 47 - 119. Let u = 72.0596 + x. Round u to 2 decimal places.
0.06
Let j = 0.5649 + -0.56475927. Round j to 5 decimal places.
0.00014
Let k = -68 - -73. Suppose 5*b + 40 = -k*d, b - 5*b = -3*d + 25. Let w be (190/3)/(b/(-252)*6). Round w to the nearest one thousand.
0
Let q be 260/39*((-108)/15 + 0). Let x be 6/q + (-1800000006)/(-48). Round x to the nearest one million.
38000000
Let q = 929 + -929.00000897. Round q to seven decimal places.
-0.000009
Let j = 0.0012 - 203.0012. Let g = -213.2 - j. What is g rounded to the nearest ten?
-10
Let f be ((-2500)/(-8))/((-1)/(-226176)). Suppose 0 = 11*p + 20*p - f. Round p to the nearest one million.
2000000
Let k be (134000 - -5)*51/5. Suppose -93149 - k = f + w, -w = 0. Round f to the nearest 1000000.
-1000000
Let b = 20.36 + -37.9. Let h = b - -17.3162. Round h to 2 decimal places.
-0.22
Let c = 46193.49988 + -46141.5. Let q = -51.01 - 0.99. Let n = q + c. Round n to 4 decimal places.
-0.0001
Let h = 331.5278 - 317.517221. Let f = -1409 - -1423.01. Let s = f - h. What is s rounded to four dps?
-0.0006
Let y = -26.7 + 26.643. Let a = 0.0477 + y. Round a to three decimal places.
-0.009
Let d = -0.3775 + -0.0305. Let w = d - -0.837. Round w to the nearest integer.
0
Let f = -37808.66769 + 37809. Round f to two decimal places.
0.33
Let s = 0.13907 - 0.106925. What is s rounded to 3 decimal places?
0.032
Let z = 8.15 + -6.495. Let k = 1 + z. What is k rounded to 1 decimal place?
2.7
Let x b
|
{
"pile_set_name": "DM Mathematics"
}
|
Let g = -160/7 - -12626/553. Which is smaller: f or g?
g
Let s(m) = -m**3 + 4*m**2 - 5*m - 1. Let v be s(4). Suppose -6*d = -4*d - q + 42, -d - 5*q - 10 = 0. Which is smaller: d or v?
v
Let c = 2 + 9. Let r = c + -17. Let w = r + 1. Which is smaller: w or 2/3?
w
Let c(v) = -v**3 - 15*v**2 + 15*v - 20. Let q be (-24)/9*(0 + 6). Let a be c(q). Is -6 greater than a?
False
Let v(u) = -4*u - 3. Let s(k) = -k**2 - k - 1. Let y(m) = -s(m) - v(m). Let p be y(-4). Let x be (22/99)/(1/2). Is p not equal to x?
True
Suppose 0 = 2*z - 4*u - 44, -4*z + 5*u + 6 = -5*z. Let v = -15 + z. Do -2/35 and v have the same value?
False
Let d be (-2364)/8*((-2)/3)/1. Let v = -405/2 + d. Which is smaller: v or -7?
-7
Let j be (-245)/9 - (-18)/81. Let v = j + 57. Let b be ((-4)/(-1))/((-140)/v). Which is bigger: 0 or b?
0
Let x = 4 + 4. Let v(b) = 4*b - 31. Let l be v(x). Which is bigger: l or -2/57?
l
Suppose -3*m + 15 = -4*l - 7, -m + 4*l = -18. Suppose -4*a = -3*a - 3, -m*n + 5*a = -3. Let o be -1 + 11*(2 + -1). Which is greater: n or o?
o
Let u be 81/(-50) - 129/(-86). Is u != -1?
True
Let c = -2971/8 + 370. Let w be 511/560 + (-6)/(-15). Let g = w + c. Are g and 0 unequal?
True
Let i = 1753 - 1613. Are 139 and i equal?
False
Let l be (-71)/(-102) - 2/3. Let j(s) be the third derivative of -s**5/30 + s**4/24 + 18*s**2. Let r be j(0). Does l = r?
False
Let c = -1723 - -1635. Is c greater than or equal to 2?
False
Let i = -44 + 42. Let n be 2 - 0 - (5 + -4). Which is greater: i or n?
n
Let m = -135 + 131. Are 0.02 and m nonequal?
True
Let u = -59639/2 - -29160. Which is smaller: -660 or u?
-660
Let b = -4/47 + 130/423. Let y be ((-3)/(-5))/((-9)/(-45)). Suppose -y*t = t + 4. Is b at least t?
True
Let j = 87.5 + -83.5. Which is bigger: j or -0.21?
j
Let f(v) = -v**3 + v**2 + 2*v + 110. Let n be f(0). Which is bigger: n or 329/3?
n
Let q(k) = -k**2 - 8*k - 7. Let f be q(-7). Let x be (1 - (-31)/(-25))/((-10)/(-50)). Which is smaller: f or x?
x
Suppose -5*r = 5*t + 5 - 10, -3*t - 4*r = -3. Is t at least as big as 3/617?
True
Let h be 1214/(-3606) + -5*(-3)/45. Do 0 and h have the same value?
False
Let q = -6 + 33. Let p = 27 - q. Which is smaller: 2/33 or p?
p
Suppose 0 = -4*k + 5*z - 1, 5*k - 7*z + 2*z = 0. Are 113 and k equal?
False
Let m(g) = 52*g - 417. Let u be m(8). Which is smaller: u or -3/416?
u
Suppose 117*z + 3652 = 50452. Which is greater: z or 402?
402
Let u(f) = f**2 + 3*f + 1. Let i be u(-1). Let h = 366.88 + -367. Which is greater: h or i?
h
Let k = -41.47 - -38.5. Let y = -0.03 + k. Let m = y + 2. Is m < -0.06?
True
Let d(o) = o**3 - 15*o**2 + 19*o - 6. Let a be d(14). Let z = 65 - a. Let j be (-2)/(-6)*(-2)/2. Is j != z?
True
Suppose 0 = -7*c + 9*c. Let b = 0.08 + -2.58. Let p = -4 - b. Which is smaller: p or c?
p
Suppose 0 = 5*d + c - 65, d + c - 51 = -3*d. Suppose d*m = 12*m - 4. Let g be m/(-6)*(-6)/17. Is 0 >= g?
True
Suppose 0*u = u + 6. Let c = 7 + u. Let f be (-13)/(-28) - ((-36)/16)/(-3). Which is smaller: c or f?
f
Let s = -75.6 + 9.6. Let q = 71.9 + s. Let j = 0.1 + q. Is 1/4 smaller than j?
True
Suppose 0 = 11*k - 10*k. Suppose 5*f + 0*f + 5 = k. Let h(u) = -u**3 + 6*u**2 - 4*u - 6. Let v be h(5). Does v = f?
True
Let x = -1162/285 - -134/95. Suppose v = -m + 1, -4*v + 0 = -m - 9. Let r be (1 + -1*v)*4. Is r at least as big as x?
False
Let z = -30.8 + 30. Let c = z - 1.2. Which is greater: 1 or c?
1
Let g = -52 + 52. Are -4/3 and g nonequal?
True
Suppose 0 = 5*c + k + 12, 0 = 2*c - 2*k + 3*k + 3. Let j = c + 7. Suppose 0 = 4*u + 5*g + 16, 5*u - 6*g + 20 = -j*g. Are u and 0 equal?
False
Let z = 3 - 6. Let u = z - -19. Let y = u - 15. Which is greater: 3 or y?
3
Suppose 130*o - 134*o - 140 = 0. Is -4 > o?
True
Let u(s) = -16*s - 9. Let t be u(-4). Let n be 71/(-5) - (-11)/t. Which is smaller: -13 or n?
n
Let y(d) be the second derivative of -d**5/20 - d**4/2 - d**2 + d. Let f be y(-6). Let j = f + 2. Which is bigger: j or -1/4?
j
Let u = -1 + 2. Suppose 2*m + 6 = 0, 5*i + 68 = -m + 5. Let h be (i/(-15) + 1)*5. Is h greater than u?
True
Let i = -7.2 + -0.8. Let k = i + 7. Which is smaller: k or -17?
-17
Let w = -0.0505 - -0.0251. Is w at least as big as -1/3?
True
Let q = -0.118 + -26.834. Let y = -27 - q. Which is smaller: y or -1?
-1
Let f(x) = x - 12. Let v be f(5). Suppose -4*u - 21 = -5. Is v != u?
True
Let p be 2/10*(-803 - -1). Let f = p + 161. Which is bigger: 1 or f?
1
Let a(b) = b**2 - 7*b + 5. Let h be a(6). Let y be (-2)/(-1 + -1) + 51. Let n = y + -53. Is n greater than h?
False
Let v be (-10 - -6)/(-1) + 2858/(-715). Is v smaller than 0?
False
Let c be (-237)/(-9) + (-4)/8. Is c <= 25?
False
Let u be (20/35)/(2/4). Which is bigger: u or 1?
u
Suppose 114 = -4*o - 2*n, -3*o - o - 116 = 4*n. Which is smaller: -3/4 or o?
o
Suppose -3*s = s - 340. Suppose -6*j - s = -11*j. Suppose -20 = 4*z + 4*t, -2*t - j = 4*z + t. Which is smaller: z or 1?
z
Suppose 3*b + 27585 = 4*x, 44357 - 16771 = 4*x - 2*b. Let r = -75809/11 + x. Is r < 6?
True
Let h = -225 + 236.9. Let q = -11 + h. Let p = 46 - 46.1. Do p and q have different values?
True
Suppose 0 + 1 = o. Let k be o - (-2)/(-2) - -1. Let i be -32 + 35 + (-198)/63. Which is bigger: i or k?
k
Let u = 1 - 6. Suppose 3*g + 13 = 10. Let n be -1 - (g - (u - -2)). Which is greater: 2 or n?
2
Let j be (1 - 4)/(6/(-4)). Let g = -5 + 9. Suppose g*q = 3*q - 2, q - 6 = -4*d. Is j at least d?
True
Let y = 21155/1648387 + 3/5513. Is y <= -1?
False
Let a be 0 - -3 - (2 - 1). Let l be (-3)/12*(1 - a). Suppose q + 7*r = 4*r - 9, 5*q + 5*r + 15 = 0. Are l and q equal?
False
Let h(d) = -4*d**2 + 16*d - 29. Let x be h(6). Which is bigger: x or -615/8?
-615/8
Let o(i) = i**3 - 13*i**2 - 14*i - 1. Let j be o(14). Let v(r) = 2*r**3 - r**2 - 3*r - 3. Let h be v(j). Which is smaller: h or -2?
h
Let p = 96.9 + -96. Let n = p + -0.8. Is -47 at least n?
False
Let m = -39 + 116/3. Let u be ((-8)/(-46))/(2 - 12). Let w = u + 5/23. Is w smaller than m?
False
Let d be 15*(-5 - 11/((-220)/636)). Is 403 equal to d?
False
Let n be -2 + 6 + (-5)/10*-4. Is n smaller than 44/7?
True
Let o be (-1847)/1164 + (-12)/18. Let j = -174/37 - -50597/10767. Let b = j - o. Which is smaller: b or 2?
2
Let g be ((-6)/132)/(1/1). Is 1 less than or equal to g?
False
Suppose -21 + 9 = -2*l - x, 28 = 2*l + 5*x. Suppose -k = 24 - 24. Suppose k = -l*p + 8 - 0. Is p greater than 0?
True
Let n = -11 + 7. Let t = 10.5 - 9.1. Is t greater than n?
True
Suppose -6 = 5*r + 4*f + 9, -r + f + 6 = 0. Let d = -1 + 1. Suppose -5*v = 4*u - 2*u - 16, d = -u + 3. Are r and v unequal?
True
Let s(m) = 12*m - 69. Let j be s(0). Let k = -47 - j. Are 23 and k unequal?
True
Let k = 0.6 - 0.3. Let j = 7 - 7.7. Let x = k - j. Is -2/7 bigger than x?
False
Suppose 14 = 11*x + 25. Which is greater: x or 37/2?
37/2
Let x = 0.179 - 40.179. Let d = 37 + 6. Let m = d + x. Which is bigger: 2/5 or m?
m
Let q = -38 + 71. Let v = 263/8 - q. Let y = v - -27/88. Which is greater: y or 1?
1
Let t = 132.3 + -131. Suppose 0*d + 5 = -5*d. Which is smaller: d or t?
d
Suppose 5125 = 68*u - 109*u. Which is smaller: u or 3?
u
Let l = 0.054 + -22.054. Let c = -30 - l. Is c at least as big as -0.2?
False
Let c be (-11580)/726 - -9 - -7. Which is smaller: c or 0?
0
Let k be 2/(5 + 1) - (-188)/48. Is k at least as big as 3?
True
Let z = 488527/24185 - -2/4837. Do z and 20 have different values?
True
Let o(y) = -2*y - 4*y + y**2 + 55 - 46. Let k be o(5). Which is bigger: k or -1?
k
Let c be 4016/200 - (3 - (-219)/(-75)). Which is smaller: c or 17?
17
Let t = 12.91 - 13. Let b = t + 5.09. Which is bigger: b or 2?
b
Let p be 848/(-14) + (351/63 - 6). Which is greater: p or -58?
-58
Suppose 2*n + 3*n + 15 = 0. Let f = 3 + n. Is -2/465 greater than or equal to f?
False
Let w = 41 + -57. Let s = w + 19. Let d be 0 + -1*(-3)/(-6). Which is bigger: d or s?
s
Let h = 959.102 - 958. Let d = -0.052 + h. Let x = d + -1. Which is greater: x or 1?
1
Suppose 2*w = 4*o + 1 + 11, -3*w + 3*o = -6. Let l be 5 + 4/w + -4. Let k be l/(-4) - (-42)/(-8). Is -5 smaller than k?
False
Suppose 45*g + 11480 = 4*g. Which is greater: g or -279?
-279
Let w = 3 + -54. Let x = 56 + w. Is x <= 6?
True
Let c = 463 - 477.07. Let s = c + 14. Let t = -0.05 - s. Which is smaller: 0 or t?
0
Let w = -1365 - -4025/3. Which is greate
|
{
"pile_set_name": "DM Mathematics"
}
|
/7)
Simplify v**12/v**(-5/6)*(v*v/v**3*v*v)/(v**(6/7)/v) assuming v is positive.
v**(587/42)
Simplify (((x/(x**(2/11)/x*x*x))/x*x)**(-39)*x**(-4/7)/(x**(-4)/x))**32 assuming x is positive.
x**(28384/77)
Simplify z**3*z/((z/z**(-2/9))/z)*(z**(-3/7)*z*z*z)**(-47) assuming z is positive.
z**(-7376/63)
Simplify ((t/(t**(1/4)/t*t))/t)**(-1/7)*(t/t**(2/3))**(-47) assuming t is positive.
t**(-1313/84)
Simplify ((p*p**(-1/6))/p*(p*p**(2/19)*p)/p*((p*((p/(p*p**1))/p)/p)/p*p)**(-23))**(-17) assuming p is positive.
p**(-90967/114)
Simplify (b**(-15)*b)/b**14*(b*b**(1/16)*b)/(b*b**(2/13)) assuming b is positive.
b**(-5635/208)
Simplify ((p*p**1)**(-5/11)/(p*p*p**(-1/4)/p*p)**(-28))**35 assuming p is positive.
p**(18515/11)
Simplify (m/(m**1*m*m))**(-2)/(m/((m**(1/2)*m)/m))**(-2/57) assuming m is positive.
m**(229/57)
Simplify (s**1)**(7/2)/(s**(-1)/s)**(4/21) assuming s is positive.
s**(163/42)
Simplify ((x/x**(-6))/x)/x*x**(-2/23)*x*x**(2/17)/x*x/(x/x**12*x*x) assuming x is positive.
x**(5877/391)
Simplify (g**(2/15)/(g/(g**(-6/11)/g))*g**9/(g*g**(-1)))**(-48) assuming g is positive.
g**(-17392/55)
Simplify ((u/u**(-2/3)*u/(u/(u/u**8)))/(u**(-1))**(1/16))**(30/11) assuming u is positive.
u**(-115/8)
Simplify (k**(-2)/((k/(k**(1/7)*k))/k*k)*(k/(k/(k*k**0)))**(-5))**31 assuming k is positive.
k**(-1488/7)
Simplify ((u**(2/7)*u)/u)**(4/11)*(u*u**(3/10))/(u*u**(-7)/u) assuming u is positive.
u**(6471/770)
Simplify (p**(3/4)/(p**12/p))/(((p**(-3/22)/p*p)/p)/(p*p*p*p/p**(4/7))) assuming p is positive.
p**(-1751/308)
Simplify (m/m**(-3))/(m*m**(2/29))*(m*m*(m/(m*m**(-8)*m)*m)/m)/(m*(m/m**(-8)*m)/m) assuming m is positive.
m**(56/29)
Simplify n**19*((n/(n*n/((n*n*n**(-9)*n)/n)*n))/n)/n*(n/(n**(1/9)*n))/(n**18/n) assuming n is positive.
n**(-82/9)
Simplify (((l/l**3)/(l*l**0))/(l**5/l**2))**(-1) assuming l is positive.
l**6
Simplify w**(-7)*w/w**(-1/2)*w**(-9)/(w*w**12) assuming w is positive.
w**(-55/2)
Simplify ((x/(x/(x*x**(-3/8)/x))*x**(3/14)/x)**11)**(-15) assuming x is positive.
x**(10725/56)
Simplify ((u**(4/5)*u/(u/((u**(-5)/u)/u)*u))/(u/u**2*u)**(-1/35))**(40/3) assuming u is positive.
u**(-96)
Simplify (t**(-9)*t**(-27/5)*t*t)/(t**(-1/8)/t**(-4/9)) assuming t is positive.
t**(-4579/360)
Simplify (x*x**(-2/33))**(2/43)*(x**(-6))**(15/8) assuming x is positive.
x**(-63607/5676)
Simplify s**(-2/9)*s/(s**(-2)*s)*s*(s**(-17/3)/s)**48 assuming s is positive.
s**(-2855/9)
Simplify (c**(-9)*c**15*c)**(-2/87) assuming c is positive.
c**(-14/87)
Simplify (i**(1/9))**(-21/2)*i**(-4)*i**(3/7) assuming i is positive.
i**(-199/42)
Simplify (l*l**(-17))/(l*l*(l*l/((((l*l**17/l*l)/l)/l)/l))/l*l*l)*l**(1/4)/l*(l*(((l**(-16)*l)/l)/l)/l*l)/l assuming l is positive.
l**(-95/4)
Simplify (((p**(-2/5)/p)**(-1/3))**(4/29))**(2/25) assuming p is positive.
p**(56/10875)
Simplify ((((z/(z**1/z))/z)/z*z*z)/z)**33/(z**(1/8)/(z/z**7)) assuming z is positive.
z**(-49/8)
Simplify ((f/(f*(f**(-2)*f*f)/f*f*f*f))**(-44)*(f/f**(-2/19))/f**(1/3))**(1/66) assuming f is positive.
f**(230/171)
Simplify r**(1/2)*r/r**(-18)*(r/(r/r**(-2/5)))/r*r*(r*r**6*r)/r assuming r is positive.
r**(261/10)
Simplify ((((z**0*z)/z*z)/(z/((((z*z*z/(z*z**3/z))/z)/z)/z*z)))/((z*z**(-4))/z**7))**6 assuming z is positive.
z**48
Simplify (d**3)**(-23)/(d/d**(2/9)*d/d**(-1/2)*d) assuming d is positive.
d**(-1301/18)
Simplify ((p*p/p**(-1/3))/p**(3/13))/(p*p*p**(-38)*p**(9/4)) assuming p is positive.
p**(5593/156)
Simplify ((a**(1/25))**(-40))**(5/3) assuming a is positive.
a**(-8/3)
Simplify ((h*h*h*h**(1/3)*h)**15/(h*h**2/h*h*h)**(-2/5))**40 assuming h is positive.
h**2664
Simplify (d/d**(-1/2))/((d*d**16)/d)*(d**(4/7))**26 assuming d is positive.
d**(5/14)
Simplify m**(-1/4)/m*m*((m**(-14)/m)/m)/m*m*(m/(m/m**(-7)))**(15/2) assuming m is positive.
m**(-275/4)
Simplify (w*(w/w**(-2/43))/w*w*w/(w*(w*w**(-4/3)/w)/w*w))/((w/w**(-9))/(w**(3/13)*w*w)) assuming w is positive.
w**(-7361/1677)
Simplify (((((f*f/f**(-2))/f*f)/f)/(f*f**(-1/4)))/(f**0/f*f**0))**(-8) assuming f is positive.
f**(-26)
Simplify n**(-4/9)/n*n*n**(-14)/n*n*((n/((n/(n/n**18)*n)/n))/n)/n*n*n**(-6) assuming n is positive.
n**(-346/9)
Simplify ((d*d/(d/(d*d/(d**(-2)*d))))/d)**(-44)/((d/(d*d**(-1/5)*d))/d**10) assuming d is positive.
d**(-606/5)
Simplify ((u/(u/(u**(-1/3)/u))*u/(u*u/(u/((u*u**(3/4))/u*u*u*u))))**(-3/19))**(-17/2) assuming u is positive.
u**(-1037/152)
Simplify (z/z**(-3/4))/(z**(6/5)*z)*(z*z**(-1/18))/(z/z**2) assuming z is positive.
z**(269/180)
Simplify ((h**(2/5)/h)/(h**(-28)*h))/(h**(-30)/h**(2/17)) assuming h is positive.
h**(4804/85)
Simplify (g/(g/(g/((g**(3/4)/g)/g))))**(-7/11)*g*g/(g*g*g**(-9))*g**(-3) assuming g is positive.
g**(201/44)
Simplify ((x*x**(-4/5))/x**6*(x*x*x**2/x)**(1/45))**(-46) assuming x is positive.
x**(3956/15)
Simplify (j/(j*(j**(-10/7)/j)/j)*j*((j/(j*j**(-1/6)*j))/j)/j*j)/(j**(6/11)/(j/j**1*j*j)) assuming j is positive.
j**(1871/462)
Simplify h*h*h/h**(-9)*h/(h*h*(h*h**(2/15))/h)*(h/(((h/(h**(-2)*h))/h)/h))**(-2/77) assuming h is positive.
h**(12521/1155)
Simplify (((n/(n**(-27)/n))/(n/(n*n**14*n)))**(-2))**(-14) assuming n is positive.
n**1232
Simplify d/(d*d/d**10)*d**1*((d**(1/3)*d*d)/d*d)**(10/7) assuming d is positive.
d**(40/3)
Simplify (x**1/(x/((x/(x/x**5)*x)/x)))/(x**1*x)**(-15/2) assuming x is positive.
x**20
Simplify ((t/(t*t**19*t))/t*(t*t**(-11/2)*t)/t)/(t/t**(-15))**(-1) assuming t is positive.
t**(-19/2)
Simplify (s**(12/11)/s*s)**(-12/7)*s/(s*s*s**(-7)*s)*(s*s**(-12))/s assuming s is positive.
s**(-683/77)
Simplify (o**(-7/8)/(o/(o*o**23)))**(-2) assuming o is positive.
o**(-177/4)
Simplify (f*f**(-1/8)*f/f**3)/((f/f**(-10)*f)/(f/(f**8*f))) assuming f is positive.
f**(-169/8)
Simplify ((m/(((m*m/((m**(-5)/m)/m*m)*m)/m)/m)*(m**(-2/7)*m)/m)/(m**0*m)**(-1/11))**(-16) assuming m is positive.
m**(7632/77)
Simplify (k**(1/5))**(-22)/(k**7/k**(1/3)) assuming k is positive.
k**(-166/15)
Simplify c/(c*c**(-9)*c*c)*c*c/c**(-1/34)*c*(c*c**(-16))**18 assuming c is positive.
c**(-8839/34)
Simplify ((c/c**10)/((c*c**(1/6))/c)*(c**(-2/5))**24)**(-13/5) assuming c is positive.
c**(7319/150)
Simplify b**5*b/(b**(-1/3)/b)*(b/(b*b**(2/5)/b))**(-1/27) assuming b is positive.
b**(329/45)
Simplify i*i**3/i*i**(-6)*(i/(i/(i*i**(-4)))*i)/((i**(-2/39)*i*i)/i) assuming i is positive.
i**(-232/39)
Simplify v/(v**(7/5)*v)*v*v**(1/5)/v*v*v**(1/5)*v*v*v*v*v**9 assuming v is positive.
v**13
Simplify (v**(10/9)*v)/v*v*v*v/(v/v**(-31)*v*v*v)*((v/v**(2/77))/v)/v*v**(8/13) assuming v is positive.
v**(-281977/9009)
Simplify ((j/j**(-4/3))**(-49))**(13/8) assuming j is positive.
j**(-4459/24)
Simplify o*o*o**12/o*o*o**26*(o**(1/9))**(-1/57) assuming o is positive.
o**(20519/513)
Simplify (w**(-2))**(9/7)/(w*w*w**(2/21)/w)**(-7/11) assuming w is positive.
w**(-433/231)
Simplify ((z**3/z*z*z*z**(-5/7))**27)**(-16/3) assuming z is positive.
z**(-3312/7)
Simplify j**(2/5)/(j/j**(-1/17))*j**(-1/4)*j**(-2/13) assuming j is positive.
j**(-4697/4420)
Simplify (b*b/(b/(b**(-5/2)/b))*b/b**(-22))/(b/(b*b/b**(-1/16))*((b*(b*b**(-16/3))/b*b)/b*b)/b) assuming b is positive.
b**(1243/48)
Simplify (((d/(d*d/(d/((d**(-2/7)/d)/d))*d))**(-29))**45)**(-2/3) assuming d is positive.
d**(7830/7)
Simplify ((g**(1/29)*g)/g*g)/(g*(g/(g**7/g))/g)*(g*(g/(g/(g/g**(-5/2))))/g)/(g*g**(-8/7)) assuming g is positive.
g**(3929/406)
Simplify (d*d/d**(-1/11))/d**(1/4)*d**(-4)*d*d**(1/7)*d assuming d is positive.
d**(-5/308)
Simplify (((q**(2/5)*q)/q**(6/13))**4)**11 assuming q is positive.
q**(2684/65)
Simplify (a**(1/5))**(-3/22)/(a**(2/7)/(a*a/(a*a**(1/26)))) assuming a is positive.
a**(3246/5005)
Simplify (o*o**(4/5))**(-3/26)*(o**(-5))**(3/13) assuming o is positive.
o**(-177/130)
Simplify (((v**(-1/6))**(-4/13))**28)**(-4/11) assuming v is positive.
v**(-224/429)
Simplify ((k**(-2)/k*k*k*k**(2/3))/((k/(k/(k/(k/k**(-2/3)))))/k**(-5)))**(38/3) assuming k is positive.
k**(-532/9)
Simplify (x**(-1/2)/x)/(x/x**(-1)*x)*x**(2/11)/x**(1/4) assuming x is positive.
x**(-201/44)
Simplify d**6/((d*d*((d**24/d)/d)/d*d)/d*d*d)*(d/d**(3/17))/d**(-14) assuming d is positive.
d**(-71/17)
Simplify x/(x/(x*x**8/x))*x**(-1/3)*x**(-1/6)*(x**(-2/5)*x)/x assuming x is positive.
x**(71/10)
Simplify ((w/(w/(((w/w**10)/w)/w*w)))**(-2/21))**(-23) assuming w is positive.
w**(-460/
|
{
"pile_set_name": "DM Mathematics"
}
|
w(h) = m*s(h) - 8*c(h). Find the first derivative of w(v) wrt v.
-9*v**2
Let d(u) be the first derivative of -5*u**9/504 + 2*u**5/15 + 3*u**2 + 7. Let b(v) be the second derivative of d(v). Find the third derivative of b(p) wrt p.
-600*p**3
Let x(y) = -22*y**3 + 9*y**2 + 20. Let q(t) = -11*t**3 + 4*t**2 + 10. Let c(u) = -9*q(u) + 4*x(u). Differentiate c(b) with respect to b.
33*b**2
Let r(a) be the second derivative of -a**7/70 + a**5/30 - a**2 + 3*a. Let y(b) be the first derivative of r(b). What is the third derivative of y(d) wrt d?
-72*d
Let l(d) = 10*d**3 + 17*d**2 + 6. Let p(y) = -y**3 + 1. Let i(u) = -l(u) + 6*p(u). Find the third derivative of i(s) wrt s.
-96
Find the first derivative of -7 + 15 + 5 - 3*x**2 wrt x.
-6*x
Suppose -d = -4*p + 13, -4 + 3 = p + 4*d. Differentiate -2*b**3 - 2*b**p + b**3 + 2 + 1 wrt b.
-9*b**2
Suppose 1 = -p + 3. Differentiate p - 2 - 2*f**2 - 2 wrt f.
-4*f
Let s(b) be the first derivative of -2*b**4 - 2*b**2 + 6. Find the second derivative of s(k) wrt k.
-48*k
Let t(r) be the first derivative of -23*r**4/4 - 27*r - 7. Differentiate t(d) wrt d.
-69*d**2
What is the second derivative of v**4 - 433*v**2 + 49*v - v**3 + 433*v**2 wrt v?
12*v**2 - 6*v
Let k(v) = -6*v - 1. Let h be k(-1). Find the second derivative of -a - h*a**2 - a + 3*a**2 wrt a.
-4
Let y(g) be the second derivative of 17*g**3/3 + 23*g**2/2 + 16*g. Differentiate y(j) with respect to j.
34
Let d(m) be the first derivative of -11*m**5/5 - 7*m + 18. Differentiate d(h) wrt h.
-44*h**3
Suppose 0 = -2*d - 2*d. Suppose -x + 5*g + 24 = d, 12 = 2*x - 0*g - g. What is the second derivative of -x*i**4 + 2*i**4 + i - i**4 wrt i?
-36*i**2
Let n(s) = 6*s**2 + 11*s + 7. Let p(m) = 3 - 1 - 3*m**2 + 6*m + 6*m**2 + 2. Let o(l) = -6*n(l) + 11*p(l). What is the first derivative of o(d) wrt d?
-6*d
Let y be (-8)/10 - 56/(-20). Let g(o) be the second derivative of 3/20*o**5 + 1/3*o**4 + 0*o**3 + 0*o**2 + 0 + y*o. What is the third derivative of g(w) wrt w?
18
Let a = 13 + -10. Differentiate -5 + 0*n**a + 1 - 3*n**3 with respect to n.
-9*n**2
Let m(r) = 3*r**3 + 2*r**2 - 2*r + 1. Let z be m(1). Suppose z*p - 3 = 3*p. What is the second derivative of 2*x**2 - 2*x**2 + 0*x**p + x - x**3 wrt x?
-6*x
Let u = -107/5 + 326/15. Let b(k) be the second derivative of u*k**3 + 0 - 3/2*k**2 - 4*k. Differentiate b(d) wrt d.
2
Let r(m) = 8*m**3 - 2*m**2 + 11. Let j(p) = -p**3 + p**2 - 1. Let n(x) = -2*j(x) - r(x). Differentiate n(z) with respect to z.
-18*z**2
Let z(f) be the first derivative of f**3 + 0*f**2 + 0*f**4 + 0*f + 3 + 0*f**5 + 5/6*f**6. Find the third derivative of z(k) wrt k.
300*k**2
Let x(a) be the third derivative of -a**7/70 + a**5/15 - 53*a**3/6 + 23*a**2. Find the first derivative of x(r) wrt r.
-12*r**3 + 8*r
Let f(j) = 53*j**3 + 59*j**2. Let c(m) = 26*m**3 + 30*m**2. Let i(y) = 5*c(y) - 3*f(y). Find the third derivative of i(v) wrt v.
-174
What is the third derivative of 8*y**3 - 2*y**2 - 8*y**3 + y**5 wrt y?
60*y**2
Let k(a) = -a**6 + 13*a**2. Let n(o) = 3*o**6 - 26*o**2. Let q(l) = -13*k(l) - 6*n(l). What is the third derivative of q(s) wrt s?
-600*s**3
Let b(f) be the second derivative of 3*f**7/14 - 7*f**3/6 - f. Find the second derivative of b(t) wrt t.
180*t**3
Suppose -9*j = -4*j - 15. Find the third derivative of j*k**2 - 2*k**2 - 2*k**2 + 2*k**5 + 0*k**5 wrt k.
120*k**2
Let h(z) be the second derivative of -z**6/3 + 7*z**3/6 + 9*z. What is the second derivative of h(i) wrt i?
-120*i**2
Let b(s) = 45*s**3 + 49*s**2 + 3. Let d(m) = m**3 - m**2 + 1. Let i(v) = b(v) - 3*d(v). What is the third derivative of i(y) wrt y?
252
Let f(r) be the third derivative of 11*r**7/210 + 7*r**3/3 + 13*r**2. Find the first derivative of f(p) wrt p.
44*p**3
What is the first derivative of 18 - 4*a - 212*a**3 + 427*a**3 - 212*a**3 wrt a?
9*a**2 - 4
Let z(u) be the first derivative of u**6/60 + u**4/4 - 2*u**3/3 - 2. Let s(m) be the third derivative of z(m). Find the first derivative of s(n) wrt n.
12*n
Let w be (-2)/(-11) + 108/11. What is the derivative of 5*j**3 - 10*j + 3 + w*j - 4*j**3 wrt j?
3*j**2
Let q(l) = -4*l - 7. Let t(i) = -i - 2. Let n(f) = 2*q(f) - 9*t(f). Let d(r) = r + 3. Let x(z) = -5*d(z) + 4*n(z). What is the derivative of x(m) wrt m?
-1
Let m(f) be the second derivative of -f**7/6 - f**3/6 + 3*f. What is the second derivative of m(r) wrt r?
-140*r**3
Let l(c) be the first derivative of 10*c**3/3 + 29*c**2/2 - 29. What is the second derivative of l(y) wrt y?
20
Let o = 8 - 5. Let g = 6 + -4. What is the derivative of 3*c**4 - g - c**4 - o*c**4 wrt c?
-4*c**3
Let n(d) be the first derivative of 3/4*d**4 + 0*d + 1 + 0*d**3 - 1/2*d**2. What is the second derivative of n(b) wrt b?
18*b
Let t(q) be the third derivative of -q**6/120 + 3*q**5/20 - 25*q**4/24 + 54*q**2. Find the second derivative of t(d) wrt d.
-6*d + 18
Let h(s) be the second derivative of -s**8/840 + s**6/180 - s**3/3 + 5*s. Let g(w) be the second derivative of h(w). What is the third derivative of g(r) wrt r?
-48*r
Let t(h) be the first derivative of h**5 + h**4 - 3*h**2/2 + 35. What is the second derivative of t(q) wrt q?
60*q**2 + 24*q
Differentiate -8*b**3 + 22 - 513*b**2 + 513*b**2 wrt b.
-24*b**2
Let m(j) = -j**2 - 1. Let u(n) = n**4 + 2. Let l(q) = q**3 + 7*q**2 - q - 5. Let t be l(-7). Let b(i) = t*m(i) + u(i). Find the third derivative of b(x) wrt x.
24*x
Find the second derivative of -6*i**2 + i - 6*i**2 - 5*i**2 + 11*i wrt i.
-34
Suppose -11 = 5*z - 31. Differentiate -3 + 5 - 3*n**4 + z with respect to n.
-12*n**3
Let p(k) be the second derivative of -k**9/3024 - k**6/72 - 4*k**3/3 + 9*k. Let d(j) be the second derivative of p(j). Find the third derivative of d(w) wrt w.
-60*w**2
Let j(x) be the first derivative of -x**4/4 + 7*x**2/2 - 74*x - 1. Differentiate j(q) with respect to q.
-3*q**2 + 7
Let m(b) be the second derivative of 1/6*b**4 + 0*b**3 + 1/10*b**5 + 3*b + 0*b**2 + 0. What is the third derivative of m(w) wrt w?
12
Let b = -10 - -12. Differentiate 65*u - 4 - 65*u - 3*u**b with respect to u.
-6*u
Let t(b) be the third derivative of b**4/6 - 2*b**3 + 16*b**2 + 3. What is the derivative of t(m) wrt m?
4
Let f(r) be the second derivative of 9*r**7/14 + 5*r**3/2 + 26*r. Find the second derivative of f(t) wrt t.
540*t**3
Suppose 0*r + 5 = -5*r. Let g be (r*(-2 - 0))/1. What is the second derivative of g*q - q**4 + 3*q**4 + q**4 wrt q?
36*q**2
What is the third derivative of 3*f**3 - 2*f**2 - 7 + 0*f**2 - 19 + 3*f**2 + 3*f**5 wrt f?
180*f**2 + 18
Let s(a) be the second derivative of a + 1/2*a**3 - 1/2*a**2 + 0. What is the derivative of s(r) wrt r?
3
Let p = -14 - -29/2. Let z(m) be the first derivative of 0*m - p*m**4 + 0*m**2 - 1/3*m**3 - 1. What is the third derivative of z(i) wrt i?
-12
Suppose -8*p = -12*p. What is the third derivative of 6*t**2 - 3*t**6 - 2*t**2 + p*t**2 wrt t?
-360*t**3
What is the derivative of -77*q**2 + 2*q + 62*q**2 - 2*q - 5 wrt q?
-30*q
Let k = 2/53 + 47/159. Let y(j) be the first derivative of 0*j**4 + 0*j**2 - 1 - k*j**3 + 0*j - 3/5*j**5. What is the third derivative of y(c) wrt c?
-72*c
Let j(u) = -u**3 - 6*u**2 + 8*u + 9. Let k be j(-7). Find the second derivative of -4*h + 5*h - 3*h + 3*h**k + 3*h wrt h.
6
Find the second derivative of -24*x**5 - 793 - 6*x + x**5 + 793 wrt x.
-460*x**3
Let b(o) = o**2 - 8*o + 2. Let a be 1*(-4 - -2 - -10). Let f be b(a). Find the third derivative of 4*d**4 + 8*d**2 - 3*d**f - d**4 - 2*d**2 wrt d.
72*d
Let t(y) be the second derivative of 13*y**5/20 - 5*y**3/2 - 16*y. Find the second derivative of t(l) wrt l.
78*l
Find the first derivative of 0 + 2 + l**4 - 1 + 0 wrt l.
4*l**3
Let b(h) = -87*h**3 - 67*h**2 - 17*h. Let y(n) = 29*n**3 + 22*n**2 + 6*n. Let v(m) = -6*b(m) - 17*y(m). Find the third derivative of v(j) wrt j.
174
Let v(s) be the second derivative of 2*s + 0*s**4 + 0*s**5 + 0*s**3 - 3/2*s**2 - 1/15*s**6 + 0. Differentiate v(j) wrt j.
-8*j**3
Let q = -10 + 14. Let s(r) = 2*r**4 + 4*r**3 + r. Let b(x) = -2*x**4 - 5*x**3 - 2*x. Let v(o) = q*b(o) + 5*s(o). What is the second derivative of v(g) wrt g?
24*g**2
Let a(b) = 4*b + 3. Let i be a(-2). Let s = 8 + i. Find the second derivative of 3*z**3 + 2*z - 4*z - z**s wrt z.
12*z
Find the second derivative of 26 + 13*g**4 - 7*g + 8*g**4 - 26 wrt g.
252*g**2
|
{
"pile_set_name": "DM Mathematics"
}
|
is -14*h(c) - 5*n(c)?
16*c**2 + 2*c - 2
Let g(n) = n**2. Let d(a) = 5*a**2 + 53*a + 2. Give d(u) + 6*g(u).
11*u**2 + 53*u + 2
Let l(q) = 10*q**2 - 13. Let c(h) = 5*h - 31. Let n be c(7). Suppose n = -0*a + 2*a. Let f(g) = -3*g**2 + 4. Give a*l(m) + 7*f(m).
-m**2 + 2
Let b(m) = 1427*m + 32. Let f(w) = 1427*w + 26. Calculate 4*b(s) - 5*f(s).
-1427*s - 2
Let a(f) = -122*f + 2. Let t(k) = -121*k + 2. Determine -3*a(r) + 2*t(r).
124*r - 2
Suppose 52*u = 53*u + 6. Let j(f) = -146*f + 66. Let g(b) = -29*b + 13. Let d(i) = u*j(i) + 33*g(i). Let o(a) = 5*a - 2. Give 2*d(x) + 33*o(x).
3*x
Let d(o) = 5*o**2 + 10*o - 12. Let p be d(1). Let y(x) = -6*x - 6. Let n(h) = -6*h - 5. Give p*y(g) - 4*n(g).
6*g + 2
Let i(c) = 3*c + 4*c - 135 + 7*c - 12*c + 134. Let g(k) = 5*k - 3. Give 3*g(m) - 8*i(m).
-m - 1
Suppose -6*w + 27*w - 357 = 0. Let c(h) = -24*h - 11. Let z(u) = -8*u - 4. Give w*z(n) - 6*c(n).
8*n - 2
Let n(p) = -12*p**2 - 219. Let f(v) = -28*v**2 - 437. Determine -2*f(w) + 5*n(w).
-4*w**2 - 221
Let a(d) = 5*d**3 - 4*d**2 - 10. Let x(u) = 4*u**3 - 3*u**2 - 10. Determine 3*a(t) - 4*x(t).
-t**3 + 10
Let b = -18 + 26. Let n(l) = -5 - 210*l + 844*l - 221*l - 206*l - 210*l. Let s(m) = m + 2. Determine b*s(x) + 3*n(x).
-x + 1
Let j(v) = 64*v**3 + 10*v**2 - v + 5. Let p(o) = 62*o**3 + 12*o**2 - o + 6. Calculate -6*j(m) + 5*p(m).
-74*m**3 + m
Let j(z) = 3. Let m(g) = 7*g + 13. Let x(c) = 3*j(c) - m(c). Let l(d) = 8*d + 5. Give 6*l(o) + 7*x(o).
-o + 2
Let p(a) = 3*a**2 - 18*a + 15. Let j(w) = 4*w**2 - 19*w + 18. Give -5*j(b) + 6*p(b).
-2*b**2 - 13*b
Let q be (-5 + 3)/(-2) + 3. Suppose 3 = -a, -o = q*a + 4 + 9. Let f be (-11)/5 + o/(-5). Let g(m) = 4*m + 2. Let c(w) = w + 1. Give f*g(i) + 7*c(i).
-i + 3
Let b(z) = 5*z - 6. Suppose 8 = -2*u, -6*d + 4*d + 2*u = -10. Let v(t) = -t + 1. Determine d*b(w) + 4*v(w).
w - 2
Let x(i) = -6*i. Let a(o) = -10*o - 4. Suppose -c + 5 = -6*c - 5*g, 2*g + 14 = 2*c. Let p be a(c). Let m = p - -21. Let t(s) = 3*s. What is m*t(y) - 6*x(y)?
-3*y
Let l be (-6 - -1 - -8)/(-3). Let k(h) = 15*h**2 + 7*h + 2. Let c(j) = j**2 + j. Determine l*k(f) + 5*c(f).
-10*f**2 - 2*f - 2
Let q(o) = 12*o**3 - 8*o**2 - 6*o + 8. Suppose y + 23 = -5*v, 13*y = 10*y + 2*v - 18. Let s(k) = -4*k**3 + 3*k**2 + 2*k - 3. What is y*s(t) - 3*q(t)?
-4*t**3 + 2*t
Let w(z) be the first derivative of -5*z**4/4 + 3*z**2/2 - 4*z + 290. Let u(y) = 11*y**3 - 7*y + 9. Determine 4*u(h) + 9*w(h).
-h**3 - h
Let c(w) = 5*w**2 - 4*w + 5. Let h(x) = 22*x**2 - 44*x + 44*x - 1 - 23*x**2. What is -c(q) - 3*h(q)?
-2*q**2 + 4*q - 2
Let q(v) = -1. Let p(u) = u + 2. Let b(t) = -t. Let i(a) = -4*b(a) - p(a). Suppose -z = -r + 2, 4*z + 3 = 5*r + 6*z. Give r*i(m) - 2*q(m).
3*m
Let r(l) = -8*l - 7. Let p(n) = -6*n - 2. Let a(f) = -5*f - 2. Let w(z) = 4*a(z) - 3*p(z). Calculate 2*r(v) - 9*w(v).
2*v + 4
Let u(h) = 12*h**3 + 2*h - 68. Let x(o) = -4*o**3 - o + 23. Give -3*u(n) - 8*x(n).
-4*n**3 + 2*n + 20
Let t(z) = 3*z + 1. Let x(b) = -3*b - 1. Determine 2*t(j) + 3*x(j).
-3*j - 1
Let y(h) = 311*h**2 + 6. Let g(u) = 213658*u**2 + 4121. Give -6*g(c) + 4121*y(c).
-317*c**2
Let g(p) = 4*p**3 - 16*p**2 - 4*p - 3. Let q(h) = -5*h**3 + 16*h**2 + 6*h + 4. Determine -4*g(a) - 3*q(a).
-a**3 + 16*a**2 - 2*a
Let z(c) = -2*c**2 + 8*c - 12. Let p(m) = -2*m**2 + 6*m - 11. Let f(r) = -7*p(r) + 6*z(r). Let h(x) = -2*x**2 - 7*x - 6. Determine 7*f(y) + 6*h(y).
2*y**2 - 1
Let c(k) = -447*k**2 - 2*k + 8. Let j(y) = 902939*y**2 + 4041*y - 16164. Determine 4041*c(a) + 2*j(a).
-449*a**2
Let l be (14 - 15)/((-2)/(-10)). Let g(u) = 6*u. Let n be (2/(-6))/((-3)/(-9)). Let m(b) = -b. What is l*m(w) + n*g(w)?
-w
Let k(j) = -5*j**3 - 8*j**2 - 6*j. Let h(f) be the first derivative of f**4 + 7*f**3/3 + 5*f**2/2 + 188. Calculate 6*h(g) + 5*k(g).
-g**3 + 2*g**2
Let q(y) = -y**3 - 2*y**2 + 2*y + 2. Suppose -2*j = j. Let c(u) = j + 5*u**2 + u - 6*u**2 + 1. Let v = -2 + 4. Give v*q(r) - 4*c(r).
-2*r**3
Let v(r) = 2*r**2 + 5958*r - 5958*r - 3*r**2 - 1 - 5*r**3. Let q(u) be the third derivative of -u**6/30 - u**5/60 - u**3/6 + u**2. What is -6*q(m) + 5*v(m)?
-m**3 + m**2 + 1
Let t(k) = -k**2 - 2. Suppose 3*u + 6 = 0, 2*s - 28 = -3*s + 4*u. Let l(h) = h + 6 + 0 + s*h**2 + 5 - 4. Give 2*l(a) + 7*t(a).
a**2 + 2*a
Let r(w) = 6. Let k(y) = -y - 7. Let q be (3 - 2)*(2 + -4)*1. Let c be (-94)/(-18) - (48/(-27) - q). Give c*r(f) + 4*k(f).
-4*f + 2
Let p(w) = 10*w**3 + 1174*w**2. Let t(s) = 7*s**3 + 783*s**2. Calculate 5*p(x) - 7*t(x).
x**3 + 389*x**2
Let l(o) = 2*o**3 + o**2 - o - 1. Let f(j) = 6*j**3 + j**2 - 2*j - 3. What is 2*f(h) - 7*l(h)?
-2*h**3 - 5*h**2 + 3*h + 1
Let o(p) = -12 + 27 - 9*p - 8 + 2. Let v(f) = f - 1. Give -6*o(q) - 51*v(q).
3*q - 3
Let q(r) = 7*r**2 + 138*r - 2. Let m(y) = 25*y**2 + 413*y - 7. Determine -2*m(g) + 7*q(g).
-g**2 + 140*g
Let g(i) = -i. Let j(u) = -5*u - 4. Let r = 82 - 81. Determine r*j(f) - 4*g(f).
-f - 4
Let n(b) = -17*b + 5. Let r(t) = 19*t - 6. What is -6*n(x) - 5*r(x)?
7*x
Let z(n) = -12*n + 13. Let y be (14/10)/((-208)/(-40) - 5). Let t(v) = -v + 4 - y*v - 2*v + 6*v. What is 7*t(a) - 2*z(a)?
-4*a + 2
Let c(j) = -j**3 + j. Suppose -5*i - 1 = 4*l + 39, -3*l = -5*i - 5. Let d(f) = 5*f**3 - 7*f - 3. Calculate i*c(t) - d(t).
-t**3 + 3*t + 3
Let r(z) = 47*z**2 - 5*z + 6. Let y(d) = -49*d**2 + 4*d - 5. Determine 5*r(w) + 6*y(w).
-59*w**2 - w
Let n(p) = -210*p - 9. Let h(r) = 108*r + 4. Give -7*h(g) - 3*n(g).
-126*g - 1
Let z(r) = -r**2 + 12*r - 20. Let q(j) = -3*j**2 + 9*j - 19. Let i(u) = -5*q(u) + 4*z(u). Let v(f) = -5*f**2 - f - 7. Give 4*i(c) + 9*v(c).
-c**2 + 3*c - 3
Let k(n) = -36*n**2 + 4*n + 12. Let i(c) = -34*c**2 + 3*c + 10. Give -6*i(d) + 5*k(d).
24*d**2 + 2*d
Let a(s) be the third derivative of -s**5/5 - s**4/12 - 2*s**3/3 + 3*s**2 - 31. Let o(n) = -n**2 - n - 1. Give a(l) - 4*o(l).
-8*l**2 + 2*l
Let w(x) = -x. Let y(k) be the third derivative of -7*k**4/12 - 2*k**2. Let n(t) = 88*t + 626. Let p be n(-7). Determine p*w(f) - y(f).
4*f
Let y(t) = 6*t**3 - 7*t - 97. Let o(m) = -2*m**3 + 2*m + 32. Determine -7*o(f) - 2*y(f).
2*f**3 - 30
Suppose -4*k = 2*r - 18, 0*k + 3*k - 30 = 4*r. Suppose -3*x + 3 + 12 = 0. Let m(c) = -x*c + k + 3*c - c + 2*c. Let t(b) = -2*b + 13. Calculate 13*m(s) - 6*t(s).
-s
Let s(k) = -1. Let v(b) = -b + 6. Let o be (-17)/(-3) + 20/60. Let p = o + 4. Give p*s(a) + 2*v(a).
-2*a + 2
Let x(k) = -2*k**2 + 1. Let j(b) = 4*b**2 + 7*b + 2. Let s(f) = j(f) - 2*x(f). Let v(g) = 3*g**2 + 2*g. What is 2*s(z) - 7*v(z)?
-5*z**2
Let i(x) = -x**3 + 2*x - 1. Let n(d) = d**3 + 49*d**2 - 6*d - 1. What is -3*i(g) - n(g)?
2*g**3 - 49*g**2 + 4
Let f(g) = -g - 1. Let j(d) be the first derivative of -d + 89. Determine -4*f(y) + 5*j(y).
4*y - 1
Let t(r) = 2*r**2 - 7. Let w(j) = j**2 - 2. Suppose -1044 + 1074 = -5*n. What is n*t(p) + 21*w(p)?
9*p**2
Let l be 3*(3 + (-3 - -1)). Let h(w) = 3*w**2 - 2*w. Let z(m) = -26*m**2 + 0 + 30*m**2 - 2*m + 1. What is l*h(i) - 2*z(i)?
i**2 - 2*i - 2
Let r(y) = -15*y**3 - 4*y**2 - 6*y - 6. Let f(m) = m**2 + m + 1. Give 6*f(v) + r(v).
-15*v**3 + 2*v**2
Let x(j) = -j - 2. Let z(a) = -a - 3. Let t(q) = 2*x(q) - 3*z(q). Let w(m) be the first derivative of m**2 + 6*m - 15. Calculate 4*t(r) - 3*w(r).
-2*r + 2
Let m(f) = 3*f. Let g be -30 - (5 + -4)*-3. Let h(o) = 21*o. Let z be (3 + 20/(-6))*-12. Give g*m(i) + z*h(i).
3*i
Let i(u) = 11*u**2 + u - 1. Let l(w) = -43*w**2 - 4*w + 3. Give -9*i(q) - 2*l(q).
-13*q**2 - q + 3
Let m(z) = -21*z**3 - 9*z + 9. Let v(p) = -4*p**3 + 2*p + 2. Let y(g) = -g**3 - 4*g. Let d(t) = -v(t) - y(t). What is 9*d(n) + 2*m(n)?
3*n**3
Let d(r) = -r + 1. Let v be d(-6). Let j(q) = 2*q**2 + 9*q - 1. Let m(i) = 5*i + 3*i - 8*i - 11*i - 3*i**2 + 2 - 2*i. Give v*j(s) + 5*m(s).
-s**2 - 2*s + 3
Let d(x) = -36023*x**3 - 663*x**2 + 663. Let c(w) = 217*w**3 + 4*w**2 - 4. Calculate 663*c(o) + 4*d(o).
-221*o**3
Let c(z) be the third derivative of z**6/120 - z**5/60 - z**3/6 + 576*z**2. Let o(k) = -3*k**3 + 5*k**2 + 8. Determine -5*c(p) - o(p).
-2*p**3 - 3
Let w(o) = 3*o**3 - 35*o + 6. Let r(t) = t**3 + t - 3. Give 2*r(d) + w(d).
5*d**3 - 33*d
Let g(l) = -12*l + 6. Let k(s) = -25*s + 13. Suppose 44*i + 228 = 624. Calculate i*g(f) - 4*k(f).
-8*f + 2
Let j(z) = 6*z - 1. Let s(h) = 94*h + 1. Determine 2*j(v) + s(v).
106*v - 1
Let d(v) = 40*v**3 - 12*v - 5.
|
{
"pile_set_name": "DM Mathematics"
}
|
rs picked without replacement from {j: 1, o: 1, z: 1, i: 2, s: 2, c: 2}?
1/18
What is prob of picking 2 f and 1 c when three letters picked without replacement from cfffcjcfjcjjffj?
12/91
Three letters picked without replacement from {v: 2, b: 5, i: 3, w: 2, z: 3}. What is prob of picking 1 i and 2 v?
3/455
What is prob of picking 2 g and 1 h when three letters picked without replacement from dvvogvgovgdggvho?
1/56
Four letters picked without replacement from iksidiis. Give prob of picking 1 d and 3 i.
2/35
Three letters picked without replacement from wlukkwwkwwkkwwwkkk. What is prob of picking 2 k and 1 w?
14/51
Calculate prob of picking 2 j, 1 t, and 1 n when four letters picked without replacement from tnajnanjaaqfqfn.
4/1365
Three letters picked without replacement from ccccccqccccqc. What is prob of picking 2 q and 1 c?
1/26
Three letters picked without replacement from {s: 1, f: 3, w: 4, v: 5, a: 1, k: 6}. Give prob of picking 1 f and 2 k.
3/76
Calculate prob of picking 1 s, 1 h, and 1 i when three letters picked without replacement from {h: 2, i: 9, d: 2, s: 3, r: 1}.
27/340
Calculate prob of picking 3 b when three letters picked without replacement from bbbbb.
1
Calculate prob of picking 1 d, 1 z, and 1 f when three letters picked without replacement from {f: 1, u: 2, z: 1, k: 1, d: 2}.
2/35
Three letters picked without replacement from puuufpu. What is prob of picking 3 u?
4/35
Calculate prob of picking 1 e and 1 m when two letters picked without replacement from ieokm.
1/10
What is prob of picking 2 d and 1 p when three letters picked without replacement from {n: 1, d: 2, v: 4, p: 2}?
1/42
Calculate prob of picking 1 i, 2 m, and 1 v when four letters picked without replacement from {m: 2, z: 3, i: 1, s: 2, v: 2, k: 2}.
2/495
Calculate prob of picking 3 u and 1 e when four letters picked without replacement from eeeeeeeuueeeuu.
40/1001
What is prob of picking 2 b, 1 c, and 1 y when four letters picked without replacement from bybbeabbbqc?
1/22
What is prob of picking 2 v, 1 y, and 1 m when four letters picked without replacement from {m: 4, y: 6, v: 3}?
72/715
Four letters picked without replacement from {v: 1, u: 7, a: 2}. Give prob of picking 2 a and 2 u.
1/10
Calculate prob of picking 1 c, 1 h, 1 x, and 1 z when four letters picked without replacement from {x: 1, c: 2, e: 3, h: 1, r: 1, z: 3}.
1/55
Four letters picked without replacement from {t: 5, d: 3, x: 1, j: 5, k: 1}. Give prob of picking 3 t and 1 d.
2/91
Calculate prob of picking 3 m and 1 h when four letters picked without replacement from mmmmtmmhm.
5/18
Three letters picked without replacement from {n: 4, j: 2, y: 2, z: 2, f: 4, e: 1}. Give prob of picking 1 f, 1 j, and 1 e.
8/455
Two letters picked without replacement from eeoy. Give prob of picking 1 e and 1 y.
1/3
Calculate prob of picking 2 a and 1 q when three letters picked without replacement from qauwaqqvawauwurqwaaa.
7/95
What is prob of picking 2 w when two letters picked without replacement from eweowpe?
1/21
Two letters picked without replacement from {r: 2, h: 3, v: 3, t: 2, f: 3}. Give prob of picking 1 v and 1 f.
3/26
Two letters picked without replacement from {g: 1, z: 3}. Give prob of picking 1 z and 1 g.
1/2
Two letters picked without replacement from vqqeggeceegvee. Give prob of picking 1 v and 1 e.
12/91
What is prob of picking 1 t and 1 j when two letters picked without replacement from {t: 1, n: 3, j: 1, z: 5, a: 1}?
1/55
Calculate prob of picking 2 t when two letters picked without replacement from {t: 11, u: 1, o: 1, a: 1, e: 1}.
11/21
Two letters picked without replacement from llkkkvsvkvklk. Give prob of picking 1 k and 1 l.
3/13
Two letters picked without replacement from {j: 6}. Give prob of picking 2 j.
1
What is prob of picking 1 s, 2 h, and 1 p when four letters picked without replacement from mfssfhmamhmsphm?
3/455
Two letters picked without replacement from {r: 2, y: 8}. Give prob of picking 2 r.
1/45
Four letters picked without replacement from kjjjjjkjjj. What is prob of picking 4 j?
1/3
Four letters picked without replacement from eeeeeeeee. What is prob of picking 4 e?
1
Four letters picked without replacement from {g: 5, l: 2, i: 5}. Give prob of picking 3 i and 1 l.
4/99
Four letters picked without replacement from {h: 1, z: 4, c: 3, i: 2, x: 1, a: 4}. What is prob of picking 1 z, 1 h, 1 c, and 1 x?
4/455
What is prob of picking 4 c when four letters picked without replacement from {c: 7}?
1
What is prob of picking 1 e and 1 y when two letters picked without replacement from {e: 5, y: 3}?
15/28
Three letters picked without replacement from {j: 5, b: 2, a: 11, g: 2}. What is prob of picking 2 a and 1 g?
11/114
What is prob of picking 2 v and 2 k when four letters picked without replacement from vkvkkk?
2/5
Calculate prob of picking 1 h, 1 j, 1 r, and 1 l when four letters picked without replacement from rljrlrululhullrurr.
1/85
Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, e: 2, p: 7}.
1/55
Two letters picked without replacement from {t: 4, m: 1, f: 2, b: 1, e: 1}. Give prob of picking 2 f.
1/36
Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {d: 1, t: 1, i: 2}.
1/6
Three letters picked without replacement from {z: 5, k: 1, y: 6, j: 2, m: 1}. Give prob of picking 1 m, 1 y, and 1 z.
6/91
What is prob of picking 2 j and 1 r when three letters picked without replacement from tjjrjfjjw?
5/42
Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, c: 2}.
3/10
Two letters picked without replacement from qqoooqoqaooaqoq. What is prob of picking 2 a?
1/105
What is prob of picking 2 v when two letters picked without replacement from gvttvhb?
1/21
Three letters picked without replacement from zzurzxzzu. What is prob of picking 1 x, 1 r, and 1 z?
5/84
Calculate prob of picking 2 k, 1 d, and 1 y when four letters picked without replacement from {e: 2, y: 4, k: 8, d: 3, a: 2}.
28/323
Two letters picked without replacement from uwwwruwrwww. Give prob of picking 1 u and 1 w.
14/55
What is prob of picking 2 s and 1 n when three letters picked without replacement from kdwkngs?
0
What is prob of picking 1 w and 3 i when four letters picked without replacement from {e: 1, w: 1, n: 3, i: 4, b: 2}?
2/165
Two letters picked without replacement from bgbgbbbbbbbggbbbbg. Give prob of picking 2 g.
10/153
Calculate prob of picking 2 t when two letters picked without replacement from tcccttcc.
3/28
Calculate prob of picking 1 x, 1 r, and 2 h when four letters picked without replacement from fhfhevhxfrevxehv.
3/455
Two letters picked without replacement from {l: 7, j: 1, a: 1}. Give prob of picking 1 l and 1 a.
7/36
Three letters picked without replacement from {z: 1, c: 1, q: 4, e: 2, u: 1}. What is prob of picking 1 q, 1 e, and 1 z?
2/21
Calculate prob of picking 1 x and 1 t when two letters picked without replacement from wtwttttxttxt.
8/33
What is prob of picking 2 b, 1 m, and 1 s when four letters picked without replacement from bbgbsbbggbbgggm?
1/65
Calculate prob of picking 1 b, 1 g, and 1 o when three letters picked without replacement from gobooggooogogoggooo.
77/969
What is prob of picking 1 k, 1 h, and 1 x when three letters picked without replacement from {h: 3, j: 2, k: 2, e: 4, x: 3, w: 1}?
18/455
What is prob of picking 3 t when three letters picked without replacement from mtmmtmmmtmtt?
1/22
Four letters picked without replacement from {b: 4, l: 1, u: 3}. Give prob of picking 2 l and 2 u.
0
Calculate prob of picking 1 g and 2 l when three letters picked without replacement from {z: 3, g: 5, l: 2}.
1/24
Two letters picked without replacement from {n: 4, y: 10}. What is prob of picking 2 y?
45/91
Four letters picked without replacement from {l: 1, w: 1, m: 1, h: 2, x: 1, d: 1}. Give prob of picking 1 d, 2 h, and 1 x.
1/35
What is prob of picking 1 n and 2 w when three letters picked without replacement from wnwwnwwwwwnnwwnwwn?
33/68
Three letters picked without replacement from {s: 5, u: 2}. What is prob of picking 2 s and 1 u?
4/7
Three letters picked without replacement from bxxxxbxxbbxxbxbbxjb. What is prob of picking 1 j and 2 b?
28/969
Two letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
of 6800307 and 3.
3
Calculate the greatest common factor of 165600145 and 85.
85
What is the greatest common factor of 236844 and 6188?
68
Calculate the greatest common factor of 782546256 and 144.
144
Calculate the greatest common factor of 44366 and 35350.
14
Calculate the highest common divisor of 1392855 and 555.
15
What is the greatest common divisor of 87192463 and 133?
19
Calculate the greatest common factor of 882544 and 767.
13
Calculate the greatest common factor of 173796 and 3192.
84
Calculate the greatest common factor of 1025295 and 22620.
435
Calculate the highest common divisor of 891 and 547030.
11
Calculate the highest common factor of 648 and 65948.
4
Calculate the highest common factor of 43774143 and 677.
677
Calculate the highest common factor of 3326 and 18860083.
1663
What is the highest common factor of 361831825 and 9112?
1139
What is the greatest common divisor of 36066488 and 16600?
664
Calculate the greatest common divisor of 1732100860 and 7.
7
Calculate the greatest common factor of 4180342 and 444819.
4783
Calculate the greatest common divisor of 91946258 and 74.
74
Calculate the greatest common factor of 3136190 and 930.
10
Calculate the highest common divisor of 23336263 and 18707.
1439
What is the highest common divisor of 2 and 94368700?
2
What is the highest common divisor of 192 and 691924864?
64
What is the highest common divisor of 3926 and 13002?
2
What is the highest common factor of 25278178 and 5476?
74
Calculate the greatest common factor of 7347158 and 949.
949
What is the greatest common divisor of 1620 and 661660?
20
What is the greatest common divisor of 1890 and 1315089?
27
Calculate the highest common divisor of 16 and 407620.
4
Calculate the highest common factor of 896 and 2944424.
56
Calculate the highest common factor of 343908790 and 60.
10
What is the greatest common factor of 4893 and 125888?
7
What is the highest common factor of 264405139 and 862?
431
Calculate the greatest common divisor of 5724 and 391477239.
1431
Calculate the greatest common factor of 2492 and 86662682.
178
Calculate the greatest common divisor of 440 and 34954579.
11
Calculate the highest common divisor of 62973306 and 154.
22
Calculate the greatest common divisor of 32 and 253273.
1
Calculate the highest common divisor of 10907117 and 156.
13
What is the highest common factor of 24332 and 54740048?
3476
Calculate the greatest common factor of 3175 and 25400.
3175
What is the highest common divisor of 177620 and 20544?
428
Calculate the highest common factor of 182 and 20542774.
14
Calculate the greatest common factor of 1221210 and 3249.
9
What is the highest common factor of 10856 and 150686?
118
What is the greatest common factor of 5250004 and 444?
148
What is the highest common divisor of 14681 and 213749?
53
What is the greatest common divisor of 402623 and 7891?
13
Calculate the highest common factor of 5655682 and 4268.
194
What is the greatest common factor of 461244 and 24624?
228
Calculate the highest common factor of 241290 and 2114.
14
Calculate the highest common divisor of 9 and 2209503843.
9
Calculate the greatest common divisor of 599696 and 327968.
592
What is the highest common factor of 12130892 and 1976?
76
What is the greatest common divisor of 379 and 3004333?
379
Calculate the greatest common divisor of 7909276752 and 8424.
8424
What is the greatest common divisor of 663760098 and 17684?
8842
Calculate the greatest common divisor of 145 and 41048485.
145
Calculate the highest common divisor of 645 and 52895805.
645
Calculate the greatest common factor of 289350 and 2775.
75
Calculate the highest common divisor of 112566247 and 259.
37
What is the greatest common factor of 357 and 638169?
21
What is the highest common factor of 116752736 and 1367?
1367
Calculate the greatest common divisor of 30561 and 191357.
61
Calculate the greatest common divisor of 21547858 and 62722.
5702
Calculate the greatest common factor of 9170304 and 14784.
2112
Calculate the greatest common divisor of 16629976 and 1351666.
6406
What is the greatest common divisor of 7184870 and 135450?
3010
Calculate the highest common divisor of 970610256 and 3024.
3024
Calculate the highest common factor of 18142800 and 13200.
1200
Calculate the highest common factor of 12818 and 46375966.
442
Calculate the greatest common factor of 12 and 2780276.
4
What is the greatest common divisor of 12811293 and 396?
99
Calculate the highest common divisor of 58870 and 126266.
406
Calculate the highest common factor of 270 and 9272070.
270
Calculate the highest common factor of 1993148 and 156196.
68
What is the highest common factor of 2239730 and 250?
10
What is the greatest common factor of 47914596 and 63?
9
What is the greatest common factor of 427 and 108497894?
61
What is the highest common divisor of 1689075 and 2025?
225
Calculate the greatest common factor of 5346 and 311203134.
1782
What is the highest common divisor of 22624598 and 10288?
1286
Calculate the greatest common factor of 21 and 3449411.
7
What is the highest common factor of 13950 and 15216350?
1550
Calculate the highest common factor of 97544 and 5541924.
548
What is the highest common divisor of 159810599 and 4173?
1391
What is the greatest common divisor of 277410926 and 508?
254
What is the highest common factor of 33633171 and 2288?
143
Calculate the greatest common divisor of 609 and 241288845.
609
What is the highest common divisor of 497013820 and 20?
20
Calculate the highest common divisor of 40723451 and 2279.
2279
What is the highest common factor of 1996599 and 1173?
51
What is the greatest common factor of 760276 and 1739?
37
Calculate the highest common divisor of 2898740 and 60.
20
Calculate the highest common factor of 1500 and 4861365.
15
Calculate the greatest common factor of 33066 and 104643.
99
Calculate the highest common factor of 2925 and 22711950.
225
Calculate the highest common factor of 1440 and 1764372.
12
What is the highest common factor of 153138 and 726?
6
What is the highest common factor of 1702829 and 21947?
1291
What is the highest common divisor of 2406279 and 970?
97
Calculate the highest common factor of 65658 and 16554.
186
Calculate the highest common factor of 5698433 and 104.
13
What is the greatest common factor of 1999536 and 9856?
1232
What is the highest common factor of 89652315 and 15?
15
What is the greatest common factor of 467452 and 2668?
92
What is the greatest common factor of 46996894 and 112?
14
Calculate the greatest common factor of 900412570 and 4130.
590
Calculate the greatest common factor of 178167104 and 24.
8
What is the highest common divisor of 4561719 and 343527?
7989
What is the highest common divisor of 5 and 1876884?
1
What is the highest common factor of 576 and 102172176?
144
Calculate the greatest common divisor of 48453 and 69.
3
Calculate the greatest common divisor of 8412007 and 1835.
367
Calculate the highest common factor of 5708342 and 8.
2
What is the highest common factor of 18205318 and 1244?
622
Calculate the greatest common factor of 76486 and 976227.
229
What is the greatest common factor of 37 and 661702?
1
What is the highest common factor of 468 and 328432?
52
What is the highest common factor of 8 and 806088952?
8
Calculate the highest common factor of 3044772875 and 125.
125
Calculate the highest common divisor of 491169 and 5397.
21
Calculate the highest common divisor of 2933262398 and 22.
22
What is the greatest common divisor of 1084847 and 1075?
43
What is the greatest common factor of 74202 and 25926?
894
Calculate the greatest common factor of 10622 and 967499559.
5311
What is the highest common divisor of 891644274 and 54?
54
Calculate the greatest common divisor of 16 and 1413554.
2
What is the greatest common factor of 90061 and 1169996?
797
What is the highest common factor of 207 and 748443?
69
Calculate the greatest common divisor of 1342397 and 2087873.
2701
What is the greatest common factor of 34586970 and 978?
978
Calculate the greatest common factor of 2366 and 1752842.
182
What is the greatest common factor of 228 and 869335614?
114
What is the highest common divisor of 8943 and 3111351?
813
What is the greatest common divisor of 62 and 113362?
2
C
|
{
"pile_set_name": "DM Mathematics"
}
|
*f + 7. Let y(t) = -5 - 2 - 7 - 3*t. Let s be y(-6). Calculate s*w(a) - 7*p(a).
-2*a + 3
Let u(t) = -3*t**2 - 9*t + 3. Let g(y) = -2*y**2 - 5*y + 2. Let f(o) = -o**3 + 23*o**2 + 169*o + 138. Let a be f(29). Calculate a*g(m) + 4*u(m).
2*m**2 - m - 2
Let o(c) = -16*c + 5. Let x = 1414 + -1418. Let r(b) = 15*b - 6. Determine x*o(a) - 3*r(a).
19*a - 2
Let a(j) = 3*j - 4*j**2 + 3 - j**2 + 12 - 8. Let p(d) = 2*d**2 - d - 2. Let z(q) = -13*q + 204. Let k be z(16). Determine k*a(c) - 11*p(c).
-2*c**2 - c - 6
Suppose -1 = w - 5*i + 3, -2*i - 2 = -w. Let j(m) = -m - 1. Let k(r) be the first derivative of 56*r**2 + 6*r - 31*r**2 + 10 - 21*r**2. Determine w*j(l) + k(l).
2*l
Let i(h) = 4*h + 41. Let p be i(-8). Let v = 10 - 2. Suppose p - 41 = -v*l. Let u(o) = -o**2 + o + 4. Let f(a) = 2*a**2 - 2*a - 9. What is l*f(r) + 9*u(r)?
-r**2 + r
Let l(z) = 1. Let m(r) = 24*r**2 + 92*r - 61. Let t(d) = -3*d**2 - 12*d + 8. Let c(n) = -6*m(n) - 46*t(n). Give 4*c(o) + 8*l(o).
-24*o**2
Let x(p) = -15*p**2 + p + 7. Let d(y) be the second derivative of 7*y**4/12 - 3*y**2/2 + 1309*y. Give 5*d(h) + 2*x(h).
5*h**2 + 2*h - 1
Let s(w) = 128*w**3 + 278*w + 194. Let z(r) = -77*r**3 - 167*r - 113. Determine 7*s(i) + 12*z(i).
-28*i**3 - 58*i + 2
Suppose 0 = -1462*g + 1472*g - 20. Let k(x) = -6*x + 3. Let v(f) = f**3 + 12*f - 7. Calculate g*v(z) + 5*k(z).
2*z**3 - 6*z + 1
Let s(q) = -4*q**2 - 7*q + 119. Let d(z) = -z**2 - z + 12. Determine 6*d(b) - s(b).
-2*b**2 + b - 47
Let x(c) = 8*c - 260. Let z(u) = 15*u - 441. Let l(r) = -5*x(r) + 3*z(r). Let k(o) = -11*o + 46. Calculate 3*k(h) + 7*l(h).
2*h - 23
Let p(k) = k**3 + k**2 - 5. Let l(u) = u**2 - 2*u**3 - 3*u**2 + 68 - 57. Let m be 80/(-12) + (-4)/(-6). Determine m*l(v) - 13*p(v).
-v**3 - v**2 - 1
Let h(y) = y**3. Let f(n) be the second derivative of n**5/20 + n**3/6 - 19*n. Let z(x) = 36*x**2 + 215*x - 8. Let q be z(-6). Determine q*f(o) - h(o).
-3*o**3 - 2*o
Let u(c) = -774*c**2 - 23*c - 2. Let b(z) = 390*z**2 + 13*z + 1. What is -11*b(o) - 6*u(o)?
354*o**2 - 5*o + 1
Let o(k) = -2*k**2 + 10*k - 8. Let n(q) = 1 + 7*q + q - 2*q - 7*q. Let u(z) = z**3 - 7*z**2 - 9*z + 7. Let m be u(8). Give m*o(y) - 10*n(y).
2*y**2 - 2
Let n(u) = 6*u - 10020. Let t(f) = -14*f + 25052. Give 12*n(q) + 5*t(q).
2*q + 5020
Let g(q) = 763*q**3 + 10*q**2 - 5*q + 6. Let h(a) = -1144*a**3 - 16*a**2 + 8*a - 10. Determine 8*g(w) + 5*h(w).
384*w**3 - 2
Let o(x) = -x - 3. Let r(a) = -1. Let u = -486 + 491. Suppose -2*t = t - 6. Let h = 0 - t. What is h*o(g) + u*r(g)?
2*g + 1
Let g be 54/(-3) + 14 + -17. Let v(i) = -i + 1. Let y(z) = -7*z - 33 + 4*z + 12 + 17*z. Give g*v(p) - y(p).
7*p
Let h = 158 - 154. Let c(g) = 20*g**2 - 16. Let a(o) = -7*o**2 + 6. Let j(q) = h*c(q) + 11*a(q). Let f(d) = 6*d**2 + 5. Give -2*f(y) + 5*j(y).
3*y**2
Let g(m) = -5*m + 4. Let y(u) = 11*u - 9. Let c = -716 - -716. Let s be (-3 - -1) + c + -4. Give s*y(v) - 13*g(v).
-v + 2
Let l(d) = 7*d**2 - 5*d + 17. Let a = -6282 + 6277. Let p(k) = k**2 - k. Calculate a*p(y) + l(y).
2*y**2 + 17
Let h be (6/(-15))/((-1)/(194 + 1)). Suppose 72*l + 72 = h*l. Let f(c) = c**2 - c. Let u(m) = 2*m**2 - 4*m. What is l*f(b) - 3*u(b)?
6*b**2
Let x(q) = q**2 - 119*q - 1. Let z(p) = -3*p**2 + 354*p + 3. What is 8*x(b) + 3*z(b)?
-b**2 + 110*b + 1
Let o(h) = 1830*h**2 - 7930*h + 1586. Let z(c) = -c**2 + 5*c - 1. Give 6*o(i) + 9516*z(i).
1464*i**2
Let d(z) = 11*z**3 + 5*z + 5. Let h(a) = -12 - a**2 + a**2 - 28*a**3 - 12*a. Let r be 4/5*(-30)/36 - (-51)/9. Determine r*h(b) + 12*d(b).
-8*b**3
Let p(m) = 2292*m + 19. Let g(q) = -1144*q - 8. Determine -7*g(b) - 3*p(b).
1132*b - 1
Let a(r) = -26*r + 8*r - 11 + 21*r + 11*r. Let s(f) = -2*f**2 - f - 2. Let v be s(1). Let i(n) = 9*n - 7. Determine v*a(j) + 8*i(j).
2*j - 1
Let i(u) = 4524*u + 4350. Let h(s) = 4*s + 5. What is 5220*h(k) - 6*i(k)?
-6264*k
Let k(d) = 2538*d**2 - 235*d + 235. Let o(g) = -43*g**2 + 4*g - 4. Suppose -z = 5*n - 19, 9*n = 12*n + 2*z - 10. Calculate n*k(x) + 235*o(x).
47*x**2
Let h(u) = -3642*u**3 + 5*u - 10. Let b(p) = 112904*p**3 - 154*p + 308. Calculate -5*b(n) - 154*h(n).
-3652*n**3
Let i(a) = -2*a**2 + 5*a - 6. Let h = 5434 + -5428. Let j(x) = -3*x**2 + 6*x - 7. What is h*i(f) - 5*j(f)?
3*f**2 - 1
Let c(k) = -12*k**2 - 1. Let z(j) = -67*j**2 - 12*j - 4. Give -5*c(f) + z(f).
-7*f**2 - 12*f + 1
Let w(s) = -6*s - 27. Let k(f) be the second derivative of f**3/2 + 13*f**2/2 - 602*f + 2. Calculate 5*k(g) + 2*w(g).
3*g + 11
Let j(m) = -17*m**2 - 51. Let h(q) = -54*q**2 - 151. Calculate -6*h(z) + 17*j(z).
35*z**2 + 39
Let n(g) = 7*g**3 + 12*g**2 + 3*g - 10. Let t(j) = -6*j**3 - 17*j**2 - 4*j + 10. Give 4*n(c) + 3*t(c).
10*c**3 - 3*c**2 - 10
Let g(o) = 8*o - 1. Let b(v) = -23*v + 2. Let k be 2550/70 + (-6)/14. Suppose -54 = -6*l - k. Calculate l*b(h) + 8*g(h).
-5*h - 2
Let s(f) = -f**2 - f - 4. Let n(c) = -c**2 - c - 3. Suppose -14*b + 75 = 11*b. Let y be 7 - (b - -3 - 3). What is y*n(w) - 3*s(w)?
-w**2 - w
Let p(z) = -7*z**3 - 7*z**2 + 69*z - 15. Let t(r) = 15*r**3 + 15*r**2 - 138*r + 31. Calculate 11*p(h) + 5*t(h).
-2*h**3 - 2*h**2 + 69*h - 10
Let z(s) = -9*s + 5. Let h(n) = -2118*n + 36. What is -2*h(r) + 14*z(r)?
4110*r - 2
Let f(n) = 464*n**2 - 2*n + 104. Let s(w) = 466*w**2 - w + 69. Give 2*f(l) - 3*s(l).
-470*l**2 - l + 1
Let t(g) = -11. Let y(o) = 5*o**3 - 6*o**2 - 12*o + 4. Let a(x) = 11*x**3 - 13*x**2 - 26*x + 7. Let w(z) = -6*a(z) + 13*y(z). Give 3*t(c) + 2*w(c).
-2*c**3 - 13
Let u(n) = -21*n + 7. Let o(r) = 3*r - 4. Let b be o(3). Let l(t) = -36 + b*t - 33 + 103 - 36 + 2*t. What is -7*l(g) - 2*u(g)?
-7*g
Let r(w) = -50*w**2 - 4*w - 29. Let j(y) = 101*y**2 + 9*y + 58. Calculate 4*j(f) + 9*r(f).
-46*f**2 - 29
Let g(c) = -5053*c**2 + 4. Let j(r) = 1556320*r**2 - 1233. Give -2466*g(u) - 8*j(u).
10138*u**2
Let z(m) = -m**2 - 1. Let s(l) = 2*l + 1. Let h(q) = -q**2 - 9*q - 9. Let g(w) = h(w) + 4*s(w). Calculate g(k) - 6*z(k).
5*k**2 - k + 1
Let b(t) = t**2 - 3*t. Suppose -4 - 612 = 56*o. Let c(l) = -3*l**2 + 10*l. Calculate o*b(i) - 4*c(i).
i**2 - 7*i
Let o(g) = 1628*g**3 + 18*g - 2. Let p(q) = 1629*q**3 + 27*q - 4. Calculate 3*o(d) - 2*p(d).
1626*d**3 + 2
Let j = -14065 - -14067. Let m(k) = -1. Let b = 11 - 6. Let i(g) = -5*g + b*g + g**2 - 2. Calculate j*m(q) - i(q).
-q**2
Let q(y) = y**3 - 5*y**2 - 9*y + 3. Let l(d) = -3*d**3 + 9*d**2 + 19*d - 7. Determine 4*l(p) + 9*q(p).
-3*p**3 - 9*p**2 - 5*p - 1
Let w(o) be the first derivative of o**3/3 + o**2/2 + o - 26. Let m(q) = 229 + 8*q + 8*q**2 + 220 - 445. What is -m(h) + 6*w(h)?
-2*h**2 - 2*h + 2
Let v(i) = -6*i + 6. Let b(w) = 3*w**2 + w. Let g be b(1). Let k(t) = -7*t + 7. Let a = 410 + -411. Let l be (a*1 - -11)*83/(-166). What is g*k(o) + l*v(o)?
2*o - 2
Let h(g) = -23*g + 1. Let w(z) = 54*z - 4. Let f(c) = -9*h(c) - 4*w(c). Let l(k) = 26*k - 21. Calculate 17*f(x) + 6*l(x).
3*x - 7
Let r(h) = 4*h + 2. Let k(t) = 6325*t - 10. Give -k(g) - 5*r(g).
-6345*g
Let z(x) = -217*x + 63. Let i(r) be the third derivative of 7*r**4/24 - r**3/3 - 114*r**2. Suppose -7*j + 9*j = -126. What is j*i(c) - 2*z(c)?
-7*c
Let u(l) = -4*l**2 + 10*l - 107. Let g(d) = -5*d**2 + 15*d - 108. Calculate 3*g(y) - 4*u(y).
y**2 + 5*y + 104
Let j(k) = 4503*k**2 - 10*k - 10. Let t(o) = -22524*o**2 + 48*o + 48. What is -24*j(g) - 5*t(g)?
4548*g**2
Let v(q) = 7*q**3 + 3*q**2 + 3*q. Let d(s) = -6*s**3 - 2*s**2 - 2*s. Let y = -322 + 316. Suppose -5*n - 12 = -7*g + 5*g, 5*n = 5*g. What is g*v(a) + y*d(a)?
8*a**3
Let t(k) = 1863*k + 10. Let z(b) = 1875*b + 8. What is -5*t(m) + 6*z(m)?
1935*m - 2
Let z(n) = -116*n**3 - 14*n**2 + 607*n + 10. Let a(b) = 23*b**3 + 3*b**2 - 124*b - 2. What is 14*a(x) + 3*z(x)?
-26*x**3 + 85*x + 2
Let m(s) = 4*s**3 + 96*s**2 - 22*s. Let t(o) = o**3 + 36*o**2 - 8*o. Let i(c) = 4*m(c) - 11*t(c). Let j(y) = 14*y**3 - 36*y**2. What is 8*i(f) - 3*j(f)?
-2*f**3 + 12*f**2
Let h(p) = -p**2 - p + 1. Let u = 154 - 144. Suppose -10*k + 40 = u*k. Let t(l) = 2*l**2 - 4*l + 1. Determine k*h(f) - t(f).
-4*f**2 + 2*f + 1
Let f(t) = 14*t**2 - 7*t - 539. Let d(g) = -11*g**2 + 6*g + 537. Give 5*d(k) + 4*f(k).
k**2 + 2*k + 529
Let q(i) = -i - 6. Let m be 7 + 37/(-5) + (-86)/10. Let y be ((-78)/(-9) - 1) + 6/m. Let o(u) = 2. Determine y*o(c) + 2*q(c).
-2*c + 2
Let w(d) = -6*d - 5336. Let k(f) = -2*f - 2148. Determine -
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose 52 = 2*q - m*q - w, -2*q = 4*w - 52. What are the prime factors of q?
2, 13
Let u(n) = -n**2 + 0*n**2 - 1 - 6*n - 2. Let k be u(-5). Suppose -8 = k*x - 28. List the prime factors of x.
2, 5
Let y(k) be the first derivative of k**3/3 - 2*k + 3. List the prime factors of y(2).
2
Suppose 44 = 5*l - 3*l. What are the prime factors of l?
2, 11
What are the prime factors of (-1)/2*(-20 - 212)?
2, 29
Let a = 2 - 4. Let o be a/3 - (-38)/3. List the prime factors of (9/12)/(1/o).
3
Let w(f) = -2*f + 7. Let u be w(5). Suppose 0 = -c + 4*h + 25 - 4, -2*c + 2*h + 18 = 0. Let d = c + u. List the prime factors of d.
2
Let o = -3 + 17. Suppose j - 6 = 4. Suppose 3*i = j + o. What are the prime factors of i?
2
Let h be ((-6)/8)/((-3)/(-12)). Let q = h - -21. Suppose 3*s + 2*s = -2*m + 24, -2*s + 2*m + q = 0. What are the prime factors of s?
2, 3
Suppose -4*j + 7 = -1. Let i(s) = -5*s - s**2 - 4*s + 0 + 0*s**j + 3. List the prime factors of i(-8).
11
Let a = 2 - -2. Suppose 0 = i - 4*b + 9 - 1, 20 = a*b. List the prime factors of i/(-16) + 62/8.
7
Let n = 108 + -63. What are the prime factors of n?
3, 5
Suppose -5*o + 4*a = -8 - 0, -2*a - 4 = -o. Suppose 0 = 4*r - o - 8. Suppose 11 = r*p - p. List the prime factors of p.
11
Suppose -14 + 2 = -4*r. Let w(y) = -y + 6 + 3*y - 3. What are the prime factors of w(r)?
3
Let d(n) = n**2 + 6*n + 4. Let x be d(-6). Suppose -x*m = m - 25. Suppose -m*t - 4 + 39 = 0. List the prime factors of t.
7
Let r(b) = -2*b**2 - 2*b + 3. Let n be r(2). Let s(v) = v**2 + 7*v + 9. What are the prime factors of s(n)?
3
Let l be (0 - 1) + (-4 - 4). What are the prime factors of -69*3/l - -3?
2, 13
Let v(t) = t**3 - 5*t**2 - 13*t + 1. List the prime factors of v(8).
89
Let l(k) = -2*k + k**3 - k**2 - 4 + 0 - 3*k**2. Suppose 2*b = 7*b - 25. List the prime factors of l(b).
11
Let i(a) = a - 10. Let z be i(15). Suppose -z*j - 3*m - 61 = -231, -5*m - 130 = -5*j. What are the prime factors of j?
31
Suppose 2*t = 3*d, 4*t + d = 3*t. Let i = t + 36. What are the prime factors of i?
2, 3
Suppose 2*z - 109 = -5*b - 0*z, z - 2 = 0. What are the prime factors of b?
3, 7
Let v = 278 - 66. What are the prime factors of v?
2, 53
Let l(n) = 3*n - 2. Let d be l(-4). Suppose -8*a + 6*a = -48. Let o = d + a. List the prime factors of o.
2, 5
Suppose 7*d + 411 = 10*d. What are the prime factors of d?
137
Suppose 2 - 11 = 3*z. Let v = z + 11. Let n = v + -5. List the prime factors of n.
3
Let f = 10 + 2. Let k = -6 + f. What are the prime factors of k?
2, 3
Let u(n) = 167*n**3 - 2*n**2 + 2*n. List the prime factors of u(1).
167
Suppose -502 = -8*p - 22. List the prime factors of p.
2, 3, 5
Let c be (3/9 - 0)*6. Suppose t = 2*t - c. List the prime factors of t.
2
Let k(v) = v**2 + 4*v - 4. Let d be k(-5). Let f = d - 10. Let q = 18 + f. List the prime factors of q.
3
Suppose 2*r = -3*r + 5*b + 95, 4*r + 5*b = 94. List the prime factors of r.
3, 7
Suppose 4*o = 3*o + 44. What are the prime factors of o?
2, 11
Let b(t) = -t**3 - 5*t**2 - 6*t - 6. Let a be -2 - 3 - 0/(-2). Let m be b(a). Suppose m = 2*g + 10. What are the prime factors of g?
7
Suppose -50 = -c + 5*d + 50, 5*c - 5*d - 540 = 0. Suppose 4*g = 5*s - c, 0 = -4*s - 3*g + 69 + 50. Suppose 0 = -x + 3*x - s. List the prime factors of x.
13
Let q = 12 + -6. Let c = -3 + q. List the prime factors of c.
3
List the prime factors of (-4*(-12)/80)/((-2)/(-370)).
3, 37
Suppose -3*f = 2*f - 185. List the prime factors of f.
37
Let s(n) = -n**2 - 5*n - 6. Let o be s(-4). List the prime factors of o/(-8) - 217/(-28).
2
Let n = -6 - -8. Suppose -16 = -6*t + 8. Suppose 0 = 2*a - n - t. List the prime factors of a.
3
Suppose 46 + 11 = o. List the prime factors of o.
3, 19
Let n(v) = 2*v**2 + 4*v - 5. What are the prime factors of n(3)?
5
What are the prime factors of -3 - (-1445)/20 - (-2)/(-8)?
3, 23
Suppose 5*l = -0*l - 2*d + 16, 4*d = 12. List the prime factors of l.
2
Suppose -227 + 31 = -4*x. List the prime factors of x.
7
Let g(m) = 2*m**2 - 3*m - 2. Let z be g(3). Let j(p) = -p**2 - z*p - p**3 + 8*p**2 + 2*p + 5. List the prime factors of j(6).
11
Let a be 4 + (-1 - (0 + -1)). List the prime factors of (-2 + a)/(2/3).
3
Let d(o) = 4*o**3 - o**2 - 4. What are the prime factors of d(3)?
5, 19
Suppose -3*n + 104 + 148 = 0. Suppose 2*q - n = -2*q. Suppose 37 = 5*h + 4*k, -2*k + q = 3*h - 0*k. What are the prime factors of h?
5
Suppose 4*o - 2*o = 0. Suppose o = -4*f - 5*t, -t + 12 = -4*t. What are the prime factors of f?
5
Let k(n) = -3*n + 24. Let h be k(10). Let f = 5 + -9. Let p = f - h. What are the prime factors of p?
2
Suppose -40 = -r + 14. What are the prime factors of r?
2, 3
Let p(l) = 6*l + 13. What are the prime factors of p(4)?
37
Suppose -3*h + 0*a + 7 = a, 0 = 5*h - 2*a - 30. Suppose h*l - 32 = -4*v, -4*v - l - 7 = -27. What are the prime factors of v?
2
Suppose 1 = -3*v - 2. Let t = v + 1. Let b = t + 11. List the prime factors of b.
11
Let z(k) = 2*k**3 - 7*k**2 - 3*k + 1. Let h(u) = -u - 1 + 2 - 6*u**2 - u + u**3. Let g(v) = -3*h(v) + 2*z(v). What are the prime factors of g(-3)?
2
Let n be 24 + (-1 - (2 - -1)). Suppose -4*x + n + 24 = 0. What are the prime factors of x?
11
Suppose 2*h - 2*x = 0, -4*h - h - 2*x = -35. Suppose 5*j - 30 = -b, 4*j + 4*b = -b + 3. Suppose j = 6*t - h*t. List the prime factors of t.
7
Let s = 0 - -2. Suppose 3*g + 0*u = 2*u + 34, -6 = -g + s*u. Suppose -t + g = 1. List the prime factors of t.
13
Let h = 1 + 3. Suppose 2*d - 116 = -2*d - 2*f, -4*f - 128 = -h*d. Let j = d + -7. What are the prime factors of j?
23
Let k be ((-8)/(-12))/((-2)/(-3)). List the prime factors of (k + -2)*(3 + -15).
2, 3
Let j(a) = -4*a - 7. List the prime factors of j(-14).
7
Let g(b) = 2*b**2 - 2*b. Let i(u) = -2*u - 10. Let l be i(-7). Let n be g(l). Let f = n + -16. What are the prime factors of f?
2
Let x = 5 - 2. Let p = 16 - x. Let y = p - 5. List the prime factors of y.
2
Suppose -2 = -h - h, -2*q + 116 = -2*h. What are the prime factors of q?
59
Let s(r) = -r**2 + 4*r + 7. Let u be s(5). Let y(g) = 2*g**3 - 3*g**2 + 3*g - 3. What are the prime factors of y(u)?
7
Let x(j) be the first derivative of 8*j**3/3 + j**2/2 + j + 3. List the prime factors of x(-1).
2
Let a(v) = -v**3 - 5*v**2 - v - 3. Let b be a(-5). Let x(s) = 2*s + 2. What are the prime factors of x(b)?
2, 3
Suppose -4*o - 2*t + 101 = -7*t, o = -4*t + 41. What are the prime factors of o?
29
Let f = 162 - 77. What are the prime factors of f?
5, 17
List the prime factors of (-5 - 686/4)*(2 - 4).
353
Let r = -14 + 24. Let d = r + 1. What are the prime factors of d?
11
Suppose -5*u + 659 + 241 = 0. What are the prime factors of u?
2, 3, 5
Suppose 3*d + 5*s = 2*s + 114, -4*d - 5*s = -151. What are the prime factors of d?
3, 13
Suppose g = w - 18, g = -w + 11 + 1. What are the prime factors of w?
3, 5
Let d(z) be the third derivative of z**5/60 + 5*z**4/12 + 2*z**3/3 + 2*z**2. Let b be d(-10). Suppose n - b - 13 = 0. List the prime factors of n.
17
Suppose 4*u + p = 0, 0 = -4*p + 6 - 22. What are the prime factors of (u - -1)*19/2?
19
Suppose -2*m = -10, 0*q - 14 = 3*q - m. What are the prime factors of (-2)/q*(22 - -2)?
2
Suppose 0*i = 2*i + 2, -2*q + i + 215 = 0. List the prime factors of q.
107
Suppose -5*j - 191 = -4*h, 0 = j + j - 10. Suppose 3*g - 6*g = -h. Suppose -3*d + 9 = -a, -4*a = -8*d + 5*d + g. List the prime factors of d.
2
Let i = -14 - -165. List the prime factors of i.
151
Let c(g) = -10*g + 2. Let h(m) = 10*m - 2. Let i(f) = -7*c(f) - 6*h(f). What are the prime factors of i(2)?
2, 3
Let i be (-1)/(129/63 - 2). Let q = i + 34. What are the prime factors of q?
13
Let h = 83 + -17. List the prime factors of h.
2, 3, 11
Suppose 0 = -2*q - 46 + 4. List the prime factors of (-7)/(q/6) + 8.
2, 5
Suppose -5*o + 2*s = -7*o + 366, -3*s + 366 = 2*o. List the prime factors of o.
3, 61
Let w = -92 - -193. List the prime factors of w.
101
Let o be (-2)/3 - 4/(-6). Let v(t) = -t + 3. Let q be v(-5). Let r = o + q. What are the prime factors of r?
2
Let t(x) = x**3 + 3*x**2 - x + 1. Let a be t(-4). Let u = a - -24. List the prime factors of u.
13
Let x = -18 - -53. List the prime factors of x.
5, 7
Let a = -44 - -102. What are the prime factors of a?
2, 29
Suppose -y - 3 = -7. Suppose y*x - 10 = 2*x. What are the pri
|
{
"pile_set_name": "DM Mathematics"
}
|
m + 6.1. Let r = -0.4 - h. Put 2, r, 2/3 in ascending order.
r, 2/3, 2
Let t = -7.2 + 7. Sort 0.1, t, 1/2 in increasing order.
t, 0.1, 1/2
Let c be -2*1 - 0 - -4. Suppose -35*z = -26*z + 45. Sort 1, c, z in ascending order.
z, 1, c
Let j = 0.1 - 3.1. Suppose 2*i = u + 8, 10 = 2*i - 3*u - 2. Let t be (i/2)/(9/(-12)). Sort t, j, -1/3 in decreasing order.
-1/3, t, j
Suppose -4*z = 2*x + 4 + 14, -z + 1 = -5*x. Suppose 0 = -5*l - 0*l - 5. Put z, l, 0 in ascending order.
z, l, 0
Let k = -6/29 - 16/203. Let b = -7243/21 + 345. Put -2, k, b in increasing order.
-2, k, b
Suppose 0*r + r = 5. Sort 4/5, -2, -1, r in increasing order.
-2, -1, 4/5, r
Let y be 114/8 - (-2)/(-8). Suppose 3*z - 3*s = 6 + 15, z + 5*s + 23 = 0. Let l be -2*(-12)/y - z. Sort l, -4/3, 3 in increasing order.
-4/3, l, 3
Let m = -0.3 + 1.3. Suppose -o = 4*o. Suppose -4*r + o*j = -2*j - 10, 10 = -3*r - 2*j. Sort m, r, 2/7 in decreasing order.
m, 2/7, r
Let b be (1 - 0)/(5/5). Let k be b/2*(-4)/(-6). Sort 2/11, k, -3 in decreasing order.
k, 2/11, -3
Suppose -12*b - 15 = -17*b. Sort -5, -3, -2, b in increasing order.
-5, -3, -2, b
Let l = 1.1 + -0.4. Let b = l - 0.4. Let r be ((-1)/(-3))/(14/18). Sort r, 3, b in decreasing order.
3, r, b
Let s be (-3 + 202/66)*-3. Sort s, -0.1, 6 in ascending order.
s, -0.1, 6
Let v(t) = -t**3 + 3*t**2 - 2*t - 3. Let d be v(3). Let n be (d/(-6))/(0 - -6). Put 3, n, 1/2 in increasing order.
n, 1/2, 3
Let d be -2*(-12)/(-16)*-2. Sort -2, -3, d.
-3, -2, d
Let d = 1 + -4. Let w = d + 0. Let c = 4.5 + -5. Sort -2/3, w, c in increasing order.
w, -2/3, c
Let t(l) = l**2 + 7*l + 9. Let c be t(-5). Let p = -0.4 + 0.7. Let d = p + -0.8. Sort 4, c, d in decreasing order.
4, d, c
Let r be 21/63*(-9)/(-1). Sort 0.3, -1/6, 2, r in decreasing order.
r, 2, 0.3, -1/6
Let w = -49/69 - -1/23. Sort w, -4/5, 1/5 in decreasing order.
1/5, w, -4/5
Let q = -0.15 + 7.15. Let f = q - 4. Let w(z) = -2*z**2 - 3*z + 5. Let o be w(-3). Put f, o, -2/5 in decreasing order.
f, -2/5, o
Let y = -1/65 - -133/195. Let w = 0.02 - 0.08. Put w, 0.2, y in descending order.
y, 0.2, w
Let q be -2 + -3 + -1 + 4. Let a(r) = r + 1. Let s be a(q). Sort s, 2, -5.
-5, s, 2
Let c = -43.8 + 165.2. Let d = -111 + c. Let p = 10 - d. Sort p, 0.3, -3 in decreasing order.
0.3, p, -3
Let x(m) = -m**3 - 5*m**2 - 2*m - 8. Let b be x(-6). Let q be (-24)/b - 2/5. Sort 3, 2, q.
q, 2, 3
Suppose 0 = -q + 4*q. Put q, 5, -5 in ascending order.
-5, q, 5
Let c = -20 - -16. Sort 0.2, c, 6.
c, 0.2, 6
Suppose -13 = 2*m - 3*h, 25 = -4*m + 2*h + 3*h. Sort 4, -1, m in descending order.
4, -1, m
Let w(f) = -f**2 - 6*f + 2. Let b(r) = -r**2 + 12*r - 6. Let m be b(12). Let n be w(m). Sort -1, n, 3 in decreasing order.
3, n, -1
Suppose 1055 = -3*n - 2*n. Let w = 1901/9 + n. Put w, 3, 5 in decreasing order.
5, 3, w
Let n = 37/18 + -5/9. Sort -1/9, n, 5 in ascending order.
-1/9, n, 5
Suppose 5*w = 0, -12 = -3*k + 7*w - 2*w. Suppose -2*d = t - 3, 0*t + 21 = -3*t + k*d. Suppose 0 - 2 = -2*a. Sort t, -5, a in descending order.
a, t, -5
Let p(s) = -s**3 - 17*s**2 + 16*s - 25. Let k be p(-18). Let w(x) = x + 1. Let d be w(-6). Put -2, d, k in descending order.
k, -2, d
Let v = 0.59 - 0.9. Let z = v + 0.62. Let r = z + -0.01. Put r, 5, 4 in increasing order.
r, 4, 5
Let b be ((-7)/28)/((-1)/20). Let g be (b - 4)/(1/(-3)). Put 1, g, 3 in decreasing order.
3, 1, g
Let i = -1 + -2. Let f(n) = n**2 + 4*n + 2. Let d be f(-4). Suppose d*z + 6 = 4*c - 3*c, -5*c - z = 25. Put c, -1, i in increasing order.
c, i, -1
Let z = -42 - -28. Suppose -2*p - 45 = 3*p. Let w = z - p. Sort 4, w, -3 in increasing order.
w, -3, 4
Let b = -10/3 + 3. Put -2, b, 2/3 in descending order.
2/3, b, -2
Suppose 0 = n - 6*n - 40. Let o = n + 5. Put 4, 0, o in decreasing order.
4, 0, o
Let o = 3 - 0. Suppose 0 = 2*t + t - o. Suppose -20 = 3*a + 2*a. Sort 5, t, a in increasing order.
a, t, 5
Let y = 14.2 - 13. Let l = y + -1. Let u = 5 - 7. Put -3, u, l in ascending order.
-3, u, l
Let l = 0.3 + -0.1. Let y = l - -0.3. Let i = -2.73 - 2.27. Sort -0.2, y, i in decreasing order.
y, -0.2, i
Let x = 5 - 2. Let f = 21.1 + -24. Let g = f + x. Put 2, g, 1/6 in decreasing order.
2, 1/6, g
Suppose 2*j + 5 = -3*j. Let f be 10/(-65) + 72/(-39). Put 0, f, j in descending order.
0, j, f
Let b(m) = -m**2 - 6*m - 5. Let a be b(-6). Let r = -2 - a. Sort r, -1, 4 in descending order.
4, r, -1
Let n be (-1)/(-4) - 7/12. Let v = 7 + -7.1. Let g = v + -0.4. Put n, g, 0.5 in increasing order.
g, n, 0.5
Let v = 24.35 - 33.4. Let y = -9 - v. Let m = -0.05 + y. Sort m, -1, 3 in descending order.
3, m, -1
Let p = -6 - -1. Let q = -4 + 4.32. Let n = 0.02 - q. Sort p, n, 3/7 in decreasing order.
3/7, n, p
Suppose l = -2*x - 3, 2*l - 4*l = -10. Put -2, x, 14, 3 in increasing order.
x, -2, 3, 14
Let d = 3 - -2. Sort 0, d, 4 in descending order.
d, 4, 0
Let a = 50.1 + -50. Sort a, -2/7, -1 in decreasing order.
a, -2/7, -1
Let r be (-2)/2 + 2 - 2. Let l = 12 - 20. Let p = -6 - l. Put p, r, 5 in descending order.
5, p, r
Let f = 45 + -41. Put 1/13, -1/6, f in descending order.
f, 1/13, -1/6
Let t be (-3)/(-1) + -1 + 1. Suppose -t*d = -6*d + 15. Let x be 3/15 - (-5)/(-25). Put d, x, 3 in ascending order.
x, 3, d
Let i be -1*(1 - 1*-6). Suppose -65*m - 12 = -61*m. Sort i, m, 4.
i, m, 4
Let q = -1.94 - -2. Let r = q + 4.94. Let j = r + -10. Sort j, 0.2, -1/5 in ascending order.
j, -1/5, 0.2
Let n(r) = 9*r**3 - r**2 + 2*r - 1. Let d be n(1). Let o be 4 + (d/(-1))/3. Sort o, 0, -4 in decreasing order.
o, 0, -4
Let i(y) = 2*y + 8. Let o be i(-4). Put o, -4, -1 in descending order.
o, -1, -4
Let m be (-9 - (-33)/4)/(1/4). Sort 0, -14, m in ascending order.
-14, m, 0
Let w = 44 + -46. Suppose -17 = 5*p - 2. Sort w, 3, p.
p, w, 3
Suppose -3 = -2*b + 5. Sort 5, b, 0 in decreasing order.
5, b, 0
Let c be (-2)/(-6) + 182/(-42). Sort -8, c, 1.
-8, c, 1
Let t = 0.4 + -0.3. Let p = 12 - 9. Let v be (p/(-2))/(1 - 5). Sort t, v, -0.3 in ascending order.
-0.3, t, v
Let c(d) = 2*d - 12. Let b be c(8). Suppose 9*v - 25 = b*v. Put -4, v, 1 in increasing order.
-4, 1, v
Suppose -4*v + 7*v + 2*d - 13 = 0, -2*v + d + 11 = 0. Let l(w) = w + 6. Let b be l(-5). Sort -2, b, v in ascending order.
-2, b, v
Let s be (-6)/4*(-14)/(-3). Let w = s - -4. Sort 1, w, -1 in increasing order.
w, -1, 1
Let l(o) = 2*o + 6. Let g be l(-4). Let f = 3 - 6. Let p = f + -1. Sort -3, g, p.
p, -3, g
Let l(t) = t**2 + 4*t + 3. Let o be l(-4). Let u be (-1 + o/(-6))/6. Put u, 1/5, 0 in decreasing order.
1/5, 0, u
Suppose 14*u - 11*u = 15. Sort -3, 2, u.
-3, 2, u
Let i = 11 + -14. Let r = 0 + i. Put r, 0.04, -1/5 in decreasing order.
0.04, -1/5, r
Suppose 0 = 2*f - 1 - 3. Suppose 5*m = -5*t - 40, -t - 4*m = -5*t. Let i = t - -4. Sort i, f, 3.
i, f, 3
Suppose 0 = -c - 0*c. Let m = c + 0. Let p be (4/(-8))/((-1)/10). Sort m, p, -5 in descending order.
p, m, -5
Let l = 1 - -2. Let v(n) = 2*n - 18. Let u be v(9). Sort -4, l, u in decreasing order.
l, u, -4
Let t(l) = l**3 - 4*l**2 - l - 3. Let c(p) = -p**2. Let u(g) = 2*c(g) - t(g). Let s be u(3). Suppose 2*i - 3*i + 4 = 0. Sort s, 1, i in decreasing order.
i, 1, s
Suppose 23 - 8 = 3*s. Put 1/4, -2, s in descending order.
s, 1/4, -2
Let x = 1.2 - 1.1. Let l = -1/5 + -3/10. Put l, x, 5 in descending order.
5, x, l
Let q be ((-2)/(-5))/((-2)/10). Sort 5, q, 3 in ascending order.
q, 3, 5
Let s = -149 - -895/6. Let i = -0.24 - -12.24. Sort i, s, -0.5 in increasing order.
-0.5, s, i
Let c = 25 + -20. Put -2, -1, c in descending order.
c, -1, -2
Let g = 26 - 288/11. Let t = 1 + -3. Let k = t + 2. Put g, k, 3 in ascending order.
g, k, 3
Let d be 0/3 - (1 + -2). Let x be 2/(-15) - (-141)/45. Put x, -3, d in decreasing order.
x, d, -3
Let i = 16 + -15. Put -0.2, -5, i in decreasing order.
i, -0.2, -5
Suppose 5*r = 2*r - 15, 8 = 2*h - 2*r. Sort -3, h, 3 in ascending order.
-3, h, 3
Let j = -0.01 - 0.09. Let x = 1/18 + -5/9. Sort 0.3, x, j in increasing order.
x, j, 0.3
Let o = 0.03 - 0.33. Let b = 2 + 2. Sort -2/3, b, o in descending order.
b, o, -2/3
Suppose 2*r - k = 3*r, 0 = 4*r + k - 6. Suppose -f - f + r = 0. Sort f, 3, 0.1.
0.1, f, 3
Suppose 0 = -4*c - 0*r + r - 7, 3*r - 12 = 3*c. Let v be (-2)/(-7) + 14/(-49). Sort c, v, 2 in ascending order.
c, v, 2
Let q = -0.02 + 0.22. Let b = -35.5 - -35. Sort b, 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
17 for k.
97
Solve 183219*o + 12788 = 183497*o for o.
46
Solve -9628 - 3819 - 26489 = -384*t for t.
104
Solve -2579*t = -2549*t - 2400 for t.
80
Solve -27552*j = -27401*j - 1208 for j.
8
Solve -1118 = 13455*x - 13481*x for x.
43
Solve -124*y + 2093 = 192*y - 17*y for y.
7
Solve -251*i = -6*i - 7228*i - 523725 for i.
-75
Solve -7282*f - 1228862 = 5885*f - 94*f for f.
-94
Solve 816*x - 4257*x = 1975*x - 492856 for x.
91
Solve -2674*g - 1545 = 2233*g - 2686 - 3766 for g.
1
Solve 164*f - 181840 = -188072 for f.
-38
Solve -43*i - 373 + 1108 = -i - 903 for i.
39
Solve 0 = 2146464*s - 2146003*s + 29043 for s.
-63
Solve 33*p + 6992 = -188*p - 3837 for p.
-49
Solve -47275 = 3892*g - 3117*g for g.
-61
Solve -8357*q - 3321*q + 777294 = 660*q for q.
63
Solve -102*w = 114 - 1950 for w.
18
Solve 4968970 = 342*g + 4969654 for g.
-2
Solve 4313*u = 602*u + 159510 - 14781 for u.
39
Solve 1094*y - 77*y + 508*y - 118*y = 144921 for y.
103
Solve 88*a + 305 - 396 - 1438 = 319 for a.
21
Solve -172*x + 9*x = -77*x for x.
0
Solve 98740961*c - 98740851*c = -2640 for c.
-24
Solve 813*w + 1241*w = -911*w + 41510 for w.
14
Solve 403*g + 10653 = -10706 for g.
-53
Solve 605*w - 76358 = -334*w - 99*w + 25366 for w.
98
Solve 620*l = -494*l + 73524 for l.
66
Solve 0 = 71043*j - 142817*j + 71404*j + 42920 for j.
116
Solve 0 = 112*b + 628 - 649 + 3269 for b.
-29
Solve 67520*w = 67586*w + 3630 for w.
-55
Solve 98*u - 368*u + 58764 = 228*u for u.
118
Solve -656*f - 244*f + 261*f + 49842 = 0 for f.
78
Solve 5071 = -1587*p - 26669 for p.
-20
Solve 0*b - 50*b - 1174 = 10*b + 4106 for b.
-88
Solve 1564 + 1912 - 344 + 1523 = -35*p for p.
-133
Solve 186*p + 1728 = -165*p + 315*p for p.
-48
Solve 9799*q = 17738*q + 103207 for q.
-13
Solve 36*j = 122915 - 123923 for j.
-28
Solve -361*x = -50*x - 1869 + 15242 for x.
-43
Solve -2834*p - 70*p = -133584 for p.
46
Solve 2020*s = -131*s + 295391 - 56630 for s.
111
Solve -2373 = -219*x + 714*x + 1589*x - 89901 for x.
42
Solve 431 + 1428 = -320*c - 13501 for c.
-48
Solve 1820*l = 826*l + 869*l + 6375 for l.
51
Solve -417*y + 9519 - 39607 - 12029 = 0 for y.
-101
Solve 0 = 106*f - 8339 + 9399 for f.
-10
Solve 568 + 137 = 1055*j + 306*j + 3427 for j.
-2
Solve 242*g + 3965 = -102*g + 5341 for g.
4
Solve -180*p - 13*p + 9880 = 11*p - 14*p for p.
52
Solve 545*t + 23956 + 19207 = -22989 + 23097 for t.
-79
Solve -1448002*h - 6458 - 2398 = -1448084*h for h.
108
Solve -13188*b = -13350*b + 3564 for b.
22
Solve -29*a + 2339 + 780 + 966 = -72*a for a.
-95
Solve 0 = 2415*j + 435134 - 396494 for j.
-16
Solve 0 = 147*s + 165304 - 157954 for s.
-50
Solve 0 = -64*k - 235 - 222 - 183 for k.
-10
Solve -18*v + 57*v + 71 = 1007 for v.
24
Solve -6485*y + 6754*y + 517 - 2938 = 0 for y.
9
Solve -3849*m - 2895*m = -141982 - 53594 for m.
29
Solve -277*s + 624*s = 307*s - 1240 for s.
-31
Solve 53*z + 47541 = 1085*z - 135*z for z.
53
Solve 6656 = -733*g + 477*g for g.
-26
Solve 19*s + 507 + 282 = 257 for s.
-28
Solve 388*o - 771*o + 11107 = 0 for o.
29
Solve -335*z + 771 = -74*z + 4338 + 2958 for z.
-25
Solve 277*v + 22*v + 102*v + 8421 = 0 for v.
-21
Solve -519*a - 3*a + 17714 + 4210 = 0 for a.
42
Solve 25123*u + 800 = 25103*u for u.
-40
Solve 118 = -1060*f + 1102*f + 1966 for f.
-44
Solve -1016*a - 123*a - 512*a - 236*a = 96237 for a.
-51
Solve -28630 = -152843*f + 152025*f for f.
35
Solve -142528 = 7892*d - 472 for d.
-18
Solve 164*g - 20397 = -140*g + 105*g - 324*g for g.
39
Solve 329 + 251 = 30*v + 43*v + 3865 for v.
-45
Solve -117*k - 1355 = -14*k + 1813 + 231 for k.
-33
Solve -93834 + 93356 = 2671*z - 182106 for z.
68
Solve 18612 = 22007*j - 21584*j for j.
44
Solve 51*x - 118*x - 2150 = -139*x + 1018 for x.
44
Solve 317*m + 282153 = 283104 for m.
3
Solve 1762*r + 24457 + 63643 = 0 for r.
-50
Solve -1380*t = 34967 + 24146 - 14953 for t.
-32
Solve 302*m = -1134*m + 5299 + 17677 for m.
16
Solve 3917 + 3649 + 1584 = 915*h for h.
10
Solve 0 = -17247926*o + 17247901*o + 1975 for o.
79
Solve 0 = -148311*n + 149128*n + 58824 for n.
-72
Solve -195*f - 3788 = -57*f + 1792 + 5598 for f.
-81
Solve 8193 - 2952 = 915*h - 10314 for h.
17
Solve 0 = -35964*v + 35998*v - 1326 for v.
39
Solve 426 = -23*u - u + 5*u - 638 for u.
-56
Solve -446*p - 14305 - 8949 = 11980 for p.
-79
Solve -177*a = 219 + 18720 for a.
-107
Solve -679*l - 995*l + 10044 = 0 for l.
6
Solve 278*v + 133*v = 30257 + 4267 for v.
84
Solve 16543*j + 1807188 = 317122 - 610895 for j.
-127
Solve -69*y + 3085 + 3803 = -336*y + 1548 for y.
-20
Solve 578 = 36*r - 94*r + 22*r + 19*r for r.
-34
Solve 115*m = -6*m - 56*m - 5336 - 4753 for m.
-57
Solve 103*z - 284*z = 190*z + 170*z - 59510 for z.
110
Solve 44*n - 292*n - 2611 - 6451 + 630 = 0 for n.
-34
Solve -182*b - 258*b - 168*b = 1957 - 7429 for b.
9
Solve 70*k - 41*k - 23*k = 29*k + 276 for k.
-12
Solve -484*a = -495*a - 946 for a.
-86
Solve -78*m - 16*m - 10332 = 79*m - 3758 for m.
-38
Solve 31 + 3303 + 1095 = 150*w - 47*w for w.
43
Solve -1023*l - 10996*l - 531596 + 936264 = -953479 for l.
113
Solve 1623*g + 111491 + 47955 = 37721 for g.
-75
Solve -55*w + 1824 = -1873 + 562 for w.
57
Solve 433*z - 247*z - 3502 - 4660 = 263*z for z.
-106
Solve 325*b - 7758213 = -7784863 for b.
-82
Solve -9*n + 344141 = -68*n + 339480 for n.
-79
Solve -181*g - 7059 = -8507 for g.
8
Solve -2293*q + 1870*q - 2299*q - 981*q + 129605 = 0 for q.
35
Solve -151*f = -520*f + 144*f + 17775 for f.
79
Solve -10304*i - 314768 = -553931 - 389381 for i.
61
Solve 1491*m - 775*m - 754*m + 1520 = 0 for m.
40
Solve 19*d - 17*d + 22*d - 550 = 2*d for d.
25
Solve 100*b - 1186*b + 39518 - 1936 = 892*b for b.
19
Solve 0 = -785*o + 20512 - 27577 for o.
-9
Solve 1636*j - 37143 = -2574*j + 123787 + 87460 for j.
59
Solve 42*l - 3*l + 760 = -l for l.
-19
Solve 193*d + 4781 = -3439 - 5760 + 2979 for d.
-57
Solve -175*d - 2235 = -4337 + 2977 for d.
-5
Solve -1704*x + 86356 - 11256 = 2147*x - 847*x for x.
25
Solve 0 = 34*c - 80*c + 1054*c + 36288 for c.
-36
Solve 57*s = 69*s + 142*s + 235*s - 44346 for s.
114
Solve -1189*f = -3702*f + 103033 for f.
41
Solve -67*w + 869 = -2679 + 265 for w.
49
Solve -7204*p = -3591*p - 3570*p - 688 for p.
16
Solve 2381*u - 977 = 13309 for u.
6
Solve 132*d - 213*d + 15705 = 268*d for d.
45
Solve -304*v - 117294 = -103006 for v.
-47
Solve -15992*y + 13254*y - 262848 = 0 for y.
-96
Solve -86*l - 35*l = 99*l - 3960 for l.
18
Solve 1232*h - 152*h - 22230 = -90*h for h.
19
Solve -607*f - 1161 - 20691 = 0 for f.
-36
Solve -30500 = -5059*c + 4449*c for c.
50
Solve -48810 = 980*h + 59193 - 24703 for h.
-85
Solve 680 = -71*h + 51*h for h.
-34
Solve 24742 = 476*o + 3798 for o.
44
Solve 8410*q = 7220*q - 138040 for q.
-116
Solve -12631 = 229*k + 5776 + 1287 for k.
-86
Solve -105*z - 3800 = -29*z + 76*z for z.
-25
Solve -142*s - 19044 = -476*s - 80*s for s.
46
Solve 1428*y - 28790 = -13192 + 30466 - 7508 for y.
27
Solve 36*k + 17*k = 33*k + 1040 for k.
52
Solve 120*x = -13*x - 521 + 2516 for x.
15
Solve 29004 = -58*u + 470*u + 10052 for u.
46
Solve 165*d - 12693 + 2331 = 2838 for d.
80
Solve 12188 = -105*l - 2443*l - 56608 for l.
-27
Solve 525*l + 9*l = -2670 for l.
-5
Solve -1493*v + 70122 = 918*v - 50428 for v.
50
Solve -9240 = -315760*x + 315540*x for x.
42
Solve 1012*y + 13636 = -532 for y.
-14
Solve 4147*h - 196602 = 5466*h + 8043*h for h.
-21
Solve -53825 = 38*c - 54091 for c.
7
Solve 100*b + 20*b + 13317 = -48*b - 25*b for b.
-69
Solve -1637*p - 14549 + 76755 = 0 for p.
38
Solve -849*g = 1558*g + 2077*g + 102286 + 54654 for g.
-35
Solve 18*d - 43*d + 49*d + 24*d = 960 for d.
20
Solve -1974*c - 86 = -1476*c + 31288 for c.
-63
Solve 2940*a - 387*a - 101024 = -9116 for a.
36
Solve 8*b - 1342 - 1341 = 7*b - 2686 for b.
-3
Solve -443*q - 8211 = -123*q + 37*q for q.
-23
Solve -2547*i = 1469*i + 172688 for i.
-43
Solve -228524 = -7688*s + 2116 for s.
30
Solve 1148*t - 64320 = -2587*t - 285*t for t.
16
Solve 7248*a - 5415*a + 97122 = -78846 for a.
-96
Solve 133712 + 301962 = -3085*h - 3942*h for h.
-62
Solve -19*c - 5686 = 167*c - 152 + 1720 for c.
-39
Solve 1376*q = -1013*q + 27210 + 37293 for q.
27
Solve -3796 = -57*z - 455*z + 3884 for z.
15
Solve 31*v - 1822 - 247 = -240 for v.
59
Solve -496*w + 4219 - 24555 = 0 for w.
-41
Solve 849*c + 14640 = -77853 + 3348 for c.
-105
Solve 15*x = 8513908 -
|
{
"pile_set_name": "DM Mathematics"
}
|
3, x: 2, h: 6, v: 4}?
2/273
Calculate prob of sequence jww when three letters picked without replacement from {j: 10, w: 10}.
5/38
Four letters picked without replacement from zqvzpqqbcqpbzpq. What is prob of sequence bcbv?
1/16380
What is prob of sequence gg when two letters picked without replacement from gotgogs?
1/7
What is prob of sequence vvvv when four letters picked without replacement from {v: 10}?
1
Calculate prob of sequence pppp when four letters picked without replacement from {p: 10}.
1
Two letters picked without replacement from {s: 1, o: 2, f: 2, w: 4, n: 1}. Give prob of sequence ff.
1/45
Three letters picked without replacement from naanan. Give prob of sequence ana.
3/20
Calculate prob of sequence eia when three letters picked without replacement from zuiaake.
1/105
Four letters picked without replacement from vxmccmummmcvmx. Give prob of sequence ucmm.
15/4004
What is prob of sequence cvl when three letters picked without replacement from lltvcvlwwtllmtlcvwv?
8/969
Calculate prob of sequence rnmt when four letters picked without replacement from nrrmtrtntntrriinti.
5/3672
Three letters picked without replacement from {a: 6, g: 1, o: 4, f: 2}. Give prob of sequence oaf.
4/143
Calculate prob of sequence caay when four letters picked without replacement from aynttnnanc.
1/2520
Calculate prob of sequence uguu when four letters picked without replacement from {u: 3, p: 2, g: 8, y: 3}.
1/910
Four letters picked without replacement from {u: 6, x: 2}. Give prob of sequence uuxx.
1/28
What is prob of sequence nqq when three letters picked without replacement from nqnnnnnqnqqqnqnqqnq?
40/323
Calculate prob of sequence yc when two letters picked without replacement from ycttcctcy.
1/9
Calculate prob of sequence qd when two letters picked without replacement from aqaiqqqaqdqt.
1/22
Two letters picked without replacement from {t: 1, l: 2, a: 4}. What is prob of sequence lt?
1/21
Four letters picked without replacement from {n: 1, y: 3, f: 1, b: 3, d: 1, x: 11}. Give prob of sequence nbfd.
1/38760
Four letters picked without replacement from ittttqcix. What is prob of sequence tqic?
1/378
Four letters picked without replacement from {v: 3, k: 1, m: 6, w: 3, q: 2}. Give prob of sequence wmkq.
1/910
Calculate prob of sequence iiio when four letters picked without replacement from iiiiioiiiioiiiiih.
13/170
What is prob of sequence fff when three letters picked without replacement from ffffffffff?
1
What is prob of sequence eqqe when four letters picked without replacement from {q: 5, e: 3}?
1/14
Three letters picked without replacement from {q: 3, u: 2, m: 7}. What is prob of sequence muu?
7/660
What is prob of sequence cae when three letters picked without replacement from {a: 3, h: 1, c: 2, e: 2, f: 3, i: 7}?
1/408
What is prob of sequence qsqp when four letters picked without replacement from sqtpqtttwtwt?
1/5940
What is prob of sequence jitj when four letters picked without replacement from {d: 2, i: 1, g: 2, t: 1, j: 4}?
1/420
Two letters picked without replacement from etllxxtqttxexdt. What is prob of sequence td?
1/42
Calculate prob of sequence mddx when four letters picked without replacement from mdxxddx.
3/140
Three letters picked without replacement from hiohooozhzozoxohxoh. What is prob of sequence xzi?
1/969
Two letters picked without replacement from {i: 6, x: 1, g: 3, h: 5}. Give prob of sequence hh.
2/21
Two letters picked without replacement from {y: 4, f: 1, k: 6}. What is prob of sequence kf?
3/55
Calculate prob of sequence iz when two letters picked without replacement from {i: 2, b: 1, k: 3, l: 2, z: 3, u: 3}.
3/91
Three letters picked without replacement from {h: 2, t: 1, k: 1, c: 2}. Give prob of sequence tch.
1/30
Calculate prob of sequence gxgg when four letters picked without replacement from {g: 4, y: 1, x: 9}.
9/1001
What is prob of sequence sj when two letters picked without replacement from njajsntttstsjs?
6/91
What is prob of sequence vvvx when four letters picked without replacement from cvxvvxvccvxvcvcx?
1/52
What is prob of sequence ljjj when four letters picked without replacement from {l: 1, j: 4, q: 5, a: 3}?
1/715
Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhhhhh.
1
Three letters picked without replacement from {l: 6, j: 1, q: 1, n: 8, u: 2}. What is prob of sequence uju?
1/2448
What is prob of sequence maee when four letters picked without replacement from emxxeueamemeumemeexa?
14/2907
What is prob of sequence aaag when four letters picked without replacement from {g: 3, a: 9}?
7/55
What is prob of sequence ee when two letters picked without replacement from jejeeejeejeeeejeej?
22/51
Four letters picked without replacement from {h: 2, s: 5, q: 2, a: 2, f: 3, z: 2}. Give prob of sequence qahh.
1/5460
Calculate prob of sequence ppa when three letters picked without replacement from pidapipidiid.
1/220
Calculate prob of sequence reee when four letters picked without replacement from reeeeeeeeueeee.
5/91
Four letters picked without replacement from lltlttftlhcltlctt. Give prob of sequence httt.
1/272
Three letters picked without replacement from dlm. What is prob of sequence lmd?
1/6
What is prob of sequence rrz when three letters picked without replacement from rzrrzrrrzrrrrzrrzrr?
455/2907
Calculate prob of sequence ttti when four letters picked without replacement from dtitdtdtdtttt.
14/715
What is prob of sequence vyrb when four letters picked without replacement from yvyyuybuyr?
1/1008
Calculate prob of sequence ewhv when four letters picked without replacement from {v: 2, w: 2, e: 1, i: 8, h: 2}.
1/4095
Four letters picked without replacement from fjffffjffffjffffjff. What is prob of sequence jjjj?
1/3876
Three letters picked without replacement from yuuhyunuhuhhuhchyuh. What is prob of sequence uuu?
35/969
Four letters picked without replacement from wuzuuwuzwwzuppzuuwwg. What is prob of sequence pzpu?
7/14535
Three letters picked without replacement from mmaaeaeaamaeemm. Give prob of sequence mee.
2/91
Four letters picked without replacement from {n: 2, b: 7}. Give prob of sequence nbnb.
1/36
Calculate prob of sequence fhf when three letters picked without replacement from hhhhfhhfhfhfhh.
5/91
Four letters picked without replacement from {p: 7, v: 4, d: 4, w: 3}. Give prob of sequence dwwv.
1/765
Four letters picked without replacement from {a: 3, b: 4, t: 4, w: 2, k: 1, d: 1}. What is prob of sequence bbka?
1/910
Four letters picked without replacement from bibbzzziiq. Give prob of sequence qzbi.
3/560
Calculate prob of sequence bcc when three letters picked without replacement from {c: 3, b: 3}.
3/20
What is prob of sequence yyyy when four letters picked without replacement from {n: 1, y: 4, g: 2, f: 4}?
1/330
Two letters picked without replacement from kkkkkkkggkkgkkkkgkkg. What is prob of sequence kg?
15/76
Calculate prob of sequence sv when two letters picked without replacement from {v: 3, s: 1}.
1/4
Calculate prob of sequence op when two letters picked without replacement from {j: 2, o: 1, p: 2, b: 1, c: 1}.
1/21
What is prob of sequence fff when three letters picked without replacement from {m: 9, f: 11}?
11/76
What is prob of sequence yaa when three letters picked without replacement from vaaaaavavvaaya?
3/91
Three letters picked without replacement from {p: 5, x: 1, i: 2, m: 2, n: 10}. Give prob of sequence mnx.
1/342
What is prob of sequence pb when two letters picked without replacement from fppbf?
1/10
What is prob of sequence jk when two letters picked without replacement from kjaa?
1/12
Four letters picked without replacement from {v: 1, i: 2, r: 1, t: 2}. What is prob of sequence tivr?
1/90
What is prob of sequence gdoo when four letters picked without replacement from {f: 1, d: 1, o: 2, a: 1, g: 2, t: 2}?
1/756
Three letters picked without replacement from {r: 4, l: 2, e: 1, c: 3, n: 2}. Give prob of sequence nec.
1/220
Four letters picked without replacement from {i: 1, t: 1, s: 3, w: 2, l: 5}. Give prob of sequence lsst.
1/396
Four letters picked without replacement from sddsssdsdeed. What is prob of sequence edse?
5/1188
Two letters picked without replacement from llul. What is prob of sequence uu?
0
Calculate prob of sequence up w
|
{
"pile_set_name": "DM Mathematics"
}
|
r when 1398 is divided by 47?
35
What is the remainder when 8966 is divided by 30?
26
What is the remainder when 33407 is divided by 514?
511
What is the remainder when 32472 is divided by 92?
88
What is the remainder when 480 is divided by 317?
163
Calculate the remainder when 1306 is divided by 69.
64
Calculate the remainder when 501 is divided by 42.
39
What is the remainder when 70 is divided by 8?
6
What is the remainder when 2570 is divided by 23?
17
Calculate the remainder when 411 is divided by 80.
11
Calculate the remainder when 1906 is divided by 33.
25
Calculate the remainder when 20219 is divided by 6737.
8
Calculate the remainder when 174 is divided by 77.
20
What is the remainder when 731 is divided by 7?
3
Calculate the remainder when 4283 is divided by 9.
8
Calculate the remainder when 111 is divided by 30.
21
What is the remainder when 611 is divided by 34?
33
Calculate the remainder when 36173 is divided by 31.
27
What is the remainder when 71 is divided by 6?
5
What is the remainder when 244 is divided by 19?
16
What is the remainder when 1979 is divided by 99?
98
Calculate the remainder when 90 is divided by 39.
12
Calculate the remainder when 98 is divided by 34.
30
What is the remainder when 2374 is divided by 170?
164
Calculate the remainder when 46 is divided by 24.
22
What is the remainder when 28 is divided by 4?
0
Calculate the remainder when 385 is divided by 73.
20
Calculate the remainder when 278 is divided by 67.
10
Calculate the remainder when 799 is divided by 40.
39
What is the remainder when 202 is divided by 29?
28
What is the remainder when 859 is divided by 30?
19
Calculate the remainder when 130 is divided by 12.
10
Calculate the remainder when 4747 is divided by 19.
16
What is the remainder when 1829 is divided by 263?
251
Calculate the remainder when 49 is divided by 17.
15
Calculate the remainder when 284 is divided by 57.
56
What is the remainder when 18236 is divided by 80?
76
What is the remainder when 126 is divided by 27?
18
What is the remainder when 36747 is divided by 15?
12
What is the remainder when 111 is divided by 78?
33
What is the remainder when 10516 is divided by 7?
2
Calculate the remainder when 3211 is divided by 3197.
14
Calculate the remainder when 221 is divided by 28.
25
What is the remainder when 458 is divided by 42?
38
Calculate the remainder when 243 is divided by 46.
13
Calculate the remainder when 387 is divided by 28.
23
Calculate the remainder when 558 is divided by 103.
43
What is the remainder when 144 is divided by 39?
27
Calculate the remainder when 1087 is divided by 5.
2
Calculate the remainder when 482 is divided by 108.
50
What is the remainder when 154 is divided by 53?
48
Calculate the remainder when 470 is divided by 101.
66
What is the remainder when 190 is divided by 105?
85
Calculate the remainder when 61 is divided by 48.
13
Calculate the remainder when 2148 is divided by 349.
54
Calculate the remainder when 1650 is divided by 7.
5
What is the remainder when 2547 is divided by 50?
47
What is the remainder when 9298 is divided by 31?
29
Calculate the remainder when 425 is divided by 157.
111
What is the remainder when 2858 is divided by 44?
42
Calculate the remainder when 22199 is divided by 25.
24
What is the remainder when 500 is divided by 158?
26
Calculate the remainder when 10778 is divided by 77.
75
What is the remainder when 74 is divided by 40?
34
What is the remainder when 16 is divided by 3?
1
What is the remainder when 252 is divided by 8?
4
What is the remainder when 852 is divided by 9?
6
What is the remainder when 918 is divided by 161?
113
What is the remainder when 54 is divided by 36?
18
What is the remainder when 6374 is divided by 22?
16
Calculate the remainder when 459 is divided by 146.
21
What is the remainder when 3089 is divided by 1539?
11
What is the remainder when 8929 is divided by 10?
9
Calculate the remainder when 1899 is divided by 50.
49
What is the remainder when 74 is divided by 25?
24
Calculate the remainder when 65 is divided by 47.
18
Calculate the remainder when 353 is divided by 129.
95
What is the remainder when 1454 is divided by 26?
24
Calculate the remainder when 805 is divided by 30.
25
Calculate the remainder when 97 is divided by 10.
7
Calculate the remainder when 663 is divided by 31.
12
Calculate the remainder when 1494 is divided by 22.
20
Calculate the remainder when 33 is divided by 19.
14
Calculate the remainder when 2969 is divided by 135.
134
What is the remainder when 371 is divided by 116?
23
What is the remainder when 3571 is divided by 149?
144
Calculate the remainder when 59 is divided by 32.
27
Calculate the remainder when 241 is divided by 212.
29
What is the remainder when 120 is divided by 31?
27
What is the remainder when 18731 is divided by 11?
9
What is the remainder when 243 is divided by 41?
38
What is the remainder when 113 is divided by 54?
5
Calculate the remainder when 284 is divided by 63.
32
Calculate the remainder when 1400 is divided by 700.
0
What is the remainder when 70 is divided by 37?
33
What is the remainder when 1792 is divided by 13?
11
What is the remainder when 1385 is divided by 176?
153
Calculate the remainder when 992 is divided by 330.
2
Calculate the remainder when 20984 is divided by 22.
18
What is the remainder when 100 is divided by 12?
4
What is the remainder when 2620 is divided by 114?
112
What is the remainder when 162 is divided by 12?
6
Calculate the remainder when 520 is divided by 29.
27
What is the remainder when 581 is divided by 11?
9
What is the remainder when 1288 is divided by 220?
188
What is the remainder when 1219 is divided by 111?
109
What is the remainder when 1141 is divided by 560?
21
Calculate the remainder when 148 is divided by 22.
16
Calculate the remainder when 423 is divided by 51.
15
Calculate the remainder when 355 is divided by 121.
113
Calculate the remainder when 746 is divided by 2.
0
What is the remainder when 456 is divided by 23?
19
Calculate the remainder when 1198 is divided by 60.
58
Calculate the remainder when 1055 is divided by 72.
47
What is the remainder when 2591 is divided by 81?
80
What is the remainder when 1061 is divided by 15?
11
Calculate the remainder when 118 is divided by 20.
18
Calculate the remainder when 44619 is divided by 23.
22
Calculate the remainder when 495 is divided by 31.
30
What is the remainder when 4426 is divided by 82?
80
Calculate the remainder when 2159 is divided by 4.
3
Calculate the remainder when 865 is divided by 425.
15
Calculate the remainder when 76 is divided by 12.
4
Calculate the remainder when 90 is divided by 26.
12
Calculate the remainder when 661 is divided by 6.
1
Calculate the remainder when 3281 is divided by 67.
65
Calculate the remainder when 916 is divided by 42.
34
What is the remainder when 1358 is divided by 6?
2
What is the remainder when 344 is divided by 101?
41
What is the remainder when 1212 is divided by 15?
12
Calculate the remainder when 178 is divided by 26.
22
Calculate the remainder when 1432 is divided by 35.
32
What is the remainder when 142 is divided by 31?
18
Calculate the remainder when 2412 is divided by 35.
32
Calculate the remainder when 1740 is divided by 16.
12
Calculate the remainder when 2158 is divided by 80.
78
What is the remainder when 21544 is divided by 29?
26
Calculate the remainder when 316 is divided by 64.
60
What is the remainder when 2855 is divided by 56?
55
Calculate the remainder when 160 is divided by 27.
25
Calculate the remainder when 230 is divided by 39.
35
Calculate the remainder when 15 is divided by 12.
3
Calculate the remainder when 135 is divided by 55.
25
Calculate the remainder when 310 is divided by 27.
13
What is the remainder when 18926 is divided by 26?
24
What is the remainder when 115 is divided by 23?
0
What is the remainder when 4689 is divided by 17?
14
What is the remainder when 1195 is divided by 28?
19
Calculate the remainder when 224 is divided by 118.
106
Calculate the remainder when 15703 is divided by 26.
25
Calculate the remainder when 516 is divided by 175.
166
Calculate the remainder when 296 is divided by 260.
36
What is the remainder when 96 is divided by 32?
0
What is the remainder when 9652
|
{
"pile_set_name": "DM Mathematics"
}
|
term of 1777, 3662, 6061, 9232, 13433, 18922, 25957?
43*q**3 - q**2 + 1587*q + 148
What is the w'th term of 102101661, 102101660, 102101659, 102101658?
-w + 102101662
What is the w'th term of 1474441120, 2948882239, 4423323358, 5897764477, 7372205596, 8846646715?
1474441119*w + 1
What is the o'th term of -1607, -12506, -42027, -99482, -194183, -335442, -532571, -794882?
-1552*o**3 + o**2 - 38*o - 18
What is the v'th term of 363264, 363288, 363312?
24*v + 363240
What is the v'th term of -70758, -141849, -213610, -286377, -360486, -436273?
-56*v**3 + v**2 - 70702*v - 1
What is the o'th term of 59249924, 59249926, 59249928, 59249930, 59249932?
2*o + 59249922
What is the p'th term of -782, -1510, -2036, -2354, -2458?
p**3 + 95*p**2 - 1020*p + 142
What is the s'th term of 2836, 10974, 24506, 43444, 67800, 97586?
2*s**3 + 2685*s**2 + 69*s + 80
What is the f'th term of -853074, -3412118, -7677190, -13648290, -21325418?
-853014*f**2 - 2*f - 58
What is the y'th term of 38775, 155123, 349041, 620529, 969587, 1396215?
38785*y**2 - 7*y - 3
What is the t'th term of 38665, 77047, 115433, 153823, 192217, 230615, 269017?
2*t**2 + 38376*t + 287
What is the v'th term of 12113, 11003, 9893, 8783, 7673, 6563?
-1110*v + 13223
What is the v'th term of -1391, -2555, -3753, -4985?
-17*v**2 - 1113*v - 261
What is the u'th term of 58117, 120045, 181971, 243895, 305817?
-u**2 + 61931*u - 3813
What is the t'th term of -3286, -6705, -10124?
-3419*t + 133
What is the d'th term of 83068, 82304, 81540, 80776, 80012?
-764*d + 83832
What is the y'th term of 9862, 37122, 82556, 146164, 227946, 327902?
9087*y**2 - y + 776
What is the w'th term of -19613, -23411, -27211, -31007, -34793?
w**3 - 7*w**2 - 3784*w - 15823
What is the t'th term of -13143, -52381, -117785, -209361, -327115, -471053, -641181, -837505?
-t**3 - 13077*t**2 - 65
What is the r'th term of -13294593, -26589709, -39884811, -53179893, -66474949?
r**3 + r**2 - 13295126*r + 531
What is the s'th term of -2119, -3874, -5635, -7402, -9175, -10954, -12739?
-3*s**2 - 1746*s - 370
What is the i'th term of 2133, -9839, -42341, -105639, -209999, -365687?
-1711*i**3 + i**2 + 2*i + 3841
What is the y'th term of 768, 1556, 2584, 4026, 6056?
29*y**3 - 54*y**2 + 747*y + 46
What is the d'th term of 2100, 8828, 20120, 35982, 56420?
d**3 + 2276*d**2 - 107*d - 70
What is the j'th term of -883352, -7067104, -23851632, -56537324, -110424568, -190813752, -303005264, -452299492?
-883398*j**3 + 34*j + 12
What is the s'th term of -472, -640, -220, 1076, 3536, 7448, 13100, 20780?
48*s**3 + 6*s**2 - 522*s - 4
What is the m'th term of 1314822, 2629647, 3944472, 5259297, 6574122, 7888947?
1314825*m - 3
What is the q'th term of -56106, -96445, -136784, -177123, -217462?
-40339*q - 15767
What is the l'th term of -79963567, -159927130, -239890691, -319854250, -399817807?
l**2 - 79963566*l - 2
What is the g'th term of 33934, 71148, 108360, 145570, 182778, 219984?
-g**2 + 37217*g - 3282
What is the v'th term of -110124, -220234, -330308, -440328, -550276, -660134, -769884?
3*v**3 - 110131*v + 4
What is the k'th term of 561, 3927, 9541, 17403, 27513?
1124*k**2 - 6*k - 557
What is the s'th term of -268945, -537851, -806755, -1075657?
s**2 - 268909*s - 37
What is the k'th term of 205635, 206937, 208241, 209547, 210855?
k**2 + 1299*k + 204335
What is the v'th term of -471668, -943324, -1414954, -1886546, -2358088, -2829568, -3300974, -3772294?
2*v**3 + v**2 - 471673*v + 2
What is the l'th term of -43211316, -43211334, -43211378, -43211460, -43211592, -43211786, -43212054?
-2*l**3 - l**2 - l - 43211312
What is the z'th term of -2027512757, -4055025513, -6082538269, -8110051025, -10137563781, -12165076537?
-2027512756*z - 1
What is the i'th term of -10672, -10665, -10660, -10657, -10656, -10657, -10660?
-i**2 + 10*i - 10681
What is the s'th term of -560569, -560475, -560319, -560101?
31*s**2 + s - 560601
What is the q'th term of 45, 36, 31, 36, 57, 100, 171, 276?
q**3 - 4*q**2 - 4*q + 52
What is the v'th term of 6015295, 48122243, 162412513, 384977767, 751909667, 1299299875, 2063240053?
6015277*v**3 - v**2 + 12*v + 7
What is the v'th term of 135277, 260834, 386391?
125557*v + 9720
What is the u'th term of 7217, 12329, 17431, 22523, 27605?
-5*u**2 + 5127*u + 2095
What is the u'th term of 601, 569, 339, -233, -1291?
-24*u**3 + 45*u**2 + u + 579
What is the c'th term of -3864720, -15458890, -34782506, -61835568, -96618076, -139130030?
-3864723*c**2 - c + 4
What is the f'th term of -2635, -3197, -4143, -5479, -7211, -9345, -11887, -14843?
-f**3 - 186*f**2 + 3*f - 2451
What is the c'th term of 976449, 3905768, 8787967, 15623046, 24411005?
976440*c**2 - c + 10
What is the y'th term of -4476504, -8953005, -13429506, -17906007?
-4476501*y - 3
What is the n'th term of -5774, -23109, -52000, -92447?
-5778*n**2 - n + 5
What is the q'th term of -12889, -12751, -12537, -12253, -11905?
-q**3 + 44*q**2 + 13*q - 12945
What is the l'th term of 99, -1637, -3373?
-1736*l + 1835
What is the x'th term of -6101, -12229, -18359, -24491, -30625, -36761?
-x**2 - 6125*x + 25
What is the n'th term of -23640, -23330, -23030, -22734, -22436?
n**3 - 11*n**2 + 336*n - 23966
What is the d'th term of 14001992, 14001989, 14001972, 14001935, 14001872, 14001777, 14001644, 14001467?
-d**3 - d**2 + 7*d + 14001987
What is the i'th term of 10668, 21329, 31990, 42651, 53312?
10661*i + 7
What is the n'th term of 36008, 143145, 321408, 570797, 891312, 1282953?
35563*n**2 + 448*n - 3
What is the z'th term of -63438, -62679, -61930, -61197, -60486?
-z**3 + z**2 + 763*z - 64201
What is the m'th term of -18489, -18526, -18561, -18594?
m**2 - 40*m - 18450
What is the k'th term of 61545, 123273, 185001?
61728*k - 183
What is the x'th term of 53051, 53186, 53321, 53456, 53591, 53726?
135*x + 52916
What is the u'th term of -126158, -252323, -378494, -504671, -630854, -757043, -883238?
-3*u**2 - 126156*u + 1
What is the t'th term of -213168, -426296, -639424, -852552, -1065680?
-213128*t - 40
What is the o'th term of -20626125, -20626123, -20626121, -20626119?
2*o - 20626127
What is the g'th term of 225926, 225939, 225976, 226049, 226170, 226351?
2*g**3 - g + 225925
What is the u'th term of -43187, -86370, -129555, -172742, -215931?
-u**2 - 43180*u - 6
What is the k'th term of -412892, -825809, -1238726, -1651643?
-412917*k + 25
What is the z'th term of 42014, 83977, 125940, 167903, 209866?
41963*z + 51
What is the z'th term of 801, 3291, 7443, 13257, 20733?
831*z**2 - 3*z - 27
What is the w'th term of 629, 58, -523, -1114, -1715?
-5*w**2 - 556*w + 1190
What is the s'th term of 820, 1356, 2250, 3508, 5136, 7140?
s**3 + 173*s**2 + 10*s + 636
What is the s'th term of 21041, 84216, 189507, 336914?
21058*s**2 + s - 18
What is the r'th term of 6014808, 6014875, 6014942, 6015009, 6015076?
67*r + 6014741
What is the f'th term of 5415, 21275, 47641, 84519, 131915, 189835?
f**3 + 5247*f**2 + 112*f + 55
What is the v'th term of -4661, 1981, 19923, 49165?
5650*v**2 - 10308*v - 3
What is the q'th term of -322, -1189, -2590, -4513, -6946, -9877, -13294, -17185?
2*q**3 - 279*q**2 - 44*q - 1
What is the g'th term of -50884, -107481, -164078, -220675, -277272?
-56597*g + 5713
What is the f'th term of 73819, 147531, 221255, 294991, 368739, 442499, 516271?
6*f**2 + 73694*f + 119
What is the t'th term of -3749, -14538, -32375, -57260, -89193?
-3524*t**2 - 217*t - 8
What is the q'th term of -8878569, -8878566, -8878559, -8878548, -8878533, -8878514, -8878491?
2*q**2 - 3*q - 8878568
What is the r'th term of 731724, 1463455, 2195184, 2926905, 3658612, 4390299, 5121960, 5853589?
-r**3 + 5*r**2 + 731723*r - 3
What is the h'th term of -1354011, -1353956, -1353865, -1353738, -1353575?
18*h**2 + h - 1354030
What is the d'th term of 4393, 8795, 13229, 17695, 22193, 26723, 31285?
16*d**2 + 4354*d + 23
What is the f'th term of -366, -729, -1084, -1425, -1746, -2041, -2304, -2529?
f**3 - 2*f**2 - 364*f - 1
What is the b'th term of 5307, 10320, 14747, 18294, 20667, 21572?
-49*b**3 + b**2 + 5353*b + 2
What is the m'th term of 277276, 276625, 275974, 275323, 274672?
-651*m + 277927
What is the m'th term of 5554, 10597, 15126, 19141, 22642, 25629?
-257*m**2 + 5814*m - 3
What is the x'th term of 64639375, 64639377, 64639379, 6463938
|
{
"pile_set_name": "DM Mathematics"
}
|
6/8. Let k = 470 + -490. What is the units digit of (-4)/k + (-1122)/f?
5
Let g(r) = 3*r**2 - 103*r - 94. Let h be g(39). Suppose -b + a + h = 0, -40*b - 1352 = -43*b + 4*a. What is the hundreds digit of b?
4
Suppose 4*u = -19031 - 7129. What is the hundreds digit of (9/45)/((-4)/u)?
3
Let x = 9003 + -142. What is the hundreds digit of x?
8
Let s be (-6)/(18/1289)*3. Let v = s + 2176. What is the units digit of v?
7
Let z(q) = 3*q**2 - 21*q - 24. Let h(d) be the second derivative of -d**4/12 + d**2/2 - 2*d. Let m(f) = 2*h(f) + z(f). What is the units digit of m(26)?
8
Let w be 20/(-8)*24/(-5). Let k be (-2 - w)*2/(-7). Suppose 0 = k*i - 136 - 168. What is the units digit of i?
6
Let v(b) = b**2 + b + 3. Let d be v(0). Let j(a) = 30*a - 3 - 2 + 11 - 9. What is the tens digit of j(d)?
8
Let q(l) = 3*l - 2. Let x be q(2). Let g(u) = 4*u**2 - 7*u + 12. Let y be g(x). Let v = -40 + y. What is the units digit of v?
8
Let n(u) = -2*u + 30. Let i be n(-11). Suppose 0 = -45*v + i*v - 5754. What is the units digit of v?
2
Suppose -4*l + 5476 = -2*l + 3*i, l = -3*i + 2744. Suppose 6*n = 3*k + 4*n - l, 3*k = 4*n + 2734. What is the tens digit of k?
1
Let l be 39 + -34 + (1 - 6/3). Suppose -2808 = -2*v - 2*i, -4150 = -l*v + 4*i + 1434. What is the units digit of v?
0
Suppose 0 = 5*n + 3*n + 624. Suppose -3*o - 4*d + 2*d = 142, -132 = 3*o - 3*d. Let x = o - n. What is the units digit of x?
2
Let f(k) = -k + 24. Let g be f(18). Suppose h = -5*h + g. What is the units digit of h*4*3*123/18?
2
Let p(h) = 77*h**2 + 370. What is the units digit of p(-19)?
7
Let f(m) = 1975*m**2 + 40*m + 3. What is the thousands digit of f(2)?
7
Suppose -3*a - 45 = -3*j + 6, -a + 39 = 3*j. Let o be 3*(-48)/j - 4/(-14). Let w(p) = p**3 + 9*p**2 - 9*p + 19. What is the units digit of w(o)?
9
Let s be (-258)/(-4)*(-10)/15. Let r = -38 - s. Suppose 0 = -k - 5*c + 63 + 10, 0 = r*k + 2*c - 250. What is the tens digit of k?
4
Suppose 1096 = 26*o - 25*o. What is the tens digit of (-1)/(o/220 + -5)?
5
What is the tens digit of (12079 - (70 - 57))/(((-2)/(-6))/1)?
9
Let c(o) = 448*o**2 - 11*o - 20. What is the thousands digit of c(5)?
1
Let f(k) = -k**2 + 14*k - 27. Let m be f(7). Suppose -t - 8589 = -m*t. What is the units digit of t?
9
Let q(x) = -2*x + 33. Let b = 79 + -64. Let n be q(b). Suppose -n*j - 3*v = -387, -5*v = -3*j + 269 + 78. What is the hundreds digit of j?
1
Let m = 231 - 232. What is the tens digit of (-79)/((1/5)/m)?
9
Let y(s) = 3*s**2 - 59*s - 7. Let m(g) = -6*g**2 + 119*g + 13. Let n(b) = 4*m(b) + 9*y(b). What is the hundreds digit of n(22)?
2
Let w(b) = 44*b - 39 + 15 + 15. Let a be w(-4). Let p = a + 286. What is the tens digit of p?
0
What is the thousands digit of (-14)/49 - (-7)/(294/266922)?
6
Suppose t + 5*g = 5*t - 56, t + 5*g = 39. What is the tens digit of 0 + (t/19 - (-105)/1)?
0
Suppose 5*f + 67 = 87. Suppose 3*m = f*p + 331, 0 = p + 3*m + 13 + 51. Let y = -15 - p. What is the tens digit of y?
6
Suppose 25*q - 23*q = -16, -g + 10421 = 4*q. What is the ten thousands digit of g?
1
Suppose 5*l + 5*o = 10935, -5*o = -19*l + 14*l + 10935. What is the hundreds digit of l?
1
Let f(r) = 33*r**2 - 548*r - 28. What is the hundreds digit of f(26)?
0
Let q = -1729 - -4799. What is the thousands digit of q?
3
Let v be (-6)/(-30) + 627/15. Let h = v - 25. Let w = h - -23. What is the tens digit of w?
4
Let m(g) = -2*g**3 - 40*g**2 + 45*g - 16. What is the units digit of m(-33)?
3
Let g be 1*4/8*4. Suppose -2*o + g*p = 2*o - 492, -4*p = 3*o - 391. What is the hundreds digit of o?
1
Suppose -89*g = -64*g - 70775. What is the tens digit of g?
3
Let k = 7670 + -464. What is the thousands digit of k?
7
Let h(q) = q**2 + 15*q + 4. Suppose -121*i + 15 = -122*i. Let m be h(i). What is the tens digit of -11*m*(-3)/6?
2
Let z = -158 + 157. What is the hundreds digit of 123 - 13 - (1 + 1/z)?
1
Let y(w) = -w**2 + 9*w + 35. Let k be y(12). What is the units digit of ((-417)/(-9))/(k/(-3))?
9
Suppose 2*n = -5*g + 21722, -5*g - 21718 = -10*g - 3*n. What is the tens digit of g?
4
Suppose 3*d = -7*m + 80056, -2*d - m + 10101 + 43266 = 0. What is the hundreds digit of d?
6
Let u(n) = -250*n**2 - 6*n + 7. Let l be u(1). Let o = 216 - l. What is the units digit of o?
5
Suppose -173566 = -5*z - 2*r, 55*z - r + 104138 = 58*z. What is the thousands digit of z?
4
Suppose -4*w + 224 = 5*g, 5*g + 0*g = 4*w + 216. Let r(b) = -4*b - 13*b + g + 4*b. What is the hundreds digit of r(-10)?
1
Let j be 2/(-2)*-2*246/(-12). Let q = -33 - j. Suppose q*o + 55 = 799. What is the units digit of o?
3
Let c be -2 + (-4)/8*-178. Let g be (44 - 46) + -1 + c*1. Let r = g - 56. What is the units digit of r?
8
Suppose -129*c + 49*c + 3938240 = 0. What is the ten thousands digit of c?
4
Let w = 366 + -186. Suppose -z - 3*z = -2*s + w, -5*s = z - 406. What is the units digit of s?
2
Suppose -1120875 = 382*q - 457*q. What is the ten thousands digit of q?
1
Let g(v) = 3*v**3 - 3*v**2 + 5*v - 3. Let n be g(1). Suppose n*a - 504 + 160 = 0. Suppose 4*b - 1224 = -a. What is the units digit of b?
3
Let t(g) = 19*g + 192. Let b = -735 - -746. What is the hundreds digit of t(b)?
4
Let p(k) = -k + 12*k - 61 + 0*k. Suppose -10*y - 399 = -569. What is the hundreds digit of p(y)?
1
Suppose -27 = -7*b + 4*b. Suppose -4*g + g + b = 0. Suppose i = g*i - 154. What is the tens digit of i?
7
Let n be (3 + -8 - -5) + 4. Suppose 2*y + 1572 = 3*m - 2*y, n*y - 2068 = -4*m. What is the units digit of m?
0
Suppose 24*f = 39*f - 30. Suppose -f*g + 948 = 2*g. What is the hundreds digit of g?
2
What is the ten thousands digit of ((-29252)/4047 - 2/19)/((-2)/2733)?
1
Let r = 21 + -19. Suppose -69 - 73 = -r*u. Let k = 169 - u. What is the units digit of k?
8
Suppose -4*z - 3*s + 1150 = 246, z - 207 = 4*s. Let m = 13 + z. What is the tens digit of m?
3
Suppose 5*o - 1426 - 2609 = -5*i, 4*i - 3226 = -5*o. Suppose -5*a + 2*a + i = -4*s, -5*a + 1383 = 2*s. What is the units digit of a?
5
Let j(v) = -7*v + 15. Suppose 2*m + 35 - 31 = 0. Let k = m - 8. What is the units digit of j(k)?
5
Let u be (-4 + -4 - -13)*2/5. Let l = -46 + 50. Suppose -l*n + 2*t = t - 273, -u*n = t - 135. What is the units digit of n?
8
Let r be (-2)/24 + 16486/(-24). Let a = -299 - r. What is the tens digit of a?
8
Suppose -2*w - 3*d + 27830 = 0, 18*w + 41746 = 21*w + 5*d. What is the ten thousands digit of w?
1
Let m be 170 + -4 - 2 - -4. Suppose -l + 9*l - m = 0. Suppose -3*b + 4*y + 62 = 0, -y = 4*b - 30 - l. What is the units digit of b?
4
Suppose t + 6*u - 36317 = 0, 0 = -t + u - 16676 + 53035. What is the units digit of t?
3
Suppose -5*i + 1277 = 3*n, 2*i + 4*n = -191 + 699. Suppose -253*k = -i*k. Suppose k = -2*y + 4*t + 312, -319 = -2*y - t - 2*t. What is the tens digit of y?
5
Suppose -5*h = 7*l - 12*l + 895, -4*l + 896 = -5*h. Let k = h + 1537. What is the thousands digit of k?
1
Suppose 4*v + 24 = 2*v. Let d be v/(-21) + (-31)/(-7). Suppose -q - 113 = -3*s + s, 0 = -q + d. What is the tens digit of s?
5
Let h(c) = -2 + 57*c**2 + 6*c - 401*c**2 + 3 + 5. Let v be h(-1). What is the units digit of (6/4)/((-12)/v)?
3
What is the tens digit of (-1179208)/(-30) + 131/1965?
0
Suppose 3*g + 18 = 0, 6*g + 19513 - 4842 = i. What is the units digit of i?
5
Suppose 3*u = -5*b + 72, 0 = 3*b - u + 58 - 90. Let p(v) = v**3 + 5*v**2 - 6*v + 7. Let i be p(-6). Suppose i*q + 5 = b*q. What is the units digit of q?
1
Let k(j) = -3*j + 73. Let r be k(26). Let a(x) = -x**3 + 4*x**2 + 7*x - 5. What is the hundreds digit of a(r)?
1
Let l(b) = -216*b - 131. Let y be l(-4). Suppose y = 17*f - 2769. What is the units digit of f?
6
Suppose 0 = 46*g + 21713 - 259579. What is the tens digit of g?
7
Suppose 0 = -4*m + 713 - 681. Suppose n + 6951 = m*n. What is the hundreds digit of n?
9
Suppose 15*i - 28*i = 28132. Let q = -1187 - i. What is the hundreds digit of q?
9
Let j be (3 - 65/52)/(2/1464). Let r = -202 + j. What is the thousands digit of r?
1
Let z(m) = m**2 - 3*m - 3. Suppose -48 + 57 = -3*c. Let l be z(c). What is the tens digit of (-884)/(-12) + 20/l?
7
Suppose 0 = 11*a - 4*a + 21. Let y(j) = -15*j - 4. What is the units digit of y(a)?
1
Let c = -3656 - -9626. What is the thousands digit of c?
5
Let l(a) = -a**2 + a + 6. Let g be l(5). Let k(i) = 5*i + 5*i**2 - 1 - 18*i**2 + 6*i*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*r + 78. Suppose -4*s = -x + 5. What is the greatest common factor of s and 10?
10
Let u(q) = -q**2 - 3*q + 7. Let l be u(-5). Let g be 3 + 0 + l + 10. Calculate the highest common factor of 15 and g.
5
Let q(i) = 2*i**3 - 8*i**2 - 4*i. Let n be q(6). What is the greatest common divisor of 15 and n?
15
Let d = 28 - 16. Let w be d/18*(-3)/(-2). Let b be (-28)/(-6) + 1/3. Calculate the greatest common divisor of w and b.
1
Let u be ((6 - 3) + -8)/((-2)/34). Calculate the highest common factor of u and 17.
17
Suppose 11*x - 320 = 9*x. Calculate the highest common factor of 20 and x.
20
Let u(q) = -4*q + 18. Let z be u(-1). Calculate the highest common factor of 22 and z.
22
Suppose -8*l = -13*l + 190. What is the greatest common divisor of 152 and l?
38
Suppose 0 = -f + 5*h + 12, 2*f + 3*h = -2. Suppose -32 = -2*u - f*u + 5*n, 4*u + 2*n - 32 = 0. Calculate the highest common factor of u and 72.
8
Suppose 0*i = -2*i - 10. Let y(r) = r**2 + 3*r + 3. Let f be y(i). Suppose -4*o - j = -62, 3*o + 2*j = 31 + f. What is the highest common factor of 4 and o?
4
Let p = -75 + 85. Suppose 3*m - 224 = 4*g, 3*m = m - 3*g + 172. What is the highest common factor of p and m?
10
Suppose 0 = f - 8*d + 3*d - 22, 4*d + 50 = 2*f. Suppose 2*r + 2*h = 0, -2*h + 6 = 5*r - 3. What is the highest common divisor of r and f?
3
Let c(p) = 3*p**2 + 8*p + 7. Let i = 0 - 7. Let n be c(i). Calculate the greatest common factor of n and 14.
14
Let q(p) = -21*p + 9. Let i(u) = -u**3 - 5*u**2 - 3*u - 2. Let k be i(-4). Let b be q(k). What is the highest common divisor of 15 and b?
15
Let k = 3 - -7. Let q(v) = v**3 - 7*v**2 - 5*v + 1. Let w be 8/((-1 + 0)/(-1)). Let h be q(w). What is the highest common factor of k and h?
5
Let d(n) = -4*n. Let t be d(-1). Let w be 4*(0 + -3 + 10). What is the greatest common factor of w and t?
4
Let a(k) be the first derivative of k**4/4 + 2*k**3 - 4*k - 1. Let h be a(-5). Suppose -c - 91 = -238. What is the greatest common divisor of h and c?
21
Let k = 94 + -34. What is the greatest common divisor of 15 and k?
15
Let z(r) = -r**3 + 2*r**2 + 2. Let i be z(2). Suppose -5*h - 50 + i = -3*s, -3*h + 46 = 5*s. What is the highest common factor of s and 55?
11
Let g(p) = -1 + 14*p + 1 - 26*p**2 + 25*p**2. Let u be g(8). What is the highest common divisor of u and 32?
16
Suppose 0 = -h - 4*v + 24, 5*h + 15 - 78 = -v. What is the highest common divisor of 18 and h?
6
Suppose 0 = 4*s - 131 + 35. Calculate the highest common factor of 40 and s.
8
Let f = 81 - 66. Let d = 186 - 51. What is the highest common divisor of d and f?
15
Let i be 2 + 4 + 0 + 0. Let a be i/6 - (-8 - 1). Suppose 2*q + g = 4, 0 = -2*q - g - 3*g + a. What is the highest common divisor of q and 3?
1
Suppose -4*m + y + 454 = -2*m, 5*m + y - 1121 = 0. Let h be 5 + (-556)/(-28) - 1/(-7). Calculate the highest common factor of h and m.
25
Let o = 15 - 20. Let l = 10 - o. Calculate the highest common divisor of l and 30.
15
Let d = -2 + 4. Suppose 0 = -4*x + 19 + 1, 2*x = -d*h + 14. Suppose -h*s - 5 = -3*q, -4*q + 6 = -6*s + 3*s. What is the highest common divisor of 16 and s?
2
Let g(b) = 27*b**2 - 3*b + 1. Let j be g(2). Let u = 145 - j. Calculate the greatest common factor of 6 and u.
6
Let c = 17 + -7. Let o be ((-4)/3)/(4/(-150)). What is the highest common factor of o and c?
10
Let q = -21 - -40. What is the greatest common divisor of q and 209?
19
Let c(h) = -h**3 + 9*h**2 + 7*h - 12. Let v be c(9). Let y = 54 - 37. What is the highest common divisor of y and v?
17
Let i = -8 + 12. Suppose -i*a = 5 - 33. Calculate the greatest common factor of 35 and a.
7
Let t(o) = 4*o. Let q be t(-5). Let r = -12 - q. Calculate the greatest common factor of 4 and r.
4
Suppose 57 = 3*n + 15. What is the highest common divisor of n and 56?
14
Suppose -75 = 5*p - 20*p. Calculate the highest common divisor of 55 and p.
5
Suppose 0 = l + 4*w + 2, 55 = 3*l - w - 4. What is the greatest common divisor of 18 and l?
18
Suppose 3*d - 3*m = 87, d - 85 = -2*d + 5*m. Calculate the greatest common factor of d and 240.
30
Suppose 0 = -2*w + 4 + 4. Suppose -2*y + w*m = -40, 5*y = m + 3 + 61. What is the highest common divisor of y and 48?
12
Let q(t) be the second derivative of t + 0 + 1/6*t**3 + 0*t**2 + 1/12*t**4. Let i be q(-3). What is the greatest common divisor of i and 24?
6
Suppose -4*y = 3*j - 0 + 3, 4*j + 8 = -4*y. Calculate the greatest common divisor of 33 and y.
3
Let s(q) = 46*q - 2. Let f be s(2). Let v be (-1460)/15*3/2. Let c be 1/(-2) - v/4. What is the greatest common factor of c and f?
18
Let w = -32 + 101. Let v = w - 41. Let p(o) = o + 7. Let m be p(-3). Calculate the greatest common factor of m and v.
4
Let l(z) = -z**3 - 2*z**2 - 2*z - 1. Let j be l(-5). Let b be 24 - (12/(-2))/(-2). What is the greatest common factor of b and j?
21
Let u be ((-68)/6)/((-2)/6). Calculate the highest common divisor of u and 170.
34
Let k(w) = w**3 + 2*w**2 - 2*w - 1. Let t be k(2). Suppose -2*a = -2*q + 33 - t, 0 = -3*a - 9. Calculate the highest common factor of 88 and q.
8
Let u be 0/((3*-2)/3). Suppose 3*n = 3*o - 57, u = n - 3*n. What is the highest common divisor of 152 and o?
19
Let z be (21/(-14))/(6/16). Let h(u) = -2*u**3 + 2*u**2 + 4*u + 4. Let v be h(z). Suppose 0 = -3*y + v + 77. What is the greatest common factor of y and 30?
15
Let z = 198 - 120. Let k(q) = q**2 - 6. Let r be k(0). Let x = z - r. Calculate the greatest common divisor of x and 12.
12
Suppose -5*k + 14 - 4 = 0. Calculate the greatest common divisor of 46 and k.
2
Let q be 30/5 + 2 + -1. Calculate the greatest common factor of q and 56.
7
Let a be (-1)/(-2)*(199 + -7). What is the highest common factor of 12 and a?
12
Suppose 3*j + 3*m - 111 = 0, 2*j - 60 = 4*m + 32. Suppose -3*f = 0, -u - f + 20 = -0*u. Suppose u = -3*s + 5*s. What is the greatest common factor of s and j?
10
Suppose -3*l = -5*p - 190, -l + 41 = -4*p - 20. Let y be (-1)/(-2) - (-102)/4. Calculate the highest common divisor of l and y.
13
Let y = -2 - 1. Let n = 4 - y. Let d(q) = 56*q**2 - q + 1. Let l be d(1). What is the highest common divisor of n and l?
7
Let m = -23 + 50. Let d = m + -19. Calculate the highest common divisor of 2 and d.
2
Let t(g) be the third derivative of -g**4/24 + g**3/6 - g**2. Let h be t(0). Let w be (16 - h)*(3 - 2). What is the greatest common divisor of 30 and w?
15
Let z be ((-6)/(-10))/3 + 15480/100. Calculate the highest common factor of 62 and z.
31
Let f(i) = -24*i - 3. Let b be f(-4). Calculate the highest common divisor of b and 62.
31
Let w = -12 - -19. What is the greatest common factor of 1 and w?
1
Suppose 5*n - 9 = 26. Let q = -46 - -53. What is the greatest common divisor of n and q?
7
Suppose 162 = -w + 174. Calculate the highest common divisor of w and 84.
12
Let z(p) = -3*p**2 + 9*p - 12. Let k(s) = s**2 - 3*s + 4. Let t(b) = -17*k(b) - 6*z(b). Let n be t(4). Calculate the greatest common divisor of 56 and n.
8
Let w(t) = -t**3 + 9*t**2 - 12. Let z be w(8). Calculate the highest common factor of 13 and z.
13
Let p = 98 + -146. Let i = -3 + -23. Let n = i - p. Calculate the greatest common factor of n and 11.
11
Let j be 559/7 + (-12)/(-84). What is the highest common factor of j and 48?
16
Let d(a) = -a**3 - 9*a**2 - 11*a - 11. Let n be d(-8). Calculate the greatest common factor of 52 and n.
13
Suppose -18 = 2*r - 5*x, -4*x + 21 = 7*r - 2*r. Let s(u) = 0 + 2*u**2 + 5 + 6*u - 3. Let q be s(-4). Calculate the highest common factor of r and q.
1
Let t = 78 - 56. Let k = t - -23. Suppose -5*l + 37 + 8 = 0. What is the greatest common factor of l and k?
9
Let f(y) = 6*y**2 - 9*y + 7. Let w be f(7). Let l = w + -85. What is the greatest common divisor of l and 17?
17
Let i(h) = 3*h**2 - 10*h + 3. Let j(k) = -4*k**2 + 11*k - 2. Let u(w) = -3*i(w) - 2*j(w). Let p be u(5). What is the highest common factor of p and 10?
10
Let s = 15 - 13. What is the greatest common divisor of s and 4?
2
Let o(x) = -x**3 - 8*x**2 - 2*x + 8. Let a be o(-9). Let q = a + -58. Let u be 8 - (0 + -1)*-1. Calculate the highest common divisor of u and q.
7
Suppose 5*a + 32 = 3*f - 4, -5*f + 34 = -4*a. Let h be ((-8)/(-6))/(a/9). Let s be (-3 - h) + 15 + 2. What is the greatest common divisor of s and 8?
8
Suppose -13 - 7 = -5*z. Suppose z*r
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*q + 8 = q. Suppose -18 = -4*d - 2*s, -2*s = q*d - 6*d + 30. What is the units digit of d?
6
Let i(l) = -7*l**3 + l**2 + 2*l. Let t be i(2). Let j = -25 - t. What is the tens digit of j?
2
Suppose -z - 5 + 4 = 0. Let c = z + 34. What is the tens digit of c?
3
Let v = 119 - 110. What is the units digit of v?
9
Let v be (-2)/((-1)/(-2)*4). Let m be (v + 3)/((-2)/(-8)). Let l(x) = x**2 - 7*x - 6. What is the units digit of l(m)?
2
Let w(x) = x**3 - 5*x**2 + 2. What is the hundreds digit of w(7)?
1
Suppose 4*c - 10 = 26. What is the units digit of c?
9
Let j = -4 + 8. Suppose -k = j*k - 60. What is the units digit of 1/4 - (-9)/k?
1
Let d(x) = x**2 - 2*x + 4. Let u = -12 + 9. What is the units digit of d(u)?
9
Let n be (-317)/(-7) + (-2)/7. Suppose -5*v = -0*v - 15. Suppose 0 = -2*g - v*g + n. What is the units digit of g?
9
Let o = 9 + -6. Suppose o*f = -4*v - 9, 0*v + 12 = -3*v + 3*f. What is the units digit of ((-3)/1 - v) + 2?
2
Let a be 12/8*(-64)/(-12). Suppose -y = -a - 20. What is the units digit of y?
8
Suppose 4*q - x - 28 = 161, -4*x = -4*q + 204. What is the tens digit of q?
4
Suppose 7*k = 2*k + 25. Suppose -4 = 4*l - 0. Let h = k - l. What is the units digit of h?
6
Suppose -4*d = -9*d + 10. What is the units digit of d/(5/2 + -2)?
4
Let f = 82 + 57. What is the units digit of f?
9
Suppose 4*d = 5*d - 2, -4*d = -2*u. Let j = u + -2. Suppose -3*b + 19 = -j*n + 3*n, 4*b + 114 = 5*n. What is the tens digit of n?
2
Suppose 26*c - 31*c = -155. What is the tens digit of c?
3
Let m(h) = -h**2 - 7*h + 7. Let o(c) = c**3 - 4*c**2 - 3*c + 6. Let k be o(4). What is the units digit of m(k)?
3
Let v be 6*(-1 + (-2 - -4)). Suppose -2*q + v + 10 = 0. What is the units digit of q?
8
Let s be (-4 + 5)*(-3 + -1). Let d(g) = g**2 - 3*g - 3. Let z be d(5). Let a = z + s. What is the units digit of a?
3
Let q(g) = g + 4. Let s be q(-2). Suppose s*k - 58 = -4*y, -y + 4*k + k + 9 = 0. What is the tens digit of y?
1
Suppose -2 - 18 = -2*j. Let z = 9 + j. What is the tens digit of z?
1
Suppose 0 = -s + 5*s - 8. Suppose s*p - 6*p = -148. What is the units digit of p?
7
Let v = -413 + 774. What is the hundreds digit of v?
3
Let a be 2 + (1 + 2 - -1). Suppose m = a - 0. What is the units digit of m?
6
Let u be -2 + 3 - (1 + -57). Let o = u + -36. What is the tens digit of o?
2
Let u be -1*2 - (6 - 40). Suppose -u = -2*z + 2. What is the units digit of z?
7
Let r(d) = -3*d**3 - 6*d**2 - 2*d. What is the tens digit of r(-4)?
0
Let m(g) = -g**2 - 9*g - 2. Let a be m(-7). Let i = a + 0. What is the units digit of i?
2
Let v(w) = -2*w. Let a(s) = -s + 1. Let l be a(5). What is the units digit of v(l)?
8
Suppose -2*l = 36 - 10. Suppose -2*j = -5*j - 54. Let y = l - j. What is the units digit of y?
5
Let j(x) = -10*x - 10. Let i(d) = -119*d - 119. Let b(u) = 3*i(u) - 35*j(u). What is the tens digit of b(-3)?
1
What is the tens digit of 22*(0 - 0 - (-2 - -1))?
2
Let k = 1222 + -864. What is the units digit of k?
8
Suppose 0 = -2*r + 2*y + 72, y - 4 + 3 = 0. What is the tens digit of r?
3
Let n(m) = m**3 + 10*m**2 + 6*m - 12. Let c be n(-9). Suppose 5*w = -c, -w + 4*w = t - 23. What is the tens digit of t?
1
Suppose -945 = -11*m + 4*m. What is the tens digit of m?
3
Let g(n) = -n - 9. Let k be g(-8). Let w = 15 - 7. Let t = w + k. What is the units digit of t?
7
Let l(t) = 12*t - 3. What is the tens digit of l(3)?
3
Suppose -9 = -3*j, -3*g + 2*g + 2*j = -20. What is the tens digit of g?
2
Let s be 30*(14/4)/7. Suppose p + 4*p - s = 0. What is the units digit of p?
3
Suppose -8*a + 32 - 16 = 0. What is the units digit of a?
2
Suppose 11*f + 476 = 13*f. What is the units digit of f?
8
Suppose 2*h = 4*q + 202, -2*h + h + 4*q + 99 = 0. What is the tens digit of h?
0
Suppose -6*n + 2*n + 8 = 0, -3*v + 137 = -2*n. What is the tens digit of v?
4
Let s be 2/(-10) - 66/(-30). Suppose 3*r + s*y = -1, -4*r - r + 35 = -4*y. What is the units digit of r?
3
Suppose 0 = -2*s + 15 - 1. Suppose 0 = 2*f - 10, -2*b + 3 = -4*f + s. What is the units digit of b?
8
Suppose -3*g - 3*o + 291 = 0, -4*o = 2*g - 22 - 178. What is the units digit of g?
4
Let i = 4 - 2. Let f(v) = 4 + 2*v - 3*v**3 + 7*v + i*v**3 - 9*v**2. What is the units digit of f(-10)?
4
Let p(m) = 14*m + 1. Let q be p(1). Suppose 4*t - t = -q. Let d(z) = -z**3 - 4*z**2 + 5*z + 4. What is the units digit of d(t)?
4
What is the tens digit of 27 - ((-3)/(-2))/((-30)/80)?
3
Let y = -1 - 8. Let g(n) = -n**3 - 10*n**2 - 9*n + 4. What is the units digit of g(y)?
4
Suppose 3*a - 870 = 3*f, 6*a = a - 2*f + 1422. What is the units digit of a?
6
Suppose 0 = -2*s + y + 47, -4*y - 50 = -3*s + 28. What is the units digit of s?
2
Let h = -141 - -315. What is the units digit of h?
4
Let i(z) = z**3 + 18*z**2 + 18*z + 23. Let l be i(-17). Let b(f) = 8*f. What is the tens digit of b(l)?
4
Let w(q) = -q**2 + 2*q. Let f be (4/1)/(-2 + 3). Suppose j + 0*j = f*y - 4, -3*y + 3 = 3*j. What is the units digit of w(y)?
1
Let r = 7 - -3. Let k = -4 - -6. Suppose t - k*t + 2*w = -8, -5*t = 5*w - r. What is the units digit of t?
4
Let x(p) = -3*p + 3. Let a be x(3). Let s(u) be the second derivative of u**3/6 + 7*u**2/2 + 2*u. What is the units digit of s(a)?
1
Suppose 5*c = -0*c + 20. What is the units digit of 2*(c + -3 + 3)?
8
Let j be ((-889)/28)/((-1)/4). Suppose s - 4*m - j = -2*s, -s + m = -41. What is the units digit of s?
7
Let a(y) be the second derivative of y**4/12 - y**3/6 + 15*y**2 + 3*y. Let c be a(0). Suppose -3 + c = 3*p. What is the units digit of p?
9
Let n be 218/(-12) + 2/12. Let o be (-12)/(-1)*12/n. Let j = 15 + o. What is the units digit of j?
7
Let w = -1 + 9. What is the units digit of w?
8
Let b = -1 + -1. What is the tens digit of (-6)/(-8)*(14 - b)?
1
Let p(u) = -u**3 + u + 1. Let v be p(-2). Suppose -4*j - 14 = -5*i, 5*i - v = 3*i + 3*j. What is the units digit of (-1 + 5)*(3 - i)?
4
Suppose -p - 3*f - 2*f + 20 = 0, -f = -p - 4. Suppose 87 = -p*w + 3*w. What is the tens digit of w?
2
Let l(m) = -m + 3. Let d be l(-11). Let z = -12 + d. What is the units digit of z?
2
Let f = 68 - 24. What is the units digit of f?
4
Let l(r) = 14*r**2 + r. Let z be l(-1). Suppose -3*w + 2 = 2*b - z, 21 = 2*b - 3*w. What is the units digit of b?
9
Suppose -2*d + 7 - 5 = 0. Let o be -1 + 7 + (0 - 1). Suppose -d = 4*f - o. What is the units digit of f?
1
Let l = -34 + 54. What is the units digit of l?
0
Let t be (-2)/5 - 27/(-5). Suppose 3*f - 2 = 4. Suppose t*j - 28 = f. What is the units digit of j?
6
Suppose -8*p + 439 = -257. What is the units digit of p?
7
Let z = 43 - 31. What is the tens digit of 79/3 - 4/z?
2
Suppose 2*t = t. Suppose t = 3*a - 6*a + 33. What is the units digit of a?
1
Let p be (-14)/18 - 4/18. Let g(n) = 17*n**2 + 1. Let w be g(p). Suppose -w = -2*h - 0. What is the units digit of h?
9
Let g(j) be the first derivative of j**4/4 + 4*j**3/3 - 3*j**2/2 - 3*j + 3. What is the units digit of g(-3)?
5
What is the units digit of (-337)/(-6) + 2/(-12)?
6
Suppose 0 = -3*w + 310 + 8. What is the hundreds digit of w?
1
Let m(t) be the third derivative of -t**4/8 + t**3/2 + t**2. What is the tens digit of m(-3)?
1
Let n(m) = -m**2 - 2*m + 8. Let s be n(-6). Let f = -8 - s. Suppose -4 = v - f. What is the units digit of v?
4
Let f be (-24)/(-3)*(1 + 0). What is the units digit of (-3)/4 + 62/f?
7
Suppose m = -w + 9, -30 = -m - 3*m - 2*w. Suppose 0*a - a + m = 0. Suppose 4*j - j - a = 0. What is the units digit of j?
2
Let k be (168/32)/((-3)/(-20)). Let m = k + 12. What is the units digit of m?
7
Let t(v) = v**3 + 6*v**2 - 4*v - 7. Suppose 0 = -4*c + 3*c - 6. What is the tens digit of t(c)?
1
Let v = -77 + 164. What is the tens digit of v?
8
Suppose -3*x = 2*x + 5*v - 385, -5*x + 395 = 3*v. What is the units digit of x?
2
Let t(w) = w**2 - 2*w - 8. What is the tens digit of t(-5)?
2
Suppose 49 = -5*t + 184. What is the units digit of t?
7
Let k(o) = o**3 + o**2 + o + 2. Let i be k(-2). Let j = 5 + i. What is the units digit of (j/2)/((-2)/(-24))?
6
What is the hundreds digit of (1 - 2) + 222 - (-7 - -10)?
2
Let k = -2 - -5. What is the units digit of 69/6*(-1 + k)?
3
Let s be (-6)/27 + 146/9. Let x = s + -7. What is the units digit of x?
9
Let n be (0 - 1) + (61 - 7). Let v = -37 + n. What is the units digit of v?
6
Suppose 3*m
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 15*c**2 + 34*c - 15. Let n be h(-12). Let d be 34/(-2)*(-10 + n). Solve -5*l + 12 = -l, 0 = 2*r - 3*l + d for r.
-4
Suppose 2*v = -w + 3, -2*v + 167*w - 170*w = -9. Solve -x + 4*r = 3*r - 3, v = 3*r + 3 for x.
2
Let h be 2/(-1*1) - (10 + 26 - 57). Solve -14*x + h*x = 2*f - 6, -x + 3 = f for x.
0
Let h(b) be the first derivative of -29*b**2/2 - 96*b - 45. Let f be h(-4). Solve -f = -5*g, 3*p - 4*g + g = 0 for p.
4
Suppose -3*t - 2*d + 9 = 0, -3*t + 825*d - 828*d + 6 = 0. Solve 4*n + 2 = t*z + 3, -2*z = 2 for n.
-1
Suppose 0 = -25*k + 38*k + 39. Let w(d) = -24*d - 70. Let i be w(k). Solve 0 = 5*q + l - 19, -i*q - l = 3*l - 22 for q.
3
Suppose 0 = -m - 7*v - 32, 23*m - 2*v - 13 = 22*m. Solve 12 = y + m*o, 5 = y + o - 1 for y.
3
Let h(z) = -42*z + 373. Let c be h(8). Suppose 0 = -c*v - 27*v. Solve 2*j - 2 = -v*g + 2*g, j + 11 = 4*g for j.
5
Let g be (-62)/(-2) - 70*(-2)/(-20). Solve 3*o = -2*m - 22, 0 = -51*m + 47*m - o - g for m.
-5
Suppose -4*p - 24 = -100. Suppose -1978*y + 1973*y = -15. Suppose d = -3*d + 16. Solve -d*j - p = w - 6, -y*j = 5*w + 31 for w.
-5
Let b be (-231)/(-18) - 13 - (-3 + 28/(-24)). Solve b = 2*r, 5*i - 2*r = r - 31 for i.
-5
Let y = 8 - 6. Suppose -2*z = y*z - 148. Suppose 0 = -2*n - 2*o + 16, 0*n + 4*o = -5*n + z. Solve q = -4*u - 18, n*q + 6 = -u + 2*u for u.
-4
Suppose 4*d + 4*m = d + 116, 0 = 3*d + m - 101. Solve -5*f = -20, 0 = -36*k + d*k - 2*f + 20 for k.
3
Let q(f) = 15*f + 11 + 19*f**2 - 8*f**2 + 3*f**3 - 4*f**3 - 5*f**2. Let p be q(8). Suppose 0*j + p*j - 48 = 0. Solve 4*k - 11 = 5*x, -4*k - 2*x = -j - 2 for k.
4
Suppose 4*m = 225 - 209. Solve 13 = -m*n - 3*x, -x = -n - 5*x for n.
-4
Let k(g) = 7*g + 116. Let t be k(-16). Let n be t/3*(-1 - (-35)/14). Solve -3*h - 2*h = 0, 5*h = n*l + 4 for l.
-2
Suppose 5*n + 68*c - 17 = 67*c, -2*c - 8 = -4*n. Suppose 2*w - 7*x + n*x - 30 = 0, 3*w = -5*x + 67. Solve -5*d = -5*v - 10, 0 = 5*v - 2*d + w - 3 for v.
-4
Let u be 13 + 19 + -24 + (0 - 1). Solve -3*o = 4*f - 25, -9*f = -5*f - 3*o - u for f.
4
Suppose -27*h + 36 = -18*h. Let j be 27*h/24 + 1/2. Let p = 11 + -7. Solve 0 = -j*a, -5*a - p = -2*d - 0 for d.
2
Suppose 4*f + 4*o = -8, 13*f = 16*f - 4*o - 29. Solve 3*a + 3*v + 18 = 0, -a - 16 = f*v - 6 for a.
-4
Suppose 4*i = 5*r + 1907, -5*r + 2202 = 3*i + 728. Let m = i - 478. Solve 4 - 16 = 5*n + c, m*n = -5*c for n.
-3
Suppose -4*b - 2*k + 11 = -k, -2*b - 2*k = -10. Suppose -5 - 11 = -8*r. Let f be 24/96 + r/(-8). Solve -5*p + f*p - 5 = -b*t, -2*p = 4*t + 2 for t.
0
Suppose 2*h + 4*m - 18 = 0, m = -0*h + 3*h + 8. Let y be (14/3*-3)/h. Solve 5*v + 15 = -5*p, -5*v = 3*p + p + y for p.
-1
Let j be (1/(-2))/((-1)/20). Suppose 3*n - 131*l = -129*l + 13, -2*n = -3*l - 2. Solve 2*p - j = 2*t, -3*p + 2*t + 10 = -n*p for p.
0
Suppose 0 = -5*z + 5*k + 65, -21*z + 20*z + 4*k + 40 = 0. Solve -4*j = -z*o + 16, o - 12 = -2*o - 3*j for o.
4
Suppose 25*d - 10*d = -46*d + 305. Solve -z + d*q = z + 8, 4*z + 16 = 2*q for z.
-4
Let s = 33366 - 33354. Solve -3*b - 3*k + s = 15, -2*k = -b + 14 for b.
4
Let k = 37 + -33. Let x be (-2 - -1) + 2 + k + -9. Let n be 0*4/(-48)*x. Solve n*a + 15 = -l - 5*a, 5*a = 5*l - 45 for l.
5
Let p be -29*(-5 + 4 - 9). Let v = p - 280. Solve 0 = -4*i - v - 2, 0 = -3*l - 2*i + 9 for l.
5
Suppose 2*j = b + 3*j - 9, 0 = -2*j - 6. Solve -4*n = -2*o - 16, -o + b = -20*n + 23*n for o.
0
Suppose i + 2*r - 39 = 0, 257*i + r = 256*i + 41. Solve 0 = 2*k + 4*d - 14, -k + i*d - 44*d + 2 = 0 for k.
-3
Suppose 0 = -18*w + 1571 - 1517. Solve -w*u = -2*h - 11, -14 - 6 = -4*u for h.
2
Suppose 8727 = 7*x + 8559. Solve x = -3*d + 3*t, -2*t = 4*d + 10 - 2 for d.
-4
Let q be 1368/135 + 18/(-135). Solve -x - 5*m - 21 = 0, -2*x + 12*m = q*m - 6 for x.
-1
Let c(a) = 2*a**3 - 66*a**2 + 67*a - 94. Let k be c(32). Solve 3*x + 5 - k = 0, 3*x + 6 = u for u.
3
Let i be 2 + 21/(-3) + 5. Solve -5*u = -2*l + 20, i = -4*l - 0*l for u.
-4
Let y(j) = 7*j - 113. Let v be y(-17). Let q = 265 + v. Solve -2*b - 21 = 2*b + s, 0 = 2*b + 5*s + q for b.
-4
Let z = 7 - -5. Let s(k) = k**2 + 12*k + 39. Let b(f) = f**3 + 3*f**2 + 5*f + 1. Let j be b(-2). Let m be s(j). Solve 0*o = m*o + z, 3*o = -4*y - 29 for y.
-5
Let x(l) = -l**2 + 32*l + 37. Let c be x(33). Solve 0 = c*w + 2 - 6, -w = -s for s.
1
Let w be (-2)/(-9) - 12/54. Suppose 0*n - 3*n = w. Let x = -57 + 71. Solve -x = -2*m - 5*q, -2*m + n*q = 2*q - 2 for m.
-3
Let o(i) = -12*i + 24. Suppose u = 5, -y = -u + 1 + 2. Let g be o(y). Solve 2 = 2*n - a, 9*n - 4*n - a + 1 = g for n.
-1
Let g be 0*(6/(-14) - 140/(-98)). Suppose 3*p - 21 = -4*q, -q + 1 = 2*p + 3*p. Let r be (-4)/(-10) + q/(-15). Solve 3*b = 0, 2*h + r*b + b = g for h.
0
Let b(g) = 65*g - 191. Let x be b(3). Solve 0 = 5*p - x*j - 45, 3*p + 0*j + j - 10 = 0 for p.
5
Let x(v) = -v**3 - 8*v**2 + 22*v + 18. Let w be x(-10). Let y(d) = 4*d**2 + 10*d + 6. Let u be y(w). Solve -3*b - 23 = -o - 3*o, 2*b + u = 0 for o.
5
Suppose -12 = 152230*f - 152234*f. Solve -7 = -f*h - t - 13, -2*t = 3*h + 9 for h.
-1
Suppose -5*l - 25 = -15. Let g be -1 + (12/4 - l) - 0. Solve -2*u = -g*t + 2, 0 = 5*u - t - 2*t - 9 for u.
3
Suppose -f - 8 = -4*v + 3*f, 0 = -2*v + 3*f + 2. Let i be 0 - v*4/(-8)*1. Suppose 9 = j - i. Solve 4*n + l = j, 5*n + l - 4 = 11 for n.
4
Let b = -206 + 211. Let j(q) = -q**2 + 4*q + 9. Let k be j(b). Solve -k*f = -5*t + 2*t + 5, 5*t = 5*f for f.
-5
Suppose -4*d = -127 - 113. Let s be d/(24/4)*(-1)/(-2). Suppose s*i - 10*i = -75. Solve 0*h = 5*h + 5*v - i, -23 = -5*h - v for h.
5
Suppose 2*g - 3876*l + 3881*l = 10, -5*l = g - 5. Suppose 0 = -2*o + 3*z + 32, 2*o = 2*z - 4*z + 12. Solve 3*v - 4*u + o = 0, g*v + 4*u = 2*u + 18 for v.
2
Suppose -m - 5*t + 30 = 0, 2*m - 1 = 5*t - 16. Let d(b) = 4 - b + 0 - m. Let a be d(-6). Solve -n + 10*j = a*j - 23, 20 = -5*j for n.
3
Suppose 3*f + b = 9, -3*b + 6 = -3. Let h be 40/5 - (f - -1). Solve 2*m - 3*m = 2*a - h, -4*m = -2*a for m.
1
Let c be (-11)/1*453/(-1661). Solve 2*d - 10 = -c*j + 5*j, 3*j - 4*d + 15 = 0 for j.
-5
Suppose -19 = -r + a + 3*a, -5*a + 120 = 5*r. Suppose 5*w + 13 = -k, 3*w - 8*w = -4*k + r. Solve -m + k = -2*y, -4*m = -y - 3*m for y.
-2
Let g = 825 + -399. Let p be (-12)/20 + g/10. Let d = -39 + p. Solve 5*m = v - 5*v, -d*m - v = -7 for m.
4
Let r(b) = -3*b**3 + 28*b**2 - 11*b + 23. Let k be r(9). Solve -2*s - 7 = -v, 3*v + 15 = 7*v + k*s for v.
5
Suppose 0 = 3*g + g + 4*y - 8, -3*y - 6 = -g. Let a be (11 - 20)*(-82)/9. Let j = a - 82. Solve j = 4*b - 12, -g*b + 1 = -c - 5 for c.
3
Let n(d) = d**3 - 4*d**2 + 7*d - 8. Let g be 8 - 1 - (-2 - 4)/(-6). Suppose -7*k + g = -15. Let q be n(k). Solve 2*r - 2 = 0, 3*x = 6*x + q*r - 4 for x.
0
Let a(z) = -4*z**3 - 19*z**2 - 16*z - 4. Let c be a(-4). Let j = 21 + -12. Suppose 7*o = 4*o + j. Solve -2*l - 2*f + c = 0, f = -l + o*f for l.
4
Suppose 2*d + 3*b + 8 = 24, -4*b - 24 = -3*d. Solve n + 0*n + i = 3, -4*i - d = 0 for n.
5
Let d be (-39)/(-63)*3 - 13/(-91). Suppose 2*m - 14 = d*l, 5*m - 7*m - 5*l - 14 = 0. Solve -m*f = 3*k, -2*k + 3*k - 2*f - 9 = 0 for k.
3
Let c be 1/((-9)/(-6))*3. Let s = -10283 + 10287. Solve s*d = -5*g + c, 5*d - 22 = 2*g - 3 for d.
3
Suppose 2*p - 563*l + 561*l - 10 = 0, -l - 13 = -3*p. Solve 20 = -4*r + c - p*c, -r = 2*c + 5 for r.
-5
Let a be -6*((-4)/42*-7 - -18). Let h be a/(-21) + ((-16)/(-6))/(-2). Solve -5*t + 16 = -0*r - 3*r, 0 = -4*t + h*r + 8 for t.
5
Let t be 14/2 + -2 + -1. Suppose 3*y + 1 = 2*y - l, 0 = y - 5*l - 5. Suppose y = 4*a - 88 + 80. Solve 0 = -a*v + g - 2*g + 10, -g - 8 = -t*v for v.
3
Let p be (12/(7 - 1))/(-2). Let l(q) = -3*q**3 - 3*q**2 + q + 1. Let x be l(p). Solve 0 = 5*u + g, u = -g + 4 - x for u.
-1
Suppose -10*q = 99 - 139. Solve 20 = 11*p - 10*p + 3*i, q*p - 3*i = 5 for p.
5
Let n(c) = -c**3 + 15*c**2 + 52*c + 43. Let i = -141 + 159. Let q be n(i). Let k(d) = -d - 1. Let b be k(-1). Solve 3*p + v = b, -5*p - 4*v = -0*p + q for p.
1
Suppose 107*k + 101*k - 196*k - 24 = 0. Solve 10 = -k*f, 4*i + 0*f - 5*f - 41 = 0 for i.
4
Let j be -3 + (-1 + -2 - -9). Let c(a) = -a**3 + 13*a - 16. Let p be c(2). Solve 5*n = 4*y - 18, -j*n + 5*n - p*y = -8 for n.
-2
Let j = 95 + -31. Suppose 229 = -3*x + j. Let u = 57 + x. Solve 0 = -5*f - 15, -u*d + 4*f - f + 17 = 0 for d.
4
Suppose 28 = -i - 5*y, 3*i = -i - 4*y - 48. Let s = i - -13. Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
etters picked without replacement from ddbibddbdiiibb. What is prob of picking 2 d and 1 b?
25/182
Three letters picked without replacement from {h: 1, m: 2, j: 1}. Give prob of picking 1 h, 1 m, and 1 j.
1/2
Three letters picked without replacement from {c: 2, s: 4}. What is prob of picking 2 s and 1 c?
3/5
Calculate prob of picking 2 x and 1 y when three letters picked without replacement from {y: 1, x: 18}.
3/19
Four letters picked without replacement from {t: 5, i: 1, r: 2, a: 1, x: 1}. Give prob of picking 1 x and 3 t.
1/21
Two letters picked without replacement from ntnttnttnttttntttt. Give prob of picking 1 n and 1 t.
65/153
Three letters picked without replacement from dbbnsd. What is prob of picking 2 d and 1 n?
1/20
Four letters picked without replacement from jjjjjpjjjjjjjjjjjjj. What is prob of picking 4 j?
15/19
What is prob of picking 1 d and 1 c when two letters picked without replacement from dddccc?
3/5
What is prob of picking 4 j when four letters picked without replacement from {j: 5, m: 7}?
1/99
Four letters picked without replacement from ttxttttttttt. Give prob of picking 1 x and 3 t.
1/3
Two letters picked without replacement from {x: 1, w: 4, b: 1, m: 2}. Give prob of picking 1 b and 1 w.
1/7
Two letters picked without replacement from {y: 10, w: 4}. What is prob of picking 2 y?
45/91
Calculate prob of picking 2 p when two letters picked without replacement from ppppyppp.
3/4
Four letters picked without replacement from {o: 2, d: 8, s: 9}. What is prob of picking 1 o and 3 s?
14/323
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {k: 3, t: 1, f: 3, r: 1, y: 2, n: 1}.
6/55
Three letters picked without replacement from {f: 2, i: 4, h: 6, r: 3}. Give prob of picking 1 r and 2 i.
18/455
Four letters picked without replacement from {l: 13, x: 6}. Give prob of picking 1 l and 3 x.
65/969
Two letters picked without replacement from jfpfjbpjfffbfff. Give prob of picking 1 f and 1 j.
8/35
Calculate prob of picking 1 i, 1 u, and 2 w when four letters picked without replacement from {i: 1, u: 1, w: 2, r: 1}.
1/5
Three letters picked without replacement from dedddedddzeezed. Give prob of picking 1 d and 2 e.
16/91
What is prob of picking 1 z, 1 j, and 1 p when three letters picked without replacement from {g: 1, p: 1, j: 2, z: 2}?
1/5
Two letters picked without replacement from gggggsggssgsgggggggs. Give prob of picking 2 s.
1/19
Calculate prob of picking 2 j and 2 x when four letters picked without replacement from uuxduujuxuj.
1/330
Three letters picked without replacement from {v: 6}. What is prob of picking 3 v?
1
Calculate prob of picking 1 n, 1 v, and 1 c when three letters picked without replacement from vccnkce.
3/35
Calculate prob of picking 1 j, 1 a, and 1 s when three letters picked without replacement from {a: 1, j: 5, o: 4, t: 1, s: 4}.
4/91
Three letters picked without replacement from {u: 3, r: 4}. Give prob of picking 3 r.
4/35
What is prob of picking 1 p and 1 h when two letters picked without replacement from hhpprhrrphp?
16/55
Calculate prob of picking 1 n and 3 v when four letters picked without replacement from {v: 1, w: 3, e: 1, n: 1, j: 1}.
0
Three letters picked without replacement from {y: 1, v: 3, j: 4, n: 2}. Give prob of picking 3 v.
1/120
Two letters picked without replacement from ycmy. Give prob of picking 1 m and 1 y.
1/3
Three letters picked without replacement from ivvvniiinnyi. Give prob of picking 3 y.
0
What is prob of picking 1 l, 1 c, and 1 q when three letters picked without replacement from {r: 1, q: 1, l: 5, c: 9}?
9/112
Two letters picked without replacement from hadbhdhhht. Give prob of picking 1 b and 1 t.
1/45
Three letters picked without replacement from aibaidu. What is prob of picking 1 b, 1 a, and 1 i?
4/35
Four letters picked without replacement from cafvjjw. What is prob of picking 1 a, 1 w, 1 c, and 1 v?
1/35
Four letters picked without replacement from {f: 2, n: 3, v: 9, i: 2, l: 3}. Give prob of picking 1 i, 1 f, and 2 n.
1/323
Four letters picked without replacement from {g: 4, k: 6, a: 2}. What is prob of picking 3 k and 1 a?
8/99
Four letters picked without replacement from uuububuu. Give prob of picking 2 u and 2 b.
3/14
Four letters picked without replacement from plupwlupupluu. Give prob of picking 3 l and 1 p.
4/715
Three letters picked without replacement from fvfvvmxivmf. Give prob of picking 2 v and 1 i.
2/55
Four letters picked without replacement from slsclpl. What is prob of picking 3 s and 1 c?
0
What is prob of picking 1 f and 1 l when two letters picked without replacement from {l: 1, f: 3, m: 3, u: 4, p: 3, j: 2}?
1/40
What is prob of picking 2 x when two letters picked without replacement from yxxf?
1/6
Four letters picked without replacement from doodordroddordoddod. What is prob of picking 1 o and 3 d?
49/323
Three letters picked without replacement from sgussuuuu. What is prob of picking 3 u?
5/42
Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, u: 7, l: 7}.
2/51
Four letters picked without replacement from smmlhmusllhshusmmu. What is prob of picking 2 h and 2 u?
1/340
Three letters picked without replacement from {j: 2, y: 1, c: 2}. What is prob of picking 2 j and 1 c?
1/5
What is prob of picking 3 b and 1 p when four letters picked without replacement from cbpbgpcbbp?
2/35
Calculate prob of picking 1 j and 1 f when two letters picked without replacement from jxjfxjjx.
1/7
Calculate prob of picking 2 z when two letters picked without replacement from {m: 2, z: 1}.
0
What is prob of picking 2 x, 1 h, and 1 r when four letters picked without replacement from {r: 3, x: 5, h: 2, j: 1, p: 1, i: 1}?
12/143
Calculate prob of picking 2 x when two letters picked without replacement from xxkkkkkskksksskk.
1/120
Calculate prob of picking 3 d when three letters picked without replacement from fffddfdfffffffff.
1/560
Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, d: 3, m: 1}.
3/14
Calculate prob of picking 1 f, 1 a, and 1 k when three letters picked without replacement from {k: 2, f: 3, a: 1, x: 1}.
6/35
Calculate prob of picking 2 r when two letters picked without replacement from frrrrffrfr.
1/3
Two letters picked without replacement from vvqqxxqxx. What is prob of picking 2 v?
1/36
What is prob of picking 1 g and 1 v when two letters picked without replacement from {g: 1, l: 5, q: 6, y: 3, e: 3, v: 1}?
1/171
Two letters picked without replacement from {u: 4, j: 4, o: 3}. Give prob of picking 2 u.
6/55
What is prob of picking 2 v when two letters picked without replacement from {x: 1, c: 6, h: 1, v: 6, y: 6}?
3/38
Calculate prob of picking 4 k when four letters picked without replacement from {k: 17, b: 2}.
35/57
Calculate prob of picking 1 e, 1 j, and 1 q when three letters picked without replacement from nneqnqqqqj.
1/24
Two letters picked without replacement from rrvvrr. Give prob of picking 2 r.
2/5
Three letters picked without replacement from vzvzl. Give prob of picking 1 v, 1 z, and 1 l.
2/5
What is prob of picking 1 d and 1 e when two letters picked without replacement from eedddd?
8/15
What is prob of picking 1 l, 1 v, and 1 h when three letters picked without replacement from hhvhhlvhvhhxkvhl?
4/35
What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 5, g: 8}?
20/39
Two letters picked without replacement from fvz. What is prob of picking 1 f and 1 v?
1/3
Four letters picked without replacement from {u: 1, r: 11}. What is prob of picking 3 r and 1 u?
1/3
What is prob of picking 1 h and 2 g when three letters picked without replacement from pgpgtphxhpxpk?
1/143
Four letters picked without replacement from {b: 2, g: 2, k: 9}. What is prob of picking 1 g and 3 k?
168/715
What is prob of picking 2 i when two letters picked without replacement from yiyiiiiiyyi?
21/55
What is prob of picking 4 t when four letters picked without replacement from {t: 4, g: 6, f: 6, i: 1}?
1/2380
Three letters picked without replacement from beve. What is prob of picking 1 v, 1 e, and 1 b?
1/2
What is prob of picking 1 c and 1 q when two letters picked without replacement from hrrbeqc?
1/21
Calculate prob of picking 1 c, 1 s, and
|
{
"pile_set_name": "DM Mathematics"
}
|
/6 - 2*o. Let w(h) be the third derivative of r(h). Solve w(y) = 0.
-2/3, -2/5, 0
Let h(z) = -79 + 15 + 45 - z**3 - 12*z**2 - 2*z. Let u be h(-12). Factor 1/4*b**4 + 1/4*b**u - 1/4*b**2 + 0 + 0*b - 1/4*b**3.
b**2*(b - 1)*(b + 1)**2/4
Let d(a) = -a**2 - a - 4. Let p be d(0). Let f = p - -8. Solve -q**4 - 7*q**4 + f*q**4 = 0 for q.
0
Let w(c) be the first derivative of 1/16*c**6 + 3 - 23/4*c**3 + 99/16*c**2 + 45/16*c**4 - 27/40*c**5 - 27/8*c. Determine s so that w(s) = 0.
1, 3
Let q(t) = t**3 + 5*t**2 + 6*t - 36. Let f(l) = -2*l**3 - 16*l**2 - 18*l + 108. Let r(a) = 3*f(a) + 8*q(a). Let r(z) = 0. What is z?
-2, 3
Let o = 81116/5 - 16223. Solve -24/5*g**2 + 2*g - 2*g**3 - o*g**4 + 5 = 0.
-5, -1, 1
Let v(k) be the third derivative of 1/180*k**5 + 9*k**2 + 0 + 0*k**4 + 0*k - 2/9*k**3. Factor v(j).
(j - 2)*(j + 2)/3
Suppose 2*k = -5*s + 31, 0*k - k + 23 = 4*s. Let b(n) = n**2 - 83*n + 2. Let a be b(0). Factor -96/5*u**s - 4/5*u + 36/5*u**a + 0 - 24*u**3 + 176/5*u**4.
-4*u*(2*u - 1)**3*(3*u - 1)/5
Let z(t) be the second derivative of t**4/54 + 41*t**3/27 + 40*t**2/9 - 30*t - 4. Determine r, given that z(r) = 0.
-40, -1
Let q(i) be the third derivative of 1/3*i**6 + 0*i**4 - 1/3*i**5 + 0*i - 5/42*i**7 + 0 + 5/336*i**8 + 0*i**3 + 12*i**2. Find m such that q(m) = 0.
0, 1, 2
Let k = 14956/5 + -2991. Determine g so that 2/5*g - 2/5*g**3 + 0 + 1/5*g**2 - k*g**4 = 0.
-2, -1, 0, 1
Let z(j) = j**2 + 6*j - 2. Let p be z(-7). Suppose -p*s + 3*s = -2. Let s - 1/2*h**4 + 3/2*h**2 + 1/2*h**3 - 5/2*h = 0. Calculate h.
-2, 1
Let p = -128030/3 - -42679. Suppose 0 - 8/3*r**2 + 1/3*r**3 + p*r = 0. Calculate r.
0, 1, 7
Let f(m) = -m**3 - 2*m**2. Let o(c) = 7*c**3 + 13*c**2 - 30*c. Let i(s) = 6*f(s) + o(s). Solve i(v) = 0.
-6, 0, 5
Let g(a) be the second derivative of 0 + 1/10*a**6 - 30*a + 3/20*a**5 + 0*a**2 - a**4 - 2*a**3. Factor g(p).
3*p*(p - 2)*(p + 1)*(p + 2)
Factor 4*d**3 + d**4 + 4*d**3 + 2*d**3 - 3*d**3 + 144 - 96*d - 8*d**2 + d**3.
(d - 2)**2*(d + 6)**2
Let t be -12 - 224/(16/(-1)). Factor 0 + 1/6*n**t - n + 1/6*n**3.
n*(n - 2)*(n + 3)/6
Suppose 18*h + 2*h**5 - 108 + 144*h**2 + 68/3*h**4 + 92*h**3 = 0. What is h?
-3, 2/3
Factor -16/3 - 10/9*x + 2/9*x**2.
2*(x - 8)*(x + 3)/9
Let h(l) be the second derivative of l**7/63 - 2*l**6/45 + l**4/9 - l**3/9 - l + 120. Solve h(n) = 0 for n.
-1, 0, 1
Suppose -2*c + 3*q - 12 = 0, 158 - 173 = -7*c + q. Factor 4*o - 4/3*o**5 - 8/3*o**2 - 4/3 - 8/3*o**c + 4*o**4.
-4*(o - 1)**4*(o + 1)/3
Let i(x) be the third derivative of -1/48*x**4 + 0 - 1/36*x**3 - 39*x**2 + 0*x - 1/720*x**6 - 1/120*x**5. Factor i(u).
-(u + 1)**3/6
Let b = 6 - 4. Suppose 451*p - 453*p + 6 = 0. Factor p*y**b - 3/2 + 21/4*y.
3*(y + 2)*(4*y - 1)/4
Let o(v) be the second derivative of v**5/30 - v**4/18 - 7*v**3/3 + 15*v**2 + 6*v - 14. Factor o(h).
2*(h - 3)**2*(h + 5)/3
Let a = 43 - 35. Solve 16*y**4 + 14*y**3 + 47*y**3 - 12*y - 16*y**5 - 17*y**3 - a*y - 16*y**2 + 8 = 0.
-1, 1/2, 2
Let a(o) be the third derivative of o**5/210 + 23*o**4/84 - 50*o**3/21 + 55*o**2 + 2*o. Factor a(f).
2*(f - 2)*(f + 25)/7
Let y(w) = -875*w + 6127. Let p be y(7). Determine r so that -3*r**2 + p*r - 1/3 = 0.
1/3
Let s = 6 - 1. Let d(t) = -9*t**2 + 11. Let o(v) = -10*v**2 + 10. Let b(q) = s*o(q) - 6*d(q). Factor b(f).
4*(f - 2)*(f + 2)
Suppose 10*k - 752 + 72 = 0. Let y = k + -202/3. Factor 0 + 2/3*m**3 - 2/3*m - y*m**4 + 2/3*m**2.
-2*m*(m - 1)**2*(m + 1)/3
Let a(m) = 3*m**2 - 4*m + 1. Let k(j) be the second derivative of j**4/12 - j**3/6 + 6*j. Let x(y) = a(y) - 4*k(y). Solve x(b) = 0.
-1, 1
Let x(u) be the first derivative of -2/5*u - 2/15*u**3 + 2/5*u**2 - 10. Solve x(d) = 0.
1
Let k(l) be the first derivative of -l**5/20 - l**4/4 + l**3 + 4*l**2 - 16*l - 225. Let k(c) = 0. Calculate c.
-4, 2
Let l(h) be the second derivative of -1/12*h**3 - 7*h + 0 + 1/40*h**5 + 1/24*h**4 - 1/60*h**6 + 0*h**2. What is y in l(y) = 0?
-1, 0, 1
Let g(p) = 4*p**2 - 23*p - 27. Let w(a) = a**2 - 1. Let d(r) = -3*g(r) + 15*w(r). Let d(q) = 0. Calculate q.
-22, -1
Let i(g) be the second derivative of -g**6/330 + g**4/22 - 4*g**3/33 + 3*g**2/22 + 52*g - 1. Factor i(w).
-(w - 1)**3*(w + 3)/11
Factor 175 + 54*p + 0*p**2 - 84*p + 7*p**2 - 2*p**2 - 150*p.
5*(p - 35)*(p - 1)
Let l be 5 + 2*(-25)/10. Factor l*c + 4/7*c**5 + 0*c**4 - 12/7*c**3 + 8/7*c**2 + 0.
4*c**2*(c - 1)**2*(c + 2)/7
Let k(a) be the third derivative of a**6/200 + a**5/100 - 114*a**2. Find o, given that k(o) = 0.
-1, 0
Let l(t) be the third derivative of t**7/840 + 23*t**6/480 + 47*t**5/80 + 77*t**4/96 - 121*t**3/12 - 5*t**2 + 7*t. Suppose l(x) = 0. What is x?
-11, -2, 1
Determine s so that 1/3*s**5 + 0*s + 0 + 4/3*s**4 + 2/3*s**2 + 5/3*s**3 = 0.
-2, -1, 0
Let w be -474*(-4)/264 - (-4 - -11). Factor 0 - 2/11*i - w*i**2.
-2*i*(i + 1)/11
Suppose 3*h = 48 + 243. Suppose -5*j - 3*t + h = 31, j = -3*t + 18. Factor 7 - j*y + 6 + 24*y**3 - y**2 - 11 + 11*y**2.
2*(y + 1)*(3*y - 1)*(4*y - 1)
Let j(r) be the second derivative of -r**6/45 - 2*r**5/15 + r**4/6 + 14*r**3/9 + 8*r**2/3 + 29*r - 2. Let j(f) = 0. Calculate f.
-4, -1, 2
Let r(y) be the second derivative of -y**6/120 + y**5/20 - y**4/16 - 95*y - 2. Factor r(t).
-t**2*(t - 3)*(t - 1)/4
Let q(c) be the third derivative of 0*c + 1/56*c**4 + 0 + 13*c**2 + 1/42*c**3 + 1/210*c**5. Factor q(y).
(y + 1)*(2*y + 1)/7
Let b(k) be the first derivative of -2*k**6/15 + 8*k**4/5 - 8*k**3/5 - 14*k**2/5 + 24*k/5 - 631. Suppose b(w) = 0. Calculate w.
-3, -1, 1, 2
Let c(d) be the second derivative of d**5/420 + d**4/56 - 3*d**2 - 12*d. Let i(r) be the first derivative of c(r). Find g such that i(g) = 0.
-3, 0
Let i(d) be the second derivative of -d**4 - 3*d - 3/20*d**5 + 0 + 0*d**2 - 2*d**3. Factor i(n).
-3*n*(n + 2)**2
Let w(g) be the third derivative of g**8/168 + 3*g**7/70 + 13*g**6/120 + g**5/10 + 56*g**2. Factor w(s).
s**2*(s + 1)*(s + 2)*(2*s + 3)
Let -606*u**2 - 10*u**3 + 11*u**3 + 597*u**2 + 16 + 6*u = 0. What is u?
-1, 2, 8
Let r = 2141 - 2136. Let o(h) = 2*h - 4. Let f be o(3). Factor 2/5*j**r + j**4 - 4/5*j**f - 4/5*j + 2/5*j**3 - 1/5.
(j - 1)*(j + 1)**3*(2*j + 1)/5
Suppose 5*b - 2*v - 110 = 3*v, -19 = -b - 2*v. Suppose -18*y + b*y = 9. Factor 0 + 0*l + 1/3*l**2 + 1/3*l**y.
l**2*(l + 1)/3
Let x(i) be the first derivative of 17 + i**4 - 4*i**2 - 1/12*i**6 + 0*i**3 + 0*i + 0*i**5. Suppose x(t) = 0. Calculate t.
-2, 0, 2
Suppose 18*z = 24*z - 12. Factor -9 + 4*s**3 + 0 + 9 + 20*s**z - 4*s - 20.
4*(s - 1)*(s + 1)*(s + 5)
Let d be (15 - 189/18)/((-12)/(-10)). Determine v, given that 0 - d*v**2 + 15/4*v**4 + 3*v**5 - 9/4*v**3 - 3/4*v = 0.
-1, -1/4, 0, 1
Let d(o) be the first derivative of 2*o**3/33 - 108*o**2/11 + 5832*o/11 - 198. Suppose d(f) = 0. What is f?
54
Let u be (-40)/12*(-126)/105. Let k(d) be the second derivative of 8*d + 0 + 3/14*d**3 + 1/28*d**u + 3/7*d**2. Factor k(r).
3*(r + 1)*(r + 2)/7
Suppose t + 2*t - 4*s = -77, -3*t - 37 = 4*s. Let h(z) = 2*z**2 + 38*z + 2. Let w be h(t). Factor 1/4*k**4 - w - 5/4*k**3 + 3/2*k**2 + k.
(k - 2)**3*(k + 1)/4
Suppose 5*y = -5*l - 30, -4*y - 147*l + 18 = -150*l. What is h in y + 0*h**2 + 0*h - h**3 - h**4 - 1/4*h**5 = 0?
-2, 0
Let r(m) be the second derivative of 2*m**6/75 - m**5/5 + m**4/5 + 2*m**3/3 - 8*m**2/5 - 77*m. Factor r(v).
4*(v - 4)*(v - 1)**2*(v + 1)/5
Let b(a) = -5*a**2 - 7*a + 1. Let q(v) = -v**2. Let c(r) = -b(r) + 6*q(r). Let g(y) = 2*y**2 - 13*y + 3. Let k(h) = 5*c(h) + 3*g(h). Factor k(z).
(z - 2)**2
Let m = -118 - -131. Suppose 8*p**2 - 29 + 19 - 12*p**3 + 2*p**4 + m*p - p = 0. Calculate p.
-1, 1, 5
Let f(z) be the second derivative of 1/20*z**5 + 0*z**2 + 14*z + 0*z**3 + 0 + 7/6*z**4. Determine v so that f(v) = 0.
-14, 0
Let c(z) be the third derivative of -8*z**2 + 0*z**3 + 1/12*z**4 + 0*z - 1/30*z**5 + 0. Factor c(i).
-2*i*(i - 1)
Find f, given that -1/3*f**5 - 1639/3*f**3 + 800/3 - 1439/6*f**2 + 1640/3*f - 161/6*f**4 = 0.
-40, -1, -1/2, 1
Let i(a) = -122*a - 968. Let z be i(-8). Find m such that 2/9*m**4 + 70/9*m**2 + 8/3*m**3 - 8/3*m - z = 0.
-6, -1, 1
Suppose 11*k + 12*k = 0. Let g(t) be the second derivative of 1/80*t**5 - 1/24*t**3 + 0 + k*t**2 + 0*t**4 - 6*t. Solve g(z) = 0 for z.
-1, 0, 1
Let z(s) = 8*s**3 + 12*s**2 - 44*s - 48. Let f(j) = j**3 + 3*j**2 - 2. Let y(m) = -12*f(m) + z(m). Factor y(a).
-4*(a + 1)*(a + 2)*(a + 3)
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
j**3/3 + 16. What is m(u(l))?
16*l**2
Let l(z) = -z. Let k(u) = -1269*u**2. Give k(l(i)).
-1269*i**2
Let c(l) = -l**2 - 5*l + 4. Let d = -17 + 12. Let x be c(d). Let q(m) = -5*m - m + 5*m + x*m. Let z(y) = -y**2. What is z(q(t))?
-9*t**2
Let w(n) = 6*n. Let s(j) be the third derivative of j**4/24 + 11*j**2. What is s(w(m))?
6*m
Let i(d) = 10*d**2. Let z(h) = -3*h**2. Let y be -2 + (6 - (1 - 1)). Let p(k) = y*i(k) + 14*z(k). Let q(w) = 5*w. Calculate q(p(s)).
-10*s**2
Let r(b) = 104*b. Let z(o) = o. Let h(a) = r(a) + 5*z(a). Let i(n) = -2*n. Determine i(h(v)).
-218*v
Let d(k) = -59*k + 26*k + 26*k. Let p(c) = -3*c. Calculate p(d(l)).
21*l
Let r(g) = -2*g**2 + 4*g**2 + 0*g**2. Let u(m) = -m**2. Give u(r(z)).
-4*z**4
Let i(f) = -161*f + 1. Let h(r) = 2*r. Determine h(i(t)).
-322*t + 2
Let c(h) = -h**2. Let j(a) = 4 - a - 4. What is c(j(i))?
-i**2
Let b(k) = -12*k. Let m(u) be the third derivative of -u**5/60 - 8*u**2. What is m(b(z))?
-144*z**2
Let t(j) = j**2 + 7*j + 9. Let i be t(-6). Let p(x) = -6*x + 3*x + x - x. Let c(o) = -5*o. Let l(s) = i*c(s) - 4*p(s). Let f(q) = 3*q**2. Determine l(f(z)).
-9*z**2
Let c(b) be the second derivative of -2*b**3/3 + 18*b. Let r(m) = -4*m**2. Calculate c(r(w)).
16*w**2
Let q(l) be the third derivative of -l**4/12 + l**2. Let a(x) = -8*x**2. Let w(b) = -b**2. Let k(c) = -a(c) + 10*w(c). Determine q(k(u)).
4*u**2
Let n(d) = -d. Let o(c) be the first derivative of c**5/20 + 3*c**2 - 3. Let u(q) be the second derivative of o(q). What is u(n(l))?
3*l**2
Let d(v) = 4*v**2. Let h(t) = -10 - 5*t**2 - 14 + 24. What is d(h(c))?
100*c**4
Let j(m) = -4*m - 4. Let b(w) = w**2. Calculate b(j(a)).
16*a**2 + 32*a + 16
Let w(m) = 2*m**2. Let v(h) be the third derivative of -h**8/10080 + h**5/30 - 3*h**2. Let a(x) be the third derivative of v(x). What is w(a(k))?
8*k**4
Let v(g) = 864*g - 1. Let d(w) = -w**2. Give d(v(h)).
-746496*h**2 + 1728*h - 1
Let s(m) = -4*m. Let b(r) = 2*r**2 + 4*r + 3. Let v be b(-2). Let c(x) = 0*x + v*x - 5*x. What is s(c(y))?
8*y
Let v(t) = 4*t**2. Let h(m) be the second derivative of m**5/60 + 3*m**2/2 - 2*m. Let o(b) be the first derivative of h(b). What is v(o(k))?
4*k**4
Let u(w) = -392*w**2. Let j(v) = 3*v. Determine j(u(h)).
-1176*h**2
Let q = 227/446 - 2/223. Let s(v) be the first derivative of 2 - q*v**2 + 0*v. Let c(y) = 2*y. What is s(c(o))?
-2*o
Let r(x) = -x**2. Suppose 0 = -4*b + 4, 5*b = -2*k + b + 26. Suppose 10 = 4*s - 5*d, -2*s - s = -2*d - k. Let h(q) = 3*q - s*q + q. Calculate r(h(w)).
-w**2
Let u(o) = -8*o. Let d(i) = i. Let l(x) = -18*d(x) - 2*u(x). Let t(m) = -26*m**2 - 5*m**2 + 25*m**2. What is l(t(p))?
12*p**2
Let z(l) = 2*l**2 - 31. Let p(h) = h. What is z(p(x))?
2*x**2 - 31
Let q(m) be the second derivative of 0 + 2*m + 0*m**3 - 1/12*m**4 + 0*m**2. Let t(k) be the first derivative of k**3 - 5. Give t(q(c)).
3*c**4
Let u(z) = -12*z + 3. Let b(x) = 31*x. What is b(u(c))?
-372*c + 93
Let n(z) = 6*z**2. Let c(t) = -36*t**2 - t. Give c(n(r)).
-1296*r**4 - 6*r**2
Let t(u) = 3*u. Let k(y) = 6*y - 15*y + 4*y + 4*y. Determine t(k(b)).
-3*b
Let o(w) = -2*w. Let b(l) = l - 1. Let j(i) = -20*i**2 + 4*i - 4. Let z(k) = -4*b(k) + j(k). Determine z(o(h)).
-80*h**2
Let v(b) = -b**2. Suppose -t + 4 = -2. Let n(x) = t*x - 4*x - x**2 - 2*x. Calculate v(n(r)).
-r**4
Let q(n) be the first derivative of 1 + 0*n + 1/2*n**2. Let w(t) = t - 2. Let v(g) = 4*g - 9. Let x(h) = -4*v(h) + 18*w(h). Calculate x(q(c)).
2*c
Let s(z) = 2*z - 3. Let x(h) = -3*h + 5. Let q(o) = -5*s(o) - 3*x(o). Let r(b) = 13*b**2. What is r(q(i))?
13*i**2
Let w(s) = s - s - 4*s. Let t(l) be the second derivative of -l**4/6 + l**3 - 4*l. Let n(v) = v. Let q(f) = -6*n(f) + t(f). Calculate q(w(p)).
-32*p**2
Let a(l) = -3*l + 3. Let k(q) = q**2. Calculate k(a(y)).
9*y**2 - 18*y + 9
Let c(l) be the first derivative of -l**3/2 - 3*l + 3. Let p(n) be the first derivative of c(n). Let g(r) = -3*r**2. Determine g(p(q)).
-27*q**2
Let n(b) = b. Let p(w) = -11*w - 6. What is p(n(j))?
-11*j - 6
Let r(i) be the third derivative of -7*i**6/720 + 7*i**4/24 - 4*i**2. Let j(o) be the second derivative of r(o). Let c(t) = t**2. Determine j(c(h)).
-7*h**2
Let z(n) = -2*n. Let c(o) = -3*o**2 + 9. Let v(j) = -1. Let u(l) = 5*c(l) + 45*v(l). Calculate u(z(s)).
-60*s**2
Let m(b) = b. Let a(q) = q + 133. Calculate a(m(s)).
s + 133
Let f be 0/(-3 + 2 + 2). Suppose -r + 10 = 4*k, 7*r - 3*r - 4*k = f. Let g(z) = -z**r - 2*z**2 + 2*z**2. Let a(l) = 2*l. Determine g(a(n)).
-4*n**2
Let u(t) = -16*t. Let o(b) = 25*b. Determine o(u(c)).
-400*c
Let w(j) = 3*j**3 - 2*j**2 + 1. Let t be w(1). Let i(k) = 1 + t*k**2 + 1 - 2. Let f(m) be the third derivative of m**5/15 - 7*m**2. Determine i(f(z)).
32*z**4
Let t(x) = -27*x**2. Let o(y) = -11*y**2. Determine o(t(h)).
-8019*h**4
Let f(j) = j. Let a(x) be the first derivative of -x**5/15 - 3*x**2/2 - 2. Let u(b) be the second derivative of a(b). Calculate u(f(h)).
-4*h**2
Let p(a) = 2*a. Let r(h) = -4*h. Let n(y) = -21*y. Let u(d) = -2*n(d) + 11*r(d). Determine p(u(i)).
-4*i
Let y(z) = -3*z**2. Let m(c) = -5*c**2 - 4. Determine m(y(v)).
-45*v**4 - 4
Let r(t) be the third derivative of t**4/6 + 9*t**2. Let k(b) = 3*b**2. Calculate r(k(h)).
12*h**2
Let h(p) = -p + 4. Let o be h(2). Let a(f) = 5*f - 3. Let w(t) = -4*t + 2. Let r(y) = o*a(y) + 3*w(y). Let s(z) = 2*z. Determine s(r(l)).
-4*l
Let c(u) = u. Let t(j) be the first derivative of 2*j**2 - 11. Calculate c(t(b)).
4*b
Let d(m) = -2*m**2. Let z(s) = -195*s**2. Determine d(z(u)).
-76050*u**4
Let w(k) = 6*k. Let d(c) = -2*c - 46. Calculate w(d(o)).
-12*o - 276
Let s be (0 - 0) + (-12)/(-3). Let x(a) = s*a - a - 4*a. Let f(h) = -7*h. Let r(y) = -y. Let p(d) = -f(d) + 6*r(d). What is p(x(m))?
-m
Let r(l) be the third derivative of 0*l + 0*l**3 + 3*l**2 + 0 + 1/24*l**4. Let q(a) = 8*a. Calculate q(r(b)).
8*b
Let m(h) = -12*h**2. Let o(v) = v**2 - v + v + v**2. Let z(s) = -6*m(s) - 34*o(s). Let i(b) be the third derivative of -b**4/24 - b**2. What is i(z(r))?
-4*r**2
Let x(f) = -101*f + 2. Let y(m) = -6*m**2. Determine y(x(n)).
-61206*n**2 + 2424*n - 24
Let t(x) = -5*x - 8. Let p(c) = -3*c - 5. Let q(g) = -8*p(g) + 5*t(g). Let o(l) = -4*l**2 - 1 + 1. Calculate o(q(r)).
-4*r**2
Let x(c) = c**2 - 9*c. Let f(n) = 2*n. Let r(h) = 9*f(h) + 2*x(h). Let p(d) = -3*d**2. Calculate r(p(b)).
18*b**4
Let m(l) = -5*l. Let o(f) = 5058 - 5*f - 5058. Determine m(o(k)).
25*k
Let x(j) = -2*j**2. Let r(w) = -15*w**2 + 5*w. Let u(s) = 8*s**2 - 2*s. Let t(z) = 2*r(z) + 5*u(z). Calculate x(t(n)).
-200*n**4
Let f be 10/4*(-4)/(-5). Let k(o) = o**2 + o + 2. Let i be k(-2). Let m(g) = 0*g**2 + i*g**2 - f*g**2. Let z(j) = -2*j. Determine z(m(r)).
-4*r**2
Let d(y) = -3*y. Let h(t) = -216*t**2. Give h(d(g)).
-1944*g**2
Let y(r) = 16*r - 24. Let k(q) = q**3 + 1. Let l be k(0). Let a(m) = m - 1. Let j(n) = l*y(n) - 24*a(n). Let h(u) = -u. Calculate j(h(x)).
8*x
Let f(i) = 283*i**2 + 1 - 1 - 281*i**2. Let y(z) = -2*z - 21. What is f(y(g))?
8*g**2 + 168*g + 882
Let a(g) = -3*g**2. Suppose -4*t + 3 = -33. Let o(b) = -t*b + 8*b - b. Calculate o(a(l)).
6*l**2
Let c(q) = -2*q. Let g(m) = -12*m - 1. Give g(c(a)).
24*a - 1
Let h(o) = 2*o. Let y(n) = -2*n. Suppose -5*r + 3*v + 20 = 5*v, -3*r - 19 = -5*v. Let j(c) = r*h(c) + 3*y(c). Let d(f) = f**2. What is d(j(q))?
4*q**2
Let b(q) = -8*q**2. Let l(x) be the second derivative of -x**3/6 + 20*x. What is b(l(p))?
-8*p**2
Let u(s) = -s. Let i(q) be the first derivative of -41*q**2/2 - 17. Calculate i(u(x)).
41*x
Let l(d) = -16*d**2 - 12. Let c(m) = 3*m. Give l(c(y)).
-144*y**2 - 12
Let j(i) be the first derivative of i**2 + 1. Let g(s) = -s. Let n(q) = -q. Let u(o) = 4*g(o) - 5*n(o). Calculate j(u(w)).
2*w
Let b(l) = 4*l. Let h = 3 - 0. Let j(r) = 10*r**2 - 8*r**2 - h*r**2. Give b(j(u)).
-4*u**2
Let o(l) = -21*l + 8*l**2 + 21*l. Let c(k) = k**2. What is o(c(y))?
8*y**4
Let o(b) be the first derivative of 3*b**2/2 + 8. Let j(r) = -3*r**2. Give j(o(n)).
-27*n**2
Let h(p) be the second derivative of -p**3/6 + 4*p. Let i(a) = -a**2 - 7*a + 7*a. Determine i(h(f)).
-f**2
Let g(l) = 30*l - 25. Let v(m) = 5*m - 4. Let u(j) = 4*g(j) - 25*v(j). Let a(k) = 2*k. Give a(u(z)).
-10*z
Let y(m) = -193*m**2. Let z(w) = 2*w. Give y(z(d)).
-772*d**2
Let d(c) = 96*c**2. Let h(f)
|
{
"pile_set_name": "DM Mathematics"
}
|
t to 2/3? (a) -12.425 (b) 0.05 (c) 49
b
Which is the nearest to -2? (a) 2/11 (b) -2/7 (c) 1590 (d) -599 (e) 0 (f) -1
f
What is the closest to -15 in 9, 1/5, -8, -1/4, -19/4, -0.4?
-8
Which is the closest to -1? (a) -1/1609 (b) -5 (c) -3/2 (d) -78
c
Which is the nearest to -0.04? (a) 9/26 (b) 0 (c) 22 (d) 8/17
b
Which is the closest to -47? (a) 17 (b) -3 (c) -145 (d) 8/25
b
What is the closest to 3/379 in -2/13, -2/5, -3/4, -1647?
-2/13
Which is the nearest to -3? (a) -296 (b) -4 (c) 106 (d) 0.5 (e) 1
b
What is the closest to 1 in 3, 33, -92, 4?
3
Which is the nearest to 2/7? (a) 1/4 (b) -1 (c) -279 (d) -1089
a
What is the closest to -3062 in -1/5, -675, -9?
-675
What is the closest to -5 in 0, -19518/59, 1/2, 2/9, -2/11?
-2/11
Which is the closest to -1? (a) 190/11 (b) -459 (c) -2/11
c
Which is the nearest to -623.3? (a) -5 (b) 5 (c) 2/35
a
Which is the closest to -8? (a) 5 (b) 1/12 (c) 0.006 (d) 12 (e) -10
e
What is the nearest to 9 in 421267, -2, 4?
4
Which is the nearest to 2? (a) -1.4 (b) -301.221 (c) 5
c
Which is the nearest to -0.04? (a) -1 (b) -2/9 (c) 2/3 (d) 3.8 (e) 51
b
Which is the closest to -1? (a) -11 (b) -0.24 (c) 2/5 (d) 26/181
b
Which is the nearest to 9? (a) -1 (b) 4/5 (c) -4262/7 (d) -2/3
b
What is the closest to -1567 in -5/4, 1/83, 4?
-5/4
What is the closest to -10 in 0, 0.3, -0.4, -34, 1/3, -14/17?
-14/17
What is the closest to -3 in 49/11, -192, -3/5, 1/3?
-3/5
What is the closest to 1/3 in 72.75, 0.2, -2, 0.06?
0.2
Which is the closest to -2? (a) -9 (b) 1 (c) 0.2 (d) -23457
c
What is the closest to 0.3 in 3.7, -3/11, 193, 0.2?
0.2
What is the closest to 24 in 3, -5631/7, 1, -3, -0.5?
3
What is the nearest to -35.19 in 4, 0.22, 0.1, 0.04?
0.04
Which is the closest to -0.5927? (a) 3/5 (b) -0.2 (c) -12 (d) 21 (e) 0.4
b
Which is the closest to -2? (a) -2/7 (b) 97191 (c) -5 (d) -12 (e) -4
a
What is the closest to 14/9 in 0.6, -0.5, 469/3, -3?
0.6
Which is the nearest to -1653? (a) 0.61 (b) -12 (c) -0.05
b
What is the nearest to 2 in -3, -34, 106, 2/13, -1/2?
2/13
What is the closest to -29 in 2.4, -16266/13, 1?
1
What is the closest to -39 in 1.3, 0.2, 37, 2/7, -6?
-6
What is the nearest to 2068 in -1033, -4, 1?
1
Which is the closest to 0? (a) 0.1 (b) -227 (c) -2213
a
Which is the closest to -6? (a) -0.06 (b) -15 (c) -7 (d) -60 (e) 1
c
What is the nearest to -0.06 in -3, 4/273, 1.6, 0.2?
4/273
Which is the nearest to -1? (a) 1/3 (b) -2/17 (c) 6 (d) 0.0338 (e) 2/5
b
What is the nearest to -1 in 0.5, -0.3, -14.2, -12, 1/194?
-0.3
Which is the closest to 0.1? (a) 3/4 (b) 0 (c) -16 (d) -18 (e) 1 (f) 931
b
What is the closest to -0.1 in 0.119, -0.03, 5960?
-0.03
Which is the nearest to 2? (a) 3/19 (b) -0.2 (c) 5 (d) -3 (e) 65
a
What is the nearest to -2/21 in -4, 9, -5, 375, -6?
-4
Which is the nearest to 3163? (a) 1 (b) 4/13 (c) 3/59 (d) -2/9 (e) 3
e
Which is the nearest to 7? (a) 0.3 (b) 7.11 (c) -149
b
Which is the closest to -757? (a) -3/5 (b) -0.3 (c) 0.3 (d) -1/3 (e) 4
a
What is the nearest to -0.2 in -3252, -5, -2, -1/3539?
-1/3539
Which is the nearest to 1/3? (a) 1315 (b) -2 (c) 129 (d) 0.1
d
What is the nearest to 2/7 in 4, -41/3, 0.1, 20037?
0.1
What is the nearest to 0 in -827, 1/30, -1?
1/30
Which is the nearest to 0? (a) 12 (b) -1/20 (c) -15 (d) -0.1 (e) 5
b
What is the nearest to -1 in -18/5, -0.043, -1/81, 5, 1/5?
-0.043
Which is the closest to 0.7? (a) 8 (b) -2/7 (c) -0.1 (d) -8145
c
What is the nearest to -0.137 in 1/4, -0.1, 0.4, -4, -1/27, -1208?
-0.1
What is the closest to 23 in -4/5, -15/56, -2/31?
-2/31
What is the closest to -25 in 2, -1.17, -5, -60, -4?
-5
What is the nearest to -6 in -0.4, -27700, 0.21, -1?
-1
Which is the nearest to -1/2? (a) 0.02 (b) -5 (c) -0.8 (d) 5 (e) -437 (f) 16
c
Which is the nearest to 3? (a) -38029 (b) 2/15 (c) -0.9
b
Which is the nearest to -1? (a) -219 (b) 19 (c) -2/9 (d) 0.5 (e) -138 (f) 0.2
c
Which is the closest to 0? (a) 33/5 (b) 1/6 (c) 5 (d) 0.75 (e) -73
b
Which is the nearest to 0? (a) 345 (b) 2/189 (c) -0.4 (d) 5
b
Which is the nearest to 3679? (a) 3 (b) -2/13 (c) -1/6 (d) 2/47 (e) 0.5
a
What is the closest to -4/757 in 1, -0.07, 2/7, -2, 2, 4?
-0.07
What is the closest to 138 in 14, -5, 0, -4, -1/2?
14
What is the nearest to 0 in 2.8, -256064, -5?
2.8
Which is the closest to 2/79? (a) -4/13 (b) -104 (c) 9 (d) -12
a
What is the nearest to 0.036 in 2/23, 0.024, -0.095?
0.024
What is the nearest to -1/8 in 20, -0.02, 1, -864?
-0.02
What is the nearest to -1 in 6.3, 1/6, 25, 6/697, 2?
6/697
Which is the closest to -3/16? (a) 3/53 (b) -0.6 (c) -2 (d) 5
a
What is the nearest to 18 in -2/9, -130, 208, -14?
-2/9
Which is the closest to 2? (a) 7 (b) 18 (c) -1/2 (d) 1 (e) -1100 (f) -4
d
Which is the nearest to 1/11? (a) -621 (b) -472 (c) 0.4
c
Which is the nearest to -706? (a) -81 (b) 14 (c) -2/3 (d) -11
a
What is the closest to -1 in -22, -1288/53, -5?
-5
What is the nearest to 1/63 in -6/13, -8, 77?
-6/13
Which is the closest to -34? (a) -1/2 (b) 77 (c) -2944
a
What is the nearest to 1652 in 4, 2/19, 896?
896
Which is the nearest to -0.4? (a) -3.072 (b) 0.84 (c) -4/3
c
Which is the closest to 1/3? (a) 0.3 (b) -0.03 (c) 211200
a
What is the nearest to -437 in -0.2, 0.4, -2107?
-0.2
Which is the nearest to -6? (a) 7274 (b) 0.4 (c) -1/6 (d) 4 (e) -0.05 (f) 1
c
Which is the closest to 0.1? (a) -3/28 (b) 21966 (c) -1
a
What is the closest to -2/55 in 0, 192, 0.37?
0
Which is the closest to 15983? (a) 3 (b) 36 (c) -1/9
b
Which is the nearest to -0.1? (a) -1 (b) 11 (c) -2/6571 (d) -0.3
c
What is the closest to -0.1 in -3, 0.09, -5, -4, 439, -0.2?
-0.2
Which is the nearest to -1/206? (a) 1063 (b) -1/2 (c) 5
b
What is the nearest to 267310 in -2/5, 12, -0.1, 2/7, 2/9?
12
Which is the nearest to -97? (a) 1 (b) 5 (c) -1.53 (d) -108
d
Which is the nearest to -2/7? (a) -2/9 (b) -4 (c) -7 (d) 0.082525
a
What is the nearest to -168 in 4, -1/7, -435?
-1/7
What is the nearest to 20.1 in 284, 6, 0.05, -5?
6
Which is the closest to -2/7? (a) -2 (b) -3/8 (c) -185 (d) -2.43
b
What is the closest to -7 in 0.3, 4, 3/2, -0.02, 1, -186?
-0.02
Which is the nearest to -3663? (a) -1 (b) -4 (c) 2/9
b
Which is the closest to 1? (a) -0.2 (b) 33 (c) -153/4 (d) -7.5
a
What is the nearest to -0.615 in 0.3, -1/4, 1, -5, -1528?
-1/4
What is the closest to -1 in -0.97, 2, 298?
-0.97
Which is the nearest to 2/7? (a) 3 (b) 2/73 (c) 2 (d) -1 (e) 3912
b
What is the closest to -1 in 5/39, 1/10, -2, -1/8, 132907?
-1/8
Which is the closest to -1? (a) -152 (b) 0.764 (c) -1/5 (d) -0.5 (e) -16 (f) -2/7
d
Which is the closest to -0.021? (a) -3 (b) 0.2 (c) 0.3 (d) -4471 (e) 0.1 (f) -1
e
What is the nearest to 2/3 in -2/5, -6, 14.01, -0.12?
-0.12
What is the nearest to 2 in -9, 0.05, 1/2, 4?
1/2
Which is the nearest to -0.2? (a) -567/5 (b) 0 (c) 2.03
b
Which is the nearest to -1? (a) -8 (b) 0.4 (c) 0.2 (d) 148 (e) 1/6 (f) 2010
e
What is the closest to -9.67 in -1, -14, 60?
-14
What is the closest to -1/30737 in 2/11, -8, -2, 1/8, -5?
1/8
What is the closest to 68 in -2/7, 94, -0.2, -2, -0.7?
94
What is the closest to 2488 in -0.36, -1/3, -66, -3?
-1/3
Which is the nearest to -0.1? (a) -1 (b) -2/9 (c) 57.16479 (d) -3
b
Which is the closest to 111? (a) 4 (b) -1 (c) -6.0473
a
What is the closest to 23 in 3, 1/4, -0.2, 7, -1/14746?
7
What is the nearest to 1/3 in -1/2, -0.4, -302, 0.24, 6?
0.24
Which is the nearest to -8.18? (a) -49 (b) 4/9 (c) 0.03 (d) 3 (e) -4
e
What is the nearest to -1763 in -19, 1, -1/4, -3?
-19
Which is the closest to -1? (a) 0.4 (b) -136.792 (c) 0.5 (d) -4/7 (e) -1/2
d
What is the closest to 0.134 in 0.2, -0.13, -4, 16, 5?
0.2
Which is the nearest to 175? (a) 20 (b) 3/4 (c) 16 (d) -2/11 (e) 36
e
Which is the closest to 2? (a) -1596 (b) 5 (c) -1/4 (d) 66
c
Which is the nearest to -1? (a) 0.3 (b) 4 (c) 3.9 (d) -5 (e) 31 (f) 30/7
a
What is the closest to 1 in 55, -2, -148, 0.09, -5?
0.09
Which is the closest to 2/7? (a) 2/11 (b) 5 (c) 42/97 (d) -13 (e) -0.1
a
What is the nearest to 1/2 in 166, 7, -0.4277, 0.3, 0?
0.3
Which
|
{
"pile_set_name": "DM Mathematics"
}
|
suming m is positive.
m**(72/25)
Simplify (v*v**0*v*v)**(19/3)/((v*v/(v**(1/2)/v))/(v/((v/((v*v**3*v)/v))/v))) assuming v is positive.
v**(43/2)
Simplify m/m**(8/5)*m/(m*m/((m**(-2/37)*m)/m*m*m)*m) assuming m is positive.
m**(-121/185)
Simplify (y**(-2))**(-13/8)/((y*y*y/(y*y**3*y))/y**(-2/3)) assuming y is positive.
y**(55/12)
Simplify q**(-8/5)*q/(q/(q**(-3/8)/q))*q**5/q**(3/5) assuming q is positive.
q**(57/40)
Simplify i**(2/19)*(i*i**(-15)*i)/i assuming i is positive.
i**(-264/19)
Simplify v/(v/v**26)*v**31 assuming v is positive.
v**57
Simplify (t/(t/t**(-14)))/t*t*t*t**7 assuming t is positive.
t**(-6)
Simplify (m*m/m**(-5))/m**(-7) assuming m is positive.
m**14
Simplify (o/o**(-2/17)*o*o*o**(-11)*o)**(-12/11) assuming o is positive.
o**(1404/187)
Simplify (j**(2/7)/j)**(-7/6)/(j**(1/3))**48 assuming j is positive.
j**(-91/6)
Simplify (a/(a/(a/(a/a**(3/11)))))/(a*a*a/(a**0/a)*a) assuming a is positive.
a**(-52/11)
Simplify (f**(3/4)*f/(f/(f*f/(f**(-6)/f))))**(-1/2) assuming f is positive.
f**(-39/8)
Simplify (d**(-4)*d*d**(-7))/(d/(d/d**(2/5))*d)**(-4) assuming d is positive.
d**(-22/5)
Simplify f**10*f/(f**(3/2)/f) assuming f is positive.
f**(21/2)
Simplify (y**2/(y/(y**(3/8)*y*y)))/(y/y**(4/7)*(y/(y*y**(-2/11)*y))/y*y) assuming y is positive.
y**(2319/616)
Simplify j*j/(j/(j**5/j*j))*(j*j**7)/j*(j*j/(j**(1/4)/j)*j)/(j*j/j**6) assuming j is positive.
j**(83/4)
Simplify (s**0)**32*s**5*s**(-2/11)/s assuming s is positive.
s**(42/11)
Simplify r/(r*r**(-6))*r**5*(r/(r*r**(-2/19)))/r**(1/11) assuming r is positive.
r**(2302/209)
Simplify ((n*n/n**(1/4))/n)**(-13) assuming n is positive.
n**(-39/4)
Simplify (a*a*a**(-2/3)*a)**40*((a/(a/(a**(-1)*a*a)))/a*a)/(a*a**(-5)) assuming a is positive.
a**(295/3)
Simplify (w*w**(1/3))**47 assuming w is positive.
w**(188/3)
Simplify (h*h**(1/3)*h)**(-34) assuming h is positive.
h**(-238/3)
Simplify ((j*j**(-1))/j)**(-26)/((j**2/j)/j*j*(j/(j/j**(-7)))/j) assuming j is positive.
j**33
Simplify (p/p**(-2/7))**(-2/133)*(p/(p*(p/p**(-1))/p*p*p*p*p))**(-24) assuming p is positive.
p**(111702/931)
Simplify (n/n**(-2/9)*n*n/(n**(-1)*n)*n)/(n**(-1/4)/(n**(-1/5)/n)) assuming n is positive.
n**(589/180)
Simplify (x**(-10))**(-44) assuming x is positive.
x**440
Simplify ((o**(-1))**(-1/17))**48 assuming o is positive.
o**(48/17)
Simplify (t*t/(t/(t*t**0*t)*t*t)*t*(t*(t/t**(-1/17)*t)/t)/t)**(-10/7) assuming t is positive.
t**(-520/119)
Simplify b*b*(b*b/(b/(b/(b*b*b*b**(-25)*b*b))*b)*b)/b*b**(-13/2) assuming b is positive.
b**(33/2)
Simplify (f/f**(3/4)*(f**(-6)/f)/f)/(f**(-6)/f*f**(2/5)/f) assuming f is positive.
f**(-3/20)
Simplify x**(-2/3)/(x/x**(-6))*(x*x*x**(-2/15))/x*x*x/(x/x**(-1)) assuming x is positive.
x**(-34/5)
Simplify c*c*c**17*c**(-10) assuming c is positive.
c**9
Simplify ((i**(-2/3)/i)/(i**(-1/22)/i))**(-47) assuming i is positive.
i**(1927/66)
Simplify ((v*(v**(2/7)/v*v)/v)/v*v)**(-48)*v*v**(-1/2)/v*v**(2/17)*v assuming v is positive.
v**(-3117/238)
Simplify (a/a**16)/a*a*a*a*a**(1/67) assuming a is positive.
a**(-870/67)
Simplify (d**(-2/33)*d*d/(d/(d**(-13)*d)))**40 assuming d is positive.
d**(-14600/33)
Simplify f**(2/19)*f**(-12) assuming f is positive.
f**(-226/19)
Simplify (((o**(3/7)*o)/o*o)**(-35))**(1/7) assuming o is positive.
o**(-50/7)
Simplify l*l/l**1*(l*l**1)/l*l*l**(-1/3)*l*l*l/l**(-1) assuming l is positive.
l**(20/3)
Simplify h*(((h/h**(-26))/h)/h)/h*h*h*h/h**(-22) assuming h is positive.
h**50
Simplify l/(l*l**(-29))*l*l*l/(l/l**(-2/17))*l assuming l is positive.
l**(542/17)
Simplify (q/q**(-6/5))**(1/22) assuming q is positive.
q**(1/10)
Simplify (m*m**(-2))**17*m/((m*m*m/(m*m**(2/5))*m*m*m*m)/m)*m**(2/7) assuming m is positive.
m**(-711/35)
Simplify ((m**(-1))**(1/14))**(-36) assuming m is positive.
m**(18/7)
Simplify ((p/(p*p*p/p**(1/3)*p*p)*p)**14)**(-6/5) assuming p is positive.
p**(224/5)
Simplify (m*(m/(m**(-3/16)/m))/m)/m*m**23 assuming m is positive.
m**(387/16)
Simplify ((b/(b/((b**(-4)*b)/b*b)*b))/b)/b**(-4/7)*((b*b/b**(4/5))/b)/b**(7/5) assuming b is positive.
b**(-197/35)
Simplify (v**0)**(1/14) assuming v is positive.
1
Simplify j**(-4/5)/j*j*j**(20/9) assuming j is positive.
j**(64/45)
Simplify (s**2)**(-1/19)/(s/s**5*(s*s*s**(4/5)*s*s)/s) assuming s is positive.
s**(9/95)
Simplify (x**(-4))**(-2/7) assuming x is positive.
x**(8/7)
Simplify w**(-1)/(w**0*w*w)*(w*(w*w*w/(w/(w**4/w))*w)/w)/(w*w**(-2/7)*w) assuming w is positive.
w**(9/7)
Simplify t**(1/2)/(t/(t/t**4)) assuming t is positive.
t**(-7/2)
Simplify (l**(1/2))**46*l**(-1)*l*(l*(l*l*l**(-1/4)*l)/l)/l assuming l is positive.
l**(99/4)
Simplify (j**10*j)/j*j*j**(-22) assuming j is positive.
j**(-11)
Simplify (y**(4/7)*y**(-1/5)*y)**(-2/17) assuming y is positive.
y**(-96/595)
Simplify ((((f**(6/7)/f*f)/f)/f*f)/f)/f**18 assuming f is positive.
f**(-134/7)
Simplify l**(-4)/((l*(l*l**(-12))/l)/l) assuming l is positive.
l**8
Simplify (p*p**20*p**(1/17))**(-22) assuming p is positive.
p**(-7876/17)
Simplify g**5*g**25 assuming g is positive.
g**30
Simplify n**0*n*n**3*n*(n*n/n**0*n)**(-42/5) assuming n is positive.
n**(-101/5)
Simplify (((y**(1/36)*y)/y)/y*y**(-1/9))**20 assuming y is positive.
y**(-65/3)
Simplify (w/(w/w**2))**3/(w**0/w**(-9)) assuming w is positive.
w**(-3)
Simplify (z*z/(z/z**(-2)*z*z)*z**1)**(-25) assuming z is positive.
z**50
Simplify (d*d**(1/5)*d*d*d*d)/(d/d**(-2/9))*(d/(d*d/(d**(-1)/d))*d)**(-12) assuming d is positive.
d**(1259/45)
Simplify (b/(b*b*b**4*b*b)*b**(5/6))/(((b*b**1*b)/b)/(b/(b*b**(2/3)*b))) assuming b is positive.
b**(-59/6)
Simplify (z**(-10)*z**9)**(1/21) assuming z is positive.
z**(-1/21)
Simplify (((i**(-8)*i)/i)/i*i*(i/i**0)/i)/(i**(-1))**(2/123) assuming i is positive.
i**(-982/123)
Simplify ((x*x**(1/6)*x)/x*x**(-2/9)/x)/(x**(-6)*x**6) assuming x is positive.
x**(-1/18)
Simplify ((c**1)**(-25/2))**(14/13) assuming c is positive.
c**(-175/13)
Simplify x**(-8)*x**(-30) assuming x is positive.
x**(-38)
Simplify z**(2/31)/z**(1/2) assuming z is positive.
z**(-27/62)
Simplify ((z*z**(-5)/z*z)/z)**(1/13) assuming z is positive.
z**(-5/13)
Simplify b**(-2)/b**(-2/3)*(b*(b*b**(-1)*b*b)/b)**(-3/7) assuming b is positive.
b**(-46/21)
Simplify ((d/(d*d*d**(-12/11)))/(d/((d/d**(-13))/d)))**(-32) assuming d is positive.
d**(-4256/11)
Simplify (o*o/(o**(-3/2)*o*o)*o*o)/o**1 assuming o is positive.
o**(5/2)
Simplify (m**(-3)/(m**6*m))**(-2/3) assuming m is positive.
m**(20/3)
Simplify q**10/(q*q**(3/5)*q) assuming q is positive.
q**(37/5)
Simplify u/(u/u**(2/7))*(u**21*u)/u assuming u is positive.
u**(149/7)
Simplify ((n*n/((n*n**1*n)/n)*n)/(n/((((((n/n**(-6))/n)/n)/n)/n)/n)))/(n*n*n**1*n**(2/5)*n) assuming n is positive.
n**(-12/5)
Simplify (s*((s*s**(-1))/s)/s)**(-23)/(s**(-1/2)/s**5) assuming s is positive.
s**(57/2)
Simplify ((i/(i/(i*i*i**(2/13))))/i**(-3/10))**35 assuming i is positive.
i**(2233/26)
Simplify (a**(-2))**(5/11) assuming a is positive.
a**(-10/11)
Simplify ((p**(-3)/p*p)**43)**31 assuming p is positive.
p**(-3999)
Simplify h*h/(h/(h**(-1/4)/h)*h)*h**(2/3) assuming h is positive.
h**(-7/12)
Simplify h**(-3/4)*h*h**(-1/6)*(h/((h/(h**(-6)/h))/h))/(h*h**0*h) assuming h is positive.
h**(-95/12)
Simplify (m*m**40*m*m*m*m*m)/m*m**(6/5) assuming m is positive.
m**(231/5)
Simplify (b**(-2/5)*b/b**0*b)/(b/(b**1*b))**(-2/19) assuming b is positive.
b**(142/95)
Simplify ((u*u**(-7)*u)/u*u*(u**2*u*u)/u)**(4/25) assuming u is positive.
u**(-8/25)
Simplify (j**(-5/2)/(j/(j**(-2/7)/j)))/((j*j*j/(j*j**(-2)))/(j*j*j**(1/3)*j)) assuming j is positive.
j**(-229/42)
Simplify (c**(-13)*c**(6/11))**9 assuming c is positive.
c**(-1233/11)
Simplify ((q/(q/(q**(-7/2)*q)))/q**1)/(q/q**(-1/4)*q*q**(1/4)) assuming q is positive.
q**(-6)
Simplify (p*p/p**7)**38 assuming p is positive.
p**(-190)
Simplify (k*k**29)/k**27 assuming k is positive.
k**3
Simplify ((t**(-1))**(-1/40))**(-23/4) assuming t is positive.
t**(-23/160)
Simplify (s*(s*s**(-3))/s*s**1)/((s*s**(-7)/s)/s**6) assuming s is positive.
s**12
Simplify (k**(2/3)*k*k*k**(2/11)/k)/(k**0)**(-8) assuming k is positive.
k**(61/33)
Simplify (a*a**(-6)/a*a)**(-14/3) assuming a is positive.
a**(70/3)
Simplify (a**(-13))**(-30) assuming a is positive.
a**390
Simplify (m**(1/25)*m)/(m/(m*m**(-3/7))) assuming m is positive.
m**(107/175)
|
{
"pile_set_name": "DM Mathematics"
}
|
3, 2/5
Let k(x) = x**3 - 6*x**2 + 7*x - 8. Let j = 43 - 38. Let q be k(j). Find n such that -3/2*n**q - 3*n + 0 = 0.
-2, 0
Let c(m) = 10*m**5 + 2*m**4 - 39*m**3 - 31*m**2 + 409*m + 9. Let k(j) = -j**5 - j**2 - j - 1. Let a(q) = 2*c(q) + 18*k(q). Suppose a(r) = 0. Calculate r.
-5, 0, 4
Suppose -2*c = 2*g - 9 + 5, 0 = -3*c + 5*g + 30. Factor c*y**3 - 4*y**3 - 5*y**2 + y**3 - 7*y**3 + 10*y.
-5*y*(y - 1)*(y + 2)
Let m(q) be the second derivative of 0 + 1/4*q**3 + 5*q + 1/32*q**4 + 3/4*q**2. Factor m(p).
3*(p + 2)**2/8
Let i(s) be the third derivative of -s**5/300 - 43*s**4/60 - s**2 + 159*s. Determine x, given that i(x) = 0.
-86, 0
Let c(a) be the first derivative of -1/8*a**3 - 3 - 1/32*a**4 - 1/8*a - 3/16*a**2. Let c(q) = 0. Calculate q.
-1
Let r(q) = 11*q - 106. Let l be r(14). Let y be (l/(-20))/(-4)*(-20)/(-14). Find o such that y*o**3 + 0*o**2 + 0 - 9/7*o**4 + 0*o = 0.
0, 2/3
Factor 6*z - 2/3*z**2 - 16/3.
-2*(z - 8)*(z - 1)/3
Let a(f) be the second derivative of -f**5/60 - 7*f**4/36 + 14*f**3/9 - 10*f**2/3 + 79*f. Let a(r) = 0. Calculate r.
-10, 1, 2
Let q(g) be the third derivative of -13*g**2 - 1/60*g**6 - 2/15*g**5 - 1/3*g**4 + 0*g + 0*g**3 + 0. Determine d so that q(d) = 0.
-2, 0
Let s(c) = -2*c**2 - 94*c + 9. Let n be s(-38). Suppose 0 = n*t - 692*t. Find d, given that -3/4*d**3 - 1/2*d**2 + t*d + 0 - 1/4*d**4 = 0.
-2, -1, 0
Let l(x) = 2*x**2 + 1. Let u be l(1). Suppose 3*v - 9 = 3*m, 4*v + 3*m = -m + 4. Factor -3*y**3 - u*y**4 - 4*y**v - y**2 + 5*y**2.
-3*y**3*(y + 1)
Solve 72*p**2 - 16*p**3 - 34 + 10 + 51 - 81*p = 0.
3/4, 3
Let w be (-3)/(-1)*(-250)/(-375). Factor 0 + 0*x**w + 1/3*x**3 - 1/3*x.
x*(x - 1)*(x + 1)/3
Suppose -i + m = -11, 5*m + 45 = 5*i + 2*m. Suppose 4*k - i*k = 0. What is z in 0*z**4 + 0*z - 2/3*z**3 + k*z**2 + 0 + 2/3*z**5 = 0?
-1, 0, 1
Factor 4*a**2 + 0*a + 0 - 2/3*a**4 - 10/3*a**3.
-2*a**2*(a - 1)*(a + 6)/3
Let y = 4684/3 - 1552. Find p such that y*p - 8/3 + 12*p**2 = 0.
-1, 2/9
Let c(w) be the second derivative of -w**5/25 + 22*w**4/15 - 82*w**3/15 + 8*w**2 - 107*w. Determine d, given that c(d) = 0.
1, 20
Let s be 5*24/20 - (-6)/11*-10. Factor -4/11 + s*c - 2/11*c**2.
-2*(c - 2)*(c - 1)/11
Let v(c) be the third derivative of c**5/24 + 15*c**4/8 + 135*c**3/4 - c**2 + 109. Find o, given that v(o) = 0.
-9
Suppose 6*q**2 + 3/4*q**3 + 9*q + 0 = 0. What is q?
-6, -2, 0
Let n(h) be the second derivative of -h**4/54 + h**3/9 - 2*h**2/9 + h + 32. Find i, given that n(i) = 0.
1, 2
Let m(y) = 173*y**3 + 479*y**2 + 397*y + 105. Let b(i) = -115*i**3 - 320*i**2 - 265*i - 70. Let s(d) = -7*b(d) - 5*m(d). Factor s(t).
-5*(t + 1)**2*(12*t + 7)
Let m(q) be the second derivative of 0*q**2 - 25*q + 0 - 1/66*q**4 + 4/33*q**3. Suppose m(k) = 0. What is k?
0, 4
Let b = -16 - -30. Solve -2*k**4 + 2*k**2 + k - 15*k**5 + b*k**5 + 0*k**2 = 0 for k.
-1, 0, 1
Let p be (-6)/15*(-5)/1. Suppose -5*r = p + 18. Let o(z) = -3*z**2 + 2*z - 4. Let u(i) = -3*i**2 + i - 5. Let a(w) = r*u(w) + 5*o(w). What is g in a(g) = 0?
0, 2
Factor 1/3*d + 4/3 - 4/3*d**2 - 1/3*d**3.
-(d - 1)*(d + 1)*(d + 4)/3
Solve 72*k**3 - 2*k**4 + 64*k**2 - 8*k**4 + 20*k + k**5 + 3*k**5 + 31*k**4 + 11*k**4 = 0 for k.
-5, -1, 0
Let g(x) = x**2 - x + 1. Suppose a = 5*v + 124, 2*v = 2*a - a - 49. Let z(r) = 30*r**2 - 30*r + 25. Let n(b) = v*g(b) + z(b). Suppose n(t) = 0. What is t?
0, 1
Let m(w) be the second derivative of -2*w**6/45 - w**5/5 + 2*w**4/3 + 16*w**3/9 - 11*w - 1. Factor m(t).
-4*t*(t - 2)*(t + 1)*(t + 4)/3
Let t(q) be the second derivative of -4*q**7/105 - 2*q**6/75 + q**5/25 + 34*q. Determine x, given that t(x) = 0.
-1, 0, 1/2
Suppose 3*m + 0*o - o - 6 = 0, -4*o + 24 = 4*m. Solve 12*h**2 + m*h**2 - 10*h - 507*h**3 + 517*h**3 = 0 for h.
-2, 0, 1/2
Let i(w) be the second derivative of -w**5/35 - 2*w**4/21 - 2*w**3/21 + 81*w. Factor i(v).
-4*v*(v + 1)**2/7
Let p(j) be the first derivative of -5*j**5 + 65*j**4/4 + 280*j**3/3 + 50*j**2 + 101. Factor p(c).
-5*c*(c - 5)*(c + 2)*(5*c + 2)
Suppose 78 = -y + 4*y - 4*b, -y + 34 = -4*b. Solve y*l + 2*l**2 + 2 - 34*l + 16*l = 0 for l.
-1
Let a(t) be the first derivative of 0*t + 2/27*t**6 - 1/6*t**4 + 2/15*t**5 - 13 + 0*t**2 - 4/27*t**3. Solve a(b) = 0.
-2, -1/2, 0, 1
Suppose t + 20 - 27 = 0. Find p such that t*p**2 - 8*p**2 + 2*p + 2*p**2 = 0.
-2, 0
Suppose 0*b - 4*b = -16. Factor -12*y**4 + 23*y**4 + 3*y**2 + 2*y - 12*y**b.
-y*(y - 2)*(y + 1)**2
Let d(u) be the first derivative of -1/6*u**4 + 0*u**2 - 8/9*u - 3 + 14/27*u**3. Factor d(a).
-2*(a - 2)*(a - 1)*(3*a + 2)/9
Let q(d) be the first derivative of 27*d**5/10 - 21*d**4/8 - d**3 + 253. Factor q(r).
3*r**2*(r - 1)*(9*r + 2)/2
Let g = -21 - -23. Factor -59*a - a**g + 27*a + 34*a.
-a*(a - 2)
Let q = -20 + 22. Suppose o - w = 5, 3*o + w = q*o - 1. Solve -7*u**2 + 15 - 3 + 4*u**o = 0.
-2, 2
Suppose 0*z + 2*z = 4*t + 16, 0 = -4*z + t + 39. Let x(c) = -c + 10. Let j be x(z). Find p such that -2*p**2 + 0 + j - p**2 + 6*p**3 - 3*p**4 = 0.
0, 1
Let r(k) be the first derivative of -2*k**3 - 4*k + 7*k**2 - 8 - 7/2*k**4 + 2*k**5. Factor r(j).
2*(j - 1)**2*(j + 1)*(5*j - 2)
Let y(j) = -2*j - 22. Let g be y(-12). Factor 43*t**2 + 0*t**3 + 2*t**3 - 43*t**g - 8*t.
2*t*(t - 2)*(t + 2)
Suppose 0 = 10*m - 147 + 97. Let r(w) be the second derivative of -1/15*w**5 + m*w + 0*w**4 + 1/45*w**6 + 0 - 1/3*w**2 + 2/9*w**3. Factor r(b).
2*(b - 1)**3*(b + 1)/3
Let p = -8 + 2. Let x(n) = 70*n**2 - 280. Let c(a) = 5*a**2 - 20. Let q(o) = p*x(o) + 85*c(o). Factor q(b).
5*(b - 2)*(b + 2)
Let q(j) be the third derivative of -j**6/300 - j**5/75 + j**4/60 + 2*j**3/15 + 4*j**2 - 9. Factor q(c).
-2*(c - 1)*(c + 1)*(c + 2)/5
Let r be (4/8)/(93/(-87)). Let s = 1/31 - r. Solve 1/4*p**2 + 0 - s*p = 0.
0, 2
Suppose 0 = -3*i + 41 - 221. Let l be -5*3/(i/8). Let 16*f**2 + f**2 + 4 - 12*f - 5*f**l - 4*f**3 = 0. What is f?
1
Factor 68 + 39*z**2 + 96 - 23*z**2 - 160*z - 20*z**2.
-4*(z - 1)*(z + 41)
Let s(c) = c**2 + 18*c - 22. Let q be s(-20). Let k be (-17 + q)/((-1)/(-2)). Solve -1/2*b**k + b + 3/2 = 0 for b.
-1, 3
Let c(d) = -d**2 - 10*d - 5. Let s be c(-12). Let q = s - -32. Determine o so that 4*o**q + 8/3*o - 20/3*o**5 + 0 + 28/3*o**2 - 28/3*o**4 = 0.
-1, -2/5, 0, 1
Let z be (-30)/(-25)*(-9*(-14)/24 + -4). What is d in 0 + 0*d**2 - z*d**3 + 0*d = 0?
0
Find v, given that 0 - 3/7*v**2 - 3/7*v**4 + 6/7*v**3 + 0*v = 0.
0, 1
Suppose 3*t - 4*t = 4*a + 5, 3*a = -5*t - 25. Let n(g) be the second derivative of 8*g + a*g**3 - 1/3*g**4 + 3/10*g**5 - 1/15*g**6 + 0 + 0*g**2. Factor n(x).
-2*x**2*(x - 2)*(x - 1)
Let c(p) = p**3 - 3*p**2 - 12. Let w be c(4). Let u be (-75)/(-90) - 2/w. Factor u + 2/3*n**2 + n.
(n + 1)*(2*n + 1)/3
Let p(k) be the first derivative of k**3/3 + 8*k**2 + 15*k - 82. Solve p(c) = 0 for c.
-15, -1
Let h = 1715 + -1715. Let s(d) be the second derivative of -1/48*d**4 + 1/160*d**5 + h - 1/48*d**3 - 14*d + 1/8*d**2. Find g such that s(g) = 0.
-1, 1, 2
Let h(s) = -170*s**2 + 165*s**2 + 2 + 5*s - 1. Suppose 2*o + o = -6. Let w(t) = t**2 - t. Let a(x) = o*h(x) - 9*w(x). Factor a(i).
(i - 2)*(i + 1)
Let s = -322 - -326. Find x such that -2/3*x**s - 2/3*x**2 - 4/3*x**3 + 0*x + 0 = 0.
-1, 0
Let s = 3094/2063 + 1/4126. Determine t so that 1/4 + 1/4*t**4 + 3/4*t**5 + 3/4*t - s*t**3 - 1/2*t**2 = 0.
-1, -1/3, 1
Let y(v) be the first derivative of -1/6*v**6 + v**4 + 0*v**5 + 8 + 0*v**3 + 0*v**2 + 0*v. Factor y(m).
-m**3*(m - 2)*(m + 2)
Let q be ((-5)/10 - (-181)/(-6))*3. Let w = -459/5 - q. What is o in -w*o**4 + 0 - 1/5*o - 3/5*o**3 - 3/5*o**2 = 0?
-1, 0
Let o(f) = 2*f + 12. Let q be o(-6). Suppose q = 3*k - 10 - 2. Factor -k*m**2 + 2*m**3 - 2*m**5 + 2*m**4 + 3*m**2 - m**2 + 0*m**2.
-2*m**2*(m - 1)**2*(m + 1)
Let g(j) = -2*j**3 - 7*j**2 + 98*j - 9. Let c be g(-9). Determine p so that 2/3 + c*p**2 - 2/3*p**4 - 4/3*p**3 + 4/3*p = 0.
-1, 1
Let y(b) be the second derivative of -5/6*b**3 + 0*b**2 + 6*b + 0*b**6 + 0 - 5/42*b**7 + 1/2*b**5 + 0*b**4. Factor y(i).
-5*i*(i - 1)**2*(i + 1)**2
Let n(b) = -12*b - 55. Let z be n(-5). Let j(q) be the third derivative of 0 - 1/180*q**z + 0*q - 1/72*q**4 + 0*q**3 - 5*q**2. What is p in j(p) = 0?
-1, 0
Let n(b) = -b**3 - 9*b**2 + 9*b - 10. Let x be n(-10). Suppose -7*d + 149 - 128 = 0. Solve 3/4*r**5 + 0 + 7/4*r**d - 1/2*r**2 + x*r - 2*r**4 = 0.
0, 2/3, 1
Let q(t) be the second deri
|
{
"pile_set_name": "DM Mathematics"
}
|
2674 = 4*a. Suppose -5*r - 5*n = -a, -r - 3*n - 2*n + 67 = 0. Calculate the remainder when r is divided by 24.
20
Let z = -2563 - -2579. Calculate the remainder when 122 is divided by z.
10
Let p(a) = -a**2 - 22*a - 21. Let v = 80 - 40. Suppose 54*x = 59*x + v. What is the remainder when p(x) is divided by 19?
15
Let u = 662 + -655. What is the remainder when 1/(u/(-693)*-9) is divided by 4?
3
Let j = -8467 + 8475. Calculate the remainder when 1843 is divided by j.
3
Let f = -3406 - -21830. Calculate the remainder when f is divided by 335.
334
Suppose -3*r + 18 = -15. Let o be 2/r + ((-3921)/(-33) - 5). Let c = o - 26. Calculate the remainder when c is divided by 19.
12
Suppose -3*r = -7*r + 56. Suppose 18*q = r*q + 4. Let a = q + 34. What is the remainder when a is divided by 9?
8
Suppose -25*t - 28458 = -178*t. Calculate the remainder when t is divided by 140.
46
Let f(b) = b**2 - 30*b + 28. Let m be f(29). Suppose -z = 5*y + 12, -2 = -6*z + 7*z. What is the remainder when 1 - y - (m - 3 - 40) is divided by 12?
11
Let o = -184 + 209. Suppose 6*v - v - 33 = -y, 3*v = 2*y - 105. Calculate the remainder when y is divided by o.
23
Suppose 4*g - 22 = 16*i - 21*i, -4*i + 3*g - 1 = 0. Calculate the remainder when 89 is divided by i.
1
Suppose 5*t - 16 = -3*k, -k - 4*k - 15 = 0. Let a = 10041 + -10028. What is the remainder when 90/4 - t/10 is divided by a?
9
Suppose -5*t + 2*x + 10 = -3*x, -4*t + 2*x = -12. Let k(h) = -2*h**3 + 7*h**2 + 6*h - 4. What is the remainder when 22 is divided by k(t)?
2
Suppose -3*u + 5*u = -2*o + 34, -9 = -2*o + 3*u. Calculate the remainder when (6/o - (-1)/2)*173 is divided by 16.
13
Let v(y) = -18*y**2 + 10*y - 16. Let j be v(3). Let c = -144 - j. Suppose c*p - 180 = g, 2*g - 180 = -4*p - 0*g. What is the remainder when p is divided by 4?
1
Calculate the remainder when 203 is divided by (56/(-98) - 694/(-14)) + -8.
39
Suppose 1026 - 91 = 17*f. Suppose -163 = -d + 3*m, 3*m + 9 = -0*m. What is the remainder when d is divided by f?
44
Suppose 3*r + 3231 = 12*r. Suppose 134 = 3*o + r. Let a = o - -82. Calculate the remainder when a is divided by 7.
0
What is the remainder when 353 is divided by (212 + -207)*109/5?
26
Let q = 35 + -32. Suppose 8*u - w + 16 = 5*u, 3*w - 24 = q*u. Calculate the remainder when 24 is divided by (-288)/(-21) - u/14.
10
Suppose -3*y = -24, 17*v - 13*v = 5*y + 960. Calculate the remainder when 293 is divided by v.
43
Let n = 770 + -474. Suppose -4*v - 2*t + n = 0, v + 0*t - t - 80 = 0. What is the remainder when v is divided by 26?
24
Let x be 6/((24/14)/6). Suppose k - 21 - x = 0. Calculate the remainder when 68 is divided by k.
26
Suppose 5*h = u + 1329, 0 = 10*h - 6*h - 5*u - 1038. What is the remainder when h is divided by 109?
49
Suppose 0 = -37*d + 55839 + 26523. What is the remainder when d is divided by 18?
12
Suppose -5*k = 12*k - 7905. Suppose 4*g + g = -k. Let l = -87 - g. What is the remainder when 26 is divided by l?
2
Let h = 13 - 4. What is the remainder when -8*294/(-560)*-4*15/(-6) is divided by h?
6
Let p = -138 - -132. Calculate the remainder when (1 + -2)/(1/(-52)) is divided by p*((-45)/(-10))/(-1).
25
Let x(h) = h**3 + 56*h**2 + 256*h + 67. Calculate the remainder when 4637 is divided by x(-51).
13
Suppose -3*o - 3*b = -7*o + 320, 0 = 4*o + 4*b - 348. Calculate the remainder when o is divided by 6/(-9)*(-36 - (6 + -9)).
17
Let s(y) = -2*y**3 - 6*y**2 + 10*y - 84. Let q(h) = 3*h**3 + 12*h**2 - 19*h + 167. Let o(w) = 3*q(w) + 5*s(w). What is the remainder when o(6) is divided by 18?
3
Let r be 12/(-18) + (-34)/(-6). Suppose 0 = -3*w - b + 13, -5*b + 8 = w - r*w. Suppose 22 = -w*m + 97. What is the remainder when m is divided by 7?
4
Suppose 12 + 8 = -4*w, 4*m - w = 21. Calculate the remainder when 6/7*210/(-3)*(-1228)/2456 is divided by m.
2
Let q(j) = 7*j**2 - 25*j - 44. Let l = -516 - -576. Calculate the remainder when l is divided by q(-2).
26
Let r = 510 + -299. Suppose o + 4*m - 286 = 0, 0 = o - 4*m - 51 - r. Let w = o + -182. What is the remainder when w is divided by 31?
30
Let r = -45 + 84. Suppose -4*h - 300 = 4*z, 0 = 2*z - 6 - 4. Let k = h + 101. What is the remainder when r is divided by k?
18
What is the remainder when 554 is divided by 24/30*((-676)/(-8) + 3)?
64
Let m(k) = -k**2 + 9*k - 5. Let l(d) = 8*d**3 - 166*d**2 - 52*d + 299. What is the remainder when l(21) is divided by m(6)?
11
Suppose 167*f - 175*f = -5808. Calculate the remainder when f is divided by -129*(-7)/105 - 4/(-10).
6
Suppose 6*i - 165 - 9 = 0. Let m = i + 36. What is the remainder when m is divided by (-3 + 5)*17/2?
14
Let v(x) = -x**3 - 4*x**2 + 177. Calculate the remainder when v(0) is divided by 173.
4
Calculate the remainder when (-4)/((-20)/(-5))*0 - -2356 is divided by 9.
7
Let c(t) = t**3 - 174*t**2 + 1176*t + 181. What is the remainder when c(167) is divided by 21?
6
Let g(j) = -5*j**3 + 11*j**2 - 19*j + 4. Let i be g(2). What is the remainder when 118 is divided by i/(-45) - (0 - (-248)/(-6))?
34
Let v(u) = -108*u**3 - 2*u**2 + 2*u. Let t be v(1). Let o = t - -154. Suppose -o*i = -47*i + 6. What is the remainder when 15 is divided by i?
3
Let q(i) = -i**3 + 18*i**2 + 17*i - 265. Calculate the remainder when 3443 is divided by q(18).
40
Calculate the remainder when 1340 is divided by (-36)/(-16)*(-68)/51 - (-447)/1.
8
Suppose -3*r - 520 = -z, 4*z - 735 = 5*r + 1359. Let l = 105 - 74. What is the remainder when z is divided by l?
30
Let i = -9256 + 10685. Calculate the remainder when i is divided by 160.
149
What is the remainder when -4415*(21 + -13 + -9) is divided by 12?
11
Suppose -125*q = -199633 + 67508. Calculate the remainder when 1068 is divided by q.
11
Suppose 0 = 5*b - 5*d - 15, -8 = 10*d - 14*d. Suppose z - 167 = -b*x - 52, -3*x - 5*z = -69. Calculate the remainder when 36 is divided by x.
13
Suppose -246 = -4*u + f, -u + 304 = 4*u - 3*f. Let t(k) = -k**3 - k + 50. Let s be t(0). Let l = u - s. What is the remainder when 43 is divided by l?
7
Suppose 0 = 3*p + 5*j - 3927, 167*p = 168*p - j - 1293. Calculate the remainder when p is divided by 21.
18
Let j = 184 - 185. Calculate the remainder when 76*(-3)/(3*j/1) is divided by 13.
11
Let t = 1413 - 1305. Let d = 23 - 16. What is the remainder when t is divided by d?
3
Suppose 0 = -3*a - 15, 0*x + 2*x - 4*a - 48 = 0. Suppose -x + 1 = -3*u - 4*d, d - 1 = -3*u. Let c = 20 - u. Calculate the remainder when c is divided by 4.
1
Let z = 512 - 37. Let s = -371 + z. What is the remainder when s is divided by 16?
8
Suppose -2*n = -c + 28, -3*c + 7*n - 3*n = -80. Suppose -c*x + 102 = -66. Calculate the remainder when 9 is divided by x.
2
Let y be 40/(-70) + (102/(-14))/3. Let h(p) = 10*p**2 - 6*p - 14. Calculate the remainder when h(-2) is divided by (y/(-6)*-10 - -1)*-5.
18
Let m(w) = 41*w - 104. Let s be m(3). Suppose 38 = 3*j + n - s, n - 3 = 0. What is the remainder when j is divided by 4?
2
Suppose -2*d + 27*d - 450 = 0. Let g = 24 - d. Calculate the remainder when 29 is divided by g.
5
Let t = 112 - 100. Let j be (0/(3/(-3)))/(11 - t). Suppose -2*w + 2*l + 142 = j, 4*w = 2*l - 68 + 362. What is the remainder when w is divided by 13?
11
Calculate the remainder when (-5 + 0)*(-13)/((-1755)/216) + 947 is divided by 114.
27
Suppose -42*s = -s - 257*s + 157032. Calculate the remainder when s is divided by 212.
91
Let q be (6/(-12))/((-1)/1094). Suppose k = -2*d + 7*d + 189, 0 = 3*k + 5*d - q. What is the remainder when k is divided by 31?
29
Let p(t) be the second derivative of -t**5/20 - 19*t**4/12 - 10*t**3/3 - 33*t**2/2 - 2*t - 47. Calculate the remainder when 17 is divided by p(-18).
2
Let t = 174 + -182. Calculate the remainder when -44*2/t*1 is divided by 10.
1
Suppose -6693 = -59*y + 1744. What is the remainder when y is divided by 46?
5
Let b = 3 - -22. Let g(u) = u**3 - u**2 + u + 71. Suppose -4*i = -9*i. What is the remainder when g(i) is divided by b?
21
Suppose 2224 = 3*s + 5*s. Suppose -s = 6*o - 824. What is the remainder when o is divided by 24?
19
Suppose -135 = -4*x + 5*y, -x + 4*y - 8*y + 18 = 0. Let d = x - 16. Suppose 41 + d = 5*m. Calculate the remainder when m is divided by 2.
1
Let d(o) = -8*o + 903. What is the remainder when d(0) is divided by 48?
39
Calculate the remainder when 45 is divided by (4 - 2)
|
{
"pile_set_name": "DM Mathematics"
}
|
.
8
Suppose 3*a = -5*i + 44, -i + 3*a = 8*a. Let t(j) = j**3 - 11*j**2 - 15*j + 4. Let u be t(12). Let s = u + 54. What is the least common multiple of s and i?
110
Find the common denominator of (-30)/((-66)/154 + 1875/63) and -151/66.
132
Calculate the common denominator of (11/(-2))/(-1 - 14 - -7) and -83/2.
16
Let h = -39271/15 + 2621. Let u = -11/340 + -1261/3060. Calculate the common denominator of u and h.
45
Let b be (-146)/(-16) + 4/(-32). Suppose -b*u = 28 - 217. What is the smallest common multiple of u and 15?
105
Suppose 2794*l = 2795*l - 28. What is the smallest common multiple of l and 28?
28
Let h be 10/5*(-5)/1822. Let d = h - -15587/18220. Find the common denominator of -33/20 and d.
20
Find the common denominator of 63/8 and (58/(-5887))/(72/2373).
696
Let m = 16/97 + -7420/291. Calculate the common denominator of 21 + -24 + 0 + 322/12 and m.
6
Let d(o) = o**2 - 17*o + 81. What is the smallest common multiple of d(17) and 6?
162
Let g = 21983/60200 - -15/301. What is the common denominator of 53/160 and g?
800
Let s be 22/(-76252)*(5 - 2). Let w = s + 154303/76252. Calculate the common denominator of w and 53/20.
220
Let s = 6182 - 111311/18. Let l = 1223/144 - 59/9. Calculate the common denominator of l and s.
144
Let x(i) = -5*i - 118. What is the least common multiple of 40 and x(-25)?
280
Suppose -w + 3 = -3*q, -w - 18 = w + 2*q. Let j be w/15 + (-172)/20. Find the common denominator of (-83)/j - (-7 - -10) and -52/11.
99
Suppose 0 = 5*g - 141 - 19. Suppose 0 = -2*v + 16 + g. What is the common denominator of 4/(-8) - 81/v and -49/4?
8
Let v = -528647295071/7999569 - 133/3555364. Let m = v + 199378/3. Let b = 3460/9 - m. What is the common denominator of 91/18 and b?
36
Let f = 33/31 + -1/496. Calculate the common denominator of f and -43/8.
16
Let u(p) = -p**3 - 5*p**2 + 7*p + 11. Let y be u(-6). Suppose x = y*x + 312. Calculate the common denominator of -131/6 and 4/26 + (-1119)/x.
6
Let z = -84409/10 + 8433. What is the common denominator of -11/30 and z?
30
Suppose 14*h - 8*h = 84. What is the least common multiple of 40/14*((-441)/h)/(-9) and 2?
10
Calculate the common denominator of 29/60 and 1*-2 - (-20)/750*205.
60
What is the least common multiple of (6/45*3)/(4/1200) and 228?
2280
Calculate the common denominator of 11/3 and -2*18/(-28) - (-2 + 1).
21
Let o = -449/14 - -515/7. Find the common denominator of o and 47/(-9) + 4*3/108.
18
Let y = 88 + -132. Calculate the least common multiple of 12 and (-444)/y - 3/33.
60
Let z = -65710/5639 - -1531575311071/131434381539. Let c = -4180331222465/326313414 - z. Let v = -12816 - c. What is the common denominator of v and -25/18?
126
Let q = -544 - -550. Calculate the least common multiple of 29 and q.
174
Let q = -2/70685 - 791642/1060275. Calculate the common denominator of q and -31/75.
75
Suppose -2*h - 6*v = -v - 175, 3*v - 169 = -2*h. What is the least common multiple of h and 12?
240
Let m = -630 + 646. What is the least common multiple of m and 12?
48
Calculate the lowest common multiple of (-1 - 9/(-5))*(-15)/(-6) and 156.
156
Let t = -3590 + 28773/8. Find the common denominator of t and (-31)/(-162) - 4/6.
648
Calculate the smallest common multiple of 75 and 15 - (-1*1 + (-44)/22).
450
Let r be 3 - (1 + 0 - -2). Suppose r = 5*u - 5, 5*b + u - 23 = 3*u. What is the least common multiple of b and 7?
35
Let q = -5728607/888 - -51611/8. What is the common denominator of -29/12 and q?
444
What is the common denominator of (-10)/(-2) - (-243)/(-32) and -55/216?
864
Find the common denominator of (-2)/(-8) - 23/44 and 16/48 + (-471)/36.
44
Let h be (6/(-9))/((-328)/12). Let s = 707/410 - h. Calculate the common denominator of s and 0 + -1 + 73/12.
60
Suppose 25 + 7 = 4*y. Suppose 0 = -17*q + 14*q + 42. What is the least common multiple of ((-231)/q)/(-3 + 0)*4 and y?
88
Let u = -50 - -85. Calculate the smallest common multiple of u and 1.
35
Let o be -1*(-4 - (-4)/2). Let c(v) = 10*v**2 + 0*v**3 + v**3 + 1 - 2*v - 9*v**o + 1. Calculate the smallest common multiple of 8 and c(2).
40
Let v = 53512594/275 + -194591. Find the common denominator of v and -8/7.
1925
Suppose -3*d + 3 = 21. Let m(b) = -b**3 - 6*b**2 - b + 9. Calculate the least common multiple of 6 and m(d).
30
Suppose 5 = h - 0*g + 2*g, 3*h - 4*g + 15 = 0. Let j be (-1 - 2) + h + -26. What is the smallest common multiple of 4 and (-5)/(-20) + j/(-8)?
4
Let z(c) = -c - 8. Suppose 3*a - 4*a - 6 = 0. Let q be z(a). Calculate the least common multiple of 12 and (-1)/(q - 86/(-44)).
132
Suppose -1 = -3*b + x, -b - 16 + 38 = 4*x. Suppose 6 = -30*p + 32*p. Calculate the lowest common multiple of b and p.
6
Let s = -2087/735 - 34/49. Let t = -962 - -17321/18. What is the common denominator of s and t?
90
Let j = 881/12 + -289/4. Let y = 42 - 75. Calculate the common denominator of j and y + (0 + 4 - 2).
6
Let j be -4 + 3 - (-131)/115. Let o = -47/3795 - j. Calculate the common denominator of o and -1*54/(-72)*230/9.
66
Let d = 19287/110 + -881/5. Let c = -80 + 88. Find the common denominator of 2/c + ((-165)/144)/5 and d.
528
Let r = -8147/6 + 1344. Let d be 1/5 - ((-311542)/2280)/17. Let z = d + 112/95. What is the common denominator of r and z?
12
Let u(b) = -15*b - 4. Let s be u(-1). Calculate the least common multiple of 8 and (-24)/(-7)*s/((-154)/(-49)).
24
Let b = -1 + 0. What is the lowest common multiple of 2 - 2*5/(-2) and (b - 0)/(1/(-3))?
21
Let h(n) = n**3 + 33*n**2 - n - 27. Let u be h(-33). Let x = u - -14. Calculate the smallest common multiple of 20 and x.
20
What is the common denominator of -12 + 7 - (-720)/125 and 32/135?
675
What is the least common multiple of 8 + ((-32)/64 - (-1)/(-2)) and 111?
777
Let s = -615 + 4939/8. What is the common denominator of s and 5/32?
32
Find the common denominator of (13/(-18))/((-9)/(594/4)) and 71/156.
156
Let s be 3/(-2) - 62769/6. Let v = 837027/80 + s. What is the common denominator of v and -9/22?
880
Let t(q) = -4*q + 7. Let z be t(3). Let y = 10 + z. Calculate the least common multiple of y and 11.
55
Suppose -5*h + 17 + 13 = 0. Let b(a) = a**2 + a - 16. What is the least common multiple of h and b(-6)?
42
Let i be 82506/5648 + 20/(-4). Let n = i - -6/353. Find the common denominator of n and -3/8.
8
Suppose 5*b - 3*b + 140 = 0. Calculate the common denominator of 214/b + 2/(-14) and (3/18)/((-3)/264).
15
Let g be 5553/2 - 54/36. Let p = -124933/45 + g. Find the common denominator of p and 113/20.
180
Let k(s) = 9*s - 9*s**2 - 2*s**3 - 3*s**3 + 5*s**3 + s**3 - 6. Let w be k(8). Suppose 3 = 3*a - w*a. Calculate the smallest common multiple of a and 4.
12
Suppose 4*c + 3*u - 82 = 18, -c = -2*u - 14. Let l = 60 - 55. What is the least common multiple of l and c?
110
Let p = 17118 - 10540. Let n = -131493/20 + p. What is the common denominator of 13/18 and n?
180
Let w(o) = o**2 + 11*o + 3. Let b be w(-11). Suppose 19 - b = 2*s. Calculate the smallest common multiple of s and 2.
8
Let h(v) be the first derivative of v**3/3 - 3*v**2/2 + 2*v + 2. Calculate the smallest common multiple of 7 and h(3).
14
Let h = 496/17 + -13267/425. Calculate the common denominator of h and 52/9.
225
Suppose -91 = 2*l - 6*l - k, -5*l + 115 = k. What is the smallest common multiple of 40 and l?
120
Let l = -2436 - -34077/14. Suppose 0 = 5*h - 3*h - 242. Let n = h + -279/2. What is the common denominator of n and l?
14
Let w(f) = 19*f**3 - 2*f + 1. Suppose 0 = -z - 4*r - 4, -z = -4*z + 3*r + 48. Let x = -2 + z. What is the lowest common multiple of w(1) and x?
90
Let a(d) = -d. What is the smallest common multiple of -2*(-582)/72 + 1/(-6) and a(-2)?
16
Let y = -2 + -28. Let g be 22/5 + 12/y. Let p(i) = -i + 12. What is the lowest common multiple of p(g) and 9?
72
Suppose -s + 40 = 3*s. Suppose p - 21 = 2*r, 58 = 4*p + 4*r + 22. Calculate the smallest common multiple of p and s.
130
Let u = 1103 - 13253/12. Calculate the common denominator of 85/332 and u.
996
Let u = -4 - -6. Let q = 14 + 3. Suppose 97 = 5*c + 4*x + q, 4*x + 28 = 4*c. Calculate the lowest common multiple of u and c.
12
Let s be ((-1)/1511)/((-6)/103742226). Let m = 11443 - s. Let j = m + 16603/13599. Calculate the common denominator of j and 58/3.
9
Suppose -2*k = -2*o + 64, 3*o - 2*k - 134 = -o. Let u(v) =
|
{
"pile_set_name": "DM Mathematics"
}
|
terms in -837*f**2 + 3147*f**3 + 837*f**2.
3147*f**3
Collect the terms in 71*g**2 - 20*g**2 - 23*g**2 - 24*g**2 - 18*g**2 + 8*g**3.
8*g**3 - 14*g**2
Collect the terms in 29*a**3 + 23*a**3 - 33*a**3 + 24*a**3 - 4*a**3 - 38*a**3.
a**3
Collect the terms in -12*f**3 + 2*f**2 - 3*f**2 + f**2 - 14*f**3.
-26*f**3
Collect the terms in -2*z**3 - 19271*z + 19271*z.
-2*z**3
Collect the terms in -7236*y + 14492*y - 7256*y - 14*y**2.
-14*y**2
Collect the terms in 86 + 0*t**2 + 22*t**2 - 13*t**3 - 86.
-13*t**3 + 22*t**2
Collect the terms in -1853 + 3952 - 8*i - 2099.
-8*i
Collect the terms in 2*m + 1057 - 1057 - 49*m**2.
-49*m**2 + 2*m
Collect the terms in -19 - 21*o**3 + 5*o**2 + 19.
-21*o**3 + 5*o**2
Collect the terms in -8396*i**3 + 16774*i**3 - 8382*i**3.
-4*i**3
Collect the terms in 32*l**3 - 20*l**3 - 18*l**3.
-6*l**3
Collect the terms in 1045*k**3 + 1073*k**3 - 2257*k**3.
-139*k**3
Collect the terms in -2 + 6 + 168*d - 3.
168*d + 1
Collect the terms in 8 - 29*l + 32*l - 8 - 2*l**2.
-2*l**2 + 3*l
Collect the terms in 17 - 88*l - 17 + 569*l.
481*l
Collect the terms in -2*y - 8*y - 21*y.
-31*y
Collect the terms in -5789*l**3 + 11617*l**3 - 5790*l**3.
38*l**3
Collect the terms in -5*a**2 + 2*a**2 + 3*a**2 - 42*a**2 - 2*a**2 + 43*a**2.
-a**2
Collect the terms in -430 + 483 + 15*k - 53.
15*k
Collect the terms in -1461*q + 2 - 582*q - 2.
-2043*q
Collect the terms in -40 + 1931*d + 78 - 38.
1931*d
Collect the terms in -6275 - 6263 - 3*v**3 + 12538.
-3*v**3
Collect the terms in 108362*m**3 - 108359*m**3 + 18 - 18.
3*m**3
Collect the terms in 5 + 3 + 43*t**2 + 13 - 16 - 32*t**2.
11*t**2 + 5
Collect the terms in 1481*l**2 - 72*l**2 + 5 + 4489*l**3 - 4488*l**3.
l**3 + 1409*l**2 + 5
Collect the terms in 87*o**2 + 76*o - 76*o + 449*o**2 - 3*o**2.
533*o**2
Collect the terms in 41*c**2 - 14*c + 14*c + 0*c.
41*c**2
Collect the terms in 1085685*m**3 - 3*m + 3*m - 1085682*m**3.
3*m**3
Collect the terms in -914*f - 917*f + 2747*f - 924*f.
-8*f
Collect the terms in 4*g**3 + 918843228*g**2 - 918843228*g**2.
4*g**3
Collect the terms in 967288 - 967288 - 369*s**2.
-369*s**2
Collect the terms in -248*d - 121*d + 7593*d.
7224*d
Collect the terms in 849*z**2 + 862*z**2 - 1708*z**2.
3*z**2
Collect the terms in -305170*p**2 + 305170*p**2 + 5*p**3.
5*p**3
Collect the terms in -12027*c**2 - 12034*c**2 - 12028*c**2 + 36104*c**2.
15*c**2
Collect the terms in -2*o**2 + 134804 - 134804.
-2*o**2
Collect the terms in 991*k + 1007*k + 985*k - 2966*k.
17*k
Collect the terms in -419*v - 2741*v + 527*v - 515*v.
-3148*v
Collect the terms in -55*u**3 - 9*u**3 + 1996*u + 141*u.
-64*u**3 + 2137*u
Collect the terms in -181*y + 379*y - 240*y.
-42*y
Collect the terms in -458 - 30*v + 3*v + 25*v + 1330.
-2*v + 872
Collect the terms in -575*v**2 + 1746*v**2 - 559*v**2 - 575*v**2.
37*v**2
Collect the terms in -164*a**2 + 40*a**2 + 0*a - a - 117*a**2.
-241*a**2 - a
Collect the terms in -5*z + 8652341 + 3*z - 8652341.
-2*z
Collect the terms in -228*o - 227*o + 691*o - 26*o**3 - 236*o.
-26*o**3
Collect the terms in -95*k + 2979 - 2979.
-95*k
Collect the terms in -2*u + 20727*u**3 + 2*u - 2*u**2 - 20719*u**3.
8*u**3 - 2*u**2
Collect the terms in 3*a + a**2 - 10*a**2 - a**2.
-10*a**2 + 3*a
Collect the terms in -43 + 2*a**3 - 6*a**3 - a**3 - 74.
-5*a**3 - 117
Collect the terms in 1329*h + 33 + 20*h**2 - 1329*h - 33.
20*h**2
Collect the terms in -58*b + 6*b - 22*b**2 + 3*b**2.
-19*b**2 - 52*b
Collect the terms in 234*v**2 + 8*v + 451*v**2 - 20*v + 12*v.
685*v**2
Collect the terms in 2005*o**3 + 2011*o**3 + 1977*o**3 - 5989*o**3.
4*o**3
Collect the terms in -41*r - 124*r - 56*r + 2*r.
-219*r
Collect the terms in -552*o - 549*o + 1059*o.
-42*o
Collect the terms in 10742*j**3 - 837*j**2 + 837*j**2.
10742*j**3
Collect the terms in 4*l - 589 + 3*l + 589.
7*l
Collect the terms in 281*c**2 + 287*c**2 - 858*c**2 + 289*c**2.
-c**2
Collect the terms in -10777*f - 6*f**2 + 3*f**2 + 7*f**2 + 21547*f - 10770*f.
4*f**2
Collect the terms in -5*n - 5*n + 2*n + 12730*n**3 - 12741*n**3.
-11*n**3 - 8*n
Collect the terms in -9943*d + 4104*d + 5845*d.
6*d
Collect the terms in -1022 + 2048 - 2*q - 1023.
-2*q + 3
Collect the terms in -312*i**2 - 315*i**2 - 73*i + 624*i**2 + 166*i - 93*i.
-3*i**2
Collect the terms in 28 - 39 - 157*y + 11.
-157*y
Collect the terms in 2*v**3 + 1 - 6 - 1 + 5.
2*v**3 - 1
Collect the terms in -118*n**2 + 1 - 1 - 190*n**2.
-308*n**2
Collect the terms in -331*h**3 - 2*h + 2*h + 3*h**2 + 330*h**3.
-h**3 + 3*h**2
Collect the terms in 43*v**2 - 48*v**2 + 30*v**2.
25*v**2
Collect the terms in -g**3 - 22 + 6425*g**2 - 6425*g**2.
-g**3 - 22
Collect the terms in w**3 - 255 - 3*w**3 - 4*w + 255 + 2*w.
-2*w**3 - 2*w
Collect the terms in 566096*w - 566096*w + 33*w**2 - 5 + 5.
33*w**2
Collect the terms in 5*w**3 - 24*w**3 - 33*w**3 + 31*w**3 - 28*w**3.
-49*w**3
Collect the terms in 14 + 200114*s - 200112*s - 33 + 19.
2*s
Collect the terms in 55 - 55 + 2*n**3 + 493*n + 11*n**2.
2*n**3 + 11*n**2 + 493*n
Collect the terms in -x**2 - 102728 - 102726 + 205454.
-x**2
Collect the terms in 67372*n**2 - 134664*n**2 + 67309*n**2.
17*n**2
Collect the terms in -130 - 105 - 6*s + 7*s.
s - 235
Collect the terms in 63*b**2 + 75*b**2 + 60*b**2 + 67*b**2 - 348*b**2 + 56*b**2.
-27*b**2
Collect the terms in 8*n + 7 - 4*n + 1 + 22*n.
26*n + 8
Collect the terms in -18 - a**2 - 277*a**3 + 73*a**3 + 18.
-204*a**3 - a**2
Collect the terms in 43*i**3 + 43*i**3 - 141*i**3 + 8*i**3 + 46*i**3.
-i**3
Collect the terms in -247*v**2 - 270*v**2 + 786*v**2 - 263*v**2.
6*v**2
Collect the terms in 3*k**2 + 1304*k**3 + 633*k**3 - 3*k**2 + 469*k**3.
2406*k**3
Collect the terms in 12495605*y**2 - 2 + 12495607*y**2 - 24991213*y**2 + 2.
-y**2
Collect the terms in -508*l - 513*l + 1023*l + 2 + 5 - 7.
2*l
Collect the terms in 56*c**2 - 5*c**2 - 405 + 407.
51*c**2 + 2
Collect the terms in -130*r + 111*r**2 - 59*r**2 + 50*r - 50*r**2.
2*r**2 - 80*r
Collect the terms in 94*z - 18 + z**2 - 55*z - 47*z - 2*z**2.
-z**2 - 8*z - 18
Collect the terms in -6066*i**3 + 18322*i**3 - 6065*i**3 - 6193*i**3.
-2*i**3
Collect the terms in -173 - 169 + 103 + 239 + 5*i.
5*i
Collect the terms in 2125 - 2125 - 17*n**2.
-17*n**2
Collect the terms in 9*t + 32*t - 48*t.
-7*t
Collect the terms in 294 - 595 + 301 - 29*u**2 + u**2.
-28*u**2
Collect the terms in -f**2 + 1418*f - 1418*f.
-f**2
Collect the terms in -81*w + 0*w - 122*w + 4.
-203*w + 4
Collect the terms in -9 + 26 - 10 + 2*k**2 - 15 - 18.
2*k**2 - 26
Collect the terms in 12*o + 2*o**2 + 3*o**3 - 1 - 7*o**2 + 1.
3*o**3 - 5*o**2 + 12*o
Collect the terms in -37 - 7*b + b**2 + 5*b - 45.
b**2 - 2*b - 82
Collect the terms in 846*n**3 - 2510*n**3 + 854*n**3 + 846*n**3.
36*n**3
Collect the terms in -23 - 29 - 25*i**2 + 33 + 19.
-25*i**2
Collect the terms in 7 + 9 - 106 + 3*t**2 - 59.
3*t**2 - 149
Collect the terms in 36 + 51*c**2 - 6 - 53*c**2 + 17 - 3.
-2*c**2 + 44
Collect the terms in 1620*d**2 - 588*d - 1546*d**2 + 588*d.
74*d**2
Collect the terms in -152*a + 728*a + 573*a.
1149*a
Collect the terms in 87*u**3 - 235*u**3 - 98*u**3 - 20*u**3 - 91*u**3.
-357*u**3
Collect the terms in 5 + 3 + 30*f**2 + 4 - 14 + 282*f**2.
312*f**2 - 2
Collect the terms in 34*d**3 + 140*d**3 - 4*d**3 + 8*d**3.
178*d**3
Collect the terms in -1072*l - 47 + 47.
-1072*l
Collect the terms in -2*y**3 + 610296 - 610296.
-2*y**3
Collect the terms in 3*c**3 + 4*c**3 + 3*c - c.
7*c**3 + 2*c
Collect the terms in -280187*b - 4*b**2 + 280187*b.
-4*b**2
Collect the terms in 32*w - 16*w - 16*w - 139*w**2 + 236*w**2.
97*w**2
Collect the terms in -135*g**3 + 6*g**3 + 63*g**3.
-66*g**3
Collect the terms in 11 + 8 - 6*o**3 + 56*o**3 - 19.
50*o**3
Collect the terms in -26*d**2 + 131*d**2 - 94*d**2.
11*d**2
Collect the terms in -4*h**2 - 3*h**2 - 2*h**2 - 24*h**2 + 5*h**2 + 27*h**2.
-h**2
Collect the terms in -1396*r**2 + 4117*r**2 - 1385*r**2 - 1369*r**2.
-33*r**2
Collect the terms in -99*s**2 + 156*s**2 + 183*s**2 + 214*s**2 - 2*s - 105*s**2 + 1.
349*s**2 - 2*s + 1
Collect the terms in 75 + 67 + 38*z**2 - 139.
38*z**2 + 3
Collect the terms in 3 + 2 - 149845180*y**2 - 5 + 149845178*y**2.
-2*y**2
Collect the terms in -116*l**3 - 100*l**3 + 52*l**3 - 168*l**3 + 13*l**3.
-319*l**3
Collect the terms in -1 + 199*r - 97*r - 101*r.
r - 1
Collect the terms in 11*g**2 + 77
|
{
"pile_set_name": "DM Mathematics"
}
|
05
Let w(y) = -5750*y + 201268. What is w(35)?
18
Let o(p) = -3515*p - 1185. Calculate o(-1).
2330
Let h(v) = -2*v**3 + 38*v**2 - 88*v + 522. Determine h(17).
182
Let c(p) = p**3 + 20*p**2 + 10580*p + 222610. What is c(-21)?
-11
Let i(b) = -b**3 + 103*b**2 - 1700*b - 1821. Give i(82).
-17
Let o(y) = -12*y**2 - 161*y + 223. What is o(-19)?
-1050
Let q(d) = -1911*d - 6678. Determine q(-4).
966
Let l(j) = -11960*j - 251198. Give l(-21).
-38
Let k(q) = q**2 + 226*q - 8609. Calculate k(-259).
-62
Let p(u) = u**2 + 34*u + 295. Calculate p(-16).
7
Let a(q) = -49*q**3 - 4*q**2 - 30*q + 62. Determine a(2).
-406
Let m(g) = -5989*g + 1305605. Give m(218).
3
Let b(n) = n**3 + 903*n**2 - 2192*n - 1164384. Give b(-904).
-32
Let v(o) = -2*o**3 + 4*o**2 + 17*o + 81. Give v(6).
-105
Let j(z) = -z**3 - 10*z**2 + 1357*z + 16516. Calculate j(-12).
520
Let l(j) = 37*j - 1181. What is l(11)?
-774
Let y(v) = 2*v**2 - 1255*v + 68084. What is y(60)?
-16
Let l(s) = 5*s**3 - 114*s**2 - 18*s - 131. Give l(23).
-16
Let i(x) = 6608*x + 13217. What is i(-2)?
1
Let n(x) = x**2 + 2469*x + 63309. What is n(-26)?
-209
Let j(s) = -11*s**3 + 606*s**2 - 2298*s - 142. Give j(51).
-295
Let d(j) = 192*j**2 - 2744*j + 59. Determine d(12).
-5221
Let f(r) = -r**3 - 24*r**2 + 106*r + 1531. Calculate f(-26).
127
Let r(b) = -50858*b + 305141. What is r(6)?
-7
Let c(b) = 16*b + 1925. What is c(48)?
2693
Let z(t) = t**3 - 23*t**2 - 219*t - 898. Determine z(31).
1
Let n(f) = 788*f - 71724. Determine n(91).
-16
Let t(f) = 2*f**3 - 218*f**2 + 477*f - 5267. What is t(107)?
-24
Let d(b) = 5154*b + 2211062. What is d(-429)?
-4
Let o(j) = j**3 - 87*j**2 + 151*j + 1716. Calculate o(85).
101
Let n(k) = 2*k**2 - 138*k + 743. Calculate n(5).
103
Let a(b) = 2*b**2 + 303*b - 40826. Give a(86).
24
Let n(g) = -g**2 - 333*g - 2544. What is n(-8)?
56
Let x(m) = 14437*m - 476477. Determine x(33).
-56
Let h(a) = -464*a + 1552. What is h(5)?
-768
Let l(s) = -1344*s + 104832. Determine l(78).
0
Let b(x) = 2*x**2 + 923*x + 64368. Give b(-376).
72
Let s(q) = -22430*q + 21061777. What is s(939)?
7
Let a(v) = -221*v**2 + 106303*v - 963. Give a(481).
-1
Let s(r) = 2414*r + 12053. Calculate s(-5).
-17
Let u(q) = 427829*q - 427827. Determine u(1).
2
Let t(v) = -4*v**2 - 738*v - 21200. What is t(-148)?
408
Let o(a) = 189*a + 206. Give o(-4).
-550
Let u(i) = i**3 - 8*i**2 + 5468*i - 16355. Calculate u(3).
4
Let x(v) = v**2 - 7386*v - 4. Calculate x(0).
-4
Let n(p) = -p**3 - 14*p**2 + 74*p + 1147. Give n(-10).
7
Let b(o) = 2251*o + 56022. Give b(-24).
1998
Let a(o) = -116033*o - 696191. What is a(-6)?
7
Let x(g) = -24*g**2 + 186*g - 10. What is x(10)?
-550
Let f(t) = t**2 + 13*t - 8532. What is f(-99)?
-18
Let i(t) = 6026*t + 970180. Determine i(-161).
-6
Let f(l) = -3998*l - 263871. Determine f(-66).
-3
Let g(r) = 244*r + 4176. Give g(-18).
-216
Let b(z) = -z**3 - 38*z**2 - 351*z - 19450. Give b(-41).
-16
Let x(m) = -m**3 + 10*m**2 - 252*m + 7893. Give x(19).
-144
Let c(m) = -3*m**2 - 110*m - 943. Give c(-23).
0
Let b(g) = -20*g**2 + 372*g + 372. What is b(-1)?
-20
Let x(c) = -25*c**2 + 401*c - 598. Determine x(15).
-208
Let o(n) = 625*n - 57460. Give o(90).
-1210
Let p(w) = -9299*w - 576545. What is p(-62)?
-7
Let m(k) = 13*k**3 - 465*k**2 - 172*k + 2264. Calculate m(36).
-40
Let r(q) = 94*q**2 - 1027*q + 201. What is r(11)?
278
Let k(j) = 116*j**2 - 4310*j + 4791. Give k(36).
-33
Let o(x) = 414*x + 17853. What is o(-43)?
51
Let h(f) = 16*f**2 + 657*f - 587. Determine h(-43).
746
Let d(h) = 87*h**2 + 397*h - 10635. Calculate d(9).
-15
Let c(x) = 8*x**3 - 5203*x**2 + 17469*x - 9. Give c(647).
-9
Let m(v) = -18*v**2 - 1859*v + 1. Determine m(0).
1
Let p(n) = n**2 - 3819*n - 61349. Calculate p(-16).
11
Let z(b) = 8701*b - 783124. Determine z(90).
-34
Let j(a) = -3307*a - 39678. Give j(-12).
6
Let c(g) = 4243*g + 1366275. What is c(-322)?
29
Let i(a) = a**3 - 10*a**2 - 37*a + 46. Calculate i(16).
990
Let a(s) = -2*s**2 + 1410*s - 20720. Determine a(15).
-20
Let l(v) = -2403*v + 43253. Determine l(18).
-1
Let i(z) = 68782*z - 8047493. Determine i(117).
1
Let w(a) = -88*a**2 - 666*a + 1991. Calculate w(3).
-799
Let w(m) = -3*m**2 + 21*m - 184. Give w(-11).
-778
Let w(t) = -2*t**3 - 92*t**2 - 1000*t - 180. Determine w(-29).
226
Let z(o) = -2*o**3 - 56*o**2 + 157*o + 69. Determine z(3).
-18
Let g(b) = -b**3 - 20*b**2 - 2598*b - 68052. Determine g(-25).
23
Let v(l) = 1336*l + 1298. What is v(-2)?
-1374
Let w(l) = -l**3 + 73*l**2 + 9799*l + 75. Determine w(-69).
6
Let b(u) = 4*u**3 + 777*u**2 + 170*u - 4647. What is b(-194)?
9
Let g(p) = -p**3 - 57*p**2 + 947*p + 56496. Calculate g(-56).
328
Let u(t) = -2742*t + 21830. Calculate u(8).
-106
Let y(c) = 14*c**2 - 586*c - 24892. Calculate y(-26).
-192
Let x(j) = 2*j**3 - 180*j**2 + 6*j - 478. What is x(90)?
62
Let q(y) = 10*y**3 - 128*y**2 + 247*y + 8. What is q(2)?
70
Let n(l) = -6112*l - 97704. Give n(-16).
88
Let v(n) = 590*n + 6522. Give v(-11).
32
Let q(h) = -24*h**3 - 6652*h**2 - 1107*h + 268. Calculate q(-277).
-9
Let i(q) = -1405*q + 2128. Calculate i(0).
2128
Let a(z) = 2*z**2 + 3404*z + 40383. Calculate a(-12).
-177
Let j(i) = -i**3 + 407*i**2 + 2085*i - 10269. Determine j(412).
31
Let j(d) = 541*d + 9545. Give j(-24).
-3439
Let z(w) = -62*w**2 - 8247*w - 76. Give z(-133).
57
Let r(o) = 2*o**3 + 21*o**2 + 543*o + 9346. Determine r(-16).
-2158
Let v(a) = 2*a**2 + 10620*a - 170195. Give v(16).
237
Let f(p) = -2*p**3 + 17*p**2 + 236*p - 1942. Give f(8).
10
Let c(r) = 2*r**2 - 705*r + 37612. Give c(287).
15
Let y(f) = 2*f**2 - 488*f + 25446. Determine y(80).
-794
Let x(m) = 2*m**3 - 105*m**2 + 4374*m - 224753. Determine x(52).
-9
Let w(o) = -o**2 - 8335*o - 15995636. Determine w(-2996).
8
Let c(b) = 3*b**2 - 90*b + 1414. Give c(12).
766
Let a(q) = 573*q**2 + 15245*q - 6068. Calculate a(-27).
34
Let d(h) = 17*h - 2023. What is d(75)?
-748
Let t(i) = 25202*i - 100304. Calculate t(4).
504
Let d(k) = 14*k**2 - 69*k + 449. Calculate d(6).
539
Let t(y) = -y**3 + 220*y**2 + 176*y + 6860. Calculate t(221).
-3085
Let d(n) = 3*n**3 - 74*n**2 - 52*n - 11. Determine d(25).
-686
Let x(q) = 3*q**3 + 12*q**2 - 162*q - 506. What is x(-3)?
7
Let c(w) = 6*w**2 - 410*w + 2232. Calculate c(6).
-12
Let i(q) = q**2 - 1048*q + 87889. What is i(92)?
-63
Let x(l) = -211*l - 10436. What is x(-50)?
114
Let f(a) = -2*a**3 + 277*a**2 - 941*a - 474. What is f(135)?
66
Let t(c) = 116*c**3 - 88*c**2 - 176*c + 3. Give t(-2).
-925
Let a(m) = -40*m**2 - 345*m - 6. Calculate a(-12).
-1626
Let d(k) = 4*k**2 - 1658*k - 41995. Calculate d(-25).
1955
Let a(y) = -17238*y - 620539. What is a(-36)?
29
Let h(j) = -6*j**3 + 1175*j**2 + 2562*j + 2328. Determine h(198).
-48
Let a(y) = -7312*y + 44154. Give a(6).
282
Let m(a) = -1341*a + 88380. Determine m(66).
-126
Let v(x) = 699*x - 467. Calculate v(2).
931
Let i(q) = -58*q**3 - 8*q**2 - 4575*q + 4580. Calculate i(1).
-61
Let d(p) = -887*p + 127732. What is d(144)?
4
Let y(n) = -2*n**2 + 3078*n - 36648. Determine y(12).
0
Let k(t) = -197*t - 4701. Calculate k(-24).
27
Let m(b) = -455*b - 76483. Give m(-168).
-43
Let r(c) = 2*c**3 + 90*c**2 - 1425*c + 42341. Determine r(-62).
-5
Let m(f) = 98592*f - 197188. What is m(2)?
-4
Let n(o) = -6*o**3 + 41*o**2 + 16. Determine n(7).
-33
Let s(h) = 2670*h - 43133. What is s(16)?
-413
Let f(c) = 1005*c - 77086. What is f(77)?
299
Let d(n) = -22*n**3 - 8535*n**2 + 389*n + 641. Determine d(-388).
253
Let z(i) = -i**2 - 39*i + 5575. Give z(58).
-51
Let k(b) = 1197*b + 138161. What is k(-116)?
-691
Let r(u) = -u**3 + 10*u**2 - 38*u + 207. What is r(12)?
-537
Let m(y) = 10*y**3 + y**2 - 227*y - 870. Calculate m(-4).
-586
Let a(n) = -93*n**2 + 64244*n + 13132. Calculate a(691).
3
Let t(u) = -u**3 - 600*u**2 - 19782*u - 153. What is t(-35)?
92
Let i(d) = -d**3 + 3*d**2 - 1134*d - 4556. Determine i(-4).
92
Let d(m) = m**3 - 880*m**2 + 395*m + 3. What is d(0)?
3
Let i(c) = 222811*c - 1337043. Determine i(6).
-177
Let b(h) = 145*h**3 + 2318*h**2 + 1788*h + 29121. Determine b(-16).
1
Let d(l) = -5*l**3 + 216*l**2 + 72*l - 4936. Give d(43).
9
Let c(r) = 29745*r - 178451. Determine c(6).
19
Let n(w) = w**3 - 70*w + 202. Calculate n(-11).
-359
Let b(n) = 171*n**2 + 953*n - 1747. What is b(-7)?
-39
Let w(c) = -63511*c + 127019. Calculate w(2).
|
{
"pile_set_name": "DM Mathematics"
}
|
-72 - -102. Suppose 5*j = 4*j + 75. Calculate the greatest common factor of j and l.
15
Let x be (3 - 351/5)*(-40)/12. What is the highest common divisor of 7 and x?
7
Let y(c) = 39*c - 27. Let d be y(9). Let t = d - 198. Calculate the greatest common factor of t and 14.
14
Let j(a) = a**2 + 7*a + 12. Let y be j(8). Suppose -59 = -5*k + 1. What is the highest common divisor of k and y?
12
Suppose 0 = -4*h - 0*h + 56. Let a be 5674/30 + h/(-105). What is the highest common divisor of 21 and a?
21
Let s(v) = -v**3 + 17*v**2 - 39*v + 40. Let t be s(14). What is the highest common divisor of t and 2?
2
Let f be ((-21)/(-14))/(-3*(-3)/30). Suppose -5*w + f*b + 246 + 24 = 0, 3*w - 162 = -3*b. What is the highest common divisor of w and 18?
18
Suppose 3*g - 2*m = 4*g + 7, g = -5*m - 22. Suppose 0 = -5*v + g*v + 44. What is the greatest common factor of 2 and v?
2
Suppose 0 = x + l - 4 - 21, 0 = -5*x - 2*l + 131. What is the greatest common divisor of 15 and x?
3
Let g be -1*32/(-12)*18/4. Let w be (-5)/((-20)/g) - -51. Calculate the greatest common factor of 135 and w.
27
Let y = -19 - -21. Suppose 0 = -y*z + 22 + 10. Calculate the highest common divisor of z and 112.
16
Let v(b) = -141*b**2 + 1. Let k be v(1). Let m = k - -150. Calculate the greatest common divisor of m and 55.
5
Let l be 2/((-8)/(-6))*2. Let q be 39/l - 3/1. What is the greatest common factor of 10 and q?
10
Suppose 14*g - 72 = 13*g. What is the greatest common divisor of 32 and g?
8
Suppose -6 - 12 = -l. Let k be (1 + l/(-10))*-10. Suppose 0 = -4*z + z + 168. Calculate the highest common factor of z and k.
8
Suppose 4*f = 11 - 27. Let l be (7 + f - 2) + 20. Let u = -10 + l. Calculate the highest common divisor of 1 and u.
1
Suppose 25 = 5*b, 41 = -10*m + 12*m + b. What is the greatest common divisor of m and 12?
6
Let j(b) = 11*b**2 + 2*b + 3. Let u be j(-1). Let q(d) = d**2 + 2*d - 3. Let k be q(-5). What is the greatest common divisor of u and k?
12
Let r = -10 - -14. Suppose -324 = -0*m - r*m. Let h = -7 + 16. Calculate the greatest common factor of m and h.
9
Suppose 0 = -3*d - 0*o + 5*o - 10, -5*d - 3*o + 40 = 0. Let v be (d - -1)/(-3) + 212*1. Calculate the greatest common factor of v and 30.
30
Let z = 392 + 568. What is the greatest common divisor of 48 and z?
48
Let t be 5 - 5/((-5)/43). Calculate the greatest common factor of 40 and t.
8
Let p(y) = 49*y - 42. Let m be p(2). What is the greatest common factor of m and 70?
14
Suppose 3146 - 1034 = 16*d. What is the highest common divisor of 300 and d?
12
Let a(n) = -128*n + 52. Let y be a(-1). Calculate the greatest common divisor of y and 8.
4
Suppose 4*l + 19 = -33. Let r = 17 + l. Let f be 1 + -2 - (r + -7). Calculate the greatest common divisor of f and 3.
1
Suppose -4*z + 320 = 2*j, z - 80 = -3*j - 0*j. Let t be (-3774)/(-119) - -2*(-2)/(-14). What is the greatest common divisor of t and z?
16
Let b = 61 + -17. Calculate the highest common divisor of 16 and b.
4
Let j = 4 - 2. Suppose j*o - 9 = 13. Calculate the highest common divisor of 33 and o.
11
Let f = 15 - 9. Let h be (-39)/(-2)*(-88)/f. Let j = -141 - h. What is the greatest common divisor of j and 29?
29
Let x(h) = -7*h**3 - 4*h**2 - 3*h - 2. Let n be x(-3). Suppose 4*f + c - n = 0, f - c - 40 = -3*c. Calculate the highest common factor of f and 100.
20
Let t = -576 + 661. Calculate the highest common factor of 5 and t.
5
Suppose -33*i - 294 + 2076 = 0. Let v = 2 + -1. Let u be (-18)/(-4)*v*8. Calculate the greatest common divisor of u and i.
18
Let s be (-2)/19 + (-3820)/(-190). Calculate the highest common divisor of s and 4.
4
Suppose 0 = 3*m - 12, -x + 7 = -4*m - 3. Let j be 8*-2*x/(-16). Suppose -15 = -4*q - 7, -3*q - j = -4*p. Calculate the greatest common factor of p and 48.
8
Let i be ((-3)/1)/((-4)/4). Suppose -i*w + 33 = -x + 5*x, -4*w = 20. Calculate the highest common factor of 84 and x.
12
Let o be 300/(-70)*28/(-10). What is the highest common factor of 384 and o?
12
Let c(u) = u**3 - 13*u**2 + 13*u - 4. Let l be c(12). What is the highest common divisor of 20 and l?
4
Let g be 245/77 - 6/33. Suppose -2*k = -g*h + 528, 0 = 2*k + k. Calculate the highest common divisor of h and 16.
16
Suppose -k - v + 1 = -1, -5*v - 5 = 0. Let c be (k/2)/(7/14). Calculate the greatest common divisor of 27 and c.
3
Let k be 11 - 1 - (-5)/(70/364). Let m = 690 + -402. Calculate the greatest common factor of m and k.
36
Let k(w) = 4*w - 86 + 4*w + 86 - w**3. Let d be k(-4). What is the greatest common divisor of 352 and d?
32
Let o be (-1 + 4/2)*21. Let m(q) = -6*q + 9. Let r be m(0). Let z = o - r. What is the highest common factor of z and 12?
12
Suppose -5*z + 2*z - 4*h + 1231 = 0, -2*h = z - 413. Suppose 0 = -6*t + t + z. Calculate the greatest common divisor of 9 and t.
9
Let j be 19 - (-2)/((-2)/(-1)). Let h be ((-15)/j)/((-3)/72). Calculate the greatest common factor of h and 6.
6
Let n(l) = -6*l + 288. Let i be n(-17). What is the highest common factor of 60 and i?
30
Suppose 0 = 9*p - 549 - 711. What is the highest common factor of p and 350?
70
Suppose 0 = -2*v - 3*o + 199, 4*v = o - 161 + 580. Suppose -6*n = -v - 94. Let y = -15 + n. What is the highest common factor of y and 54?
18
Let s(u) = u**2 - u + 74. Let y be s(0). Let a be 13 + 1/(3/(-9)). Let j = y - a. What is the highest common factor of 8 and j?
8
Suppose -5*f = 5*n - 103 + 3, 2*n + f = 37. Suppose 0 = 2*b + 5*r + 5 - 1, 4*r + n = 3*b. Calculate the greatest common divisor of b and 57.
3
Let k be (-18942)/(-99) - (-8)/(-6). Calculate the highest common divisor of k and 114.
38
Suppose -j = -1 + 6. Let z = 7 + j. Suppose 0 = -2*m + 2*c - z - 0, -5*m - 2*c + 30 = 0. What is the greatest common factor of m and 4?
4
Let t(f) = -323*f + 1. Let d be t(1). Let v = d + 601. Calculate the greatest common divisor of 31 and v.
31
Suppose -h + 142 - 32 = 0. Suppose 0*v = 2*v. Suppose t - 57 + 13 = v. Calculate the greatest common factor of t and h.
22
Let z(k) = -k**2 + 11*k - 16. Let r be z(9). Suppose -r*a + 228 = -152. Calculate the highest common divisor of 38 and a.
38
Let q(j) be the third derivative of -j**5/60 - 2*j**4/3 + j**3/2 + 22*j**2. Let s be q(-15). What is the highest common divisor of s and 18?
18
Let k be -9*(2 + (-14)/3). Let s = 1123 + -1027. What is the highest common factor of k and s?
24
Let o be (7 - -255) + -5 + -1*4. Calculate the highest common factor of 23 and o.
23
Let v be (4/5)/(8/20). Let g = 1 - -5. Let z be (-70)/g*12/(-10). Calculate the greatest common divisor of v and z.
2
Let m be 1 + -2 + 4 - -2. Suppose q - 4*o = 6*q - 14, -5*q + m*o = -50. Calculate the highest common factor of 24 and q.
6
Let q(g) = -10*g. Let k be q(-2). Let j = 101 + -21. Suppose h + 0*h = 5*o + j, h + o - 80 = 0. Calculate the highest common divisor of h and k.
20
Let z be (-53)/(((-1105)/(-185) - 6)*1). What is the highest common divisor of z and 37?
37
Let c(w) = w**2 + 2*w - 3. Let j be c(-3). Let p(m) = -m**3 + 2*m + 13. Let k be p(j). Calculate the highest common divisor of k and 169.
13
Let d(k) = 8*k**2 + 29*k + 29. Let t be d(-1). Let b(i) = i**2 - 7*i - 4. Let o be b(-5). What is the greatest common divisor of t and o?
8
Let h be -75*(1 - -1 - (-372)/(-155)). Calculate the highest common divisor of 2445 and h.
15
Suppose -5*d = d - 234. Calculate the greatest common factor of d and 52.
13
Let x = -2 + 23. Suppose -7*o + 0*o + 49 = 0. What is the highest common divisor of o and x?
7
Suppose 0*q + 144 = 4*q. Let s(h) = h - 9. Let y(g) = -g + 14. Let a(i) = 8*s(i) + 5*y(i). Let l be a(2). Calculate the greatest common factor of l and q.
4
Let f be 43 - (-1 - 3/3). Let b = 668 + -653. What is the highest common divisor of b and f?
15
Suppose 4*d + 10 = 2*y - 0*d, 3*y + 2*d + 17 = 0. Let h be y/3*(-6)/(-2) - -129. What is the greatest common divisor of 14 and h?
14
Suppose 5*v = -3*x - x + 41, -14 = -x - 2*v. Let d(b) = b**3 - 6*b**2 + 16*b - 2. Let z be d(x). What is the greatest common factor of z and 12?
6
Suppose 10*z - 9381 = 279. Calculate the greatest common factor of z and 42.
42
Suppose 5*n - 32*n = -432. What is the greatest common factor of 3 and n?
1
Suppose 3 = -3*r, 5*p - 60*r = -57*r + 88. Calculate the greatest common divisor of p and 544.
17
Let k(h) = -h**3 - 3*h**2
|
{
"pile_set_name": "DM Mathematics"
}
|
4*s + 4*z, -i*z = 4*s + 3 + 17 for s.
-2
Let k = -741 + 747. Solve -h = -6*m + 4*m - k, -h = -3*m - 11 for m.
-5
Let o = 9 - 7. Suppose 0 = -o*j + 5*f + 23 + 27, -3*f = -12. Suppose -5*x - h + 3*h = -5, j = 5*x + 4*h. Solve -5*y - 5 = -3*m, 2*m + x*y = -0*y - 3 for m.
0
Suppose 57*b - 77*b + 120 = 0. Solve 3*f = f - o - 1, -3*f = -3*o + b for f.
-1
Suppose 3*j + 3*y - 15 = 9, -4*y + 27 = 3*j. Suppose -3*v + 12 = v + c, j*v = -3*c + 22. Solve 0 = -4*i - 5*f, -v*i = -i - 2*f for i.
0
Let k(r) = 101*r + 105. Let j be k(-1). Solve -x - 4*c = -j*x + 10, 9 = 3*x - 3*c for x.
2
Let x = 17 + -12. Let d(t) = t**3 + t**2 - t. Let q be d(2). Suppose 0*r = -5*f + 2*r + q, 3*f - r - 6 = 0. Solve 0*m - m = f*s - 7, 0 = -3*s - x*m for s.
5
Suppose 7*a - 11 = 17. Suppose 2*p - 12 = -a*p. Solve 3*m + 15 = -2*b, 3*b - 5 = -p*m - 20 for m.
-3
Let i = 171 + -151. Let l be 9 - 2*i/8. Solve l*n + 2 = -2*p, p - 3*n + 16 = 5 for p.
-5
Suppose 8*h + 16 = 10*h. Suppose -2*l - 2*l = -h. Suppose 7 + 9 = 4*m, 0 = 2*p + 4*m - 24. Solve -i = -2*n - l*i, 0 = n - p*i for n.
0
Suppose 3*x - 15 = -5*g, -23*x = -22*x + 4*g - 5. Solve 0*d + d = -2*q - 4, -5*d = x*q for q.
-4
Let k = 239 + -237. Solve 3*v - 2*u - 6 = 0, k*u = -2*v + u + 4 for v.
2
Let w = -1 + -3. Let j be -32*-1*(-2)/w. Suppose 2*x = 3*n - 2, 3*n + 4 - 11 = x. Solve 14 = 4*m + 2*q, 3*q - j = -m - n*m for m.
5
Let p(o) = o**3 + 6*o**2 + 4*o - 2. Let x = -29 + 24. Let v be p(x). Solve 2*r - v = w, -5*w + 4*r + 33 = 6*r for w.
5
Let l be (8/3)/((-3)/(-45)). Let k(x) = x + 12. Let c be k(-4). Let j be 4 + (-4)/(c/(-4)). Solve -j*h - 5*q + l = -h, 2*q - 10 = 0 for h.
3
Let n be 13/1 + 8/(-1). Solve 0*q - 3*q - n*x = 0, -x + 3 = 0 for q.
-5
Let b(y) = -y**3 - 3*y**2 - 3*y - 3. Let m be b(-2). Let c = 10 + m. Solve -3*q + 11 = -2*k, -4*k + 5*q - 28 = -c for k.
-1
Let n(j) be the third derivative of j**5/30 + j**4/24 - j**3/2 + j**2. Suppose -31*h - 34 = -14*h. Let s be n(h). Solve 3*b + y = 7*b - 9, 2*b = -s*y + 1 for b.
2
Suppose 5*s - 31 = -3*a, 16 = a + s + 5. Solve l + 4*w = -3*l + 12, 5*l + 2*w - a = 0 for l.
2
Suppose 264 = l + 262. Solve 3*s + 17 - 2 = 2*q, 0 = 5*s - l*q + 25 for s.
-5
Suppose -6*c = 4*o - 34, -16 = -4*c - 7*o + 6*o. Solve 2*i = -3*z - 1, i = c*i - 3*z + 19 for i.
-5
Suppose -t + 4*t - 17 = a, -4*a = -4. Solve 8 = -2*q, -2*c - t*q = -3*q + 22 for c.
-5
Let v = -583 + 587. Solve -4*j + 1 = w, w - j - v*j = 10 for w.
5
Let q(m) = -8*m - 30. Let o be q(-4). Solve -4*h + 5*t + 18 = -11, t = o*h - 7 for h.
1
Suppose -2*f - f - 4*k + 29 = 0, 10 = 5*f - k. Suppose -q - 2*z = -4, 0*q - 6 = 4*q - f*z. Solve -4*n - 5*b + 3*b - 20 = q, 26 = -5*n - 3*b for n.
-4
Let g be 3/5 + (96/15 - 4). Suppose -g*j - 96 = -4*b, 2*j - 52 - 24 = -4*b. Solve 0 = -5*i - 4*h + 15, b = 4*h + 1 for i.
-1
Suppose -3 = 3*d, 5*d + 2 = 4*j - j. Suppose 8598 = f + 8594. Let z = j + f. Solve 0 = -z*q - 3*y + y - 4, -8 = -2*y for q.
-4
Let t = 53 + -53. Suppose t = -2*d + 6 + 2. Solve -4 = -x + 2*x + 2*u, 0 = 4*x + 2*u + d for x.
0
Suppose 2*j = 4*j - 8, -3*j + 7 = -s. Let c = -1 + 1. Let i be (-3)/2*(0 + -2) + 0. Solve 2*u - s*m + 9 = c, 0*m + i = 4*u - 3*m for u.
3
Suppose -3*w - 80 = w. Let p be 5*((-672)/w)/4. Let d be (-12)/14*p/(-9). Solve -3*t - s - 2 = d*s, 3*t + s = -10 for t.
-4
Let q be 1/(-2) - (-57)/2. Let d be 0 - 88 - (-2 - 2). Let v = -82 - d. Solve 4*k = -2*b - q, 0 = v*b - 7*b - 20 for k.
-5
Let g be 429/65 - 2/(-5). Solve 2 = h + 2*p, 4*h - 1 - g = -5*p for h.
2
Let k be (-9 + -1)*2/5. Let i(n) be the second derivative of n**4/12 + n**3/3 - n**2 - 9*n. Let q be i(k). Solve 3*m + q = c - 0*m, -10 = -5*c - 5*m for c.
3
Suppose k + 5*y + 5 = -12, 2*k = -2*y - 2. Solve 3*t = -t + 4, k*t + 12 = -3*s for s.
-5
Let a be (-186)/(-16) + 39/104. Solve 24 = 5*l - 5*f + 8*f, l - 5*f + a = 0 for l.
3
Suppose n + 6 - 17 = 0. Let y = 2 + 0. Suppose y*z - 25 = -3*z. Solve n = i - 5*k, -z*i = k + 14 + 9 for i.
-4
Suppose 5*x + 14*m - 15*m - 24 = 0, 4*m = 4. Solve 3*s + 0*s = -2*n + 16, 0 = s - x*n + 23 for s.
2
Suppose 2*a - 6 = 2*z - 4, 5*a + 3*z = 21. Solve -a*l = -o - 5, -l + o - 1 = -0 for l.
3
Let q be ((-10)/(-4))/(3/(-24)). Suppose 5*c - 5*o = -105, -c - 11 = -0*c + o. Let z = c - q. Solve 6 - 22 = 4*h + 4*b, 2*h - z*b - 10 = 0 for h.
-1
Suppose -47*w = -50*w + 9. Solve w*j + t = -13, -5*j - t - 21 = t for j.
-5
Suppose 0 = -2*q + 10. Suppose -17*z - m = -13*z - 374, 2*z + 4*m - 194 = 0. Let o = z - 92. Solve -n = -d + q, -2*d + 3 + o = 0 for n.
-3
Suppose c = b - 2, 0*b - 3*c = -2*b + 6. Solve p + 3*v - 14 = b, 0 = 3*p - 0*v - 2*v + 13 for p.
-1
Let i(u) = -2*u + 6. Let g be i(0). Let w(c) = -6*c + 18. Let q be w(g). Let r = -14 - q. Solve -5*m = -2*s - 11, s - 4*m + 3*m + r = 0 for s.
-3
Let d(b) = -b**3 - 7*b**2 - 3*b - 16. Let o be d(-7). Solve 2*c - 4*c = o*t - 25, -t = -5 for c.
0
Let g = 472 - 470. Solve 6 = g*o, -2*d + 1 = o + 8 for d.
-5
Suppose -11*s = -13*s + 6, -j + s = 0. Solve 5*g + 5*f + 22 - 52 = 0, -j*g + 5*f = 14 for g.
2
Let q = -1 + 4. Let l = 7 - q. Let t = 89 + -89. Solve 4*w - 5 = 3*w - 3*v, -5*w - l*v + 14 = t for w.
2
Let w be (1/3)/(2/(-30)). Let l be (-36)/10*20/8. Let j = w - l. Solve 3*t + 2 = -5*d - 13, 3*t = j*d + 12 for d.
-3
Suppose -201*t = -215*t + 266. Solve t = -3*m - 5*b, -5*m + 3*b = -b + 7 for m.
-3
Let r be 100/36 + (-3 - 29/(-9)). Suppose 3*m - r*o + 11 + 1 = 0, 0 = 3*m + 3*o - 12. Solve 6*v + d + 20 = v, -5*v + d - 10 = m for v.
-3
Let f(w) = -w**2 - 18*w - 26. Let l be f(-16). Let g be (-1)/((-1)/5*1). Let i(o) = -o + 4. Let s be i(0). Solve g*a - s*v + 6 = 0, 4*a + 3*v = 5*v - l for a.
-2
Suppose -4*p - 15 = -31. Suppose 2*b - 3*r = -6, 8 = p*b + 5*r - 24. Solve -y - 4 = -b*n + 8*n, 8 = -2*y - 3*n for y.
-4
Let x be (3*(-10)/(-10))/1. Let j(v) = v**3 + 2*v**2 - v - 2. Let t be j(-2). Solve 0 = -x*h - 4*s + 2*s - 14, t = 2*h + s + 8 for h.
-2
Let l be 0/2*(4 - (1 - -2)). Suppose 20 = 4*k - l. Solve -14 = 2*c - 4*f, k*f = -3*c - 0*c + 23 for c.
1
Let s = 5 + 0. Let m = -4 + 8. Suppose -b - 4*k = -19, -m*b + 2*k - 5 = -3*b. Solve 2*h - n = -2*n + b, -4*h = -s*n + 29 for h.
-1
Let c = -15 + 25. Let t = c + -6. Suppose 2*b - 3*n - 10 = 6, -t*b - 8 = 4*n. Solve -3*q = -5*y + 11 - b, 4*y = -5*q - 15 for y.
0
Let r(h) = -h**2 - 10*h - 12. Let i be r(-9). Let b(w) = -3*w - 4. Let m be b(i). Suppose n - 18 = 15. Solve -n = 4*a + 3*s - 8*s, -m*a = -3*s + 25 for a.
-2
Let c = 11 - 10. Suppose c + 3 = d. Solve d*n = -16, 0*n - 2*n - 24 = -4*l for l.
4
Suppose -16*q = -181 - 155. Solve -g - s - 13 = 3*s, -3*g + 3*s + q = 0 for g.
3
Let b(f) = 3*f + 12. Let q be b(-9). Let s = 21 + q. Solve -c + s*c + 10 = 4*a, -10 = 5*c - 2*a for c.
-2
Let m be (8/2 + -6)*(-3 + 0). Let s(h) = 5*h - 23. Let b be s(m). Solve -3*d = -2*d + o + b, 5*o + 20 = 0 for d.
-3
Suppose 40 = 2*x - 2. Let z be 82/14 - (-3)/x. Suppose 3*r + 5*k = 2, -3*r + k = -z*r + 10. Solve -2*l - 5 = 4*w - 3*l, r*w - 3*l + 7 = 0 for w.
-1
Suppose -93*n = -94*n - 34. Let a = -30 - n. Solve -y + a*s - 8 = 0, -4*y + 3*s = -8 + 1 for y.
4
Let a = -1 + 3. Suppose -m + 4*m + 4 = -c, -m + 5*c + 20 = 0. Let y be 2/(-6)*(0 + m). Solve -10 = 5*t - 3*t - a*z, -2*t + 3*z - 11 = y for t.
-4
Let i = 15 + -11. Suppose 0*a - i*a + 13 = 5*b, 0 = 2*a - b - 3. Suppose -a*h + 27 = -5*y, 4*y - 6 = 4*h - 54. Solve -2*o - h = 2*n - o, 4*n + 28 = -4*o for n.
-4
Suppose -8*p + 112 = 20*p. Solve g = -5*b - 2, 3*b - b = -p*g + 10 for b.
-1
Suppose 0 = 7*l + l - 48. Solve l*v + 2*k + 11 = v, -v = 2*k + 7 for v.
-1
Let q = -197 - -195. Suppose -3*d = d - 8. Let b be -2*(q - 11/d). Solve -5*p + 3*x - 7 = 2, 3*p + b = 5*x for p.
0
Suppose 112*b + 947 = 2963. Let u be 388/14 + 2/7. Suppose 3*v + 46 = 2*l + 3*l, 4*l - u = -2*v. Solve 0*h = -k - 4*h + b, -k + l = 2*h for k.
-2
Let v = -285 - -288. Solve 2*u - 20 = 4*g + 4, 3*g + 9 = -v*u for u.
2
Suppose -3*t + 3*i + 6 = 0, i + 19 = -5*t - 1. Let f be (t + 0)/(15/(-25)). Suppose f*r = 6*r - 2. Solve 2*k - r*p - 10 = 0, -22 = -5*k - 5*p - 7 for k.
4
Let l = 65 - 65. Let q = -23 - -38. Suppose -a = -5*p - q, -2*a + l*p = 4*p - 2. Solve 5*o - 2*z - 20 = 0, a*o - 3*z - 7 = 13 for o.
4
Let d be ((-4)/(-6))/((-13)/156). Let r = d + 8. Suppose 0 = -j - 3*n - 12, -4*j - n - 2*n - 3 = r. Solve -5*x = z + 2, -8*x + j*x = 3*z -
|
{
"pile_set_name": "DM Mathematics"
}
|
Let w(n) = 3*n**2 + 183*n - 185. What is w(-63)?
193
Let n(h) = 2*h**3 - 85*h**2 + 411*h - 147. Calculate n(37).
1
Let g(m) = -1400*m + 793803. Determine g(567).
3
Let h(x) = -37069*x - 259451. What is h(-7)?
32
Let y(q) = -217*q**2 - 482*q + 1930. Calculate y(4).
-3470
Let d(x) = 1152*x**2 + 681*x - 460. Calculate d(-1).
11
Let m(q) = 753*q + 74553. Calculate m(-99).
6
Let k(b) = 36*b**2 + 4347*b - 17991. Determine k(4).
-27
Let c(q) = -15*q**2 - 1662*q - 3054. Give c(-109).
-111
Let u(f) = -13*f**3 - 320*f**2 - 34*f - 637. Calculate u(-25).
3338
Let r(z) = 300*z + 6752. Calculate r(-25).
-748
Let w(k) = k**3 - 37*k**2 - 184*k + 194. What is w(42)?
1286
Let q(l) = 4*l**3 + 45*l**2 + 12*l + 735. Give q(-12).
159
Let w(g) = -167*g - 2235. Determine w(-11).
-398
Let r(h) = h**2 + 3*h + 405. Calculate r(-14).
559
Let v(x) = -389*x + 40031. Give v(103).
-36
Let d(f) = -f**2 + 603066*f + 6633849. Give d(-11).
2
Let i(u) = 11*u**3 + 7*u**2 + 304*u + 1199. Give i(-4).
-609
Let j(d) = 3*d**2 + 4050*d - 16226. Determine j(4).
22
Let i(t) = -t**2 + 73*t + 4313. Give i(111).
95
Let d(m) = -6*m**2 - 2691*m + 21905. Calculate d(8).
-7
Let x(s) = -14*s**3 + 13*s**2 + 9*s + 1. Determine x(-2).
147
Let j(u) = -251*u**2 + 50968*u - 3042. Determine j(203).
3
Let r(i) = 11*i**2 + 423*i + 1018. What is r(-35)?
-312
Let m(c) = -c**2 - 5331*c + 16000. What is m(3)?
-2
Let u(k) = -2*k**3 + 24*k**2 + 631*k + 2521. Determine u(-8).
33
Let l(y) = -4*y**3 - 113*y**2 - 5*y - 2665. Give l(-29).
3
Let c(i) = i**2 + 17*i + 60. Give c(15).
540
Let q(n) = 2034*n + 50263. Give q(-25).
-587
Let s(u) = -2*u**2 + 1121*u - 103777. What is s(117)?
2
Let y(w) = w**3 + 12*w**2 - 596*w + 3256. Determine y(15).
391
Let t(z) = -10*z**3 + 421*z**2 - 61*z + 828. Determine t(42).
30
Let p(n) = -1611*n**2 + 259*n + 256. What is p(-1)?
-1614
Let r(h) = -15*h**2 - 20377*h - 40749. Give r(-2).
-55
Let m(h) = -3*h**3 - 183*h**2 - 355*h + 188. Give m(-59).
247
Let r(a) = a**3 - 322*a**2 + 688*a - 15390. Determine r(320).
-30
Let x(y) = -8142*y - 199. Give x(0).
-199
Let a(l) = l**3 - 25*l**2 + 109*l + 33. Calculate a(10).
-377
Let n(p) = -p**3 - 171*p**2 + 11342*p - 1027. Give n(51).
-7
Let u(l) = -4*l**2 - 762*l - 16038. Calculate u(-22).
-1210
Let r(q) = -1006*q - 33341. Determine r(-33).
-143
Let v(d) = 25206*d - 226746. Give v(9).
108
Let c(f) = f**3 + 22*f**2 - 354*f - 85. What is c(-32)?
1003
Let x(h) = h**3 - 110*h**2 - 233*h + 479. Determine x(112).
-529
Let y(p) = 2*p**3 - 82*p**2 + 6*p - 2. Determine y(41).
244
Let l(m) = -m**3 - 10046*m**2 + 221505*m - 196. What is l(22)?
2
Let v(c) = 3*c**3 - 103*c**2 - 177*c - 59. Give v(36).
49
Let v(g) = -31*g**2 + 1890*g + 15. Give v(63).
-3954
Let w(g) = 514*g - 131617. Give w(258).
995
Let t(l) = -382*l - 210865. What is t(-552)?
-1
Let x(w) = 132*w**2 + 3713*w + 14893. Determine x(-4).
2153
Let p(t) = 422*t**2 - 5077*t + 222. Determine p(12).
66
Let h(c) = 4*c**2 - 2615*c + 13061. Determine h(5).
86
Let n(t) = -799*t - 40782. Give n(-51).
-33
Let i(s) = -7903*s + 47560. Give i(6).
142
Let v(b) = -94392*b - 6607436. Give v(-70).
4
Let b(p) = 2*p**3 + 182*p**2 - 176*p + 927. What is b(-92)?
191
Let u(c) = -272288*c + 816873. What is u(3)?
9
Let q(h) = 640*h + 35848. Determine q(-56).
8
Let l(q) = 84*q**2 + 14906*q - 8231. Determine l(-178).
-43
Let u(s) = s**3 + 257*s**2 + 64*s - 19. What is u(0)?
-19
Let h(w) = 12*w**2 - 2572*w + 917. Determine h(213).
-2491
Let t(v) = v**3 + 338*v**2 + 1624*v - 13662. Determine t(-333).
-9
Let x(h) = 15754*h + 346594. What is x(-22)?
6
Let g(k) = -k**3 - 1489*k**2 + 39391*k - 37. Give g(26).
-11
Let c(m) = 6*m**2 - 993*m - 14997. Determine c(-14).
81
Let f(k) = -3*k**3 - 10*k**2 - 312*k - 2050. What is f(-6)?
110
Let y(i) = -2*i**3 + 169*i**2 + 2191*i - 191102. Determine y(84).
-2
Let q(t) = t**3 - 33*t**2 - 325*t - 232. What is q(-7)?
83
Let j(o) = -6721*o + 342768. Calculate j(51).
-3
Let b(d) = -4*d**3 + 40*d**2 + 1340*d + 83. Give b(24).
-13
Let d(z) = -238*z - 3799. Calculate d(-16).
9
Let r(d) = -6277*d + 35898. What is r(6)?
-1764
Let w(s) = 22*s**3 + 18*s**2 - 294*s + 1628. What is w(6)?
5264
Let a(d) = -2*d**2 + 2519*d + 22741. Determine a(-9).
-92
Let t(o) = 33*o**3 - 231*o**2 - 21*o + 1. What is t(7)?
-146
Let z(j) = 2*j**2 + 8*j - 35765. What is z(-136)?
139
Let b(r) = -16*r**3 - 10*r**2 - 92*r + 109. Determine b(1).
-9
Let o(d) = 2973296*d + 20813074. Determine o(-7).
2
Let p(g) = 247*g - 3071. Calculate p(13).
140
Let s(h) = -2412*h - 2505. What is s(-1)?
-93
Let a(b) = -b**2 + 212*b + 11871. What is a(258)?
3
Let i(c) = 3418*c + 1063000. Calculate i(-311).
2
Let x(h) = -h**2 + 839*h - 107076. What is x(157)?
-2
Let v(j) = -j**3 - 96*j**2 - 157*j - 15209. What is v(-96)?
-137
Let r(h) = -2*h**3 + 339*h**2 + 174*h - 957. Determine r(170).
-277
Let r(y) = -2772*y - 16622. Calculate r(-6).
10
Let o(l) = 419*l**2 + 454*l - 107. Determine o(-2).
661
Let m(s) = s**3 + 77*s**2 - 2560*s + 245. What is m(25)?
-5
Let h(d) = 2*d**3 + 244*d**2 + 5267*d + 89. Determine h(-28).
5
Let j(d) = -638*d**2 + 22932*d + 11. Calculate j(36).
-1285
Let p(q) = 17*q**2 + 459*q + 5087. Give p(-11).
2095
Let v(h) = -37455*h + 149815. Calculate v(4).
-5
Let u(d) = d**3 + 178*d**2 - 344*d + 2742. What is u(-180)?
-138
Let z(p) = p**3 + 200*p**2 + 9964*p - 7. What is z(-106)?
-7
Let f(j) = -2*j**3 - 13*j**2 + 15*j + 304. What is f(-9)?
574
Let h(p) = 192*p**3 - 13*p**2 - 3472*p - 3459. Calculate h(-1).
-192
Let s(h) = -715*h - 33634. Calculate s(-47).
-29
Let t(p) = p**3 + 41*p**2 - 803*p - 29584. What is t(-44)?
-60
Let s(i) = 8622*i + 49603. What is s(-6)?
-2129
Let p(l) = 6*l**2 - 54*l + 1020. Calculate p(15).
1560
Let k(a) = -a**2 + 246*a - 12372. Determine k(70).
-52
Let c(d) = -4239*d**2 + 12716*d - 2. Determine c(3).
-5
Let a(q) = 385*q + 13842. Calculate a(-36).
-18
Let m(f) = f**3 - 31*f**2 - 281*f - 363. Calculate m(37).
-2546
Let c(z) = -1897*z + 95246. What is c(50)?
396
Let c(s) = 11*s**2 - 454*s + 82. Give c(42).
418
Let k(u) = 6178*u - 117295. What is k(19)?
87
Let l(f) = -f**3 - 7*f**2 + 178*f - 2444. Give l(-21).
-8
Let y(u) = -26*u**3 - 132*u**2 - 1777*u - 8832. Give y(-5).
3
Let b(z) = 6*z**3 - 214*z**2 + 1267*z - 39443. Determine b(35).
2
Let k(h) = -583*h - 16906. Calculate k(-29).
1
Let i(v) = 272*v + 38779. What is i(-143)?
-117
Let u(b) = -6*b**2 + 114759*b + 573952. Determine u(-5).
7
Let t(c) = -254*c + 4510. Calculate t(28).
-2602
Let r(j) = -3729*j - 432557. What is r(-116)?
7
Let o(n) = -n**3 - 38*n**2 + 14278*n + 215. Determine o(102).
11
Let j(u) = -u**3 - 139*u**2 + 569*u + 69. Determine j(4).
57
Let w(y) = 2*y**2 + 54*y - 548. Calculate w(21).
1468
Let r(w) = -w**3 + 16*w**2 + 116*w + 1055. Give r(22).
703
Let m(o) = -5*o**3 + 549*o**2 + 113*o - 346. Determine m(110).
-16
Let k(b) = 16006*b + 11700390. Give k(-731).
4
Let m(p) = -163*p + 2469. Determine m(16).
-139
Let d(n) = -412*n**3 + 381*n**2 + 4*n - 7. Determine d(2).
-1771
Let z(m) = 57*m**3 + 370*m**2 + 22*m + 39. Calculate z(-6).
915
Let d(y) = -13100*y + 236647. What is d(18)?
847
Let d(w) = 5*w**3 - 15*w**2 - 122*w - 137. Give d(7).
-11
Let q(i) = i**3 - 26*i**2 + 166*i + 25. Give q(13).
-14
Let s(o) = -241*o**2 - 9376*o + 898. What is s(-39)?
1
Let a(r) = -7*r**2 + 356*r - 4199. Give a(12).
-935
Let c(k) = 2*k**3 + 15*k**2 + 27*k - 45. What is c(-8)?
-325
Let w(v) = -v**3 + 334*v**2 + 3084*v + 703. Determine w(343).
-326
Let a(c) = -69*c + 8244. Calculate a(68).
3552
Let k(i) = 196*i**2 - 683*i - 93. Give k(4).
311
Let y(t) = -4356*t + 78381. What is y(18)?
-27
Let r(m) = m**2 + 322*m + 3893. Determine r(-310).
173
Let a(f) = -5*f**2 + 256*f + 64. Calculate a(16).
2880
Let a(k) = 2*k**3 + 186*k**2 - 573*k + 272. What is a(-96)?
-16
Let f(o) = 3*o**3 + 1649*o**2 + 1054*o - 24164. What is f(-549)?
-8
Let w(a) = -51*a**2 + 268*a - 203. Calculate w(7).
-826
Let f(k) = 2*k**3 + 17*k**2 + 6*k - 49. Determine f(-11).
-720
Let z(x) = -213*x**2 - 1102*x + 2. What is z(-6)?
-1054
Let k(w) = 9*w**3 + 9*w**2 - 4*w + 76. Calculate k(4).
780
Let b(p) = 19*p**2 + 203*p + 646. Give b(-9).
358
Let z(v) = -2*v**2 - 126*v + 6841. Calculate z(34).
245
Let o(f) = 12740*f**2 - 114618*f - 10. Give o(9).
368
Let c(o) = -o**3 + 261*o**2 - 4712*o + 8786
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the second smallest value? (a) -5 (b) -0.16 (c) 76 (d) 27 (e) 9
b
What is the seventh smallest value in -29, 3, -4460, -1/8, -0.3, 0.2, -1/4?
3
Which is the third smallest value? (a) 2.7 (b) 0.4 (c) 32 (d) 773/55
d
Which is the smallest value? (a) -5 (b) -0.11 (c) -16 (d) -0.4 (e) 10495
c
Which is the fifth biggest value? (a) -0.14 (b) 4/4161 (c) 0.4 (d) -0.19 (e) 0.16 (f) 2/3
a
What is the biggest value in 141/4, 4, -176, -7, -20?
141/4
Which is the third smallest value? (a) 2/89 (b) 0.079 (c) -3.388
b
Which is the third biggest value? (a) -6368 (b) 2/5 (c) 2.27
a
What is the biggest value in 2, -1/3, 0.749001?
2
What is the seventh biggest value in 0.4, -1/5, 4/13, 0.3, -0.07, -5, 1?
-5
What is the fourth smallest value in -4, 2, -0.1, -494, -2/5, -0.65, 2.7?
-2/5
Which is the biggest value? (a) -7282 (b) 1 (c) -14
b
Which is the third biggest value? (a) -236.5 (b) -1528 (c) -6 (d) 2/9
a
What is the smallest value in -3/8, 2/3, -1, 81, 78?
-1
What is the second biggest value in 1/2, 3, -5, -2/9, -1, 1, -3.73?
1
Which is the second biggest value? (a) 2796/31 (b) 2/307 (c) 7/4
c
Which is the third biggest value? (a) -0.5 (b) -12/19 (c) -16008
c
Which is the third smallest value? (a) -10163/3 (b) -0.4 (c) -2 (d) -1/10 (e) -4
c
What is the second smallest value in 41, -2, -827?
-2
What is the fifth biggest value in -1/9, 169, 0.5, 298, 2/3, -0.075, -3?
-0.075
Which is the fifth biggest value? (a) -5 (b) 6/13 (c) 0.1 (d) -1/7 (e) 8 (f) -3/100
d
Which is the smallest value? (a) 0.2 (b) -0.1 (c) 0.4 (d) -16 (e) -6 (f) 673 (g) 2
d
What is the second biggest value in -0.09296, 0.1, -1/7?
-0.09296
What is the fifth smallest value in 2, 1/46, 29, -2.7, 166?
166
Which is the second smallest value? (a) -42/13 (b) 3 (c) -0.1 (d) -2/3 (e) 4/7 (f) -102
a
What is the second smallest value in -107, -25287, -2?
-107
Which is the smallest value? (a) -28.91 (b) -2 (c) 46/15
a
What is the biggest value in 0.052, 0.37, 1, 2/7, 5.57, -5?
5.57
Which is the fourth biggest value? (a) -2/11 (b) 2 (c) 139 (d) -1/5 (e) 14 (f) 3/8 (g) -4
f
Which is the fourth smallest value? (a) -1 (b) -11 (c) -0.16 (d) -3 (e) 5 (f) 6/13 (g) -5
a
Which is the fifth smallest value? (a) 5 (b) 12/11 (c) 4 (d) -5 (e) 9/62
a
Which is the second biggest value? (a) -3 (b) -14 (c) -36 (d) -26
b
What is the third smallest value in -1724, -3420, 0.1?
0.1
What is the smallest value in -7/4, -0.5, 2/9, -0.13, 5, 3/5, -2/5?
-7/4
What is the second smallest value in 0, -2, -13313, -16?
-16
What is the third smallest value in 0.5, -5/4, -1, 4, -42, -3325, 1/4?
-5/4
What is the fourth smallest value in -3/2, 3, -8239.256, 1/8?
3
What is the second smallest value in -3/224, 7197.6, 1/3?
1/3
What is the fifth biggest value in -39, -8, 0.1, -2, 0.3, 1.4, 9?
-2
Which is the third biggest value? (a) 4 (b) -51722 (c) 3 (d) -255 (e) -4
e
What is the third biggest value in -20, -5/34, -8.8?
-20
What is the third smallest value in -3/4, 2/615, 0.48, -710?
2/615
Which is the second biggest value? (a) 3/2 (b) 2001 (c) 0.01 (d) 2/3 (e) -115
a
What is the smallest value in -1376750, -3/7, -18?
-1376750
Which is the fourth biggest value? (a) 0.14 (b) 0.1 (c) 49 (d) -0.1182
d
Which is the smallest value? (a) -0.5 (b) 1/10930 (c) -0.006 (d) 6/5
a
What is the second smallest value in 2/3, 989, -1/51, 15?
2/3
Which is the sixth biggest value? (a) 1/8 (b) -0.5 (c) 1 (d) -2/9 (e) -8.1 (f) 2/1543
e
Which is the sixth biggest value? (a) 1/7 (b) 4 (c) -6 (d) -5/196 (e) -2 (f) -5
c
Which is the fifth smallest value? (a) -2 (b) 3/2 (c) 3/7 (d) -5 (e) 2 (f) -3/10
b
What is the smallest value in -3.54024, 31, 2, -4?
-4
What is the fifth biggest value in 0.2, -4.07457, 1, 2/3, -3/2, -1/8?
-3/2
What is the second biggest value in 5, 8, -81, 2/94993?
5
What is the second biggest value in 23963, 68, -1/8, 3?
68
What is the fourth biggest value in -55, 3, 5, -1934, 3/8?
-55
Which is the fourth smallest value? (a) -0.3 (b) 1/4 (c) 3.9 (d) 1/5 (e) 8/3 (f) 7/5 (g) -6/7
b
Which is the biggest value? (a) -2/7 (b) 0.3 (c) 79 (d) -6.589
c
Which is the third biggest value? (a) 10329 (b) 3/2 (c) 2/13 (d) 5 (e) -2 (f) -1 (g) -6/53
b
Which is the fourth smallest value? (a) -1/1540 (b) -6 (c) -7/6 (d) -4/3
a
Which is the second biggest value? (a) -0.2 (b) -3/5 (c) 14/19 (d) 32708
c
What is the smallest value in 11, -3, 0.2, -2999, 3/5?
-2999
What is the second smallest value in 346, 2.653, 0.5, -10, 3, -0.2?
-0.2
Which is the third biggest value? (a) 1/3 (b) -0.33 (c) -4/7 (d) 5/4 (e) -1/9 (f) 1.64
a
Which is the third biggest value? (a) 11/53 (b) -5/2 (c) -0.2 (d) -11
b
What is the third biggest value in -4/9, -0.82, 1, 1/524, 1/15, -2/3?
1/524
What is the smallest value in 4/15, -54/13, 0.5, 5, -1, -13?
-13
What is the third smallest value in -1, -1583, 0.01, 0.183?
0.01
Which is the second biggest value? (a) -507 (b) 1/24 (c) 47 (d) 22
d
What is the biggest value in -0.5, -2, -1, 2, -3/13, -5/128?
2
What is the second smallest value in -40, 0.5, 25189, 0.1?
0.1
Which is the fourth smallest value? (a) 2 (b) 1.5 (c) -2/3 (d) 21 (e) 3/4 (f) -80 (g) -2
e
What is the second biggest value in 3, -1/6, -321145, -2/11, 0, -2/3, -0.3?
0
What is the fourth biggest value in 3, -77/15, -2/2377, -1?
-77/15
Which is the seventh smallest value? (a) 4 (b) 0.4 (c) 0.02 (d) -1 (e) 2/85 (f) -3/5 (g) -3
a
Which is the smallest value? (a) 0.5 (b) 95 (c) 2 (d) -42 (e) -0.3 (f) 38
d
Which is the third biggest value? (a) -1819 (b) 1 (c) -2093
c
Which is the fourth biggest value? (a) 3/16 (b) -0.2 (c) 0.0567 (d) 64 (e) 1/2
c
What is the second smallest value in -6, 860/13, -11/4?
-11/4
What is the sixth smallest value in 2, -1, -3, -5, -207320, -2/11, 3?
2
What is the biggest value in -61, -10, -5/8, -12?
-5/8
Which is the second biggest value? (a) -13 (b) 0.23 (c) -4.2 (d) -3/4
d
What is the sixth smallest value in -4, -0.583, 1/6, -2, 14, -0.1?
14
What is the sixth smallest value in -24, 1, 40, 2, 3, -0.2, 1.79?
3
What is the second biggest value in 2, 24, -0.4, 7, -0.009952?
7
Which is the fourth smallest value? (a) -0.08 (b) -9/2 (c) 0.043 (d) -251
c
What is the fifth biggest value in -0.4, -2/2683, -2153.3, -0.5, 1/8?
-2153.3
Which is the third biggest value? (a) 137 (b) 0.05 (c) 1.1 (d) 0.4 (e) -2 (f) 3/2 (g) -1.2
c
What is the second biggest value in 12, 5/12, -0.0872?
5/12
What is the fifth biggest value in -0.0619, 0, -3/2, -5, -484, -0.03?
-5
Which is the fourth smallest value? (a) -9/7 (b) 0.1 (c) -5 (d) -0.1 (e) -1669 (f) -1/3
f
What is the fourth smallest value in 3/5, 3/23, -0.05, -118/5, -1?
3/23
What is the second smallest value in 5, -0.01, -2, -4, -1/6, 3, 58659?
-2
What is the biggest value in 0.1, 2, -1/79, 5/8?
2
What is the second biggest value in -0.2, -0.4, 6, -5, 0.06564, -3?
0.06564
Which is the second smallest value? (a) -4 (b) 3/17 (c) -201.435 (d) -5
d
What is the second smallest value in 6, -4, 5.5, 66901?
5.5
Which is the fourth biggest value? (a) 307 (b) -2/9 (c) 883 (d) 3/22
b
Which is the third smallest value? (a) -720.6 (b) 9/61 (c) -2/7
b
Which is the fourth smallest value? (a) 13663 (b) -11 (c) -2/3 (d) 4 (e) 0.2 (f) -3
e
Which is the second biggest value? (a) 1/3 (b) 9239176 (c) 2/9
a
Which is the second smallest value? (a) -3.0516 (b) -4 (c) 0.08
a
What is the sixth biggest value in 6/11, -0.02, -169, -0.05, -1404, -0.4?
-1404
What is the smallest value in 3475, -1/2, -11/4, -6?
-6
Which is the biggest value? (a) -837 (b) -12 (c) -1/2 (d) -2 (e) 115
e
Which is the fourth smallest value? (a) -3 (b) 6/5 (c) -2.9 (d) -0.3 (e) -28 (f) 3/77
d
Which is the third biggest value? (a) -0.02 (b) -3639 (c) 2/5 (d) 2/7
a
Which is the second smallest value? (a) -49.6 (b) 96 (c) -28
c
Which is the fourth smallest value? (a) -2/3 (b) -952 (c) 1 (d) 3.6
d
Which is the biggest value? (a) 1 (b) -0.1 (c) -0.8 (d) -4 (e) 3 (f) 0.0829
e
What is the second smallest value in 0.7, -109772, -0.04?
-0.04
What is the second biggest value in 3, -72, 235/641?
235/641
What is the third sm
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the closest to 2/5 in 1/2, 1/4, z?
1/2
Suppose -d = -4*k, 0*k = -3*k + 3*d. Which is the nearest to k? (a) 3 (b) -0.02 (c) -1/6
b
Let p = 71 - 70. What is the closest to 0 in -0.1, 0.3, p?
-0.1
Let b = 8 - 9. Let u be ((-7)/7)/(b - 2). What is the nearest to -0.1 in 2/21, u, -1/2?
2/21
Let k(n) = n**3 + 6*n**2 - n - 1. Let w be k(-6). Suppose -q - 11 + 10 = 0. Let x = 83 - 578/7. Which is the nearest to q? (a) -1 (b) w (c) x
a
Let l be (-3)/(-50)*100/75. What is the nearest to 0.1 in -1/5, l, -4?
l
Let f = -0.17 + 0.37. What is the nearest to 0.1 in f, 1, 2/9?
f
Let c = -9 - -4. Let b = 6 + -3. What is the closest to 1 in b, c, -1/6?
-1/6
Suppose -6*v = -2*v. Let h = 0 - 0. Suppose 0 = -4*i, h = 4*f - 9*f + 5*i + 15. Which is the nearest to 0.1? (a) f (b) v (c) -2
b
Let j be (2 - 10/8) + -2. What is the nearest to 1 in -5, 2/9, j?
2/9
Let n(y) = -y - 3. Let v be n(-5). What is the nearest to -0.1 in v, -5, -0.5?
-0.5
Let d be 0/4 - 2/1. Let g = 4 + d. Let s be (16/(-120))/(2/(-3)). Which is the closest to -2/5? (a) g (b) s (c) 5
b
Let x = -16/63 + 1/9. What is the nearest to 1 in -0.3, x, -2?
x
Let k be 4/(-8) + 18/4. Let d be 2/(-5) + (-3)/105. What is the closest to d in k, 0.2, 2/15?
2/15
Let z = 15 + -11. Which is the nearest to 1? (a) -3 (b) z (c) -2/11
c
Let a = -28.1 - -28. What is the nearest to a in 5, 0.3, -2/5?
-2/5
Let r be (-3)/36*(-1)/((-3)/8). Which is the nearest to -0.2? (a) 1 (b) r (c) 0
b
Let t = -1.1 + 0.9. Let k = 2.7 + 0.3. Let f = -1 + k. What is the nearest to 1 in f, 2/5, t?
2/5
Let f(q) = q - 2. Let u be f(3). Which is the nearest to u? (a) -2 (b) 0.03 (c) 3
b
Let x = -15.2 - -15. Let u = -2 + 6. Which is the nearest to -2? (a) x (b) u (c) -0.5
c
Let u be -4 + 3 + (1 - 0 - 3). Let w = -1 + 8. What is the closest to -0.1 in w, -2, u?
-2
Let z = -1.98 + -0.02. Let y be (2/(-20))/((-14)/35). Let r = 1094/7 + -156. Which is the nearest to y? (a) z (b) r (c) 0.5
b
Let i = -1/37 - -47/370. Let v = 3.03 + -0.03. Let o = v + -4. Which is the nearest to o? (a) 4 (b) i (c) 0.2
b
Let y = -99 + 109.4. Let n = y + -10. Let o = 3.8 + -4. What is the closest to -1 in -0.3, n, o?
-0.3
Suppose g + 4 + 5 = 2*v, -v + 3*g + 17 = 0. Let o = -0.102 - 12.598. Let h = 13 + o. What is the nearest to -0.4 in h, v, -2?
h
Let d be (-3 + 4)*1/(-2). Let u = d + 1. Which is the closest to u? (a) 3 (b) 0.5 (c) -5
b
Let r be -2*(-1)/(4/6). Let q be 10/25 - (-407)/(-5). Let v = q + 402/5. What is the closest to -1/3 in v, 2, r?
v
Suppose -4*m = -4*g, m - 5 = -2*g + 1. Which is the nearest to -1? (a) 3 (b) 1/10 (c) m
b
Let j = 89.9 - 91. Which is the nearest to 1/2? (a) j (b) -1/12 (c) -0.2
b
Let o = 131/4 + -32. Let i(v) = -v + 6. Let f = 20 - 13. Let d be i(f). Which is the closest to d? (a) -1 (b) -2/7 (c) o
a
Let j = 18 - 20. Let g = -0.1 - 0.1. Which is the nearest to g? (a) 0.3 (b) j (c) 2/23
c
Let o = 0.1 + 1.9. Let r be 8/(-126) - 4/(-14). Which is the closest to -1? (a) -1 (b) r (c) o
a
Let w be -1 - (1/3 + -1). Let n = 1 + -0.8. Let x = -2.6 + 1.6. Which is the nearest to x? (a) -5 (b) n (c) w
c
Let q be 2 + 1/(25/15 + -2). What is the nearest to 0.2 in 1, -5, q?
1
Suppose 0 = -4*o - 0*o. Let i(b) = -b**3 - 7*b**2 - 9*b + 9. Let s be i(-3). What is the nearest to s in -1/3, o, 4?
o
Let d = 7.1 + -7. Let l = d - -8.9. Let s = -9 + l. Which is the nearest to -2/7? (a) s (b) -4 (c) -1
a
Let r = -1/7 + -11/21. Which is the closest to r? (a) -2 (b) 2/5 (c) -12
b
Let v = -668.1 - -668. Let n be ((-3)/(-4))/(6/(-4)). Which is the nearest to v? (a) 0 (b) n (c) 2/13
a
Let z = -9.2 + 6.2. Which is the nearest to -2? (a) z (b) 2/7 (c) 0
a
Let a = -12 + 11.8. What is the closest to 1 in -0.3, a, -5?
a
Let z = 19 - 17. Suppose x = 2*x - z. What is the closest to 1 in x, 0.3, 4/5?
4/5
Let w = -14668047477/15665 + 4681789/5. Let h = -386562/241 - -1604. Let x = w + h. What is the nearest to 2 in x, 1/9, 5?
1/9
Let z = 1.2 - 1. Let u = 0.05 + -3.05. Let i = 133 + -137. What is the closest to u in -1, z, i?
i
Let y = 3 + -2.6. Let x = 6 - 5.6. Let g = x - 0.2. Which is the closest to g? (a) -4 (b) y (c) -2/7
b
Suppose -6*y + 4 = -2*y. What is the closest to -1/3 in 1/4, y, 3?
1/4
Let i = 1.2 - 1.7. Which is the nearest to 1? (a) 5 (b) -0.2 (c) i
b
Let a be (-2 + (-36)/(-15))*5/(-6). What is the nearest to a in -1/6, 0.2, 1/12?
-1/6
Let i = 0 + 0.2. Let u = 0 - i. Let l = -0.6 + 0.1. Which is the closest to -0.1? (a) u (b) 3/4 (c) l
a
Suppose 5*w - m = -13, 4*w - 3*w + m + 5 = 0. Let p(z) = z - 1. Let j be p(1). What is the closest to j in -0.2, -5, w?
-0.2
Let o = -411 + 398. Let k = -534/7 - -76. Which is the closest to -0.1? (a) o (b) 0.5 (c) k
c
Let k = 27/28 + -3/14. What is the closest to 0.8 in k, 1, 0?
k
Let z be (2/(6/(-9)))/(-1). Which is the closest to -0.1? (a) 15 (b) z (c) 4
b
Suppose p = 5*j + 1, -3*j + 6*j - 4*p + 4 = 0. Let w = j - 5. Let f = w - -5. Which is the nearest to f? (a) 0.3 (b) 0.1 (c) 1/4
b
Let k = -9 + 8. Which is the nearest to -1? (a) -2 (b) k (c) 2/5
b
Let q = -2/87 - 83/174. What is the closest to 0 in -5, q, 0?
0
Let o = -1.6 + 2. Let i = 0.6 + o. Which is the nearest to i? (a) 0.4 (b) -5 (c) 0
a
Let v = -0.18 + -0.02. Let q(u) = u**3 + u - 5. Let k be q(0). Let g be (-9)/(-15) - k/(-5). Which is the closest to v? (a) -5 (b) g (c) 3
b
Let p(n) = 1. Let g(f) = f**2 + 7*f + 1. Let z(h) = -g(h) - 6*p(h). Let w be z(-6). Let k = 0.3 + -0.1. What is the nearest to k in -4, w, 3?
w
Let v = -5 - 5. Let m = 9.9 + v. Which is the closest to 3? (a) m (b) 2/9 (c) -0.3
b
Let w = -0.31 + -0.19. Let i = 5.7 - 6. Let k = 0.3 - 0.5. Which is the closest to k? (a) w (b) i (c) 2/5
b
Let z = -46 - -52. What is the closest to 0.2 in z, -0.4, -3/5?
-0.4
Suppose -3*l + 3*p - 7 - 14 = 0, -5*l + 5 = 5*p. Suppose -10 = -2*n + 20. Suppose -1 = -4*g + 11, n = 2*w + 5*g. What is the nearest to -1/3 in w, 5, l?
w
Suppose -60 = 8*h + 7*h. What is the nearest to 2/7 in 2, 2/17, h?
2/17
Let m = -77 - -230/3. What is the nearest to 0.1 in m, -5, -3?
m
Let b = 0 - -0.55. Let x = -74.05 - -74. Let c = b + x. What is the nearest to -2 in c, -3/4, 0.4?
-3/4
Let n = -166 - -1164/7. Let g = -0.3 - 0.7. Which is the nearest to n? (a) g (b) 3/4 (c) 4
b
Let q = -0.08 - -0.26. Let y = -0.02 - q. What is the closest to -0.2 in -2/7, 0, y?
y
Let q = -9 + 10.9. Let o = q - 2. Let k = 0 + o. What is the closest to k in -0.3, 1, 1/4?
-0.3
Let j = -7.9 + 8.87. Let w = j + 0.03. What is the nearest to -2/7 in 4, w, -4/7?
-4/7
Let i = 8/7 - 17/21. Let l(y) = -y**3 + 3*y**2 + 3*y + 4. Let q be l(4). Let x be (-1)/8 + q/(-3). What is the nearest to i in x, -2, -1?
x
Suppose 3*k - 4*v = -9, v - 3*v + 9 = -3*k. Let c = -99 - -99.4. What is the nearest to 1 in c, 2, k?
c
Suppose 5*l - b + 37 = -2*b, 3*l = -4*b - 12. Let m = 20 + l. Let g = m - 7. What is the nearest to 1 in 4, g, 0.4?
0.4
Let o = -34 - -38. Let p = 7 - 7.3. Which is the nearest to -1/4? (a) o (b) 2 (c) p
c
Let s = -206 - -823/4. Let t = 0 + -1. What is the closest to 0 in s, t, 0.5?
s
Let k = -0.25 - -0.25. Which is the nearest to 1? (a) -10 (b) -3 (c) k
c
Let j = 75 - 149/2. What is the nearest to -1/3 in j, 9, -4?
j
Let m = -4 + 4.5. Let u(p) = p**3 - 2*p**2 - 3*p - 4. Let s be u(3). Which is the closest to 0.3? (a) s (b) m (c) 0
b
Let z = 31/6 - 35/6. Which is the nearest to z? (a) -0.1 (b) -2 (c) 2/9
a
Suppose 2*a + 4*x = 2*x + 2, 3*x = 9. Suppose 3*u - 4*n = -2, u + 5*n - 5 = 7. Let m be u*a/16*2. What is the nearest to m in 1/11, 4, 3?
1/11
Let n = -0.5 + 2.5. Let g be 2/(-4) - 8/16. Let d = -3 + 2.5. Which is the closest to -1? (a) d (b) g (c) n
b
Let n = 18 - 16. Which is the closest to 0.2? (a) 1 (b) 3/5 (c) n
b
Suppose -3*v - f = v + 38, v = f - 7. What is the nearest to -0.3 in -5, 3, v?
3
Let a be 16/(-2) - (-6 - (-3 + 0)). What is the nearest to 0.2 in a, -3, 1?
1
Let u = 0.014 + -1.014. Suppose 5*f - 5*d = -355, -f + 2*d + 2*d - 65 = 0. Let q = f + 439/6. Which is the closest to 1? (a) -4 (b) u (c) q
c
Suppose 2*u - 5 = 5*u + 2*i, 7 = -u + 2*i. Which is the nearest to -1/5? (a) u (b) 1 (c) 4
b
Let u = -0.96 - 0.04. What is the closest to u in -1/7, -0.05, 2/5?
-1/7
Let p
|
{
"pile_set_name": "DM Mathematics"
}
|
17*j(u).
u**2 + 6
Let l(h) = h**2 + 10*h - 59. Let y(b) = 3*b. Calculate -l(q) + 4*y(q).
-q**2 + 2*q + 59
Let k = -22064 + 22036. Let f(g) = -8*g - 14. Let s(c) = 14*c + 14. Let h(a) = -5*a - 5. Let w(q) = 11*h(q) + 4*s(q). Determine k*w(j) - 2*f(j).
-12*j
Let r be 2244/442 - ((-54)/(-26) - 2). Let u(x) = 3*x**2 - 14*x + 11. Let s(g) = 2*g**2 - 7*g + 6. Calculate r*s(o) - 3*u(o).
o**2 + 7*o - 3
Let a(s) = -3*s**2 + 2*s + 20. Let z(m) = 4*m**2 - 3*m - 28. Let x(u) = 7*a(u) + 5*z(u). Let n(q) = 43*q**3 + 3*q**2 + 3*q. Determine n(y) + 3*x(y).
43*y**3
Let v(c) = -155*c - 6. Let k(n) = -2*n + 2. What is 4*k(z) + v(z)?
-163*z + 2
Let d(x) = -4*x**3 - x**2 - 267*x - 3. Let g(p) = 10*p**3 + 2*p**2 + 534*p + 7. Give 7*d(k) + 3*g(k).
2*k**3 - k**2 - 267*k
Let u(d) = 15*d + 7. Let z(j) = 4*j**2 + 15*j - 41. Let n be z(-6). Let i(x) = 7*x + 3. Calculate n*i(q) - 6*u(q).
q - 3
Let g(s) = -13*s - 270. Let y(t) = -11*t - 225. Let q(n) = 5*g(n) - 6*y(n). Let l(j) = 3*j**2 + 6*j - 5. Determine l(f) - 6*q(f).
3*f**2 - 5
Let g(d) = 18*d**2 + 4*d. Let c(j) = 9*j**2 + 12*j + 3. Let t(v) = 21*v**2 + 21*v + 5. Let w(f) = -5*c(f) + 3*t(f). What is 3*g(s) - 4*w(s)?
-18*s**2
Let a(m) be the second derivative of -m**5/5 - m**4/3 + 2*m**2 - 736*m + 2. Let j(q) = -2*q**3 - 2*q**2 + 2. Calculate -6*a(y) + 13*j(y).
-2*y**3 - 2*y**2 + 2
Let y(r) = -193*r**3 - 2*r**2 - 16*r - 4. Let q(j) = 1159*j**3 + 13*j**2 + 108*j + 26. What is 2*q(d) + 13*y(d)?
-191*d**3 + 8*d
Let z(y) = -7*y**2 + 0*y**3 + y**3 - 39 - 7*y + 25. Let g be z(8). Let w(l) = 43*l**2 - 20*l**2 - 22*l**2. Let u(m) = 4*m**2 + 1. Give g*w(j) + u(j).
-2*j**2 + 1
Let d(w) = 36*w**3 + 6*w**2 - 12*w + 2. Let r(i) = 109*i**3 + 17*i**2 - 34*i + 9. Calculate -17*d(m) + 6*r(m).
42*m**3 + 20
Let r(x) = -161*x**3 - 2*x - x**2 + 314*x**3 - 3 - 157*x**3 + x**2. Let l(y) = -19*y**3 - 10*y - 16. Calculate 2*l(d) - 11*r(d).
6*d**3 + 2*d + 1
Let i(x) be the second derivative of 0 - 7/20*x**5 + 0*x**3 - 3/2*x**2 + 118*x - 1/4*x**4. Let a(v) = 15*v**3 + 5*v**2 + 5. Calculate -3*a(j) - 5*i(j).
-10*j**3
Let a(s) = -27*s. Suppose -5*d - x - 3*x = -21, -d + 5*x = 19. Let j(q) be the second derivative of q**3/6 + 5*q. Calculate d*a(n) + 36*j(n).
9*n
Let k(y) = -3. Let m(d) = 46 + 31 + 28 - 86. Let x(r) = -6*k(r) - m(r). Let w(t) = -2*t**2 - 10. What is -w(n) + 10*x(n)?
2*n**2
Let o(c) = -c**3 + c**2 + c - 1. Let j = -2884 + 2878. Let s(q) = 4*q**3 - 3*q**2 - 3*q + 2. What is j*o(x) - 2*s(x)?
-2*x**3 + 2
Let n(u) = 38*u + 1. Let q(f) = 29*f + 1. Let d(x) = 3*n(x) - 4*q(x). Let z(i) = -7 + 2*i - 7 - 6 + 21. What is -4*d(h) - 5*z(h)?
-2*h - 1
Let z(u) = 22417060*u**3 - 50134*u**2 - 25067*u - 100268. Let n(f) = 3577*f**3 - 8*f**2 - 4*f - 16. Calculate -25067*n(b) + 4*z(b).
3581*b**3
Let c(s) = -7*s**2 + 8*s + 5. Let f(m) = 6*m**2 - 8*m - 4. Let k(l) = l**3 + 66*l**2 + 74*l + 591. Let j be k(-65). Calculate j*f(n) + 5*c(n).
n**2 - 8*n + 1
Let w(c) = c - 1. Let v(p) = 2*p**2 + 3*p + 4. Suppose -g - 3 + 6 = -i, -33 = 3*g + 4*i. Calculate g*w(k) + v(k).
2*k**2 + 7
Let t(r) be the first derivative of -13 - 1/2*r**2 - 3*r. Let o(s) = 6 - 11 - 5 - 6 - 6*s. What is -2*o(i) + 11*t(i)?
i - 1
Let y(q) = -3*q**2 + 10*q + 106. Let f(l) = -l**2 + 4*l + 36. Determine -11*f(z) + 4*y(z).
-z**2 - 4*z + 28
Let p(u) be the third derivative of u**6/60 - u**5/12 - u**4/6 - u**3/2 + 1223*u**2. Let o(h) = 5*h**3 - 11*h**2 - 8*h - 7. What is -3*o(z) + 7*p(z)?
-z**3 - 2*z**2 - 4*z
Let z be (8 - 14) + (-2 + 4)/2 - -6. Let t(m) = -7*m**2 + 3*m. Let p(i) = i**2 - i. Calculate z*t(x) + 6*p(x).
-x**2 - 3*x
Let h(x) = -13*x + 17. Let a(m) = -16*m - 2. Let j(w) = -18*w - 4. Let k(q) = 6*a(q) - 5*j(q). Determine 3*h(n) - 7*k(n).
3*n - 5
Suppose -3 = -3*k + 2*j, 3*j - 2 = -23*k + 21*k. Let i(f) = f + 1. Let a(b) = -2*b - 4. What is k*a(n) + 5*i(n)?
3*n + 1
Let l(s) = 2*s - 7. Let t(y) = 13*y - 2088. Calculate 6*l(g) - t(g).
-g + 2046
Let d(k) = 7*k**3 + 2*k**2 + 5*k + 5. Let r(n) = -8*n**3 - n**2 - 6*n - 6. Suppose -112 = -20*b + 118 - 350. Calculate b*d(c) - 5*r(c).
-2*c**3 - 7*c**2
Let s(z) = -z - 7. Let p be s(-8). Let c(m) = 3*m - 1. Let v = -492 + 493. Let x(o) = o - 1. Determine p*x(b) + v*c(b).
4*b - 2
Let f(o) = 6*o**2 - 3. Let d = -4223 - -4222. Let w = 21 + -16. Let c(q) = q**2 - 1. Give d*f(m) + w*c(m).
-m**2 - 2
Let k(g) = 5*g**2 + g - 1. Let x(q) = 106*q**2 + 17*q - 4. What is 6*k(d) - x(d)?
-76*d**2 - 11*d - 2
Let k(a) = 1128*a**2 - 2101*a**2 + 986*a**2 - 9. Let u = -6 + 4. Let d(z) = -z**2 + 1. Determine u*k(w) - 18*d(w).
-8*w**2
Let c(p) = -2*p + p - 1 - 4706*p**2 + 9418*p**2 - 4711*p**2. Let k(n) = -5*n**2 + 6*n + 1. Determine 6*c(x) + k(x).
x**2 - 5
Let q(w) = w**3 - 5*w**2 - 6*w - 2. Suppose 2*j - 2*p = 24, 2*j + 3550*p = 3551*p + 16. Let b(c) = 2*c**3 - 11*c**2 - 13*c - 4. What is j*b(l) - 9*q(l)?
-l**3 + l**2 + 2*l + 2
Let m(w) = 10526*w + 91. Let u(p) = 3510*p + 33. What is 4*m(o) - 11*u(o)?
3494*o + 1
Let o be ((-3)/(-4))/(5/(-40)). Let l(k) = 5*k**2 - 4. Let y(q) = 89 - 165 + 4*q**2 + 73. Determine o*y(p) + 5*l(p).
p**2 - 2
Suppose 19*a - 25 = 14*a. Let d(y) = 0 - 2 - 5 + a + 5*y + 4. Let q(v) = -9*v - 5. What is -5*d(m) - 2*q(m)?
-7*m
Let r(y) = -2*y. Let k(s) = -s. Let h be (20 - (0 - -13))/(84/(-60)). Let o = 35 - 23. Let v = o + -6. Determine h*r(c) + v*k(c).
4*c
Suppose 4*h - 29 = 5*i, -2*i - 4*h + 832 = 810. Let q(f) = -f**2 + f. Let d(m) = 18*m**2 - 5*m. Determine i*d(b) - 5*q(b).
-13*b**2
Let j(m) be the third derivative of m**4/8 - 8*m**3/3 - m**2 + 340*m. Let t(k) = -9 + 3 - 5 + 2*k. Determine 5*j(b) - 7*t(b).
b - 3
Let t(l) = 8*l**2 - 6*l + 9. Let b(w) = 3*w**2 + 21*w + 5. Let j(m) = -2*m**2 - 13*m - 3. Let x(i) = -5*b(i) - 8*j(i). What is -t(g) + 6*x(g)?
-2*g**2 - 15
Let w(j) = 51*j + 2553. Let m(s) = 14*s + 729. Determine 18*m(n) - 5*w(n).
-3*n + 357
Let x(l) = 5*l**3 - 3*l**2 + 2. Suppose -2*n - 3*q = -6, -19*n = -22*n - q + 9. Let m(z) = z**3 - z**2 - z + 1. Suppose -9 = 6*f - 3. Determine f*x(r) + n*m(r).
-2*r**3 - 3*r + 1
Let k(x) = 8 - 105*x**2 + 14*x + 11*x - 8 - 10*x. Let i(y) = 26*y**2 - 4*y. Determine -15*i(p) - 4*k(p).
30*p**2
Let x(i) be the first derivative of i**4/4 - 6629. Let s(w) = -4*w**3 + w**2 - 2*w - 5. Calculate s(d) + 3*x(d).
-d**3 + d**2 - 2*d - 5
Let j(f) = -38*f + 34. Let p(a) = -113*a + 96. Determine -8*j(h) + 3*p(h).
-35*h + 16
Let b be 4/(-6) - (-32)/(-6). Let y(q) = -3*q**2 + 0*q**2 - 3 - 5*q**3 - 7*q**3 + 7*q**3 + 6. Let j(w) = -w**3 - w**2 + 1. Calculate b*j(a) + 2*y(a).
-4*a**3
Let i(f) = -297*f + 3. Let g(u) = 294*u - 2. Calculate 5*g(q) + 4*i(q).
282*q + 2
Let u(h) = 1768219*h**3 + h - 6*h - 1768195*h**3 - 5*h**2. Let j(y) = 23*y**3 - 4*y**2 - 4*y. Calculate 5*j(a) - 4*u(a).
19*a**3
Let k(t) = 6*t + 26 - 8 - 16 - 5. Let a(g) be the third derivative of -g**2 - 5/6*g**3 + 11/24*g**4 + 0*g + 0. Give -3*a(d) + 5*k(d).
-3*d
Let i(s) = 10*s**3 + 16*s**2 + 3*s + 9. Let w(y) = 10*y**3 + 18*y**2 + 2*y + 8. Determine -3*i(g) + 4*w(g).
10*g**3 + 24*g**2 - g + 5
Let l(o) = 58*o + 2507. Let a(k) = -49*k - 2505. Give 6*a(x) + 5*l(x).
-4*x - 2495
Let n be ((-10)/(-4))/((-1)/2). Let q(u) = -6*u**2 + 28*u + 4. Let f(x) = 7*x**2 - 29*x - 5. Determine n*q(j) - 4*f(j).
2*j**2 - 24*j
Let o(r) = 9*r. Let a(f) = 5*f - 3. Let v(t) = 9*t + 3. Let d(j) = 2*a(j) + 2*v(j). Determine 2*d(n) - 7*o(n).
-7*n
Let f(l) = l**2 + l + 1. Let o(b) be the third derivative of b**5/10 - b**4/12 + 5*b**3/6 + 7*b**2 + 37*b. Calculate 4*f(r) - o(r).
-2*r**2 + 6*r - 1
Let s(b) = 4194*b**2 + 3728*b + 3728. Let i(d) = 2*d**2 + 2*d + 2. What is -9320*i(k) + 5*s(k)?
2330*k**2
Let l(q) be the second derivative of 3*q**3 + 252*q. Let u(w) = -73*w. Determine 18*l(a) + 4*u(a).
32*a
Let f(s) = -38*s + 39. Let j(y) = -40*y + 31. Give -5*f(b) + 4*j(b).
30*b - 71
Let d(f) = 6*f + 1. Let h(c) = -2950*c - 177. Calculate 177*d(s) + h(s).
-1888*s
Let b(o) = -14*o**2 - 5*o + 10. Let k(s) = 61*s**2 + 21*s - 42. Let d(p) = -13*b(p) - 3*k(p). Let a(z) = 3*z**2 - 5*z + 9. What is -2*a(x) - 5*d(x)?
-x**2 + 2
Let k(m) = 44*m - 2. Let i(l) = -31*l + 31*l - 3 + 0 + 4 + l. What is -2*i(w) - k(w)?
-46*w
Suppose -8 - 8 = -2*o. Let a(w) = -6*w**2 + 0 + o - 1. Let t(h) = -h**2 + 1. Let k be (15/5)/3*-1. Determine k*a(n) + 5*t(n).
n**2 - 2
Let b(t) = 4930*t**2 - 319*t. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
f -8*t**4 - 4*t**4 + 6*t**2 - t**4 + v*t**4 wrt t?
-168*t
Let k(q) be the second derivative of 0 + 2*q + 0*q**2 - 1/3*q**3 + 3/20*q**5 + 0*q**4. Find the second derivative of k(l) wrt l.
18*l
Let o be (16/1)/(-5 + 6). Let c be 18/8 - 4/o. Find the second derivative of -k + k + k + k**c wrt k.
2
Suppose 0 = w - 6*k + k - 2, -4*w + 2*k - 28 = 0. Let c = w + 11. What is the derivative of -3*u**4 + u**4 - 5 + c wrt u?
-8*u**3
Let k(t) be the second derivative of -t + 0*t**2 - 1/3*t**3 + 0 - 1/4*t**4. Find the second derivative of k(n) wrt n.
-6
Find the second derivative of 47*f + 125*f**2 - 5*f**3 - 126*f**2 + 7*f**3 wrt f.
12*f - 2
Let d(n) be the second derivative of 7*n**5/10 - 11*n**2/2 + 13*n. Differentiate d(f) wrt f.
42*f**2
Let s(n) = 6*n. Let w(c) = c + 1. Suppose -1 = g + 3. Let d(z) = g*w(z) + s(z). Differentiate d(a) wrt a.
2
Let o(w) be the first derivative of w**5/15 - w**4/12 + 3*w**2/2 - 2. Let n(t) be the second derivative of o(t). Find the second derivative of n(r) wrt r.
8
Suppose 2*p - p = 4*g - 151, -4*p = g - 59. Let x = -28 + g. What is the second derivative of -11 + 2*m**2 + m + x wrt m?
4
Let p(v) be the second derivative of 0 - 2*v + 1/3*v**3 + 1/2*v**2. Differentiate p(w) wrt w.
2
Let k(y) = 2*y**2 - 8*y + 8. Let i be k(4). Find the second derivative of -5*h + i*h**3 + 4*h - 3*h wrt h.
48*h
What is the second derivative of 1483 + 45*o**4 - 1483 - 7*o - 24*o wrt o?
540*o**2
Find the third derivative of -7*f**2 + 5*f**4 + 9*f**4 - 36*f**2 - 7*f**4 wrt f.
168*f
Let v(c) = -5 + 14 - c + 1. Let j be v(8). Find the second derivative of -2*i**2 + i - j*i - i**2 wrt i.
-6
Let z(c) = c + 10. Let t be z(-6). Let g(v) be the first derivative of 0*v**3 - 1/2*v**t + 0*v**2 - v - 1. What is the derivative of g(j) wrt j?
-6*j**2
Suppose 2*l - 18 = -2*j - 0*l, 5*j - 4*l = 0. Suppose z + 3*z = 16. Differentiate z - j + 2*v**2 + 2*v**2 - 2 wrt v.
8*v
Let s(g) be the second derivative of -g**2 - 1/15*g**6 + 0*g**3 + 0*g**5 - 2*g + 0 + 0*g**4. Differentiate s(i) wrt i.
-8*i**3
Let i(m) = m**2 + 1. Let f be i(-2). Find the second derivative of 9*t - 6 + 6 + 0*t**5 - 5*t**f wrt t.
-100*t**3
Let a(j) be the second derivative of -11*j**4/6 + 11*j**3/6 + 27*j. Find the second derivative of a(r) wrt r.
-44
Let p(g) be the second derivative of -8*g**5/5 + g**4/12 - 7*g**3/2 - 67*g. What is the second derivative of p(w) wrt w?
-192*w + 2
Let a(x) be the third derivative of -3*x**7/70 - x**4/6 - 3*x**2. What is the second derivative of a(g) wrt g?
-108*g**2
Let c(p) be the third derivative of -p**7/210 + p**3/2 - 2*p**2. What is the first derivative of c(w) wrt w?
-4*w**3
Let q = -45 - -47. Let w(a) be the second derivative of 3/20*a**5 + 0*a**2 + 0 + 0*a**4 - q*a - 1/6*a**3. Find the second derivative of w(s) wrt s.
18*s
What is the first derivative of 3*z**2 - 2*z**2 + 2 + 2 wrt z?
2*z
Let a(l) be the first derivative of l**10/5040 + l**6/180 - 4*l**3/3 + 4. Let x(f) be the third derivative of a(f). Find the third derivative of x(v) wrt v.
120*v**3
Let x(n) be the second derivative of 5*n**7/14 - n**3/6 + 2*n. Find the second derivative of x(z) wrt z.
300*z**3
Find the third derivative of 8*r**2 + 5*r**6 + 0*r**6 + 0*r**6 wrt r.
600*r**3
Differentiate -13 + 2*j**3 - 64*j + 64*j wrt j.
6*j**2
Let h be (3 - 3) + (2 - 1). Find the first derivative of -3*d + h + 3*d + d wrt d.
1
Suppose 2*w + 3*w - 10 = 0. What is the third derivative of -l**6 + 3*l**w - 5*l**2 + 2*l**3 - 2*l**3 wrt l?
-120*l**3
Let l = -7 + 11. Find the third derivative of d**2 - 7*d**l + 8*d**4 - 2*d**2 wrt d.
24*d
Let r(z) = -8*z**2 - 8*z. Let k(l) = -105*l**2 - 105*l. Let j(h) = 3*k(h) - 40*r(h). What is the second derivative of j(v) wrt v?
10
Let n(t) be the second derivative of -3*t**5/20 - 7*t**3/6 + t. What is the second derivative of n(j) wrt j?
-18*j
Suppose 5*o - 3*o - 12 = 0. Suppose -o = u - 2*u. What is the third derivative of u*w**3 - w**3 - 2*w**2 - 9*w**3 wrt w?
-24
Suppose -6*z - 6 + 18 = 0. Suppose 2*f = 5*y - 11, 4*y = -y + 15. What is the second derivative of 2*t**z - 2*t - t**2 + 0*t**f wrt t?
2
Let b(u) be the second derivative of -17*u**4/4 - 53*u**2/2 + 3*u + 14. What is the derivative of b(n) wrt n?
-102*n
Find the third derivative of -49 + 6 + 9*v**2 + 5 - 6*v**5 - 10*v**2 wrt v.
-360*v**2
Let k(r) = -r**3 - r**2 - r + 1. Let z(y) = -23*y**5 - 3*y**3 - 3*y**2 + 6*y + 3. Let x(m) = 3*k(m) - z(m). Find the second derivative of x(n) wrt n.
460*n**3
Let v(i) = -24*i**3 - 13*i**2 + 5*i - 5. Let u(h) = -12*h**3 - 6*h**2 + 2*h - 2. Let f(g) = 5*u(g) - 2*v(g). What is the third derivative of f(q) wrt q?
-72
Let q(b) be the third derivative of b**9/756 + b**6/90 + b**3 - 5*b**2. Let t(i) be the first derivative of q(i). What is the third derivative of t(s) wrt s?
240*s**2
Let m(k) be the first derivative of 20*k**3/3 - 14*k**2 - 35. Find the second derivative of m(z) wrt z.
40
Let q(w) be the third derivative of w**6/20 + 5*w**3/6 + w**2. Differentiate q(s) with respect to s.
18*s**2
Let b(k) be the first derivative of -2*k**5/5 - 11*k**4/2 + 3*k**2 - 3*k + 48. What is the second derivative of b(j) wrt j?
-24*j**2 - 132*j
Let x(h) = -12*h**3 - 3*h**2 + 7. Let u(g) = 23*g**3 + 5*g**2 - 14. Let f(y) = 3*u(y) + 5*x(y). Differentiate f(r) with respect to r.
27*r**2
Let k(i) be the first derivative of -3*i**5/5 - 3*i - 6. Find the first derivative of k(n) wrt n.
-12*n**3
Let f(p) = 6*p**2. Let r(b) = -b**2 - b. Let o(x) = -f(x) + 12*r(x). What is the second derivative of o(w) wrt w?
-36
Find the second derivative of -19*k**2 + 19*k**2 - 3*k**4 + 2*k**4 - 7*k wrt k.
-12*k**2
Let d(h) = 5*h**2 - 9. Let w(z) = 5 + 16*z - 3*z**2 - 16*z + 0. Let r(u) = -2*d(u) - 5*w(u). What is the first derivative of r(q) wrt q?
10*q
Suppose 0 = u + 2*u - 15. Suppose 3*k - 9 = 0, -u*z = -3*k - 2 + 11. What is the third derivative of z*i**6 - i**2 + 4*i**6 - 3*i**6 wrt i?
120*i**3
Let m(t) = t**6 + t**3 - t**2 + t + 1. Let q(w) = -3*w**6 - 4*w**3 + 17*w**2 - 4*w - 4. Let g(r) = 4*m(r) + q(r). What is the third derivative of g(z) wrt z?
120*z**3
Suppose -13 = -4*m + 3. What is the third derivative of -2*z**m + 0*z + 0*z - 3*z**2 + 4*z**2 wrt z?
-48*z
Let q(m) be the second derivative of m**4/6 + 11*m**3/6 + 17*m. Find the second derivative of q(a) wrt a.
4
Let r(k) be the third derivative of -k**5/15 + k**4/8 - 2*k**2. What is the second derivative of r(s) wrt s?
-8
What is the second derivative of 24*n - 33*n**5 - 4030 + 4030 wrt n?
-660*n**3
Let z(o) be the first derivative of 4*o - 4*o - 3*o - 2*o**2 + 9*o + 1. Differentiate z(g) wrt g.
-4
Let l(a) be the third derivative of 0 - 1/60*a**6 + 0*a**4 + 0*a**3 + 0*a - 1/30*a**5 - 3*a**2. What is the third derivative of l(v) wrt v?
-12
Let r be ((-18)/(-12))/(3/4). What is the second derivative of 3*s + 11*s**2 - 7*s**r + 5*s wrt s?
8
Let v(u) be the first derivative of -u**5/10 + u**3/6 - u**2 - 3. Let l(b) be the second derivative of v(b). Differentiate l(t) with respect to t.
-12*t
Let k be -28*((-6)/(-4))/(-3). Suppose 0 = 4*c - 3*y - k, -4*y + 1 = 9. Find the third derivative of 3*m**2 - m**5 - 2*m**2 + 2*m**c + 2*m**5 wrt m.
60*m**2
Suppose 0*o - o + 7 = -p, 3*p = -15. Suppose u + 4 = o*u. Find the second derivative of -i - 2*i + 5*i + i**u + 2*i**4 wrt i.
36*i**2
Let h = 24 - 13. Let k = h + -8. Find the second derivative of -k*p + 2*p**2 + 0*p + 5*p wrt p.
4
What is the third derivative of -174 + 174 - 26*y**5 + 36*y**2 wrt y?
-1560*y**2
Let i(k) be the first derivative of -k**6/24 - k**5/30 - 3*k**2/2 - 2. Let t(w) be the second derivative of i(w). Find the third derivative of t(n) wrt n.
-30
What is the third derivative of -x**2 + x**2 - 5*x**5 + 4*x**2 wrt x?
-300*x**2
Suppose 5*c = -z + 12, -2*z - 3*z = -c - 8. Find the first derivative of 5 + z + u**2 + 6*u**2 wrt u.
14*u
Let j = 53 + -47. Let o(x) be the second derivative of -1/10*x**j + 0*x**3 + 1/2*x**2 - 2*x + 0*x**4 + 0*x**5 + 0. Differentiate o(r) wrt r.
-12*r**3
Find the second derivative of -23*t - 711*t**2 + 711*t**2 - 8*t**5 wrt t.
-160*t**3
Suppose -1 = -2*k + 2*j - j, -3*k + 5*j - 9 = 0. Let c(r) be the first derivative of -2*r - k*r**2 - 1 + r**2 + 0. Differentiate c(x) wrt x.
-2
Let c = -29 + 32. Let j(f) be the second derivative of -3*f + 1/12*f**4 + 0 + 1/30*f**
|
{
"pile_set_name": "DM Mathematics"
}
|
-0*u. Let l = u - 63. Is l a composite number?
True
Suppose -4*x + 0*o - 33 = -5*o, -18 = -x - 4*o. Let t(s) = -s - 1. Let q be t(x). Is (-2)/(4/(-110))*q prime?
False
Suppose 0*h = -h + 382. Is h a prime number?
False
Let k be 6 + (-3 + 1)*1. Suppose 20 = k*x - 8. Is x a prime number?
True
Let y = 3 + -1. Let u be (-2 + (-1)/(-1))/1. Is (-2 + y - 31)*u composite?
False
Let p be 5/2 + (-2)/(-4). Let c(d) = 21*d**2 - 9*d + 10. Let b(l) = -14*l**2 + 6*l - 7. Let t(u) = 7*b(u) + 5*c(u). Is t(p) prime?
False
Let z = 14 - 9. Suppose -u = -z*u + 812. Is u a composite number?
True
Let u(h) = h**2 - 10*h - 1. Let m be u(9). Let i = 16 + m. Is i a composite number?
True
Let v = 2 + 4. Let u(h) = h**3 - 6*h**2 - h + 5. Let c be u(v). Is c - -36 - (-3 - -5) a prime number?
False
Let u = 5067 + -3500. Is u composite?
False
Let c = 1546 - 395. Is c a composite number?
False
Let u(m) = -m**3 - 3*m**2 + 4. Let s be u(-3). Suppose 0 = -4*v - 5*o + 56, s*o - 19 = -4*v + 37. Suppose -l = -v - 35. Is l prime?
False
Suppose 0 = 5*y - 245 + 95. Let p = 1 + y. Is p a composite number?
False
Let n = 20 + -20. Is 744 - -1 - n/(-1) a composite number?
True
Suppose 0 = -3*d + 62 - 20. Suppose a + 6 + d = 0. Is (-15)/a*(0 - -76) composite?
True
Suppose 3*p - 1388 - 6967 = 0. Is p composite?
True
Let d = -4 - -1. Let u = d - 1. Is (-3 + (-10)/u)*-44 composite?
True
Suppose 7*f - 4933 = 3124. Is f a composite number?
False
Let k(q) = 4*q**2 - q + 6. Let s(x) = -7*x**2 + x - 12. Let j(a) = -5*k(a) - 3*s(a). Is j(-4) a prime number?
False
Let y = 2441 + -1421. Suppose 4*o - 8*o + y = 0. Suppose -c + o = 2*c. Is c a prime number?
False
Let h(y) = 115*y**2 + y + 6. Let x(i) = 116*i**2 + i + 7. Let s(d) = 7*h(d) - 6*x(d). Let p be s(1). Let m = p - 57. Is m a prime number?
True
Let d(t) = -10*t**2 + 3 - 10 + 6*t**2 - t**3 - t + 2*t**3. Let y be (3 - -2)*(0 - -1). Is d(y) prime?
True
Suppose -4*d + 63890 = -3*r, 0 = 5*d - 0*d + r - 79853. Is d composite?
False
Suppose 2*w + 35 = 4*i - w, 2*w = 5*i - 35. Suppose -i*g + 11 = 1. Suppose -3*x - m = -461, 2*x = -g*x + 2*m + 628. Is x a composite number?
True
Suppose -3*m + 13 = -17. Is ((-174)/(-4))/(m/20) a prime number?
False
Suppose -17*p = -21*p + 3028. Is p a composite number?
False
Suppose -d - 1 = -3. Suppose 4*a = d*s + 4 + 14, 2*a = -s - 9. Is (-136)/(-3) - 6/s a composite number?
True
Let u(c) = -141*c + 2. Is u(-7) a prime number?
False
Let b be 190/(-25) + (-2)/5. Is 2/b + (-845)/(-4) a prime number?
True
Let d = 114 - 35. Is d composite?
False
Suppose -t + 4*a = -495, -t - 494 = -2*t + 5*a. Is t composite?
False
Is (-2657)/(-1) + 2 + 0 prime?
True
Suppose 20 - 5 = -5*k + 5*q, -2*k - 3*q + 9 = 0. Suppose k = 3*h - 5 - 1. Suppose 249 = h*m + m. Is m prime?
True
Let x = -145 + 241. Let v = 183 - x. Is v a prime number?
False
Suppose -3*d = -4*n + d + 48, 3*n + 4*d = 1. Is n prime?
True
Suppose b + 3*b = 8708. Is b composite?
True
Suppose 5*r + 3*l = -1057, 0 = -0*r - 5*r + 3*l - 1063. Is ((-6)/12)/(2/r) a prime number?
True
Suppose j - 4*d = 62, d = -j + 2*d + 71. Is j prime?
False
Let h = -124 + 255. Is h composite?
False
Let o(x) = 9*x - 7. Is o(10) prime?
True
Is (-1)/(-2*1/110) a composite number?
True
Let b be (-264)/(-9)*9/6. Let w = b - 21. Let u = -16 + w. Is u prime?
True
Let i(g) = -18*g - 1. Let n(r) = -4 + 2*r - 55*r + 0*r. Let j(o) = 17*i(o) - 6*n(o). Is j(6) a composite number?
False
Let f(x) = x**2 + 8*x + 5. Let g be f(-5). Let l be (-4)/g + 2/(-5). Let n(b) = b**2 + b + 14. Is n(l) a prime number?
False
Suppose 0 = -q - 3*q. Suppose -2*b = -f - 5*b + 24, -f - 2*b + 19 = q. Is 40/18 + (-2)/f prime?
True
Let v(w) = 2*w + 3*w**2 + 3*w**2 - 5*w**2 + 1 - 3*w**2. Let y be v(-5). Let g = 148 + y. Is g a prime number?
True
Let n(q) = q - 7. Let t be n(0). Let i(u) = -21*u - 4. Is i(t) a composite number?
True
Let v = 0 - -4. Let c(i) = 7*i - 2. Let y be c(2). Suppose -y = s - v*s. Is s prime?
False
Is (-1)/(-2) - (-2 + (-1491)/6) a prime number?
True
Let h = 423 - 145. Let j = h + 15. Is j a composite number?
False
Let k(v) be the third derivative of v**5/20 + v**4/24 + v**3/6 - 7*v**2. Let l be 3/((18/(-4))/(-3)). Is k(l) a prime number?
False
Let t = 69 + -38. Is t a prime number?
True
Let f(r) = 70*r - 5. Let y(b) = -35*b + 3. Let m(x) = -3*f(x) - 5*y(x). Suppose -z + 2*z = 2*p + 5, -3*p = -z + 8. Is m(z) composite?
True
Suppose 25 = g - 6*g. Let i = g + 6. Is -1*(0/i + -37) prime?
True
Let m(k) = -13*k - 1. Let t be m(5). Let p = t - -103. Is p a composite number?
False
Let r(y) = 2*y**2 + y + 11. Let b(w) = -3*w + 21. Let h be b(9). Is r(h) composite?
True
Suppose -l = -68 + 8. Let b = l + -26. Is b a prime number?
False
Suppose -2*q = -2*t + 3*q + 60, -q - 44 = -2*t. Let d = t - 7. Is d a composite number?
False
Let z(o) = o**2 - 2*o - 10. Let l = 127 - 91. Let k be 6/(-30) - l/(-5). Is z(k) a prime number?
False
Suppose 10*p = 7*p + 5703. Is p a composite number?
False
Suppose 30 = -2*v - 3*v. Let l = 11 - v. Suppose 76 = 3*h - l. Is h prime?
True
Let n(d) = -122*d + 3. Is n(-2) a prime number?
False
Suppose -b + 4*l = -1, -4*b + 5*l = b - 5. Is (-1 - (b - 0)) + 337 a prime number?
False
Let p(c) = 8*c - 1. Let r(n) = -n**2 + 7*n + 9. Let o be r(7). Is p(o) composite?
False
Suppose -4*t + 4 = -3*t. Suppose -386 = 4*p + p + t*q, -160 = 2*p - 4*q. Let n = 4 - p. Is n a prime number?
False
Suppose 267 = -4*q - 53. Let w = q + 114. Is w a prime number?
False
Suppose -5*y - 4*m = -49 + 13, -2*m + 24 = 4*y. Let v(b) = -b**3 + 3*b**2 + 4*b + 3. Let f be v(y). Is 16 + 2/(-3)*f a prime number?
False
Let v(t) = 4*t**2 + t. Let x be v(-1). Suppose -136 = b + x*b. Is -1*(-2 + 3) - b a prime number?
False
Suppose -41 = -2*z + 5*p, 0 = 5*z + 3*p - 8 - 17. Suppose -z*x = -3*x + j - 119, 0 = x + 5*j - 43. Is x prime?
True
Let y be 0 + (-1 - -4) + 0. Suppose y*d + 754 = 5*a, -4*a - 4*d = -d - 587. Is a a composite number?
False
Suppose 5*b - 34 - 301 = 3*w, -5*b - 3*w + 335 = 0. Is b prime?
True
Is ((-159)/6)/(2/(-4)) prime?
True
Suppose 0 = -2*f - 15 - 19. Let x = f - -26. Is x a composite number?
True
Suppose -4*d = 2*i - 1066, 3*i + 3 = -0*i. Is d composite?
True
Let f = -3 - -19. Let i be 42/5*(4 - -1). Let m = i - f. Is m a composite number?
True
Let c be (-15 - (0 + 0))*-5. Let p = -38 + c. Suppose -p = -z + 2*d, 4*d - 13 - 54 = -z. Is z prime?
True
Let x(t) = 2*t**2 - 3*t. Let w be x(2). Suppose n = -3*r - w, n + 4*n + 22 = -3*r. Is 0 + -2 + r*55 a composite number?
False
Let b(g) = g**2 - 2*g + 5. Let h be b(5). Is h + 2/(8/4) a composite number?
True
Suppose -2*p - 18 = -0*p + 4*r, 5*r = 0. Let y = -2 - p. Suppose -4*g = -4*t + 160, 3*g - 12 = y*g. Is t a composite number?
False
Let v = 118 - 46. Let x = -13 - 33. Let i = x + v. Is i prime?
False
Let q(j) = 44*j + 53. Is q(9) a prime number?
True
Let f(s) = 49*s + 4. Is f(13) a composite number?
False
Let d(n) be the first derivative of -5*n**3/3 - 3*n**2/2 + 47*n - 3. Let i(m) = -4*m**2 - 2*m + 47. Let l(j) = -3*d(j) + 4*i(j). Is l(0) a composite number?
False
Let a = -4 - -6. Let w(l) = a*l - 7 - 3*l - 5*l. Is w(-7) prime?
False
Let z be 12*1*1/4. Suppose z*c - 97 = 14. Is c a prime number?
True
Suppose -7*g + 3*z = -2*g - 21, 3*g + 5*z - 33 = 0. Let f = g - -4. Is f prime?
False
Let o(i) = i**3 + 10*i**2 + 7*i + 4. Is o(-6) a composite number?
True
Let b(f) = -f**3 - 2*f**2 - 2*f. Let l(n) = -n**2 + 3*n + 7. Let o be l(5). Is b(o) prime?
False
Suppose -7769 - 6915 = -4*q. Is q prime?
True
Let m = 236 + -417. Let o = m - -440. Is o a prime number?
False
Let j(b) = -b**2 + 4*b + 1. Let d be j(4). Let h be -2 + (d - (-1 + -3)). Suppose 89 = h*n - 2*n. Is n a prime number?
True
Suppose 3*c + 3 = 12. Suppose 5*a = -c*d - 2*d - 10, -3*a = d + 12. Let m(o) = 13*o - 2. Is m(d) prime?
True
Suppose -10 = -4*b + 10. Suppose 2*a - 3*u = 316, -4*a = -b*u - 751 + 119. Is a prime?
False
Let y = -378 + 641. Is y a prime number?
True
Let t = -1518 - -2435. Is t composite?
True
Suppose -3*p = -5*v - 31, 5*p - 2 + 1 = 2*v. Let g be ((-145)/(-2))/((-4)/v). Suppose 0 = -2*d - 3*j + g, -d - 4*d - 3*j + 340 = 0. Is d composite?
True
Is ((-376)/16)/(2/(-28)) a prime number?
False
Let b be ((-7220)/30)/(2/(-3)). Suppose -4*p + b = -235. Is p a prime number?
True
Is ((-9436)/(-84))
|
{
"pile_set_name": "DM Mathematics"
}
|
the hundreds digit of l?
2
Let i be (-85)/(-15) + -6 - (-272)/6. Suppose -3*f + 6 + 24 = w, -i = -4*f - 3*w. What is the units digit of f?
9
Let b = 103 - 119. Let x = 242 + b. What is the hundreds digit of x?
2
Let h = -2289 - -3243. What is the units digit of h?
4
Let c be 44/(-33)*6/(-4). Suppose -2*k = 5*g + 14, 4*g = c*k - 0*k - 22. What is the units digit of (-13)/(-4) - k/(-4)?
4
Let y = -12441 + 18391. What is the tens digit of y?
5
Let d be 4/((-20)/(-45)) - 2. Suppose -49 = -d*q + 112. Suppose -4*v - w + 57 = -0*w, 5*w = 2*v - q. What is the tens digit of v?
1
Suppose -269 = -2*l - 51. Suppose -z + 183 = 5*g - 4*z, 3*g - z - l = 0. What is the units digit of g?
6
What is the hundreds digit of (-765)/18*18*-1?
7
Let a be (-2 - -3)*(23 + 2). Let d be ((-13)/(-1))/(5/a). Suppose 6*t - t - d = 0. What is the units digit of t?
3
Suppose 38*p - 23*p - 9015 = 0. What is the tens digit of p?
0
Let j(i) = -i**2 - 19*i + 5. Let f be j(-19). Suppose 4*u + 0 + 20 = 0, 4*y = f*u + 41. What is the units digit of y?
4
Let p(a) = 7*a**2 + 7*a - 99. What is the units digit of p(12)?
3
Let c = -7 - -12. Suppose -4*v = t + 51, 0*t - 99 = 4*t - c*v. Let k = t + 57. What is the tens digit of k?
2
Let j(k) = 0 + 7*k**2 - 3 - 8 + 15 - k**3. What is the units digit of j(7)?
4
Suppose 20 = 4*v, 3*v - 14070 = -0*r - 5*r. What is the units digit of r?
1
Let x(k) = k**3 - 7*k**2 + 8*k - 2. Let l be 7/((-52)/(-12) + -4). Let o be (-6)/(-8) - l/(-4). What is the units digit of x(o)?
0
Let y = -3 - 0. Let q be -3*((-14)/(-6) + y). What is the tens digit of 1 - (-22 + q - 1)?
2
Let x(r) = 10*r**3. Let w be x(-1). Let u = 12 + w. Suppose 9 = -u*q + 21. What is the units digit of q?
6
What is the units digit of 6/45 - 39140/(-75)?
2
Suppose -2*d + 25 = 3*d. Suppose -d*p + 530 = -4*c, -2*c = p + p - 212. What is the units digit of p?
6
Suppose -4*x = x - c - 14115, 0 = -c. What is the tens digit of x?
2
Let o(r) = -3*r**3 - 19*r**2 - 5*r + 14. Let v be o(-6). What is the units digit of 6764/57 - v/(-6)?
0
Suppose -11*u + 7*u + 4069 = 3*i, 4*i = 3*u - 3083. What is the hundreds digit of u?
0
What is the hundreds digit of (-2920)/(-18)*522/116?
7
Let m(v) = -25*v**2 + 22*v - 13*v + 119 + 15*v + v**3 - 112. What is the units digit of m(24)?
7
Let w(j) = -j**3 - 36*j**2 - 27*j + 63. What is the tens digit of w(-36)?
3
Let s(n) = n**3 - 7*n**2 - 8*n. Let r be s(8). Let w be (0 - r)*2/(-6). Suppose -y - y + 38 = w. What is the units digit of y?
9
Let o be 12/(-15) - 852/(-15). Suppose -4*f + o = 160. Let c = 48 + f. What is the tens digit of c?
2
Let p be ((-3)/(-6) + -1)*-12. Suppose p*l = l + 95. What is the units digit of l?
9
Let z(p) = 3*p + 406. What is the hundreds digit of z(0)?
4
Let b be ((-24)/(-10))/(6/20). What is the tens digit of 10/40 + 422/b?
5
Suppose 4*m - 53 = 187. Suppose -4*u - m = -4*h, -2*h - 3*h = 3*u - 43. Suppose -2*n - 14 = 2*q - 6*q, -2*q = 3*n - h. What is the units digit of q?
4
Let q(j) = 566*j**2 + j - 4. What is the hundreds digit of q(2)?
2
What is the tens digit of (-14604)/(-72) - (-2)/12?
0
Suppose 8*n = 4*n - 64. Let g be (n/16)/(2/(-16)). Suppose -2*c + g = 0, -3*c + 113 = 3*w + 2*c. What is the units digit of w?
1
Suppose 0*f - 5*u - 5 = 3*f, -2*u = 5*f - 17. What is the units digit of f?
5
Let q = -301 + 513. What is the hundreds digit of q?
2
Let a be (8/(-3) + 3)*33. Let b(k) = -k**3 + 12*k**2 - k - 7. What is the hundreds digit of b(a)?
1
Suppose 2*x = -2*w - 18, -w + 0*w - 2*x = 12. Let t be (-51)/w*8/1. What is the units digit of 10/45 - t/(-18)?
4
Let c(n) = -n**3 + n**2 + n + 884. What is the hundreds digit of c(0)?
8
Suppose 0 = 7*f - 19 - 37. Let o(w) = 3*w**2 - 15*w + 2. What is the units digit of o(f)?
4
Suppose 0 = -g + 3*g. Suppose t = -5*k - 11, 3*k = 3*t - g*k - 39. Suppose t = 4*d + 1. What is the units digit of d?
2
Suppose 255 = 3*f + 4*k, 2*f = -k + 20 + 155. What is the tens digit of f?
8
Suppose -4*o - 323 = -n, 10*o - 7*o = -5*n + 1500. What is the hundreds digit of n?
3
Suppose 15*s = 862 + 3623. What is the tens digit of s?
9
Let n(g) = 2*g + 11. Let a(d) = d**3 - d. Let c be a(2). What is the units digit of n(c)?
3
What is the units digit of 1 + (-10)/6 - (-50534)/66?
5
Suppose 2*t = -x - 12 + 49, -17 = -x + 3*t. Suppose -x + 98 = j. What is the units digit of j?
9
Let q(p) = -p**3 - 17*p**2 - 29*p + 18. Let l be q(-15). Suppose -144 = -5*o + l*o. What is the tens digit of o?
7
Suppose -5*t - 7 + 119 = r, r - 152 = 3*t. What is the hundreds digit of r?
1
Suppose 5 = a, -g + a - 12 = -0*a. Let k(x) = -x**2 - 7*x + 6. Let b be k(g). What is the units digit of (8/b)/(8/132)?
2
What is the tens digit of (-3440)/6*(-54)/15 - -2?
6
Let s = -302 - -86. Suppose 160 = 12*v - 2*v. What is the units digit of s/(-10) - v/(-40)?
2
Let z(v) = -v + 7. Let u be z(4). What is the units digit of (-1307)/(-7) + 6*u/63?
7
Let v(a) = a**3 - 58*a**2 + 235*a - 127. What is the units digit of v(54)?
9
Suppose -r = -0*r + 24. Let d be r/(-13) + 4/26. Suppose f + d*f = 99. What is the tens digit of f?
3
Let a(m) = m + 6. Let h(l) = -14*l - 91. Let p(s) = -91*a(s) - 6*h(s). Suppose -3*z + q = 5, 11 + 4 = -5*z + 5*q. What is the units digit of p(z)?
7
Let k be 2 + (-1)/(3/6). Suppose k = -o - 3*o + 8. Suppose -12 = -4*q - h, -2*q - o*h = -h - 4. What is the units digit of q?
4
Suppose 0 = -3*j + 2*j. Suppose 40 = u - j*u. Let w = -28 + u. What is the tens digit of w?
1
Suppose 0*s + 36 = 4*s. Let g(k) = -k**3 + 8*k**2 + 12*k - 8. Let b(y) = 1. Let m(n) = 4*b(n) + g(n). What is the units digit of m(s)?
3
Suppose 4*o - 308 = p, -o = -2*o - 5*p + 77. Let t = o - -51. What is the tens digit of t?
2
Suppose 4*l + 485 = z - 6*z, 2*z - 2*l + 176 = 0. Let r = z + 153. What is the units digit of r?
0
Let l = 4652 - 3191. What is the units digit of l?
1
Let j(p) = -5*p - 4. Let k be 7 - (-1 + -2)*-1. Let x(l) = 5*l + 3. Let d(a) = k*x(a) + 5*j(a). What is the tens digit of d(-12)?
5
Let r be 65*(4 - (-44)/(-10)). Let b = 48 + r. What is the tens digit of b?
2
Suppose 0 = -3*t + 13*z - 9*z + 6957, -9304 = -4*t - 4*z. What is the units digit of t?
3
Let s = -92 + 71. Let w = s + 322. What is the tens digit of w?
0
Suppose -5*w - t = t - 35, -t = -3*w + 10. Suppose -4*i - w = s, 7*i = s + 4*i - 9. What is the units digit of s?
3
Let w be (-4)/(5/315*-2). Suppose z = 2*f + 6*z - w, 0 = -3*z - 12. What is the units digit of f?
3
Let n(p) = -4 + 2 + p + 16*p**3 - p**2 + 2. Let f be n(1). Let g = f - -1. What is the tens digit of g?
1
Let c = -128 + 260. What is the hundreds digit of c?
1
Let x = 15 - 11. Suppose -x*f = 4, 0 = 3*y + 8*f - 3*f - 178. What is the units digit of y?
1
Let s(c) = 518*c**2 + 5*c - 3. What is the tens digit of s(1)?
2
Suppose 3*n - 6*n + 45 = 0. Let y be (-7 - 1)*n/(-120). What is the tens digit of 7 + 27 + 2/y?
3
Suppose -442368 = 5*t - 77*t. What is the tens digit of t?
4
Let z(d) = 5*d**2 - 12*d - 74. What is the tens digit of z(12)?
0
Suppose -457*b + 454*b + 4236 = 0. What is the hundreds digit of b?
4
Let j(y) = -544*y + 6. Let r be j(-1). Suppose 3*c + 4*n = 513, -4*n + 61 = -3*c + r. What is the units digit of c?
7
Suppose 0 = -p + 5*s - 166 + 402, -4*s + 1016 = 4*p. What is the tens digit of p?
5
Suppose -5*o = 2*t - o - 6, t - 3 = o. Let i be 28/16 + t/12. What is the units digit of -1 + (i - 3 - -9)?
7
Suppose o + 80 = 4*z, 4*o = 3*z - 83 + 10. Let k = z + 10. Suppose -5*g = 4*v - 116, -2*v + 3*g + 87 = k. What is the units digit of v?
9
Let l(k) = -22*k - 53. Let r be l(-10). Let o = r - 40. What is the units digit of o?
7
Let x be ((-3)/(-2))/(24/80). Suppose -x*s + s = -568. Suppose -30 + s = 2*j. What is the tens digit of j?
5
Let t be (26/6)/(1/15). Let d = 28 + -73. Let c = t + d. What is the units digit of c?
0
Let m(j) = 398*j - 28. What is the hundreds digit of m(2)?
7
Let b = -1434 + 2200. What is the units digit of b?
6
Let l = 579 + -262. What is the units digit of l?
7
Suppose -3*c - 1185 = -2*d, 2*c = 28*d - 26*d - 1186. What is the units digit of d?
4
Suppose -5*y - 39 + 49 = 0, 5*p - 1166 = 2*y. What is the tens digit of p?
3
Let c = -1897 + 3924. What is the units digit of c?
7
Let x = 5 + -8. Let o be (-7)/21 - 67/x. Suppose 2*p = o - 0. What is the tens digit of p?
1
Let n = 219 + -123. Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
- 22 - -48 - 25.
4
What is 77 + (-10 + 24 - 63)?
28
What is 61 + -8 + -1 + -26?
26
What is the value of -1 + 7 - (-14 - (16 - 10) - 7)?
33
Calculate ((-10 - -18) + -6 - 17 - 5) + 2.
-18
What is -20 - (16 - 15 - 17) - -17?
13
What is 7 - ((8 - 8) + 17 + -29 + -2)?
21
What is (17 + -3 - (46 - 32)) + (-1 - -8)?
7
What is 2 - 4 - -10 - (-410 - -392)?
26
Calculate (58 + (8 - (0 + 10)) - -7) + 66 + -55.
74
Calculate -2 + (9 - 14) + 68 + 5 + (-6 - -6).
66
Calculate -7 - (0 + 0 + 3) - (-30 + -9 + 5).
24
Evaluate 149 - 10 - 117 - (-33 - 1).
56
Calculate -18 - (-47 + -4) - -33.
66
Evaluate 4 + (-3 - (5 + (3 - 5) + -109 + 110)).
-3
What is the value of -39 + -3 - (-118 + -112 + 126)?
62
What is the value of 4 - (-19 + 57) - -24?
-10
Calculate 41 - -1 - (1140 + -1099).
1
What is (-741 - -729) + (10 - 1 - -1) + -7 + 75?
66
Calculate (1 - 31 - (1173 - 1276)) + 2.
75
Calculate -64 - (41 + -6 - (-45 - -75)).
-69
Evaluate 1 + -18 + (-84 + 209 - 37).
71
What is 145 + (-39 - (51 - 20))?
75
What is (3 - -30) + 55 + -42?
46
Evaluate -20 + (-13 + (-25 - -29) - -16) + (-3 - -54).
38
What is 47 + -64 + (-8 - -20 - -9)?
4
Calculate -66 - (-57 - -24) - -76.
43
Evaluate 5 + -62 - (-317 - -280).
-20
Evaluate (-6707 - -6762) + -2 + 51.
104
What is -3 + 26 + -68 + (-9 - (-5 - (3 - 8)))?
-54
What is the value of -1 + 3 - 10 - (-8 - -8) - -5?
-3
What is the value of 188 + -189 + 6 + 1 + -1 - 44?
-39
12 + -6 + (-5 + (10 - 15 - -9) - 22)
-17
What is the value of -3 + -3 + 19 - ((-4 - -7) + 16)?
-6
What is the value of 23 - (9 - (-28 + -9)) - 87?
-110
Evaluate 11 + 46 - -34 - (-12 + 19).
84
Calculate (1 - 4) + 25 + (15 - 49) + -48.
-60
What is the value of 55 + -1 - (13 + -19 + 23 + -13 + -2)?
52
What is the value of 13 + -1 + (40 + -18 - 6 - -55) + -12?
71
Calculate 38 + 140 + -145 + -2 + -1 + 2 + -1.
31
What is (8 - -5) + 0 + (-6 - (9 - -10))?
-12
What is the value of (-1173 - -1153) + 66 + -2?
44
Calculate ((44 - 15) + -26 - 19) + (-1 - -11) + 5.
-1
What is -26 + 1 + 1 - (6 - 2 - 18)?
-10
What is the value of (-5 + -8 - 24) + (11 - 11 - -2)?
-35
8961 - 8909 - (-8 - 1)
61
Calculate 1 - 2 - (-1331 + 1362).
-32
Evaluate 3 + 2 + 3 - (-1 + (-17 - -28)).
-2
What is -5 - (-29 + -6 + -90 + 51)?
69
What is -6996 + 6882 + 27 + -4 + 2?
-89
What is the value of (-10 - -24 - 23 - -20) + 6 + (-22 - -11)?
6
Evaluate 8 - 26 - -10 - (30 + -5 - (-9 + 2)).
-40
Calculate 8 + -14 + 8 + (-14 - -52).
40
Evaluate (-3 - -10) + 0 + (108 - (26 - (22 + -5))).
106
What is the value of (-3 - 66) + -1542 + 1630?
19
Evaluate (-2 - 31) + 227 + 99 + -284.
9
-46 + 18 + (21 - (1 - -6))
-14
Evaluate 108 + (78 - 24 - 72).
90
-7 + (-19 - (11 + 12 + -43))
-6
What is the value of (-2 + 20 - 3) + (-4 - 39)?
-28
(49 - -34) + (-66 - -5)
22
Evaluate 31 + (-5 - (29 + -41)) + 62.
100
What is 21 + -19 + (13 - (-58 - 1)) + 10?
84
Calculate -940 + 1042 - (0 - -13) - (2 - 6).
93
Calculate -59 + (1 - -155) + 13.
110
Evaluate 0 + 7 + -4 + 10 + -5 + (-28 - 0).
-20
What is the value of 19 - (3 + -2 + -145 + 148)?
15
What is -30 - (12 - (-18 - -41))?
-19
Evaluate -15 + -41 + 112 + -36.
20
What is the value of 71 + -97 + -1 + -18 - -124?
79
(22 - (-4 - (-24 + 12 + 2))) + 61
77
-12 - (-69 - ((3 - -9) + -13)) - -2
58
What is (-9 - -6 - 18 - -3) + 6?
-12
What is the value of 1 + (136 - (-136 - -143))?
130
Calculate (-17 - -33) + -13 + 18 - -22.
43
What is -1 - -8 - (-1217 + 1219)?
5
What is the value of -22 - ((-50 - -37) + 9)?
-18
Calculate 0 - (0 + 11) - (-12 - -6) - (61 - 44).
-22
4 + (-89 - -5) + (-6 - -6) + -278 + 284
-74
What is the value of (8 - -29) + -69 + 45 + 1 + 1?
15
Calculate -3 + (1 + 16 + (4 - 8) - 8).
2
What is -7 + 4 + -56 + (60 - 43) + -15?
-57
What is 210 - 124 - (15 + 51)?
20
Calculate (-4 - -52) + 14 + -27 - 17.
18
Calculate (-24 + 1 - -7 - (26 - 36)) + 0 + -64.
-70
Calculate -13 - (-1 - -3) - -8 - (1 - (-28 - -156)).
120
Evaluate -143 + 13 + -54 + 101.
-83
Evaluate (526 - 458) + -122 + -8.
-62
What is -1 + -2 + (42 - 29) + 94 + 0 + 8?
112
What is the value of -62 - -47 - (-10 + -25)?
20
What is the value of -9 + (18 - (-17 + 28)) + 11 + 46?
55
What is -19 - (-13 + -31 + 13 + -6) - 107?
-89
What is 63 + (-77 - -29) - 46?
-31
What is 12 + (-93 - (4 + -37 - -21))?
-69
Calculate 10 - (17 + -66 + 4).
55
What is the value of (8 - (23 - 10)) + 3 + (-8 - 49)?
-59
What is -18 - -1 - (-134 - (-78 - 107))?
-68
-11 + 25 + 7 + -7 + 6 + 8
28
-51 + (14 - 16 - 3) + -1 + 7 + -6
-56
What is the value of -30 - (-9 + (23 - 12 - 11) - -1)?
-22
Evaluate (-17 - (-9 + -60)) + -46 - (1 - 71).
76
What is (6 - (-4 - 7)) + (-49 - -18) + 132?
118
(3 - -3) + -98 + 79 + (1 - -1) + 125
114
-28 - (-4 + 0 + 6 + -5) - 11
-36
What is the value of -12 + (11 - (-3 - -5)) - ((2 - 66) + 6)?
55
What is the value of 36 + 34 - (51 + -21)?
40
Evaluate 8 - -9 - (443 + -449 - (-8 + 0)).
15
What is 82 - (-35 + 22 + -12 + 1)?
106
Evaluate -1 + (0 - -12) - (44 - (13 - -79) - 39).
98
What is the value of (-1 - 1) + (-14 - (7 - 15) - -43 - -17)?
52
What is (1 - (-9 - -17)) + (13 + -9 - 13)?
-16
What is -40 - (59 - 67 - (9 - 2))?
-25
Evaluate (-11 - (-45 - 7)) + (6 - (-2 - -6)).
43
-14 - ((-17 - (-51 - -12)) + -13)
-23
Calculate (1 - -5) + 9 - ((-5 - 0) + 7 + -42).
55
What is the value of (-38 - (-38 + -17)) + (2 - 39)?
-20
What is the value of 5 + (-9 + 1 + 35 + -72 - -3)?
-37
(20 - (28 + -60 + -19)) + -26
45
Calculate -53 - (-18 + 14 + -9) - (5 - (7 + -5)).
-43
Evaluate -22 - (6 + 18 - 31).
-15
What is the value of (5 + -1 + -2 - (2 + 4)) + -180 + 184?
0
Evaluate -24 - (-40 - -56) - -40.
0
Evaluate 26 + (6 - 25) + -15 - -44.
36
What is the value of 195 - ((-213 - -139) + 191)?
78
Calculate (-9 - -7) + 30 - (109 - 142).
61
Evaluate 170 + -162 + (0 - -6 - (-128 + 101)).
41
What is (-37 - 54) + 240 + -163?
-14
What is the value of 42 - 4 - (-97 + 113) - -19?
41
What is -65 + (5 - (10 + -29 - -6)) - -2?
-45
Evaluate (44 - (79 - 20)) + 50.
35
What is the value of -23 + 30 - (-24 - -59)?
-28
What is the value of -23 + (-7 - -12) - (-53 + 7 + -21)?
49
Evaluate -110 - ((-36 - 0) + 87 - 42).
-119
60 - (6 + -19 + (7 - (-24 + 1)))
43
200 - (158 + 67 + -77)
52
What is the value of (4 - -8 - 10 - 19 - -11) + (53 - -1)?
48
Calculate -5 + 24 + (11 - -5) + -19.
16
Calculate 31 + 25 + (-46 - -11) + 60.
81
What is -10 - (-34 + 37 + 6 + -2)?
-17
3 + (1 - 4) + 86 + -88 - -39
37
What is 0 + (13 - (67 + -21 + 26))?
-59
Evaluate (10 + (37 - 16) - (17 - 3)) + 8.
25
What is the value of -17 + 60 + -4 - (-2 + 3 - (2 + 4))?
44
What is the value of -7 + 38 - (1 - (-3 + 1))?
28
8 - (98 + -54 + 7)
-43
What is (-1 - -3) + -6 - (-34 - (-26 - -2))?
6
What is (9 + 13 + -178 + 25 - -5) + 6?
-120
What is 16 + 0 - (2285 - 2287)?
18
-23 + -5 + 23 - (-2 - 55) - (34 + -41)
59
Calculate -22 + 13 - (-191 - -185).
-3
10 - (8 - (-9 - (-8 + -14)) - 4 - -22)
-3
Calculate (29 + (-29 - -12) - -13) + -93.
-68
What is 2 - (-71 + -25 + -27 + 26)?
99
0 - -87 - (208 - 158)
37
What is the value of (28 - 38) + -5 + -26?
-41
Calculate -73 - -6 - (-44 + 11 + 15).
-49
Calculate -61 - -60 - (-6 + (4 + -11 - -13)).
-1
What is -10 + 2 - ((170 - 165 - (1 + 20)) + 24)?
-16
Calculate 24 - (4 + -14 + 0 + 0 - (-16 - -15)).
33
Calculate (-43 - (62 - 136)) + -8.
23
Calculate 8 + -3 + (-20 - (-4 - -5)) + (-43 - -51).
-8
What is the value of 15 + 2 + (1 - (-8 - -16)) + -16?
-6
Calculate -33 - (-44 + -2) - (0 + 55).
-42
16 - 112 - (-81 - 41)
26
-2 + 16 - (48 + 84 + -145)
27
What is -12 + (59 - 1) + -28 + -22?
-4
What is the value of (2481 - 2386) + -1 + -12 + -10?
72
Calculate 92 - (-7 + -12 + 31 + -15 - -9).
86
-1 + -6 - (-6429 + 6470)
-48
Calculate (208 - (-8 - -208)) + (-1 - (-78 + 2)).
83
Calculate -11 + 2 + 0 - (11 - (62 - 15)) - -12.
39
(56 + -330 - -120) + 0 + 43
-111
What is the value of 0 + -9 + 21 + (2 - -6) + -30 + 120?
110
What is -48 + (7 - ((-2 - -9) + 1 + 1 + -6))?
-44
-45 + 7 + (-21 - -7) - (6 + -3 - 3)
-52
Evaluate 35 + -2 + 4 + 14 + -2 + 263 + -291.
21
What is the value of -11 + 9 - 6 - (-8 - 0) - -12?
12
Calculate 62 - (40 + 58) - -18.
-18
(35 + -32 - -9) + -5 - -90
97
Evaluate -239 - -131 - -67 - 66.
-107
(-28 + 42 - (-3 + -4 + -3)) + 13
37
Calculate 0 + 47 - (-2 + -24 - (-157 - -120)).
36
Evaluate (-232 - -155 - -125) + -167.
-119
Calculate 5 + 32 + (-7 - (0 - -10 - 5) - -5).
30
What is -101 + (44 - 204
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 867395 = 24*z + 867429 for a.
7
Solve 3*d - 8407*h - 9 = -8409*h, 0 = -5*d - 2*h + 15 for d.
3
Solve 0 + 28 = 7*q + 15*o - 28*o + 8*o, q - 5*o - 4 = 0 for q.
4
Solve r = -5*t - 17, 49*r = -18*r - 30*r - 48*t + 54*t + 806 for r.
8
Solve 17 - 3 = g, 3*r = 799*g - 802*g + 54 for r.
4
Solve -1012*g + 4*o = -1010*g - 140, -o = 7*g + 50 for g.
-2
Solve -514*d + 518*d + 2*a = -20, 19*d + 2*a - 10 = 0 for d.
2
Solve -3618*j = -3613*j + q + 5 - 100, 0 = -348*j + q + 6612 for j.
19
Solve -105*n - 8 = 11*j - 110*n - 194, -7*j - 7*n = -2*n - 102 for j.
16
Solve -7*y - 9 = h, -10*h - 17 = 34251*y - 34254*y for h.
-2
Solve 0 = -4*o + 4*z + 12, -21*o - 2*z - 444 = -438 for o.
0
Solve 4*l - 176 = -6*r, 734*l - 738*l = -9*r + 244 for r.
28
Solve 242*i - 238*i = -92, 0 = 9*k + 3*i + 33 for k.
4
Solve -708 = 4*n + 119*a, 2*a = -1774*n + 1771*n - 182 for n.
-58
Solve 1110 = -4*j - 4*r + 1170, 4*r - 48 = 2*j for j.
2
Solve 0 = -4*q - 101*l + 96*l - 129, 2*q + 227 = -9*l for q.
-1
Solve 5*v + o + 66 = 11, 22*v + o - 15 = 24*v for v.
-10
Solve -c - u - 49969 + 49997 = 0, 0 = 2*c - u + 44 - 1 for c.
-5
Solve -11*d - 4*n - 2 - 1 = -3*n, -446*n + 450*n + 13 = 1 for d.
0
Solve 39 = 1346*y - 1343*y + 3*s, 0 = -5*s + 50 for y.
3
Solve 0 = -4*s - 16, -4*x - 8765269*s = -8765276*s - 36 for x.
2
Solve -5*k - 53 = l, 4576276*l = k + 4576274*l - 106 for k.
0
Solve -2*w + 15 = -6*d + d, 2*w + 6685 = -d + 6682 for d.
-3
Solve -609 = -j + 24*d + 5*d, 498*j - 6*d - 105 = 499*j - d for j.
0
Solve -5*n - 5 = -491*j + 490*j, -20 = -4*j - 8*n for j.
5
Solve -9776 = -z + 2*y - 9773, 4*z - 9 = z - 30*y + 4*y for z.
3
Solve 6 = 2*h - 5*j - 10 - 17, -27*h + 4*j + 128 = 0 for h.
4
Solve -5*q - 8*t + 348 = 0, 4*t - 5919 + 6239 = 4*q for q.
76
Solve 354*v - 359*v = 35*c + 935, 4*v - 3*c - 58 = 0 for v.
-5
Solve 6*j - j + 146 = -4*z, -10*j - 3874*z - 252 = -3876*z for j.
-26
Solve 4*t - 24 = 4*i, 0 = -5*i + 76528*t - 76529*t - 48 for i.
-9
Solve 0 = -q + 6*v - 41, 0 = q - 376*v + 379*v + 5 for q.
-17
Solve -3*m + 101 + 1 + 75 = -4*m + 4*h, 0 = -10*h + 430 for m.
-5
Solve 12*d - 13*d = 4*y - 37, 15*y + 4*d - 2 - 121 = 25 for y.
0
Solve m + 6 = z, 3015*z - 197 = 3018*z + 40*m for z.
1
Solve -2*t - 4*m = -20, m = t + 54340 - 54335 for t.
0
Solve -6*u - 3*u - 10 = -u - 6*u, 0 = -25*d + 4*u + 470 for d.
18
Solve -2*q = -4*q - 3*y + 14, 2*q - 13 = 13*q - 0*q - 6*y for q.
1
Solve 5*h + 6*h - 120 + 88 = -u - 72, 0 = 3*h + u for h.
-5
Solve 2*k + 2*r - 62 = 0, 218 = 3088*k - 3090*k + 8*r for k.
3
Solve 0 = 211*c - 4*z - 592, 189 = -640*z + 643*z for c.
4
Solve -12*g = -3*w + 3, 30*g + 0 + 48 = -8*w + 34*g for w.
-7
Solve -57 = 5*w - 17436*i + 17432*i, -2*w = -2*i + 24 for w.
-9
Solve 3*b + 37 = 2*c, -4*b + 170*c - 158*c - 292 = 0 for b.
5
Solve -5*c - 3*a + 62 = 0, 15*a + 9*a = 72*c - 6*a + 25*a - 218 for c.
4
Solve -75 = -6*u + 15*t, 5*t + 349 - 159 = u + 170 for u.
5
Solve -3 - 34 + 9 = -23*u + 25*u + 4*z, 63 = 3*u - 15*z for u.
-4
Solve 3*p - 3*n = -6*n + 36, 39*n - 33*n = p - 46*n + 412 for p.
4
Solve 4*k - 52 = -122554*r + 122552*r, 4*r = -4*k + 92 for r.
20
Solve -11839*k - 3*i = -11834*k - 16, -i + 8 = k - 0*i for k.
-4
Solve -3*q - 45 = o, -847*q + 8*o = -848*q - 136 - 201 for q.
-1
Solve -9*v + 11*v + 125 = g + 77, -124 = 5*g + 4*v for g.
-4
Solve 30*b - 54*b + 376 = 4*j, 4*b + j = 64 for b.
15
Solve 0 = -a + 2*p - 15, 152*p = -4*a + a + 50*p - 22 - 23 for a.
-15
Solve 148*s = 8*n + 116*s - 24, 4*n + 3*s - 2*s = -22 for n.
-5
Solve p + 3*h = 1, -h = -p + 9043 - 9038 for p.
4
Solve 6*p - y = -5*p + 327, -69192*p = -69196*p - 3*y + 129 for p.
30
Solve 0 = -5*x - 3652*a - 11996 - 2602, a + 15 = 86*x - 82*x + 3 for x.
2
Solve 3*w = 7*m - 2*m + 10 - 22 - 34, 12 = 6*m for w.
-12
Solve -43*o - 15*o + 5*x - 1213 = 0, 2*o + 6*x + 81 = -2*o + 9*x for o.
-21
Solve -7*l + 37 = -17*l + 3*m + 43 + 72, 54 = 7*l - 2*m for l.
6
Solve o - 13 = -4*n, -40 - 83 = -9*o + 188 - 50 for n.
-4
Solve -4*j + j - 21*b + 20 - 50 = 0, j + b + 2 + 2 = 0 for j.
-3
Solve -667*r = -20*d + 18*d - 672*r + 74, 81 = 21*d + 3*r - 3 for d.
2
Solve 10739*d = 3*h + 10736*d - 48, -2*h + 5*d + 92 = 0 for h.
-4
Solve 9 = -3*m - 6*h, -3*h - 192 = 5*m + h - 99 - 102 for m.
5
Solve -h = -2*c + 40, 114*h - 2*c = 118*h + 48 + 62 for h.
-30
Solve 4*n - 30*y = n - 168, 0 = -98*n + 95*n + 2*y for n.
4
Solve 6*f - 3*o + 2 = 4*f - o, 12*o + 270 = -3*f + 104*o for f.
2
Solve 4790*i = -3*w + 4797*i - 54, -2*i = -4*w - 6 for w.
3
Solve -11*x + 69 = -4*a, -2*a + 181 = -2*x + x + 184 for a.
2
Solve -6*l + 1302*r = -4*l + 1306*r - 8, 0 = -3*l + r - 18 - 5 for l.
-6
Solve 0 = 275*j - 278*j + 12*l - 54 + 15, 0 = 2*j - l - 2 for j.
3
Solve 1553*b + r + 84 = 1549*b + 5*r, -4*b + r + 8 - 26 = 0 for b.
1
Solve z + 14 = 3*t, -123288*t + 3*z + 18 = -123287*t for t.
3
Solve 9970*w + 5 = 9975*w + 5*u, -9*w - u - 23 = 0 for w.
-3
Solve 8*i = 5*l + 1, -2*l - 6*i = -4*i + i - 12 for l.
3
Solve 7*q = 4*b + 118, -5*q - 245 + 265 = 10*b for b.
-5
Solve 3*o = -13*p + 40, 22*o - 73*o + 23*o + 33 = -25*o + 6*p for o.
9
Solve 207*x - 208*x + 58 = 29*b, 5*x + 6 = 3*b for x.
0
Solve -3*z - 4*a = 1, 3*z + 24*a + 38 = -44 + 1 for z.
5
Solve -19 = -27*d - z - 3*z, 491*d = 494*d + 12*z + 12 + 9 for d.
1
Solve 2*z = -k + 13, 4*k - 31 - 2 - 1 = z for z.
2
Solve 0 = 1008*b - 1007*b - 3*d - 3 - 32, -5*b - 14 + 2 = 2*d for b.
2
Solve 2*k + 160 = -14*a, 53 = 4*k - 5*a - 23 for k.
4
Solve -15*v + 1149 = -18*v + 21*r, 7*r - 5*r - 113 = v for v.
-5
Solve s - s + 61*l + 1444 = 529, 4*l + 52 = -4*s for s.
2
Solve 4*a + 2*y = 16, y - 403 = 4*a - 419 for a.
4
Solve -2*m = -9*p + 18*p, -p = -3*p - m + 6*m - 33 - 16 for p.
-2
Solve 4*m + 5626207*v = 5626209*v + 40, 5*m + 2*v = -13 for m.
3
Solve -w - 1 = 0, 0 = 2*r + 21*w + 371099 - 371062 for r.
-8
Solve 0 = 3816*g - 3822*g + x + 3, -3*x = -g - 8 for g.
1
Solve -2*v - 3*w = -109, 191*v - 194*v + 108 = 3*w for v.
-1
Solve 0 = -p - 3677*s + 3674*s - 38, 0 = 3*p - s + 4 for p.
-5
Solve 171 = 3*f - 6*l, 2*f - l = 127 - 25 for f.
49
Solve 0*b = -422*t + 427*t - 3*b - 276, 5*t - 2*b = 274 for t.
54
Solve 20*c = 8*c - 4*l - 32, 22 = -2*c + 5*l + 2 + 9 for c.
-3
Solve 17*x = -6*u + 14*x - 19 + 16, u + 9*x = 8 for u.
-1
Solve -315 - 567 = -42*i - 3*o - 204, 0*i - i - 3*o = -22 for i.
16
Solve 2*a + 23 = 328*m - 323*m, 3*m + 51 = -15*a for m.
3
Solve 8 = 4*t - 6*p, -t + p + 44244 = 44243 for t.
-1
Solve 8*z - 5*i = 199, -914*i = 3*z - 913*i - 89 for z.
28
Solve 28*t - 66 = -24*t + 2*x, -2*x = -2*t + 66 for t.
0
Solve -3*r + 14*k + 21 = 5*k, 2*k - 962 = -r + 6*k + 974 - 1926 for r.
-2
Solve -47*g - 20 = -27*g - 15*g, 0 = -5*k - 15*g - 0 - 75 for k.
-3
Solve -s - 2*v + 3*v = 22, -3*v + 74 - 113 = 2*s for s.
-21
Solve -35 = 21*t + 48*t - 8*t - y - 9, -7 = -4*y + 341 for t.
1
Solve -83*o = -84*o + 55*b - 2802, 2*o - 2*b + 96 = 0 for o.
3
Solve 3877 - 3922 = -5*v - 2*b, 4*v - 5*b - 3 = 0 for v.
7
Solve -4*m = -5*g + 24, -7*m + 8*m - 5*g = 3*m - 18 for m.
-1
Solve -19*f + 8*f + 6*f = 169*r + 42*r + 205, r + 5*f = -205 for r.
0
Solve -479501*l = -479505*l - t - 31, -l - 1 = -2*t for l.
-7
Solve -2*u + 339 = 10*y + u + 294, 4*u = -4*y + 4 for y.
6
Solve 30*p - 3*c - 242 + 385 = 200, 4*p = 5*c + 3 for p.
2
Solve 0 = -4*z - 8*z + 5*z + 5*z + 4*f - 20, 4*f = 819*z + 6556 for z.
-8
Solve 0 = -9*k - 3*r - 9, r + 32293 = 32293 for k.
-1
Solve -m - 2*m + 5*j + 52 = 0, 0*m + 4*j = -0*m - 20 for m.
9
Solve 10 = -10*c + 4*x, 1108*x = 5*c + 1104*x + 15 for c.
1
Solve 227*v - 231*v = 5*x - 99, 3*x = -2*v + 59 for v.
1
Solve 359704 = -2*r - 5*h + 359681, h + 4 = -r - 3 for r.
-4
Solve 5*v - t = 131, 157*t = 16*v + 161*t - 448 for v.
27
Solve 18*a = -i - 68, 0 = -5*a - 401 + 386 for i.
-14
Solve 0 = 5*b - 359*s + 296*s - 5, -5*b + 5 = -7*s for b.
1
Solve 0*q = 4*q + 66*d + 212, 2*d + 0*d + 390 - 136 = -3*q for q.
-86
Solve -5*i + 2386 - 2474 = 7*f - 4*f, 5*f = 2*i - 188 for i.
4
Solve -4*x - 2*v = -0*v + 16, 2*x + 4132 = -3*v + 2058 + 2066 for x.
-4
Solve -168*b + 163*b + a + 13 = 0, -a + 13 = 5*b + 56 for b.
-3
Solve 125*n - 126*n + 5*p = 32, -4*n - 3*n = -2*p + 26 for n.
-2
Solve 355*z + 8436 = 2*i - 12148, -26*z + 0*i - 110 = -24*z - 2*i for z.
-58
Solve 0 = 5*b - 10*b + 9*j - 4*j - 5, 3*b + 19*j + 55 + 36 = 0 for b.
-5
Solve -4*w = 12, 8*x + 2*w + 21 + 9 = 0 for
|
{
"pile_set_name": "DM Mathematics"
}
|
125/12 and g.
48
Let d = -45 - -429/8. Let g(z) = z**3 - 10*z**2 + 13*z - 9. Let w be g(9). Let i = w - -3. Find the common denominator of d and i.
8
Let g(w) = 6*w - 6. Suppose 4*p = -3*t - 8, -3*p - 5 = -0*p + 2*t. Let q(s) = -s. Let r(z) = p*g(z) + 5*q(z). What is the least common multiple of 4 and r(9)?
12
Let m(i) = 4*i**2 - 4*i + 2. Let f be m(2). What is the lowest common multiple of 11 and ((-45)/f)/(1/(-2))?
99
Suppose 2*p = -3*r + 1 + 15, 14 = 2*r + 2*p. Suppose r*n + 3*b + 19 = -62, -2*n - 69 = -b. Find the common denominator of -39/10 and 10/(-8)*n/(-8).
40
Let j be (-2)/(-4) - (-1276)/8. What is the common denominator of -125/6 and 1 - 0 - 488/j?
60
Suppose -6 = 3*a + 3*q - 27, 3*q = 4*a - 49. What is the least common multiple of 14 and a?
70
Let j = -239/10 - 68/5. Find the common denominator of -71/10 and j.
10
Suppose 3*v - 4*q = 21, -v - v - q + 14 = 0. Calculate the common denominator of (-2)/(-7)*20 - 0 and 78/20 - (v - 4).
70
Let n be (2/5)/1*10. Suppose n = -x - x. What is the common denominator of x + (-2)/((-60)/309) and 13/22?
110
Suppose 3*n - 64 = -n. Let d(x) = x**3 + 5*x**2 - 8*x - 10. Calculate the least common multiple of n and d(-6).
16
Find the common denominator of (522/24 + 2)*(-2)/(-5) and -28.
2
Let d be 111/15 - (-6)/10. Calculate the least common multiple of 6/10 - d/(-20) and 6.
6
Let c = 2175693/558908 + 2/19961. Find the common denominator of c and 3/14.
28
Let n be (-2)/(-4) + (-555)/(-6). Let x be ((-6)/9)/((-1)/n). What is the common denominator of (-2)/9 - x/(-36) and 55/6?
6
Let r = -1/793 - 5541/7930. Let j = 4455/7 + -634. What is the common denominator of r and j?
70
Calculate the common denominator of -3/4 and (-1377)/238 - (-4)/(-14).
28
Suppose -s = -3*x - 5*s - 16, -s = 5*x + 21. Let p be 6/(-45)*162177/x. Let f = p + -5414. What is the common denominator of f and 137/18?
90
Suppose 2*w - 273 = -1671. Let d = -2063/3 - w. What is the common denominator of 32/7 and d?
21
Let y be (-18609)/18*-1 + -1. Let r = y + -1044. What is the common denominator of -63/5 and r?
30
Suppose -2*k = -3 - 1. Suppose -30 - 17 = 5*t - 4*l, -2*t - 17 = -l. Calculate the common denominator of k/t - (-526)/(-21) and -3/5.
15
Suppose 0 = -x + 480 - 5990. Let o be x/(-36) + (-6)/9. Let g = o + -869/6. Find the common denominator of g and 127/6.
18
Let s(l) = -l - 8. Let f be s(6). Calculate the common denominator of 75/4 and (-291)/f + (-2)/7.
4
Let i = 54/65 - -1823/1170. Let y = -542/13 - -4739/104. What is the common denominator of i and y?
72
Let x(j) = -10*j**2 - 13. Let u(o) = -3*o**2 - 4. Let t(q) = -7*u(q) + 2*x(q). Calculate the smallest common multiple of t(0) and 9.
18
Let z = 100/477 - -2/159. Calculate the common denominator of (12/27 + 1)*-12 and z.
9
Let h = -19 + 13. Suppose -19 = -3*t + 11. What is the lowest common multiple of t and 18*(-1 + (-9)/h)?
90
Let w be 116/(-14) - 4/(-14). Let p = -1 - w. Suppose -5*x + 3 = -p. What is the lowest common multiple of x and 22?
22
Suppose 242 = -3*l + 5*l. Find the common denominator of 5/10 + l/(-10) and 2 + -1 + (-30)/(-7).
35
Find the common denominator of (-62)/(-20) + (-224)/(-35) + -7 and -49/5.
10
What is the common denominator of -115/12 and (1 - (-396)/(-16)) + 2?
12
Suppose -4*n - 2*p = -10 + 4, 5*n - p = 11. Let h(f) = 4*f - 2. Calculate the smallest common multiple of h(n) and 22.
66
Suppose 10 = 2*l - 4*h - 4, 3*l + 12 = -5*h. What is the common denominator of ((-2)/(-18))/(2/118) and 272/(-12) - l*2?
9
Let x = 20 - 14. What is the lowest common multiple of 6 and x?
6
Suppose -20 = -3*j + 2*j. Calculate the smallest common multiple of 18 and j.
180
Suppose -3*j + 3 = -3. Suppose 8 = j*k, -5*y + 5 = -2*k - 22. What is the lowest common multiple of y and 2?
14
Let o be ((-3)/2 + -1)*-2. Suppose 0 = -2*n + 2*d + 32, 3*n - 7 - 43 = o*d. Calculate the common denominator of 50/7 and n.
7
Let g be -2 - 1*(-1186)/594. Let y be (3723/540)/(66/68). Let x = y + g. Find the common denominator of 6/7 and x.
70
Let k(m) be the first derivative of m**4/4 + 4*m**3/3 + 3*m**2 + 4*m - 1. Let o be k(-4). Find the common denominator of (-126)/o*(-2)/(-12) and -99/14.
140
Suppose 0 = k + m + 7, -m - 17 = 5*k - 5*m. Let a = k + 0. Calculate the least common multiple of (8/a)/(4/(-10)) and 6.
12
Suppose 2*h - 16 = -4*x, -h + 22 = 5*x + 2*h. Suppose -x*i + i + 8 = 0. Calculate the smallest common multiple of 1 and i.
8
Calculate the lowest common multiple of (-1)/((-2 - (-18)/(-16)) + 3) and 110.
440
Let g(h) = -h**3 - 5*h**2 - h - 4. Let r be g(-5). Let u be (r/(-20))/((-2)/(-44285)). Let w = -1105 - u. Calculate the common denominator of 8/11 and w.
88
Suppose -15 = -4*h + h. Let q(g) = g**3 - 3*g**2 - 8*g + 4. Calculate the lowest common multiple of q(h) and 12.
84
Let k(q) = -2*q - 4. Let a be k(-3). Let r be -996 + (-1 + 2)*a. Let l = r - -6994/7. What is the common denominator of -14/3 and l?
21
Let g = 3 - 5. Let j = 0 - g. Suppose 3*w + j*p - 38 = 0, -3*w + w + 3*p + 8 = 0. What is the smallest common multiple of w and 7?
70
Let v = -1731483/179896 - 2/22487. Let m = -2941/182 - -45/26. Let c = 1053/56 + m. Calculate the common denominator of c and v.
8
Let z = 13 - 6. Let p(g) = g**2 - 2*g + 2. Calculate the smallest common multiple of z and p(2).
14
Let i = 72 + -48. Suppose 0 = -2*y + p + 11, y - 5*y + 4*p = -i. Calculate the lowest common multiple of 2 and y.
10
Let g = 443/3 + -619/4. Let u be ((-2)/606)/(52/18). Let n = 28243/11817 + u. Find the common denominator of n and g.
36
Let i = -1/2493 - -32417/19944. Let n be (-4)/10*(-10)/2. Calculate the common denominator of (22/(-24))/(n/18) and i.
8
Find the common denominator of 0 + (-734)/140 - (-24)/(-60) and -29/20.
140
Calculate the common denominator of 12*(-3)/(-88) + (-8)/2 and -44/3.
66
Let b(d) = d**3 - 6*d**2 + 2*d - 7. Let z be b(6). Calculate the least common multiple of 4 and (12/z)/((-3)/(-10)).
8
Suppose -4*a - 24 = -2*k - k, 0 = -2*k - 5*a - 7. Suppose 0 = k*o - 5*o + 2. Suppose 0 = -o*r + 5*r - 30. Calculate the smallest common multiple of r and 6.
30
Let j(x) = -x**2 + 4*x + 7. What is the least common multiple of 11 and j(4)?
77
Let s = 30 - 45. What is the common denominator of (-9)/s*58/(-4) and 3/(-5) - 2644/(-240)?
60
Suppose -3*r = 2*r + 35. What is the smallest common multiple of 8 and (-9 - r)/(2/(-12))?
24
Let o be (-143)/(-5) + (-12)/(-30). Suppose -2*n + 3 = -o. What is the lowest common multiple of 20 and n?
80
Let u = 587 + -389. What is the common denominator of 7/7 + u/20 and 17/10?
10
Let m = 5182/165 + -542/15. Find the common denominator of m and -4 - ((-231)/12 - 2).
44
Calculate the smallest common multiple of ((-8)/6)/((-5)/165 + 0) and 28.
308
Let k = -288102/5 + 57381. Let o = 26439/110 + k. Calculate the common denominator of -41/14 and o.
154
Let b = 5815/164 + -480/41. Let v = 13/9 - 71/18. Find the common denominator of b and v.
4
Find the common denominator of -44/9 and (55/(-60))/(2/6).
36
Let m(n) = -n**2 + 3*n + 3. Let s be m(3). Suppose s*k - 54 = -0*k. What is the smallest common multiple of 22 and k?
198
Let c(x) = 2*x**2 + 3*x. Suppose 10 = -2*r + 2*b, 5*b - 11 = 4. Let z = r - 2. What is the smallest common multiple of 18 and c(z)?
180
Let i(o) = -2*o**2 - 34*o - 17. Calculate the least common multiple of 12 and i(-16).
60
Let c(z) = z**2 + 2*z - 9. Let b be c(7). Suppose -v = -b + 4. Suppose 2*l = 7*l - v. Calculate the lowest common multiple of l and 8.
40
Let v = -20317/9 + 2260. What is the common denominator of v and 76/3?
9
Let t = 3347 - 13317/4. Find the common denominator of (-1)/2 + (-30)/(-14) and t.
28
Let r(s) = s + 21. Calculate the smallest common multiple of 1 and r(-20).
1
What is the common denominator of 5/(-15) + 1 + 57/(-6) and 7/3?
6
Let t be -140*(1/4 + -1). Suppose -k - 3*n = n + 4, 5*k - 5*n - t = 0. What is the smallest common multiple of 11 and (-1)/(-3) - k/(-6)?
33
Let w be (-6)/(-18) - (-108487)/(-27708). Let d = -3/2309 + w. What is the common denominator of d and 95/4?
12
Let x(k) = -k**3 + 6*k**2 + 8*k - 4. Let w be x(7). Suppose 5 = -z + w*f, f - 25 + 2 = -5*z. What is the smallest common multiple of z and 20?
20
Let w = 13/1123 + -75475/20214. Let x = 2202/13 - 92809/546. Find the common denominator of w and x.
126
|
{
"pile_set_name": "DM Mathematics"
}
|
j when three letters picked without replacement from lmmnnmmnjnj.
4/495
Calculate prob of sequence rnry when four letters picked without replacement from {r: 3, c: 3, y: 2, e: 4, n: 4}.
1/910
Four letters picked without replacement from {h: 2, l: 2, d: 7}. Give prob of sequence lldh.
7/1980
Two letters picked without replacement from dffsnjx. Give prob of sequence jd.
1/42
Calculate prob of sequence shs when three letters picked without replacement from zzzhhzsszzhhszhhzhz.
7/969
Three letters picked without replacement from {z: 1, y: 1, q: 1, g: 2, o: 2, b: 1}. What is prob of sequence gyo?
1/84
Three letters picked without replacement from {q: 3, z: 3, b: 1, c: 5, v: 1}. What is prob of sequence vqc?
5/572
What is prob of sequence nxp when three letters picked without replacement from xxnxcxcnip?
1/90
Two letters picked without replacement from {t: 1, m: 1, s: 1, w: 2, b: 2, z: 1}. Give prob of sequence zb.
1/28
Three letters picked without replacement from uuuvuvuvvuu. Give prob of sequence uuv.
28/165
What is prob of sequence zz when two letters picked without replacement from {u: 1, f: 6, z: 10}?
45/136
What is prob of sequence vvlv when four letters picked without replacement from vqvbvvqqqbalvqaqvvbq?
7/3876
Calculate prob of sequence uua when three letters picked without replacement from aauaaaaauaaaaaaaua.
5/272
Four letters picked without replacement from {g: 1, c: 4, n: 2, s: 1}. Give prob of sequence scnc.
1/70
Calculate prob of sequence id when two letters picked without replacement from ggigdgidiir.
4/55
Two letters picked without replacement from ikqbi. What is prob of sequence ki?
1/10
Three letters picked without replacement from {n: 3, m: 1, k: 4}. What is prob of sequence kmk?
1/28
Calculate prob of sequence omo when three letters picked without replacement from momomqmmomoomomqm.
9/136
Calculate prob of sequence prh when three letters picked without replacement from {h: 1, r: 9, p: 1}.
1/110
Two letters picked without replacement from yhhyydhuff. Give prob of sequence yy.
1/15
Calculate prob of sequence vmmv when four letters picked without replacement from {m: 7, v: 12}.
77/1292
Two letters picked without replacement from {q: 1, g: 1, d: 1, e: 2}. What is prob of sequence ed?
1/10
Calculate prob of sequence uk when two letters picked without replacement from iiroouiirkiwiii.
1/210
Calculate prob of sequence fcfl when four letters picked without replacement from fflflccfhfccchhhhhh.
25/11628
Four letters picked without replacement from ocrccoccqcocqccc. Give prob of sequence qoro.
1/3640
Two letters picked without replacement from gggsnfsnggggengngg. Give prob of sequence ge.
5/153
What is prob of sequence xxxx when four letters picked without replacement from {c: 3, n: 1, x: 1, e: 2, m: 3}?
0
Three letters picked without replacement from mmmzmmmmmmmmmmm. Give prob of sequence mzm.
1/15
Four letters picked without replacement from {g: 1, c: 1, k: 4, a: 1, r: 4}. Give prob of sequence cgra.
1/1980
What is prob of sequence wmw when three letters picked without replacement from wmmwmmmm?
1/28
Two letters picked without replacement from {z: 6, l: 5, t: 3, y: 5, c: 1}. Give prob of sequence zt.
9/190
Three letters picked without replacement from vaavajvmqq. Give prob of sequence vma.
1/80
Calculate prob of sequence yrxy when four letters picked without replacement from xyxrxxyyxxyxx.
4/715
Two letters picked without replacement from {s: 4, z: 4, k: 3}. Give prob of sequence zk.
6/55
Two letters picked without replacement from kkpkuukykukkj. Give prob of sequence py.
1/156
What is prob of sequence yy when two letters picked without replacement from {z: 1, y: 3, q: 3}?
1/7
Two letters picked without replacement from {r: 3, e: 13, d: 1, o: 2}. Give prob of sequence eo.
13/171
Two letters picked without replacement from eeeerreeee. What is prob of sequence rr?
1/45
Two letters picked without replacement from zqmqg. Give prob of sequence zq.
1/10
What is prob of sequence rumx when four letters picked without replacement from {s: 1, m: 2, w: 3, r: 1, x: 3, u: 1}?
1/1320
What is prob of sequence eh when two letters picked without replacement from rhyhhhrzerahrzyr?
1/48
What is prob of sequence uuud when four letters picked without replacement from dddleuedueblmlmleued?
1/3876
What is prob of sequence mb when two letters picked without replacement from mhmqqqmhhqhbmmqm?
1/40
Three letters picked without replacement from wwwtwt. What is prob of sequence twt?
1/15
Calculate prob of sequence gy when two letters picked without replacement from {u: 5, y: 3, o: 3, g: 3, k: 1}.
3/70
Three letters picked without replacement from {z: 3, t: 2, a: 8, i: 1, l: 2, w: 4}. Give prob of sequence wtt.
1/855
What is prob of sequence fufj when four letters picked without replacement from jjujjfjjfjfujjj?
1/273
Four letters picked without replacement from yyoyyooooooyyy. Give prob of sequence yyoy.
35/572
Two letters picked without replacement from {j: 1, q: 2, i: 8, g: 4}. Give prob of sequence ii.
4/15
What is prob of sequence ka when two letters picked without replacement from yknnknnikynnyayay?
3/136
Calculate prob of sequence dd when two letters picked without replacement from qwqdqwdq.
1/28
Two letters picked without replacement from rckyrcccec. Give prob of sequence ey.
1/90
Four letters picked without replacement from cmcqqcqcqm. Give prob of sequence mcmc.
1/210
Calculate prob of sequence sssd when four letters picked without replacement from {d: 1, s: 12}.
1/13
What is prob of sequence huhh when four letters picked without replacement from {h: 3, u: 4}?
1/35
Three letters picked without replacement from nnpo. What is prob of sequence npo?
1/12
Calculate prob of sequence dddi when four letters picked without replacement from {i: 10, d: 2}.
0
What is prob of sequence fs when two letters picked without replacement from {a: 1, f: 8, s: 4}?
8/39
Three letters picked without replacement from qpqpppcpppppppgn. Give prob of sequence qqp.
11/1680
Four letters picked without replacement from igingngnvngnvvvp. What is prob of sequence nivi?
1/1092
Calculate prob of sequence ya when two letters picked without replacement from {a: 1, j: 3, c: 2, d: 6, y: 1}.
1/156
Two letters picked without replacement from {t: 2, b: 2, q: 6, j: 8}. What is prob of sequence qq?
5/51
Calculate prob of sequence kq when two letters picked without replacement from {k: 2, z: 2, e: 3, q: 2}.
1/18
Two letters picked without replacement from hgbefbfgebfeu. What is prob of sequence fu?
1/52
What is prob of sequence ipww when four letters picked without replacement from {p: 2, w: 4, c: 2, i: 4}?
4/495
Two letters picked without replacement from nmwmpgb. Give prob of sequence mp.
1/21
Calculate prob of sequence sy when two letters picked without replacement from {y: 1, s: 1, g: 2, i: 7, d: 4}.
1/210
What is prob of sequence epp when three letters picked without replacement from epeeepe?
1/21
Calculate prob of sequence xxx when three letters picked without replacement from {x: 7, t: 7}.
5/52
Four letters picked without replacement from nnnnnnn. Give prob of sequence nnnn.
1
Calculate prob of sequence cc when two letters picked without replacement from vooococococvo.
1/13
Calculate prob of sequence gx when two letters picked without replacement from ggrxrh.
1/15
Two letters picked without replacement from myymy. Give prob of sequence my.
3/10
Two letters picked without replacement from ttoffffc. Give prob of sequence ff.
3/14
Three letters picked without replacement from xddqqdxxqdd. Give prob of sequence qqq.
1/165
What is prob of sequence epe when three letters picked without replacement from {p: 3, k: 2, e: 7}?
21/220
Four letters picked without replacement from ydlllllyyldllydlll. Give prob of sequence lddd.
11/12240
Two letters picked without replacement from xxxx. What is prob of sequence xx?
1
What is prob of sequence sq when two letters picked without replacement from {q: 1, s: 2, m: 1}?
1/6
What is prob of sequence wwqr when four letters picked without replacement from rqrrweq?
0
Two letters picked without replacement from {x: 2, h: 1}. What is prob of sequence xh?
1/3
Calculate prob of sequence mmb when three letters picked without replacement from {m: 12, b: 3}.
66/455
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
2)).
-2/9
What is (-22)/8 + 11/(-44)?
-3
Evaluate (-120)/(-540)*(-54)/(-10).
6/5
Evaluate (0 - -7) + (-270)/40.
1/4
Calculate (-330)/(-54) + -3 + -3 + 0.
1/9
What is 4/14 + 14/(196/(-74))?
-5
Calculate 20/(-105)*(-14)/12.
2/9
What is the value of 4*(-1 + 81/78)?
2/13
What is the value of (4/42)/(12/14)?
1/9
Calculate ((-160)/224)/((-5)/(-35)).
-5
What is (-60)/(-270) - (1 - (-67)/(-63))?
2/7
What is the value of 2*(((-77)/(-14) - 5) + -4)?
-7
What is -2 + ((-4)/(-2))/(-2)?
-3
What is ((-10)/3)/((-16)/(-24))?
-5
What is 45/(-15) + 18/(-6)?
-6
(3/(-5) + 0)/(300/(-200))
2/5
What is (-6)/(-9)*(-63)/(-14)?
3
50/15*42/(-28)
-5
What is the value of 5 - -1 - 125/20?
-1/4
Evaluate -2 + (6/(-12))/((-3)/(-6)).
-3
Calculate 6/27 - 6/9.
-4/9
Calculate (2/(-8))/(224/256).
-2/7
((-3)/9*3)/((-136)/51)
3/8
(-5)/20 - (1 + 57/(-52))
-2/13
Evaluate (-117)/(-36) - 3*(-2)/8.
4
What is 4/(-12) - 2/3?
-1
(-12)/(-8) + (-3 - (-5)/(-10))
-2
What is 2/(-7) + -16 + (-860)/(-70)?
-4
What is the value of (-12)/20 - (117/30 + -4)?
-1/2
Evaluate ((-196)/35 + 4)/(1/(-5)).
8
What is 9/(-27) - (-1)/21?
-2/7
What is 1 + 1 + (-8)/2?
-2
Calculate 44/(-33)*(0 + (-6)/8).
1
What is the value of (-135)/(-380) + (-1)/4?
2/19
Evaluate (105/(-20))/((-54)/72).
7
What is ((-325)/(-78) + -4)/(4/(-3))?
-1/8
What is the value of -15 + 7 + 13 + -8?
-3
Evaluate 1/(-7)*3*56/(-144).
1/6
What is (-1 + 4 - -1)*(-1)/2?
-2
((-3774)/(-63))/(-37) + (-4)/(-3)
-2/7
(29/15 - 2)*400/120
-2/9
Evaluate 2/8 + (-80)/(-192).
2/3
Evaluate ((-2)/(-5))/((-13)/26).
-4/5
What is the value of 28/(-35) + 5 + 22/(-5)?
-1/5
Calculate (-1)/(7*3/6).
-2/7
What is the value of -10 + (-7 - 582/(-34))?
2/17
What is the value of 3/(-6 - (-5)/20*6)?
-2/3
Evaluate ((-6)/4)/((-6)/(-8)).
-2
86/387 - (0 - (-82)/126)
-3/7
Evaluate (6/22)/((-6)/4).
-2/11
Evaluate 2 + 0 + -8 + -1 + 8.
1
What is the value of (-4116)/840 + (-1)/10?
-5
Calculate (-23)/6 - 1/6.
-4
1*(-5)/(-40)*(0 + 2)
1/4
(-3 - 370/(-120)) + 2/8
1/3
What is the value of (-12)/153*(1 + (-2)/(-4))?
-2/17
(-6)/(-20) + (68/40 - 11)
-9
(68 - 62)*(2 + 10/(-4))
-3
Evaluate ((-3)/(-15))/(16/(-40)).
-1/2
Calculate (2 + 1222/(-637))*21/2.
6/7
What is 48/10 - ((-12)/(-20))/(-3)?
5
Calculate (-16)/(-48) - (-2)/(-6).
0
Evaluate (-52)/28 - ((-50)/35)/(-10).
-2
Evaluate (-4)/(-3)*7/42*-3.
-2/3
((-2)/8)/((-4)/32)
2
Calculate ((-10)/24)/(5/(-2)).
1/6
-5 - -8 - 9/1
-6
Calculate ((-2)/12)/((-6)/(-18)).
-1/2
Evaluate 1/2*(-5 + 5) + 5.
5
What is the value of (10/6)/(180/24)?
2/9
What is 16/(-10)*(-5)/14?
4/7
Calculate 45/(-12) + 2/(-8).
-4
Evaluate 0 + (-4 - -3)*2.
-2
What is the value of -2 + (24/(-28) - (-16)/(-14))?
-4
Evaluate (-17)/(-6) + -2 + -3 + 2.
-1/6
Calculate 140*(-8)/144 + 4/(-18).
-8
What is the value of (-3)/4*(-3)/9?
1/4
Calculate 3 + 3 - (-5 - -7).
4
3/9*-17*3 + 8
-9
What is 24/(-9) - 2 - (-3)/(-9)?
-5
What is the value of 2 - (-1)/1 - 180/50?
-3/5
What is 3/((-30)/(-4)) + 48/(-70)?
-2/7
What is the value of 2/16 + 136/(-544)?
-1/8
What is the value of (-11)/((-99)/(-6))*(-3)/6?
1/3
What is (14/3 + -4)/(-1)?
-2/3
What is the value of -4*(-4)/16*-2?
-2
What is (45/(-720))/(2/(-8))?
1/4
Evaluate 18/2 - 8 - 9.
-8
(-1)/(9 - 132/18)
-3/5
What is the value of ((-14)/30)/(-1) - 11/(-55)?
2/3
Calculate (-504)/(-63) - (-1 - -11).
-2
180/72*3/((-105)/2)
-1/7
Evaluate (-35)/(-175)*5/4.
1/4
What is (304/24)/(-19)*1/6?
-1/9
(0/(2 + 2))/(-2)
0
Evaluate 1 + 2 + (-34)/12.
1/6
What is (-2)/(-24)*46 - (-104)/(-26)?
-1/6
Evaluate 2142/(-408) + (1 - (-3)/(-4)).
-5
Calculate (-245)/49 + (-39)/(-8).
-1/8
Evaluate (-17 + 18)/(1 + -8).
-1/7
Calculate (-2)/(-2*((-8)/(-16) - 1)).
-2
Calculate -7*(119/(-49) - -2).
3
Evaluate (2/(-5))/((-10)/75).
3
What is (-3)/5 - (-2 + 153/120)?
1/8
Calculate -3 - (-4 - -1)*-1.
-6
Evaluate -7*38/(-420) - (-8)/(-10).
-1/6
(-1)/(-5)*(21 - 36)
-3
2/14 + (-296)/259
-1
What is 6/((-8)/(8/(-2)))?
3
What is (7 - 7)/(-1 + -1)?
0
What is 1/(-4) + 77/28?
5/2
Calculate (36/42)/(15/(-70)).
-4
What is the value of (4/3)/(1/3)?
4
What is the value of (-3)/(1/(5*(-5)/(-25)))?
-3
Calculate (-14)/(42/(-39)) + -7.
6
Calculate ((-4)/112*-8)/(-2).
-1/7
What is the value of 1/((-8)/28 - 30/42)?
-1
What is the value of (-90 - -82)/(3/(-1 - 2))?
8
What is the value of -1 + 9 + -1 + -8?
-1
What is the value of ((-200)/180)/((-2)/3)?
5/3
Calculate -11 - 1956/720*-4.
-2/15
What is 12 + (-464)/32 + 1*4?
3/2
What is (-13)/6 + 26/13?
-1/6
Evaluate ((-8)/(-7))/(23/((-644)/(-8))).
4
Calculate (9/(-6))/(5 + 99/(-36)).
-2/3
Calculate (8/10)/((-44)/110).
-2
288/(-45) - 1/(15/(-6))
-6
(-140)/8*(48/21)/(-4)
10
14/8 - (-2 - 7/(-4))
2
What is 10 - (-2882)/(-275) - 4/(-10)?
-2/25
What is the value of 116/(-16) + (-3)/(-12)?
-7
What is ((-42)/27*3)/((-20)/(-30))?
-7
Calculate ((-4)/6)/((-6)/(-45)).
-5
(10 - 249/24)/((-12)/8)
1/4
What is the value of (141 + -129)*(-1)/10?
-6/5
What is ((-1)/44)/(10/120)?
-3/11
What is ((-18)/(-4) + -2)*76/(-475)?
-2/5
What is the value of 61/40 + -1 + (-338)/845?
1/8
Calculate (-222)/57 - 4/38.
-4
What is the value of 13 + 481/(-39) + 29/(-12)?
-7/4
(-8)/(256/144)*(-4)/3
6
Calculate (-6)/4*1*12/18.
-1
Evaluate -2*6/4*4/(-6).
2
What is 1 - ((-3)/(-27))/((-34)/153)?
3/2
(14/9)/((-364)/1638)
-7
What is (-2)/(-9) + ((-3416)/(-72))/7?
7
Evaluate 1 - (-1)/((-1)/4).
-3
Evaluate (-24)/(-40) + (-56)/10.
-5
What is the value of (-43)/215 + -1*23/(-65)?
2/13
Evaluate (6/50*-1)/(531/(-590)).
2/15
((-35)/(-21))/(20/12)
1
What is (-261)/27 + 8 + (-14)/(-3)?
3
What is the value of 0/(-10) - 6 - 1*-1?
-5
(-2)/(-10)*(-12 - 232/(-16))
1/2
Calculate 128/24 + ((-4)/3 - -1).
5
Calculate ((-16)/(-14))/2*14/4.
2
((-1)/(-2))/((-30)/(-12))
1/5
Evaluate (-2)/(-10) + 72/90.
1
Evaluate ((-1)/6)/((-4)/30).
5/4
What is ((-20)/(-420))/(2*(-5)/(-90))?
3/7
(-6)/18*-6 + -5
-3
Calculate (-10)/55 + 31/(-11).
-3
(2/(-9) - 110/(-90))*0
0
What is -1 + (-9)/(-4) + 390/520?
2
Calculate (-4)/3*(-81)/270*-15.
-6
Evaluate (6/(-22))/(39/(-13)).
1/11
(-18)/(-8)*48/36
3
((-94)/(-987))/((-6)/14)
-2/9
What is the value of (-3)/(-9)*(15 - 36)?
-7
What is the value of -8 + (-3 + 6)/1?
-5
Calculate -6 + 11 - 21/4.
-1/4
Evaluate (5/(-27))/(855/(-1026)).
2/9
Evaluate (9 - (-856)/(-96))/((-3)/27).
-3/4
Evaluate 1/3*9 - 11.
-8
What is the value of (10/16 + -1)*(-53)/(-318)?
-1/16
What is the value of 4/10 + 20/75?
2/3
(51/30 - 2)*2
-3/5
What is the value of -3*(12/(-16) - (-5)/4)?
-3/2
What is 4 + (-102)/12 + (-4)/(-1)?
-1/2
What is ((-10)/(-15) - 0)*3?
2
What is the value of (-2)/((-36)/15 - 0 - -2)?
5
What is the value of (-60)/(-18) + 8/12?
4
(-1)/((-27)/6 - -3)
2/3
What is ((-203)/35 - -6)*2?
2/5
Calculate 3/6 + (161/(-42))/23.
1/3
What is 0 - ((13 - 11) + -3 + -1)?
2
What is the value of 0/(-4) - (-8 - 40/(-5))?
0
Calculate (1 - 1) + (75/(-20))/15.
-1/4
Evaluate 65/55 - 4/22.
1
What is ((-1)/2)/(-3 - (-9)/12)?
2/9
1/5 + 462/(-110)
-4
Calculate (-1 + 2)/((-10)/50).
-5
Calculate 1/((-5)/(-15))*1/(-4).
-3/4
Evaluate 5 - (-3 - (-8 - -3)).
3
What is the value of (-135)/15 - (-176)/20?
-1/5
Calculate (100/(-14))/(-10)*(-4)/(-5).
4/7
Evaluate 1476/459 + -3 - (-4)/34.
1/3
((-6)/4)/3 - (-11)/14
2/7
What is 2 - 21/12 - (-38)/(-56)?
-3/7
1/(-3) + (6/3 - 2)
-1/3
Evaluate ((-3)/(-12))/(8/64) - -1.
3
Evaluate (-1)/(-153) + 14/126.
2/17
What is the value of (40/(-24))/((-1)/3)?
5
What is the value of (-7)/(-5) + (-990)/600?
-1/4
What is 9/63 + 8/140?
1/5
Calculate (-2160)/(-3192) - (-2 - 18/(-7)).
2/19
(-50)/(-4)*(5 - (-161)/(-35))
5
What is ((-7)/28)/((-25)/(-80))?
-4/5
Evaluate (-24)/(-182) - 10/35.
-2/13
0*1/(-3)*-3
0
Evaluate 8/(-4) + 6 + 4/2.
6
-6*((-24)/9 - (7 - 10))
-2
(-1)/(-4)*1176/126
7/3
Calculate ((-95)/10 - -5)/(6/(-4)).
3
Evaluate 6*(-36)/32 + 7.
1/4
What is the value of (10 - 5)/(-5)*0?
0
(-6)/4 + -1*13/(-2)
5
Evaluate (-12)/15*(-65)/182.
2/7
Calculate 2 - ((-65)/10 - -6).
5/2
(-177)/3*14/(-112) - 7
3/8
16/(-64)*1/(-1)
1/4
Evaluate (-2)/(-44)*-5*(-108)/(-135).
-2/11
Calculate 36/16*(-1)/6.
-3/8
-1 - (18/(-15))/(72/240)
3
Evaluate 3*((-4)/(-42) - 125/210).
-3/2
Evaluate 4/((-96)/(-9)) + (-259)/(-56).
5
Evaluate (64/64)/(-1 + -7).
-1/8
What is (((-270)/20)/(-27))/((-5)/(-4))?
2/5
Evaluate ((-14)/8)/((-30)/(-120)).
-7
Evaluate ((-10)/(-22))/(-5)*(-1 + -1).
2/11
((-258)/(-120) - 2/(-8)) + -2
2/5
What is the value of (-12)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
e third derivative of 3*p**r - 3*p**2 + 4*p**2 + 2*p**2 wrt p?
180*p**2
Let t be 8/6 + (-2)/(-3). Suppose 2*y + 8 = t*x, 0*y - y - 20 = -5*x. Find the second derivative of f + 3*f**4 - 5*f**x - 3*f wrt f.
-24*f**2
Let s(b) be the third derivative of -b**8/24 - 7*b**4/12 + 16*b**2. What is the second derivative of s(g) wrt g?
-280*g**3
Let z(b) be the second derivative of 31*b**5/20 + 7*b**3/2 + 13*b. Find the second derivative of z(m) wrt m.
186*m
What is the third derivative of -17*t**2 - 16*t**5 - 7*t**5 - 2*t**2 wrt t?
-1380*t**2
Let r be (-3)/(-2 - 1) - 1. Find the first derivative of -1 + t**2 - t**2 + 2*t**4 + r wrt t.
8*t**3
Let s = -15 - -11. Let y be (-50)/(-18) + s/(-18). Find the third derivative of j**2 - y*j**5 - 4*j + 4*j wrt j.
-180*j**2
Let g be 6/42 + 55/7. Find the third derivative of 0*c**2 + c**2 + 0 + g*c**4 + 0 wrt c.
192*c
Let d(c) be the third derivative of 0*c**4 + 0*c + 1/3*c**3 + 0*c**5 + 1/105*c**7 + 0*c**6 + 0 - 2*c**2. Find the first derivative of d(z) wrt z.
8*z**3
Let u be ((-3)/(-2) - 2)*-8. Let l be (4/(-2))/(-2)*1. Differentiate -i - i + l + u*i wrt i.
2
Suppose 5*g + 0*b = -2*b + 26, -5*g = -b - 17. Suppose g*a - 3*l - 5 = -2*l, -3*l = 15. Differentiate a - d - 1 + 0 with respect to d.
-1
Let w = 176 + -173. Let f(s) be the third derivative of 0*s**w + s**2 + 0 + 0*s**5 + 1/40*s**6 + 0*s - 1/6*s**4. Find the second derivative of f(o) wrt o.
18*o
Suppose y + 11 = 5*m, 2*m + 4*y - y = 1. Find the third derivative of i**2 + 2*i**2 + 2*i**m + 4*i**3 - i**2 wrt i.
24
Let j(r) = -r. Let o be (-1)/4*(-12 + 8). Let u(c) = -4*c - 6. Let p(t) = o*u(t) - 8*j(t). Differentiate p(g) with respect to g.
4
Differentiate 17 - 27 + 7*s + 10*s wrt s.
17
Let c(l) be the second derivative of 17*l**5/10 - l**4/3 + 18*l. Find the third derivative of c(r) wrt r.
204
Let p = -8 + 6. Let q be -1 + 7 + -1 + p. Find the second derivative of -3*s - 3*s + 7*s + s + q*s**2 wrt s.
6
Let u(y) = y**2 + 6*y - 5. Let s be u(-7). Find the second derivative of -4*j**3 + j**2 - j**2 + 2*j + 0*j**s wrt j.
-24*j
Let l(t) be the first derivative of 3*t - 3/4*t**4 + 0*t**3 + 1 + 0*t**2. What is the first derivative of l(i) wrt i?
-9*i**2
Let s(o) = -5*o**2 + 6*o - 4. Let c be 2/(1*(-2)/4). Let z(u) = 14*u**2 - 17*u + 11. Let w(h) = c*z(h) - 11*s(h). What is the second derivative of w(t) wrt t?
-2
Let w = -14 + 16. Let t(h) = -h**2 - 3*h + 2. Let z be t(-3). Differentiate 4 - w - i**3 - z*i**3 - 3 wrt i.
-9*i**2
Let m(l) be the second derivative of 0*l**2 + 1/21*l**7 - 1/2*l**3 - 3*l + 0 + 0*l**6 + 0*l**4 + 0*l**5. What is the second derivative of m(z) wrt z?
40*z**3
Let r(a) = a**3 - a**2 + a - 2. Let z be r(0). Let i = z - -4. What is the second derivative of 2*c + 0*c - c**i + 0*c**2 wrt c?
-2
Let h(y) be the first derivative of 3 + 3*y + 0*y**3 + 3/4*y**4 + 0*y**2. Differentiate h(q) wrt q.
9*q**2
Let y be (-3 + 0)*(-8)/6. Find the second derivative of m - m**2 - y*m**2 + 2*m + 6*m**2 wrt m.
2
Let o(q) be the third derivative of 0 + 1/8*q**4 + 0*q**6 + 6*q**2 + 0*q**3 + 0*q - 1/105*q**7 + 0*q**5. Find the second derivative of o(b) wrt b.
-24*b**2
Let z(o) be the second derivative of 5*o**7/21 + 5*o**3/6 + 9*o. Find the second derivative of z(l) wrt l.
200*l**3
Let s(b) be the second derivative of -3*b**5/5 - 23*b**4/6 + 44*b. Find the third derivative of s(v) wrt v.
-72
Suppose -m = m - 8. Suppose -m*h = -13 - 7. What is the derivative of -8 + h - 2*n - n**3 + 2*n wrt n?
-3*n**2
Let f = -9 + 10. Let s(d) = -1. Let q(x) = 3*x**4 - 15. Let j(h) = f*q(h) - 18*s(h). Find the first derivative of j(m) wrt m.
12*m**3
Find the second derivative of o - 15*o**3 - 4*o + 0*o**3 wrt o.
-90*o
Let c(p) be the first derivative of -p**8/840 + p**5/60 + p**3 - 2. Let u(h) be the third derivative of c(h). What is the second derivative of u(j) wrt j?
-24*j**2
Let g(p) = -5*p**3 + 3*p**2 - 4*p - 4. Let c(u) = -5*u**3 + 2*u**2 - 5*u - 5. Let n(y) = -4*c(y) + 5*g(y). What is the third derivative of n(o) wrt o?
-30
Let t(c) = 32*c**3 + 6*c**2 - 3*c - 3. Let g(s) = s**3 - s - 1. Let u(q) = -3*g(q) + t(q). What is the third derivative of u(x) wrt x?
174
Let y(g) = -16*g - 13. Let k(w) be the first derivative of 5*w**2/2 + 4*w + 3. Let o(r) = 7*k(r) + 2*y(r). Differentiate o(i) with respect to i.
3
Let q(h) be the second derivative of -h**7/840 + h**6/360 - 4*h**3/3 + h. Let g(a) be the second derivative of q(a). Find the third derivative of g(d) wrt d.
-6
Let c(h) be the second derivative of -8*h**6/15 - 5*h**3/6 + 7*h. Find the second derivative of c(a) wrt a.
-192*a**2
Let f(g) be the second derivative of -5*g + 1/4*g**4 + 0*g**5 - 1/7*g**7 + 0 + 0*g**6 + 0*g**2 + 0*g**3. Find the third derivative of f(w) wrt w.
-360*w**2
Let x(j) be the second derivative of -4*j**6/15 - 2*j**2 + 4*j. What is the first derivative of x(h) wrt h?
-32*h**3
Let p(g) be the third derivative of 0*g**4 + 0*g + 0 - 1/15*g**5 + 2*g**2 - 1/6*g**3. Differentiate p(m) wrt m.
-8*m
Let m be (-20 - 1)/(-3) + 2. Suppose 6 = 5*q - m. What is the derivative of 2*i**4 - q*i**4 - 1 + 2 wrt i?
-4*i**3
Suppose 2*z - j - 16 = -3*z, 2*j = -2. Differentiate 3 + 3 - 3*v**2 - z wrt v.
-6*v
Differentiate 169 - 150 + 0*p + 0*p - 2*p**4 wrt p.
-8*p**3
Suppose 0 = -3*m - 2*m + 10. What is the third derivative of -3*f**2 - 3*f**4 - 4*f**4 - 6*f**2 + 2*f**m wrt f?
-168*f
What is the third derivative of 1 + 5*g**4 - 7*g**2 - 1 wrt g?
120*g
Suppose -3*l + 10 = -5*l - 4*w, -3*w - 10 = l. What is the first derivative of l - 7*o + 3*o - 4*o**2 + 4*o wrt o?
-8*o
Let o(z) = z**4 + z**2. Let k(s) = -8*s**5 + 4*s**4 + 4*s**2 - 9*s. Let a(h) = k(h) - 4*o(h). What is the second derivative of a(b) wrt b?
-160*b**3
Let o be 2 - (-2 + 3)*-1. Find the second derivative of 0*x**3 + 5*x**o - 4*x**3 - 5*x wrt x.
6*x
What is the third derivative of -1 + 10*p**5 - 140*p**2 + 1 + 145*p**2 wrt p?
600*p**2
Let p(z) = z**3 + z**2 - 1. Let i(t) = -7*t**4 + 6*t**3 + 4*t**2 - 6. Let l(f) = i(f) - 6*p(f). What is the third derivative of l(w) wrt w?
-168*w
Let i = 3/4 + -3/5. Let n(s) be the second derivative of 0 + i*s**5 + 0*s**3 + 0*s**4 - 2*s + 1/2*s**2. What is the first derivative of n(q) wrt q?
9*q**2
Suppose x = -3*x. Let f = -18 - -21. What is the third derivative of -3*a**5 + x*a**2 - 4*a**2 + f*a**2 wrt a?
-180*a**2
Let n(o) be the third derivative of 5*o**2 + 0*o**3 + 0*o + 1/24*o**4 + 0 + 0*o**5 + 1/24*o**6. Find the second derivative of n(g) wrt g.
30*g
Let k(l) = -9*l**2 - 5*l + 6. Suppose 0*v = -5*v + 25. Let y(a) = -8*a**2 - 4*a + 5. Let o(d) = v*k(d) - 6*y(d). What is the second derivative of o(w) wrt w?
6
Let y(f) = 31*f**3 - f**2 - 4*f + 8. Let z(l) = 62*l**3 - 2*l**2 - 7*l + 17. Let m(a) = -7*y(a) + 4*z(a). Find the third derivative of m(d) wrt d.
186
Let g = -22 + 25. Let u(n) be the third derivative of 1/2*n**g + 0*n + 1/20*n**5 + 0*n**4 - 3*n**2 + 0. What is the first derivative of u(m) wrt m?
6*m
Suppose 3*m + 3*t - 9 = -2*t, 0 = -2*m - 5*t + 6. Find the third derivative of -4*r**3 - r**2 - 2*r**m - 2*r**2 + 4*r**3 wrt r.
-12
Let o be (1 - (-1)/2)*-2. Let j = o - -5. What is the derivative of -j*d + 0 + 0 + 1 wrt d?
-2
Let q(g) be the first derivative of -15*g**4/4 - 2*g**3 + 12. Find the third derivative of q(c) wrt c.
-90
Let q(d) be the first derivative of -2/3*d**3 + 4 + 0*d + 0*d**4 + 4/5*d**5 + 0*d**2. Find the third derivative of q(j) wrt j.
96*j
Suppose -4*d + 9 + 11 = 0. Find the third derivative of 3 - 13*h**2 + 5*h**2 - 3 - d*h**3 wrt h.
-30
What is the third derivative of -6*r**2 + 14*r**2 + 12*r**5 + r**2 wrt r?
720*r**2
Let y(x) = -x**2 - 5*x. Let v be y(-4). What is the first derivative of -5*o**v - 3 + 0*o**4 + 0 + 2*o**4 wrt o?
-12*o**3
Suppose -19 - 8 = -3*y. Let d(q) = 0*q**3 + 9*q**2 - 8 + 4*q**3 + 1. Let p(k) = 2*k**3 + 4*k**2 - 3. Let r(h) = y*p(h) - 4*d(h). Differentiate r(t) wrt t.
6*t**2
Let w(f) be the second derivative of f**5/2 - f**3/2 + 13*f. Find the second derivative of w(v) wrt v.
60*v
Let x(q) = -q**2 - 8*q + 7. Let k be x(-7). Find the first derivative of -8 - k*a**2 + 14*a**2 + a**3 wrt a.
3*a**2
Let t(s) = -7*s**4 - 25*s**2 + 11. Let c(h) = -4*h**4 - 13*h**2 + 6. Let a(g) = 11*c(g) - 6*t(g). Find the third derivative of a(o) wrt o.
-48*o
Let i(z) be the first derivative of 4*z**5 -
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3)*-3. Let z(p) = -10*p**2 + y*p**2 - p**2. Let w(v) = -2*v. Determine z(w(s)).
-32*s**2
Let s(r) = -11*r. Let j(v) be the third derivative of v**4/8 + 23*v**2. What is j(s(i))?
-33*i
Let l(y) = 58*y. Let q(d) = -2*d**2. What is q(l(i))?
-6728*i**2
Let p(a) = 8*a. Let c(h) = -h. Let u(i) = -6*c(i) - p(i). Let w(g) be the first derivative of -6 + 4 + 1 - g**2. What is u(w(j))?
4*j
Let w(n) = -8*n. Let y(m) = 7*m - 1. Give w(y(v)).
-56*v + 8
Let n(x) = -3*x**2 - 2 + 0*x**2 - x + 0*x + 3*x. Let q(u) = 7*u**2 - 5*u + 5. Let w(m) = -5*n(m) - 2*q(m). Let f(d) = -3*d**2. Determine w(f(g)).
9*g**4
Let a(r) = 4*r. Let k(h) = -7*h. Let w(l) = 11*l. Let v(o) = 8*k(o) + 5*w(o). Determine v(a(g)).
-4*g
Let f(h) = 2*h - 2051. Let m(q) = 3*q. Give f(m(t)).
6*t - 2051
Let a(l) = 7*l + 818. Let q(z) = -2*z. Give a(q(v)).
-14*v + 818
Let c(i) = 5*i**2 - 6. Let u(p) = -9*p**2 + 11. Let v(x) = -11*c(x) - 6*u(x). Let h(q) = -2*q**2. Determine v(h(o)).
-4*o**4
Let c(y) = 977*y. Let m(n) = n. Determine m(c(i)).
977*i
Let x(f) = f. Let g(m) = -2440*m**2. Determine x(g(n)).
-2440*n**2
Let m(g) = -5*g. Let q(j) = -10*j - 9*j**2 + 13*j - 3*j. Determine m(q(p)).
45*p**2
Let m(k) be the second derivative of -k**5/60 + k**3 + 3*k. Let d(z) be the second derivative of m(z). Let l(g) = 2*g**2. Determine d(l(o)).
-4*o**2
Let f(l) = -3*l**2. Let t(h) be the second derivative of h**4/12 - 3*h**2/2 - 2*h. Let w(y) be the first derivative of t(y). Give f(w(n)).
-12*n**2
Let m(d) = -d - 1. Let b be m(-1). Suppose b*o = o. Let j(z) = o*z**2 + 3*z**2 - 2*z**2. Let c(p) = -2*p. Calculate j(c(i)).
4*i**2
Let f(u) be the second derivative of u**4/6 - 2*u. Let l(b) = -25*b + 30. Let y(d) = -d + 1. Let k(w) = l(w) - 30*y(w). Determine k(f(x)).
10*x**2
Let g(t) = 67*t**2 - 141*t**2 + 66*t**2. Let k(m) = -3*m**2 + 2*m. Let w(p) = 10*p**2 - 7*p. Let h(f) = -7*k(f) - 2*w(f). What is g(h(b))?
-8*b**4
Let z(o) = 1. Let u(h) = -h - 3. Let l(g) = u(g) + 3*z(g). Let f(p) = -3*p**2. Determine f(l(q)).
-3*q**2
Let j(x) = -5*x**2. Let w(k) be the second derivative of 0*k**2 + 0 + 4*k + 1/6*k**3. Calculate j(w(r)).
-5*r**2
Let u(z) = -376*z**2. Let w(n) = -6*n**2. Give w(u(b)).
-848256*b**4
Suppose -2*l + 4 = -l. Suppose -k = k - l. Let d(q) = k*q - 7*q + 3*q. Let f(h) = -h. Determine d(f(u)).
2*u
Let r(h) be the third derivative of h**8/4032 + h**5/30 - 3*h**2. Let g(i) be the third derivative of r(i). Let v(z) = 2*z**2. Calculate g(v(m)).
20*m**4
Let i(y) = 20*y**2 + 2 + 0 - 2. Let a(o) = 2*o**2. Determine a(i(j)).
800*j**4
Let l(x) be the third derivative of x**4/12 + 7*x**3/6 - 2*x**2. Let k(i) = i. Give l(k(o)).
2*o + 7
Let o(i) = i. Let c(d) be the second derivative of -d**4/6 - 3*d. Give c(o(k)).
-2*k**2
Let f(a) = -2*a - 16. Let n(o) = 8*o. Give n(f(m)).
-16*m - 128
Let u(n) = 17*n. Let v(j) = 8*j**2. Determine v(u(o)).
2312*o**2
Let n(l) be the first derivative of l**3/3 - 3. Let z(s) = -3*s**2 + s**2 - 3*s**2. Calculate z(n(u)).
-5*u**4
Let i(m) = -2*m**2. Let v(h) = -3*h + h - 8*h - 8*h. What is v(i(x))?
36*x**2
Let f(m) = -1395*m**2. Let h(p) = 4*p. Give h(f(s)).
-5580*s**2
Let m(t) be the third derivative of t**5/30 - 4*t**2. Let z(s) = -11*s**2. Calculate z(m(f)).
-44*f**4
Let x(f) = f**2. Suppose 2*k + y - 1 = 0, -4*k - 3*y - 5 = -2*k. Let o = -11 + 14. Let c(l) = o*l**2 + 0*l**2 + l**2 - k*l**2. What is x(c(p))?
4*p**4
Let d(h) = -h. Suppose -15 = -5*x - 5. Suppose f + 4 = 5*l - 12, -x*f + 13 = 5*l. Let p(z) = -2 + 3 - 1 + l*z**2. Calculate p(d(g)).
3*g**2
Let i(p) = -5*p. Let f(x) = -1. Let b(y) = 2*y - 5. Let n(j) = b(j) - 5*f(j). Give n(i(z)).
-10*z
Let r(s) = -41*s + 3. Let n(l) = l**2. Give n(r(m)).
1681*m**2 - 246*m + 9
Let d(g) = 184*g**2. Let r(x) = -7*x**2. Determine d(r(j)).
9016*j**4
Let i(r) = 2*r. Let y(o) = -3751*o**2. What is y(i(z))?
-15004*z**2
Let x(o) = -2*o**2 - 2*o. Let c(g) = 19*g. What is c(x(z))?
-38*z**2 - 38*z
Let k(d) = 2*d**2. Let b be 2 - 2*9/(-6). Suppose -21 = -b*v + 2*v. Let m(y) = 7 + y - v. Determine m(k(o)).
2*o**2
Let p(m) = 2*m. Suppose -5*f + 0*f + 20 = 0. Let y(b) = b + 4. Let l = -12 + 9. Let v(h) = 3. Let o(a) = f*v(a) + l*y(a). What is o(p(c))?
-6*c
Let r(q) = 24*q**2 + 1. Let d(t) = -8*t**2. What is d(r(v))?
-4608*v**4 - 384*v**2 - 8
Let p(h) = -5*h**2. Let k(s) = -s - 89. Determine k(p(l)).
5*l**2 - 89
Let u(p) = -926*p. Let a(g) = 8*g**2. Give a(u(x)).
6859808*x**2
Let p(l) be the third derivative of 1/30*l**5 + 0*l + 5*l**2 + 0*l**4 + 0 + 0*l**3. Let s(j) = -3*j**2. Determine p(s(b)).
18*b**4
Let j(g) = g. Let d(c) = 133*c**2 + 38*c - 19. Let o(i) = -44*i**2 - 12*i + 6. Let h(b) = -6*d(b) - 19*o(b). What is h(j(u))?
38*u**2
Let a(j) = 24*j - 33. Suppose -139 = -5*i + 26. Let u(o) = -3*o + 4. Let b(d) = i*u(d) + 4*a(d). Let k(n) = -2*n. Calculate b(k(h)).
6*h
Let a(p) = -p. Suppose -b = 3*b + 16. Let l(v) = 5*v. Let k(w) = b*a(w) - l(w). Let s(r) = 5958 - 5958 + r**2. Give s(k(m)).
m**2
Let k(w) = -67*w**2. Let o(c) = 8*c**2 + 3. What is k(o(g))?
-4288*g**4 - 3216*g**2 - 603
Let j(c) = -227*c. Let u(y) = 41*y. Give j(u(w)).
-9307*w
Let l(a) = 2*a**2. Let c(t) = 9 - 15*t - 19 + 9. Determine l(c(m)).
450*m**2 + 60*m + 2
Let y(p) = 2*p**2. Let r(k) be the second derivative of 0*k**2 + 0 - 3*k - 1/3*k**3. What is y(r(t))?
8*t**2
Let j(x) = 2*x**2. Let t(k) = -2*k**2 - 3*k + 154. What is t(j(v))?
-8*v**4 - 6*v**2 + 154
Let y(l) = 6*l. Let s(p) = 48*p. What is y(s(t))?
288*t
Let n(i) = -4*i**2. Let y(f) be the second derivative of 0 + 0*f**2 - 2*f - 1/3*f**4 + 0*f**3. What is y(n(p))?
-64*p**4
Let f(l) = 14*l**2 - 4*l. Let o(r) = r. Calculate o(f(v)).
14*v**2 - 4*v
Let f be (18/10)/((-2)/(-10)). Let s(l) = 9 - f - l. Let m(q) = 2*q**2. Calculate s(m(x)).
-2*x**2
Let y(f) = -f. Let v(m) = -2539*m**2 + 2*m. Determine y(v(x)).
2539*x**2 - 2*x
Let i(l) be the second derivative of 4*l**3/3 + 4*l. Let w(m) = 3*m. Let c(f) = -2*i(f) + 7*w(f). Let t(y) = -y. Determine t(c(p)).
-5*p
Let k(g) = 10*g. Let u(l) = -18*l. Let q(n) = -11*k(n) - 6*u(n). Let m(b) = 33*b**2. Give q(m(x)).
-66*x**2
Let w(j) = 3*j**2. Let o(f) be the second derivative of 2*f**4/3 + 13*f. Give o(w(s)).
72*s**4
Let k(m) = -2*m. Let t(w) = -5*w - 14*w + 10*w. Determine k(t(q)).
18*q
Let g(k) be the second derivative of -k**4/6 + 2*k. Let t(n) = 3*n**2 - 3*n**2 + 6*n**2. Determine g(t(s)).
-72*s**4
Let u(s) = -s**3 - 4*s**2 + 4*s - 1. Let t be u(-5). Let f(g) = -t*g + 3*g - 3*g. Let a(j) = -2*j**2. Give a(f(p)).
-32*p**2
Let s(q) = -10*q**2 + 55*q. Let d(m) = m**2 - 6*m. Let g(b) = 55*d(b) + 6*s(b). Let v(k) be the third derivative of k**4/12 + 3*k**2. Calculate g(v(z)).
-20*z**2
Let a(u) = -158*u. Let y(f) = f**2. Calculate a(y(z)).
-158*z**2
Let l(d) = -3*d - d + 5*d - 3*d. Let t(u) = 4*u. Calculate l(t(q)).
-8*q
Let h(j) = 2*j - 27 + 27. Let g(a) = 16*a**2. Determine h(g(t)).
32*t**2
Let d(l) = 4*l. Let x(y) be the first derivative of 2*y**3/3 + 4. Determine x(d(f)).
32*f**2
Let r(t) = 17*t + 4. Let u(b) = 799*b + 187. Let j(x) = -187*r(x) + 4*u(x). Let s(f) = -2*f**2. Give s(j(w)).
-578*w**2
Let a(y) = -16*y. Let u(p) = -p**2 + p + 1. Let r(v) = 2*v**2 - 4*v - 4. Let b(h) = -r(h) - 4*u(h). Determine b(a(j)).
512*j**2
Let q(a) = 5*a. Let n(z) = 1. Let w(v) be the first derivative of v**2/2 - v + 2. Let s(r) = -2*n(r) - 2*w(r). Calculate q(s(p)).
-10*p
Let q(z) = z**2. Let a(u) = 9*u**2 + 3. Let h(r) = -44*r**2 - 14. Let g(b) = -28*a(b) - 6*h(b). What is g(q(m))?
12*m**4
Let b(u) = -2. Let m(i) = -i + 1. Let r(c) = b(c) + 2*m(c). Let y(w) = -7*w. Give y(r(k)).
14*k
Let w(f) = f. Let q(z) be the third derivative of 0 - 2*z**2 + 0*z**4 + 0*z + 1/30*z**5 + 0*z**3. Determine q(w(x)).
2*x**2
Let r(c) = 19*c**2. Let d(z) be the third derivative of z**4/12 - 16*z**2. Calculate r(d(y)).
76*y**2
Let z(v) = -v. Let d(a) = -61*a. Determine d(z(b)).
61*b
Let t(q) = -q**2. Let u be (5 + -3)/(-6)*33. Let b(a) = -14*a + 11. Let k(i) = 5*i - 4. Let z(x) = u*k(x) - 4*b(x). Determine t(z(o)).
-o**2
Let b(p) = -9*p**2. Let y(l) = -10*l - 11. Let v(x) = x + 1. Let i(u) = -22*v(u) - 2*y(u). Calculate b(i(h)).
-36*h**2
Let a(z) = -2*z. Let p(g) = g**2 + 30*g. Give a(p(o)).
-2*o**2 - 60*o
Let j(h) = 5*h. Suppose 2*a + 3*a - 45 = 0. Let c(f) = -9*f + a*f - f**2 + 0*f**2. Calculate c(j(o)).
-25*o**2
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
r*l(g) + w*p(g).
-g
Let i(f) be the third derivative of -f**4/24 - f**3/6 + f**2 + 716. Let l(j) = -11*j + 5. Give -6*i(a) - l(a).
17*a + 1
Let x(w) be the first derivative of -7*w**2/2 - 4*w + 2. Let m(z) = 2 - 17 + 50538*z + 50522*z - 101087*z. Give 4*m(v) - 15*x(v).
-3*v
Let c be 973/15290*-55*3*(-10)/21. Let a(y) = -y - 15. Suppose -t = -4*u + 4, -2*u + 70 = 5*t + 24. Let q(o) = 2*o + 23. What is c*q(v) + t*a(v)?
2*v - 5
Let o(b) = b. Suppose 5*w - 117 = -2. Suppose -3*z - 4*u + w = 0, 9*z - u = 14*z - 10. Let q(h) = 5*h + 1. Give z*q(y) - 6*o(y).
-y + 1
Let d(x) = -2*x + 2. Let z(h) = -328*h - 10. What is 4*d(t) + z(t)?
-336*t - 2
Let r(a) = 7*a**2 - 1 - 2*a**2 + 0*a - 6*a**2 - 14*a + 15*a. Suppose v + 0*v - 6 = 0. Let s(z) = -7*z**2 + 5*z - 7. What is v*r(n) - s(n)?
n**2 + n + 1
Let p(m) = -5*m**2 - 6*m. Let f(t) = t**2 + t. Let d(o) = 11*f(o) + 2*p(o). Let g(b) = 7*b**2 - 4*b - 2. Let a = 5861 + -5865. Calculate a*d(r) + g(r).
3*r**2 - 2
Let c(f) = -7 - 3*f - 5*f - 2*f + 12*f - 7*f. Let m(a) = a**2 - 6*a - 8. Calculate 6*c(u) - 5*m(u).
-5*u**2 - 2
Let p(z) = 144*z**3 + 2*z**2 + 88*z + 14. Let c(v) = 12*v**3 + v + 1. Calculate -11*c(r) + p(r).
12*r**3 + 2*r**2 + 77*r + 3
Let o(h) = -560*h - 50975. Let g be o(-91). Let n(y) = -3*y. Let m(q) = 39*q - 33. Let u(z) = -z + 1. Let i(l) = 2*m(l) + 66*u(l). Calculate g*n(x) - 4*i(x).
-3*x
Let h(f) = -26*f - 60. Let n(w) = -74*w - 178. Calculate -14*h(d) + 5*n(d).
-6*d - 50
Let b(p) = 37*p + 61. Let g(z) = -34*z - 62. Determine 6*b(n) + 7*g(n).
-16*n - 68
Let m(d) be the second derivative of d**5/20 - d**4/12 + d**2/2 + 9173*d. Let l(u) = -3*u**3 + 5*u**2 - 3*u - 3. Determine l(q) + 4*m(q).
q**3 + q**2 - 3*q + 1
Suppose 8*g - 5*g - 6 = 0. Let u(t) = t**3 + 5*t**2 + t. Let o(i) be the first derivative of i**4/4 + i**3/3 + i**2/2 - 1. Give g*o(y) - u(y).
y**3 - 3*y**2 + y
Let c(w) = -15*w**2 - 10604*w. Let d(z) = -6*z**2 - 4241*z. Give -5*c(s) + 12*d(s).
3*s**2 + 2128*s
Let g(c) = 13*c**2 + 5*c - 6. Let r(s) = -12*s**2 - 4*s + 7. Give 4*g(q) + 5*r(q).
-8*q**2 + 11
Let z(p) = -6*p - 1. Let q(o) = 2*o - 8. Let i(k) = -k + 3. Let h(c) = 8*i(c) + 3*q(c). Let w(y) = -2 + 0*y + 6 - 3*y + y. Let x be w(3). Give x*z(u) + 7*h(u).
-2*u + 2
Let f(i) = -9*i**2 - 2*i + 5. Let p(k) = 2*k**3 - 11*k**2 - k + 6. What is -5*f(h) + 4*p(h)?
8*h**3 + h**2 + 6*h - 1
Suppose 351*k - 902 + 30 = -170. Let h(d) = -5*d - 1. Let f(j) = 11*j + 2. Calculate k*f(n) + 5*h(n).
-3*n - 1
Let u(z) = z**2 + 16*z - 6. Let v(h) be the third derivative of -h**4/24 - h**3/6 - 2*h**2 + 1868*h. Give -u(p) + 6*v(p).
-p**2 - 22*p
Let g(x) = 9*x**3 - 28*x**2 + 11*x - 12. Let j(f) = -5*f**3 + 14*f**2 - 6*f + 7. What is 6*g(m) + 11*j(m)?
-m**3 - 14*m**2 + 5
Let j(s) = 2*s**2 - 5*s + 1. Suppose -222*w = -218*w + 4*r - 32, -r - 12 = -3*w. Let g(k) = -k - 1. What is w*g(x) - j(x)?
-2*x**2 - 6
Let w(f) be the second derivative of 3*f**4/4 - f**3/6 + 4*f**2 - f + 3831. Let z(v) = 14*v**2 - 2*v + 12. Give 8*w(d) - 5*z(d).
2*d**2 + 2*d + 4
Let m(x) = -160*x + 336. Let u(j) = -3*j + 10. Calculate 6*m(v) - 204*u(v).
-348*v - 24
Let l(f) = -21*f**2 + 6*f - 161. Let n(c) = -44*c**2 + 13*c - 324. Calculate -13*l(q) + 6*n(q).
9*q**2 + 149
Let p(s) = 9*s + 1. Let v(l) = -353*l - 9. What is -6*p(k) - v(k)?
299*k + 3
Let i(j) = 0*j**2 + j**2 + 2 - 1. Let u = 4 + -9. Let y(o) = 1 + 6 - 37*o - 6 + 2 - 6 + 36*o - 3*o**2. What is u*i(n) - y(n)?
-2*n**2 + n - 2
Let s(o) = -81*o**3 + 6*o**2 + o - 42. Let c(m) = 82*m**3 - 7*m**2 - 3*m + 49. What is 6*c(f) + 7*s(f)?
-75*f**3 - 11*f
Suppose -20*u - 32 = 68. Let s(d) = -60*d**2. Let b(o) = -5*o**2 + 3*o**2 - 6*o**2 - 3*o**2. What is u*s(x) + 28*b(x)?
-8*x**2
Let y(a) = a**2 + a - 1. Let q(c) = -153*c**2 - 3*c + 6. Calculate -q(r) - 2*y(r).
151*r**2 + r - 4
Let p(c) = -23*c + 5. Let s(y) = -34*y + 8. Suppose 31*x = -24*x + 440. Calculate x*p(i) - 5*s(i).
-14*i
Let r(l) = -9*l - 5. Let z(m) = 28*m + 16. Let s be 1*4*5/10 + 0/1. What is s*z(i) + 7*r(i)?
-7*i - 3
Let y(g) = -19*g - 18*g + 42*g + 7*g**2 - 5 - 10*g. Let s(d) = -8*d**2 + 4*d + 4. Let k = -16 - -12. Give k*y(a) - 5*s(a).
12*a**2
Let k(l) = 3*l - 3. Let s(f) = -33*f + 23. Determine 3*k(m) + s(m).
-24*m + 14
Let a(o) = 12 + 7 - 11*o - 12. Let t(u) be the second derivative of 23*u**3/6 - 15*u**2/2 + 45*u. Give -13*a(r) - 6*t(r).
5*r - 1
Let t(n) = 22*n**2 + 3*n - 1. Let a(y) = -23*y**2 - 4*y + 1. Suppose -212 = -1612*i + 1559*i. Determine i*t(l) + 3*a(l).
19*l**2 - 1
Let c = 307 + -310. Let o(w) = 2*w**3 - 3*w - 4. Let r(y) = 2*y**3 - 4*y - 5. Determine c*o(v) + 2*r(v).
-2*v**3 + v + 2
Let y(g) = 3*g**2 + 132*g + 21. Let c(x) = -23*x**2 - 924*x - 140. Determine 3*c(r) + 20*y(r).
-9*r**2 - 132*r
Let v(q) = 13*q**2 - 162*q - 5. Let t(p) = -14*p**2 + 157*p + 3. Calculate -3*t(g) - 2*v(g).
16*g**2 - 147*g + 1
Let a(i) = 63*i**3 + 11. Let p be (16/144)/(21/1134). Let r(b) = 32*b**3 + 6. Calculate p*a(h) - 11*r(h).
26*h**3
Let l(f) = -4*f + 4. Let n(c) = -17*c + 17. Let p = -140 + 143. Suppose 3*o + 3 = t - 3, p*t + 5*o + 52 = 0. Determine t*l(a) + 2*n(a).
2*a - 2
Let c(v) = -942*v**2 - 9*v + 1. Let m(s) = -2820*s**2 - 24*s + 3. Calculate 8*c(i) - 3*m(i).
924*i**2 - 1
Let x be 21/1 + -3 - -7. Let s(m) = -3*m**2 - 28*m - m**3 - m**2 + x*m + 2*m**2 + 5*m**2 + 2. Let t(q) = -2*q**3 + 8*q**2 - 8*q + 5. Give -8*s(a) + 3*t(a).
2*a**3 - 1
Let w(a) = -424*a + 4. Let u(v) = -3*v - 2. Calculate -3*u(k) - w(k).
433*k + 2
Let a(b) = 120*b + 11. Let m(k) = 344*k + 32. Let y(d) = -17*a(d) + 6*m(d). Let l(r) = 1. What is 4*l(q) - y(q)?
-24*q - 1
Let c(k) = 30*k**2 + 7*k + 9. Let r(l) = -158*l**2 - 44*l - 12. Let q(z) = -39*z**2 - 11*z - 2. Let i(x) = 11*q(x) - 3*r(x). What is -8*c(u) + 5*i(u)?
-15*u**2 - u - 2
Let j(u) = -3 - 2 - 1829*u + u**3 + 918*u + 4 + 910*u. Let i(v) = v**3 + 2*v**2 - 2*v - 2. Determine 2*i(c) - 4*j(c).
-2*c**3 + 4*c**2
Let v(q) = -5*q**3 - 333*q**2 + 11*q. Let d(h) = -7*h**3 - 334*h**2 + 14*h. Calculate 3*d(s) - 4*v(s).
-s**3 + 330*s**2 - 2*s
Let r(w) = -18393*w**3 + 20*w**2. Let o(m) = -406071457*m**3 + 441552*m**2. Calculate 5*o(l) - 110388*r(l).
9199*l**3
Let d(g) = 29*g**2 - 44*g - 12. Let n(m) = 10*m**2 - 15*m - 4. Determine 6*d(x) - 17*n(x).
4*x**2 - 9*x - 4
Let i(l) = -5*l**3 - 6*l**2 - 17*l - 10. Let h(o) = 4*o**3 + 4*o**2 + 16*o + 13. What is -4*h(s) - 3*i(s)?
-s**3 + 2*s**2 - 13*s - 22
Let x(f) = -962*f**3 + 10*f**2 + 7*f + 46. Let h(z) = -z**2 - 6. What is -8*h(n) - x(n)?
962*n**3 - 2*n**2 - 7*n + 2
Let m(d) = 1247*d**3 - 145*d**2 + 145*d. Let v(x) = -23*x**3 + 105*x**2 - 16*x**3 - 5*x - 102*x**2 + 2*x + 13*x**3. Calculate 3*m(j) + 145*v(j).
-29*j**3
Let m(r) = r**2 + 7. Suppose 5*w - 11 - 22 = -2*c, 4*w = 4*c + 4. Let y(i) = c - 138*i**2 + 139*i**2 - 1. Calculate 3*m(u) - 5*y(u).
-2*u**2 + 6
Let j(a) = 3*a**2 - 3*a - 4. Let q(h) = -h**2 + 3*h + 5 + h - 3*h**2. Let y be 18/6 + 4 + 1. Let g be 7 + (6 - (y - 0)). What is g*j(n) + 4*q(n)?
-n**2 + n
Let d(b) = -12*b**2 - 4*b - 85. Let w(i) = 22*i**2 + 7*i + 173. Give -7*d(l) - 4*w(l).
-4*l**2 - 97
Let c(n) = -n + 3. Let f(q) = 4*q + 40. Calculate -12*c(t) + f(t).
16*t + 4
Let c(j) = 43*j - 1159. Let d(l) = -18*l + 580. Calculate -2*c(b) - 5*d(b).
4*b - 582
Suppose -8*o = -52*o - 176. Let u(l) = 7*l**3 - 5*l**2 + 2*l + 4. Let z(r) = 6*r**3 - 4*r**2 + 2*r + 3. What is o*u(c) + 5*z(c)?
2*c**3 + 2*c - 1
Let f(i) = -1. Let b(t) = -1. Let n(o) = -3*b(o) + 2*f(o). Suppose 4*a + 16 = -4*w, 0 = -5*a - 42 + 17. Let s(m) = -3*m**2 - m + 8. Determine w*s(p) - 6*n(p).
-3*p**2 - p + 2
Let z(r) = -4. Let h(w) = w + 1. Let q = 5353 + -5354. Suppose 4*s + 2*t = -14, 2*t = 3*t - 3. What is q*z(l) + s*h(l)?
-5*l - 1
Let r(j) = -650*j - 223. Let z(i) = 1301*i + 371. Determine 5*r(v) + 3*z(v).
653*v - 2
Suppose -144 = 28*h - 284. Let m(k) = 48*k + 5. Let j(b) = 3311*b + 344. Calculate h*j(r) - 344*m(r).
43*r
Let t(m) be the third derivative of -m**6/20 + 29*m**4/4 + 8*m**3/3 - 5615*m**2. Let l(f) = -f**3 + 35*f + 3. Determine 16*l(z) - 3*t(z).
2*z**3 + 38*z
Let z(k) = 154429*k - 3030. Let x(o) = 2032*o - 40. Give -303*x(y) + 4*z(y).
2020*y
Let k(q) = -403*q. Let i(d) = -227*d + 232. Let f be i(1). Let j(h) = -26*h. Determine f*k(l) - 78*j(l).
13*l
Let o(j) be the first derivative of -34*j**3/3 + 17*j**2/2 - 858. Let b(y
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 17
What is the n'th term of -132, -460, -982, -1698?
-97*n**2 - 37*n + 2
What is the z'th term of 946, 902, 830, 730, 602, 446?
-14*z**2 - 2*z + 962
What is the o'th term of -74, -92, -100, -92, -62, -4, 88, 220?
o**3 - o**2 - 22*o - 52
What is the g'th term of -345, -665, -939, -1143, -1253, -1245, -1095?
4*g**3 - g**2 - 345*g - 3
What is the d'th term of -471, -455, -439?
16*d - 487
What is the m'th term of -3026, -3002, -2944, -2834, -2654?
3*m**3 - m**2 + 6*m - 3034
What is the v'th term of 787, 879, 971, 1063, 1155, 1247?
92*v + 695
What is the x'th term of -24, 194, 558, 1068?
73*x**2 - x - 96
What is the h'th term of 1088, 1034, 970, 896, 812, 718?
-5*h**2 - 39*h + 1132
What is the r'th term of -672, -1862, -4072, -7812, -13592?
-85*r**3 - 595*r + 8
What is the o'th term of -571, -579, -611, -679, -795, -971, -1219?
-2*o**3 + 6*o - 575
What is the p'th term of -94, -231, -386, -541, -678, -779, -826?
3*p**3 - 27*p**2 - 77*p + 7
What is the f'th term of 6906, 13559, 20212, 26865, 33518, 40171?
6653*f + 253
What is the s'th term of -1962, -7809, -17554, -31197?
-1949*s**2 - 13
What is the u'th term of -652, -2496, -5544, -9796, -15252?
-602*u**2 - 38*u - 12
What is the c'th term of -223, -718, -2053, -4648, -8923, -15298, -24193, -36028?
-70*c**3 - 5*c - 148
What is the g'th term of 15789, 15779, 15769, 15759, 15749, 15739?
-10*g + 15799
What is the w'th term of 2783, 5603, 8423, 11243, 14063, 16883?
2820*w - 37
What is the s'th term of 2445, 5680, 8915?
3235*s - 790
What is the v'th term of 12219, 12243, 12277, 12321, 12375?
5*v**2 + 9*v + 12205
What is the v'th term of -1749, -3481, -5201, -6909, -8605, -10289?
6*v**2 - 1750*v - 5
What is the s'th term of -31420, -62710, -93990, -125254, -156496?
s**3 - s**2 - 31294*s - 126
What is the k'th term of 2045, 7932, 17749, 31502, 49197, 70840?
k**3 + 1959*k**2 + 3*k + 82
What is the k'th term of -1527, -3040, -4589, -6192, -7867, -9632, -11505, -13504?
-3*k**3 - 1492*k - 32
What is the i'th term of 118, 140, 162, 184?
22*i + 96
What is the t'th term of 90, 188, 286, 384, 482?
98*t - 8
What is the t'th term of -19, -253, -495, -745, -1003, -1269, -1543?
-4*t**2 - 222*t + 207
What is the g'th term of -9805, -19611, -29417, -39223, -49029?
-9806*g + 1
What is the x'th term of 4702, 4696, 4680, 4654, 4618, 4572, 4516?
-5*x**2 + 9*x + 4698
What is the p'th term of 274, 484, 638, 712, 682, 524, 214?
-4*p**3 - 4*p**2 + 250*p + 32
What is the q'th term of -60605, -60584, -60533, -60446, -60317, -60140, -59909?
q**3 + 9*q**2 - 13*q - 60602
What is the w'th term of 22172, 22175, 22188, 22217, 22268, 22347?
w**3 - w**2 - w + 22173
What is the y'th term of -1672, -3084, -4496, -5908?
-1412*y - 260
What is the t'th term of -649, -1309, -1981, -2671, -3385, -4129, -4909?
-t**3 - 653*t + 5
What is the s'th term of -1215, -1187, -1161, -1137, -1115, -1095, -1077?
-s**2 + 31*s - 1245
What is the c'th term of 16001, 16281, 16747, 17399, 18237, 19261, 20471?
93*c**2 + c + 15907
What is the c'th term of 2001, 4001, 5997, 7989, 9977, 11961?
-2*c**2 + 2006*c - 3
What is the n'th term of 1435647, 1435649, 1435651, 1435653, 1435655, 1435657?
2*n + 1435645
What is the t'th term of 396, 3119, 10504, 24879, 48572, 83911, 133224?
388*t**3 + 3*t**2 - 2*t + 7
What is the r'th term of -13021, -26125, -39225, -52321, -65413, -78501, -91585?
2*r**2 - 13110*r + 87
What is the f'th term of -38724, -77444, -116164, -154884, -193604?
-38720*f - 4
What is the f'th term of -268633, -537267, -805901, -1074535?
-268634*f + 1
What is the y'th term of -16796, -134410, -453648, -1075322, -2100244, -3629226, -5763080, -8602618?
-16802*y**3 + 6
What is the y'th term of -219357, -438721, -658083, -877443, -1096801?
y**2 - 219367*y + 9
What is the l'th term of 38494, 76990, 115514, 154072, 192670, 231314, 270010?
l**3 + 8*l**2 + 38465*l + 20
What is the s'th term of 827, 3310, 7427, 13160, 20491, 29402, 39875?
-3*s**3 + 835*s**2 - s - 4
What is the t'th term of -7869, -7868, -7879, -7908, -7961?
-t**3 + 8*t - 7876
What is the v'th term of -120, 296, 712, 1128, 1544, 1960?
416*v - 536
What is the n'th term of -25, -78, -207, -448, -837?
-6*n**3 - 2*n**2 - 5*n - 12
What is the q'th term of 391305, 391317, 391329, 391341?
12*q + 391293
What is the m'th term of -1578, -6749, -15366, -27429, -42938, -61893, -84294?
-1723*m**2 - 2*m + 147
What is the i'th term of 778286, 778287, 778288, 778289, 778290?
i + 778285
What is the g'th term of 19, 40, 57, 70, 79, 84?
-2*g**2 + 27*g - 6
What is the s'th term of 20161, 40328, 60495?
20167*s - 6
What is the n'th term of -15186, -15200, -15212, -15222, -15230, -15236, -15240?
n**2 - 17*n - 15170
What is the m'th term of 1316, 1298, 1266, 1220?
-7*m**2 + 3*m + 1320
What is the o'th term of 88, 313, 678, 1177, 1804?
-o**3 + 76*o**2 + 4*o + 9
What is the p'th term of -266307, -266306, -266305, -266304, -266303, -266302?
p - 266308
What is the x'th term of 29, 109, 247, 449, 721, 1069, 1499, 2017?
x**3 + 23*x**2 + 4*x + 1
What is the u'th term of 2108, 8409, 18910, 33611?
2100*u**2 + u + 7
What is the a'th term of -432, 319, 1070, 1821, 2572, 3323?
751*a - 1183
What is the q'th term of 483, 456, 429, 402, 375?
-27*q + 510
What is the k'th term of -60, 89, 608, 1719, 3644, 6605?
37*k**3 - 37*k**2 + k - 61
What is the m'th term of 117527, 235031, 352535, 470039, 587543, 705047?
117504*m + 23
What is the f'th term of -1033, -1543, -2091, -2695, -3373, -4143, -5023?
-3*f**3 - f**2 - 486*f - 543
What is the a'th term of 58, 386, 1236, 2866, 5534?
43*a**3 + 3*a**2 + 18*a - 6
What is the c'th term of 5516, 5136, 4758, 4382, 4008, 3636, 3266?
c**2 - 383*c + 5898
What is the k'th term of -1030323, -1030322, -1030321, -1030320, -1030319?
k - 1030324
What is the h'th term of -8638, -8642, -8646?
-4*h - 8634
What is the l'th term of -5450, -22409, -50668, -90221, -141062, -203185?
l**3 - 5656*l**2 + 2*l + 203
What is the k'th term of 1501, 1524, 1559, 1612, 1689?
k**3 + 16*k + 1484
What is the m'th term of 28, 185, 344, 505?
m**2 + 154*m - 127
What is the v'th term of -3463, -3448, -3433?
15*v - 3478
What is the a'th term of -59, -15, 39, 109, 201, 321, 475?
a**3 - a**2 + 40*a - 99
What is the q'th term of 200, 347, 494?
147*q + 53
What is the y'th term of -15, 7, 41, 93, 169, 275?
y**3 + 15*y - 31
What is the k'th term of 1150, 601, 52, -497?
-549*k + 1699
What is the f'th term of 61465, 61482, 61501, 61522, 61545, 61570?
f**2 + 14*f + 61450
What is the j'th term of -194742, -194738, -194734, -194730, -194726, -194722?
4*j - 194746
What is the z'th term of 667, 769, 939, 1189, 1531, 1977, 2539, 3229?
2*z**3 + 22*z**2 + 22*z + 621
What is the d'th term of 331, 461, 591, 721?
130*d + 201
What is the z'th term of 38898, 38906, 38928, 38970, 39038?
z**3 + z**2 - 2*z + 38898
What is the m'th term of -6649, -6584, -6521, -6460, -6401, -6344, -6289?
-m**2 + 68*m - 6716
What is the v'th term of 2252, 2190, 2128, 2066, 2004?
-62*v + 2314
What is the f'th term of -59869, -119735, -179601, -239467?
-59866*f - 3
What is the a'th term of -5394, -21528, -48408, -86028, -134382, -193464, -263268, -343788?
a**3 - 5379*a**2 - 4*a - 12
What is the j'th term of 13743, 54932, 123581, 219690, 343259, 494288, 672777?
13730*j**2 - j + 14
What is the r'th term of 676, 1642, 3206, 5668, 9328, 14486, 21442, 30496?
50*r**3 - r**2 + 619*r + 8
What is the t'th term of -403869, -807739, -1211609?
-403870*t + 1
What is the x'th term of 143, 303, 483, 683, 903, 1143?
10*x**2 + 130*x + 3
What is the u'th term of 9895, 39634, 89199, 158590, 247807, 356850, 485719?
9913*u**2 - 18
What is the b'th term of 5431, 10979, 16527, 22075, 27623?
5548*b - 117
What is the d'th term of -10231, -10259, -10305, -10369, -10451, -10551, -10669?
-9*d**2 - d - 10221
What is the p'th term of -602, -1215, -1864, -2567, -3342?
-3*p**3 - 592*p - 7
What is the u'th term of 1653, 3273, 4815, 6237, 7497?
-7*u**3 + 3*u**2 + 1660*u - 3
What is the y'th term of 5934, 11836, 17732, 23622?
-3*y**2 + 5911*y + 26
What is the n'th term of 669573, 669567, 669547, 669507, 669441, 669343?
-n**3 - n**2 + 4*n + 669571
What is the t'th term of -40576, -81171, -121754, -162319, -202860, -243371, -283846?
t**3 - 40602*t + 25
What is the d'th term of -1739, -3496, -5287, -7118, -8995, -
|
{
"pile_set_name": "DM Mathematics"
}
|
picked without replacement from {p: 11, n: 9}?
99/190
What is prob of picking 1 o and 2 t when three letters picked without replacement from {c: 1, o: 1, t: 2, v: 1, h: 2}?
1/35
Two letters picked without replacement from {q: 8, w: 5}. Give prob of picking 2 w.
5/39
Three letters picked without replacement from ccbbscsbcccksc. Give prob of picking 1 b and 2 c.
9/52
What is prob of picking 1 b and 2 j when three letters picked without replacement from {m: 1, g: 4, l: 5, b: 1, j: 5}?
1/56
Two letters picked without replacement from xdkwb. Give prob of picking 1 w and 1 k.
1/10
Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {m: 2, j: 4, h: 1}.
1/35
Two letters picked without replacement from vrvr. Give prob of picking 2 v.
1/6
Three letters picked without replacement from rhvrovnochrrochorr. What is prob of picking 2 r and 1 v?
5/136
What is prob of picking 1 q and 1 e when two letters picked without replacement from xbexuezq?
1/14
Two letters picked without replacement from {x: 5, g: 5}. Give prob of picking 2 g.
2/9
Four letters picked without replacement from {u: 1, d: 1, q: 2, c: 1, l: 2}. Give prob of picking 1 u, 1 c, and 2 l.
1/35
Four letters picked without replacement from ffffffiffffffffiffff. Give prob of picking 3 f and 1 i.
32/95
What is prob of picking 1 h and 2 s when three letters picked without replacement from {a: 1, s: 2, h: 2, f: 6}?
2/165
Two letters picked without replacement from {u: 12, r: 2, h: 2, g: 2, n: 1}. What is prob of picking 2 g?
1/171
What is prob of picking 3 p when three letters picked without replacement from hphbbphhbhhhbpbhbb?
1/816
Three letters picked without replacement from wtwhdqqwhdddwww. What is prob of picking 2 q and 1 w?
6/455
Two letters picked without replacement from {p: 2, l: 1, r: 2, i: 1}. What is prob of picking 2 r?
1/15
Two letters picked without replacement from {a: 1, k: 4, c: 1, m: 1, r: 2}. Give prob of picking 1 m and 1 a.
1/36
Two letters picked without replacement from hhhehhhhhhhhh. What is prob of picking 2 h?
11/13
Calculate prob of picking 1 p and 1 v when two letters picked without replacement from ppppppppvpppppppppv.
34/171
What is prob of picking 2 t when two letters picked without replacement from wddtddtdwwwdtt?
6/91
What is prob of picking 1 b and 1 i when two letters picked without replacement from bbzizzn?
2/21
Two letters picked without replacement from {w: 1, n: 1, g: 2, i: 1, x: 5}. Give prob of picking 1 x and 1 g.
2/9
Calculate prob of picking 2 o when two letters picked without replacement from mghoghhhhgnnohfgh.
1/136
Two letters picked without replacement from qqdjdgddgdqqddl. What is prob of picking 1 j and 1 d?
1/15
Three letters picked without replacement from {i: 6, f: 5, y: 2}. What is prob of picking 1 y and 2 f?
10/143
What is prob of picking 1 c and 2 l when three letters picked without replacement from lhiyhhylhclhdlylh?
1/68
Three letters picked without replacement from {u: 2, v: 2, x: 6, s: 3, f: 1}. Give prob of picking 1 v and 2 s.
3/182
Four letters picked without replacement from cqccqqc. What is prob of picking 1 q and 3 c?
12/35
What is prob of picking 1 k and 3 n when four letters picked without replacement from {e: 1, f: 2, t: 2, h: 1, n: 1, k: 1}?
0
Three letters picked without replacement from {c: 3, x: 8}. What is prob of picking 2 x and 1 c?
28/55
What is prob of picking 3 r when three letters picked without replacement from rrarrrrarr?
7/15
Four letters picked without replacement from {y: 1, m: 1, z: 3}. Give prob of picking 1 m and 3 z.
1/5
Calculate prob of picking 2 t and 1 z when three letters picked without replacement from {z: 1, c: 1, y: 1, t: 2, i: 1, x: 1}.
1/35
What is prob of picking 3 d when three letters picked without replacement from nnnndnnnnddn?
1/220
Calculate prob of picking 1 w and 2 j when three letters picked without replacement from {s: 5, j: 1, c: 6, w: 5}.
0
What is prob of picking 3 k when three letters picked without replacement from {c: 2, k: 8}?
7/15
Two letters picked without replacement from qtqkpnqqtnppqp. What is prob of picking 2 p?
6/91
Three letters picked without replacement from {f: 4, b: 1, t: 1, m: 2, c: 2}. Give prob of picking 1 f, 1 m, and 1 t.
1/15
Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {t: 1, k: 1, e: 1, a: 1, m: 1}.
1/10
Calculate prob of picking 1 i and 3 d when four letters picked without replacement from qbijbvjbddjqbdj.
1/1365
Two letters picked without replacement from {w: 2, j: 5, p: 2, c: 1, s: 4, t: 1}. Give prob of picking 1 t and 1 c.
1/105
Calculate prob of picking 1 s and 1 t when two letters picked without replacement from ppsts.
1/5
Two letters picked without replacement from blzvvlppvpplp. Give prob of picking 1 l and 1 z.
1/26
What is prob of picking 3 l and 1 x when four letters picked without replacement from {x: 2, l: 3, j: 5}?
1/105
Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {b: 4, r: 1, g: 1, o: 2, l: 1, d: 11}.
11/190
Two letters picked without replacement from {e: 6, c: 2, k: 2, r: 1, v: 4, p: 3}. Give prob of picking 1 r and 1 p.
1/51
Two letters picked without replacement from {v: 2, y: 8, d: 4, m: 1, l: 4, s: 1}. Give prob of picking 1 v and 1 m.
1/95
Calculate prob of picking 1 a and 2 o when three letters picked without replacement from ooaaafo.
9/35
Three letters picked without replacement from {t: 1, u: 4, r: 6, h: 1, w: 3, z: 3}. Give prob of picking 1 t and 2 r.
5/272
Three letters picked without replacement from {c: 5, z: 1, e: 3, q: 1, f: 1, b: 1}. Give prob of picking 1 c, 1 f, and 1 q.
1/44
What is prob of picking 4 x when four letters picked without replacement from qqxxxxqxxxxqqxxx?
33/182
Four letters picked without replacement from {e: 7}. Give prob of picking 4 e.
1
Four letters picked without replacement from qlttrmrrorllrlqrr. What is prob of picking 2 l, 1 m, and 1 r?
3/170
What is prob of picking 2 d and 1 w when three letters picked without replacement from hhjdwdv?
1/35
What is prob of picking 2 n when two letters picked without replacement from arornrnrlrnpnno?
2/21
Four letters picked without replacement from {o: 2, q: 4, j: 2, r: 2, l: 3, h: 1}. Give prob of picking 2 j, 1 q, and 1 o.
8/1001
Four letters picked without replacement from htmhbmmmt. What is prob of picking 2 t and 2 h?
1/126
What is prob of picking 1 f and 2 y when three letters picked without replacement from {y: 2, f: 3}?
3/10
What is prob of picking 3 c and 1 i when four letters picked without replacement from cuccciciccccccu?
22/91
Calculate prob of picking 2 n when two letters picked without replacement from ndsndotwddndw.
1/26
Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {e: 1, k: 2, o: 1, c: 3}.
1/7
Four letters picked without replacement from {r: 14, d: 5, y: 1}. What is prob of picking 1 d and 3 r?
364/969
Calculate prob of picking 1 t and 2 a when three letters picked without replacement from atattttttattttt.
36/455
What is prob of picking 2 q, 1 h, and 1 t when four letters picked without replacement from {q: 3, h: 5, t: 2}?
1/7
Four letters picked without replacement from lilqpqlpqnlll. What is prob of picking 1 i and 3 q?
1/715
Calculate prob of picking 3 n and 1 h when four letters picked without replacement from {h: 5, n: 3}.
1/14
Calculate prob of picking 2 m when two letters picked without replacement from {m: 3}.
1
Two letters picked without replacement from wek. Give prob of picking 1 w and 1 k.
1/3
Four letters picked without replacement from jajajhjfakjh. What is prob of picking 1 f, 2 j, and 1 h?
4/99
Three letters picked without replacement from {i: 3, m: 2, y: 3}. Give prob of picking 2 m and 1 i.
3/56
Four letters picked without replacement from {f: 13, l: 3}. What is prob of picking 3 l and 1 f?
1/140
Two letters picked without replacement from wmeepqe. What is prob of picking 1 e and 1 p?
1/7
Two letters picked without replacement from {i: 10, f: 3, k: 1, j: 2, q: 3}. What is prob of picking 1 k and 1 q?
1/57
Three letters picked without replacement from {d: 1, k: 4, u: 2, r: 6, c: 1, a: 1}. What is prob of picking 2 k and 1 a?
6/455
Two letters picked without replacement fr
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate the common denominator of -145/18 and 9*2/(-6) - 381/18.
18
Let d(o) = -o**2 - 6*o + 75. Let r(c) = 17*c**2 + 1. What is the smallest common multiple of d(-12) and r(-1)?
18
Suppose -8*w + 2*v = -4*w + 20, -2*w = 3*v + 2. Let m be (3 - (-14)/w)*8. Find the common denominator of m/(-6) + (-183)/(-36) and 76/21.
84
Let d(o) = -o**2 + 7*o + 7. Let q(n) = -8*n**2 + 2*n + 2. Let w be q(2). Let u = w + 33. What is the lowest common multiple of 12 and d(u)?
84
Let o = -7320479/28 + 261411. Let n = o + 141/4. What is the common denominator of n and ((-4)/(-8))/(14/(-20))?
7
Suppose 5*k - 59 = -39. Calculate the least common multiple of k and 16.
16
Let p = -341 + 371. What is the smallest common multiple of p and 66?
330
Suppose -34 = -5*o + 6. Find the common denominator of 2 + (-50)/o + 1 and 6/10 - 610/100.
4
Let q(x) = -4*x. Let t be q(-5). Let u = t + -16. Suppose 48 = u*l + 4*a, 4*l + a = -9 + 51. What is the smallest common multiple of l and 5?
10
What is the common denominator of (-1)/(112/175) + (0 - -2) and -73/44?
176
Let q = -1293 - -9010/7. Calculate the common denominator of q and 22/63.
63
What is the common denominator of -101/18 and ((10413/3195)/(-13))/((-6)/(-15))?
1278
Let h be -1 + -2 - 14025/36. Suppose 3*a = 7*a - 1588. Let u = a + h. Find the common denominator of 77/8 and u.
24
What is the least common multiple of 18 and 20824/988 - (-2)/(-26)?
126
Let g = 943 + -933. What is the least common multiple of g and 1428?
7140
Let i = -1403 + 32281/23. Calculate the common denominator of i and ((-104)/60 + 2)*(-15)/3.
69
Let h = 5977/2472334 + -3/4219. Let i = -6886/293 + h. What is the common denominator of 109/20 and i?
20
Let c = -26093/18060 - 74/645. What is the common denominator of c and -39/11?
924
Suppose -5*g + 0*g = -20. Let b = 365 + -362. Calculate the smallest common multiple of b and g.
12
Let v(g) = g**3 - 8*g**2 + 10*g - 7. Let j be v(5). Calculate the common denominator of -79/2 and (-594)/81*(-18)/j.
8
Let i be 145485/1300 + 0 - 2/(-8). Let x = -3089/20 + 8317/260. Let y = i + x. Find the common denominator of y and -16.
10
Let v = -1271/8 + 155. What is the common denominator of (-70)/385 + ((-1183)/88 - -1) and v?
8
Suppose b + 5*h = 0, -h = 2*h - 6. Let u = 697/5 - 147. What is the common denominator of b/(-12)*(-657)/30 and u?
20
Suppose 20*q - 15 = 19*q. Calculate the common denominator of -47/12 and 2 + -3 + (-220)/q + -3.
12
Let m = 2 + 4. Let d(j) = j**3 - 6*j**2 - j + 3. Let c be d(m). Let o(q) = -3*q. Calculate the lowest common multiple of o(c) and 5.
45
Let y(n) = -n**3 - 22*n**2 + 26*n + 73. Calculate the least common multiple of 20/(3 - 8) + 48 and y(-23).
44
Let p(o) = -o**2 + 66*o + 23. What is the lowest common multiple of p(13) and 20?
3560
Let k = -2993 - -2997. Calculate the least common multiple of 10/15*3*82 and k.
164
Let y(v) = -6*v. Let b be y(4). Let s = 10/1029 - 126667/10290. Calculate the common denominator of s and 3/8 - (-36)/b.
40
Suppose 4*v + 16 = -4*n, -3*n + v - 12 = -4*v. Calculate the common denominator of (-4)/14 - (-355)/(-56) and (-696)/(-16) - n/2.
8
Let c be (-1)/(2*2/12). Calculate the common denominator of (-126)/(-570) - 1/(-5) and 550/135*c/2.
171
Let a = 155 - 3089/20. Suppose -5*w + 2169 = -2*w. Let x = -1395/2 + w. Find the common denominator of a and x.
20
Calculate the common denominator of 51/407 and 13447/5032 + 20/(-8).
3256
Let y = 20 - 20. Let c = 1 - y. Let s(a) = a**3 - a**2 + 2*a - 2. Calculate the lowest common multiple of c and s(2).
6
What is the common denominator of (-1078)/119*8/(-64) and -45/136?
136
Suppose -4*q = -3*x + 74, -2*x = -0*x + 3*q - 21. Calculate the lowest common multiple of 22 and x.
198
Let g = 155 - 156. Find the common denominator of -37/24 and ((-3)/18)/(g/(-49)).
24
Let a = -12 - -11. What is the common denominator of 121/(-10) + 3/15*a and 55/8?
40
Suppose -3*f + 84 = 9*f. Calculate the smallest common multiple of f and 7.
7
Suppose -13*l + 294 - 34 = 0. Calculate the lowest common multiple of l and 30.
60
Let g = 7 - 2. What is the smallest common multiple of g/(-40)*-4*92 and (-67)/(-3) - 2/6?
506
What is the common denominator of 7/30 and (-4)/3 - (-455)/(-112)*-1?
240
Let p = -7/199 + 8222/1791. Calculate the common denominator of 70/3 and p.
9
Let b be (42/18)/((-1)/(-9)). Let t(f) = f**2 - 16*f - 10. Calculate the least common multiple of t(b) and 10.
190
Let k = 6011 - 36157/6. Find the common denominator of 261/(-40) + 5 + (-23)/5 and k.
24
Let q = 6399 + -140815/22. Let t be 1 + 1 + 2066/52. Let r = 75/13 + t. What is the common denominator of r and q?
22
Let x = 1/19096 - -89403/19096. Let s = 10/579 + -21077/2316. Calculate the common denominator of s and x.
132
Suppose 4*w + 4*h - 12 = -0*h, 3*h = -w - 7. Suppose d + 4*r = 2*d - 15, 0 = d + 5*r - 24. What is the smallest common multiple of d and w?
152
Let u = 678 - 601. What is the smallest common multiple of 14 and u?
154
Let v(q) = -7*q - 11 - 26 + 7. What is the smallest common multiple of v(-6) and 9?
36
Let j(f) = f**3 + 6*f**2 - 13*f - 3. Let g be j(-5). Let r = 111 - g. What is the lowest common multiple of r and 30?
120
Let w(d) = d**2 - 2*d - 19. Let o be w(8). Suppose 25 = 9*a - o. What is the least common multiple of 12 and a?
12
Suppose 41*s - s = 960. What is the smallest common multiple of s and 216?
216
Let n = 219 - 326. Let x = 129 + n. What is the lowest common multiple of x and 96?
1056
Suppose -5*y + 0*y = -180. Let b = -33 - -33. Let i = b - -16. What is the lowest common multiple of y and i?
144
Let p = 4/25 + -149/1400. Calculate the common denominator of -31/14 and p.
56
Let c(i) = -2*i**3 - i**2 - 2*i - 4. Calculate the least common multiple of 40 and c(-2).
120
Let g = -4233 - -93083/22. Calculate the common denominator of 13/(-12) - (78/12)/(-13) and g.
132
Suppose 6*m + 3*m = 180. What is the least common multiple of 16 and m?
80
Calculate the common denominator of 84/34*(-23)/(-138) and -107/6.
102
Suppose 4*i + 9 = f, -2*f - 5*i = -28 - 3. Suppose 9*v + 365 - 419 = 0. What is the smallest common multiple of f and v?
78
Let i be 5*(-40)/150*3/2. Let c(x) = -4*x**3 + x**2 + x - 1. Let t be c(1). Calculate the lowest common multiple of 2 - (-4)/i*t and 22.
88
Let m be 0 + 1 + (-204)/(-12). Suppose 3*u - u = 8, 5*n = -2*u + m. What is the least common multiple of n and 13?
26
Suppose d - 2*n - 332 = 0, 3*d + 365 - 1317 = -5*n. Calculate the lowest common multiple of d and 14.
2268
Let x be (-1 + -1854)/(-1) + 3. Let d = x + 764. What is the common denominator of 57/2 and (-6289)/d + 1/3?
46
Suppose 3*r - 64 = 2. Let k be r/(-57) + 1/3. Let s = k - 16/57. Find the common denominator of s and -59/10.
30
Let z = 930 - 11135/12. Find the common denominator of -97/28 and z.
84
Let c(t) = t**3 + 8*t**2 + t - 18. Let k be c(-7). Suppose 15*i + 9 = k*i. What is the least common multiple of 10 and i?
10
What is the common denominator of (4/(-38))/(8/(-7)) and -12 + (-434)/(-35) - (-211)/110?
836
What is the least common multiple of -2*8/(-4) + -2 and 68?
68
What is the common denominator of -25/98 and (6/(-6) + -66)*(-2)/(-28)?
98
Suppose -b - 3 = -2*b. Suppose x = -b*x - 44. Let n(f) = f + 19. Calculate the smallest common multiple of n(x) and 2.
8
Suppose 0 = -t - 5*p + 58, -2 = -31*p + 33*p. Calculate the least common multiple of t and 21.
63
Let q = 25 + -23. Find the common denominator of q/(1008/66) - (-2)/7 and -69/8.
24
What is the lowest common multiple of 122/14 - (-2)/7 and -14 + 5 + 5 + 13?
9
Let z = -110 - -125. What is the least common multiple of 45 and z?
45
Suppose -2*q = -5*q - j + 19, j - 25 = -4*q. Let y(w) = -w**3 - 83*w**2 + 439*w - 82. What is the smallest common multiple of y(-88) and q?
6
Suppose 117 - 252 = -15*o. Calculate the least common multiple of o and 16.
144
Let r be (-4*(-1)/(-10038))/(3 - 2). Let j = -31775/30114 + r. Find the common denominator of j and 20/9.
18
Suppose -12 = -y - 2*s - 6, -4*s + 8 = 0. Calculate the least common multiple of y and 62.
62
Let f = -2211915/22 - -100505. Let h = 7071/220 + f. Find the common denominator of -89/24 and h.
120
Let c be (-4 - -3)*(1 + -14). Let z = c + -5. Suppose -z = -5*o + 12. What is the least common multiple of o and 3?
12
Suppose 0 = -u - 11 - 1. Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
What is (10/(-35))/((-20)/350)?
5
What is the value of 52/130*10/4?
1
Evaluate 5/((-7)/((-168)/30)).
4
(((-20)/(-4))/5)/1
1
Calculate (-2)/(-7*(-5)/35).
-2
Evaluate (-7)/21*18/(-15).
2/5
((-6)/(144/56))/((-2)/(-3))
-7/2
Calculate -6*(63/(-9))/(-7).
-6
Evaluate ((-18)/15)/(2/(-5)).
3
What is the value of ((-2)/(-2)*-1)/1*-1?
1
What is (28/(-672))/((-2)/(-6))?
-1/8
Calculate (4/(-6))/(64/24).
-1/4
Calculate 255/(-238)*(-49)/70.
3/4
What is the value of 32/12*18/24?
2
(-82)/123*2/1
-4/3
What is (8/140*5)/((-20)/(-7))?
1/10
What is the value of -14*(-12)/252*-1?
-2/3
What is the value of 4/(6/45*6)?
5
Calculate (2/(-4))/(3*(-4)/(-48)).
-2
Calculate ((-4)/22)/2*(-1498)/749.
2/11
Evaluate -6*(-9)/12*42/(-63).
-3
Calculate 2/(12/((-48)/4)).
-2
What is 1/(2*3)*2988/249?
2
((-18)/90)/(6/(-10))
1/3
What is -4*3/30*15/(-10)?
3/5
What is -2*14/(-21)*(-2)/(-28)?
2/21
What is the value of 20/(-10)*2/4*-3?
3
21/60*(-10)/(-35)
1/10
Calculate (-82)/205*5/(-7).
2/7
What is the value of 246/(-123)*((-1)/(-1))/15?
-2/15
-10*5/(-150)*-21
-7
What is the value of 4*(-1)/(20/5)?
-1
What is the value of (720/(-288))/((2/1)/4)?
-5
What is (-7)/(147/(-63))*1/(-2)?
-3/2
What is (-1)/((-9)/(-12)*2/3)?
-2
Calculate (-28)/(-32)*(-7)/(49/2).
-1/4
What is ((-8)/(-60)*6)/((-2)/(-5))?
2
Evaluate (-12)/21*(10/4)/(-5).
2/7
What is the value of 1/((-2)/(-16)*-1)?
-8
(-2)/15*(-18)/(-12)
-1/5
Calculate (-2)/(-5)*(-35)/14.
-1
Calculate (-4)/((-60)/(-35))*3/2.
-7/2
(1/2)/(1953/(-868))
-2/9
Calculate ((-4)/3)/(608/(-1368)).
3
Evaluate ((-40)/(-6))/2*12/8.
5
Calculate (-18)/(-28)*-8*(-28)/192.
3/4
What is the value of ((-136)/170)/(1*1/5)?
-4
Calculate (-189)/162*4/(-7).
2/3
Calculate -5*(-11)/(-110)*1*-10.
5
(-3)/1*(-2)/9*9
6
Calculate (-3)/1*(-6)/6.
3
What is (5/10*1)/(1/1)?
1/2
Evaluate (14/(-42)*0)/(-1).
0
What is the value of (4/(48/(-4)))/((-2)/6)?
1
(-4)/2*(-35)/(-14)
-5
What is (-3)/(12/(-8))*21/(-315)?
-2/15
What is the value of (75/(-50))/(27/(-4))?
2/9
Calculate (-9)/(-7)*(-5)/(-90)*6.
3/7
Calculate 3/(-12)*2*18/(-1).
9
What is the value of (4/17)/(14/(-7))?
-2/17
What is the value of (3/6)/((-11)/(-110))?
5
What is (-3)/(-2)*(-28)/(-7)?
6
What is ((-16)/(-28))/((-162)/189)?
-2/3
Calculate ((-20)/(-6))/(5*(-10)/(-75)).
5
2*(15/(-3))/(-5)
2
Calculate 2*((-60)/5)/6.
-4
Evaluate ((-2)/4)/((-5)/(-10))*0.
0
What is (1/(-15))/(12/(-72))?
2/5
What is 344/(-602)*(-14)/20?
2/5
Evaluate ((-14)/(-42))/((-2)/(-42)).
7
What is (-74)/111*((-3)/5)/1?
2/5
Evaluate (-2)/(6/3)*-2.
2
Evaluate (4/12)/((-3)/45).
-5
((-2)/(-12))/((-16)/(192/(-14)))
1/7
Calculate (63/(-36))/(2/4).
-7/2
Evaluate 1/((-3)/(18/(-33))).
2/11
Calculate 8/(-2)*(-1)/(-4)*-2.
2
What is the value of (6/(-68))/((-84)/(-112))?
-2/17
(61/(-61))/((-6)/8)
4/3
(-13)/((-1170)/24)*(-3)/2
-2/5
Evaluate (2/(-5))/((2760/(-75))/(-23)).
-1/4
Evaluate ((-27)/135)/((-3)/(-6)).
-2/5
What is (-12)/3*(-2)/(-28)?
-2/7
((-3)/(-1))/(315/(-14))
-2/15
Evaluate (-1280)/400*(-5)/2.
8
12/(-10)*(350/165)/(-14)
2/11
Evaluate 5/5*46/253.
2/11
Calculate (-6)/(-4)*((-4)/(-9))/(-2).
-1/3
(12/6)/(-2)*5*1
-5
What is the value of (10/8)/(((-44)/16)/(-11))?
5
Evaluate 10/(-175)*5*(-21)/(-3).
-2
What is (-1*2)/(-6*(-6)/72)?
-4
What is ((-5)/15)/(1/(-9))?
3
Evaluate 4/(2/2*1).
4
What is the value of ((-3)/(-9))/((-2)/18)?
-3
(20/12)/((-15)/45)
-5
(4/(-16))/(2/(24/9))
-1/3
What is (6/6*0/(-2))/(-2)?
0
4/(-8)*2/7
-1/7
What is the value of (0/(-1))/(10/((-70)/(-21)))?
0
((-1)/(-12))/(14/(-126))
-3/4
((-5)/4)/5*1/(-1)
1/4
What is (((-24)/(-210))/(-2))/((-2)/14)?
2/5
Calculate (-90)/(-100)*1/((-3)/(-5)).
3/2
((-51)/204)/((-1)/((-16)/14))
-2/7
Calculate (4/70)/(5/((-105)/(-3))).
2/5
((-4)/(-2))/((-18)/(-189)*-7)
-3
What is the value of (27/189)/((-1)/(-5))?
5/7
Evaluate 0/(7/56*8).
0
-4*50/(-8)*1/(-5)
-5
What is the value of -9*(14/2)/21?
-3
What is (2/(-20))/(98/(-70))?
1/14
(-3)/(6/1)*2/6
-1/6
Calculate (1/(-1))/((6/(-1))/(-18)).
-3
What is (4/(-10))/(19/(-95))?
2
What is the value of 1/((-10)/(-5)*-3)*-9?
3/2
Calculate 2*(-3)/(-6)*-4.
-4
What is the value of 3*((-54)/(-9))/6?
3
(-36)/30*(-1)/(-2)*5
-3
Calculate (-1)/(-7)*2*(-11)/(-11).
2/7
What is the value of -1*(40/4)/(-2)?
5
Calculate 4/((-5)/(-5))*21/(-14).
-6
((-4)/(-22))/(28/(-14))
-1/11
Calculate (40/70)/(1/((-21)/(-30))).
2/5
Evaluate (2/6)/((-4)/(-72)).
6
What is 14/2*(-23)/69*3?
-7
What is the value of 11/((-165)/(-18))*5?
6
What is the value of 36/8*(-2)/(-3)?
3
Calculate (4/(-6))/(12/18).
-1
(1/(-4))/(15/20*3)
-1/9
What is 1/(2/(((-12)/(-9))/(-2)))?
-1/3
What is the value of ((-10)/6)/((-255)/612)?
4
Calculate (24/24)/(2*1/(-4)).
-2
Evaluate (5/(-3))/(70/(-168)).
4
((-5)/(-10))/(4/(-24))
-3
What is (-15)/6*24/(-105)?
4/7
Calculate (4/(-5))/(12*13/(-78)).
2/5
Calculate (-19)/228*18*(-6)/1.
9
Calculate ((-3)/(18/42))/((-4)/(-4)).
-7
Calculate (15/45)/((-1)/2*-1).
2/3
Evaluate (3/26)/((-354)/472).
-2/13
Evaluate (-3)/(-15)*5/(-1).
-1
What is the value of 2*(-4)/24*6*-1?
2
What is the value of 4*4/(-12)*3?
-4
What is the value of 10*-1*3/6?
-5
What is (-595)/(-170)*4/14?
1
Evaluate 3/9*(-24)/(-8).
1
What is the value of 1/((((-4)/4)/5)/1)?
-5
Calculate (13/(-26))/(14/(-140)).
5
What is the value of 2*(-40)/16*(-3)/5?
3
What is the value of 108/8*(-52)/78?
-9
Calculate ((-16)/72)/((25/45)/5).
-2
What is (4/2)/(10/15)?
3
What is ((-45)/50)/(3*(-4)/20)?
3/2
Evaluate -9*-1*(-16)/(-36).
4
What is (-30)/45*3*-2?
4
((-240)/234)/(-20)*(-3)/1
-2/13
Evaluate ((-28)/(-70))/(5/(75/42)).
1/7
Calculate ((-1)/(-2))/(31/(-62))*-5.
5
What is the value of (-6*5/(-50))/(6/(-60))?
-6
Calculate (-2)/(-3)*6/(-8)*-4.
2
Evaluate (7*(-4)/84)/(1/(-21)).
7
(3/2)/((-4)/(-32)*4)
3
What is the value of (-3)/(-18)*(-66)/(-22)?
1/2
((2/(-10))/((-92)/345))/(-2)
-3/8
What is the value of ((-3)/(-1))/((-66)/(-44))?
2
(-13)/13*4/(-4)
1
Calculate 2/((-3)/((-36)/(-8))).
-3
Calculate ((-8)/28)/((-96)/(-168)).
-1/2
What is (-1)/(1/(-2))*-2?
-4
Evaluate 2*(-16)/(-28)*(-14)/(-4).
4
What is the value of (-6*(-4)/72*-12)/1?
-4
Evaluate (-8)/2*12/(-48).
1
Evaluate ((-6)/(-75)*5)/((-16)/10).
-1/4
Evaluate 99/(-22)*(-4)/6.
3
Calculate ((-48)/(-224))/(18/21).
1/4
What is (1*3)/(((-399)/(-14))/(-19))?
-2
Evaluate 2*-9*2/12.
-3
Evaluate 1/6*8*27/12.
3
What is the value of (3/9*-6)/(-1*2)?
1
1*3*(-30)/36*2
-5
Evaluate (20/(-6)*3)/(-2).
5
What is the value of (2/6)/(1/(-3))?
-1
Evaluate 36/8*1*6/9.
3
Calculate (2/(-28))/(12/(-24)).
1/7
(2/(-3))/(48/(-72))
1
Calculate (510/(-765))/(8/3).
-1/4
What is 4/8*2/(-21)*-3?
1/7
What is the value of ((-2)/20)/(11/22)?
-1/5
Calculate 42/(-35)*(-10)/(-6)*3.
-6
What is the value of -1*10/(-25)*-5?
-2
Evaluate (12/10)/((-24)/40).
-2
Calculate (((-45)/6)/(-3))/(2/4).
5
Calculate 3*4/(-18)*90/(-70).
6/7
((-3)/4)/(33/220)
-5
Evaluate ((-2)/4)/((21/(-3))/70).
5
What is (-2)/10*(-170)/153?
2/9
What is (3*(-8)/36)/((-10)/(-3))?
-1/5
Calculate (10/(-6))/((-15)/(-18)).
-2
What is -1*9/12*(-108)/(-162)?
-1/2
What is the value of (7*32/84)/2?
4/3
What is the value of (-1)/((-4)/((-16)/12))*-18?
6
((-6)/9)/((-3)/27)
6
What is the value of ((-6)/((-60)/1))/(6/12)?
1/5
What is (-2)/(1/(2/(-4)))?
1
1/(-3)*21/840*-8
1/15
Calculate 1/(-2*4/16).
-2
-6*(16/12)/2
-4
Evaluate ((-13)/(-78))/((-2)/6).
-1/2
What is the value of (-2*15/10)/(-1)?
3
4/(-14)*8/4
-4/7
What is (3/1)/(-3)*(-1)/1?
1
Evaluate (4/(-3))/(2/((-6)/(-1))).
-4
What is the value of (-6)/(-4)*(-16)/(-120)?
1/5
What is the value of 55/(-110)*(-6*2)/(-2)?
-3
What is the value of -3*4/12*-4?
4
What is 2/((-1)/(-1))*12/168?
1/7
Calculate 14/35*1*(-15)/(-2).
3
Evaluate 10/(-6)*(-190)/950.
1/3
What is ((-6)/(-2)*-1)/((-60)/(-16))?
-4/5
What is the value of (-51)/680*12*(-4)/(-3)?
-6/5
-15*2/25*-5
6
Calculate (-1)/(12/18*(-3)/2).
1
What is 7*1/((-105)/10)?
-2/3
((36/(-6))/(-18))/(2/18)
3
(-7)/((-14)/5)*4/5
2
What is ((-32)/(-48)*(-2)/4)/(-1)?
1/3
Evaluate ((24/3)/2)/(410/(-123)).
-6/5
What is the value of (-38)/171*3/2?
-1/3
Evaluate (27/36)/(18/(-4)).
-1/6
Evaluate (12/(-4))/(8/(-8)).
3
What is ((-71)/(-71))/(1*(-1)/(-1))?
1
((-4)/(-5))/((-1274)/(-245))
2/13
What is the value of 6/(-9)*12/(-8)*-3?
-3
Evaluate (4/4)/((-1)/((-3)/(-21))).
-1/7
What is the value of (-20)/5*(7/(-2))/(-7)?
-2
What is (72/30)/(-3)*(-3)/(-12)?
-1/5
39/(-52)*40/165
-2/11
What is the value of (0/(-2))/(-1
|
{
"pile_set_name": "DM Mathematics"
}
|
der.
v, 4, p
Let p be ((-6)/(-4))/(48/64). Put p, -72, -5 in increasing order.
-72, -5, p
Let k = 1 + -1. Suppose v + v = k. Suppose s - 2*h + 1 = 2, -5*s = 2*h + 19. Put v, s, -5 in decreasing order.
v, s, -5
Let i(k) = -k**2 + 5 + 0 + 4*k + k. Let j be i(5). Let d be (4 + 1)*-1*1. Put -1, j, d in descending order.
j, -1, d
Let b = 3 - -9.4. Let w = -12 + b. Put w, -0.3, 2/7 in decreasing order.
w, 2/7, -0.3
Let n be -5*-2*(-4)/(-10). Let i = 8 - 10. Let m be 51/(-15) - i/5. Sort m, -2, n.
m, -2, n
Let k = 14.1 + -14. Let i be 5/6 + 2/(-2). Let g(v) = 2*v - 13. Let r be g(8). Put r, k, i in increasing order.
i, k, r
Suppose 1 = -3*z - 14. Let r be (-6 - -7)/((-1)/(0 + -1)). Put r, 0, z in increasing order.
z, 0, r
Suppose -6*l + 2*l - 20 = 0. Let g = 4 + -4. Suppose -5 = 5*r, 3*z - 2 = -4*r - g. Sort l, 4, z in increasing order.
l, z, 4
Let b = -6 - -8. Suppose 3*g - 6 = -b*d - d, -4*g = -d + 7. Suppose 0 = 2*u - 7*u - 4*w - 13, u + d*w - 4 = 0. Sort 1, -2, u.
u, -2, 1
Let n = 4 + -7. Sort n, -18, -2.
-18, n, -2
Let u = -1 + -2. Let k = -1 + 2. Let a(l) = -4*l + 3. Let f be a(2). Put f, u, k in decreasing order.
k, u, f
Let y = 89 - 88.41. Let m = -0.01 - y. Let j = 0.2 + m. Sort -5, 4, j in increasing order.
-5, j, 4
Suppose 0 = 5*v - 12 - 8. Let b be (18/(-8))/((-6)/16). Suppose 0 = 4*t - b - 14. Put -5, t, v in decreasing order.
t, v, -5
Let r = -1 + -1. Put 0, 4, r, -0.5 in descending order.
4, 0, -0.5, r
Let w be (7 - 9)*6/(-32). Let v = 11 - 7. Put 3, w, v in descending order.
v, 3, w
Let a = -30.43 - -30. Let w = 0.03 + a. Sort 0.3, w, 5 in decreasing order.
5, 0.3, w
Let n = 92.8 + -93. Let h(j) = -j**2 - 5*j - 1. Let d be h(-5). Sort d, -0.3, n in descending order.
n, -0.3, d
Suppose c - 4 = 5*c. Sort -4, c, 2.
-4, c, 2
Suppose 4*q - 4 = -0. Suppose -4*s + 7 = -5*z + 2*z, -15 = -5*z. Suppose 0 = 3*a + 6 + 9. Put a, s, q in descending order.
s, q, a
Suppose -y - 10 = 5*g, -4*y = 3*g - 2*g - 17. Let f = 0.26 + -1.36. Let v = f + 0.8. Sort -1, g, v in decreasing order.
v, -1, g
Let f = -5.03 - -0.03. Sort -3, -2, f.
f, -3, -2
Let w = -7.2 - 0.8. Let g = w + 8. Let i be 16/140 + (-4)/10. Sort i, g, 0.4.
i, g, 0.4
Let s = 0.04 + -3.04. Let g = 7 + -22. Let r be 0 + 1 - (-6)/g. Sort r, s, -5 in ascending order.
-5, s, r
Suppose 5*z - 9 = -4*p, -4*p = 11 + 5. Suppose 9 = -4*v - d, -z*d - 5 = -v - 2. Put v, -1, -5 in descending order.
-1, v, -5
Let c(a) be the third derivative of a**6/120 + 3*a**5/20 - a**4/24 - 2*a**3/3 + 2*a**2. Let f be c(-9). Sort f, -5, 3.
-5, 3, f
Let o be (-12)/4 + (-1 - -6). Let h be (-1*6)/(1 - 3). Let k = 7 + -11. Sort o, k, h in increasing order.
k, o, h
Let q = 12 - 12. Put -1, -5, q in ascending order.
-5, -1, q
Let n = 12 + -7. Let m = -3.7 - -4.2. Put n, m, -2/9 in ascending order.
-2/9, m, n
Let w(u) = u**2 - 6*u - 10. Let f be w(7). Let x be 259/(-35) - (-2)/5. Let z = 6 + x. Sort z, f, 4 in decreasing order.
4, z, f
Let d = -1.1 - -1.4. Put -0.4, -4, d in decreasing order.
d, -0.4, -4
Let t(w) = w - 4. Let z be t(6). Put z, 4, 3 in descending order.
4, 3, z
Let q = -16.1 - -16. Put 0, q, 4 in increasing order.
q, 0, 4
Let j(t) = -3*t**2 + 18*t + 5. Let u be j(6). Suppose 4*z + 0 = 5*i + 20, -3*z + 15 = -3*i. Put i, -3, u in descending order.
u, i, -3
Suppose 40 = -t + 39. Sort -13, 1, t in decreasing order.
1, t, -13
Let k be -4*(1 - (-2 - -5)). Let n = 13 - k. Put -3, n, -4 in increasing order.
-4, -3, n
Let g = -1 + 0. Let f be (102/(-15))/(g/(-5)). Let p be 1/(-4) - f/8. Put -3, 3, p in increasing order.
-3, 3, p
Suppose p - 57 = -4*u, -5*p + 34 + 43 = 4*u. Let x = u - 8. Put 4, -5, x in descending order.
x, 4, -5
Let x = 24 - 36. Let g = x - -21. Let v be (6/g)/(2/3). Put -5, v, -2 in descending order.
v, -2, -5
Suppose 8*s = 3*s + 5. Put s, -3, 5 in increasing order.
-3, s, 5
Let n = 2.5 + 0.3. Let c = 3 - n. Sort -2/15, 1/4, c in increasing order.
-2/15, c, 1/4
Let c be (-17 - -12)*(-2)/2. Suppose -h - 16 = h + 4*b, 6 = -2*h - 2*b. Put c, h, 4 in ascending order.
h, 4, c
Let q = 0.2 + 0.1. Let h = 1207 + -1212.11. Let b = -0.11 - h. Sort q, b, -2.
-2, q, b
Let y = 6 - 9. Sort 9, -4, y in decreasing order.
9, y, -4
Let q = 17 - 20. Let l be 2 + -4 - (q - -3). Put 3, l, 2 in increasing order.
l, 2, 3
Let f = 69 - 69.17. Sort -5, f, -4.
-5, -4, f
Let d = -15 - -15.07. Let a = -177 + 180.07. Let b = d - a. Sort -5, -4, b.
-5, -4, b
Let k = 23 + -5. Let z = k - 13. Put -5, z, -4 in descending order.
z, -4, -5
Let z be ((-3)/2133)/(5/(-5907)). Let g = 2/395 + z. Sort 2, -0.5, g in descending order.
2, g, -0.5
Let d = -0.09 - -0.99. Let v = -1 + d. Sort -1, v, 2/7 in decreasing order.
2/7, v, -1
Let t = 15.8 + -16. Sort t, -0.1, 5 in increasing order.
t, -0.1, 5
Suppose 2*l = -0*l - 6. Let g be (-14)/(-21) + (-4)/6. Suppose 0 = -g*r + 4*r. Sort r, 1, l in decreasing order.
1, r, l
Let b be 7/14*2/(-1). Put 4, b, 6 in decreasing order.
6, 4, b
Suppose -3*l + 7 = -2*l. Suppose n - 12 = 4*n + 5*j, n - 2*j - l = 0. Sort n, 5, 4/3 in descending order.
5, 4/3, n
Suppose 4*g + 3*p - 34 = -2*p, -2*p - 14 = -3*g. Suppose -5*l = -g + 26. Sort 2, 1, l in ascending order.
l, 1, 2
Suppose -a - 3*a + 21 = 3*h, 4*a = h + 9. Let m(j) = -j**3 + j**2 - j - 4. Let y be m(0). Sort -6, a, y.
-6, y, a
Let w = 409 + -404.91. Let r = -0.09 + w. Sort -0.3, r, 3/4.
-0.3, 3/4, r
Let h = -0.23 - -0.03. Let t be (-20)/(-6)*(-15)/(-10). Put 1, t, h in descending order.
t, 1, h
Let j be (-16)/24 + (-8)/(-3). Let k be (-1 + j)/(3 + 1). Let c = 8 + -6. Sort k, -0.5, c in ascending order.
-0.5, k, c
Suppose -6*f = -3*f - 3*m + 21, -5*f = -m + 47. Let b be (0 + 2)/((-4)/f). Sort 4, 1, b in descending order.
b, 4, 1
Let v = -15 - -23. Suppose 26 = -2*g + 4*q - v*q, -4*q = 3*g + 31. Suppose 3*s = -3*a + 6, 0*s = a - 4*s + 3. Sort 3, g, a in ascending order.
g, a, 3
Suppose -4 + 16 = -4*i. Let t(u) = -u**3 - 4*u**2 - 3*u + 3. Let l be t(i). Sort -5, l, -1 in increasing order.
-5, -1, l
Let t = 0.3 - 0.1. Suppose -4*a + a = -78. Let k be (-4)/2 + a/14. Sort 5, t, k in increasing order.
k, t, 5
Let q be 1/6 - (-143)/546. Sort q, 5/3, 0.
0, q, 5/3
Let n be -4*(-4)/(-11 - -3). Suppose 0*s + 1 = s. Put -5, n, s in decreasing order.
s, n, -5
Suppose 7*j + 8 = -j. Let i = 8 + -5. Let y = -2 - -3. Put j, i, y in increasing order.
j, y, i
Let v = 0.81 + 5.79. Let j = 7 - v. Let k = 0.1 + 0. Sort k, j, 2/3 in descending order.
2/3, j, k
Suppose -34 = -4*x - 14. Suppose 0 = -h - 2*h + 2*n + 5, -h = x*n + 4. Let b be (3 - h) + -4 - -1. Put 2, b, -2 in descending order.
2, b, -2
Let g = -0.04 + -0.36. Let w = -3.6 + g. Sort 0, 0.1, w in increasing order.
w, 0, 0.1
Let b(q) = q - 2. Let d be b(-1). Sort d, 1, 4.
d, 1, 4
Suppose 4*f + 2 - 6 = 0. Let k = -3 - -2. Sort 5, k, f in decreasing order.
5, f, k
Let z(m) = -m**3 - 5*m**2. Let p be z(-5). Put p, -3, -2 in increasing order.
-3, -2, p
Let l(m) = m + 8. Let x be l(-6). Let j be (-272)/(-72) + x/9. Sort -2, j, 2 in increasing order.
-2, 2, j
Let f(k) = k**2 - 5. Let n be f(0). Let t = -0.65 + -0.05. Let h = t - -0.2. Sort n, 5, h in descending order.
5, h, n
Let x = -8.1 - -0.1. Let l = 11 + x. Sort 0.06, 0.3, l in decreasing order.
l, 0.3, 0.06
Suppose -g - 34 + 38 = 0. Sort 0.4, g, 18.
0.4, g, 18
Suppose 0 = a + a - 78. Sort a, -3, -4 in decreasing order.
a, -3, -4
Let t be (-1)/(8/3 - 3). Put 9, t, 2/13 in descending order.
9, t, 2/13
Let i(k) = k**3 - 7*k**2 - 4*k + 1. Let x be (-3 - -1) + 7 + -1. Let o(t) = -t**3 + 6*t**2 + 4*t - 1. Let g(f) = x*o(f) + 3*i(f). Let c be g(4). Sort c, 4, 2.
c, 2, 4
Let u be ((-6)/(-2) + 2)/(-1). Sort -4, 0, u.
u, -4, 0
Suppose -12 = -3*i, -2*y - 4*i = -2*i. Suppose 0 = x + 2*x - 12. Suppose 6*d = 5*d - 5. Put d, x, y in descending order.
x, y, d
Let p = -6.84 + 5.9. Let m = p + -0.06. Put 0.3, m, -2/19 in ascending order.
m, -2/19, 0.3
Let v = 9.91 - 10. Let o = -60 + 57. Sort v, o, 4 in descending order.
4, v, o
Let u = -0.4 - -0.7. Let x be 4/(3*(-1)/(-3)). Put x, u, -2 in decreasing order.
x, u, -2
Let p = -36 - -29. Sort -4, p, 2/11 in increasing order.
p, -4, 2/11
Suppose 0 = 5*n - 0*n - 0*n. Sort n, -1, 1.
-1, n, 1
Let n = 1 + -1. Suppose -5*h - 10 = 5*r, -12*r + 22 = -7*r - 3*h. Put n, r, -1/2 in descending order.
r, n, -1/2
Suppose 0 = -9*b - 4 - 14. Let p =
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + (-2)/2 + 1653. Suppose -4*l - l + o = k. Is l a multiple of 44?
False
Let f = 12601 - 6471. Is f a multiple of 13?
False
Let x(i) = -26 + 28*i + 29*i + 11*i + 217*i**2 - 220*i**2. Is 5 a factor of x(18)?
False
Let i(r) = r**2 + 13*r + 24. Let c be i(-11). Let s be (c/(-3))/((-6)/441). Suppose 2*t - 15 - s = 0. Is t even?
True
Suppose 24 = -4*g, 114*g - 115*g + 82164 = 5*j. Does 69 divide j?
False
Let y be ((-132)/88)/(0 - (-6)/8). Is 7 a factor of (-15 + 29)/(3*y/(-24))?
True
Suppose -2*s + 17 = 7. Let c(k) = k**3 - 5*k**2 - 8*k + 4. Let u be c(s). Is 103 + (-11)/4 + 9/u a multiple of 20?
True
Suppose -11*l + 10*l + 19 = 0. Let v = l - -1. Is v even?
True
Let z(f) = 3*f + 6. Let i be z(-4). Let j(t) be the first derivative of -t**4/2 - 10*t**3/3 - 15*t**2/2 - 10027. Does 27 divide j(i)?
True
Let p(n) = -698*n**3 + n**2 + n + 1. Let x be p(-1). Let u be (-20)/15*(-2)/(-4)*x. Let o = u + 666. Does 20 divide o?
True
Let m(i) = 269*i**3 - 6*i**2 + 6*i + 23. Is 55 a factor of m(3)?
False
Let z be 6/((2 + -1)*8/20). Let w(i) = 2*i**2 - i**2 - 2*i**2 - z*i**3 - 26*i**3. Is 20 a factor of w(-1)?
True
Suppose 23*o - 18*o + 35*o - 151200 = 0. Is o a multiple of 60?
True
Let b be ((-28)/(-6))/(2/6). Suppose 147*j - 60*j + 242 = -155*j. Does 14 divide 7/(b/(-6)) - (-144 - j)?
True
Let s = -1168 - -1707. Suppose -2*o + 53 = s. Is (-1)/(3/o)*2/6 a multiple of 6?
False
Suppose u + 11 = -5*k, -2*u + 17 = 2*k + 31. Does 10 divide (-33)/22*692/u?
False
Let d be (-312)/(2/1) - (-158 + 161). Let l = d - -179. Is 13 a factor of l?
False
Let r = 1641 - 515. Does 7 divide r?
False
Let s(d) = 5*d**2 - 4*d - 7. Let l be s(6). Let f(w) = 70*w - 1769. Let g be f(26). Let j = l + g. Does 58 divide j?
False
Let h = -13 - -22. Suppose 0 = -5*o + 4*g + 304, 2*o - 2*g - 129 = -h. Is (3 - o/12)*-39 a multiple of 13?
True
Let r = -1351 - -1681. Does 66 divide r?
True
Suppose 31*t + 2177 + 1388 = 0. Let x = 175 + t. Is x a multiple of 12?
True
Let l(n) = -5*n**3 - 16*n**2 - 73*n - 20. Let q(h) = h**3 + 4*h**2 + 18*h + 5. Let c(b) = -2*l(b) - 9*q(b). Does 3 divide c(7)?
True
Let t(g) = 2*g**2 - 27*g - 122. Let s be t(-22). Suppose 0 = -137*i + 129*i + s. Does 15 divide i?
True
Let g(v) = v**2 + 6*v - 12. Let d be g(-6). Does 16 divide -4 + (-282)/(d/4)?
False
Let b(r) be the first derivative of r**3/3 + 3*r**2 + 4*r - 16. Let o be b(-7). Suppose o*d = 4*d + 448. Does 5 divide d?
False
Suppose -2*d = -v, -v - 4 - 10 = 5*d. Let o(z) = z**3 + 4*z**2 + 2*z - 1. Let m be o(d). Suppose -m*t + 689 = -f, -t = -5*t - 5*f + 925. Is 46 a factor of t?
True
Suppose 7*o + 0*o + 3*o = 0. Let f = 2 - o. Suppose 35 = 5*b - f*c, -2*b = 2*c - 5*c - 3. Is 4 a factor of b?
False
Let z = 1036 + -730. Let i = 46 + z. Is 44 a factor of i?
True
Let i = -36 - -35. Let g be i/(2 + 44/(-20)). Suppose 14 = g*m - 116. Is 4 a factor of m?
False
Suppose -2*y = 11*y + 845. Let x = y + 65. Suppose x = 12*f + 258 - 2466. Is 46 a factor of f?
True
Suppose -13408 - 3377 = -11*x + 10132. Is 5 a factor of x?
False
Suppose -3*g = 5*a - 1436, 2*g + a + 419 = 1367. Does 4 divide g?
True
Let h(r) = 32*r**2 + 3*r - 10. Let o(u) = 63*u**2 + 5*u - 21. Let t(x) = 5*h(x) - 2*o(x). Is 46 a factor of t(2)?
True
Suppose 4*k - 14*k + 150 = 0. Suppose k*s - 2479 - 221 = 0. Does 12 divide s?
True
Let k be (0 - -1 - -2) + (-26780)/(-52). Suppose -34*x = -41*x + k. Does 2 divide x?
True
Suppose -1171*i - 3*f - 149712 = -1174*i, -f + 49888 = i. Is 216 a factor of i?
True
Let q(b) = 533*b - 3560. Is 24 a factor of q(16)?
True
Suppose -3*o = -6*o + 15. Suppose -2*h = -t - t - 200, -2*t = o*h - 521. Suppose -5*x - 4*j = -577 + h, -3*j = x - 97. Is x a multiple of 15?
False
Let p(g) = -2*g**2 + 21*g + 38. Let y(t) = 3*t**2 - 31*t - 13. Let z be y(11). Does 13 divide p(z)?
True
Let c be (362/(-2))/((-2)/6). Suppose t = c + 516. Is 16 a factor of t?
False
Let n be (76/(-6) - -1)*(61 + -49). Is 10 a factor of (1203/(-15))/(28/n)?
False
Let v(z) = 6*z + 210. Let j = -388 - -388. Is 14 a factor of v(j)?
True
Let b(x) = x**2 - 10*x + 22. Let m be b(9). Suppose -34 = -m*f + 57. Suppose -f*l = -577 - 494. Is l a multiple of 9?
True
Let l be 0/(-4*-1*(-2)/4). Suppose 2*x + o + 1081 = l, -3*x + 351 = 2*o + 1975. Let v = -318 - x. Is 20 a factor of v?
True
Let q be (-25)/75 - (-16)/3. Suppose -1966 = -2*g - q*y, g + 993 = 2*g + 5*y. Is 14 a factor of g?
False
Is (-378)/28*-492 - 14 a multiple of 88?
False
Let m(r) = 286*r**2 + 97*r + 16. Is m(-4) a multiple of 13?
False
Let c(d) = d**3 + 13*d**2 - d - 9. Let w be c(-13). Suppose w*v = 4*j + 28, -3*v + 5*j = -0*v - 29. Suppose -v*h = -11*h + 960. Is h a multiple of 12?
True
Let p = 13338 - 8638. Is p a multiple of 20?
True
Is 11 a factor of 5 + (1 - -6) + 164?
True
Let f(d) = 3*d**2 - 27*d + 53. Let l(a) = -16*a**2 + 136*a - 267. Let w(n) = 11*f(n) + 2*l(n). Is w(35) a multiple of 21?
True
Is 3 a factor of (90675/3)/5 - (76 + -67)?
True
Let j = -63 + 55. Does 6 divide 6*j/60*-85?
False
Does 15 divide 1529469/90 + 82*6/(-120) + 4?
False
Suppose 0 = -2*t + 4 - 0. Suppose 0 = g + t*g - 3*l - 387, -5*l + 20 = 0. Suppose -3*y = -m - g, 2*m + 0*m - 4 = 0. Is y a multiple of 15?
True
Is (10 - 16) + 16 + 1022 even?
True
Suppose x + 3*t + 26 = -228, -3*t - 1210 = 5*x. Let g = -122 - x. Is g a multiple of 9?
True
Let b(q) = -8*q + 3*q + 20 - 22. Let x be b(-1). Is 10 a factor of (3/(-4))/(x/(-8)) + 144?
False
Let b = -3241 - -7661. Is 26 a factor of b?
True
Let n(y) = 0 - 4*y**2 + 54*y**3 - 2 + 2*y - 10*y**3 - 2. Is 16 a factor of n(2)?
True
Suppose 2*f + 2142 = 5*f. Suppose -f = -32*y + 18*y. Is y a multiple of 6?
False
Suppose -5*v + 72426 - 19711 = 5*n, -42165 = -4*v - 5*n. Does 43 divide v?
False
Suppose 0*f + 5*f - 2050 = 0. Suppose 137 = -3*x + 2*k + f, -2*x + 4*k + 190 = 0. Is 3 a factor of x/6 - (-4)/24?
True
Let n(a) = -a**3 + 4*a**2 + 8*a - 4. Let j be n(5). Let g = 1810 + -1511. Let f = g + j. Is 31 a factor of f?
True
Let r be 8163/12 + -3 + 4/(-16). Suppose 2*l = -5*f + 3361, r = f + 2*l - 4*l. Is 28 a factor of f/4 - 1/4?
True
Suppose 39 + 111 = 25*v. Suppose 0 = -2*n - y + 1856, v*n = 3*n + 3*y + 2793. Does 15 divide n?
False
Let a = 2464 + -709. Suppose -c = t + 5*c - 882, -2*t - 3*c + a = 0. Is 11 a factor of t?
False
Let z(n) = -n**2 - 11*n - 10. Let x be z(-9). Suppose -x*h + 15 = -11*h. Let o(k) = 9*k**2 + 7*k + 8. Is 25 a factor of o(h)?
False
Suppose -10*j + 86085 = -12315. Is j a multiple of 15?
True
Let x(s) = -1 - 6 - s**2 + 5*s + 10*s - 4*s. Let g be x(10). Suppose 370 = 4*n + g*z, -2*n - 5*z + 70 = -122. Is 13 a factor of n?
True
Let j = 35 - 19. Let t be -418*12/j*(-6)/9. Suppose -3*i = -22 - t. Does 12 divide i?
False
Let m = 17125 - 10724. Is 94 a factor of m?
False
Let n(t) = t**3 - 23*t**2 + 10*t - 46. Let v be n(23). Suppose -a - 4*o = -0*o - 46, -v = -5*a + 3*o. Is 38 a factor of a?
True
Suppose -7*b + 4*p = -6*b + 20, 0 = 5*b + 5*p - 25. Is (-34)/(-2)*(b - -1) a multiple of 2?
False
Suppose 0 = 4*n - h - 367, 3*n - 10*h - 289 = -12*h. Does 31 divide n?
True
Let h(n) = -n**3 + 11*n**2 + 28*n + 264. Does 48 divide h(-10)?
False
Is 9 a factor of ((-8)/10*5 - -1) + 516?
True
Let x be (-7)/(-3) - 2*(-6)/(-36). Let d be -1 + (-2 - (-3 - 82)). Suppose -x*m = -0 - d. Is m a multiple of 5?
False
Let f(l) = -7*l**3 - 5*l**2 + 3*l - 18. Let j(u) = u. Let g(q) = -f(q) - 5*j(q). Does 31 divide g(3)?
False
Suppose 17 = 5*l - 3*y - 50, -3*l + 45 = 3*y. Suppose l*p = p + 1339. Let o = p - 91. Is 3 a factor of o?
True
Suppose 4*c = 2*g + 8, -17 = -5*g + 2*c - 5. Suppose g*o + 0*j + j - 982 = 0, -2*j + 1229 = 5*o. Is 35 a factor of o?
True
Suppose 249 = -2*u + 243, 2*u - 31434 = -12*j. Is j a multiple of 116?
False
Suppose -9*v + v + 80 = 0. Suppose 0 = 2*f - v*f + 600. Is 26 a factor of ((-156)/9)/2*f/(-5)?
True
Let m(h) = -7*h + 14. Let j be m(2). Is 12 a factor of ((-52)/3 - (-4 + j))*-9?
True
Suppose 147 = 4*n - 25. Let h = n - 33. Suppose h*c = 7*c + 231. Does 11 divide c?
True
Suppose -3*y - 21 = -30. Suppose -y*q - 3*b + 10 = -5, 2*b - 2 = 0. Suppose -585 = -q*s + 5*n, s + 3*n = 3*s - 295. Does 28 divide s?
True
Let o be -2 - 9 - (4 + -5). Let z be (o/15)/(3/9). Does 50 divide ((-424)/5)/z*(-5)/(-2)?
False
Let d = -64 + 59. Let j be d*(-4)/20 - (1 - 53). Let g = -1 + j. Does 13
|
{
"pile_set_name": "DM Mathematics"
}
|
= -l. Let w(b) = 7*b. Let c(k) = -14*j(k) - w(k). Let q(o) = 11*c(o) - 6*h(o). Let v(n) = 1 - 1 - 3*n. Calculate v(q(d)).
3*d
Let s(i) = 6*i - i + 6*i - 9*i. Let f(n) = 3*n. Give f(s(m)).
6*m
Let p(v) = -5*v**2. Let t(d) = 29*d. What is p(t(i))?
-4205*i**2
Let t(z) = 3*z. Let n(o) be the third derivative of -o**5/40 + o**3/3 - 8*o**2. Let k(l) be the first derivative of n(l). Determine t(k(h)).
-9*h
Let s(a) = a**2. Let i(p) = p. Let j(x) = 8*x. Suppose 0 = 4*g - 12, 0 = y + y + 5*g - 11. Let l(r) = y*j(r) + 18*i(r). What is s(l(d))?
4*d**2
Let g(h) = -2*h**2. Let w(u) be the first derivative of -3*u**3 + 27. Give w(g(t)).
-36*t**4
Let q(m) = -3*m**2. Let u(g) be the third derivative of -2*g**5/15 + 5*g**2. Calculate q(u(h)).
-192*h**4
Suppose -2*c + 5*s - 8 = 0, -3*c + s + 30 = 4*s. Let b(x) = 17*x - 7*x - c*x. Let a(i) = i**2. Calculate b(a(p)).
4*p**2
Let s(o) = -2*o + 5 - 3 + o**2 + 2*o. Let d(b) = -1. Let f = 4 - 3. Let m(g) = f*s(g) + 2*d(g). Let r(h) = h**2. Calculate r(m(q)).
q**4
Let p(z) = 2*z. Let w(o) = -4*o + 4. Let d(j) = 8*j - 9. Suppose 4 = -3*c - 8. Let n(y) = c*d(y) - 9*w(y). What is n(p(r))?
8*r
Let y(q) = -9*q**2 + 11*q**2 - q**2. Let g(c) = -12 - 4*c**2 + 12. Calculate g(y(x)).
-4*x**4
Let q(o) = 53*o. Let t(f) = 5*f**2. Calculate t(q(k)).
14045*k**2
Let l(p) = 3*p**2 - 8. Let t(x) = x**2 - 3. Let n(c) = 3*l(c) - 8*t(c). Let i(o) = -7*o. What is n(i(a))?
49*a**2
Let l(u) = -1340*u + u**2 + 1340*u. Let m(v) be the second derivative of -v**7/360 - v**4/6 - 2*v. Let f(d) be the third derivative of m(d). Calculate l(f(c)).
49*c**4
Let m(o) = 2*o. Let s(z) = -2*z. Let y(j) = -j. Let i(k) = -2*s(k) + 5*y(k). Calculate m(i(q)).
-2*q
Let z(t) = 10*t. Let y(i) be the second derivative of i**3 + 23*i. What is y(z(w))?
60*w
Let r(x) = -x. Let f(s) = 7*s. Let a(m) = f(m) + 5*r(m). Let b(n) = 9*n. Give b(a(l)).
18*l
Let h(z) = z. Let n(j) = 3*j**3 - 17*j + 47. Let u(o) = o**3 - 6*o + 16. Let y(w) = 6*n(w) - 17*u(w). Let x(p) be the first derivative of y(p). Give h(x(g)).
3*g**2
Let w(p) be the second derivative of 0*p**2 + 0 + 1/3*p**4 + 4*p + 0*p**3. Let y(u) = -u**2. Give w(y(b)).
4*b**4
Suppose -2*k - 2*j + 6 = 0, 5*j - 3 + 0 = -2*k. Let p(a) = -6*a - k*a + 10*a - 2*a. Let x(n) = 15*n. What is x(p(g))?
-30*g
Let s(w) = 5*w + 3. Let x(p) = 4*p + 2. Let m(u) = u**3 + 7*u**2 - 3. Let l be m(-7). Let f(v) = l*x(v) + 2*s(v). Let c(z) = 2*z**2. Calculate c(f(i)).
8*i**2
Let z(q) = -2*q. Let u(t) = 2*t**2 + 3*t + 75. Determine u(z(n)).
8*n**2 - 6*n + 75
Suppose -z = -0 - 1. Let n(k) = 1. Let a(x) = -2*x - 3. Let y(h) = z*a(h) + 3*n(h). Let l(r) = 3*r. Calculate l(y(t)).
-6*t
Let g(o) = o. Let m be g(3). Let t(b) = 2*b + 2*b - m*b. Let s(c) = -12*c. Let y(n) = 3*n. Let z(r) = -4*s(r) - 15*y(r). Calculate z(t(x)).
3*x
Let n(d) = -d. Let j(b) = -b**2. Let s(x) = -8*x**2. Let o(g) = -4*j(g) + s(g). Calculate o(n(l)).
-4*l**2
Let t(p) = -p**2 - p. Let a(h) = 2*h**2 + 4*h. Let l(x) = -a(x) - 4*t(x). Let d(c) be the third derivative of -c**4/3 + 4*c**2. Give d(l(w)).
-16*w**2
Suppose -h = -2*h. Let j be 5 - h - (1 - -1). Let n(f) = 0 - j*f + 0. Let u(y) = 2*y. What is u(n(m))?
-6*m
Let x(s) be the third derivative of -s**4/8 - 5*s**2. Let u(t) = -2*t**2. What is x(u(d))?
6*d**2
Let z(y) be the second derivative of -y**4/4 + 8*y. Let p(s) = 3*s**2. Give z(p(i)).
-27*i**4
Suppose 5*w - 9 = 1. Let c(d) be the first derivative of 1/2*d**2 - w + 0*d. Let y(j) = j**2. Give y(c(z)).
z**2
Let s(o) = -o**2. Let b(x) = 5*x**2 + 33. What is b(s(p))?
5*p**4 + 33
Let s(n) be the third derivative of n**4/12 - 30*n**2. Let z(a) = -9*a. Give z(s(i)).
-18*i
Let n(h) = -5*h**2. Let l(o) = -7*o**2 - 5. Let y = 11 - 7. Let t(p) = -6*p**2 - 4. Let b(x) = y*l(x) - 5*t(x). What is n(b(g))?
-20*g**4
Suppose -16*t = -21*t + 10. Let w(o) be the second derivative of 1/6*o**3 + o + 0*o**t + 0. Let y(d) = -3*d. Determine w(y(i)).
-3*i
Let i(h) = 3*h**2 - 19. Let x(f) = -12*f. Give x(i(m)).
-36*m**2 + 228
Let f(q) be the second derivative of q**4/6 + 11*q. Let m(x) = -12*x. Calculate f(m(g)).
288*g**2
Let a(m) = 9*m**2. Let q(l) = -36*l**2. Calculate q(a(p)).
-2916*p**4
Let c(j) be the first derivative of 0*j**2 - 2/3*j**3 + 0*j - 7. Let y(m) = m**2. Determine c(y(b)).
-2*b**4
Let t(v) = v. Suppose 13*s = 12*s + 4. Let p(j) be the third derivative of 0 - 1/8*j**s + 2*j**2 + 0*j + 0*j**3. Determine t(p(z)).
-3*z
Let m(u) = 17*u. Let h(l) be the third derivative of l**4/12 - 9*l**2. Calculate m(h(f)).
34*f
Let b(j) = 3*j. Let x(v) = -376*v**2. Determine b(x(w)).
-1128*w**2
Let u(b) = b**2 + 8*b + 12. Let d be u(-6). Let o(m) = -m**2 + d*m**2 - 4*m**2. Let f(v) = -v**2. Determine f(o(x)).
-25*x**4
Let f(x) = x**2. Let u(a) = 311*a**2. Determine f(u(p)).
96721*p**4
Let p(r) = -9 + 12 + 3*r - 3. Let b(d) = 7*d**2. Calculate p(b(l)).
21*l**2
Let m(p) = -8*p. Let f(x) = -64*x - 2. Determine f(m(h)).
512*h - 2
Let n(m) = -3*m + 0*m + m. Let r = -72 + 39. Let l(d) = 5*d - 11. Let x(z) = z - 2. Let q(w) = r*x(w) + 6*l(w). Give n(q(y)).
6*y
Let p(s) = -3*s + 10. Let t(g) = 2*g. What is p(t(b))?
-6*b + 10
Let r(y) = -3*y**2. Let m(b) be the second derivative of -b**3/3 - 4*b. Calculate m(r(p)).
6*p**2
Let j(l) = -45*l**2. Let m(x) = 5*x**2. Let p(u) = 6*j(u) + 55*m(u). Let s(v) be the second derivative of -v**3/6 - 65*v. What is p(s(b))?
5*b**2
Let g(n) = 2 - 2 + 2*n. Let b(y) = 8*y - 2*y - 2*y**2 - 6*y. Give b(g(f)).
-8*f**2
Let h(o) = -o. Let z(y) = y**2 - 5*y - 10. Let w be z(7). Let c(v) = -w + 4 + 5*v - v. Give h(c(m)).
-4*m
Let o(f) = -2*f + f + 3*f. Suppose 0*t = 2*t - 8. Let c(m) = t*m - 3*m - 5*m + 2*m. Give o(c(d)).
-4*d
Let p(i) be the second derivative of -i**4/4 + 2*i. Suppose 0 = -5*j + 9*j - 52. Let h(x) = -x + 0*x + j - 13. What is h(p(k))?
3*k**2
Let b(v) be the second derivative of 0*v**3 + 1/12*v**4 + 0*v**2 + 2*v + 0. Let q(l) = l. Calculate q(b(t)).
t**2
Let s(p) = -2*p. Let z(i) = -i - 1. Let d(u) = u**2 - 5*u - 2. Let g be d(6). Let c(h) = h**2 + h + 1. Let m(j) = g*c(j) + 4*z(j). Determine s(m(r)).
-8*r**2
Let a(j) = -4*j**2 - 7*j. Let f(i) = 4*i**2. Determine a(f(v)).
-64*v**4 - 28*v**2
Let p(r) = r**2 + 33. Let y(h) = -h**2. Calculate y(p(w)).
-w**4 - 66*w**2 - 1089
Let u(n) be the third derivative of -n**7/1008 - n**5/15 - n**2. Let r(f) be the third derivative of u(f). Let a(s) = 2*s. Calculate a(r(b)).
-10*b
Let r(p) = 24*p. Let q(j) = -6*j**2 + 3. Let l(a) = 5*a**2 - 2. Let n(h) = 3*l(h) + 2*q(h). Give n(r(t)).
1728*t**2
Let x(r) = -r**2. Suppose 4 = 2*g - i, 3*i = -g + 17 - 1. Let y(w) be the second derivative of 0*w**3 - 1/12*w**g - w + 0 + 0*w**2. What is x(y(z))?
-z**4
Let m(j) = -2*j. Let a(x) = x. Let y be (-6 + 9)/((-3)/(-4)). Let v(k) = y*m(k) + 11*a(k). Let g(d) = -d. Give v(g(l)).
-3*l
Let j(t) = -6*t + 8*t - t. Let f(c) = -c**2. Give f(j(k)).
-k**2
Let g(i) = -i**2. Let p(m) be the third derivative of 0*m**3 - 6*m**2 - 1/6*m**4 + 0*m + 0. Calculate p(g(f)).
4*f**2
Let l(r) = 32*r. Let y(g) = -402*g**2. Calculate y(l(n)).
-411648*n**2
Suppose 5*o = 6*r - 2*r + 18, -r = 2*o - 2. Let s(l) = l - o*l - 3*l + l. Let i(t) = -2*t**2 + 0*t**2 + 0*t**2. Determine i(s(c)).
-18*c**2
Let z(s) = 1 - 1 + 4*s. Let k(j) be the second derivative of 0 - 1/3*j**3 - 2*j + 0*j**2. Give z(k(f)).
-8*f
Let p(r) = 24*r**2. Let t(i) = -101*i. What is p(t(v))?
244824*v**2
Let n(t) = -2*t**2. Let d(p) be the first derivative of 0*p - 1 + 1/3*p**3 + 0*p**2. Calculate n(d(q)).
-2*q**4
Let z(h) be the second derivative of -h**4/24 + h**2 + 2*h. Let v(l) be the first derivative of z(l). Let d(y) = 2*y. Determine v(d(a)).
-2*a
Let h(r) = r + 3. Let c(n) = 3 - 12 + 8. Let u(x) = -6*c(x) - 2*h(x). Let a(f) = f + 1. Let s(v) = -10*v - 9. Let l(t) = -18*a(t) - 2*s(t). Give u(l(p)).
-4*p
Let f(b) = 2*b - 3*b + b + b. Let u(y) be the second derivative of -1/4*y**4 + 0*y**2 + 0*y**3 + 0 - y. Give f(u(j)).
-3*j**2
Let m(s) be the first derivative of -s**2 - 28. Let a(l) = 7*l - 6. Let u(x) = -56*x + 49. Let r(d) = -49*a(d) - 6*u(d). Determine m(r(n)).
14*n
Suppose -p + 3 = -0. Let d(w) = 3 + w - p. Let z(v) = -v. Let l(r) = 6*r. Let f(y) = l(y) + 5*z(y). What is f(d(b))?
b
Let v(a) = 2*a**2 - 11. Let p(i) = 2*i**2. Calculate v(p(r)).
8*r**4 - 11
Let k(n) be the second derivative of 3
|
{
"pile_set_name": "DM Mathematics"
}
|
se
Let g = -98 - -71. Let z = 31 + g. Let q = 62 - z. Does 13 divide q?
False
Let f be 18/(-2 - (-321)/156). Let l = f - 72. Does 20 divide l?
True
Let q be (-58)/580 - (-21)/10. Suppose q*p - 156 = 3*a, 8 = 2*a - 0. Does 12 divide p?
True
Suppose c = 5*c - 3*b - 5721, 2*b + 2860 = 2*c. Let q = c + -40. Is 13 a factor of q?
True
Suppose -25 = -9*c + 11. Suppose 680 = c*a + 6*n - 5*n, 173 = a + n. Does 13 divide a?
True
Suppose 8*p - 3342 = 3850. Let i = 1398 - p. Does 41 divide i?
False
Let m(u) = -6 + 4*u**3 - 5*u**3 - 4*u - 3*u**2 + 2. Let s be m(-2). Suppose 3*t = 3*p - 162, 0 = -2*p - 3*t - s*t + 108. Is p a multiple of 16?
False
Let i(n) = 87*n**3 - 2*n**2 + 1. Let y(t) = t**3 - 8*t**2 + t - 7. Let m be y(8). Let w be i(m). Suppose -114 = -2*l + w. Does 25 divide l?
True
Let p(c) = -134*c + 1606. Let u be p(12). Let i(k) be the second derivative of -k**5/20 + k**3/2 + 3*k**2/2 - k. Is 3 a factor of i(u)?
False
Let u = 417 - 417. Suppose -25*z + 35*z - 560 = u. Does 8 divide z?
True
Suppose -70 - 140 = -2*n. Suppose -w + 2*u = -150, -19*u + 15*u = 3*w - 480. Let x = w - n. Is 18 a factor of x?
False
Suppose 4*u - 3*b = 13, 2*u + b - 1 + 2 = 0. Let j(g) = 2*g - 3. Let h be j(u). Is 25 a factor of (h - -47) + 3 + -7?
False
Let h = 3714 + -2339. Does 11 divide h?
True
Suppose -k + 4*b - 35 = 0, 0 = 4*b - 17 + 5. Let f(j) = -j**2 - 41*j + 68. Is f(k) a multiple of 29?
False
Let t = -8 - -11. Suppose 4*g - 5*d = 26, -2*g + 0*d + 12 = -t*d. Does 12 divide 21*-2*(-3)/g?
False
Let n(m) = -6*m**2 + 71*m - 109. Let p be n(11). Let s = -199 - -135. Let y = p - s. Does 2 divide y?
True
Let c = 38320 - 19315. Is c a multiple of 53?
False
Let z = 21 - 42. Let v(s) be the first derivative of -s**3/3 - 14*s**2 - 67*s - 1692. Does 33 divide v(z)?
False
Let m = 14 - 15. Let f(v) = -17*v**3 - v**2 - 13*v**3 - 13*v**3. Is f(m) a multiple of 6?
True
Let o(w) = -2*w**3 - 16*w**2 + 4*w - 125. Is o(-13) a multiple of 28?
False
Suppose 0 = u + 2*x - 1462 + 16, u = -3*x + 1445. Is 5 a factor of u?
False
Let k = 12 - 4. Let l(a) = a**2 + 9*a + 5. Let h be l(-9). Suppose 92 = 3*f - 2*m, -5*f = h*m - k - 162. Is 8 a factor of f?
True
Suppose -3*h + 27 = 3*b, -4*b + 4 = -h - 7. Suppose b*p = -3*g + 757, -5*p = -2*g + 266 + 208. Is g a multiple of 19?
True
Let a(n) = n**3 - 25*n**2 + 28*n - 18. Suppose 125 = 4*d - 5*f, -3*d + 4*f = -41 - 54. Does 31 divide a(d)?
True
Is 27 a factor of 36/(-15)*(8 + 2 - 865625/50)?
True
Let j(q) = q**3 + 26*q**2 - 14*q - 7. Let n be j(-17). Suppose 4*c + 2*c = n. Does 32 divide c?
False
Suppose 2*w + 170 = -3*n, 4*n - 7*w + 221 = -4*w. Let h = 497 + n. Is h a multiple of 18?
False
Suppose 85*n - 139889 - 67009 = -21938. Is 17 a factor of n?
True
Suppose 2779809 + 2882771 = 110*g. Does 120 divide g?
False
Let i be ((-2)/(-4))/((-9)/(-180)). Is 23 a factor of ((-184)/i)/(4/(-50))?
True
Let t be ((-3105)/18)/23*8/10. Is (t - (-2226)/2) + 3 a multiple of 15?
True
Let u(f) = -8*f. Let z be u(0). Suppose -7*g + 10*g - 684 = z. Does 11 divide g?
False
Let o(y) be the first derivative of -y**4/4 + 2*y**3 + 5*y**2 - 10*y - 14. Let q be o(7). Let d = q - -29. Does 10 divide d?
True
Let s be -9*(-4)/(-18) + (-1 - -591). Suppose -5*b + 177 = x - s, 2*b - 294 = 2*x. Is 8 a factor of b?
True
Let m = 22 + -31. Let k(s) = 52*s**2 + 59*s - 29. Let q(r) = 23*r**2 + 29*r - 15. Let b(p) = -3*k(p) + 7*q(p). Is b(m) a multiple of 19?
False
Suppose -12*y + 2*o + 1324 = -11*y, y - 1310 = -5*o. Is 8 a factor of y?
True
Suppose -34*s = 207 - 2077. Suppose j + 2*m = -4*j + 217, 3*m = 2*j - 83. Let f = s + j. Does 20 divide f?
False
Let h(t) = -2*t**2 - 27*t - 18. Let p be h(-13). Is (-43552)/(-160) + 1/p a multiple of 19?
False
Let y = 54561 - -50977. Does 12 divide y?
False
Suppose 26 = 5*s - 2*d, 0 = -2*s - s - 3*d + 3. Suppose -3*n + 2950 = -5*u, 2*u + 4958 = 5*n + s*u. Is 30 a factor of n?
True
Suppose -34 - 190 = -7*c. Let g = c + -8. Does 10 divide ((-31)/3)/(1 + (-28)/g)?
False
Suppose 5*j = -y + 20, -3 = 4*j + 2*y - 5*y. Suppose j*p - 1652 + 540 = -k, -4*k - 5*p = -4469. Does 16 divide k?
False
Let d be 5/(-2)*(-94)/(-47). Is (d - -8 - 7) + 971 a multiple of 24?
False
Let l be 156/28 + (-12)/21. Suppose 2049 = l*u - 151. Does 55 divide u?
True
Suppose 3*s - 18 = -6*s. Suppose -3*p + 2*a + 4 = -424, a = s. Is 31 a factor of p?
False
Let o(s) = 1126*s + 264. Is 60 a factor of o(6)?
True
Let c(f) = f**3 - 9*f**2 + 17*f + 6. Let o be c(6). Suppose o = -16*m + 3492 - 324. Is m a multiple of 8?
False
Suppose -808*m = -818*m + 303030. Does 21 divide m?
True
Let h(v) be the second derivative of -v**5/20 + 2*v**4/3 + 2*v**3/3 - 13*v**2 + 2*v + 25. Is h(7) a multiple of 3?
True
Let i = 11080 - 7664. Is 56 a factor of i?
True
Suppose 8 = -5*x - 2*r, -2*r - 11 = -x - 3. Suppose x = 3*m, -7 = -h - m - 1. Suppose -q + h*j + 12 = j, -3*j + 163 = 4*q. Does 37 divide q?
True
Let a = 4505 - 4098. Is 11 a factor of a?
True
Let g be (2/3)/(9/2754). Let j(n) = n**3 - 5*n**2 - 8*n - 6. Let i be j(7). Suppose g = 2*o - i. Is 12 a factor of o?
True
Does 12 divide -7 + (1083 - -12) - 12?
False
Let n(l) = -2*l**3 + 14*l**2 - 20*l - 103. Does 6 divide n(-6)?
False
Let t(y) = 28*y**2 + 42*y + 794. Is 132 a factor of t(-31)?
True
Let x be 8/(-16) - (-3690)/4. Let j = -551 + x. Suppose 3*b - j = 241. Is 12 a factor of b?
True
Let i = -97 + 59. Let q(k) = -k**3 - 36*k**2 + 73*k - 3. Is q(i) a multiple of 35?
False
Suppose 0 = -4*r - 0*r - 3*x + 8067, 3*r + x - 6049 = 0. Does 126 divide r?
True
Let l(y) = -5*y - 29. Let h be l(-7). Let t be (-12)/(-9) + 22/h. Suppose t*g - 540 = -4*g. Is 15 a factor of g?
True
Let v(r) = 60*r - 11*r**2 - 10*r**2 - r**3 + 80 - 2*r. Does 52 divide v(-24)?
True
Let x = -41 + 31. Is (-20)/(((-2)/48)/(x/(-20))) a multiple of 10?
True
Suppose 2*u + 3*b = 9, 0 = 2*u - 5*b - 0 + 15. Suppose -5*l + u*l = -195. Suppose -a + 56 = 4*r - l, -r + 50 = -5*a. Is 12 a factor of r?
False
Let q = 5826 - -1123. Is q a multiple of 87?
False
Let o = 353 + 973. Is o a multiple of 51?
True
Suppose 9420 = 2*y + 4*g, 161*g - 159*g = -2*y + 9420. Does 30 divide y?
True
Let l be (-27)/(-4) - (10/(-40) - 0). Let d(o) = -2*o**3 + 15*o**2 + 12*o - 13. Does 42 divide d(l)?
False
Suppose 103771 = -81*l + 483499. Is 16 a factor of l?
True
Let f be (2 - 1)*(-1 + 1) + -58. Does 57 divide 6/2*(-1 - f)?
True
Let m(h) = -8*h**2 - 35*h + 161. Let f be m(6). Let c = 343 + f. Is 6 a factor of c?
True
Let t be -7*(-7)/147 + (-2)/6. Let z be -3 + 2 - t - (-159)/3. Suppose -8 = -u - 3*v, 11*u - z = 6*u - 3*v. Is u a multiple of 3?
False
Let y be (0 + 81/3)*-1. Suppose 6*a - 10*a + 748 = 4*q, 3*q - a - 541 = 0. Let k = y + q. Is 28 a factor of k?
False
Let r(y) = -y + 9. Let w be r(11). Let o be -2*1/w - -5. Is 8 a factor of (o/9)/((-2)/(-189))?
False
Suppose 2*u - 4*u + 5*v = -1202, 5*v + 1798 = 3*u. Does 79 divide u?
False
Let y be 226/(-28)*-66 - 40/(-140). Suppose 0 = t - 702 + y. Does 6 divide t?
False
Suppose y = -4*c + 4251, 2*y - 93*c - 8541 = -88*c. Is y a multiple of 87?
True
Suppose -5*r - 5*u + 2100 = 0, 21*u - 20*u - 1671 = -4*r. Let g = r + 164. Is 75 a factor of g?
False
Let g be (-3)/2 + (-1)/(-2). Let a(w) = -165*w + 6. Let s(o) = 87*o - 3. Let p(f) = 6*a(f) + 11*s(f). Does 9 divide p(g)?
True
Let h = 18845 + 15085. Does 117 divide h?
True
Suppose -3*t + g - 84 = 0, g - 42 = 2*t + 5*g. Does 75 divide 18/t*-1*2250/2?
True
Suppose -2*y - 2*g = 0, -3*y - 2*y = 3*g - 8. Suppose y*m - x - 242 = 0, -4*m + 56 = -3*m + 2*x. Suppose -6*u = 4*u - m. Is u a multiple of 4?
False
Suppose -2560 = -9*n + n. Suppose -3*s + i + 325 = 0, -s - 4*i = 2*s - n. Is 27 a factor of s?
True
Let i = 510 - 507. Suppose 3*z - 3*j = 3330, -872 = -z + i*j + 240. Is 40 a factor of z?
False
Let o be 1/1*1/(-4)*-44. Suppose -7*k + o = 4*k. Does 19 divide 23 + -28 + k*138?
True
Let j = -31 - -37. Let c = j + 60. Suppose -7 = -4*a + 5, 4*a - c = -2*u. Is 9 a factor of u?
True
Let z(d) = 161*d + 231. Let j(x) = -16*x - 23. Let u(m) = 21*j(m) + 2*z(m). Is 14 a factor of u(-6)?
False
Is 86 a factor of (-43)/(-3)*((-9070)/(-27) + 12/162)?
True
Let c(s) = 31*s**2 - 2*s + 1. Let z = -64 - -79. Suppose 4*a + 16 = 0, 2*a - 3 = 4*j - z. Is c(j) a multiple of 10?
True
Suppose 297*a + 31157 - 3331246 + 554027 = 0. Is a a mu
|
{
"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.