text stringlengths 270 8.19k | meta dict |
|---|---|
and 1 c.
7/15
Three letters picked without replacement from {c: 2, u: 2, s: 1, z: 4, w: 1}. Give prob of picking 1 s, 1 z, and 1 w.
1/30
Calculate prob of picking 4 m when four letters picked without replacement from ggmmmmgmmmmgmmmggm.
11/68
Two letters picked without replacement from tvbbmvvttdtbttttvvbv. Give prob of picking 2 m.
0
Calculate prob of picking 1 x and 1 c when two letters picked without replacement from bcxqbbbbqrq.
1/55
What is prob of picking 1 k and 1 p when two letters picked without replacement from xfkpfflklfxl?
1/33
Calculate prob of picking 1 k and 2 m when three letters picked without replacement from {s: 4, m: 2, k: 6}.
3/110
Three letters picked without replacement from {k: 1, i: 1, h: 1, x: 2}. Give prob of picking 1 h and 2 x.
1/10
What is prob of picking 1 a and 1 g when two letters picked without replacement from gamamaagaea?
12/55
Three letters picked without replacement from henlreerehehnhhenh. What is prob of picking 2 e and 1 r?
5/136
What is prob of picking 1 v and 2 z when three letters picked without replacement from zzzzvzvzzvvzzz?
45/91
Calculate prob of picking 2 b when two letters picked without replacement from xvjxbvwxxxxvxxbxxx.
1/153
What is prob of picking 2 z and 2 e when four letters picked without replacement from zzzeeezzzzzeezzzez?
11/34
Four letters picked without replacement from {t: 13, q: 3}. What is prob of picking 4 t?
11/28
Calculate prob of picking 1 c, 1 d, and 1 t when three letters picked without replacement from {c: 1, n: 2, d: 1, t: 1, u: 2}.
1/35
Calculate prob of picking 2 v when two letters picked without replacement from vjjjjvjjjvjvjj.
6/91
Calculate prob of picking 4 c when four letters picked without replacement from cmcmcccccttc.
14/99
Three letters picked without replacement from {e: 1, q: 2, i: 1, y: 2, d: 1, n: 1}. What is prob of picking 1 q, 1 e, and 1 d?
1/28
Four letters picked without replacement from ovvvvvovvooo. Give prob of picking 1 v and 3 o.
14/99
Four letters picked without replacement from {r: 4, z: 6, g: 1, v: 1, i: 1, j: 3}. What is prob of picking 3 j and 1 v?
1/1820
Calculate prob of picking 1 n and 2 a when three letters picked without replacement from rrrrrrnrranarr.
1/182
Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {p: 2, x: 1}.
2/3
Two letters picked without replacement from {y: 3, j: 1, f: 1}. Give prob of picking 1 j and 1 y.
3/10
Two letters picked without replacement from {p: 5, s: 12, w: 2}. What is prob of picking 2 s?
22/57
Calculate prob of picking 3 a when three letters picked without replacement from zlaaaalzzazl.
1/22
What is prob of picking 1 u and 3 j when four letters picked without replacement from {u: 3, j: 3}?
1/5
Two letters picked without replacement from okokookorkrrzo. What is prob of picking 1 k and 1 r?
12/91
Calculate prob of picking 3 p when three letters picked without replacement from pkpkpkpppp.
7/24
Two letters picked without replacement from {c: 1, i: 2, x: 1, q: 1, a: 1, z: 1}. What is prob of picking 1 a and 1 z?
1/21
Four letters picked without replacement from {j: 1, u: 6, g: 11, p: 1}. What is prob of picking 4 g?
55/646
Four letters picked without replacement from occmkjlo. What is prob of picking 2 o, 1 c, and 1 k?
1/35
Three letters picked without replacement from {m: 2, v: 2, z: 2, b: 1, s: 1}. What is prob of picking 1 v and 2 z?
1/28
Three letters picked without replacement from omolm. Give prob of picking 1 o, 1 l, and 1 m.
2/5
Three letters picked without replacement from {n: 3, q: 11, o: 3, k: 3}. Give prob of picking 1 o, 1 k, and 1 q.
33/380
Calculate prob of picking 1 c, 1 q, 1 l, and 1 j when four letters picked without replacement from jjvcttjjtvjttjqlq.
3/595
Calculate prob of picking 1 f, 1 q, 1 t, and 1 i when four letters picked without replacement from {a: 5, i: 1, f: 1, w: 4, t: 3, q: 1}.
1/455
Three letters picked without replacement from vbeebmcebemvhbe. What is prob of picking 2 v and 1 h?
1/455
Two letters picked without replacement from ggggggtgggtg. Give prob of picking 1 g and 1 t.
10/33
Two letters picked without replacement from yyyjj. Give prob of picking 1 y and 1 j.
3/5
Calculate prob of picking 3 l and 1 x when four letters picked without replacement from rhllxhll.
2/35
Four letters picked without replacement from {t: 1, p: 2, a: 2, q: 4, x: 1, c: 2}. Give prob of picking 2 p, 1 t, and 1 q.
4/495
What is prob of picking 4 c when four letters picked without replacement from {u: 7, c: 9}?
9/130
Calculate prob of picking 2 r and 1 p when three letters picked without replacement from ripri.
1/10
Four letters picked without replacement from {b: 1, m: 19}. Give prob of picking 1 b and 3 m.
1/5
Three letters picked without replacement from rcrrrcrrrrrc. What is prob of picking 3 r?
21/55
Four letters picked without replacement from cpfeffeeeeeofeei. What is prob of picking 1 f and 3 i?
0
Calculate prob of picking 2 a and 1 y when three letters picked without replacement from ytahyaaahy.
3/20
Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {s: 2, b: 2, m: 2, c: 2}.
1/7
Three letters picked without replacement from jjjjjsjjjjjjjjsjjs. Give prob of picking 1 s and 2 j.
105/272
Calculate prob of picking 2 b, 1 e, and 1 i when four letters picked without replacement from jieeeieibbeeibib.
9/91
What is prob of picking 3 i when three letters picked without replacement from hiihhhhhhhhiihihhhhh?
1/114
Calculate prob of picking 2 q, 1 v, and 1 f when four letters picked without replacement from {p: 3, v: 2, u: 3, f: 2, q: 2, j: 4}.
1/455
Two letters picked without replacement from {s: 1, i: 1, m: 3, v: 1, d: 1}. Give prob of picking 1 s and 1 i.
1/21
Two letters picked without replacement from eeeekddfoeeoeoedkv. Give prob of picking 1 d and 1 e.
8/51
Four letters picked without replacement from mllhhlglmlul. Give prob of picking 1 g, 2 h, and 1 l.
2/165
Four letters picked without replacement from {v: 4, r: 3, k: 7}. What is prob of picking 2 k and 2 r?
9/143
Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {l: 5, o: 2, b: 4, g: 2, d: 7}.
1/19
What is prob of picking 1 n and 1 w when two letters picked without replacement from {w: 8, n: 3}?
24/55
Calculate prob of picking 1 n, 1 f, and 1 o when three letters picked without replacement from nfnemnmmfffsfon.
4/91
What is prob of picking 1 k, 2 x, and 1 g when four letters picked without replacement from gxpgpxkggxxgpggx?
1/26
Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {n: 3, g: 2, f: 5}.
1/40
What is prob of picking 1 k and 1 b when two letters picked without replacement from bkbkb?
3/5
Three letters picked without replacement from {x: 3, q: 2, i: 3}. Give prob of picking 2 q and 1 i.
3/56
Four letters picked without replacement from {y: 3, r: 1, l: 2, d: 6}. Give prob of picking 3 d and 1 l.
8/99
Two letters picked without replacement from {n: 6, b: 3, z: 9, k: 1}. What is prob of picking 2 n?
5/57
Calculate prob of picking 2 i when two letters picked without replacement from {i: 6}.
1
Two letters picked without replacement from {v: 1, i: 1, j: 1, m: 2}. What is prob of picking 1 m and 1 i?
1/5
Three letters picked without replacement from mqkkkmqmkqdukzmk. Give prob of picking 1 d, 1 u, and 1 k.
3/280
Three letters picked without replacement from {c: 5, l: 2}. Give prob of picking 3 c.
2/7
Two letters picked without replacement from {t: 18, d: 2}. Give prob of picking 2 d.
1/190
Calculate prob of picking 1 w and 1 p when two letters picked without replacement from pwsspx.
2/15
Four letters picked without replacement from {h: 3, o: 2}. Give prob of picking 1 o and 3 h.
2/5
Calculate prob of picking 1 g and 3 v when four letters picked without replacement from {g: 14, v: 5}.
35/969
Calculate prob of picking 1 k, 1 j, and 2 n when four letters picked without replacement from {w: 2, k: 1, j: 1, z: 4, n: 3}.
1/110
Two letters picked without replacement from roxxwyoyxxnxxxyynn. What is prob of picking 1 y and 1 n?
4/51
What is prob of picking 1 e and 1 w when two letters picked without replacement from dzxzwwep?
1/14
Two letters picked without replacement from ycqvyc. What is prob | {
"pile_set_name": "DM Mathematics"
} |
What is the cube root of 1136 to the nearest integer?
10
What is the square root of 1151 to the nearest integer?
34
What is the sixth root of 494 to the nearest integer?
3
What is 3160 to the power of 1/3, to the nearest integer?
15
What is the sixth root of 8117 to the nearest integer?
4
What is 159 to the power of 1/3, to the nearest integer?
5
What is the third root of 13767 to the nearest integer?
24
What is 50116 to the power of 1/7, to the nearest integer?
5
What is 60694 to the power of 1/2, to the nearest integer?
246
What is 4670 to the power of 1/7, to the nearest integer?
3
What is the third root of 314 to the nearest integer?
7
What is the eighth root of 97692 to the nearest integer?
4
What is 38410 to the power of 1/3, to the nearest integer?
34
What is the cube root of 26584 to the nearest integer?
30
What is 1456 to the power of 1/2, to the nearest integer?
38
What is 13166 to the power of 1/2, to the nearest integer?
115
What is the third root of 556 to the nearest integer?
8
What is the cube root of 5332 to the nearest integer?
17
What is 6984 to the power of 1/3, to the nearest integer?
19
What is 52 to the power of 1/6, to the nearest integer?
2
What is 7038 to the power of 1/8, to the nearest integer?
3
What is 37473 to the power of 1/10, to the nearest integer?
3
What is 701 to the power of 1/2, to the nearest integer?
26
What is 71877 to the power of 1/3, to the nearest integer?
42
What is 886 to the power of 1/4, to the nearest integer?
5
What is the square root of 42995 to the nearest integer?
207
What is the fourth root of 104348 to the nearest integer?
18
What is the square root of 1024 to the nearest integer?
32
What is the sixth root of 10275 to the nearest integer?
5
What is 1387 to the power of 1/4, to the nearest integer?
6
What is the sixth root of 3078 to the nearest integer?
4
What is the cube root of 27235 to the nearest integer?
30
What is 2207 to the power of 1/7, to the nearest integer?
3
What is the square root of 55460 to the nearest integer?
235
What is the ninth root of 614 to the nearest integer?
2
What is 1349 to the power of 1/2, to the nearest integer?
37
What is the square root of 46188 to the nearest integer?
215
What is the cube root of 10785 to the nearest integer?
22
What is the cube root of 705 to the nearest integer?
9
What is the sixth root of 362 to the nearest integer?
3
What is the square root of 1857 to the nearest integer?
43
What is the tenth root of 6743 to the nearest integer?
2
What is 97178 to the power of 1/3, to the nearest integer?
46
What is the third root of 30191 to the nearest integer?
31
What is the seventh root of 1644 to the nearest integer?
3
What is 158019 to the power of 1/9, to the nearest integer?
4
What is 47471 to the power of 1/3, to the nearest integer?
36
What is the third root of 19094 to the nearest integer?
27
What is the square root of 299 to the nearest integer?
17
What is the ninth root of 4480 to the nearest integer?
3
What is the square root of 9906 to the nearest integer?
100
What is the cube root of 13 to the nearest integer?
2
What is 17110 to the power of 1/4, to the nearest integer?
11
What is the square root of 1052 to the nearest integer?
32
What is 26923 to the power of 1/2, to the nearest integer?
164
What is 3622 to the power of 1/2, to the nearest integer?
60
What is the third root of 552 to the nearest integer?
8
What is 1137 to the power of 1/9, to the nearest integer?
2
What is the fourth root of 9284 to the nearest integer?
10
What is 98323 to the power of 1/2, to the nearest integer?
314
What is 6705 to the power of 1/3, to the nearest integer?
19
What is the square root of 134923 to the nearest integer?
367
What is 147736 to the power of 1/2, to the nearest integer?
384
What is 590 to the power of 1/10, to the nearest integer?
2
What is 406 to the power of 1/3, to the nearest integer?
7
What is the square root of 1316 to the nearest integer?
36
What is the fifth root of 6174 to the nearest integer?
6
What is 101811 to the power of 1/2, to the nearest integer?
319
What is 554 to the power of 1/10, to the nearest integer?
2
What is 5185 to the power of 1/7, to the nearest integer?
3
What is 6118 to the power of 1/3, to the nearest integer?
18
What is the fourth root of 34277 to the nearest integer?
14
What is the third root of 561 to the nearest integer?
8
What is 437 to the power of 1/2, to the nearest integer?
21
What is 456 to the power of 1/3, to the nearest integer?
8
What is 371 to the power of 1/10, to the nearest integer?
2
What is 3230 to the power of 1/4, to the nearest integer?
8
What is 910 to the power of 1/3, to the nearest integer?
10
What is the tenth root of 387 to the nearest integer?
2
What is the square root of 61627 to the nearest integer?
248
What is the square root of 25186 to the nearest integer?
159
What is 30294 to the power of 1/6, to the nearest integer?
6
What is 186 to the power of 1/3, to the nearest integer?
6
What is the eighth root of 5256 to the nearest integer?
3
What is 11777 to the power of 1/2, to the nearest integer?
109
What is 2749 to the power of 1/6, to the nearest integer?
4
What is the square root of 726 to the nearest integer?
27
What is 14371 to the power of 1/2, to the nearest integer?
120
What is the seventh root of 582 to the nearest integer?
2
What is 962 to the power of 1/6, to the nearest integer?
3
What is 33252 to the power of 1/10, to the nearest integer?
3
What is 5115 to the power of 1/2, to the nearest integer?
72
What is 4572 to the power of 1/3, to the nearest integer?
17
What is 1085 to the power of 1/3, to the nearest integer?
10
What is 160541 to the power of 1/6, to the nearest integer?
7
What is the cube root of 1081 to the nearest integer?
10
What is the third root of 7841 to the nearest integer?
20
What is the third root of 8425 to the nearest integer?
20
What is 8330 to the power of 1/5, to the nearest integer?
6
What is the cube root of 1599 to the nearest integer?
12
What is the square root of 35 to the nearest integer?
6
What is 13323 to the power of 1/2, to the nearest integer?
115
What is the square root of 6743 to the nearest integer?
82
What is 47154 to the power of 1/2, to the nearest integer?
217
What is the fourth root of 2296 to the nearest integer?
7
What is 36998 to the power of 1/8, to the nearest integer?
4
What is the square root of 166548 to the nearest integer?
408
What is the seventh root of 1430 to the nearest integer?
3
What is the cube root of 12688 to the nearest integer?
23
What is 842 to the power of 1/4, to the nearest integer?
5
What is the square root of 2325 to the nearest integer?
48
What is 6322 to the power of 1/10, to the nearest integer?
2
What is the third root of 2266 to the nearest integer?
13
What is the ninth root of 7876 to the nearest integer?
3
What is the cube root of 44536 to the nearest integer?
35
What is the fifth root of 5318 to the nearest integer?
6
What is the fourth root of 7360 to the nearest integer?
9
What is the seventh root of 939 to the nearest integer?
3
What is 2322 to the power of 1/9, to the nearest integer?
2
What is the square root of 14610 to the nearest integer?
121
What is 10069 to the power of 1/3, to the nearest integer?
22
What is 12798 to the power of 1/2, to the nearest integer?
113
What is 10495 to the power of 1/5, to the nearest integer?
6
What is 2275 to the power of 1/5, to the nearest integer?
5
What is 49903 to the power of 1/10, to the nearest integer?
3
What is the cube root of 230 to the nearest integer?
6
What is the ninth root of 165 to the nearest integer?
2
What is 40825 to the power of 1/2, to the nearest integer?
202
What is 6798 to the power of 1/2, to the nearest integer?
82
What is the cube root of 114808 to the nearest integer?
49
What is 94 to the power of 1/3, to the nearest integer?
5
What is the third root of 28818 to the nearest integer?
31
What is 939 to the power of 1/8, to the nearest integer?
2
What is the third root of 702 to the nearest integer?
9
What is the cube root of 638 to the nearest integer?
9
What is 70711 to the power of 1/2, to the nearest integer?
266
What is the square root of 937 to the nearest integer?
31
What is 13384 to the power of 1/3, to the n | {
"pile_set_name": "DM Mathematics"
} |
791490*x**2 - 57*x + 17151.
-31582980
What is the derivative of 53879031*w + 542452666 wrt w?
53879031
What is the third derivative of -80855*k**5 + 25*k**4 + 6*k**3 - k**2 - 56*k - 68904?
-4851300*k**2 + 600*k + 36
What is the first derivative of -57461018*o**4 + 20684456?
-229844072*o**3
What is the first derivative of -3*c*d*k**2 - c*d*k + 37*c*k**2 + 3*c*k - 3*c - 130588*d + 216*k**2 - k wrt d?
-3*c*k**2 - c*k - 130588
Differentiate 159921412*a**2 + 949251707 wrt a.
319842824*a
Differentiate -11*y**4 - 762*y**2 - 2214*y - 168118332.
-44*y**3 - 1524*y - 2214
Find the second derivative of -8478956*m**5 + 4150*m - 875 wrt m.
-169579120*m**3
Find the second derivative of -27239098*v**2 - 3280593*v wrt v.
-54478196
Find the second derivative of 742815732*a**2 + 463654355*a wrt a.
1485631464
Find the second derivative of 11843*c**2*h**2 + 104*c**2*h - 3*c**2 - 62*c*h**2 + 896*c - 17*h**2 wrt c.
23686*h**2 + 208*h - 6
What is the second derivative of -114122650*t**2*w**2 + t**2 + t*w + 872*t + 2*w**3 + 2*w - 895 wrt w?
-228245300*t**2 + 12*w
What is the third derivative of -u**5 + 2439232*u**3 + 1933134*u**2 wrt u?
-60*u**2 + 14635392
Find the second derivative of 5375*c**2*w**4 + 11539*c**2*w**2 - 3*c**2*w - c**2 + 5780*c*w - 122*c - 2 wrt w.
64500*c**2*w**2 + 23078*c**2
Find the second derivative of 74976343*o**2 - 72889588*o wrt o.
149952686
What is the third derivative of -18*b**5 - b**4 + 47112*b**3 - 6342*b**2 - 1385*b wrt b?
-1080*b**2 - 24*b + 282672
What is the second derivative of -2*a**4*b**3 + 11681058*a**2*b**3 + 3*a*b**3 - 57*a*b**2 + 12*a*b - 2*b - 2 wrt a?
-24*a**2*b**3 + 23362116*b**3
Differentiate s**3*t**2 + s**3*t + 7*s**3 - 26327*s**2*t - 3397*s - 2760 wrt t.
2*s**3*t + s**3 - 26327*s**2
What is the derivative of -330142*t**4 + 204*t**3 + 111103164 wrt t?
-1320568*t**3 + 612*t**2
Find the second derivative of -569122407*f**5 + 735141077*f.
-11382448140*f**3
What is the third derivative of 1508853445*k**3*m**3 + 3258954*k**2*m + 14*k*m**3 wrt k?
9053120670*m**3
What is the second derivative of 181764877*o**2*z**3 - o*z**3 - 2*o + z**3 + 2*z**2 - 28662224 wrt o?
363529754*z**3
Find the third derivative of 130*o**3*s*z**3 + 10*o**3*s*z - 439*o**3*s - 37*o**2*z**3 - 45132*o*s*z**3 wrt o.
780*s*z**3 + 60*s*z - 2634*s
Find the third derivative of -90081970*f**3 + 290*f**2 - 333635*f wrt f.
-540491820
What is the second derivative of -654915*m**5 + 42*m**4 + 60645432*m wrt m?
-13098300*m**3 + 504*m**2
What is the third derivative of -5*c*h**4 - 103406*c*h**3 - 2*c*h**2 + 2287375*c*h + 10*h**3 + 38*h**2 wrt h?
-120*c*h - 620436*c + 60
Find the second derivative of -6384425*k**3 + 44*k + 23263 wrt k.
-38306550*k
Find the first derivative of 818*n**4*w - 982*n**4 + 13018*w + 284 wrt n.
3272*n**3*w - 3928*n**3
What is the second derivative of 15233879*b**2 + 396496*b?
30467758
Find the second derivative of -141*o**3 - 5640*o**2 + 119417660*o wrt o.
-846*o - 11280
Differentiate 835148*k**2 - 3649083 with respect to k.
1670296*k
What is the second derivative of 40995632*b**2*m*z**2 + b**2*z + 2*b*m**2*z**2 - 110*b*m**2 + 39938*b*m*z - 2*z**2 wrt z?
81991264*b**2*m + 4*b*m**2 - 4
What is the third derivative of 101671700*a**3*m**2 + 315032*a**2 - 85*a*m**2 wrt a?
610030200*m**2
What is the derivative of -105908461*v**2 - 54302488?
-211816922*v
Find the second derivative of -a**2*m**2 + 15020462*a**2*m + 2*a*m**2 + 53457*a*m - 8*m**2 - m + 13 wrt a.
-2*m**2 + 30040924*m
Find the third derivative of -439089*c*m**3 - c*m**2 + 3*c*m - 45*c + 83*m**3 - 6*m**2 - 5*m + 196 wrt m.
-2634534*c + 498
What is the derivative of 18772*n**2 - 8621*n + 95730131?
37544*n - 8621
What is the second derivative of 11948572*o**2 - 1504704*o + 2 wrt o?
23897144
What is the second derivative of 2281*p**3*z**2 - 2006145*p**3 - 73*p*z**4 - z wrt z?
4562*p**3 - 876*p*z**2
What is the first derivative of 46650*g*w**2*y - 94*g*w*y + w**2 - 1860*w*y + y + 26 wrt g?
46650*w**2*y - 94*w*y
What is the second derivative of 141026620*a**3 - 91295433*a?
846159720*a
Find the second derivative of -1332003*a**3 - 30859022*a wrt a.
-7992018*a
What is the second derivative of -176*u**2*y**3 + 100*u**2*y - 274*u**2 + 154004*u - 86*y**3 wrt u?
-352*y**3 + 200*y - 548
What is the first derivative of 1645466*o**4 + 4*o**2 - 22322006?
6581864*o**3 + 8*o
Find the second derivative of 2083*g**2*h*t**3 - 12*g**2*h*t + 6*g*h*t - 17*g*h - 4087*h*t**3 + 25*h wrt t.
12498*g**2*h*t - 24522*h*t
Find the third derivative of 28605531*j*q**5 + 4*j*q**2 - 4*j*q + 58*j - q**2 + q - 177 wrt q.
1716331860*j*q**2
Find the second derivative of -910062*a**2*w**2 + 4005*a**2*w + 3*a*w - a + 33*w wrt w.
-1820124*a**2
What is the second derivative of -62678425*q**3 - 3599263*q - 4?
-376070550*q
What is the second derivative of -205181186*z**2 - 9*z - 5108189 wrt z?
-410362372
What is the second derivative of 152644186*a**2 - 21842193*a?
305288372
Find the first derivative of 2458960*f*p**4*t - 548047832*f*t - 144*p**3*t wrt p.
9835840*f*p**3*t - 432*p**2*t
What is the third derivative of -3103771*i**4 - 13*i**3 - 421043427*i**2?
-74490504*i - 78
Find the third derivative of 4*i*j*x**3 - 58*i*j*x**2 - 4*i*j + 324*i*x**3 + 618*j*x**3 + 18*j*x**2 - 25*x**2 wrt x.
24*i*j + 1944*i + 3708*j
Find the second derivative of -1973382*v**5 + 15*v**3 - 166677606*v wrt v.
-39467640*v**3 + 90*v
Find the first derivative of 978444*u + 7649430 wrt u.
978444
Find the second derivative of -4349*c**4 - 22*c**3 + c**2 - 2*c - 1630872 wrt c.
-52188*c**2 - 132*c + 2
Find the third derivative of -29*m**5 - 989*m**4 + 9498203*m**2.
-1740*m**2 - 23736*m
Find the second derivative of 3*g**2*p**3 - 253*g**2*p**2 - 425*g**2*p + 2*g**2 + 50*g*p**3 - 75042*p**2 wrt g.
6*p**3 - 506*p**2 - 850*p + 4
Differentiate 1520*y**2 + 7602*y - 195760134.
3040*y + 7602
Find the third derivative of 184348853*p**4 - 2*p**3 - 2307*p**2 + 2069*p + 4.
4424372472*p - 12
What is the third derivative of k*u**3*z**2 - 16*k*u**3 - 58*k*u**2*z**2 - 7377*k*u*z**2 - 2*k*u - 2*k*z**2 + 150635*u**3*z**2 - u**2*z + 5*u**2 wrt u?
6*k*z**2 - 96*k + 903810*z**2
What is the first derivative of -14*n**3 + 10*n**2 - 571*n + 15961927?
-42*n**2 + 20*n - 571
Find the first derivative of 2779*c*f**2 + 1248*c - 50870531*f**2 wrt c.
2779*f**2 + 1248
What is the third derivative of 5868012*z**5 + 9*z**3 + 60641278*z**2 wrt z?
352080720*z**2 + 54
What is the derivative of -933446488*j**3 + 517913166?
-2800339464*j**2
Differentiate 689*c**2*u - 306*c*u**2 + 23357271*u**2 with respect to c.
1378*c*u - 306*u**2
What is the first derivative of n**3 + n**2 - 82352807*n - 332385364?
3*n**2 + 2*n - 82352807
What is the first derivative of 425389*y**4 + 52*y**2 - 200548639?
1701556*y**3 + 104*y
Find the third derivative of 96666525*i**3 + 4*i**2 - 22859336*i.
579999150
What is the second derivative of 2*n**2*p - 9898018*n**2 - 126*n + 634842*p wrt n?
4*p - 19796036
What is the derivative of 21856495*q**4 - 1439594?
87425980*q**3
What is the third derivative of 35815964*l**3 - 43111352*l**2?
214895784
What is the derivative of -7748541*h**2 - 803467 wrt h?
-15497082*h
Find the third derivative of 8*n**3*r**3 - 125749*n**3*r - 163*n**2*r**3 + 1363*n*r + 10*r**3 wrt n.
48*r**3 - 754494*r
Find the third derivative of 2*j**5 + 9515920*j**3 + 15744589*j**2.
120*j**2 + 57095520
Differentiate -3015*i*m**3 + 2925942*i*m**2*z - i*m**2 + 64*i - m**3*z + m**2 wrt z.
2925942*i*m**2 - m**3
What is the third derivative of -7*g**5 - 1396375*g**3 + 94995*g**2 - 45?
-420*g**2 - 8378250
Differentiate 519488963*x - 365060693 with respect to x.
519488963
Find the first derivative of -78224896*n*u + 107571756*n + 2*u wrt u.
-78224896*n + 2
What is the third derivative of 6295*c**4 + 20*c**3 + 17904*c**2 + 27*c + 1?
151080*c + 120
Differentiate 5*i**3 - 3858*i**2 + 30*i + 30341571.
15*i**2 - 7716*i + 30
Find the second derivative of 74*l**2*v**3 - 99681*l**2*v - 145856673*l*v**3 wrt l.
148*v**3 - 199362*v
Find the third derivative of -30951*n**4 + 223*n**3 + 745145*n**2 + n + 5.
-742824*n + 1338
Find the first derivative of -5889149*d**2*q**3 + 142978*q**3 + 12*q wrt d.
-11778298*d*q**3
What is the second derivative of 10*f**2*h*i + 19781*f**2*h*v - 94*f**2*i*v - 168*f*h*i*v + 2*f*h*i + 259*f*h*v - 33*h* | {
"pile_set_name": "DM Mathematics"
} |
128152*s**2/3 - 86880*s - 131044/3.
-4*(s - 181)**2*(s + 1)**2/3
Find t, given that -t**4/3 - 86*t**3/3 - 2284*t**2/3 - 6142*t - 12321 = 0.
-37, -9, -3
Solve t**5 - 89*t**4/5 + 387*t**3/5 + 81*t**2/5 = 0 for t.
-1/5, 0, 9
Let 2*y**4/3 + 4*y**3 - 14*y**2/3 - 24*y + 24 = 0. Calculate y.
-6, -3, 1, 2
Factor 4*a**4 + 600*a**3 + 30000*a**2 + 500000*a.
4*a*(a + 50)**3
Factor -j**4/5 - 3*j**3/5.
-j**3*(j + 3)/5
Solve 5*d**3/6 + 170*d**2/3 = 0.
-68, 0
Let -5*f**5 - 25*f**4 + 25*f**3 + 125*f**2 - 200*f + 80 = 0. What is f?
-4, 1
Find f such that f**5/2 - 25*f**4/2 + 69*f**3/2 - 67*f**2/2 + 11*f = 0.
0, 1, 22
Factor -8*l**3 + 124*l**2 - 172*l + 56.
-4*(l - 14)*(l - 1)*(2*l - 1)
Solve -k**3/3 + 45*k**2 - 1496*k - 4624/3 = 0.
-1, 68
Solve 3*h**3 - 882*h**2 = 0.
0, 294
Factor -3*z**2/5 - 147*z/5 + 306/5.
-3*(z - 2)*(z + 51)/5
Find t such that t**2 - 569*t + 1698 = 0.
3, 566
Factor 2*h**4/15 + 4*h**3/3 + 24*h**2/5 + 36*h/5 + 18/5.
2*(h + 1)*(h + 3)**3/15
Solve -h**4 - 5*h**3 - 3*h**2 + 9*h = 0.
-3, 0, 1
Factor -3*l**3 + 624*l**2 + 627*l.
-3*l*(l - 209)*(l + 1)
Factor -3*w**2/4 + 357*w/2 - 711/4.
-3*(w - 237)*(w - 1)/4
Factor b**2 - 76*b + 1444.
(b - 38)**2
Determine c so that -2*c**4 + 16*c**3 - 42*c**2 + 36*c = 0.
0, 2, 3
Let -4*b**5 - 686*b**4 - 6793*b**3/4 - 5587*b**2/4 - 1691*b/4 - 169/4 = 0. What is b?
-169, -1, -1/4
Factor -2*f**2/5 - 272*f/5 - 9248/5.
-2*(f + 68)**2/5
Factor -m**3 + 65*m**2/9 - 154*m/9 + 40/3.
-(m - 3)*(m - 2)*(9*m - 20)/9
Factor 5*f**5 + 30*f**4 - 50*f**3 - 80*f**2 + 165*f - 70.
5*(f - 1)**3*(f + 2)*(f + 7)
Let j**5/5 - 8*j**4/5 + 6*j**3/5 + 8*j**2/5 - 7*j/5 = 0. Calculate j.
-1, 0, 1, 7
Factor -3*g**4 - 9*g**3 + 12*g**2 + 36*g.
-3*g*(g - 2)*(g + 2)*(g + 3)
Find q such that -3*q**2 - 99*q - 186 = 0.
-31, -2
Determine b so that -b**4 + 35*b**3 + 3*b**2 - 103*b - 70 = 0.
-1, 2, 35
Solve p**4/2 + 3*p**3/2 - 8*p**2 + 6*p = 0.
-6, 0, 1, 2
Solve -3*l**4 + 9*l**3 + 84*l**2 = 0 for l.
-4, 0, 7
Factor n**4/2 + 57*n**3/2 - 153*n**2 + 124*n.
n*(n - 4)*(n - 1)*(n + 62)/2
Factor p**2/6 + 7*p/3 - 5/2.
(p - 1)*(p + 15)/6
Factor k**2/8 - 597*k/8 + 595/4.
(k - 595)*(k - 2)/8
Factor -h**4/4 - 3*h**3 - 11*h**2/4.
-h**2*(h + 1)*(h + 11)/4
Factor -n**2 + 18*n - 45.
-(n - 15)*(n - 3)
Determine y, given that -3*y**2/5 + 3*y + 72/5 = 0.
-3, 8
Suppose -8*b**2/9 - 178*b/9 - 44/9 = 0. Calculate b.
-22, -1/4
Solve 2*s**5 + 56*s**4 + 480*s**3 + 800*s**2 - 4000*s = 0.
-10, 0, 2
Factor -2*q**4/7 - 4*q**3/7 + 6*q**2/7 + 8*q/7 - 8/7.
-2*(q - 1)**2*(q + 2)**2/7
Determine d, given that 10*d**5 - 75*d**4 - 3235*d**3 - 7535*d**2 - 1395*d + 2990 = 0.
-13, -2, -1, 1/2, 23
What is z in 4*z**3 - 16*z**2 + 16*z = 0?
0, 2
Solve 2*s**3 - 12*s**2 = 0.
0, 6
Factor -2*h**4 - 12*h**3 - 16*h**2.
-2*h**2*(h + 2)*(h + 4)
Solve c**2/11 - 1126*c/11 + 316969/11 = 0.
563
What is v in 4*v**4/19 - 46*v**3/19 + 60*v**2/19 + 434*v/19 + 196/19 = 0?
-2, -1/2, 7
Factor -2*y**3 - 15826*y**2 - 31299870*y + 31315698.
-2*(y - 1)*(y + 3957)**2
Determine r so that -31*r**2 + 218*r - 7 = 0.
1/31, 7
Find k, given that 2*k**2 - 48*k + 126 = 0.
3, 21
Factor -2*g**3/5 - 88*g**2/15 - 56*g/15.
-2*g*(g + 14)*(3*g + 2)/15
Determine x, given that -x**5 - 44*x**4 - 526*x**3 - 924*x**2 - 441*x = 0.
-21, -1, 0
Suppose -3*x**3 - 127*x**2 - 165*x - 41 = 0. What is x?
-41, -1, -1/3
Find s, given that -s**2/10 + 39*s/10 + 126 = 0.
-21, 60
Factor -d**2/4 - 37*d/4 - 35/2.
-(d + 2)*(d + 35)/4
Let -o**3/8 + 27*o**2/4 - 108*o + 432 = 0. What is o?
6, 24
Factor -2*r**4/17 + 14*r**3/17 + 24*r**2/17 - 352*r/17 + 640/17.
-2*(r - 4)**3*(r + 5)/17
Factor -112*m**5 - 4*m**4 + 8*m**3.
-4*m**3*(4*m - 1)*(7*m + 2)
Factor u**3/3 - 24*u**2 + 23*u + 142/3.
(u - 71)*(u - 2)*(u + 1)/3
Factor -6*w**2/17 - 8*w/17 + 30/17.
-2*(w + 3)*(3*w - 5)/17
Factor 2*j**3/9 + 3298*j**2/9 + 1361248*j/9 + 1357952/9.
2*(j + 1)*(j + 824)**2/9
Determine c so that c**3/10 - c**2 - 37*c/10 - 13/5 = 0.
-2, -1, 13
Factor -4*p**3 + 108*p**2 - 780*p + 676.
-4*(p - 13)**2*(p - 1)
Determine x, given that 3*x**4/2 + 3*x**3/2 - 9*x**2 = 0.
-3, 0, 2
Suppose -p**2/4 + p/4 + 3 = 0. Calculate p.
-3, 4
Factor -2*m**2/19 - 664*m/19 - 55112/19.
-2*(m + 166)**2/19
Determine p so that -5*p**2 - 390*p + 395 = 0.
-79, 1
Let 15*v**2/4 - 531*v/4 + 105/2 = 0. Calculate v.
2/5, 35
Factor -v**3/4 + 5*v**2/2 + 9*v/4 - 45/2.
-(v - 10)*(v - 3)*(v + 3)/4
Find m such that -4*m**2/3 + 1256*m/3 - 98596/3 = 0.
157
Factor 8*c**3 - 426*c**2 + 1306*c - 300.
2*(c - 50)*(c - 3)*(4*c - 1)
Find d, given that d**4 - 3*d**3 - d**2 + 3*d = 0.
-1, 0, 1, 3
Factor -4*s**3 + 72*s**2 + 160*s.
-4*s*(s - 20)*(s + 2)
Suppose q**4/5 + 63*q**3/5 - 13*q**2 - 63*q/5 + 64/5 = 0. Calculate q.
-64, -1, 1
Factor -3*o**5/4 - 3*o**4/2 + 3*o**2/2 + 3*o/4.
-3*o*(o - 1)*(o + 1)**3/4
Suppose 2*i**5/3 - 14*i**4/3 + 4*i**3 + 44*i**2/3 - 14*i/3 - 10 = 0. Calculate i.
-1, 1, 3, 5
Determine o so that o**2/2 + 2003*o + 4012009/2 = 0.
-2003
Factor 4*z**4 - 88*z**3 + 532*z**2 + 192*z - 6912.
4*(z - 9)*(z - 8)**2*(z + 3)
What is f in f**5/3 - 8*f**4/3 + 8*f**3 - 32*f**2/3 + 16*f/3 = 0?
0, 2
Find u, given that -7*u**5 + 38*u**4 - 64*u**3 + 42*u**2 - 9*u = 0.
0, 3/7, 1, 3
Factor -2*h**2/5 + 314*h/5 + 636/5.
-2*(h - 159)*(h + 2)/5
Determine p, given that -2*p**3/7 - 4*p**2/7 - 2*p/7 = 0.
-1, 0
Factor n**3 + 2*n**2 - 29*n + 42.
(n - 3)*(n - 2)*(n + 7)
Let -5*t**5 - 20*t**4 + 275*t**3 + 890*t**2 - 3900*t - 9000 = 0. Calculate t.
-6, -2, 5
Find a such that -a**3 + 10*a**2 - 16*a = 0.
0, 2, 8
Let -4*h**3/3 - 232*h**2/3 = 0. What is h?
-58, 0
Factor s**3 + 27*s**2 + 47*s - 75.
(s - 1)*(s + 3)*(s + 25)
Suppose -45*y**3 + 25413*y**2 + 15282*y - 10176 = 0. Calculate y.
-1, 2/5, 1696/3
Determine b so that -18*b**2 + 87*b + 273 = 0.
-13/6, 7
Factor -2*n**5 + 4*n**4 + 16*n**3 + 4*n**2 - 14*n - 8.
-2*(n - 4)*(n - 1)*(n + 1)**3
Solve -8*z**4 + 404*z**3 - 4788*z**2 - 7904*z - 2704 = 0.
-1, -1/2, 26
Suppose 29*x**3 + 30*x**2 + x = 0. Calculate x.
-1, -1/29, 0
Let -2*u**5/9 - 172*u**4/9 - 4868*u**3/9 - 43384*u**2/9 + 58870*u/9 + 97556/9 = 0. What is u?
-29, -1, 2
Determine i, given that -2*i**2/9 - 22*i/9 - 4 = 0.
-9, -2
Solve -14*k**5 + 24*k**4 + 134*k**3 - 216*k**2 - 72*k = 0.
-3, -2/7, 0, 2, 3
Solve z**2/2 + 27*z + 693/2 = 0 for z.
-33, -21
What is u in -2*u**2 - 28*u + 30 = 0?
-15, 1
Factor 3*l**5 - 78*l**4 + 207*l**3.
3*l**3*(l - 23)*(l - 3)
Find i, given that -2*i**5/3 + 42*i**4 - 436*i**3 + 4388*i**2/3 - 1782*i + 714 = 0.
1, 3, 7, 51
Let 88*c**4 - 2*c**3 - 264*c**2 + 182*c - 4 = 0. What is c?
-2, 1/44, 1
Factor 2*c**3 - 154*c**2/5 + 12*c.
2*c*(c - 15)*(5*c - 2)/5
Factor 3*t**2 + 168*t + 2352.
3*(t + 28)**2
Factor t**3/6 - 13*t**2/3 + 145*t/6 - 38.
(t - 19)*(t - 4)*(t - 3)/6
Determine b, given that 2*b**3/11 - 54*b**2/11 - 116*b/11 = 0.
-2, 0, 29
Factor 4*k**5 + 16*k**4 - 104*k**3 + 176*k**2 - 124*k + 32.
4*(k - 1)**4*(k + 8)
Factor -3*a**5/8 - 3*a**4/8 + 3*a**3 + 9*a**2/2.
-3*a**2*(a - 3)*(a + 2)**2/8
Let o**2/4 - 607*o + 368449 = 0. Calculate o.
1214
Find k, given that -5*k**4 - 130*k**3 - 915*k**2 - 1350*k = 0.
-15, -9, -2, 0
Factor -c**2/3 - 139*c/3 + 140/3.
-(c - 1)*(c + 140)/3
Solve -2*n**5/5 - 4*n**4/5 + 4*n**2/5 + 2*n/5 = 0 for n.
-1, 0, 1
Suppose -2*g**2/5 + 16*g/5 + 378 = 0. Calculate g.
-27, 35
Factor 6*p**3 - 15*p**2 + 6*p.
3*p*(p - 2)*(2*p - 1)
Let 3*w**5/4 + 3*w**4 + 3*w**3/4 - 21*w**2/2 - 15*w - 6 = 0. Calculate w.
-2, -1, 2
Factor -7*q**2/5 - 39*q - 782/5.
-(q + 23)*(7*q + 34)/5
Factor -3*i**5/4 - 3*i**4 + 21*i**3 - 24*i**2.
-3*i**2*(i - 2)**2*(i + 8)/4
Let -25*w**2/4 - 99*w/4 + 1 = 0. Calculate w.
-4, 1/25
Let 2*g**2/7 - 12*g + 126 = 0. Calculate g.
21
Solve i**5/6 + 85*i**4/6 + 83*i**3/3 - i**2/3 - 167*i/6 - 83/6 = 0 for i.
-83, -1, 1
Factor 2*t**4 + 24*t**3 + 40*t**2.
2*t**2*(t + 2)*(t + 10)
Find f such that 2*f**3/7 + 22*f**2 - 156*f/7 = 0.
-78, 0, 1
Factor -n**3/7 - 338*n**2/7 - 28561*n/7.
-n*(n + 169)**2/7
Factor t**5 + t**4 - 3*t**3 - 5*t**2 - 2*t.
t*(t - 2)*(t + 1)**3
Find b such that b**5/8 + 17*b**4/8 + 63*b**3/8 - 81*b**2/8 = 0.
-9, 0, 1
Factor -2*y**3 + 4*y**2 + 10*y - 12.
-2*(y - 3)*(y - 1)*(y + 2)
Suppose -2*l**5 + 12*l**4 + 2*l**3 - 108*l**2 + 144*l = 0. Calculate l.
-3, 0, 2, 3, 4
Factor -3*u**2 + 90*u - 375.
-3*(u - 25)*(u - 5)
Factor x**2/10 - 113*x/5 - 423/2.
(x - 235)*(x + 9)/10
Factor -k**3/2 - 341*k | {
"pile_set_name": "DM Mathematics"
} |
2
What is 7748 divided by -56?
-1937/14
Divide 62915 by 5.
12583
What is -3737 divided by -37?
101
Calculate -78 divided by 205.
-78/205
Divide -5 by 5007.
-5/5007
What is -12205 divided by -2441?
5
Calculate -3416862 divided by 2787.
-1226
-30122 divided by -2
15061
What is 7140 divided by -1428?
-5
Calculate -29988 divided by 357.
-84
0 divided by -8636
0
What is 52 divided by -577?
-52/577
What is -1574460 divided by -3?
524820
-578268 divided by -4
144567
Divide -9784872 by -6.
1630812
Divide -8834 by -6.
4417/3
Divide -560 by -162.
280/81
Divide 1132123 by 3.
1132123/3
Divide -56 by 40805.
-56/40805
Divide -473848 by 4.
-118462
902740 divided by 5
180548
Calculate -9294 divided by 3.
-3098
Divide 2674467 by 297163.
9
What is -69116 divided by 1?
-69116
Calculate 348525 divided by 5.
69705
Calculate 114939 divided by -38313.
-3
Divide -4015 by -81.
4015/81
Divide 1752850 by 175285.
10
427683 divided by -2
-427683/2
Divide 0 by -1347480.
0
Divide -25 by 6.
-25/6
What is -82091 divided by -3?
82091/3
Calculate 4487431 divided by -13.
-345187
Divide -12068 by -4.
3017
Divide 97828 by 2.
48914
Divide -4 by 371565.
-4/371565
Divide -10370 by 16.
-5185/8
1293200 divided by -1220
-1060
-3643 divided by -380
3643/380
-135498 divided by -5
135498/5
What is -301489 divided by 301489?
-1
Calculate 10757 divided by -1.
-10757
Calculate 2 divided by -1595.
-2/1595
-4 divided by -4905
4/4905
Divide -231290 by 229.
-1010
-1007006 divided by -77462
13
What is 1279 divided by -19?
-1279/19
Divide 19171 by -4.
-19171/4
5000 divided by 2
2500
Divide -6289370 by 5.
-1257874
4970966 divided by 26
191191
Calculate -2252 divided by -1997.
2252/1997
65175 divided by -1185
-55
Calculate 964 divided by 37.
964/37
Calculate 593 divided by 491.
593/491
Divide 40830 by 6.
6805
Calculate -53800 divided by 5.
-10760
What is 385800 divided by 2?
192900
What is -515717 divided by -27143?
19
Calculate -36061 divided by 25.
-36061/25
Calculate 81840 divided by -310.
-264
Calculate -2536868 divided by 4.
-634217
What is -86076 divided by -27?
3188
Divide -283284 by -6.
47214
45765 divided by 6
15255/2
-15691 divided by -221
71
What is 179910 divided by 5?
35982
Divide -634287 by 37311.
-17
Calculate 455755 divided by 8.
455755/8
-2644595 divided by 1319
-2005
Divide 9044 by -76.
-119
Divide -455056 by 112.
-4063
Divide 273 by -8.
-273/8
Divide -82174 by 1.
-82174
-566820 divided by -113364
5
4 divided by 10582
2/5291
What is -3035574 divided by 337286?
-9
Calculate -68080 divided by -13616.
5
What is 2 divided by 7616?
1/3808
39 divided by 88942
39/88942
Calculate -132294 divided by -17.
7782
What is -66195 divided by 13239?
-5
Divide -32650 by 5.
-6530
Divide -187 by 112.
-187/112
Calculate -259134 divided by -15.
86378/5
Divide 5 by -455304.
-5/455304
580669 divided by -17
-34157
Calculate -13908 divided by 732.
-19
What is -3 divided by 141834?
-1/47278
Calculate 683 divided by 36.
683/36
Divide 596312 by -131.
-4552
Calculate -1830640 divided by -20.
91532
What is -3 divided by -8643?
1/2881
What is -22514 divided by 11257?
-2
6755 divided by 55
1351/11
1485 divided by -36
-165/4
What is -1748214 divided by 3?
-582738
Divide 82 by -64.
-41/32
59 divided by -21525
-59/21525
Calculate 2 divided by 10898.
1/5449
168392 divided by 1736
97
Calculate 870 divided by 988.
435/494
-2 divided by 19637
-2/19637
Calculate -760 divided by -804.
190/201
Divide 125568 by -6976.
-18
-1049200 divided by -6100
172
What is -50944 divided by 12736?
-4
Calculate 600 divided by 2.
300
46098 divided by -7
-46098/7
2314 divided by 5
2314/5
Calculate 185 divided by -901.
-185/901
What is -106563 divided by -2?
106563/2
-1 divided by 5969
-1/5969
Calculate 5945 divided by 404.
5945/404
Calculate 4 divided by 613537.
4/613537
Divide 166 by -15.
-166/15
Divide 2 by 11001.
2/11001
What is 13222 divided by 6?
6611/3
Divide -810 by -28.
405/14
Calculate 2 divided by 8472.
1/4236
Divide 602826 by 301413.
2
-2861076 divided by -715269
4
Divide -64848 by -4053.
16
What is 47 divided by 394?
47/394
What is 27018 divided by 1?
27018
4018 divided by -90
-2009/45
Divide 1416261 by 472087.
3
Divide 0 by 331932.
0
Calculate 1 divided by -23995.
-1/23995
Divide -2 by 25458.
-1/12729
What is 5537 divided by 5537?
1
Divide -3193680 by 6.
-532280
-29360 divided by 5872
-5
Divide 4220055 by 281337.
15
-3054 divided by 223
-3054/223
Calculate 2 divided by 357.
2/357
Calculate -1782846 divided by 1.
-1782846
What is 731712 divided by 6?
121952
1 divided by -9884
-1/9884
Calculate 1919972 divided by -2.
-959986
Divide -20955 by 11.
-1905
19438 divided by 9719
2
7364 divided by 7
1052
Divide -25907 by -3701.
7
Divide -4184 by -11.
4184/11
What is 702 divided by 18?
39
-158 divided by -3
158/3
Calculate 498165 divided by -99633.
-5
Calculate -54040 divided by -4.
13510
Calculate 5312 divided by 191.
5312/191
What is -33 divided by 8541?
-11/2847
1084212 divided by -271053
-4
Divide 64833 by -64833.
-1
Divide -11 by -1100.
1/100
Calculate -61607 divided by 4739.
-13
Calculate 306936 divided by 1218.
252
Divide 14031 by -9.
-1559
What is -11 divided by 3519?
-11/3519
-6591 divided by 63
-2197/21
Calculate -175676 divided by 2.
-87838
-55 divided by -78
55/78
Calculate -626274 divided by -2.
313137
What is -443955 divided by 147985?
-3
What is -10 divided by 25689?
-10/25689
Divide 38255 by -35.
-1093
-487200 divided by 464
-1050
Calculate -2530073 divided by -1.
2530073
What is 3130 divided by 79?
3130/79
Calculate -384468 divided by 21.
-18308
Divide 2 by -91514.
-1/45757
Calculate 14 divided by -18.
-7/9
What is -324 divided by 118?
-162/59
What is 1 divided by -262833?
-1/262833
Calculate -180 divided by 13548.
-15/1129
-952560 divided by -315
3024
Divide -4 by -1227.
4/1227
Divide 578760 by -280.
-2067
Divide -26456 by 26456.
-1
Divide -2 by -17396.
1/8698
What is -155104 divided by -19388?
8
-32040 divided by -24
1335
Divide -1751463 by -583821.
3
Divide 469846 by 234923.
2
What is 51944 divided by 25972?
2
Divide 150368 by 18796.
8
What is 326176 divided by -163088?
-2
-1352401 divided by -1007
1343
Calculate -93543 divided by -5.
93543/5
314048 divided by -4907
-64
4 divided by -19825
-4/19825
Divide -315435 by -2.
315435/2
-15997 divided by 7
-15997/7
1912320 divided by 5
382464
What is -89870 divided by -5?
17974
-90 divided by -98
45/49
Calculate 28 divided by -1679.
-28/1679
266160 divided by 11090
24
Divide 1349 by -622.
-1349/622
Calculate 41021 divided by 127.
323
What is -3662012 divided by 2?
-1831006
Divide 1141320 by -6.
-190220
Divide -136 by 4.
-34
What is -59892 divided by -322?
186
What is -17013 divided by 3?
-5671
-6424659 divided by -2829
2271
Calculate -3165 divided by 3165.
-1
Divide 84512 by -139.
-608
Divide -257 by -2330.
257/2330
Divide -4889535 by 5.
-977907
What is 2 divided by 3189?
2/3189
Divide -995420 by 199084.
-5
-62384 divided by 1
-62384
What is -95206 divided by 263?
-362
21501 divided by 7167
3
Calculate 54850 divided by 10970.
5
Calculate 48488 divided by -1102.
-44
Divide 197780 by 62.
3190
Calculate -3 divided by 52452.
-1/17484
Divide 120 by 1395.
8/93
What is -245280 divided by -80?
3066
Divide -985743 by 36509.
-27
Calculate -94 divided by 272.
-47/136
-1443 divided by -3
481
Calculate -1 divided by 11473.
-1/11473
Divide -10737 by 1193.
-9
Divide -14703 by 2.
-14703/2
What is 937278 divided by -17?
-55134
Calculate -4398746 divided by 11.
-399886
Calculate -498498 divided by 6.
-83083
111800 divided by -111800
-1
What is -2 divided by 126041?
-2/126041
Divide 35 by -637.
-5/91
-3 divided by -193715
3/193715
Calculate -107 divided by -95.
107/95
-726340 divided by 20
-36317
-713 divided by -10
713/10
Divide 1647 by 110.
1647/110
5 divided by 29370
1/5874
What is -2 divided by -48267?
2/48267
What is -157165 divided by 85?
-1849
-32 divided by -2690
16/1345
Divide 256 by 8.
32
What is -22837 divided by -5?
22837/5
Calculate 36334 divided by 1.
36334
Calculate 147 divided by -29.
-147/29
Divide 2138899 by 49.
43651
What is -176504 divided by -44126?
4
Calculate 0 divided by 49842.
0
Calculate -9 divided by 59828.
-9/59828
What is -234970 divided by -4?
117485/2
Divide -5598 by 19.
-5598/19
What is -41220 divided by -4122?
10
Calculate 3324074 divided by -2.
-1662037
Divi | {
"pile_set_name": "DM Mathematics"
} |
+ 2*i**2 + i**2)*(-3*i - i**2 + 3*i).
62*i**4
Expand (3 - 2*m - m - 2)*(-m**2 - 3*m**2 + 3*m**2).
3*m**3 - m**2
Expand -2*v**5 + 5*v**5 - 4*v**5 + (3 - v - 3)*(-5*v**4 + 5 - 5).
4*v**5
Expand -2*o**2 + o**2 + 2*o**2 + (-o**2 + 2*o**2 + 0*o**2)*(1 - 1 - 2) + (2*o**2 - o + o)*(-2 + 0 - 3).
-11*o**2
Expand (0*n**4 + n**4 + 2*n**4 + (-5*n + n + n)*(n**3 - 4*n**3 + n**3))*(-n + 0*n + 0*n).
-9*n**5
Expand 5*i - 3*i + 0*i + (3*i - i + 0*i)*(3 + 2 - 4) + 2*i - 2 + 2 + (2*i - i + i)*(16 + 13 - 8) + (3 - 3 - 2)*(i + 4 - 4).
46*i
Expand (-5*i**3 + 3*i**3 + 4*i**3)*(-i + 5*i - 3*i)*(2*i + 1 - 1 + (0 + i + 0)*(1 + 0 + 2)).
10*i**5
Expand 3 - 2*s - 3 + (-2 + 0 + 0)*(0*s - 2*s + 0*s).
2*s
Expand -v**3 + 3*v**2 - 3*v**2 + (-4*v**2 + 6*v**2 - v**2)*(3*v - v - 4*v).
-3*v**3
Expand 15*i**2 - 15*i**2 + i**3 + (-i**2 - i**2 + 3*i**2)*(-3 + 2*i + 3).
3*i**3
Expand (1 - 6 + 2*f - f)*(-3*f**4 + 3*f**4 - f**4).
-f**5 + 5*f**4
Expand (195*a - 195*a + 7*a**3)*(-2*a + a - a) + 0*a**4 + 3*a**4 - a**4.
-12*a**4
Expand (-b**3 + 0*b**3 + 0*b**3)*(-2*b + 0 + 0) + 2*b - 1 + 3*b**4 + 14*b**4 - 10*b**4.
9*b**4 + 2*b - 1
Expand -u**3 + u - u + (-2*u**2 + 4 - 4)*(-6*u + 6*u + 20*u).
-41*u**3
Expand -3*a**4 + 2*a**4 - a**4 + (a**3 - 3 + 3)*(-3*a - a + 2*a) + (-a - 2*a + a)*(-3 + 2 - 2)*(3*a**3 + a**3 - 5*a**3).
-10*a**4
Expand (10 + 23 - 54)*(-2*k**3 + 3*k**3 - 3*k**3).
42*k**3
Expand ((-3 - 1 + 2)*(-4 + 4 - 2*y) - 4*y + 3*y + 3*y)*(5*y - 5 + 4 - 6*y).
-6*y**2 - 6*y
Expand -4*w**5 + 3*w**5 + 6*w**5 - 101*w**2 + 101*w**2 - 15*w**5 + (-2*w + 3*w + w)*(0*w**4 + 2*w**4 - w**4).
-8*w**5
Expand (-p**3 + 5*p**3 + 2*p**3)*(-1657 + 10*p + 1657).
60*p**4
Expand -3*q - q + 5*q + q + 0*q + 0*q + (-2 + 4 - 1)*(-3 + 3 + 2*q) + (4*q - 5*q + 3*q)*(4 - 11 - 5).
-20*q
Expand (-3 + 0 + 6)*(-20*u**2 + 15*u - 15*u).
-60*u**2
Expand -4*l**4 + 21*l**4 - 2*l**4 - 3*l**4 + 3*l**4 - 3*l**4 + (0 + l**3 + 0)*(-3*l + l + 0*l) - 2*l**2 + 2*l**2 + l**4 - 5*l**4 + 0*l**4 + 3*l**4.
9*l**4
Expand ((-c**3 + 0*c**3 - c**3)*(0 + 1 + 1) + 6*c**3 - 3*c**3 - 4*c**3 + 0*c**3 + 2*c**3 - c**3)*(4 - 4 - 2*c**2 + (c - 4*c + 5*c)*(-c + 2*c + c)).
-8*c**5
Expand (2*u - 3*u + 0*u)*((5 - 2 - 1)*(3*u**2 + u**2 - 2*u**2) + 3*u**2 - u**2 - 4*u**2 + 7*u**2 - u**2 - 3*u**2).
-5*u**3
Expand (3*a - 3*a + a)*(2*a**3 - 36 + 36).
2*a**4
Expand ((3*b**2 - 5*b**2 + 4*b**2)*(-b + 2*b - 2*b) - b**2 + b**2 + 2*b**3 + (-b**2 + 3*b - 3*b)*(-4*b + b + 4*b))*(3*b - b - 3*b).
b**4
Expand (4*q**4 + q**4 - 4*q**4)*(3*q - 12*q + 2*q) + (-4*q + q + q)*(-2*q + 2*q + 2*q**4).
-11*q**5
Expand (4*m - 5*m + 0*m)*(0*m - m - 5*m)*(m**2 - 2*m**2 + 3*m**2).
12*m**4
Expand (-2*q + 0*q + 0*q)*(q**2 - 2*q + 2*q)*(-200*q - 152*q + 290*q).
124*q**4
Expand (-3 - 1 + 5)*(-11*p - 26 + 8*p + p).
-2*p - 26
Expand (-7*v**2 + v**2 - 4*v**2)*(-1 + 1 - 1 + (-1 - 2 + 2)*(0 + 0 + 1)).
20*v**2
Expand (-5*i - 9 + 9)*(i + 0*i + 0*i)*(0 + 1 + 4).
-25*i**2
Expand (6*h - 13*h - 10*h)*(h - 3*h - h).
51*h**2
Expand (4*a**2 - 5*a**2 + 3*a**2 + 0*a**2 + a**2 - 4*a**2 + (2 + 1 - 2)*(-1 + 1 - a**2))*(4 + 3 - 5).
-4*a**2
Expand 3*l**3 + 2*l**3 - 3*l**3 + (10*l**2 - 2*l**2 + 0*l**2)*(7*l - 3*l - 2*l + (4*l - 6*l + 3*l)*(2 + 3 - 3)).
34*l**3
Expand -4*j + 3*j - j + (j + 0*j + 0*j)*(1 + 0 + 0) + j + 0*j - 3*j.
-3*j
Expand 8*g - 8*g - 4*g**4 - 1 + 1 - g**4 - 4*g**3 - 3*g**4 + 4*g**3 + (g**2 - g**2 - 2*g**2)*(g**2 - 2*g + 2*g).
-10*g**4
Expand (-n + 5*n - 3*n)*(2 + 3*n**2 - n**2 + n**2).
3*n**3 + 2*n
Expand (2*s - 2*s - 13*s)*(0 + 0 - 2*s**2)*(-3*s - 2*s**2 + 3*s).
-52*s**5
Expand (u + 3 - 3)*(2 - 7 + 3) + 2 - u + 0*u - u.
-4*u + 2
Expand 21 - 17*k**5 - 21 + (-k**3 + k**3 + 2*k**3)*(2*k**2 - 4*k**2 + 0*k**2) + 0*k**4 - 2*k**5 + 0*k**4 - 5*k**5 + 4*k**5 - k**5.
-25*k**5
Expand (5*n - 2*n - n)*(-3 + 6 - 1) + 2*n - 4*n + n - n - 1 + 1 + (1 - 1 + 2*n)*(1 + 6 - 1) - 4 + n + 4.
15*n
Expand (-1 - 2*o**2 + 1)*(-2 + 1 + 6)*(5*o - 2*o - 4*o).
10*o**3
Expand 7*n**5 - n**5 - 2*n**5 + (0 - 3 + 1)*(2*n**5 - 2*n**5 - n**5) - 3*n**5 + 2*n**5 + 3*n**5.
8*n**5
Expand (-102*l + 102*l - 10*l**3)*(6 - 3 - 1) - l**3 + 5*l - 5*l.
-21*l**3
Expand (2 + 3*k**2 - 2)*((-4 + 5 - 3)*(-3 - 3*k + 3) - 1 + 2*k + 3*k - 3*k) + 3*k**3 + 2*k**3 - 4*k**3.
25*k**3 - 3*k**2
Expand 0*n**5 + n**5 - 3*n**5 + (-3 + 4 + 4)*(3*n**5 - 2*n**5 - 2*n**5).
-7*n**5
Expand 5*p**5 - 5*p**5 - p**5 + (-p**3 - 8*p**3 + 2*p**3)*(-p**2 - 5*p**2 + 5*p**2).
6*p**5
Expand (-2*v**2 - 3*v + 3*v)*(2 - 1 + 1)*(-v**2 + 8*v**2 + 6*v**2).
-52*v**4
Expand 0*x**2 + x**2 - 4*x**2 + 1 + (-13 - 5*x**2 + 13)*(1 - 2 + 3).
-13*x**2 + 1
Expand (-16*f**4 + 0*f**4 - f**4)*(-1 - f + 1).
17*f**5
Expand (0*o**4 - 2*o**4 + 2*o + 0*o)*(-1 + 2 - 3)*(-4 + 2 + 5).
12*o**4 - 12*o
Expand (-1 + 1 - 2*s**3)*(2*s - 5*s + 2*s)*(0 - 2 - 3).
-10*s**4
Expand (2 + 2*b - 2)*(-5 + 12 + 4).
22*b
Expand 4*o**4 + o**4 - 3*o**4 + (2*o**4 - 1 + 1)*(-1 + 1 + 2)*(10 - 2 + 11).
78*o**4
Expand ((1 - 2 + 3)*(-4*h + 3*h - h) + 0*h + 4*h - 2*h)*(-7 - 6 - 6).
38*h
Expand (-g**2 - 3*g**2 + 2*g**2)*(170*g - 308*g + 66*g).
144*g**3
Expand (3*s**3 - 3*s**2 + 3*s**2)*(-s + 0 + 3 - 4).
-3*s**4 - 3*s**3
Expand (-w**2 + 0*w**2 + 0*w**2)*(w + 2*w - w + (-3 + 2 - 1)*(-5*w + 2*w + 4*w) + w + 0 + 0 + 3*w + 2*w - 4*w).
-2*w**3
Expand 37*d**3 + 9*d**3 - d**3 - 6*d**3 + (-2*d - 1 + 1)*(-4*d**2 + 2*d**2 + 4*d**2) + 3*d**3 + 0*d**3 - d**3 - 2*d**3 - d**3 + d**3 + 0*d**3 + 0*d**3 - d**3.
34*d**3
Expand (1 - 3 + 3)*(-2*j**5 + 3 - 3) + (0*j - 4*j + 3*j)*(-2*j + 2*j - j**4) + 2*j**5 - 4*j**5 + 3*j**5 + j**5 + 4*j**3 - 4*j**3 - j**5 - 4*j**5 + 3*j**5.
-j**5
Expand n**4 + 0*n**4 + 3*n**5 - 2*n**5 + (-3*n + 3*n - 3*n)*(1175*n**3 + 4*n**2 + n**4 - 1175*n**3).
-2*n**5 + n**4 - 12*n**3
Expand (-60*q**2 - 8*q**4 + 60*q**2)*(1 + 3 - 2).
-16*q**4
Expand (-7 + 3 - 8)*(0*g - 2*g + g)*(2 - 1 + 0).
12*g
Expand (-4*i**3 + 2*i**3 + 4*i**3)*(-i**2 + 0*i + 0*i)*(2 + 0 - 3)*(1 + 7 + 1).
18*i**5
Expand (v - v + 7*v)*(-3 + 9 - 3)*(3 - 2 + 0).
21*v
Expand (1 - 6 - 1)*(4*m - 2*m - 4*m).
12*m
Expand (-2*r**2 - 7*r - r**2 + 6*r)*(1 - 1 + 2*r) - 21*r - r**3 + 21*r.
-7*r**3 - 2*r**2
Expand (4*m - m - m)*(-4*m**2 + 4*m**2 - 2*m**2) + 3*m**2 - 3*m**2 + 6*m**3.
2*m**3
Expand (-6*h - 20 + 20 + (0*h - h + 3*h)*(2 - 4 + 3))*(0 - h**3 + 0).
4*h**4
Expand (2 - 2 - 5*k)*(46 + 7*k**2 - 46).
-35*k**3
Expand (0 + 1 + 0)*(-2 + 3 - 3)*(4*l - 6*l + l).
2*l
Expand (-4*f + 0*f + 3*f)*(-13*f**3 + f**3 + 31*f**3 + (1 - 1 - f**3)*(2 + 0 - 1)) - f**4 + 3*f**4 - 4*f**4.
-20*f**4
Expand 0*l + 0*l + 2*l + (-4 - 3 + 6)*(-3*l + 4*l + 0*l).
l
Expand (-2*n + 7*n - 3*n + (-3 + 3 - 2*n)*(1 + 0 + 1))*(2 + 2 + 0 - 1 - 7 + 2 + (3 - 3 + 1)*(1 + 3 - 2) - 5 + 2 + 2).
2*n
Expand 2*k**2 - k**3 - 2*k**2 + (-2*k**2 + k**2 + 2*k**2)*(-4*k - 2*k + 7*k) - k**2 + k**2 - 2*k**3 + 2*k**3 - 4*k**3 + 5*k**3.
k**3
Expand (-3 + 3 + 1)*(-3*w + 4*w + w) - 3*w - 2*w + 2*w + (0 - 3 + 1)*(-3 + 3 + 2*w) + 0*w - w + 3*w.
-3*w
Expand (4*z**3 - 5*z**3 + 3*z**3)*(0*z - 6*z + 2*z) - 2*z**4 - 2*z**3 + 5*z**3 + 4*z**4.
-6*z**4 + 3*z**3
Expand (u**2 + 4*u**2 - u - 6*u**2)*(0 + 0 - 2*u**3).
2*u**5 + 2*u**4
Expand (-31*j**4 + 18*j**4 - 84*j**4 + 4*j**4)*(2*j + 0*j - 4*j).
186*j**5
Expand (-8*l - 2*l**2 - 8*l**2 + 12*l**2)*(0*l + 5*l - 4*l).
2*l**3 - 8*l**2
Expand (5 - 3 + 0)*(0*d + 0*d - d)*((1 + 3 - 2)*(-3 + 2 + 2) + 5 - 3 - 5).
2*d
Expand (2 - 2 + 3)*(-4 + 3 - 13*q + 11*q).
-6*q - 3
Expand (q**2 + 0*q**2 + q**2)*((3*q**3 - 2*q**3 + 0*q**3)*(2 - 3 + 3) - 3 + 3 + q**3).
6*q**5
Expand (51*n - 21*n + 42*n)*(1 - 1 + n).
72*n**2
Expand -7532 + 151*w**3 + 7532 - 2*w**3 + 3*w**3 + 0*w**3 + (2*w + 1 - 1)*(w**2 - w**2 - 2*w**2) + 2 - 2*w**3 - 2.
146*w**3
Expand -5*u**2 - 38*u + 3*u**2 + 39*u + 3*u**2 - u**2 - 3*u**2 + 0 + 2*u**2 + 0 + (-2 + 3 + 0)*(5*u**2 - 5*u**2 + 2*u**2) + u**2 + 2*u - 2*u.
2*u**2 + u
Expand (0*q + 2*q - q)*(-4 - q + 4)*(32*q - 39 + 39).
-32*q**3
Expand (4*j - 3*j + 4*j)*(-2*j**2 - 2*j**2 + 7*j**2).
15*j**3
Expand (-w + w - 2*w)*(0 + 0 + 3) - 6*w + 6*w + 12*w.
6*w
Expand -2*h**2 - 5 - 12 + 6 + (-h + 0 + 0)*(h + 0*h + 0*h) - 2*h**2 + 4*h**2 + 0*h**2.
-h**2 - 11
Expand -51 + 51 - y - 6*y + 2*y + 2*y + (1 + 1 - 1)*(-2*y - 2*y + 2*y).
-5*y
Expand (2*f - 1 + 1)*(2 + 2*f - 2)*(2 - 1 + 0).
4*f**2
Expand (-3 + 3 - 4)*(-6*l + l + 2*l)*(5 + 0 - 4).
12*l
Expand p**3 + 2 - 2 + (p**2 + 2*p - 2*p)*(-4 + 4 - 2*p) | {
"pile_set_name": "DM Mathematics"
} |
/(v/(v**(-2/51)*v)))/(v*v*v/(v/(v/(v/((v/(v*v/(v/v**8)))/v*v)*v))))**32 assuming v is positive.
v**(57569/255)
Simplify ((u**10)**35)**(1/16) assuming u is positive.
u**(175/8)
Simplify ((f*f**(-9))/(f*(f**(-17)/f)/f))/(f**(-2/17)/f**(-24)) assuming f is positive.
f**(-236/17)
Simplify w/w**9*w/w**(1/3)*w*w*w**(-37)/w*w**(-6)/w assuming w is positive.
w**(-151/3)
Simplify ((h**(-6)*h*(h*h/(h*h**1))/h)/((h**(-2/9)*h)/(h*h*h**(1/4))))**38 assuming h is positive.
h**(-3097/18)
Simplify (l**(-6)/l)**(45/2)/((l*(l/(l/(l/(l*l/((l*l**(1/4))/l))*l)))/l)/l)**(-18) assuming l is positive.
l**(-171)
Simplify (f**(-14)*(f/f**5)/f)/(f**(-23/5)*f**(-31)*f) assuming f is positive.
f**(78/5)
Simplify (f/(f*f/f**(-1)*f*f)*f/(f**25/f))**7 assuming f is positive.
f**(-189)
Simplify j**(-7/3)/j**(1/44)*(j/(j*(j/(j*j**(-23)/j))/j))/j*j**16 assuming j is positive.
j**(-1367/132)
Simplify (((u/u**1)/u)**13/(u**(-2/11))**21)**(-1) assuming u is positive.
u**(101/11)
Simplify (f**(-1))**(-11/2)/(f**(9/4)/(f/(f**(3/10)*f))) assuming f is positive.
f**(59/20)
Simplify ((o/(o**(-6)*o))**(-15/8))**(-1/32) assuming o is positive.
o**(45/128)
Simplify ((i/i**(7/3))/i*i**(-12))/(i*i**(-12)*i*i**(11/4)) assuming i is positive.
i**(-85/12)
Simplify (((m*m**7)/m)/m)**(-30)*m/(m*m**(-2/21))*m**(-1/2)/m assuming m is positive.
m**(-7619/42)
Simplify (r**(1/3)*r*r**(-5/4)*r)/(r*r/r**(-15)*r**32*r) assuming r is positive.
r**(-587/12)
Simplify ((m*m**(-3))/m)**(-41)*m/(m/(m**7/m))*m/(m/(m/m**(-11))) assuming m is positive.
m**141
Simplify y**10/(y/(y**(-6/13)/y))*(y/(y**(-6/13)*y)*y)/y**(6/11) assuming y is positive.
y**(93/11)
Simplify ((l**(-2/7)/l**(-1/5))/((l/(l**3*l)*l)/l**1))**(11/4) assuming l is positive.
l**(561/70)
Simplify (((d/((d*d**4)/d))/(d**(-1/4)*d))/(d**0)**(-14))**37 assuming d is positive.
d**(-555/4)
Simplify ((k**(2/7)*k*k/k**(-1/5))/(k**(-2/7)*k*k)**49)**(-41) assuming k is positive.
k**(116973/35)
Simplify a**(-3/4)*a**(-9)*(a*a**(-1/8)*a)/(a*a/(a*a**5)*a*a) assuming a is positive.
a**(-47/8)
Simplify ((j*j/(j*(j*j*j**(3/5)/j*j*j)/j*j))/((j/(j*j**(5/7)))/j))/(j/(j**(4/7)/j))**(-1/7) assuming j is positive.
j**(-167/245)
Simplify ((c/c**(-25)*c*c/((c*c**(-2/35)/c*c)/c))**(6/25))**(-39) assuming c is positive.
c**(-229788/875)
Simplify (x/x**(1/6))**(1/11)*(x/(x/(x/((x/((x/(x*x/x**7))/x)*x)/x))))**(-5/8) assuming x is positive.
x**(-805/264)
Simplify s**(-5)*s**(-1/14)*s**4/(s*(s*s/(s/((s/s**10)/s)))/s) assuming s is positive.
s**(111/14)
Simplify (c/(c*c**(-6/7)*c*c))/c**(-2/11)*((c**(4/3)/c*c)/c)**(2/45) assuming c is positive.
c**(-9836/10395)
Simplify (((v**(-4))**26)**0)**34 assuming v is positive.
1
Simplify ((y/(y**(-2/7)/y))/y)**25*(y**(1/2))**(-1/11) assuming y is positive.
y**(4943/154)
Simplify ((n**12/n)/n**(-25))/(((n**(1/2)/n)/n)/((n*(n*n/(n**(-1)*n))/n)/n*n)) assuming n is positive.
n**(79/2)
Simplify g**(2/9)/(g**(-3/8)/g)*(g**1)**(-2/7) assuming g is positive.
g**(661/504)
Simplify (l*l**(-15/8))**32/(((l/l**(-2/39))/l)/l**(-4/15)) assuming l is positive.
l**(-5522/195)
Simplify (d**(5/8)/d*d*d*d*d**(-2/39))**(-12/7) assuming d is positive.
d**(-803/182)
Simplify (f**(-1/11)*f*f*f**(-4/11)*f*f)/(f**18*f*f/f**16*f) assuming f is positive.
f**(-16/11)
Simplify (f/f**0)**(-2/163)/(f*f**(-10))**(3/2) assuming f is positive.
f**(4397/326)
Simplify (d**(-1/5))**(-1)/((d/d**2)/d)**33 assuming d is positive.
d**(331/5)
Simplify ((j*j**(14/3))/j*j**(-1/5))**(-50) assuming j is positive.
j**(-670/3)
Simplify (c**6/((c*c**(8/5))/c*c)*c**(1/3)/c**3)**(3/17) assuming c is positive.
c**(11/85)
Simplify (i**0)**(-2/3)/(i**7*i/i**0) assuming i is positive.
i**(-8)
Simplify o**(-34)*o**(-2/63)*((((o*(o/o**(-18))/o*o)/o)/o)/o)**36 assuming o is positive.
o**(36412/63)
Simplify ((((u**27*u)/u*u)/u*u)/((u*u**(-4))/u))/(u/(u**(-10)*u)*u**12/u) assuming u is positive.
u**11
Simplify (((n/n**6)/n)/n*n/(n*n*n*n*n**(1/12))*n)/(n*(n/(n*n/(n**1/n)))/n*n/(n/(n**(1/4)*n))) assuming n is positive.
n**(-28/3)
Simplify q**10/(q/q**(-3/11))*((q**(-3)/q)/q)**(-2/83) assuming q is positive.
q**(8078/913)
Simplify (m**(-19)*m)/(m/(m*m**(1/30)*m*m)*m)*(m*m**26/m*m)**(-7) assuming m is positive.
m**(-6179/30)
Simplify (y/((y*y**(1/4)/y*y)/y))**(16/3)/(y**(-24))**33 assuming y is positive.
y**796
Simplify y**(-15/7)*y/(y*y**21)*y/y**(-4)*y/(y**(1/6)/y) assuming y is positive.
y**(-685/42)
Simplify n**(-7/4)*n*n/(n/(n/n**(1/17)))*(n/n**34)/n**(-3/4) assuming n is positive.
n**(-545/17)
Simplify (((i/i**(-1/3))**(-24/11))**7)**(-1/4) assuming i is positive.
i**(56/11)
Simplify ((m*((m*m*(m**(3/7)*m)/m)/m)/m*m)/m*m*m*m*m**(5/2))/(m**(-4)*m*m*m**9) assuming m is positive.
m**(-1/14)
Simplify (((s**(-6)/s)/s)/s**(-6))/(s**(1/2)/(((s/(s/(s/(s/(s/(s/(s*s*s**(-2/13)))*s*s)))))/s)/s)) assuming s is positive.
s**(-17/26)
Simplify ((s**(-1/3))**20*((((s*s**(-10/9))/s)/s)/s)/s**(1/3))**(36/5) assuming s is positive.
s**(-364/5)
Simplify (i*i*i**(1/3)*i)**(2/5)/((i*i*(i**(2/7)/i)/i)/i)**(-1/62) assuming i is positive.
i**(1721/1302)
Simplify (d*(d/((d*(d/(d**(3/8)/d*d))/d*d*d*d)/d))/d*d)/d*d**(2/5)/d*(d*d**0*d)/(d*d**13) assuming d is positive.
d**(-569/40)
Simplify ((u*u**(-6/11))/(u/(u**(-17)/u)))/((u/((u*u**5)/u)*u)/(u*(u**(-13)/u)/u)) assuming u is positive.
u**(-325/11)
Simplify (c**(-7/6)*c**(3/4))/(c/(c**(-11)*c))**(-12/7) assuming c is positive.
c**(1549/84)
Simplify i**(2/5)/(i/(i*i/(i**(5/2)*i)))*(i/((i/(i/i**2))/i*i))**(-18) assuming i is positive.
i**(159/10)
Simplify (i**2)**11/((i*(i**(-2/9)*i*i)/i*i)/(i*i/(i*i*i**(2/25)*i))) assuming i is positive.
i**(4082/225)
Simplify ((t**(3/7)/t)/t)/(t/t**(-14))*t*t/(t/t**(4/5))*t*t**(-6/7) assuming t is positive.
t**(-512/35)
Simplify (b**(-14)/b*b**0)/(b/((b**(1/6)/b)/b)*b**(4/11)*b) assuming b is positive.
b**(-1267/66)
Simplify (((x/(x**11*x))/x)**(22/9))**(6/7) assuming x is positive.
x**(-176/7)
Simplify (((j**(-7)/j)**(11/4))**(1/2))**(5/7) assuming j is positive.
j**(-55/7)
Simplify ((j**(-1)/(j**(-9)/j))/((j/(j/j**(-10)*j))/(j*j*j**1*j*j)))**34 assuming j is positive.
j**850
Simplify (r**(-2/9)/r)**(-29)*r/(r**(-13)/r)*r*r**11*r*r assuming r is positive.
r**(580/9)
Simplify q**(-8)*(q/((((q/q**(-3/13))/q)/q)/q))/q*(q/(q*q**(1/3)*q))**(-1/69) assuming q is positive.
q**(-16715/2691)
Simplify ((o**(1/7)/o)/((o/o**(-1/16))/o))/(o**(-1/7)*o*o)**(-1/18) assuming o is positive.
o**(-823/1008)
Simplify z**(-2/5)*z**(3/4)*z**(-2/117)/z**(-5/6) assuming z is positive.
z**(2729/2340)
Simplify s**(-2/51)*s/s**(-6)*s*(s*s**6*s*s)/s**(-1/6) assuming s is positive.
s**(1747/102)
Simplify (l**4/(((l*l/(l*l**(3/5)*l)*l)/l)/l))/(l**6)**(1/51) assuming l is positive.
l**(466/85)
Simplify ((b/b**(-4))/((b/(b*b**(-6)))/b))**(4/5) assuming b is positive.
1
Simplify s**(-13)/(s*s*s**(-15))*((s/(s**(1/4)*s*s))/s)**22 assuming s is positive.
s**(-99/2)
Simplify (l/l**(1/4))/(l/(l/l**(-4)))*l**(-3/2)*l*l*l**(4/9)/l assuming l is positive.
l**(169/36)
Simplify (s**(-18)*s**(2/43))/(s**(3/2)*s*s*s)**(-26) assuming s is positive.
s**(4259/43)
Simplify ((h**14/h*h)/h)/(h/(h*h*h**12))*(h/h**(-2/9))**(-34/7) assuming h is positive.
h**(1264/63)
Simplify (x**(-1/12)*x)/((x*x**(-1/21)*x)/x)*(x*(x/x**30)/x)/(x*x/(x*(x/(x**11/x))/x)) assuming x is positive.
x**(-1121/28)
Simplify d**(-11)*d/d**(-19/2)*(d*d**(5/9))**(-28) assuming d is positive.
d**(-793/18)
Simplify (((l**(1/2)/l)/(l*l/l**(-2/7)))**46)**29 assuming l is positive.
l**(-26013/7)
Simplify y**14/y**(-5)*y**7*y**(13/3) assuming y is positive.
y**(91/3)
Simplify ((c**(2/15)/c*c*c*c*c**(-2/15)/c)/(c/c**(2/5))**(2/85))**(4/29) assuming c is positive.
c**(1676/12325)
Simplify (c**(2/49)*c*c*c/c**24)/(c*c/(c**(-1/9)*c)*c*c*c**(5/7)) assuming c is positive.
c**(-10930/441)
Simplify (x**9*x**(-12))/(x*x**(-13)*x*x*x*x**(-4)*x) assuming x is positive.
x**9
Simplify (w**12)**16/(w/w**0)**(12/11) assuming w is positive.
w**(2100/11)
Simplify ((z**(-1/5)/(z/(z*z*z**(-6)*z)*z))**(-15))**(10/3) assuming z is positive.
z**260
Simplify h/(h*h**(-14/5)/h)*(h**(-3/10)*h*h)/h*(h*h/(h/h**(2/7)))**46 assuming h is positive.
h**(891/14)
Simplify (r**(-4/13)*r*r**14)/((r/(r*r*r*r/(r/(r/(r/(r*(r/(((((r/(r**3*r))/r)/r)/r)/r))/r)*r)))*r*r))/(r/(r**(28/9)/r)*r)) assuming r is positive.
r**(2993/117)
Simplify ((s**(8/9)/(s/(s* | {
"pile_set_name": "DM Mathematics"
} |
et p = -29/2 - b. Factor 1/2*o - 1 + p*o**2.
(o + 1)*(3*o - 2)/2
Suppose 4*b + y + 2 = 0, 2*b + 5*y - 5 = 3. Let s(a) = -9*a**2 + a - 1. Let t(h) = h**2 + h + 1. Let p(c) = b*t(c) - s(c). Factor p(j).
2*j*(4*j - 1)
Let z = -88 - -793/9. Let m(t) be the first derivative of 1/12*t**4 + 1/15*t**5 + 2 - 1/6*t**2 + 0*t - z*t**3. Let m(i) = 0. What is i?
-1, 0, 1
Let n(j) be the second derivative of j**5/180 - j**4/54 - j**3/18 + 13*j. What is h in n(h) = 0?
-1, 0, 3
Let g(h) = 7*h**2 + 5*h. Let m = -3 + 8. Let o(n) = 11*n**2 + 8*n. Let b(d) = m*o(d) - 8*g(d). Find p, given that b(p) = 0.
0
Factor 52*v**2 + 3*v**4 + 9 - 22*v**3 - 48*v + 6*v - 1 + 1.
(v - 3)**2*(v - 1)*(3*v - 1)
Let k(h) be the second derivative of -1/60*h**5 - 3/2*h**2 - 1/120*h**6 + 1/6*h**3 + h + 1/24*h**4 + 0. Let f(m) be the first derivative of k(m). Factor f(v).
-(v - 1)*(v + 1)**2
Suppose 0 = -0*r + r - 8. Let b be (-7 - -2)*r/(-10). Factor 2/3*p - 2*p**b - 2/3*p**2 + 0 - 10/3*p**3.
-2*p*(p + 1)**2*(3*p - 1)/3
Let v be 14/4 - 11/22. Factor 0 + 2/3*h**4 - 2/3*h - 2*h**v + 2*h**2.
2*h*(h - 1)**3/3
Suppose 4*d = -2*l + 2*d + 6, 3*d - 3 = -l. Let u(s) = -3*s**2 - 12*s - 3. Let b(f) = f - 1. Let z(a) = l*b(a) + u(a). Suppose z(m) = 0. Calculate m.
-2, -1
Let b = -20 - -28. Suppose u = b*u - 14. Factor -2/11*z + 2/11*z**3 + 2/11 - 2/11*z**u.
2*(z - 1)**2*(z + 1)/11
Let v be (-1)/(-18)*(-6)/(-4). Let d(p) be the second derivative of v*p**2 + 0 + 1/24*p**4 + 3*p + 1/12*p**3 + 1/120*p**5. Factor d(r).
(r + 1)**3/6
Let s be (6/4)/((-15)/(-40)). Suppose s*p - 5*p + 2 = 0. Solve 0 + 1/2*n**p + 0*n = 0 for n.
0
Let z = 54 + -50. Let m(j) be the first derivative of -4 + 2*j**z - 8/3*j**3 + 0*j + j**2. What is y in m(y) = 0?
0, 1/2
Let g(v) = 9*v**2 - 29*v + 3. Let q(p) = -17*p**2 + 57*p - 7. Let n(t) = 7*g(t) + 3*q(t). Suppose n(d) = 0. What is d?
0, 8/3
Let -2/5 + 4/5*y - 2/5*y**2 = 0. What is y?
1
Let z(o) be the third derivative of o**7/175 - 11*o**6/300 + 2*o**5/25 - o**4/15 - 9*o**2. Suppose z(k) = 0. Calculate k.
0, 2/3, 1, 2
Let p(z) be the second derivative of 0*z**3 - z + 1/48*z**4 + 0 + 0*z**2. Determine x, given that p(x) = 0.
0
Let y = -114 + 572/5. Find v, given that 8/5*v**3 - y - 6/5*v + 0*v**2 = 0.
-1/2, 1
Suppose 4*l - j = 15, 9 + 6 = l - 4*j. Factor -10*k - 3 + l + 9*k**2 + 4 - 3*k**2.
2*(k - 1)*(3*k - 2)
Let o be (1/5)/(12/(-636)). Let a = o + 11. Solve -a*l + 4/5 - 2/5*l**2 = 0 for l.
-2, 1
Let x(y) be the first derivative of -2/15*y**3 + 1 - 1/5*y**2 + 2/5*y + 1/10*y**4. Factor x(q).
2*(q - 1)**2*(q + 1)/5
Let j(k) be the second derivative of -4*k**6/15 + 2*k**5/5 - k**4/6 + 3*k. Let j(t) = 0. What is t?
0, 1/2
Let w(n) be the second derivative of -5*n**7/42 + n**6/6 + n**5/4 - 5*n**4/12 + 44*n. Factor w(g).
-5*g**2*(g - 1)**2*(g + 1)
What is t in 0 - 8/5*t + 2/5*t**2 - 4/5*t**5 + 2*t**4 + 24/5*t**3 = 0?
-1, 0, 1/2, 4
Let d(u) be the third derivative of 3*u**2 - 1/30*u**5 + 1/3*u**4 - 4/3*u**3 + 0 + 0*u. Factor d(m).
-2*(m - 2)**2
Let m(c) be the second derivative of -c**7/105 - c**6/75 + c**5/50 + c**4/30 - 24*c. Factor m(t).
-2*t**2*(t - 1)*(t + 1)**2/5
Let n = 67/84 + -5/7. Let y(l) be the second derivative of -1/30*l**6 + 0 + 1/3*l**2 - 1/6*l**3 - n*l**4 + 2*l + 7/60*l**5. Suppose y(r) = 0. What is r?
-2/3, 1
Factor 0 + 0*k**2 + 8/7*k**4 + 4/7*k**3 + 0*k.
4*k**3*(2*k + 1)/7
Solve 0 - 2*n**3 - 2/3*n**4 + 0*n - 4/3*n**2 = 0 for n.
-2, -1, 0
Let g(d) be the second derivative of 5*d**4/12 + 5*d**3/3 + 5*d**2/2 - d. Suppose g(u) = 0. Calculate u.
-1
Suppose 0 = h - 2*h + 4. Let r(n) be the third derivative of 2/3*n**3 + 1/30*n**5 + 0 + 0*n + 1/4*n**h + 2*n**2. Factor r(l).
2*(l + 1)*(l + 2)
Let v(t) be the first derivative of -t**7/14 - t**6/5 + t**4/2 + t**3/2 + 4*t - 3. Let x(h) be the first derivative of v(h). Find f, given that x(f) = 0.
-1, 0, 1
Suppose -342*h + 338*h + 8 = 0. Let 0*b - 8/7 + 2/7*b**h = 0. What is b?
-2, 2
Let d = 6 - 11/2. Let -2*v + d + 3/2*v**2 = 0. Calculate v.
1/3, 1
Let t(k) be the third derivative of 0*k**3 + 0 + 0*k + 0*k**4 + 1/120*k**6 + 1/60*k**5 + 3*k**2. Suppose t(v) = 0. What is v?
-1, 0
Let z = 9 + -6. Let q(x) = -4*x**3 - 3*x**2 + x + 2. Let l(k) = 5*k**3 + 3*k**2 - 2*k - 3. Let c(j) = z*q(j) + 2*l(j). Factor c(o).
-o*(o + 1)*(2*o + 1)
Let g(q) be the second derivative of -q**7/42 - q**6/10 - q**5/20 + q**4/4 + q**3/3 + 8*q. Solve g(c) = 0 for c.
-2, -1, 0, 1
Let y(t) = -3*t**3 - 15*t**2 + 39*t - 33. Let u(p) = 6*p**3 + 30*p**2 - 78*p + 64. Let h(x) = 6*u(x) + 11*y(x). Factor h(k).
3*(k - 1)**2*(k + 7)
Let i(d) = 2*d**3 - 8*d + 16. Let y(b) = -4*b**3 - b**2 + 16*b - 32. Let x(q) = -9*i(q) - 4*y(q). Factor x(f).
-2*(f - 2)**2*(f + 2)
Determine a so that -1/5*a**2 + 6/5*a - 9/5 = 0.
3
Suppose 3*t = 6*t + 15. Let b = -9/2 - t. Solve -b*y**5 + 1/2*y**4 + 0 + 0*y**3 + 0*y + 0*y**2 = 0 for y.
0, 1
Let y(t) be the third derivative of t**9/60480 - t**8/8960 + t**7/3360 - t**6/2880 - t**4/12 - 2*t**2. Let c(z) be the second derivative of y(z). Factor c(f).
f*(f - 1)**3/4
Let v(d) = 3*d - 15. Suppose -j - 4*s = 7, 2*j + 2 = -2*s + 6. Let k be v(j). Find h, given that -2/3*h**3 - h**2 + k*h + 1/3 = 0.
-1, 1/2
Let i(m) = -3*m**3 + 9*m**2 - 6. Let d(h) = -8*h**3 + 26*h**2 - h - 17. Let j(w) = -6*d(w) + 17*i(w). Solve j(b) = 0 for b.
-2, 0, 1
Let a(s) be the second derivative of s**8/672 - s**7/420 + s**2/2 + s. Let k(y) be the first derivative of a(y). Suppose k(p) = 0. Calculate p.
0, 1
Let k(g) be the first derivative of g**4/18 + 10*g**3/27 + g**2/3 - 2*g - 4. Factor k(q).
2*(q - 1)*(q + 3)**2/9
Let g(w) be the first derivative of -w**6/6 - 3*w**5/5 + w**4/2 + 2*w**3 - w**2/2 - 3*w + 46. Find s such that g(s) = 0.
-3, -1, 1
Let d(s) = -s**2 - s. Let i(v) = -3*v**3 + v**2. Let r(g) = -2*d(g) + 2*i(g). Factor r(x).
-2*x*(x - 1)*(3*x + 1)
Let k = -170/11 + 180/11. Factor -8/11*i**3 + 2/11*i**4 + 0 + k*i**2 - 4/11*i.
2*i*(i - 2)*(i - 1)**2/11
Let m(f) be the second derivative of -f**5/10 + 3*f**4/2 - 9*f**3 + 27*f**2 - 4*f. Factor m(n).
-2*(n - 3)**3
Suppose 0*i**2 - 22*i + 4*i**2 + 34*i = 0. Calculate i.
-3, 0
Let m(z) = -3*z**2 + 7*z + z**2 + 5 + 3*z**2. Let v be m(-7). Suppose 1/5*d**v + 0*d + 1/5*d**3 + 0*d**2 - 2/5*d**4 + 0 = 0. Calculate d.
0, 1
Let v be (8 - -1)/3*3. Suppose -2*h + v = 5*o, 5*o - 1 = 2*h - 0. Suppose -4*a**h + 4*a**3 + 0*a**4 + 6*a**2 + 2*a**4 = 0. What is a?
-1, 0
Let k be 13 - (2*-2)/2. Suppose k = 5*i + 5. What is t in 4*t - 5*t**2 - t**i + 4*t**2 + 0*t**2 = 0?
0, 2
Let k be ((-1)/4)/((-6)/12). Let o(a) be the second derivative of 1/4*a**3 - 3*a + 1/12*a**4 - k*a**2 + 0. Factor o(h).
(h + 2)*(2*h - 1)/2
Suppose 4*t = -8*t + 36. Factor -1/3 + 1/6*n**t - 1/6*n + 1/3*n**2.
(n - 1)*(n + 1)*(n + 2)/6
Let v = -519 + 521. Solve 0 - 1/4*g**v + 0*g = 0.
0
Let i be (1*6)/(12/20). Factor i*x**3 + 0 + 2*x**2 + 17/2*x**4 + 2*x**5 + 0*x.
x**2*(x + 2)**2*(4*x + 1)/2
Let p be (-3)/6 + 15/6. Let x(c) be the first derivative of 0*c**3 - p - 1/5*c**5 + 1/4*c**4 + 0*c**2 + 0*c. Factor x(v).
-v**3*(v - 1)
Suppose o - d = 8, -3*o = 5*d - 2*d. Factor -2*h**5 + 8*h**3 - 3*h - 3*h + o + h**4 - h**4 - 4*h**2.
-2*(h - 1)**3*(h + 1)*(h + 2)
Let z(b) be the second derivative of -b**5/60 - b**4/18 + b**3/18 + b**2/3 - b - 31. Factor z(x).
-(x - 1)*(x + 1)*(x + 2)/3
Let i(c) = -3*c**3 - 2*c**2 + 7*c - 6. Let d(v) = 2*v**3 + 3*v**2 - 7*v + 7. Let m(u) = -4*d(u) - 5*i(u). Solve m(z) = 0 for z.
-1, 2/7, 1
Let g(n) be the first derivative of 4*n**5/5 + n**4 - 4*n**3/3 - 2*n**2 - 1. Factor g(f).
4*f*(f - 1)*(f + 1)**2
Let r(l) = l**3 + 6*l**2 + 6*l + 7. Let k be r(-5). What is n in -3*n**3 + n**4 + 3*n**4 - 3*n**4 + 0*n**3 + 2*n**k = 0?
0, 1, 2
Suppose 15 = 6*n - 5*n. Let a be (-51)/(-15) - 6/n. Find p, given that -4/7*p**4 + 0 + 0*p**2 + 0*p - 2/7*p**a - 2/7*p**5 = 0.
-1, 0
Suppose 7 + 3 = p. Suppose p = k + 2*k - 2*c, 0 = -k + 2*c + 6. Determine f, given that -1/4 + 3/4*f**4 + 3/4*f - 1/2*f**3 - 1/2*f**k - 1/4*f**5 = 0.
-1, 1
Let o(h) be the first derivative of -h**7/480 + h**6/720 + 7*h**5/480 - h**4/48 + 2*h**3/3 + 3. Let j(x) be the third derivative of o(x). Factor j(t).
-(t - 1)*(t + 1)*(7*t - 2)/4
Let q(d) be the first derivative of -3 + 0*d**3 + 0*d - 1/8*d**4 + 0*d**2. Factor q(f).
-f**3/2
Let p(u) be the first derivative of -1/3*u**2 + 0*u + | {
"pile_set_name": "DM Mathematics"
} |
) 7/165
d
Which is the biggest value? (a) 90 (b) 3/2 (c) -8/49 (d) -3/7
a
Which is the fifth biggest value? (a) 1 (b) -3 (c) 3.06 (d) 0.4 (e) 2
b
What is the fourth smallest value in 0.4, -2/7, -189, 9, -0.1?
0.4
What is the fifth biggest value in 0, 3/8, -1, 286, -1/2, 0.4?
-1/2
What is the fourth smallest value in -0.5, 1.981, 3.5, 5?
5
Which is the second biggest value? (a) -4.7 (b) 0 (c) 0.059
b
Which is the fourth biggest value? (a) 2/25 (b) 0.09 (c) -5 (d) 10
c
What is the fourth biggest value in 0, 5, 0.192, 19?
0
Which is the fifth smallest value? (a) 22 (b) 2 (c) -6/371 (d) -1 (e) 3/4
a
What is the second smallest value in -3/2, 8/4539, -6?
-3/2
What is the third biggest value in 830, 1/8, -1, -0.4?
-0.4
Which is the second smallest value? (a) 4/7 (b) -2 (c) -5 (d) 28 (e) 26
b
What is the smallest value in -1/291, 0.4, 1/120?
-1/291
What is the fifth biggest value in 3, 1/8, 4, -1/4, 8453?
-1/4
Which is the smallest value? (a) -0.5 (b) 0.01 (c) -2/3 (d) -4.246
d
Which is the second biggest value? (a) -5 (b) -58 (c) 6/7 (d) 3/5 (e) 2
c
What is the smallest value in 0.5, -0.09, 4, -44, -34?
-44
What is the smallest value in 0.1, 0.14, -35, 0.4?
-35
Which is the third biggest value? (a) 0.00335 (b) -1 (c) 3 (d) -2
b
What is the fourth smallest value in -2261, 1, 2, -1/4, -4/7?
1
Which is the biggest value? (a) -5/498 (b) 3/5 (c) -2
b
What is the third biggest value in -1/4, -6, -0.2, 1/6, -0.3, 344.3?
-0.2
Which is the fourth smallest value? (a) -0.3 (b) -5 (c) -3/5 (d) 25/33
d
What is the biggest value in -0.3, -3, -2, -81, 2/15?
2/15
Which is the third biggest value? (a) 3 (b) -0.2 (c) 1 (d) -1/6 (e) -1 (f) -225
d
Which is the fifth smallest value? (a) 5 (b) 21 (c) 1.8 (d) -5 (e) -0.3 (f) -2/3
a
Which is the third smallest value? (a) 9/2 (b) 1368 (c) 0.2 (d) -0.2
a
What is the second smallest value in -4/9, 5/2, 6.561?
5/2
Which is the third biggest value? (a) 1380 (b) -14 (c) 0
b
Which is the third biggest value? (a) -0.36 (b) 6800 (c) -5 (d) 1
a
Which is the smallest value? (a) -0.17 (b) -16 (c) -5/2 (d) -0.01 (e) 0.64
b
Which is the third biggest value? (a) 0.93 (b) -5 (c) 3 (d) 4 (e) 1 (f) -16
e
Which is the third smallest value? (a) 0.2 (b) 842330 (c) -3/5
b
What is the fifth smallest value in 2/23, -12, -0.5, -0.6, 0.4?
0.4
What is the third biggest value in -10, -12, 18?
-12
What is the third biggest value in 0.1, 5, 3/10, 30, -3, -0.7?
3/10
What is the biggest value in 1, 0.0926, -1.02?
1
What is the second biggest value in 105/151, 123, 2/3?
105/151
What is the biggest value in -3, -0.2, 0.3, -1/15, 0.2, 1083/10?
1083/10
Which is the biggest value? (a) -143/1273 (b) -0.1 (c) 0.4
c
Which is the second biggest value? (a) 0 (b) -0.3 (c) -1381/3 (d) 3/2 (e) -1
a
What is the third biggest value in 5, 3/4, 13819, -2/31?
3/4
Which is the second smallest value? (a) -6027 (b) 4 (c) 8 (d) -7
d
Which is the fourth biggest value? (a) 1/2 (b) 0 (c) 45 (d) -0.3 (e) -5
d
What is the second biggest value in -1/1708, 4.7, -4?
-1/1708
What is the biggest value in 1/5, 3/4, -0.1, 0.01, -0.4, -4?
3/4
Which is the biggest value? (a) -1/37 (b) 0.01 (c) -13.9
b
What is the smallest value in 10, -2, 29193?
-2
Which is the biggest value? (a) -313 (b) -9/5 (c) -12
b
What is the second smallest value in -2/3, 85, 1/73, -0.08?
-0.08
What is the third smallest value in -2/7, 5, 3, -0.045, 29/18?
29/18
Which is the biggest value? (a) -0.2 (b) -12.2073 (c) 4/7
c
What is the third biggest value in 10, 8/283, 5?
8/283
Which is the fourth biggest value? (a) -1 (b) 0.3 (c) -0.4 (d) -3143
d
What is the fourth biggest value in -8, -2, 0.11, 1?
-8
Which is the second biggest value? (a) 1/5 (b) -3450 (c) -0.2
c
What is the fifth smallest value in 0.4, 6, -24, 3, 0.2, -1?
3
Which is the third biggest value? (a) -1853 (b) 31 (c) -2
a
Which is the second smallest value? (a) -0.3 (b) -0.09 (c) -2/37 (d) -2 (e) -1
e
Which is the smallest value? (a) -2/11 (b) -5 (c) 21 (d) 4 (e) 2/5 (f) 3/7
b
Which is the smallest value? (a) 9 (b) -0.4 (c) 1/4 (d) -2/13 (e) 0.5
b
What is the fourth biggest value in 3, -14, -2, 0, 1, 267?
0
Which is the smallest value? (a) -22969 (b) -3/4 (c) -2/5 (d) 5/2
a
Which is the sixth biggest value? (a) 13 (b) 2/3 (c) 0.3 (d) 3/101 (e) -1 (f) -3
f
What is the third smallest value in 668.785, -3/5, 1/3?
668.785
What is the fourth smallest value in -211.9, -4/5, -0.1, -6?
-0.1
Which is the biggest value? (a) 0 (b) -2 (c) 1 (d) -10/23 (e) 6/7 (f) -0.3
c
What is the third biggest value in 9767, -7, -0.4?
-7
Which is the third biggest value? (a) 0.411 (b) -3 (c) 0.05 (d) -4
b
What is the third biggest value in 2/3, 5/2, -81, -1/8?
-1/8
What is the third biggest value in 0.4, 2/19, 12, -1/19, 0.56?
0.4
Which is the third smallest value? (a) 2/11 (b) 476 (c) 8/7
b
What is the third biggest value in 100, -2/25, -6/5?
-6/5
Which is the biggest value? (a) -0.2 (b) 0.1 (c) -6.6 (d) 1.96
d
What is the second smallest value in 1, 135, 283, -3?
1
Which is the third smallest value? (a) 46 (b) 4 (c) 24.7
a
Which is the smallest value? (a) 0.5 (b) -5/4 (c) 2906
b
What is the fifth biggest value in -5, -2, -3, -270, 0.062?
-270
Which is the fifth smallest value? (a) -4 (b) 4 (c) -0.4 (d) -6/337 (e) 0.2 (f) -1
e
What is the fourth smallest value in 0.2, 0.5, 173, -139, -2/3?
0.5
Which is the fifth smallest value? (a) -1/7 (b) 1/9 (c) 3/1093 (d) -2 (e) -1
b
Which is the third smallest value? (a) 3 (b) -1.5 (c) -12079
a
What is the third smallest value in 4, 1, -69, -3.59, -1?
-1
Which is the smallest value? (a) -3 (b) -4476 (c) -1
b
Which is the fifth smallest value? (a) 3 (b) -3/5 (c) -1 (d) -0.12 (e) 0.1
a
What is the second biggest value in 3418, -3, 0.1, -1?
0.1
What is the second biggest value in -2011, 4, -0.24?
-0.24
What is the smallest value in -5, 7, -25/11?
-5
Which is the biggest value? (a) 0.03 (b) 142 (c) -1 (d) -0.2
b
What is the second biggest value in 0, -331.78, 0.4, 4?
0.4
What is the fourth smallest value in 3/103, 1/15, -3, 5, 0.03?
1/15
Which is the fourth smallest value? (a) -5 (b) -4 (c) 19 (d) -2678
c
Which is the fourth smallest value? (a) -123 (b) -83.9 (c) -1/3 (d) 0.5
d
What is the sixth biggest value in -18, -0.3, -1/4, 20, -0.04, 5?
-18
Which is the second biggest value? (a) -10 (b) 2/3 (c) -0.104
c
What is the third smallest value in -4/5, 0.07, -15, -30?
-4/5
Which is the biggest value? (a) 74 (b) 0 (c) -28
a
What is the fourth smallest value in 0.3, 18, 17/3, 1?
18
Which is the second smallest value? (a) -4 (b) 2 (c) -0.056 (d) 18
c
What is the second biggest value in 2, 34, -0.1, -16, 1.5?
2
Which is the second biggest value? (a) 1/7 (b) 1 (c) 354169
b
Which is the fourth smallest value? (a) -1/2 (b) 1 (c) 3/2 (d) -109 (e) -2/177 (f) -0.1
e
Which is the third smallest value? (a) 313 (b) -2 (c) -29
a
Which is the fifth smallest value? (a) -0.5 (b) 21 (c) 2/17 (d) -2 (e) 3 (f) 0.3
e
What is the biggest value in -6.2, 2/11, -0.495?
2/11
What is the second biggest value in 1489, -1.5, -6?
-1.5
What is the fourth smallest value in 5, -0.606, 2/13, 280?
280
What is the third smallest value in 1177, -6/19, 5?
1177
What is the fifth biggest value in -1, 5, -2/11, -41, 0.3, -0.3?
-1
What is the fifth biggest value in 0.1, 2/9, -5, -41, -2, 0.36?
-5
What is the smallest value in -1/3, 4/97, 0.22, 1/12, 3/7?
-1/3
Which is the fifth biggest value? (a) -1 (b) -0.43 (c) 2 (d) 0.3 (e) -0.012
a
What is the biggest value in 6/13, 4/3, 71, 1?
71
Which is the biggest value? (a) 5 (b) 1 (c) 2/3 (d) 84 (e) -19.3
d
What is the second smallest value in -4, -196505, -2?
-4
What is the third biggest value in 438/17, 10, 0, 2/7, -0.1?
2/7
Which is the fourth biggest value? (a) 0.5 (b) 0 (c) -1.06 (d) -50
d
What is the fourth smallest value in -2/11, 33, -5, -1/14, 462?
33
What is the fifth biggest value in -5, -112, -53, -2/5, 2/15?
-112
Which is the fifth smallest value? (a) 2 (b) 1/6 (c) 0.1 (d) -110/3 (e) -2/15
a
What is the smallest value in 1/27, 42, 4/7, -0.042?
-0.042
What is the third smallest value i | {
"pile_set_name": "DM Mathematics"
} |
t: 7, x: 3, r: 5}. Give prob of picking 1 x, 1 r, and 1 t.
3/16
What is prob of picking 1 w and 1 p when two letters picked without replacement from {c: 1, x: 2, w: 2, d: 1, p: 1}?
2/21
What is prob of picking 2 k and 2 c when four letters picked without replacement from kkkxakcccqqkqqkcqq?
1/34
Three letters picked without replacement from {b: 1, t: 3, q: 1, x: 1, h: 1}. Give prob of picking 2 t and 1 h.
3/35
What is prob of picking 2 s when two letters picked without replacement from {c: 8, l: 2, s: 2, b: 5}?
1/136
Calculate prob of picking 2 y when two letters picked without replacement from {j: 9, r: 1, q: 1, t: 1, y: 8}.
14/95
Two letters picked without replacement from exegggcgcgceg. Give prob of picking 1 c and 1 x.
1/26
Four letters picked without replacement from {t: 3, v: 3, g: 1, c: 2, y: 3, i: 3}. Give prob of picking 1 c, 1 y, and 2 t.
6/455
Two letters picked without replacement from {a: 4, y: 7}. Give prob of picking 2 y.
21/55
Four letters picked without replacement from {h: 3, d: 4, z: 2}. What is prob of picking 3 h and 1 d?
2/63
Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {z: 1, k: 1, b: 3, d: 11, n: 2}.
1/153
Calculate prob of picking 2 o when two letters picked without replacement from {o: 9, h: 1, c: 4}.
36/91
Four letters picked without replacement from llljjlljljljl. Give prob of picking 4 j.
1/143
What is prob of picking 3 u and 1 b when four letters picked without replacement from eubbubuebube?
4/99
Calculate prob of picking 3 p when three letters picked without replacement from {g: 15, p: 3}.
1/816
What is prob of picking 2 r and 2 s when four letters picked without replacement from srrsrrsrsrrs?
14/33
What is prob of picking 3 v and 1 h when four letters picked without replacement from hvvvvvvhhhvhvvhh?
21/65
Four letters picked without replacement from eejdxejjesddesedx. Give prob of picking 1 e, 2 s, and 1 x.
3/595
Two letters picked without replacement from iiiiiixiiqdiiid. Give prob of picking 1 q and 1 d.
2/105
Calculate prob of picking 2 e and 1 c when three letters picked without replacement from ececec.
9/20
Four letters picked without replacement from {q: 2, b: 2, e: 2, a: 2}. Give prob of picking 1 q, 2 a, and 1 e.
2/35
What is prob of picking 1 e and 1 c when two letters picked without replacement from dcfaaedj?
1/28
What is prob of picking 2 v when two letters picked without replacement from {u: 1, t: 3, f: 2, v: 2, z: 6}?
1/91
What is prob of picking 1 s and 1 z when two letters picked without replacement from vgvaszkvsvasgk?
3/91
Two letters picked without replacement from {o: 5, q: 1, g: 1, x: 1, n: 3, z: 1}. Give prob of picking 1 n and 1 q.
1/22
What is prob of picking 1 h, 1 t, and 1 r when three letters picked without replacement from vtkhffr?
1/35
Two letters picked without replacement from {j: 3, r: 1, p: 4, i: 1, a: 2}. What is prob of picking 2 j?
3/55
Three letters picked without replacement from {y: 2, c: 2}. What is prob of picking 1 y and 2 c?
1/2
Two letters picked without replacement from {a: 1, l: 2, m: 4, r: 2, o: 3}. Give prob of picking 1 r and 1 l.
2/33
What is prob of picking 2 z when two letters picked without replacement from {z: 6, u: 8, t: 1}?
1/7
Four letters picked without replacement from {v: 1, q: 1, j: 2, l: 1}. Give prob of picking 3 l and 1 j.
0
Two letters picked without replacement from {d: 3, k: 6, x: 8}. Give prob of picking 1 x and 1 d.
3/17
Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 2, o: 1, i: 1, a: 2, d: 2}.
1/7
Calculate prob of picking 1 v and 2 p when three letters picked without replacement from cvppcvcppppp.
21/110
Two letters picked without replacement from {v: 4, a: 1, u: 3, p: 2, n: 3, d: 2}. Give prob of picking 2 v.
2/35
Calculate prob of picking 1 y and 1 p when two letters picked without replacement from yyyyypypyypyyypyyyyy.
32/95
Three letters picked without replacement from {b: 3, c: 4, z: 1, m: 3, h: 3, r: 1}. Give prob of picking 1 h, 1 r, and 1 m.
9/455
What is prob of picking 1 o and 1 b when two letters picked without replacement from {e: 1, l: 3, q: 2, k: 2, o: 1, b: 3}?
1/22
Three letters picked without replacement from {o: 2, h: 1, n: 1, p: 2, i: 1, z: 2}. Give prob of picking 1 z, 1 p, and 1 h.
1/21
Two letters picked without replacement from sys. What is prob of picking 2 s?
1/3
Calculate prob of picking 1 z and 3 a when four letters picked without replacement from {z: 3, a: 3}.
1/5
Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {f: 8, v: 3}.
28/55
Two letters picked without replacement from nthritb. What is prob of picking 1 r and 1 t?
2/21
Two letters picked without replacement from {v: 1, a: 1, j: 4, s: 2}. What is prob of picking 2 j?
3/14
Two letters picked without replacement from okxoooxookxyg. Give prob of picking 1 o and 1 x.
3/13
Two letters picked without replacement from {e: 14, v: 4}. What is prob of picking 2 v?
2/51
What is prob of picking 1 c and 1 n when two letters picked without replacement from {f: 4, q: 1, c: 7, n: 1}?
7/78
What is prob of picking 1 v, 1 q, and 1 b when three letters picked without replacement from {b: 1, y: 2, t: 1, q: 2, v: 1, k: 1}?
1/28
Four letters picked without replacement from {x: 19, r: 1}. What is prob of picking 4 x?
4/5
Four letters picked without replacement from {l: 2, q: 1, y: 1, z: 1}. What is prob of picking 1 z, 1 q, and 2 l?
1/5
Calculate prob of picking 1 o, 1 f, and 1 t when three letters picked without replacement from ftoccfgcggccfgfc.
1/140
What is prob of picking 1 s and 1 c when two letters picked without replacement from {u: 2, f: 3, c: 1, s: 2, t: 9, b: 3}?
1/95
Four letters picked without replacement from ggcccggcccgcggggcc. Give prob of picking 4 g.
7/170
Two letters picked without replacement from {c: 2, y: 2, s: 2, x: 7, u: 2}. Give prob of picking 2 x.
1/5
Four letters picked without replacement from essesjssyeeeeeeseaae. Give prob of picking 1 j, 1 y, and 2 s.
1/323
What is prob of picking 1 z and 1 u when two letters picked without replacement from {u: 3, z: 1, j: 5, a: 1, f: 4, v: 4}?
1/51
What is prob of picking 1 j and 1 o when two letters picked without replacement from {o: 1, e: 3, p: 1, b: 1, j: 1}?
1/21
Two letters picked without replacement from ililiiiii. What is prob of picking 2 i?
7/12
Calculate prob of picking 1 z and 1 p when two letters picked without replacement from dddzdpzzzzd.
1/11
Three letters picked without replacement from {z: 1, u: 2, g: 1, t: 2}. Give prob of picking 1 t, 1 u, and 1 z.
1/5
Calculate prob of picking 1 r and 2 h when three letters picked without replacement from dfssidsridhisdh.
1/455
Calculate prob of picking 1 y, 1 m, and 1 b when three letters picked without replacement from {m: 2, b: 6, u: 3, y: 1}.
3/55
What is prob of picking 2 a and 1 u when three letters picked without replacement from {q: 2, a: 2, c: 1, u: 4}?
1/21
Two letters picked without replacement from {p: 9, z: 2, i: 4, h: 1}. What is prob of picking 1 h and 1 i?
1/30
What is prob of picking 1 q and 1 o when two letters picked without replacement from {o: 1, k: 1, q: 2, t: 1, g: 1, s: 1}?
2/21
Three letters picked without replacement from lllllllll. What is prob of picking 3 l?
1
What is prob of picking 1 e and 1 f when two letters picked without replacement from {f: 15, e: 5}?
15/38
Calculate prob of picking 2 u and 1 j when three letters picked without replacement from {u: 17, j: 2}.
16/57
Four letters picked without replacement from {p: 1, c: 1, l: 2, z: 2, b: 2, v: 1}. What is prob of picking 1 l, 1 c, 1 p, and 1 b?
2/63
Calculate prob of picking 3 n and 1 r when four letters picked without replacement from rnpnnnnnnnnnnnn.
22/105
Three letters picked without replacement from dodduduuuo. What is prob of picking 2 d and 1 u?
1/5
Two letters picked without replacement from eddddedwwe. What is prob of picking 1 d and 1 w?
2/9
Two letters picked without replacement from zyypjpddezyyy. What is prob of picking 2 p?
1/78
Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {a: 1, n: 1, i: 1, b: 1, r: 1}.
1/10
What is prob of picking 2 k and 1 t when three letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from vnnnyyk?
1/21
What is prob of sequence ccv when three letters picked without replacement from vicibbbvbici?
1/330
What is prob of sequence chh when three letters picked without replacement from {c: 1, h: 2}?
1/3
Calculate prob of sequence xaxa when four letters picked without replacement from ydydddxdyydayd.
0
What is prob of sequence tttg when four letters picked without replacement from utuuututuugtuguu?
1/910
What is prob of sequence ezz when three letters picked without replacement from zzzzehehzzz?
14/165
What is prob of sequence zzh when three letters picked without replacement from {z: 5, m: 3, h: 4, o: 1}?
20/429
Two letters picked without replacement from {h: 4, p: 1, g: 1, t: 7, m: 2, c: 2}. Give prob of sequence mp.
1/136
Calculate prob of sequence ccc when three letters picked without replacement from cecceceeceeececeecce.
7/95
Two letters picked without replacement from {y: 3, m: 1, j: 1}. What is prob of sequence mj?
1/20
Calculate prob of sequence knar when four letters picked without replacement from {i: 1, a: 2, n: 1, r: 1, k: 1, h: 1}.
1/420
Two letters picked without replacement from rpkarakkapa. What is prob of sequence ra?
4/55
Two letters picked without replacement from vvywwov. Give prob of sequence vv.
1/7
Two letters picked without replacement from xjchl. Give prob of sequence jl.
1/20
Calculate prob of sequence hhn when three letters picked without replacement from {h: 2, n: 3, e: 4, u: 2}.
1/165
Calculate prob of sequence fj when two letters picked without replacement from xkkfjmi.
1/42
Calculate prob of sequence wwy when three letters picked without replacement from {n: 5, y: 3, f: 3, p: 1, w: 2, m: 1}.
1/455
Two letters picked without replacement from {n: 2, j: 5, y: 3, m: 3}. Give prob of sequence ym.
3/52
Two letters picked without replacement from {i: 7, a: 4, f: 2}. What is prob of sequence fi?
7/78
Four letters picked without replacement from hyhchpphhhpfc. What is prob of sequence chch?
1/286
Three letters picked without replacement from {x: 5, e: 1, v: 3, o: 2, w: 1}. What is prob of sequence xwe?
1/264
Two letters picked without replacement from duxpxyuxuuuyppxudu. What is prob of sequence ud?
7/153
Calculate prob of sequence mu when two letters picked without replacement from {u: 3, m: 1}.
1/4
Four letters picked without replacement from {s: 2, r: 8, d: 2}. Give prob of sequence rrsr.
28/495
Four letters picked without replacement from ammmmmmmmmmmkhmkmkmi. What is prob of sequence kiha?
1/38760
Two letters picked without replacement from nclnoon. What is prob of sequence ln?
1/14
What is prob of sequence qb when two letters picked without replacement from pbpulbqqpuqp?
1/22
Three letters picked without replacement from ttatttttttatta. What is prob of sequence ata?
11/364
Three letters picked without replacement from nanonnaoonaonna. Give prob of sequence onn.
4/65
Two letters picked without replacement from cutvvuvqvcvuuuqvtvqq. What is prob of sequence qc?
2/95
Two letters picked without replacement from {s: 4, c: 4, h: 6}. Give prob of sequence cc.
6/91
What is prob of sequence xrg when three letters picked without replacement from rgxnljr?
1/105
What is prob of sequence hhm when three letters picked without replacement from {m: 3, h: 11, r: 4}?
55/816
Three letters picked without replacement from {r: 6, p: 3, m: 1, b: 5, d: 1, s: 1}. What is prob of sequence prp?
3/340
Two letters picked without replacement from {g: 4, c: 10, j: 4, u: 2}. What is prob of sequence jg?
4/95
What is prob of sequence vvv when three letters picked without replacement from {v: 10}?
1
What is prob of sequence bbb when three letters picked without replacement from ccbdddcbcdcbcdbc?
1/140
Three letters picked without replacement from {o: 5, j: 5}. What is prob of sequence joj?
5/36
What is prob of sequence ky when two letters picked without replacement from {k: 1, y: 3}?
1/4
What is prob of sequence fkff when four letters picked without replacement from kfyk?
0
Three letters picked without replacement from {s: 5, z: 14}. What is prob of sequence ssz?
140/2907
What is prob of sequence ox when two letters picked without replacement from {x: 6, o: 12}?
4/17
Two letters picked without replacement from yzyok. What is prob of sequence yy?
1/10
What is prob of sequence jj when two letters picked without replacement from {i: 3, o: 1, l: 2, f: 2, j: 9, d: 1}?
4/17
Three letters picked without replacement from {e: 2, s: 2, c: 1, f: 9}. What is prob of sequence sse?
1/546
Two letters picked without replacement from {f: 4, g: 4, m: 7}. Give prob of sequence fg.
8/105
Calculate prob of sequence ssu when three letters picked without replacement from {s: 4, w: 2, f: 2, u: 5}.
5/143
Calculate prob of sequence hll when three letters picked without replacement from htllthhhlhhhhtlhhhr.
22/969
Calculate prob of sequence ni when two letters picked without replacement from {i: 5, n: 6, u: 6, r: 1}.
5/51
Two letters picked without replacement from {o: 3, y: 1, x: 2, l: 3, u: 1}. Give prob of sequence yx.
1/45
What is prob of sequence hgh when three letters picked without replacement from hhgghgghhgggg?
40/429
What is prob of sequence ei when two letters picked without replacement from {p: 4, e: 2, i: 7}?
7/78
Two letters picked without replacement from {w: 5, j: 1, m: 4}. What is prob of sequence wj?
1/18
Calculate prob of sequence akk when three letters picked without replacement from ikkkikaa.
1/14
Four letters picked without replacement from {e: 10, h: 9}. Give prob of sequence eheh.
45/646
Calculate prob of sequence vgw when three letters picked without replacement from {g: 12, s: 1, w: 1, v: 1}.
2/455
Four letters picked without replacement from gyllgqylgyy. What is prob of sequence yqly?
1/220
Three letters picked without replacement from wwttwwwt. Give prob of sequence twt.
5/56
Four letters picked without replacement from {w: 1, g: 3}. Give prob of sequence wwww.
0
What is prob of sequence cy when two letters picked without replacement from bpryqcb?
1/42
Three letters picked without replacement from eeevevvevv. Give prob of sequence eve.
5/36
Calculate prob of sequence idai when four letters picked without replacement from {d: 2, q: 1, a: 3, i: 10}.
9/728
Calculate prob of sequence vr when two letters picked without replacement from {y: 6, w: 2, r: 4, s: 1, v: 2}.
4/105
Calculate prob of sequence rkrr when four letters picked without replacement from {k: 4, r: 3}.
1/35
Two letters picked without replacement from {d: 1, z: 1, a: 1, w: 2, c: 4}. What is prob of sequence dc?
1/18
Two letters picked without replacement from hbihhddddkkbdib. Give prob of sequence id.
1/21
What is prob of sequence nn when two letters picked without replacement from oonnnonnnnn?
28/55
Three letters picked without replacement from wwriiirtvwwrior. What is prob of sequence rvo?
2/1365
Two letters picked without replacement from {b: 4, d: 1, l: 6, w: 1, m: 6}. Give prob of sequence mb.
4/51
What is prob of sequence rrg when three letters picked without replacement from ygrugyghmmmuyurmumgu?
1/855
What is prob of sequence jr when two letters picked without replacement from jrgggjyrgjrxjg?
6/91
Calculate prob of sequence ime when three letters picked without replacement from {i: 9, m: 1, e: 1, n: 1, w: 2, u: 1}.
3/910
Two letters picked without replacement from {z: 12, l: 3, s: 1}. What is prob of sequence sl?
1/80
What is prob of sequence wofp when four letters picked without replacement from shsoffowp?
1/756
Three letters picked without replacement from {k: 4, q: 4, j: 11}. What is prob of sequence qqk?
8/969
What is prob of sequence ujwu when four letters picked without replacement from ulalaajoajuwoj?
1/4004
Two letters picked without replacement from jjjwwjjjjsjjsjjjw. What is prob of sequence ww?
3/136
What is prob of sequence kaak when four letters picked without replacement from aaaakaaka?
1/36
Calculate prob of sequence tm when two letters picked without replacement from mtmmmmmmtmmmmmkmmktm.
9/76
Four letters picked without replacement from wwvryynyywynywyv. Give prob of sequence ryvv.
1/3120
Calculate prob of sequence udv when three letters picked without replacement from {m: 1, q: 1, c: 2, u: 2, d: 7, v: 4}.
7/510
Calculate p | {
"pile_set_name": "DM Mathematics"
} |
pose -6*c + s = -c. What is the units digit of c?
8
Suppose 3*l - 2129 = -2*c, -4*c - 5*l + 2468 = -1787. What is the units digit of c?
0
Suppose -6*b - 7 + 19 = 0. Suppose -7*y + 355 = -b*y. What is the tens digit of y?
7
Let i(b) = 8*b + b - 21*b**3 + 44*b**3 - 24*b**3 - 11*b**2. Let p(k) = k**2 + 8*k. Let d be p(-6). What is the tens digit of i(d)?
3
Let v be -1 + 10 + (4 - 8). Let f(c) = 2*c**2 + c + 2. Let z be f(v). Suppose z = 4*a - a. What is the units digit of a?
9
Let p(h) = 0 - 1 - 3*h + h + 4*h**3 - 5*h**3 + 3*h**2. Let g be p(-3). Let f = g - 33. What is the tens digit of f?
2
Let g = 3699 + -784. What is the tens digit of g?
1
Let g = 2 - 2. Let f be 1/2*(-10)/(-1). Suppose -53 = -4*c + 2*y + 115, g = -f*c + 3*y + 211. What is the tens digit of c?
4
Let g be 95/19 - (3 + -2 - 0). Suppose 0 = -4*c - 3*q + 210 + 19, 4*c - g*q - 236 = 0. What is the units digit of c?
8
Suppose 65650 = -39*u + 216112. What is the hundreds digit of u?
8
Let h(a) = -a - 1. Let b be h(-3). Suppose -b*c + 6 = -18. What is the tens digit of c?
1
Let a = 187 - -159. What is the tens digit of a?
4
Let b = 383 + -118. Let p = b + -142. What is the units digit of p?
3
Let u(h) = h**3 + h**2 + 2*h**2 - h + 9 - 11. Let x be u(-2). Suppose -f = 2*z + 2*f - 114, -x*z + 4*f = -188. What is the units digit of z?
1
Suppose 3*v + 3*m = 6*m, 5*v - 2*m = 15. Suppose -735 = -5*u - 3*i, 5*u + 0*i = v*i + 735. What is the tens digit of u?
4
Suppose 7 = -2*g + 49. Suppose 0 = g*f - 15*f - 1632. What is the units digit of f?
2
Suppose -u + 3759 = 4*x, 3*u = -4*x + 5*u + 3762. What is the tens digit of x?
4
Let q = 0 + 4. Suppose 5*a + 41 = q*j, -3*a = -3 + 18. Suppose -5 = 3*p - 4*p + j*m, 0 = 4*m. What is the units digit of p?
5
Let w(d) = d**3 + 12*d**2 + 12*d - 58. What is the units digit of w(-8)?
2
Suppose 0 = -4*p - 5*l + 122, 2*p + l = 7*p - 167. What is the tens digit of p?
3
Suppose 176 = 6*d - 2*d. Let r = 91 - d. What is the units digit of r?
7
Suppose -8872 - 6627 = -11*h. What is the units digit of h?
9
Let c(y) = -2*y - 2. Let s be c(0). Let u be 1 + 0 + s/(-1). Suppose -u*t = -26 - 52. What is the tens digit of t?
2
Let g(m) = 15*m**2 - 2*m + 4. Let a(z) = -7*z**2 + z - 2. Let h(r) = -5*a(r) - 2*g(r). Let w be h(-2). What is the units digit of w/(-16) - (-22)/4?
4
Let j be (-1)/(3 + 57/(-18)). Suppose -2*n + 170 = 4*c, -c + j*c - 2*n = 208. What is the tens digit of c?
4
Let q = -5 - -8. What is the hundreds digit of (0 - q)*-41 + -3?
1
Suppose v = -4*v + 70. Suppose y = -4*n + 3, -6*n + n + 6 = 2*y. Suppose 4 = y*m - v. What is the units digit of m?
6
Let g = 48 - 6. Suppose -w + g = 2*w. Suppose -2*u = -5*u + 3*p + 21, -4*p - w = 3*u. What is the units digit of u?
2
Let g = -793 - -2059. What is the tens digit of g?
6
Let c(j) = 64*j - 56. What is the hundreds digit of c(5)?
2
What is the hundreds digit of 4 + 5 - (-867 + -38)?
9
Suppose 0 = 3*o - 3*s - 57, -3*o + 81 = -5*s + 24. Suppose -o - 6 = -5*x. Suppose 57 = x*m - 93. What is the units digit of m?
0
Let q(n) = n**2 + 4*n - 2. Let p be q(-8). Suppose -p = -5*w + 105. Suppose -5*d + 25 = 0, 6 = 2*t + 3*d - w. What is the units digit of t?
9
Let r be -2*2/(-4) + -3. Let f be 4*((-2)/r - 0). What is the units digit of (-2*f)/(-4)*5?
0
What is the tens digit of -22*(58/(-20) + 2/5)?
5
Let f(d) = -d**3 + d**2 + 3*d - 3. Let z be f(-2). Suppose z*j - 2*i = 230, -2*j - i = 3*j - 366. What is the tens digit of j?
7
Let g(q) = q**2 + 7*q + 10. Let h be g(-6). Suppose h*a = 3*a + 57. What is the tens digit of a?
5
Suppose 3*h = -u + 10058, -u - 3032 = -h + 318. What is the tens digit of h?
5
Let g(p) = -13*p - 5 + 1 + 6 - 1. Let i be g(-5). What is the tens digit of (3 - 10/4)*i?
3
Suppose f + 2*f - 15 = 2*h, h = 0. Suppose f*w - 41 = 3*r + 54, -3*w + 33 = 3*r. What is the units digit of -3 + 3/(-3) + w?
2
Let u = -949 + 2433. What is the units digit of u?
4
Let x(g) = -458*g + 27. What is the hundreds digit of x(-5)?
3
Let j = 11 - 15. What is the units digit of (17 - (3 - 6)) + j?
6
Suppose -3*f + 5*f - 38 = -2*n, 2*f + 34 = 2*n. What is the units digit of -4 + 4 - (n/(-2))/1?
9
Let h = -34 - -1811. What is the tens digit of h?
7
Suppose 79*c - 1964 = 77*c. What is the units digit of c?
2
Let w be 22/(2/(-44)*-1). Let o = w + -300. What is the tens digit of o?
8
Suppose -7*f + 11658 - 1830 = 0. What is the thousands digit of f?
1
Suppose -h + 12 = 5*a, a - 5 = -4*h + 5. Suppose 3*o + 2*w = 42, -o - 7*w + 27 = -a*w. What is the tens digit of (-266)/(-10) - o/(-30)?
2
Suppose 5*k + 15 = -0*k. Suppose 108*t + 492 = 120*t. Let w = k + t. What is the tens digit of w?
3
Let o = -164 - -254. Let v = -63 + o. Suppose 0 = -2*z + v + 63. What is the units digit of z?
5
Suppose -4305 = -3*s - 3*t, 2*s + 5*t = 3766 - 890. What is the thousands digit of s?
1
Suppose 3*y = 15*r - 17*r + 1002, 3*y - r = 993. What is the units digit of y?
2
Let y = 137 + -35. Let g = y + -38. What is the units digit of g?
4
Suppose -71*g + 73*g = -4*r + 1780, r = 2*g + 445. What is the tens digit of r?
4
Let o = 1801 + -1312. What is the tens digit of o?
8
What is the units digit of (399/7)/((-134)/140 - -1)?
0
Let c(x) = -481*x**3 - 9*x**2 + 1. What is the tens digit of c(-1)?
7
Suppose -73*v = -78*v + 4050. What is the units digit of v?
0
Let j(n) = -n**2 + 10*n + 6. Let w be j(12). Let v = 18 - w. What is the units digit of v?
6
Suppose -386*z - 6675 = -391*z. What is the tens digit of z?
3
Let v = 26 - 13. Suppose -2*a - v = -57. What is the tens digit of a?
2
Let h be (-1245)/5 + 6/(-2). Let f be (-4)/(-8) + h/(-8). Suppose w = 30 + f. What is the units digit of w?
2
Let s(i) = 4*i + 4. Let g(t) = -3*t - 4. Let a(l) = -3*g(l) - 2*s(l). Let r be a(0). Let o = r + 9. What is the tens digit of o?
1
Suppose -17*f = -34806 - 45281. What is the units digit of f?
1
Suppose -j - 5*n + 1674 = 0, -5*j = -j - 5*n - 6771. What is the thousands digit of j?
1
Let z = 38 + -34. Let u be (1 - 6/z)*0. Suppose u = -5*y - 0*y + 15. What is the units digit of y?
3
Suppose -3*s - 126 = 6*s. What is the units digit of 12/(-210)*-1355 + 6/s?
7
Let j = 4 + 9. Let n = 18 - j. Let c(k) = 8*k - 6. What is the tens digit of c(n)?
3
Let x(b) = 25*b**3 - 5*b**2 + 1. Let t(w) = -4 + 4 - 14*w**3 - 12*w**3 - 1 + 4*w**2. Let z(f) = -6*t(f) - 5*x(f). What is the tens digit of z(1)?
3
Let o = -33 - -106. Suppose 0 = 107*i - 110*i - 3*y + 411, 0 = y. Let x = i - o. What is the units digit of x?
4
Suppose 0*o - 1 = -o. Let r(v) = -5*v**3 + 9*v**2 - 8*v - 7. Let q(c) = c**3 - c**2 + c + 1. Let w(s) = o*r(s) + 6*q(s). What is the units digit of w(-3)?
5
Suppose 12*c - 7918 + 2854 = 0. What is the tens digit of c?
2
Let z(f) = -2*f**2 - 17*f - 2. Let t(g) = 5*g**2 + 50*g + 7. Let s(x) = -3*t(x) - 8*z(x). Let n be s(14). What is the units digit of (-244)/(-20) - (-1)/n?
2
Let b(z) = 3*z - 1. Let y be b(2). Let s(k) = k + 10. Let a be s(-5). Suppose -8*i + 3*i = y*m - 115, -m - a*i + 43 = 0. What is the tens digit of m?
1
Let o(p) be the first derivative of 5*p**3/3 - 11*p**2/2 + 7*p - 25. What is the hundreds digit of o(7)?
1
Let s be 17 + -3 - (2 + -1). Suppose 10*x + 12 = s*x. What is the units digit of x?
4
Let l be (-224)/(-6)*(-10 + 7). Suppose 2*b - b + 5 = 0. What is the tens digit of l/b - 6/15?
2
What is the hundreds digit of 4 + -234*(-2 - -1)?
2
Suppose -80*y - 573 = -83*y. What is the tens digit of y?
9
Let d(u) = 16*u**2 + 2. Let o be d(-2). Let h be 2/12 - o/(-36). Suppose 0 = 3*m - 4*k + h*k - 72, -2*k = -5*m + 124. What is the units digit of m?
6
What is the thousands digit of (-6 - 1 - 2)/(21/(-6279))?
2
Let n = 179 - 111. Let d = 114 - n. Let a = d + -18. What is the units digit of a?
8
Let r(x) = -x + 10. Let w be r(12). What is the tens digit of w/((3/(-111))/1)?
7
Let i(q) = 5*q**2 - 4*q + 1. Let n be i(-4). Suppose b = 4*c - n, 8*c + 3*b - 117 = 3*c. What is the tens digit of c?
2
Let z(k) = 4*k**2 + 111*k - 160. What is the tens digit of z(-47)?
5
Let r(j) = 146*j + 231. What is the tens digit of r(7)?
5
Suppose 27*s - 12*s = -1605. Let d = 138 + s. What is the units digit of d?
1
Suppose 338 = 3*w - a, 2*w + 2*a - 151 - 61 = 0. What is the units digit of w?
1
Let u(a) = a**3 - 8*a**2 + 3. Let t be u(8). Suppose 0 = 5*b + t - 18. Suppose -i + 1 = 0, | {
"pile_set_name": "DM Mathematics"
} |
ple of o and 7?
56
Let b be -7*(0 + 60/(-14)). Suppose -y + 9 = -b. What is the lowest common multiple of ((-20)/35)/(18/21)*(-12)/1 and y?
312
Suppose 4*k - 5*s + 532 = 2*k, 0 = 3*k - 2*s + 820. What is the common denominator of ((-10)/(-3))/((-224)/k) and -26/7?
28
Let k = -6411 + 6459. What is the smallest common multiple of 40 and k?
240
Let n(a) = 0*a**3 - 8*a - 2*a - 10*a**2 - a**3 + 7*a**2 + 8. What is the least common multiple of n(-5) and 36?
108
Find the common denominator of (-3158)/252 + (17 - 4) and 83/210.
630
Suppose 465 = s + 3*a, -5*a = 3*s - 0*s - 1375. What is the least common multiple of 550 and s?
4950
Let i = -7050 - -7060. Let p = 68 + -38. Calculate the least common multiple of i and p.
30
Let g = -810/107 - -455911/535. Let a = g - 841. Find the common denominator of -59/105 and a.
105
Let j be (-1 + 197515/4)/((-19)/(-76)). Let r = j + -53328157/270. What is the common denominator of -85/2 and r?
270
Let v(n) = -6*n - 4. Let j(c) = -c**3 + 9*c**2 + 3*c - 62. Let g be j(10). Let w = -124 - g. Calculate the smallest common multiple of v(-3) and w.
56
Let a = -148600882/14573 + 10197. Let i = -1180523/1603030 - a. What is the common denominator of i and 111/44?
220
Let w be (-96)/10 - 3/(105/14). Find the common denominator of 9/(-73 - w)*(-1246)/20 and (-2)/(-6) - (-82)/168.
140
Suppose -2 = 7*a - 16. Let b be (a - 24/10)/((-3)/(-465)). Find the common denominator of 6/18 - b/54 and -53/10.
270
Let w be 2 + (-1854754706883395)/1396200 + 2. Let b = w + 10627444239/8. Let s = b - 4/2685. What is the common denominator of -58/3 and s?
39
Let s = 160 + -155. Let m(j) = j**3 - 4*j**2 - 7*j + 12. Calculate the least common multiple of 22 and m(s).
22
Let d be ((-16)/5)/((-3)/75). Suppose -3*i - 71 = -d. Suppose -4*o - 13 = 5*j - 130, 0 = -2*j + 4*o + 30. Calculate the least common multiple of j and i.
21
Let w = -23 - -4. Let d = 111 - w. Suppose 11 = 2*m - 9. Calculate the smallest common multiple of m and d.
130
Let l = 294 - 298. Calculate the smallest common multiple of -27*(-2)/(-4)*-2 and -35*(-14)/18 - l/(-18).
27
Let t(o) = -3*o**2 + 3. Let g be t(-1). Let s(h) = 33*h + 12. Calculate the least common multiple of s(g) and 24.
24
Let n be -1 - ((-128)/24)/((-6)/(-423)). Calculate the common denominator of 34/(-20) - (-1 - -1) and (54/n)/((-28)/(-245)).
50
Suppose -57*o + 15*o = -9408. Calculate the least common multiple of 6 and o.
672
Let f(h) = h**3 + 56*h**2 + 45*h - 494. Suppose -3*l + 74 = -10. What is the lowest common multiple of l and f(-55)?
56
Let g(s) = -32*s + 274. What is the smallest common multiple of g(6) and 1435?
2870
Suppose 30*l - 30*l + 756 = 14*l. What is the smallest common multiple of l and 270?
270
Suppose -15 = -5*y + 15. Let t(m) = m - 8. Let b(s) = 2*s - 15. Let h(o) = 6*b(o) - 13*t(o). Calculate the smallest common multiple of h(-6) and y.
60
Let m = 2532 - 2422. Calculate the least common multiple of m and 4 + -6*(-4)/(-16)*-12.
110
Suppose 158*g - 133*g - 40560 = 39690. What is the lowest common multiple of 2247 and g?
22470
Let g(q) = 2*q**2 - 11*q - 1. Let i be g(6). Suppose 0*d + 49 = 2*l - d, 129 = i*l + 4*d. Let s = -23 + l. What is the smallest common multiple of s and 3?
6
Let o = -988532689518549611/445230 + 2220274216741. Let p = o - -24/8245. Find the common denominator of -91/6 and p.
54
Let i be (12/8)/(2/(-12)). Let n(q) = -41*q - 116. Let d(v) = 8*v + 23. Let s(o) = -11*d(o) - 2*n(o). Calculate the least common multiple of 30 and s(i).
330
Let h be (-4997)/3060 + 30/60. Let g = h + 28/153. Find the common denominator of g and 33/170.
340
Suppose -6*p + 408 = t, -152*p - 1250 = -3*t - 157*p. Calculate the smallest common multiple of 72 and t.
2520
Find the common denominator of 39/2480 and 5/(-100)*(-2338)/21 - 1.
7440
Suppose 10*k - 104 = -14. Let b(h) be the third derivative of h**4/6 - 4*h**3/3 + h**2. What is the lowest common multiple of b(3) and k?
36
Let j = 2679 - 24077/9. Let y = 72870937/28794090 - -2/221493. Let s = 120/13 - y. Calculate the common denominator of j and s.
90
Let k = 33922 + -3392153/100. Calculate the common denominator of 30/11 and k.
1100
Suppose 3*n - r = 208, 5*n - 4*r = 81 + 268. Suppose -n = 9*w - 573. Calculate the least common multiple of 63 and w.
504
Let j be 2/(-13) - (-2240)/364. Suppose 5*z + z - j = 0. Let k = -6 + 14. What is the lowest common multiple of k and z?
8
Let i(g) = 31*g + 9. Let q be i(1). Suppose -32*c - q = -36*c. What is the smallest common multiple of 34 and c?
170
Let z be 24/(-252) + 2514/(-189)*3. What is the common denominator of (-5)/4*((-32)/z + 11) and -85/118?
236
Suppose -25*g + 21*g = -72. Suppose 8 - g = 5*o. Calculate the lowest common multiple of 12 and 6 + -9 - (o - 3).
12
Find the common denominator of (-10292)/616524*(-2)/(-8) and 53/16.
29712
Let n = -51783/4 + 12936. Calculate the common denominator of 49/26 - (-3)/(-6) and n.
52
Suppose -25*s + 28*s + 27 = 0. What is the common denominator of (((-714)/s)/7)/(-3) and 43/9?
9
What is the lowest common multiple of ((-5040)/224)/(1/(-6)) and 1035?
3105
Let z = -1037 + 1513. What is the least common multiple of 340 and z?
2380
Suppose 5*k + 111 = 121. Suppose 3*l + 1 = y + 3*y, -8 = -k*y. What is the smallest common multiple of l and 5?
5
Let r = 291/11290 + -952507/8264280. Find the common denominator of r and -25/6344.
19032
Calculate the common denominator of ((-44)/6)/(-11)*(-110)/60 and -85/252.
252
Let k be 1/(4 + (-76)/20). Suppose -k*i - 2728 = -u, -4*i + 2*u + 2*u = 2176. Calculate the common denominator of 293/i + 6/(-39) and -39/22.
462
Suppose 13 = 4*b + 5. Suppose k - n = 3*n + 7, -n + b = k. Suppose 10 = 2*r - 2*w, -5*w = k*r - 9*w - 12. What is the lowest common multiple of 9 and r?
72
Find the common denominator of ((-405)/2)/(-9)*16/(-160) and 99/20.
20
Let t = -16748 + 18008. What is the least common multiple of 1512 and t?
7560
Let i = 8268 + -8263. Let o(v) = v**3 - 17*v**2 - 11*v - 21. What is the lowest common multiple of i and o(18)?
105
Suppose -4*u = -65*f + 61*f - 9824, 2*u = -4*f + 4924. What is the lowest common multiple of 8 and u?
9832
What is the common denominator of -34 + (-147117)/(-5452) + (0 - 0) + 7 and 95/5546?
11092
Let y(o) = -o**2 - 25*o - 66. Suppose j + 3*x = -44, 2*j + 130 = -3*j + 3*x. Let n be y(j). What is the common denominator of ((-39)/n)/(180/14)*262 and -65/57?
570
Suppose -4247 = -765*m + 1108. Let f(s) = s**3 + 4*s**2 + s + 4. Calculate the lowest common multiple of m and f(4).
952
Calculate the common denominator of -35/24 and (-1)/(-136)*(4 + -9 - -12).
408
Suppose 2*h - 509 = 5*x, 3*h + 115 = x + 872. Find the common denominator of 85/106 and (2/5)/(h/(-90)).
742
Let n be (-56)/70 + 93703/(-240). Let k = n - -1157/3. Find the common denominator of 21/44 and k.
176
Suppose -2*v = -19*v + 17. Let s be (-32)/24*(v + 8). What is the common denominator of -97/30 and 8/(-20)*s/(-15)?
150
Let z = 2/561 + -33139/11220. What is the common denominator of z and (18/76 + 15/(-60))/((-297)/13959)?
380
Let q = -56/11 + 19/4. Suppose -5*y - 1 - 16 = -4*c, -12 = -4*c + 4*y. Calculate the common denominator of -3 + c - (-1107)/144 and q.
176
Let g = 1 + 8. Let u = 35 - 31. Suppose l - 26 = 2*f, -2*f - 10 = -l - u*f. Calculate the least common multiple of g and l.
18
Suppose -10*a - 31024 = -12*a - 4*i, -5*i = -a + 15477. Let l = 1860229/120 - a. Calculate the common denominator of 79/132 and l.
1320
Let d(v) = -61*v - 511. What is the lowest common multiple of d(-11) and 304?
3040
Let z be 8*((-1675)/20)/5. Let l = z + 125. What is the common denominator of (-460)/(-336) + (2 - l/(-6)) and 49/16?
336
Let v be 12/2*(-2)/(-4). Suppose 0 = -3*f + v*s + 201, -77 = -f + 2*s - 5. Let a(c) = 663*c - 39113. Calculate the smallest common multiple of f and a(59).
124
Suppose 0 = -4*y - 3*a + 429, -4*a = 2*y + a - 197. Let n = y - 101. What is the common denominator of n/5 + 327/(-108) and -21/2?
36
Let d = 18994 + -18946. What is the least common multiple of 2880 and d?
2880
Let j be 0/(-3) + -4 + -1. What is the common denominator of ((-10)/(-5))/(3 - (-948)/(-356)) and (j/120)/(4/(-58))?
240
Let q(k) = -k**3 - 6*k**2 + 4*k - 19. Let z be q(-7). Suppose 4*a - 4*t - 4 = -8, 4*a + z*t - 14 = 0. What is the least common mu | {
"pile_set_name": "DM Mathematics"
} |
:58 AM?
145
How many minutes are there between 12:15 PM and 7:11 PM?
416
How many minutes are there between 11:25 PM and 2:16 AM?
171
What is 160 minutes after 7:45 AM?
10:25 AM
What is 472 minutes before 9:36 PM?
1:44 PM
How many minutes are there between 8:26 AM and 1:09 PM?
283
How many minutes are there between 1:05 AM and 1:04 PM?
719
What is 286 minutes after 6:43 PM?
11:29 PM
What is 664 minutes after 12:13 PM?
11:17 PM
What is 401 minutes before 9:17 AM?
2:36 AM
What is 96 minutes before 5:07 AM?
3:31 AM
How many minutes are there between 5:33 AM and 12:15 PM?
402
How many minutes are there between 5:55 AM and 6:48 AM?
53
What is 250 minutes after 11:08 AM?
3:18 PM
What is 54 minutes before 7:25 PM?
6:31 PM
How many minutes are there between 4:29 PM and 9:32 PM?
303
What is 289 minutes before 4:15 AM?
11:26 PM
What is 687 minutes before 5:59 PM?
6:32 AM
How many minutes are there between 12:39 AM and 7:43 AM?
424
What is 141 minutes before 7:03 PM?
4:42 PM
How many minutes are there between 6:02 AM and 3:49 PM?
587
What is 156 minutes before 10:36 PM?
8:00 PM
What is 454 minutes before 7:39 AM?
12:05 AM
What is 254 minutes before 6:09 AM?
1:55 AM
How many minutes are there between 9:33 AM and 4:59 PM?
446
What is 237 minutes after 6:52 AM?
10:49 AM
How many minutes are there between 10:02 PM and 8:54 AM?
652
What is 191 minutes before 5:20 PM?
2:09 PM
What is 367 minutes before 5:16 PM?
11:09 AM
How many minutes are there between 1:08 PM and 12:24 AM?
676
How many minutes are there between 2:36 AM and 5:29 AM?
173
How many minutes are there between 1:56 AM and 11:51 AM?
595
What is 609 minutes before 5:43 AM?
7:34 PM
What is 249 minutes before 8:38 PM?
4:29 PM
What is 399 minutes after 7:04 AM?
1:43 PM
What is 474 minutes after 5:20 AM?
1:14 PM
What is 38 minutes after 6:22 AM?
7:00 AM
How many minutes are there between 4:16 PM and 1:44 AM?
568
What is 303 minutes after 12:09 PM?
5:12 PM
How many minutes are there between 5:14 PM and 12:00 AM?
406
How many minutes are there between 11:38 PM and 1:33 AM?
115
What is 373 minutes before 6:56 PM?
12:43 PM
What is 223 minutes before 11:55 PM?
8:12 PM
What is 482 minutes before 6:14 AM?
10:12 PM
What is 628 minutes after 12:41 PM?
11:09 PM
What is 573 minutes after 6:00 AM?
3:33 PM
What is 693 minutes after 2:59 AM?
2:32 PM
How many minutes are there between 8:03 AM and 1:40 PM?
337
What is 14 minutes after 4:45 PM?
4:59 PM
What is 170 minutes after 3:32 AM?
6:22 AM
What is 627 minutes before 5:24 PM?
6:57 AM
How many minutes are there between 12:16 PM and 2:56 PM?
160
How many minutes are there between 9:02 AM and 8:02 PM?
660
What is 616 minutes before 8:44 AM?
10:28 PM
How many minutes are there between 6:43 PM and 1:27 AM?
404
How many minutes are there between 10:43 PM and 8:54 AM?
611
What is 587 minutes after 11:19 PM?
9:06 AM
What is 585 minutes after 8:43 PM?
6:28 AM
How many minutes are there between 9:25 AM and 3:10 PM?
345
How many minutes are there between 4:32 AM and 3:53 PM?
681
How many minutes are there between 4:14 AM and 4:55 AM?
41
What is 557 minutes before 6:05 PM?
8:48 AM
What is 697 minutes before 5:51 AM?
6:14 PM
How many minutes are there between 7:22 AM and 1:22 PM?
360
How many minutes are there between 7:01 PM and 6:44 AM?
703
How many minutes are there between 6:10 PM and 12:56 AM?
406
What is 171 minutes before 5:12 PM?
2:21 PM
How many minutes are there between 4:38 PM and 12:30 AM?
472
What is 625 minutes before 6:22 AM?
7:57 PM
How many minutes are there between 4:18 AM and 1:30 PM?
552
What is 532 minutes before 10:41 AM?
1:49 AM
How many minutes are there between 2:38 PM and 7:48 PM?
310
How many minutes are there between 3:36 PM and 7:46 PM?
250
How many minutes are there between 11:24 AM and 5:31 PM?
367
How many minutes are there between 7:40 AM and 5:28 PM?
588
How many minutes are there between 11:45 AM and 11:35 PM?
710
What is 260 minutes after 3:38 AM?
7:58 AM
How many minutes are there between 10:41 PM and 3:27 AM?
286
What is 628 minutes before 5:31 AM?
7:03 PM
How many minutes are there between 8:31 AM and 10:02 AM?
91
What is 578 minutes after 7:51 PM?
5:29 AM
How many minutes are there between 8:18 AM and 2:13 PM?
355
What is 170 minutes before 11:25 AM?
8:35 AM
How many minutes are there between 9:25 PM and 6:02 AM?
517
What is 243 minutes before 9:52 AM?
5:49 AM
What is 625 minutes after 4:06 AM?
2:31 PM
How many minutes are there between 7:18 AM and 2:54 PM?
456
What is 298 minutes before 5:30 PM?
12:32 PM
How many minutes are there between 6:41 PM and 4:26 AM?
585
What is 300 minutes before 5:34 PM?
12:34 PM
How many minutes are there between 5:00 PM and 11:40 PM?
400
What is 714 minutes after 4:23 AM?
4:17 PM
What is 160 minutes before 11:04 PM?
8:24 PM
How many minutes are there between 1:56 AM and 7:27 AM?
331
What is 446 minutes after 8:14 AM?
3:40 PM
How many minutes are there between 1:48 AM and 11:45 AM?
597
How many minutes are there between 7:11 AM and 12:16 PM?
305
What is 260 minutes after 11:34 PM?
3:54 AM
What is 42 minutes after 1:00 AM?
1:42 AM
What is 300 minutes before 4:38 PM?
11:38 AM
What is 663 minutes after 3:29 PM?
2:32 AM
How many minutes are there between 1:20 AM and 10:08 AM?
528
What is 25 minutes before 3:14 AM?
2:49 AM
How many minutes are there between 6:35 AM and 12:35 PM?
360
How many minutes are there between 11:59 PM and 10:42 AM?
643
How many minutes are there between 11:24 PM and 2:04 AM?
160
How many minutes are there between 5:01 PM and 4:19 AM?
678
How many minutes are there between 7:15 PM and 9:22 PM?
127
What is 286 minutes before 1:02 AM?
8:16 PM
How many minutes are there between 2:25 PM and 2:19 AM?
714
How many minutes are there between 3:23 AM and 3:07 PM?
704
What is 470 minutes after 11:53 AM?
7:43 PM
What is 82 minutes before 7:22 AM?
6:00 AM
How many minutes are there between 8:43 AM and 6:34 PM?
591
What is 556 minutes after 4:02 AM?
1:18 PM
What is 691 minutes after 2:12 AM?
1:43 PM
What is 62 minutes before 8:43 PM?
7:41 PM
What is 82 minutes after 2:34 AM?
3:56 AM
How many minutes are there between 9:19 AM and 6:43 PM?
564
How many minutes are there between 3:03 PM and 8:25 PM?
322
What is 485 minutes before 5:43 AM?
9:38 PM
How many minutes are there between 8:12 AM and 4:33 PM?
501
What is 428 minutes after 1:30 PM?
8:38 PM
What is 14 minutes before 3:51 PM?
3:37 PM
How many minutes are there between 6:38 AM and 1:50 PM?
432
How many minutes are there between 10:40 PM and 2:02 AM?
202
How many minutes are there between 4:54 AM and 12:46 PM?
472
How many minutes are there between 7:27 PM and 3:38 AM?
491
How many minutes are there between 1:11 PM and 7:39 PM?
388
What is 54 minutes after 1:40 AM?
2:34 AM
What is 244 minutes after 10:43 AM?
2:47 PM
How many minutes are there between 4:28 PM and 8:34 PM?
246
How many minutes are there between 3:00 AM and 11:52 AM?
532
How many minutes are there between 5:17 PM and 4:14 AM?
657
How many minutes are there between 3:20 PM and 1:27 AM?
607
How many minutes are there between 2:43 AM and 2:01 PM?
678
What is 195 minutes before 1:20 AM?
10:05 PM
How many minutes are there between 1:14 AM and 4:45 AM?
211
What is 688 minutes after 9:34 AM?
9:02 PM
How many minutes are there between 4:22 AM and 4:47 AM?
25
How many minutes are there between 9:31 PM and 7:15 AM?
584
How many minutes are there between 6:11 PM and 11:09 PM?
298
How many minutes are there between 10:18 PM and 12:57 AM?
159
What is 560 minutes before 6:54 AM?
9:34 PM
How many minutes are there between 9:25 AM and 5:33 PM?
488
How many minutes are there between 3:47 AM and 10:18 AM?
391
How many minutes are there between 7:19 PM and 9:38 PM?
139
How many minutes are there between 7:48 AM and 5:21 PM?
573
What is 553 minutes after 3:41 AM?
12:54 PM
What is 82 minutes before 12:30 PM?
11:08 AM
What is 373 minutes after 10:02 AM?
4:15 PM
How many minutes are there between 3:59 PM and 7:14 PM?
195
What is 372 minutes after 6:11 AM?
12:23 PM
What is 583 minutes after 1:27 PM?
11:10 PM
How many minutes are there between 3:29 AM and 1:26 PM?
597
How many minutes are there between 6:42 PM and 9:38 PM?
176
How many minutes are there between 10:33 PM and 4:15 AM?
342
How many minutes are t | {
"pile_set_name": "DM Mathematics"
} |
+ 3*p**4 - 2*p**4).
-4*p**4
Expand 5*m**2 - 5*m**2 + 5*m**3 + (4*m**2 + 2*m - 2*m)*(4 - m - 4).
m**3
Expand (1 + 3 + 1)*(11*z - z - 2*z).
40*z
Expand (-2*g**2 - 5*g**2 + 8*g**2)*(-g - g + 0*g) - 2*g**3 - 2*g**3 + 2*g**3 + (0*g**2 - 2*g**2 + 0*g**2)*(-3*g + 7*g - 2*g).
-8*g**3
Expand (-34*u + 10 - 10)*(-2*u**2 - u**2 + u**2).
68*u**3
Expand (-5*c**2 + c**2 + 2*c**2)*(3*c - c - c) + 2*c**3 - 2*c**3 + c**3 - 4*c**3 + 2*c**3 - 4*c**3.
-7*c**3
Expand (4 - 4 - 2)*(-3*y + 6*y - 4*y)*(-2 - 1 + 4) - y + 5*y - 3*y.
3*y
Expand (12 - 7 + 0)*(-2*y**5 + y**5 + 0*y**5).
-5*y**5
Expand 2*x**3 - 2*x**3 - x**5 + (-1 + 2 + 0)*(-2*x**3 - 2*x**5 + 2*x**3) + 4*x**5 - 2 + 0*x**5 - 3*x**5.
-2*x**5 - 2
Expand 5*y**2 - y**2 - y**2 + (0*y + 3*y - 2*y)*(3 + 2*y - 3).
5*y**2
Expand (0*f - 2*f + f)*(-25*f**2 + f**2 - 7*f**2) - 2*f**3 + 4*f**3 - 3*f**3.
30*f**3
Expand (-1 + 2 - 3)*(2*d**4 + 3*d**2 - 3*d**2) - 2 - d**4 + 2 + (-8 + 1 + 1)*(0*d**4 - 2*d**4 - d**4).
13*d**4
Expand -2*q - q + 2*q + (1 - 2 + 2)*(-q + 0*q - 2*q) - 3*q - 2*q + 3*q.
-6*q
Expand (-9*b - 2*b - 41*b)*(-2 + 0 + 4).
-104*b
Expand -2*v**4 + v**4 + 3*v**4 + 4*v - v**4 - 4*v + (-3*v + v + 3*v)*(4*v - 4*v + v**3) + 3*v + 2*v**4 - 3*v - 2*v**4 + 2*v**4 + v**4.
5*v**4
Expand (5 + 3 - 3 - 3)*(-44*z + 18*z - 14*z).
-80*z
Expand 0 - 2 + 0 + 5*o**2 + (2*o + 2*o - 5*o)*(-3*o + 2*o + 2*o).
4*o**2 - 2
Expand -37 + 5*l**3 + 37 - 4*l**3 + l**3 + 2*l**3 - 2*l**2 + l**3 + 2*l**2 + 2 - 2 + l**3 + (-1 - l**2 + 1)*(-l - 2*l + l) + 2*l**3 - 2*l**3 + 2*l**3.
10*l**3
Expand (-2 + 4 - 1)*(2*v + 0*v - 4*v) - 3*v + 2*v + 2*v - 15*v + 102*v - 50*v.
36*v
Expand (11*f**2 + 12*f - 12*f)*(-6*f + 4*f + f).
-11*f**3
Expand (-6*i**2 + 5*i**2 + 3*i**2)*(2 - 2 + 2*i) + (-6*i**2 + 0*i**2 + i**2)*(-4*i + 2*i + 4*i) + 0*i**3 - 2*i**3 + 4*i**3.
-4*i**3
Expand (0*h**2 - 5*h**2 + h**2)*(-1 + 2*h + 1) + (0*h**3 + 2*h**3 + 0*h**3)*(-5 + 3 + 0) - 9*h**3 + 8*h**3 + 2*h**3.
-11*h**3
Expand -3*k - 2*k + 4*k + (2 + 1 + 4)*(-5*k + 3*k - 3*k).
-36*k
Expand (46*f**3 - 20*f**3 - 10*f**3)*(-1 - 2 + 1) + 4*f**3 + f**3 - 4*f**3.
-31*f**3
Expand (m - 3*m + 4*m)*(5*m**4 + 0*m + 0*m + (0 - 2*m**2 + 0)*(6*m**2 - m**2 - 3*m**2)).
2*m**5
Expand 11*i**2 - 23*i**2 - 17*i**2 + (i + 2*i - 6*i)*(-i + 0*i + 0*i).
-26*i**2
Expand (3 - 2 - 3 + (-2 + 5 - 1)*(-4 + 1 + 2) + 5 - 2 - 4)*(15*c - 4*c - 4*c) - c + 0*c + 3*c.
-33*c
Expand (4 - 6 + 5)*(0*p**4 - 2*p**4 + p**4).
-3*p**4
Expand (-9*v**3 - 4 - 11*v**3 - 2*v**3)*(0*v**2 + 4*v**2 - 2*v**2).
-44*v**5 - 8*v**2
Expand (1 + 0 + 1)*(-2*t + 7 - 8 - t).
-6*t - 2
Expand 0*j - 4*j + 2*j + (5 - 2 - 1)*(2*j - 2 + 2) + 9 + 7*j - 9 + 2*j + j - 4*j + (-j + j - 2*j)*(-4 + 3 + 0) + 1 + j - 1.
11*j
Expand i**3 - i**4 - i**3 + (6 - 1 - 3)*(3*i + 0*i - i)*(5*i + 3*i**3 - 5*i).
11*i**4
Expand (-2*g**2 + 4*g**2 - 3*g**2 + (-2*g + g + 3*g)*(6*g - 4*g + 2*g))*(3*g**2 - 4*g**2 + 2*g**2).
7*g**4
Expand 5 - 5 + 2*t**2 - 5*t**2 + 3*t**2 + 3*t**2 + (4*t + 0*t - 2*t)*(-t - 2*t + 2*t) + (4*t + 4*t - 4*t)*(-3*t + 4*t - 2*t + (-5 - 1 + 1)*(-t + 3 - 3)).
17*t**2
Expand -3*g**5 - 2*g**5 + 2*g**5 + (-4 + 4 + 2*g + (1 + 3 - 5)*(-g + 3*g - 4*g))*(-g**4 + 4*g**4 - 4*g**4).
-7*g**5
Expand -2*r**2 + 10*r**2 + 0*r**2 + (-3*r - 2*r + 3*r)*(1 - 2*r - 1).
12*r**2
Expand (-3*a**3 + a**3 + 5*a**3)*(2 + 2 - 5)*(1 - 1 - 2) - 6*a**3 + a**3 + 6*a**3.
7*a**3
Expand (-2*o + 2*o + 2*o)*(-2*o**2 + 0*o + 0*o) - o**3 + o**3 + 2*o**3 - 144*o - 146*o + 1 + 292*o - 5*o**3 - 5*o**2.
-7*o**3 - 5*o**2 + 2*o + 1
Expand (-3*j + 3*j - 3*j**2)*(-11*j**2 + 9*j - 9*j) - j**4 + 2*j**4 + 0*j**4.
34*j**4
Expand (f - 5 + 5)*(-18 - 17 + 36 + 12*f).
12*f**2 + f
Expand n**4 - 4*n**3 + 4*n**3 + (2*n**2 + 3*n**3 - 2*n**2)*(n + n + 0*n).
7*n**4
Expand (4 + 1 - 4)*(-2 + 2 - 2*h) - 2 + 5 - 2*h + h.
-3*h + 3
Expand (-9*v + 9*v - v)*(v - v + v**2).
-v**3
Expand (0 - 1 - 1)*(3*b + b - 6*b) - b - 1 + 1 + 4*b - 2*b - 3*b + (-3*b - 5*b + 5*b)*(0 + 3 - 4) - 1 + 3*b + 1.
8*b
Expand 2 - 2 - 2*x**3 + x**3 - 4*x**3 + 2*x**3 + (-x**2 + x**2 + x**3)*(1 - 1 + 2) + (x - x + x)*(3*x**2 - x**2 - 3*x**2) - x**3 - 1 + 1.
-3*x**3
Expand (3*r**2 + 3*r**2 - 7*r**2)*(-6*r + 7*r + 6*r).
-7*r**3
Expand -5*f**4 + f**4 + 3*f**4 + (f**3 + 0*f**3 - 3*f**3)*(-2*f - 3*f + 3*f) + 1 - f**4 - 1 + (2*f - 4*f + f)*(-2 + 1 + 4)*(-3*f**3 - 3*f**2 + 3*f**2).
11*f**4
Expand 1 + 5 - r - 8 - 5*r + 2*r + r + (0 + 4 - 5)*(r + 0 + 0) + 2*r - 4*r + r + 3*r + 0*r - 2*r.
-4*r - 2
Expand (10 - 11 + 6)*(-4*n + 3*n - n)*(-n**2 + n**2 - 2*n**4).
20*n**5
Expand (-j + 2*j + 0*j + (-3 + 0 + 5)*(0*j - 4*j + 2*j) + 3*j + 0*j - 4*j + 3*j + j - 2*j - j + 0*j - 3*j - 3*j + 5*j - 3*j)*(-5*j**3 + 2*j**4 - 2*j**4 + j**4).
-7*j**5 + 35*j**4
Expand (-k**2 - k**2 + 3*k**2)*(-k + 4*k + 0*k)*(-2 + 2 + 2).
6*k**3
Expand (1 + 1 - 6 - b)*(78 - 5 - 12).
-61*b - 244
Expand (1 - 4 + 0 + 3 + 2 - 3 + (-2 + 5 - 2)*(-2 + 0 + 0) + 5 + 2 - 5 - 3 - 2 + 3)*(-c - 2*c + 2*c).
3*c
Expand (-z + z + 4*z**2)*(1 + 0 + 0)*(-1 + 0 + 2).
4*z**2
Expand (2*i**2 - 5*i**2 + 2*i**2)*(2*i - 2*i + 2*i) - 2*i**3 + 3*i**3 - 2*i**3 + i**2 - i**3 - i**2 + 2 + i + 5 - 5 - 2*i**3.
-6*i**3 + i + 2
Expand (3 - 2 - 2)*(0*o + 2*o + 2*o).
-4*o
Expand (2*s - 4*s - s)*((-1 + 3 + 0)*(-2 + 3*s + 2) + 6*s - s - 3*s) - 2*s**2 - 2*s**2 + 2*s**2 - s**2 - 2*s**2 + 2*s**2.
-27*s**2
Expand (-h**3 + 3 - 3)*(-h + 2*h + 2*h)*(-1 + 6 + 0).
-15*h**4
Expand (-23 + 23 - 2*c)*(5*c + 3*c - 3*c) - 4*c**2 + 0*c**2 + 5*c**2.
-9*c**2
Expand (0*d - 2*d + 3*d)*(-d - 3*d + 2*d)*(16 - d - 16).
2*d**3
Expand (13 - 43 - 19)*(-6 + 2 + 3)*(-1 + 1 - 2*i).
-98*i
Expand (-3*w**4 + w**4 + 3*w**4)*(w + 0*w + 0*w) + w**3 - 6*w**5 + 8*w**5 + 12*w**5.
15*w**5 + w**3
Expand (-9 - 4 + 5)*(-4 + 3 + 3)*((-n**2 + 2*n**2 - 3*n**2)*(-2 + 1 - 1) + 5 - 5 - 2*n**2).
-32*n**2
Expand 2*v - 2*v - v**3 + (-3*v - v + 5*v)*(4 - 4 - 2*v**2) - v**3 + 0*v**3 + 0*v**3 - 12*v**3 - 37*v**3 + 13*v**3.
-40*v**3
Expand (-44*g + 4*g - g)*(-1 + 4 - 2).
-41*g
Expand (4 - 1 - 5)*(-2*c + c + 3*c)*(-7*c - 3*c**2 + 3*c**4 + 7*c).
-12*c**5 + 12*c**3
Expand (2*u - 3*u + 0*u)*(9*u - 3*u**2 - 9*u)*(u + 3 + 1 - 3).
3*u**4 + 3*u**3
Expand (-o + o + 2*o - 2 - 2*o + 2 + (0 + 0 - o)*(1 + 0 + 1) + 4 - o - 4 + 0*o - 4*o + 2*o)*(3*o**2 - 3*o**2 - o**2).
5*o**3
Expand (-8 + 2 - 7)*(-5*a + 4*a + 2*a).
-13*a
Expand 2*l**4 + 2*l**4 - 3*l**4 + (2*l**3 - 1 + 1 + 2*l**3 + 0 + 0 + (0*l + 0*l - 2*l**3)*(0 - 2 + 0))*(4 + 3*l - 4).
25*l**4
Expand (2*a + 0*a - a)*(-2917 + 2917 + 67*a).
67*a**2
Expand (-4*c + c + 4*c)*(5 + 1 - 4)*((0*c - 2*c + 0*c)*(3 - 1 + 0) - 2 - 5*c + 2).
-18*c**2
Expand (-19*a**2 - 17*a + 6*a + 13*a)*(-3*a**2 + 2*a**2 - 2*a**2)*(-a - 3 + 3).
-57*a**5 + 6*a**4
Expand (4*u - 5*u + 3*u)*(-8*u + 19*u + 9*u).
40*u**2
Expand (-1 + 0 + 0)*(-x**3 + 0*x**3 + 2*x**3 + (-6 + 6 - x**2)*(2*x + x - x)).
x**3
Expand (3 + 1 - 3)*(-2*j + 3*j + j)*(9*j**2 - 47*j**2 + 19*j**2) + 4*j**3 + j**3 - 3*j**3.
-36*j**3
Expand 4*r**2 - 2*r**2 - r**2 + (5 - 2*r - 5)*(-3*r - r + 3*r) - 2*r**2 + r**2 + 2*r**2.
4*r**2
Expand (-65*b - 4595 + 4595)*(2 - 2 + b**2)*(b - 4*b + b) - b**3 + b**3 - b**4.
129*b**4
Expand 4*b**2 + 3*b + b**4 - 3*b + (2*b - b + b)*(b**3 - 3*b**3 - b**3).
-5*b**4 + 4*b**2
Expand (-2*p**2 + p**2 + 0*p**2)*(2*p + 2*p**3 - 2*p) + (4*p - p**3 - 4*p)*(-p**2 - p**2 + 0*p**2) + p**5 + 2*p**3 - 2*p**3 - 2*p**5 + 3*p**5 - 3*p**5.
-p**5
Expand (-2*o + 2*o - 2*o)*(-5*o + o**3 + 5*o) - 21*o**4 + 152*o**3 - 152*o**3.
-23*o**4
Expand (0 + 0 - 2*l)*(-2*l**2 + 3*l**2 + l**2) + 20*l**3 + 75 - 75.
16*l**3
Expand (2 + q - 2)*(-2*q + 0*q - 2*q) + 6*q**2 - 3*q**2 - 2*q**2 + (-4*q + 4*q - 2*q)*(-q - 1 + 1).
-q**2
Expand (-5*y**2 + y**2 + 0*y**2)*(-2*y**2 + 0*y + 0*y).
8*y**4
Expand 1 + 2*d - 1 + (-4*d + d + 4*d)*(-1 + 1 - 4) + d + 1 - 1 - d + d + 2*d + (0 - 2 + 0)*(0 - 2*d + 0) + 0*d - 4*d + 2*d - 3*d + 0*d + 2*d - 3 + 2*d + 3.
4*d
Expand (-2 + y + 2)*(-4*y**2 + 4*y**2 + y**2) + (-2*y**2 + y**2 + 2*y**2)*(y + 3 - 3).
2*y**3
Expand (-s + s - 2*s**4 + 0*s**4 + 2*s**4 - 4*s**4 + (-1 + 1 - s**4)*(12 - 2 - 4))*(0*s + 0*s + s).
-10*s**5
Expand (0*h**3 + 0*h**3 + 2*h**4)*(15 - 8 + 2) + 3*h**2 - h**4 - 3*h**2 + (h**3 + 0*h**3 + 0*h**3)*(1 - 1 + 2*h).
19*h**4
Expand (3*v - 6*v + 0*v)*(v**2 + 5*v - 3*v**2 - 2*v).
6*v**3 - 9*v**2
Expand (2*q**2 - 5*q**2 + q**2)*(q - 2*q + 0*q)*(4*q - q - q).
4*q**4
Expand 28*i**5 - 83 | {
"pile_set_name": "DM Mathematics"
} |
culate 14373700732 + 0.7509.
14373700732.7509
What is 27.082 - -2916215977.4?
2916216004.482
What is 1591144969 plus -297.17?
1591144671.83
What is -2 + 0.0597196159766?
-1.9402803840234
Work out -163939 - -413.335845.
-163525.664155
-1480315216 - 4949
-1480320165
What is -0.1 less than 11503.1211955?
11503.2211955
-0.5 + 76847.0036678
76846.5036678
Total of 60781270526927 and -6.
60781270526921
Work out 271.649 + -25586.4.
-25314.751
Work out -870000.6727 - 85.
-870085.6727
Total of -0.169552 and 385488.
385487.830448
Calculate 43509.986 - 205686.
-162176.014
Add 18470368719579 and -3.
18470368719576
-371433363514 - -0.2
-371433363513.8
Put together -190736 and 216090.88.
25354.88
What is 132.53 + -61353034?
-61352901.47
What is -10184234 - -1043228.9?
-9141005.1
What is 0.3 take away 17.03333661845?
-16.73333661845
What is the distance between -5411.2763 and 5860?
11271.2763
What is the difference between 29043.954 and -7624554?
7653597.954
Subtract -597.87 from 0.135009.
598.005009
Put together -0.2 and -54760727778.
-54760727778.2
What is -0.5 plus -86041741168?
-86041741168.5
-98 - 41517319814
-41517319912
Put together 1656953648.44 and -56.
1656953592.44
-32720031.6 - 367
-32720398.6
Total of -1.1468635 and -3346301.
-3346302.1468635
Calculate -3.5248 - -100.1349.
96.6101
What is -25.27016 less than -11805715?
-11805689.72984
46818228065 - -467
46818228532
What is 2334 less than -744.41838?
-3078.41838
-16900590575+0.01
-16900590574.99
Subtract 4 from 3566280.3281.
3566276.3281
Work out -361 - 123923.293141.
-124284.293141
Add together 1824.958456082 and 0.3.
1825.258456082
Add together -53753297 and -23847.2.
-53777144.2
Total of 459008.535 and 26653.
485661.535
What is the distance between 465080857 and 26.7?
465080830.3
Add together 1139.053399611 and -0.3.
1138.753399611
What is -48 + 8400.36449112?
8352.36449112
What is the difference between 4 and -622308511131?
622308511135
Add together -2174 and 16.218213.
-2157.781787
What is 169995965770 less than -0.4?
-169995965770.4
What is -3319992213031 plus 0.052?
-3319992213030.948
What is -55.391 + -70478093.8?
-70478149.191
-21219784311634 + 0
-21219784311634
Calculate 16361.5321289 + -6.
16355.5321289
What is -0.18 plus 3167771298078?
3167771298077.82
What is 9096565010511 - -0.3?
9096565010511.3
What is 688266377987 + -2.7?
688266377984.3
Calculate -694164.4981 - -2.1.
-694162.3981
What is 7.9544 plus -1517433355?
-1517433347.0456
-0.4 + -153941880017
-153941880017.4
What is -2.57144767 - 2382?
-2384.57144767
What is 0.312 minus 6.7966884342?
-6.4846884342
What is the distance between -971295 and 2925164?
3896459
Calculate -42331826 + -27.3.
-42331853.3
-1.79829988 + 252086
252084.20170012
Total of 8509878027 and -12.281.
8509878014.719
What is the difference between 2288792203 and -1864?
2288794067
What is 2 take away 0.533290068093?
1.466709931907
Sum 81474654.49 and -20.
81474634.49
What is -35.963 plus -4275781167?
-4275781202.963
What is -71 minus 200392702470?
-200392702541
Calculate 0.02109783243 + 5.9.
5.92109783243
What is -187454 - 0.639268?
-187454.639268
What is -0.7731837286394 - -0.6?
-0.1731837286394
Total of -0.34595 and -4574.51.
-4574.85595
Add together -17556.744 and -16.5946.
-17573.3386
Put together 185881536.26 and -105.1.
185881431.16
What is -751819.7072 - -1.4871?
-751818.2201
What is 19916 minus -14627889?
14647805
Add 6.44 and -201666747.
-201666740.56
Work out 16673567814 - 0.016.
16673567813.984
What is 20 less than -20.11269147?
-40.11269147
What is -67.48299 - 151739?
-151806.48299
Calculate 821 - 1692920136.
-1692919315
Sum 8218.46 and -2234734.
-2226515.54
-7604629201+-21
-7604629222
What is 0.01 plus -454098615463?
-454098615462.99
Sum 260376900166 and -29.
260376900137
What is 1 less than -0.08140204673248?
-1.08140204673248
Add together 28.0531 and 0.370973.
28.424073
Add together 349233128445 and -16.
349233128429
Calculate -1.9372 + 187393052.
187393050.0628
What is 424532.01 take away 1477446?
-1052913.99
-32.8216341 - -28375
28342.1783659
What is 443505334141 + 0?
443505334141
What is -0.04 + 5534.275789?
5534.235789
What is the distance between -0.3 and -1.5510127056714?
1.2510127056714
What is -4937.8 take away 12928715?
-12933652.8
Calculate -1.5 + -411536189712.
-411536189713.5
-406621912 - -54
-406621858
Total of 11554278445 and 124.
11554278569
Calculate -0.2 + -228915329343305.
-228915329343305.2
Add together 355844182865 and -2.8.
355844182862.2
Calculate -173425315703 - 4583.
-173425320286
What is -83093897923 take away 6?
-83093897929
What is 531382920953 + 0.4?
531382920953.4
Total of -36689.924 and -3501.6.
-40191.524
-52314 + 4252196
4199882
What is the difference between 644178667 and -3845.5?
644182512.5
Work out -16 + -62759153501.
-62759153517
Work out -879589 - 339884.8.
-1219473.8
What is -1230907253 take away 1.98?
-1230907254.98
What is 1782.02371512 minus -0.1?
1782.12371512
Work out 65 - 152935890413.3.
-152935890348.3
What is -41383309574 take away 0.8?
-41383309574.8
Total of 17.27 and -85309913.
-85309895.73
Add -37247713550 and -0.3.
-37247713550.3
What is 1.9 + 4589956453858?
4589956453859.9
What is the difference between 11444973024.6 and -0.038?
11444973024.638
What is -2750.8 - 3436970?
-3439720.8
What is 1464.3263582 - -142?
1606.3263582
What is 0.34 take away 274.70636168?
-274.36636168
What is the difference between -1 and -11362880066.7?
11362880065.7
Total of -351460663 and 260.
-351460403
-4103 + -22544431
-22548534
Work out -0.01 + -287777366.92.
-287777366.93
-60+337382207469
337382207409
What is the distance between -148277155628886 and -3?
148277155628883
2 + 968923316.19
968923318.19
3+4441.577259992
4444.577259992
What is 21344930800440 + 0.08?
21344930800440.08
Add -1957035 and 4799.8.
-1952235.2
Add -0.000419 and -0.621736554.
-0.622155554
What is -2660929469 + -0.08?
-2660929469.08
What is -3791146466963 minus -1?
-3791146466962
Total of -125580.452 and 2817.63.
-122762.822
Total of 4046791629.53 and 46.
4046791675.53
Add together 2.59 and -35473856231.
-35473856228.41
Work out -0.1160791 - 23148710.
-23148710.1160791
Total of 72.1180924 and -23.3.
48.8180924
What is -1757383388540171 minus -0.5?
-1757383388540170.5
Total of 7721452 and 1.1062483.
7721453.1062483
Calculate -49914183235.337 - 2.
-49914183237.337
0.776474703+-4165
-4164.223525297
What is the distance between -3 and -29806812683205?
29806812683202
Total of -0.887386 and 353506.
353505.112614
What is -873348 + 478259?
-395089
1.6 + 71687471055
71687471056.6
What is the distance between 0.59166 and -181568845?
181568845.59166
3 - 0.149355954191
2.850644045809
What is the difference between 0.2 and -46.21215423?
46.41215423
What is the difference between -7530752 and -23009.56?
7507742.44
What is 2075210946 take away 0.052866?
2075210945.947134
What is the difference between -16105 and -27481547?
27465442
What is 37075891 minus -0.0334?
37075891.0334
What is -63 minus 0.1481429572772?
-63.1481429572772
What is -9796299895 + 2.23?
-9796299892.77
7823932026 + -0.3
7823932025.7
Calculate 4 - -36898923921.
36898923925
Calculate -2709 + 95606657.
95603948
Work out -20177 + 0.6180654.
-20176.3819346
-139859.1+-75766469
-75906328.1
What is the difference between -15462567389 and -1.15?
15462567387.85
Subtract -3.55 from 6009.947.
6013.497
Add 24.6978605 and -3.872.
20.8258605
4698 - 49941.452
-45243.452
What is -25166635.41 plus 9145?
-25157490.41
-1066386091 - 338
-1066386429
What is 3159 plus 483683998?
483687157
20+2.301718433
22.301718433
What is the distance between -11596 and -29946655?
29935059
What is 1133.7755 minus 1892?
-758.2245
What is 449096169146 less than -0.3?
-449096169146.3
-5.2457+-343.32137
-348.56707
Work out -41481610 - -0.53076.
-41481609.46924
Calculate 3838983025855 - -0.06.
3838983025855.06
Calculate 0.182 + -46167704513.
-46167704512.818
What is the distance between -49377507124068 and 0.09?
49377507124068.09
Sum -825155.9 and 5.5893.
-825150.3107
Work out -382354156909 - -22.
-382354156887
Add together 57154 and -9442558.
-9385404
What is -166.22 - 9970749?
-9970915.22
Total of -8749787 and 94016.
-8655771
Work out 1820.7 + -39755071.
-39753250.3
Add 279966836120982 and 0.4.
279966836120982.4
What is 259 minus 1 | {
"pile_set_name": "DM Mathematics"
} |
n = 654 - 358. Find the third derivative of 10*i**5 + 3*i**2 + i**2 - 296 + n wrt i.
600*i**2
Let i(a) be the first derivative of 0*a + 31/5*a**5 - 34 + 0*a**4 - 10*a**2 + 0*a**3. What is the second derivative of i(f) wrt f?
372*f**2
Let d(i) be the first derivative of 43*i**4/12 - 25*i**2/2 - 49*i - 31. Let j(m) be the first derivative of d(m). Differentiate j(u) with respect to u.
86*u
What is the third derivative of 55*p**2 - 127*p**3 + 59*p**2 + 0*p + 174 + 0*p - 113*p**2 wrt p?
-762
Let l(d) be the first derivative of -d**4/4 + 17*d**3 - 42*d + 70. What is the first derivative of l(w) wrt w?
-3*w**2 + 102*w
Let m(p) = 13*p**3 + 5*p**2 - 6*p - 4. Let b be m(4). Suppose -44 = 6*a - b. What is the second derivative of 8*c + a*c**4 - 140*c**4 - 9*c**5 wrt c?
-180*c**3
Let b(y) = -y**2 + 2*y. Let g(s) = -201*s**3 - 176*s**2 + 2*s. Let x(j) = -b(j) + g(j). What is the third derivative of x(p) wrt p?
-1206
Let n(f) be the first derivative of 56*f**5/5 - f**4/4 - f**3 + 7*f**2/2 - 168. Find the third derivative of n(h) wrt h.
1344*h - 6
Let s = -4 + 21. Find the third derivative of -8 + 13 - 5 - 6*r**3 + s*r**2 wrt r.
-36
Differentiate 11*z**4 - 13*z**4 - 7*z**4 + 233 - 25*z**4 + 328 - 3*z**2 with respect to z.
-136*z**3 - 6*z
Let s(g) be the first derivative of 4*g**7/7 + 4*g**5/5 - 22*g**3/3 - g**2/2 - 130. Find the third derivative of s(p) wrt p.
480*p**3 + 96*p
What is the second derivative of -33*w**3 + w**3 - 12 - 73*w + 25 - 13 - 4*w**2 wrt w?
-192*w - 8
Suppose y - 7 = 19. Find the third derivative of -35*u**2 + y*u**2 + 21*u**2 + 20*u**5 wrt u.
1200*u**2
Let s(f) be the third derivative of 17*f**6/15 - 3*f**3 - f**2 + 1. Find the first derivative of s(a) wrt a.
408*a**2
Let r be (4/3 + -1)*9*1. Find the second derivative of -26*g**2 - 19*g**2 - 2*g + r - g wrt g.
-90
Let h = 33 + -29. Suppose h*y = 4 + 4. Find the third derivative of 2*k**y - 304*k + 304*k - 3*k**4 wrt k.
-72*k
Let d(f) be the second derivative of -11*f**6/15 + 3*f**5/20 + 61*f**2 - 46*f + 2. Differentiate d(s) with respect to s.
-88*s**3 + 9*s**2
Let p be (1 - 5)/(-1 + -1). Differentiate 3*m**2 + 20*m**4 + 18 - 4*m**2 + m**p with respect to m.
80*m**3
Differentiate -405 - 39*r**3 + 462 - 53*r**3 wrt r.
-276*r**2
Let c(l) be the second derivative of 7*l**6/360 - 17*l**5/120 - 13*l**4/6 + 4*l. Let h(q) be the third derivative of c(q). Differentiate h(m) wrt m.
14
Let k(q) be the first derivative of 20 + 14/3*q**3 + 0*q**2 - 11*q. Find the first derivative of k(b) wrt b.
28*b
Let w(y) be the first derivative of -3*y**6/40 - y**5/15 + 3*y**2/2 + 11. Let b(n) be the second derivative of w(n). Find the third derivative of b(p) wrt p.
-54
Let k(s) be the second derivative of s**6/45 + s**5/15 - s**4/3 - 54*s. Let q(c) be the third derivative of k(c). What is the derivative of q(n) wrt n?
16
Find the first derivative of -4*n**2 - 2*n**3 - 163 + 293 - 331 wrt n.
-6*n**2 - 8*n
Let h(m) = m**3 + 10*m**2 + 9*m + 12. Let f be h(-9). Let g = 13 - f. What is the second derivative of -3 + 2 - 3*r**4 - 3*r + g wrt r?
-36*r**2
Let f(d) = 177*d**3 - 263*d**2 - 18*d + 9. Let h(w) = -44*w**3 + 66*w**2 + 4*w - 2. Let c(p) = 4*f(p) + 18*h(p). Find the third derivative of c(j) wrt j.
-504
Let s(x) = -x**4 + x**3 - x + 1. Let v(d) = 15*d**4 - 2*d**3 - 91*d - 5. Let k(r) = -5*s(r) - v(r). What is the second derivative of k(h) wrt h?
-120*h**2 - 18*h
Let r(y) be the second derivative of -7*y**5/10 + y**4/2 - 50*y**3/3 - 15*y + 3. What is the second derivative of r(t) wrt t?
-84*t + 12
Let j(f) be the first derivative of 9 + 0*f**2 - 2*f - 15/4*f**4 + 0*f**3. Differentiate j(v) wrt v.
-45*v**2
Let d(k) be the first derivative of 33 - 31/6*k**6 + 0*k + 0*k**4 + 2/3*k**3 + 0*k**5 - 7/2*k**2. Find the third derivative of d(a) wrt a.
-1860*a**2
What is the derivative of -107*g**3 - 5*g**4 + 4*g**4 + 3 - 54*g**3 - 1 + 1 wrt g?
-4*g**3 - 483*g**2
Let a(o) = 3247*o**3 - 228*o**2 + 13*o + 24. Let g(z) = 541*z**3 - 38*z**2 + 2*z + 4. Let v(b) = 2*a(b) - 13*g(b). Find the third derivative of v(d) wrt d.
-3234
Let d(x) = -300*x**5 - 13*x**2 + 310*x - 13. Let n(i) = 75*i**5 + 3*i**2 - 78*i + 3. Let v(b) = 6*d(b) + 26*n(b). What is the second derivative of v(m) wrt m?
3000*m**3
Let g(y) = -232*y**3 + 13*y**2 - 26*y - 70. Let x(q) = -116*q**3 + 6*q**2 - 12*q - 35. Let a(n) = -6*g(n) + 13*x(n). Differentiate a(s) with respect to s.
-348*s**2
Suppose -2*c - u = -4, u + 3 - 16 = -5*c. Find the first derivative of 3*n - 12*n**c + n - 4*n - 27 wrt n.
-36*n**2
Let w(s) = 13*s**5 - 6*s - 7. Let x(h) = -7*h**5 + 3*h + 3. Suppose 60 = k + 74. Let n(l) = k*x(l) - 6*w(l). Find the second derivative of n(q) wrt q.
400*q**3
Let n(v) be the second derivative of -15*v**7/14 + v**5/10 - 7*v**4/12 - v**3/2 - 38*v. What is the third derivative of n(y) wrt y?
-2700*y**2 + 12
Suppose 0*m - 3*m + 87 = 0. Let c = m - 22. What is the second derivative of -28*z**2 + 13*z**2 - 11*z**3 + 15*z**2 - c*z wrt z?
-66*z
Let k = 1787 + -1784. Let b(u) be the third derivative of 1/6*u**3 - 13/60*u**5 + 0*u + k*u**2 + 0*u**4 + 0. Find the first derivative of b(m) wrt m.
-26*m
Let h(o) be the third derivative of -o**8/140 + o**5/6 + 4*o**3 + 19*o**2. Let x(b) be the first derivative of h(b). Find the second derivative of x(j) wrt j.
-144*j**2
Let t(v) = 661*v**3 - 751*v**2 + 13*v + 13. Let p(s) = -330*s**3 + 376*s**2 - 6*s - 6. Let i(c) = 13*p(c) + 6*t(c). Find the third derivative of i(l) wrt l.
-1944
Let f(b) be the second derivative of b**4/4 + 41*b**3/6 - 59*b**2 + 134*b. Differentiate f(l) with respect to l.
6*l + 41
Let j(r) = -97*r**4 + 5*r**3 + 13*r**2 + 5*r - 6. Let p(h) = -h**4 - h**3 - h + 1. Let q(k) = j(k) + 5*p(k). Find the third derivative of q(o) wrt o.
-2448*o
Let r(l) = 2*l**2 - 4*l**4 - 18*l**4 + 3 - l**2 - 5*l**2. Let i(t) = 23*t**4 + 5*t**2 - 2. Let u(k) = -3*i(k) - 2*r(k). Find the third derivative of u(y) wrt y.
-600*y
Let r(b) = 58*b**2 + 42*b - 7. Let q(k) = -116*k**2 - 85*k + 15. Let v(a) = -6*q(a) - 13*r(a). Find the second derivative of v(h) wrt h.
-116
Suppose 2*p - w + 5*w - 20 = 0, 29 = 4*p - 3*w. Find the third derivative of p*y**5 + 7*y - 14*y + 2*y**2 + 7*y wrt y.
480*y**2
Let k be (-6)/(-5)*50/3. Let n be k/30*(-3)/(-2). Differentiate v - 4 - 1 + n + 0*v wrt v.
1
Let j(l) = -15*l**6 - 5*l**4 - 21*l**2 - 3. Let o(k) = 10*k**6 + 3*k**4 + 14*k**2 + 2. Let r(m) = 5*j(m) + 8*o(m). Find the third derivative of r(i) wrt i.
600*i**3 - 24*i
Let l(g) = -154*g**3 + 5*g**2 + 26. Let j(a) = 156*a**3 - 5*a**2 - 28. Let q(c) = 6*j(c) + 7*l(c). Find the third derivative of q(s) wrt s.
-852
Let y(u) = 2*u**3 + 2*u**2 - 3*u + 2. Let v = 31 + -30. Let s be y(v). Find the first derivative of 2*z**3 - 4 - z**s + 2*z**3 + 2*z**3 wrt z.
15*z**2
Let y(l) = l**2 + 4*l + 2. Let d be y(-6). Find the third derivative of -d*b**2 + 11*b**5 - 8*b**5 - 5*b**5 wrt b.
-120*b**2
Let k be 36/48 - 10/(-8). What is the second derivative of 14*j**3 + 809 - k*j - 809 wrt j?
84*j
Let g(u) be the third derivative of 19*u**6/60 + u**5/10 + 2*u**3/3 + 88*u**2. Find the third derivative of g(m) wrt m.
228
Find the first derivative of -14 - 18 + 4 - 69*h - 28 + 5 wrt h.
-69
What is the second derivative of 4*n**3 - 47*n + 26*n + 2 + 23*n**2 - n**4 - 23*n**2 wrt n?
-12*n**2 + 24*n
What is the second derivative of 36*c - 23*c**2 - 41*c - 32*c**2 wrt c?
-110
Let w(g) = -10*g - 9. Let m be w(-5). What is the derivative of m - 3 + 6*c**4 + 8*c**4 wrt c?
56*c**3
Let o be 23 - 3 - (1 + 3). Find the third derivative of -2*m**2 + 23*m**3 - o*m**3 + 17*m**2 wrt m.
42
Let u(k) be the first derivative of -k**6/3 - k**3/3 + 29*k**2/2 - 56. Find the third derivative of u(d) wrt d.
-120*d**2
Suppose 0 = 4*w - 0 - 20. Suppose i - w*i = -20. Differentiate -3*b**3 + b**3 + i - 3*b**3 with respect to b.
-15*b**2
Let z(s) = -22*s**3 + 2*s**2 + s - 5. Let v(f) = 6*f - 17*f - f**2 + 11*f. Let n(t) = 4*v(t) + 2*z(t). What is the second derivative of n(x) wrt x?
-264*x
Suppose m + 5 - 4 = 0. Let z(a) = -a**2 + a + 1. Let r(f) = 5*f**2 - 4*f. Let t be (-1 - -4) + (-28)/4. Let q(j) = m*r(j) + t*z(j). Differentiate q(u) wrt u.
-2*u
What is the derivative of -10*d**3 + 20*d**2 + 25*d**3 + 3 + 1 - 14*d**3 wrt d?
3*d**2 + 40*d
Suppose 3*k + 2*k - 3 = 3*b, -b = k + 1. What is the s | {
"pile_set_name": "DM Mathematics"
} |
l**5 + (-l - l + l)*(-2*l**4 + 3*l**3 - 3*l**3).
11*l**5 + 6*l**4 + 6*l**3
Expand (3*s**2 - 58 + 56 - 8*s**2)*(1 - 1 - s) - s**3 + 2*s - 2*s + (-s**3 + 3*s - 3*s)*(-4 + 4 + 1).
3*s**3 + 2*s
Expand (66 - 66 + 195*w)*(1 + 2 + 4*w - 1).
780*w**2 + 390*w
Expand (4*u**3 + 2*u**4 - 4*u**3 + (-3*u - u + 2*u)*(-u + u - 2*u**3) + 3*u**4 + 4*u - 4*u)*(0 + 0 + 6*u).
54*u**5
Expand (-6*c**2 + c - c)*(c + 6 + 0 - 3*c).
12*c**3 - 36*c**2
Expand (0*g**2 + 0*g**2 - 2*g**3)*(-3*g**2 + 0*g**2 - g**2) + 16*g**5 + 2*g**5 + 4*g**5.
30*g**5
Expand (3 + 2 - 2)*(3525*u - 3525*u + 247*u**5).
741*u**5
Expand -o**4 + 0*o**4 - o**4 + (5*o + 5*o - 5*o)*(-o**3 - o**3 - o**3) + 3*o**4 - 10*o**4 - 2*o**4.
-26*o**4
Expand (-2 - 5 + 5)*(q - q - 2*q) + (2 - 2 + 3*q)*(80 - 567 + 7).
-1436*q
Expand (0*r + r + 0*r)*(6*r + 0*r - 2*r + r - 4*r + r + (13 - 1 - 2)*(6*r + 28 - 28)).
62*r**2
Expand 2*o + 0*o - 8*o - 3*o - 11*o + 2*o + (1 - 1 - 2)*(3 - 3 + o) + o - 4*o + 5*o.
-18*o
Expand (0 - 4 + 3)*(-5 + 2 + 5)*(1 - 1 + u)*(-18 + 8 - 7).
34*u
Expand (-2*v**4 + 0 + 0)*(-584 + 876 + 1380).
-3344*v**4
Expand (-u**2 + 14*u - 14*u)*(15*u**2 - 38*u**2 - 2*u + 15*u**2)*(0 - 2 + 0).
-16*u**4 - 4*u**3
Expand (-3*t + 3*t - t**2)*(4*t - 5*t**2 - 4*t) + (-1 + 1 + 2*t**3)*(-3*t - 2 + 2) + t**4 + 0*t**4 + t**4.
t**4
Expand (2*t + 2 - 2)*(2 - 2 + t**2) - t**3 + 0*t**3 + 4*t**3 + (8*t**2 + 6*t**2 - 25*t**2)*(-3 + 3 + t) - 5*t**3 + 3*t**3 + 0*t**3.
-8*t**3
Expand -39*b**2 - 69*b**2 + 22*b**2 - 3*b**3 + (3*b**2 - 2*b**2 + b**2)*(0*b + 3*b - 2*b).
-b**3 - 86*b**2
Expand (-3*n + 2*n + 5*n)*(7 - 4 - 2) + (-3 + 4 - 4)*(0*n + 0*n + n).
n
Expand (-51*v + 137*v + 53*v + 47*v)*(-3*v**2 + v**2 + 3*v**2).
186*v**3
Expand (x**2 + 5*x**2 + 2*x**2)*(-x**2 + x**2 + x**2 + (2*x - 3 + 3)*(11*x + 16*x + 4*x)).
504*x**4
Expand (-2*a**3 + 10 - 10)*(1 + 13*a**2 - 46*a + 46*a).
-26*a**5 - 2*a**3
Expand -o**2 - o**2 + o**2 + ((-4*o + 5*o - 2*o)*(-6 + 4 - 1) + 3 + 2*o - 3 + (-3 - 1 + 2)*(-4*o + 4*o + 2*o))*(-5*o + 9*o - 8*o).
-5*o**2
Expand (2*c**2 - c**2 + c**2)*(-93 - 1 + 34).
-120*c**2
Expand (24 - 24 + 61*l)*(6*l + 8 + 8*l - 16*l).
-122*l**2 + 488*l
Expand (3*w - 16*w - 61*w)*(w**2 + 0*w**2 - 2*w**2) + (-4 - 1 + 6)*(0*w**3 + w**3 - 2*w**3).
73*w**3
Expand 17 - 17 + 4*b**3 + 0*b**3 - 4*b**3 - b**3 + (2*b**3 + 3*b**2 - 3*b**2)*(6 - 1 - 4).
b**3
Expand (-7 + 14*w**3 + 7)*(2*w + w - 5*w).
-28*w**4
Expand (11*d**4 + 3*d**3 - 3*d**3)*(-9*d - 43*d + 5*d + (0 + 0 + 2*d)*(-8 + 3 + 3) + 4 - 4 + d + 3*d + 3*d - 5*d) + 2*d**5 + 2*d - 2*d.
-537*d**5
Expand (-3*w + 6*w - 2*w)*((-2*w**2 + 0*w + 0*w)*(-2*w**2 - 2*w**2 + 2*w**2) - 3*w**4 + 0*w**4 + 5*w**4).
6*w**5
Expand (-430 + 430 - 26*c + 3*c + 0*c - 2*c + (-3 + 1 + 0)*(-2 - c + 2))*(c**2 - 7*c**4 + 5*c**2 - 7*c**2).
161*c**5 + 23*c**3
Expand b + 5*b - 5*b + (4*b + 0*b - 2*b)*(142 - 19 + 30) - b + 2*b + b.
309*b
Expand (0*w**2 + 0*w**2 - 2*w**2)*(-4 + 4 + 3*w) - w**3 + 4*w**3 - 5*w**3.
-8*w**3
Expand (23*m + 0*m + 25*m)*(-4 + 4 + 2*m) + m**2 + m**2 - 6*m**2.
92*m**2
Expand (7 - 3 - 17)*(s**2 + 4*s**2 - 4*s**2)*(1 - 4 + 4)*(-1 - s**2 + 1 + s).
13*s**4 - 13*s**3
Expand (1 - 4 + 4)*(-1 + 1 - r) - 2*r - 1 + 1 + (-9 - 1 + 2)*(-3*r - 3*r - 17*r).
181*r
Expand (12*h + 5*h - 6*h)*(-4 + 2 + 1)*(1 - 1 - 2*h).
22*h**2
Expand (3*z**3 - 3*z**3 - 4*z**3)*(-z - 2*z + 5*z)*(0*z + 0*z + 3*z) + 0*z**4 + 0*z**4 - z**5.
-25*z**5
Expand (-2*h + h**2 + 2*h + (-2*h + h + 3*h)*(-5*h + 2*h + h) + 0*h**2 - 4*h**2 + 2*h**2)*(-h + 3*h + h**2 - 4*h).
-5*h**4 + 10*h**3
Expand (2*z - z - 3*z)*(2*z - z - 2*z) - 3*z**2 + 0*z**2 + 0*z**2 + z**2 - 2*z**2 + 3*z**2 + (-4*z + 5*z - 3*z)*(z + 0*z + z) - 219 + 219 - 41*z**2.
-44*z**2
Expand (-3*k - 2*k + 18*k)*(-1 + 2 + 2) - 2 + 4 + k + 0.
40*k + 2
Expand (-6 + 27 - 4)*(2 - 2 - g) + (-2 + 5 - 1)*(-2 - 2*g + 2).
-21*g
Expand (5*z**5 - z**5 + 5*z**5)*(1 - 3 + 0) + (-2*z**3 - 2*z**3 + 3*z**3)*(-5 - 2*z**2 + 5) + 2*z**5 + 2*z**5 - 5*z**5 + 3*z**5 + z**3 - z**3.
-14*z**5
Expand (-c - 5 + 5)*(-c**2 + 3*c**2 - 4*c**2) + (-c + 0*c - 3*c)*(-5*c**2 + 3*c**2 + 13*c**2).
-42*c**3
Expand (2 + 2 - 3)*(b + b + 0*b) - 394*b + 1552 - 1552.
-392*b
Expand (-3*k + 2 - 2)*(-20 + 3 - 11).
84*k
Expand (36*j - 21*j + 26*j)*(3*j + 0 + 0) - 2*j**2 + 0*j**2 + 3*j**2.
124*j**2
Expand (-2*f + f + 0*f)*(1 + 1 + 3) + 4*f - 2*f + 0*f + 1 - 3 + f + 4.
-2*f + 2
Expand (0*g + 2*g - 3*g + 1 - 2*g - 1 - g + 5*g - 3*g + (-2 + 3 + 1)*(0*g + 0*g - 2*g) - 4*g + 0*g + 3*g - 4*g + 2*g + g)*(4 - 1 + 10)*(-7 + 3 - 2).
624*g
Expand -a**2 - a**2 + 4*a**2 + 2148*a + 76*a**2 - 2148*a + (-a + a + 2*a)*(-a + 2*a + a).
82*a**2
Expand (2*m**2 + 4*m - 4*m)*(-2*m + 2*m**2 + 2*m) - 41*m**4 + 75*m**4 - 41*m**4 - 18*m**2.
-3*m**4 - 18*m**2
Expand (3*t + 1 - 4*t + 2*t)*(-49434*t**2 + 49434*t**2 + t**4 + 97*t + (4*t**3 - 5*t**3 + 0*t**3)*(-1 + 2*t + 1)).
-t**5 - t**4 + 97*t**2 + 97*t
Expand (2*w + 2*w - 6*w)*(-9*w + 10 + 10 - 17)*(-2*w**3 - 3*w**3 - 3*w**3)*(-2 + 1 - 1).
288*w**5 - 96*w**4
Expand (0*c**4 + 0*c**4 + c**4)*(0*c + c - 2*c) - 3*c**5 - 26*c + 29*c - 147*c - 4*c**5 + 4*c**5 - 2*c**5 + (0*c**2 - c**2 - c**2)*(-4*c**3 - c**3 + 3*c**3).
-2*c**5 - 144*c
Expand (-66*a + 854*a + 909*a + 704*a)*(-a**3 + 0*a**2 + 0*a**2).
-2401*a**4
Expand (1 + 5 - 3)*(-83*l - 55*l + 31*l).
-321*l
Expand (-g + g - 2*g)*(2 - 2 + g**2) + 27*g**3 + 13*g**3 + 22*g**3.
60*g**3
Expand (3*x**3 + 3*x**3 - 5*x**3 + x**2)*(0*x + 0*x + 2*x + (-3 + 2 + 3)*(-7*x + 4*x + x) + 4 - 4 + x).
-x**4 - x**3
Expand -5*a + 5*a + a**5 + (0*a**3 + a**3 + a**3)*(a**2 + 0*a**2 + 0*a**2) - 4*a**3 + 4*a**3 + 2*a**5 + (4*a**2 + 9*a**2 - 10*a**2)*(-5 + 5 + 11*a**3).
38*a**5
Expand (-14 + 2*k + 14)*(-2 + 1 + 2) + (-4 + 2 + 0)*(5 - 1 - 3)*(0*k - 2*k + 0*k) + 26 - 18*k - 26.
-12*k
Expand (4 - 3 - 3)*(-3 + 2*i + 3) - 4*i + i + 2*i + 1 - 1 - i + 0*i + 0*i - i + (1 + 0 + 0)*((6*i - 2*i + 0*i)*(4 - 1 - 7) + 1 - i - 1).
-24*i
Expand 0*d - 4*d + 6*d - 2*d + d - 3*d + 4*d - 3*d - 2*d + (2*d + 0*d + 0*d)*(2 - 2 + 2) + d + d - 4*d - d + d - 2*d - 212*d + 364*d + 426*d - 21*d + 199*d.
753*d
Expand (0*u + 3*u**2 + 0*u)*(4 - 5 - 3 + (0 + 0 + 2)*(2 - 2 + 1))*(-2 + 2 - 5).
30*u**2
Expand 2*h - 2*h - 2*h**2 + (-2*h + 5 - 5)*(0*h + 4*h + h) - 35 + 35 - 19*h**2 - 3*h + 2*h - 1 + 2*h**2 + 2*h.
-29*h**2 + h - 1
Expand (14*n + n + 31*n)*(-2 + 2 + 1).
46*n
Expand (-730*l**2 + 379*l**2 + 408*l**2 - 11*l)*(-2*l**3 - 2 + 2).
-114*l**5 + 22*l**4
Expand (11 + 6*x - 11)*(2*x**3 - 3*x**3 - x**3) + (-57*x + 57*x + 25*x**2)*(-1 + x**2 + 1).
13*x**4
Expand y - 5*y + 2*y + (3*y - 5*y + 0*y)*(-2 - 1 + 1) - 5*y + 2*y + y + 2 + 4*y - 2 - 2*y - 2*y + 3*y.
3*y
Expand (-9*u**3 + 14*u**3 + 5*u**3)*(-1 - 1 + 7) - u**3 + 3*u**3 - u**3 + (u - u - 2*u**2)*(-2 + 2 + u) + (2*u**3 + 0*u**3 - 4*u**3)*(0 + 3 - 6).
55*u**3
Expand (-3 + 3 - h)*(-45 + 21 + 90).
-66*h
Expand (-2*l**2 + 0*l**2 + 4*l**2)*(31 + 17 - 11)*(-3 + 3 - 1).
-74*l**2
Expand (h**2 + 7 + 29654*h - 29654*h)*(-2*h - 2*h + 2*h).
-2*h**3 - 14*h
Expand (0*k + 2*k - 3*k)*(5*k - 3*k - 5*k)*(-1 - 2*k + 1) + (-2*k**2 + 2*k**2 - k**2)*(0*k + 2*k + 0*k).
-8*k**3
Expand (2*m**4 + 3*m**3 - 3*m**3)*(-12 + 12 - 29*m + (-6 + 4 + 1)*(2*m + 3*m - 6*m) - 5*m - 16 + 16).
-66*m**5
Expand (-2*f**2 + 13*f**2 + 6*f**2)*(3*f - 2*f + f)*(0 - 2 + 0)*(-3 - 3 + 4).
136*f**3
Expand (-3*j - 2*j + 6*j + 0*j + j - 3*j + (-2 - 1 + 4)*(-2*j + j - j) + 0*j + 0*j - 2*j - j - j + j + 0*j + j - 2*j)*(3 - 6 + 1) - 3*j - 4*j + 6*j.
13*j
Expand -2*u + 2*u - u**2 + (-u**2 + 40*u + 0*u**2 - 41*u)*(-2 - 2 + 6).
-3*u**2 - 2*u
Expand -g**4 - 4*g**4 + 2*g**4 + (11*g**4 - 25*g**4 - 25*g**4)*(-1 + 2 - 3).
75*g**4
Expand 0*m - m + 0*m + (-4 + 2 - 5)*(-m + 5*m + 5*m).
-64*m
Expand (-1 + 1 - 2)*(-321*n + 73*n + 139*n).
218*n
Expand (14 - 14 + 48*z**3)*(3 + 3 - 7).
-48*z**3
Expand -c - 4*c + 0*c + (4 + 0 + 2)*(-c + 0*c + 3*c) + 2*c + 0*c + 0*c.
9*c
Expand (-10*m - 3 + 3)*(-38*m + 48 - 48)*(-3*m + 3*m + 2*m).
760*m**3
Expand 0 + 0 + h**2 + (-11 - 14 + 28)*(0*h + 3*h**2 + 0*h).
10*h**2
Expand (1 - 5 + 3)*(3*g**3 - 6*g**3 - 11*g**3)*(-36 + 36 + 8*g).
112*g**4
Expand (-z**3 - 3*z + 3*z)*(2*z**2 - 2*z**2 + 2*z**2) + 4*z**5 - 3*z**5 + 0*z**5 + (-z + 2 + 0 + 0*z)*(-154 + 154 + 76*z**4).
-77*z**5 + 152*z**4
Expand ((2*w**2 - 3*w**2 + 4*w**2)*(4*w - 6*w + 4*w) - 4*w**3 + 5*w**3 - 2*w**3)*(4 - w + 3 - 2*w).
-15*w**4 + | {
"pile_set_name": "DM Mathematics"
} |
ch is the nearest to x? (a) j (b) -4/7 (c) 5
b
Suppose m = -0 - 1. Let g be ((-5)/(-30))/(2/(-6)). What is the nearest to g in -4/9, 1/6, m?
-4/9
Let d = -21 - -27. Which is the closest to d? (a) 2 (b) 3 (c) -0.2
b
Let a = -15 - -15.3. What is the nearest to a in 1, 0, 4?
0
Let x = 0.03 + 1.97. Let t = 4 + 1. Suppose -16 = -t*l + l. Which is the nearest to x? (a) l (b) -4 (c) 0.4
c
Let o = -3 + 3.1. Let k(c) = -2*c**3 + 4*c**2 - 2*c + 1. Let h be k(1). What is the closest to h in o, 0.2, 3?
0.2
Let p(d) = d**2 + 6*d + 10. Let n be p(-5). Which is the closest to 1? (a) -4 (b) n (c) -1/7
c
Let u(h) = h**3 + 5*h**2 - 5*h + 6. Let m be u(-6). Let o = -47 - -46.9. Which is the closest to m? (a) o (b) -0.3 (c) 3/5
a
Let i = 0.39 + 0.01. Let k(g) = g**3 - 4*g**2 - g - 22. Let f be k(5). Which is the nearest to -1? (a) 1 (b) f (c) i
b
Let y = -1 - -2. Suppose -10 = -2*n + 5*p, -p - 9 = -4*n + 11. Suppose z = -n*g - 13, -y = z - g - 0. Which is the nearest to -2/7? (a) 2/11 (b) z (c) 0.3
a
Let u = 4 + 1. Let m = u - 2. Let g = 0.1 + -0.2. What is the closest to g in m, 0.5, -3?
0.5
Let w = 8/17 + -49/68. Let r = -17 + 14. What is the closest to w in -5, 0.1, r?
0.1
Suppose -2*r + 8 = -4*r - 4*k, 0 = 2*r + k + 2. Let j be 1/(-2)*(-3)/12. What is the closest to r in j, 1, -3?
j
Let d = -0.33 - -0.03. Let m be 27/(-18)*(-1)/(-3). Let v = 2/395 + -318/395. Which is the nearest to m? (a) v (b) d (c) -5
b
Let t = -0.963 + -0.037. What is the nearest to t in -2/17, -5, 5?
-2/17
Let z = -0.24 - -0.24. Let x(k) = -k**3 - 5*k**2 - 2*k - 6. Let f be x(-5). Let w = -1.11 + 0.11. Which is the closest to -3? (a) w (b) z (c) f
a
Let w = 1.93 + 1.07. What is the nearest to 2/3 in 1/8, -2, w?
1/8
Suppose d = -d - 2. Let r = -0.78 + 0.68. Let s = -4 - 1. Which is the closest to r? (a) s (b) -2/5 (c) d
b
Let g = -31 + 31.5. What is the nearest to 2 in -2/15, 2, g?
2
Suppose 0 = -5*g + 11 + 4. Suppose -2*p - g*o = -5, -o = -2*p + 4 + 5. Let h = p + -6. Which is the closest to -0.2? (a) 4 (b) 0.1 (c) h
b
Let m = -108 + 112. What is the nearest to 1 in m, -0.4, 2/9?
2/9
Let o = 55 - 58. What is the nearest to 0 in -15, -0.2, o?
-0.2
Let j = -2.7 + 3. Which is the nearest to -2? (a) -3 (b) -3/7 (c) j
a
Let m be -6 - (-2 - -2)/1. Let y be 6/(-8) - 4/m. Let u = 2 + -3. What is the closest to u in 0.3, -0.4, y?
-0.4
Let w = -17.2 - -17. What is the nearest to w in 3/4, 1/3, -1?
1/3
Let b = 57 - 56.5. What is the nearest to -2 in b, -4, -0.2?
-0.2
Let u(f) = f**3 - 3*f**2 - 2*f + 3. Let r be u(3). Which is the closest to 0.1? (a) r (b) 5 (c) -0.09
c
Let o = -5 + 23. Let r be (4/(-2))/((-60)/o). Let k = -5 + 9. Which is the closest to 1/3? (a) r (b) k (c) 0.4
c
Let m = 523/65 + -41/5. What is the closest to -1 in 3/5, m, 1/2?
m
Suppose 0 = -3*n + 5*c - 10, 3*c = -2*n - 2*c + 10. Suppose -2 = 4*p + 2*t + 4, n = p - 3*t + 19. What is the closest to 0 in p, 1, -0.4?
-0.4
Let t = -53/12 + 11/3. Let f = -92/469 + -6/67. What is the nearest to 0.1 in -2, t, f?
f
Let n = 866/15 + -288/5. Which is the closest to 0? (a) 2 (b) 1 (c) n
c
Let y be 48/(-462) - 4/(-14). Suppose 0 = d + d + 2. Which is the closest to d? (a) -4/5 (b) -2 (c) y
a
Let s = 2.16 + -0.16. Which is the closest to 0.1? (a) s (b) -0.4 (c) -1/7
c
Let g = 3 - 2.5. Let v = 22.83 + -23. Let m = -0.07 - v. Which is the closest to m? (a) 2/3 (b) g (c) 4
b
Let u = -21/65 + -1/13. What is the nearest to u in 0, 0.2, 5?
0
Let d = -9 - -9.1. Which is the closest to 1/3? (a) -1 (b) -6 (c) d
c
Let y be (-3)/117*-3*(1 + 1). What is the nearest to 9 in -3/7, -2/3, y?
y
Let i = 1 - 0.5. Let t = -20 + 19. What is the nearest to t in -2, -4, i?
-2
Let r = 102 - 106. Which is the closest to -1? (a) 0 (b) r (c) 1/12
a
Let i = -77.7 + 84. Let k = 1.3 - i. Let o = -5.5 + 6. What is the nearest to -1 in k, 2/9, o?
2/9
Let x = -0.2 + 0.4. Let m = 2/97 - 200/291. Let i = -0.2 - 0. What is the closest to -2/3 in i, m, x?
m
Let k = -13 + 14. Which is the closest to 0? (a) k (b) -2 (c) 0.1
c
Let r = 14 - 10. Let y = 159/5 - 32. Which is the closest to -2/5? (a) r (b) y (c) -0.5
c
Let n = 0 + -0.1. Suppose 0 = -3*l - 3 - 3. What is the nearest to n in 5, l, 0.3?
0.3
Let p = -0.4 + 5.4. What is the closest to 1/4 in -0.4, 18, p?
-0.4
Let i = 0.11 + -0.51. Let p = -0.4 - i. What is the nearest to -2 in p, 1, 3/7?
p
Suppose 0 = -0*x + 2*x - 2. Let y = 4 + -11. Let m = y + 6. Which is the closest to x? (a) m (b) -5 (c) 5
a
Let v be -3*((-4)/6 - 0). Suppose -v*a + 75 = -a. Let f = -676/9 + a. What is the nearest to -1 in 1/2, f, -3?
f
Let c = 28 - 27. What is the nearest to 0 in 0.03, c, -4?
0.03
Let h = -0.08 - 2.92. Let u be 1/(-3) + (-19)/(-117). Let i = u - 2/39. What is the closest to 1 in h, i, -4?
i
Let s = 4.6 + 0.4. Let h = s + -9. What is the closest to 1 in h, -0.3, -2/7?
-2/7
Let o = 125 + -121. Which is the closest to 2? (a) 1/5 (b) -0.1 (c) o
a
Suppose 0*t + 4*t = 4. What is the closest to t in -0.3, 1/11, -3/8?
1/11
Let h = -16 + 15.7. Let c = 0.8 - 1. What is the closest to 0 in h, c, -0.5?
c
Let x = -32 + 28. What is the closest to -1 in 0, 5, x?
0
Let v = 1.1 + 5.9. Let h = v + -6.7. Let p = -66.1 - -66. What is the closest to p in -4, h, 1/7?
1/7
Let f = 15 + -13. Let a = -2/541 + -1064/4869. What is the closest to f in 1/5, 2, a?
2
Let j be (-6)/(-4) + (-55)/50. Let z = 3 + -7. Which is the closest to j? (a) -1/2 (b) z (c) 3
a
Let o = -2.2 + 1.2. What is the nearest to 1 in -0.1, o, 0.3?
0.3
Let v = -10 - -10.02. Let y = 0.48 + v. Let r(f) = -f**2 - 6*f - 4. Let g be r(-6). Which is the nearest to 0.1? (a) g (b) y (c) 5
b
Let f = -194 - -321. Let p = f - 124.06. Let h = -0.06 - p. Which is the nearest to 1? (a) h (b) 1 (c) -3/8
b
Let t = -0.286 + 0.086. Which is the nearest to 5? (a) t (b) -0.4 (c) 0.2
c
Let m = -4 + 0. Let h = -21.6 - -22. Let y = -1 - -1. What is the nearest to y in m, -2, h?
h
Let s = -0.04 - -3.04. Which is the closest to 0.1? (a) s (b) 2/11 (c) -3
b
Let r = -3 + -4. Let g(u) = -u**3 - 8*u**2 + 0 - 12*u + 0 + 5*u. Let m be g(r). Which is the closest to 2? (a) -3 (b) m (c) 2/3
c
Let s(i) = 2*i**3 + 2*i**2 + 5*i + 3. Let z be s(-1). What is the closest to z in 1/7, -0.2, 3/7?
-0.2
Let v = -0.73 + -1.27. Let t = -1.1 - -0.8. What is the nearest to v in 0.5, -5, t?
t
Suppose 3*z + 6 = 5*z. Which is the nearest to -1/2? (a) z (b) -2/3 (c) 3/2
b
Let z = 0.33 - -3.67. Which is the nearest to -0.1? (a) z (b) -0.1 (c) 0
b
Suppose -35 = -z + 6*z. Let p be (z - -5)*(-1)/2. Let i = 0.9 + 0.1. Which is the nearest to p? (a) i (b) 0.4 (c) 5
a
Let x = 0.112 - -0.088. What is the nearest to -0.3 in x, -0.3, 13?
-0.3
Let s = 0.1 - -0.2. Let y = -30 + 26. Which is the closest to s? (a) 0.3 (b) y (c) -1
a
Let p = 0.4 - 0.1. Let v = -0.75 - 0.25. What is the nearest to v in p, 2, 0.5?
p
Let v = -1697/7 - -243. Let d = -5 + 3. What is the closest to v in 4, d, -0.3?
-0.3
Let x(i) = -i**2 - 8*i + 6. Let g be x(-9). Let j be ((-2)/4)/((-1)/g). Let v = 0.01 - -1.99. Which is the closest to 0? (a) j (b) v (c) -1
c
Suppose -4*z + 4*l = -12, 2*l - 4*l - 12 = 4*z. What is the closest to z in -3, -0.1, -3/2?
-3/2
Let s = 2.5 - 2. Let m = 0.08 - 1.08. Which is the closest to -1? (a) 3 (b) s (c) m
c
Let o = -31 + 34.8. Let v = 1.2 + o. Let y = 0.93 - 0.63. What is the nearest to 0 in y, -1, v?
y
Let g = 3.021 - 0.021. Let o = 5 + -5. Which is the closest to o? (a) 5 (b) g (c) 4
b
Let m = -52.6 + 53. Which is the nearest to 0? (a) -5 (b) -1/2 (c) m
c
Let z = -0.5 - -0.4. Which is the nearest to 4? (a) z (b) 1/3 (c) -0.5
b
Let v = -2 - 11. Let j = -12.5 - v. Let h = -3 + 17/5. Which is the nearest to -1? (a) j (b) h (c) 1
b
Let z = 3.2 + -3. Let g = 0.049 - -3.951. Which is the closest to 0? (a) z (b) -2/7 (c) g
a
Let m = 73 + -68. Which is the closest to 2/3? (a) -2 (b) 4 (c) m
a
Let u = -0.01 - -3.01. What is the closest to 1 in -0.2, u, 3/4?
3/4
Let m = -428/5 - -85. What is the nearest to -1 in m, 4, 0?
m
Suppose 4*r = -0*r. Let z = -0.11 - -0.21. What is the nearest to r in -0.5, z, -0.3?
z
Let j = -13.8 + 14. Which is the nearest to 3? (a) -2/5 (b) -2/7 (c) j
c
Let d = -0.1 - 4.9. Let z = 6 - 3. Let p = z - | {
"pile_set_name": "DM Mathematics"
} |
*f)/f) assuming f is positive.
f**(-379/22)
Simplify ((u**(-4))**(3/13)*(u**(-4)*u)/(u**(-2/5)*u))**13 assuming u is positive.
u**(-294/5)
Simplify ((p/p**(-1/36))**(-1/28))**(1/16) assuming p is positive.
p**(-37/16128)
Simplify (m**(-2/5)/m)**(-2/37)*((m*m/m**(-2/5))/m*m)**(4/3) assuming m is positive.
m**(606/185)
Simplify ((g**(-7/2)/g)/g)/(g*(g**3/g)/g)*(g*g*g/(g**(-2/75)*g*g))/((g**(-13/5)*g)/g) assuming g is positive.
g**(-581/150)
Simplify (d**(4/11))**(-50)/(d**(-2/7)*d*d**(-1/18)) assuming d is positive.
d**(-26113/1386)
Simplify (s**13*s*s**7)**(-5/4) assuming s is positive.
s**(-105/4)
Simplify (l**(2/43))**(-29)/(l**(-1/9)/(l/(l/(l*l/(l**(-16)/l)*l))*l)) assuming l is positive.
l**(7648/387)
Simplify (((g*g**2/g*g)**(5/2))**(-2/71))**0 assuming g is positive.
1
Simplify (((k*k**(3/11))/k)/(k**(-1/20)/k))**(2/13) assuming k is positive.
k**(291/1430)
Simplify (q*q**(-16)*q)/(q**14/q)*q**(-9)/q*q/((q/q**21*q)/q)*q assuming q is positive.
q**(-15)
Simplify ((r**(-3)/(r/(r**(-3/4)*r)))**(-16))**(-3/2) assuming r is positive.
r**(-90)
Simplify j/j**(3/37)*j*j**(-16)*(j/(((j/j**20)/j)/j))**(-3/5) assuming j is positive.
j**(-5047/185)
Simplify (f**(-2/3))**(-1/4)/((f/(f**(1/11)*f))/(f/f**(-4/7))) assuming f is positive.
f**(845/462)
Simplify ((m*m**(-3/5))/m*m**(-2/3))/((m**9/m)/(m**(-7)*m)) assuming m is positive.
m**(-229/15)
Simplify ((a**6/a)**18)**(1/11) assuming a is positive.
a**(90/11)
Simplify m**7*m/((m/(m**(2/9)/m))/m)*m**(2/57)*m**(1/4) assuming m is positive.
m**(5135/684)
Simplify (((f/((f**(2/5)*f)/f*f))/(f**(-3/4)*f))**(-2/27))**22 assuming f is positive.
f**(143/135)
Simplify x**4*x**4*x/((x**(2/17)/x)/x)*x*((x**(-4)*x)/x)/x assuming x is positive.
x**(117/17)
Simplify ((a*a**(-3/4))/a**(-20))/((a*a**(-7/4))/a)**(-2/73) assuming a is positive.
a**(5899/292)
Simplify n*n*n*n**(-2/3)*n*n*n**(-23)*(n**(-3))**(-1) assuming n is positive.
n**(-47/3)
Simplify (((h/(h*h**(-5)))/h*h*h)/h*(h*h*h**(-17)*h)/h)/(h**(-21)/h**(-1/24)) assuming h is positive.
h**(263/24)
Simplify ((c/c**(-12))/(c**11/c))/(c**(1/13)*c**(-3/8)*c) assuming c is positive.
c**(239/104)
Simplify v/(((v*v**(-2/5))/v*v*v)/v)*v**1/v*v*v**2*v**(-1) assuming v is positive.
v**(12/5)
Simplify (t*t/(t/(t/(t*t*((t/(t*t**(-7/3)))/t)/t*t)))*t**7*(t*(t*(t*(t/(t**(1/5)*t)*t)/t)/t)/t)**(2/7))**(-22) assuming t is positive.
t**(-13618/105)
Simplify f*((((f**(-3)*f)/f)/f)/f)/f*f**(2/9)*(f*(f**12*f)/f)/f**2 assuming f is positive.
f**(56/9)
Simplify (y/((y*y/y**(-10))/y))/(y*y**(-1/4))*y**(-3/26)*y**(-14)*y*y assuming y is positive.
y**(-1189/52)
Simplify ((w**(10/9)*w)/(w*w**(-4/5)))/((w/w**(-2)*w)/(w*w**(2/5)*w)) assuming w is positive.
w**(14/45)
Simplify (((f/f**(-2))/f**(-7/2))/((f*f**(1/2))/f*(f/(f*f**(3/7)))/f))**28 assuming f is positive.
f**208
Simplify (d/(d*d/d**(1/2)*d*d))**(-4/9)/(d*d*d**(-1/12)*(d*d**(-20))/d) assuming d is positive.
d**(691/36)
Simplify ((r**(7/8)/r**(1/6))**(4/3))**(-2/3) assuming r is positive.
r**(-17/27)
Simplify (h/h**1)/(((h/(h/(h/h**(-24))))/h)/h)*(h*h**(-2/19))/h**3 assuming h is positive.
h**(-477/19)
Simplify (i**(-2/9)/i**(-3/4))/(i**(-4/5))**(-20) assuming i is positive.
i**(-557/36)
Simplify (w*w**(2/3)*w/(w*w**(-5))*w)/(w/(w*w*w**(-3)*w))**3 assuming w is positive.
w**(14/3)
Simplify (d*d**17*d)/(d*d/(d/(d/d**(1/5)*d*d)*d))*(d**18*d)/d**(-8/5) assuming d is positive.
d**(184/5)
Simplify ((((s**(-1/2)/s)/s)/(s**(-7)*s))**1)**(-6) assuming s is positive.
s**(-21)
Simplify ((x**(-10)*(x/((x**4/x)/x))/x)**33)**(25/6) assuming x is positive.
x**(-1650)
Simplify (h*h**2)**(-29)*h**9/(h/((h/(h*h**(2/19)*h))/h)) assuming h is positive.
h**(-1541/19)
Simplify (o**(-4)/o)**30/(o*o*o**(-5)*o)**(-2/81) assuming o is positive.
o**(-12154/81)
Simplify ((j**(3/13)/j**(-6))**32)**(1/23) assuming j is positive.
j**(2592/299)
Simplify (a**12/a**(-4/3))/(((a**8/a)/a)/(a/a**(5/4))) assuming a is positive.
a**(85/12)
Simplify ((x**5*x*(x**(1/6)/x*x*x)/x)/(x*x/(x/(x/x**(2/15)*x))*x**(-2)))**(1/4) assuming x is positive.
x**(53/40)
Simplify (t/t**(-5/6))**(-44)/(t**21*t**3) assuming t is positive.
t**(-314/3)
Simplify ((c**(23/4)*c**(-7))**20)**(-12) assuming c is positive.
c**300
Simplify (((t*t/(t*t**(-4)))**(2/39))**(-2/41))**(1/56) assuming t is positive.
t**(-5/22386)
Simplify ((n**(-9)*n**(-2/17))/(n**(-2/5)*n)**15)**25 assuming n is positive.
n**(-7700/17)
Simplify ((a/(a/(a/(a/(a**11*a*a*a))))*a)/a**(18/11))/(((a**(-13/4)/a)/a)/a*a**(-1/43)) assuming a is positive.
a**(37153/1892)
Simplify (d/(d*d**(2/3))*d**(-10/9))/(d/d**(5/2))**(4/11) assuming d is positive.
d**(-122/99)
Simplify r/(r*(r*r**(-1/28))/r*r*r)*r/(r*r**(-1))*(r*(((((r/r**(-1/31))/r)/r)/r)/r*r)/r)/(((r**(-19)/r)/r)/r) assuming r is positive.
r**(16551/868)
Simplify v/(v/(((v*v/(v/(v/v**(-2/17))))/v*v*v)/v*v))*v**16*v*v*v**(-13)/v**(7/2) assuming v is positive.
v**(157/34)
Simplify ((c**6*c**(-6))/(((c/((c/(c**(-3/5)*c))/c))/c)/(c/c**(-6))))**(4/3) assuming c is positive.
c**(44/5)
Simplify (r*r/r**(-2/15)*r*r)/r**(-20)*r/(((r/r**(7/3)*r)/r)/r)*(r*r/(r*r/(r*r**(6/13)))*r*r)/r assuming r is positive.
r**(5836/195)
Simplify h*h/h**(-27)*h/(h**(-1/28)/h)*h/((h**(1/9)*h)/h)*h**(-26/5) assuming h is positive.
h**(33673/1260)
Simplify u*u**13*u*u*u/(((((u/(u**(9/7)*u))/u)/u)/u)/u)*u*u*(u*u/u**(-3))/u*(u*u/(u**(-1/15)/u))/u assuming u is positive.
u**(3187/105)
Simplify (b**(-7))**(-3/20)/(b**(3/4))**(6/19) assuming b is positive.
b**(309/380)
Simplify (u**6)**(-2/93)/((u**(4/7)*u)/(u*u**(1/22))) assuming u is positive.
u**(-3127/4774)
Simplify (((p*p*p*(p*p**(-13))/p)/p)/(p/p**26))/(p**(2/23)*((p**(12/7)*p)/p)/p) assuming p is positive.
p**(2125/161)
Simplify (x**(8/7)/x**8)/(x*(x/x**(1/2))/x*x)**(-8/5) assuming x is positive.
x**(-156/35)
Simplify (s*s**(-5/8))/(s/s**(2/7))*s/(s/s**(-8))*s*s**(-1/3) assuming s is positive.
s**(-1289/168)
Simplify ((n*n*n**(-1/8)*n*n*n/n**(-2/7))/((n*n*(n/(n/((n/n**(-4/5))/n*n)))/n)/((n/n**4)/n)))**(10/7) assuming n is positive.
n**(-459/196)
Simplify (((u*u/u**(-5)*u)**(-30))**23)**20 assuming u is positive.
u**(-110400)
Simplify (h**(-1/16))**(6/11)/(h**(-1/4)/(h/h**(-3)*h)) assuming h is positive.
h**(459/88)
Simplify (((n/(n*n/(n*n/(n**1/n))))/n)**(-6)*(n*(n*(n**0*n*n)/n*n*n)/n)**(-10/3))**(-2/51) assuming n is positive.
n**(80/153)
Simplify (i**(-6)/i*i/(i*i**6)*i*i*i**(1/2)*i*i/(i/(i*i*i**(4/5)*i*i*i*i*i)))**(-12/5) assuming i is positive.
i**(102/25)
Simplify ((v/((v/(v*(v/(v*(v**27*v)/v))/v))/v))**(-7/3))**(9/4) assuming v is positive.
v**(273/2)
Simplify ((y*(y/(y**(-4)*y)*y)/y)/((y/y**(3/2))/y))/(y/y**(-1/3)*y**(-10)) assuming y is positive.
y**(91/6)
Simplify ((((s/s**(1/3))/s)/s)/s)/(((s*(s/(s*s**7)*s)/s)/s)/s)*(s/(s/(s/s**(-2/31)))*s)/s*s**(-1/17) assuming s is positive.
s**(10549/1581)
Simplify (m/(m/(m*m/(m*m**(3/8)*m)*m)*m*m))/m**3*(m/((m/(m**2/m))/m))**32 assuming m is positive.
m**(477/8)
Simplify (((m/m**(3/11))/m*m)/m**(13/3))/(m**1)**50 assuming m is positive.
m**(-1769/33)
Simplify ((w*w**(-18/7))/(w**(-3/13)/w))**(-32) assuming w is positive.
w**(992/91)
Simplify (p**(8/3))**(-1/6)*p/(p*p**(-2/27))*p/(p*p**7) assuming p is positive.
p**(-199/27)
Simplify (q**(2/5)*q*q**7*q*q*(q/q**(-1/2))/q*q*q/q**(1/4))**(2/147) assuming q is positive.
q**(253/1470)
Simplify (q*(q**(2/31)*q)/q)/(q/q**(-2/5))*(q**(-1/5)*q)**(1/2) assuming q is positive.
q**(2/31)
Simplify t**7/t**(-2/9)*t**(2/5)*(t/(t*t*t*t*t/t**(-15)*t*t))/t assuming t is positive.
t**(-647/45)
Simplify (((y**(-1/5)/y)**(1/28))**28)**(-14) assuming y is positive.
y**(84/5)
Simplify ((s/((s/(s*(((s/(s*(s/(((s*s**(-16))/s)/s))/s*s)*s)/s)/s)/s*s))/s)*s*s*s**(-5/4))**7)**(-33) assuming s is positive.
s**(15015/4)
Simplify (x**(2/27))**(10/11)/(x**(-1/34))**(-2/17) assuming x is positive.
x**(5483/85833)
Simplify ((b**0*b)/b)**(2/31)*(b*b**3)**(-5/3) assuming b is positive.
b**(-20/3)
Simplify (((w/((w*w/((w/(w*w**6*w*w)*w)/w))/w*w))/(w**(-3/5)*w))/((w**(4/9)/w)/w**(-4/7)))**(-5/4) assuming w is positive.
w**(1483/126)
Simplify j**(-3/7)*j*((j*j**(-2/11))/j)/j*j*j/(j*j**(4/7))*j**12 assuming j is positive.
j**(130/11)
Simplify ((q/q**5)/q*q*q*q*(q*q**17*q)/q)/(((q**(20/3)*q*q)/q)/q**8) assuming q is positive.
q**(49/3)
Simplify (w*w**(-14)*(w/((w*w**(1/5))/w))/w)/((w**20/w)/(w*w | {
"pile_set_name": "DM Mathematics"
} |
m)*(-7 + 3 + 2)*(13 + 16 + 33).
744*m
Expand -l + 1 - 4*l**3 - 2*l**2 + 4*l**2 + l**3 + 1588 - 59*l**3 - 1588 + (-2*l**2 - l**2 + l**2)*(4*l - l - 2*l).
-64*l**3 + 2*l**2 - l + 1
Expand (-5*w**2 + 4*w**2 + 3*w**2)*(2 - 6 + 1)*(-17 + 8 - 13)*(4 + 11 - 2).
1716*w**2
Expand (-354 + 314 - 737)*(4*r**2 - 2*r**2 - r**2)*(-1 + r**3 + 1 + (0 + 0 - 3*r**2)*(-r + 2*r + 0*r)).
1554*r**5
Expand 6*f - 3*f - f + (3 - 2 - 4)*(121365 + 364*f - 121365).
-1090*f
Expand -3 - 47*f + 75*f - 6*f - 5 + 5 + 3*f + (-4*f + 5*f - 3*f)*(0 - 2 + 3).
23*f - 3
Expand (0*y + 0*y - y)*(-3*y + 3*y - 2*y**2) + y**3 + 2669*y + 2 - 1088*y - 1083*y.
3*y**3 + 498*y + 2
Expand (3 - 4 + 2)*(-3*z + z**2 + 3*z)*(-101 - 103 + 57)*(-4 + 0 + 2 + (-2 + 1 - 1)*(-2 - 1 + 1))*(-2 + 2 - 2).
588*z**2
Expand (4*v - 5*v + 3*v)*(3 + 3 - 4) - 4 + 4 - 10*v + (0 - 1 + 4)*(-44 + 42 - 130)*(-1 - 2*v + 1).
786*v
Expand (-2*q**3 + q**3 - q**3 + (5*q**2 - 2*q**2 - 4*q**2)*(-2*q - 6 + 6) - 4*q + 4*q + q**3)*(4 - 4 + 2)*(4*q + 2*q + 10*q).
32*q**4
Expand 14 - 14 + i + (-44*i - 37*i + 29*i)*(3 - 1 - 3)*(10 - 2 - 1).
365*i
Expand (-r - 6 + 0*r + 2)*(674*r - 1758*r + 409*r) + (3 - 3 + 2*r)*(-r - 2 + 2) - 4*r**2 - r**2 + 6*r**2.
674*r**2 + 2700*r
Expand (3*k**2 + 10*k**2 - 2*k**2)*(827 + 79*k**2 - 827).
869*k**4
Expand (1 - 4095496*z + 4103335*z - 1)*(0*z + 2*z - z).
7839*z**2
Expand (-200 + 200 + 402*k)*(1 - 1 - 2*k**2 + k + k**2 - k + (2*k + 4*k - 4*k)*(-5 + 5 - 2*k) - 2*k + 2*k - k**2).
-2412*k**3
Expand (-5 + 5 + 2*s**2)*(-69 + 35 - 125 + (3 - 5 + 0)*(2 + 1 - 7))*(-1 + 2 + 0)*(3 - 3 - 2).
604*s**2
Expand (35 - 35 + 6*g)*(17*g - 10*g - 21*g + 2*g**2).
12*g**3 - 84*g**2
Expand -2*r**5 + 5*r**5 - 4*r**5 + 2*r + (3*r**2 - 5*r**2 - 3*r**2)*(-4 + r**2 + 4)*(-18*r - 11*r + 3*r).
129*r**5 + 2*r
Expand (-5 - 6 - 3)*(2*q + 9*q + 0*q)*(q + q + 5*q).
-1078*q**2
Expand (7*z**2 + 31*z**2 - 9*z**2)*(44*z**2 - 36*z**3 - 14*z**2 - 28*z**2).
-1044*z**5 + 58*z**4
Expand (-3*z + z + 0*z)*(-10959 - 10954 + 959*z**2 + 21912).
-1918*z**3 + 2*z
Expand (p**3 + 0*p**3 + p**3)*(2 + 5 - 1 + (-8 - 41 - 4)*(3 + 1 - 2))*(p - 1 + 4 + p).
-400*p**4 - 600*p**3
Expand 4*q**3 + 0*q**3 - 2*q**3 + (3 - 3 - 2*q**2)*(5*q + 0*q - 3*q) + (2*q**3 + 4*q - 4*q)*(50118 - 30248 - 33147).
-26556*q**3
Expand (8*y**3 - 8*y**3 + 8*y**4)*(511 - 173*y - 511) - 9*y**5 + 2*y**5 + y**5.
-1390*y**5
Expand (-m**2 + m**2 - 5*m**3)*(2*m - 5 + 0*m + 3 - 17*m + 35*m + 31*m + (0*m + m + 0*m)*(5 + 2 - 5) - 4*m + 4*m + m + 3*m + m - 2*m).
-280*m**4 + 10*m**3
Expand (37*c**2 - 22*c**2 - 10*c - 17*c**2 + 4*c**4)*(-88*c - 88*c + 182*c) + 7*c**5 - c**5 - 2*c**5.
28*c**5 - 12*c**3 - 60*c**2
Expand (1608*z - 1859*z**2 - 1608*z)*(3*z**2 - 4*z**2 + 4*z**2).
-5577*z**4
Expand (-s**3 + s**3 + 2*s**3 + (0 + 2 - 1)*(2*s**3 + 2*s**3 - 3*s**3) - 4*s + 4*s - 2*s**3)*(2712*s**2 + 1664*s**2 - 25854*s**2 - 19029*s**2).
-40507*s**5
Expand (6 - 1 - 3)*(3 + 3 - 4)*(16296*k - 33088*k + 13832*k)*(-1 + 0 - 2).
35520*k
Expand (0*k + 2*k + 2*k)*(k + 3*k - k)*(-40*k - 31 - 35*k + 77*k).
24*k**3 - 372*k**2
Expand 94*a - 9*a + 49*a + (-1 + 1 - 1)*(2*a - 3*a - 3*a) - 5*a + 4*a - 4*a.
133*a
Expand 287*h - 286 + 286 - 3563*h - 1 + 1 - 2*h + 0*h - 5*h + 4*h + (-4*h + 0*h + 3*h)*(-5 + 4 + 2) - 2*h + 2 - 2 + h + 0 + 0 + 4 - 4 - h.
-3282*h
Expand (-1 + 4 - 5)*(-4 - q + 4) - 2*q + q + 5*q + (2*q - 5*q + 4*q)*(2 + 12 + 3)*(-9 + 4 - 4).
-147*q
Expand ((1 - 2*p + 6*p**2 + 2*p)*(p - 2*p + 2*p) + (-2*p**2 - 3*p**2 + 7*p**2)*(-2*p + 0*p + 4*p))*(-1 + 1 + 2*p)*(-71 - 193 + 28).
-4720*p**4 - 472*p**2
Expand 101*s**4 + 2*s**3 - 101*s**4 + 13*s**5 + (-4*s + 0*s + 3*s)*(-3*s**2 - s**4 + 3*s**2).
14*s**5 + 2*s**3
Expand (974 - 974 + 8*g**2 + (4 - 3 - 2)*(3*g**2 - 4 + 4))*(7*g**2 + g - g).
35*g**4
Expand (-3*u + 2*u - u - 3)*(728*u**2 + 733*u**2 - 981*u**2).
-960*u**3 - 1440*u**2
Expand (3*q**2 + q**3 + 0*q**4 - 5*q**2 + q**4)*(1 - 1 + q + (-4*q + 4*q + 2*q)*(-1 + 3 + 0) - q + q - q + 10*q + 13*q + 120*q).
147*q**5 + 147*q**4 - 294*q**3
Expand (6748 - 6748 + 3944*l)*(-l**2 + 7*l**2 - l**2).
19720*l**3
Expand (-6 + u**2 + 6 + (0*u + 5*u - 11*u)*(4*u - 5*u + 0*u))*(126*u - 91*u + 44*u).
553*u**3
Expand ((-j + j - 3*j)*(-j - 2*j + 0*j) + 26 + 6*j**2 - 26)*(2*j**2 + 3*j - 7*j**2 + 6*j**2).
15*j**4 + 45*j**3
Expand (58*b**3 - 110*b**3 - 11*b**4 + 66*b**3)*(-3 - 1 + 0).
44*b**4 - 56*b**3
Expand (-1098*f + 1378*f + 2327*f)*(4*f - 2*f - 3*f).
-2607*f**2
Expand -3*f + 1 - 1 + (f + 0 + 0)*(-1 + 3 + 0) + (2 - 3 + 0)*(54*f + 2*f - 5*f + 4).
-52*f - 4
Expand (5*y + 2*y - 4*y)*((-y + 1 - 1)*(-7 + 7 + 4*y + (-1 + 1 + 2)*(1 + y - 1) + 2*y - 4*y + 0*y + 60*y - 28*y - 12 - 37*y) - 2*y**2 - 2*y**2 + 2*y**2).
-3*y**3 + 36*y**2
Expand (3*i - 5*i - 4*i)*((-2*i - i + 2*i)*(-1 + 1 - 1) + 107 - 107 + 8*i)*(2*i - 4 - 1 + 3).
-108*i**3 + 108*i**2
Expand -183*p**2 + 239*p**2 + 439*p**2 + 804*p**2 - 2*p**2 + 2*p**2 + 2*p**2 + (4*p**2 - 3*p**2 + 3*p**2)*(-2 + 0 + 0).
1293*p**2
Expand -25*l**3 - 12*l**4 + 25*l**3 + (l - l - l**3)*(0*l + l + 5*l + (-3 - 3 + 3)*(8*l + 3*l - 4*l)).
3*l**4
Expand (1080*w + 664*w + 731*w)*(-2 - 2 + 2).
-4950*w
Expand (0*y + 0*y - 2*y**3 + (-8*y + 6*y + 9*y)*(2*y**2 - 3*y**2 + 0*y**2) + 16 - 16 + 5*y**3)*(-y - 5*y + 2*y).
16*y**4
Expand (41*c**2 + 3 + 3*c**3 - 5*c - 41*c**2)*(-62*c + 88*c - 71*c)*(-1 + 1 - 2).
270*c**4 - 450*c**2 + 270*c
Expand (-2 + 0 + 0)*(-2*w**3 - w**2 + w**2) + 2 - 2 + 2*w**3 + 109 + 17*w**2 - 93 - 15 + 17*w**3.
23*w**3 + 17*w**2 + 1
Expand -2*c**3 - 2*c**3 + 15*c**3 + 3 - 3 + 2*c**3 + (47*c - 181 + 181)*(0*c**2 - 9*c**2 + 6*c**2).
-128*c**3
Expand (-z - 5*z + 4*z)*(-5*z**3 + 4*z**3 - 3*z**3) + 554*z**4 + 453*z**2 - 453*z**2.
562*z**4
Expand (10627 + 6065 - 3542)*(u**2 - u**2 + u**3).
13150*u**3
Expand (-z + 2*z - 2*z)*(-4 - 4*z + 2*z + 11 + 4*z + 5*z + 5*z + (z + 2 - 2)*(-2 - 1 + 5)).
-14*z**2 - 7*z
Expand ((0 + 6 - 18)*(1 - 2 + 2) + (6 - 2 - 2)*(-1 - 1 + 3))*((3*f + 0*f - f)*(f - 3*f + 0*f) + f**2 - 4 + 4).
30*f**2
Expand -4*g - 3*g + 5*g + (-2*g + 4*g + 0*g)*(1 + 3 + 1) - 2*g - 3*g + 3*g + (0*g + g + 0*g)*(-5 - 1 + 4) - 2*g + 1 - 1 - 1 - 2*g + 1 - 2*g - 4*g + g.
-5*g
Expand (-28 + 28 + 8*c**3)*(0*c - 3*c + 2*c) + (-2*c**2 - c**2 + c**2)*(-2*c**2 + 2*c - 2*c) - 3*c**3 - 27*c**4 + 3*c**3.
-31*c**4
Expand 3*f**5 - 3*f**5 - f**5 + (3*f**2 + f**3 - 29101 + 29101)*(38*f**2 + 139*f**2 - 24*f**2 + 17*f**2).
169*f**5 + 510*f**4
Expand (-177*j + 177*j + 27*j**5)*(-32 + 67 - 90).
-1485*j**5
Expand (18 + 23 - 67)*(9*n**2 - 9*n**2 + 11*n**3 + n**2 - n**2 - 2*n**3 + (-3*n - n + 2*n)*(2*n**2 - 1 + 1) + 3*n**3 - 3*n**3 - n**3 - 8*n**3 - 8*n + 8*n).
104*n**3
Expand (3 - 4 + 2)*(p - 3 + 4 - 2*p + (-1 + 4 - 2)*(-6*p + 4*p + 6*p) + 1 - 1 - p)*(0*p**2 + 0*p**2 + 5*p**4 + (-3 + 1 + 3)*(-6*p + 4*p**4 + 6*p)).
18*p**5 + 9*p**4
Expand (-3*t**2 - 4 + 4*t**2 + 2 + 30*t**2 - 125*t**2 - 15*t**2 + (-1 + 2*t + 1)*(t + 6 - 6))*(t + 2*t - t + (-1 - 2 + 2)*(3*t + 0*t - 5*t) + 3*t + 0*t - 4*t).
-321*t**3 - 6*t
Expand (-81 - 137*h + 81)*(-7 - 12 + 10).
1233*h
Expand (5*d + d - 4*d)*(-62 - 126 + 59)*(0 + 1 + 4) + 3 - d - 3.
-1291*d
Expand -14*p - 23*p + 40*p + (p - p + p)*(-3 + 3 - 2) + p - 4*p + 4*p.
2*p
Expand (-k**3 + 0*k**3 - k**3)*(-3*k + 0*k + k - 3*k - 2*k + 3*k + (-4 + 0 + 2)*(6*k + 0*k - 4*k) + 114097*k + 118272*k - 226734*k).
-11254*k**4
Expand (-2*m**3 + 3*m - 3*m + (2 - m - 2)*(0*m + 0*m + 2*m**2) + (-150 + 9*m**2 + 150)*(7 - 3*m - 7))*(m**2 - 2*m**2 + 5*m**2).
-124*m**5
Expand (-1282*d + 1282*d + 1367*d**2)*(-6*d + 0*d**3 - 2*d**3 + 3*d**3).
1367*d**5 - 8202*d**3
Expand (-2*j + 4 - 4)*(-2*j - 9*j - j)*(844 - 1268 + 681)*(-1 + 0 + 3).
12336*j**2
Expand (-1017 + 334 - 715*o**3 + 14*o + 328 + 355)*(0 + 1 + 0).
-715*o**3 + 14*o
Expand (-2*a + 2*a + 4*a**2)*(-2 + 1 + 2) + a**2 - 8 + 2*a**2 + 6 - 108*a**2 - 131*a**2 + 318*a**2.
86*a**2 - 2
Expand (-2 - 5 + 1)*(2567 + 107*f**2 - 2567 - f**2 + 0*f**2 + 0*f**2 + (2 - 1 - 3)*(f**2 - 2*f**2 - f**2)).
-660*f**2
Expand (-2*j - 2*j**3 + 2*j)*(-1 + 1 + 1) - 4*j**3 + 2*j**3 + 0*j**3 - 206970*j**2 + 7*j + 206970*j**2 + 59*j**3 - 2*j**3 + 4*j**3 - 3*j**3.
54*j**3 + 7*j
Expand (-312 + 54 - 136)*(-1 - 3 + 3)*(2 - d - 3*d + 11*d).
2758*d + 788
Expand -41564*s - 1302*s**3 + 234*s**3 + 41565*s + (2 - 6 + 2)*(0*s**2 + 0*s**2 + s**3).
-1070*s**3 + s
Expand (-77*k + 16*k**2 + 77*k)*(185*k + 4 | {
"pile_set_name": "DM Mathematics"
} |
2 + (16 - (-28)/4). Let f be (-6)/((-30)/a) + 2. Solve f*i + 9 = -26 for i.
-5
Let d(y) = -88*y**2 - 94*y + 2. Let p be d(-1). Solve -384*t = -388*t - p for t.
-2
Let l be (-1 - -8 - 1211/(-519))*(-3)/(-2). Solve 0 = -l*n + 3 - 45 for n.
-3
Let t be 0*(2/(-3))/(120/45). Suppose -h + 1 = -0. Solve 3*b - h - 8 = t for b.
3
Suppose 6237*b - 728 = 6209*b. Suppose -10 = -4*d + 14. Solve -d + b = 4*l for l.
5
Let t be (0/(-2))/(5*(-10)/(-25)). Suppose t = 135*p - 152*p + 17. Solve -o - p = -4 for o.
3
Let w = -116 + 118. Let g be (-2856)/(-75) + 1 + (-44)/550. Solve -37*r + g*r = -w for r.
-1
Let o(q) = -2*q**2 - 172*q + 3034. Let m be o(15). Let p(g) = -g**3 - 7*g**2 - 7*g - 6. Let c be p(-6). Suppose 5*r + 3 - 8 = c. Solve m = v - r for v.
5
Suppose 295*k = -27*k + 33810. Solve k*v = 66*v + 117 for v.
3
Let q = 147 - 87. Suppose 0*i - q = -4*z - 5*i, 0 = -2*z - 2*i + 32. Solve 6*v + z = 2*v for v.
-5
Let i be 4/(-7) - (-3 - 68/(-28)). Suppose 5*d = 7*z - 3*z - 52, i = -z + 4*d + 24. Solve 3*k - z = 7*k for k.
-2
Let q(r) = -r**2 - 11*r - 18. Let i = -135 + 63. Let j = i + 63. Let n be q(j). Solve 9 = -3*v - n*v for v.
-3
Let v(t) = -467*t - 3709. Let j be v(-8). Solve j*u - 21*u + 37*u = 0 for u.
0
Let k(z) = z**3 - 7*z**2 + 4. Let t(i) = i + 4. Let d be t(-1). Suppose 2*v = 5*o - 35, -d*o - 21 = -6*o + 4*v. Let h be k(o). Solve h*c - 4 = -20 for c.
-4
Suppose 34*n = 27*n - 91. Let c be (1 - 46/4)*26/n. Solve 10*x = 3*x + c for x.
3
Let j(m) = 7*m. Suppose 0 = 5*n - 10, 4*d - 4*n + 2 + 6 = 0. Let r be j(d). Solve -4*x + 8 + 0 = r for x.
2
Suppose 18 - 58 = -4*y. Suppose 0 = y*u + 7*u - 34. Suppose u*i - 7*i = -2*i. Solve 0*h - 2*h + 2 = i for h.
1
Let f be 105/(8/96*18). Solve f + 91 = 23*m for m.
7
Suppose 2*c = 4*n - 30, 4*c - 1 + 5 = 0. Suppose n*v - 4*v + 3*q = 15, -3*v + 24 = -6*q. Solve -v*h + 2*h - 4 = 0 for h.
-1
Suppose -140*p + 77*p = -94*p + 11842. Solve -384*a = -p*a - 12 for a.
6
Suppose 5*l - 6 = -6. Suppose 20*a - 129 - 471 = l. Solve 0 = -7*v - a + 2 for v.
-4
Suppose 117 = 111*a - 102*a. Let u(w) = -w**3 + 13*w**2 + 9*w - 95. Let p be u(a). Solve 4*o - p = -18 for o.
1
Suppose 0 = 1051*q - 1067*q + 320. Let b(t) = t - 1. Let k be b(2). Let r be -1 - (-6 + 1)/k. Solve 0*d = -r*d + q for d.
5
Suppose -43 = -5*c - 35*i + 33*i, 0 = 2*c - i - 10. Suppose 0 = 2*a + c - 37. Solve 6*u - 3*u = -a for u.
-5
Let i = -2 + 3. Suppose 8*r - 4 = 6*r. Suppose 0 = o - r*o - 2*m + 7, 1 = o - m. Solve -2*c = -o*c - i for c.
-1
Let j(x) = -x**2 + 100*x - 364. Let g be j(4). Solve 150 = g*o + 30 for o.
6
Let y = -38 + 46. Suppose y*j - 225 = 5*j. Let c be 1 - (-174)/45 - (-10)/j. Solve -h + c*h - 8 = 0 for h.
2
Let u(r) = r**3 + 2*r**2 - 3*r + 1. Let t(q) = -5*q**2 - q + 2. Let s be t(1). Let n be u(s). Let a = n - -21. Solve -1 = -3*z + a for z.
1
Let h be (-10)/6*(9 + 2 + 1). Let v = -20 - h. Suppose -12*u + 15*u - 12 = v. Solve 0 = u*j + 12 - 0 for j.
-3
Suppose -2*b + j + 107 = 0, -2*b - 4*j - 51 = -163. Solve -63*a + b*a = -45 for a.
5
Suppose -2*m = -4*k + m + 269, -4*m + 183 = 3*k. Let q = 67 - k. Solve 11*h - 10*h = q for h.
2
Suppose -481*r + 23471 + 8689 = -41433. Solve -34*g + r + 85 = 0 for g.
7
Let t(a) = -a**3 + 6*a**2 + 13*a - 7. Let l be t(7). Suppose -l*f + 30*f = -10. Solve p + f = 1 for p.
-1
Let f(r) = r**2 + 2 + 6*r**2 + 4*r**2 - 8*r - 6*r**2. Let y be f(4). Let n = -47 + y. Solve 1 - 10 = -n*h for h.
3
Let a(h) = -h**3 - 10*h**2 - 8*h - 179. Let y be a(-11). Solve 46*t - 36*t = y for t.
3
Let h(q) = 11*q - q - 70 - 6*q. Let g be h(20). Solve -3*r - g = -13 for r.
1
Let g be 3/2*(-60)/(-18). Suppose q - 2*q = -3*i + 5, 5*q = g. Let b be 57/(-95)*-1*5. Solve 10 = b*n + i*n for n.
2
Let h(y) = y - 8. Let x be h(12). Suppose 1225 = 70*m - 21*m. Solve -x*p + 9*p = m for p.
5
Let y = -373 - -401. Suppose 10*g = y*g - 198. Solve g = -p + 7 for p.
-4
Let n(b) = -b**3 - 4*b**2 - 3*b - 6. Let r be n(-4). Suppose q = r*q - 10*q. Suppose 18 = t + 5*j, q*t + 12 = 2*t - 2*j. Solve 0 = 5*u - t - 7 for u.
3
Suppose -17*i = -8*i - 18. Suppose -i*v = 5*q + 4, 4*v = -14*q + 9*q + 2. Let s(g) = -g**2 - 8*g - 4. Let x be s(-7). Solve v = 2*l - x for l.
3
Let y = -17 + 36. Suppose 3*g - 6 = -i, 3*i + 3*g - y = -7. Solve 25 = -8*q + i*q for q.
-5
Suppose -3*p + 4*h - 8 = 34, 3*p + 42 = -3*h. Let q = p + 13. Let b be (3 + (-12)/4)/(q + -2). Solve -w - 1 = -b*w for w.
-1
Let z(f) = 2*f**3 + 41*f**2 + 9*f - 63. Let t be z(-9). Solve t = -3*s + 1707 for s.
-4
Suppose 3*g = -4 + 28. Suppose g*b + 70 + 90 = 0. Let o be (-32)/b*(-15)/(-2). Solve -2*m - m = o for m.
-4
Suppose 150 = -6*h - 324. Let w = 84 + h. Let a be (4/w)/(54/(-15) - -4). Solve s + a*s = -3 for s.
-1
Let n(m) = m**3 - 9*m**2 + 3*m + 5. Let l be n(8). Let u = 40 + l. Suppose -15 = 2*c - u*c. Solve 0 = -w + c*w - 20 for w.
5
Suppose 0 = -84*w + 232 + 272. Solve -w*h - 34 + 4 = 0 for h.
-5
Suppose 2*v + 3*f - 99 = 0, 75*v + f = 73*v + 85. Solve 49*u - 20 = v*u for u.
2
Let r = 47 + -42. Suppose 0 = u - r - 27. Let k = u - 29. Solve 0*a - k = a for a.
-3
Let t(k) = k**3 - 24*k**2 + 24*k - 17. Suppose 3*u = 15, 4*u - 1 + 4 = p. Let r be t(p). Solve -5*l = 16 - r for l.
-2
Let v = 25 + 91. Let f be ((-2*5/15)/(-2))/(3/(-1035)). Let o = v + f. Solve -o - 3 = g for g.
-4
Let i = 981 + -979. Suppose 43 = 5*w + 4*p + 38, i*w + 4*p + 10 = 0. Suppose -10 = u + 5*d, -2*u + 5 = 4*d + d. Solve w = -4*g - u for g.
-5
Let i(k) = -k**3 + 40*k**2 + 2*k - 79. Let d be i(40). Let r be (-5*10/150)/(d/(-15)). Solve 6*c + 2 = r*c for c.
-2
Let s(n) = 8*n**2 + 5. Let o(k) = -7*k**2 + k - 4. Let r(y) = 7*o(y) + 6*s(y). Let u be r(7). Suppose -166*w + 1300 = 94*w. Solve 3 = -w*b - u for b.
-1
Let h(c) = -c + 27. Let w be h(20). Suppose w*i = 27 + 85. Suppose j + 4*t - 16 = 0, -2*t + i = 2*t. Solve j = -0*s - s for s.
0
Let n be 3 + 0 + 7 + 4. Suppose 0 = 2*g - 4*q - 8, n = 6*g - g - 4*q. Let z = 25 + -9. Solve 0 = g*r + 2*r + z for r.
-4
Let v = -393 + 877. Let p = v + -466. Solve p*k - 33 = 7*k for k.
3
Let b = -2732 - -2760. Solve 12*m = 4 - b for m.
-2
Suppose 156*d = 305*d - 152*d + 807. Solve d*s - 5 = 274*s for s.
-1
Suppose 6*k = 2*k - 16, -5*s + 36 = -4*k. Suppose s + 8 = 4*o. Suppose -10 = -4*a + o*b + 7, 4*b = -12. Solve -a*h - 20 = 3*h for h.
-4
Let v(l) = -l**2 + 13*l + 24. Let f be v(12). Let a = -36 + f. Let c be (a/(-4))/(-4) + 20. Solve i = -3*i + c for i.
5
Let m = -31 - -40. Let l(j) = j**2 - 24. Let t be l(m). Let g = t + -57. Solve 4 = -g*w + 4*w for w.
1
Suppose -7*r = -2*r + 5*i - 1950, 0 = -4*i. Solve -r = 44*l + 21*l for l.
-6
Suppose -5*o = -c - 35, o + 4*c - 32 = -4. Solve o*z - 3*z = 0 for z.
0
Suppose -25*o - 16159 - 1466 = 0. Let g = o + 708. Solve g*t = 3 - 18 for t.
-5
Suppose 0 = -2*u + 114 + 112 - 174. Solve -132*l = -119*l + u for l.
-2
Suppose -2*m = -2*k + 20, -5*k - 5*m - 14 + 34 = 0. Solve 28 = k*o - 7 for o.
5
Suppose 4 = 37*n - 41*n. Let h be (60/10)/(-18)*(n - 5). Solve h*o - 3 = -1 for o.
1
Let w be 496/2728 + (-37462)/(-22). Solve 1699*p = w*p + 16 for p.
-4
Let f(d) = d**2 + 136*d + 409. Let w be f(-3). Solve -w*x - 40 = -20 for x.
-2
Let z(c) be the first derivative of c**4/4 + 4*c**3/3 + c**2/2 - 3*c - 1022. Let b(f) = f**2 - 4*f - 3. Let j be b(4). Let y be z(j). Solve y*r + r = 8 for r.
2
Suppose 5*g + b = -15, -2*g + b + 1 = 14. Let i be (-40)/(-8) - 4/g. Solve i*t - 20 = 2*t for t.
5
Let h = 33 + -23. Let b be 0/((-20)/(-25) - (-2)/h). Solve b = 4*n - 16 for n.
4
Let g be (22 - 14 - 7)*20. Solve 41*s + 84 = g*s for s.
-4
Let g = -253 + 257. Let d be (-15)/(-6) + 3/24*g. Solve -d = l - 4 for l.
1
Suppose 15*k + 3*o + 1500 = 18*k, -980 = -2*k - 3*o. Let n = -488 + k. Solve -6 = 2*x - n*x for x.
1
Let l be 16*(121045/40)/43. Solve -1139*p - 65 = -l*p for p.
-5
Suppose 107 = 4*q + 5*c, 3*c + 5 = 2*c. Solve -q*f - 82 = 17 for f.
-3
Suppose 4*t - 137 = -67 + 342. Solve 19*p + t - 27 = 0 for p.
-4
Let c = 7882 - 7816. Solve -21*k - 39 = c for k.
-5
Let q be 29 - -7*4/(-28). Let l(v) = v**2 - 28*v + 10. Let f be l(q). Solve 4 = -f*n + 24 for n.
2
Let p = -19 + 16. Let y be 8/(-4)*p/(-6). Let i be (-1)/((-3)/6) - (-1 - y). Solve i*j = -3*j + 25 for j.
5
Let w = -14 - -23. Let h = 10 - w. Suppose 73*l + 76 - 222 = 0. Solve l*f - h = 1 for f.
1
Suppose -4*b = 3*l - 161, -b | {
"pile_set_name": "DM Mathematics"
} |
-25*y + 2. Determine l(t(f)).
-2500*f**2 + 400*f - 16
Let q(o) = 12447*o**2. Let f(d) = -d**2. Determine q(f(h)).
12447*h**4
Let b(m) = -2*m. Let s(q) = 18*q - 7*q - q - 6*q. Give b(s(y)).
-8*y
Let s(w) be the first derivative of -2*w**2 - 3. Let g(l) = 6*l + 5. Let r(p) = -p - 1. Let d(b) = -2*g(b) - 10*r(b). Give d(s(k)).
8*k
Let b = -3 - -5. Let a(x) = -14*x + b*x**2 + 14*x. Let z(i) = 2*i**2. Determine a(z(g)).
8*g**4
Let a(g) = -16*g + 10. Let v(y) = -5*y + 3. Let b(x) = 3*a(x) - 10*v(x). Let z(l) = 2*l. What is b(z(c))?
4*c
Let r(i) = 2*i**2. Let n(p) be the third derivative of 11*p**4/12 - 5*p**2. Determine n(r(m)).
44*m**2
Let i(n) be the first derivative of 83*n**3/3 - 38. Let r(h) = -2*h**2. Give r(i(v)).
-13778*v**4
Let r(i) = -2*i**2. Let u(z) = 888*z**2. What is r(u(d))?
-1577088*d**4
Let i(q) = -3*q + 2*q + 3*q. Let f(r) = 546*r - 546*r - 3*r**2. Calculate i(f(v)).
-6*v**2
Let n(d) = 291*d. Let k(q) = -2*q**2. Determine n(k(w)).
-582*w**2
Let m(l) = l**2. Let z(g) = -191*g**2. Give z(m(q)).
-191*q**4
Let b(p) be the second derivative of 2*p + 0 + 7/6*p**3 + 0*p**2. Let s(d) = -11*d**2 - 14*d**2 + 26*d**2. Calculate s(b(l)).
49*l**2
Let t(q) = -279*q. Let j(w) = 22*w**2. Calculate j(t(v)).
1712502*v**2
Let d(b) = -5*b**2. Let f(t) = -7*t + 60. Determine d(f(p)).
-245*p**2 + 4200*p - 18000
Let m(a) = -395*a**2 + a - 2. Let z(u) = 4*u. Calculate m(z(j)).
-6320*j**2 + 4*j - 2
Let z(u) = -u**2. Let x(w) = 3*w**2. Let s(a) = -x(a) - 2*z(a). Let m(p) = -52*p. Let l(v) = -11*v. Let q(i) = -14*l(i) + 3*m(i). Calculate q(s(y)).
2*y**2
Let o(r) = -2*r**2. Let b(a) be the first derivative of -1 + 0*a**2 + 0*a + 1/3*a**3. Calculate b(o(s)).
4*s**4
Let s(p) = p**2 - 8. Let q(l) = 5*l**2. Give q(s(b)).
5*b**4 - 80*b**2 + 320
Let z(p) = -p + 130. Let t(q) = -3*q. Determine t(z(g)).
3*g - 390
Let r(v) = -2*v. Let j(i) = -156*i. Give r(j(q)).
312*q
Let k(z) = -13*z. Let q(w) = 2*w + 2. Determine k(q(h)).
-26*h - 26
Let m(w) = -7*w. Let i = 2/5 - -4/15. Let c(y) be the first derivative of -i*y**3 + 0*y + 2 + 0*y**2. Determine m(c(d)).
14*d**2
Let w(s) = -s. Let c(g) = -5*g**2. Let z(f) = -f**2. Let j(y) = -4*c(y) + 25*z(y). Determine w(j(m)).
5*m**2
Let v(r) = -2*r**2. Let y(m) = 30*m**2 - 14*m**2 - 11*m**2. What is v(y(b))?
-50*b**4
Let h(z) be the third derivative of z**5/60 - 2*z**2. Let l(p) = 35 - 35 + 0*p - p. Determine l(h(d)).
-d**2
Let b(n) = 2*n. Let j(c) be the third derivative of -c**5/20 + c**2. Calculate b(j(o)).
-6*o**2
Suppose 4*g + g - 3*t = 30, 29 = 3*g - 4*t. Let n(s) be the third derivative of 0*s + 0*s**g + s**2 + 0 - 1/8*s**4. Let x(l) = -l**2. Give n(x(j)).
3*j**2
Let i(w) = -2*w - 2. Let p(t) = t**2 - t - 1. Let y(b) = -i(b) + 2*p(b). Suppose f - 6*f + 10 = 0. Let h(k) = -3 + k**2 - 3*k**f + 3. What is h(y(s))?
-8*s**4
Let s(q) be the first derivative of q**5/120 + 2*q**3 - 1. Let u(o) be the third derivative of s(o). Let t(y) = -4*y - 3*y + y. What is t(u(x))?
-6*x
Let k(y) = 3*y**2. Let m(n) = -8 + 0*n + 3*n + 8. Give m(k(w)).
9*w**2
Let g(t) = -t + 2*t + 2*t - 5*t. Let l(x) = 5*x**2. Determine l(g(o)).
20*o**2
Let p(n) = -5*n**2. Let l(b) = -b. Let m be 2/6*(-30)/(-5). Let w(y) = -4*y. Let x(h) = m*l(h) - w(h). Determine p(x(t)).
-20*t**2
Suppose -4*c + 9 - 1 = 0. Let k(v) = -v**2 + 5*v - 3*v**2 + c*v**2. Let g(r) = r**2 - 2*r. Let w(z) = -5*g(z) - 2*k(z). Let a(q) = -2*q**2. Give a(w(d)).
-2*d**4
Let d(y) = 7*y - 6. Let g(b) be the first derivative of -4*b**2 + 7*b - 3. Let n = 11 + -17. Let r(t) = n*g(t) - 7*d(t). Let s(j) = 2*j. Calculate s(r(v)).
-2*v
Let i(a) = 4*a**2 + 2*a - 2*a. Let h(y) be the third derivative of 0*y + 0*y**3 + 0 + 4*y**2 - 1/12*y**4. Calculate h(i(f)).
-8*f**2
Let f(w) = -w**2 - 2 + 2. Let a(v) = -v**2 + 3*v - 3. Let m(o) = 2*o**2 - 5*o + 5. Let l(u) = 5*a(u) + 3*m(u). Give f(l(x)).
-x**4
Let m(n) = 8*n**2. Let k(t) = -5*t. Let f(p) = p**2 - p. Let x(q) = -5*f(q) + k(q). Calculate x(m(a)).
-320*a**4
Let y = 17 - 32. Let c(i) = 18*i**2. Let j(w) = -w**2 - 4*w - w + 5*w. Let p(n) = y*j(n) - c(n). Let r(k) = -2*k**2. Calculate r(p(q)).
-18*q**4
Let i(q) = -12*q**2. Let o(k) = 20*k - 6*k - 13*k. Determine i(o(z)).
-12*z**2
Let m(r) = 12*r. Let h(t) = 2*t + 183. Give m(h(l)).
24*l + 2196
Let j(h) = -2*h. Let f(s) = s + 9. Let d be f(-4). Let g(m) = m + 2*m - d*m. What is j(g(o))?
4*o
Let d(p) = 12*p. Let i = -14 - -18. Let a(o) = -2*o - 2*o + 9*o - i*o. Calculate a(d(f)).
12*f
Let l(s) = 3*s. Let x(i) = 8*i - 7. Let f(m) = 7*m - 6. Let w(u) = -7*f(u) + 6*x(u). What is w(l(v))?
-3*v
Let z(t) = -312 - 9*t**2 + 312. Let y(c) = -c**2. What is z(y(i))?
-9*i**4
Let h(v) = 374*v**2. Let t(z) = -3*z. Calculate t(h(s)).
-1122*s**2
Let c(z) be the third derivative of z**5/60 + 4*z**2. Let i(j) = -7*j**2. What is c(i(d))?
49*d**4
Let y(b) be the second derivative of -b**4/12 - b. Let z(n) be the first derivative of 20 + 11*n**2 - 7*n**2 - 7. Give y(z(j)).
-64*j**2
Let w be 5/30*-2*-3 - 1. Let v(t) be the third derivative of 1/24*t**4 + 0*t + 0*t**3 - t**2 + w. Let x(d) = d**2. Determine x(v(q)).
q**2
Let w be (6/(-39) - (-6)/39)/1. Let q(b) be the first derivative of -1/3*b**3 + 0*b**2 + w*b - 2. Let p(s) = 6*s**2. What is q(p(k))?
-36*k**4
Let r(h) = -8*h**2. Let f(v) = -32*v**2. Determine r(f(p)).
-8192*p**4
Let w(t) be the second derivative of 0 + 0*t**3 + 4*t - 1/6*t**4 + 0*t**2. Let c(p) = 2*p. Give c(w(d)).
-4*d**2
Let r(q) = q. Let b(v) = -3090*v. Determine r(b(j)).
-3090*j
Let f(c) = -c. Let x(o) be the second derivative of -o**3 - 2*o + 28 - 28. What is x(f(i))?
6*i
Let a(p) = -4*p - 6. Let o be ((-27)/(-6))/(6/(-8)). Let v(n) = 12*n + 17. Let x(u) = o*v(u) - 17*a(u). Let y(s) = -2*s. Determine y(x(t)).
8*t
Let r(w) = 15*w. Let l(q) be the first derivative of -2*q**3/3 + 9. Give l(r(x)).
-450*x**2
Let f(b) = -8*b**2. Let w(j) = 4*j - 8. Determine f(w(c)).
-128*c**2 + 512*c - 512
Let r(a) = -38*a. Let f(z) be the second derivative of z**4/4 + z - 8. Calculate r(f(u)).
-114*u**2
Let t(m) be the second derivative of -3*m + 0*m**2 + 0 + 2/3*m**3. Let x(v) be the second derivative of v**4/6 - 3*v. What is t(x(c))?
8*c**2
Let w(b) = -2*b. Let g(a) = -5*a**2 + 5*a. Let f(s) = 3*s**2 - 2*s. Let p(i) = -5*f(i) - 2*g(i). Calculate p(w(c)).
-20*c**2
Let b(p) = -13*p**2. Let c(k) = 57*k**2. Determine b(c(z)).
-42237*z**4
Let l(x) be the third derivative of -71*x**4/24 - 34*x**2. Let y(b) = -2*b. Give y(l(d)).
142*d
Let n(w) = -5*w**2. Let c(p) = 8*p + 6. Let h(v) = 7*v + 5. Let t(r) = -5*c(r) + 6*h(r). Determine n(t(f)).
-20*f**2
Let c(q) = q. Let g(a) = -286*a. Give c(g(m)).
-286*m
Let d(m) = -9*m. Let y(u) = 10*u + 14. Determine d(y(k)).
-90*k - 126
Let d(i) = -i**2 - 16. Let s(v) = 44*v. What is s(d(k))?
-44*k**2 - 704
Let b(m) be the first derivative of -m**2 - 2. Suppose p - 1 - 5 = -2*v, 3*p - 2 = -2*v. Let x(i) = 3*i - 2*i + 6*i - v*i. What is b(x(q))?
-6*q
Let i(c) = -41*c**2 + 17*c**2 + 20*c**2. Let q(z) = -2*z. Calculate q(i(o)).
8*o**2
Let t(j) = -2*j**2. Let r(h) = -3 + 48*h + 3 - 31*h. What is t(r(d))?
-578*d**2
Let i(p) = 23*p - 18*p - 13*p. Let u(j) = -j**2. Determine i(u(o)).
8*o**2
Let l(b) = b. Let i(j) = 613*j**2. What is i(l(c))?
613*c**2
Let n(a) = -7*a. Let f(c) = 134*c**2. Determine f(n(y)).
6566*y**2
Let z(x) = -2*x. Let l(g) = 31*g**2 - 6. Let j(p) = -340*p**2 + 65. Let v(b) = -6*j(b) - 65*l(b). Determine z(v(a)).
-50*a**2
Let q(v) = 1806*v. Let c(h) = 6*h**2. What is q(c(j))?
10836*j**2
Let v(w) = 2*w. Let j = 6 + -4. Let q(k) = -5*k**j + 3 - 5 + 2. Determine q(v(c)).
-20*c**2
Let s(p) = 21*p - 9. Let m(c) = 5*c - 2. Let z(q) = -18*m(q) + 4*s(q). Let v(d) = -6*d**2. What is v(z(j))?
-216*j**2
Let h(z) = -2*z**2. Let d(j) = -211*j. Calculate h(d(i)).
-89042*i**2
Let f = 2 - 0. Let w(p) = 4 - 4 + 2*p**f. Let h(s) = 572*s + 566*s - 1719*s + 574*s. Give h(w(t)).
-14*t**2
Let s(j) = -2 + 2*j + 2. Let d(h) = 7*h + 6. Let x(q) = 0 - q + 1 - 2. Let n(g) = -d(g) - 6*x(g). Calculate s(n(u)).
-2*u
Let b(o) = -o. Let z(k) be the third derivative of k**6/180 + k**4/24 + 4*k**2. Let v(c) be the second derivative of z(c). Determine b(v(r)).
-4*r
Let n(u) = -4*u**2. Let d be ((-4)/(-14))/((-2)/(-14)). Let t(z) = 2*z**2 - 3*z**2 + 0*z**2 + 2*z**d. Calculate n(t(i)).
-4*i**4
Let f(b) be the first deri | {
"pile_set_name": "DM Mathematics"
} |
(d) -0.5
d
Let w = 11.7 - -53.3. Let k = w - 68. Which is the biggest value? (a) 0.5 (b) -5 (c) k (d) 0.4
a
Let z = 407 + -406. What is the biggest value in 3/7, z, 1/21?
z
Let y(u) = u**3 - 7*u**2 - 9*u + 12. Let n be y(8). Suppose -m - 20 = n*m. Let o = -88 + 87.6. Which is the third smallest value? (a) m (b) 0 (c) o
b
Let q = -214 + 211. What is the biggest value in 5/2, -5/4, -0.4, q?
5/2
Let f = 1517 + -1521. What is the third smallest value in -5, f, -2/55?
-2/55
Let z = -10 - -7. Let j = 20660 + -309727/15. Let h = 57/5 - j. Which is the third biggest value? (a) -0.3 (b) z (c) h
b
Let s be (6/((-210)/(-55)))/(-2). Let y = -1/2 - s. Which is the third smallest value? (a) y (b) 4/3 (c) -9/5
b
Let c = -98.63 - -98. Let k = -0.93 - c. Let q = -0.2 + 0.6. What is the third biggest value in 6, k, q?
k
Let x(p) = -p**2 + 139. Let u be x(12). Let i(y) = y**3 + y**2 + 2. Let m be i(-2). What is the second biggest value in 1, u, m?
m
Let h = -80 - -80.37. Let o = -0.57 + h. What is the smallest value in -2, o, -0.4?
-2
Let r be 11 + (-9)/(243/303). Let t(w) = -w - 8. Let g be t(-7). What is the fourth smallest value in -1/7, 3/4, g, r?
3/4
Let x = -0.2 + -1.8. Let s(n) = 26*n + 161. Let r be s(-6). What is the smallest value in r, 0.2, x, -1/4?
x
Let p = -53/6 + 26/3. Let x = -391/174 + 70/29. What is the third biggest value in x, -5, p?
-5
Let y = 0.027 + 0.001. Let w = -1.028 + y. Which is the second smallest value? (a) w (b) 5 (c) -3 (d) -2/33
a
Suppose 2*h = -387 + 381. Which is the biggest value? (a) 0.09 (b) h (c) -8
a
Let v = -6/59 + 20/1357. Which is the second biggest value? (a) v (b) -3 (c) 6/7 (d) 2
c
Let r = -25.2 + 19.2. What is the fourth biggest value in 0.8, -5, r, 0.4?
r
Let m = -1807 + 1806.44. Which is the smallest value? (a) m (b) 1/2 (c) 2
a
Let h = -127.8 + 190.9. Let u = 63 - h. Which is the third biggest value? (a) 2/23 (b) 3 (c) 0.3 (d) u
a
Suppose 3*k = -9*k + 216. Let p be k/4*4/(-6). Let b be (-2)/4 - (-2 + 2). What is the third smallest value in p, b, -11?
b
Let n = -63 - -67. Suppose 4 = -s - n. Which is the third biggest value? (a) -5 (b) -1 (c) -0.5 (d) s
a
Let g = 0.088 - 0.388. Let v be (-8)/(-190)*(-4)/(-16). Let y = v - -18/95. What is the third smallest value in y, g, 0.4?
0.4
Let f = 6185/6 + -1031. What is the third biggest value in f, 0.3, 5, 28?
0.3
Let h = -0.8 + -207.2. What is the second smallest value in -2/3, h, -2?
-2
Let h = 1 + -0.6. Let d = 51.9 - 23.1. Let u = d + -29. Which is the second smallest value? (a) u (b) -5 (c) h
a
Suppose 7*w + 2448 = -11*w. Let v = w - -132. Which is the smallest value? (a) 0.5 (b) v (c) -3/2
b
Suppose -5*h - 16 = l - 5*l, 3*h = 2*l - 10. Let v = -154 + 619/4. What is the third smallest value in l, 0.3, v?
v
Let x = 246 - 88. Which is the fourth biggest value? (a) 2/7 (b) 3 (c) x (d) -1
d
Let l be (-4)/1 + -4 - 0. What is the second smallest value in -1/3, -1, l, 4?
-1
Let w = 2.01 - 2. Let t = -310.8 - -311. What is the biggest value in t, -1/5, w?
t
Suppose -h + 4*y = 11, 0 = h - 2*h + 2*y - 7. Let g be (1 - (-7)/(-5))*-5. Let i be -1 - (g + 0 - -1). What is the biggest value in i, -1/7, h?
-1/7
Let g = -27 - -191/7. Let t be (2 - 1) + (-35)/20. Which is the third biggest value? (a) t (b) -4 (c) g
b
Let h be (-1020)/68*1/(-3). What is the smallest value in -49, -9, h?
-49
Let o be ((-1)/2)/((-49)/(-14)). Suppose -6 = 2*h - 0. Let r = -0.6 + -1.4. Which is the third biggest value? (a) h (b) r (c) o
a
Let x = 0.1765 + 0.0235. Let t = 13 + -9. Which is the biggest value? (a) x (b) -3 (c) t
c
Let p be 2 + 1*6*-1. Suppose -107 + 35 = -8*i. Let k = -54.7 - -52.7. What is the second smallest value in p, k, i?
k
Let d = 0.12 + -10.12. Let k = d - -10. Let b = 0.1 + 0.4. What is the second smallest value in b, k, 4/3?
b
Let o = -18.31 - -0.31. Let d = 18.3 + o. Let l = 0.07 + -0.37. Which is the third biggest value? (a) l (b) 3 (c) d
a
Let r be (-70)/(-390) + (-3)/9. What is the third biggest value in -0.3, r, -3/7, -3/8?
-3/8
Let o = -0.1 - -1.2. Let s = o + -1.17. Which is the second smallest value? (a) 1/4 (b) 2/11 (c) s
b
Suppose 5*j = -h - 7, h = 5*j - 14 - 33. Let l be 2 + (170/(-45) - (-6)/h). Which is the second smallest value? (a) -3 (b) 0 (c) l
c
Let x = -267 - -216. Which is the second biggest value? (a) x (b) -2/5 (c) 2/7
b
Let u = -1565 - -1567. What is the third biggest value in u, -5, -1/5?
-5
Let x = 8 + -8.3. Let m(n) = -n**2 - 4*n - 6. Let i be m(0). Let y be (-4)/i*(-1)/(-2). Which is the smallest value? (a) -0.5 (b) y (c) x
a
Let s = 24.1 - 24.03. What is the third biggest value in 0.5, 4, s?
s
Suppose 0 = 13*d - 16*d - u + 11, 2*d - 4*u = 26. Which is the third biggest value? (a) 3/4 (b) d (c) 0.02
c
Suppose 4*g + 5*a = 8*g, g = -3*a. Suppose -u + 2 = -g. Let m be (7/2 - u)/(-3). What is the second biggest value in -4, 5, m?
m
Let n = -20.9 - -15. Let g = -2.9 - n. Let d = -4 + 0. Which is the third biggest value? (a) d (b) g (c) 0
a
Let a = -0.01 - 19.99. Let w = a + 18. What is the second smallest value in 2/13, w, 5?
2/13
Let x = 4/11 + -65/88. Let o(l) = 4 - 2*l + 0*l - 4*l + l**2 + 3*l. Let u be o(3). Which is the third smallest value? (a) x (b) -1 (c) u
c
Let y = -0.2 - -0.18. Let o = 4.02 + y. Suppose -2*k = 7*k + 27. What is the third smallest value in k, 0.3, o?
o
Let y be (-4)/10*(-120)/(-36). Let w be 4/(-10) - 4/(-20). Which is the second biggest value? (a) y (b) -1/3 (c) 4 (d) w
d
Let k be 7/147*-177 + 8. Let x = -4.8 - -2.6. Let u = 2 + x. What is the biggest value in k, 0.5, u?
0.5
Let i = -950 + 54152/57. Which is the second biggest value? (a) i (b) -2 (c) -1/6
c
Let o = -56.416 + 58.4. Let v = o - -0.016. Which is the smallest value? (a) v (b) 1/6 (c) 4
b
Let x = -0.42 + 0.02. Let k = -320 - -316. Which is the second smallest value? (a) k (b) -2 (c) 1/5 (d) x
b
Let z = 72.3 + -73. Which is the second smallest value? (a) 5 (b) 2/7 (c) -3 (d) z
d
Let u = -702/5 - -141. Suppose t + 3*t = -16. Let l be (2 + 2)*(-1)/t. Which is the second biggest value? (a) u (b) -3/2 (c) l
a
Suppose s - 4 = 0, -32*s = -3*f - 30*s + 28. Let m(c) = -3*c - 2. Let b be m(-2). Let v = -0.05 + -1.95. What is the biggest value in f, v, b?
f
Let f = -148 - -736/5. Which is the smallest value? (a) f (b) -18 (c) -1 (d) 1
b
Let q be (-93)/19 + 8/(-76). What is the smallest value in -0.1, -2/9, q?
q
Let s be (-176)/(-154)*(-2)/8*-14. Let m(p) = 6*p. Let v be m(-3). Let z be (v/40)/((-18)/15). Which is the third biggest value? (a) z (b) s (c) 2
a
Let b = -91.1 + 87. Let a = -0.9 + b. Let o = -6 + 11. What is the third biggest value in a, -1/2, o?
a
Let r = -257 - -1283/5. Which is the second biggest value? (a) 2 (b) r (c) 3 (d) -2
a
Let o be (-8)/6 + (-1078)/(-1470). Let i = 0.08 - 3.08. What is the second smallest value in i, 4, o?
o
Let f be (-2)/(-3)*(8 - 2/4). What is the smallest value in f, 9, -4/3, 1/6?
-4/3
Let w = -0.61 + -0.39. Suppose -j - 1 = 2*k - 3, -9 = -2*j + k. Let g = 137/189 + -8/27. Which is the third smallest value? (a) g (b) j (c) w
b
Let l = 2246.3 - 2145. Let g = l + -101. Which is the second smallest value? (a) -0.1 (b) -7 (c) g
a
Let f = 23.6451 - -0.0549. Let x = 24 - f. Which is the second smallest value? (a) x (b) 5 (c) 1
c
Suppose 0 = 4*h - 12, -26 = -3*u + 3*h - 32. Which is the third biggest value? (a) 4 (b) u (c) 23
b
Let l = -32.037 + 0.037. Let c = l + 32. What is the second smallest value in c, -2/7, 18?
c
Let m = 0.09 + 0.21. Let l = 26.3 - m. Which is the second smallest value? (a) -2/5 (b) l (c) 2
c
Let m = -2.9749 - -0.0409. Let a = m + -0.066. What is the biggest value in -0.3, 1, a?
1
Let x be ((-16)/(-18))/(6/(-9)). Let c = -34 - -56. Let j = c - 21. What is the smallest value in j, x, 5?
x
Let o be (-4 - -1 - -6)*(-12)/(-18). Which is the third biggest value? (a) -2 (b) o (c) 2/7
a
Let l = 2605 - 2627. What is the smallest value in l, -2, -1?
l
Let f be ((-2)/(-8))/(14/16). Let y be (-56)/(-10) - 120/20. What is the smallest value in 0.6, y, f?
y
Let g = -1391 - -1390.7. Let h = -6.09 - -0.09. What is the third smallest value in 0.2, h, g?
0.2
Suppose 0 = 5*m - 3*z + 780, 5*m - z = 3*z - 785. Le | {
"pile_set_name": "DM Mathematics"
} |
2)/(-40) - q)?
0
Suppose -255*c + 129064 = -238*c. What is the units digit of c?
2
Let y(x) = x**3 + 18*x**2 + 36*x + 315. Let r be y(-15). Let o = 304 - 175. Suppose o*n - 132*n + r = 0. What is the tens digit of n?
5
Suppose 0 = 5*s + 25, -5*v - 2*s = -17251 - 6159. What is the thousands digit of v?
4
Let o = -2726 - -1602. Let d be (-3 + 25/10)/((-2)/o). Let c = d + 406. What is the units digit of c?
5
Let a(i) = 10843*i**2 - 202*i + 203. What is the ten thousands digit of a(1)?
1
Suppose m + 12079 - 41563 = -i, 2*m = 4*i + 58986. What is the thousands digit of m?
9
Suppose 608 = k + 7*k. Suppose k*m - 3885 = 71*m. What is the hundreds digit of m?
7
Suppose -22*h + 101 + 9 = 0. What is the units digit of (12/(-1))/(3*h/(-310))?
8
Let p = -1091 + 669. Let h = -121 - p. What is the hundreds digit of h?
3
Suppose -f + 5*t = -4*f - 19, -4*t = -4*f + 28. Let k be (f - 36/15)*(-6 + 1). Suppose -k*y = y - 2*o - 561, -5*o = y - 170. What is the units digit of y?
5
Let t = -7952 + 14138. What is the hundreds digit of t?
1
Suppose 0 = s - 10 + 8. Suppose 14*q - 4068 = s*q. What is the units digit of (1 - 0 - q)*70/(-140)?
9
Suppose 25*q - 245847 = 158075 + 192578. What is the units digit of q?
0
Suppose -4*i = -6*i + 5*d + 45893, -91831 = -4*i - 5*d. What is the units digit of i?
4
Suppose -2*m = -5*m - 165. Let w = m - -56. What is the units digit of w?
1
Let i(n) = 86*n**2 + 640*n + 15. What is the tens digit of i(17)?
4
Let i = -130 + 252. Suppose 2*n = 4*w + i + 190, 5*n - 5*w - 790 = 0. What is the units digit of n?
0
Suppose -109*v = 24*v - 2396394. What is the tens digit of v?
1
Suppose -2*r - 119 = -601. Suppose 3*u - r = 29. Let p = 242 - u. What is the units digit of p?
2
Suppose 119995 = 13*o - 8*o. Suppose -46*f - o = -84627. What is the thousands digit of f?
1
Suppose -6*d = -5*o - 3*d - 319, -3*o - d = 197. Let z be (-162)/(-48) + -3 + 1030/(-16). Let s = z - o. What is the units digit of s?
1
What is the units digit of -9 + 10760 + (-36)/3?
9
Let f(s) = 13*s**3 - 138*s**2 + 38*s + 68. Let p(w) = -6*w**3 + 69*w**2 - 18*w - 34. Let u(g) = -3*f(g) - 7*p(g). What is the tens digit of u(23)?
1
What is the units digit of 1/3 + (-3941825)/(-435)?
2
Let x(m) = -2*m**3 - 7*m**2 - m - 4. Suppose 46 = 8*g + 6. Suppose 5 = g*h - 6*h. What is the tens digit of x(h)?
7
Suppose 0 = -5*k - 3359 + 459. Let f be k/(-16) - 1/4. Let q = 127 - f. What is the tens digit of q?
9
Let i = 2786 + 276. What is the units digit of i?
2
Suppose 10*d - 49 = 1. Suppose -3*w = -d*o + 39, -w - 3 = -0*w - 5*o. What is the units digit of (-2 - w/10) + (-4446)/(-30)?
8
What is the units digit of 153/(-3)*61264/(-84)?
6
Let j be 1/(((-3)/(-8))/3). Suppose -3*r - 220 = j*r. What is the units digit of (68/r - 1)/((-2)/5)?
1
Let h(b) = b**3 + 32*b**2 + 63*b + 92. Let i be h(-30). Let t be 4/(-18) + 2/9. Suppose -i*n + 103 + 61 = t. What is the units digit of n?
2
Let f(k) be the first derivative of k**3/3 - 5*k**2 + 19*k - 21. Let o be f(8). What is the units digit of 3 + 0 - (3 + (-222)/o)?
4
Let y be (1206/99 - 8) + 6/(-33). Suppose 1020 = 2*t + y*k, -5*k + 1525 = 3*t - 4*k. What is the units digit of t?
8
Suppose -4*h = 81*o - 77*o - 4364, 5*o = -h + 5475. What is the hundreds digit of o?
0
Let h(d) = 2*d**2 + 20*d + 68. Let y be h(-8). What is the units digit of (-3)/((y/(-1424))/9)?
8
Suppose -5*w + 2*p = 25, -2*w - 3*p + 6 = -3. What is the units digit of (2 - (1 - 2))/((-1)/w)?
9
Let n = -5772 + 10288. What is the tens digit of n?
1
Let x(k) = 3*k**2 + 62*k - 20. Let b be x(-21). Suppose -b = -3*y + 2. What is the tens digit of -11*(y - -84)/(-5)?
8
Suppose 884*w = 841*w + 2304026. What is the tens digit of w?
8
Let j(o) = -o**3 + 6*o**2 - 4*o + 18. Let k be j(6). Let h(g) = -3*g**3 - 9*g**2 - 11*g - 35. What is the units digit of h(k)?
5
Let c(t) = t**3 - 30*t**2 + 28*t + 35. Let j be c(29). What is the units digit of 1216/(-10)*(-15)/j?
4
Let p be (5 + -20)*8/6. Let n(x) = -11 + 2*x**2 + 0*x**2 + 0*x**2 + 28*x. What is the units digit of n(p)?
9
Let m(y) = -y**3 - 74*y**2 + 322*y - 199. What is the tens digit of m(-80)?
4
Suppose 2*n - 392*u + 393*u - 31043 = 0, 0 = -n + 2*u + 15539. What is the tens digit of n?
2
Let h(x) = x**3 + 5*x**2 + 2. Let b be h(-5). Suppose w + 3 = b*u, 6*w - 7*w = -u. Suppose 467 = 5*j + 2*s + 29, 2*j = u*s + 160. What is the units digit of j?
6
Suppose -22*j = 12*j - 38*j + 25040. What is the units digit of j?
0
Let h(k) = -k**3 - 16*k**2 + 11*k + 9. Suppose 0 = 3*p - 5*c + 145, -2*c - 6 = 2. Let a = 38 + p. What is the units digit of h(a)?
1
Suppose 3*x + 11084 = 6*f - 4*f, -5529 = -f - 5*x. What is the units digit of f?
9
Suppose 3*u - 4989 = h, h = 2*u + 6*h - 3343. What is the hundreds digit of u?
6
Suppose -3*t + 3*k = 2706, -35*t + 3*k = -31*t + 3612. Let w = t - -1194. What is the tens digit of w?
8
Suppose 60*q - 54*q = 522. Let u = 94 - q. What is the tens digit of -1 + 170/14 - 1/u?
1
Let f(s) = 156*s + 7583. What is the units digit of f(0)?
3
Suppose 22 = -17*w + 18*w. Suppose 18102 + 1170 = w*l. What is the units digit of l?
6
Let k(i) = 1 + i**2 - i - 6*i**3 + 0*i**3 + i**3. Suppose 2*j + 230 = 2*c + 244, 2*j = 4*c + 18. What is the units digit of k(c)?
7
Let q = -58 + 60. Let t(y) = 0*y + y - 2*y + y**3 - 985*y**2 - 3 + 996*y**q. What is the tens digit of t(-8)?
9
Let l = 42883 + 15962. What is the tens digit of l?
4
Suppose 14925 = 21*l - 91125. What is the hundreds digit of l?
0
Let b be ((-72)/(-21))/((-6)/21). Let z(q) = -32*q - 39. What is the hundreds digit of z(b)?
3
Let y(d) = -5*d + 123. Let p be y(20). Let a(h) = -h**2 + 19*h + 120. What is the tens digit of a(p)?
2
Let h be (-3 - -1)*18547/(-34). Suppose 5*x - h = 1129. What is the tens digit of x?
4
Suppose 19*h = -110529 + 376871. What is the thousands digit of h?
4
Let d(n) = -n + 5. Let k be d(4). Suppose -43*q - 266 = -38*q - 3*m, -2*q = -4*m + 112. What is the units digit of (q/(-39))/(244/(-246) + k)?
4
Let s(g) = -31*g**2 + 7*g + 39240. What is the hundreds digit of s(0)?
2
Suppose 0 = -9*i + 14*i - 2*n - 14, 4*n - 4 = 2*i. Suppose 0 = z + 1 - 2, 0 = i*t + 3*z - 339. What is the units digit of t?
4
Suppose 0 = -3*z + 727 + 83. Let m = z + 732. What is the units digit of m?
2
Let k(z) = 11*z**2 - 53*z + 271. What is the hundreds digit of k(-23)?
3
What is the hundreds digit of (2048/(-12))/((-14)/(-36) + (-2)/4)?
5
Let y(w) = -4*w - 40. Let p be y(-26). Let a = p + -63. What is the units digit of (18/(-54))/(a/(-6))?
2
Let h(v) be the third derivative of -53*v**4/24 + 133*v**3/3 - 57*v**2. What is the tens digit of h(-12)?
0
Let v(l) = -l**3 + 25*l**2 - 11*l + 9. Suppose -4*g = 3*i - 72, 4*g = 8*g - i - 88. What is the hundreds digit of v(g)?
5
Let r = 23085 + -15742. What is the hundreds digit of r?
3
Let k = 99 + 20. Let s = -74 + k. What is the hundreds digit of s/((10/15)/2)?
1
Suppose 1 = -2*q + 5. What is the hundreds digit of q/(6/3) + -12 + 779?
7
What is the thousands digit of 35300/15 + -1 + 4/6?
2
Suppose 1027599 = 847*t + 790*t - 1586*t. What is the thousands digit of t?
0
Suppose 4*j = -3*n + 54068, -n = 2 + 2. What is the units digit of j?
0
Let x = 5513 + -2988. What is the tens digit of x?
2
Let x(m) = -9*m + 143. Let b be x(-6). Suppose w - 467 = -2*v, w - 274 - b = -4*v. What is the tens digit of w?
6
Let z(m) = m**3 - 25*m**2 + 44*m + 46. Let l be z(23). Suppose -k + 5*i + 805 = l, -5*i - 4738 = -5*k - 633. What is the hundreds digit of k?
8
Suppose 2*r - 39259 = -3*o + 91043, -3*r = 2*o - 86873. What is the tens digit of o?
3
Suppose -4*c = -3*f + 218, 3*f = f + 3*c + 145. Suppose -h + 0*h + 76 = 3*v, -h = 2*v - f. What is the units digit of h?
0
Suppose -3*v = -40 + 19. Suppose v*p - 11 = 3. Suppose 2*w = p*d - 76, w + 2*w = 2*d - 77. What is the units digit of d?
7
Suppose 14*h - 16*h + 45*h = 86688. What is the tens digit of h?
1
Let o(g) = 54*g - 11. Let a(l) = 3*l - 14. Let u = 94 - 88. Let m be a(u). What is the hundreds digit of o(m)?
2
Let c(r) = 2*r - 27. Let d(z) = 5*z + 14. Let i be d(0). Let n be c(i). What is the units digit of (-7134)/(-54) + n/(-9)?
2
Suppose -f - 8*f - 6*f = 0. Suppose -5*z + 63 + 102 = f. What is the tens digit of z?
3
Let v(i) = i**2 - 8*i + 12. Let f be v(7). Suppose c + 1218 = 3*o - 687, -5*o + 3 | {
"pile_set_name": "DM Mathematics"
} |
Does 8 divide b?
False
Is 2 a factor of (15/((-180)/1456))/((-1)/3)?
True
Suppose 0 = 2*v - 3*g - 119 + 9, 5*v - 292 = -g. Is 6 a factor of v?
False
Suppose 2*x - 1943 = x - 4*p, 4*x - 4*p = 7852. Is x a multiple of 8?
False
Let r = -8 - -12. Let q(k) = 0*k**2 + r*k + 2*k**2 + 4*k**2 + 2. Does 9 divide q(-2)?
True
Let t(y) = y**2 - 5*y - 46. Is t(-21) a multiple of 25?
True
Suppose -q - 13 = -y + q, -y + q = -8. Suppose 0 = -4*x - 2*r - 94, 0 = -4*x - y*r + 6*r - 89. Does 12 divide 3/(-3) - (-2 + x)?
True
Suppose 3*g - 56 = 2*g. Suppose -221 = 5*i - h, -h + g + 120 = -4*i. Let d = i - -76. Does 9 divide d?
False
Let l(s) = -4*s**3 - 2*s - 1. Let i be l(-2). Let y = i + -24. Suppose -24 = -5*a + y. Is a a multiple of 7?
True
Let v(k) = 2*k**3 - k**2 - 2*k - 1. Let u be v(2). Let z = u + -8. Let c(p) = 15*p**2 - 2*p - 1. Is 16 a factor of c(z)?
True
Let s(n) = 6*n**3 + 2*n**2 - 10*n + 7. Let f be s(4). Suppose 0 = 5*r + f - 963. Does 5 divide r?
False
Suppose 0 = 3*v + 2*v + 485. Let f = 35 - v. Suppose f = 2*g - 4*u, 2*g + 54 = 3*g + 2*u. Is 11 a factor of g?
False
Let u(n) = -n**3 - 3*n**2. Let i be u(-4). Suppose -244 - 113 = h. Is i/(-40) + h/(-5) a multiple of 22?
False
Suppose -3*u - u + 12 = 0. Let s be (-6 + (-56)/(-8))*3. Is 2/s - (-16)/u a multiple of 2?
True
Suppose 0 = -v + 5*y + 16 + 13, -4*v = 4*y + 4. Let d(b) = 3*b - 7. Let h be d(v). Suppose h*p - 149 = 171. Does 16 divide p?
True
Let y(g) = -8*g - 6 - g**3 + 3 - 6*g**2 + 0. Does 13 divide y(-6)?
False
Suppose 22*f - 17*f = -4*b + 5020, 3*b - 3764 = -4*f. Is 18 a factor of b?
True
Let q = 298 - 180. Does 23 divide (q/(-3))/(22/(-33))?
False
Suppose 131 = 3*s - 145. Let t = s + -6. Is t a multiple of 14?
False
Let h be 57/8 + 11/(-88). Suppose -3*i - 3*r + 6 = 0, 3*r + h = 4*i - 1. Suppose -i + 13 = d. Does 3 divide d?
False
Let n = 1150 - 751. Is n a multiple of 18?
False
Let y = -29 + 16. Let i = -10 - y. Suppose -3*d + 166 = 2*v, i*d - 207 + 13 = 5*v. Does 15 divide d?
False
Let t(u) = -u**3 + 3*u - 1. Let y be t(2). Let r be ((-4)/y)/(4/6). Suppose r*i - 4 = 4. Is 4 a factor of i?
True
Let w = 632 + -272. Is w a multiple of 9?
True
Let a(t) = -t**3 - 9*t**2 - 2*t - 2. Let j be a(-9). Suppose 20*m - 480 = j*m. Does 20 divide m?
True
Let r(x) = 6*x**2 + 11*x + 3. Is 4 a factor of r(-3)?
True
Let x be (5/(-2))/(1/(-2)). Suppose -3*y + 0*y = x*j + 1, -j = 5*y - 13. Is 34/8*12/y a multiple of 6?
False
Suppose 2*g = -x - 11, 5*x + 19 = g - 2*g. Let w be -1 + (-2 - g) + -18. Let z = 27 + w. Does 5 divide z?
True
Suppose 0 = -5*z + 2882 + 763. Is z a multiple of 27?
True
Suppose -5*c + 492 + 1714 = -2*f, -2*f - 1764 = -4*c. Does 26 divide c?
True
Let q(j) = j**2 - 18*j + 35. Suppose -3*u - 9 = 4*s - 65, -s = 5*u + 3. Is q(s) a multiple of 6?
True
Let t(q) = -12*q - 3. Let h = -29 - -33. Let k be t(h). Does 12 divide (-2)/3 - 1258/k?
True
Let y = 24 + 94. Suppose -2*p - y = -2*w, 3*w - p = 3*p + 181. Does 5 divide w?
True
Suppose -5 + 11 = i. Suppose 0 = i*l - l - 10. Suppose 0 = -3*r + l*h + 26, 3*h = -4*r - h + 68. Is r even?
True
Suppose -13*s = -12*s + 8. Does 3 divide s/12*(-90)/4?
True
Suppose 0 = 2*h - 7*h + 675. Is h/36*128/6 a multiple of 40?
True
Let p = -49 - -64. Does 8 divide (-766)/(-12) + p/90?
True
Let w(b) = -36 - 2*b + 3*b - 2*b + 32 + 9*b**2. Is w(-2) a multiple of 4?
False
Suppose -23*z = -8*z - 7245. Does 21 divide z?
True
Let t(v) = -v**3 + 3*v**2 + 2*v - 6. Let h be t(-5). Suppose -w = 3*w - h. Let j = w - 27. Is j a multiple of 19?
True
Let l(v) = 92 + v**2 + 5*v**3 - 91 + 0*v**2. Is l(2) a multiple of 35?
False
Suppose -5*l + 555 - 145 = -3*z, 0 = z + 4*l + 148. Let f = 34 - z. Does 14 divide f?
False
Suppose -4*u - 368 = -4*f, -4*u = f - 56 - 16. Is f a multiple of 11?
True
Suppose -b + 5 + 108 = -2*f, -2*f = -4*b + 422. Suppose 197 = 4*w - 0*w + 5*j, -2*w - j + b = 0. Does 6 divide w?
False
Suppose -3*m = -h + 54, 4*h = m - 3*m + 160. Is 3 a factor of h?
True
Let r(b) be the third derivative of b**4/12 - 4*b**3/3 - b**2. Does 4 divide r(6)?
True
Let r(b) = 3*b**2 - 3*b - 8. Suppose -6*n + 0 = -24. Does 14 divide r(n)?
True
Let u = 10 - 10. Suppose n - 5*n + 260 = u. Is n a multiple of 12?
False
Let u(v) = 2*v**2 - 12*v + 3. Let r be u(7). Does 12 divide ((-3)/(-6) + 0)*2 + r?
False
Suppose 497*w - 1664 = 489*w. Does 16 divide w?
True
Suppose 25 = 2*d - 7*d, 0 = -h + d + 28. Does 2 divide h?
False
Let q be 4 + -3 + 3 + -6 + -32. Let c = q - -72. Is 20 a factor of c?
False
Let p = -18 + 27. Let c be (10/(-15))/((-2)/p). Is 1/(-1) + (50 - c) a multiple of 10?
False
Let i be -3 - -3 - -2 - -2. Let x(d) = 3*d**2 - 2*d. Is 7 a factor of x(i)?
False
Let b = 7 + -5. Suppose 188 = 5*g + 3*k, -31 + 103 = b*g + 2*k. Is 16 a factor of g?
False
Does 11 divide (2/4)/(45/49500)?
True
Let b be (0 + (3 - -3))*2. Suppose 3*n - n = b. Suppose 0 = -n*a + 2*a + 52. Is 4 a factor of a?
False
Suppose -5*q - 379 = -939. Suppose 3*j + 2*a = -17 + q, 0 = -2*j + 5*a + 57. Is 7 a factor of j?
False
Let f = 172 - 179. Suppose 0 = 7*c - 2*c + 10. Let m = c - f. Is m a multiple of 3?
False
Let a(n) = n**3 - 17*n**2 + 17*n - 21. Let q be a(16). Does 28 divide 111/(-6)*q/(15/6)?
False
Let x be 6/(3/(-816)*2). Let w be (-6)/(-4)*x/(-18). Is (-15)/(-45) - w/(-3) a multiple of 4?
False
Suppose 3*d = 2*i - 2043, -5*i + 10*d = -3*i - 2022. Does 19 divide i?
True
Suppose -r = -3, 5*z - r + 19656 = r. Suppose 10 = 2*s + 3*p, 0 = -3*p + 5*p - 4. Does 12 divide z/(-54) + s/9?
False
Suppose q = -4*m + 250 + 61, 2*m - q = 157. Let a be (0 - 1) + 0 + 1. Suppose 0 = -2*w - 0*u - u + 45, -3*w - 5*u + m = a. Does 15 divide w?
False
Let y be 700/6 - (-3)/9. Suppose -v = 2*v - y. Suppose -5*b = -v - 101. Does 9 divide b?
False
Let q be (1 + (-5)/2)/((-13)/(-26)). Is 24 a factor of (q + -1)/((-12)/144)?
True
Suppose 1 = -t + 6. Suppose -10 = t*u + 7*b - 2*b, 0 = -3*u + b + 10. Suppose -u*y - 16 + 190 = 0. Does 29 divide y?
True
Let j(m) = -13*m**3 - 2*m**2 - 2*m - 1. Let t be j(-2). Suppose -3*r + 30 = 3*g, -r + 3*g + 26 = 8*g. Suppose -5*n + t = -r. Is n a multiple of 7?
True
Suppose -996*b + 997*b = 1078. Does 7 divide b?
True
Suppose 0 = -2*d + 4*o + 79 + 55, -5*o + 161 = 2*d. Suppose -5*g + 4*j = -0*g - 337, g + 2*j - d = 0. Is g a multiple of 10?
False
Let h(b) = -b - 16. Let j be h(-10). Let g be j/(-4) + (-18)/(-12). Is 1119/12 + g/(-12) a multiple of 12?
False
Let j(d) = -9*d**3 - d**2 + 2*d + 3. Let r be j(-1). Let b(c) = c + 6 + 2*c + 2*c. Is b(r) a multiple of 12?
False
Let v(b) = b + 7. Let x be v(-5). Suppose -2*w - 43 = -p - 7*w, 3*w - 39 = -p. Suppose -t + x*t - p = 0. Is t a multiple of 8?
False
Suppose -3*y - 4*t + 107 = 0, 2*y - 97 = t - 11. Suppose -22 - y = -7*r. Does 9 divide r?
True
Let a be (4 - 1)*28/42. Suppose -4*s + 203 = -v - 186, -a*s + 2*v = -196. Does 14 divide s?
False
Let l(f) = 3*f + 15. Let c be (-1 + 37)*11/33. Let w be 92/c + (-2)/(-6). Does 9 divide l(w)?
False
Let b = 66 + -67. Let n(p) = 76*p + 4. Let i(s) = 114*s + 6. Let h(g) = 5*i(g) - 8*n(g). Does 9 divide h(b)?
True
Suppose 3*z = 4*z - 7. Suppose -z - 4 = -g. Let d = g - -17. Is d a multiple of 10?
False
Let a = 155 + -30. Does 10 divide a?
False
Let v(z) = z**3 + 19*z**2 + 16*z + 54. Does 17 divide v(-16)?
False
Suppose -4 = -2*h, 4*x - 5*h - 2568 + 730 = 0. Does 11 divide x?
True
Let q be (5 + 4/4)*26. Let r = 283 - q. Does 24 divide r?
False
Let r(x) = -13*x - 46. Let p be r(-14). Suppose 344 = 15*f - p. Is f a multiple of 15?
False
Suppose -3*t = -0*t. Suppose t = 22*z - 27*z + 440. Is 8 a factor of z?
True
Suppose 0 = 2*b - v - 4172, 5*b - 2*v - 8369 - 2060 = 0. Is 86 a factor of b?
False
Suppose 4*h - 32 = 4*k - 0*k, -3*h = 3*k. Suppose 78 = h*a + a - 2*l, 5*a = 5*l + 90. Is 6/14 + 806/a a multiple of 29?
True
Let b(h) = 8*h + 6. Let v be b(9). Suppose -19*c + v = -16*c. Is c a multiple of 19?
False
Let q = 137 + 27. Suppose -q - 53 = -7*n. Is n a multiple of 22?
False
Let x(w) = w**3 - 4*w**2 + 3*w + 3. Let u be x(4). Suppose 0 = -2*l + u + 43. Is 6 a factor of l?
False
Suppose -5*b + 45 = 140. Let f = b - -28. Is 4 a factor of f?
False
Let s = -17 - -21. Suppose o = -2*o + s*i + 85, 0 = -2*o + i + 60. Is o a multiple of 7?
False
Suppose 48 = -56*b + 60*b. Suppose r - 6 - b = 0. Is 4 a factor of r?
Fal | {
"pile_set_name": "DM Mathematics"
} |
centuries in millennia?
580.6517
What is 26198.88 meters in millimeters?
26198880
How many kilograms are there in 57/2 of a tonne?
28500
Convert 924760.1ml to litres.
924.7601
Convert 16396.4nm to micrometers.
16.3964
What is 7097856.3 milliseconds in hours?
1.97162675
How many centimeters are there in 1/20 of a meter?
5
How many kilometers are there in 424.4591 centimeters?
0.004244591
How many millilitres are there in six fifths of a litre?
1200
Convert 84.54843 millennia to centuries.
845.4843
How many grams are there in 6/5 of a kilogram?
1200
What is three tenths of a week in minutes?
3024
What is 965682.3 millilitres in litres?
965.6823
Convert 43.8948 decades to centuries.
4.38948
How many centuries are there in 1760067.9 months?
1466.72325
Convert 21568.74 micrograms to milligrams.
21.56874
What is 5164.215g in tonnes?
0.005164215
What is seven eighths of a litre in millilitres?
875
What is fourty-five halves of a day in minutes?
32400
How many months are there in 42448.56 decades?
5093827.2
How many minutes are there in fourteeen ninths of a day?
2240
What is thirty-four fifths of a kilometer in meters?
6800
How many days are there in 12667.3497us?
0.00000014661284375
How many millilitres are there in 14803.6 litres?
14803600
What is 5/8 of a day in seconds?
54000
What is 5.840462 grams in nanograms?
5840462000
How many tonnes are there in 0.0049522ug?
0.0000000000000049522
How many millimeters are there in 18.45139km?
18451390
What is twenty-five eighths of a litre in millilitres?
3125
How many minutes are there in 3/8 of a week?
3780
What is 162.174mg in grams?
0.162174
Convert 5.36637 grams to nanograms.
5366370000
Convert 0.846716 days to seconds.
73156.2624
How many millilitres are there in 5/8 of a litre?
625
How many nanograms are there in 87/2 of a microgram?
43500
Convert 2674560.6 nanoseconds to minutes.
0.00004457601
What is 74.5783ml in litres?
0.0745783
What is 0.0505392 weeks in nanoseconds?
30566108160000
What is 1/5 of a litre in millilitres?
200
What is 3/40 of a second in milliseconds?
75
How many millilitres are there in 1/10 of a litre?
100
How many nanometers are there in 7819.757 micrometers?
7819757
What is 2721.217l in millilitres?
2721217
How many hours are there in 23/6 of a day?
92
Convert 734563.6l to millilitres.
734563600
What is 24143.49 millilitres in litres?
24.14349
What is fourty-eight fifths of a micrometer in nanometers?
9600
What is 77964.32 millilitres in litres?
77.96432
What is one fifth of a litre in millilitres?
200
What is 3870682.2 milliseconds in hours?
1.0751895
What is 75.21686l in millilitres?
75216.86
How many nanograms are there in 341.8399g?
341839900000
How many kilograms are there in fourty-five halves of a tonne?
22500
How many nanometers are there in 471253.4 kilometers?
471253400000000000
Convert 68.31748g to nanograms.
68317480000
How many millennia are there in 9.298321 years?
0.009298321
What is 3/40 of a litre in millilitres?
75
How many decades are there in one tenth of a century?
1
How many nanoseconds are there in 3/32 of a millisecond?
93750
What is 0.2031397 weeks in nanoseconds?
122858890560000
How many centimeters are there in 211462.2 meters?
21146220
What is 8.809185 centuries in millennia?
0.8809185
How many nanograms are there in 99.89716ug?
99897.16
What is twenty-seven quarters of a hour in seconds?
24300
How many milliseconds are there in 3/5 of a second?
600
How many millilitres are there in 1/5 of a litre?
200
How many millilitres are there in thirteen eighths of a litre?
1625
Convert 36432.15nm to centimeters.
0.003643215
What is one quarter of a minute in milliseconds?
15000
What is 1/4 of a kilometer in meters?
250
Convert 103854.582us to days.
0.000001202020625
What is 358099.4 minutes in nanoseconds?
21485964000000000
What is 0.8050774 centuries in months?
966.09288
Convert 21.82792 millilitres to litres.
0.02182792
How many years are there in one quarter of a millennium?
250
What is three fifths of a century in months?
720
What is 498144.7 hours in nanoseconds?
1793320920000000000
What is 2514.226l in millilitres?
2514226
What is 11/8 of a kilometer in meters?
1375
How many hours are there in 1.8471732 minutes?
0.03078622
How many meters are there in thirty-two fifths of a kilometer?
6400
What is 25/4 of a litre in millilitres?
6250
Convert 8.73081 hours to seconds.
31430.916
What is 799.6675um in nanometers?
799667.5
What is 12/25 of a meter in millimeters?
480
How many meters are there in 21/5 of a kilometer?
4200
How many microseconds are there in 19/4 of a millisecond?
4750
What is 10/21 of a week in minutes?
4800
How many milligrams are there in 45/2 of a gram?
22500
How many micrometers are there in 11/2 of a centimeter?
55000
How many millilitres are there in one quarter of a litre?
250
Convert 5.232642 nanometers to kilometers.
0.000000000005232642
Convert 10686.45 millimeters to meters.
10.68645
How many milligrams are there in 1824.271 kilograms?
1824271000
Convert 5041.725cm to meters.
50.41725
What is four thirds of a millennium in months?
16000
How many grams are there in eighteen fifths of a kilogram?
3600
What is 55.63201 years in centuries?
0.5563201
How many millilitres are there in 0.3421128l?
342.1128
How many hours are there in 38/7 of a week?
912
How many nanoseconds are there in 105175.8 hours?
378632880000000000
What is 4.96686ng in micrograms?
0.00496686
What is seven halves of a day in hours?
84
How many litres are there in 5.21243 millilitres?
0.00521243
Convert 68.46764 nanograms to kilograms.
0.00000000006846764
Convert 74.51118 months to decades.
0.6209265
What is 17/4 of a litre in millilitres?
4250
Convert 5658.096 millennia to months.
67897152
How many meters are there in 3/5 of a kilometer?
600
What is three eighths of a gram in milligrams?
375
What is thirty-four fifths of a meter in millimeters?
6800
What is 404.2747kg in grams?
404274.7
What is 5.217368 centuries in months?
6260.8416
Convert 6127.3 meters to kilometers.
6.1273
How many millimeters are there in 12/25 of a meter?
480
What is 13/8 of a litre in millilitres?
1625
What is nine tenths of a kilometer in centimeters?
90000
Convert 102.0113m to centimeters.
10201.13
What is twenty-one eighths of a day in hours?
63
What is 57.00428 millimeters in kilometers?
0.00005700428
How many millilitres are there in 5/4 of a litre?
1250
Convert 3.15862 kilometers to nanometers.
3158620000000
Convert 73652.88 meters to kilometers.
73.65288
How many milligrams are there in 2339.902ug?
2.339902
What is 7/2 of a litre in millilitres?
3500
How many millimeters are there in 11/2 of a centimeter?
55
How many millimeters are there in 49/5 of a meter?
9800
How many nanograms are there in 0.9919187 kilograms?
991918700000
What is seven halves of a meter in millimeters?
3500
What is 41/2 of a microgram in nanograms?
20500
What is one tenth of a litre in millilitres?
100
What is 80825.19 minutes in microseconds?
4849511400000
What is 290425.14 microseconds in minutes?
0.004840419
What is one quarter of a gram in milligrams?
250
What is 8609.116 days in minutes?
12397127.04
Convert 532.241 hours to milliseconds.
1916067600
How many nanoseconds are there in 0.6440899 minutes?
38645394000
How many millilitres are there in three eighths of a litre?
375
What is 1/10 of a microgram in nanograms?
100
How many litres are there in 970608.8 millilitres?
970.6088
How many minutes are there in fourteeen ninths of a day?
2240
What is fifty-seven fifths of a litre in millilitres?
11400
What is 4/3 of a millennium in months?
16000
How many months are there in 1/10 of a decade?
12
How many minutes are there in 9273.139 weeks?
93473241.12
What is 32402.9ug in kilograms?
0.0000324029
What is 9533.812 kilograms in tonnes?
9.533812
How many micrometers are there in eleven quarters of a millimeter?
2750
What is 11/2 of a meter in millimeters?
5500
How many nanograms are there in 3/8 of a microgram?
375
What is 833263.9 millennia in centuries?
8332639
How many micrometers are there in 0.1532981 centimeters?
1532.981
Convert 0.272594us to milliseconds.
0.000272594
How many micrograms are there in 0.6779245 grams?
677924.5
Convert 906675.1 litres to millilitres.
906675100
How many grams are there in si | {
"pile_set_name": "DM Mathematics"
} |
10:46 AM
What is 481 minutes before 10:32 PM?
2:31 PM
How many minutes are there between 2:44 AM and 12:36 PM?
592
How many minutes are there between 3:57 PM and 6:29 PM?
152
What is 391 minutes after 12:55 PM?
7:26 PM
How many minutes are there between 5:07 AM and 2:59 PM?
592
What is 485 minutes before 8:47 AM?
12:42 AM
How many minutes are there between 3:32 AM and 7:23 AM?
231
How many minutes are there between 10:04 PM and 1:47 AM?
223
How many minutes are there between 7:00 PM and 6:18 AM?
678
How many minutes are there between 7:52 AM and 7:35 PM?
703
How many minutes are there between 9:44 PM and 6:00 AM?
496
How many minutes are there between 8:18 PM and 11:09 PM?
171
How many minutes are there between 9:02 PM and 4:55 AM?
473
What is 482 minutes after 6:16 AM?
2:18 PM
What is 49 minutes before 11:57 PM?
11:08 PM
What is 398 minutes before 12:56 PM?
6:18 AM
How many minutes are there between 12:20 AM and 12:56 AM?
36
What is 502 minutes before 1:03 PM?
4:41 AM
How many minutes are there between 2:36 PM and 2:48 PM?
12
What is 341 minutes before 1:39 PM?
7:58 AM
What is 647 minutes before 11:04 PM?
12:17 PM
How many minutes are there between 6:45 PM and 4:31 AM?
586
What is 274 minutes before 12:19 AM?
7:45 PM
What is 102 minutes after 2:25 PM?
4:07 PM
How many minutes are there between 5:51 AM and 5:37 PM?
706
How many minutes are there between 5:35 PM and 10:52 PM?
317
How many minutes are there between 12:12 PM and 8:24 PM?
492
What is 706 minutes before 9:41 AM?
9:55 PM
How many minutes are there between 1:39 AM and 10:03 AM?
504
How many minutes are there between 4:28 PM and 8:23 PM?
235
What is 401 minutes before 3:01 PM?
8:20 AM
What is 707 minutes before 11:22 AM?
11:35 PM
What is 552 minutes before 2:35 AM?
5:23 PM
How many minutes are there between 4:49 PM and 8:13 PM?
204
What is 217 minutes before 1:36 AM?
9:59 PM
How many minutes are there between 5:18 AM and 4:05 PM?
647
What is 401 minutes before 3:42 PM?
9:01 AM
How many minutes are there between 10:32 PM and 5:17 AM?
405
How many minutes are there between 5:46 AM and 2:07 PM?
501
How many minutes are there between 10:52 AM and 8:24 PM?
572
What is 19 minutes before 5:28 PM?
5:09 PM
How many minutes are there between 9:03 AM and 11:18 AM?
135
How many minutes are there between 1:46 PM and 3:14 PM?
88
What is 156 minutes before 6:11 PM?
3:35 PM
What is 432 minutes after 12:50 PM?
8:02 PM
How many minutes are there between 5:22 PM and 10:42 PM?
320
What is 631 minutes before 12:25 PM?
1:54 AM
How many minutes are there between 10:25 AM and 9:44 PM?
679
What is 700 minutes before 9:59 PM?
10:19 AM
What is 386 minutes after 7:43 AM?
2:09 PM
How many minutes are there between 5:03 AM and 10:25 AM?
322
How many minutes are there between 10:27 AM and 12:24 PM?
117
What is 630 minutes after 2:58 PM?
1:28 AM
What is 104 minutes before 11:44 PM?
10:00 PM
How many minutes are there between 12:16 AM and 12:15 PM?
719
What is 416 minutes after 2:31 AM?
9:27 AM
What is 709 minutes after 9:47 AM?
9:36 PM
How many minutes are there between 10:53 AM and 2:30 PM?
217
How many minutes are there between 6:40 PM and 8:23 PM?
103
What is 667 minutes after 7:18 PM?
6:25 AM
What is 374 minutes before 2:47 PM?
8:33 AM
How many minutes are there between 8:24 AM and 11:53 AM?
209
What is 40 minutes before 11:02 PM?
10:22 PM
What is 155 minutes before 2:36 AM?
12:01 AM
How many minutes are there between 10:25 AM and 6:35 PM?
490
How many minutes are there between 11:16 PM and 6:39 AM?
443
How many minutes are there between 1:28 PM and 3:10 PM?
102
How many minutes are there between 2:06 AM and 5:43 AM?
217
How many minutes are there between 12:59 AM and 1:35 AM?
36
What is 677 minutes after 2:04 PM?
1:21 AM
What is 524 minutes before 9:14 AM?
12:30 AM
What is 584 minutes after 3:03 PM?
12:47 AM
How many minutes are there between 5:57 AM and 5:14 PM?
677
How many minutes are there between 11:37 PM and 1:08 AM?
91
What is 617 minutes before 5:32 AM?
7:15 PM
What is 145 minutes after 5:32 AM?
7:57 AM
What is 538 minutes before 6:03 AM?
9:05 PM
How many minutes are there between 6:01 AM and 1:47 PM?
466
What is 504 minutes before 4:13 PM?
7:49 AM
What is 685 minutes before 4:00 PM?
4:35 AM
How many minutes are there between 1:49 AM and 4:24 AM?
155
What is 402 minutes before 7:27 AM?
12:45 AM
How many minutes are there between 9:40 PM and 5:32 AM?
472
How many minutes are there between 8:30 PM and 7:48 AM?
678
How many minutes are there between 7:52 AM and 2:19 PM?
387
What is 646 minutes after 8:05 PM?
6:51 AM
How many minutes are there between 11:41 PM and 8:21 AM?
520
What is 337 minutes after 4:04 AM?
9:41 AM
What is 416 minutes after 9:14 AM?
4:10 PM
How many minutes are there between 4:42 AM and 7:35 AM?
173
What is 139 minutes after 2:29 AM?
4:48 AM
What is 36 minutes before 2:49 PM?
2:13 PM
What is 481 minutes before 10:16 PM?
2:15 PM
How many minutes are there between 4:43 AM and 2:11 PM?
568
What is 526 minutes before 10:19 PM?
1:33 PM
What is 250 minutes before 11:04 PM?
6:54 PM
What is 458 minutes after 8:42 AM?
4:20 PM
What is 246 minutes after 10:57 PM?
3:03 AM
How many minutes are there between 8:17 PM and 9:07 PM?
50
How many minutes are there between 1:13 AM and 11:57 AM?
644
How many minutes are there between 1:50 PM and 3:20 PM?
90
What is 371 minutes before 5:09 AM?
10:58 PM
How many minutes are there between 2:08 AM and 1:15 PM?
667
What is 110 minutes before 12:18 PM?
10:28 AM
How many minutes are there between 5:18 AM and 3:43 PM?
625
What is 92 minutes after 4:00 AM?
5:32 AM
How many minutes are there between 8:54 PM and 2:49 AM?
355
How many minutes are there between 10:21 AM and 11:59 AM?
98
How many minutes are there between 3:12 PM and 1:03 AM?
591
How many minutes are there between 9:50 AM and 11:34 AM?
104
How many minutes are there between 4:12 AM and 12:49 PM?
517
How many minutes are there between 1:21 AM and 2:12 AM?
51
How many minutes are there between 3:35 AM and 5:52 AM?
137
What is 107 minutes after 11:54 AM?
1:41 PM
What is 341 minutes before 6:11 AM?
12:30 AM
What is 171 minutes after 6:11 AM?
9:02 AM
What is 691 minutes after 3:33 AM?
3:04 PM
What is 572 minutes before 3:33 AM?
6:01 PM
How many minutes are there between 4:58 AM and 4:26 PM?
688
What is 556 minutes after 6:57 PM?
4:13 AM
How many minutes are there between 9:00 PM and 7:43 AM?
643
What is 374 minutes before 3:52 PM?
9:38 AM
What is 589 minutes before 5:33 AM?
7:44 PM
What is 132 minutes after 9:36 PM?
11:48 PM
What is 286 minutes before 8:38 PM?
3:52 PM
How many minutes are there between 9:38 AM and 7:20 PM?
582
How many minutes are there between 6:37 PM and 11:41 PM?
304
What is 664 minutes after 2:38 PM?
1:42 AM
What is 181 minutes before 2:41 AM?
11:40 PM
How many minutes are there between 3:26 PM and 8:05 PM?
279
How many minutes are there between 1:40 PM and 9:19 PM?
459
What is 372 minutes after 7:21 PM?
1:33 AM
How many minutes are there between 9:55 AM and 6:54 PM?
539
How many minutes are there between 1:56 PM and 4:34 PM?
158
What is 539 minutes after 8:18 AM?
5:17 PM
What is 646 minutes before 2:13 AM?
3:27 PM
What is 690 minutes after 12:04 PM?
11:34 PM
What is 354 minutes before 12:03 PM?
6:09 AM
How many minutes are there between 2:38 PM and 7:29 PM?
291
How many minutes are there between 11:18 PM and 12:48 AM?
90
How many minutes are there between 10:09 PM and 7:25 AM?
556
What is 25 minutes before 4:51 AM?
4:26 AM
What is 49 minutes before 10:48 AM?
9:59 AM
How many minutes are there between 7:07 AM and 12:27 PM?
320
How many minutes are there between 4:27 PM and 10:53 PM?
386
How many minutes are there between 1:15 PM and 11:25 PM?
610
What is 40 minutes before 2:58 AM?
2:18 AM
How many minutes are there between 3:53 PM and 8:55 PM?
302
How many minutes are there between 3:09 AM and 6:32 AM?
203
What is 102 minutes before 6:29 AM?
4:47 AM
How many minutes are there between 8:31 AM and 9:27 AM?
56
How many minutes are there between 9:26 PM and 4:25 AM?
419
How many minutes are there between 8:06 PM and 12:19 AM?
253
What is 597 minutes after 11:17 PM?
9:14 AM
How many minutes are there between 5:19 PM and 3:16 AM?
597
What is 360 minutes before 8:05 AM?
2:05 AM
How many minu | {
"pile_set_name": "DM Mathematics"
} |
-4*s - 20. Which is the closest to -2/3? (a) t (b) d (c) 2
a
Let y be ((-2)/30)/((-10)/(-25)). Let v be 1 + (-6)/8 + -1. What is the nearest to 2/11 in 4, v, y?
y
Suppose -19 + 3 = 8*v. Which is the closest to -1/4? (a) 5 (b) 0.06 (c) v
b
Let y = -5.5 - -5. Let i = 0 + -0.1. Let o = i - -0.2. Which is the closest to o? (a) y (b) 4 (c) 0
c
Let k be (1/10)/(2/4). Let u be (-1)/(-6) + (-11)/(-6). Suppose -4*q = -2*s - 8, -u = -4*s + q - 2*q. Which is the closest to s? (a) 0 (b) k (c) 2/11
a
Let w = -12 - -10. Let a be -2*-1*1/w. What is the nearest to a in -2/9, -5, 3/5?
-2/9
Let a = 1 - 0.9. Let v = 39/8 + -33/8. Let q = -3/4 - v. What is the closest to a in -3, q, -4?
q
Let m = 95 - 94. Which is the closest to m? (a) -2 (b) 3 (c) 4/5
c
Let t = -3/5 + 4/5. Which is the closest to 0.1? (a) t (b) 5 (c) -2/11
a
Let z = 6.2 + 0.8. Let p = z + -6. Let i = p + -1.4. What is the nearest to -1 in i, -4, 1/4?
i
Let l = 7.4 + -8. Let n = l - 2.4. Which is the closest to 2/7? (a) n (b) -5 (c) -4
a
Let p be 2/(-24) + 2/6. Let j = -14 - -19. Suppose c = -j, 9 = q + 2*c + 24. What is the closest to p in -0.2, q, -2?
-0.2
Suppose 2*y = 7*y - 50. Let n = -41/4 + y. What is the closest to -1 in n, -3/2, -0.3?
-3/2
Let s(t) = -2*t**2 - 7*t - 4. Let k be s(-3). Which is the nearest to k? (a) 4/5 (b) 5 (c) 3
a
Let k = 0.34 - -0.06. Let m = -0.3 + k. Suppose 4*v - 3 = -4*h - 7, 0 = 4*h + 5*v + 1. Which is the closest to m? (a) 2 (b) 0 (c) h
b
Let p be (10/(-25))/(14/10). Let r = 1 + -5. What is the closest to p in 2/3, r, 0?
0
Let q(z) = -3 + 0 + z + 2. Let s be q(-4). Let c = -0.8 - -4.8. What is the nearest to 1 in s, -0.5, c?
-0.5
Let a = 14 + -18. What is the nearest to 0 in -1/2, 3, a?
-1/2
Let y(k) = 4*k + 1. Let g(m) = -2*m - 1. Let r(z) = -5*g(z) - 2*y(z). Let h be r(-3). Which is the closest to -1? (a) -1 (b) 0.2 (c) h
a
Let o = -88 - -87. What is the closest to 0.1 in -2, o, 10?
o
Let d = 7.5 + -7. Which is the nearest to -2/3? (a) 5 (b) 0.1 (c) d
b
Let y = -9 - -13. Let i be (-60)/9 + y/6. Let t = 5 + i. Which is the closest to 0.2? (a) -5 (b) t (c) -1/6
c
Let j = 6 - 4. Let d = -0.084 - -0.384. Which is the nearest to j? (a) 2 (b) -1 (c) d
a
Suppose 0 = 5*j - 4*f + 20 - 4, 0 = 2*j + f + 9. Let p = 585 - 583. Which is the closest to p? (a) -2/19 (b) -1 (c) j
a
Let l = 76/3 - 25. Let w be (-16)/(-10) + 18/(-30). Which is the closest to w? (a) -0.4 (b) l (c) 5
b
Let y = 47 - 49. Which is the nearest to 2/5? (a) y (b) -0.1 (c) 2/11
c
Let o = 4 + -6. Let t(k) = -k**3 + 6*k**2 + 8*k - 7. Let v be t(7). Let c = 3 + -3. What is the closest to v in o, c, -5?
c
Let k be 2/(-14)*(-13 - -14). Which is the nearest to 2? (a) k (b) -3 (c) 0
c
Let u = -97 + 96.9. Which is the nearest to u? (a) 6 (b) 4 (c) 0
c
Let y = 0.37 - 0.07. Let m = 0.3 - y. Let n = -91 - -457/5. Which is the closest to n? (a) -0.5 (b) 5 (c) m
c
Let z = -12 - -6. Let g = 6.5 + z. Which is the closest to 0? (a) g (b) 1 (c) 5
a
Suppose -w = -8 + 5. Let t(u) = 15*u + 1. Let b be t(-1). Let p be 4/b*(-1)/(-3). What is the closest to 2/9 in -3, w, p?
p
Let n = -0.3 - 0.1. Let k = n + -0.1. Which is the nearest to 0? (a) 0.1 (b) 3/2 (c) k
a
Let y = 8/17 - -1/34. Which is the nearest to 1? (a) y (b) 5 (c) -0.1
a
Let t = 0.4 - 0.3. Let g = 0.8 - 1.8. What is the nearest to t in g, 2/13, 5?
2/13
Let i = -2.62 - 12.68. Let j = i - -15. Let z be -2 - (-13)/4 - 1. Which is the nearest to z? (a) -5 (b) 1 (c) j
c
Let x = 39.7 + -42. Let l = 0.7 - x. Let w = -14/57 + 3/38. What is the nearest to 0.1 in w, -0.3, l?
w
Let r = -8.3 - 0.7. Let d = -35 - -28. Let t = r - d. Which is the closest to -1? (a) t (b) -0.2 (c) 3
b
Let y = 0 - -0.1. Let m = -5 + 2. Let t = -73 + 72.9. Which is the closest to -1? (a) m (b) t (c) y
b
Let g = -5.862 + 0.062. Let v = 6 + g. Let z = -2 + 2.1. What is the closest to 0 in 3, z, v?
z
Let f = 221.3 - 221. Which is the nearest to 2/9? (a) f (b) 0.4 (c) 2
a
Let k = 7 - 10.8. Let s = -0.2 + k. What is the closest to 0.3 in -1/7, s, -0.2?
-1/7
Let i = 36/19 - 290/133. Let k be (0 - 5)*8/(-10). Suppose -11 = v + k*o, 0 = -3*v - 0*v + o + 6. What is the closest to v in 1/2, -3/4, i?
1/2
Let v = -792 - -797.19. Let u = -0.19 + v. Which is the closest to 0.1? (a) 1/2 (b) -5 (c) u
a
Let m = -53 - -51. What is the closest to 2 in m, 0.1, -0.1?
0.1
Let l = -0.3 - -1.3. Let u = 10 - 6. Let z = 4 - u. Which is the closest to z? (a) l (b) -2/13 (c) 0.4
b
Let l = 13 + -12. What is the nearest to l in -3/4, -3/5, 2?
2
Let r be (-2 + 3/2)*-48. Let b be 1 - -1 - r/9. Let l = -2 - -1. What is the nearest to l in -4, b, -5?
b
Let h = 14.5 - 14. What is the closest to 1/5 in -0.5, h, -2?
h
Let o = 0.34 + -0.4. Let x = o + -0.34. Which is the closest to 0? (a) 0 (b) x (c) -5
a
Let m(l) = -l**2 + 4*l + 13. Let n be m(6). What is the nearest to 2/7 in -0.3, n, 5?
-0.3
Let h = 0.103 - 0.303. Which is the closest to 0? (a) 2/3 (b) h (c) 0.1
c
Let b = 0.05 + -0.55. Let u = -0.06 - -0.56. What is the nearest to 0.1 in 2, b, u?
u
Let r = 3 - 2. Let q(o) be the third derivative of -o**4/24 + 2*o**3/3 - 2*o**2. Let s be q(4). Which is the nearest to r? (a) -1 (b) s (c) -0.5
b
Let p = -0.5 - -0.4. Which is the nearest to p? (a) -3 (b) 0 (c) -1
b
Let k = -3 - -2.6. Let u be 1*1/(-7)*2. Let q(i) = -i + 7. Let a be q(3). What is the closest to u in 1, k, a?
k
Let f(k) = -k**2 + k + 2. Let d be f(2). Let m = 6 - 10. Let r(p) = -p**2 - 6*p - 9. Let v be r(m). What is the nearest to -0.1 in -0.5, d, v?
d
Let q = -16 + 14. Which is the nearest to 1? (a) 2 (b) -5 (c) q
a
Let t = -2.3 - 2.7. Let n = 4.2 + -0.2. What is the closest to -1/4 in -3/8, n, t?
-3/8
Let o = 6.9 - 6. Let v = o - 0.4. Let s be (24/90)/(4/10). What is the closest to 2 in s, 5/3, v?
5/3
Let y = -788 - -782.77. Let s = y + 0.23. Which is the nearest to -4? (a) 0 (b) s (c) 2
b
Let d(k) = k**3 + 4*k**2 - 9*k + 1. Let y be d(-7). Let b be 2/(-18)*-13*-57. Let x = b - y. What is the nearest to 0 in 5, -1/9, x?
-1/9
Let a = -109 + 107. Let d = -1.1 - -1. What is the closest to d in -0.1, -5, a?
-0.1
Let o = -3 + 6. Let p = 4.7 + -3.7. Which is the nearest to p? (a) -2 (b) -0.5 (c) o
b
Let x = 33 - 50. Let k = x - -17.1. Which is the nearest to k? (a) -0.2 (b) 0 (c) -4
b
Let y be (14 - 12) + (-2 + -3 - 0). Which is the closest to 0? (a) -2/17 (b) 5 (c) y
a
Let d = 14 - 14.3. Let j = -1 - 0. Let m = 0.01 + -0.21. Which is the nearest to j? (a) d (b) -0.1 (c) m
a
Let z = 2.16 + -1.16. Which is the nearest to 2? (a) 2 (b) -2/9 (c) z
a
Let j = 2047 - 114645/56. Let o = 3/8 + j. Which is the closest to -1? (a) o (b) 0 (c) -0.4
c
Let g = 43 - 38. Which is the closest to -3? (a) -2 (b) g (c) 0
a
Let j be 1438/14 - (2 - 1). Let l = j + -102. What is the nearest to l in -2/21, -4/3, -2?
-2/21
Let n(x) = x**3 - 19*x**2 + 17*x + 22. Let j be n(18). Suppose -y - j*r = -4*y + 5, 5*y = -2*r - 9. Which is the nearest to 2? (a) 2/11 (b) y (c) -2
a
Let t = 3 + -2.98. Let z = -93 + 94. Which is the nearest to z? (a) 4 (b) t (c) 3
b
Let d = 17.02 + -17. Which is the nearest to 0.1? (a) d (b) -5 (c) 1/4
a
Let v = 2/11 - -3/44. Which is the nearest to 2/7? (a) -10 (b) -3/7 (c) v
c
Let r = 0.35 + -0.55. Which is the closest to r? (a) -1 (b) -4/5 (c) 0.2
c
Let p(u) = -u - 6. Let t(l) = l**2 + 8*l - 2. Let x be t(-7). Let d be p(x). Which is the nearest to 0.1? (a) 5 (b) 1 (c) d
b
Let o = -2.8 + 3. Let u = 134 - 668/5. Which is the nearest to 2? (a) u (b) o (c) 0.5
c
Let b = 0 - -3. What is the nearest to b in -4, -0.4, 1/6?
1/6
Let o be (-19)/45 + (-4)/(-20). Let y = 0.019 - -9.281. Let n = y + -9. What is the nearest to n in o, -5, 2/17?
2/17
Let n = -8 - -1. Let j = 0.6 - -4.4. Let a = j + n. What is the nearest to 1 in -2/5, -2/15, a?
-2/15
Let g = -0.3 - 0.7. Let r = -198 - -197.7. Let i = 4 - 7. What is the closest to g in i, r, -2/7?
r
Let y = 7.07 + -7. Let j = y - 0.47. Suppose r = 4*r. Which is the nearest to 0.1? (a) r (b) j (c) -0.2
a
Let t = 7 + -4. Which is the nearest to -1/3? (a) 0 (b) t (c) -0.5
c
Let f be (5 - 47/9)/((-2)/3). Which is the nearest to 0? (a) f (b) 5/4 (c) 0
c
Suppose -5*p - 3 = -13. Suppose p*q + | {
"pile_set_name": "DM Mathematics"
} |
3?
3
Which is bigger: -0.0217 or -4?
-0.0217
Is -4/1223 at least -1?
True
Do -4 and -15 have different values?
True
Do -201 and -188 have different values?
True
Which is bigger: -18 or -72?
-18
Is 137/12 smaller than 11?
False
Is -8/1035 < 0?
True
Is -0.2 greater than or equal to -214?
True
Which is greater: -93 or -94?
-93
Is 797 at least as big as -5?
True
Which is smaller: 0 or -225/259?
-225/259
Which is smaller: -10 or 6?
-10
Which is smaller: -163 or -28?
-163
Which is bigger: -165 or -0.1?
-0.1
Is -7 at most as big as -168/25?
True
Is -2/54603 >= -1?
True
Which is smaller: -4 or -6?
-6
Which is bigger: 22 or 23?
23
Is -1 not equal to 2/11955?
True
Is -70 >= -65?
False
Which is smaller: 9 or 305/32?
9
Are -7/267 and -1 equal?
False
Which is bigger: 203 or 208?
208
Is 17/27 less than or equal to 1?
True
Are -148 and -150 non-equal?
True
Is -3300 at least as big as -3311?
True
Which is bigger: -2617 or -2619?
-2617
Is -5/22 at most 1?
True
Which is smaller: 323 or 322?
322
Which is smaller: -1 or 1/11?
-1
Which is greater: 3/14309 or -1?
3/14309
Which is smaller: 775 or 759?
759
Is -402 not equal to -402?
False
Is -1332/11 bigger than -120?
False
Which is bigger: -1/7261 or 1?
1
Do 178 and 179 have different values?
True
Which is smaller: 0 or 3/4694?
0
Which is smaller: 4/4137 or 0?
0
Do 19262/3 and 6420 have different values?
True
Which is smaller: 158 or 155?
155
Which is greater: -0.17 or -1/4?
-0.17
Is 1 at least as big as 17246?
False
Which is smaller: 1 or 9/263?
9/263
Is 4/475 equal to 0?
False
Which is greater: 2240 or -0.1?
2240
Is 55 bigger than 35?
True
Which is smaller: -2/13363 or 1?
-2/13363
Which is greater: -4554 or -4553?
-4553
Which is smaller: 1 or 35/78?
35/78
Which is smaller: -0.112 or 0.077?
-0.112
Which is bigger: -3/62 or 0?
0
Is 0.2 less than 26?
True
Is 2/143 bigger than -4/5?
True
Is -95 at least as big as -98?
True
Which is smaller: -4 or 142?
-4
Is 0 at most as big as -1/10422?
False
Is 51/664 >= 0?
True
Which is greater: -17.7 or 73?
73
Which is smaller: 17 or 19?
17
Which is bigger: -8/167 or -1?
-8/167
Do 31/67 and 1 have different values?
True
Is -4/77 equal to -2/7?
False
Which is smaller: 514 or 516?
514
Which is smaller: -86 or -81?
-86
Is -107 greater than -26?
False
Which is smaller: 1/208 or 10?
1/208
Is 0.1 greater than or equal to 45/16?
False
Which is bigger: 8643 or 8644?
8644
Which is greater: 53/56 or 0?
53/56
Which is smaller: 0.1029 or 0.2?
0.1029
Which is smaller: -867 or -863?
-867
Is 0 smaller than -3/12071?
False
Which is greater: 2/3 or -584?
2/3
Is 2901 greater than 2899?
True
Which is greater: 3483 or 3479?
3483
Is 12587 greater than 12589?
False
Is -53 at most as big as -77?
False
Is 38 bigger than -70?
True
Is -16 > 1/2?
False
Are 136 and 117 nonequal?
True
Which is greater: -136 or -137?
-136
Is -1 <= -6/695?
True
Is -420/19 less than or equal to -22?
True
Which is smaller: 0 or -2/205?
-2/205
Is -270 at most as big as -2?
True
Which is smaller: -1 or -57?
-57
Is 486 smaller than -2?
False
Do -421/27 and -15 have the same value?
False
Which is smaller: 138 or 5.2?
5.2
Which is smaller: -135 or -134?
-135
Which is bigger: -1.1 or 43?
43
Which is smaller: -0.36 or 39?
-0.36
Are 7848 and 7848 equal?
True
Which is smaller: 2649 or 2651?
2649
Which is smaller: 143 or 89?
89
Which is smaller: 0.1 or -55132?
-55132
Which is bigger: -0.2 or -78?
-0.2
Is 11513 > 11515?
False
Is -34371 at most -34370?
True
Is -134 != -134?
False
Is -0.1 less than -4701?
False
Which is greater: 1 or -3/32?
1
Which is smaller: 15 or 2/27?
2/27
Which is greater: 33/2 or 17?
17
Which is greater: -1 or -5/1491?
-5/1491
Is 17.84 bigger than 1?
True
Which is smaller: -1/3 or -0.01?
-1/3
Do 0.745 and -1 have the same value?
False
Which is greater: -101 or -100?
-100
Which is greater: -64 or -391/6?
-64
Are 3/5 and 4.9 nonequal?
True
Which is smaller: 3 or 232?
3
Which is greater: 36 or -211?
36
Which is greater: 2/13 or -52?
2/13
Which is smaller: -4/3 or 0.0043?
-4/3
Which is greater: -962 or -971?
-962
Is 19236 > 19235?
True
Which is smaller: -35/13 or -2?
-35/13
Is -0.1 at most -290?
False
Which is smaller: 2838 or -0.3?
-0.3
Is 7/1241 <= -1?
False
Which is greater: 1 or -16/957?
1
Is 44 <= 45?
True
Which is smaller: 47/18 or 4?
47/18
Is -0.1 greater than -9201?
True
Which is greater: -1 or -6/15793?
-6/15793
Which is greater: 9/743 or -2/5?
9/743
Which is smaller: -134 or -121?
-134
Is -8455 > -8452?
False
Does -2364 = -2363?
False
Which is greater: -625 or -618?
-618
Is -7/11 greater than or equal to -2?
True
Is 192/49 greater than 4?
False
Which is bigger: -122 or -123?
-122
Is 221 < 239?
True
Which is smaller: -294 or -300?
-300
Are 0 and -22/1007 nonequal?
True
Which is smaller: -0.3 or 45?
-0.3
Is 59 greater than 64?
False
Which is greater: 0.1 or -53.5?
0.1
Which is smaller: 329 or 331?
329
Which is bigger: 2/1475 or 1?
1
Is -23 at most as big as -40?
False
Do 0.1 and -107 have the same value?
False
Are 395 and 389 unequal?
True
Which is smaller: 2 or 18.9?
2
Which is bigger: 5/207 or -1?
5/207
Which is smaller: -104 or -105?
-105
Is -2/2589 equal to 0?
False
Which is bigger: 793 or 807?
807
Do -7 and 13 have the same value?
False
Which is smaller: 397/4 or 98?
98
Is -1/18 smaller than 39/7?
True
Which is smaller: 3/23 or 1/337?
1/337
Which is smaller: 20 or 5?
5
Is 212 smaller than -0.2?
False
Which is bigger: -1 or 1/2574?
1/2574
Which is smaller: -164/3 or -54?
-164/3
Which is bigger: -2/717 or -1?
-2/717
Which is bigger: -7/23 or 1/2?
1/2
Which is smaller: -21 or -39?
-39
Which is smaller: 1 or 1/12763?
1/12763
Is 2491 <= 4983/2?
True
Which is smaller: 2 or -1/6311?
-1/6311
Is 3 smaller than 6?
True
Which is smaller: 1 or 2/3869?
2/3869
Which is smaller: -116/23 or -6?
-6
Is 408 at most 404?
False
Which is smaller: 1397 or 1388?
1388
Is 2 > 30/43?
True
Is 5/7793 at most -1?
False
Which is bigger: -3/137 or 2?
2
Is 11646 bigger than 11645?
True
Is -866/47 > -18?
False
Which is bigger: 3 or 109/31?
109/31
Is -68 smaller than -62?
True
Which is greater: -3/1223 or 1?
1
Are 2/119 and 17/14 nonequal?
True
Is -13228 smaller than -13228?
False
Which is greater: -5/1659 or 0?
0
Is 2/2059 < 0?
False
Which is bigger: -91 or -94?
-91
Is 3.6 > 148?
False
Is 121 greater than or equal to 121?
True
Which is smaller: -59 or -58?
-59
Do 461/39 and 11 have different values?
True
Is 2 >= 49/20?
False
Is -74 at most -510/7?
True
Which is smaller: -2/97 or -0.3?
-0.3
Which is smaller: 488 or 485?
485
Is -3272 < -2/5?
True
Which is bigger: 0 or -3/74?
0
Is -2654 <= -2653?
True
Which is smaller: -19 or 365/2?
-19
Do 110/23 and 4 have different values?
True
Which is greater: 628/47 or 12?
628/47
Which is bigger: 757 or 0.1?
757
Do 41 and 83/2 have different values?
True
Which is smaller: 1 or 7/26?
7/26
Which is bigger: 18 or -9?
18
Which is greater: 8421 or 8420?
8421
Is 379/19 at most 20?
True
Which is smaller: 2/3 or -452?
-452
Is -276 < -282?
False
Is 1 < 7/320?
False
Is 171 > 155?
True
Is -1/127 less than 0?
True
Is 2406 < 2405?
False
Which is smaller: 0 or 70/87?
0
Does -1 = -1/26795?
False
Which is smaller: -1 or 13/720?
-1
Is -1 < -2/1295?
True
Is 0 less than 5/1159?
True
Which is smaller: -312/5 or -63?
-63
Is -17 at least as big as -22/3?
False
Is 1/345 > 1?
False
Which is smaller: -26 or 0.0912?
-26
Is 277 < 3?
False
Which is greater: -363 or -364?
-363
Is 557 < 561?
True
Which is smaller: -68/3 or -46/5?
-68/3
Is 425 equal to 428?
False
Which is bigger: -2700/13 or -208?
-2700/13
Which is smaller: -251 or -255?
-255
Is -2/13 > 4/723?
False
Which is greater: 4566 or 4565?
4566
Is -9.2 <= -52?
False
Which is smaller: -1 or 2/721?
-1
Which is smaller: 13 or -1/4?
-1/4
Which is smaller: -3.5 or -0.2?
-3.5
Which is bigger: 4/1317 or -1?
4/1317
Is -1 < 12/103?
True
Which is greater: 28 or 809/29?
28
Which is bigger: 263 or 2/5?
263
Does -4 = 1229/2?
False
Is -5 greater than or equal to -140/29?
False
Which is smaller: -593 or -594?
-594
Which is smaller: -6/91 or 1?
-6/91
Which is greater: -26291 or -26290?
-26290
Is 232 at least as big as 221?
True
Is 1 <= 11/37?
False
Which is smaller: -13599 or -13598?
-13599
Which is bigger: -34 or -38?
-34
Is -3/14 smaller than 18?
True
Which is greater: 2 or 12.9?
12.9
Is 8. | {
"pile_set_name": "DM Mathematics"
} |
= 5*n, 3*w + n + 1084 = -0*n. Let j be ((-2)/(-3))/((-16)/w). Let i = j - 16. Give l(i).
2
Let r(s) = -7*s - 21. Suppose -165*j + 1127 = 669 - 1192. Calculate r(j).
-91
Let i(j) = -j**2 - 6*j + 2. Let v be i(-6). Let l(h) = -5*h + v*h + 0 - 1 - h**2. Let o(d) = -175*d - 177. Let q be o(-1). What is l(q)?
1
Let u = 30 + -26. Let w(c) = -2 + 2*c**2 + 0 - u*c**3 + 5*c**3. Let h(a) = -4*a**3 - 9*a**2 + 9. Let s(d) = 4*h(d) + 18*w(d). Give s(1).
2
Let f(a) = 129*a**3 - 152 + 27*a**2 + 461*a - 128*a**3 - 441*a. Calculate f(-26).
4
Let l be (-2)/(-4) + (-19)/(-2). Suppose 3*z + 28 = l*z. Let v(t) = -2*t**2 + 4*t + 2. Determine v(z).
-14
Let n be ((-770)/(-99) - 4/(-18)) + -4. Let c be (n/16)/(4/(-16) - 0). Let v(k) = -12*k - 3. Let h(f) = -13*f - 4. Let z(b) = 3*h(b) - 4*v(b). Calculate z(c).
-9
Let x be 9/(-27) + 0 - (-32)/6. Let j(b) be the second derivative of 0 + 1/2*b**3 + 1/20*b**x + 16*b - b**2 - 5/12*b**4. Determine j(5).
13
Suppose -3*t + 64 = 22. Suppose -3*s + t = -7. Let c(i) be the second derivative of -i**3/3 + 5*i**2/2 - 56*i - 3. What is c(s)?
-9
Let v(j) = j**2 - 203*j + 7338. Let o be v(47). Let b(a) = -a**3 + 4*a**2 + 5*a - 2. Calculate b(o).
-44
Let v(r) = 3*r - 18*r - 4206035 + 4206290. Give v(17).
0
Let g(n) = 824*n - 209*n - 209*n - 2 - 205*n - 203*n. What is g(1)?
-4
Let s(b) be the first derivative of b**3/3 - 14*b**2 - 378*b - 3701. Determine s(-10).
2
Let l(t) = -t**3 + 9*t + 9*t + 12*t + 17*t - 11*t**2 - 54*t - 18. What is l(-11)?
59
Let a(z) = -z**3 - 1. Let s(g) = g**2 + 7*g + 6. Let x be s(-4). Let j be 4/(-10) + x/10 - 0. Let l(k) = -k**2 - 5. Let r(t) = j*l(t) + 6*a(t). Determine r(1).
-6
Let g(n) = 8*n - 24. Let s(y) = -421*y + 1272. Let r be s(3). Give g(r).
48
Suppose -6*n - r + 22 = -n, -2*n = 5*r - 18. Let m(t) = 4 - 2*t + 3 - n - 3*t**2 + t**3. Suppose -3*a = -3*h - 7 - 2, -h = -5*a + 23. Determine m(h).
-5
Let f = 317 - 295. Suppose -f = -16*p + 58. Let m(g) = -2*g + 9. Give m(p).
-1
Suppose -4*m = -5*w - 13, 3*m = -4*w - 0*w + 2. Let t(z) = 400604 - 400604 + 11*z. Determine t(w).
-11
Let q(r) = 62*r + 2165. Let i be q(-35). Let c(b) = -b**3 - 4*b**2 + 10*b + 21. Determine c(i).
-4
Let j = 22 - 18. Let m(n) = -n**2. Suppose 3*h + 2*t - 1 = 0, 10 - 3 = 4*h - 3*t. Let s(l) = -7*l**2 + 3*l - 4. Let v(g) = h*s(g) - 6*m(g). What is v(j)?
-8
Let s be (-2 + 7)*(0 - -1). Let h(r) = 7*r**2 - 6*r**2 - 6 + 5*r - 3*r - s*r. Let v = 372 - 367. Give h(v).
4
Suppose 0 = 2*p + 4*n + 16, 2*n - 24 = p + 2*p. Let g(c) be the second derivative of -c**4/12 - c**3 + 3*c**2 + 109*c - 1. Determine g(p).
-10
Let m be (-2)/(5*(786/790 + -1)). Suppose -5*a = -68 + 458. Let d = a + m. Let g(v) = 13*v**2 - 2*v + 1. Calculate g(d).
12
Let r(c) be the third derivative of 2*c**5/15 - c**4/8 + 7*c**3/2 - c**2. Let f(l) = 3*l**2 + 19 - l - 68 + 56. Let i(h) = -11*f(h) + 4*r(h). What is i(0)?
7
Let w(l) = 27*l. Let c be ((-93)/(-12) - 8) + 9/4. Let n(f) = -f**3 + 5*f**2 - 10*f + 9. Let y be n(c). Determine w(y).
27
Let u(a) = a**2 + 21*a - 73. Suppose -139*h + 186 - 3522 = 0. Give u(h).
-1
Suppose -33*i + 32 = -i. Let l(j) = -2*j**3 - 4*j**2. Let b(t) = -6*t**3 - 9*t**2. Let g(v) = 3*b(v) - 7*l(v). Determine g(i).
-3
Let k(i) be the second derivative of -35*i**4/12 + i**3/6 - i**2 + 4*i + 6. Determine k(-2).
-144
Let l(n) = 2180*n - 8. Let b be l(2). Let s(p) = 4*p - 4*p**2 + b - 4354 + p**2. Determine s(2).
-6
Let q(t) = 4*t - 6. Suppose 5*j = 1138 - 203. Let l = j - 181. Determine q(l).
18
Let a(q) be the second derivative of 0 + 1/6*q**3 - 190*q + 6*q**2. What is a(-7)?
5
Let j(a) be the first derivative of a**3/3 - 9*a**2/2 - 5*a + 359. Suppose n + n = 18. What is j(n)?
-5
Let w = -638 + 594. Let m(q) = -3*q + 1. Let h(r) = 64*r - 22. Let l(o) = w*m(o) - 2*h(o). What is l(-2)?
-8
Let y(l) = -19*l**2 - 3*l - 4. Let v = 3526 + -3527. Give y(v).
-20
Suppose -2*a + q - 121 = -7*a, -5*q = 3*a - 77. Suppose 34*i = a*i - 20. Let l(o) = 2*o**3 + o**2 - 2*o. Determine l(i).
-8
Suppose -b + 144 = b. Suppose y - 10*y + b = 0. Suppose 0 = 4*p - y*p + 4. Let n(v) = -5*v**2 - 2*v + 1. Give n(p).
-6
Let t(f) be the third derivative of -f**4/8 + 7*f**3/6 - 20*f**2 + 1. Suppose 7 = -5*j + 6*j. Calculate t(j).
-14
Let i(d) be the first derivative of -85 - 1/4*d**4 + 2*d**2 + 0*d - 2/3*d**3. Give i(-3).
-3
Let m(y) = -3*y**3 + 2*y**2 + 7*y - 14. Suppose -55 - 47 + 214 = 56*q. Give m(q).
-16
Let v(u) = -119201*u**2 + u + 119199*u**2 - 4 - 8*u. What is v(-7)?
-53
Suppose 0 = 4*y + 5*t - 18, -4*y - 4*t + 14 = -y. Suppose 0 = -n - 5*q - 9, 4*q = 3*n + q - 9. Let g(r) = 2*r - n + 8*r + 5*r + r - 12*r. Calculate g(y).
7
Suppose -a = -6*a - 15. Let t = 90 - 88. Let g(b) = -2*b**2 - 3*b + 5*b**2 - 6*b**t + 4 + 0*b**2 - 1. Calculate g(a).
-15
Let z(l) be the first derivative of 4*l + 4/3*l**3 + 3/2*l**2 + 1/4*l**4 - 70. Give z(-4).
-8
Let v(y) = -6*y + 14. Suppose -165*s - 18 = -162*s. Let f(x) = -7*x + 17. Let q(z) = s*v(z) + 5*f(z). What is q(-2)?
-1
Let y be 7*(-7 - -8) - (-2 - -7). Let f(m) = m**3 + 7*m**2 - m - 1. Let t(i) = 6*i**3 + 34*i**2 - 7*i - 4. Let z(q) = y*t(q) - 11*f(q). Calculate z(9).
-24
Let b(q) = -q**2 + 2*q - 4. Let j(t) = 0*t - 4568 - 2*t**2 + 13*t + 4558. Let d be j(5). Determine b(d).
-19
Let t(j) = -j**2 - 18*j - 77. Let s be t(-8). Let v(l) = 17*l - 50. Give v(s).
1
Let l(s) = s**2 + 5*s + 1. Suppose -5*d = -4*q - 7, -13 = d + 24*q - 20*q. Let m be d + -7 - (12 - 17). Give l(m).
-5
Suppose 83*o - 303 = -18*o. Let b(l) = l**3 - 2*l**2 - 2*l - 5. Determine b(o).
-2
Let w(p) = -8*p. Let i(a) = -11*a + 7. Let c be i(1). Give w(c).
32
Let u(y) = 6*y - 39. Let w be u(5). Let k be 0 + (2 - w/(36/8)). Let i(n) = n**3 - 4*n**2 - 2*n + 2. What is i(k)?
-6
Let g(u) be the second derivative of u**5/20 + 7*u**4/12 + 4*u**3/3 - 7*u**2/2 - 2*u - 53. Let c be g(-5). Let j(b) = -3*b**2 - 4*b. Give j(c).
-39
Let y(m) = -m + 2. Let a(k) = -6*k + 20. Let p(u) = -a(u) + 8*y(u). Let j be p(-1). Let i(g) = g - 6*g**2 - 1 + 3 - 2*g. Calculate i(j).
-20
Let s(r) be the third derivative of -31*r**6/120 + r**5/60 - r**4/24 + r**3/6 + 689*r**2. Calculate s(1).
-30
Let p(x) = 6*x - 87. Let v(o) = -9*o + 119. Let t(q) = -7*p(q) - 5*v(q). Calculate t(-10).
-16
Suppose -4*d = -l - 521, -d = 2*l - 3*d + 1030. Let n = -515 - l. Let m(x) = -5. Let t(j) = -j - 4. Let v(r) = -3*m(r) + 4*t(r). Calculate v(n).
7
Let t(c) = -c**3 + c**2 + 2*c - 3. Suppose -k + n = -3*n - 32, 2*k = 5*n + 49. Suppose -k*z = -14*z - 2. Let g be -6 + 6 + (-2)/z. Determine t(g).
-3
Let k(s) = 9*s + 3. Let i(u) = 1. Let p(r) = 12*r + 10. Let z(j) = 8*i(j) - p(j). Let o(n) = 3*k(n) + 2*z(n). Calculate o(4).
17
Let m be ((-62)/(-155))/((-1)/(-5)). Let v(c) = 14 + 0 - 153*c**2 + 154*c**m + 2*c - 3*c - 1. Calculate v(0).
13
Let r be 1/(((-2)/4)/(274/(-4))). Let k = r - 45. Let i = -89 + k. Let d(u) = u**2 - 3*u - 2. Give d(i).
-2
Let q = 225 - 216. Suppose -q*t - 12 = -13*t, 0 = 4*l + 2*t - 38. Let d(z) = -z**3 + 8*z**2. What is d(l)?
0
Let a be ((-13)/(-2) + 4)/(30/(-80)). Let j(w) = 2*w + 62. Determine j(a).
6
Let r(d) = -12*d**3 - d**2 + 2*d + 1. Let b = -3394 - -3393. What is r(b)?
10
Let k(x) = -24*x - 230. Let i(c) = 27*c + 219. Let r(t) = -5*i(t) - 6*k(t). Determine r(-32).
-3
Let t(p) = -p**2 - 10*p - 16. Let w be (1 + 21/(-12))*(-1080)/162. Suppose 5*u + 12 - 2 = -5*j, w*u - 2*j = -45. What is t(u)?
5
Let m(v) = -v**3 + 2. Let g(a) = 2*a**3 + 7*a**2 + 8*a - 8. Let w = -93 + 94. Let u(p) = w*g(p) + 3*m(p). What is u(8)?
-2
Let q be (2 + -2)*(-1)/(-2) - 10. Let x(i) = 5*i**2 + 51*i + 3. Calculate x(q).
-7
Let j(l) = 18*l - 27. Suppose -12*w - 199 - 195 + 418 = 0. Give j(w).
9
Let w(b) = 37*b**3 + b**2 - 10*b + 9. Let l(o) = 17*o**3 + o**2 - 5*o + 5. Let s(f) = 13*l(f) - 6*w(f). Determine s(7).
-24
Let i(g) = -g**3 - 14*g**2 + 2*g + 31. Suppose 24*v = -84*v + 652 - 2164. Give i(v).
3
Let p(x) = x + 292. Let m(t) = -t - 332. Let o(s) = -7*m(s) - 8*p(s). Give o(-3).
-9
Suppose 245*u - 234*u = -44. Let a(n) = -n**2 - 5*n + 18. Calculate a(u).
22
Let g(a) = 42*a - 35. Let l = -12507 - -12508. Calculate g(l).
7
Suppose 0 = 3*k - 3*a - 1 + 7, 3 = a. Let p(y) be the third derivative of -y**6/5 - y**5/60 + 794*y**2. Determine p(k).
-25
Let o(f) = -f - 1. Let r(p) = -p**2 - 14*p - 12. Let t(b) = -6*o(b) + | {
"pile_set_name": "DM Mathematics"
} |
- 202*u + 73. Let j(a) = 6*w(a) - 17*z(a). Let f be j(11). Solve -l + f - 22 = 0 for l.
-3
Suppose -24*d = 77*d + d + 93*d. Solve -13*v + 34 + 31 = d for v.
5
Let v = 29 - 35. Let d be 12/(-36) - 152/v. Let m = 25 - d. Solve 2*z = -m*z - 4 for z.
-2
Suppose -4*a + 29 = l, -20 = -122*a + 119*a + l. Solve -a*i - 16 = -23 for i.
1
Suppose x + 0*x = 4. Suppose x*p = -o + 23, -5*o + 31 = -3*p - 38. Suppose 3*a - 21 + o = 0. Solve a = g - 3 for g.
5
Suppose -2*s - 4*i + 120 = 0, 5*s - i + 292 = 636. Solve s - 4 = -16*l for l.
-4
Let c = -241 + 249. Let u be (c - (-10 + 5)) + (-5)/(-5). Solve -u*o + 10*o = 0 for o.
0
Let n be 1/(-2 + 1)*(-56 - -50). Solve -n*k = 11*k - 68 for k.
4
Suppose 2*x + 0 = -4*v + 20, 4*x - 28 = -4*v. Let k = -52 + 55. Let d(n) = n**2 + 8*n - 19. Let y be d(2). Solve -k*a = -x*a + y for a.
1
Suppose 2*h + 0*w - 11 = -5*w, 5*h - 12 = 3*w. Suppose 56*b - 61*b - g + 27 = 0, -5*g = -4*b + 39. Solve -b*t = -5*t + h for t.
-3
Let g = 56 + -8. Let k(r) = 2*r**2 + 4*r - 16. Let o be k(-7). Let l = o - g. Solve -2*a - 4 = l for a.
-5
Let n = -10 + 8. Let j(s) = 7*s**3 + s**2 - 2*s. Let g be j(n). Let t = g + 50. Solve t*r - 3*r = -5 for r.
5
Let b = 600 + -958. Let q = -358 - b. Let t be (-3)/(2 - 26/10). Solve q*k + t*k + 10 = 0 for k.
-2
Suppose -28*g + 32*g = 3296. Let k = 832 - g. Solve -5 + k = -3*y for y.
-1
Let t be 1*-1*49*(-10 - -12)/(-2). Solve 42*q + 42 = t*q for q.
6
Suppose 223 - 463 = -12*h. Solve 0 = -25*b + h + 130 for b.
6
Let h be 6/10 + (-210)/350. Suppose h = 10*v + 5 - 55. Solve -v*l - 73 = -58 for l.
-3
Suppose 5*i - 107 = -77. Suppose 7*c = -i*c. Solve -2*g + c = 8 for g.
-4
Let z = 12 - 10. Let d be (-1)/z + (-27)/(-6). Suppose 3*t - d*s + 7*s = 0, -t - 20 = 5*s. Solve -t = 6*g - g for g.
-1
Let p be 6/(-18)*-9 + 19. Let z be 156/858 - (-260)/p. Solve -z = -3*t - 6 for t.
2
Let i(l) = -28 - l + 28 + 6*l**2. Let r be i(1). Let v(f) = -2*f**2 + 3*f + 189. Let g be v(-9). Solve n + g - r = 0 for n.
5
Let o(x) = -2*x**2 + 19*x + 5. Let m be o(8). Suppose 286 = 2460*p - 2449*p. Solve -q + m = p for q.
3
Let r be 60/24*1/(40/32). Solve -30 + r = -7*g for g.
4
Suppose 77*s + 48*s + 33*s - 18802 = 0. Solve -s*x - 62 = -657 for x.
5
Let h be 18 + (3/18)/(6/180). Let v(r) = r**3 - 21*r**2 - 46*r + 17. Let q be v(h). Solve -q*x = -19*x + 2 for x.
1
Let v be 8/14*49/14. Suppose p - h = -p + 42, 0 = v*h. Let g = -16 + p. Solve -8*x + 3*x = -g for x.
1
Let f(i) = 4*i - 21 - 6 + 3*i - i. Let t be f(5). Solve t*o - 10 = -2*o for o.
2
Let p be 1/(-3)*4/(16/60). Let r be ((-21)/(-7) + p)*-4. Solve -5*j + j = r for j.
-2
Let j(t) = 13*t**2 - 75*t + 87. Let n be j(8). Solve 0 = 316*y - n*y + 21 for y.
7
Let o = -1778 - -1784. Solve -o*g = 3*g + 9 for g.
-1
Suppose 14*z - 4062 = 8*z. Let a = -665 + z. Solve -2*n = 2*n - a for n.
3
Suppose 4*i - 72 = 8*i. Let h = i - -31. Suppose -9*j - 8 = -h*j. Solve j*c = -c for c.
0
Suppose -s + 12 = 2*s. Let b = 1 - 1. Let r be (-4 + 4)/(-2 - -1). Solve s*l + b*l = r for l.
0
Let t be ((-310)/15 - (-3)/(-9)) + 0. Let g be ((-21)/t)/((-1)/(-7)). Let d = 15 - 15. Solve -2*k - g - 3 = d for k.
-5
Let f be ((-5)/7 - 1)*(-91)/26. Let u(k) = -3*k + 25. Let q be u(f). Solve 3*b - q = -10 for b.
-1
Let x = -6 - -9. Let t(v) = -3*v**2 + 24*v + 60. Let p be 188/16 + 21/(-12). Let f be t(p). Solve f = -2*u + x*u - 2 for u.
2
Let p(t) = t**3 - 85*t**2 + 4*t - 338. Let w be p(85). Solve 172*l = 173*l - w for l.
2
Suppose 10*z + 1169 = -2481. Let v = z - -381. Solve 4*n + 0*n = v for n.
4
Let k = 760 - 708. Solve -11*y = k + 3 for y.
-5
Let a = 1669 - 1380. Solve -282*o = -a*o + 14 for o.
2
Let a = -104 - -112. Let t be (-6)/a*(153/(-27) - -3). Solve -t - 10 = 4*p for p.
-3
Suppose -49*i + 50*i = -4. Let l(v) = 2*v + 43. Let k be l(i). Solve 0 = 5*f - k + 10 for f.
5
Let d = -301 - -318. Let l = 188 - 186. Solve 0 = 3*x - d + l for x.
5
Suppose -549*i = -648*i + 120186. Solve 1216*d - i*d + 4 = 0 for d.
-2
Suppose -991 = 15*f - 1006. Solve -f = -24*s + 25*s for s.
-1
Suppose t = y + 364, -3*t + 175 + 899 = 3*y. Solve -t = p - 362 for p.
1
Suppose 2*j = -90 + 20. Let f be j + (1 - (3 - 4)). Let u = -31 - f. Solve -3 = a - u for a.
-1
Let t(h) = 4*h - 5. Let p be t(2). Let a be ((-26)/8)/(p - (-44)/(-16)). Let y be 2/(-3)*(a - -4). Solve -3*x + y = -9 for x.
5
Let z = 132 - 140. Let x(l) = l**3 + 9*l**2 - 3*l - 79. Let k be x(z). Solve -k = 6*t + 9 for t.
-3
Let i = -4316 + 4516. Solve 0 = -2*a - i + 208 for a.
4
Suppose 3*y + 52*d - 55*d + 15 = 0, -5*y = d - 29. Let i = -22 - -31. Solve -y*r + r = i for r.
-3
Let t(b) be the third derivative of b**5/20 + b**4/6 + b**3/3 + 3*b**2. Let p be t(-2). Suppose -4*d = -10 - p. Solve 4*m + 0 = -d for m.
-1
Let a(s) = 4*s**2 + 7*s + 4. Let o(f) = -5*f**2 - 7*f - 3. Let h(c) = 4*a(c) + 3*o(c). Let q be h(-8). Let v = -15 + q. Solve 2*w + v*w - 2 = 0 for w.
1
Suppose -470 = -49*r + 39*r. Suppose 0 = r*o - 44*o - 3. Solve x = 1 + o for x.
2
Suppose 5*t + 4*p - 133 = 2*p, -3*p + 105 = 4*t. Suppose 5 = -t*o + 28*o. Suppose -o*d + 27 = -2*d. Solve 3*u + 3 + d = 0 for u.
-4
Let t = 2249 - 2231. Solve -t*d + d = -5*d for d.
0
Suppose -10*m = -6798 + 1328. Let i = m + -512. Solve 5*t + i = 30 for t.
-1
Suppose 5*r - 49 = 4*x, -5*r = -x + 4*x - 42. Suppose -8*i = -r*i - 22. Let h = 23 + i. Solve d + h = 3 for d.
2
Let x(q) = -14*q + 18. Let t be x(1). Suppose 3*g + 5 = 14, -5*z + 47 = 4*g. Suppose 9 = t*p - 3*o - 9, -5*o = p + z. Solve 0 = p*r - 3 - 6 for r.
3
Let l(i) = -4*i**2 - 10*i. Let g be l(5). Let x be ((-28)/(-21))/(2/g*2). Let m = x + 59. Solve -4*o - m = -7*o for o.
3
Suppose 10*s = -29 + 169. Suppose -3*v = 3*k, 3*v = 3*k + 4 + s. Solve -v*h + 1 = -2*h for h.
1
Let t = 178 - 198. Let m(b) = b**2 + 15*b + 2. Let l be m(-12). Let z = t - l. Solve z = -5*w - 1 for w.
-3
Let p be 15 + 270/(-20) - 2786/(-4). Let x = p + -689. Solve -6*m - x = -9*m for m.
3
Let c be (-1150)/16 + 3/(-24). Let h = c + 185. Let v = 113 - h. Solve v = 2*w + w - 3 for w.
1
Let r be 25/(-575) + 3960/92. Solve -377 = r*q - 76 for q.
-7
Let w be (4/(-8)*6)/(57/(-21356)). Solve w = 5*h + 1104 for h.
4
Suppose 5*m - 36 = r, 20 = 5*m - m - 3*r. Let s(d) = -d**2 - 7*d - 2. Let w be s(-5). Suppose i + 27 - 31 = 0. Solve i*b + w = -m for b.
-4
Let l(h) = h**3 - 15*h**2 + 12*h + 40. Let g be l(14). Solve -111*r + 107*r = -g for r.
3
Suppose 12 = 3*b + 3*b. Let h be b*-24*2/(-4). Suppose -2*t - 6*t = -h. Solve -v - 7 = -t for v.
-4
Suppose -199*v = 80*v + 212*v + 169*v. Let k(l) = 2*l**2 - l - 1. Let y be k(-1). Suppose -z + y = -3. Solve -z*b + 4 + 6 = v for b.
2
Let a be (-4732)/35 + (-2)/(-10). Let t = a - -138. Suppose -2*h + 5*x - x - 18 = 0, 3*x - 16 = -h. Solve o - t = h for o.
4
Suppose -3 = q + 2*t, q + 12 - 3 = -4*t. Solve -8*w = -q*w for w.
0
Let x(k) = -11*k**3 - k**2 + 15*k + 16. Let a be x(-1). Let g(u) = -u**3 + 12*u**2 + 8*u - 206. Let v be g(a). Suppose f - 7 = -3. Solve -5 = v*h - f*h for h.
5
Suppose -499*a = -525*a + 728. Solve 25*v = a*v + 21 for v.
-7
Let x(v) = -2*v + 7. Let c be x(0). Let p be (5 - (4 + 4) - 1) + 9. Suppose -3*a + 17 = 4*n, 0*n = 2*n - 4. Solve -p*o = -a - c for o.
2
Suppose -4113 = 19*o - 4379. Solve -o*p - 267 = -211 for p.
-4
Let k be ((-5)/(-35) + -3)/((-4)/14). Let g(q) = 2*q**2 - 37*q - 19. Let b be g(19). Solve -5*v - k = -b*v for v.
-2
Let d(b) = -9*b - 47. Suppose 3*c + 6 = -21. Let n be d(c). Solve n = 7*o + 6 for o.
4
Let d = 2051 + -2049. Solve 0*b = 4*b + d*b for b.
0
Suppose 212*u - 7395 = 72*u + 7445. Solve -u = 44*z - 18 for z.
-2
Suppose -3*s - 3*w = 57, 4*s - 5*w + 3*w = -76. Let u = s + 23. Let r(i) = i**2 + i - 5. Let x be r(3). Solve u = x*d - 3*d for d.
1
Suppose 10*g + 26 - 160 = 26. Solve -14 - 114 = g*m for m.
-8
Let n = 254 + -221. Let g = n - 29. Solve 8 = g*f - 2*f for f.
4
Let o = -2393 - -2404. Solve 2*p - o*p = p for p.
0
Let p(j) = 84*j - 2644. Let q be p(32). Solve -q = -15*m + 61 for m.
7
Let j(u) = -1 + 3*u**2 - u - 16 - 2*u**2. Let g be j(5). Suppose 5*r = -m + 2, 3*m + g*r + 8 = 7*m. Solve k - 2 = m for k.
4
Let g be ((-2)/(-6))/(2/(-24)). Let r be (-2)/(-4) + 0 + (-26)/g. Let n be 1/4 - (-11)/4. Solve 8 = n*i - r for i.
5
Let l be (-3 + (-7)/(-3))*(0 - 9). Suppose -i + 0*i = -20. Suppose -s = 3*z + 12, -l*s + i = -3*s - 5* | {
"pile_set_name": "DM Mathematics"
} |
ve g = 2*m - 4*z - 4, -4*z - 2 = -m + 2 for m.
0
Suppose -5 + 2 = -u. Suppose -u*n - 44 = -5*n. Let y(x) = -x**3 - 5*x**2 - 6*x - 5. Let p be y(-4). Solve -3*q = -h - 2, -p*q - 2*h - 2*h + n = 0 for q.
2
Let a = 13 + -12. Solve 3*t = 4*t + 2*x + 1, a = -t - 5*x for t.
-1
Let l = -3 - -8. Solve 4*z = -16, -l*f + 0*f = 4*z + 41 for f.
-5
Let g(k) = -k**3 - 4*k**2 + 5*k + 1. Let u be g(-5). Let t(j) = -j**2 - 8*j - 11. Let v be t(-6). Let n = v + u. Solve 0 = -3*q - 3*x, -q - x + 2 = n*q for q.
1
Let m = 191 - 191. Solve 0 = 4*f - f - 5*n + 1, -5*f - 3*n - 13 = m for f.
-2
Suppose -3*p = -2*u - 22, 4*p - 25 - 16 = 5*u. Solve 0*o - 1 = x - o, -5*x - 6 = -p*o for x.
-2
Let n be (2 + 3 - 3) + 3. Let k = n + 13. Solve -5*w + u + k = -0*u, 2*w + 6 = -4*u for w.
3
Suppose 6 = -3*a + d - 7, 5*d = 2*a + 13. Let t = 14 + a. Solve -4*m + 5*u - 12 = 0, -3*m + 2*m + t = 2*u for m.
2
Let v = 9 - 4. Let w(d) be the third derivative of -d**4/8 + d**3/3 - 2*d**2. Let u be w(-4). Solve c + u = x + 5*c, v*c = 5*x + 30 for x.
-2
Let g = 24 - 5. Let z be -4*((-21)/6 - -3). Suppose -p + 4*p - 4*w = 46, -3*p + 51 = -3*w. Solve 0 = -3*j - 4*i - g, z*i = -2*j - 2*j - p for j.
-5
Let x = 3 - -2. Let m be 1/((-20)/18 + 1). Let r = -5 - m. Solve s + 2*w = -r, 0 = x*s + 5*w + 1 + 14 for s.
-2
Suppose 0 = 2*c - 0 - 8. Solve 2*g + 3*l - 12 = c*l, -3*g - 8 = 5*l for g.
4
Let y(g) = -g**3 + 3*g**2 + 2*g - 2. Let r be y(3). Let z = 23 + -11. Suppose -2*a + 6 = -z. Solve -4*l = r*o - 20, -o + a = 4*l + l for l.
1
Let l be (-3)/5 - 206/(-10). Solve b - 5*b + 3*h - 16 = 0, 5*b + l = -h for b.
-4
Suppose -3*v + 8 + 22 = 0. Solve 5*x - 12 = -0*n + 2*n, -5*x = -v for n.
-1
Let i(z) = -z + 4. Let l be i(1). Solve 5*m - 13 = 5*b - 38, -3*b - l*m = -9 for b.
4
Let i(c) = c**2 + 0*c**3 + c**3 + 3*c**3 + c - 1. Let w be i(1). Solve 3*t - 4*x = w, 4*t - 5*x = -t + 10 for t.
3
Let f be (-6)/12 - ((-5)/2 - 0). Solve -5*s + 8 + 7 = f*t, t + 4*s - 15 = 0 for t.
-5
Let k(n) = n - 5. Let g(f) = f - 6. Let o(j) = -4*g(j) + 5*k(j). Let z be o(3). Let p be 65/25 + (-2)/(-5). Solve 23 = 5*s - 2*t, 0 = -2*s + p*t + 5 + z for s.
5
Let p be (-17)/(-1) - (-24)/8. Solve -4*h + 4*v = -p, -v - 10 = -2*h - 0*h for h.
5
Let v(r) = r**3 - r**2 - 2*r + 2. Let d be v(2). Solve -h - 4 = -d*s - 15, h + 9 = -2*s for h.
1
Let s(k) = -3*k + 6. Let z(i) = -16*i + 31. Let w(c) = 11*s(c) - 2*z(c). Let f be w(4). Solve f*g + 4*g = d - 7, 5*g - 2*d = -5 for g.
-3
Let z = 6 + -6. Suppose z*g + g - 33 = 0. Solve -5 = k - 3*m, -m + g = -5*k + 8 for k.
-5
Let h be 4*3/(-3) - -6. Solve -2*a + 5*w = -33, h*w = -a + 3*a - 18 for a.
4
Let r be ((-2)/(-4))/((-4)/(-32)). Solve -r*l + 24 = -i, 2*l + 5*i = 2*i - 2 for l.
5
Let o = -204 - -209. Solve 2*t = 2*a, 2*a = a - 4*t - o for a.
-1
Let d be (8/(-6))/((-1)/3). Suppose -4*r = 4*u + 8, 2*u + 0*u - d*r = 20. Let p = -6 - -10. Solve 4*h = -12, 3*v - u*h = -p*h + 6 for v.
4
Suppose -y = -6*y + 25. Suppose 3*d = -d. Let o be (d - 3/(-6))*28. Solve 5*l = 5*g + 20, y*l - 14 = -3*g + o for l.
5
Suppose -13 = -0*w - w. Solve 0 = i + 4, 5*t = -4*i + w - 4 for t.
5
Let c be (-1 + 3*1)/(40/240). Let i(n) = 4*n**3 - 2*n**2 + n. Let z be i(1). Let h be 2 + 0*(-2 + z). Solve -q - h*r - 8 = 3, 4*r = -c for q.
-5
Let k = -34 - -9. Let s = 26 + k. Solve 0 = -5*n - 3*z - s, n + 2*z - 4 = -0*n for n.
-2
Let v be 11/3 - 2/(-6). Suppose 9 = 5*x - 16. Solve -x*i - 4*l = v + 7, -4*l + 4 = 0 for i.
-3
Let y = 9 - 6. Let a = 3 + y. Let p be a/8 - 54/(-24). Solve 4 + p = -3*n - 4*h, -h = -3*n - 17 for n.
-5
Suppose -2*u + 5*g - g = 4, 3*g = -5*u - 10. Let f = u + 11. Let w(r) = r**2 + 1. Let z be w(-1). Solve 2*y = z*i + 10, 2*y = -0*y + i + f for y.
4
Suppose 3*r - 7*r = 0. Suppose -11*k + 14*k - 6 = r. Solve -2*b + 0 = -5*d - 1, b - 5 = -k*d for d.
1
Let b = -54 - -56. Solve -2*t - b*k = -3*k - 1, -3*k = -3 for t.
1
Suppose 2*b - 4*c - 20 = -4, 15 = -5*c. Solve -15 = -b*p - 3*p - 5*y, -6 = -2*p + y for p.
3
Let y = -11 - -31. Suppose 0 = -2*b + 4*i + y, i + 10 = 3*b - i. Solve b = -5*a - 5*t + 5, 1 = 5*a + 2*t - 10 for a.
3
Let b(y) = 4*y + 9. Let m(z) = -1 + z - 1 + 4. Let i(h) = -2*b(h) + 9*m(h). Let n be i(0). Solve -w = -n*w + 5*s - 24, 4*s = 20 for w.
-1
Suppose b = 4*b. Let d be (1 + 0)*(b + 20). Suppose m - 7 = 3*o + 12, 4*m = o + 54. Solve 0 = -4*g - d, 5*y + m = -g - 7 for y.
-3
Let s = 60 - 58. Solve 2*x = s*d + 3*d - 6, -5*d - 3*x + 16 = 0 for d.
2
Let r(q) be the first derivative of -q**3/3 + 9*q**2/2 - 5*q + 6. Let a be r(8). Solve a*p + 4*i + 3 = 0, 2*p = -0*i + 5*i + 21 for p.
3
Let i be (-4)/(-2)*(-39)/(-26). Solve -6 = 4*c + 2, i*c = -5*f - 6 for f.
0
Let c be 1/6 - 87/18*-1. Solve 4*o = -3*r + 3*o + 15, 2*r - 10 = c*o for r.
5
Let w(y) = y**3 - 9*y**2 - 10*y + 2. Let b be w(10). Solve 0 = -5*h - 7*l + b*l, -5*h + 3*l - 32 = 0 for h.
-4
Suppose 7 = 3*s + 1. Solve s*b + z = 0, 0 = 3*b + b - 2*z for b.
0
Let h = -4 - -9. Let p = h - 5. Solve -v + 5 = -4*c, -2*v = 3*c - p*v + 1 for c.
-1
Suppose m + 12 = 5*j, -3*m - 1 = 2*j - 16. Solve 5*d + 12 = -2*i + 1, j*i = -2*d for i.
2
Let l(w) = 4*w - 3*w + 2*w. Let g be l(1). Let v be ((-4)/g)/((-1)/3). Solve v*p - 4 = 3*j - 1, -3*j = -3*p + 6 for j.
-5
Let s(c) = -c**3 + 6*c**2 - 9*c + 4. Let u be s(2). Solve 4 = -w + u*g, -3*w + 4*g - 2 = 2*w for w.
2
Let v(a) = -3*a**2 + 4*a + 0*a + 2*a**2 + 5 + 6*a. Let u be v(10). Solve y - m = 4, -y + m = -u*y - 4 for y.
0
Suppose -6*p - 3*w = -4*p - 18, 5*p - 4*w = 91. Solve 15 = 3*s, -z = z - 5*s + p for z.
5
Let s be (-3)/(-9) + 20/(-6). Let q(u) = -2*u**3 - 5*u**2 - 3*u - 3. Let d be q(s). Let x be (50/d)/((-2)/(-3)). Solve 3*z + 0*y = 4*y - 2, x*z = 4*y + 2 for z.
2
Suppose -5*m = 3*y - 25, 25 = y + 4*y. Suppose -m*j - 1 = -5. Solve -2*u + 9 = 2*k - 3*u, -j*k - 1 = u for k.
2
Suppose 0 = 4*d + n + 25, -2*n + 0*n = -5*d - 15. Let k = d - -7. Suppose 40 = 2*h + 2*i, -2*h + 0 + 5 = -5*i. Solve -k*b = -y - h, -b = 4*b + 4*y - 5 for b.
5
Let k = 10 + -7. Suppose -s - 2*q + 3*q = 2, -5*q = k*s - 18. Solve 0 = -3*n + 5*b - 4 - s, -3*n = 4*b - 31 for n.
5
Suppose g + 3*p = -4*g + 48, 0 = 4*p - 4. Suppose -11 - g = -5*c. Solve -30 = -2*f - c*o, -2*o = -f + 3*o - 20 for f.
5
Let y(o) = -4 + o**2 + 5*o + 4. Let f be y(-6). Suppose -u + 2*u - f = 0. Solve 5*c = -v + 28, -3*v = -u*v + 2*c - 1 for v.
3
Let s be -1 + -3 + -3 + 9. Solve -g - 5*z = -8, -s*g - 5*z + 7 = -4 for g.
3
Let b = -33 + 18. Let g = -13 - b. Solve j = -g*j - 6, 2*s = 3*j + 4 for s.
-1
Suppose -p = h - 19, p + 61 = 3*h + 6*p. Solve -5*k - q - 7 = 13, k - h = 4*q for k.
-3
Let g be (-14)/(-6) - 10/(-15). Suppose 0 = g*i - 12 - 3. Solve 0 = 5*v + 4*m - 17, -4*v + 0 = i*m - 10 for v.
5
Let q(z) = z + 11. Let d be q(-5). Let j be (-4)/d*(-36)/8. Suppose 4 = x + x. Solve 0 = -j*g - h + 1, x*g - 4*g - 1 = h for g.
2
Let w(q) = q**3 - 2*q**2 - 3*q. Suppose 3*s - 4*s = -3. Let u be w(s). Solve 2*o - 3*r = 4*o, 4*o - 4*r = u for o.
0
Suppose 2*p - 10*p = -40. Solve 3*t + p*d - 6*d - 4 = 0, 4*t = 5*d + 9 for t.
1
Let n = -1 + 1. Solve n = -5*q + o - 10, 3*o + 0 = -q - 2 for q.
-2
Suppose -12 = -5*i + i. Suppose -3*r + 2*o = -19, -3*o + 4 = 3*r - r. Let y = r - i. Solve 5*b - 5*s + 15 = 0, 0 = -5*b + y*b - 3*s + 21 for b.
2
Suppose o = 6*o + 15. Let z = o - -40. Solve -4*q - 7 = -3*k, 4*k + 15 = -q + z for q.
2
Let f(u) = u**3 - 4*u**2 - 2*u + 1. Let c be f(6). Suppose -4*b + 155 = -c. Solve -4*z - 23 = -i, 5*z - 20 = 3*i - b for z.
-5
Let i(p) = 36 - 2*p**2 + 33 - 16*p + p**2 - 64. Let f be i(-16). Solve 3*j - 9 = 0, 0*l = -4*l + f*j - 23 for l.
-2
Let d(p) = 2*p**2 + 2*p - 2. Let t be d(-2). Let x be 15/(-3) + t - -3. Solve -4*c - 5*l + x = 2, -4*c - 3*l = -2 for c.
2
Let u = -20 - -25. Solve 9 = -5*s - u*b + b, 2*s + b + 6 = 0 for s.
-5
Let j be ((-45)/(-30))/((-6)/(-20)). Let d = -13 - -13. Solve 2*i = -0*i - 5*l + 2, -4*i + j*l - 26 = d for i.
-4
Suppose 0 = d - 3*y - 14, -4*d + 70 = 2*y. Solve t - d = -4*j, -t - 2*t + 16 = 5*j for t.
-3
Let q = -28 - -22. Let n(b) = b**2 + 6*b + 10. Let f be n(q). Solve -4*s - f = 2*k, 2*s + 13 = 5 for k.
3
Suppose 2*x + 8 = 0, -w + 0*x + 12 = -2*x. Solve 0 = b - w + 2, 0 = -5*i - 5*b + 5 for i.
-1
Suppose 0 = 11*b - 9*b - 8. Solve 0*y - 3*y = n - b, 4 = n - 2*y for n.
4
Let f = 31 - 34. Let i(c) be the second deri | {
"pile_set_name": "DM Mathematics"
} |
2. Let q be o(3). Solve a = -0*v + q*v for v.
4
Suppose 4*u = -2*z + u + 3, -3*z = 5*u - 5. Solve z = 5*y + 18 - 3 for y.
-3
Suppose 0 = 3*x - 3*p - 3, -2*p + 3 - 2 = -x. Let h(l) = l + 3. Let v be h(-7). Let i be 3*-1*v/3. Solve -i = u + x*u for u.
-1
Let x = 53 + -2. Suppose -3*b + l = -x, 5*l + 3 = -3*b + 36. Solve -2*s - b = 2*s for s.
-4
Let c(t) = t**3 + t**2 - t + 4. Suppose -4*w + 0*w = 0. Let q be c(w). Suppose 0 = -a - q*a. Solve 3*h + 12 - 27 = a for h.
5
Let s = -15 + 14. Let h = 1 - s. Solve z = 1 - h for z.
-1
Let v(j) = -j**3 + 3*j**2 + 3*j - 4. Let p be v(3). Suppose -1 = z - 2. Let q = p - z. Solve -q*c - 8 = 12 for c.
-5
Let z = -1 + 6. Suppose 0 = 5*p - z, -2*r - 4*p + 3 = -51. Suppose 2*l - r = l. Solve -w + l = 4*w for w.
5
Let v(c) = 4*c - 3. Let f be (-42)/(-8) - 1/4. Let s be v(f). Solve 2*k - s = -7 for k.
5
Let w(i) = -i**3 + 3*i**2 + 5*i - 1. Let s be w(4). Let b be (-68)/(-8) - 3/2. Solve s*j + 1 - b = 0 for j.
2
Let d = 108 + -108. Solve d*u - 2*u - 8 = 0 for u.
-4
Suppose -3 = 2*m - 21. Let y = m + -4. Suppose 3*k - 19 = -2*l, k - 1 = y*l - 3*l. Solve 1 - l = j for j.
-1
Let f(q) = q + 10. Let g be f(-6). Let b = g + 10. Suppose -2*k + 2 = -4*m - 2, -k - 5*m = -16. Solve -5*r - k = b for r.
-4
Let i(r) = -r**3 - 5*r**2 - 6*r - 6. Let b(o) = o**3 - 3*o**2 - 4. Let q be b(3). Let a be i(q). Solve 5*x = 27 - a for x.
5
Suppose -21*a + 18 + 24 = 0. Solve -a*r = -0*r + 10 for r.
-5
Let d = 8 + -5. Solve -3 - 9 = d*o for o.
-4
Suppose -11 = -5*v - 3*p, 26 = 7*v - 2*v - 2*p. Solve -j = -v*j - 15 for j.
-5
Suppose -12 = -4*k - 4. Let s be (-1)/(k + -1)*-3. Suppose 4*g - 62 = -2*p, 28*p - 26*p = 6. Solve g = s*o - 1 for o.
5
Suppose -2*m - 144 = -11*m. Solve 4*i = -0*i - m for i.
-4
Suppose -5*f + 7 + 18 = 0. Suppose 0*w + 6 = 3*o + 3*w, o - 22 = 4*w. Let x be (10/15)/(2/o). Solve -5 - f = x*u for u.
-5
Suppose 0*p = -3*p + 9. Suppose x + p*x = 4. Suppose -2*f = -f - 3*j - 18, 0 = j + 5. Solve -f*b = 4 - x for b.
-1
Let g(h) = -4*h - 90. Let x be g(-23). Solve -2*q - 4 + x = 0 for q.
-1
Let x(g) = 5*g - 32. Let a be x(7). Solve a*z - 12 = 6*z for z.
-4
Suppose 3*q + 3 + 9 = 0, -12 = 4*n + 5*q. Let u = n + 0. Let r(g) = g**3 + g**2 + 2*g - 1. Let v be r(2). Solve -3*s + v = u*s for s.
3
Suppose -4*z = l - 0*l - 12, 0 = -3*l + 4*z - 12. Solve l = -v - 3 for v.
-3
Let g be -1 - (-4)/((-12)/27). Let z = g + 16. Solve -z = 2*l - 0 for l.
-3
Let c be (-30)/6*6/(-5). Solve 3*k + c = k for k.
-3
Let y be (1/(-7)*8)/((-146)/511). Solve 0 = 2*t - 0 + y for t.
-2
Suppose 2*i - 8*i = -0*i. Solve 2*y + 12 - 2 = i for y.
-5
Let d(u) = -u**2 - 5*u. Let k be d(-5). Let i(r) = k + 2 - 5 + 2*r - 2. Let h be i(4). Solve -b = -h*b for b.
0
Let z = 30 - 29. Solve -4*s + 7 + z = 0 for s.
2
Let q(g) = g. Let u be q(-6). Let m(a) = a**3 + 7*a**2 + 6*a. Let h be m(u). Solve 12 = -h*l + 4*l for l.
3
Let w = -84 - -54. Let z = -15 - w. Solve -u + 6*u = z for u.
3
Let o be ((-8)/24)/((-1)/24). Suppose -3*m - 5 = -o*m. Solve 7 = -4*r - m for r.
-2
Suppose -1 = -4*c + 19. Suppose -5*s + 3*z + 48 + 33 = 0, -2*s - c*z = -20. Suppose 3*y - 6 - 3 = 0. Solve 0*b + s = y*b for b.
5
Let z(d) = d**2 - 2*d - 4. Let m be z(-2). Let s = 1 - 1. Let r = s + m. Solve r*l + 13 = 33 for l.
5
Let k = 6 - 0. Let g be (-2)/k - (-125)/15. Solve -y - g = y for y.
-4
Let v be 5/2 - 2/4. Suppose -v*p = 2*p + 112. Let u = -14 - p. Solve 2*s - 6 = -u for s.
-4
Suppose u - 5 = 4. Let d(g) = g**2 - 8*g + 3. Let p be d(u). Suppose t - 4 + 16 = 3*k, 3*t + p = 3*k. Solve t = -5*a + 5 for a.
1
Let z(l) = l**2 - 5*l - 2. Let n be z(6). Solve -n*y = -5 + 1 for y.
1
Let q be (-18)/(-99) + (-18)/(-22). Suppose 3*y - 3*i - 16 = -1, 5*i + 25 = -y. Let d be y/((2 + 0)/q). Solve d = 3*c - 7*c for c.
0
Suppose 5*r + 3 = 4*n - 129, -4*n = -3*r - 84. Let s be 5/2*r/(-15). Solve m + 3 = s*m for m.
1
Let q(r) = r + 7. Let j = -15 + 12. Let v be q(j). Solve -u - u - v = 0 for u.
-2
Let d(o) = o**2 - 2*o + 2. Let p be d(2). Suppose 2*l - 8 = -0*l. Suppose l*n - 16 = 3*f + p*f, 3*f + 20 = 5*n. Solve f = 2*h - 7*h + 10 for h.
2
Let c = 6 + 1. Solve 2 = 3*j - c for j.
3
Suppose 2 = 5*t - 3*v - 10, 2*t + 4 = -v. Suppose -d = -p - 5, p - 2 + 19 = 4*d. Solve t = h - 0 - d for h.
4
Suppose -r - 9 = 3*p, -3*p + 6 - 3 = 3*r. Suppose t + r - 16 = 0. Solve 3*f - f + t = 0 for f.
-5
Let c be 41/3 + (-4)/6. Suppose 5*d - c = 7. Suppose 3 = d*j - 3*j, -3*j = 3*i - 18. Solve 0*x - 15 = i*x for x.
-5
Let d = 69 - 66. Solve -d*w + w = -4 for w.
2
Suppose 1 - 13 = -4*j. Solve j*i + 3 + 9 = 0 for i.
-4
Suppose 3*d + 2 = 4*v + 28, d + 18 = -4*v. Let y(l) = l**2 + 3*l - 6. Let n be 42/(-9) - (-2)/(-6). Let m be y(n). Solve -d = j - m for j.
2
Let q be (-6)/9*(-9)/2. Suppose -4 = t + 4*d, -q*d = -2*t - 2*d + 10. Suppose z - 12 = -g, -t*z = -5*g - 2*z + 60. Solve f + 2*f = g for f.
4
Let s be ((-30)/(2 + -5))/2. Suppose 5*g - 4*g = s. Solve 3 = m + g for m.
-2
Let o(v) be the third derivative of v**4/24 - 5*v**3/6 - 2*v**2. Let m be o(7). Solve -m*t = t - 6 for t.
2
Suppose 7 + 2 = -3*u, -5*c + 35 = -5*u. Solve 14 = c*r - 2 for r.
4
Suppose 3*i - 5*a + 3*a - 10 = 0, 0 = -i + 3*a + 15. Solve i*b = 5*b for b.
0
Let k be (-234)/(-24) + 3/(-4). Let i = k - 15. Let v be 2/i - 6/(-18). Solve v*t - t = -1 for t.
1
Let g(p) = -10*p**3. Let x be g(-1). Solve -3*i + 2 = -x for i.
4
Let v = 58 - 38. Solve v = u + 4*u for u.
4
Let h = -9 + 4. Let o be 8/(-4)*h/2. Solve 0 = -o*j - 0*j for j.
0
Suppose -8*z + 62 + 138 = 0. Solve 3*n + z = -2*n for n.
-5
Let d(o) = -o**3 - 3*o**2 - 2*o - 2. Let f be (-1)/((-2)/(0 + -6)). Let m be d(f). Let u(j) = j**2 + 1. Let t be u(-1). Solve m*i = 3*i - t for i.
-2
Let f = 3 - 3. Suppose 0 = k + 3 - f. Let x = k + 5. Solve c = x*c - 1 for c.
1
Let l(r) be the first derivative of 7/2*r**2 + 1/3*r**3 + 5*r + 2. Let n be l(-7). Solve 8 = u - n*u for u.
-2
Let t = -89 - -99. Solve -5*f + t = -5 for f.
3
Let g = 124 + -124. Solve -v = -1 - g for v.
1
Let p be 26/(-39) + 17*(-4)/(-12). Suppose 3*h - 6 = -f, 9*h + 3*f - 6 = 4*h. Suppose 0 = -d - h*d. Solve p*b + 0*b = d for b.
0
Let f(q) = q**2 - 23*q + 8. Let n be f(23). Solve 5*j = n*j + 9 for j.
-3
Suppose 4*k + 4*w = 36, -4*k + 4 = -6*w + 2*w. Suppose k*c + 0*c - 11 = a, -c + 3*a = 9. Solve -1 = -l + c for l.
4
Let t(y) = 5*y**2 - 10*y. Let k(b) = -4*b**2 + 9*b + 1. Let s(m) = 4*k(m) + 3*t(m). Let l be s(5). Let o be 34/6 + (-6)/l. Solve -3*d = -2*d + o for d.
-5
Let k = -10 + 17. Let v = k + -3. Let d be (1/3)/(1/15). Solve v*s - 17 = -d for s.
3
Let l(t) = 6 - t - 6 - 8. Let s be l(-8). Solve 5*k - k - 8 = s for k.
2
Let c be 114/8 + 3/(-12). Let n = c + -21. Let l = n + 8. Solve -r - 5 = -l for r.
-4
Suppose 4*a = -0*a - 4. Let l = 6 + a. Suppose l*g - 10 = 0, -11 = -2*x - 4*g - 3. Solve x = -2*u - u for u.
0
Let b(t) = -t**2 + 4*t + 1. Let q be b(2). Solve -u + q = -6*u for u.
-1
Let h(a) = a**3 + a**2 - a - 1. Let b(y) = 5*y**3 - 4*y**2 + 4*y - 20. Let q(v) = -b(v) + 6*h(v). Let p be q(-11). Solve p*r = -r for r.
0
Let m = 33 + -13. Solve -m + 0 = 5*d for d.
-4
Suppose 2*h = 11*h - 63. Solve -9*g = -h*g + 8 for g.
-4
Suppose 15 = 6*z - z. Suppose 2*j + 12 = 4*g, -1 = -5*g - j - 0*j. Suppose g = o - 3. Solve -z = -3*c + o*c for c.
-3
Let i(x) = x**2 - 8*x + 3. Let f be i(8). Suppose 4*p + f*n - 16 = 0, -p + 3*p = 3*n + 26. Solve 0 = p*b - 2*b + 15 for b.
-3
Suppose -5*v = -v. Suppose v*t + 3*t = 0. Let g be (-1 - -2)*t/2. Solve 0*p + 2*p - 4 = g for p.
2
Let u be (2/4)/(4/80). Let a = u - 7. Let h be -6*(2*-3)/a. Solve 5*d + h = d for d.
-3
Let j(t) = 9*t - 5. Let f(s) = -8*s + 4. Let c(h) = -3*f(h) - 2*j(h). Let z be c(3). Suppose -z = -p - p. Solve p = 5*w - 7 for w.
3
Suppose -9*r + 15 = -30. Solve 14*z = 13*z - r for z.
-5
Let y(x) be the first derivative of x**2/2 + 6*x - 5. Suppose 4*q - 2*w + 20 = 2*w, 0 = 4*q + 3*w + 13. Let n be y(q). Solve n = t - 1 for t.
3
Suppose 0 = 4*t - 2*o - 34, t - 7 = -o - 3. Let y = t - -1. Solve -3*k = -5*k - y for k.
-4
Suppose 0 = -2*d - 2 + 42. Suppose o + d = k - 4*o, -4*k - o = -17. Solve k = 3*n - 7 for n.
4
Suppose -62 = -10*g - 2. Solve q + g = 3*q for q.
3
Let y(g) = g**2 - g + 16. Let s be y(0). Suppose -4*u + c + 4 = -0, 5*u - c - 6 = 0. Solve -s = -u*v + 6*v for v.
-4
Suppose 4*l - 68 = -4*n, | {
"pile_set_name": "DM Mathematics"
} |
7
Calculate 3/78 - (-134128)/(-5252).
-51/2
Evaluate (664/(-140) + 5)/((900/168)/5).
6/25
Evaluate 2180/(-9592)*12*(-1)/(-10).
-3/11
868/38 - (-78 + 31059/399)
23
What is 31360/11662 - 5/((-175)/(-90))?
2/17
Calculate (-3880)/130 - 3 - (60/585)/((-4)/(-6)).
-33
Calculate -7 - (8090/(-2427) - (20/(-6))/(-1)).
-1/3
What is the value of (-76)/(-6) - 345*(-87)/(-2001)?
-7/3
What is the value of (35620/(-959))/(10/(-7))?
26
((-786)/2358)/((-156)/9 - -3)
1/43
Evaluate (-2)/75 + (-372519)/382725.
-1
Calculate (-203)/2668*(-272)/(-1190).
-2/115
Calculate -10*((-13 - 60/(-4)) + (-15)/7).
10/7
(2/4)/(3/22) - 228938/60780
-1/10
(35 - 33 - 336/172) + 8780/(-172)
-51
(-80)/3240 + 14/567
0
What is the value of 0/2 - (-17)/((-510)/(-270))?
9
What is (890/356)/(14/70)?
25/2
(-82)/(-14) + -3 - (3110 + -3109)
13/7
What is the value of (-2064)/(-6)*108/(-2808) + (-1 - -14)?
-3/13
What is the value of 1*(-56 - -61)*11/935?
1/17
Evaluate 3996/(-7326) - 226/(-11).
20
Evaluate (-126)/6 + -6 - (15 - (-2 + 4)).
-40
What is the value of 1 + 1 - (-60 - -69)/((-18)/(-4))?
0
Calculate 630/168 - (-285)/(-76) - (-1 + -73)*-1.
-74
192/3584*-28*50/(-9)
25/3
Evaluate 31423/(-8978) - (11/(-2) + 0).
2
What is 22*42/1155*-19 - -11?
-21/5
What is the value of 19/114*(9/30)/(135/(-75))?
-1/36
What is (3 - (-447)/21)*(-9660)/(-2760)?
85
Evaluate 1135/35 + (22/(-33))/(28/18).
32
What is the value of 594/15840*380 + (-2 - (-36)/(-3))?
1/4
Evaluate 2691/(-460) + (-1 - (25 - 32)).
3/20
Evaluate (-1)/((-16)/(-40))*9/315*(-2)/(-6).
-1/42
((-36)/228)/(34 - 33)
-3/19
Evaluate (-1446)/24 - (-156)/(-416)*(-136)/12.
-56
29/(-348) - 2075/900*3
-7
Calculate (1488/(-6975))/(100/125).
-4/15
Calculate 1*(-40 + -3*(4 - 3)/1).
-43
-25 - (45024/21)/67
-57
Evaluate 1083/(-228)*(-1965)/4978.
15/8
What is the value of (10 - -44) + -123 - -56?
-13
Evaluate (-41184)/6006*(-1 + -3)/(-12).
-16/7
What is the value of ((-2673)/126)/(-33) + (-12)/8?
-6/7
Calculate -22 + (-309 + 6)/(1323/(-98)).
4/9
Evaluate 1848/300*29940/10978.
84/5
Evaluate (90/(-21) + (-37)/(-2331)*54)/(45/(-14)).
16/15
((-2720)/(-408))/(-3 + (-1256)/(-432))
-72
What is 26896/287 - 30 - (-6)/21?
64
What is the value of 78*36/(-1188)*66/72?
-13/6
Evaluate 8/(8/(-14)*(-230)/(-460)).
-28
What is the value of -1 - (-46 - -15 - -8)?
22
What is the value of -41*((-336)/6216 - 39/(-37))?
-41
What is (((-28)/(-12) - 3) + (-7 - (-1160)/120))*19?
38
What is the value of (-1 - -3)/(-8)*2*(-73 + 14325/225)?
14/3
What is the value of 5/4 + -1 + (-5)/(-12) - (-1578039)/82692?
79/4
What is the value of -50 + 40 + 4 - (1444/(-234) + (-6)/(-39))?
2/117
Evaluate 7 + (4 - -18) - (113 + -89).
5
Calculate 304/(-57)*6*((-20)/(-16) - 0).
-40
(-9 - 10050/(-1110)) + 2464/(-407)
-6
Calculate 2920/(-85) + 5 + 2*108/612.
-29
(-652 + 655)/(1/46*-3)
-46
90/(-27) + ((-4)/(-306))/(17/3876)
-6/17
Evaluate (-15)/18*567/(-315) + 37*3/2.
57
What is the value of 5 - (-2)/((-1540)/(-1070)) - ((-168)/(-154))/(-6)?
46/7
54000/(-600) + 24 + 6
-60
Calculate 256/672*21 - 71.
-63
Calculate (-2)/(((-738)/3444)/((-3)/(-1))).
28
What is ((-1191600)/2592)/331*(-63)/(-15)?
-35/6
(-4 - (-104 - 48/(-8)))/((-2)/(-1))
47
What is the value of (-7)/154*-2 + (53600/(-176))/50?
-6
Evaluate 1581/348 - 1254/264.
-6/29
Evaluate (((-59)/(-5) + 780/(-65))/((-3)/(-15)))/(-20).
1/20
((5/20*40)/(-1))/(2 - 6/2)
10
(-3)/(-4)*-1 - (-25929)/(-804)
-33
Evaluate 162/(-3) - (-30576)/728.
-12
Calculate 466/(-12) + (-11)/(-6) + -34 + 32.
-39
Evaluate 1088/(-30) - (-141 + (-240654)/(-1710)).
-36
What is the value of ((-280)/4200)/((-4)/(-24))?
-2/5
What is the value of ((-10)/(-3))/((3/(-4))/(8046/98936) - -9)?
-15
What is the value of 49/133 - ((-432)/48)/(-9)?
-12/19
26 - (1748/(-6555) + 1958/30)
-39
What is the value of -56 + (-78)/22815*-16385?
2/117
What is ((-36)/(-10))/((-200574)/3175755)?
-57
Evaluate -3 + -45 + (22 + 32 - 78).
-72
Calculate (1 + 1)*11 - (217 - 18 - 212).
35
Evaluate (152 - (149 - 131))*2/(-4).
-67
What is ((-768)/(-60) + -1*13)/(54/30)?
-1/9
Calculate (19050/18288)/(25/(-20)).
-5/6
Evaluate (-7 - 7) + (-5 - (34 + -25)).
-28
(-28)/(-6)*((-6)/28)/(3/(-36)*1)
12
What is the value of (-13)/(12675/(-23426)) - (15 - -9)?
2/75
340676/(-69828) - (10/22 + -1)
-13/3
What is the value of (39/(-211770)*342010 - -63)*(-6)/(-8)?
2/181
Evaluate 2/(-14)*-69 - (-1572)/(-1834).
9
What is (2/12)/(133/100548*-54)?
-7/3
Evaluate 16 - (-14 - -40) - ((-24933)/2355 - (-30)/50).
-2/157
What is (3436/(-23193))/(-3 + (-25)/(-9))?
2/3
Calculate 657/180 + (-504)/224.
7/5
What is the value of 490/(-38) - (113 - 98) - 6/57?
-28
Evaluate (-479)/(905310/1620) + 44/35*1.
2/5
Calculate ((-104400)/4640*9/5)/(1/2).
-81
Evaluate ((-352)/(-77))/4 - (22 + (-1014)/(-42)).
-45
(2 - -37)/(142142/43736)
12
Calculate (324/81)/(-4 + 0 + 81/21).
-28
(-1)/((-9)/(-2)*42/1323*525)
-1/75
Calculate (3*(-6)/3105)/(1*((-270)/(-25) + -11)).
2/69
Evaluate 3349/(-591)*(-6)/(-2)*-1.
17
What is (1562 + 53)*3/57?
85
What is (8/(-36)*-36)/(2*4/(-24))?
-24
Calculate 5568/13920 - (2 + 496/(-10)).
48
Evaluate (-11 - (105/(-6) + 6))/(17/(-6)).
-3/17
Calculate ((-637)/182)/(1139/1258 + -1*1).
37
((-1)/15)/((-1260)/(-26460))
-7/5
Evaluate (-12714)/(-978) + ((-2)/(-3) - (-717)/(-63)).
16/7
What is the value of 16/(-32)*-3*(-2)/(-30)*(-945)/(-54)?
7/4
Evaluate (1 - 26) + 35 - -22.
32
(177/(-1062))/(10/9)
-3/20
What is the value of 13/((-19266)/(-7695)) + (-7 - -2)?
5/26
Evaluate (-8 - (-6 + -12))*84/(-70).
-12
Evaluate (-24 - (23 + 60305/(-1260))) + 6/(-8).
1/9
What is (-417)/(-12) + (-56050)/2360?
11
Calculate 7*4/3*(-16)/(-56)*27/(-2).
-36
3 + -21 + (-11154)/(-242) + -28
1/11
What is (-116 - 103)*(-1)/3?
73
Evaluate 38/(-5) - 96/((-14400)/(-210)).
-9
Evaluate ((10/4)/(10225/818))/((-12)/(-50)).
5/6
Calculate 81 - (-263268)/(-2772) - 28/(-2).
2/77
What is 6/(-5) - (14/(7560/76662) + (-715)/330)?
-141
What is the value of (2/22)/((-2572)/(-537548))?
19
What is (-6)/(-243)*1284/856?
1/27
Evaluate ((-122)/(-183))/(4 + 99/(-24)).
-16/3
Calculate (-14084928)/157248*14/(-11).
114
What is the value of ((-57)/((-340)/(-16) + -16) + 8)/(6/(-63))?
30
What is the value of (10 - 11)/(535/51895)?
-97
What is the value of (((-18 - -35) + -14)/(81/369))/(1/3)?
41
What is (17/((-2601)/(-1632)))/((-2)/(-6))?
32
What is 1343/(-68) - (-111 + 91)?
1/4
What is the value of 37/20202*-13*35/30*4/7?
-1/63
What is the value of (41 - 1862/57)*(-3)/30?
-5/6
What is the value of (155/((-36425)/(-94)))/(42/(-285))?
-19/7
Calculate (-52)/(-8) - 4 - 11277/358.
-29
What is the value of 341*8/2232 - (-28)/(-18)?
-1/3
(1 - 57/9)/(71/((-17253)/3384) - -14)
-72
What is ((-663)/(-30940))/(66/154)?
1/20
Evaluate (62573/12770)/((-7)/(-8)).
28/5
Evaluate 2 - (8 - 981/108)/(((-60)/55)/2).
1/72
(-99)/(-4)*(-4)/6*-6
99
Evaluate -1 + (-68)/(-76) - ((-18000)/190)/(-12).
-8
What is 621/(-14 - -83) - (-19)/(-6)?
35/6
Evaluate 100 - 114 - 108423/(-8337) - (-1 - 0).
2/397
What is the value of (2173 - 2168) + (-1 - (-14)/(-11)) + 0?
30/11
What is the value of 4 - (-1413)/(-72) - -15 - (-8420)/160?
52
Evaluate 79/((-20)/(-16) - ((-793)/(-61) + (-172)/16)).
-79
Evaluate (-28294)/(-230) + (-1246)/71645.
123
(-98)/((-43512)/2146) + (-1)/(-6)
5
What is 4 + 1/1 - (809325/(-218))/(-297)?
-15/2
54/42 + (-17716)/148995*11
-1/45
Evaluate -31 + 1089/(-33) + 52 + -54.
-66
Evaluate ((-442)/(-39) + -5 - (22 + 1)) + 13.
-11/3
5 - (-1038)/(-272)*(-2352)/(-1764)
-3/34
Evaluate -20 + -64 + 986/(55 - 21).
-55
What is the value of 2/((-217)/21 + -11 - -22) + 53*-1?
-50
What is the value of 6/(-32) + (122 - 36725/400)?
30
Evaluate -475*60/(-570) + -5.
45
What is the value of (-392)/(-13) - (0 - 10/(-190) - (-650)/6422)?
30
What is (((-492)/60)/(-41))/(-7)?
-1/35
20/30*(-1485)/90 - -22
11
What is (-40)/18 + (72/27 - (-70)/(-42))?
-11/9
Calculate (-11550)/(-450)*63/(-77).
-21
What is the value of (-988)/1520 + 4/16?
-2/5
15 + (0 - 176/(-5))/(-144 + 159562/1105)
103
(-190 + 134)/(-12 - (-223)/18)
-144
What is 2000/(-2000)*2*19?
-38
Evaluate -66 - (-2976)/(121 + -28).
-34
Calculate ((-3)/222)/((-9306)/(-376) + (1 - 25)).
-2/111
Evaluate 209/950*(-6 - 48/(-36))*(-12)/154.
2/25
-27 - 25428/(-910) - ((1 - 3) + 3)
-2/35
What is (-8)/(-44)*22337/(-6382)?
-7/11
What is 6/(-11)*(18 - (-3666)/(-156))?
3
What is (41/((-1066)/(-52)))/ | {
"pile_set_name": "DM Mathematics"
} |
)*3*4))**2.
8/81
Simplify ((sqrt(6655)*-2)/(1*sqrt(180)) + (sqrt(2816) + sqrt(2816) + -1)*-2*5)**2.
-19420*sqrt(11)/3 + 10372151/9
Simplify 0 + ((sqrt(204)/sqrt(48))**2 - (sqrt(17) + (-1*sqrt(204))/sqrt(12))**2) + (5*-1*sqrt(187) - sqrt(187))/(sqrt(132)/(sqrt(36)/sqrt(3))).
-6*sqrt(17) + 17/4
Simplify (((1*(sqrt(11) - (sqrt(11) + -1)) + sqrt(33)/sqrt(27) - (sqrt(110)*3)/sqrt(10)*3) + 1)*5)**2.
-2600*sqrt(11)/3 + 186800/9
Simplify 3 + sqrt(45) + (1*sqrt(5) + -2)**2 + (sqrt(3840)*1 + sqrt(3840))/(sqrt(108)*2).
5*sqrt(5)/3 + 12
Simplify (((-1*sqrt(119) - sqrt(119)) + sqrt(119))*-3*-1*2)/(5*-2*-1*sqrt(252)).
-sqrt(17)/10
Simplify -2 + 4*3*((4 + sqrt(432) + -1)*-3*-5 + -4 + 0)**2.
177120*sqrt(3) + 1186570
Simplify 6*-5*(((sqrt(1872) + 4 + sqrt(1872) + -1 - sqrt(1872)) + 0)**2 + -5*(sqrt(1872) - 1*(sqrt(1872) - (sqrt(1872) + -2))**2)).
-57030 - 360*sqrt(13)
Simplify -3*(sqrt(171) + (-2*sqrt(171)*-3 - sqrt(171)) + (-1*sqrt(171) - sqrt(171))*4)/((sqrt(81) + -6*sqrt(81)*3)/sqrt(9)).
-6*sqrt(19)/17
Simplify ((2 + 1 + -3*(1 + sqrt(1377) + 1) + 0)*4*5)**2.
64800*sqrt(17) + 4960800
Simplify (-4*(sqrt(63)/(-1*sqrt(144) + sqrt(9)))**2 + ((sqrt(7) - (-4 + sqrt(252)))**2 - (sqrt(7) - (1 + sqrt(567)))))*-3.
-1700/3 + 96*sqrt(7)
Simplify 4 + -1*sqrt(931) + 4 + 2 + -4 + (0 + sqrt(931) - sqrt(931)) + (sqrt(931) + 1 + sqrt(931)*-1)**2.
-7*sqrt(19) + 7
Simplify -2 + ((-5*(sqrt(1584) + sqrt(1584) + -2) + sqrt(1584)*3 + -3)*-5)**2.
-29400*sqrt(11) + 1941623
Simplify (4*sqrt(45)/(sqrt(243)*-2))/((-2*sqrt(18)*6)/(sqrt(12)/sqrt(2)*-4 + sqrt(6))).
-sqrt(5)/18
Simplify (-5 + 1 + 3*(sqrt(19) + sqrt(2299) + -1) + 1 + -6*(0 + sqrt(475)) + 0)**2.
-72*sqrt(19) + 720
Simplify (-5*sqrt(68)/sqrt(2)*-1)/((sqrt(200) - (sqrt(200)*-1 + sqrt(200))*-6) + sqrt(200))*4.
sqrt(17)
Simplify (-2 + sqrt(5)*-4 - (sqrt(5) - ((sqrt(5)*-1 - sqrt(5)) + -3))**2) + 2 + 0 + sqrt(25)/sqrt(20).
-54 - 43*sqrt(5)/2
Simplify (-4*-6*sqrt(96)/((sqrt(2) - sqrt(18)) + sqrt(2)) - (4*sqrt(270))/(sqrt(30)/((sqrt(3) + sqrt(18)/sqrt(6) + sqrt(3) - sqrt(3)) + sqrt(3))))**2.
52272
Simplify -4*((-3 + sqrt(17)*3)**2 - (sqrt(17) - ((-2 + sqrt(1700))**2 - sqrt(1700)))) - (5 + ((sqrt(17)*-2 - sqrt(17))*1 - (sqrt(153)/sqrt(3))/sqrt(3)))*-5.
-7439 + 256*sqrt(17)
Simplify 6*(5*(sqrt(343) + 4 + -1)*-4 + 3)**2*5*-4.
-16853880 - 1915200*sqrt(7)
Simplify (sqrt(119) + sqrt(119)*-2*-5 + (sqrt(119) - (-2*sqrt(119) - sqrt(119)))*-4)/(((1*sqrt(1008) + sqrt(1008) - sqrt(1008))*4 - sqrt(1008)) + sqrt(1008)).
-5*sqrt(17)/48
Simplify 2*(-5 + (-6*(3 + sqrt(112)))**2*-6 + 4).
-52274 - 10368*sqrt(7)
Simplify 5 + (5*(1*sqrt(112) + 1))**2 - (5 + (sqrt(2268) + 2 - sqrt(28)) + 1).
184*sqrt(7) + 2822
Simplify (sqrt(132)/((sqrt(36)*2)/sqrt(3))*-4 + (2 + -1*sqrt(11))*-1 + 2)**2.
11
Simplify (-4 + 6*((sqrt(847) - (-2 + sqrt(847))*6) + (sqrt(847) - (sqrt(847) + -4 + sqrt(847)*1)))*2)**2 + 5.
-297792*sqrt(7) + 4426197
Simplify (-4*sqrt(153)*-3*-4)/(sqrt(9) + (1*sqrt(225) + sqrt(225) - sqrt(225)) + sqrt(1089) + sqrt(1089) + sqrt(1089)*2)*1.
-24*sqrt(17)/25
Simplify ((1*(1 + (sqrt(2448) - (-2 + sqrt(2448))))*-4 + -5)*-5 + 5)**2.
8100
Simplify (-2*((-1 + sqrt(125) + -2)*3 - (sqrt(125)*-1 + 0 - sqrt(125))*-4)*1)**2.
1800*sqrt(5) + 12824
Simplify (-1*sqrt(720)*-2*5)/(4*((sqrt(640) + (sqrt(640) - 1*sqrt(640)) - sqrt(640)) + sqrt(640)) + sqrt(640) - sqrt(640) - sqrt(640)).
5*sqrt(2)/2
Simplify (-5*(sqrt(684) + 3*(sqrt(684) + sqrt(684) + 2 + sqrt(684) + sqrt(684)) - (-4 + sqrt(684)*3) - (1*(3 + sqrt(684)) + -3*sqrt(684) + 0)))**2.
25200*sqrt(19) + 2463625
Simplify -1*(sqrt(605) - (sqrt(605) + 0))*4*6 + 2 + 5 + 5.
12
Simplify (6*-2*(sqrt(187) - (sqrt(187) + 5*((sqrt(187) - (1*sqrt(187) - sqrt(187))) + sqrt(187)) + sqrt(187))))/((sqrt(66)*1*-6 - sqrt(66))/sqrt(6)*3).
-44*sqrt(17)/7
Simplify ((4*((sqrt(76) - sqrt(76)*-2)*-2 - (sqrt(76) + sqrt(76)*-2)*-3))/(1*sqrt(16)*5*1))**2.
6156/25
Simplify -3*(-4 + ((1*sqrt(3500) - sqrt(3500))*-3)/(sqrt(15)/sqrt(3)*1 + sqrt(5) - sqrt(55)/(sqrt(11) + sqrt(99)))).
12
Simplify -4 + (-2 + (sqrt(72) + 2)**2)*-4 - (4 + sqrt(10)/(6*-1*sqrt(5)) + 4).
-308 - 575*sqrt(2)/6
Simplify -2*((sqrt(272) + 0)**2 - (-2 + -1*sqrt(17) + sqrt(17))) + 6*((sqrt(17) + (2*sqrt(153))/sqrt(9) + sqrt(17))**2 + -3 + -4).
1042
Simplify -6*(-1 + -1 + (3 + sqrt(2448) - sqrt(2448))*-5*5).
462
Simplify (sqrt(441)/(sqrt(1296) + 5*sqrt(1296) - sqrt(9)))/(-5*sqrt(21)/(sqrt(21)/sqrt(7)))*-4.
4*sqrt(7)/355
Simplify -2*1*(1*sqrt(19))**2*-2 + ((0 + sqrt(475))*2 + (sqrt(475) - -1*sqrt(475)*-2) + sqrt(475))**2.
1976
Simplify 2*-3*(-2 + -3*sqrt(304) + (sqrt(304) - ((-2*(sqrt(304) + -3 + sqrt(304) - sqrt(304) - sqrt(304)))**2 - sqrt(304))) + -5)*6.
144*sqrt(19) + 1548
Simplify (sqrt(132) + sqrt(132)*-2 - sqrt(33) - 2*sqrt(825))/(sqrt(88)/((sqrt(200) - sqrt(8))*6)).
-312*sqrt(3)
Simplify -3*(sqrt(900)/sqrt(5) - (sqrt(40) - sqrt(40)*1)/sqrt(8)) - ((sqrt(45) + (sqrt(180) - sqrt(45)))*-2 - (-1*(-1 + sqrt(5) + sqrt(5)))**2*5).
-26*sqrt(5) + 105
Simplify ((-2 + (sqrt(1300) + -6*1*sqrt(1300) + 5)*-5)*-2*-6)**2.
-1944000*sqrt(13) + 117104976
Simplify 3*((sqrt(17) + sqrt(170)/(-3*sqrt(10)) + sqrt(17) + sqrt(17) + sqrt(17))*4 - (-1 + -5*sqrt(17) + -2))*-6.
-354*sqrt(17) - 54
Simplify 0 + ((sqrt(2156)*-2*6)**2 + ((-2*sqrt(2156) + sqrt(2156))*-2)**2 - (4 + sqrt(2156) + -1 + 1)).
-14*sqrt(11) + 319084
Simplify (-4 + (1 + sqrt(500) - sqrt(500)) + (sqrt(500) - (sqrt(500) - (0 + sqrt(500) + -4)**2)) - ((sqrt(500) + -1)*-4*-4)**2)*4.
-510972 + 20160*sqrt(5)
Simplify (-4*sqrt(832) - sqrt(91)/(sqrt(56)/sqrt(8)) - (-3*(-3 + sqrt(13)) + (sqrt(143)*-1)/sqrt(11)))**2.
522*sqrt(13) + 11014
Simplify ((3 + sqrt(125) + -2 - sqrt(125)) + 4 + (2 + sqrt(125) + -2)*5)**2*1.
250*sqrt(5) + 3150
Simplify (sqrt(208) - (sqrt(208) - (sqrt(208) + 1 + sqrt(208) + -5)) - (-1 + sqrt(208)*1))**2*-2 - (0 + 4 + -1 + (0 + sqrt(13) + -2)**2).
-454 + 52*sqrt(13)
Simplify (2*3*sqrt(18)*-4)/(((1*sqrt(72))/sqrt(12) - sqrt(6)) + 2*sqrt(384))*-5*-4.
-30*sqrt(3)
Simplify 0 + (((sqrt(459) - 3*sqrt(459)*-5)/sqrt(9))/(((sqrt(15) + (sqrt(15) - -2*sqrt(15)))/sqrt(5) - sqrt(3)) + (sqrt(21)/(sqrt(21)/sqrt(3)) - sqrt(3))))**2.
4352/9
Simplify (1*6*-2*sqrt(72))/(-1*(sqrt(6) + sqrt(12)/sqrt(2) + sqrt(6)) - (sqrt(6) - (sqrt(72)/sqrt(4))/sqrt(3))).
8*sqrt(3)
Simplify 3*(-5 + (sqrt(95) - -1*1*sqrt(95))/(sqrt(80)*-4) + -5).
-30 - 3*sqrt(19)/8
Simplify (sqrt(300) + 2 + sqrt(33)/sqrt(275) + -3 - (6*(1*sqrt(75) - sqrt(3)) + -4))*-1.
-3 + 69*sqrt(3)/5
Simplify ((sqrt(110)/(sqrt(20)/sqrt(2)*6) - (0 + (sqrt(11) + -2 + sqrt(11))*3)**2) + -4)*6.
-2616 + 433*sqrt(11)
Simplify -2*(-3 + (((sqrt(195) - -1*sqrt(195))/sqrt(5))/(-2*sqrt(192)) - (sqrt(208) - (sqrt(208) + 1 + -1))*-1)**2).
179/32
Simplify -5 + (-4*(-3 + sqrt(108)*-2 + sqrt(108) + (sqrt(108) - (sqrt(108) + 1 + 4 + sqrt(108))) + -5*(sqrt(108) - (sqrt(108) + 0 + -1))))**2 + -5.
4992*sqrt(3) + 9606
Simplify ((-1 + sqrt(1088) - 3*(2 + sqrt(17) - sqrt(17))) + 3*sqrt(102)/(sqrt(6) + (sqrt(600)*-3 - sqrt(600))))**2.
-1442*sqrt(17)/13 + 188634/169
Simplify -1*5*(-6*(sqrt(847) + -4*(4 + sqrt(847))**2 - sqrt(847)) + -3).
-103545 - 10560*sqrt(7)
Simplify (-3 + sqrt(108)*2 - (1 + sqrt(108) + sqrt(108) + -3) - ((6*(sqrt(3) + sqrt(6)/sqrt(2)) - sqrt(3) - (-5 + -1 + sqrt(3))) + 1))**2 + 1.
160*sqrt(3) + 365
Simplify (-5 + -2 + (0 + sqrt(48) - sqrt(3)*-1*-4 - (2 + sqrt(192))))*5.
-40*sqrt(3) - 45
Simplify (-2*(sqrt(1539)*3 + 5)**2 - (-2*(4 + sqrt(1539)*1))**2)*1.
-33972 - 828*sqrt(19)
Simplify -1 + (2*-5*(sqrt(3) - ((sqrt(27) - sqrt(3)) + 4)) - (-2 + sqrt(3)*-1 - (sqrt(3) + (sqrt(432) - (2 + sqrt(432) - sqrt(432))))))**2.
1920*sqrt(3) + 3327
Simplify (((sqrt(133)*2*1 - sqrt(133)) + sqrt(133))*-1*2*5)/((sqrt(1008) - 1*3*sqrt(1008)) + 3*(sqrt(1008)*3 + sqrt(1008)) + sqrt(1008)).
-5*sqrt(19)/33
Simplify (-5*(-1*sqrt(85)*-5 - (sqrt(85) + -6*(sqrt(85) - sqrt(85)*-2) + sqrt(85))))/(3*sqrt(80) + sqrt(20)/sqrt(36)).
-315*sqrt(17)/37
Simplify (2*sqrt(187)*-4 - (sqrt(187) + sqrt(187) + sqrt(187) + -1*sqrt(187))*-4)/((1*sqrt(275) - sqrt(275) - sqrt(275))*-3*-2).
0
Simplify 1 + (sqrt(7) + sqrt(28)/(sqrt(12)/sqrt(3)) - sqrt(7) - (-3 + (sqrt(7) - (3 + sqrt(7)))))**2 + (4 + sqrt(175))**2 + (sqrt(7) - -4*sqrt(175)).
73*sqrt(7) + 235
Simplify (sqrt(2662)*2)/(sqrt(2)*-1*6)*1*-5*2.
110*sqrt(11)/3
Simplify (sqrt(390 | {
"pile_set_name": "DM Mathematics"
} |
8 + 12.298438. Let t = q + -12. What is t rounded to 4 decimal places?
0.0006
Let y = -12.999995 + 13. Round y to 5 decimal places.
0.00001
Let k = -217691.593 - -217720.5929953. Let d = 29 - k. What is d rounded to six dps?
0.000005
Let w = 99263.869966 + -99302.87. Let d = 39 + w. What is d rounded to 5 dps?
-0.00003
Suppose 0 = u + 2*u - 11595252. Suppose -2*p - 4*j = -u, p + 2*j - 1932546 = -2*j. Let m = -3067462 - p. Round m to the nearest one million.
-5000000
Suppose -7*p = -891 - 2399. Round p to the nearest one hundred.
500
Suppose -3*v = -8*v + 10. Let w be (0/4)/v - -60. What is w rounded to the nearest 100?
100
Let s be (131006/4)/((-2)/(-4)). Let r be (-400)/2*(-3 + s). Round r to the nearest one million.
-13000000
Let h = 22.8 - 26. Round h to the nearest integer.
-3
Let r = 81 + -52. Let v = -29.000011 + r. Round v to 5 dps.
-0.00001
Let k = -25 + 15. Let r = 10.0003 + k. What is r rounded to three dps?
0
Let v = 2.4 - 2.358. Let i = -0.995 + 1. Let o = i - v. What is o rounded to 2 dps?
-0.04
Let c be 2/(-1) + 2 - 13518. Let v = -40518 - c. What is v rounded to the nearest 10000?
-30000
Let u = 0.3 - -2.7. Let w = -2.992 + u. What is w rounded to three dps?
0.008
Let b = -5903 + 5910.0008. Let f = b + -7. What is f rounded to 4 decimal places?
0.0008
Let q(b) = 8*b**2 - 7*b + 9. Let c be q(13). Round c to the nearest 100.
1300
Let q = -4 - -4. Suppose c - 260 = -q*c. Round c to the nearest 100.
300
Let g = 32.499999677 - 32.5. Round g to seven decimal places.
-0.0000003
Let t = -3.6 + 3. Let q = -0.60000032 - t. What is q rounded to seven dps?
-0.0000003
Let u be (625/(-10))/(0 - 1/6752). Round u to the nearest 100000.
400000
Let h = -5700 - -12900. Suppose -p - h = 2*p. Round p to the nearest 1000.
-2000
Suppose -17143 = -v + 8858. Let f be (-10)/(-20) - v/2. What is f rounded to the nearest ten thousand?
-10000
Suppose 0 = -9*g + 4*g + 15. Suppose 0*r + g*r = -5*s + 2441, 5*s = -5*r + 2435. Round s to the nearest 100.
500
Let h = 0.01 - 0.092. Let p = -0.082258 - h. What is p rounded to 5 dps?
-0.00026
Let b = -323.99793 + 324. Round b to four dps.
0.0021
Let m = -4 + 8. Let b = 7268013 + -963776. Suppose m*z + b = -4495763. What is z rounded to the nearest one million?
-3000000
Let l = 0.052 + -0.0497. Round l to 3 decimal places.
0.002
Suppose 5*y - 12 = 2*y. Let n(v) = y*v - 2 + v + 4. Let d be n(9). What is d rounded to the nearest 10?
50
Let r = -6 - 1. Let c = r + -75. What is c rounded to the nearest ten?
-80
Let n = -0.42166 - -357.09966. Let r = n - 402.6862. Let b = r - -46. What is b rounded to three decimal places?
-0.008
Let y = -1014 + 993.44. Let m = -20 - y. What is m rounded to one dp?
0.6
Let l = 5278.137 + -5274. Let i = 4 - l. Let y = i + 0.198. Round y to 2 dps.
0.06
Let f = 0.8 - -2.7. Let g = f + -6.3. What is g rounded to the nearest integer?
-3
Let l = 6.2653 + 48.8577. Let d = -0.123 + l. Let b = -54.999934 + d. What is b rounded to 5 dps?
0.00007
Suppose 2*q - 19102792 + 3896880 = 0. Let x = -3197044 - q. Round x to the nearest 1000000.
-11000000
Let p = 75 - 75.0078. What is p rounded to three decimal places?
-0.008
Let r = 265273 + -265272.000052. Let h = -1 + r. What is h rounded to 5 decimal places?
-0.00005
Let s = 128.59 - 0.59. Let a = -138.8 + s. What is a rounded to zero dps?
-11
Let q = 0.09100053 - 0.091. What is q rounded to 7 decimal places?
0.0000005
Let f be (-84)/(-105) - (2 - (-2570012)/(-10)). What is f rounded to the nearest 100000?
300000
Let p = 7.3 + -14.7. What is p rounded to the nearest integer?
-7
Let d(r) = 89999*r**3 + r - 2. Let n be d(-2). Suppose 5*b = 6*z - z - 45, -4*b + 3*z = 37. Let g be (-4)/b - n/10. What is g rounded to the nearest 10000?
70000
Let i = -1.634032 - -89.626732. Let d = -163 + 251. Let h = i - d. What is h rounded to 3 dps?
-0.007
Let z = -42 + 42.017. Let b = z - -0.145. Let v = 0.16067 - b. What is v rounded to 4 dps?
-0.0013
Let i = 29 + -28.9999888. What is i rounded to six decimal places?
0.000011
Suppose -3 = -j, -3*d = 3*j - 26 - 1. Suppose d - 4 = -l. Let y = 45 + l. Round y to the nearest ten.
40
Suppose -b - b - 1050 = 0. Let v be b/(-20) - (-3)/4. Let w = 69 - v. Round w to the nearest 10.
40
Let f = 116.7 + -107. Let k = f - 2.9. Round k to the nearest integer.
7
Let j = -1212525721560 + 1212525062053.700003. Let b = j - -659506. Let z = b - -0.3. What is z rounded to 6 dps?
0.000003
Let l = -350529.46293 + 350531. Let t = -0.07113 - l. Let n = t + 1.6. What is n rounded to three decimal places?
-0.008
Let m = -46.3 - 6.7. Let r = 53.00000062 + m. What is r rounded to 7 dps?
0.0000006
Let t = 0.8000003 - 0.8. Round t to six dps.
0
Let h be (3 - 4)*(-1001 - -1). Suppose z + 4*z = h. Round z to the nearest 1000.
0
Let q = 557.37 + -555. Let l = q - -2.67. Let v = -0.66 - l. Round v to zero dps.
-6
Let l be -3920000*(0 + 30/(-4)). What is l rounded to the nearest one million?
29000000
Let w = 7 + -6.85. Let o = -0.1525 + w. What is o rounded to 3 dps?
-0.003
Let m = -349158.0117 - -349122. Let j = m - -36. Round j to 3 dps.
-0.012
Let u = 14 + -15.6. Let t = u + 1.29. What is t rounded to 1 decimal place?
-0.3
Suppose -15 = -6*g + 3*g. Suppose 4*h = -2*t - 2, 2*t - 3*h - 2 = -g*h. Suppose -3*q - t = -2*q. What is q rounded to the nearest integer?
-3
Let a = -103.03 - -103. Round a to 1 decimal place.
0
Let l(z) = 243749*z**2 - 3*z + 10. Let v(c) = -c + 1. Let w(n) = -l(n) + 6*v(n). Let a be w(4). Round a to the nearest 1000000.
-4000000
Let q = -10 + 5. Let c = q + 5.57. Round c to one decimal place.
0.6
Let p = 0.026 + 21.974. Let m = p - 9. Let u = -12.32 + m. What is u rounded to one dp?
0.7
Let c = -0.232 + 0.012. Round c to one dp.
-0.2
Let b = -0.12956 - -0.133. What is b rounded to three dps?
0.003
Let y = -0.03 + 3.53. Let v = y - 3.612. What is v rounded to two dps?
-0.11
Let z = -23801549742.62201966 + 23464727452.922019. Let o = 336822286 + z. Let x = -3.7 - o. Round x to seven decimal places.
0.0000007
Let q = -27.9 + 25. Let r = q - -2.90076. What is r rounded to four dps?
0.0008
Let a = -19.6 + 5.2. What is a rounded to zero dps?
-14
Let y = 17 + -29. Let l = -12.00000048 - y. What is l rounded to 7 dps?
-0.0000005
Let a = 0.4 - 0.475. Let m = -7.16 + 7. Let k = a - m. What is k rounded to two dps?
0.09
Let r = 0.1072 - -0.3998. Round r to one dp.
0.5
Let i = -30 + 32.86. Round i to 1 dp.
2.9
Let y = -0.253 - 171.747. Let h = 171.999862 + y. What is h rounded to five decimal places?
-0.00014
Let f = -21859.59994 + 21860. Let m = f + -0.4. Round m to 5 decimal places.
0.00006
Let d = -220.2254 - -351.22631. Let t = 136 + -267. Let x = d + t. What is x rounded to four dps?
0.0009
Let l = 97048.7999996 + -97048.3. Let w = -0.5 - -1. Let r = l - w. Round r to seven dps.
-0.0000004
Let i = -23559 - 90441. Round i to the nearest ten thousand.
-110000
Suppose 14*g + 2073 = -4787. Round g to the nearest 100.
-500
Suppose i - 31 = -3*i + 5*u, 3*i + 4*u = 0. Suppose n + 40 = -i*o + 139, -5*o = -3*n - 145. Let t be 100000/(-1 - o/(-24)). Round t to the nearest 1000000.
1000000
Let y = 35 + -35.0000005. Round y to 7 dps.
-0.0000005
Let j = -128 - -128.063. Let m = -0.062957 + j. What is m rounded to five dps?
0.00004
Let o = -5136.1448517 + 5101.14485. Let l = 0.7 + -35.7. Let s = o - l. What is s rounded to 6 decimal places?
-0.000002
Suppose -3*l + 46785 = -0*l - 3*s, 2*s = l - 15599. Suppose 2*o = -0*o + 51182. Let i = o - l. What is i rounded to the nearest one thousand?
10000
Let t = -421 + 991. Let y = t + 120. Round y to the nearest 100.
700
Let k = -37.1 + -175.9. Let z = 213.0093 + k. What is z rounded to 3 decimal places?
0.009
Suppose v + 2*v - 2040002 = -i, 3399990 = 5*v - 5*i. What is v rounded to the nearest 100000?
700000
Suppose -4 = -3*u - 13. Let a be ((-19164)/9)/(1/u). Suppose -2*h + 6*h + a = 4*v, -3*v + 4812 = 4*h. Round v to the nearest 1000.
2000
Suppose 136 = -3*o - 4*v, -o - v - 47 = 2*v. What is o rounded to the nearest 10?
-40
Let t be (-1)/4 + 9/4. Let a be t + -2 + 460000/(-1). Round a to the nearest 100000.
-500000
Let h = 3.87 + 0.23. Round h to 0 dps.
4
Let l be (-1 + 5)*30/(-8). Let q be (27500/l)/((-2)/18). What is q rounded to the nearest one thousand?
17000
Let g = -117 + 110.7. Let w = g + 6. Le | {
"pile_set_name": "DM Mathematics"
} |
2. Let v = w - -26. Which is the third smallest value? (a) v (b) 1/3 (c) 6
c
Let r(y) = y**2 - 3*y. Let n be r(3). Suppose 4*u - m = 13, 0 = -n*u - 4*u - 2*m + 10. What is the third smallest value in -2/7, 4, u?
4
Suppose 15*l + 110 = 20*l. Suppose -l*y + 23*y - 3 = 0. What is the third biggest value in y, -3, 0.5?
-3
Let d = -419.6 - -420. What is the third smallest value in -2/5, 4, d, 36?
4
Let x = 1914 + -2005.3. Let o = 91 + x. Let q be (-5)/28 - (-1)/(-4). What is the second smallest value in q, -4, o?
q
Let g = -183.15 - -183. What is the second biggest value in 1, g, 0.01, 0.5?
0.5
Let v = 19 - 21. Suppose 2*n = 3*w + 2, 5 = 3*n - 4*w - 0*w. Let k be (-14)/49 - (-2)/n. What is the biggest value in 0.5, k, v?
0.5
Let k = 12 + -21/2. Suppose -2*f + 4*f + 8 = -3*x, 4*x + 26 = 5*f. Let i = 192 - 195. What is the second smallest value in i, x, k?
i
Let k be 0 - ((-7)/(-5) - 1). Let t = -23.663 + 14.663. What is the third smallest value in k, -1, -4, t?
-1
Let l = -15.29 + 14.99. Which is the third smallest value? (a) 5 (b) -2 (c) l (d) -2/115
d
Let h = 2.7 - 2.9. Let m be (0 - -1)*0 + 0. Suppose -j + 2*u + 0 + 1 = 0, m = 3*j + 2*u - 3. What is the smallest value in h, -5, j?
-5
Let k(d) = -4*d + 25. Let l be k(6). What is the second biggest value in -0.5, -29, -2/13, l?
-2/13
Let g = 0.0019 + 0.2981. Let k be (12/21)/(3/(-7)). What is the third biggest value in 5, k, g?
k
Let i = -258 + 118. Let o be (4 - i/(-36))/(4/(-30)). Which is the third biggest value? (a) o (b) 5 (c) -0.3 (d) -3/5
d
Let p be (1 - 3)*3/30. Let v = -217.4 + 217.7. Which is the third biggest value? (a) -8 (b) p (c) v
a
Let h(z) = -z**3 + 12*z**2 - 11*z + 7. Let d be h(11). Let p = d + -7. Suppose p = i + 2 - 1. What is the smallest value in -2, -5, i?
-5
Let z = 0.28 - 49.28. Let w = -48.9 - z. Which is the second biggest value? (a) w (b) 33 (c) -1/5
a
Let l = 237/2 + -117. Let q be (-2)/(-3)*36/(-304). Let d = -49/342 + q. What is the third biggest value in 1, d, l?
d
Suppose 4 - 13 = y. Let m = y - -14. Which is the fourth smallest value? (a) m (b) -7 (c) 4/7 (d) -2/17
a
Let h = -6.62 - -9.62. Which is the smallest value? (a) 0.3 (b) h (c) 2/7 (d) 0.064
d
Let t = -0.0967 + 0.1967. What is the biggest value in t, 9/7, -11?
9/7
Let w = -1.4 - -1. Let u = 884 + -7957/9. What is the fourth smallest value in 1/4, w, u, 2/27?
1/4
Let d = -1.11 + 0.11. Let i = -275 - -1657/6. Let r = i + -8/3. Which is the third smallest value? (a) r (b) d (c) 0.5
c
Let i be ((-43)/6 + 7)*-3. What is the third smallest value in -0.2, 2, i, -0.02?
i
Let z = -19 - -15. Let n be z/(-18) - 18/81. Suppose g + g + 4 = n. What is the second smallest value in 2, -0.1, g?
-0.1
Let a = 0 - 0.3. Let p = -23/36 + -1/36. Let w = -21 + 20. What is the third biggest value in a, p, w?
w
Let t = -0.02 - -0.19. Let i = -1.83 - t. What is the smallest value in -5, -2/9, i?
-5
Let g = 1 - -12. Which is the second smallest value? (a) g (b) -0.2 (c) -2/9
b
Let d = -37/34 - -10/17. Let g be 28/((-3 + 0)/3). Let r be (4/(-14))/((-6)/g). Which is the smallest value? (a) d (b) 2/15 (c) r
c
Let g = -103 + 97. Which is the fourth smallest value? (a) -0.4 (b) g (c) 8 (d) -3
c
Let n = -0.3 - 0.7. Let j be (-1)/4*-6*(-2144)/5460. Let u = j - 1/91. Which is the smallest value? (a) n (b) -0.5 (c) u
a
Let r = 0.16 + 23.84. Let t = -26.938 + -0.062. Let i = r + t. What is the biggest value in -5, i, 0?
0
Let w = -0.8794 - 0.0206. What is the fourth smallest value in -6, 0.3, w, 1?
1
Suppose 8 = x + a + 11, -4*x + 5*a - 39 = 0. What is the second biggest value in x, 0.21, -0.3?
-0.3
Let a = 59.59 + -59. Let h = a - 0.09. Let u = 6 + -2. What is the smallest value in 2/17, u, h?
2/17
Let k = -0.551 + -6.449. Which is the third smallest value? (a) 2 (b) -1 (c) k
a
Let v = -41 + 14. Let s = 27.2 + v. What is the biggest value in s, 6, 4?
6
Let n = 24.5 + 95.5. Let k = -120.4 + n. Which is the third biggest value? (a) k (b) 0 (c) -6 (d) 3/7
a
Let k = -86 + 119. Let x = -163/5 + k. What is the second biggest value in -1, -0.1, -3, x?
-0.1
Let c be -11 - 92*(-7)/56. What is the third biggest value in 10, -0.4, c?
-0.4
Let d = 32.87 - 33. Let z = d - 4.87. Let l be 50/(-88) - (-3 + 18/8). Which is the third smallest value? (a) z (b) -3/5 (c) l
c
Let u = 0.121 - -0.179. Let p = 2 + -4. What is the third biggest value in u, p, 1/8?
p
Let f be (-43)/15 + (6 - 3). Let h = -7 + 6.5. Which is the third biggest value? (a) h (b) f (c) 0.17
a
Let s = -7217/10 - -722. What is the second smallest value in s, -4, 5, 3?
s
Suppose 91 + 59 = -5*k. Let c = k + 20. Let l = -21/2 - c. What is the second smallest value in 4, -4/5, l?
l
Let r be 3/4 - (-39)/12. Let l be r/16 + (-1)/2. Let h be (2 + (-21)/9)*0. What is the second smallest value in -3/4, h, l?
l
Let z = -690 - -690.1. What is the second biggest value in 0.004, -2, z, 1/8?
z
Suppose 0 = -4*l + 9 + 3. Let t = -44 - -55. Suppose 0 = -13*k + t*k - 4. Which is the third smallest value? (a) 1 (b) k (c) l
c
Suppose 0 = 3*i - 4*i + 4. Suppose 379*q = 378*q + 3. Let u be -5 + i + 7/q. What is the second smallest value in u, -1, 1?
1
Suppose 0*z - 29 = -z - 5*f, 3*z - 23 = f. Let w be 3*2/z*-3. Let g be (7/(-35))/(w/(-4)). What is the biggest value in 1, g, -1/8?
1
Suppose -41*k = -44*k + 6. Let o(m) = -m**3 - 3*m**2 + m - 3. Let h be o(-4). Which is the second biggest value? (a) k (b) h (c) 4
c
Let z = 196 + -1565/8. Let l be -1 + (1 - 0) - 2. Let k be (-44)/(-10) - (2 - l). Which is the second smallest value? (a) -6/7 (b) k (c) z
c
Let i = -0.4 - 0. Let k = -12.4 + 0.4. Let y = -11.5 - k. Which is the biggest value? (a) i (b) y (c) 0.2
b
Let k = -18 + 20.6. Let v = -0.6 + k. Which is the third smallest value? (a) -0.4 (b) v (c) -5
b
Let l = -0.033 + -0.167. Let t = -51 + 50.6. Which is the third smallest value? (a) 2/5 (b) t (c) 6 (d) l
a
Suppose -4*k = n + k + 17, 2*n = 2*k + 26. Suppose -29 = -n*d - 5. What is the second biggest value in 0.1, 2/3, d?
2/3
Let s = 102873/125 - 823. Which is the third smallest value? (a) 5 (b) -4 (c) s
a
Let w = 31/45 + -4/45. Let q = -5 + 5.1. What is the biggest value in -0.2, w, q?
w
Let c = -2.9 - -3. Let v = 1813/1130 - 1/226. Let p = -2 + v. What is the second biggest value in p, -4, c?
p
Let t = 14 + -16. Which is the second biggest value? (a) -16 (b) -2/5 (c) t
c
Let p = -2947/3 + 982. Which is the biggest value? (a) -0.06 (b) p (c) -0.4
a
Suppose -4*q = -44*q. Which is the fourth smallest value? (a) -4 (b) q (c) 0.1 (d) -7
c
Let f = 308 - 304. What is the smallest value in -1/7, f, 68, -4?
-4
Let l = 2.6 - 0.6. Let q = -31 - -30.988. Let c = q + 4.012. What is the second smallest value in c, -2, l?
l
Let k be 105/(-90) + -3 + 4. What is the second biggest value in 0.2, -39/5, k?
k
Let g = 26.83 + -27. Let a(i) = -2*i**2 - 9*i + 59. Let l be a(-8). What is the third biggest value in -0.2, l, g?
-0.2
Let s = -0.22 - -0.165. Let p = 0.055 + s. Which is the third smallest value? (a) p (b) 3/4 (c) 1/2
b
Let s = -26.0735 - 0.0265. Let u = 26 + s. Let c be (-6)/4*(-8)/18. What is the biggest value in c, 1/2, u?
c
Let z = 21 - 21.2. What is the third smallest value in -15/4, z, 2, 2/11?
2/11
Let o = 16 - 11. Let m(j) = -j**3 + 5*j**2 - 5*j + 4. Let l be m(2). Let d be 4/(-12)*l/4. Which is the second smallest value? (a) 0.4 (b) d (c) o
a
Let i = 96 + -1438/15. Let x(n) = n**3 - 5*n**2 + n - 3. Let j be x(4). Let f be 4/j + 8/(-24). Which is the biggest value? (a) i (b) 3 (c) f
b
Let t = 1357.8 - 1358. What is the fourth biggest value in t, 0.2, -179/3, 2/11?
-179/3
Let t = -195 + 972/5. What is the third smallest value in t, 4/7, 3?
3
Let w = 9 - 9.5. Let i = w - -1. Let r be (-34)/(-8) - 1 - 3. Which is the third smallest value? (a) -0.02 (b) r (c) i
c
Let m = -0.0038 - -5.0038. Which is the third smallest value? (a) 0 (b) m (c) 7 (d) 2
b
Let f = 8 + -7.93. Let s = -5.07 + f. Let p = -413 + 410. What is the third biggest value in s, p, -0.3?
s
Let c be 3*(0 + ((-29)/9 - -3)). What is the second smallest value in -0.4, c, -4/5, -1/2?
c
Let j = 4 - 9. Let f be 40/(-48)*-2*3. Which is the fourth smallest value? (a) f (b) 2 (c) 2/13 (d) j
a
Let k = 0.023 + | {
"pile_set_name": "DM Mathematics"
} |
n 29212955 is divided by 593.
589
What is the remainder when 50962 is divided by 768?
274
Calculate the remainder when 24538 is divided by 12207.
124
What is the remainder when 694020 is divided by 9435?
5265
What is the remainder when 18167 is divided by 7974?
2219
Calculate the remainder when 1501785 is divided by 4303.
38
What is the remainder when 646893 is divided by 6669?
0
What is the remainder when 32456 is divided by 32280?
176
What is the remainder when 1743017 is divided by 614?
485
What is the remainder when 540232 is divided by 539872?
360
Calculate the remainder when 19131416 is divided by 5.
1
Calculate the remainder when 18974 is divided by 73.
67
What is the remainder when 4254758 is divided by 252?
242
What is the remainder when 9324181 is divided by 1177?
1164
Calculate the remainder when 166044 is divided by 13956.
12528
What is the remainder when 113852 is divided by 2076?
1748
Calculate the remainder when 948547 is divided by 57.
10
Calculate the remainder when 3113111 is divided by 4354.
1
What is the remainder when 101970138 is divided by 6362?
2
What is the remainder when 14036210 is divided by 22?
12
Calculate the remainder when 8110584 is divided by 173.
171
Calculate the remainder when 41127548 is divided by 14657.
6
Calculate the remainder when 163518418 is divided by 80.
18
Calculate the remainder when 119262 is divided by 4539.
1248
What is the remainder when 204688 is divided by 25561?
200
What is the remainder when 7403 is divided by 4087?
3316
Calculate the remainder when 1592568 is divided by 4168.
392
Calculate the remainder when 151996 is divided by 3447.
328
What is the remainder when 76131 is divided by 1003?
906
What is the remainder when 894 is divided by 180?
174
Calculate the remainder when 9011089 is divided by 278.
275
What is the remainder when 17891492 is divided by 2844?
2732
What is the remainder when 59260794 is divided by 904?
882
Calculate the remainder when 11236494 is divided by 375.
369
What is the remainder when 7847942 is divided by 763?
487
Calculate the remainder when 999728 is divided by 5404.
5392
Calculate the remainder when 20750183 is divided by 1482150.
83
What is the remainder when 4043160 is divided by 10?
0
Calculate the remainder when 86709 is divided by 3435.
834
Calculate the remainder when 168142 is divided by 167326.
816
What is the remainder when 726912 is divided by 2415?
2412
Calculate the remainder when 30456513 is divided by 162869.
10
Calculate the remainder when 1478399 is divided by 54.
41
Calculate the remainder when 5040632 is divided by 1088.
1016
Calculate the remainder when 228175288 is divided by 45635057.
3
What is the remainder when 10160643 is divided by 148?
147
Calculate the remainder when 21757054 is divided by 7252345.
19
What is the remainder when 161633850 is divided by 3361?
3360
Calculate the remainder when 649316 is divided by 522.
470
Calculate the remainder when 123632 is divided by 298.
260
Calculate the remainder when 1377286 is divided by 1128.
1126
Calculate the remainder when 33131983 is divided by 12303.
4
Calculate the remainder when 3083932 is divided by 342655.
37
What is the remainder when 800753250 is divided by 494?
492
What is the remainder when 962735 is divided by 71?
46
What is the remainder when 16656746 is divided by 125?
121
What is the remainder when 341164 is divided by 92?
28
Calculate the remainder when 568568 is divided by 189361.
485
What is the remainder when 22921840 is divided by 739414?
6
What is the remainder when 17967249 is divided by 54?
45
Calculate the remainder when 478344 is divided by 1339.
321
Calculate the remainder when 91419046 is divided by 4197.
4189
What is the remainder when 236470 is divided by 2038?
62
Calculate the remainder when 25045798 is divided by 31.
30
What is the remainder when 58274 is divided by 704?
546
What is the remainder when 3075 is divided by 2195?
880
What is the remainder when 6723 is divided by 6541?
182
What is the remainder when 232865 is divided by 223?
53
Calculate the remainder when 386836 is divided by 96657.
208
What is the remainder when 381626 is divided by 5157?
8
What is the remainder when 18031912 is divided by 175?
87
What is the remainder when 214179 is divided by 15280?
259
What is the remainder when 657781 is divided by 21907?
571
What is the remainder when 1237809 is divided by 792?
705
Calculate the remainder when 5228101 is divided by 1065.
16
Calculate the remainder when 1736680 is divided by 17026.
28
Calculate the remainder when 369786 is divided by 16807.
32
What is the remainder when 91206 is divided by 4307?
759
Calculate the remainder when 18620636 is divided by 15.
11
Calculate the remainder when 1609301 is divided by 76632.
29
Calculate the remainder when 8347 is divided by 2654.
385
Calculate the remainder when 3753646 is divided by 31543.
29
What is the remainder when 12819122 is divided by 3733?
0
Calculate the remainder when 17637290 is divided by 272.
266
What is the remainder when 6012965 is divided by 3006472?
21
Calculate the remainder when 3833367 is divided by 1685.
1677
What is the remainder when 116381221 is divided by 145?
16
Calculate the remainder when 309732 is divided by 309696.
36
Calculate the remainder when 1273510 is divided by 19294.
106
Calculate the remainder when 199022650 is divided by 67.
21
Calculate the remainder when 435719 is divided by 319.
284
Calculate the remainder when 2896491 is divided by 1720.
11
Calculate the remainder when 4831767 is divided by 500.
267
Calculate the remainder when 17434739 is divided by 1013.
1009
Calculate the remainder when 766977 is divided by 135.
42
What is the remainder when 105096 is divided by 3296?
2920
Calculate the remainder when 3510324 is divided by 63824.
4
What is the remainder when 62947794 is divided by 4821?
4818
Calculate the remainder when 8062229 is divided by 44.
21
What is the remainder when 357916 is divided by 2738?
1976
What is the remainder when 1231478 is divided by 2374?
1746
What is the remainder when 8889166 is divided by 24?
22
What is the remainder when 359854 is divided by 2768?
14
What is the remainder when 3795458 is divided by 2230?
2228
Calculate the remainder when 724718 is divided by 45263.
510
What is the remainder when 29327675 is divided by 2104?
19
What is the remainder when 6374309 is divided by 754?
747
Calculate the remainder when 51527 is divided by 837.
470
Calculate the remainder when 58523912 is divided by 237902.
20
Calculate the remainder when 1620819 is divided by 273.
18
Calculate the remainder when 173319 is divided by 716.
47
What is the remainder when 812982 is divided by 6719?
6702
What is the remainder when 36676958 is divided by 431493?
53
Calculate the remainder when 7578893 is divided by 3789408.
77
What is the remainder when 128314842 is divided by 89?
71
Calculate the remainder when 15966406 is divided by 25065.
1
Calculate the remainder when 2780325 is divided by 173769.
21
Calculate the remainder when 9478039 is divided by 2539.
2491
What is the remainder when 5973150 is divided by 13099?
6
Calculate the remainder when 827213 is divided by 9387.
1157
What is the remainder when 97247 is divided by 5086?
613
Calculate the remainder when 20790494 is divided by 52.
10
Calculate the remainder when 148581 is divided by 14.
13
What is the remainder when 16712762 is divided by 42?
38
What is the remainder when 1510628 is divided by 502209?
4001
What is the remainder when 2131081 is divided by 532767?
13
What is the remainder when 63004830 is divided by 294415?
20
What is the remainder when 3839052 is divided by 150?
102
Calculate the remainder when 3259724 is divided by 344.
324
Calculate the remainder when 1027032 is divided by 63.
6
Calculate the remainder when 35316849 is divided by 3918.
3915
Calculate the remainder when 46408944 is divided by 132.
120
What is the remainder when 1809047 is divided by 107?
105
Calculate the remainder when 412100 is divided by 137334.
98
What is the remainder when 127151951 is divided by 1756?
1747
Calculate the remainder when 178629 is divided by 12284.
6653
Calculate the remainder when 4842197 is divided by 18768.
53
Calculate the remainder when 584021978 is divided by 364.
358
What is the r | {
"pile_set_name": "DM Mathematics"
} |
be u(-6). Let x be 3 - (q + (2 - 6)). Let d be -2 + 3/(x/12). Give k(d).
3
Let d(n) = -8*n. Let k(q) = -21*q + 1. Let y(r) = -8*d(r) + 3*k(r). Let a(p) = p**2 - 9*p + 7. Let b be a(7). Let g = 2 + b. What is y(g)?
-2
Let s(y) = -6*y**2 + y - 1. Let g be s(-1). Let h(t) = t**2 + 8*t - 11. What is h(g)?
-11
Suppose 5*c - 4*j - 24 = 0, -2*c - 2*c + 21 = -5*j. Suppose -c + 20 = -4*p. Let z(m) = m**2 + 5*m - 2. What is z(p)?
-6
Let n(p) = 2 - 3 + p - 4 + 1. Let q be n(3). Let l(d) = 3*d**2 + 1. What is l(q)?
4
Let f(y) = y - 16. Let j(v) = v**2 - 11*v + 26. Let q be j(9). Determine f(q).
-8
Let o(m) = m**2 - 7*m + 3. Let c(f) = -f + 1. Let y(i) = -4*c(i) + o(i). Determine y(3).
-1
Let y = -17 + 16. Let k(c) = c - 1. Let a(v) = 8*v - 8. Let o(n) = y*a(n) + 6*k(n). Let m be (6/8)/(1/4). What is o(m)?
-4
Let i(k) = 2*k - 7. Let w = 12 - 20. Let j = 7 + -20. Let o = w - j. Determine i(o).
3
Suppose -2*n + 2*w + 18 = 0, 3*n + 4 - 15 = -w. Let x(k) = -6*k - 2. Let h(a) = -a - 1. Let s(r) = n*h(r) - x(r). Give s(4).
1
Let o(x) = x**2 + 3*x + 7. Let t(u) = -4*u**2 - 13*u - 29. Let z be (-4)/(-10) + 32/20. Let a(s) = z*t(s) + 9*o(s). Determine a(0).
5
Let q(m) = -m**3 + 2*m**2 + 2*m - 2. Let l = 7 + -5. Let p be q(l). Let y(g) = -3*g + 4*g + 0*g + p*g. Calculate y(3).
9
Suppose -2*f = -5*j - 3*f - 80, -3*f = -2*j - 32. Let d = j + 20. Let r(c) = c + 2. Calculate r(d).
6
Let m = -1 - -6. Let u(g) = 5 - g**2 - g**3 + 0*g - g + m*g**2. What is u(4)?
1
Let n(g) = g - 4. Let s be n(7). Let j(o) = s*o**2 - 2*o - 6*o**2 - 3*o + 3 + 2*o**2. Calculate j(-6).
-3
Let g(o) = -o - 2. Let v be (-6)/(-9)*-3 + 2. Suppose 4*k - 3*k = v. Determine g(k).
-2
Let b(d) = -d**2 + 3*d - 3. Let p(k) = -k**2 + 7*k + 7. Let f be p(7). Let h = 3 - f. Let n(v) = -2*v - 5. Let u be n(h). Give b(u).
-3
Let x = 6 - 11. Let o be (-2)/x + 44/(-10). Let u(p) = -p**2 - 3*p + 1. Calculate u(o).
-3
Suppose 0 = -7*x + 2*x. Let d(n) = -n**2 + 4 + x + 4*n + 0. Let y(j) = 2*j - 6. Let o be y(5). Give d(o).
4
Let j(i) = 4*i**2 - 3*i + 2. Let h be j(1). Let y(g) = g**2 - 3*g + 2. Determine y(h).
2
Let l(m) = -2*m**3 + 2*m**2 - 2*m + 1. Let q be -5*(-8)/20 + -1. What is l(q)?
-1
Let s = -722 - -728. Let k(j) = 9*j - j + 0*j**3 - 8 - j**3 + 5*j**2. Determine k(s).
4
Let s(h) = -h**2 + 10*h - 9. Let u be s(9). Let w = -3 - u. Let l(a) = 2*a + 2. Give l(w).
-4
Suppose 4*x - 60 = 3*m, 2*x - 30 = m + 4*m. Suppose 0 - x = j. Let k be 3/(-3 + j/(-4)). Let h(o) = o - 5. What is h(k)?
-1
Let g(u) = -u**3 + 5*u**2 - 5*u + 5. Let c be -12*((-4)/3)/4. Determine g(c).
1
Let h(g) = 0*g + 0 - 1 + 2*g. Suppose -5*l - 2*v = -0*v - 29, -4*v + 3 = -l. Determine h(l).
9
Let b(t) be the second derivative of t**6/120 - t**5/15 + t**4/12 - t**3/3 + 3*t**2 - 11*t. Let a(d) be the first derivative of b(d). Give a(4).
6
Let r(u) = 15*u**3 + 12*u - 3*u**3 + 11*u**2 - 13*u**3 - 4. Give r(12).
-4
Let h(j) = -j. Let z be (16/6)/((-4)/(-6)). Let f(d) = 2*d - 2. Let c be f(z). Calculate h(c).
-6
Suppose -6*o - 4 = -10*o. Let p(j) = 9*j**2 - 1. Give p(o).
8
Let k(n) = 4*n**2 - n - 2. Let v(o) = 2 + 0 - 12*o + 9*o - o**2. Let b be v(-4). Determine k(b).
16
Let x(b) = -2*b. Suppose -5*r + 20 = -2*c, -27 = -2*r + 3*c - 8. Suppose r*h + 2*h = 0. Suppose -3*s + h*n + 3 = -n, -n = s - 5. Calculate x(s).
-4
Suppose -5*g = -4 - 16. Let x be g/(-10) + 6/15. Let s(j) = -j - 2. Give s(x).
-2
Let k(j) be the second derivative of -j**4/6 + 5*j**3/6 - 2*j**2 + 6*j. Let t be 2/(-3) + (-22)/(-6). What is k(t)?
-7
Let k = -4 + 6. Let o(x) = 3 - 5*x**3 + x**3 - 4*x**k + x**3 + 7*x + 2*x**3. Let n be (-5)/(5/6) - -1. Give o(n).
-7
Let u(t) = -t**2 + 4*t + 7. Let a(c) = c**3 + 17*c**2 + 15*c - 11. Let x be a(-16). Determine u(x).
2
Let j(w) = w - 5. Let o(x) = 1. Let y(k) = -j(k) - 5*o(k). Determine y(1).
-1
Let z(o) be the third derivative of o**5/60 - 7*o**4/24 + 7*o**3/6 - 7*o**2. What is z(7)?
7
Let d(z) = -46*z + 86*z - 42*z + 0 + 1. Give d(2).
-3
Let h(z) = -z**2 - 3*z + 7. Suppose -3*o - o = -12. Let j(m) = m**2 - m. Let g be j(o). Let y = g - 11. Give h(y).
-3
Suppose 0*l - 23 = -2*u + 5*l, -3*l = 15. Let x(p) = 8*p**2 + p. Determine x(u).
7
Suppose 0 = 2*r + 3*b - 26 - 17, -3*r + b + 92 = 0. Let v = -19 + r. Let t be 2/v*(1 - -4). Let n(l) = 8*l - 1. Determine n(t).
7
Let d(j) be the third derivative of 3/2*j**3 - 1/12*j**4 + 0 + 0*j - j**2. Let f(l) = l - 5. Let t(p) = -3*d(p) - 7*f(p). Give t(0).
8
Let n(d) = -d + 1. Let z be n(0). Let r(i) = -22*i - 7. Let f(l) = 2 + 5*l + 0*l + 2*l. Let h(x) = -7*f(x) - 2*r(x). What is h(z)?
-5
Let y(h) = 3*h + 23. Let s be y(-6). Let f(u) be the second derivative of -u**3 - 2*u + 0 + 1/20*u**s - 1/3*u**4 + 2*u**2. Give f(5).
-1
Let u(h) = 4*h**2 + 4*h - 1. Let w = 25 + -28. Calculate u(w).
23
Suppose -z + 5*i - 10 = 0, 3*z - 5*i + 10 = -0*z. Let g(d) = -d**2 - d + 10. Let v(j) = -3*j**2 - 2*j + 21. Let c(o) = -5*g(o) + 2*v(o). What is c(z)?
-8
Let j(u) = u**2 - 5*u + 9. Let c be j(3). Let w(k) = 9*k**2 - 7*k**2 - 3 - k**3 - 4*k**2 + c*k. Suppose -5*m + 2*r = r + 19, -2*r = -8. What is w(m)?
-3
Let u(a) = 14*a**2 - 18*a + 11. Let k(l) = -5*l**2 + 6*l - 4. Let c(p) = 11*k(p) + 4*u(p). What is c(5)?
-5
Let l(s) = 12*s + 1. Let j = 19 + -20. Determine l(j).
-11
Suppose 5*h = 4*h - 13. Let k = h + 20. Suppose -4*u + k = -17. Let y(f) = -f**2 + 7*f - 8. What is y(u)?
-2
Let c = -8 + 13. Let f(q) = q**2 - 5*q - 6. Let h be f(c). Let t = h + 9. Let w(j) = -j**2 + 3. Calculate w(t).
-6
Let i(n) = -4*n**2 + 5*n + 10*n**2 - 6*n**2 - 2 + n**2. What is i(-6)?
4
Let b(w) = -w**3 - 2*w**2 + 3*w - 3. Suppose 797 - 167 = 6*k. Let m be (-30)/k - (-38)/(-14). Determine b(m).
-3
Let s(z) be the third derivative of -z**6/120 + z**5/12 - z**4/6 + z**3/3 - 10*z**2 + 2. Let b be -5*1*4/(-10). What is s(b)?
6
Suppose -r + 13 = 2*u + 2*r, -5*u + 5*r = -45. Let h(i) = -u*i + 2 - 6 - i**2 - 3. Let t(q) = -q**2 - 7*q - 6. Let a(z) = -5*h(z) + 6*t(z). Determine a(-2).
-1
Let p(k) = 2*k. Let i be ((-30)/(-45))/((-1)/3). What is p(i)?
-4
Let a(g) = g**2 - 2*g. Suppose -19 - 13 = -8*k. What is a(k)?
8
Let a(h) be the first derivative of 5*h**4/24 + h**3/6 + 5*h**2/2 - 3. Let f(g) be the second derivative of a(g). Give f(1).
6
Let q(r) = 32 + 8*r - r**2 - 30 + 2*r. Calculate q(10).
2
Let k be 5*-4*9/(-30). Let n(i) = i**2 - 8*i + 6. Give n(k).
-6
Suppose -3*w = 3*q, -4*w + 40 = -5*q + w. Let a be q/(-1) - (-2 - -3). Suppose 0 = a*m + m + 8. Let z(n) = 3*n**2 + 4*n + 2. What is z(m)?
6
Let k(d) = d - 2. Let y(c) = 1. Let g(x) = -k(x) - 2*y(x). Determine g(0).
0
Let y(h) = 3*h. Let c(m) = 16*m + 1. Let u(n) = -2*n + 4. Let d be u(3). Let l(z) = d*c(z) + 11*y(z). What is l(2)?
0
Let a(b) = 10*b**2 - 5*b + 5 + 4*b**2 - 2*b + 0*b. Let n(j) = 13*j**2 - 6*j + 4. Let x(v) = 5*a(v) - 6*n(v). Let i = -1 - 0. Determine x(i).
-8
Let c(z) = -3*z**2 - z - 29. Let w(v) = v**2 + 10. Let t(s) = -6*c(s) - 17*w(s). Let y be t(-3). Let b(q) = q**2 + 4*q - 5 + 1 - 1. Calculate b(y).
0
Let x(t) be the third derivative of t**6/120 - t**5/12 + t**4/6 - t**3/3 + 45*t**2 - 3*t. Let y be 6 + 3/((-3)/2). Let q be y/5*(-1 + 6). Give x(q).
-2
Suppose 2*s = x + 4, 0*s + 3*x = -3*s + 6. Let d(b) = -s*b + b + b + 4*b. What is d(-1)?
-4
Let d(y) be the first derivative of -y**4/4 - 5*y**3/3 + 3*y**2 - 7*y + 126. Let a be -5 + -2 + (1 - 0). Determine d(a).
-7
Let f(x) = -x**3 - x**2 - x + 1. Let v(y) = -2*y**3 - 4*y**2 - 3*y + 11. Let b = -12 - -9. Let l(p) = b*f(p) + v(p). Give l(0).
8
Let y(g) = -5*g + 0*g - 2 + 7 + g**2. Suppose 7*r - 19 - 16 = 0. Give y(r).
5
Let v(c) = -c**2 - 4*c + 6. Let u(p) = p**2 + p - 6. Let w be u(0). Let q be v(w). Let f be 3/(-9) - 2/q. Let x(j) = j + 2. What is x(f)?
2
Let a(s) = s**3 + 3*s**2 - 5*s - 3. Let y be a(-4). Suppose 2 = -0*c + c. Let m(o) = -2*o - c + 2. What is m(y)?
-2
Let h(s) be the first derivative of -1/2*s**2 - 4 + 0*s. Suppose 2*o + 2*v - 12 = -2*o, -16 = -4*o - 4*v. Give h(o).
-2
Let k(i) = i**2 + i - 4. Suppose 4*c - c = -9. Let y be k(c). Let x(d) be the third derivative of d**6/120 + d**5/60 - d**4/24 - 5*d**2. Determine x(y).
10
Let i(t) = 4*t - 3*t + 0 - 1. Let u be -1 - ((-2 - -3) + -6). Give i(u).
3
Let g(u) = 5*u**2 + 3*u**2 - 6*u**2 - u. Calculate g(3).
15
Let t(b) be the first derivative of b**3/3 - 2*b**2 | {
"pile_set_name": "DM Mathematics"
} |
3
a
What is the closest to -1 in 2/3, -4084, 0.1?
0.1
What is the closest to 1/4 in -0.06, 5, -37?
-0.06
What is the closest to -0.05 in 5, -2/5, -0.5, 2/9?
2/9
What is the nearest to 1 in -3, -115, -2/5, 2?
2
What is the closest to -2/7 in 0.3, 3, -2, 1/16?
1/16
Which is the closest to 1? (a) -4 (b) -3 (c) -0.01 (d) 0.4
d
What is the closest to -1/11 in 5, 15.6, -5?
-5
Which is the nearest to 1? (a) 4/7 (b) -2/11 (c) -2/41 (d) 2/25
a
Which is the closest to 1/58? (a) 2/17 (b) -0.6 (c) 2/19 (d) -1/4
c
Which is the closest to 1? (a) -15 (b) -4 (c) 2/9 (d) -1/4
c
Which is the nearest to -13? (a) 1 (b) 36 (c) -3
c
What is the closest to 2/11 in -0.5, 0.2, -8/23?
0.2
What is the closest to -1/12 in -1/2, 4/7, 1, -11?
-1/2
Which is the closest to -4? (a) 0.1 (b) 3/8 (c) -0.8
c
Which is the closest to 2? (a) -13/5 (b) 5 (c) 2/15 (d) 0.4
d
What is the nearest to 1 in 4, -15, 1, 2?
1
What is the nearest to -1 in 0.4, 1/3, -1/4, 0.5?
-1/4
Which is the closest to 0.01? (a) -2/7 (b) 2/5 (c) 0.24
c
What is the closest to 0 in -2, 0.3, -9?
0.3
Which is the closest to 0.2? (a) 2 (b) -2/5 (c) 5/4 (d) -1/27
d
What is the closest to 2/5 in 5, -4, 0.4, 1.4?
0.4
Which is the nearest to 2? (a) 1/6 (b) 1/14 (c) 4 (d) 3
d
Which is the closest to 118? (a) -0.5 (b) 0 (c) 0.3 (d) -5
c
What is the closest to -1 in 1/31, -2, 3, 3/8?
-2
What is the closest to 2 in 0.7, -2/3, 13?
0.7
Which is the nearest to 2? (a) -0.013 (b) 1/21 (c) 1 (d) 2
d
What is the closest to -15 in -0.7, -0.1, 5, 3/2?
-0.7
Which is the closest to -0.1? (a) 0.2 (b) 4 (c) 15 (d) -12
a
What is the closest to -3 in -5, 15, 2?
-5
What is the nearest to 0.2 in -629, -1/5, 0.4?
0.4
Which is the closest to -1/3? (a) 1 (b) 0.4 (c) -0.3 (d) 0.83
c
What is the closest to -2/5 in -0.1, 0, -8, -0.2?
-0.2
Which is the nearest to -2/77? (a) 1/3 (b) 0.1 (c) 4 (d) -1/4
b
Which is the nearest to -1? (a) 1/4 (b) 3 (c) 7 (d) 1
a
Which is the nearest to 2? (a) 1/7 (b) 143 (c) -8 (d) -2/9
a
Which is the nearest to -2/3? (a) 0.4 (b) -4/7 (c) -86 (d) 4
b
Which is the closest to -0.5? (a) 4 (b) -3/7 (c) 5
b
Which is the nearest to -1/6? (a) 0.4 (b) -54 (c) -3/5
c
Which is the closest to -9? (a) 0 (b) -1/5 (c) 2/7 (d) -2
d
What is the closest to -1 in -1/11, -2, -0.3, -3?
-0.3
Which is the nearest to 1/10? (a) 0.1 (b) 0.12 (c) -1
a
Which is the closest to 0.1? (a) 1.63 (b) 0.2 (c) 2
b
What is the nearest to 0.31 in -4, -3, 0.04, -1?
0.04
Which is the closest to -5? (a) 5 (b) -2 (c) -23 (d) 4
b
Which is the nearest to -0.1? (a) 1629 (b) 3 (c) -0.4
c
Which is the nearest to 1.3? (a) -1 (b) -3 (c) 2 (d) -110
c
Which is the closest to 3? (a) 17 (b) 0.3 (c) -4
b
What is the closest to 0.2 in 2, 7, 3, 3/22?
3/22
What is the nearest to -1 in -0.5, -39, -2, -0.2?
-0.5
What is the nearest to 0 in -318, -0.3, -2?
-0.3
What is the closest to 7 in -3, -0.2, -0.9, 3?
3
What is the closest to -2/13 in 0.5, -301.2, 1/5, 5?
1/5
What is the nearest to 1/2 in -3/13, -2/9, 0.08, -3/5?
0.08
What is the closest to 3 in -3, -5, -1/10?
-1/10
What is the closest to -2 in -5, -0.3, -5/271, 0.4?
-0.3
Which is the closest to 11? (a) -4 (b) -3 (c) -2/5 (d) 2
d
Which is the nearest to 0? (a) -2/65 (b) 1/4 (c) -0.1
a
Which is the nearest to 0? (a) 1165 (b) -3/2 (c) 5
b
Which is the nearest to 1? (a) -1/6 (b) -5 (c) 0.07 (d) 1/2
d
Which is the closest to -2/7? (a) 1 (b) -13.9 (c) 3 (d) -3
a
What is the closest to -2/5 in -710, 3, 0.1?
0.1
What is the nearest to -0.6 in -1, 704, 0?
-1
What is the closest to 0 in 9, -256, 2/3?
2/3
What is the nearest to 6 in -0.3, -4/9, -0.2?
-0.2
What is the closest to 2/5 in -3/7, -2/5, 116/5?
-2/5
Which is the nearest to 30? (a) 0 (b) 1/5 (c) 2/5
c
What is the nearest to -4 in 0.009, -4/3, 6?
-4/3
Which is the closest to 2.2? (a) -20 (b) -4 (c) -1/5
c
Which is the nearest to -1? (a) -1/3 (b) 3/8 (c) -4 (d) 0.4
a
What is the nearest to 0.1 in 2, -6, 0, -0.02?
0
Which is the closest to -1/3? (a) 2/7 (b) 2/5 (c) -631
a
What is the nearest to -0.3 in -0.5, 0.05, 2?
-0.5
What is the closest to -0.1 in 34, 0.5, 0.1?
0.1
Which is the nearest to -5/7? (a) -0.01 (b) -4 (c) 0.4
a
Which is the nearest to -5? (a) 0.1 (b) 3/8 (c) 0 (d) 6
c
Which is the nearest to -1.77? (a) -1 (b) 1/4 (c) -5
a
What is the nearest to -1/5 in 2, 0.4, -1/4?
-1/4
What is the closest to 37 in 5, 0, 29?
29
What is the nearest to 1/3 in 0.1, 3/2, -5/7, -0.11?
0.1
Which is the nearest to -1? (a) 117 (b) -1 (c) 0 (d) -3
b
Which is the nearest to 0.013? (a) -3/8 (b) 4 (c) 3
a
Which is the nearest to -0.03? (a) -3 (b) -3/8 (c) -5
b
Which is the closest to -1? (a) 0.1 (b) 0.5 (c) -17/6
a
Which is the closest to -0.7? (a) -1/8 (b) 3 (c) -2/63
a
Which is the closest to -1? (a) -18/7 (b) -3 (c) -34 (d) -0.5
d
What is the nearest to 0 in -3, -0.5, 0.3, -40?
0.3
What is the nearest to 0 in -332, -0.3, -3?
-0.3
Which is the nearest to -2/9? (a) -4 (b) -2 (c) 4 (d) -2/21
d
What is the nearest to 1 in -3, -18, -0.09?
-0.09
What is the nearest to 76 in 1/9, -0.4, 2/15, -0.3?
2/15
What is the nearest to -0.3 in -4, -2, 3, 5?
-2
Which is the closest to 0.2? (a) -1/250 (b) 2/11 (c) -3/5
b
Which is the closest to 2? (a) 0.1 (b) 1/9 (c) 5 (d) -5/13
b
Which is the nearest to -1/4? (a) 308 (b) 0.3 (c) -0.12
c
What is the nearest to -414 in 4, -5, -0.1, 1?
-5
Which is the closest to -3.258? (a) -3 (b) 0 (c) -0.5
a
Which is the closest to -2/11? (a) -1/3 (b) 1 (c) -2/13
c
What is the nearest to -39 in 0.1, -0.3, -2/11, 0.3?
-0.3
Which is the closest to -3? (a) 5 (b) -4/5 (c) 3/8
b
Which is the nearest to -21? (a) 0 (b) -2 (c) 4/7 (d) -0.1
b
What is the closest to 1/2 in 19, -1/23, 3?
-1/23
What is the nearest to -0.1 in -0.1, -2/15, -5, 1/6?
-0.1
What is the nearest to -2/3 in 0, 710/13, 5/3?
0
Which is the nearest to 232.7? (a) 0.4 (b) -4/7 (c) 2
c
Which is the closest to 0.1? (a) -3.6 (b) -0.5 (c) -1
b
Which is the nearest to -1? (a) 0.07 (b) -1 (c) 4
b
Which is the nearest to 0.02? (a) 2/9 (b) -0.13 (c) -5/4
b
Which is the nearest to -1/3? (a) -92 (b) 3 (c) -0.01 (d) 3/2
c
Which is the nearest to 1? (a) 2.2 (b) 1 (c) 0.1 (d) 5
b
Which is the closest to -0.3? (a) -0.3 (b) -0.6 (c) -0.5
a
What is the closest to 1 in -1/5, -2/7, -1/4?
-1/5
Which is the closest to 10? (a) 2 (b) 3/19 (c) -5
a
Which is the closest to -2? (a) -10 (b) 0.3 (c) 189
b
Which is the nearest to -0.1? (a) 3 (b) -5 (c) 0 (d) -1/3
c
Which is the nearest to -2/3? (a) 183 (b) -2/11 (c) 0.4 (d) -1/6
b
What is the nearest to 7/8 in -3/7, -4, 4, 2?
2
Which is the nearest to -1.4? (a) 0.3 (b) 0 (c) 4 (d) -1/3
d
What is the closest to -5/14 in 3, 4, 0.5, -1/10?
-1/10
What is the closest to 0 in 2/9, -1/7, -0.2, 0?
0
What is the nearest to -2/7 in 0.2, -7, -3, 0.07?
0.07
Which is the closest to -7? (a) -0.4 (b) -1/11 (c) -3
c
Which is the closest to 0.1? (a) 1/5 (b) 25 (c) -9
a
What is the closest to 1 in -1, 0.5, -2/83, -0.1?
0.5
What is the closest to 2 in -0.3, 0.1, -0.1, -332?
0.1
Which is the nearest to 2? (a) -5 (b) -4 (c) -0.3 (d) -0.5
c
Which is the nearest to -0.08? (a) 2/5 (b) -5 (c) 1/4
c
Which is the closest to -0.5? (a) -0.3 (b) 1/8 (c) -0.4
c
Which is the nearest to -2/9? (a) -0.2 (b) 0.3 (c) 25 (d) -1
a
What is the closest to 2/5 in -1, 0.15, 2/15?
0.15
Which is the closest to -1? (a) 0.01 (b) 3 (c) -1/2 (d) -4
c
What is the closest to 1 in 4, -1, -26?
-1
What is the nearest to 0 in -0.3, 4, -0.12?
-0.12
Which is the closest to 1/3? (a) 0.08 (b) 1 (c) 0.09
c
Which is the nearest to -0.2? (a) -774 (b) -0.3 (c) 1 (d) -0.05
b
Which is the closest to -1? (a) 19.9 (b) -4 (c) -2/3
c
Which is the nearest to 1? (a) 1/8 (b) 3 (c) -0.4 (d) 1
d
Which is the nearest to 1? (a) 0.2 (b) 0.4 (c) -49 (d) 0
b
Which is the closest to -0.15? (a) 5 (b) 1/9 (c) -3
b
Which is the closest to -6? (a) 63 (b) -3 (c) -1
b
Which is the closest to 0.2? (a) -4/7 (b) -0.7 (c) -2
a
What is the closest to -2 in -3, -6/5, 1/4?
-6/5
What is the nearest to -1 in -4, -5, 0.6?
0.6
Which is the nearest to -4? (a) -4/3 (b) -2 (c) -30
b
Which is the nearest to | {
"pile_set_name": "DM Mathematics"
} |
lse
Which is greater: 0.1 or -1/161?
0.1
Which is smaller: 19 or 110?
19
Is -0.15 smaller than 1/2?
True
Is 85/7 > 11?
True
Is 29 >= 25?
True
Which is smaller: 18 or -1012?
-1012
Is 1 > 2/10173?
True
Are -1/4630 and 1 unequal?
True
Do 4 and 46/11 have the same value?
False
Which is smaller: -1/5 or -1/19?
-1/5
Is 25103 greater than or equal to 25101?
True
Which is smaller: -489 or -503?
-503
Which is smaller: -556/5 or -112?
-112
Which is greater: -0.504 or 8?
8
Which is smaller: 55 or 51?
51
Which is smaller: 4084 or -0.4?
-0.4
Which is bigger: -82 or -5?
-5
Which is bigger: -4744 or -4745?
-4744
Are -172 and -172 non-equal?
False
Is -5/8933 at most as big as 1?
True
Is 0 at least as big as 1/13?
False
Are 1559 and 1558 nonequal?
True
Is 285/4 > 1/4?
True
Is -92 equal to -92?
True
Which is smaller: -1 or 1.3?
-1
Which is greater: 0.1 or -1005/4?
0.1
Which is smaller: 0 or -6/53?
-6/53
Is 5/51 greater than -1?
True
Which is smaller: -444/7 or -62?
-444/7
Is 734 at most as big as 0.5?
False
Does 1/1026 = 0?
False
Is 1 at least 2/26067?
True
Which is smaller: -505 or -500?
-505
Does -1 = 8.816?
False
Is -56 at least -51?
False
Are 304/11 and 28 nonequal?
True
Is -431 less than -430?
True
Is -111 != -113?
True
Is -3/2 equal to 19?
False
Is 3/845 < 1?
True
Which is smaller: 39 or -8?
-8
Is 22/2927 smaller than -1?
False
Which is bigger: 1 or -45/32?
1
Which is smaller: 17/222 or 1?
17/222
Which is smaller: -122 or -126?
-126
Is -790 greater than or equal to -786?
False
Are 90 and 88 equal?
False
Is 647 <= 657?
True
Is 4/91 <= -4?
False
Which is smaller: 343 or -36?
-36
Do -451 and -450 have the same value?
False
Which is smaller: 56/43 or 1?
1
Is 1 at least -4/183?
True
Which is smaller: 232 or 230?
230
Is 526 bigger than 524?
True
Is -0.05 greater than or equal to -775/4?
True
Which is greater: 12 or 13?
13
Does -1 = -2/11?
False
Are -2/3 and -13 equal?
False
Which is bigger: 2902 or 2903?
2903
Do -1 and 2/93 have the same value?
False
Which is smaller: -20 or -21?
-21
Is -0.1 less than 9821?
True
Do -18552 and -18552 have different values?
False
Which is bigger: -326/3 or -110?
-326/3
Which is greater: 2/3 or 0.022?
2/3
Is -11657 bigger than -11657?
False
Which is greater: -287 or 3?
3
Which is smaller: -11 or -2/9?
-11
Which is smaller: 2373/16 or 148?
148
Is 2/569 less than -1?
False
Is -421 bigger than -422?
True
Are 4 and 327/73 non-equal?
True
Which is smaller: -69 or -65?
-69
Are 376 and -9 unequal?
True
Do 722 and 720 have different values?
True
Which is smaller: -184 or -194?
-194
Which is smaller: -3/112 or -6.1?
-6.1
Which is smaller: -0.39 or 3?
-0.39
Which is smaller: 53 or 65?
53
Which is smaller: 17/3 or -2/23?
-2/23
Which is smaller: 60/17 or -0.9?
-0.9
Which is bigger: -93 or -94?
-93
Which is bigger: 4091 or 4093?
4093
Do -10/4113 and 1 have the same value?
False
Is 22 at least as big as 57?
False
Which is smaller: -142 or -143?
-143
Is 0 at most 128?
True
Is 1 bigger than 4/773?
True
Is -2/44373 greater than 1?
False
Is -4419 smaller than -4420?
False
Is -45 bigger than -43?
False
Is -1 != 20615?
True
Which is greater: 46 or 6?
46
Which is bigger: 1/5329 or -1?
1/5329
Which is smaller: -222/7 or -32?
-32
Which is smaller: 1390 or 1391?
1390
Which is smaller: 0 or 5/204?
0
Is 11 greater than -5?
True
Is 1/2128 equal to 1?
False
Is 289 at most as big as -0.02?
False
Which is bigger: 9 or -0.006?
9
Which is smaller: -77 or -79?
-79
Which is bigger: -1 or -14/19?
-14/19
Is -1634 smaller than -1634?
False
Which is smaller: 7262 or 14525/2?
7262
Is -111 less than or equal to -113?
False
Which is smaller: -40 or -30?
-40
Is 439 != 439?
False
Is -30 < -398/13?
False
Are 1/46 and 1/11 equal?
False
Which is bigger: -33/4 or 0.2?
0.2
Is 6/11 bigger than 0?
True
Is 6 at most 0.8?
False
Does 20/3 = -1/15?
False
Is 190 <= 191?
True
Which is smaller: -44 or -145?
-145
Is -14231 less than or equal to -14231?
True
Are 0.67 and -18 equal?
False
Are -2 and 0 non-equal?
True
Which is smaller: 0.02 or -12/85?
-12/85
Is 1990 less than 0.04?
False
Which is smaller: -441 or -442?
-442
Is 1046 greater than or equal to 0.2?
True
Is 1 at least -2/22471?
True
Which is smaller: -168/319 or -1?
-1
Which is smaller: 0 or -2/12179?
-2/12179
Is -54/5 >= -0.1?
False
Is -1 equal to 2/12741?
False
Which is greater: 54 or 898/17?
54
Is 0 less than -2/8129?
False
Which is smaller: 119 or 115?
115
Which is greater: 5 or -2/369?
5
Is -206 at least as big as -172?
False
Which is smaller: 1 or 51/46?
1
Which is smaller: -6/4201 or 1?
-6/4201
Which is greater: 2/33 or 17?
17
Is 112/3 greater than or equal to 36?
True
Is -1110 > -1110?
False
Do -0.171 and 8 have the same value?
False
Is 30 less than 0?
False
Is -58 equal to 1?
False
Is 697 greater than -1/2?
True
Which is smaller: 1 or 6/211?
6/211
Do 2/323 and -1 have different values?
True
Are 1 and -21/107 equal?
False
Is -9 less than or equal to 171?
True
Is 32 less than 433/14?
False
Is 452/21 greater than 21?
True
Which is smaller: 12 or 0.21?
0.21
Is -2856 not equal to -2854?
True
Which is smaller: -1/172 or -3/65?
-3/65
Is -3036 at least as big as -3036?
True
Which is greater: -52/21 or -3?
-52/21
Is 21 at least as big as 512/25?
True
Is -1 at least as big as -11/20?
False
Are -5860 and -5861 non-equal?
True
Does -1/15 = -21?
False
Which is greater: -279 or -281?
-279
Does 2/9 = -166?
False
Which is smaller: 1 or -1/37092?
-1/37092
Is 13 <= 295/21?
True
Are 397 and 402 equal?
False
Which is greater: -1/23768 or -1?
-1/23768
Is -3.3 > 0.3?
False
Is 2/7 less than or equal to -48.3?
False
Is 2 at least -91?
True
Which is smaller: -753 or -755?
-755
Which is smaller: -1/5570 or 0?
-1/5570
Is 1467 != 4403/3?
True
Is -1 bigger than -1/843?
False
Which is smaller: -55 or -59?
-59
Is -36/355 less than 0?
True
Is 8 less than or equal to 0.81?
False
Which is bigger: -5 or 176?
176
Is 663 at least 663?
True
Which is greater: 77/117 or 2?
2
Which is smaller: 37/60 or 0.4?
0.4
Is 47 at most 229/5?
False
Is -20/71 >= 0?
False
Does -337 = -327?
False
Which is greater: -3.09 or -12/13?
-12/13
Which is smaller: -1394/15 or -92?
-1394/15
Which is greater: -336 or -342?
-336
Is 652 greater than or equal to 652?
True
Which is smaller: 321 or 322?
321
Which is greater: 78 or 81?
81
Is 16073 bigger than 16075?
False
Which is bigger: 14/823 or -1?
14/823
Which is bigger: 1/18 or -6?
1/18
Which is greater: -96/25 or -5?
-96/25
Does -2 = 1233?
False
Are -2 and -281 equal?
False
Is -1 <= 2.17?
True
Which is smaller: -17 or -115/7?
-17
Which is smaller: 78 or 704/9?
78
Which is greater: 338 or 339?
339
Is -5215/4 >= -1304?
True
Which is smaller: -1/7 or -17?
-17
Which is greater: -13 or -409/29?
-13
Which is bigger: -13 or 7/128?
7/128
Which is smaller: -6 or -3?
-6
Is 2 at least -38?
True
Does -2556 = 0.2?
False
Are 1776 and -2 nonequal?
True
Which is bigger: 11 or 32?
32
Is 1 less than or equal to -84/205?
False
Does -122 = -108?
False
Is 28 at least 2/13?
True
Is 1 < -6/2597?
False
Which is greater: -9/2 or 819?
819
Is 10 at most 4?
False
Which is greater: -41.96 or -0.2?
-0.2
Is 1 bigger than -2/142085?
True
Do 0.1 and -3.54 have the same value?
False
Is -949 at most -948?
True
Is -1703 greater than -1703?
False
Which is smaller: -40/7 or -7?
-7
Which is smaller: 7/9 or 0.3?
0.3
Which is smaller: -87 or -3/5?
-87
Does -10/41 = 0?
False
Is -1136 bigger than -11?
False
Is 625 at most 626?
True
Which is smaller: -854 or -856?
-856
Which is greater: -19509 or -19508?
-19508
Is 4/441 >= 0?
True
Is 3527 equal to 3526?
False
Which is bigger: -0.07 or 390?
390
Is -39 not equal to -42?
True
Which is smaller: 0.35 or 16?
0.35
Is -1675 < -1676?
False
Which is greater: -476 or -468?
-468
Do 22 and 41 have the same value?
False
Which is greater: -29/13 or -1?
-1
Is -25 != -9.36?
True
Which is bigger: 2292 or 2293?
2293
Is 1503 != -0.03?
True
Which is greater: -165 or -164?
-164
Does -7 = -7?
True
Which is bigger: 3106 or 3107?
3107
Is 10/21 bigger than 7/4?
False
Are -24 and 3 non-equal?
True
Which is greater: -0.1 or -4307?
-0.1
Which is greater: 307 or -4?
307
Are 225 and 4/7 unequal?
True
Is -3 at most 268?
True
Which is bigger: -181 or -190?
-181
Which is greater: 4/7 or 10872?
10872
Is 0.7 < -310?
False
Which is bigger: -194 or -192?
-192 | {
"pile_set_name": "DM Mathematics"
} |
t p = -12.6 + 11.6. Which is the second smallest value? (a) 3 (b) -1.6 (c) -0.1 (d) p
d
Let k = -120 - -118. Which is the smallest value? (a) 11 (b) -6/7 (c) k
c
Let w be 2/(3/(1 + 2)). Which is the second biggest value? (a) 1 (b) -4 (c) w
a
Let f = 0.3 - 0.8. Let w be ((-2)/6)/(32/(-36)). What is the second smallest value in 1, w, f?
w
Let j(r) = 64*r - 4. Let k be j(5). Let q = 2208/7 - k. Which is the third smallest value? (a) q (b) 5 (c) 2
b
Let t = -2.4 + 2.4. What is the second smallest value in t, 1.3, 4, 1/7?
1/7
Let f = -13.8 - -14. What is the second biggest value in -0.04, -0.5, f?
-0.04
Suppose -3 + 11 = -4*w + 2*p, 3*w + 16 = -p. Suppose 4*f - 1 + 5 = 0. Which is the smallest value? (a) 1/3 (b) w (c) f
b
Let j = 2.2 + -5.2. What is the third smallest value in 0.7, j, -3/4?
0.7
Let a = -71/30 + 13/6. Let f = 7/23 + -31/253. Let y be 3 + -1 + 3 + -3. What is the smallest value in a, f, y?
a
Let s = 0.003 - -0.097. Which is the second smallest value? (a) 3/5 (b) s (c) 1 (d) -5
b
Let f = -3.02 + 0.02. Let p = 388 - 198. Let k = -765/4 + p. What is the third biggest value in f, 1, k?
f
Let m = -2.99 - -3. Let r = 0.31 - m. Let d = -8 - -8.5. Which is the second smallest value? (a) r (b) d (c) -0.1
a
Let r = 1 + -1. Let z = -0.1 + r. Let y = -0.1 - -4.1. What is the smallest value in z, y, 2/3?
z
Let t = -2 - -2.4. Let i be 456/20*(-5)/(-2). Let s = i - 173/3. What is the third smallest value in t, s, 1?
1
Let v be (-2)/2 - 18/(-12). Which is the smallest value? (a) -4 (b) v (c) -2
a
Suppose 2*u - g = g - 4, 6 = -3*g. Let h = 0.54 + -0.24. Which is the smallest value? (a) h (b) u (c) 1/3
b
Suppose 10 = -b + 7. Suppose 2*m = 4*c + 10, c = -3*m - c - 9. What is the third smallest value in m, 2/15, b?
2/15
Let u = -94.5 - -95. What is the second smallest value in u, -16, -0.4?
-0.4
Let n = 34 + -33.9. Which is the second biggest value? (a) 5 (b) n (c) 2/13
c
Suppose -5*l + 4*l - 3 = 0. Let r = l - 0. Let u = -4 + 4.4. Which is the third smallest value? (a) r (b) -1/3 (c) u
c
Let z be (-18)/84 - 1/(-2). Let g = -3 + -1. Let k = 1 - g. What is the biggest value in k, -5, z?
k
Let m = -29 + 29.3. What is the third smallest value in -0.4, -0.2, m?
m
Let b(m) = -m**3 + 11*m**2 + 2. Let d be b(11). Let s be -1*(1/(-3) - 0). What is the biggest value in s, d, -3?
d
Suppose -4*t = 4*o - 36, -o - 17 = -t - 4*o. Let b = -82 + 412/5. What is the biggest value in b, t, 0.3?
t
Suppose 4*i - 4*p + 4 = -24, 4*i - 3*p + 25 = 0. Let l = -1.05 - -1. Let t = l + 2.05. Which is the third smallest value? (a) i (b) -0.1 (c) t
c
Let b(a) = -6*a + 4. Let l be b(0). What is the second biggest value in 8, 6, l?
6
Suppose -4*x = 3 + 5. Which is the second smallest value? (a) -3 (b) x (c) -1
b
Let u = -22 + 16. Let y be (-9)/6*8/(-3). What is the biggest value in u, y, -4?
y
Let v = 108 + 30. Let w = 31 - v. Let q = 853/8 + w. Which is the third biggest value? (a) q (b) 1/6 (c) 4
a
Let a = -1 + 4. Suppose 4*d = -a*w + 30, -w = -0*w - 2*d. Let m be w*(2/(-6) - -1). What is the second biggest value in -1, m, -0.3?
-0.3
Let i = 0 + -1. Let q = -10 + 19.5. Let o = -9 + q. Which is the second biggest value? (a) 5 (b) i (c) o
c
Let m be 0 + (-4 - -2) + 7. Suppose -4*d = a + 5, 3*a - 4*a + 4 = -m*d. What is the second smallest value in -4/7, -4, a?
a
Let p = 159/4 + -40. What is the biggest value in p, 2, -5, 2/11?
2
Let h(j) = -j**2 + 6*j - 1. Let k be h(6). Let o = 20 - 9. Let y = o + -8. Which is the biggest value? (a) y (b) k (c) -0.1
a
Let v = 79/185 + -1/37. What is the smallest value in v, 0.1, 3/8?
0.1
Let c(t) = -t**2 - 4*t + 1. Let x be (4 - -2)/(-2) - 1. Let z be c(x). Let o = -2.04 + 0.04. What is the second biggest value in o, z, -3/4?
-3/4
Let w = -0.2 - -0.23. Let x = w + -0.33. Let s = -1 + 1.4. What is the smallest value in s, x, -2/7?
x
Let f = -17 + 14. Let h = -8 - f. Which is the third biggest value? (a) 4 (b) 2 (c) h
c
Let w(u) = u**3 + 5*u**2 - u - 4. Let j be w(-5). Let o be 1/5*(0 - j). Let x = -0.06 - 0.34. What is the third biggest value in o, 1/2, x?
x
Let h = -11 - -11.3. Which is the third biggest value? (a) -2 (b) h (c) -0.7
a
Let d = 19 + -18.1. Let x = 1 - d. Let w = -3 + -2. What is the third smallest value in -2/9, x, w?
x
Suppose 2*z = h - 3*z - 23, -3*z = 12. Which is the second biggest value? (a) -5 (b) 2 (c) 5 (d) h
d
Let z = 556/91 + -72/13. Let b = 4 - 4.4. What is the second smallest value in b, z, -0.5?
b
Let j be (-1)/(-3)*3/(-7). Let l = 1.1 + -1. Let h = -0.4 - l. What is the third biggest value in h, j, -2?
-2
Let u = -0.05 - 1.95. Let h = -0.14 - -1.94. Let x = 2 - h. Which is the second biggest value? (a) 0 (b) u (c) x
a
Let r = -6.3 - -1.3. Let l = 248 + -2234/9. Let v = 17/36 + l. Which is the third smallest value? (a) r (b) v (c) 5
c
Suppose 0 = 2*s + 23 - 7. Which is the smallest value? (a) s (b) 1 (c) 2
a
Let c = 0.2 + -0.6. Let q = 1.4 - 5. Let i = 0.6 + q. What is the second smallest value in 0.2, i, c?
c
Let t = 21 - 21.3. Suppose -4*d + 0*d + 1 = o, -3*o - 2*d + 13 = 0. Which is the second smallest value? (a) o (b) t (c) 2/9
c
Let g = -1 + 0.8. Let f be (-4)/(-14) - (-9)/42. What is the second smallest value in -0.1, g, f?
-0.1
Let l = 0 - -3. Let x = -5 + 6. Let r be (-1 - (-3)/18)*1. What is the biggest value in l, r, x?
l
Let h be (1/3)/(3*3/(-18)). What is the biggest value in h, 0.4, 4, 0.2?
4
Let u be ((-2)/(-4) - 1)*-10. Let d = 2 - u. Let s be 8*(10/4 + d). Which is the third biggest value? (a) -0.5 (b) 1/3 (c) s
c
Suppose -89 = -4*l - 9. Suppose j - 5*q - 15 = 3*j, 2*j - 2*q - l = 0. Which is the third smallest value? (a) -5 (b) 0.3 (c) j
c
Let k = 2.2 - 2. Suppose -f = 3*d - 0*f + 5, -5*d = f + 5. Suppose 2*q - 7*q + 5 = d. Which is the smallest value? (a) 4 (b) q (c) k
c
Let z = 61 - 61.1. What is the fourth smallest value in -1, -4, z, -2/7?
z
Let d be (-74)/(-4) + (-4)/(-12). Let l = d - 1255/66. What is the third biggest value in l, 1, -0.3?
-0.3
Let s = 11 - 14. What is the smallest value in 2, 0.3, s?
s
Let c = 122.94 - 121. Let r = c - -0.06. Let u = 0.2 - 0.3. What is the biggest value in -0.4, r, u?
r
Let w be ((-4)/5)/((-32)/(-80)). Which is the third smallest value? (a) 5 (b) -0.7 (c) w
a
Let f = -51 + 49. What is the biggest value in f, -0.1, 11/6?
11/6
Let x = 0.23 + -0.01. Let i = -0.23 + x. What is the third smallest value in i, 1, 4/7?
1
Let s = -8259/23 - -359. Which is the third smallest value? (a) -0.17 (b) s (c) -4
b
Let z = 4.6 + -9.6. What is the smallest value in -4, -2, 3, z?
z
Let y = 0.026 - 0.426. What is the third biggest value in 1, y, -0.3, -0.1?
-0.3
Let r = 113 + -113.2. Which is the biggest value? (a) -20 (b) 2 (c) r
b
Let k = -9.3 - -9. Let n = 3.04 - 0.04. Let o = 3 - n. What is the third biggest value in -3, o, k?
-3
Let d = 43 - 46. Let n = -3 - -1. Let g = -0.1 - 0.1. What is the smallest value in n, d, g?
d
Let l = -57/4 + 14. Which is the second smallest value? (a) -0.1 (b) l (c) -5
b
Let q(r) = r**2 - 8*r - 4. Let i be q(8). Let d be 8/i - 0/(-1). What is the third smallest value in d, -5, 0?
0
Suppose -5*n + 2*n + 23 = 4*l, 2*l = -n + 9. Suppose -3*i + v = -l, 2*i - 3*i = 2*v - 10. What is the second biggest value in 5, -1, i?
i
Let w = 26 - 9. Let n = 21 - w. What is the third smallest value in n, -5, 1/7?
n
Let j = -0.34 - -0.04. Let y = -0.14 - -0.1. Let w = y - 0.36. Which is the biggest value? (a) w (b) 0 (c) j
b
Let z = 0.4 - 0.9. Let u = z - 0. Let p = u + -0.5. What is the second biggest value in -2/3, p, 5?
-2/3
Let b = 2.6 + 1.4. Let w be (2/1)/2 + 2. What is the second biggest value in -3, w, b?
w
Let q = 163/5 + -33. Suppose -h + 31 + 16 = -5*a, 4*a = 2*h - 70. Let w = 53/2 - h. What is the second biggest value in w, q, -2/19?
q
Let u = 1.8 + 4.2. Let a = -45.6 - -52. Let c = a - u. What is the third biggest value in 2, c, -3/4?
-3/4
Let k = -6.7 + 7. What is the third biggest value in k, -0.3, -0.1?
-0.3
Let h be 3574/3528 - 9/12. Let q = -2/49 + h. What is the biggest value in -0.5, -4, q?
q
Let h = 0.52 - -0.48. What is the smallest value in -4, -0.2, h?
-4
Let x = -0.7 + 4.2. Let v = 3 - x. Let f = -2 + 3. What is the third biggest value in f, 0, v?
v | {
"pile_set_name": "DM Mathematics"
} |
illilitres?
875
How many nanograms are there in 15/4 of a microgram?
3750
What is 8.860583cm in nanometers?
88605830
How many nanograms are there in 5/8 of a microgram?
625
How many years are there in eighty-one halves of a millennium?
40500
What is 3/10 of a minute in milliseconds?
18000
Convert 6463.44 tonnes to nanograms.
6463440000000000000
How many decades are there in 23.34115 years?
2.334115
What is three fifths of a litre in millilitres?
600
What is six fifths of a litre in millilitres?
1200
What is 972293.1 kilograms in milligrams?
972293100000
How many millilitres are there in fourty-five halves of a litre?
22500
How many days are there in 26.0779392us?
0.000000000301828
How many months are there in 3/10 of a millennium?
3600
How many micrometers are there in 5/8 of a millimeter?
625
What is six fifths of a micrometer in nanometers?
1200
How many millilitres are there in eleven eighths of a litre?
1375
How many meters are there in 3/8 of a kilometer?
375
How many litres are there in 0.9421413 millilitres?
0.0009421413
How many meters are there in 6/25 of a kilometer?
240
What is 125.0594 micrometers in centimeters?
0.01250594
How many meters are there in three tenths of a kilometer?
300
How many millilitres are there in 55/2 of a litre?
27500
How many months are there in 10/3 of a millennium?
40000
Convert 6287.525 millilitres to litres.
6.287525
What is 3/5 of a meter in millimeters?
600
Convert 0.1769049 decades to years.
1.769049
What is 0.8585819ms in microseconds?
858.5819
What is 1/10 of a microgram in nanograms?
100
What is 190.0911 milligrams in kilograms?
0.0001900911
What is 4.073867 years in centuries?
0.04073867
How many years are there in 667.7669 centuries?
66776.69
Convert 17.283066s to minutes.
0.2880511
What is 1.595362 minutes in milliseconds?
95721.72
What is 44.09273 days in nanoseconds?
3809611872000000
What is 61/2 of a decade in years?
305
How many months are there in fifty-five halves of a year?
330
Convert 972.3759 days to hours.
23337.0216
What is 0.7815772 decades in years?
7.815772
What is 152030.4 minutes in hours?
2533.84
Convert 93.82576 grams to tonnes.
0.00009382576
Convert 5611.595m to nanometers.
5611595000000
What is 0.3249365 days in milliseconds?
28074513.6
How many millilitres are there in one tenth of a litre?
100
What is 83.3803 millilitres in litres?
0.0833803
Convert 3.017994 micrometers to nanometers.
3017.994
What is 74.9592 nanoseconds in milliseconds?
0.0000749592
What is 934.7325 millilitres in litres?
0.9347325
What is 21610.68 millennia in years?
21610680
What is 327.9304 nanograms in kilograms?
0.0000000003279304
How many nanometers are there in 1/10 of a millimeter?
100000
What is 1879.999 nanometers in kilometers?
0.000000001879999
How many kilograms are there in 29/2 of a tonne?
14500
How many years are there in 19474.938 months?
1622.9115
What is 72/5 of a milligram in micrograms?
14400
How many nanograms are there in 592.7663g?
592766300000
How many millilitres are there in one quarter of a litre?
250
What is 803.996ml in litres?
0.803996
What is five eighths of a litre in millilitres?
625
How many grams are there in 7129.044ng?
0.000007129044
What is 43464.9l in millilitres?
43464900
What is twenty-five halves of a milligram in micrograms?
12500
How many centimeters are there in 29/5 of a meter?
580
What is 2270.164 centuries in decades?
22701.64
How many millilitres are there in thirteen quarters of a litre?
3250
What is 84669.67 micrograms in nanograms?
84669670
What is 7.478454nm in millimeters?
0.000007478454
How many months are there in 7/3 of a century?
2800
What is 2/15 of a hour in seconds?
480
Convert 0.4007685 millilitres to litres.
0.0004007685
What is 45/8 of a gram in milligrams?
5625
How many decades are there in twenty-seven fifths of a millennium?
540
What is three eighths of a millennium in months?
4500
What is 3.525041ug in milligrams?
0.003525041
What is 49.71411nm in centimeters?
0.000004971411
Convert 3.38549 decades to millennia.
0.0338549
How many kilograms are there in 32617.06 tonnes?
32617060
Convert 0.5885974mg to kilograms.
0.0000005885974
How many micrometers are there in fifty-five quarters of a millimeter?
13750
How many minutes are there in twenty-nine thirds of a day?
13920
How many millilitres are there in 5/8 of a litre?
625
What is 197394.3m in nanometers?
197394300000000
How many nanometers are there in 0.8338571 millimeters?
833857.1
How many months are there in one quarter of a millennium?
3000
What is 16355.57 kilometers in micrometers?
16355570000000
What is 11/2 of a kilogram in grams?
5500
What is 18/5 of a litre in millilitres?
3600
What is 5/4 of a millimeter in micrometers?
1250
What is thirty-two fifths of a centimeter in micrometers?
64000
What is thirty-two fifths of a micrometer in nanometers?
6400
Convert 91696.47l to millilitres.
91696470
What is 11/4 of a millennium in years?
2750
How many nanograms are there in six fifths of a microgram?
1200
What is 7797.297 microseconds in milliseconds?
7.797297
Convert 334.5971l to millilitres.
334597.1
What is 587535.4ml in litres?
587.5354
How many years are there in 7/4 of a century?
175
Convert 616531.2km to centimeters.
61653120000
What is one sixth of a millennium in months?
2000
What is three tenths of a litre in millilitres?
300
Convert 1.476025 years to centuries.
0.01476025
What is seven halves of a centimeter in millimeters?
35
How many months are there in four thirds of a year?
16
How many millilitres are there in 24218.39l?
24218390
What is 1/5 of a century in years?
20
What is 1/6 of a minute in milliseconds?
10000
Convert 2.484773 millilitres to litres.
0.002484773
What is 11/10 of a century in decades?
11
What is thirteen ninths of a hour in seconds?
5200
What is 7/15 of a century in months?
560
How many micrograms are there in nineteen quarters of a milligram?
4750
Convert 41367.05 grams to tonnes.
0.04136705
How many years are there in 1.4793177 months?
0.123276475
How many millilitres are there in three fifths of a litre?
600
How many years are there in 0.5510684 decades?
5.510684
What is 47/4 of a meter in millimeters?
11750
How many seconds are there in 7/4 of a minute?
105
What is 3/8 of a millimeter in micrometers?
375
What is 72.033282 minutes in days?
0.0500231125
What is 17/2 of a centimeter in micrometers?
85000
What is 12/25 of a kilometer in centimeters?
48000
How many decades are there in 631.272 months?
5.2606
Convert 888860.9 grams to nanograms.
888860900000000
Convert 506764.3 millilitres to litres.
506.7643
What is 16.71842 milligrams in nanograms?
16718420
Convert 48.43627 decades to centuries.
4.843627
How many centuries are there in 0.4653357 months?
0.00038777975
Convert 7.911401 millilitres to litres.
0.007911401
What is 366.9029g in kilograms?
0.3669029
How many years are there in 1/5 of a decade?
2
How many millilitres are there in twenty-six fifths of a litre?
5200
Convert 0.8934682 millilitres to litres.
0.0008934682
How many days are there in 49251.357 minutes?
34.20233125
What is 22838.61ml in litres?
22.83861
What is 112832.3952ms in weeks?
0.0001865615
Convert 0.667018ml to litres.
0.000667018
What is eight thirds of a century in months?
3200
How many months are there in five quarters of a century?
1500
Convert 0.7551888 litres to millilitres.
755.1888
How many meters are there in 20303.38 centimeters?
203.0338
What is thirty-one fifths of a milligram in micrograms?
6200
How many grams are there in 29/2 of a kilogram?
14500
What is 66.57008nm in meters?
0.00000006657008
What is 9.702915 hours in microseconds?
34930494000
How many hours are there in 91760.9 weeks?
15415831.2
What is 3/7 of a week in minutes?
4320
How many millimeters are there in 0.5172753km?
517275.3
What is three fifths of a century in years?
60
How many millilitres are there in 17/2 of a litre?
8500
How many nanograms are there in eleven quarters of a microgram?
2750
How many minutes are there in one twentieth of a hour?
3
What is 3/50 of a litre in millilitres?
60
How many seconds are there in 86803.25 hours?
312491700
How many millilitres are there in 57/5 of a litre?
11400
How many minutes are there in 71/5 of a day?
20448
Convert 586.0242 centimeters to nanometers. | {
"pile_set_name": "DM Mathematics"
} |
91/46683)
Simplify ((p*p/(p*(p*p**1)/p)*p)**1)**48 assuming p is positive.
p**48
Simplify j**(-2/13)/j**(1/4) assuming j is positive.
j**(-21/52)
Simplify ((a/(a**(4/5)*a*a*a))/a**11)**30 assuming a is positive.
a**(-414)
Simplify (y**(2/3))**(11/2)/((y*y**(3/4)*y)/(y/((y**(-3/5)*y)/y))) assuming y is positive.
y**(151/60)
Simplify h*((h/h**(-5))/h)/h*h*h/(h*h/(h/(h/(h*h**(-7))))) assuming h is positive.
1/h
Simplify l**(-3/5)/l**7*l**8/(l*l*(l*(l**(-1)/l)/l)/l) assuming l is positive.
l**(7/5)
Simplify (z**(-2/11))**33 assuming z is positive.
z**(-6)
Simplify q**(1/7)/(q*((q/q**(3/4))/q*q)/q)*(q*q**(-1))**(-35) assuming q is positive.
q**(-3/28)
Simplify c**(-1/4)*c*c**6 assuming c is positive.
c**(27/4)
Simplify (v**(-6/7)/v)**(-27) assuming v is positive.
v**(351/7)
Simplify (s**0*s)**(-10/9) assuming s is positive.
s**(-10/9)
Simplify ((g/((g/g**(-1/4))/g))**0)**(-5/13) assuming g is positive.
1
Simplify ((p*p/((p/p**1*p)/p))/p)/p*p**(-1/2)*p**(-8)*p*p/(p**0*p) assuming p is positive.
p**(-15/2)
Simplify (k**(-2)*k)**(-25) assuming k is positive.
k**25
Simplify ((f/((f**0/f)/f))/f)**(2/27)/((f/f**(-3/8))/f*f**(2/7)) assuming f is positive.
f**(-775/1512)
Simplify (m/m**2)/m*m/(m/m**(-3/2))*(m**(-2/7)/m*m*m)/m**(-4) assuming m is positive.
m**(17/14)
Simplify ((m/m**(6/5))/m**(-12))**(-2/167) assuming m is positive.
m**(-118/835)
Simplify ((f/(f/(f**(1/2)*f*f*f*f)*f))/f)**(1/4)*f**(-7)/f*f/(f*f**(-2/3)/f) assuming f is positive.
f**(-137/24)
Simplify ((m**(-1/3))**(-44))**(-6/13) assuming m is positive.
m**(-88/13)
Simplify ((s*s*s/s**2)/(s/(s**(1/2)*s)*s))/(s*s/(s*s*s**(-3/2)*s)*s*s**(2/3)/s) assuming s is positive.
s**(-2/3)
Simplify s*s**(-3/5)*(s*(s**(-1/3)/s)/s)/s*(s*s**0/s)/s**(-6/7) assuming s is positive.
s**(-113/105)
Simplify t**10*t**7 assuming t is positive.
t**17
Simplify ((l**(-24)*l)/l)**(2/57) assuming l is positive.
l**(-16/19)
Simplify ((r*r/r**(2/3))/r)**(2/61)/(r**(1/3)*r)**(2/53) assuming r is positive.
r**(-382/9699)
Simplify (d/(d*d**(-14)*d*d)*d)/d**(-48) assuming d is positive.
d**61
Simplify q*q*((q/q**(-1/4))/q*q)/q*q**(-5) assuming q is positive.
q**(-11/4)
Simplify (n**(-15))**16 assuming n is positive.
n**(-240)
Simplify (t**0/(t*t**(-1)))/(t**(3/5)/(t/t**1)) assuming t is positive.
t**(-3/5)
Simplify (l**(4/11))**(-8) assuming l is positive.
l**(-32/11)
Simplify (r**(-1)*r*r)**17/((r/r**1*r)/(r*r/r**(2/9)*r)) assuming r is positive.
r**(169/9)
Simplify (((u*(u**(-3/5)/u)/u)/u)/u)/((u*u/(u*u**(1/7)*u)*u)/u)*(u*u*(u*(u*u**(2/7))/u)/u)**(-50) assuming u is positive.
u**(-4121/35)
Simplify (o/o**(-1)*o*o)**(4/7)*(o*o*o**(-3/4))/o**(-1) assuming o is positive.
o**(127/28)
Simplify (i*i/(i*(i*i**(-26)*i)/i))/((i*i**(-19)/i*i)/i) assuming i is positive.
i**45
Simplify x/x**1*x/(x*x/x**(-6))*(x**0*x)**14 assuming x is positive.
x**7
Simplify (l*l**7*l)/l**0 assuming l is positive.
l**9
Simplify (((c/(c**2/c))/c)**(3/40))**19 assuming c is positive.
c**(-57/40)
Simplify (r/(r*r**(-1/6)/r)*r*r)**(-23/4) assuming r is positive.
r**(-437/24)
Simplify (u**(1/4)*u*u*u*u**(-2/5))/(u**(-2/3))**(2/7) assuming u is positive.
u**(1277/420)
Simplify (n/(n/(n/((n*n*n*n**(8/3))/n))*n)*n*n)**(2/5) assuming n is positive.
n**(-16/15)
Simplify (w/w**(-3/7)*w)/w**39 assuming w is positive.
w**(-256/7)
Simplify s**5/s*s/(s/((s*s**6/s*s)/s))*s*s**(-1/14)*s/s**(-3/7)*s assuming s is positive.
s**(187/14)
Simplify (l*l/l**(-1/2)*l)**(-5/4)/((l**(5/7)/l)/l*(l/l**(-1/4))/l*l) assuming l is positive.
l**(-243/56)
Simplify (f/(f/(f*f/(f/f**(-1)))))**(-5/7)*((f*f*f**0*f*f)/f)**(-28/5) assuming f is positive.
f**(-84/5)
Simplify w**(-7/5)*w**(-3/11)*w*w assuming w is positive.
w**(18/55)
Simplify o*o**(-1/3)*o**(1/6)*o**(-1/4)*o/o**(4/3)*o assuming o is positive.
o**(5/4)
Simplify ((k/k**2)/k)/k*k**(-1/4)*(k*k**0*k)**33 assuming k is positive.
k**(251/4)
Simplify q/(q/(q*q**(-7)*q))*q/(q*q**(-2/5)*q)*(q**(-2/3))**(2/33) assuming q is positive.
q**(-2792/495)
Simplify (m*m**25)/((m*m*m**(-28)*m*m*m)/m) assuming m is positive.
m**50
Simplify o/o**11*o**(-8)*o**(-5/3)*o*o/((o**(-1)/o*o*o)/o)*o assuming o is positive.
o**(-47/3)
Simplify z**(-6)*z**(6/5)*z assuming z is positive.
z**(-19/5)
Simplify (o/(o*(o*o/(o/(o**(-18)/o*o)))/o)*o*o*o*o)/o**(2/37) assuming o is positive.
o**(812/37)
Simplify ((w/((w**(-5)*w)/w))/(w/w**2))/(w**2/w**3) assuming w is positive.
w**8
Simplify z**(1/16)/(z/z**(4/7)) assuming z is positive.
z**(-41/112)
Simplify (h**15*h*h**(-1/3)*h)**(-5) assuming h is positive.
h**(-250/3)
Simplify o**(-5/6)/o**(-3/2)*(o**4*o)/o**(-3) assuming o is positive.
o**(26/3)
Simplify ((k/k**3*k)/((k/(k*k**(-1/3))*k)/k*k*k))**(-24/11) assuming k is positive.
k**(80/11)
Simplify (((a**(3/11)/a)/a)/a*a*a*a**(-3)*a)/((a/a**1)/a)**28 assuming a is positive.
a**(278/11)
Simplify (o/(o*(o**1*o*o*o)/o))**(-1/5)*o*(o*o**(1/15)/o)/o*o**(-4)/o assuming o is positive.
o**(-13/3)
Simplify (n**(-1)*n)/n*n**(2/65) assuming n is positive.
n**(-63/65)
Simplify (r*r*r**(-6))/((r/((r/((r/(r/(r/(r/r**(-13)))))/r))/r)*r)/r*r) assuming r is positive.
r**8
Simplify (d*d**1/d)**(-22/7)/(d**2/d*d)**(-2/63) assuming d is positive.
d**(-194/63)
Simplify p*p*(p*(p**2*p)/p)/p*p*p**(-2/3)*p**(-4)*p*p**(1/2) assuming p is positive.
p**(11/6)
Simplify (k**(1/2)*(k/k**(-4))/k)/(k**(-1)/(k*k**(-2/5))) assuming k is positive.
k**(61/10)
Simplify s/(s**(-2/31)*s)*(s*s*s*s**(-21))/s*s assuming s is positive.
s**(-556/31)
Simplify (r**2*r**(3/5))/(((r**(-3/13)/r)/r)/(r**5*r)) assuming r is positive.
r**(704/65)
Simplify (q**(-1)/(q**(-1/4)*q))**(-10/19) assuming q is positive.
q**(35/38)
Simplify (j*j*(j*j**(-3/7))/j*j*j**14)**26 assuming j is positive.
j**(3016/7)
Simplify (x*x**(-16)*x)/x**37 assuming x is positive.
x**(-51)
Simplify (u**(-1)/u**(-2/5))/(u**(2/3)/u**(-10)) assuming u is positive.
u**(-169/15)
Simplify s**(1/5)*s/((s/s**(-2/5))/s)*(s/(s/(s/(s/(s*(s*s**(2/3))/s)))))**(-5/12) assuming s is positive.
s**(19/180)
Simplify r**2/(r**(-2/13)*r)*r**(-2/5)/(r**7/r) assuming r is positive.
r**(-341/65)
Simplify (p**(-2/27)*p**(-4)*p)**20 assuming p is positive.
p**(-1660/27)
Simplify (m**(-7/4)/m**(-1/7))/((m**0/m)/(m*m/m**(-4)*m)) assuming m is positive.
m**(179/28)
Simplify ((o/o**(-1))/o*o)**(1/10)/((o*o**(3/4)/o)/o**(-1/8)) assuming o is positive.
o**(-27/40)
Simplify (p**(-10))**(1/21) assuming p is positive.
p**(-10/21)
Simplify (q*q**19/q)/(q*q**(13/3)/q) assuming q is positive.
q**(44/3)
Simplify ((g**(2/27)*g)/(g**(-3)*g))/(g**(-1)*g*g**3) assuming g is positive.
g**(2/27)
Simplify (q*q*q/q**1)**(-5/9)*q**(2/3)*q*q**5*q*q assuming q is positive.
q**(68/9)
Simplify (z**7/(z/z**(3/2)))**25 assuming z is positive.
z**(375/2)
Simplify (w**0)**(-39)/(w*w*w**(1/2)/w*w)**(-38) assuming w is positive.
w**95
Simplify (u*u**(-18))/u**(-3) assuming u is positive.
u**(-14)
Simplify ((p/p**3)**(-10/17))**(-47) assuming p is positive.
p**(-940/17)
Simplify (m/(m*m*m*m*(m/(m/(m*m**(-1/2)*m)))/m*m*m*m))**(1/46) assuming m is positive.
m**(-13/92)
Simplify f/(f*f/((((f/(f/(f/f**(-7)))*f)/f)/f)/f)*f)*f**3 assuming f is positive.
f**7
Simplify q**(6/5)*q**(-8) assuming q is positive.
q**(-34/5)
Simplify ((y/(y*y**(-16)/y*y*y)*y)/y)**(-35) assuming y is positive.
y**(-525)
Simplify k**22/((k/k**(-20/7)*k)/k) assuming k is positive.
k**(127/7)
Simplify y**9/y*y*(y**(-10)*y)/y*(y/(y**(2/3)/y)*y)**28 assuming y is positive.
y**(193/3)
Simplify r**(-7)*r*r*r/(r/r**(-6))*(r*r**(-2/3))**(-1/12) assuming r is positive.
r**(-397/36)
Simplify (x/x**(-7))**(1/43) assuming x is positive.
x**(8/43)
Simplify w*w*w/(w*w/w**(-2))*w*w*w**(-1/12) assuming w is positive.
w**(11/12)
Simplify (o*o**(-1))**17/(o**(1/4))**(-3/4) assuming o is positive.
o**(3/16)
Simplify (n/n**(3/8))**(19/4) assuming n is positive.
n**(95/32)
Simplify (b**7)**(-24) assuming b is positive.
b**(-168)
Simplify (((u*(u*u*(u**8/u)/u)/u)/u*u)/u)**(-3/4) assuming u is positive.
u**(-21/4)
Simplify (b**(-1))**23/(b*b**6*b*b*b*b**(2/7)*b*b) assuming b is positive.
b**(-247/7)
Simplify (t/((t*t*t/(t/(t/t**(5/9))*t)*t)/t))/t**(-1/28) assuming t is positive.
t**(-103/252)
Simplify ((p/((p*p*p/p**(2/3)*p)/p*p)*p)/p)**16*(p**(-1)*p)**(-3/5) assuming p is positive.
p**(-112/3)
Simplify ((k/k**(-2/3))**10)**(-41) assuming k is po | {
"pile_set_name": "DM Mathematics"
} |
ked without replacement from lls. What is prob of picking 2 l?
1/3
Calculate prob of picking 2 r and 2 x when four letters picked without replacement from {x: 3, r: 5}.
3/7
What is prob of picking 2 x and 1 i when three letters picked without replacement from {z: 2, i: 1, a: 1, x: 4, l: 7}?
6/455
Calculate prob of picking 2 p and 1 m when three letters picked without replacement from pcupmpcupcpuvccv.
1/56
Three letters picked without replacement from {x: 7, k: 4, g: 4}. Give prob of picking 1 x, 1 g, and 1 k.
16/65
What is prob of picking 4 e when four letters picked without replacement from bebeeebsbe?
1/42
What is prob of picking 3 t and 1 l when four letters picked without replacement from llttllttttltt?
56/143
Two letters picked without replacement from alvvv. Give prob of picking 1 l and 1 v.
3/10
Three letters picked without replacement from {k: 1, r: 3, g: 1, j: 2, z: 1, p: 4}. What is prob of picking 1 p, 1 g, and 1 j?
2/55
What is prob of picking 1 i and 2 h when three letters picked without replacement from mihihihhhhihmhhh?
9/28
Calculate prob of picking 1 s, 1 k, 1 y, and 1 p when four letters picked without replacement from {z: 9, k: 1, s: 1, p: 4, y: 2}.
2/595
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from bleeeeebeeebeeeblbe.
8/57
Two letters picked without replacement from {i: 2, j: 1, c: 2, y: 2, d: 1}. What is prob of picking 2 c?
1/28
What is prob of picking 2 a and 1 q when three letters picked without replacement from qaaaaqaaaaqaqqtaqaq?
385/969
Three letters picked without replacement from enmzbej. What is prob of picking 1 b, 1 z, and 1 n?
1/35
What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 1, q: 1, x: 2, v: 2, c: 1}?
2/21
What is prob of picking 1 j and 1 k when two letters picked without replacement from {k: 4, v: 2, j: 1, h: 2}?
1/9
What is prob of picking 3 d when three letters picked without replacement from fdfdffdfff?
1/120
Two letters picked without replacement from rtr. Give prob of picking 2 r.
1/3
Four letters picked without replacement from {f: 3, h: 6, q: 8}. Give prob of picking 4 q.
1/34
What is prob of picking 1 e and 1 m when two letters picked without replacement from mmfffeommemme?
3/13
Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {i: 5, a: 3, x: 3, q: 1, t: 1}.
1/26
Two letters picked without replacement from jmmmmmmmmmmjmmmmmmjm. What is prob of picking 1 m and 1 j?
51/190
Two letters picked without replacement from ppppp. Give prob of picking 2 p.
1
Two letters picked without replacement from rbrbbrbbdbdbrdbb. What is prob of picking 2 r?
1/20
Two letters picked without replacement from ypzppngpypyzpgpy. Give prob of picking 1 g and 1 y.
1/15
What is prob of picking 1 e, 1 d, 1 m, and 1 v when four letters picked without replacement from {e: 4, m: 1, d: 1, a: 1, v: 4}?
8/165
Four letters picked without replacement from iiiiiiiiii. Give prob of picking 4 i.
1
Calculate prob of picking 4 v when four letters picked without replacement from vvuvvvvvvvuvvvvvvvvv.
12/19
Calculate prob of picking 1 o, 1 s, and 1 g when three letters picked without replacement from {p: 1, r: 1, s: 2, o: 2, g: 1, k: 1}.
1/14
What is prob of picking 2 p and 2 m when four letters picked without replacement from mpmpmpmm?
3/7
What is prob of picking 1 g, 1 k, and 2 c when four letters picked without replacement from kckstcctggck?
4/55
Two letters picked without replacement from obbobbboovvbbb. What is prob of picking 1 v and 1 o?
8/91
Three letters picked without replacement from dddttdddddd. What is prob of picking 1 t and 2 d?
24/55
Calculate prob of picking 3 m when three letters picked without replacement from {s: 9, m: 10}.
40/323
What is prob of picking 2 s when two letters picked without replacement from {u: 2, f: 1, s: 5, w: 8}?
1/12
Two letters picked without replacement from {k: 4, m: 2}. Give prob of picking 1 m and 1 k.
8/15
Calculate prob of picking 1 y, 1 e, and 1 u when three letters picked without replacement from eyeynyueyyyeeyeeyye.
24/323
Calculate prob of picking 4 v when four letters picked without replacement from vvvivvvv.
1/2
Calculate prob of picking 1 z, 1 b, and 1 f when three letters picked without replacement from xabzxfaafxbafffffx.
7/408
Three letters picked without replacement from yyyyyyyyccjyq. What is prob of picking 1 q and 2 c?
1/286
Two letters picked without replacement from {d: 11, y: 1}. Give prob of picking 2 d.
5/6
What is prob of picking 1 r and 3 x when four letters picked without replacement from xrrrrrrxxrxrrr?
40/1001
Three letters picked without replacement from kkkklbbkblblrkku. Give prob of picking 1 r, 1 k, and 1 b.
1/20
Four letters picked without replacement from jnnnjttnjjjnjjnnnj. What is prob of picking 2 n and 2 j?
196/765
Two letters picked without replacement from mcdvm. Give prob of picking 2 m.
1/10
What is prob of picking 2 u and 1 g when three letters picked without replacement from uguu?
3/4
What is prob of picking 3 k when three letters picked without replacement from kksksk?
1/5
Three letters picked without replacement from ngnugngguln. Give prob of picking 1 u and 2 n.
4/55
Two letters picked without replacement from {p: 1, r: 6, h: 7, q: 1}. Give prob of picking 2 h.
1/5
What is prob of picking 3 j when three letters picked without replacement from ejmmyjjyjjjymyjjyj?
7/68
Two letters picked without replacement from xrpupxpnppxruup. Give prob of picking 1 r and 1 u.
2/35
Two letters picked without replacement from djjdjjjjddjjdj. What is prob of picking 2 j?
36/91
Three letters picked without replacement from utggu. Give prob of picking 1 g, 1 u, and 1 t.
2/5
Two letters picked without replacement from qynyssnnsysdqnysd. What is prob of picking 1 s and 1 d?
5/68
What is prob of picking 1 m and 1 e when two letters picked without replacement from {m: 2, l: 1, y: 1, e: 1, p: 1, r: 1}?
2/21
What is prob of picking 2 q when two letters picked without replacement from qpjooq?
1/15
Three letters picked without replacement from sskpfccfccspspcs. What is prob of picking 2 p and 1 c?
3/112
Four letters picked without replacement from {g: 5, a: 5, e: 2, y: 1, d: 1, z: 1}. What is prob of picking 1 y, 1 z, and 2 a?
2/273
Calculate prob of picking 1 s, 1 c, and 1 b when three letters picked without replacement from cesepczbbceeece.
8/455
Two letters picked without replacement from {f: 2, m: 3, u: 1, w: 9, n: 3, c: 2}. Give prob of picking 1 w and 1 c.
9/95
Two letters picked without replacement from mwmmwmmwmmm. What is prob of picking 2 m?
28/55
Two letters picked without replacement from {z: 17, p: 3}. What is prob of picking 2 z?
68/95
Two letters picked without replacement from {x: 1, k: 2, g: 5, f: 1, i: 1, a: 10}. Give prob of picking 1 i and 1 x.
1/190
Two letters picked without replacement from nxxnnxxnnnnnnnnnnn. What is prob of picking 1 n and 1 x?
56/153
What is prob of picking 1 o and 2 i when three letters picked without replacement from {m: 2, y: 2, o: 3, s: 10, i: 3}?
3/380
Two letters picked without replacement from ztizztbz. Give prob of picking 1 t and 1 i.
1/14
Two letters picked without replacement from {x: 2, t: 2, p: 1, l: 1, d: 5, w: 2}. Give prob of picking 1 w and 1 l.
1/39
What is prob of picking 1 j and 2 d when three letters picked without replacement from {d: 7, j: 7}?
21/52
What is prob of picking 1 s and 1 k when two letters picked without replacement from ppspsspkppkpsk?
12/91
Calculate prob of picking 1 b, 1 x, and 1 m when three letters picked without replacement from xnmbmmxnnyxmbmm.
36/455
Four letters picked without replacement from {n: 3, s: 1, h: 6, g: 2, u: 1}. What is prob of picking 2 n, 1 g, and 1 s?
6/715
Four letters picked without replacement from nqnqqn. Give prob of picking 1 n and 3 q.
1/5
Calculate prob of picking 1 e and 1 m when two letters picked without replacement from qjmyjwe.
1/21
Calculate prob of picking 2 n and 1 c when three letters picked without replacement from njbnfnnffjcfxx.
3/182
What is prob of picking 2 n and 2 t when four letters picked without replacement from {t: 2, a: 13, n: 3}?
1/1020
Two letters picked without replacement from hqwwhufhhhwh. What is prob of picking 1 h a | {
"pile_set_name": "DM Mathematics"
} |
rt w.
-1200*w**3 + 24*w
Let g(m) be the first derivative of -m**6/3 + 3*m**4/4 - 3*m**3 + 3*m - 58. Find the third derivative of g(q) wrt q.
-120*q**2 + 18
Suppose 0*n + l = -3*n + 23, 0 = 2*n + 3*l - 13. What is the first derivative of -6*j + j + j - 5*j - n wrt j?
-9
Let j(g) be the first derivative of 411*g**7/7 + 268*g**3/3 - 99. What is the third derivative of j(f) wrt f?
49320*f**3
Let q(l) = -2*l**4 + 106*l**2 + 5. Let h(x) = -x**4 + 105*x**2 + x + 6. Let b(u) = -3*h(u) + 2*q(u). What is the second derivative of b(w) wrt w?
-12*w**2 - 206
Let w(d) be the second derivative of -d**6/45 - 7*d**5/120 - 2*d**3 - d. Let v(a) be the second derivative of w(a). Find the second derivative of v(c) wrt c.
-16
Let x = 14 - 14. Suppose x = 3*n - 2*n - 6. Differentiate -3*u - 4*u + 0*u + n with respect to u.
-7
Let x be ((-40)/(-60))/(2/15). Let v(q) be the second derivative of -1/3*q**4 + 0*q**2 - 6*q + 0*q**3 + 1/4*q**x + 0. Find the third derivative of v(k) wrt k.
30
Let j be (-2)/(-6 + 4) - (-3 - -1). What is the second derivative of 37*i**2 - 37*i**2 - 3*i**j - 6*i wrt i?
-18*i
Let t = 0 - 4. Let g(j) = -j + 6. Let i(z) = -2*z + 1 - 3*z + 4*z + 2*z. Let w(l) = t*i(l) - g(l). Differentiate w(x) with respect to x.
-3
Let k be 45/18 - 15/(-10). Let a(t) be the second derivative of -13*t + 0*t**2 + 13/20*t**5 + 0*t**k + 0 + 13/6*t**3. Find the second derivative of a(y) wrt y.
78*y
Let m(y) be the second derivative of 0*y**4 + 0 - 1/6*y**3 + 0*y**2 + 5*y + 3/5*y**5. Find the second derivative of m(d) wrt d.
72*d
Let i(z) = -2*z**3 + z**2 - z - 2. Let h be i(-1). What is the derivative of h*c**4 - 6*c**4 + 5*c**4 + 12 + c**4 wrt c?
8*c**3
Let b(c) = -4*c - 15. Let s be b(-7). Find the first derivative of 11 + 9 + 10 - 19 - s*h wrt h.
-13
Let u(b) be the third derivative of 3*b**2 + 0 - 29/60*b**5 + 0*b**3 + 0*b - 11/24*b**4. Find the second derivative of u(n) wrt n.
-58
Suppose -2*z - 9 = -5*z. Suppose 2*f + 10 = -0*f - 4*c, 0 = -2*f - 5*c - 14. Find the second derivative of -f*v + 5*v - v + 3*v - z*v**5 wrt v.
-60*v**3
Let w(q) = q**6 - 2*q**3 - q**2 - q + 1. Let k(s) = 460*s**6 - 2*s**3 + 262*s**2 - s + 1. Let u(g) = -k(g) + w(g). Find the third derivative of u(r) wrt r.
-55080*r**3
Let w be (6/4)/(14/(-84)). Let p be (-8)/(-3) + (-3)/w. What is the third derivative of -p*k**4 + 3*k**2 + 2*k**2 - 6*k**2 - 2*k**4 wrt k?
-120*k
Let b(d) be the second derivative of -437*d**5/20 + 126*d**2 - d - 29. Differentiate b(w) with respect to w.
-1311*w**2
Let s(r) be the third derivative of 0*r**3 - 19*r**2 + 0 + 3/10*r**5 - 29/24*r**4 + 0*r. What is the second derivative of s(b) wrt b?
36
Let d = 20 + -17. What is the first derivative of -11 - 6*p**3 + 9*p**d - 12*p**3 wrt p?
-27*p**2
Let g be ((-14)/2*4)/(-2). Suppose 5*k - 18 = -r, -2*k + 3*k - g = 5*r. Differentiate -4 + 1 - 4*t**k + 2 with respect to t.
-16*t**3
Let p(w) = -4. Let j(m) = -5. Let q(b) = 3*j(b) - 4*p(b). Let h(d) = d + 10. Let x(u) = -h(u) + 5*q(u). What is the first derivative of x(y) wrt y?
-1
Let n(m) = 15*m**2 + 42*m - 5. Let u(a) = a - 1. Suppose 0 = -22*f + 6*f - 16. Let r(k) = f*n(k) + 5*u(k). What is the second derivative of r(l) wrt l?
-30
Suppose q = -o, 3*q + 6 = q - 4*o. Let i be (2/5)/(1/10). What is the third derivative of -4*b**2 + 3*b**2 - i*b**3 + q*b**3 + 3*b**3 wrt b?
12
Find the second derivative of -g**3 - 11*g**5 + 86*g - 18*g**5 + 52*g**5 + 8*g**5 wrt g.
620*g**3 - 6*g
Suppose -3*o + 2 = -2*i, -i + 1 = 4*o + 2. Find the third derivative of d**3 - d**3 - 6*d**4 + o*d**4 + 14*d**2 wrt d.
-144*d
Suppose 5*v - 21 = -2*s, 2*s + 5*v - v - 18 = 0. What is the first derivative of d**3 - 12 - 8*d**s - 6 - 3 wrt d?
-21*d**2
Let s(x) = -115*x**4 - 137*x**2 + 10*x - 5. Let k(w) = -58*w**4 - 68*w**2 + 6*w - 3. Let p(l) = -10*k(l) + 6*s(l). Find the third derivative of p(a) wrt a.
-2640*a
Let b(i) = -i**4 - i**2 + i + 2. Let f(z) = -190*z**4 + 7*z**2 + 21*z - 20. Let l(d) = 5*b(d) + f(d). What is the second derivative of l(t) wrt t?
-2340*t**2 + 4
Let u(y) be the second derivative of 0 + 3/20*y**5 - 3*y**2 - 5*y + 0*y**4 + 0*y**3. What is the first derivative of u(g) wrt g?
9*g**2
Let r(t) = -1789*t + 1006. Let v(y) = 2386*y - 1342. Let l(n) = 11*r(n) + 8*v(n). Differentiate l(z) wrt z.
-591
Let j = 100 + -85. What is the derivative of 14 - 251*m + 251*m + j*m**3 wrt m?
45*m**2
Suppose -589*q + 584*q = 0. Let u(z) be the first derivative of 8/5*z**5 + 13/2*z**2 + 9 + q*z**3 + 0*z + 0*z**4. Find the second derivative of u(m) wrt m.
96*m**2
Let a be ((-4)/(-5))/((-2)/(-5))*1. What is the third derivative of 358*y + 22*y**a - 358*y - 22*y**3 wrt y?
-132
Suppose 8*c = 5*c + 15. What is the second derivative of -10*s**5 - 18*s + 6*s + 11*s + 3*s**c wrt s?
-140*s**3
Let k(x) = 5*x - 5. Let h be k(3). What is the derivative of -2*q**4 - 10*q**4 + 8 - h - 10 wrt q?
-48*q**3
What is the third derivative of -8*n + n**2 + 4*n + 3*n**2 - 8*n**4 - 3*n**2 - 12*n**4 wrt n?
-480*n
Let m(p) = p**3 + 5*p**2 - 70. Let n(q) = -6*q**3 - 26*q**2 - q + 351. Let w(c) = -11*m(c) - 2*n(c). What is the second derivative of w(j) wrt j?
6*j - 6
Let c(r) = r**2 - 6*r + 7. Let o(d) = 5*d**2 + d - 1. Let i be o(1). Let f be c(i). Find the first derivative of -5 + f*n**2 + 0 - 1 - 3*n**2 wrt n.
-2*n
Let i(d) be the third derivative of 13*d**7/35 - 37*d**5/30 + 4*d**2 - d. What is the third derivative of i(k) wrt k?
1872*k
Let x(h) be the first derivative of -h**9/504 - 3*h**5/10 + 31*h**2/2 + 28. Let p(q) be the second derivative of x(q). Find the third derivative of p(z) wrt z.
-120*z**3
Let s be 2 + 9/(-3) + 6/2. What is the derivative of -28 - 14*q**s + 9*q - 2*q - 7*q wrt q?
-28*q
Differentiate -26 - 2*a**3 - 725*a - 5 + 710*a wrt a.
-6*a**2 - 15
Let q = 625 + -1871/3. Let z(a) be the first derivative of 11*a + q*a**3 + 0*a**2 + 12. Differentiate z(s) wrt s.
8*s
Let w(v) = 139*v**3 - 2*v**2 + 2*v + 173. Let a(x) = 280*x**3 - 5*x**2 + 5*x + 346. Let t(l) = 2*a(l) - 5*w(l). Find the first derivative of t(r) wrt r.
-405*r**2
Let b(w) = -9*w**4 + 12*w**2 + 15*w - 154. Let o(g) = -g**4 + 2*g**2 - 1. Let h(i) = b(i) - 6*o(i). Differentiate h(p) with respect to p.
-12*p**3 + 15
Let y(h) be the first derivative of -4*h**2 + 3*h + 9*h + 11 + 8*h**2. What is the derivative of y(l) wrt l?
8
Let q(x) = -130*x**5 - 2*x**3 - 59*x**2 - 2*x - 2. Let z(j) = j**5 + j**3 + 2*j**2 + j + 1. Let c(b) = -q(b) - 2*z(b). Find the third derivative of c(u) wrt u.
7680*u**2
Suppose 47 = 8*k + 7. Find the third derivative of 78*x**5 + 31*x**5 - 152*x**5 - k*x**2 wrt x.
-2580*x**2
Let c(g) be the third derivative of g**8/84 - g**7/42 + 3*g**5/20 - g**4/24 - 62*g**2. Find the third derivative of c(i) wrt i.
240*i**2 - 120*i
Let i(k) = 96*k**4 - 9*k**3 - 211*k**2 - 9. Let m(n) = 48*n**4 - 4*n**3 - 105*n**2 - 4. Let t(s) = 4*i(s) - 9*m(s). Find the third derivative of t(j) wrt j.
-1152*j
Suppose 2*n - 1 = 5*l, -3 = 4*n - l - 14. What is the first derivative of 8 - 11*a**3 + 2 + 1 + n wrt a?
-33*a**2
Let b(t) = -6*t**4 + 20*t**3 + 2*t**2 + 420*t. Let q(d) = d**4 + d**3 + d. Let j(k) = -b(k) - 2*q(k). Find the third derivative of j(z) wrt z.
96*z - 132
Let p(k) = k**2. Let x(b) = -24*b**2 - 6*b - 12. Let q(g) = -g**2 - g + 1. Let o(y) = 6*q(y) - x(y). Let z(u) = -o(u) + 12*p(u). Differentiate z(l) wrt l.
-12*l
Let s(c) = c**2 + 2*c - 1. Let g(h) = 619*h**4 - h**3 + 5*h**2 + 237*h - 5. Let f(n) = g(n) - 5*s(n). Find the second derivative of f(w) wrt w.
7428*w**2 - 6*w
Let n(z) be the first derivative of 39*z**4/2 + 7*z**3 - 2*z**2 + 13. Find the third derivative of n(r) wrt r.
468
Let s(x) = -1272*x**3 - 9*x**2 + 18*x - 1819. Let m(r) = -318*r**3 - 2*r**2 + 4*r - 455. Let q(i) = 9*m(i) - 2*s(i). What is the derivative of q(k) wrt k?
-954*k**2
Let k(n) be the second derivative of -2*n - 13/30*n**6 + 0*n**2 + 1/2*n**3 + 0*n**5 + 0*n**4 + 0. What is the second derivative of k(q) wrt q?
-156*q**2
Let f(g) = g**3 + 4*g**2 - 2*g + 1. Let l be f(-4). Suppose 3*y = 4*y - 4. What is the second derivative of 5*q + q**4 + q**y - l*q + 4*q**4 wrt q?
72*q**2
Let z be (-20)/12 - 11/(-3). Find the first derivative of -120*m**z + 71*m**2 + 70*m**2 - 19 wrt m.
42*m
Let u(y) be the second derivative of y**7/42 + 133*y**5/20 - 241*y**4/6 + 132*y - 2. What is th | {
"pile_set_name": "DM Mathematics"
} |
ow many minutes are there between 4:55 AM and 2:23 PM?
568
How many minutes are there between 10:30 PM and 9:32 AM?
662
How many minutes are there between 11:50 PM and 7:26 AM?
456
What is 173 minutes before 6:39 PM?
3:46 PM
How many minutes are there between 1:11 AM and 2:22 AM?
71
What is 676 minutes before 7:22 AM?
8:06 PM
What is 123 minutes after 7:18 PM?
9:21 PM
How many minutes are there between 1:49 PM and 10:52 PM?
543
What is 538 minutes after 8:38 PM?
5:36 AM
What is 453 minutes before 7:25 PM?
11:52 AM
How many minutes are there between 5:38 PM and 5:25 AM?
707
How many minutes are there between 4:43 PM and 2:32 AM?
589
How many minutes are there between 8:30 PM and 10:59 PM?
149
What is 253 minutes before 2:43 PM?
10:30 AM
What is 14 minutes before 2:30 AM?
2:16 AM
How many minutes are there between 8:19 AM and 6:44 PM?
625
What is 354 minutes after 2:10 PM?
8:04 PM
What is 117 minutes before 11:26 PM?
9:29 PM
What is 52 minutes after 9:12 PM?
10:04 PM
What is 454 minutes after 8:54 PM?
4:28 AM
How many minutes are there between 5:29 PM and 4:29 AM?
660
What is 235 minutes after 5:28 AM?
9:23 AM
How many minutes are there between 7:45 PM and 10:50 PM?
185
How many minutes are there between 2:22 AM and 12:49 PM?
627
How many minutes are there between 4:43 AM and 7:39 AM?
176
How many minutes are there between 4:12 AM and 12:46 PM?
514
How many minutes are there between 1:00 AM and 1:41 AM?
41
How many minutes are there between 6:25 AM and 11:25 AM?
300
What is 10 minutes before 5:45 PM?
5:35 PM
How many minutes are there between 12:31 AM and 10:22 AM?
591
What is 578 minutes after 7:36 AM?
5:14 PM
How many minutes are there between 5:55 PM and 7:26 PM?
91
What is 67 minutes after 8:23 PM?
9:30 PM
What is 587 minutes after 8:35 AM?
6:22 PM
How many minutes are there between 7:45 AM and 12:34 PM?
289
How many minutes are there between 5:49 AM and 10:54 AM?
305
What is 462 minutes after 10:30 PM?
6:12 AM
How many minutes are there between 11:32 AM and 12:22 PM?
50
How many minutes are there between 6:58 PM and 2:59 AM?
481
What is 595 minutes after 9:05 AM?
7:00 PM
How many minutes are there between 10:32 AM and 9:08 PM?
636
What is 296 minutes before 3:30 AM?
10:34 PM
What is 709 minutes before 7:28 PM?
7:39 AM
What is 107 minutes after 10:59 AM?
12:46 PM
What is 559 minutes after 2:23 PM?
11:42 PM
How many minutes are there between 3:44 AM and 10:09 AM?
385
What is 89 minutes before 8:11 PM?
6:42 PM
How many minutes are there between 5:05 PM and 3:51 AM?
646
How many minutes are there between 2:56 AM and 4:05 AM?
69
What is 191 minutes before 9:19 AM?
6:08 AM
How many minutes are there between 10:24 AM and 5:18 PM?
414
How many minutes are there between 3:07 AM and 5:40 AM?
153
What is 647 minutes after 4:18 PM?
3:05 AM
What is 564 minutes before 12:08 AM?
2:44 PM
What is 385 minutes after 8:38 AM?
3:03 PM
What is 625 minutes after 7:34 AM?
5:59 PM
What is 485 minutes before 4:28 AM?
8:23 PM
How many minutes are there between 12:54 AM and 3:13 AM?
139
How many minutes are there between 10:25 AM and 5:06 PM?
401
What is 663 minutes before 10:41 PM?
11:38 AM
What is 505 minutes before 5:03 PM?
8:38 AM
What is 706 minutes after 7:12 AM?
6:58 PM
What is 98 minutes after 1:26 PM?
3:04 PM
How many minutes are there between 6:56 AM and 2:22 PM?
446
What is 274 minutes before 7:44 PM?
3:10 PM
How many minutes are there between 11:57 AM and 6:31 PM?
394
How many minutes are there between 3:30 AM and 3:15 PM?
705
How many minutes are there between 2:07 PM and 5:58 PM?
231
What is 576 minutes before 9:31 AM?
11:55 PM
How many minutes are there between 9:18 AM and 12:23 PM?
185
How many minutes are there between 5:59 AM and 2:27 PM?
508
What is 155 minutes before 2:46 PM?
12:11 PM
How many minutes are there between 4:18 PM and 5:07 PM?
49
How many minutes are there between 6:27 AM and 9:18 AM?
171
What is 588 minutes before 2:11 PM?
4:23 AM
How many minutes are there between 8:34 AM and 6:22 PM?
588
What is 252 minutes before 10:11 PM?
5:59 PM
What is 186 minutes after 10:33 AM?
1:39 PM
What is 313 minutes before 11:20 PM?
6:07 PM
What is 448 minutes after 3:55 AM?
11:23 AM
What is 50 minutes after 10:22 AM?
11:12 AM
How many minutes are there between 5:01 AM and 4:23 PM?
682
How many minutes are there between 8:25 PM and 6:45 AM?
620
What is 401 minutes before 1:48 AM?
7:07 PM
How many minutes are there between 10:36 PM and 4:17 AM?
341
What is 578 minutes after 9:34 AM?
7:12 PM
What is 12 minutes after 2:49 PM?
3:01 PM
What is 302 minutes after 10:46 PM?
3:48 AM
What is 687 minutes after 3:10 PM?
2:37 AM
How many minutes are there between 1:39 AM and 12:02 PM?
623
How many minutes are there between 12:02 AM and 8:24 AM?
502
How many minutes are there between 3:56 AM and 2:59 PM?
663
How many minutes are there between 5:40 AM and 6:30 AM?
50
What is 152 minutes before 4:23 AM?
1:51 AM
What is 596 minutes before 8:19 AM?
10:23 PM
How many minutes are there between 11:46 AM and 11:31 PM?
705
What is 197 minutes before 12:08 PM?
8:51 AM
How many minutes are there between 3:26 PM and 4:01 PM?
35
What is 41 minutes after 9:16 PM?
9:57 PM
How many minutes are there between 4:41 PM and 4:53 PM?
12
How many minutes are there between 2:59 PM and 10:41 PM?
462
How many minutes are there between 1:10 AM and 5:53 AM?
283
How many minutes are there between 6:06 AM and 7:35 AM?
89
What is 354 minutes after 8:32 PM?
2:26 AM
How many minutes are there between 10:52 AM and 12:58 PM?
126
What is 38 minutes before 12:37 PM?
11:59 AM
What is 501 minutes after 2:10 PM?
10:31 PM
How many minutes are there between 2:32 AM and 8:09 AM?
337
How many minutes are there between 7:36 PM and 3:49 AM?
493
How many minutes are there between 12:32 AM and 11:08 AM?
636
How many minutes are there between 1:52 AM and 5:19 AM?
207
What is 10 minutes before 11:46 PM?
11:36 PM
How many minutes are there between 9:26 AM and 12:50 PM?
204
How many minutes are there between 1:39 PM and 6:44 PM?
305
What is 137 minutes after 3:25 AM?
5:42 AM
How many minutes are there between 9:07 PM and 1:32 AM?
265
What is 313 minutes before 10:04 AM?
4:51 AM
What is 630 minutes after 2:03 AM?
12:33 PM
How many minutes are there between 12:12 PM and 7:59 PM?
467
How many minutes are there between 10:18 AM and 3:59 PM?
341
What is 327 minutes before 10:53 AM?
5:26 AM
How many minutes are there between 12:25 AM and 11:01 AM?
636
How many minutes are there between 8:24 AM and 11:41 AM?
197
What is 631 minutes before 4:26 AM?
5:55 PM
How many minutes are there between 6:04 AM and 4:40 PM?
636
How many minutes are there between 2:47 PM and 12:32 AM?
585
What is 596 minutes before 10:39 AM?
12:43 AM
How many minutes are there between 5:40 AM and 5:39 PM?
719
What is 578 minutes after 8:29 AM?
6:07 PM
What is 39 minutes after 6:23 AM?
7:02 AM
How many minutes are there between 6:12 AM and 4:08 PM?
596
How many minutes are there between 12:59 AM and 2:31 AM?
92
What is 676 minutes after 3:37 PM?
2:53 AM
How many minutes are there between 11:24 AM and 2:00 PM?
156
How many minutes are there between 7:30 AM and 7:39 AM?
9
What is 641 minutes before 5:23 PM?
6:42 AM
What is 589 minutes after 2:31 PM?
12:20 AM
What is 408 minutes before 8:34 AM?
1:46 AM
What is 503 minutes after 6:47 AM?
3:10 PM
What is 300 minutes after 3:20 PM?
8:20 PM
What is 462 minutes before 12:03 AM?
4:21 PM
How many minutes are there between 4:20 PM and 8:46 PM?
266
How many minutes are there between 12:38 PM and 4:34 PM?
236
What is 354 minutes after 6:57 AM?
12:51 PM
How many minutes are there between 12:05 PM and 7:28 PM?
443
What is 496 minutes after 6:26 AM?
2:42 PM
What is 644 minutes before 6:35 PM?
7:51 AM
How many minutes are there between 8:00 PM and 12:24 AM?
264
What is 570 minutes after 2:47 PM?
12:17 AM
How many minutes are there between 4:34 AM and 5:27 AM?
53
What is 359 minutes before 12:57 PM?
6:58 AM
What is 152 minutes after 6:53 PM?
9:25 PM
How many minutes are there between 2:27 PM and 5:03 PM?
156
How many minutes are there between 12:02 PM and 2:08 PM?
126
What is 388 minutes before 8:28 AM?
2:00 AM
How many minutes are there between 12:37 PM and 3:42 PM?
185
What is 457 minutes before 3:14 PM?
7:37 AM
What i | {
"pile_set_name": "DM Mathematics"
} |
*d*g
Find the second derivative of u**3 - 1489611*u**2 - 4286110*u + 2 wrt u.
6*u - 2979222
Find the first derivative of i*k*y**2 + 439*i*y**2 + 335*i*y - 2*i + k*y - 73414*k - y**2 - 1 wrt i.
k*y**2 + 439*y**2 + 335*y - 2
Find the second derivative of j**2*v**3 + 52*j**2*v + 10157*j**2 + 722672*j*v**3 + 2*j + 2*v**3 + 3*v wrt j.
2*v**3 + 104*v + 20314
What is the derivative of 1244*h**2 - 357*h + 2244847 wrt h?
2488*h - 357
Find the second derivative of 2*k**5*l + 295129*k**3*l - 43*k**2*l + 15870*k*l + 47*k - 4*l + 2 wrt k.
40*k**3*l + 1770774*k*l - 86*l
What is the third derivative of 1755692*v**5 + 118*v**2 - 629*v + 2 wrt v?
105341520*v**2
What is the derivative of 1278*f*o - 1418*f - 143471*o - 28 wrt f?
1278*o - 1418
Find the second derivative of 110*f**4 - 6976*f**2 + 1511242*f wrt f.
1320*f**2 - 13952
What is the second derivative of -b**2*l**2 + 9*b**2*l + 157*b**2 + 71*b*l - b + 200573064*l**2 - 47 wrt l?
-2*b**2 + 401146128
What is the second derivative of 4582717*f**5*n**2 - 2*f**5*n - 2931*f*n**2 + 441*n**2 + 1 wrt f?
91654340*f**3*n**2 - 40*f**3*n
What is the third derivative of -325511767*i**4 - 9*i**2 + 734*i - 692 wrt i?
-7812282408*i
What is the first derivative of 4036138*m**2 + 9895486?
8072276*m
Find the third derivative of -2*w**6 - 10*w**4 + 444966*w**3 - 91*w**2 + 16*w - 34444.
-240*w**3 - 240*w + 2669796
What is the derivative of 69842341*d**4*n**3 + 189045575*n**3 wrt d?
279369364*d**3*n**3
What is the second derivative of -22725929*n*q**3 + 2*n*q - 131366*n + 23*q wrt q?
-136355574*n*q
Find the second derivative of -3363*w**2*z**2 - 2629*w**2 + 233*w*z**2 + 6*w*z + 4*w + 2*z**2 - 11*z - 1 wrt w.
-6726*z**2 - 5258
Find the second derivative of 4547608*d**2*v**2 + 1853*d*v**2 + 536*d*v wrt d.
9095216*v**2
Differentiate -2737732*y**4 - y**3 + y + 47198314 wrt y.
-10950928*y**3 - 3*y**2 + 1
Find the second derivative of -8540003*z**3 - 4*z**2 + 59141857*z.
-51240018*z - 8
Find the third derivative of 25*s**5 + 1145887*s**3 - 9*s**2 - 12525942*s.
1500*s**2 + 6875322
Differentiate 65124626*l**4 + 2*l**3*p + 30275*p + 377 with respect to l.
260498504*l**3 + 6*l**2*p
Find the second derivative of -f**3*s - 88114617*f**2*s - f*s - 3677*f + 549*s wrt f.
-6*f*s - 176229234*s
What is the third derivative of -234450486*a*u**3 + a*u**2 + 2*a*u - 27*a + 3*u**2 - 187*u - 10 wrt u?
-1406702916*a
Differentiate 2954*y**3 + 89*y + 194296303.
8862*y**2 + 89
What is the second derivative of -60416931*f**3*n*y**2 - 2*f**3*n*y - 3*f**3*n - f**2*n*y - 2*f*n*y + 42863*f*y + 2*y - 1 wrt y?
-120833862*f**3*n
What is the second derivative of 108619*o**2*p**2 - 11940*o**2*p - 6*o**2 + 6*o*p**2 + o - p + 2 wrt p?
217238*o**2 + 12*o
What is the second derivative of 13825612*w**2 - 8688351*w wrt w?
27651224
Find the third derivative of -23675595*q**5 + 91473184*q**2 - 3*q wrt q.
-1420535700*q**2
Find the third derivative of 157061503*v**5 - 445222995*v**2 wrt v.
9423690180*v**2
Find the third derivative of 69978241*h*n**4 - 179081*h*n**2 - 22*h + n**2 wrt n.
1679477784*h*n
Differentiate -64*i*k**3 - 9797*i - 2*k**3 - k**2 + 69959*k with respect to i.
-64*k**3 - 9797
What is the third derivative of 511200154*r**3 + 7704548*r**2 + 2*r - 2?
3067200924
Find the third derivative of -93179422*o**4 + 594887369*o**2 wrt o.
-2236306128*o
Find the second derivative of 5*r*w**3 - 1327*r*w**2 - 115*r*w + 118*r - 951*w**3 - 3*w + 2 wrt w.
30*r*w - 2654*r - 5706*w
Find the third derivative of 12799097*p**4 - 730184*p**2 wrt p.
307178328*p
Differentiate 4715532*t**4 - 7323382.
18862128*t**3
Differentiate -95596524*h - 268569530 with respect to h.
-95596524
Find the second derivative of -8*d**3 + 42560*d**2 - d - 282.
-48*d + 85120
Find the second derivative of x**5 - 10070827*x**3 - 6*x**2 + 168901109*x wrt x.
20*x**3 - 60424962*x - 12
What is the third derivative of -670556297*b**2*v**3 + 2530*b**2*v**2 - 3735*b*v - 3*v**2 + 2*v wrt v?
-4023337782*b**2
Differentiate -133884168*v**2 + 140156859 wrt v.
-267768336*v
What is the second derivative of -127254043*z**2 - 113245583*z?
-254508086
What is the first derivative of -476194148*w + 706973292?
-476194148
Find the second derivative of -8165496*j**2 + 30495698*j wrt j.
-16330992
What is the second derivative of -477613*r**5 - 10*r**2 - 1773045*r - 29?
-9552260*r**3 - 20
Find the second derivative of -2035061*u**5 + u**2 + 2915854*u.
-40701220*u**3 + 2
Differentiate -71928850*l**2 - 7884748.
-143857700*l
Differentiate -209*c**3 + c**2 + 26493*c*j**2 + 621025*j**2 - j - 1 wrt c.
-627*c**2 + 2*c + 26493*j**2
What is the first derivative of -17235144*m + 23557859 wrt m?
-17235144
What is the second derivative of 7*w**3 + 425164*w**2 - 61762*w + 15 wrt w?
42*w + 850328
Find the first derivative of -9*d**2*x - 3*d**2*y - 28*d*x*y + 1390460*d*y + 1779*x**2 wrt x.
-9*d**2 - 28*d*y + 3558*x
What is the second derivative of -5074*i*n**2*y**2 + i*n**2*y + i*n**2 + i*n*y + 2*i*n - 25*i*y**2 + 21*n**2*y**2 - 19*n**2*y + 131 wrt y?
-10148*i*n**2 - 50*i + 42*n**2
What is the third derivative of 1410994*c**6*j + 3*c**3*j + 9*c**2 - 227*c*j + 980*c wrt c?
169319280*c**3*j + 18*j
Find the third derivative of 175008703*h**3*s**6 - 6081*h**3*s + h**2 - 32*h*s**2 + 2*h*s + s**2 + 2 wrt s.
21001044360*h**3*s**3
What is the derivative of -501575244*h**3 + 1240634315 wrt h?
-1504725732*h**2
Find the third derivative of -4963*m*n**3*r**3 + 2544036*m*n**3 - 6*m*n*r**3 + m*n*r**2 - 57*m*r**3 + 3*n**3*r**2 wrt r.
-29778*m*n**3 - 36*m*n - 342*m
Differentiate 9084*g**3*y - 382*g**3 + 2*g**2 + 1785*g*y**3 + 6976*g - 5 with respect to y.
9084*g**3 + 5355*g*y**2
Find the second derivative of 1126*a**2*b**2*x - 2847*a**2*b*x**3 - 51*a*b*x**2 + 12*a*b*x + 3*a*b + 19*a*x**3 + 8*b**2 - 4*b*x**3 + 2 wrt a.
2252*b**2*x - 5694*b*x**3
What is the second derivative of i**3*j*t**2 - 83008*i**3*t - 15*i**2*j - 2*i*j*t + 5424687*j*t**2 - j*t wrt t?
2*i**3*j + 10849374*j
Differentiate -1086*o*z + 37908*o + 1816085*z with respect to o.
-1086*z + 37908
What is the second derivative of 47543*g**4 + 123*g**3 - 2*g + 38451344?
570516*g**2 + 738*g
Find the second derivative of 10696888*y**5 - 35026704*y.
213937760*y**3
What is the third derivative of 4760585*m**3 + 4*m**2 - 76*m + 736?
28563510
What is the third derivative of -84665988*j**3*v**3 - 7*j**2*v**2 + 3*j**2*v + j**2 - 2*j - 13987*v**3 wrt j?
-507995928*v**3
What is the third derivative of -93*m*x**4 + m*x**3 - 589807*m*x**2 - 33*x**4 - 80*x**3 + 2*x**2 wrt x?
-2232*m*x + 6*m - 792*x - 480
Differentiate 298200*f**2 - 192*f - 761668151.
596400*f - 192
What is the first derivative of -168*p**2 - 2808*p - 8955469?
-336*p - 2808
Find the second derivative of -2921*t**5 + 23486*t**3*x + 2*t - 33758594*x wrt t.
-58420*t**3 + 140916*t*x
Differentiate -5235800*f*x + 4018*f + 513 with respect to x.
-5235800*f
What is the second derivative of -20*u**4 - 1607*u**3 + 1403*u**2 + 1121*u + 18177?
-240*u**2 - 9642*u + 2806
Find the second derivative of -159377*d**2*m**3 + 7*d**2*m + 4*d*m**3 + 2*d*m**2 + m**2 + 32108*m - 1 wrt d.
-318754*m**3 + 14*m
What is the first derivative of -32794997*y + 39605608?
-32794997
What is the second derivative of 7*d**3*z**2 + d**3*z - 1049307*d**2*z - d*s*z**2 - 2*d*s*z + 236001*s*z**2 - z**2 wrt z?
14*d**3 - 2*d*s + 472002*s - 2
What is the third derivative of 168731777*u**5 + 500*u**2 - 217737 wrt u?
10123906620*u**2
Differentiate 29644658*j*l + 191932*j - 41 wrt l.
29644658*j
Differentiate 3*m*r**2*u + 2*m*r - 3*m*u - 2397401*m - 18821653*r**2 - 2*r*u wrt m.
3*r**2*u + 2*r - 3*u - 2397401
Find the third derivative of 206382*t**4 - 69*t**3 - 25368418*t**2 wrt t.
4953168*t - 414
What is the third derivative of 2153*b**6 + 359*b**3 + 2080169*b**2 wrt b?
258360*b**3 + 2154
Find the second derivative of -707683851*z**4 + 517*z + 82676.
-8492206212*z**2
What is the second derivative of -y**2*z**3 + 4*y**2*z**2 - 30*y**2*z - 988*y**2 + 2*y*z**3 + 11742*y*z**2 - y + z**2 + 7*z wrt y?
-2*z**3 + 8*z**2 - 60*z - 1976
What is the first derivative of -352765541*b**2 + 66071173?
-705531082*b
Find the third derivative of 3*s**5 - 1258*s**4 - 460*s**3 + 2232734*s**2 wrt s.
180*s**2 - 30192*s - 2760
Differentiate 605637136*m**2 - 142213963 with respect to m.
1211274272*m
What is the third deriv | {
"pile_set_name": "DM Mathematics"
} |
y.
-4
Solve -5*s + 7*s = -8 for s.
-4
Solve -17*j - 3 = 14 for j.
-1
Solve -490*b = -520*b + 330 for b.
11
Solve 46 = 14*b + 88 for b.
-3
Solve 6*d = 8*d - 4 for d.
2
Solve -28*f + 70 = 14 for f.
2
Solve -15*l + 15 = -75 for l.
6
Solve 19 - 2 = 17*z for z.
1
Solve 45*j - 27*j = 54 for j.
3
Solve 114 = 163*b - 201*b for b.
-3
Solve 6*l + 9*l = 15 for l.
1
Solve -16*b + 1 = -15*b for b.
1
Solve 32 - 2 = -10*h for h.
-3
Solve 3*q - 12 = 3 for q.
5
Solve -14*k + 9*k = 10 for k.
-2
Solve -12*k - 31*k + 258 = 0 for k.
6
Solve -16*o = -51 - 29 for o.
5
Solve 140*p + 328 = -24*p for p.
-2
Solve -635 + 641 = -6*v for v.
-1
Solve -3 = -5*g + 2*g for g.
1
Solve -1 = 4*y - 9 for y.
2
Solve 10 - 26 = 8*z for z.
-2
Solve -422*x = -431*x for x.
0
Solve -6 = -4*y + 2 for y.
2
Solve 5*j + 11*j - 3*j = 0 for j.
0
Solve 140*x = 145*x + 5 for x.
-1
Solve 10*l + 8 = 12*l for l.
4
Solve -22 = -12*m - 46 for m.
-2
Solve 25*b = 113 - 13 for b.
4
Solve -18*a + 23*a + 15 = 0 for a.
-3
Solve 9*y - 18 = -0 for y.
2
Solve 34*h + 145 = 63*h for h.
5
Solve -19*a - 20 = -14*a for a.
-4
Solve 46 = -39*b + 16*b for b.
-2
Solve 1 = 22*g - 43 for g.
2
Solve -32 + 36 = -2*z for z.
-2
Solve 21*i + 0 + 63 = 0 for i.
-3
Solve 0 = -f - 8 + 4 for f.
-4
Solve 46*d - 20 = 41*d for d.
4
Solve -47*u + 232 = -3 for u.
5
Solve 0 = 3*g - 11*g - 24 for g.
-3
Solve -147*q + 749 = -40*q for q.
7
Solve -124*s = -116*s - 64 for s.
8
Solve 0 = -2*v + 2 + 4 for v.
3
Solve -33*a + 5*a = 112 for a.
-4
Solve -48 = 17*c - 9*c for c.
-6
Solve -8*t = -12 - 28 for t.
5
Solve 552 - 482 = 10*v for v.
7
Solve 2341*v - 2338*v - 18 = 0 for v.
6
Solve 17*a + 127 - 8 = 0 for a.
-7
Solve 0 = -23*c + 18*c for c.
0
Solve -216*u = -211*u + 30 for u.
-6
Solve -21 = 7*a + 21 for a.
-6
Solve 5*h + 3*h = 8 for h.
1
Solve -22 = 4*j - 42 for j.
5
Solve 74*w - 88*w + 56 = 0 for w.
4
Solve -3*x + 57*x - 162 = 0 for x.
3
Solve -2 - 2 = 2*t for t.
-2
Solve -154*a = -167*a - 78 for a.
-6
Solve 8*l - 3*l = -25 for l.
-5
Solve 9*j + 15 + 30 = 0 for j.
-5
Solve 36*w - 42*w = 6 for w.
-1
Solve -7*f = -2*f - 20 for f.
4
Solve -6*w + 13 - 19 = 0 for w.
-1
Solve -30*d = -28*d for d.
0
Solve 204*d = 212*d - 40 for d.
5
Solve -9 = 6*n - 45 for n.
6
Solve -7*v = -1 + 29 for v.
-4
Solve -8*f + 3 - 11 = 0 for f.
-1
Solve -104 + 128 = -12*i for i.
-2
Solve -13 - 19 = -16*b for b.
2
Solve -50 = -11*n - 61 for n.
-1
Solve 24*i + 85 = -11 for i.
-4
Solve -6*h - 63 = -39 for h.
-4
Solve 111 - 631 = -52*w for w.
10
Solve -8 = -70*z + 68*z for z.
4
Solve 31 - 33 = 2*t for t.
-1
Solve 5*g = 8*g + 6 for g.
-2
Solve -n + 34 - 39 = 0 for n.
-5
Solve -12*o = -61 + 13 for o.
4
Solve -8*k = -989 + 1037 for k.
-6
Solve 23*l - 2*l - 210 = 0 for l.
10
Solve -88 - 48 = -17*z for z.
8
Solve 2*a + 4 = -4 for a.
-4
Solve -12*z = 17 - 53 for z.
3
Solve 0 = -0*j + 28*j - 7*j for j.
0
Solve -167*f + 157*f + 90 = 0 for f.
9
Solve -2 + 6 = s for s.
4
Solve 27*h - 42 = 6*h for h.
2
Solve 0 = -952*j + 962*j - 30 for j.
3
Solve 4 = -2*d - 2*d for d.
-1
Solve 2*w - 3*w = 3 for w.
-3
Solve 6*b + 8 = 2 for b.
-1
Solve 0 = 10*i - 6*i + 12 for i.
-3
Solve 96*i = 8*i - 176 for i.
-2
Solve 0 = -9*d - 3 - 6 for d.
-1
Solve -p + 6 - 9 = 0 for p.
-3
Solve 8*l + 156 - 172 = 0 for l.
2
Solve -67*y + 113 = -21 for y.
2
Solve 66 = -2*s + 60 for s.
-3
Solve 0 = -4*p + 14*p - 30 for p.
3
Solve -57 + 55 = -c for c.
2
Solve 0 = 27*x + 24*x + 102 for x.
-2
Solve 0 = -4*i + 5 - 1 for i.
1
Solve -13 = -a - 17 for a.
-4
Solve 66*m - 98 = 17*m for m.
2
Solve 39*y - 144 + 456 = 0 for y.
-8
Solve -6 + 2 = 2*z for z.
-2
Solve -14*b + 35 = -21*b for b.
-5
Solve -168*n = -181*n for n.
0
Solve 60 = 208*c - 218*c for c.
-6
Solve 0 = 107*d - 140*d - 165 for d.
-5
Solve -129 + 9 = -20*y for y.
6
Solve 13*r + 94 = 159 for r.
5
Solve 0 = 31*z + 3*z - 68 for z.
2
Solve 662*g + 66 = 651*g for g.
-6
Solve 0 = -9*y - 30 + 48 for y.
2
Solve 0 = -7*p - 7*p + 56 for p.
4
Solve -77*j = -86*j - 45 for j.
-5
Solve 26*i + 115 = 3*i for i.
-5
Solve 16*p = 11*p - 15 for p.
-3
Solve -1 = -8*o + 15 for o.
2
Solve 0 = 75*i - 81*i + 24 for i.
4
Solve -21 = 5*c - 11 for c.
-2
Solve -2*r - 15 = r for r.
-5
Solve 0 = 7*u + 267 - 218 for u.
-7
Solve 133 = 330*w - 311*w for w.
7
Solve -44*h + 493 = 185 for h.
7
Solve -4389*v = -4373*v - 48 for v.
3
Solve 35*f - 188 - 162 = 0 for f.
10
Solve -26 = 9*v + 1 for v.
-3
Solve 6*k - 713 = -713 for k.
0
Solve 14 - 113 = 33*s for s.
-3
Solve -8*s - 10 = 2*s for s.
-1
Solve 0 = p + 10 - 14 for p.
4
Solve 8*a - 11 - 29 = 0 for a.
5
Solve 7*o + 39 - 11 = 0 for o.
-4
Solve -8*j + 253 = 181 for j.
9
Solve -19*w = -53 - 42 for w.
5
Solve -19*d - 51 - 44 = 0 for d.
-5
Solve 0 = -96*b + 89*b + 35 for b.
5
Solve 126 = 8*i + 142 for i.
-2
Solve 0 = -39*f - 37 - 158 for f.
-5
Solve 24 - 8 = -2*d for d.
-8
Solve -9*c - 113 = -77 for c.
-4
Solve -6*d + 104 = 128 for d.
-4
Solve -123*p = -113*p + 20 for p.
-2
Solve 590 - 100 = 70*p for p.
7
Solve -21 + 1 = -4*h for h.
5
Solve 9*u - 6*u = -9 for u.
-3
Solve -z = 5*z - 6 for z.
1
Solve -23*a - 25 = -18*a for a.
-5
Solve 3*z = 4*z - 3 for z.
3
Solve 2*n - 20*n + 90 = 0 for n.
5
Solve -4*u + 13 = 13 for u.
0
Solve -9 = -2*y - 3 for y.
3
Solve 0 = -4*c + 15 - 3 for c.
3
Solve 942 = 2*f + 950 for f.
-4
Solve 26*r = 14*r - 24 for r.
-2
Solve 0 = -7*n - 5450 + 5387 for n.
-9
Solve -19*l = 65 + 49 for l.
-6
Solve -10*y + 3*y = 7 for y.
-1
Solve 0 = 905*v - 908*v - 9 for v.
-3
Solve 8*j + 9 = -23 for j.
-4
Solve 0 = -7*v - 5*v for v.
0
Solve -6 = 4*j + 6 for j.
-3
Solve 0 = 15*a - 29*a for a.
0
Solve -13*c = -4*c + 9 for c.
-1
Solve -3*v - 2268 + 2262 = 0 for v.
-2
Solve -5*m - 27 + 2 = 0 for m.
-5
Solve -16*u = 92 - 28 for u.
-4
Solve 0 = -115*c + 123*c for c.
0
Solve 425*o = 411*o - 126 for o.
-9
Solve -4*n = -0*n - 2*n for n.
0
Solve -122 = 41*y + 1 for y.
-3
Solve -6*j + 11*j = 25 for j.
5
Solve -26 + 41 = 5*w for w.
3
Solve -50*g - 366 = 11*g for g.
-6
Solve -6*w - 10*w + 48 = 0 for w.
3
Solve 6 = 7*q + 34 for q.
-4
Solve 0 = 14*o + 5*o + 114 for o.
-6
Solve 0 = -33*r + 41*r + 8 for r.
-1
Solve -y + 11*y = 30 for y.
3
Solve 0 = -18*x + 13*x - 25 for x.
-5
Solve -33 = -6*n - 3 for n.
5
Solve 0 = 3*s + 36*s + 195 for s.
-5
Solve -3*i - 6*i - 36 = 0 for i.
-4
Solve 0 = -24*t + 23*t - 5 for t.
-5
Solve 11*h - 2 = 12*h for h.
-2
Solve 40 = 6*f + 2*f for f.
5
Solve -52 + 32 = -5*p for p.
4
Solve 5*g - 18 = -28 for g.
-2
Solve -32*j + 20 = -12 for j.
1
Solve -2*v + 18 = 8 for v.
5
Solve 0 = 9*q - q + 8 for q.
-1
Solve 3*o + 10 + 2 = 0 for o.
-4
Solve 25 = 6*b - 11*b for b.
-5
Solve -36 = 7*i - 1 for i.
-5
Solve 10*f - 5*f = 20 for f.
4
Solve -15*m = 398 - 518 for m.
8
Solve 11*h = 27*h + 48 for h.
-3
Solve -11*x + 3*x = 24 for x.
-3
Solve -30 = 5*d - 11*d for d.
5
Solve 0 = s - 12*s + 33 for s.
3
Solve 10*r = 36*r - 78 for r.
3
Solve 0 = -9*l + 34 + 2 for l.
4
Solve -7*u = -12*u - 25 for u.
-5
Solve -4*j - 15*j - 5*j = 0 for j.
0
Solve -16*k + 16 = -0*k for k.
1
Solve -8*o - 10*o + 72 = 0 for o.
4
Solve 11 = -14*p - 17 for p.
-2
Solve 5*h - 9*h = 0 for h.
0
Solve n + 22 - 23 = 0 for n.
1
Solve -j - 13 = -11 for j.
-2
Solve -5*k + 8*k + 6 = 0 for k.
-2
Solve -14 = -3*x - 8 for x.
2
Solve 20 = -232*c + 242*c for c.
2
Solve -58*n = 852 - 272 for n.
-10
Solve 43*k = -338 + 80 for k.
-6
Solve -135 = -49*h + 159 for h.
6
Solve -185*b + 351 = -146*b for b.
9
Solve 0 = -34*i - 8 + 42 for i.
1
Solve -2*d + 64 = 14*d for d.
4
Solve -128*u = -134*u for u.
0
Solve -226 + 100 = 14*a for a.
-9
Solve 3*k = 21*k - 18 for k.
1
Solve 172*f + 108 = 145*f for f.
-4
Solve 0 = -22*o + 10*o for o.
0
Solve 15*t = 7 + 8 for t.
1
Solve 21*p + 15 = 15 for p.
0
Solve 48*t - 24*t = -24 for t.
-1
Solve n = 18*n - 51 for n.
3
Solve -19*g = -157 + 271 for g.
-6
Solve 17*o = 8*o + 45 for o.
5
Solve 15*h - 46 = -1 for h.
3
Solve -2*n - 3*n + 5 = 0 for n.
1
Solve 12*t - 6*t = -6 for t.
-1
Solve 0 = -3*f - f + 16 for f.
4
Solve 0 = 109*t - 91*t - 144 for t.
8
Solve -10*v + 14*v + 8 = 0 for v.
-2
Solve -6*b - 13 = -1 for b.
-2
Solve 5*y + 3 = -2 for y.
-1
Solve 31*o + 51 - 20 = 0 for o.
-1
Solve 84*c - 147 + 735 = 0 for c.
-7
Solve 9*q - 4*q = -20 for q.
-4
Solve 0 = 6*v - 529 + 553 for v.
-4
Solve -82 + 52 = -10*w for w.
3
Solve -680*n = -666*n + 154 for n.
-11
Solve 0 = -3*u - 13 + 7 f | {
"pile_set_name": "DM Mathematics"
} |
+ 1*sqrt(26)/sqrt(2).
3*sqrt(13)
Simplify 0 + sqrt(108)*-2 + 1.
-12*sqrt(3) + 1
Simplify (sqrt(45)/(sqrt(9) - (-2*sqrt(99))/sqrt(11) - sqrt(9))*2)**2.
5
Simplify sqrt(405) + -1 - ((-1 + sqrt(5) - sqrt(5))*-1 + sqrt(5))**2.
-7 + 7*sqrt(5)
Simplify ((2 + sqrt(162))*-6)**2.
1296*sqrt(2) + 5976
Simplify sqrt(343) + 3*(sqrt(343) - (1 + sqrt(343)))**2 + (sqrt(343) - (sqrt(343) - (-4 + sqrt(343) + -1)))**2 + 5.
-63*sqrt(7) + 376
Simplify (sqrt(5)*2*-4 + -5 + -2)**2.
112*sqrt(5) + 369
Simplify ((sqrt(119)*-2 - sqrt(119))*-3 - sqrt(119) - sqrt(119))/(sqrt(28)*2).
7*sqrt(17)/4
Simplify -5 + (sqrt(700) - (-1 + sqrt(700))) + sqrt(700) + 1.
-3 + 10*sqrt(7)
Simplify (sqrt(171) - -2*sqrt(171) - sqrt(171))/sqrt(9) + sqrt(19) + sqrt(19) + (sqrt(95)/sqrt(5) + -5)**2 + sqrt(19) + sqrt(19) + 2.
-4*sqrt(19) + 46
Simplify (sqrt(40) + sqrt(40) + sqrt(1000)*2 + sqrt(40))/(sqrt(16)/sqrt(2)*3).
13*sqrt(5)/3
Simplify 2*sqrt(39)/sqrt(3) + (sqrt(13) - -5*sqrt(117)).
18*sqrt(13)
Simplify 5*(2 + (sqrt(68) + sqrt(68)*-1 + sqrt(68))/sqrt(4)).
10 + 5*sqrt(17)
Simplify -6*(sqrt(25)/sqrt(5) + -3).
-6*sqrt(5) + 18
Simplify -2*((-6*(1 + sqrt(605)))**2 - ((-2*sqrt(605) + sqrt(605))**2 + 0)).
-42422 - 1584*sqrt(5)
Simplify ((-1*4*sqrt(187))/sqrt(11))**2*-6.
-1632
Simplify ((sqrt(1300) - (1*sqrt(1300) + -4)) + 3 + 5)**2.
144
Simplify 5*(sqrt(2) + 3)*5.
25*sqrt(2) + 75
Simplify -5 + (0 + (sqrt(11) - sqrt(44) - sqrt(11)))**2.
39
Simplify sqrt(847) + 1*sqrt(847) + -2.
-2 + 22*sqrt(7)
Simplify (1*-1*sqrt(133))/((sqrt(7) - (sqrt(7) + sqrt(28)))*4).
sqrt(19)/8
Simplify (sqrt(7) + 1 + 3 - sqrt(70)/(sqrt(30)/sqrt(3)))**2 + -5.
11
Simplify ((sqrt(128)*1 - ((sqrt(2) - (-2*sqrt(2) + 0) - sqrt(2)) + sqrt(2))) + -5)**2.
-50*sqrt(2) + 75
Simplify (sqrt(50) + sqrt(2))*-5*-6.
180*sqrt(2)
Simplify sqrt(22)/sqrt(99) - 1*(sqrt(2) + 0).
-2*sqrt(2)/3
Simplify -1*(4 + (-2 + -2 + sqrt(19) - sqrt(19) - sqrt(19)))*-1.
-sqrt(19)
Simplify (-4*(-1 + sqrt(1584)) - -4*1*sqrt(1584))**2.
16
Simplify sqrt(832)*2 + 0.
16*sqrt(13)
Simplify -4*sqrt(117) + 1.
-12*sqrt(13) + 1
Simplify (-1 + (sqrt(252) - 4*sqrt(252)))**2.
36*sqrt(7) + 2269
Simplify (1*sqrt(24)*-6)/(sqrt(48)*-2).
3*sqrt(2)/2
Simplify 3*sqrt(11)*-1 - (sqrt(11) + 2*sqrt(704)).
-20*sqrt(11)
Simplify 1*sqrt(88)/sqrt(8)*4.
4*sqrt(11)
Simplify -3*sqrt(684) + 5 + 1 + (-2 + sqrt(684) + sqrt(684) + sqrt(684))**2.
-90*sqrt(19) + 6166
Simplify (((1*sqrt(204) + sqrt(204) + sqrt(204))*1 - sqrt(204) - sqrt(204))/(sqrt(108)*2 - sqrt(12))*-6)**2.
612/25
Simplify ((1*-2*sqrt(2299) - sqrt(2299) - sqrt(2299)) + 4)**2.
-352*sqrt(19) + 36800
Simplify (5 + -2 + sqrt(3)*-1)**2.
-6*sqrt(3) + 12
Simplify sqrt(52)*2 + -2 + (sqrt(130) + (sqrt(130) - 5*-2*sqrt(130)) - sqrt(130))/sqrt(10).
-2 + 15*sqrt(13)
Simplify (sqrt(110)/(sqrt(30)/sqrt(3)) + -1 + sqrt(891))**2 + 3 + (3 + sqrt(44)/sqrt(4) - sqrt(11))**2.
-20*sqrt(11) + 1113
Simplify (sqrt(114) + sqrt(114) + (2*sqrt(114)*-1 - sqrt(114)) + sqrt(114))/(sqrt(54)/sqrt(36)).
0
Simplify 1*sqrt(6)/sqrt(2) + 0.
sqrt(3)
Simplify ((sqrt(1053) + 3)**2 - sqrt(1053)) + sqrt(208) + -4.
49*sqrt(13) + 1058
Simplify (sqrt(192) - (sqrt(192) - (-4 + 1 + sqrt(192)))) + sqrt(192) + ((-3 + (sqrt(192) - (sqrt(192) + 1 + sqrt(192))) + sqrt(192))**2 - sqrt(192)).
13 + 8*sqrt(3)
Simplify (-4*-2*sqrt(85))/(sqrt(5) + (sqrt(45) + sqrt(5))*-5 - sqrt(5)).
-2*sqrt(17)/5
Simplify (3 + sqrt(2) + sqrt(8)/sqrt(4) + 4 + 0 + sqrt(2) + 2 + sqrt(2))**2.
72*sqrt(2) + 113
Simplify (sqrt(42)/(sqrt(12)/sqrt(2))*-6)**2.
252
Simplify -3*sqrt(3)*3 - sqrt(3) - (sqrt(3) + 1 + 4 + sqrt(3)).
-12*sqrt(3) - 5
Simplify (sqrt(130)*-1*-4)/((sqrt(100) - (sqrt(100) - sqrt(100)*-2) - sqrt(100) - sqrt(100))/sqrt(10)).
-sqrt(13)
Simplify (sqrt(200) - (3 + (-1*sqrt(200) - sqrt(200))) - sqrt(200))**2 + -3.
-120*sqrt(2) + 806
Simplify -2*sqrt(304)*-1.
8*sqrt(19)
Simplify -4*sqrt(13)*2 + 1.
-8*sqrt(13) + 1
Simplify 4*(sqrt(5) - sqrt(5)*2) - (sqrt(5) + (sqrt(45) + 0)**2 + sqrt(5)).
-45 - 6*sqrt(5)
Simplify (((sqrt(34) - sqrt(850)*1) + sqrt(34) + sqrt(34))/(sqrt(18)/(sqrt(27)/sqrt(3))))**2.
68
Simplify (-3*(sqrt(153) - -1*(sqrt(153) + sqrt(153)*-1 + sqrt(153))))**2.
5508
Simplify 1*(5 + sqrt(91)/(2*sqrt(7))).
sqrt(13)/2 + 5
Simplify 1*(-2 + sqrt(3) + -1)*3.
-9 + 3*sqrt(3)
Simplify (-1*-2*(sqrt(17) + -1 + sqrt(17)))**2.
-16*sqrt(17) + 276
Simplify ((sqrt(2736) - sqrt(2736)*1)**2 - sqrt(19)) + sqrt(152)/(sqrt(8) + sqrt(24)/sqrt(3) + sqrt(8)).
-2*sqrt(19)/3
Simplify sqrt(65)/(sqrt(5) - sqrt(80)) + 2*sqrt(468).
35*sqrt(13)/3
Simplify (1*(sqrt(2299) + 0))**2.
2299
Simplify (sqrt(1872)*-2)/(sqrt(32)/sqrt(200)).
-60*sqrt(13)
Simplify (sqrt(448) + 1 + sqrt(448))*-3 + -4 + -1*sqrt(448).
-56*sqrt(7) - 7
Simplify (6*(4*sqrt(33)/sqrt(3) - sqrt(132)/(sqrt(48)/sqrt(4))))**2.
3564
Simplify -1 + (sqrt(114)/sqrt(6)*-5 - sqrt(19)).
-6*sqrt(19) - 1
Simplify 6*(1*sqrt(125) + -1 + sqrt(5)*-1)**2.
-48*sqrt(5) + 486
Simplify (-6*(0 + sqrt(612)) + sqrt(612) + sqrt(612) - sqrt(612))**2.
15300
Simplify -4*sqrt(132)/sqrt(12) - sqrt(1100)/sqrt(4).
-9*sqrt(11)
Simplify (sqrt(12)/sqrt(6)*2)**2 + -3.
5
Simplify -5*(1 + 1 + sqrt(13) + 2*sqrt(117)).
-35*sqrt(13) - 10
Simplify (sqrt(38) - sqrt(76)/sqrt(2))/sqrt(2) - (sqrt(19) + sqrt(38)/sqrt(2) + 1)**2.
-77 - 4*sqrt(19)
Simplify sqrt(175)*-1 - (sqrt(504)/sqrt(8) + sqrt(63))/sqrt(9).
-7*sqrt(7)
Simplify (sqrt(3200) + (sqrt(3200) - (sqrt(3200) + 1)*-1))**2.
240*sqrt(2) + 28801
Simplify (sqrt(143)/(sqrt(33)/sqrt(3)) + sqrt(13)*1 + -2)**2.
-8*sqrt(13) + 56
Simplify (sqrt(22) - (2*sqrt(132))/sqrt(6))/(sqrt(450) + sqrt(2)).
-sqrt(11)/16
Simplify ((5*(-1 + sqrt(128)) - sqrt(128))*2)**2.
-1280*sqrt(2) + 8292
Simplify sqrt(304)*1 + -1.
-1 + 4*sqrt(19)
Simplify -4*(-1*sqrt(4000))/(2*(sqrt(32) - sqrt(8))).
20*sqrt(5)
Simplify (sqrt(143) + (sqrt(143) - -4*1*sqrt(143)))/(-2*sqrt(11)*-1)*3.
9*sqrt(13)
Simplify sqrt(1100) + -1*(sqrt(1100) + 0).
0
Simplify ((sqrt(130) - (2*sqrt(130)*-2 - sqrt(130))) + sqrt(130))/(sqrt(40)*6).
7*sqrt(13)/12
Simplify (2*(sqrt(70) - sqrt(70)*1))/(sqrt(10) + sqrt(10)*1*4).
0
Simplify 3 + sqrt(13) + sqrt(13) + sqrt(52) + -2 - (4*1*sqrt(13)*3)**2.
-1871 + 4*sqrt(13)
Simplify (4 + sqrt(245) + 2)**2 + -1 + sqrt(245) + -3.
91*sqrt(5) + 277
Simplify sqrt(1100) + 3*(sqrt(1100) + -3).
-9 + 40*sqrt(11)
Simplify (sqrt(140)/(sqrt(28)*-3))**2 + 0.
5/9
Simplify sqrt(78)/sqrt(486)*3.
sqrt(13)/3
Simplify ((sqrt(576) - sqrt(36))*-5)/(sqrt(24)/(2*sqrt(2))).
-30*sqrt(3)
Simplify -5 + (1*sqrt(720)*6)**2.
25915
Simplify 1*sqrt(5) + -2 + sqrt(15)/sqrt(3)*-5.
-4*sqrt(5) - 2
Simplify sqrt(847) + -4 + (-1 + sqrt(847))**2 + -4.
-11*sqrt(7) + 840
Simplify 2*(sqrt(1216) + ((sqrt(1216) - sqrt(1216)*2) + sqrt(1216) - sqrt(1216)))*-5 + 3.
3
Simplify (sqrt(17) + 2 + -3 + sqrt(17))**2*6.
-24*sqrt(17) + 414
Simplify (sqrt(132)/(sqrt(12) + sqrt(12)*2*5))**2.
1/11
Simplify (sqrt(171) + (sqrt(171) - (sqrt(171) + 4)) + sqrt(171))**2 + sqrt(19) + -3.
-47*sqrt(19) + 697
Simplify (3*(sqrt(7) + 0 - sqrt(7))*1)**2.
0
Simplify sqrt(91)/(sqrt(70)/sqrt(810) + sqrt(7)).
9*sqrt(13)/10
Simplify (((sqrt(72) - (sqrt(72) - sqrt(72)*-2))/sqrt(4))/(sqrt(1296)*2 - sqrt(9)))**2*4.
32/529
Simplify ((2*sqrt(112) + sqrt(7) + (sqrt(7) - (sqrt(126)/sqrt(2))/sqrt(9)))*5)**2.
14175
Simplify (-1*sqrt(153)*4)/(3*sqrt(36)).
-2*sqrt(17)/3
Simplify (sqrt(10)/(sqrt(2) - (sqrt(2) - sqrt(18)/sqrt(900)))*-6)**2.
18000
Simplify -3*((6*sqrt(11) + sqrt(11))*-1 - sqrt(11)).
24*sqrt(11)
Simplify 2 + (sqrt(171) - (sqrt(171) + -1)) + sqrt(19).
3 + sqrt(19)
Simplify -4*(-3 + sqrt(396))*-3.
-36 + 72*sqrt(11)
Simplify 1 + sqrt(68) + sqrt(17) + sqrt(17) + ((sqrt(119)*-2)/sqrt(7))**2.
4*sqrt(17) + 69
Simplify sqrt(605)*-1 + 3.
-11*sqrt(5) + 3
Simplify -2*(1*sqrt(45))/sqrt(9).
-2*sqrt(5)
Simplify (0 + (sqrt(637) - (5 + 3 + sqrt(637))))**2.
64
Simplify sqrt(5) + (sqrt(5) + 4)*4 - 2*sqrt(605).
-17*sqrt(5) + 16
Simplify ((2*sqrt(176) + sqrt(176))*3*3)**2.
128304
Simplify 2*(0 + sqrt(72) + 0).
12*sqrt(2)
Simplify (2 + sqrt(1872)*1 - (-1 + sqrt(1872) + 0 + sqrt(1872)))**2 + -3.
-72*sqrt(13) + 1878
Simplify 6*((sqrt(11)*-2 - sqrt(11))*-1)**2.
594
Simplify (sqrt(3) + (sqrt(48))**2 + -1 + sqrt(3))*-1.
-47 - 2*sqrt(3)
Simplify (sqrt(425) - 2*sqrt(425) - (sqrt(2057) + sqrt(2057) + -2))**2.
-108*sqrt(17) + 12397
Simplify 3 + 3*sqrt(2057) + 5.
8 + 33*sqrt | {
"pile_set_name": "DM Mathematics"
} |
.
-21, 8665
Solve -2*b**4 - 204784*b**3/3 - 582405694*b**2 + 776639528*b - 582496712/3 = 0.
-17066, 1/3, 1
Let -5*k**3 - 905*k**2 = 0. What is k?
-181, 0
Solve 25*m**5/4 + 285*m**4/4 - 3125*m**3/2 + 6055*m**2/2 + 58065*m/4 + 39445/4 = 0 for m.
-23, -7/5, -1, 7
Factor 3*z**4 - 522*z**3 - 12*z**2 + 2088*z.
3*z*(z - 174)*(z - 2)*(z + 2)
Find b, given that 4*b**2 + 388564*b + 388560 = 0.
-97140, -1
Factor 4*o**3 + 16384*o**2 + 16875088*o + 200148672.
4*(o + 12)*(o + 2042)**2
Suppose 3*j**4 + 360*j**3 - 10368*j**2 = 0. What is j?
-144, 0, 24
Factor -5*r**3 + 1930*r**2 + 17885*r - 43450.
-5*(r - 395)*(r - 2)*(r + 11)
Find r such that -45*r**2 - 3725*r + 76330 = 0.
-898/9, 17
Factor -3*u**2 - 1070088*u - 95424027312.
-3*(u + 178348)**2
Factor -f**2 - 11399*f - 79744.
-(f + 7)*(f + 11392)
Factor 4*t**3 - 4240*t**2 + 554468*t + 558712.
4*(t - 907)*(t - 154)*(t + 1)
Let 3*g**3 - 3048*g**2 + 817887*g - 21874410 = 0. What is g?
30, 493
Let -f**5 - 36*f**4 - 163*f**3 - 252*f**2 - 124*f = 0. What is f?
-31, -2, -1, 0
Let -4*x**3/3 + 10*x**2/3 + 146*x/3 + 80 = 0. What is x?
-3, -5/2, 8
Factor r**3 - 152*r**2 + 7316*r - 107632.
(r - 62)**2*(r - 28)
What is q in q**5/2 + 47*q**4/2 + 226*q**3 + 158*q**2 - 408*q = 0?
-34, -12, -2, 0, 1
Factor 3*x**3 - 5109*x**2 - 12*x + 20436.
3*(x - 1703)*(x - 2)*(x + 2)
What is y in 2*y**2 - 2402*y = 0?
0, 1201
Let -2*h**3 - 730*h**2 - 33124*h + 144304 = 0. What is h?
-311, -58, 4
Let 58*j**4 + 898134*j**3 + 3475600116*j**2 - 10195006976*j - 719634432 = 0. Calculate j.
-7744, -2/29, 3
What is a in 529*a**3/3 - 10603*a**2/3 + 47432*a/3 + 58564/3 = 0?
-1, 242/23
Factor -2*k**2 - 1678*k + 102144.
-2*(k - 57)*(k + 896)
Let 4*r**5 + 360*r**4 + 7728*r**3 + 48608*r**2 = 0. Calculate r.
-62, -14, 0
Factor o**3/2 + 1965*o**2/2 - 11821*o/2 + 9855/2.
(o - 5)*(o - 1)*(o + 1971)/2
Solve 138*w**4/5 + 1221*w**3/5 - 1569*w**2/5 + 42*w = 0 for w.
-10, 0, 7/46, 1
Factor -3*h**4/5 - 11562*h**3/5 - 4623*h**2 - 11556*h/5.
-3*h*(h + 1)**2*(h + 3852)/5
Find k, given that -5*k**2 + 41975*k + 41980 = 0.
-1, 8396
Determine x so that 2*x**5/3 - 16*x**4/3 - 184*x**3/3 - 132*x**2 + 18*x + 180 = 0.
-3, -2, 1, 15
Solve m**3 - 1754*m**2 + 7004*m - 7000 = 0 for m.
2, 1750
Find k, given that k**3/2 - 91*k**2 + 356*k = 0.
0, 4, 178
Suppose 4*k**4/3 + 80*k**3 + 1204*k**2/3 - 28712*k - 175232/3 = 0. Calculate k.
-37, -2, 16
Determine y, given that 417*y**4/8 - 1653*y**3/8 - 477*y**2/8 + 1653*y/8 + 15/2 = 0.
-1, -5/139, 1, 4
Factor -x**2 - 341112*x - 29089349136.
-(x + 170556)**2
Suppose q**2/2 + 1013742*q + 513836421282 = 0. Calculate q.
-1013742
Solve 65*w**5/2 - 2205*w**4/4 + 1215*w**3/4 + 6265*w**2/2 + 120*w = 0.
-2, -1/26, 0, 3, 16
Suppose 3*m**5 - 2124*m**4 + 479178*m**3 - 44661372*m**2 + 1540978155*m - 4233748608 = 0. What is m?
3, 107, 384
Suppose -3*z**4 + 14694*z**3 - 18080751*z**2 + 215384652*z - 644570892 = 0. Calculate z.
6, 2443
Find y, given that 3*y**3/2 + 332460*y**2 = 0.
-221640, 0
Solve 3*c**2 - 48951*c - 48954 = 0 for c.
-1, 16318
Factor -4*a**4 - 252*a**3 - 3072*a**2 - 8960*a + 12288.
-4*(a - 1)*(a + 8)**2*(a + 48)
Suppose -5*h**5 + 105*h**4 + 55*h**3 - 1245*h**2 + 1930*h - 840 = 0. Calculate h.
-4, 1, 2, 21
Suppose -c**4/4 + 733*c**3/4 - 100215*c**2/2 + 6061775*c - 273899750 = 0. What is c?
170, 223
Factor -4*h**3 + 448*h**2 + 7056*h.
-4*h*(h - 126)*(h + 14)
Let -i**5/2 + 585*i**4/4 + 2679*i**3/4 - 1759*i**2/4 - 6849*i/4 + 2673/2 = 0. Calculate i.
-9/2, -2, 1, 297
Factor 3650692*d**4 + 2548070108*d**3 - 78808620*d**2 + 812468*d - 2792.
4*(d + 698)*(97*d - 1)**3
Suppose 3*t**2/2 - 994965*t + 329985117075/2 = 0. What is t?
331655
Factor -4*t**3 - 336*t**2 - 932*t + 3240.
-4*(t - 2)*(t + 5)*(t + 81)
What is o in 2*o**5/7 + 458*o**4/7 - 208*o**3 - 14968*o**2/7 - 27904*o/7 - 14848/7 = 0?
-232, -2, -1, 8
Find l such that -3*l**2/2 + 199*l/2 + 13905 = 0.
-206/3, 135
What is c in 2*c**5 + 21168*c**4 + 55989356*c**3 - 112042224*c**2 + 56031698*c = 0?
-5293, 0, 1
Suppose -p**4/2 - 83*p**3/2 - 159*p**2/2 + 243*p/2 = 0. Calculate p.
-81, -3, 0, 1
Suppose 24*q**5 + 16443*q**4 + 34773*q**3 - 41157*q**2 - 120981*q - 61470 = 0. Calculate q.
-683, -2, -1, 15/8
Suppose 2*a**4 + 74*a**3 - 748*a**2 - 5664*a + 6336 = 0. Calculate a.
-44, -6, 1, 12
Determine v so that -20*v**4 - 8235*v**3 + 2959880*v**2 + 2226585*v - 741510 = 0.
-642, -1, 1/4, 231
Let 4*q**3 - 64*q**2 - 9668*q - 28320 = 0. What is q?
-40, -3, 59
Let -2*g**5/7 - 1324*g**4/7 - 304376*g**3/7 - 28302352*g**2/7 - 936054272*g/7 - 1761313024/7 = 0. Calculate g.
-244, -86, -2
Factor -231426098*l**2 + 1032672*l - 1152.
-2*(10757*l - 24)**2
Factor 5*k**3 + 795*k**2 + 11760*k - 1776740.
5*(k - 37)*(k + 98)**2
Determine i, given that 5*i**4 - 135*i**3 + 320*i**2 + 4860*i + 4400 = 0.
-4, -1, 10, 22
Find t such that -5*t**4 - 1030*t**3 - 53345*t**2 - 103620*t - 51300 = 0.
-114, -90, -1
Find v, given that -v**5/6 + 9589*v**4/6 - 11515172*v**3/3 + 103363418*v**2/3 - 275405840*v/3 + 183552800/3 = 0.
1, 4, 4790
Factor -a**3 - 15392*a**2 + 76985*a.
-a*(a - 5)*(a + 15397)
Factor -3*m**5 - 261*m**4 - 1968*m**3 - 5784*m**2 - 7632*m - 3792.
-3*(m + 2)**4*(m + 79)
Factor -4*j**3/7 - 340*j**2/7 - 7104*j/7.
-4*j*(j + 37)*(j + 48)/7
What is d in -4*d**3 + 1116*d**2 - 54060*d + 52948 = 0?
1, 61, 217
Factor -y**5 - 44*y**4 - 80*y**3 + 176*y**2 + 336*y.
-y*(y - 2)*(y + 2)**2*(y + 42)
Factor g**5/12 + 2057*g**4/6 + 1058840*g**3/3 + 2113568*g**2/3.
g**2*(g + 2)*(g + 2056)**2/12
What is o in 55*o**2 - 115*o - 840 = 0?
-3, 56/11
Suppose o**3 - 393873*o**2 - 787749*o - 393875 = 0. What is o?
-1, 393875
Factor -3*l**3 + 92775*l**2.
-3*l**2*(l - 30925)
Find u such that 2*u**4/19 - 78*u**2/19 - 140*u/19 = 0.
-5, -2, 0, 7
Let -3*a**3/4 - 276*a**2 - 2172*a - 4320 = 0. What is a?
-360, -4
Let 3*o**5/8 + 27*o**4/8 + 3*o**3/4 - 39*o**2/2 - 9*o + 24 = 0. Calculate o.
-8, -2, 1, 2
Determine z so that -z**5/3 + 136*z**4/3 - 1813*z**3/3 - 67094*z**2 - 434112*z + 5094432 = 0.
-19, 6, 84
Factor 2*d**2/7 - 6772*d/7 - 6774/7.
2*(d - 3387)*(d + 1)/7
Find z such that 121*z**4 + 68651*z**3 + 365193*z**2 + 254485*z - 688450 = 0.
-562, -35/11, 1
Determine d so that -21*d**4 - 216*d**3 - 543*d**2 - 432*d - 84 = 0.
-7, -2, -1, -2/7
Let 4*i**5 - 688*i**4 + 26964*i**3 + 269848*i**2 - 3548608*i = 0. What is i?
-14, 0, 8, 89
Find b, given that -5*b**5/3 + 3185*b**4/6 + 11455*b**3/2 + 59135*b**2/6 + 27965*b/6 = 0.
-17/2, -1, 0, 329
Factor h**3 + 1087*h**2 - 16516*h + 15428.
(h - 14)*(h - 1)*(h + 1102)
Suppose 25*k**2 + 2470*k - 5040 = 0. What is k?
-504/5, 2
Find j such that -88360*j**3 - 1062952*j**2 - 158018*j/5 - 1176/5 = 0.
-12, -7/470
Let s**2/4 + 631*s/4 - 99561/2 = 0. Calculate s.
-862, 231
What is f in 374*f**2 + 51258*f/5 + 548/5 = 0?
-137/5, -2/187
What is h in -h**4 + 110*h**3 + 45075*h**2 - 2645500*h - 578402500 = 0?
-130, 185
Let b**3 - 22350*b**2 + 124992300*b - 1247689000 = 0. Calculate b.
10, 11170
Find a, given that a**4/6 + 125*a**3/2 + 17854*a**2/3 + 17050*a - 23064 = 0.
-186, -4, 1
Let 2*z**5/5 + 36*z**4/5 - 194*z**3/5 - 3604*z**2/5 - 12864*z/5 - 13376/5 = 0. What is z?
-19, -4, -2, 11
Suppose k**2/3 + 419*k/3 + 6878 = 0. What is k?
-362, -57
Determine a, given that 5*a**3 + 19240*a**2 + 76895*a + 57660 = 0.
-3844, -3, -1
What is i in 50*i**5 + 19460*i**4 + 1805258*i**3 - 17293960*i**2 + 12963656*i - 2534464 = 0?
-199, 2/5, 8
Factor -4*m**4 - 2804*m**3 - 57708*m**2 - 401212*m - 932960.
-4*(m + 7)**3*(m + 680)
Factor 2*j**3/5 + 1164*j**2/5 + 65638*j/5 + 126636/5.
2*(j + 2)*(j + 61)*(j + 519)/5
Find i, given that -5*i**4 + 140*i**3 + 29655*i**2 + 183610*i - 18711880 = 0.
-43, 22, 92
Factor -5*p**5 - 155*p**4 + 2130*p**3 - 7480*p**2 + 3680*p + 13440.
-5*(p - 4)**3*(p + 1)*(p + 42)
Let -5*v**5 + 140*v**4 - 95*v**3 - 1140*v**2 + 1620*v = 0. Calculate v.
-3, 0, 2, 27
Solve -5*p**2 + 76420*p - 292000820 = 0.
7642
Find h such that -2*h**2/5 - 2568*h/5 - 7686/5 = 0.
-1281, -3
Suppose 17*q**2 - 54769*q + 38652 = 0. What is q?
12/17, 3221
Factor -r**2/2 - 45*r/4 - 11/2.
-(r + 22)*(2*r + 1)/4
Factor -3*r**3/4 + 45*r**2/2 - 819*r/4 + 588.
-3*(r - 16)*(r - 7)**2/4
Factor -2*r**3/9 - 296*r**2/3 + 498*r - 3592/9.
-2*(r - 4)*(r - 1)*(r + 449)/9
Solve -r**3/4 + 74*r**2 + 2441*r/4 - 684 = 0 for r.
-9, 1, 304
Suppose -c**3 - 3*c**2 + 130*c = 0. What is c | {
"pile_set_name": "DM Mathematics"
} |
ement from eeeeeeeeeeeqe.
11/13
What is prob of sequence ii when two letters picked without replacement from {i: 2, e: 4}?
1/15
What is prob of sequence rcr when three letters picked without replacement from ccr?
0
Four letters picked without replacement from {g: 2, n: 2, s: 1, q: 2, p: 1}. What is prob of sequence sqgp?
1/420
Two letters picked without replacement from rbptv. What is prob of sequence tr?
1/20
What is prob of sequence hvug when four letters picked without replacement from uggqggvvqvh?
1/660
What is prob of sequence cdm when three letters picked without replacement from cdcuuduuuum?
2/495
Calculate prob of sequence nn when two letters picked without replacement from {n: 3, t: 4}.
1/7
Two letters picked without replacement from tiiiititttttt. Give prob of sequence tt.
14/39
Four letters picked without replacement from ififdggiidigiifiig. What is prob of sequence gigf?
3/680
Two letters picked without replacement from {i: 4, t: 5, e: 2}. What is prob of sequence ee?
1/55
What is prob of sequence qq when two letters picked without replacement from {k: 1, v: 1, g: 6, t: 1, q: 3}?
1/22
Calculate prob of sequence vkiv when four letters picked without replacement from {i: 2, o: 2, k: 3, v: 2}.
1/252
Two letters picked without replacement from gggggggggmgg. Give prob of sequence gm.
1/12
What is prob of sequence xjxw when four letters picked without replacement from wnwxxjxtexejttj?
1/455
Two letters picked without replacement from rirjrrrrrrjrjjaijrr. What is prob of sequence rr?
55/171
What is prob of sequence iss when three letters picked without replacement from {t: 3, s: 2, a: 2, i: 4}?
4/495
Calculate prob of sequence bifi when four letters picked without replacement from {c: 4, b: 1, i: 6, f: 2, n: 2}.
1/546
Three letters picked without replacement from {p: 2, y: 1, i: 2, f: 2, z: 1, u: 4}. What is prob of sequence pyf?
1/330
What is prob of sequence nnn when three letters picked without replacement from rrrkrnkkkr?
0
Four letters picked without replacement from {n: 5, p: 1, d: 1, h: 3}. What is prob of sequence dphh?
1/840
Two letters picked without replacement from {c: 1, f: 2, w: 1, u: 1, x: 3, e: 3}. Give prob of sequence ee.
3/55
What is prob of sequence wbb when three letters picked without replacement from rbrwb?
1/30
What is prob of sequence rn when two letters picked without replacement from rgbqrqqbqqgbnqqqqqq?
1/171
What is prob of sequence sm when two letters picked without replacement from wscmm?
1/10
Calculate prob of sequence hxh when three letters picked without replacement from ddgrhhdddrgdxdx.
2/1365
Three letters picked without replacement from {j: 1, u: 1, c: 3, d: 2}. Give prob of sequence jdd.
1/105
Calculate prob of sequence jj when two letters picked without replacement from jjpnjjpnpjjpnjjjjnnn.
9/38
Calculate prob of sequence ye when two letters picked without replacement from {a: 1, e: 5, y: 4, l: 1, x: 1, u: 7}.
10/171
Calculate prob of sequence tbtf when four letters picked without replacement from {f: 2, b: 4, t: 4}.
2/105
Three letters picked without replacement from jjjplpcppgqpgjpggjp. What is prob of sequence ppc?
7/969
Four letters picked without replacement from eessss. What is prob of sequence esss?
2/15
Two letters picked without replacement from aexaaazz. Give prob of sequence xz.
1/28
What is prob of sequence oy when two letters picked without replacement from wvwaoayaa?
1/72
Three letters picked without replacement from kkkkfkkfkkkkbfkkk. What is prob of sequence kfb?
13/1360
Two letters picked without replacement from {d: 1, v: 1, n: 2, i: 2}. Give prob of sequence ni.
2/15
What is prob of sequence gzgp when four letters picked without replacement from {g: 2, p: 1, z: 4}?
1/105
What is prob of sequence xxbb when four letters picked without replacement from {x: 2, b: 4}?
1/15
Calculate prob of sequence hvq when three letters picked without replacement from qhv.
1/6
What is prob of sequence xt when two letters picked without replacement from cucxuuxtuppqpppccpqq?
1/190
Two letters picked without replacement from yayayyyaay. What is prob of sequence ay?
4/15
Calculate prob of sequence oqo when three letters picked without replacement from {o: 5, q: 2}.
4/21
Four letters picked without replacement from yyye. Give prob of sequence yyye.
1/4
What is prob of sequence ww when two letters picked without replacement from {p: 6, h: 2, w: 5, j: 1, t: 1}?
2/21
Calculate prob of sequence qqgr when four letters picked without replacement from {r: 1, q: 2, g: 1}.
1/12
What is prob of sequence pj when two letters picked without replacement from ttjptptp?
3/56
Three letters picked without replacement from {w: 12, f: 1, g: 1, e: 1}. Give prob of sequence gef.
1/2730
Calculate prob of sequence mm when two letters picked without replacement from {m: 6, z: 12}.
5/51
Calculate prob of sequence aaa when three letters picked without replacement from {a: 15, g: 4}.
455/969
Three letters picked without replacement from {k: 1, h: 1, o: 2, w: 1}. What is prob of sequence kko?
0
What is prob of sequence qqkv when four letters picked without replacement from {p: 1, y: 2, q: 4, v: 1, k: 3}?
1/220
What is prob of sequence bw when two letters picked without replacement from {r: 1, e: 3, b: 6, w: 2, a: 7}?
2/57
Two letters picked without replacement from ppppepnpppvppsbvppbp. Give prob of sequence pp.
39/95
Calculate prob of sequence ppq when three letters picked without replacement from {j: 1, y: 2, f: 3, q: 1, p: 5}.
1/66
Calculate prob of sequence xzj when three letters picked without replacement from fannnnnzxzjnann.
1/1365
Three letters picked without replacement from {c: 5, y: 6, q: 6, i: 1}. Give prob of sequence iyc.
5/816
Two letters picked without replacement from nvhncnnhhhnnnzhhnczb. What is prob of sequence nz?
4/95
Three letters picked without replacement from zzczzzjczzzzczzzijz. Give prob of sequence cjj.
1/969
Four letters picked without replacement from {j: 1, x: 1, l: 2, t: 1, q: 2, v: 8}. What is prob of sequence vjqx?
2/4095
Calculate prob of sequence uc when two letters picked without replacement from ukkcuuufua.
1/18
Calculate prob of sequence pb when two letters picked without replacement from pbpbppbzxpppbzpxb.
5/34
Calculate prob of sequence fiuf when four letters picked without replacement from {i: 3, u: 6, f: 6}.
3/182
What is prob of sequence tk when two letters picked without replacement from {i: 1, k: 3, t: 1}?
3/20
What is prob of sequence px when two letters picked without replacement from {e: 1, x: 1, p: 8, g: 4, b: 3}?
1/34
Calculate prob of sequence hhkk when four letters picked without replacement from hhhkhhlrkllk.
1/99
Two letters picked without replacement from yhhrnrrrrrnr. What is prob of sequence hn?
1/33
Calculate prob of sequence ev when two letters picked without replacement from {v: 1, f: 4, e: 9, w: 1, z: 3}.
1/34
Four letters picked without replacement from {g: 5, v: 7, y: 4}. Give prob of sequence yvvg.
1/52
Two letters picked without replacement from fgofooffofoofgffog. Give prob of sequence fo.
28/153
Four letters picked without replacement from mfffeqfeq. What is prob of sequence ffeq?
1/63
Calculate prob of sequence ttct when four letters picked without replacement from {c: 2, t: 11}.
3/26
What is prob of sequence pg when two letters picked without replacement from {g: 1, v: 7, i: 3, p: 1}?
1/132
Four letters picked without replacement from {y: 5, m: 7}. What is prob of sequence ymmm?
35/396
Two letters picked without replacement from {r: 8, u: 5, f: 3, b: 2, n: 1}. What is prob of sequence bb?
1/171
Calculate prob of sequence cz when two letters picked without replacement from {i: 2, c: 2, x: 2, v: 4, z: 3, o: 2}.
1/35
Calculate prob of sequence ffvv when four letters picked without replacement from vvvvvfvvvvvvfvvvff.
91/3060
Calculate prob of sequence wnw when three letters picked without replacement from zwawunq.
1/105
Four letters picked without replacement from ssseseessssssssees. Give prob of sequence sses.
143/1224
Calculate prob of sequence rm when two letters picked without replacement from mmrmsrmmarmarra.
1/7
Four letters picked without replacement from {f: 2, e: 2, l: 3, t: 3, p: 7, g: 1}. Give prob of sequence lllp.
7/12240
Three letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
st to 1 in 2/9, -4/7, x?
2/9
Let v = -91 - -91.2. Which is the closest to -1? (a) 5/3 (b) v (c) -4/3
c
Let d be 483/(-182) + (-20)/(-8). Which is the closest to d? (a) 3/7 (b) 0.3 (c) 5
b
Let c = -0.8 - -0.6. Let y be 2 - (-1 - -4) - -2. What is the closest to c in -3, -5, y?
y
Let k = -0.03 + 4.03. Let q = k - 0. Which is the nearest to 0.1? (a) q (b) -2/17 (c) -2/15
b
Let x = 0.3 + -0.1. Let j = 0.05 + -0.15. Let r = 2.1 + j. Which is the nearest to x? (a) r (b) -2 (c) 2/5
c
Let p = -28 - -32. Let t be -1 + ((-40)/(-6))/p. Which is the closest to -0.1? (a) -2 (b) 0 (c) t
b
Let h(k) = -2*k - 2. Let m(i) = 3*i + 3. Let y(a) = 5*h(a) + 3*m(a). Let g be y(-1). What is the closest to 1/2 in -1, -3, g?
g
Let d = 24/13 + -9/26. Let r = -139/4 + 35. Which is the closest to -2/7? (a) r (b) -0.2 (c) d
b
Let l = 716 + -37950/53. Let o = l - 43/265. Which is the nearest to -1? (a) o (b) -1/6 (c) 1
a
Let u(z) = -z - 5. Let p be u(-4). Let j be p*(-3 + (-2 - -1)). Which is the closest to 2? (a) 1/7 (b) 1 (c) j
b
Let s = 63681/5 + -12795. Let u = 59 + s. Let r be 3/2*(-24)/9. What is the nearest to -2 in r, 4, u?
r
Suppose 0 = n + 4*n - 4*w - 36, 2*n + 3*w = -4. Let q be 18/(-12) + 2/n. Which is the closest to -1? (a) q (b) -0.1 (c) -3
a
Let n be (-8)/(-64) + (1 - 15/12). Which is the nearest to n? (a) 0.5 (b) 2/5 (c) -0.2
c
Let l be (38/(-40) - 0) + 16/80. Which is the nearest to 2? (a) -4 (b) l (c) -5/4
b
Let v(y) = 4*y**3 - 2*y**2 - y. Let l be v(-1). Let k be 2/11 - (25/(-44) - -1). Which is the nearest to k? (a) l (b) -0.3 (c) -0.4
b
Let i(p) = p**3 + 9*p**2 - 10*p + 5. Let y be i(-10). Suppose 0 = y*o + f - 6, -o + f = 2*f + 2. Which is the nearest to -2/7? (a) 0.1 (b) o (c) 0.3
a
Let b(d) = -d**3 - 2*d**2 + 2*d. Let j be b(-2). Let x = 0.8 + -0.86. Let k = x - -0.36. What is the closest to 0 in j, 2, k?
k
Let l be ((-1)/(-5))/(4/30). Let j = 0.06 - -1.94. Let q be (-4)/10 + 78/45. Which is the closest to -0.1? (a) l (b) j (c) q
c
Let h = 0.12 - 0.32. Suppose -7*o = -3*o - 12. Which is the closest to h? (a) -1 (b) o (c) -2
a
Let v be 94/(-10) + 8/20. Let j = -41/40 - -5/8. What is the closest to j in v, 1/5, -1/8?
-1/8
Let w = 15 - 16. Which is the closest to 1? (a) w (b) 2/5 (c) -2/11
b
Let k = 0.07 + -0.01. Let l = k + 1.94. Let y = 0.05 - -0.95. What is the nearest to 0.1 in y, l, -1/8?
-1/8
Let l = 5.4 - 5.4. Let t = -0.3 - -0.1. Which is the closest to t? (a) 0.5 (b) -0.1 (c) l
b
Let d = 8.9 + -8. Let t = 1.2 - d. What is the nearest to 1 in 0.1, -3/7, t?
t
Let h = -6.8 - -8.8. Let r = 9 + -14. Which is the closest to h? (a) r (b) 3 (c) -1
b
Let v = 0.061 + 1.899. Let g = -0.04 - v. What is the nearest to 0.2 in -1/4, 0.2, g?
0.2
Let z be (24/64)/((-6)/4). What is the closest to -0.3 in 0.3, 0.5, z?
z
Let l be 8/12*(-3)/7. Let g = -109 + 101.9. Let i = -7 - g. What is the closest to l in -5, 3/2, i?
i
Let n = 23 - 68/3. Let g be (11 + -8)*(-2)/(-24). Which is the closest to n? (a) 2 (b) 0.2 (c) g
c
Let b = 0.9 + -1. What is the nearest to -0.06 in 2, b, 1/8?
b
Suppose -2 = u + 13. Let k be u/12*(-4)/6. Let x = 2 + -2.5. What is the nearest to -1 in x, k, -0.4?
x
Let u = -5 + 5.3. Let k = -0.72 - -2.72. Which is the closest to k? (a) -2/11 (b) u (c) -2
b
Let z = 1 - 0.9. Let l = -196/5 + 39. Which is the nearest to z? (a) l (b) -5 (c) 4
a
Let d = -6 - -4. Let s = 1 - -1. Let x = -5 + s. What is the closest to 0.1 in d, x, -4?
d
Let t = -234 + 2108/9. Which is the nearest to -2/5? (a) t (b) -0.07 (c) 4
b
Suppose 0*m - m - 14 = 0. Let w be (-4)/(-14) - 66/m. Let l be 13/39 + 14/(-78). Which is the closest to 1? (a) w (b) -5 (c) l
c
Let i be (-1)/(-3) + (-10)/(-6). Which is the closest to -1? (a) i (b) -0.1 (c) 2/11
b
Suppose -4*l = l - 25. Which is the closest to -1? (a) -1/4 (b) l (c) -5
a
Let w = 7 + -3. Which is the nearest to 1/2? (a) w (b) -5 (c) 1/3
c
Let r = 676/9 - 75. Let u(s) = -s**2 - 8*s + 2. Let k be u(-8). Let q = k - 1. Which is the nearest to 0? (a) q (b) r (c) -2/9
b
Suppose 0 = 4*z + 2*a - 12, -3*z + 4 = -2*a + 2. Let t(d) be the first derivative of d**2 - 2*d + 2. Let i be t(z). What is the closest to 1 in -1/2, -0.2, i?
i
Let y = 39 + -13. Let v be (-8)/(-16) - y/36. Let z = 1/16 + 3/16. Which is the closest to z? (a) -5 (b) v (c) 1/2
c
Suppose -3*q + 30 = 2*o + 2*q, -o + 25 = 5*q. What is the closest to 1 in o, 0.2, -2/7?
0.2
Let d = 17 - 25. Let k = 4 + d. What is the nearest to -0.1 in -4/7, 1, k?
-4/7
Suppose 2*o = -2*n - 12, -3*o - 3 = -2*n - 0*n. Let m = 87 - 91. Let a = 0.7 + -0.4. What is the closest to n in 5, m, a?
m
Let p = 1684/7 - 240. Let i = -20 - -22. Which is the nearest to 0? (a) i (b) p (c) 0.5
c
Suppose -6 = 2*g + 4. Let q be (-18)/(-12)*4/(-3). Which is the nearest to -2? (a) g (b) q (c) 1/3
b
Let m(y) = -21*y + 1. Let w = -6 + 7. Let q be m(w). Let f be q/(-21) - (-2)/(-3). What is the closest to f in 0, -2, 4?
0
Let z = -0.06 - 0.14. Let p be (1/3)/((-6)/(-72)). Suppose -p*d - 30 = -4*b - 2*d, b + 15 = -4*d. What is the closest to 0.1 in 4/5, b, z?
z
Let t = 3 + 4. Let n = t + -8. Let a = 47 + -187/4. What is the nearest to a in 4, 5, n?
n
Let m = -10 - -6. Let u be (-6)/(-20) + (-2)/4. Let i = 0.2 - 0.1. What is the closest to i in -1, u, m?
u
Let p be -1 + 2 + (-4)/4. Let y = -7 + 10. What is the closest to 0.2 in -2/5, p, y?
p
Let t be (56/(-105) - (-2)/10)*-15. What is the closest to 0 in t, -1/6, -1/3?
-1/6
Let y = -0.8 + 0.8. What is the nearest to y in 1, -3, 1/3?
1/3
Let g be (-2 - -4) + (-20)/9. What is the nearest to 0 in 0.5, 2, g?
g
Let z = -97/36 + 22/9. Which is the nearest to 0? (a) z (b) -2 (c) -3/11
a
Let f be (2/(-11))/(4 + -2). Which is the nearest to -1? (a) f (b) -0.3 (c) -2
b
Let y = 51/2 + -25. What is the closest to 1/5 in y, 2/3, 5?
y
Let x = -2.98 - 0.02. Let j = -0.4 - -0.8. Let v = -109/63 + 13/9. Which is the closest to 2/5? (a) j (b) v (c) x
a
Let j = -1.9 - -2.9. What is the closest to 1 in 5, -2, j?
j
Let r = 0.505 - 0.005. Which is the closest to 0? (a) -1 (b) 0.2 (c) r
b
Let c = -4.584 - 0.016. Let d = c + 5. Let h = 1.56 + 0.44. What is the closest to 0 in h, d, 0.2?
0.2
Let l = -193/8 + 24. Let d be (-10)/8 - 3/(-3). Which is the nearest to d? (a) 1 (b) -5 (c) l
c
Let l = -0.174 - 0.026. What is the nearest to 0.2 in 2, 5, l?
l
Let z be 1/2 + (-18)/20. Let w = -107 + 113.3. Let g = w + -1.3. What is the nearest to z in g, 0.3, 1?
0.3
Let l = 1 - 0.7. Let g = 3 + -7. Let o(h) = h**3 + 3*h**2 + h + 1. Let z be o(-2). What is the nearest to 0 in g, l, z?
l
Let t = -139 - -137. What is the closest to 6 in 3/8, t, 0.1?
3/8
Suppose 2*l - 35 = g + 4*g, 0 = -5*l + 5*g + 50. Let q = -7/4 - -27/20. Which is the nearest to l? (a) -1 (b) -5 (c) q
c
Let b = -1.09 - -6.39. Let k = -0.05 + 5.05. Let h = k - b. What is the closest to 1/3 in -4, h, -5?
h
Let c = -118/273 - 4/91. Let w = -1/7 - c. What is the closest to -1/3 in -2, 0, w?
0
Let f = 308/9 + -34. Which is the closest to 0? (a) -0.05 (b) 1/4 (c) f
a
Let o = -0.5 + 0.7. Let w = 3.1 + -3. Let f = -0.1 - w. What is the closest to f in o, 3, 5?
o
Let f = 0.2 - 0.1. Suppose -4*d - 23 + 1 = p, 0 = -2*d - 2*p - 8. Let x be 3/6*(-4)/d. Which is the nearest to 2/3? (a) x (b) 4 (c) f
a
Let h = -7.4 - -7. Let z = -3 - -3.4. Let d = z + h. Which is the closest to d? (a) 0 (b) 2 (c) -3
a
Let v = 0.03 + 0.07. Suppose 3 = -m + 5*t, -3*m + 3*t = 2 - 5. Suppose 2*n = -m - 6. Which is the closest to v? (a) 2 (b) n (c) 3
a
Let v = -257/655 + -1/131. What is the nearest to 1/4 in -2, v, 3?
v
Let s = -30 - -17. Let o = s - -16.3. Let d = o + 0.7. What is the closest to 1/5 in 2/7, -5, d?
2/7
Let r = -38059745/2898 - -118208/9. Let j = r - 24/23. Let u = j - -5/126. Which is the closest to 0? (a) 0.2 (b) -2/7 (c) u
c
Let y = -16 - -14. Which is the nearest to -1? (a) -0.3 (b) y (c) -3
a
Suppose -2*g = 3*g + 2*w + 9, 1 = 3*g - 2*w. Let p = -0.8 - -0.5. Which is the closest to g? (a) p (b) 4 (c) 5
a
Let l = -116/3 + 1282/33. Let f be (-1)/(-2 + -1) - 1. Which is the closest to -1? (a) l (b) f (c) -3
b
Suppose 0 = -2*t + g + 2*g, -5*g - 7 = -t. Let p be (2/t)/(26/6). What is the nearest to 0 in -2/5, p, -1/2?
p
Supp | {
"pile_set_name": "DM Mathematics"
} |
10100100011
In base 7, what is -103 - 330043434?
-330043540
In base 4, what is -2310033300 - 33?
-2310033333
In base 4, what is -2112330230 + 3210?
-2112321020
In base 14, what is 8b - 28dd7?
-28d4a
In base 8, what is 20172311 - 24?
20172265
In base 6, what is -10041552450 - 4?
-10041552454
In base 12, what is -b6 + -1b02b6?
-1b03b0
In base 2, what is -10100011010100010100010011 - 101?
-10100011010100010100011000
In base 11, what is 1 - 2035173?
-2035172
In base 9, what is 155 - 1134080?
-1133824
In base 4, what is -332022111031 + 3?
-332022111022
In base 3, what is -1 - -221201002112002?
221201002112001
In base 14, what is -d70c236 - 2?
-d70c238
In base 4, what is 10210330 + -12231?
10132033
In base 12, what is -43920 + -13?
-43933
In base 5, what is -1101130120 - 114?
-1101130234
In base 9, what is -68262 + 51?
-68211
In base 14, what is 384b + 19719?
1d166
In base 9, what is 582 + -4576?
-3884
In base 15, what is 14 + -2590c8?
-2590b4
In base 3, what is -11122221202221211201 - -1?
-11122221202221211200
In base 16, what is 192d383 + -18?
192d36b
In base 6, what is 443545 - -25?
444014
In base 9, what is 3 - 323523461?
-323523457
In base 12, what is -9a08246 + 3?
-9a08243
In base 4, what is -11 - -103320233033?
103320233022
In base 3, what is 20020 - -221111101?
221201121
In base 6, what is -142230 - -123132?
-15054
In base 12, what is 2 - -13b4968?
13b496a
In base 14, what is -113 - -8b538?
8b425
In base 5, what is -1234311 + -31004?
-1320320
In base 3, what is 20100 + -1010222012001?
-1010221221201
In base 7, what is 1150 + -651306?
-650126
In base 2, what is 10101 + -1011011101001?
-1011011010100
In base 8, what is 315577 - 1127?
314450
In base 8, what is 1 - -5032472?
5032473
In base 2, what is -1 + 100011011111101000101111?
100011011111101000101110
In base 12, what is 23159a6 - 1?
23159a5
In base 12, what is -a7 - 11744?
-1182b
In base 13, what is 72 + 21690?
21732
In base 5, what is 4 - 42430334024?
-42430334020
In base 8, what is -4035416 - -10?
-4035406
In base 2, what is -1 - 110110000111110010001010?
-110110000111110010001011
In base 9, what is 1428537 + 254?
1428802
In base 14, what is -15144 - -1b45?
-133dd
In base 2, what is 11100100011100 + -10000001100?
11010100010000
In base 8, what is -4227 - -2010?
-2217
In base 10, what is -3 - 3130741?
-3130744
In base 13, what is 4 - -53c348?
53c34c
In base 5, what is 2 + 4323132102?
4323132104
In base 15, what is 4b - -8996e?
899ba
In base 3, what is -2 + -211111102100121?
-211111102100200
In base 11, what is -1 - 9371184?
-9371185
In base 13, what is -10ba6 + 87?
-10b1c
In base 3, what is 1022021222102202 - -11?
1022021222102220
In base 11, what is 222 + 48aa43?
490165
In base 11, what is -1 + -45205175?
-45205176
In base 5, what is 4 + -403333134?
-403333130
In base 10, what is 3179 - 2189?
990
In base 8, what is -1265 - 11461?
-12746
In base 11, what is 13822 - -4685?
183a7
In base 3, what is -2001210220000022 - -11?
-2001210220000011
In base 15, what is 0 - -d78203?
d78203
In base 2, what is 1011 - -1101110100000111111011010?
1101110100000111111100101
In base 3, what is -20012100222002102 + -10?
-20012100222002112
In base 9, what is -20 + 240262?
240242
In base 16, what is 618da23 + 0?
618da23
In base 12, what is 88a1 + -330?
8571
In base 4, what is -13 - -1101303201203?
1101303201130
In base 6, what is 102320041 + 141?
102320222
In base 13, what is 2a8 - 9c59?
-9981
In base 8, what is 13077305 - 15?
13077270
In base 3, what is 12 + 121211102101?
121211102120
In base 8, what is 6 + -2165522?
-2165514
In base 9, what is 1280025 - -26?
1280052
In base 5, what is 1103 - 12030341?
-12024233
In base 12, what is -12320 + -b8?
-12418
In base 7, what is 2 - -25544541?
25544543
In base 11, what is -8a25301 - 29?
-8a2532a
In base 11, what is -973289a7 - 5?
-97328a01
In base 10, what is 1423 + -13183?
-11760
In base 3, what is -12 + 21111201121000110?
21111201121000021
In base 16, what is 7f4a5f - 5?
7f4a5a
In base 12, what is 7b + 908329?
9083a8
In base 7, what is 100036 + -2640?
64066
In base 4, what is -12320 - 2030030?
-2103010
In base 5, what is -3303 - -120414124?
120410321
In base 4, what is 3013 + 200033?
203112
In base 2, what is 101010110101110100 + 1101?
101010110110000001
In base 2, what is -101110110111 - 1001010001?
-111000001000
In base 12, what is -948 + 118a7?
10b5b
In base 3, what is -2022 + -10210211020010?
-10210211022102
In base 9, what is 1204281 + 22?
1204313
In base 15, what is b0 + 72869?
72929
In base 4, what is -30 - 1120313121202?
-1120313121232
In base 5, what is -11343341 + 20432?
-11322404
In base 6, what is -2020042334 - 1?
-2020042335
In base 9, what is 4 + -602381671?
-602381666
In base 13, what is 14a489 - 23a?
14a24c
In base 12, what is 1339 + -1304b?
-11912
In base 12, what is -1a + b68b9b5?
b68b997
In base 3, what is -1200121101 - -110212010?
-1012202021
In base 15, what is b1aad + -4?
b1aa9
In base 9, what is 2435 - -65337?
67773
In base 11, what is -13a02602 + -1?
-13a02603
In base 9, what is -4800184 + 11?
-4800173
In base 13, what is 316049a - -48?
3160515
In base 10, what is 283 + -51440?
-51157
In base 11, what is 17 + -93956?
-9393a
In base 15, what is d - 86c62d?
-86c620
In base 2, what is 100111101 - -100011110100?
101000110001
In base 13, what is -6320696 - 4?
-632069a
In base 2, what is -100101111111 + 11001100001?
-1100011110
In base 6, what is 22452025305 - -4?
22452025313
In base 3, what is -221020010022020 + -10?
-221020010022100
In base 15, what is -3 + d9b40b7?
d9b40b4
In base 3, what is 20001021211120 + -1202?
20001021202211
In base 6, what is -131 + 2542041?
2541510
In base 7, what is 20 - -2110423?
2110443
In base 8, what is 1076054 - 7?
1076045
In base 7, what is -2 - -2125513263?
2125513261
In base 2, what is -100 + -1100001110110111101100?
-1100001110110111110000
In base 8, what is 3156344 + 356?
3156722
In base 13, what is -85c31 - 17a?
-860ab
In base 3, what is -2122211 + -110200200?
-120100111
In base 16, what is -2b + bb280?
bb255
In base 16, what is bc - -73133?
731ef
In base 3, what is -1000022100022 + -12201?
-1000022120000
In base 16, what is 2 + 976068?
97606a
In base 2, what is -101000000111101100101111 - 110?
-101000000111101100110101
In base 4, what is -11320032113 - 111?
-11320032230
In base 10, what is -140242 - 47?
-140289
In base 16, what is 1a22 - -433c?
5d5e
In base 16, what is -459d2 - -2a?
-459a8
In base 15, what is 855 + 4d6?
d3b
In base 13, what is 44a + -20513?
-20096
In base 14, what is -1901 - 78d?
-2290
In base 13, what is -1 + -4c914?
-4c915
In base 6, what is -1 - -44141101?
44141100
In base 2, what is 101100110111011000001 - -101011?
101100110111011101100
In base 9, what is 1405 + 1252081?
1253486
In base 9, what is -5025 - -3131?
-1784
In base 16, what is 932 + 1af68?
1b89a
In base 12, what is -4 - 10293b33?
-10293b37
In base 5, what is -4 + 30023021441?
30023021432
In base 8, what is 141376 - 236?
141140
In base 6, what is 314 - 43415331?
-43415013
In base 4, what is -20232121300200 - 10?
-20232121300210
In base 3, what is 211111121212 - -210001?
211112101220
In base 13, what is -65 - 1212b6?
-12134b
In base 9, what is -5 + 2274437?
2274432
In base 13, what is -ac1 + -420?
-1211
In base 9, what is 235 + -5404?
-5158
In base 10, what is -69 + -11988?
-12057
In base 3, what is -1001020120 - -21202221?
-202110122
In base 3, what is 1102212 + -10120011?
-2010022
In base 8, what is 1153451442 - -6?
1153451450
In base 4, what is 3113010 - -3232222?
13011232
In base 11, what is 5398a65 - 3?
5398a62
In base 7, what is 4413 + -2440?
1643
In base 5, what is -104404432340 + 10?
-104404432330
In base 7, what is 6 + -1630513?
-1630504
In base 4, what is -23012200003 - -3?
-23012200000
In base 8, what is -3 - 32224262?
-32224265
In base 14, what is -ab92 - 1c7a?
-ca2c
In base 8, what is 2 + -5213164?
-5213162
In base 2, what is 110010010000 + -111000011011010?
-110010001001010
In base 15, what is -105cd85 - -2?
-105cd83
In base 10, what is -3234 + -2294?
-5528
In base 11, what is 9674440a - 4?
96744406
In base 2, what is 0 + -1101100101000011100001101?
-1101100101000011100001101
In base 9, what is 1058137 + -17?
1058120
In base 10, what is -558 + 13230?
12672
In base 16, what is 27c - 3f6b?
-3cef
In base 16, what | {
"pile_set_name": "DM Mathematics"
} |
**3 + 6*s**3 - 24*s**3 + 28 - 165*s**2 + 12.
-5*(s + 1)*(s + 4)*(7*s - 2)
Let z(t) be the third derivative of t**6/840 + 43*t**5/84 + 11663*t**4/168 + 11449*t**3/42 + 949*t**2. Factor z(i).
(i + 1)*(i + 107)**2/7
Solve 0 + 1/4*n**4 + 12*n**2 + 9*n + 13/4*n**3 = 0.
-6, -1, 0
Suppose 10*r = 3*r + 273. Suppose 1 = v - 1. Find b such that -r*b + 7*b - 66 + 4*b**2 + 2 - 8*b**v = 0.
-4
Let a(b) be the third derivative of -b**8/1512 - b**7/135 - b**6/36 - 13*b**5/270 - b**4/27 + 919*b**2. Solve a(g) = 0.
-4, -1, 0
Let j(s) = 2*s + 11. Let g be j(-4). Determine z, given that 0*z**3 - 5*z**3 + 4 + 6*z**3 + g*z**4 - 9*z**2 - z**4 - 4*z = 0.
-2, -1, 1/2, 2
Suppose 0 = -8*l + 7*l - 6. Let u(p) = 4*p**2 - 11*p + 16. Let k(z) = -9*z**2 + 23*z - 32. Let r(d) = l*k(d) - 14*u(d). Suppose r(o) = 0. Calculate o.
4
Let r be 5 - ((-52)/12)/(-1). Suppose 2*c - 3*g = 5 - 1, -8 = -4*c - 3*g. Solve 0 + 2/3*l**c + r*l**3 + 0*l = 0.
-1, 0
Let d(m) = -4*m**2 - 267*m - 196. Let u be d(-66). Factor -8/3*c + 8/3*c**3 - 4/3 + 4/3*c**4 + 0*c**u.
4*(c - 1)*(c + 1)**3/3
Let s = 15181/4 - 3795. Suppose 0 + 2*m**2 + 3/4*m**3 - 1/2*m**4 - s*m**5 + m = 0. Calculate m.
-2, -1, 0, 2
Let u = -51 - -62. Let z = u + -43/4. Find v such that -1/4*v + 1/4*v**2 - z*v**4 + 0 + 1/4*v**3 = 0.
-1, 0, 1
Let i(x) be the second derivative of -54*x**7/7 - 1158*x**6/5 - 2096*x**5 - 4168*x**4 - 2720*x**3 - 800*x**2 - 73*x + 2. Find j such that i(j) = 0.
-10, -1, -2/9
Let b(z) = z**3 - 2*z**2 - 3*z + 3. Suppose 4*r + 9 = 3*v, 5*r - 1 + 16 = 5*v. Let n be b(v). What is p in -p**3 + 2*p**3 - 7*p**n + 3*p**3 = 0?
0
Find w, given that -3/7*w**5 - 423/7*w**3 - 30*w**2 + 0*w + 0 - 216/7*w**4 = 0.
-70, -1, 0
Let s(c) be the third derivative of c**6/450 - c**5/75 + c**4/30 + c**3/6 - 16*c**2. Let v(z) be the first derivative of s(z). Suppose v(l) = 0. What is l?
1
Let d be -2*2/12*2/(-8). Let x(k) be the second derivative of 0 + 1/42*k**7 - 1/20*k**5 + 0*k**3 - k - d*k**4 + 1/30*k**6 + 0*k**2. Solve x(t) = 0 for t.
-1, 0, 1
Determine o, given that 45*o**2 + 0 + 0*o + 5/3*o**3 = 0.
-27, 0
Suppose -5*q + 23 = -2. Suppose -q*k**4 + 17*k**2 - 11*k**2 + 3*k**4 + 2*k**3 - 10*k + 4 = 0. Calculate k.
-2, 1
Let w(u) be the second derivative of 3*u**5/80 + u**4/16 - u**3/2 - 3*u**2/2 - 21*u - 7. Solve w(h) = 0.
-2, -1, 2
Suppose 88/5*o - 12*o**2 - 48/5 + 18/5*o**3 - 2/5*o**4 = 0. What is o?
2, 3
Let s = 30 + -34. Let c(x) = 8*x**3 - 10*x**2 + 8*x - 2. Let u(w) = -15*w**3 + 20*w**2 - 16*w + 4. Let v(g) = s*u(g) - 7*c(g). Factor v(n).
2*(n - 1)**2*(2*n - 1)
Let k = -66 + 261. Factor k*v**3 - 210*v**4 - 84*v**2 + 12*v + 75*v**5 - 26*v**3 + 38*v**3.
3*v*(v - 1)**2*(5*v - 2)**2
Factor 83*w**2 - 2*w - 43*w**2 + 2*w - 44*w**2 + 2*w**4 + 2*w**3.
2*w**2*(w - 1)*(w + 2)
Let w = -932/1105 - 15366236/7735. Let b = 1992 + w. Factor -b + 16/7*v - 2/7*v**2.
-2*(v - 4)**2/7
Solve -10/11*n**2 - 2/11*n**3 + 0 - 12/11*n = 0.
-3, -2, 0
Let i(c) be the second derivative of 3/40*c**5 - 3/2*c**2 + 5*c + 0 - 9/8*c**4 - 9/4*c**3 + 3/20*c**6. Suppose i(x) = 0. What is x?
-1, -1/3, 2
Let l(x) be the first derivative of -3*x**5/10 - 9*x**4/8 - x**3 - 76. Suppose l(a) = 0. Calculate a.
-2, -1, 0
Let p = 324 - 1295/4. Suppose 1/4*x + 1/4*x**2 - p - 1/4*x**3 = 0. What is x?
-1, 1
Let 1/8*s**4 + 0 + 15/8*s**3 + 17/8*s - 33/8*s**2 = 0. What is s?
-17, 0, 1
Let l(w) = 4*w**4 - 10*w**3 - 8*w**2 + 54*w + 36. Let k be 4/10 - (-56)/(-40). Let s(j) = -j**3 - j. Let z(m) = k*l(m) - 6*s(m). Determine o so that z(o) = 0.
-1, 3
Let d(o) be the third derivative of 0*o + 0 + 0*o**3 - 3*o**2 + 0*o**5 + 1/210*o**6 - 1/42*o**4. Factor d(b).
4*b*(b - 1)*(b + 1)/7
Let m(r) be the third derivative of r**5/60 + r**4/24 - r**3/6 + 19*r**2. Let p(c) = -c**3 + 7*c**2 + 7*c - 7. Let j(s) = -35*m(s) + 5*p(s). Factor j(a).
-5*a**3
Suppose -o + 7 = 2*y + 1, -3*o = -4*y + 2. Factor 1 + 7*s**2 + 6*s**2 - 16*s + 3 - s**o.
4*(s - 1)*(3*s - 1)
Let p(u) = u - 2. Let f be p(10). Let g be (27/24)/(12/f). Suppose -g - 1/2*r + 1/4*r**2 = 0. What is r?
-1, 3
Let p(j) be the first derivative of j**6/120 + j**5/20 + j**4/8 - 4*j**3/3 - 12. Let h(q) be the third derivative of p(q). Factor h(z).
3*(z + 1)**2
Suppose 5*y + 10 = 45. Let i(w) be the second derivative of 1/15*w**6 + 4/3*w**3 - 4*w**2 + 0 - 2/5*w**5 + 1/2*w**4 + y*w. Factor i(c).
2*(c - 2)**2*(c - 1)*(c + 1)
Determine b so that -13/6*b**2 - 2*b + 0 - 1/6*b**3 = 0.
-12, -1, 0
Let c(y) = 3*y**3 + 2*y**2 - 3*y. Let x(z) = 7*z**3 + 5*z**2 - 6*z + 1. Let l(s) = -10*c(s) + 4*x(s). Factor l(o).
-2*(o - 2)*(o + 1)**2
Let v(b) be the second derivative of 2*b**2 + 0 - b**3 + 28*b + 1/6*b**4. What is h in v(h) = 0?
1, 2
Let n(h) be the second derivative of -h**7/21 - 14*h**6/15 - 16*h**5/5 + 64*h**4/3 + 7*h + 6. Factor n(y).
-2*y**2*(y - 2)*(y + 8)**2
Determine x so that 2/5*x**3 + 3/5*x**2 - 18/5*x - 1/10*x**4 + 27/10 = 0.
-3, 1, 3
Let y(f) = -3*f**2 - 10*f + 1. Let w be (-66)/48 + 3/8. Let a(z) = -z + 1. Let o(p) = w*y(p) + a(p). Determine g, given that o(g) = 0.
-3, 0
Suppose 0 = 5*q - 2*q - 15. Let h(i) = 12*i**2 - 22*i - 12. Let n(y) = -11*y**2 + 21*y + 11. Let j(l) = q*h(l) + 6*n(l). Factor j(d).
-2*(d - 3)*(3*d + 1)
Let u = -1092 + 3278/3. Let x(q) be the first derivative of 5/3*q**2 - 4/3*q - u*q**3 - 1. Suppose x(h) = 0. Calculate h.
2/3, 1
Let g(s) = -s**2 + 26*s - 163. Let l be g(11). Factor -6/5 + 3/5*c**l + 3/5*c.
3*(c - 1)*(c + 2)/5
Let q(a) be the first derivative of 0*a**4 + 13 + 0*a**2 - 1/15*a**5 + 0*a + 0*a**3. Let q(f) = 0. What is f?
0
Let o(v) be the first derivative of -7*v**3/6 - 15*v**2/2 - 4*v - 104. Suppose o(u) = 0. Calculate u.
-4, -2/7
Let p(k) = -k**2 + 9*k - 6. Let n be p(1). Factor 888*v - 2*v**3 - 888*v + 0*v**3 + v**n.
-v**2*(2*v - 1)
Factor 119*p**2 - 4*p**3 - 4232 + 268*p - 796*p + 57*p**2 - 1220*p.
-4*(p - 23)**2*(p + 2)
Let t(m) = 4*m**3 - 35*m**2 + 137*m + 5. Let l be t(5). Determine k, given that 12 - 102*k + 375/2*k**4 + l*k**2 - 825/2*k**3 = 0.
2/5, 1
Let z(i) = -2*i**3 + 84*i**2 + 177*i - 44. Let y be z(44). Let -6/7*o**2 - 4/7*o**3 + 2/7 + y*o = 0. Calculate o.
-1, 1/2
Suppose -t = 3 - 6. Suppose -a = -2*m + a, t*m - 2*a = 3. Determine g, given that -3*g**m - 5*g**2 + 3*g**3 + g**3 + g + 3*g**3 = 0.
0, 1/4, 1
Let i(h) = 34*h - 12. Let y(n) = n**2 + 2*n. Let w(j) = 2*i(j) + 18*y(j). Determine k, given that w(k) = 0.
-6, 2/9
Let b = 55786/5 - 11053. Let j = 106 - b. Factor 3/5*p + 1/5*p**3 + j - p**2.
(p - 3)**2*(p + 1)/5
Let r be (-1)/28*-2*(4 + -2). Find q such that 12/7*q - r*q**2 - 36/7 = 0.
6
Let x = 22 - 13. Find i, given that -10*i - 64 - 11*i**3 + i**4 - x*i + i + 2*i + 36*i**2 = 0.
-1, 4
Let k(q) be the second derivative of -q**5/20 - 61*q**4/12 + 125*q**3/6 - 63*q**2/2 + 7*q + 14. Factor k(d).
-(d - 1)**2*(d + 63)
Factor -24*z - 6*z - 2*z**3 + 21*z**2 + 12 - 5*z**2 + 4*z.
-2*(z - 6)*(z - 1)**2
Let h(f) be the second derivative of f**7/56 + 3*f**6/20 + 3*f**5/10 - f**4/8 - 9*f**3/8 - 3*f**2/2 - 48*f - 2. Find a, given that h(a) = 0.
-4, -1, 1
Let c(w) = 498*w**2 - 273*w - 159. Let a(k) = -31*k**2 + 17*k + 10. Let n(b) = 33*a(b) + 2*c(b). Factor n(l).
-3*(l - 1)*(9*l + 4)
Let u(x) be the third derivative of 1/48*x**6 - 10*x**2 + 0 - 5/48*x**4 + 0*x - 5/336*x**7 + 7/160*x**5 + 1/12*x**3. Suppose u(y) = 0. Calculate y.
-1, 2/5, 1
Factor 388*b**2 - 391*b**2 - 467 - 167*b - 187 - 133*b + 66.
-3*(b + 2)*(b + 98)
Factor -11*n + 5*n**2 - 3*n**2 + n**2 - n - 44 + 29.
3*(n - 5)*(n + 1)
Let q(r) be the first derivative of -2/25*r**5 + 0*r**4 + 0*r**2 + 0*r**3 - 1/15*r**6 + 0*r - 2. Solve q(v) = 0.
-1, 0
Suppose 4*w + w - 137 = -4*r, -2*w = -4*r + 102. Suppose -r = 3*a - 7*a. Factor 3*t**4 - a*t**4 - 5*t**4 + 6*t**3 + 14*t**5 - 11*t**5.
3*t**3*(t - 2)*(t - 1)
Let d(p) be the second derivative of -p**4/54 + 5*p**3/9 + 16*p**2/9 + p + 133. Determine y so that d(y) = 0.
-1, 16
Let p = 21 + -6. Factor p*a + 7*a - 6*a + 29*a**2 - 25*a**2.
4*a*(a + 4)
Let n(y) be the third derivative of -7*y**6/120 + 11*y**5/60 + 7*y**4/24 - 11*y**3/6 - 4*y**2 - 2*y. Factor n(i).
-(i - 1)*(i + 1)*(7*i - 11)
Let f(k) be the second derivative of -k**4/6 + 2*k**3 + 3*k + 6. Suppose f(y) = 0. Calculate y.
0, 6
Factor -24*h**4 - 3*h**5 - 280*h**3 + 0*h**5 + 259*h**3.
-3*h**3*(h + 1)*(h + 7)
Let z(t) be the second derivative | {
"pile_set_name": "DM Mathematics"
} |
+ 2*j + 85 = q, j + 1 = -b + 18. Solve 0 = -4*l + 2*y + 14, l + b = -x*l - 4*y for l.
1
Let n(o) = -o**3 - o**2 + 14. Let j be n(0). Solve 2*u - 2*y = -j, y = 5*u + 4*y + 3 for u.
-3
Suppose 0 = -v + 2 + 1, -2*v - 3 = -3*r. Suppose -1 + 25 = r*u. Solve 0 = w, 2*a + w + u = 4*w for a.
-4
Suppose 3*n - 4 = 5*l - 0, -5*n + 10 = -5*l. Let k = l - 0. Solve b = 2, -o - k = b - 0 for o.
-3
Let u = 111 - 32. Suppose -5*f + s = -172, 2*s + s - u = -2*f. Solve -2*d = d - 4*l - f, -4*d + 3*l + 35 = 0 for d.
5
Suppose -5*u + 4*y + 71 = 0, -u + 3*y + 31 = -2*y. Solve -2*w - 2*w = -m, 4*m - 5*w = -u for m.
-4
Let i(d) = -2*d - 6. Let n be i(-5). Suppose 8 = 2*l, a - l + 0 = -n. Suppose 14 - 2 = -v - 5*r, a = -v - 3*r - 2. Solve 3 + v = 4*g, 0 = -5*q + 2*g - 18 for q.
-2
Let a(t) = -t**2 - 12*t + 4. Let w be a(-12). Solve 2*s - 8 = w*o, s - 2*s = o + 5 for o.
-3
Let x(s) = s**2 + 9*s + 2. Let d be x(-9). Solve 7*i = 4*i + 2*c + 4, 2*c = d*i for i.
4
Let x be 27/6 - 1/(-2). Suppose -4*m = x*a - 9 - 28, 5*m - 3*a - 37 = 0. Let p = 59 + -56. Solve q - l - p = 0, m*l + 27 = -q + 3*l for q.
-2
Suppose -3 = 2*a - 5*a. Let s = 1 + 1. Let i = a + s. Solve 0 = u - 4*z - 15 + 5, 3*u - i*z - 3 = 0 for u.
-2
Suppose 2*z + 2*x = 5*z - 99, x - 33 = -z. Let w = -18 + z. Solve 0*t = -3*t - 3*d + w, 4*t - 4*d = 12 for t.
4
Let u(y) = -25 + 50 - 4*y**2 - y**3 - 3*y - 22. Let p be u(-3). Solve -1 - p = -2*k + 3*a, -2*a = 5*k - 10 for k.
2
Suppose 8 = -4*d, 0 = -3*j - 3*d + 6*d + 12. Let p be (6/9)/(j/15). Suppose 3*f - p*n = -13, n + n + 6 = 4*f. Solve q + 23 = f*i, 3 = 3*q - 4*q for i.
5
Let p = -166 + 283. Let v = 68 - p. Let o be v/(-14)*(-8)/(-14). Solve -2*i = 8, -o*q + 0*i - 4*i = 6 for q.
5
Suppose 10 = -q + 3*q. Suppose -p + 5 + 3 = -5*n, n - 8 = q*p. Let t = 1 - n. Solve t = -a, 0 = -3*f + f + 5*a + 13 for f.
-1
Suppose 4 = -h + 2*y, 0 = -h - h + y + 1. Solve 4*w - 3*z - 20 = 0, h*w - 10 + 2 = z for w.
2
Let t be (-8)/36 - 2/(-9). Suppose -3*p + p + 4 = t. Let g = p - 0. Solve -g = 2*k + 3*k - b, -2*k + 6 = 3*b for k.
0
Let o = 36 - 21. Suppose -4*c + o = c. Solve -2*i = -r + c*r - 12, -2*r + 16 = 3*i for r.
2
Let s be (-8)/(-12) + 43/3. Suppose x - 1 = 3. Suppose -h - s = -x*h. Solve l + 3*m = -14, 3*l - m + h*m = -22 for l.
-2
Suppose 10*k = 5*k. Suppose p - 15 = -k*p. Suppose -5*l - x = -p, -3*x = -l - l + 6. Solve -4*f - 2*a = 5 + l, -f - 2*a = -1 for f.
-3
Suppose -6*d = -2*d - 32. Solve 2*p + 16 = 4*q, -q - 3*p + d = q for q.
4
Let s be 3 + 3*3/9. Suppose 0 = 3*y + 15, -2*d - d - y = -s. Solve -5*q - 5*p = 25, 2*q + 8 + 2 = -d*p for q.
-5
Let c(p) = -p**3 + 9*p**2 - 10*p + 16. Let d be c(8). Solve d = 4*z + z + x, -2*z - x = 0 for z.
0
Let i = 11 + -5. Suppose t - i*t + 25 = 0. Suppose 13 - 3 = t*y. Solve 0 = -y*l - 3*x + 5 + 4, 5*x = -2*l + 11 for l.
3
Let m = -1417 - -2348. Let c be m/(-42) + 1/6. Let r = c - -32. Solve l - 5 = h, 0*l - 2*l = -h - r for l.
5
Suppose 3*h = -10 - 2. Let n be (-18)/h*(-16)/(-24). Solve -4*b + 3 = -p - n, 2*p + 2*b = 8 for p.
2
Let s(i) = i**3 - 11*i**2 + 11*i - 9. Suppose -9 = -4*n - 1, h - 16 = -3*n. Let m be s(h). Solve 22 = -5*q - 2*j, 0 = -0*q - q + 3*j - m for q.
-4
Let a = 53 - 49. Solve -4*j + 4*k - 6*k - 14 = 0, j - a*k = -8 for j.
-4
Suppose h - 4 = 7*z - 2*z, -4*h + 4*z + 16 = 0. Suppose 29 = h*c + 9. Suppose 0*j + c*j = 20. Solve -5*f = 3*b + 3, 5*b + 5 = -f + j*f for f.
0
Let l = -12 + 16. Suppose -l = -n + 2. Solve -d + 4 = 0, u = -4*d + 15 + n for u.
5
Suppose 3*v = s + 13, -3*v = 5*s - 21 - 4. Solve 2*i + 3 = -4*a + 21, 22 = 2*i + v*a for i.
1
Let t(a) = 5*a**2. Let y be t(1). Suppose -2 = y*b + j + 17, -2*b - j = 10. Let r be 1 - b/((-6)/(-8)). Solve 5*d = 4*k + k - r, 2*d = -8 for k.
-3
Let h(t) = t - 2. Let g be h(5). Suppose g*m = 3*q + 9, 4*m = -4*q - 3 + 23. Solve -2*b - 8 = -3*y - m, y - b = 0 for y.
4
Let t be -6 - 0*1/3. Let l(m) = m**3 + 5*m**2 - 7*m - 2. Let y be l(t). Solve -3*a + 3*g - 2*g = 2, y = 4*a + 2*g for a.
0
Suppose 5*g + q - 11 = -0*g, q + 7 = 4*g. Solve 3*t + g = 4*p + 6, 5*t = 3*p + 3 for t.
0
Let r = -2 + 12. Let o be 10/(((-40)/(-12))/(-5)). Let k be 14/4 + o/10. Solve 2*z + k = q, z - r = -z - 2*q for z.
1
Let g = -29 + 47. Suppose 20*i = g*i + 6. Suppose -2 = 4*z - 22. Solve 0 = -v - i*o - 18, 2*o = z*v - 2*o - 5 for v.
-3
Let k be 2/(-6)*(2 + 7). Let c be 2*(-1 + 3) - k. Solve -y + 7 = -6*q + 2*q, 3*y + c = -2*q for q.
-2
Let s(w) = -7*w - 2. Let o be s(-1). Solve f + 3*f = o*i - 28, -3*i + 14 = -f for f.
-2
Let a = 40 + -13. Solve -2*y = -3*k - 5*y - a, 4*k + 2*y = -28 for k.
-5
Let d = -49 + 69. Solve 0 = h - 3*h + 8, 4*h = -r + d for r.
4
Let n be -2 - -4*2 - (2 - 1). Solve -2*z = 3*i - 17, -4*z = -n*z + 4*i - 19 for z.
1
Let j(z) = z + 7. Let s be j(-5). Let b be (-3)/(-3) - (3 + -5). Solve b*q = 4*p + 2 + 1, 6 = -4*q + s*p for q.
-3
Let u = 29 + -24. Solve u*d + 40 = -4*y, -y + d - 4 = -3 for y.
-5
Let s be (9 + -3 - 2)*2. Suppose 2*k - 2*t = 4, k = -s*t + 3*t + 20. Solve 3*g - d = d - 10, -k*g - 16 = -3*d for g.
-2
Suppose 0*x = -5*p + 2*x + 36, -5*p - x + 42 = 0. Solve g + 23 - p = 5*m, 4*m = g + 13 for g.
-5
Let g(r) = 2*r - 11. Let h be g(8). Suppose q + 7 = 2*p + 1, h*p - 37 = -3*q. Solve -p*o = 4*z + 8, -5*o = 4*z + z + 10 for o.
0
Suppose 4*x - 99 - 93 = 0. Suppose -5*a = -52 - x. Solve -4*m = -4*i + 3*i + 9, 0 = 4*i - a for m.
-1
Let d = 24 - 14. Suppose -5*z = -0*z - 4*g + 15, -d = 5*z - 3*g. Let r = 1 - z. Solve -p - 3*l + l = 9, r = l + 3 for p.
-3
Suppose -5 = -2*p + 5*p + 5*m, -4*p = 4*m - 4. Suppose -q = 3, -2*o + 2 - p = q. Suppose -6*c = -c. Solve y + 1 = -o*y + g, c = -2*g for y.
-1
Let h = -16 + 23. Suppose a - h - 1 = 0. Solve 4*y - 15 = 3*v, -5*y + 2*v = a - 18 for y.
0
Let b = -5 - -3. Let c = b + 7. Solve 0*g + w + 3 = -5*g, -10 = -c*w for g.
-1
Let f = -20 + 22. Solve -4*h = 2*m - f, m - 5*h - 2 = -1 for m.
1
Suppose -h - 8 = -0*h. Let x = -3 - h. Solve 0 = 2*b + 3*l - 11, -x*b - l + 10 = 3*l for b.
-2
Let l = -42 + 44. Solve -5*z - 3*n + 10 = 0, z + 0*n + l*n = 2 for z.
2
Let q = -6 + -3. Let y(v) = v + 12. Let p be y(q). Solve -3*g = -4*x + 10, p*g + 8 = 2*x - 0*x for g.
-2
Let v = -2 - -11. Let c = v - 5. Let z be (-1)/5 - (-80)/25. Solve z*u + 4*r = -1, c*u - 11 = u - r for u.
5
Let v = 70 - 55. Solve -20 = -2*y - 4*c, -2*y + 0*c = 3*c - v for y.
0
Let b = -28 - -49. Suppose b = 4*a + 5. Solve 2*z + 5 = n, 3*n - z - a*z - 15 = 0 for n.
5
Suppose 2 = 2*c - 2. Solve -j - 7 = -3*a - 1, -2*a - c*j + 12 = 0 for a.
3
Suppose -2*l = q + 2, -q + 4*l = -9 - 7. Solve -4*z = q*s + 12, 2*s - 4*z + z - 14 = 0 for s.
1
Let d(f) = 2*f - 1. Let z be d(2). Suppose -u + 37 = -5*b, 185 = 5*u + 2*b + b. Let k = u + -22. Solve 2*v - 24 = 4*t, -z*v + t + k = 2*v for v.
2
Let r(z) = 2*z - 13. Let p be r(7). Solve 4*s - 4*y = p + 3, -5*s - y - 7 = 0 for s.
-1
Suppose -12 = -4*r + 12. Suppose -3*h - 2*q - 2 = 0, r = 3*h - 2*q - 8. Solve 2*y + 6*d + 33 = d, 3*y - h*d + 2 = 0 for y.
-4
Suppose 0*p + 2*p - 4 = 0. Solve 4 + 4 = 2*z, w + p*z - 9 = 0 for w.
1
Let l be -8*((-3)/2 + 1). Solve -2*g + 4 = -4*k, 1 = -2*g - l*k - 3 for g.
0
Let v = 10 + -7. Suppose -y + 20 = v*y. Solve -27 = -4*p - 5*q, 12 = y*p - 3*q + 2*q for p.
3
Let f be 1/2 - 2*(-28)/16. Solve -5*x + 9 = -2*o - 1, 16 = f*x for o.
5
Suppose 5*g - 12 = 2*g. Suppose 0 = 4*u, 0 = -5*k - 2*u - u. Suppose 24 = -0*v + 3*v. Solve k = -n - s - v, 0 = 3*n + 2*n - g*s + 13 for n.
-5
Let p(a) = -2*a + 5. Let y be p(4). Let c be (-2)/(1*y/6). Solve -5*i - 1 = c*u, u = -3*i - 4*u + 2 for i.
-1
Suppose -g - 4*v = 11, -6*g = -2*g + 5*v. Solve g*c - 7 = 2*c - i, -3*c + 3*i + 27 = 0 for c.
4
Let x be (-52)/(-91) - (-76)/14. Solve -r - 5*d + 20 = 0, -x*d = -3*r - 2*d - 16 for r.
0
Let x be 19/(-57) + (-14)/(-6). Solve 2*q = -x*o, 2*q - q + 6 = o for q.
-3
Let h(u) = 2*u. Let j be h(-2). Let v be j/6 + (-34)/(-6). Solve 3*d + 3 = 5*m, 0*d - v*d - 5 = -4*m for m.
0
Let j = 19 + 32. Suppose 11 - j = -5*f. Solve 3*r = f - 2, -2*r + 16 = -4*x for x.
-3
Let x(i) = 15*i**3 - 2*i**2 + i. Let c be x(1). Let r = c + -12. Solve 3*n + 14 = -4*p, -r*p = -3*n - 1 - 1 for p.
-2
Let o = -47 + 50. Solve -3*n + o = -4*u, -2*n = -4*n - u + 13 for n.
5
Let u(c) = -5*c + 3. Let m(t) = 5*t - 2. Let p(v) = -5*m(v) - 4*u(v). Let q be p(-1). Solve -b + 2 = | {
"pile_set_name": "DM Mathematics"
} |
= j - h. Round o to six dps.
-0.000002
Let p = -2049 - -796. Let r = 1252.9369 + p. Let b = r + 0.054. What is b rounded to three decimal places?
-0.009
Let t = 267.278 + -265. Let q = t + -2.3. Let y = -0.0171 - q. Round y to three dps.
0.005
Let b(r) = 2*r + 810. Let m be b(0). What is m rounded to the nearest 100?
800
Let d = -3.99 - 0.01. Let i = d + 2. Let j = 2.0000002 + i. What is j rounded to 6 decimal places?
0
Suppose 3*q - 26 = 5*i - 610, -15 = 3*i. Let b be q*(1 - (0 - -2)). Let x = b - -4297. Round x to the nearest one thousand.
5000
Let d = 0.085 + -0.0889. What is d rounded to 3 dps?
-0.004
Let z = -6.76 - -5.8. Let p = 0.04 - -0.1. Let c = p - z. Round c to the nearest integer.
1
Let c = -872354.02 - 17238.98. Let z = c + 889598.00003. Let t = z - 5. Round t to 4 decimal places.
0
Suppose -68 - 27 = 5*i. What is i rounded to the nearest ten?
-20
Let s = 3 + -1. Suppose s*r - 32172 = -8524. Suppose 51824 - r = -w. What is w rounded to the nearest 10000?
-40000
Let p = 10.1556889 - 0.1549189. Let c = -35 + 25. Let k = c + p. Round k to 4 dps.
0.0008
Let i = -19.9 - -39.6. What is i rounded to the nearest integer?
20
Let b be -3 + 44010/2 - 2. Round b to the nearest ten thousand.
20000
Let v = -0.14 + 0.1435. What is v rounded to 3 decimal places?
0.004
Let h = 0.34 - 0.34017. What is h rounded to four decimal places?
-0.0002
Suppose -5*f = -2*f. Suppose f = 5*n + 50900 - 295900. What is n rounded to the nearest ten thousand?
50000
Let z = 7.7 + -7. Let q = z + 2.3. Let b = q + -2.99986. Round b to four dps.
0.0001
Let p = 6.87 - 6.86477. Round p to 4 decimal places.
0.0052
Suppose 6 = -3*h, 0 = 4*d - d + 3*h + 98276205. Let i = 4058733 + d. What is i rounded to the nearest 1000000?
-29000000
Let v = -25036 - -12274. Let z = v + 8461. Let d be 2/(2*-1) - z. What is d rounded to the nearest one thousand?
4000
Let z = 1 + 3. Let r be 2/z - (-16796)/8. What is r rounded to the nearest 1000?
2000
Let r(u) = -780003*u - 15. Let l be r(-5). What is l rounded to the nearest 1000000?
4000000
Let y = 2.236 - 2.2. Let u = y - 0.04. Let v = u + 0.00546. Round v to four dps.
0.0015
Let p = 33 - 28.3. Round p to the nearest integer.
5
Let w = 23.0000013 + -23. Round w to 6 decimal places.
0.000001
Let l = 0.4 - -4.6. Let s = -5.000003 + l. Round s to six decimal places.
-0.000003
Let u = 2259 + -682. Let o be (-12)/4 + 0 - 744. Let l = o + u. Round l to the nearest one hundred.
800
Suppose -f + 3*b - 2167 = 4727, 0 = b + 2. What is f rounded to the nearest one thousand?
-7000
Suppose 2*r - 20 = -3*r. Suppose 8*p + r*j = 3*p - 501, -5*p - 5*j - 505 = 0. What is p rounded to the nearest ten?
-100
Let a = -1.94 + -0.06. Let y = a + -1. Let d = y + 2.9999996. What is d rounded to 7 dps?
-0.0000004
Let x = 163.19 - 164. What is x rounded to 1 dp?
-0.8
Let b = -8185690648 + 8185686424.970021. Let j = 4223 + b. Let z = 0.03 + j. What is z rounded to 5 decimal places?
0.00002
Let h = -110804076.207214349 + -1246806.892785721. Let k = h + 112050884. Let p = k - 0.9. Round p to 7 dps.
-0.0000001
Let f = 18.99999995 + -19. What is f rounded to seven dps?
-0.0000001
Suppose 4*h + 9 - 93 = -4*n, -2*h + 4*n + 42 = 0. Let c(b) = 17*b - 2. Let j be c(2). Let y = j + h. What is y rounded to the nearest ten?
50
Let x be 2/(-2*2/(-802)). Let j = x - 31. What is j rounded to the nearest one hundred?
400
Let w = 68.0319865567 + -0.0319868667. Let z = w + -68. Round z to seven decimal places.
-0.0000003
Let r(s) = -70001*s**3 - 3*s**2 + 1. Let g be r(-3). Suppose -4 = -4*v, 0*v = -3*q - v + g. Round q to the nearest one hundred thousand.
600000
Let g = 5.669 + -5.5. What is g rounded to 2 decimal places?
0.17
Let s be 0*(0 + (-1)/4). Suppose -7*d + 4*d - 1560000 = s. What is d rounded to the nearest 100000?
-500000
Let v = 7.2 - 4.9. Let r = -3.23366 - -0.933621. Let m = v + r. What is m rounded to five decimal places?
-0.00004
Let v = 149.08 + -152. Let i = 3 + v. Let w = i - 0.08000003. What is w rounded to seven decimal places?
0
Let l(b) = 686638*b - 7. Let k be l(9). Let z = -14779735 + k. Round z to the nearest one million.
-9000000
Let h = 13.00000012 - 13. What is h rounded to seven decimal places?
0.0000001
Suppose -2*m = -6*m - 1018228. Let v = m - -1204557. What is v rounded to the nearest 100000?
1000000
Let z = -0.59 + 0.589908. What is z rounded to five dps?
-0.00009
Let i = 0.17 - 0.45. Let d = i + 202.28. Let q = d + -201.99907. Round q to four dps.
0.0009
Let w(i) = -37*i + 5. Let t be w(5). Let a be t/((-6)/2)*-10. What is a rounded to the nearest 1000?
-1000
Let c = -7.3 + 7.238. Round c to 2 dps.
-0.06
Let n = -14.46 + 13.759. Let t = 0.9 + n. Let r = t - 0.2. Round r to three decimal places.
-0.001
Let a = 355.12 - 346. Let h = a + -9. Round h to one dp.
0.1
Let t = 0.78 + -0.31. Round t to one dp.
0.5
Suppose -5*y + 3*r + 513838 = -31162, 0 = -3*r. Round y to the nearest ten thousand.
110000
Let s = -0.4 + 0.39. Let b = 0.252 + s. Let y = b - 0.2420109. Round y to six decimal places.
-0.000011
Suppose -3*v - 267 = -4*v. Suppose v = -4*k + 27. Let z = k - 23. What is z rounded to the nearest ten?
-80
Let t = 104 - 33. Let g = t + -43. Let x = g + -28.042. Round x to 2 decimal places.
-0.04
Let c = -0.142 + 68.142. Let z = c - 68.0000058. Round z to six decimal places.
-0.000006
Suppose 0 = 4*j + k - 1011, j - 4*k + 755 = 4*j. Round j to the nearest 10.
250
Let m = -0.105 + 0.10598. What is m rounded to four decimal places?
0.001
Let z(f) = -f**2 - 9*f - 5. Let l be z(-8). Suppose l*c = -c - 12. Let x be (-215)/c*(-1 + -5). What is x rounded to the nearest 100?
-400
Let i = -0.1701642562 + 0.0327334676. Let q = i + 10.1374308986. Let j = 10 - q. What is j rounded to seven dps?
-0.0000001
Let y = 0.02 - -11.98. Let u = y + -11.99991. Round u to five decimal places.
0.00009
Suppose 4*o + 2*a = 2*o - 498000, 3*a = -o - 249000. Round o to the nearest 100000.
-200000
Let m = -3.4 + 3. Let z = m + 0.38. Let y = -0.0224 - z. What is y rounded to three dps?
-0.002
Suppose 5*l + 5*q = 940, l + 3*q = 132 + 66. Let m = -127 + l. Round m to the nearest ten.
60
Let u(l) = 2717*l**2 + 9*l + 4. Let p(w) = 8151*w**2 + 27*w + 12. Let s(c) = 4*p(c) - 11*u(c). Let i be s(-9). Round i to the nearest 10000.
220000
Let v be ((-320)/(-6))/((-6)/832500). What is v rounded to the nearest 1000000?
-7000000
Let z = 14101 + -14100.59545. Let t = -30.61645 - z. Let h = 31 + t. Round h to 2 dps.
-0.02
Suppose -78267 = 2*g + 169209. Let q = g - 126262. Round q to the nearest one hundred thousand.
-300000
Let t = 167.1005 + -167. Let l = 3 - 2.9. Let k = l - t. What is k rounded to four decimal places?
-0.0005
Let o = -93.00000225 + 93. What is o rounded to seven decimal places?
-0.0000023
Let r = 0.03 - 0.29. What is r rounded to 1 decimal place?
-0.3
Let p = -10 - -17. Suppose -4*c - 3*v + v - 18 = 0, -3*v - p = 2*c. Let t(m) = m**3 + 6*m**2 + 4*m. Let s be t(c). Round s to the nearest ten.
10
Let m = 2.150541 - 2.15. Round m to 4 decimal places.
0.0005
Suppose 2*l = -l - 4*j + 34943, -3*j = 4*l - 46593. Let f = l - 3951. Let w = f - 11798. Round w to the nearest one thousand.
-4000
Let l = 1.59 + 0.51. Let b = l + -34.1. Let o = b - -31.9937. What is o rounded to three decimal places?
-0.006
Suppose 5*s + 1 = 16. Suppose -s = x - u, 2*x = 6*x - 2*u + 2. Let t be ((-3)/x)/((-1)/(-9400000)). Round t to the nearest one million.
-14000000
Let c = -27336.44 - -27355.38117. Let w = c - 116.94008. Let r = w + 98. What is r rounded to 4 decimal places?
0.0011
Let i be -1*(-4 + 1) - 0. Let q(n) = -1500000*n. Let g be q(i). What is g rounded to the nearest 1000000?
-5000000
Let l = 148 + -126.7. Round l to the nearest 10.
20
Let u = 0.2 - 0.5. Let k = u + 0. Let v = k - -0.2948. Round v to three dps.
-0.005
Suppose -12554036 + 3654036 = 5*q. What is q rounded to the nearest 100000?
-1800000
Let y = 42 + -16. Let t = -29.4 + y. Round t to 0 decimal places.
-3
Let d = -0.095 - -0.095047. What is d rounded to five decimal places?
0.00005
Let v be (4 + -1)*8/(-6). Let g(b) = -31250*b**3. Let q be g(v). What is q rounded to the nearest one million?
2000000
Suppose 5*r - 3*r = 4. Let i be 92396/12 - r/(-6). Round i to the nearest one thousand.
8000
Let m(w) = -w**2 + 10100. Let i be 3 | {
"pile_set_name": "DM Mathematics"
} |
he nearest to 1 in -0.2, -1/4, -10.8, 0.0124?
0.0124
What is the closest to 1 in -275, -2, 0.081?
0.081
What is the nearest to 5 in -0.3, -2, -2/5, -1002?
-0.3
What is the nearest to -6 in 2, 1.757, 1/4, 3?
1/4
Which is the nearest to -0.2? (a) 18 (b) -1/4 (c) 1/3 (d) 60 (e) 0.3
b
Which is the nearest to 2/7? (a) -23 (b) -0.05 (c) -2/3 (d) -9
b
Which is the nearest to 0? (a) 2 (b) 78 (c) 3 (d) 0.3
d
Which is the nearest to -1/3? (a) -1/4 (b) -1/2 (c) -32/13 (d) 0.1 (e) 3/5
a
Which is the nearest to 96? (a) 3 (b) 4 (c) 0.7
b
What is the nearest to -1 in -2/9, 0.2, -6369/7, 2/11?
-2/9
Which is the closest to -10? (a) -1/4 (b) -0.1 (c) -0.56 (d) 2
c
What is the nearest to -0.01 in -0.1, 10, -0.61, -0.3?
-0.1
What is the nearest to -5 in -4346, -0.02, 5?
-0.02
What is the nearest to 4/1709 in 2, -0.4, 1.2, -1/2?
-0.4
Which is the nearest to -3? (a) -1/8 (b) 0.3 (c) 13/2
a
What is the nearest to -2/433 in 2/7, -1/3, 1.2?
2/7
What is the nearest to -3 in 0, 1, -3, -20757?
-3
What is the nearest to -0.265 in 0.1, 17, -2, -1/3, 2/9?
-1/3
What is the closest to -0.1 in 0.2, -480, 112, -11?
0.2
Which is the nearest to -114? (a) 2/7 (b) 0.3 (c) 5 (d) 3.1
a
Which is the nearest to 6? (a) 89 (b) 1.47 (c) -3
b
Which is the closest to 1? (a) 286 (b) 103 (c) 1 (d) 2 (e) 5
c
What is the closest to -2/1097 in 2, -2/7, 1/3, 3, -6/11?
-2/7
Which is the nearest to 2/7? (a) -4 (b) 1/10 (c) -3 (d) -3120
b
What is the closest to 2/7 in -0.5, -17/3, 45, 8?
-0.5
Which is the nearest to 2? (a) 43 (b) 2 (c) 3
b
What is the nearest to 1 in 3/8, 0.35, 5.8?
3/8
What is the closest to 5.8 in 2/5, 54, 11?
11
Which is the nearest to -3/7? (a) -8/31 (b) 0.362 (c) 0.3
a
Which is the closest to 0.08? (a) 1/8 (b) 83/20 (c) 18 (d) -0.4 (e) 0
a
What is the closest to -4 in 4, 0.4, -37?
0.4
Which is the closest to 49? (a) 3 (b) 2/17 (c) -1/5 (d) 0.04 (e) -8
a
Which is the closest to 1? (a) -27 (b) 24 (c) -0.1 (d) -733
c
What is the closest to 0.037 in -25, -1.1, -1, -5, 3?
-1
What is the nearest to -4 in -21, -1.02, 3, 0.12?
-1.02
Which is the nearest to 0? (a) 3 (b) -1/2 (c) 0.25 (d) -0.129 (e) -100
d
What is the closest to -53 in 15/13, 0, 4/5?
0
What is the nearest to 0.5 in -3/4, -1.4, -0.4, -1/50?
-1/50
Which is the closest to -4? (a) 0.06 (b) 2/9 (c) 0 (d) 224
c
Which is the closest to 21/10? (a) -1 (b) -46 (c) -2/13 (d) -2/7
c
Which is the nearest to -1? (a) 7 (b) -7.54 (c) -0.1 (d) 35 (e) -0.5
e
What is the closest to 2/217 in 0.5, -314, -2?
0.5
What is the closest to -2 in -6.11, -3, -7, -5, -2?
-2
Which is the nearest to 0.375? (a) -0.1 (b) 5 (c) 0.3 (d) 12
c
What is the nearest to 1/8 in 2/25, -10, 0, -1?
2/25
Which is the closest to -117? (a) -3/2 (b) -7/3 (c) -13.1
c
What is the nearest to -1/7 in -0.5, -1/145, -0.03?
-0.03
Which is the nearest to 4? (a) -0.05 (b) 0 (c) -1/4 (d) 2
d
Which is the nearest to 7? (a) 2/9 (b) -138 (c) 3 (d) 5
d
What is the nearest to 0.031 in -0.05, -0.4, 4, -0.1, -2/3?
-0.05
What is the closest to -5 in -1, -3, 5, -1.2, -3.1?
-3.1
Which is the nearest to 1? (a) 8 (b) 26 (c) -63 (d) -1/7 (e) -0.5
d
What is the closest to -0.1 in -1/5, 2/53, 5, -0.07, 3.2?
-0.07
Which is the nearest to 0.3? (a) -4 (b) 9/4 (c) 2.1 (d) -4/5 (e) -0.1
e
What is the nearest to 1 in 1/2, -9, -3, -0.74, -0.2?
1/2
What is the closest to -1760 in -2/13, 0.4, 3/2, 0.3, 2/7?
-2/13
Which is the closest to 13? (a) 2/23 (b) -16 (c) 7
c
Which is the closest to -2? (a) 3 (b) -6612 (c) 2
c
What is the nearest to 35 in -12, 0.2, 4?
4
What is the closest to -2/9 in -6.1, -309, 2?
2
Which is the closest to 5/78? (a) -1.3 (b) -5 (c) -2
a
Which is the nearest to -2/5? (a) 0.04 (b) 1.2 (c) -3 (d) 0.033
d
Which is the closest to 3/25? (a) -133 (b) -6 (c) -5
c
Which is the closest to 1/4? (a) 8/5 (b) -1 (c) 0.2
c
What is the nearest to -1 in 10/9, -1, -26?
-1
Which is the closest to 5? (a) 0.309 (b) -0.5 (c) 14
a
Which is the nearest to -3/2? (a) 1/5 (b) 60 (c) -88
a
Which is the nearest to 8.59? (a) 2 (b) -1 (c) 0.9
a
Which is the nearest to 1? (a) -4 (b) 2 (c) 67 (d) -13 (e) -0.15
b
What is the closest to 0.3 in 2, 2/5, -23/5, -4?
2/5
What is the nearest to 1 in 19/3, 0.5, -16?
0.5
Which is the closest to -397? (a) -4 (b) 46/9 (c) -6/7
a
Which is the closest to 0? (a) 2/7 (b) -1/3 (c) 0.4 (d) -0.1 (e) -1386
d
Which is the nearest to -0.3? (a) 34436 (b) 0.2 (c) -0.05
c
What is the nearest to 0.1 in -1/3, -2.3, -47/6?
-1/3
What is the closest to 0 in 2/9, -16, 4, 0.136?
0.136
Which is the closest to 0.019? (a) -2 (b) 3 (c) -3/7 (d) 2/211 (e) 0.1
d
What is the nearest to -1/3 in 129, -3, -1/3?
-1/3
Which is the closest to -2/3? (a) 19 (b) -1971 (c) 0.1
c
Which is the nearest to 2/3? (a) -1021 (b) 2 (c) 2/3
c
Which is the nearest to -3? (a) 0.5 (b) 821 (c) -5 (d) -3
d
Which is the nearest to 0.1? (a) -11 (b) -1/3 (c) 5 (d) 57
b
What is the closest to 0.2 in -2/3, 0.1, -3, -82/729?
0.1
Which is the closest to 1/4? (a) 0 (b) 9.483 (c) -10/23
a
Which is the nearest to -1/3? (a) 14 (b) -4 (c) 5 (d) 2/17 (e) -1
d
Which is the closest to -13? (a) 0.5 (b) 6/7 (c) -2/11 (d) 1
c
What is the closest to -0.4 in 2, 0.3, 1, 4, 2/11?
2/11
Which is the closest to 3/4? (a) -0.5 (b) -3/8 (c) -1/9 (d) 0.3 (e) 169
d
What is the nearest to 1 in -1/79, 2, -3/5, -26, 3/7?
3/7
Which is the nearest to -14? (a) -6 (b) 1/3 (c) -1.3 (d) -7
d
What is the nearest to -15.8 in 0.01, -2/9, -2/23?
-2/9
Which is the closest to 2/3? (a) 4 (b) 251 (c) 619/3
a
What is the closest to -7/1020 in 8, -0.7, 0.1?
0.1
What is the nearest to -0.04 in 0.15, -4, 1?
0.15
What is the closest to -14 in 3, -8, 12?
-8
What is the closest to 13/7 in -14, 1, -3/8, 5, -3/2?
1
What is the nearest to 48 in 2, -2, -3, -4/11?
2
Which is the closest to 2? (a) 0.059 (b) -0.1 (c) 0.06 (d) 2/3 (e) 18
d
Which is the closest to -0.5? (a) -1/11 (b) -1/8 (c) 1/4
b
Which is the closest to -6/5? (a) 0.2 (b) -2.64 (c) 1/11
c
What is the closest to 5688 in 3, -5, 1/5?
3
Which is the nearest to -0.1? (a) -1097178 (b) 2 (c) -1
c
Which is the closest to 0.02? (a) 18 (b) 25 (c) -19/4 (d) 3
d
What is the closest to 0 in -91, 0.4, -0.8?
0.4
What is the closest to 2/5 in -4140, 4, -0.3?
-0.3
Which is the nearest to -0.3? (a) -403 (b) 0.4 (c) -4/261
c
What is the closest to -0.1 in 0.562, -3, 0.1, -4?
0.1
Which is the nearest to 0? (a) -0.8 (b) -0.6 (c) 2 (d) 3 (e) -2/129
e
What is the nearest to 348 in 0.3, 0, 1?
1
What is the closest to -2/7 in 7, -42, 5, -17?
5
What is the closest to -2/7 in -3/4, -15/7, 0.06, -2, -5?
0.06
Which is the nearest to 5/4? (a) 5 (b) -37/5 (c) 1/6 (d) -197
c
What is the nearest to -8 in -2/5, -1, 1468?
-1
Which is the nearest to 5/28? (a) 122 (b) -2/9 (c) 0.2
c
What is the closest to 36/19 in -2, -44, -0.3?
-0.3
What is the nearest to 0.2 in -6, 1/10, 22?
1/10
Which is the closest to -0.04? (a) -1/10 (b) -2/7 (c) -5.9
a
What is the closest to -1/4 in 3, -69, 2.8, -4?
2.8
Which is the closest to -5351? (a) -1.3 (b) 2/7 (c) -2/3
a
Which is the nearest to -0.3? (a) -1 (b) -0.5 (c) 0.10624
b
What is the closest to -0.2 in 4/3, -29, -4.6, -2/5, 5/2?
-2/5
Which is the nearest to -0.4? (a) 5 (b) -0.5 (c) -0.4 (d) -20.1 (e) 0.4
c
What is the closest to 1/4 in -0.8, -0.1874, 0.1?
0.1
Which is the nearest to 4? (a) -5 (b) -4 (c) 6497
b
Which is the closest to -2? (a) -24 (b) 1/3 (c) -13 (d) -1
d
Which is the nearest to 0? (a) 0 (b) 0.1 (c) -8.9 (d) 16
a
What is the nearest to -7 in -0.5, 0.1, -0.9, -88?
-0.9
What is the closest to 122 in -1, 4/3, 1/2?
4/3
Which is the closest to 130076? (a) -2/5 (b) 3 (c) 0.2
b
What is the closest to -0.1 in 18, -3/8, -23/8?
-3/8
Which is the nearest to 0.56? (a) 3/25 (b) 0.5 (c) 0.3 (d) -5
b
Which is the closest to 0.2? (a) 4 (b) -0.11 (c) -4 (d) -3.97
b
Which is the closest to -32? (a) -0.03 (b) -1/6 (c) 0.2 (d) -3 (e) -0.2
d
Which is the closest to -2? (a) 57 (b) -4 (c) 97 (d) 3/5
b
Which is the closest to 6? (a) -0.2 (b) -9 (c) 12.5
a
Which is the closest to 0.3? (a) 6 (b) 3 (c) -16 (d) 0.5
d
What is the nearest to -89 in 1861, | {
"pile_set_name": "DM Mathematics"
} |
2*c = -25. Let q(h) = -h**2 - 7*h - 7. Calculate the lowest common multiple of q(j) and 11.
33
Let r(m) = m**2 - 8*m + 4. Calculate the smallest common multiple of 5 and r(8).
20
Suppose -5*h = -2*b - 3*b - 325, 0 = 2*h + 5*b - 109. Suppose h = -4*r + 2. Let u = r + 35. What is the lowest common multiple of u and 18?
180
Let y(w) = w**3 - 6*w**2 + 3*w - 2. Suppose -a + 5 + 0 = 0. Suppose 1 = d - a. Calculate the lowest common multiple of y(d) and 10.
80
Let g be (-152)/6 + 4/12. What is the lowest common multiple of 9 and g*(1 + (-7)/5)?
90
Find the common denominator of -42/5 and ((-2)/8)/((-25)/1675).
20
Let h(u) = u - 2. Suppose 0 = 2*v - 0*v - 10, 2*f + 2*v = 14. Let w be h(f). Calculate the common denominator of (121/(-10))/1 + w and -49/4.
20
Suppose -2*z + 12 = -0*z. Let g = -4 + 6. What is the least common multiple of g and z?
6
Let j(m) = -2*m + 3*m - 2*m + m**2. Let n be j(-1). What is the lowest common multiple of 9 and (n/5)/(2/40)?
72
Let h be 36/16 + 2/(-8). Suppose -4*k - 4 = -h*k. What is the lowest common multiple of 4 and -2*((-1)/k - 1)?
4
Let p = -3 - -5. Let f(q) = q**2 + 18*q + 68. What is the least common multiple of f(-4) and p?
12
Let z be (-2 - -2)*(-2)/(-2). What is the common denominator of -93/2 and 2 + 57/18 + z?
6
What is the lowest common multiple of (-16)/6*279/(-12) and 22?
682
Let p = 0 + 4. Suppose 2 = -3*d + p*d. Calculate the least common multiple of 1 and d.
2
Let z be (-6)/21 - 89/7. Let k = 21 + z. Calculate the smallest common multiple of 9 and k.
72
Let b = -246946/407037 + 117/193. Let d = b + -13825/1406. Find the common denominator of d and (24/(-22) + 1)*-47.
66
Let c(g) = -g**3 - 5*g**2 + 7*g - 7. Let s be c(-7). Let z = s - 30. Calculate the smallest common multiple of (2 + 4)/(3/2) and z.
12
Let r = 143 + -410. What is the common denominator of (-1)/1 - r/(-18) and -93/2?
6
Let n(c) = 6*c - 6. What is the least common multiple of n(4) and 18?
18
What is the lowest common multiple of 3 and (8/(-48) - (-53)/(-42))*-7?
30
Let i(y) = -y**2 - 4*y + 4. Let u = -20 + 36. What is the least common multiple of i(-4) and u?
16
What is the common denominator of 41/154 and (-41)/22 - 7/((-21)/(-3))?
154
Let d(i) = -26*i**2 - 2*i - 1. Let s be d(-1). Let l = -16 - s. Let u(k) = k**3 - 5*k**2 + 3*k - 7. What is the least common multiple of u(5) and l?
72
Let c(p) = p**2 - 2*p - 2. Let k be c(5). Let t = 19 - k. What is the lowest common multiple of 8 and t?
24
Let w = -20 - -29. Let y = w - 13. Let p = y - -20. What is the lowest common multiple of p and 6?
48
Let k(b) = -b**2 + 5*b + 6. What is the smallest common multiple of 6 and k(5)?
6
Suppose -3*k - 2 = 7. Let t = k + 9. Suppose 4*x + 8*i = 5*i + 97, x - 28 = -2*i. What is the least common multiple of x and t?
66
What is the common denominator of (-86)/4*1/9 and -3/4?
36
Let k be 4/14 + (-7674)/7. Let m = 9844/9 + k. Find the common denominator of m and 14/3.
9
Let c = -16594 + 365179/22. Suppose t + 17 = -3*y, -2 = -y - 5. Calculate the common denominator of c and ((-4)/(-10))/(t/335).
44
Let d = -138 + 62. What is the common denominator of d/2*(-1)/8 and -23/3?
12
What is the lowest common multiple of 10 and (3/2)/((-18)/(-12))?
10
Let y be (-3 - (3 + -6)) + 50. Suppose -8*m = -3*m - y. Calculate the smallest common multiple of m and 6.
30
Let a = -527/6 + 106. Calculate the common denominator of a and -14/3.
6
Let a be 5 - (-1 + (-6)/(-2)). Suppose -y - a*z - 7 = 2*z, 5*y - 3*z = 21. Calculate the smallest common multiple of 1 and y.
3
Calculate the common denominator of -2 + 2 + (-57)/24 and -95/2.
8
Let w = 53447/10 + -5349. Let n be (-19804)/6 + 3/(-6). Let r = 3323 + n. What is the common denominator of w and r?
30
Let l = 1135 - 2183/2. Let o be ((-244480)/88)/(4/(-10)). Let d = o + -6950. Find the common denominator of l and d.
22
Let l = -38 - -155. Suppose r = 5*z + 39, 7*r = 4*r + 3*z + l. Suppose -5*f - d = 41 - 104, -3*f - d = -r. Calculate the smallest common multiple of 8 and f.
24
Let i = -529 + 2127/4. Find the common denominator of i and -29/20.
20
Calculate the lowest common multiple of 1 and -1 - 440/(-36) - (-6)/(-27).
11
Let f = -4 - -6. Suppose 0 = 2*y + 4*l - 6 - 0, -2*l - 33 = -3*y. What is the least common multiple of f and y?
18
Find the common denominator of 41/10 and 5/25 + (-1484)/120.
30
Let t(a) = -60*a**2 - a - 1. Let o be ((-3)/9)/(4/(-24)). Let r be t(o). Calculate the common denominator of (-4 - -2)/((-24)/r) and -29/3.
12
Let q = -2 + 2. Suppose q*u + 72 = 4*u. Let h = 6 - -4. What is the smallest common multiple of u and h?
90
Suppose 16845 + 17505 = -3*i. Let q be ((-7)/126)/(2/412557). Let u = i - q. What is the common denominator of 95/2 and u?
12
Let d = 196 - 151. Calculate the smallest common multiple of d and 5.
45
Let t(i) = i**2 - 11*i - 15. Calculate the lowest common multiple of t(13) and 3.
33
Suppose 5*d + 67 = 227. What is the lowest common multiple of 24 and d?
96
Let c be (-524)/(1/(-3) + 0). Let l = -11038/7 + c. Calculate the common denominator of -69/8 and l.
56
Let o(z) = 39*z**2 + 2*z. What is the least common multiple of 7 and o(-1)?
259
Suppose -p - 7 = -g, 6*g + 2*p - 49 = g. Calculate the least common multiple of g and 42.
126
Let h = 5 + -3. Suppose 0 = 2*i - 4*r - 24, 0*i - 120 = -5*i - 2*r. What is the least common multiple of i and h?
22
Suppose -2*u - 5*r = 256, 5*u = 4*u - 5*r - 138. Find the common denominator of 13/20 and (u/(-20) - -3) + -1.
20
Calculate the common denominator of 154/(-132)*21/2 and ((-1)/6)/((-12)/(-207)).
8
Suppose -5*f = 3 - 28. Suppose 0 = 2*t - g + f, 2*g = -5*t + t - 6. What is the common denominator of 53/4 and t/(-6)*21/10?
20
Let g(x) = -150*x**2 + 4*x - 2. Let n be g(2). Let i = n + 3583/6. What is the common denominator of 35/8 and i?
24
Let u be (-2 + 4 - 6)/1. Let h = -16 + u. Find the common denominator of -51/8 and ((-118)/h)/(4/10).
8
Let l(d) = 5*d - 2. Let o be l(-4). Calculate the common denominator of o*1*1/36 and 69/22.
198
Let c(m) = 2*m**3 - 3*m**2 + 1. What is the lowest common multiple of 11 and c(2)?
55
Let g(w) = 34*w**3 - w**2 + 2*w. Let r be g(2). Find the common denominator of -49/4 and r/88 + 1/(-1).
44
Let t = 5737/8 - 711. Calculate the common denominator of 45/8 and t.
8
Suppose 3*k + 81 - 18 = 0. What is the common denominator of 1/((-36)/k) + -2 and -133/12?
12
Let u(a) = -11*a**3 + a**2 - 1. Suppose 0 = -2*h + 4*z + 16, -2*h + 0*h - 4*z = 0. Calculate the lowest common multiple of u(-1) and h.
44
Suppose -2*o + 4 = -16. Let r = 10 - -11. Let b = r - 3. What is the lowest common multiple of o and b?
90
Suppose 3*t + 4*y = 96, 0*y = 2*t + 5*y - 71. Calculate the least common multiple of 12 and t.
84
Let a = -5 + 12. What is the least common multiple of a and 5?
35
Suppose 4*c = -c + 50. Let y be 2/(-1 + -1) - 0. Let k = 5 - y. Calculate the least common multiple of k and c.
30
Let a(r) = -r**2 - 3*r - 2. Let n be a(-5). Let m = n + 17. Calculate the smallest common multiple of 22 and m*-1*(-4)/10.
22
Let i(b) = 2*b**2 + b + 3. What is the least common multiple of i(-3) and 4?
36
Find the common denominator of (1 - (-8)/(-2)) + (-6608)/(-1008) and 56/15.
45
Let x be (3/(-2))/(6/(-8)). Let d(h) = h**2 - 6*h + 5. Let w be d(5). Suppose -x*u - u + 30 = w. Calculate the smallest common multiple of u and 22.
110
Suppose 0 = -6*h + 127 + 53. What is the smallest common multiple of h and 21?
210
Let w be 2/(44*2/23266). Let a = w - 529. Let t = -252/5 - -229/10. What is the common denominator of t and a?
22
Let x be 26/3 - 3/(-9). Suppose 2*j - 4*b = -x*b + 42, -5*j + 3*b + 43 = 0. Calculate the lowest common multiple of j and 11.
11
Let y be (-27)/45 + 168/5. Calculate the common denominator of y/15 + (-1 - 1) and 59/2.
10
What is the common denominator of (-1)/(7/((-266)/(-20)))*1 and -55/36?
180
Suppose 4*k = -6*p + 5*p - 11, -2*p + 11 = -3*k. Let v = -10 + 13. What is the smallest common multiple of v and p?
3
What is the common denominator of 27/(-30)*((-1)/(-2) + 0) and 77/26?
260
Let f = -27 + 43. Let x(n) = -n**2 + 7*n + 6. Let g be x(6). Suppose h + 2*h - g = 0. Calculate the smallest common multiple of h and f.
16
Let u = -10325/66 + 470/3. Let p = -1019 + 10211/10. Find the common denominator of u and p.
110
Let i = -93 - | {
"pile_set_name": "DM Mathematics"
} |
t x(w) = -j(w) + 3*u(w). Let q(r) be the first derivative of x(r). What is f(q(k))?
-4*k**2
Let h(x) be the third derivative of x**5/10 - 12*x**2. Let g = 15 - 12. Let t(p) = -4*p + g*p - p + 0*p. What is h(t(y))?
24*y**2
Let f(n) = -243329*n. Let i(r) = -2*r. Give f(i(b)).
486658*b
Let j(l) = -19*l**2 - 6. Let d(w) = -39*w**2 - 15. Let z(u) = 2*d(u) - 5*j(u). Let f(r) = 6*r. What is f(z(q))?
102*q**2
Let c(m) = -m**2. Let v(i) be the second derivative of -5/2*i**3 + 0 + 0*i**2 + 14*i. Determine c(v(b)).
-225*b**2
Let j(y) = 46*y**2 - 107*y**2 + 31*y**2 + 40*y**2. Let o(g) = -7*g. Give j(o(f)).
490*f**2
Let y(b) = 16*b**2 + 7*b + 14. Let z(m) = -7*m**2 - 3*m - 6. Let n(a) = -3*y(a) - 7*z(a). Let h(x) = -14*x**2 + 1 - 1. Give h(n(f)).
-14*f**4
Let p(i) be the third derivative of -26*i**2 + 0*i**4 + 1/30*i**5 + 0 + 0*i**3 + 0*i. Let m(g) = g. What is m(p(b))?
2*b**2
Suppose 3*n - 9 - 3 = 0. Let i be 3/(27/15) - (-17)/51. Let b(t) = 102 - 102 - n*t**2 + 7*t**i. Let v(a) = -5*a**2. What is b(v(h))?
75*h**4
Let a(r) = 84*r. Let q(i) = 441*i**2. Calculate a(q(y)).
37044*y**2
Let a(m) = 104 + 7*m - 104. Let d(l) = -3*l - 1 + 1 + 0. Determine a(d(v)).
-21*v
Let t(i) = -i + 13. Let x be t(11). Let y(g) = 0*g**2 + 0*g**2 - 7*g**x - 3*g**2. Let p(v) be the second derivative of -v**3/3 + 2*v + 4. Determine p(y(l)).
20*l**2
Let h(p) = p. Let x(w) = -5*w - 7 + 10 + 10 + w. Give h(x(q)).
-4*q + 13
Let d(n) = -151*n**2 + 9*n. Let y(q) = 46*q**2. Give d(y(h)).
-319516*h**4 + 414*h**2
Let u(h) = 612*h - 310*h - 301*h. Let a(z) be the third derivative of z**6/360 + z**3/6 - 2*z**2. Let o(f) be the first derivative of a(f). What is u(o(x))?
x**2
Let b(l) = 29*l**2 + 3*l**2 + 36*l**2. Let a(t) = 2*t. Determine b(a(j)).
272*j**2
Let a(k) = -7*k. Let f(y) be the third derivative of 5*y**4/6 - 109*y**2 + y. What is f(a(i))?
-140*i
Let w(b) = 8*b. Let y(o) = -3*o. Let j = 35 + -40. Let t(d) = j*y(d) - 2*w(d). Let k(h) = 57*h. Give k(t(q)).
-57*q
Let n(g) = -8*g**2. Let q(w) = 14*w - 16*w - 6*w. What is n(q(d))?
-512*d**2
Let f(w) = 46*w. Let q(u) = 2*u**2 + 4*u - 2783. Give q(f(b)).
4232*b**2 + 184*b - 2783
Let c(u) be the second derivative of 71*u**4/4 - 4*u. Let z(w) = -3*w**2. Give z(c(b)).
-136107*b**4
Let a(w) = 226*w. Let d(p) = 118*p + 1. Calculate d(a(y)).
26668*y + 1
Let q(d) = -3*d. Let n(k) = 2*k**2 + 16*k + 41. Give q(n(g)).
-6*g**2 - 48*g - 123
Let s(u) = -381*u**2. Let x(i) be the third derivative of i**4/8 + 177*i**2. Determine s(x(l)).
-3429*l**2
Let y(t) = -15*t. Let o(s) = 65124*s**2. What is o(y(n))?
14652900*n**2
Let a(z) = -4*z - 3*z - 7*z - 6*z - 5*z. Let s(j) = -17*j. Calculate a(s(i)).
425*i
Let z(l) = -2*l**2. Let d(a) = 3*a**2 - 6*a + 10 - 3*a + 3*a - 4. Let h = -1 + 2. Let i(s) = -s + 1. Let f(t) = h*d(t) - 6*i(t). Give z(f(u)).
-18*u**4
Let d(y) = -8*y**2. Let v(z) = -105*z - 11. Calculate d(v(f)).
-88200*f**2 - 18480*f - 968
Let q(y) be the first derivative of 29*y**3/3 - 2*y - 125. Let h(v) = -6*v**2. Determine h(q(c)).
-5046*c**4 + 696*c**2 - 24
Let r(q) = 12*q**2 + 15. Let o(b) = -11*b**2 - 11. Let l(i) = -5*o(i) - 4*r(i). Let v(x) = -5*x**2. What is l(v(y))?
175*y**4 - 5
Let r(a) = -89*a**2. Let q(l) = 44*l**2 + 127*l. Determine q(r(b)).
348524*b**4 - 11303*b**2
Let b(z) be the second derivative of -z**3/6 + 4*z. Let c(w) = 2*w**2 + 4. Let p(h) = h**2 + 5. Let q(o) = 5*c(o) - 4*p(o). Calculate b(q(f)).
-6*f**2
Let l(d) = -139*d**2. Let i(b) = 46*b - 2. What is l(i(r))?
-294124*r**2 + 25576*r - 556
Let k(m) = 16042*m + 6. Let x(y) = 5*y**2. Calculate k(x(g)).
80210*g**2 + 6
Let m(i) = -119*i. Let h(a) = 15*a**2 + 4. Give h(m(v)).
212415*v**2 + 4
Let j(t) = 5*t + 4. Let p(v) = -8*v - 6. Let l(b) = -3*j(b) - 2*p(b). Let f(r) = r**2 + r + 1. Let s be f(-2). Let a(m) = -m + 6*m + s*m. What is l(a(d))?
8*d
Let r(c) = -2*c. Let p(z) = -2*z + 500056. Give p(r(s)).
4*s + 500056
Let i(d) = 20*d. Let o(f) = -1700*f + 16. Calculate o(i(t)).
-34000*t + 16
Let a(s) = 8*s - 13. Let o(j) = j**2 - 45*j. Determine a(o(f)).
8*f**2 - 360*f - 13
Let d(r) = -32*r**2. Let o(s) be the second derivative of s**7/2520 - 5*s**4/6 - 19*s. Let b(j) be the third derivative of o(j). Calculate d(b(l)).
-32*l**4
Let w(s) = 560426*s**2. Let k(j) = 4*j. Calculate k(w(t)).
2241704*t**2
Let f(u) = 6*u**2 + 6. Let b(a) = 1. Let w be ((-7)/8 - 0) + (-2)/16. Let o(k) = w*f(k) + 8*b(k). Let r(s) = 2*s. Give r(o(p)).
-12*p**2 + 4
Let h(s) = -3*s - 20134. Let f(d) = -d. Determine f(h(v)).
3*v + 20134
Let y(p) = -55*p + 10. Let w(z) = -137*z - 2. What is y(w(n))?
7535*n + 120
Let z(n) = 3*n. Let h(a) = 93*a**2 + 15*a. Let k(x) = 23*x**2 + 4*x. Let y(j) = 4*h(j) - 15*k(j). What is z(y(m))?
81*m**2
Let w(v) = 36948*v - 22*v**2 + 9 - 36948*v. Let n(r) = -2*r**2. What is w(n(m))?
-88*m**4 + 9
Let h(r) = -r. Let z(m) be the first derivative of m**2 + 91*m + 293. Give h(z(v)).
-2*v - 91
Let v(c) = c. Let g(w) = -9*w**2 + 26608. Determine v(g(r)).
-9*r**2 + 26608
Let i(d) = -d. Let y(o) = 889*o**2 + 7*o - 2. Let w(t) = 3*t - 1. Let h(l) = 2*w(l) - y(l). Give h(i(c)).
-889*c**2 + c
Let n(c) = -18*c - 22*c + 42*c. Let h(w) = -2*w**2 - 82. Give h(n(k)).
-8*k**2 - 82
Let c(l) be the first derivative of -3*l**2 - 112. Suppose 0 = -2*m + 5*r + 13 + 3, 4*r + 8 = 0. Let u(f) = m*f - 3*f - f. Give u(c(t)).
6*t
Let q(v) = 12*v. Let y(o) be the first derivative of -o**2/2 - 17*o + 589. Determine q(y(j)).
-12*j - 204
Let c(q) = -2*q**2. Let u(v) = -25*v**2. Let b(j) = 22*c(j) - 2*u(j). Let t(x) = x**2. Determine b(t(r)).
6*r**4
Let j(q) = -10*q**2 - 12*q**2 + 7*q**2. Let d(h) = h**2 - 4*h + 4. Let t be d(4). Let u(b) = t*b + 1 - 1 - 3*b. Give j(u(k)).
-15*k**2
Let x(y) = -2*y. Let b(k) = -k**2 + 5*k + 5. Let w(d) = -2*d**2 + 16*d + 16. Let m(n) = 16*b(n) - 5*w(n). Give m(x(q)).
-24*q**2
Let p(g) = -2288*g. Let s(y) = 5*y. Calculate p(s(v)).
-11440*v
Let w(p) = -3*p. Let u be 1/(-2) - 27/(-6). Let x(g) = 2*g. Let r(y) = u*w(y) + 5*x(y). Let d(o) be the third derivative of o**4/8 - 53*o**2. Determine r(d(j)).
-6*j
Let f(r) = -34*r + 70 + 6*r - 71. Let n(k) be the first derivative of -2*k**3/3 - 112. Determine n(f(w)).
-1568*w**2 - 112*w - 2
Let s(n) = -3*n. Let z(t) = -4*t. Let j(m) = -3*s(m) + 2*z(m). Let u(f) = -5*f**2 + 12*f - 12*f + 0*f. Calculate u(j(i)).
-5*i**2
Let w(k) = 2*k - 14. Let y(u) be the second derivative of -u**3/6 - 7*u - 6. Calculate w(y(n)).
-2*n - 14
Let y(z) be the third derivative of -z**4/6 + 53*z**2 + 2*z. Let g(w) = 39*w. Calculate y(g(b)).
-156*b
Let h(m) = -517961*m. Let q(x) = 2*x**2. Calculate h(q(y)).
-1035922*y**2
Let o(g) = -18 + 25 - 2*g - 7. Let n(j) = -3*j - 5. What is o(n(t))?
6*t + 10
Let q(b) be the first derivative of -5*b**2/2 - 48. Let t(l) = 4*l. What is q(t(f))?
-20*f
Let n(v) = v**2 - 8*v + 2. Let y be n(8). Let h(b) = -3*b**2 - 5*b**y + 7*b**2. Let s(i) = i - i + 3*i. Determine s(h(c)).
-3*c**2
Let t(a) be the second derivative of a**5/30 + a**3/2 - 4*a. Let f(d) be the second derivative of t(d). Let h(s) = 2*s**2. Calculate f(h(v)).
8*v**2
Let o(j) = 7*j**2. Let i(w) = w. Let t = -44 + 47. Let c(k) = 4*k. Let b(q) = t*c(q) - 15*i(q). Determine o(b(g)).
63*g**2
Let w(n) = -n - 5084. Let z(m) = 18*m**2. Calculate w(z(d)).
-18*d**2 - 5084
Let l(r) = -5*r**2. Let z(n) be the first derivative of -n**2/2 - 75. Give l(z(o)).
-5*o**2
Let m(w) = -4666*w - 4*w**2 + 4666*w. Let l(y) = y + 11 + 0*y - 11. Calculate l(m(z)).
-4*z**2
Let z(i) = -37*i. Let c(y) = 3168*y. Determine z(c(k)).
-117216*k
Let x(d) be the second derivative of -d**5/40 - d**3/6 - 5*d. Let p(z) be the second derivative of x(z). Let n(w) = -7*w**2. Calculate p(n(t)).
21*t**2
Let j(f) = 20790*f + 2*f**2 - 20790*f. Let r(i) = 4*i**2. Determine j(r(u)).
32*u**4
Let g(l) = 11*l + 2 - 2. Let o(m) = 151*m - 34 - 153*m + 34. What is o(g(a))?
-22*a
Let y(q) = 34*q + 2. Let m(g) = 2378*g. What is y(m(r))?
80852*r + 2
Let d(g) = 34*g**2. Let y(k) = k + 1793. Give y(d(t)).
34*t**2 + 1793
Let h(x) = -13*x - 1. Let m(l) = 3*l + 444. Give m(h(j)).
-39*j + 441
Let k(u) = 0*u - 3*u - 11 - 5*u + 16. Let v(r) = -6*r + 4. Let z(n) = -4*k(n) + 5*v(n). Let d(f) = -26*f. What is z(d(o))?
-52*o
Suppose 0 = t - 5*y - 0*y + 18, y = 4. Let p(r) = 15*r**t - 11*r**2 - 8*r**2. Let x(s) be the second derivative of -5*s* | {
"pile_set_name": "DM Mathematics"
} |
osest to 2 in -2/17, 1, n?
1
Let d = 74 + -73.7. Let z = -0.1 - -0.1. Which is the closest to z? (a) -2 (b) d (c) -4
b
Let x = 2.9 + -3. Let d = 113 + -117. What is the closest to -1/4 in -0.3, d, x?
-0.3
Let y = -33 + 35. Let k = 0.2 - 0.3. Which is the closest to k? (a) -2/7 (b) -5 (c) y
a
Let o = 29/12 + -8/3. Let y be (-934)/((17 - -3)/(-2)). Let l = y - 94. Which is the nearest to o? (a) l (b) 0 (c) -2/3
b
Let f be 6/(-54) - 23/(-45). What is the closest to f in -1, 5, 2?
-1
Let j = -4 + 2. Let a = 0.5 + -1.5. Let y = j - a. What is the nearest to 2/5 in y, -2/23, 1/5?
1/5
Let n = -30 - -208/7. Let s = -0.16 - -13.16. Let i = s - 9. What is the nearest to n in i, 2, -0.5?
-0.5
Suppose 4*n + 5*m = -0*n - 17, 0 = -3*n - 5*m - 19. Let x be (-4)/3*n/(-12). Let g = -10/11 - -31/22. Which is the closest to g? (a) x (b) 0.4 (c) 2/3
b
Let r be ((-16)/(-6))/(8/240). Let j be (-2)/7 + r/84. Which is the nearest to -1? (a) 5 (b) j (c) 0
c
Let i = -15 - -15. What is the nearest to 0 in -0.7, 3, i?
i
Let h(b) = 2 - 3 + b**3 - 5*b**2 + 4*b**2 + 0. Let q be h(1). What is the nearest to -0.1 in 3/5, 4, q?
3/5
Let k = -104.8 + 106. What is the closest to -2/5 in k, -1/4, 2?
-1/4
Let k = 14 + -20. Let s = k + 8. Which is the closest to s? (a) 2/9 (b) -0.4 (c) 0.2
a
Let r = -5 + 4.9. Let p = 4.9 - r. Which is the closest to -2/3? (a) 3 (b) p (c) -2/3
c
Suppose -y + 4*w - 9 = 0, 5*y + w - 30 = -4*w. Which is the closest to y? (a) 0.5 (b) -1 (c) 5
c
Let j be 8/(-2) + (-1182)/(-212). Let o = j - 4/53. What is the nearest to -0.2 in 3, -4, o?
o
Let n = -0.4 - -1.4. Let g = n + -1. Let m = 2 - g. Which is the closest to -1/3? (a) m (b) -2 (c) 1/12
c
Suppose 5*q = 2*k - 13, 2*q - 4*q - 5*k + 18 = 0. Which is the nearest to q? (a) 2/9 (b) 2 (c) -0.4
c
Let i be (-1)/(1 - 5/(-5)). What is the nearest to -0.1 in i, 2/5, 4?
i
Let n be (18/(-27))/(7/3). Let p = 0.1 - 0. What is the nearest to p in -0.4, -2, n?
n
Suppose -75 + 3 = -3*q. Let n be 126/q + (-1)/4. Which is the closest to -0.1? (a) n (b) -0.4 (c) -4
b
Let l be (4/(-38))/(-1 - 0). Suppose 5*s = -4*s + 27. Which is the closest to 0? (a) s (b) l (c) -0.5
b
Let z be (-6)/(-15)*(-20)/(-32). Let o = 3 + -8. What is the closest to z in o, 0.4, 2?
0.4
Let u = -1206/7 - -172. What is the nearest to -1 in -5, -1, u?
-1
Suppose 4*w + 5*x + 1 = 2, w = x - 2. Let l = -125/6 - -21. Which is the nearest to w? (a) l (b) 5 (c) 3
a
Let p = -15 + 15.4. What is the nearest to -1 in 0.5, 2, p?
p
Let r = -131 - -128. Which is the closest to -1? (a) r (b) -5 (c) 3/7
c
Let h = 0.36 + -0.66. Let j = -3 - -2.9. What is the nearest to 0 in h, j, 5?
j
Let n = -18 - -18. What is the nearest to n in -0.3, -2, 2/5?
-0.3
Let t = -0.8 - 0.2. Let l = -1 - t. Let i = l - -1. Which is the closest to 0.1? (a) -0.2 (b) i (c) 0.5
a
Let i be (-24)/15 + 10/(-25). What is the nearest to 0.2 in 5/3, i, -3?
5/3
Let i = 179/385 - 2/55. Let d = -1 - -0.8. What is the nearest to -1/3 in d, i, -3?
d
Let j = -51/2 + 25. Which is the nearest to 1? (a) -2/7 (b) -3 (c) j
a
Let g = -3.8 + 2.8. What is the closest to g in 4, 3/20, -2?
-2
Let s = 0.96 - -0.04. Let w = -0.06 + 0.56. Let y be (4/(-14))/((-2)/4). What is the nearest to s in w, y, 3?
y
Suppose i - 5*b + 4 = -i, 4*i - 2*b - 24 = 0. Let c = -10 + i. What is the closest to -1/6 in 3, 0.5, c?
0.5
Let f be ((-4)/(-5))/(8/(-60)). Suppose -2*b + 3*a + 1 = 2*b, -3*b + 4*a - 1 = 0. Let g be (-2)/f*b/1. What is the closest to -2 in 2/9, g, -1?
-1
Let u = -12/91 - 2/13. What is the nearest to -1/2 in u, -0.06, 3?
u
Let t = -19 - -20. What is the closest to -0.3 in -0.2, -2, t?
-0.2
Let h = 2.1 + -2.5. Let r be (-16)/5 - 2/(-10). Which is the closest to 0? (a) r (b) 1/3 (c) h
b
Let j = 15 + -10. Suppose -v - j = -2*v. Let d be (-2)/(-12)*(v - 1). What is the closest to 1 in d, -1/4, -5?
d
Let z = -4 - -1. Let g = 47 - 43. Let k be ((-2)/8)/(6/8). What is the nearest to 1 in k, g, z?
k
Let y = -54.4 - -54. Which is the nearest to 2/7? (a) -2/85 (b) 1/8 (c) y
b
Let g be -2 + (-10)/(-6) - (-44)/60. What is the nearest to g in 3/2, -0.3, 1/4?
1/4
Suppose -2*x - 4*n + 0*n - 22 = 0, 4*x - n = -17. Which is the closest to 0.1? (a) x (b) 5 (c) -32
b
Let f = -3.6 - -0.6. Which is the nearest to f? (a) -4/7 (b) -4 (c) -2/5
b
Let v = -46/3 + 15. What is the nearest to 0 in v, 2/3, 0.4?
v
Let r be (-7)/3 + (-4)/(-12). Let a = 2.1 + -2. Let w = 0.1 + a. What is the closest to 2/3 in -3/5, w, r?
w
Let n = 2/39 + 31/156. Let i = 621/4 - 156. Let x = -93 + 91. Which is the nearest to n? (a) i (b) 2 (c) x
a
Let x be (3 - -1)/(2/(-1)). Let z = x + 3. What is the nearest to z in -1, -4, 0.5?
0.5
Let h = -137741/18 - -7655. Let m = h - 5/2. Let i = -3 - -2. Which is the nearest to 0.1? (a) 2/3 (b) i (c) m
c
Let k = -3.937 - 0.063. Which is the nearest to -2/7? (a) 0 (b) 0.3 (c) k
a
Let h(y) = -y**2 + 3*y + 5. Let v be h(4). Let l = 8/9 - 41/36. Which is the closest to v? (a) l (b) 2 (c) 5
b
Let q = 12.1 - 11.9. What is the closest to 2/9 in -1, -2, q?
q
Let z = -873/2 - -422. Let c = z + 83/6. Let t = 1.1 - 1. What is the nearest to c in 6/5, t, -0.5?
-0.5
Let b = -1.5 + 4. Let v = 0.5 - b. Let l = -53 + 57. What is the nearest to -1/2 in v, 3/2, l?
v
Suppose m + 4*m = 15. Suppose -4*z + 8*z - 16 = -4*w, 5*w - 10 = 5*z. Let s = 0.1 - -0.4. Which is the closest to z? (a) s (b) -1/3 (c) m
a
Let b = 107.6 + -87. Let t = -21 + b. Suppose -3*h + 21 = 2*h - q, 3*h - q = 11. What is the nearest to -1 in -4, h, t?
t
Suppose q = 2*i, 2 = 3*q + 3*i - 7. Let p be (7/(-5) - 1) + q. Let d(m) = 2*m**2 + m. Let z be d(-1). What is the closest to z in p, -1/8, -0.1?
-0.1
Let r = 12 - 10. Let d = 6.4 + -6. Which is the nearest to r? (a) 3 (b) d (c) -1/6
a
Let r = -0.2 + 0.1. Let l = 1/14 - -3/7. Which is the closest to r? (a) l (b) -1/3 (c) -3
b
Let a = 18.9 + -19. Let g be (4/2)/((-18)/(-27)). What is the nearest to a in 3/5, g, -0.5?
-0.5
Let w = -10 - -9.7. Which is the nearest to w? (a) 1/8 (b) 4 (c) -6
a
Let m = 3 - 4. What is the closest to m in 0.3, -1, 4?
-1
Let u = 96 + -96.2. What is the closest to u in 2/31, 0, 5?
0
Let g = -7 - -5. Suppose 5*j = -2*n + 137, 0 = -3*j - 3*n + 46 + 38. Let v be 1/3 - 3/j. What is the nearest to v in g, 0, -2/5?
0
Let r = 22 + -18. What is the nearest to r in 5, 0.4, 0?
5
Let j = -14 + 5. Let u be ((-1)/(-5))/(3/j). Let z = 2.4 + -2. What is the closest to 0 in z, -1/2, u?
z
Let l = -0.2 - -0.1. Let n = -11.5 - -11. Let f = 2.1 - 2. Which is the closest to f? (a) 4/9 (b) l (c) n
b
Let k = 194 - 1354/7. Let n be 2 + 1 + (-50)/20. Let h = -8/7 - -6/7. Which is the nearest to h? (a) k (b) 1 (c) n
c
Let x = 0.3 + -0.8. Let o = 1.1 - 1.1. What is the closest to -1 in -5, x, o?
x
Let w(v) = v - 8. Let k be w(6). Let i = k - -2. Which is the closest to i? (a) 2 (b) -3 (c) -1
c
Let u = -46 - -41. Which is the closest to 0.2? (a) -4 (b) u (c) 4/9
c
Let g be 2/4*-1*(-18)/15. What is the closest to -0.2 in g, -3, -2?
g
Let l = -0.05 - -0.15. Suppose -31 - 5 = -2*v. Let n be (-4)/v + (-20)/72. Which is the nearest to l? (a) 4 (b) n (c) 0.4
c
Let i = -4 - -4.4. Let o be (-4)/(-36)*(-1 - 0). Which is the closest to 1? (a) i (b) 4 (c) o
a
Let f = -2.112 + 0.112. What is the closest to f in -1, 0, 0.4?
-1
Let z = -2 - -4. Let x = -0.2 + 0. Let f = -19 + 19. Which is the nearest to f? (a) x (b) 0.5 (c) z
a
Let j = 1.08 + -1.08. Which is the nearest to 1? (a) j (b) -0.11 (c) -1
a
Let v = 2.47 - 0.47. What is the nearest to v in 1/6, -0.1, -1/5?
1/6
Let w be (-4)/(-2)*(-1)/(-7). Which is the nearest to 2/3? (a) w (b) 1 (c) 4
b
Let v = 0.08 - 0.58. Let g = -22 + 35. Let f = g + -18. What is the nearest to -1/3 in f, -3, v?
v
Let w = 1.4 + -1.3. Which is the closest to w? (a) 0.3 (b) 0.4 (c) -2/9
a
Let p = -5 + 9. Let i = 4 - p. Which is the nearest to 0? (a) i (b) 0.1 (c) 0.3
a
Let w = 1/158 + 233/632. Let g(r) = 0*r - 2 + r - 1 + r**2. Let x be g(0). Which is the closest to 1/2? (a) w (b) x (c) -5
a
Suppose 14 = -y - 3*r + 2, 2*r = -2*y - 12. Let d be 17/y - (-2)/3. Let u = 2 + -3. What is the nearest to u in -1/3, 3/2, d?
-1/3
Let j = -0.008 - -11.008. What is the closest to 0.1 in j, -2/3, -0.4?
-0. | {
"pile_set_name": "DM Mathematics"
} |
/7 - 15531 = 0. Calculate z.
-21, 5177
Factor -4*r**3 - 96988*r**2 + 193988*r - 96996.
-4*(r - 1)**2*(r + 24249)
Determine y, given that 3*y**3 + 591*y**2/2 - 897*y/2 + 150 = 0.
-100, 1/2, 1
Suppose -3*q**5/4 + 123*q**4/4 + 951*q**3/4 - 5079*q**2/4 + 1707*q - 705 = 0. What is q?
-10, 1, 2, 47
Suppose -5*o**3 - 2280*o**2 - 307545*o - 10302250 = 0. Calculate o.
-203, -50
Solve 2*z**4 + 1309364*z**3 + 214302951194*z**2 - 428609830488*z + 214305569928 = 0 for z.
-327342, 1
Factor -n**3/4 - 4619*n**2/4 - 5336099*n/4 - 5331481/4.
-(n + 1)*(n + 2309)**2/4
Let 4*s**3 - 242620*s**2 + 3679392928*s - 11035995312 = 0. Calculate s.
3, 30326
Factor 2*d**3 + 334*d**2 - 2436*d.
2*d*(d - 7)*(d + 174)
Determine z, given that -z**5/2 - 434*z**4 - 189221*z**3/2 - 187489*z**2 = 0.
-433, -2, 0
Factor 1024*n**5 + 110016*n**4 + 47985*n**3 + 5243*n**2.
n**2*(n + 107)*(32*n + 7)**2
Factor 5*r**3 - 13505*r**2 + 9085395*r + 45765225.
5*(r - 1353)**2*(r + 5)
Solve -g**4/5 + 319*g**3/5 + 9147*g**2/5 + 67301*g/5 + 58474/5 = 0 for g.
-13, -1, 346
Suppose -178802*t**2/5 + 739128*t/5 - 763848/5 = 0. Calculate t.
618/299
Suppose 5*g**4 - 10320*g**3 - 197890*g**2 + 10320*g + 197885 = 0. What is g?
-19, -1, 1, 2083
Find x such that 16*x**3 + 77712*x**2 + 77700*x + 19424 = 0.
-4856, -1/2
Factor 5*u**4 - 55445*u**3 - 110910*u**2.
5*u**2*(u - 11091)*(u + 2)
Solve 28*h**2/3 + 6268*h/3 + 17680/3 = 0 for h.
-221, -20/7
Find t such that -111*t**4/5 - 240*t**3 + 16326*t**2/5 - 17808*t/5 + 2793/5 = 0.
-19, 7/37, 1, 7
What is a in -3*a**2 - 127740*a - 255468 = 0?
-42578, -2
Factor 4*h**3 + 420*h**2 - 10692*h + 61468.
4*(h - 11)**2*(h + 127)
Factor -2*u**3/7 + 4*u**2 + 552*u/7 + 1872/7.
-2*(u - 26)*(u + 6)**2/7
Let -9*l**5 - 3138*l**4 - 258450*l**3 + 2636712*l**2 - 4887237*l + 1345722 = 0. What is l?
-179, 1/3, 2, 7
Factor 4*g**2 - 860*g + 46216.
4*(g - 109)*(g - 106)
Factor -4*d**3 - 820*d**2 - 38588*d - 37772.
-4*(d + 1)*(d + 71)*(d + 133)
Factor -2*q**2/3 - 1559180*q/3 + 1559182/3.
-2*(q - 1)*(q + 779591)/3
Determine c so that -c**5/2 + 189*c**4 - 26934*c**3 + 1753375*c**2 - 96080883*c/2 + 308764980 = 0.
9, 83, 120
Suppose -2*x**2/7 - 6227436*x/7 - 4847619891762/7 = 0. What is x?
-1556859
Determine f so that 28*f**4 + 15724*f**3 + 2204148*f**2 - 956524*f - 1263376 = 0.
-281, -4/7, 1
Factor -8*t**3 - 2*t**2/7 + 220*t/7.
-2*t*(t + 2)*(28*t - 55)/7
Factor 3*t**2 - 1050*t + 25272.
3*(t - 324)*(t - 26)
Determine n, given that -2*n**4 + 53180*n**3 - 471316608*n**2 + 1391954907136*n + 2785795506176 = 0.
-2, 8864
Determine h, given that 3*h**3 - 990*h**2 + 8709*h - 13482 = 0.
2, 7, 321
Find s, given that -3*s**2/5 - 6160596*s/5 - 3162745256268/5 = 0.
-1026766
What is x in 35*x**2 + 149*x + 54 = 0?
-27/7, -2/5
Suppose 2*s**3 - 17608*s**2 + 37859808*s + 3964060800 = 0. Calculate s.
-100, 4452
Factor 5*m**2/4 - 491605*m/4 - 245805/2.
5*(m - 98322)*(m + 1)/4
Solve -5*q**2 + 295*q + 25680 = 0.
-48, 107
Solve l**2/2 + 286415*l + 82033552225/2 = 0.
-286415
Determine w, given that 172*w**3/7 - 2414*w**2/7 + 1216*w - 42 = 0.
3/86, 7
Solve -10*h**4 - 436*h**3 + 5416*h**2 - 10736*h + 3456 = 0 for h.
-54, 2/5, 2, 8
What is g in 260*g**4/7 + 2868*g**3/7 - 136*g**2 - 11472*g/7 - 352/7 = 0?
-11, -2, -2/65, 2
Factor -3*z**3/5 + 8742*z**2/5 - 6394692*z/5 + 38054088/5.
-3*(z - 1454)**2*(z - 6)/5
Factor 3*b**4 + 2421*b**3 + 7245*b**2 + 7239*b + 2412.
3*(b + 1)**3*(b + 804)
Factor -2*i**2/3 - 918*i + 11048/3.
-2*(i - 4)*(i + 1381)/3
What is c in -c**4/2 + 467*c**3/2 + 1663*c**2 - 1896*c = 0?
-8, 0, 1, 474
Factor 2*b**4 - 174*b**3 - 192*b**2 + 1384*b + 2112.
2*(b - 88)*(b - 3)*(b + 2)**2
Factor 5*g**2/4 - 35520*g + 252334080.
5*(g - 14208)**2/4
Determine g so that -400*g**4 + 25760*g**3 + 183084*g**2 + 309276*g = 0.
-33/10, 0, 71
Let -2*q**4 + 406*q**3 - 23682*q**2 + 305226*q - 518940 = 0. What is q?
2, 15, 93
Let 3*a**5 - 423*a**4 + 22113*a**3 - 531441*a**2 + 5668704*a - 19131876 = 0. What is a?
6, 27, 54
Factor 3*g**4 + 9324*g**3 + 37260*g**2 + 37248*g.
3*g*(g + 2)**2*(g + 3104)
Factor 858050*h**2 - 15720*h + 72.
2*(655*h - 6)**2
Factor 31*l**3 - 68*l**2 + 43*l - 6.
(l - 1)**2*(31*l - 6)
Determine l, given that 2*l**3/5 - 12262*l**2/5 - 36804*l/5 = 0.
-3, 0, 6134
Factor -3*g**3 + 5378*g**2/3 - 807580*g/3 + 1243256/3.
-(g - 298)**2*(9*g - 14)/3
Factor -2*y**3/7 - 22*y**2 - 2120*y/7 + 696.
-2*(y - 2)*(y + 21)*(y + 58)/7
Find z such that z**2 - 1070*z + 86416 = 0.
88, 982
Determine k so that -k**2/2 + 6115*k + 294672 = 0.
-48, 12278
Factor -4*a**5 + 2552*a**4 - 426692*a**3 + 6190144*a**2.
-4*a**2*(a - 311)**2*(a - 16)
Solve 3*z**3/8 - 25785*z**2/8 = 0 for z.
0, 8595
Determine s so that -s**3/4 - 786*s**2 - 6285*s/4 - 1571/2 = 0.
-3142, -1
Factor 2*v**4/15 + 3164*v**3/15 + 111720*v**2 + 20065500*v + 135056250.
2*(v + 7)*(v + 525)**3/15
Factor -d**4/2 - 207*d**3 - 41589*d**2/2 + 130410*d - 198450.
-(d - 3)**2*(d + 210)**2/2
Find o, given that o**4/7 - 7211*o**3/7 + 43215*o**2/7 + 108067*o/7 + 57640/7 = 0.
-1, 8, 7205
Find k, given that -2*k**4 + 2646*k**3 + 106236*k**2 = 0.
-39, 0, 1362
Find g, given that -8*g**5 - 820*g**4 + 30004*g**3 + 17228*g**2 - 76796*g + 30392 = 0.
-131, -2, 1/2, 1, 29
Factor -4*w**2 + 82776*w - 496512.
-4*(w - 20688)*(w - 6)
Solve -2*d**3/17 + 90*d**2/17 + 10004*d/17 - 20352/17 = 0.
-53, 2, 96
Let -n**4/3 + 5316*n**3 - 63520852*n**2/3 - 169644192*n - 1018375744/3 = 0. What is n?
-4, 7978
Factor -5*f**3/6 - 230*f**2/3 - 3275*f/2 - 7245.
-5*(f + 6)*(f + 23)*(f + 63)/6
Solve -22*u**4 - 202*u**3 - 18*u**2 + 162*u = 0 for u.
-9, -1, 0, 9/11
Suppose -s**5/3 + 2039*s**4/3 - 347476*s**3 + 3100816*s**2/3 + 4169728*s/3 - 4145296 = 0. Calculate s.
-2, 2, 3, 1018
Factor -z**2 - 15265*z - 15264.
-(z + 1)*(z + 15264)
Solve 34*d**4/7 - 10748*d**3/7 - 378482*d**2/7 + 435132*d/7 - 45936/7 = 0 for d.
-33, 2/17, 1, 348
Factor 4*a**3 + 3866*a**2/7 + 276*a/7.
2*a*(a + 138)*(14*a + 1)/7
Factor -2*i**2/7 + 3522*i/7 + 38252.
-2*(i - 1834)*(i + 73)/7
Suppose 2*z**3/17 - 750*z**2/17 + 4446*z/17 - 6642/17 = 0. What is z?
3, 369
Suppose -k**3/3 + 35*k**2 - 2714*k/3 = 0. Calculate k.
0, 46, 59
Find n, given that 4*n**5/5 - 268*n**4/5 + 5204*n**3/5 - 30932*n**2/5 + 25992*n/5 = 0.
0, 1, 9, 19, 38
Find n, given that -6*n**4/11 + 140*n**3/11 - 850*n**2/11 + 940*n/11 - 224/11 = 0.
1/3, 1, 8, 14
What is g in g**5/4 - 251*g**4/4 + 5229*g**3 - 142884*g**2 - 148176*g = 0?
-1, 0, 84
Suppose -2042*f**2 + 6*f/13 = 0. Calculate f.
0, 3/13273
Factor -q**4 - 10186*q**3 - 25938648*q**2 + 10186*q + 25938649.
-(q - 1)*(q + 1)*(q + 5093)**2
Solve 4*i**5 - 12*i**4 - 7704*i**3 + 127528*i**2 + 278100*i + 142884 = 0.
-49, -1, 27
Determine g, given that -3*g**3 + 99*g**2 - 78*g - 576 = 0.
-2, 3, 32
Factor -3481*t**3/2 + 190747*t**2/2 + 19452*t + 990.
-(t - 55)*(59*t + 6)**2/2
Suppose j**2/4 - 361*j - 244341/4 = 0. What is j?
-153, 1597
Determine x, given that -2*x**2/3 + 154*x/3 + 6432 = 0.
-67, 144
Suppose a**2/4 - 1637*a/4 - 819/2 = 0. What is a?
-1, 1638
Find s such that -3*s**5/2 + 36*s**4 + 258*s**3 + 360*s**2 = 0.
-4, -2, 0, 30
Let 4*l**5 + 16*l**4 - 572*l**3 - 40*l**2 + 1712*l - 1120 = 0. Calculate l.
-14, -2, 1, 10
Suppose -2*j**5 + 2194*j**4 + 4396*j**3 + 4*j**2 - 4394*j - 2198 = 0. Calculate j.
-1, 1, 1099
Let -3*i**3 - 126108*i**2 - 252207*i - 126102 = 0. Calculate i.
-42034, -1
Factor -4*o**5 + 23008*o**4 - 33085504*o**3.
-4*o**3*(o - 2876)**2
What is v in 4*v**2 - 478144*v = 0?
0, 119536
What is p in -p**2 - 4331*p - 30268 = 0?
-4324, -7
Find g, given that 2*g**2 - 564972*g - 564974 = 0.
-1, 282487
Factor 2*y**3 - 182*y**2 - 672*y + 10152.
2*(y - 94)*(y - 6)*(y + 9)
Solve -2*p**3/9 + 26*p**2/9 + 316*p/9 - 80 = 0 for p.
-9, 2, 20
Determine v, given that -v**5/2 + 273*v**4/4 + 1531*v**3/2 + 3693*v**2/4 - 1323*v/2 = 0.
-9, -2, 0, 1/2, 147
Factor -3*o**3/2 + 33939*o**2/2 - 2153664*o + 68720640.
-3*(o - 11185)*(o - 64)**2/2
Suppose 3*x**4 + 5252*x**3 + 8747*x**2 + 3498*x = 0. What is x?
-1749, -1, -2/3, 0
What is k in -3*k**4 - 156543*k**3 - 2721864600*k**2 - 15752300040000*k + 300277368000000 = 0?
-17400, 19
Let 3*b**2/5 - 9182538*b/5 + 7026583676787/5 = 0. Calculate b.
1530423
Find d, given that 240*d**3 + 205915*d**2 + 1425390*d - 29785 = 0.
-851, -7, 1/48
Suppose 8*l**2/3 - 602*l/3 - 152 = 0. Calculate l.
-3/4, 76
Let -3*q**2 - 9 | {
"pile_set_name": "DM Mathematics"
} |
sing order.
11, 0.1, 2/21, -0.05, -0.1
Put -36, 5, 4, -125 in descending order.
5, 4, -36, -125
Sort -4, -26, -343, 17 in descending order.
17, -4, -26, -343
Put -1/9, 4, 101, -2/17, -1, -0.5 in ascending order.
-1, -0.5, -2/17, -1/9, 4, 101
Put -150, -4, -2 in decreasing order.
-2, -4, -150
Put -0.3, 0.2281, 2.1, 1/2 in increasing order.
-0.3, 0.2281, 1/2, 2.1
Sort -24, -497, 1 in ascending order.
-497, -24, 1
Put 9, 160, 1 in ascending order.
1, 9, 160
Sort -3, 1, -5, -12, -188, 3.
-188, -12, -5, -3, 1, 3
Sort 3, 2, 6, 155, 1 in increasing order.
1, 2, 3, 6, 155
Sort 0, 53, -0.4, -0.1, 0.3, -1 in decreasing order.
53, 0.3, 0, -0.1, -0.4, -1
Put 18, -2, 1, 0, 17, -4 in descending order.
18, 17, 1, 0, -2, -4
Sort 4, -26909, -4 in ascending order.
-26909, -4, 4
Put 2, -26/7, -0.04, 0 in descending order.
2, 0, -0.04, -26/7
Put -38, 102, 2 in descending order.
102, 2, -38
Put -2, -5582, -328 in descending order.
-2, -328, -5582
Sort 3, 4, -1, 7, -824 in descending order.
7, 4, 3, -1, -824
Put 2, -1, 712679 in decreasing order.
712679, 2, -1
Sort -0.301, -20/47, -1/2, -2/5 in ascending order.
-1/2, -20/47, -2/5, -0.301
Put 1, 1716, 2 in descending order.
1716, 2, 1
Put -5.347, -2, 4 in increasing order.
-5.347, -2, 4
Put -1148, -14, 2, -5, -4 in ascending order.
-1148, -14, -5, -4, 2
Sort 107, 4, 0.2, -2/23 in ascending order.
-2/23, 0.2, 4, 107
Put -0.4, 2/19, 5, 1, 40 in ascending order.
-0.4, 2/19, 1, 5, 40
Sort 15, 100, -2, 0, 5.
-2, 0, 5, 15, 100
Put -5, -2, 3.56, -3/2, 4, 0.3 in ascending order.
-5, -2, -3/2, 0.3, 3.56, 4
Sort 182, 5, 254 in ascending order.
5, 182, 254
Put 3/4, -10.5, -0.3, 266, 2 in descending order.
266, 2, 3/4, -0.3, -10.5
Sort -1061, -10, 25, 3, -2 in descending order.
25, 3, -2, -10, -1061
Put 5662, -3, -11, -1, 3 in descending order.
5662, 3, -1, -3, -11
Put 6, 3, -7, 23, 60 in increasing order.
-7, 3, 6, 23, 60
Sort -4, -0.1, -2, 0.2, -0.06 in descending order.
0.2, -0.06, -0.1, -2, -4
Put -6, 54, -2, 4 in ascending order.
-6, -2, 4, 54
Sort -3, 29, 2/173, -1/2, 1/2 in descending order.
29, 1/2, 2/173, -1/2, -3
Put 2/3, -237/7, -0.3 in increasing order.
-237/7, -0.3, 2/3
Sort 1/6, 4, 83, 0.04, 2 in ascending order.
0.04, 1/6, 2, 4, 83
Sort 2/19, 3, -7, -93, -40 in ascending order.
-93, -40, -7, 2/19, 3
Put -4.23, -0.87, -2/7 in descending order.
-2/7, -0.87, -4.23
Put 6, -5, -92, 4, -0.5, 1 in decreasing order.
6, 4, 1, -0.5, -5, -92
Sort -5, -1, 1, -2, 90, 2 in ascending order.
-5, -2, -1, 1, 2, 90
Put -5, 1, -3, -1, 15175 in descending order.
15175, 1, -1, -3, -5
Put -3, -4/3, 199, 1, -11, -5 in descending order.
199, 1, -4/3, -3, -5, -11
Sort 21, -1, 160, 5, 1, 8 in decreasing order.
160, 21, 8, 5, 1, -1
Sort 4, -1, -1115514 in descending order.
4, -1, -1115514
Put -0.5, -0.06, -61.67 in decreasing order.
-0.06, -0.5, -61.67
Sort -6, -2/83, -0.3, -0.06.
-6, -0.3, -0.06, -2/83
Put -8, 30302, -4/5, 3, 3/2 in increasing order.
-8, -4/5, 3/2, 3, 30302
Sort 0.2, 13, -117, -3.
-117, -3, 0.2, 13
Sort -1268, 47, -2 in increasing order.
-1268, -2, 47
Sort 3, -8, 1, 2 in descending order.
3, 2, 1, -8
Sort 34/9, 1, 7974 in descending order.
7974, 34/9, 1
Put -423, -2, 29 in descending order.
29, -2, -423
Put 0.03, 393, 0.5, -2/9, -2, 3 in ascending order.
-2, -2/9, 0.03, 0.5, 3, 393
Put 0.01, 46.78, 2/5 in decreasing order.
46.78, 2/5, 0.01
Sort -4/5, 2714, -2/23, 4, -1/4 in descending order.
2714, 4, -2/23, -1/4, -4/5
Sort 0, 5, 4, 2, 50756.
0, 2, 4, 5, 50756
Sort -77, -22, 4, -4, -1, 2.
-77, -22, -4, -1, 2, 4
Sort -4/7, -0.4, -382/13, -99.
-99, -382/13, -4/7, -0.4
Put 0.04, -1/10, 2/525 in descending order.
0.04, 2/525, -1/10
Put 5, -5/2, 2/11, -1126/7 in descending order.
5, 2/11, -5/2, -1126/7
Sort -1/8, 2, 123, 68 in descending order.
123, 68, 2, -1/8
Sort -4, 5, 616, -33, -5.
-33, -5, -4, 5, 616
Put 3, -1, -3, 8698 in decreasing order.
8698, 3, -1, -3
Sort -96.3, -0.02, 4/5, 2 in descending order.
2, 4/5, -0.02, -96.3
Sort 16, 2, 9, 55 in descending order.
55, 16, 9, 2
Sort -17, -15, -11, 3, 1.
-17, -15, -11, 1, 3
Put -28, -5, -1, 0, 3, -46 in decreasing order.
3, 0, -1, -5, -28, -46
Put 38, -2, -9, -5, -231 in descending order.
38, -2, -5, -9, -231
Put 0.4, 5, 4, 498 in ascending order.
0.4, 4, 5, 498
Sort 32, 62, 17 in descending order.
62, 32, 17
Sort 1, -5, 36, -4, -42, 13.
-42, -5, -4, 1, 13, 36
Sort -565, -6, 1/5, -2/7 in ascending order.
-565, -6, -2/7, 1/5
Sort -11, -30, 16, -24 in ascending order.
-30, -24, -11, 16
Put -9, -2, -3, -0.5, 4, -4/19 in increasing order.
-9, -3, -2, -0.5, -4/19, 4
Put 4, 5, -1, -4, -59, 26 in ascending order.
-59, -4, -1, 4, 5, 26
Sort -52, 5, -1143 in descending order.
5, -52, -1143
Sort -5, -4, -1, -17, 65, 1 in ascending order.
-17, -5, -4, -1, 1, 65
Sort 5, -735, -70, -3, -1, 0 in increasing order.
-735, -70, -3, -1, 0, 5
Put -3, 2, -5, -108, -34 in decreasing order.
2, -3, -5, -34, -108
Sort 3, -8, 277/8, 4.
-8, 3, 4, 277/8
Put 12, 1454, 2/15 in descending order.
1454, 12, 2/15
Sort 0, -5, 8, 104972.
-5, 0, 8, 104972
Sort -5/17, -0.18, 2/5, -1/8.
-5/17, -0.18, -1/8, 2/5
Put -1, 2, 1, -1441 in increasing order.
-1441, -1, 1, 2
Sort -566, 1/5, -0.792 in increasing order.
-566, -0.792, 1/5
Sort -322, -107, -18 in increasing order.
-322, -107, -18
Put 0.518, -19/2, -4 in increasing order.
-19/2, -4, 0.518
Sort 2/11, 82, -0.2, -23 in decreasing order.
82, 2/11, -0.2, -23
Put 6, -2, 8, -1, 10, 3 in descending order.
10, 8, 6, 3, -1, -2
Sort 8, 1, -2778 in decreasing order.
8, 1, -2778
Put -3, -19, -5, -4, 14, 1 in ascending order.
-19, -5, -4, -3, 1, 14
Sort 18, 2, 4, -3, -1, -45 in decreasing order.
18, 4, 2, -1, -3, -45
Put -13, 48, 1, 3, 5, -3 in descending order.
48, 5, 3, 1, -3, -13
Put -8601, -2, -5, -1, -3 in decreasing order.
-1, -2, -3, -5, -8601
Put -5, -3, -4, -2, -119 in descending order.
-2, -3, -4, -5, -119
Sort -3, 371, -2.
-3, -2, 371
Sort -11, 1, -3, 0, -141.
-141, -11, -3, 0, 1
Put 0, 219, -2, -3, -9, 4 in descending order.
219, 4, 0, -2, -3, -9
Sort 6/799, -1, -27, -0.1, 4 in descending order.
4, 6/799, -0.1, -1, -27
Sort -0.04, 0.0572, -31 in ascending order.
-31, -0.04, 0.0572
Sort -8/39, -3/16, -4.
-4, -8/39, -3/16
Sort 5, 4, 31, -7, 29 in descending order.
31, 29, 5, 4, -7
Put 5, -104, -68, 7 in ascending order.
-104, -68, 5, 7
Sort -12, 8, -7/6 in decreasing order.
8, -7/6, -12
Put -251, -2, -1, 3/2, 4, -0.1 in decreasing order.
4, 3/2, -0.1, -1, -2, -251
Sort -4, -89, -6, 5, 0, -3 in descending order.
5, 0, -3, -4, -6, -89
Put 11.3, 0, 5, -4, -12, -2 in increasing order.
-12, -4, -2, 0, 5, 11.3
Sort 30, 0.2, -1, 1, -2/9, -9 in decreasing order.
30, 1, 0.2, -2/9, -1, -9
Sort -4, 2317, -5, -1, -2 in ascending order.
-5, -4, -2, -1, 2317
Put 1, 1253, 3, -5, 0, 4 in descending order.
1253, 4, 3, 1, 0, -5
Sort -1, 2, -337, -2, -54 in decreasing order.
2, -1, -2, -54, -337
Put 4879, -2, -0.4, -0.23 in ascending order.
-2, -0.4, -0.23, 4879
Sort -1, 10, -8, 3.
-8, -1, 3, 10
Sort 0.3, 0.08, 0, 4/7, 10/41 in descending order.
4/7, 0.3, 10/41, 0.08, 0
Sort -3754, -4, 1, -2, 1/3.
-3754, -4, -2, 1/3, 1
Put -7, -4, 1758 in descending order.
1758, -4, -7
Put -5/2, -3, -27/7, 4 in decreasing order.
4, -5/2, -3, -27/7
Sort -17, 1, -0.4, -0.43, -4 in ascending order.
-17, -4, -0.43, -0.4, 1
Sort -11, -4, 4, 0, -1, -24 in descending order.
4, 0, -1, -4, -11, -24
Sort -190, -1, -3.
-190, -3, -1
Put -2058, -23, -4 in increasing order.
-2058, -23, -4
Sort 0, 1, -138, -5 in decreasing order.
1, 0, -5, -138
Sort 0.14, 0.3, -2.335.
-2.335, 0.14, 0.3
Put -3, 6, -499, 5, 1 in ascending order.
-499, -3, 1, 5, 6
Sort 10/11, -2/3, 4/7, -2, 5, 1.2 in descending order.
5, 1.2, 10/11, 4/7, -2/3, -2
Sort -465.1, 0, 0.2, -6/5, -1, -1/4 in increasing order.
-465.1, -6/5, -1, -1/4, 0, 0.2
Put -2, -12, -739 in increasing order.
-739, -12, -2
Sort -1396, 2, -4.
-1396, -4, 2
Sort -4, 4, 5, 1, 11, 14.
-4, 1, 4, 5, 11, 14
Put 7.7, -0.5, 0.3, -16, 2, 0.7 in decreasing order.
7.7, 2, 0.7, 0.3, -0.5, -16
Put 2, -0.3, -4476 in ascending order.
-4476, -0.3, 2
Put -38722, -11, -1 in ascending order.
-38722, -11, -1
Sort -5, -1/5, -4, -0.06, -29 in descending order.
-0.06, -1/5, -4, -5, -29
Sort -2, 7878, -5, -25 in ascending order.
-25, -5, -2, 7878
Put -2, -218, -5, 3 in increasing order.
-218, -5 | {
"pile_set_name": "DM Mathematics"
} |
e s(f)?
False
Let j = -82 + 161. Is 23 a factor of j?
False
Let w(v) = 12*v**2 - 116*v + v**3 + 56*v + 2 + 57*v. Is w(-11) a multiple of 11?
False
Suppose 3*x = 4*x - 71. Is (-3)/(-27) + x/9 a multiple of 8?
True
Suppose -3*f = 4*f. Suppose d - 4*d + 390 = f. Does 27 divide d?
False
Let j(p) = p**3 - 4*p**2 + 3*p + 2. Let y be j(3). Suppose y*t = v + v - 36, 2*v - 4*t = 28. Is 4 a factor of v?
False
Suppose 8*a + 20 = 12*a. Suppose -4*n = -a*w - 114, 0 = 3*n + 2*n - 5. Is 8 a factor of w/77 + 116/14?
True
Suppose 5*v + 16 = -c, 3*v - 2*c = -8 + 1. Is ((-5 - -4) + -8)*v a multiple of 3?
True
Suppose v - 4 = -1, 3 = -3*s + v. Suppose 2*l = d - 16, s = 5*d - 3*d + 2*l - 26. Let f = d - -30. Is 22 a factor of f?
True
Let f be (2/4)/((-6)/(-2340)). Let i be 2/(-10) + (-26)/(-5). Suppose 4*m + g = 552 - 135, 0 = 2*m + i*g - f. Is m a multiple of 30?
False
Suppose -3*l + 16 = 4*d, 2*d = -2*l - 1 + 11. Suppose -2 = -v + n - 2*n, 0 = 2*n + l. Let c(a) = 7*a - 5. Is c(v) a multiple of 5?
False
Let j(o) = o**2 - 4*o. Let v be j(4). Suppose v = 8*q - 10*q + 48. Is 5 a factor of q?
False
Let u = -55 - -45. Does 22 divide 5/u + (-246)/(-4)?
False
Let a = -62 + 62. Suppose -3*r - 3*s + 27 = a, -2*r + 11 = 5*s - 4. Is r a multiple of 10?
True
Let r(v) = -v**2 - 13*v + 14. Let n(y) = -4*y**2 - 52*y + 56. Let q(l) = -l**2 + 8*l + 7. Let p be q(9). Let c(h) = p*n(h) + 9*r(h). Is c(-13) a multiple of 4?
False
Let q = -106 + 17. Let i = -257 - -132. Let z = q - i. Is 12 a factor of z?
True
Let l = -126 - -287. Is l a multiple of 7?
True
Let d = 194 - -4. Is d a multiple of 66?
True
Let t be (-219)/(-21) - 4/(-7). Let p = t + -10. Does 7 divide p + -2 + 1 - -7?
True
Is 2*(-899)/(-2)*2 a multiple of 74?
False
Let g = 21 - 13. Let z = g - 6. Suppose 12 = z*k - 0. Is k a multiple of 3?
True
Is ((-1690)/(-195))/(1/105) a multiple of 21?
False
Suppose -16 = -4*z + 5*l + 5, 3*l - 9 = -3*z. Suppose -5*o = -g - 202, -z*g - 67 = -3*o + 61. Let u = -15 + o. Is 25 a factor of u?
True
Suppose 0 = 7*v - 5*v. Suppose 0 = -4*o - 5*j + 20, -8 - 12 = -4*o - 4*j. Suppose -4 = 4*u - v*u, -o*u + 2 = i. Is 7 a factor of i?
True
Let o(i) = i**3 + 14*i**2 - 15*i + 4. Let f be o(-15). Suppose d - 4*v - 1 - 1 = 0, -3*v + 65 = f*d. Is 7 a factor of (-6)/(-21) + 94/d?
True
Is 6875/7 - (-67)/(-469) a multiple of 86?
False
Let f(q) = -q + 22. Let o be f(-10). Suppose 3*c = 3*u + o + 235, -3*u = 2*c - 198. Does 31 divide c?
True
Let q(x) = -7*x**3 + 2*x**2 - 1. Let b be q(1). Is (-5 + b)/(2*(-3)/12) a multiple of 2?
True
Let u be ((-8)/(-12))/(1/(-3)). Is 2 a factor of (u*7/(-4))/((-2)/(-4))?
False
Suppose -3*f - 26 - 59 = -s, -3*f + 9 = 0. Is s a multiple of 2?
True
Let o(n) be the first derivative of -n**2/2 + 3*n + 7. Let b be o(-9). Does 11 divide (-148)/(-6)*b/8?
False
Let r(u) = 5*u - 4. Let c be r(9). Suppose -c - 49 = -i. Does 17 divide i?
False
Let v be 1 - -105 - (2 - 0). Suppose 5*d - v = 501. Suppose -3*r + 2*k + 73 = k, -d = -5*r + k. Is 8 a factor of r?
True
Let d(c) = 22*c + 12. Is 10 a factor of d(9)?
True
Suppose -2*f + 60 = -n + 5*n, 5*n + 2 = f. Suppose -8*m = -10*m + f. Suppose 4*x - 145 - m = 0. Is x a multiple of 24?
False
Suppose -19*g + 1836 = -13*g. Does 23 divide g?
False
Suppose -424 = -2*y + 6*n, -n + 8 = n. Is y a multiple of 8?
True
Let f = 12 - 8. Suppose 4*o = 0, f*r - 4*o = r + 81. Does 10 divide r?
False
Let o(k) = 5*k - 12. Let q(p) = -2*p + 11. Let j be q(5). Let a(w) = 4*w**3 + w**2. Let g be a(j). Is o(g) a multiple of 13?
True
Let c = 12 - 27. Let q(g) = g**3 + 16*g**2 + 17*g + 17. Let k be q(c). Let j(v) = -4*v. Does 9 divide j(k)?
False
Let m(a) = 4 - 9 - 7 - 28*a - 6*a**2 + 4*a**2. Is 9 a factor of m(-12)?
True
Suppose o + 58 = -5*b, 2*b + 0*o - 5*o = -34. Is 27 a factor of 1/1*-9*b?
True
Let a(b) = b**2 + 9*b + 2. Suppose -i = -o + 6 + 3, -i - 2*o = 12. Does 3 divide a(i)?
True
Let d be (-6)/(-4) + (-484)/(-8). Suppose 0 = 5*m - 5*l - 160, -d = -2*m + 3*l - 0*l. Is m a multiple of 17?
True
Suppose 5*s + 15 = 5*p + s, -4*s = -2*p + 6. Is (-1510)/(-70) + p/7 a multiple of 13?
False
Let l = 1682 - -1990. Is l a multiple of 9?
True
Suppose 2*y - 55 = q - 5, 57 = -q - 5*y. Let n = 59 + q. Does 7 divide n?
True
Let k(z) = 27*z - 33. Does 5 divide k(4)?
True
Let l = 195 - 90. Is l a multiple of 11?
False
Let f be 4/14 - (-174)/(-21). Let n = f - -25. Is n a multiple of 2?
False
Suppose -5*l - 2*r + 250 = 0, -2*l = 2*l + 4*r - 200. Let b = l + -33. Is 17 a factor of b?
True
Let u = 266 - 68. Suppose s + s = u. Is 18 a factor of s?
False
Let d(o) = -2*o + 8*o**2 + 0 - o**2 + 4 + 2*o**2. Suppose 0 = -3*w - 0*t - 2*t + 8, 10 = -5*t. Is 36 a factor of d(w)?
False
Let q = -1111 - -3031. Does 15 divide q?
True
Suppose 0 = -105*d + 103*d + 592. Is d a multiple of 8?
True
Let n(u) = 38*u**3 - 8*u - 3. Let p = 19 - 8. Let o(h) = -13*h**3 + 3*h + 1. Let s(m) = p*o(m) + 4*n(m). Is 3 a factor of s(1)?
True
Let j = -39 + 42. Is 12/j + (-13)/(-1) a multiple of 2?
False
Suppose 2*r - y = 10 + 1, 22 = 5*r + 3*y. Suppose -2 = r*g - 12. Suppose 2*z - g*b - 34 = -0*b, 13 = z - 5*b. Is 6 a factor of z?
True
Suppose 2*z - 71 = -5*i, 0 = -3*i + z + z + 49. Is 5 a factor of i?
True
Suppose -2*s = -20 + 4. Let r = s + -7. Is -14 + 14 + (32 - r) a multiple of 13?
False
Let m(c) = 2*c**2 + 3*c - 14. Let y be m(-8). Let z = y - 58. Is 15 a factor of z?
False
Let j(q) = -q**3 - 17*q**2 + q + 24. Let b be j(-17). Suppose 5*o = b*o. Suppose -2*f = -5*k - 28 + 146, -3*k - 5*f + 77 = o. Is 21 a factor of k?
False
Suppose 29*t - 6803 - 12772 = 0. Is 27 a factor of t?
True
Suppose v - 4*f + 32 = -12, -3*f - 119 = 4*v. Let q = v - -29. Does 12 divide q*16/(-36)*27?
True
Suppose -3*w = 4*m - 1292, 4*m - 24*w = -29*w + 1292. Does 17 divide m?
True
Let u = -1709 + 3031. Does 13 divide u?
False
Let c(g) be the second derivative of -g**5/20 + 3*g**4/4 - 4*g**3/3 - 9*g**2/2 - 4*g. Let q be c(8). Let i = q - -34. Is i a multiple of 17?
False
Let v be -21 - (2 - (-2)/(-1)). Let o = v - -40. Does 18 divide o?
False
Does 4 divide 318*(21/9 - 2)?
False
Let s be -36*(-1)/(-2)*-3. Let u = -19 + s. Does 7 divide u?
True
Let h(d) = -6*d**3 - 5*d**2 + 9*d - 2. Does 53 divide h(-6)?
True
Let i(v) = v**2 + 5*v - 2. Let z be i(-6). Suppose 6 = -4*b + 2*n, z = b + 4*n - 8. Suppose b = 2*q, -5*q = 3*g - q - 84. Is 12 a factor of g?
False
Let k be -8 + 8 + (7 - 2). Suppose r + k = -0. Let a = r - -15. Does 4 divide a?
False
Let i(f) = f + 1. Let s(r) = -r**2 - 3*r - 11. Let u(d) = -4*i(d) - s(d). Let t be u(8). Is 18/t + 136/14 a multiple of 7?
False
Suppose 2*h + 12 = 4*h + 4*d, 0 = -3*h + 2*d - 6. Suppose h = 4*m - m - 357. Is 17 a factor of m?
True
Suppose -5*q - 411 = -3*g - 1226, 2*q = -3*g + 347. Let a = q - -101. Does 42 divide a?
False
Suppose 240 = 9*n - 156. Is n a multiple of 2?
True
Suppose 0*n + 1 = n + 5*w, -63 = -5*n + 4*w. Let k = 11 - n. Suppose k = f + f - 10. Does 2 divide f?
False
Is 22 a factor of 1154/3 + (-55)/132*4?
False
Let i be 3*(-3 - 1576/(-12)). Suppose i + 191 = 6*r. Is r a multiple of 16?
True
Let p(w) = -w**3 - w**2 + w. Let v(g) = g + 5. Let z be v(-6). Let s(a) = -2*a**3 - 11*a**2 + 4*a + 13. Let x(q) = z*s(q) + 3*p(q). Is x(6) a multiple of 9?
False
Let j(u) = 31*u + 41. Suppose -5*d = 2*q + 4 - 36, -4 = 2*d + 5*q. Is 17 a factor of j(d)?
True
Let f be (-6)/8 - 120/(-32). Suppose 3*t + 210 + 69 = 2*n, 418 = f*n - 4*t. Is n a multiple of 17?
False
Suppose 5*x - 39 - 66 = 0. Let d = x + 2. Let m = 40 - d. Is m a multiple of 17?
True
Suppose -3*v = -6*v + 5*w + 311, 4 = -w. Suppose v - 33 = 4*l. Is l even?
True
Let a(y) = 3*y + 10. Let p be -8 + (-1)/(1/(-4)). Let o be a(p). Is 23 a factor of (91/o)/(5/(-10))?
False
Let x = -542 + 787. Suppose -i + 85 = -x. Is i a multiple of 12?
False
Suppose -9216 = -36*o + 12*o. Is o a multiple of 16?
True
Suppose r + 4 - 6 = 0. Let f be (5 - -1)*(1 - r). Let j = 34 + f. Does 11 divide j?
False
Let s be 2/(2/(-13)) - 1. Let o be 7/((-49)/14)*14/4. Is (-62)/(-4) - o/s even?
False
Let k(j) = -j**3 + 18*j**2 + 10*j + 25. Let u be k(17). Suppose 2*y - 6*y + u = 0. Is y a multiple of 15?
False
Suppose -2*y - 70 = 3*y. Is 9 a factor of -4*1/y + (-61)/(-7)?
True
Let a(i) = i**3 - i**2 + 2*i + 3. Let d be a(-2). Let t = -107 + 76. Let q = d - t. Does | {
"pile_set_name": "DM Mathematics"
} |
erivative of 2 - 2 - 1 - p**x wrt p?
-2*p
Suppose -2*k + 0*k + 2 = -4*s, 0 = 2*s - 2*k + 6. Differentiate -s*h + 7*h - 6*h + 1 with respect to h.
-1
Suppose -2*i + 4 = -0*i. What is the derivative of 3*b**2 + 14*b - 14*b + i wrt b?
6*b
What is the second derivative of -127*c - c**3 + c**3 + 8*c**4 + 122*c wrt c?
96*c**2
Let z(b) be the third derivative of 5*b**8/336 + 5*b**4/24 - 8*b**2. Find the second derivative of z(j) wrt j.
100*j**3
Let q = 16 + -10. What is the third derivative of -f**2 + 16*f**6 - 35*f**6 + 22*f**q wrt f?
360*f**3
Let a(r) be the second derivative of -4*r**6/15 - 3*r**2/2 - 8*r. Find the first derivative of a(l) wrt l.
-32*l**3
Let b(a) = 33*a + 15. Let v(c) = 8*c + 4. Let n(u) = 2*b(u) - 9*v(u). Differentiate n(i) wrt i.
-6
Let p(k) = -5*k**3 + 5*k + 7. Let d(c) = -2*c**3 + 3*c + 4. Let m(a) = -5*d(a) + 3*p(a). What is the first derivative of m(n) wrt n?
-15*n**2
Let v = -12 - -17. Let m = v + -2. Find the second derivative of -m*g**4 + g - 2*g + g**4 wrt g.
-24*g**2
What is the third derivative of -3*s**4 - 2*s**4 + 5*s**2 + 5*s**4 + 3*s**4 wrt s?
72*s
Let k(r) be the second derivative of -1/21*r**7 + 0*r**2 + 0*r**6 + 0 + 0*r**5 - 1/12*r**4 + 0*r**3 + 2*r. Find the third derivative of k(d) wrt d.
-120*d**2
Find the second derivative of -21 - 14*x**3 + 9 - 12 + 4*x - 2*x + 2*x**5 wrt x.
40*x**3 - 84*x
Let c(f) be the second derivative of -f**5 + 47*f**2/2 + 9*f. Find the first derivative of c(s) wrt s.
-60*s**2
Let o(p) be the third derivative of p**8/28 + p**5/60 - 15*p**2. Find the third derivative of o(n) wrt n.
720*n**2
Let o(n) = -5*n**3 + 2*n**2 - 3*n + 2. Let m(j) = -5*j**3 + 3*j**2 - 4*j + 3. Let i(s) = 2*m(s) - 3*o(s). Find the second derivative of i(a) wrt a.
30*a
Let f(t) be the first derivative of 4*t**5/5 + 2*t**3/3 - 2. What is the third derivative of f(i) wrt i?
96*i
Let r(p) = -16*p**4 + 5*p**3 + 11*p + 5. Let o(h) = h**4 - h**3 - h - 1. Let k(l) = 5*o(l) + r(l). Find the second derivative of k(y) wrt y.
-132*y**2
Let j(f) be the first derivative of 2*f**6/3 - 7*f**3/3 - 10. What is the third derivative of j(g) wrt g?
240*g**2
Let w be (1/(-2))/((-3)/72). Suppose 0 = 3*d + w, -7 = -3*n + d + 9. What is the second derivative of -6*y + n*y + 0*y - y**5 wrt y?
-20*y**3
Let v(z) be the second derivative of 19*z**5/20 - z**3/6 + 23*z. What is the second derivative of v(r) wrt r?
114*r
Let h(k) be the third derivative of k**6/60 + k**4/3 + k**3 + 6*k**2. Let u(w) be the first derivative of h(w). What is the first derivative of u(r) wrt r?
12*r
Let c be 0/3*(-1 - 0). Suppose c = -p - 3*q - 4, -2*q - 4 = -4*p + 8. What is the first derivative of p*z**2 + 2 + 0 - 3 wrt z?
4*z
Let y(o) be the second derivative of -o**7/70 - 2*o**3/3 + o**2/2 - 8*o. Let m(z) be the first derivative of y(z). Differentiate m(r) with respect to r.
-12*r**3
Let l be (1 + 15/(-6))/(6/(-16)). Let s(v) be the first derivative of 3/2*v**2 + 1/4*v**l + 0*v**3 + 0*v - 2. Find the second derivative of s(p) wrt p.
6*p
Find the second derivative of -10*q - 4*q**4 + 5*q**4 - 5*q**4 wrt q.
-48*q**2
Let u(c) = 0 + 2*c + 6 - c. Let p be u(-4). Differentiate p - 2 + 3 - 2*v**2 with respect to v.
-4*v
Let y(g) be the second derivative of 9*g**4/4 + 17*g**3/6 + 4*g. Find the second derivative of y(a) wrt a.
54
Let s(k) be the second derivative of -k**6/30 + k**3/2 - 6*k. Find the second derivative of s(n) wrt n.
-12*n**2
Let f(r) = 61*r**5 - 3*r**4 + 3*r**3 + 2*r**2 - r. Let p(q) = -q**4 + q**3 + q**2. Let d(g) = -f(g) + 3*p(g). What is the third derivative of d(v) wrt v?
-3660*v**2
Let z(f) = -3*f**2 + 2*f. Let b(w) = w + 1. Let u(v) = -6*b(v) + z(v). Let k(o) be the first derivative of u(o). What is the first derivative of k(n) wrt n?
-6
Find the third derivative of -4*m**2 + 7*m**3 + m**2 + m**2 + m**2 wrt m.
42
Suppose -3*d + 5*h = -1, 4*d = -h + 5*h + 4. Let t(i) = -i + 4. Let a be t(4). Find the third derivative of 0*f**2 - 3*f**4 - 2*f**d + a*f**4 wrt f.
-72*f
Let a(m) be the second derivative of m**8/560 + m**4/8 + m**3/2 + 4*m. Let b(z) be the second derivative of a(z). Differentiate b(j) wrt j.
12*j**3
Let m(a) be the second derivative of 11*a**7/21 + 35*a**3/6 + 27*a. What is the second derivative of m(o) wrt o?
440*o**3
Let t(u) = 18*u**5 + 6*u**2 + 23*u + 6. Let c(p) = 36*p**5 + 11*p**2 + 47*p + 11. Let x(d) = -6*c(d) + 11*t(d). What is the second derivative of x(m) wrt m?
-360*m**3
Suppose 0 = -5*h - 2 + 12, 0 = 5*u - h + 2. What is the second derivative of -3*i**2 + u*i - 2*i + i**2 wrt i?
-4
Suppose -2*g + 0*g + 7 = q, -2*g + q + 17 = 0. Let w be 14/g - 6/(-9). Find the second derivative of 3*x + 2*x**3 - w*x**3 - 2*x wrt x.
-6*x
What is the third derivative of -191*n**3 + 43*n**2 + 191*n**3 + 13*n**4 + 14*n**4 wrt n?
648*n
Let t(o) be the first derivative of o**8/336 - o**5/60 - o**2/2 - 2. Let c(a) be the second derivative of t(a). Find the third derivative of c(x) wrt x.
60*x**2
Let p be (-1 - -1)*(-15 + 14). Suppose -5*j + 5 + 5 = 0. Differentiate p*s**4 - 2*s**4 + j - 5 with respect to s.
-8*s**3
What is the second derivative of -7*i**5 - 10*i + 10*i - 3*i wrt i?
-140*i**3
Let d(b) be the second derivative of -7*b**6/30 - 7*b**2/2 + 9*b. Differentiate d(l) with respect to l.
-28*l**3
Let h(d) = 1. Let c(v) = 2 + 2 + v + 2. Let l(j) = -6*j - 5. Let o be l(-1). Let k(x) = o*c(x) - 5*h(x). What is the first derivative of k(a) wrt a?
1
Let t(w) = -2*w**2 - 2*w. Let l(y) = -y**2 - y. Let s(h) = 14*l(h) - 4*t(h). Find the second derivative of s(z) wrt z.
-12
Suppose -5*s = -0*s. Let t be (4 - 4) + 3 + s. Find the third derivative of 7*o**3 - 4*o**3 - t*o**3 + 4*o**4 - 3*o**2 wrt o.
96*o
Let s(o) = -o + 4. Let c be s(0). Find the second derivative of -7*k - k**4 + 3*k**4 + k**c wrt k.
36*k**2
Let c(n) be the second derivative of -n**10/10080 + n**7/504 + n**4/3 - 3*n. Let m(i) be the third derivative of c(i). Find the third derivative of m(f) wrt f.
-180*f**2
Let r = 4 - 1. Differentiate 1 - 3 - 5*i**r - 3 wrt i.
-15*i**2
What is the third derivative of 20*a**5 + 13*a**2 - 13*a**6 - 20*a**5 wrt a?
-1560*a**3
Let o(c) be the third derivative of -c**7/105 - 3*c**4/4 - 14*c**2. What is the second derivative of o(l) wrt l?
-24*l**2
Let m(n) = n**3 - n**2 + n - 1. Let z(o) = 10*o**3 - 2*o**2 + 2*o + 9. Let c(d) = 2*m(d) - z(d). Differentiate c(v) with respect to v.
-24*v**2
Suppose -x + 1 = -1. Suppose x*r - 3 = 1. What is the second derivative of 1 + 3*b**5 - 4*b - r + 1 wrt b?
60*b**3
Let a(h) be the third derivative of h**8/14 - h**5/20 + 27*h**2. Find the third derivative of a(g) wrt g.
1440*g**2
Let p(d) = -3*d**3 + d**2 - d - 1. Let y be p(-1). Find the first derivative of 2*j - y - 3 + 0*j + 9 wrt j.
2
Suppose 3*b = 4 + 2. Suppose -5*n = -j - 12, -b*j - 12 = -3*n - 3*j. What is the second derivative of -2*t + 3*t - t**3 - n*t wrt t?
-6*t
Let a(l) be the first derivative of 33*l**5/5 - 10*l**3/3 - l**2/2 - 1. Find the third derivative of a(u) wrt u.
792*u
Suppose -4*m + 2*m = 0. Let y(f) be the first derivative of -2/3*f**3 - f + m*f**2 + 2. What is the derivative of y(c) wrt c?
-4*c
Suppose r + 15 = 4*r. What is the third derivative of t**2 + 6*t**3 - r*t**2 - 3*t**3 wrt t?
18
Let n(m) = 16*m**4 - 11*m**3 + 11*m**2 - 6*m. Let s(r) = r**4 - r**3 + r**2 - r. Let t(l) = 2*n(l) - 22*s(l). Find the second derivative of t(z) wrt z.
120*z**2
Let i(y) be the first derivative of y**4/4 + 4*y**3/3 - 7. Find the third derivative of i(b) wrt b.
6
Let h(x) = 15*x**3 - 3*x**2 - 28*x + 3. Let s(d) = -14*d**3 + 4*d**2 + 29*d - 4. Let k(i) = 4*h(i) + 3*s(i). Find the second derivative of k(j) wrt j.
108*j
Let r(b) = b**3 - 6*b**2 - 3. Let g(k) = -1. Let a be 2/4*18/3. Let q(y) = a*g(y) - r(y). Find the third derivative of q(x) wrt x.
-6
Let w(d) be the second derivative of -3*d**3 - 10*d**2 + 2*d. Differentiate w(j) with respect to j.
-18
Let s(q) be the third derivative of -2*q**6/15 - 4*q**3 + 21*q**2. Differentiate s(n) with respect to n.
-48*n**2
Let p(q) = -4 - 4 + 5*q**2 + 3*q + 0. Let c(v) = -3*v**2 - 2*v + 5. Let b = -2 - -10. Let i(z) = b*c(z) + 5*p(z). What is the second derivative of i(f) wrt f?
2
Suppose -11 = -j + 3*p, -3*p = 5*j - p - 4. What is the first derivative of -3*n**j - 3*n**2 - 4 - 3*n**4 + 6*n**2 wrt n?
-12*n**3
Find the | {
"pile_set_name": "DM Mathematics"
} |
lify (sqrt(70)/(sqrt(80)/(sqrt(16)/sqrt(2))))**2.
7
Simplify (2*sqrt(228)*2)/(sqrt(36)/(sqrt(3) - (sqrt(6)/sqrt(2) + sqrt(3)))).
-4*sqrt(19)
Simplify sqrt(18)/(sqrt(24)/sqrt(4))*5.
5*sqrt(3)
Simplify (2*1*sqrt(128))**2.
512
Simplify (-2 + sqrt(81)/sqrt(3))**2.
-12*sqrt(3) + 31
Simplify (sqrt(891) + sqrt(891)*2 - sqrt(891))**2*5.
17820
Simplify (sqrt(1100) - (0 + sqrt(1100))**2) + -2 + -2.
-1104 + 10*sqrt(11)
Simplify (sqrt(10) - sqrt(20)/sqrt(2)*5)/(sqrt(20)/(sqrt(10) + sqrt(90))).
-16*sqrt(5)
Simplify -2*sqrt(81)/sqrt(3) + sqrt(36)/(1*(sqrt(12) + -2*sqrt(12))).
-7*sqrt(3)
Simplify 6*(sqrt(176) + -1) + -2.
-8 + 24*sqrt(11)
Simplify (4 + (sqrt(847) + 1 - sqrt(847))*-1)**2.
9
Simplify sqrt(30)/sqrt(6) + 1 + 3 + 0.
sqrt(5) + 4
Simplify -4 + -3 + (sqrt(14)/sqrt(2))**2 + sqrt(28) + 1.
1 + 2*sqrt(7)
Simplify (sqrt(500) + sqrt(500)*-1 + 0)**2.
0
Simplify 1 + sqrt(98) + -4.
-3 + 7*sqrt(2)
Simplify (2 + sqrt(475) + -2)**2 + 0.
475
Simplify sqrt(16)/(sqrt(8) + sqrt(8) + sqrt(200)*-1).
-sqrt(2)/3
Simplify (sqrt(156) + (sqrt(156) - ((sqrt(156) - -5*(2*sqrt(156) - sqrt(156))) + sqrt(156))))/(sqrt(48) + sqrt(48)*-1 + sqrt(48)).
-5*sqrt(13)/2
Simplify ((sqrt(120)/sqrt(3))/sqrt(4))/(-1*1*sqrt(5)).
-sqrt(2)
Simplify sqrt(110)/(-2*sqrt(810)).
-sqrt(11)/18
Simplify (-1 + sqrt(475) + sqrt(475) - sqrt(19))**2 - (5 + 1 + sqrt(19)).
-19*sqrt(19) + 1534
Simplify 1 + sqrt(80) + 6*sqrt(30)/sqrt(6).
1 + 10*sqrt(5)
Simplify (-1*(sqrt(11) - (0 + sqrt(11) + 2) - (sqrt(11) - (sqrt(11) - sqrt(121)/(sqrt(44)/sqrt(4))))))**2.
4*sqrt(11) + 15
Simplify sqrt(2448) + 1*(sqrt(2448) + 1*sqrt(2448)) - (sqrt(2448) + 0 + -4).
4 + 24*sqrt(17)
Simplify (-1*(sqrt(539) - (sqrt(539) + (1 + sqrt(539) + -1 - sqrt(539)) + sqrt(539) - sqrt(539)))*-3)**2.
0
Simplify ((sqrt(80) - (sqrt(80) + -2)) + sqrt(80) + 0 + 4 + (sqrt(80) - sqrt(80)*-1) + sqrt(80))**2.
192*sqrt(5) + 1316
Simplify ((sqrt(51) + sqrt(204))/sqrt(3))**2*1.
153
Simplify (sqrt(22)/sqrt(2) + 0)**2 + 5.
16
Simplify (-5 + -3*(sqrt(252) + 0))**2.
180*sqrt(7) + 2293
Simplify -3 + -3 + sqrt(49)/sqrt(7).
-6 + sqrt(7)
Simplify (sqrt(136) + -4*3*sqrt(136))/((-3*sqrt(96))/sqrt(12)).
11*sqrt(17)/3
Simplify (-1*sqrt(143)*-1 - sqrt(143))/(sqrt(275)*1).
0
Simplify 5*((sqrt(1539) - (sqrt(1539) - (1 + sqrt(1539)))) + 5 + sqrt(1539))**2 + -1.
1080*sqrt(19) + 30959
Simplify sqrt(12)/sqrt(36) - sqrt(3)*1*3.
-8*sqrt(3)/3
Simplify -4 + (sqrt(7) - sqrt(14)/sqrt(2)*1).
-4
Simplify (sqrt(63)*-2 - (sqrt(7) - (sqrt(7)*-1 + -5)))**2 - sqrt(14)/sqrt(162).
719*sqrt(7)/9 + 473
Simplify sqrt(16)/(sqrt(8) - sqrt(96)/sqrt(48)).
2*sqrt(2)
Simplify sqrt(72) + (sqrt(72) - (sqrt(72) - ((sqrt(72) + sqrt(72) + -1)**2 + 5))).
-18*sqrt(2) + 294
Simplify (sqrt(567) + (1*sqrt(567))**2 + -1*sqrt(343))*-2.
-1134 - 4*sqrt(7)
Simplify sqrt(405) - (0 + sqrt(405) + 3)**2.
-414 - 45*sqrt(5)
Simplify 0 + sqrt(833) + -1 + sqrt(17) + -2.
-3 + 8*sqrt(17)
Simplify (sqrt(288)*-1)/(sqrt(486)*-1).
4*sqrt(3)/9
Simplify sqrt(153) + -2 - (-5 + sqrt(2448)).
-9*sqrt(17) + 3
Simplify 4*(2*sqrt(104))/sqrt(8).
8*sqrt(13)
Simplify (1*(sqrt(70) + sqrt(70) + sqrt(70)*1 + sqrt(70) + sqrt(70) + sqrt(70)))/((sqrt(120)*2)/sqrt(12)).
3*sqrt(7)
Simplify ((-2*sqrt(726) + sqrt(726))/(sqrt(3)*-1*4))**2*-6.
-363/4
Simplify ((sqrt(1008)*4 + -5)**2 - sqrt(1008)) + sqrt(1008).
-480*sqrt(7) + 16153
Simplify -3 + (-3 + sqrt(13) + 0 + sqrt(13) - (sqrt(468)*-1 - sqrt(13))).
-6 + 9*sqrt(13)
Simplify -2*(sqrt(17) - -1*(4 + sqrt(17))).
-4*sqrt(17) - 8
Simplify (-1*sqrt(500))**2 + (5 + sqrt(45))**2.
30*sqrt(5) + 570
Simplify (sqrt(20) + 2*(sqrt(20) + (-3*sqrt(20) - sqrt(20))))/sqrt(4).
-5*sqrt(5)
Simplify sqrt(95)/(sqrt(5) + sqrt(15)/sqrt(3)) - (sqrt(38)/sqrt(2)*3 - sqrt(19))**2 - (sqrt(57)/sqrt(3)*5 + (2*sqrt(19) + -5)**2).
-177 + 31*sqrt(19)/2
Simplify sqrt(88)/(sqrt(648) - (sqrt(648) + (sqrt(648) + sqrt(648)*1 - sqrt(648))) - sqrt(648)).
-sqrt(11)/18
Simplify ((sqrt(637) + 0 - sqrt(637)) + sqrt(637))**2 + 4.
641
Simplify ((sqrt(136)*-1)/sqrt(4) - sqrt(34))/(sqrt(6)/sqrt(3)*1).
-2*sqrt(17)
Simplify (sqrt(143)/sqrt(44)*-1)**2 - -1*(sqrt(468) + -1 + sqrt(13))**2.
-14*sqrt(13) + 2565/4
Simplify 2 + (sqrt(605) - (0 + sqrt(605) + sqrt(605))) + (sqrt(605) - (sqrt(605) - ((-1*(-1 + sqrt(605)) - sqrt(605)) + sqrt(605)))).
-22*sqrt(5) + 3
Simplify -1*(sqrt(156)/(sqrt(36)/sqrt(3)*6))**2.
-13/36
Simplify (sqrt(396) - (sqrt(396) + 2))**2*-6*-2.
48
Simplify sqrt(36)/(sqrt(60)/(sqrt(5)*-2)).
-2*sqrt(3)
Simplify (sqrt(176) - (2 + sqrt(176))**2*-6)*-1.
-1080 - 100*sqrt(11)
Simplify 6*(sqrt(162) - (sqrt(162) + 1 + -3)).
12
Simplify (sqrt(77)/(sqrt(528)/sqrt(3) + sqrt(11) - sqrt(11)))**2.
7/16
Simplify ((sqrt(3) + sqrt(3)*-1)*-4)**2 + (4 + 1 + sqrt(3) - sqrt(3)).
5
Simplify (sqrt(19) - (sqrt(171)*2)**2)*4.
-2736 + 4*sqrt(19)
Simplify sqrt(11) + (-1 + 3*sqrt(11) - sqrt(11)) - (((sqrt(11) - (sqrt(11) + sqrt(275))) + sqrt(11))**2 + -2 + sqrt(11)).
-175 + 2*sqrt(11)
Simplify (-2 + sqrt(117)*2)**2.
-24*sqrt(13) + 472
Simplify 4 + sqrt(468) + -2 + sqrt(468).
2 + 12*sqrt(13)
Simplify sqrt(39)/(sqrt(3) + sqrt(27)/(sqrt(72)/sqrt(8))).
sqrt(13)/2
Simplify -5*((sqrt(2) + (sqrt(60)/sqrt(3) + sqrt(20))/sqrt(10))**2 + 1 + sqrt(32)).
-95 - 20*sqrt(2)
Simplify ((sqrt(102)*3)/sqrt(6) - sqrt(51)/(sqrt(3)*2))**2.
425/4
Simplify -2*(sqrt(1331)*4 - sqrt(1331)).
-66*sqrt(11)
Simplify (-2*(0 + sqrt(475)))**2.
1900
Simplify (-1 + sqrt(208) + 1)**2 + 2 + -1*sqrt(208).
-4*sqrt(13) + 210
Simplify ((-2 + sqrt(11))*-4*5*2)**2.
-6400*sqrt(11) + 24000
Simplify -6*sqrt(8) + -5*-1*sqrt(2) + -2 + -5.
-7*sqrt(2) - 7
Simplify ((sqrt(825) - 2*sqrt(825)) + sqrt(825) + sqrt(33))/(sqrt(3) + (sqrt(12)*2)/sqrt(4)).
sqrt(11)/3
Simplify ((sqrt(832) + (sqrt(832) + (-3 + sqrt(832) - sqrt(832)) - sqrt(832)))**2 + (sqrt(13)*-3)**2 + 4)*-3.
-2886 + 144*sqrt(13)
Simplify (sqrt(13) + (-5*sqrt(130))/sqrt(10) + (sqrt(65)/(sqrt(5)*4) - sqrt(13)))**2.
4693/16
Simplify (-2 + -1 + sqrt(117) - 1*-1*sqrt(117))**2.
-36*sqrt(13) + 477
Simplify (((sqrt(70) - (sqrt(70)*2 + sqrt(70))) + sqrt(70))*-3)/sqrt(10) - (2 + (sqrt(7) - 1*sqrt(175))**2).
-114 + 3*sqrt(7)
Simplify (((sqrt(198)*2 + sqrt(198))/sqrt(9) + sqrt(22) + sqrt(22))/sqrt(11))**2.
50
Simplify (sqrt(192) + (-2 + sqrt(192) + sqrt(192))**2)*3 + -2.
-168*sqrt(3) + 2314
Simplify (sqrt(5200)*-3 + -3 + sqrt(5200) - sqrt(5200))**2.
360*sqrt(13) + 46809
Simplify (sqrt(99) + -3 - (sqrt(88) + -1*sqrt(88))/sqrt(8))*4.
-12 + 12*sqrt(11)
Simplify sqrt(363)*1 + -2*sqrt(3) + 4.
4 + 9*sqrt(3)
Simplify 4*2*sqrt(19) + sqrt(76)/sqrt(4)*5.
13*sqrt(19)
Simplify (sqrt(65)/(1*sqrt(5)) + -1)**2*5.
-10*sqrt(13) + 70
Simplify ((sqrt(264)*2)/sqrt(6))/sqrt(576).
sqrt(11)/6
Simplify sqrt(114)/sqrt(150) + (sqrt(114)*-1)/sqrt(6).
-4*sqrt(19)/5
Simplify sqrt(132)/(sqrt(12)*-2)*3*-1 + 5.
3*sqrt(11)/2 + 5
Simplify sqrt(153)/(sqrt(9) + sqrt(45)/sqrt(5)) - (2 + sqrt(17)*-3 + sqrt(17)).
-2 + 5*sqrt(17)/2
Simplify -1*(sqrt(539) - sqrt(539)*2)*2.
14*sqrt(11)
Simplify ((-2*sqrt(42))/sqrt(2))/(5*sqrt(7)*1).
-2*sqrt(3)/5
Simplify sqrt(60)/(-1*sqrt(60)/sqrt(5)).
-sqrt(5)
Simplify 3*(sqrt(171) + 2)**2 + 4.
36*sqrt(19) + 529
Simplify sqrt(52)*4*6.
48*sqrt(13)
Simplify sqrt(9)/(-2*sqrt(3)) - (1 + sqrt(108)).
-13*sqrt(3)/2 - 1
Simplify (-4 + sqrt(34)/sqrt(2) + sqrt(153)/sqrt(144))**2.
-10*sqrt(17) + 681/16
Simplify (-2 + (-2*sqrt(320) + sqrt(320) - sqrt(320) - sqrt(320)))**2.
96*sqrt(5) + 2884
Simplify -6*(sqrt(24) + ((2*sqrt(240) - sqrt(240) - sqrt(240)) + sqrt(240))/sqrt(10))/(sqrt(128)*1).
-3*sqrt(3)
Simplify (2*sqrt(1300)*6 - (-2 + 1*(sqrt(13) + sqrt(39)/sqrt(3))))**2.
472*sqrt(13) + 181016
Simplify sqrt(637) + 1 - (3*(sqrt(325) + sqrt(13) + sqrt(13)))**2.
-5732 + 7*sqrt(13)
Simplify ((sqrt(68)*4)**2 + sqrt(17) - sqrt(17)) + (sqrt(612) + 1 + sqrt(612) - sqrt(17))**2.
22*sqrt(17) + 3146
Simplify -3*sqrt(22)/(sqrt(2)*-3).
sqrt(11)
Simplify sqrt(6)/sqrt(48) - (2 + sqrt(8)/sqrt(4)).
-2 - 3*sqrt(2)/4
Simplify (sqrt(637) - ((sqrt(637) + sqrt(637)*2)**2 - sqrt(637)))*5 - (2 + (sqrt(637) - sqrt(637)*1)).
-28667 + 70*sqrt(13)
Simplify (sqrt(4)/sqrt(2) + sqrt(2))**2*1 - (3 + (-1 + sqrt(2))**2).
2 + 2*sqrt(2)
Simplify sqrt(18)/(sqrt(150) - -1*sqrt(150)).
sqrt(3)/10
Simplify ((sqrt(110) + -1*sqrt(110) + sqrt(110))*3)/(5*-2*sqrt(10)).
-3*sqrt(11)/10
Simplify ((-1*sqrt(108) - sqrt(108))*-1 | {
"pile_set_name": "DM Mathematics"
} |
greatest common divisor of 1937024 and 144892?
148
What is the greatest common factor of 130415080 and 5048?
5048
Calculate the greatest common divisor of 613613826 and 4401.
4401
Calculate the greatest common factor of 4055942 and 10807.
107
What is the highest common divisor of 8742 and 4200390?
282
Calculate the greatest common divisor of 5840 and 192640576.
1168
Calculate the greatest common divisor of 69006 and 301134.
186
What is the highest common divisor of 374339 and 1696?
53
Calculate the highest common factor of 26384 and 20144.
16
Calculate the highest common divisor of 318 and 22008939.
159
Calculate the greatest common factor of 16672 and 126248.
8
Calculate the highest common divisor of 13 and 7169.
1
Calculate the greatest common divisor of 1824 and 92256.
96
Calculate the greatest common factor of 448317165 and 492.
123
What is the greatest common divisor of 1373705 and 4715?
205
Calculate the greatest common divisor of 26261156 and 94.
94
Calculate the greatest common divisor of 24669735 and 25125.
1005
Calculate the greatest common factor of 6760 and 450840.
520
Calculate the highest common divisor of 9 and 3780111.
3
Calculate the highest common factor of 16017019 and 36859.
1189
What is the highest common factor of 951102 and 206?
206
Calculate the highest common factor of 10350 and 1857845700.
10350
Calculate the greatest common factor of 144 and 35443.
1
Calculate the highest common divisor of 18912 and 2244027.
591
What is the greatest common factor of 515753 and 7?
7
Calculate the greatest common divisor of 489018658 and 1844.
922
What is the greatest common factor of 3051300 and 7350?
1050
What is the highest common divisor of 42986636 and 9786?
3262
Calculate the greatest common divisor of 12108415 and 6935.
95
What is the greatest common divisor of 1060565 and 157770?
8765
What is the highest common divisor of 10338510 and 98?
98
What is the greatest common factor of 394 and 1648455418?
394
Calculate the highest common divisor of 463386 and 232932.
2478
Calculate the highest common divisor of 11261526 and 534.
534
Calculate the highest common factor of 1197796 and 7564.
244
Calculate the highest common factor of 3028155 and 10.
5
What is the greatest common factor of 616 and 109299806?
154
Calculate the greatest common factor of 41726772 and 459.
459
Calculate the greatest common divisor of 1797772 and 5980.
92
Calculate the greatest common divisor of 2997 and 657099.
27
What is the greatest common factor of 20250 and 44943525?
675
What is the greatest common divisor of 3465980 and 3325?
665
What is the greatest common factor of 379280511 and 1548?
387
What is the greatest common factor of 1233 and 32172532?
137
Calculate the highest common factor of 14 and 237269410.
14
What is the greatest common factor of 1683 and 153087?
33
Calculate the greatest common factor of 112112 and 28886858.
2002
Calculate the highest common factor of 1570 and 2380087030.
1570
What is the highest common factor of 58151880 and 7080?
120
What is the greatest common divisor of 316 and 6846061?
79
What is the highest common divisor of 288 and 99328?
32
What is the greatest common factor of 274467609 and 26?
13
Calculate the highest common factor of 172316 and 105876944.
7492
Calculate the highest common divisor of 2378 and 10382.
58
What is the highest common divisor of 4581 and 2144417?
509
What is the greatest common divisor of 52332 and 19604564?
2492
Calculate the highest common divisor of 1442 and 599914.
14
Calculate the highest common factor of 2023 and 8508160.
289
Calculate the highest common factor of 14300 and 89958440.
2860
What is the highest common factor of 4627 and 58824373?
661
What is the greatest common divisor of 12165256 and 245328?
2152
Calculate the greatest common divisor of 64 and 51805856.
32
Calculate the greatest common factor of 276243179 and 6085.
1217
Calculate the highest common factor of 5194 and 17992758.
742
What is the highest common factor of 15488280 and 972?
108
Calculate the highest common divisor of 15 and 3430811535.
15
What is the highest common divisor of 123147872 and 608?
32
What is the highest common factor of 1188 and 408364?
44
Calculate the highest common divisor of 34446791 and 133.
19
What is the highest common factor of 3124078 and 10858?
178
Calculate the greatest common divisor of 890460360 and 90.
90
Calculate the greatest common divisor of 49198644 and 1188.
1188
What is the highest common factor of 2159 and 1025369552?
2159
Calculate the greatest common factor of 3971 and 63151.
11
Calculate the highest common factor of 143 and 65355862.
143
Calculate the greatest common divisor of 1382846 and 92850.
1238
Calculate the greatest common divisor of 538717 and 157619.
89
Calculate the highest common divisor of 40494636 and 6006.
546
Calculate the greatest common divisor of 209874873 and 3354.
1677
What is the greatest common factor of 283808 and 3559003?
1267
Calculate the greatest common divisor of 3054 and 916709.
509
Calculate the greatest common factor of 432 and 6192128.
16
Calculate the highest common factor of 27951 and 567.
21
What is the highest common divisor of 436104 and 32346?
54
Calculate the highest common factor of 693 and 45210891.
33
What is the highest common factor of 138 and 138590042?
46
Calculate the greatest common factor of 928 and 653084.
4
What is the highest common factor of 521352106 and 1034?
1034
Calculate the greatest common factor of 300610 and 88876.
2614
Calculate the greatest common divisor of 17820950 and 20.
10
What is the highest common factor of 699924 and 28543?
1241
Calculate the highest common divisor of 3855565 and 2485.
35
Calculate the greatest common factor of 87673 and 27623.
1201
What is the highest common factor of 81945609 and 393?
393
What is the greatest common factor of 110675203 and 2389?
2389
Calculate the greatest common factor of 57 and 27403301.
19
What is the highest common factor of 284916646 and 4855?
971
Calculate the greatest common divisor of 35800 and 146310125.
4475
Calculate the greatest common divisor of 40345620 and 49.
49
What is the highest common divisor of 363776 and 8689415?
1421
What is the highest common divisor of 45 and 402565095?
45
Calculate the greatest common divisor of 3196347 and 2192.
137
What is the greatest common divisor of 428432 and 816?
16
What is the greatest common divisor of 43690 and 1262845?
85
Calculate the greatest common divisor of 14431716 and 546.
78
Calculate the highest common factor of 408158 and 7429.
437
What is the highest common factor of 4 and 3172828?
4
What is the greatest common divisor of 1658472 and 12120?
24
Calculate the greatest common divisor of 714 and 104844066.
102
Calculate the highest common factor of 11268 and 54504.
36
Calculate the highest common divisor of 4153095 and 9810.
45
Calculate the greatest common factor of 286 and 62984584.
26
Calculate the highest common divisor of 2882745 and 3525.
705
What is the greatest common factor of 70393419 and 5319?
1773
What is the highest common factor of 4300 and 5921444?
172
Calculate the highest common divisor of 25747875 and 729.
81
What is the highest common factor of 313 and 370?
1
Calculate the highest common divisor of 42104 and 661048.
152
What is the highest common factor of 90 and 7279875?
45
What is the greatest common factor of 2354245803 and 2821?
2821
What is the greatest common divisor of 2 and 13248374?
2
Calculate the highest common factor of 591693 and 134493.
381
What is the greatest common factor of 140 and 16783340?
140
Calculate the highest common factor of 122237 and 15097.
487
What is the greatest common factor of 539301 and 259?
7
Calculate the greatest common divisor of 67 and 567781450.
67
What is the highest common divisor of 118 and 10630974?
118
What is the greatest common factor of 65481 and 8658?
39
What is the highest common divisor of 298628 and 4961?
121
What is the greatest common divisor of 32 and 3234088?
8
What is the highest common divisor of 353139 and 191754?
159
Calculate the highest common factor of 135180 and 5568.
12
Calculate the highest common factor of 11799 and 29587959.
3933
Calculate the highest common factor of 21315 and 407160.
435
Calculate the greatest common d | {
"pile_set_name": "DM Mathematics"
} |
pose -149*p = -146*p - 525. What is the hundreds digit of p?
1
Let r = -9 - -13. Suppose 1 = 3*k - 4*k - r*h, 1 = -k + h. What is the tens digit of 1 + -2 - k*14?
1
Let k(z) = -z - 5. Let v be k(-8). Suppose a - 3*x = -4*a + 53, -5*x + 59 = v*a. What is the tens digit of a?
1
Suppose 0 = 3*r + r - 180. What is the tens digit of r?
4
Suppose -2*d - 2*d = -b + 136, -5*d - 4*b - 170 = 0. Let p = 63 + d. What is the tens digit of p?
2
Suppose 138 = 3*r - 309. What is the tens digit of r?
4
Let o = 23 - 20. What is the tens digit of (9/o - -5)*5?
4
Suppose -4*g + 5 = -3*y, -y = g - 2*g + 1. Suppose q - w + 3 = -0, g*w = 10. Let j = 9 - q. What is the units digit of j?
7
Let j(w) = w**3 + 3*w**2. Let z be j(-3). Suppose -2*a + 12 = -z*a. What is the units digit of a?
6
Suppose 2*f + 49 = 5*h, -h - 4*f + 11 = -5*f. Suppose 2*w = 17 + h. What is the tens digit of w?
1
Suppose -6*m = 4*j - 2*m, -3*j + 3*m + 18 = 0. Let v(z) = -z. Let u be v(-2). What is the units digit of 30*(u - 5/j)?
0
Suppose 2*q = 1 + 33. Suppose 5*k + q - 42 = 0. What is the units digit of k?
5
Let m = 143 - 47. What is the tens digit of ((-1)/3)/((-2)/m)?
1
Let u(v) be the third derivative of v**4/12 + v**3/6 - 3*v**2. What is the units digit of u(4)?
9
Let o = 35 - 8. What is the units digit of o?
7
Suppose -3*c + 0*s + 41 = 2*s, -12 = -3*s. What is the units digit of (-2)/c + 670/55?
2
Suppose 0 = -2*k + 2*g + 8, 5*g = k + 2*g - 2. Let w(u) = u + 0*u - k - 2*u. What is the units digit of w(-6)?
1
Let m = -4 - -69. What is the tens digit of m?
6
Let y(l) = l**2 - 4*l - 7. Let h be y(5). Let o be 5 + -1 + 3 + h. Suppose -o*w + 32 = -w. What is the units digit of w?
8
Suppose -3*b - 4 = -19. What is the units digit of b?
5
Let x = 5 - 3. Suppose 2*b - 5*j = -x*b + 15, -2*j = -4*b + 18. Suppose -b*s + 10 = -10. What is the units digit of s?
4
Let d = -2 + 26. What is the units digit of d?
4
Let a = -11 + 16. What is the units digit of a?
5
What is the hundreds digit of (-200)/15*(-171)/12?
1
Let o(z) be the second derivative of -z**3 + 2*z**2 + 3*z. What is the tens digit of o(-2)?
1
Let k = 13 + 148. What is the units digit of k?
1
Let q = 7 + -3. Suppose -5*s + 73 = -0*r + q*r, -3*s + 54 = -r. What is the units digit of s?
7
Let m(h) = h**3 + 5*h**2 + 4. Let j be m(-5). Suppose 2*y + 5*r - 18 = 0, -20 = -4*y + 2*y - j*r. What is the tens digit of y?
1
Let c(y) = -2 + y + 3 + 1 - y**3 + 6*y**2. Let n be (-31)/(-5) - 1/5. What is the units digit of c(n)?
8
Suppose -4*m + 26 = 4*o - 58, 5*m + 21 = o. What is the tens digit of o?
2
Let m(p) = -21*p + 3. Let u be m(-3). Suppose f = 4*f - u. What is the tens digit of f?
2
Suppose 3*h + 180 = 4*q, -5*q - 2*h = -2*q - 135. What is the tens digit of q?
4
What is the tens digit of (-1 + 3)/((-8)/(-136))?
3
Let y(g) = -6*g + 10. What is the tens digit of y(-3)?
2
Let k = -22 - -24. Suppose 4*m = -k*s + 52, -s = 3*m - 0*m - 28. What is the tens digit of s?
2
Suppose 0 = 2*y - 3*y - 4. What is the units digit of 4/(-8)*y/2?
1
Suppose 500 = 3*v + 146. What is the hundreds digit of v?
1
Let t(f) = f**3 + 5*f**2 - 7. Let c be t(-5). Let r(w) = -w**2 - 7*w - 1. Let x be r(c). What is the units digit of -7*-2*x/(-2)?
7
Suppose 20 = 4*z - 3*z. Suppose -4*u = 4*a - 2*a - z, -2*u + 22 = 4*a. What is the units digit of u?
3
Let o = -10 + 16. Let t = o - 5. What is the units digit of 2/((-10)/(-8) - t)?
8
Let y = 15 + -9. Let c(f) = -2*f + 7. Let r be c(y). Let h = -1 - r. What is the units digit of h?
4
Suppose -5*u - 5*x - 295 = 0, 5*x = 3*u - u + 83. Let w = 90 + u. What is the tens digit of w?
3
Let h(l) = -l**2 + 10*l + 1. Let s be h(8). Suppose -3*b + s = 5. What is the units digit of b?
4
What is the units digit of (6 + -1)*3/5?
3
Let l = 18 - 10. Let r = 10 - l. Suppose 24 = r*o + 2*o + 2*g, 3*o + 2*g = 19. What is the units digit of o?
5
Suppose -3*j - 486 = -6*j. What is the tens digit of j?
6
Suppose 4*p - 2*u = 112, 4*p - 6*u = -3*u + 116. What is the tens digit of p?
2
Let z(o) = o - 1 - 7 + o. Let j be z(7). Suppose 2 = 2*w - j. What is the units digit of w?
4
Let n be (-3 + 1)/((-6)/(-33)). Let z(g) = -2*g + 2. Let r be z(-7). Let w = r + n. What is the units digit of w?
5
Let h = -1 + 2. Let i = -1 + h. What is the units digit of -2*(2/(-4) - i)?
1
Suppose -9*m + 8 = -226. What is the units digit of m?
6
Suppose -y + 5*y - x = -295, 2*y = -4*x - 170. Let u = y - -111. What is the units digit of u?
6
Suppose 35 - 8 = j. Let x = 14 + -22. What is the units digit of j/(-6)*x/6?
6
Let i be 3/(3/(-16))*-2. Let a = i - 21. What is the units digit of a?
1
Suppose 0 = 2*v - 10 + 28. Let m = -5 - v. What is the units digit of (-3 - m)*(-12)/14?
6
Suppose 0 = -2*h + 328 - 106. What is the units digit of h?
1
What is the hundreds digit of ((-6)/9)/(8/(-1644))?
1
Let g = -5 + 2. What is the units digit of 2 - (g + (1 - 0))?
4
Let h(i) = -i + 7. Let l be h(7). Let y be (l - 0) + (3 - 1). Suppose 2 = y*r - 4. What is the units digit of r?
3
What is the units digit of (-1 + 0)/2*-4?
2
Suppose 2*g + 90 = 3*g - v, -v - 3 = 0. What is the units digit of g?
7
Suppose 5*z - 990 = -5*z. What is the units digit of z?
9
Let b = 23 + -19. What is the units digit of b?
4
Let r = 83 + -48. What is the units digit of r?
5
Suppose 0*g - 3*g = -o + 5, 2*o = -5*g + 43. Let s = o + 1. What is the units digit of s?
5
Suppose 0 = -2*z - g + 20, -24 = -7*z + 3*z + 2*g. Suppose 0*o + z = -4*o. What is the units digit of o/4 - (-114)/12?
9
Let k be (-33 - -1)*(-36)/24. Suppose k = 3*a - 0*a. What is the units digit of a?
6
Suppose 3*h - 2 = 10, 328 = 2*o + 2*h. Suppose -r + 0*r + 4*k = -51, 0 = 4*r - 5*k - o. What is the tens digit of r?
3
Suppose 4*g + x = -19, -g + 0*g = 3*x - 9. Suppose 8 = 3*l - 7*l. What is the units digit of g/(-4)*l/(-3)?
1
Let j = -156 - -266. What is the units digit of j?
0
Suppose 0 = -4*s + 4*y - 2*y + 174, 0 = 5*s - y - 216. What is the tens digit of s?
4
Suppose -5*b - 155 = -5*d, -170 + 7 = -5*d + 3*b. What is the tens digit of d?
3
What is the units digit of 4 - 2/(-2)*1?
5
Suppose -x + 0*x = -5*m + 101, -2*x - 82 = -4*m. Let l be (12/m)/((-1)/(-5)). Suppose l*c = a + 7, -5*c - 4*a = a - 45. What is the units digit of c?
4
Let k(r) = -r + 1. Suppose -h = -3*j - 22, j = 5*h + 9 - 35. What is the units digit of k(j)?
7
Suppose -4*g = -6*g + 106. What is the units digit of g?
3
Suppose -7*p - p + 2280 = 0. What is the tens digit of p?
8
Let p be (0 + 1)*(0 - -21). Suppose 2*g - p = -9. What is the units digit of g?
6
Suppose 8*v = -v - 36. Let h(w) = 2*w**2 + 4*w - 2. Let b(i) = -1. Let x(d) = -5*b(d) + h(d). What is the tens digit of x(v)?
1
Let x = 23 + -21. Suppose 4*a - b = b + 194, 5*a - 242 = x*b. What is the units digit of a?
8
Suppose -2*j + 120 = -5*b, 2*j - j + 5*b - 75 = 0. What is the units digit of j?
5
Suppose -12 = -4*s, 21 = -2*j + 3*s - 4. Let l = j - -27. What is the units digit of l?
9
Suppose -o + 2 = o. Let x = o + -1. Suppose x*y - 16 = -2*y. What is the units digit of y?
8
Suppose -6*t + 4*t + 346 = 0. What is the tens digit of t?
7
What is the units digit of 308/10 + (21/5 - 4)?
1
Let q be 3*(4/(-3) - -2). Suppose -10 = -4*o + q*l, -3*l + 5 = o - l. Suppose -4*s + n = -0*n - 44, o*n = 3*s - 24. What is the tens digit of s?
1
Let p be (-2)/7 - 16/(-56). Let o = 1 + p. What is the units digit of o?
1
Let w be 4/(-2 - -4) - 1. Let m be 0 + 0/(-2) - w. Let f(u) = -6*u**3 - u**2 - u - 1. What is the units digit of f(m)?
5
Suppose 5*v - 8 = 4*v. What is the units digit of 14/8 + (-6)/v?
1
Let w(k) = -k**3 + k**2 + k + 6. Let r be w(0). Let o(g) = -g**3 + g**2 - 5*g**2 - g - 4 + r. What is the units digit of o(-4)?
6
Suppose -57 = -3*m - 6. Let w = 35 - m. Let l = -4 + w. What is the units digit of l?
4
Let i(k) = -k**3 + 10*k**2 + 6*k + 1. What is the tens digit of i(8)?
7
Let l(f) be the first derivative of f**3/3 - f**2/2 - 6*f + 3. What is the units digit of l(-3)?
6
Suppose 38 = -3*c + j, -j - 62 + 12 = 5*c. Let l(u) = u**3 + 11*u**2 + 2*u - 15. Let t be l(c). Let b = t - -53. What is the tens digit of b?
1
Let j = 7 - -7. What is the units digit of j?
4
Suppose -m = -302 + 87. What is the tens digit of m?
1
Let z = 1 - 0. Let s(d) be the second derivative of d**4/3 + d**2/2 - 2*d. What is the units digit of s(z)?
5
| {
"pile_set_name": "DM Mathematics"
} |
11 + -5))?
4
What is the value of -2 - (6 + (-8 - 1))?
1
1 + (-4 - 0) + (-10 - -17)
4
0 + (-4 - (4 - 3))
-5
Evaluate 5 + (4 - (2 + (-1 - -3))).
5
What is the value of -3 - (1 - 3 - (-13 + 14))?
0
Calculate 2 + 4 + -2 + -5 + -1.
-2
Evaluate 3 + (2 - (-1 + 0)) + -4.
2
Evaluate (2 - (-8 - -4)) + -2.
4
(-2 - -2) + -8 - (-5 - -1)
-4
What is 2 + -7 + 15 - 11?
-1
Calculate (-15 - -12) + (-6 - -11).
2
What is (-8 + 18 - 3) + (2 - 0)?
9
-4 - (-9 - (1 - 9))
-3
Evaluate -4 - (1 - (7 - 0)).
2
Evaluate -1 - (-7 + -6 + 12).
0
Calculate (-11 - -12) + 1 + 0 + 3.
5
Evaluate (-9 - 6) + 8 + (13 - -1).
7
Evaluate 2 + 5 + -36 + 32.
3
What is 0 + 3 + (2 - (4 + -2))?
3
What is the value of (1 - 1) + -21 + 25 - 5?
-1
What is the value of 3 + 3 + -4 + (-4 - -2)?
0
Evaluate -1 - ((-4 - 0) + 2).
1
6 + 2 + 2 + -7
3
9 + (-21 - 2) + 7
-7
Evaluate (-6 - 9) + 18 + 4 + -1.
6
0 - (-2 + 1) - (5 - 6)
2
Calculate 3 + -1 + -9 - (16 - 19).
-4
Calculate -1 + (0 + 4 - (15 - 12)).
0
What is 1 + -5 + 0 + 3 + 0?
-1
What is the value of 8 - 3 - (3 - 4)?
6
Evaluate 4 + -3 + (72 - 67).
6
3 + 3 + (1 - 4)
3
Calculate -2 - (0 + -1 + -3).
2
Evaluate -7 + (3 - -2) + -2 + 8.
4
7 + (0 + 7 - 13)
1
What is the value of -16 + 10 + 1 + 0?
-5
What is 3 + (-5 - (-4 - -2))?
0
What is -8 - (-12 - -4) - (-3 - 1)?
4
What is 0 - (-8 - (-12 - -5))?
1
What is the value of 0 - (4 + -6) - (-1 + 6)?
-3
What is the value of 1 - 2 - (-1 + -4 + -1)?
5
Calculate -37 - -29 - (-1 + -4).
-3
(6 - 4) + -7 - 0
-5
What is (3 - -5) + (0 + -5 - -6)?
9
Calculate 0 + -1 + -7 + 2.
-6
Evaluate 16 - ((5 - -1) + (55 - 54)).
9
Calculate (1 - (4 + 5)) + 3.
-5
Evaluate (-1 - (0 - 1)) + -1 + 2.
1
What is 2 - (-1 + 1 - (8 + -9))?
1
What is the value of 4 + -7 + 9 + -13?
-7
What is the value of 10 - ((-3 - -11) + -2)?
4
Calculate (9 - (4 + 1)) + (-8 - -6).
2
What is -10 + 14 - (3 + 3 + -3)?
1
14 + -17 - (2 + 0)
-5
What is the value of 0 - (-3 + -7 + 4 + 2)?
4
Evaluate -9 - (-4 + 1 + 1).
-7
-3 + 3 + -1 + 1
0
Calculate 11 - (9 - (9 + -4)).
7
6 - 3 - -3 - (-2 - -3)
5
What is the value of -12 - -8 - (2 - 1)?
-5
What is 12 - (7 + -7 - -7)?
5
What is the value of 0 + 0 + (-2 - -2)?
0
Evaluate 11 + -12 + (16 - 10).
5
What is the value of -8 - (4 + -1) - -7?
-4
What is -1 - (-1 - 5) - (12 - 6)?
-1
What is the value of 114 + -118 + 5 + 2?
3
(11 - 9) + 0 + 1 + -4
-1
What is -2 + (4 - (1 - -2)) + 2?
1
Evaluate 20 - 22 - (1 + (0 - 3)).
0
Evaluate 22 - 16 - (10 - 1 - -1).
-4
(0 - 0 - (-25 + 24)) + 2
3
What is the value of 12 - ((-2 - -1) + 2 + 5)?
6
What is the value of -5 + (-5 - (5 + -16))?
1
What is the value of (4 - 3 - 4) + 2 + 3?
2
What is -4 + 2 + -10 + 15?
3
What is 0 + -1 + 3 + -17 + 20?
5
Evaluate -8 - (6 + 12 + -29).
3
What is the value of (5 - -1) + 15 + -14?
7
(-14 - -1) + 8 + (1 - -4)
0
(0 - 1) + (8 - 9)
-2
What is (-8 - (0 + -4) - -2) + -3?
-5
Calculate 20 + (-20 - -10) - 11.
-1
What is (-3 + 14 - -2) + -7?
6
What is (-2 - -6) + -5 + 6 + -7?
-2
4 + -13 + 21 - 4
8
Evaluate -1 + -2 + 7 + (1 - -1).
6
(3 - 1 - 10) + 7
-1
What is (-4 - (1 + -3)) + (-5 - -9)?
2
What is the value of -2 + 2 + 1 + (8 - 8)?
1
Evaluate (-7 - -6) + (-5 - -8).
2
What is 4 - (1 + -6 + 6)?
3
What is 2 + -2 + (-5 - -1)?
-4
What is (-1 - (2 - -2)) + (2 - 1)?
-4
-13 + 7 + 5 + -4
-5
What is 14 + -15 + 6 - (-4 - 0)?
9
What is the value of 1 + (0 - 3) + -1 + 7?
4
7 + (0 - (-5 + (8 - -2)))
2
Evaluate 3 + (2 + 0 - 4) + 4.
5
What is 0 + 2 - (-11 - (-8 - 0))?
5
What is the value of -1 + (-5 - 0) + 5 + 2?
1
What is 8 + (-9 - (-14 + 11))?
2
Calculate 1 + -10 + (7 - -9).
7
Calculate -8 + 13 - ((-1 - 0) + 10).
-4
What is 1 + -4 + -2 + -4 + 5?
-4
What is 2 + 0 + 9 + -1 + -5?
5
What is -1 - (9 + -15) - (6 + -3)?
2
What is the value of 8 - (13 + -17 + 12)?
0
What is the value of 5 - 0 - ((-3 - -3) + 0)?
5
Calculate (0 - 0) + (-11 - -16).
5
What is (-7 - (-1 - 4)) + -2?
-4
What is -12 - 0 - (127 - 141)?
2
What is (8 - 0) + 20 + -19?
9
(-9 - (-6 + 2)) + 9
4
What is (-1 - -1) + (-7 - -4) + 3?
0
Evaluate 2 - (-10 + 5) - 7 - -1.
1
Evaluate -8 + -5 + (20 - 4).
3
Evaluate -1 - -7 - (4 + 1 + -1).
2
What is the value of -3 - (-4 - (8 + -6)) - 10?
-7
What is the value of 1 - (-10 + 1 + 5)?
5
Evaluate (5 - 8 - 5) + 5.
-3
(4 - (-2 + 2)) + -3
1
6 - 3 - -1 - 5
-1
Evaluate -2 - -1 - (6 + -7).
0
-1 + (9 - (2 + 11))
-5
Calculate 2 - (-2 - -9) - (-12 + 8).
-1
Calculate 7 - (-7 + 8 + -4 - -5).
5
What is the value of -1 + 9 - (37 + -27)?
-2
-3 - -1 - (6 - 8 - 1)
1
What is 1 + (-9 - -6 - -3)?
1
Evaluate 16 + -11 + 8 - 4.
9
-46 + 48 - (1 + 2)
-1
Calculate (5 - 8 - 3) + 1 + 0.
-5
Evaluate 3 - (-6 - -3) - 12.
-6
What is 3 + -4 + (8 - 10)?
-3
What is -1 - (-9 + 4 + 0)?
4
Evaluate (5 - 12) + 2 + 8.
3
Calculate -54 - -46 - (-7 + 0).
-1
What is 3 - (13 - 4) - 0?
-6
What is the value of -2 + 0 + 2 - 4?
-4
What is the value of -14 - (7 + (-7 - 11))?
-3
What is 5 + -9 - 0 - -3?
-1
Evaluate (7 - 6) + 2 + -5.
-2
What is the value of 2 + (1 - (0 + 1))?
2
Calculate -6 + 4 + -2 + 4 + -2.
-2
What is the value of -7 + 3 - 0 - (-5 - -1)?
0
Calculate 0 + 5 - -4 - 1 - 4.
4
Evaluate 0 + -3 + 2 - 3.
-4
-1 - ((3 + -2 - 3) + -4)
5
Calculate 7 + ((-1 - -3) + -6 - 1).
2
What is the value of (4 + 1 - (23 + -26)) + -6?
2
-3 + 5 + -2 + 1
1
Calculate 11 - (14 + -1 - 0).
-2
Evaluate -7 + 12 + (-3 - -4).
6
Evaluate 0 + 1 + (-2 + 6 - 1).
4
What is -1 + -4 - ((-19 - -28) + -11)?
-3
What is the value of 0 + -2 - (-5 + (-6 - -13))?
-4
Evaluate 10 + (-1 - (-3 - -7)).
5
4 + -2 - (12 + -13)
3
-7 + 7 + 1 - (6 - 2)
-3
Calculate (1 - -1) + 1 + (0 - -2).
5
What is the value of -16 - -23 - (12 - 1)?
-4
What is the value of 6 - (-9 + 5 - (-4 + -2))?
4
1 + (2 - 4) + 3
2
Calculate -3 - (-2 - (0 - 1 - -3)).
1
Calculate 7 + -4 + (-3 - (1 + -5)).
4
What is the value of (20 - 16) + (2 - 5)?
1
Calculate (-4 - (-11 - -10)) + 0 + 9.
6
-4 + (-6 + 4 - 1 - -3)
-4
Evaluate 0 - (3 + 5 + (-5 - -2)).
-5
What is the value of 1 - (-3 - 5) - (-5 + 7)?
7
Evaluate (5 - 8 - -7) + 0.
4
Evaluate (8 - 3) + -4 + 2.
3
Calculate (6 - (15 - 1)) + 3.
-5
Calculate -4 + 0 + (-1 - -5 - 2).
-2
What is 12 + (-12 - (-5 + -4))?
9
Evaluate -1 + -2 + 2 + 0.
-1
Evaluate (-17 - (0 + -8)) + 2.
-7
Calculate 0 + 1 + -2 + -1 + 2.
0
Evaluate 9 + -5 + (-1 - 0).
3
-3 + 2 + 6 + -4 + -2
-1
What is 5 + -14 + 6 + 0?
-3
(1 - (1 - -4 - 3)) + -2
-3
What is (-2 - -1 - -1) + 9 + -7?
2
Calculate 7 + -4 - (11 - 7).
-1
What is 1 + 3 + 1 + -14 + 7?
-2
Evaluate (2 - 0) + (2 + 5 - 7).
2
Calculate (2 - 2) + 7 + -5.
2
-6 - -3 - (-3 - (-7 + 15))
8
What is the value of 2 + -6 - (2 - 14 - -2)?
6
1 - 1 - 9 - (0 + -4)
-5
Calculate 1 + 0 + (2 - 7 - -5).
1
(11 - 4) + -1 - 11
-5
What is the value of (0 - -6 - 4 - -1) + 1?
4
What is the value of 14 - 18 - (-8 - 1 - -1)?
4
Calculate (-12 - (-5 - -5 - 2)) + 4.
-6
What is 0 + 3 + 11 + -17?
-3
(4 - (5 - 5)) + 2
6
What is -3 - (-3 + -1) - 5 - -1?
-3
Evaluate 1 + -6 + 4 - 0.
-1
7 + -12 - (-1 - (1 + 3))
0
(6 - 0) + -8 + 2 + 2
2
Calculate (-4 - 0) + -1 + (3 - 1).
-3
What is -2 + 11 + -7 + 3?
5
Calculate -4 + (1 - -1) + -14 + 14.
-2
Calculate 4 - (3 - -5 - 3).
-1
What is (-2 - -1) + 6 + 102 + -100?
7
Calculate (0 - -2 - 4) + -3.
-5
Calculate -17 - -14 - (-2 + (-2 - -6)).
-5
Calculate 2 + 1 + 1 + 1.
5
What is the value of 5 + -5 + 1 + 4?
5
(7 - 1 - (-1 - -4)) + 0
3
Evaluate -3 - (-3 + (5 - 5) - -5).
-5
What is the value of 5 + (-14 - (7 + -15) - -3)?
2
What is the value of 0 - (3 + 2 - 5)?
0
(-1 - (2 - 6)) + 0
3
Calculate 2 + (-6 - (1 - 8)) - 0.
3
What is the value of 1 - (-3 + 4) - -1?
1
Evaluate -7 + 7 - -9 - (-10 - -11).
8
What is the value of 18 + -4 + (28 - 32)?
10
0 + 0 + 2 + 0 + 0
2
What is (10 + -10 - (0 - 2)) + -2?
0
What is -6 + 12 + (-2 - 1)?
3
5 + 7 + (-4 - 5)
3
What is 7 - (14 + (-9 - -9))?
-7
What is (3 - (-3 + 9)) + 16 + -12?
1
(17 - 1) + 0 - (295 + -289)
10
What is the value of -1 - (3 + -5 + 3)?
-2
What is the value of -5 + 1 + (-1 - -5) - -5?
5
What is (2 - 1 - -7) + -5 - 8?
-5
Evaluate 15 - 3 - 23 - -1.
-10
What is 8 + -11 + (2 - 1)?
-2
0 + -6 - (-2 - (3 - 4))
-5
What is the value of (-4 + 1 - -1) + -1?
-3
-7 - (-5 - (4 + -7))
-5
Evaluate -5 - (11 - (6 + 5)).
-5
What is 13 + -6 - (3 - -3)?
1
Evaluate 5 - (-2 - (-3 + -2)).
2
(0 - -6) + -1 + -6 + 2
1
What is the value of 1 - 5 - (-26 - -21)?
1
What is (5 - -3) + -13 + 5 - -4?
4
-7 + 1 + -21 + 18
-9
0 - -3 - | {
"pile_set_name": "DM Mathematics"
} |
. Suppose 11*m = 14*m - j*r - 789, -5*m + 3*r = -1316. What is the units digit of m?
5
Let c(t) = 4*t**2 + 159*t - 294. What is the hundreds digit of c(48)?
5
Suppose 0 = r - 5*g - 2, 3*g - 6 = -3*r. Suppose r*j + 4*h = 74, 21 = 3*j - 4*h - 110. What is the units digit of j?
1
Suppose 14*z = -23297 - 23295. Let g = 4706 + z. What is the tens digit of g?
7
Let s(n) = 347*n + 90. Let a be s(3). Let g = -597 + a. What is the hundreds digit of g?
5
Let z = 67 - 65. Suppose -186 = z*j - 2344. What is the units digit of j?
9
Suppose 0 = -2*v + 2*m - 456, 2*v + m + 426 = -3*m. Let h = v + 505. Suppose h = 4*s - 4*b - 242, -8 = -2*b. What is the tens digit of s?
3
Let z = 1544 + -326. Let i = 2361 - z. What is the thousands digit of i?
1
Let v = -468 - -328. Let i = v - -234. What is the tens digit of i?
9
Let u(k) = -k + 22. Let f be u(13). Let i(j) = -j**3 + 9*j**2 - 7*j. Let x be i(f). What is the units digit of (-8)/(-14) + (-1287)/x?
1
Let d = -299 + 303. Suppose -d*z + 1943 = 3*v - 1058, v + 2989 = 4*z. What is the tens digit of z?
4
Let a = 63582 + -17178. What is the thousands digit of a?
6
Let m = 67357 + -36307. What is the hundreds digit of m?
0
Let y(h) = -h**3 - 19*h**2 + 2. Let w be y(-19). Let g be ((-1)/(2/(-4)))/(w/4). Suppose u - 99 = -2*k, -3*u + 76 = g*k - 217. What is the units digit of u?
5
Suppose 875*k - 6504659 = 756*k. What is the ten thousands digit of k?
5
Let l be 9/((-45)/(-10))*(-20632)/16. Let t = l - -3952. What is the units digit of t?
3
Suppose 4*j - 4*c - 1774 = 1422, 0 = 4*j - 3*c - 3201. What is the tens digit of j?
0
Suppose 3*p = -0*p + 39. Let d(j) = -3*j**2 - j - 3. Let k(c) = c**3 + c**2 - 8*c + 24. Let a(h) = 4*d(h) + k(h). What is the hundreds digit of a(p)?
1
Suppose 3*h - 12 = -h, -9*r - 4*h = -230529. What is the thousands digit of r?
5
Let c = -286 - -292. What is the units digit of ((-6157)/(-141))/(2/c)?
1
Let m(p) = p**3 - p**2 - p - 17. Let j be m(6). Let r = -14 + -26. Let t = r + j. What is the units digit of t?
7
Suppose 6*b - 229 - 191 = 0. What is the tens digit of (945/14)/15*b?
1
Suppose 5*l + 220057 = 52*p - 48*p, 55003 = p - 5*l. What is the units digit of p?
8
Let j(h) = -33*h - 4. Let l(p) = -32*p - 3. Let m(t) = 4*j(t) - 5*l(t). Let o(i) = 308*i - 12. Let c(y) = -32*m(y) + 3*o(y). What is the tens digit of c(3)?
8
Let u be -1 + 2262 + -60 + 64. Suppose -5*t = -8*t + u. What is the tens digit of t?
5
Let k = 31633 + -17877. Suppose -10*l - 4876 = -k. What is the tens digit of l?
8
Suppose 3*i + 189 = 4*z, 4*z - 5*i - 232 + 37 = 0. What is the tens digit of 20 + -18 - 4*z/(-2)?
9
Suppose p - 4 = 3. What is the units digit of (-766)/(p/(35/(-10)))?
3
Let w be 3 + -4 - 0/4. Let p be ((6 + -4 + 5)*w)/(-1). Suppose p*z - 360 = z. What is the tens digit of z?
6
Suppose 8075 = 11*b - 27136. What is the thousands digit of b?
3
Let n(t) = 3*t - 4. Let h be n(3). Suppose -4*r + 953 = a - 2939, r - 3*a = 986. Suppose -y = -2*l + 4*l - 389, y = -h*l + r. What is the hundreds digit of l?
1
Suppose 3*h - 16*o + 12*o - 3466 = 0, 0 = -3*o + 6. What is the thousands digit of h?
1
Let o(u) = 1427*u**3 - 8*u**2 + 33*u - 30. What is the ten thousands digit of o(2)?
1
Let i be (5/15*9)/1. Let r(c) = -41*c + i + 128*c - 2. What is the tens digit of r(1)?
8
Suppose -403*y + 435*y - 901224 + 75752 = 0. What is the hundreds digit of y?
7
Let y(g) = -g**3 + 4*g**2 + 5*g + 17. Let b be y(7). What is the units digit of (-608)/10*b/38?
2
Let s be 2/(40/15*1/4). Let h be (-1050)/(-33) + s - 2/(-11). What is the tens digit of 2096/28 - (-5)/h?
7
Suppose -4*o - 2*q + 49662 = 0, -13*q + 37245 = 3*o - 12*q. What is the hundreds digit of o?
4
Suppose 6*w - 2*w = 4628. Let a = 2357 - w. What is the tens digit of a?
0
Suppose w - 5*l + 43 - 4 = 0, 0 = -5*w - 4*l - 224. Let f = 35 + w. Let k(n) = -25*n - 6. What is the hundreds digit of k(f)?
2
Suppose 7*a - 45 = 2*a. Suppose 4*c - 118 = -3*r, 59 = r - 4*c + a. Let f = -25 + r. What is the tens digit of f?
1
Let v = -3 - 516. Let n = 0 - v. What is the hundreds digit of n?
5
Suppose -2*j - 1602 + 236 = -c, -2692 = -2*c - 4*j. What is the thousands digit of c?
1
Suppose -22*c + 12*c + 352590 = 25*c. What is the ten thousands digit of c?
1
Suppose -i = -5*j + 95, -3*i - 38 = -j + i. Let y(l) be the first derivative of -2*l**3/3 + 20*l**2 - 11*l + 7226. What is the units digit of y(j)?
1
Let q(x) be the first derivative of 23*x**2/2 + 53*x - 86. What is the tens digit of q(24)?
0
Suppose 25*s + 5 = 26*s. Suppose 3*z = 2*z - 4*l + 1040, 4*l = s*z - 5296. What is the thousands digit of z?
1
Suppose -3*v = 3*g - 6*v + 120, -144 = 3*g + 3*v. Let n = -44 + -59. Let z = g - n. What is the units digit of z?
9
Let y(q) = -q**2 + 19*q - 8. Let m be y(18). Suppose -m*c = -472 - 658. What is the hundreds digit of c?
1
Let v(t) be the first derivative of 17*t**3 + 15*t**2/2 + 58*t + 243. What is the tens digit of v(-4)?
1
Let t = -6852 - -12502. Suppose 7831 = 13*p - t. What is the thousands digit of p?
1
Suppose 3*b = 7*b - 4*a + 4336, 4*b + 3*a + 4371 = 0. Let k = b + 1574. What is the tens digit of k?
8
What is the tens digit of (-1160)/(-464)*26468/5?
3
Let w = 35 + -31. Suppose -64 = -3*r - 5*h + 6, -w*h = 2*r - 48. What is the units digit of (-8)/(-10) + 104/r?
6
Suppose -3*i = -5*j + 172126, j + 3*i = 29159 + 5295. What is the hundreds digit of j?
4
Let g(a) = -21*a**3 + 19*a**2 - 75*a - 10. What is the ten thousands digit of g(-9)?
1
Let m = 44684 + -30423. What is the ten thousands digit of m?
1
Let o = -84321 + 154236. What is the units digit of o?
5
Suppose 0 = 5*r + 2 + 43. Let x(k) = -k + 5. Let f be x(r). Suppose 284 = f*q - 10*q. What is the units digit of q?
1
Let d be 1 - (0 + 1 + 0). Suppose 4*n - 2*n + 8 = d. Let l(j) = j**3 + 5*j**2 + 3*j + 6. What is the tens digit of l(n)?
1
Let j = -42 - -42. Suppose -p = -2*f - 4, -3*p + j*f = 2*f + 4. Suppose 3*x - 6*x + 36 = p. What is the tens digit of x?
1
Suppose -20 = -r - 3*r. Suppose 3*i = -5*l + 48, -r*l + 3*i = -0*i - 72. Suppose d - l*d + 594 = 0. What is the tens digit of d?
5
Let t be -6*(-2)/4*109/1. Suppose -t + 2487 = 4*v. What is the units digit of v?
0
Let v = -20 + 21. Let a be 960/(-55) + (-42)/77. What is the units digit of (v + 1)*(-1359)/a?
1
Suppose -31*w + 26*w - 70 = 0. Let v(q) = -2*q**2 - 76*q + 15. What is the tens digit of v(w)?
8
Suppose 4*y = -0*y + 3*y. Suppose -33*c + 31*c + 14 = y. Suppose -5*h - 3*p + 90 = 0, -2*p + c*p - 55 = -2*h. What is the tens digit of h?
1
Let c(a) = 8*a - 6. Let j be c(1). Suppose -5*t + 930 = j*m, -3*t = -0*m + 3*m - 1377. What is the tens digit of m?
5
Let z(u) = u**3 + 10*u**2 - 4*u + 14. Let w be 170/15 - 8/6. Let o be 0 + -14 - (w - 14). What is the units digit of z(o)?
4
Let o(w) = 33*w + 5949. What is the tens digit of o(20)?
0
Suppose 21*c - 2052 = 20*c. Suppose -8*z = z - c. What is the hundreds digit of z?
2
Suppose -2*k - 3*u = -12629, -70*k + 3*u - 25273 = -74*k. What is the hundreds digit of k?
3
Suppose -2*z = -4*k + 3476, 0 = 4*k - 6*z + 11*z - 3490. Suppose -5*s = -2*a - 1089, -2*a = -4*s - 0*a + k. What is the units digit of s?
9
Let u(p) = -5*p - 104. Let z be u(55). Let h = 871 + z. What is the tens digit of h?
9
Let f(h) = -2*h**3 - 10*h**2 + 16*h + 42. Let a = 23 + -32. What is the tens digit of f(a)?
4
Suppose 5*w + 5 = -3*l, -2*l - 3*l = 4*w + 4. Let g(o) = -o**2 - o - 28. Let t be g(l). What is the units digit of -1 - 7/(t/192)?
7
Suppose -54 = -3*q + 4*j, 0*q = -3*q - 5*j + 54. Suppose -3*u - 10 = 5*x + u, q = 4*x - 2*u. What is the units digit of x + ((-364)/(-8) - 1/(-2))?
8
Let j(f) = 11*f**2 + 79*f - 2. What is the hundreds digit of j(-46)?
6
Suppose 0 = i - 5*c - 1864 - 2150, -5*i + 20175 = -4*c. Suppose -24*l + 4*w = -21*l - 2415, -i = -5*l + 2*w. What is the units digit of l?
9
Let x(k) be the first derivative of k**4/4 + 49*k**3/3 - 17*k**2/2 - 116*k + 44. What is the units digit of x(-49)?
7
Let b = -21 - -24. Suppose -j + b*p + 198 = -115, p = 5. Suppose -8*q + 12*q - j = 0. What is the tens digit of q?
8
Let x = 4292 - -4182. What is the hundreds digit of x?
4
Let c(t) = 12*t**3 - t**2 - 1. Let w(n) = 2*n**3 + 5 + n + 4*n**2 + 8*n**2 - 4*n**2 + 0*n**3. Let o be w(-4). What is the tens digit of c(o)?
1
Let u = 29 - -16. Suppose -43 = | {
"pile_set_name": "DM Mathematics"
} |
ue? (a) 131.01 (b) -3/4 (c) -0.132
a
What is the second smallest value in 2, -3/2, 4017611?
2
What is the seventh smallest value in 2, -0.22, 50, -2, -5, 6, -1?
50
What is the third smallest value in 537.6, 211/4, -2?
537.6
Which is the third smallest value? (a) 0 (b) 1371 (c) 4.487
b
What is the second biggest value in -177, 0.2, -0.2, -9/5, -16?
-0.2
What is the second biggest value in 23, -3, -20531/36?
-3
Which is the sixth smallest value? (a) 8.7 (b) 59.34 (c) 3/7 (d) 7 (e) 5 (f) 4
b
What is the second smallest value in 5, 4, 3/5, -1/4, -2056, -0.09?
-1/4
What is the third biggest value in -9/4, -2/7, 20.8, -5, 0.4, 4, -4.9?
0.4
What is the third smallest value in 0.86, 5, 67186, -3/4?
5
What is the third smallest value in -0.104, 0, -0.24, 92, -2/11?
-0.104
What is the fourth biggest value in -74, 25, 5, 124, -2/19?
-2/19
What is the third smallest value in 338, 5, 1/5, 20, -5?
5
Which is the biggest value? (a) 4/3 (b) 409 (c) -5/83
b
What is the biggest value in 7, -42, 23, -37?
23
Which is the third biggest value? (a) -0.11026 (b) 5 (c) 0.3 (d) -5/8 (e) -7/3
a
Which is the smallest value? (a) 0.34 (b) 2/11 (c) -1/438 (d) 7
c
What is the sixth smallest value in 1.8, -0.3, 36, 1/6, -1, 6, -4?
6
Which is the biggest value? (a) -3 (b) 0.05 (c) 1 (d) 182/321 (e) -13
c
What is the fifth biggest value in 0.07, -4, 4, 2, -1/13, 2/13, -108?
-1/13
What is the second smallest value in 47, 4, -0.05, 2/131, 7, -4/13, 0.3?
-0.05
Which is the second smallest value? (a) -657 (b) 5/2 (c) 0 (d) -1/14
d
What is the fourth smallest value in -19, 11, -3746, 27?
27
What is the third smallest value in 1009739, 3/4, -5?
1009739
Which is the second smallest value? (a) -2/11 (b) 76 (c) -2.27 (d) -0.4 (e) 0.5
d
Which is the smallest value? (a) 5 (b) -4/9 (c) -86 (d) -0.2 (e) 7 (f) 2
c
Which is the second smallest value? (a) -10 (b) -0.4 (c) -116216
a
What is the biggest value in 4661193, -2/3, -3?
4661193
What is the seventh smallest value in -1, -6, 2, 0.4, 19, 0.01, 71?
71
What is the biggest value in 50.9198, -1/5, -6?
50.9198
What is the third biggest value in 1/2, -12, -0.1, -52, 0.2, 29/6?
0.2
Which is the sixth biggest value? (a) -3/2 (b) -0.497 (c) -2 (d) -31 (e) -0.4 (f) -3
d
What is the sixth biggest value in -1/3, 0.6, 420, -25, 4, -0.5?
-25
Which is the second smallest value? (a) -2 (b) -345.9 (c) -1/4 (d) -1/6 (e) 4 (f) -3/11
a
Which is the biggest value? (a) 2 (b) 4 (c) 1 (d) 0.16161 (e) 4/3 (f) 2/19
b
What is the second biggest value in -245/17, 4, -7183, -0.5?
-0.5
Which is the fifth biggest value? (a) 4485 (b) -38 (c) 0 (d) 1/3 (e) 2/9 (f) 1
c
Which is the third smallest value? (a) -1/88 (b) -8 (c) -17 (d) -2/3 (e) -26 (f) -1/7
b
Which is the second biggest value? (a) -4/5 (b) -1 (c) 145 (d) 2883 (e) 0.3
c
Which is the fifth biggest value? (a) 3 (b) -86728 (c) -207 (d) 3/5 (e) -3
b
What is the second smallest value in -6, 4, -4/3, -20/653?
-4/3
Which is the third smallest value? (a) -3 (b) -5 (c) -2 (d) 3 (e) -0.02 (f) -77.539 (g) 2
a
Which is the fourth smallest value? (a) 0.5 (b) 1/25350 (c) 2/59 (d) -2
a
What is the biggest value in -1723.87, 56/9, 0.03?
56/9
Which is the seventh smallest value? (a) -6061 (b) 1/2 (c) -0.5 (d) 96 (e) 5 (f) 2.2 (g) 2/7
d
What is the third biggest value in -2, -33/4, -236, 2/67, 0.4, -5?
-2
Which is the fourth smallest value? (a) -0.13 (b) 1/230661 (c) 0.3 (d) 0
c
Which is the second smallest value? (a) -3 (b) -2 (c) 19/1048 (d) 0.04
b
Which is the second smallest value? (a) -14541 (b) 25 (c) 1
c
What is the second smallest value in -0.49, 5285/6, 23?
23
Which is the third smallest value? (a) -11893 (b) -22 (c) -173
b
What is the third biggest value in -2, 0.26, 0.3, 2/13, -10, 0.1?
2/13
What is the second smallest value in -3, -19/10095, 5, 0?
-19/10095
What is the fourth biggest value in -0.07899, -3, -7, 0.1, -0.4, -1.42?
-1.42
Which is the fifth smallest value? (a) 4 (b) 4/7 (c) 0.2 (d) 10626 (e) -0.024
d
What is the second smallest value in 3/26, 9, 1/4, 0.83, 38, -0.06?
3/26
What is the smallest value in -34/9, 112277, 0.2?
-34/9
What is the biggest value in 994, 61/217, -1/7?
994
Which is the biggest value? (a) 1 (b) 30 (c) -4 (d) -0.16 (e) -19/15 (f) -5
b
Which is the seventh smallest value? (a) 1 (b) 0.154 (c) 3 (d) -421 (e) -2/3 (f) -2 (g) 1/7
c
What is the seventh smallest value in 1, -4, -2/341, 2, 0.5, 0.7, -1/112?
2
What is the second smallest value in -0.3, 2/1593, 4, -0.1, -1, -2445?
-1
What is the third biggest value in 19087, -699/5, 1?
-699/5
Which is the fourth biggest value? (a) 0.4 (b) 3956004 (c) -9 (d) -1/3
c
What is the second biggest value in -80, -1/4, 2.1, -0.1, -5, -20, -3?
-0.1
What is the fourth smallest value in 382, -57, 11, 2/57, -2?
11
What is the second biggest value in 2, 0, 5, -20, 230?
5
What is the third smallest value in -8, 5, 4, -0.2, -26178, 0.4, -0.1?
-0.2
What is the smallest value in -2, 0.06, 118637?
-2
Which is the fourth biggest value? (a) 20 (b) -5 (c) -1 (d) -1/13 (e) 36 (f) 16
d
What is the fourth biggest value in 2/5, 0.9, 3239, -2/3, 1/3?
1/3
What is the biggest value in 1.3, 1453.79, 4?
1453.79
Which is the fifth biggest value? (a) 2/23 (b) 0 (c) 0.5 (d) 82 (e) 61.9 (f) -1
b
What is the second biggest value in 352, 5, 1148/3?
352
What is the fifth smallest value in 1/6, 0.2, -3, -0.5, -68409, 1?
0.2
Which is the fifth biggest value? (a) 0 (b) 3 (c) -543 (d) -6 (e) -2/3 (f) 148 (g) -2
g
Which is the third smallest value? (a) -10/3 (b) 39 (c) 546.7
c
What is the second biggest value in -0.4, 0.2, 1/3, -76, -6889?
0.2
What is the fourth smallest value in 0.1, -1/7, -0.019, 1/73, -3.7?
1/73
Which is the second biggest value? (a) -247373 (b) -5.2 (c) -3/8
b
Which is the second biggest value? (a) -3/4 (b) 0 (c) 34 (d) 2/9 (e) -3/2 (f) -1/6 (g) 0.08
d
Which is the second smallest value? (a) -94.968 (b) -12 (c) -96 (d) -2/3
a
What is the fourth smallest value in 0.1, -7/27, 0, 5, 0.2, -3, -18/31?
0
What is the seventh smallest value in -0.03, 7, -3, -801/8, -2, -0.4, 0.03?
7
What is the third biggest value in 6/625, -202, 5, -0.5?
-0.5
Which is the fourth smallest value? (a) 2/3 (b) -501/17 (c) -19 (d) 4 (e) 0.5
a
What is the smallest value in -3, 48.67, 1009, -2?
-3
What is the third biggest value in -76223, 0.5, 0.2, 3/2?
0.2
What is the biggest value in 6/11, -12, 1.1, -49, 0.1?
1.1
Which is the biggest value? (a) 4 (b) -1228 (c) -3/7 (d) -2776
a
What is the second biggest value in 320.66, -44, -3/7?
-3/7
What is the smallest value in 1/7, -7/39, -63704?
-63704
What is the third smallest value in 23, 0, -7/2, 1/173?
1/173
Which is the smallest value? (a) 899 (b) 13 (c) 22 (d) 0.06
d
What is the fourth biggest value in -17, -148, -11, 222?
-148
What is the sixth smallest value in 2, -2, 109, -244, 0.4, -13/2, -3?
2
Which is the fifth smallest value? (a) 4 (b) 0.4 (c) -0.2 (d) -1 (e) -2/11 (f) 2/49 (g) -49/808
f
Which is the biggest value? (a) -3 (b) -6/2717 (c) 10 (d) 632 (e) 2
d
What is the second biggest value in -0.38, 4, -4, -1.2, -1.113, -0.2?
-0.2
What is the fourth biggest value in -2826, -3, -2, 0.3, 2, -3/7, -5?
-2
Which is the smallest value? (a) -8 (b) -1 (c) 3.690346
a
What is the second smallest value in 173, 5, 1774, -6/11, 2, 6, 4?
2
What is the fifth biggest value in -1, 26, 74695, 3/7, -5?
-5
Which is the third smallest value? (a) 0.06526 (b) -65 (c) 79
c
Which is the second biggest value? (a) -1 (b) 8.236 (c) -2/5 (d) 0.111
d
What is the smallest value in -49569, 167.6, -5?
-49569
Which is the smallest value? (a) -4 (b) 2.1992132 (c) -1
a
What is the biggest value in 0.03, 1/1464, -3, -18?
0.03
Which is the fourth biggest value? (a) -1/7 (b) 0.55 (c) -35.1 (d) 0 (e) 0.8
a
What is the third smallest value in 0.5, -3375, 0.112, 7?
0.5
Which is the fifth biggest value? (a) -1918 (b) -2/11 (c) -10/7 (d) 2/3 (e) -2/3 (f) -1/7 (g) 1/3
e
What is the third smallest value in 2/11, 3, 291835, 1, -5, -19?
2/11
Which is the fifth smallest value? (a) -0.2 (b) -0.0402 (c) 1 (d) 2/65 (e) 0.5
c
Which is the third biggest value? | {
"pile_set_name": "DM Mathematics"
} |
= 54 - 52. Suppose -59 = -5*v + 3*w, t*w = v + 6 - 22. Calculate the highest common divisor of v and 4.
2
Let c be -3*4/6 - -6. Let j be 290/c + ((-3)/2)/3. Calculate the greatest common factor of j and 9.
9
Let f(u) = -u**3 + 12*u**2 - 2*u. Let q be f(11). Let s = -17 - -14. Let r be s/1 - (1 - 13). Calculate the highest common divisor of q and r.
9
Let i(y) be the second derivative of y**3/6 + 37*y**2/2 + 17*y. Let s be i(-17). Calculate the highest common factor of 80 and s.
20
Let v = -24 + 34. Let d(g) = g**2 - 1. Let i be d(-3). Suppose i*a = -a + 810. What is the greatest common divisor of a and v?
10
Let g = 990 + -980. What is the highest common divisor of g and 1790?
10
Let a be (197 - 131) + (-4 - -1). Let q be ((-21)/(-9))/((-2)/6). Let d be (-1)/(-2 + (-13)/q). Calculate the highest common divisor of d and a.
7
Let j(a) = -a**2 + 28*a + 149. Let n be j(31). Calculate the highest common factor of n and 308.
28
Let m(y) = -3*y + 34. Let s be m(8). Calculate the highest common divisor of 3830 and s.
10
Let i be (-2)/(-1)*(30/4 + -5). What is the greatest common factor of i and 4?
1
Let p(g) = -g**3 + 5*g**2 + 2*g + 2. Let a be p(6). Let t = a + 36. Let h be 63*((-15)/9 + 2). What is the highest common divisor of t and h?
7
Let a be 2/10 - (-3 - 56/20). Let f be (a/8)/((-95)/48 - -2). What is the greatest common divisor of f and 144?
36
Suppose -5*f - 2*u + 945 = 0, f + 2*u = 5*f - 756. Calculate the highest common factor of f and 42.
21
Let s(b) = -2*b**2 - 7*b + 7. Let g be s(4). Let r = -21 - g. What is the greatest common factor of 80 and r?
16
Let z(f) = f + 45. Let c be z(0). Suppose -c = -7*t + 53. What is the highest common divisor of 112 and t?
14
Suppose 2*d + 2 - 6 = 0. Suppose d*g - 8 = -0*g - 3*p, -g - p = -6. Let v = 15 + 10. What is the greatest common factor of v and g?
5
Suppose -23*l = 34 - 356. Suppose -3*i - 2*x + 207 = 83, -4*x = 5*i - 206. What is the highest common divisor of i and l?
14
Suppose -5*l + 165 = -0*q + 2*q, 4*q = l + 275. Suppose 0 = 8*b - 8 - 0. Let r be (-78)/(-2)*b/3 - -1. What is the greatest common factor of q and r?
14
Let b(o) = -o - 3. Let n be b(-4). Let t(d) = d**3 + 11*d**2 - d - 2. Let m be t(-11). Calculate the highest common factor of m and n.
1
Let x(c) be the first derivative of -3 - 7*c - 1/3*c**3 + 13/2*c**2. Let o be x(11). Calculate the greatest common factor of o and 5.
5
Suppose 4*f + 3*r = 417, 4*f - r - 309 = 128. What is the highest common divisor of 3996 and f?
108
Suppose -4*u + 4*a + 8 + 8 = 0, a = 5*u - 12. Let o be 3*(7/3 - u). Let m = o - -55. Calculate the highest common factor of 28 and m.
28
Let x = -1 - -6. Suppose l = -3*t - 4*l + 214, -2*l = -x*t + 398. Let o(d) = 12*d + 2. Let n be o(2). Calculate the greatest common factor of t and n.
26
Let x = -13 + 27. Let y be (-14)/(-1)*(16 + -1). Suppose -5*l + 3*u = -y, -4*u + 42 = 4*l - 126. Calculate the highest common divisor of l and x.
14
Let w be -1*(3/3)/(8/(-408)). Suppose -498 = -2*j + 624. What is the greatest common factor of w and j?
51
Let h = -26 - -64. Calculate the greatest common divisor of 95 and h.
19
Suppose 0 = -m - f - 2, -6*f + 2*f - 8 = -m. Let i(s) = s**2 - 4*s + 4. Let p be i(4). Suppose -2*h + m = -p. What is the highest common divisor of h and 6?
2
Suppose -162 = -3*t + 3*u, u = t + 3*u - 48. Let o be t - 12/(1 + 5). Calculate the highest common divisor of 10 and o.
10
Let r be (-14)/2*(-2)/2. Let l = -3989 + 4024. Calculate the highest common factor of r and l.
7
Let k be (-5 - -29) + (-10)/(-5). Calculate the greatest common divisor of 2197 and k.
13
Let j(o) be the second derivative of -o**4/12 + o**3/2 + 10*o**2 + 11*o. Let q be j(6). Calculate the highest common divisor of q and 16.
2
Suppose -v + 3*t + 141 = -t, t - 1 = 0. What is the greatest common divisor of 203 and v?
29
Let a(s) = 197*s**2 - s + 1. Let f be a(1). Let w = f + -61. Calculate the greatest common factor of w and 17.
17
Let l(z) = z**2 + 8. Let k be l(0). Let c = -74 - -81. Let b = 1 + c. What is the greatest common factor of b and k?
8
Let i = 269 - 248. Calculate the highest common divisor of i and 609.
21
Let d(q) = 2*q**2 - 21*q - 16. Let p be d(21). What is the highest common factor of 25 and p?
25
Let a be 3/2 + 4/(-8). Let p be (14/35)/(a/20). What is the greatest common divisor of 16 and p?
8
Let d be 1208/(-60) + (-8)/(-60). Let k be 14/4 - (-10)/d. Calculate the highest common factor of 33 and k.
3
Let h = -25 - -27. Let j(q) = -18*q - 1. Let i be j(-5). Suppose 17 = -3*u - h*k + i, 3*u - 72 = k. What is the greatest common divisor of 264 and u?
24
Suppose 2*q - 20 = -5*n + 29 + 6, 0 = -4*q. Suppose 3*u - 4 = -u. Let m = 0 + u. What is the highest common factor of n and m?
1
Suppose 92*k = 103*k - 2838. Calculate the highest common factor of 54 and k.
6
Suppose 14*a = 8*a + 18. What is the greatest common divisor of a and 147?
3
Let v = -9 - -10. Let p be (v - -8)*22/99. Calculate the highest common divisor of 1 and p.
1
Let l = 11 + 77. Let r be l/9 + 4/18. Suppose 4*c - 2*b - 42 = 0, 0 = -2*c + 5*b + 43 - 18. Calculate the highest common divisor of c and r.
10
Suppose 380 = -t + 6*t. Let d be 2/(-3) + 708/36. Calculate the highest common factor of d and t.
19
Suppose 4*g = -5*p + 59, -2*g = 8 - 0. Suppose 0 = -5*s + p, 5*s - 31 = -5*l + 9. Calculate the greatest common divisor of 10 and l.
5
Let f = -38 - -43. Suppose 95 = f*p - 0*p + 4*a, -4*p = 2*a - 70. Calculate the greatest common divisor of 75 and p.
15
Let b(h) = h**2 - 2. Let o be b(4). Suppose -159 = -6*j + 597. Calculate the greatest common divisor of o and j.
14
Suppose 0 = -28*m - 33*m + 1342. What is the greatest common factor of m and 1474?
22
Let n be -3 + (6 - (2 - 1)). Suppose 4*u + 5*d = 133, 0*d + 91 = 3*u + n*d. What is the greatest common factor of u and 9?
9
Let y be 0/(5 + -6 - -2*1). Suppose y = 5*b - 22 - 23. What is the greatest common divisor of b and 6?
3
Let v = -7 - -10. Suppose -10 = -2*z + v*z. Let g(p) = -5*p - 5. Let k be g(z). Calculate the greatest common divisor of k and 9.
9
Let j(y) = 7*y**2 - 30*y - 22. Let v(s) = 6*s**2 - 29*s - 22. Let w(z) = -3*j(z) + 4*v(z). Let q be w(12). What is the greatest common factor of 14 and q?
14
Let i = 1222 - 410. Calculate the highest common factor of i and 232.
116
Let r be (-7)/(1/24*116/(-493)). Calculate the greatest common divisor of 102 and r.
102
Let v be 12/(-9)*120/(-4). Let p be ((-16)/v)/((-1)/(-30)). Let m be p/(-42) + 878/14. Calculate the highest common factor of m and 9.
9
Suppose 312 = -8*o + 888. Calculate the highest common divisor of 264 and o.
24
Let k = -220 + 242. What is the highest common factor of k and 154?
22
Let w be 4055/75 - 2/30. Let c = 29 - 2. Calculate the highest common divisor of c and w.
27
Suppose -j + v + 41 = 3*v, 2*v = -5*j + 213. Suppose 4*z + 4*y = z + 32, 4*z = -5*y + j. What is the greatest common divisor of z and 3?
3
Let u(b) = 25*b - 84. Let a be u(4). Calculate the greatest common divisor of a and 592.
16
Suppose -110 = -2*g - 5*n, n + 3*n + 341 = 5*g. Let z = -47 + g. Let h be ((-15)/(-20))/(1/16). Calculate the greatest common factor of z and h.
6
Let h(z) be the second derivative of z**3/3 + 35*z**2/2 - 30*z. Let y be h(-17). What is the greatest common factor of 9 and y?
1
Let b(a) = -2*a + 70. Let v be b(6). Let h = v - -23. Let r = -7 - -16. What is the greatest common factor of r and h?
9
Let z = -8 - -16. Suppose -z*c - 24 = -10*c. Calculate the greatest common factor of c and 96.
12
Let v = 176 + -167. What is the highest common factor of 963 and v?
9
Suppose 28 = 2*f - 12. What is the highest common divisor of f and 18?
2
Let m = 77 - 44. Calculate the greatest common factor of 44 and m.
11
Let o be 3/(-9)*-141 - 6. Suppose 5*r - 323 = 87. What is the greatest common factor of o and r?
41
Let q = -100 - -137. Suppose 5*a - 9 = -3*t + q, -4*t = -5*a + 32. Calculate the greatest common factor of a and 64.
8
Let n = 175 + -467. Let x = n - -462. What is the greatest common factor of x and 68?
34
Let i(v) = -19*v + 5. Suppose -2*y = -0*y - 18. Let a be i(y). Let s be a/(-8) - 4/(-16). What is the greatest common factor of 42 and s?
21
Let k be (-6 + 2)/(-4)*1. Let h be (94 - 70)*k/((-6)/(-4)). Calculate the highest common div | {
"pile_set_name": "DM Mathematics"
} |
: -683.5 or 4/9517?
-683.5
Is 59/1738709 equal to 1?
False
Which is greater: 930967/44 or 21157?
930967/44
Which is smaller: 344 or 17.67?
17.67
Is 65303374/17 at most 3841375?
True
Which is bigger: 62463 or 62455?
62463
Which is greater: -219497.773 or 0?
0
Which is greater: 1 or 71/78960?
1
Which is greater: -45638 or -161/16?
-161/16
Is 646376/291 less than 2222?
True
Is 5724 at most as big as 1654347/289?
True
Which is bigger: 267379 or -0.047?
267379
Which is greater: -3993395 or -3993403?
-3993395
Which is smaller: -2.314 or 1183?
-2.314
Which is greater: -2/3658998175 or -1?
-2/3658998175
Which is bigger: -6522792 or -6522810?
-6522792
Is -1 at most as big as -247511530?
False
Which is greater: -3986293 or -3986295?
-3986293
Is 0 < 297506?
True
Is 8202 greater than or equal to 8150?
True
Is 52287209 equal to 52287209?
True
Which is greater: -2/7 or 19630992?
19630992
Is 149394 smaller than -36/13?
False
Which is smaller: 0.47 or 9145168?
0.47
Is 1140402 > 1140401?
True
Is 3951732/1429 at least as big as 2764?
True
Does -283843587 = -283843586?
False
Is 48/39174485 >= 1?
False
Is -10227 >= -1956?
False
Is -57895880 smaller than -57895882?
False
Are 1 and -1/17497423 equal?
False
Which is smaller: -1.7 or 28244.4?
-1.7
Is -443029/70 greater than or equal to -6330?
True
Which is bigger: 0.6 or 1/135726?
0.6
Which is bigger: -63814651 or -63814649?
-63814649
Is -40/13436817 at most as big as 0?
True
Which is smaller: -38 or -241833?
-241833
Is -1 < 48/72187?
True
Is 997068 <= 997496?
True
Do -1330 and -339 have the same value?
False
Which is smaller: -166804 or -167445?
-167445
Is 2/679 <= 98?
True
Which is smaller: -2332854 or -2332762?
-2332854
Is 33/61309 at least 2?
False
Which is smaller: -7365/6422 or -1?
-7365/6422
Are -21957 and -2437217/111 non-equal?
True
Is 1 equal to 3816/12043?
False
Which is greater: -1353677 or -17?
-17
Which is bigger: -36336/845 or -43?
-43
Is -1 smaller than 1187699?
True
Which is bigger: 1 or -426888351?
1
Is 21830115 smaller than 21830117?
True
Which is bigger: 155/301994 or 1?
1
Are -9 and -23821/3147 equal?
False
Which is bigger: 273/2611522 or 1?
1
Which is smaller: 272/211999 or 2/7?
272/211999
Is -39949 at most as big as -42050?
False
Which is bigger: -837266 or -837200?
-837200
Are -219328 and 60.1 unequal?
True
Is 6102993 equal to 6102992?
False
Which is smaller: 1363/22624 or 1?
1363/22624
Which is greater: 971577/2750 or 352?
971577/2750
Which is greater: 190456/927 or 204?
190456/927
Do 500497 and 2502486/5 have the same value?
False
Which is bigger: -95717 or -140?
-140
Which is smaller: -41219/1715 or -23?
-41219/1715
Is -855863 <= -855868?
False
Which is greater: -170528936/13 or -1/3?
-1/3
Is 7 < -1372142/3?
False
Which is bigger: -38357 or -1419234/37?
-38357
Which is greater: 2/23726417 or 6?
6
Is -1040053149 < 3/5?
True
Is 128980/19093 less than or equal to 8?
True
Is -0.31 less than 242185?
True
Is -391830 at most -391819?
True
Which is greater: -0.2 or -76003940?
-0.2
Which is smaller: -200154 or -2601984/13?
-200154
Is -1 at least as big as 492/47687?
False
Which is greater: -88678708 or -88678718?
-88678708
Is -54314 greater than or equal to -50766?
False
Are 84374332 and 84374324 equal?
False
Which is smaller: -303872 or -304837?
-304837
Which is smaller: 21654454 or 21654456?
21654454
Is 1801746 smaller than 34233181/19?
True
Which is bigger: 11421996 or 194173914/17?
11421996
Which is smaller: 2663 or 69267/26?
2663
Which is bigger: -70817133 or -70817131?
-70817131
Which is greater: -3176481 or -3176484?
-3176481
Do -1 and -2125/13326 have different values?
True
Which is smaller: 0 or -1/3196496?
-1/3196496
Which is smaller: 4505399 or -7?
-7
Which is greater: -4441 or -7156?
-4441
Is -5/19995448 bigger than -1?
True
Is -4489074/25 < -179564?
False
Is -1 not equal to 4/155342545?
True
Is -1586/7853 < 0.2?
True
Which is smaller: 581012 or 581036?
581012
Is -2910970 greater than or equal to -2910978?
True
Which is smaller: 1095/8288 or 0.1?
0.1
Is -0.1 greater than -632183015?
True
Which is greater: 10 or 0.03885016?
10
Which is smaller: -2.621 or 487?
-2.621
Which is smaller: 400029/31 or 12905?
400029/31
Which is greater: -245.5 or -5528?
-245.5
Does 210981803 = 1?
False
Which is bigger: 10026 or 9917?
10026
Is 7338667 smaller than 7338636?
False
Which is smaller: -2/77 or -177642?
-177642
Which is smaller: 814648 or -19/5?
-19/5
Is 4982246 bigger than 4982247?
False
Which is smaller: 22096026 or 22096024?
22096024
Which is smaller: -3904962 or -5?
-3904962
Does -6439619 = -45077325/7?
False
Are 369256 and 369245 non-equal?
True
Is -266622 bigger than -266622?
False
Is 22 bigger than -610017?
True
Is 0 <= 211/174148?
True
Is 78/26776375 equal to 1?
False
Is 1/2 less than or equal to 408882917?
True
Are -53 and 1.142 nonequal?
True
Which is greater: -306698671 or -306698670?
-306698670
Is -460 < 39652?
True
Which is bigger: -15960422 or -15960421?
-15960421
Which is smaller: 0 or -445/1766658?
-445/1766658
Are 21218/707 and 31 non-equal?
True
Are 47178 and -2/2535 non-equal?
True
Are 136069454/7 and 19438493 equal?
False
Is -2126170 greater than -2126098?
False
Is -1 less than -56/139305?
True
Which is bigger: 38.13 or -185713?
38.13
Which is greater: -800.4 or 3321/8?
3321/8
Is 534/1948177 at most as big as 0?
False
Is -588416015 greater than -588416015?
False
Is -1 greater than or equal to -2/1213598503?
False
Which is greater: 26452 or 500?
26452
Is -6886892 >= -6886892?
True
Does 1.039 = 2/517?
False
Which is smaller: -1296914 or -1296918?
-1296918
Which is bigger: -115685 or -115704?
-115685
Which is smaller: -6/163 or 97.94?
-6/163
Which is bigger: 3765187 or -8?
3765187
Which is smaller: -240219160 or -240219163?
-240219163
Is 223 bigger than 56755/17?
False
Is -68/132629 <= -1?
False
Which is smaller: -0.2 or 133346859?
-0.2
Which is bigger: 2375622 or 21380600/9?
21380600/9
Is -1/34406 equal to -416?
False
Is 1.13418071 smaller than -2?
False
Which is greater: -696.29 or 9.2?
9.2
Is -0.07874932 less than 0.1?
True
Which is greater: 410400 or 10259973/25?
410400
Is 3/5 bigger than -17533971?
True
Is -71865169 smaller than -71865166?
True
Is 1 at most as big as 26/1167435?
False
Is -1514790/43 bigger than -35227?
False
Which is greater: -1490239 or -9.4?
-9.4
Is -4175152 smaller than -4175152?
False
Which is smaller: -53213 or 688?
-53213
Do -1 and 3/88713314 have the same value?
False
Which is smaller: -5/1152 or 812?
-5/1152
Is 32044 > 224314/7?
False
Is 5145 >= -16.3?
True
Is 228/388777 smaller than 1?
True
Which is bigger: 3642 or 5451?
5451
Is 1165/4177 at most as big as -156?
False
Is 84 at most as big as 180791/2157?
False
Which is bigger: 66244 or 1258634/19?
66244
Which is greater: -49 or -5866.67?
-49
Which is greater: -1 or 1/190649598?
1/190649598
Is -2317088/373 bigger than -6211?
False
Which is smaller: -60/523289 or 1?
-60/523289
Is -6 bigger than -66235122?
True
Which is bigger: 10 or 5421/551?
10
Which is bigger: 523881 or 524016?
524016
Which is smaller: 1 or 55.84125?
1
Which is greater: 7 or 17967332?
17967332
Is 0.4312 != -8311?
True
Which is smaller: -46877 or -47141?
-47141
Which is greater: 6 or 75278/10491?
75278/10491
Which is greater: 1300467 or 1300557?
1300557
Which is greater: -11053827 or -11053830?
-11053827
Which is greater: -71 or -238415/3428?
-238415/3428
Is 472 equal to -34461?
False
Which is smaller: 9844/245 or 41?
9844/245
Which is smaller: 1425496 or 1425479?
1425479
Is 140089/238 != 590?
True
Which is smaller: -3480850 or 5/6?
-3480850
Which is greater: 182303 or 182587?
182587
Which is smaller: -36404121 or -36404102?
-36404121
Is 145295 at most 145285?
False
Are 537307102 and 537307102 equal?
True
Which is bigger: -5/6570536 or 1?
1
Which is smaller: 7154/126955 or 0?
0
Is -0.04 less than or equal to 10187394?
True
Which is smaller: 1723430 or 1723429?
1723429
Do 78324690 and 78324690 have different values?
False
Is 0 > 8508/113039?
False
Is -1 less than or equal to 622/2823?
True
Which is smaller: 153106 or 153022?
153022
Which is smaller: 1 or 2/72784363?
2/72784363
Is 682368955/4 >= 170592238?
True
Is -9664562 at most as big as -9664594?
False
Is 118/5 < -7138?
False
Which is smaller: 1468/1042601 or -1?
-1
Which is smalle | {
"pile_set_name": "DM Mathematics"
} |
be (4/6)/((-6)/(-81)). Let b(r) = r**3 - 10*r**2 + 10*r - 7. Let j be b(s). Solve -3*k = j*k for k.
0
Let b(t) = t**2 - 20*t + 56. Let f be b(3). Solve 16*c - f = 15*c for c.
5
Suppose 18 + 30 = -12*j + 28*j. Suppose 2*l + 11 = 3*n, -5*n - 1 + 2 = l. Solve -j*w = n - 10 for w.
3
Let p = 648 - 395. Solve -2*u = 257 - p for u.
-2
Let v be (6 - 0) + -2 + 6. Let y = 11 - v. Let p = 5 + -2. Solve 4*h = -p - y for h.
-1
Let z(c) = -3*c - 23. Let k be z(-8). Solve k + 3 = -4*o for o.
-1
Let r be 29/3 - (-2)/6. Suppose 24 = -7*j + r*j. Suppose 4*s + w = 13 + j, -33 = -3*s + 5*w. Solve -31 = 5*z - s for z.
-5
Let v = 108 - 97. Suppose 9 + v = 10*q. Solve q*f + 0 = -2 for f.
-1
Let q(t) = -t**3 + 4*t**2 + 6*t + 3. Let j be q(5). Suppose 0 = j*f - 92 - 28. Solve -2*g - 3*g = -f for g.
3
Let p be (-2)/(-9) + 0 - 140/(-18). Solve -2*a = p*a for a.
0
Let g be ((-10)/5)/((-7 - -3) + 2). Suppose 0*c - 5*c + 2*n + 2 = 0, 0 = -4*c + n + g. Solve c*z - 5*z - 5 = 0 for z.
-1
Suppose 4*z - k = -9 - 25, -4*z + 2*k - 32 = 0. Let n = z - -12. Suppose -j - n = -6. Solve -p = -j*p for p.
0
Let b(w) = -19*w - 623. Let o be b(-33). Solve o*s = -223 + 219 for s.
-1
Suppose 3*r - 4*r = -3, 4*u = -5*r + 43. Suppose -3*f + u = -8. Let m(q) = q**3 - 4*q**2 - 5*q + 3. Let h be m(f). Solve -1 + 7 = -h*s for s.
-2
Let q = 2233 - 2231. Solve 0 = -q*j - 16 + 6 for j.
-5
Suppose -125 - 5 = 5*g. Let x = g - -29. Solve x*j = 12 - 3 for j.
3
Let u(n) = n - 3. Let z be u(10). Suppose 0 = 798*o - 794*o - 32. Solve 3*l - z*l = -o for l.
2
Let w(f) = f**2 - 13*f + 22. Let y be w(11). Solve y*d - 2*d + 8 = 0 for d.
4
Let g be 11 - 14 - (-12 - 0). Suppose 5*l = 4*x + 206, -3*x - 48 = -l - g. Suppose 5*h = 5*d + 8 + l, 3*h = -4*d + 16. Solve -h = -j - j for j.
4
Let c(r) = -8*r + 2. Let s be c(7). Suppose 36*k + 59 = 167. Let j be (-18)/s - (-11)/k. Solve 3*n - 11 = j for n.
5
Suppose -23 = -8*d - 7. Suppose -2*h = -d*m + 2, 6*m - m = -5*h + 15. Solve r - h = -0*r for r.
1
Let w(y) = y**2 - 13*y + 3. Let i be w(13). Suppose -2*s + 1 = -i. Let n be -1 + 3*(3 - s). Solve -n - 1 = k for k.
-3
Let o be (-2 - -2)/(-6 + 4). Solve 14*r - 17*r - 3 = o for r.
-1
Let o(h) = h + 4. Let t be o(0). Suppose -t*b + 6*b + 4 = 0. Let c be (2 - (-4)/b)/(-2). Solve -2*l - 2*l = c for l.
0
Suppose 0 = -4*c + s - 95, 0 = -3*c + s - 3*s - 74. Let z = 32 + c. Suppose a + 4*y = 4, -a - 4*y + z*y = -12. Solve -2*q + 0 = a for q.
-4
Suppose -58*w + 1976 = -3998. Solve -4*z + w = 123 for z.
-5
Let a be (48/9)/(4/6). Suppose -u + 27 = a*u. Solve -28 = -5*s - u for s.
5
Let b be ((-5)/((-35)/(-2)))/((-1)/7). Suppose 3*s = 4*g + 53, -4*g = -b*s - g + 36. Solve 3*a = -0*a + s for a.
5
Let g be 0 + (2 - (-4 + 16)). Let t = 21 - g. Let c = t - 31. Solve 1 = -c*q - q for q.
-1
Let z = 14 - 10. Let k(p) = -2*p - 15. Let u be k(-4). Let c = u + 12. Solve z*d - 4 = c*d for d.
-4
Suppose -2 - 3 = -4*r - u, 2*r = 4*u + 16. Let m be 4/(-10) - (-24)/10. Suppose 0 = m*i + 3*i. Solve i = 4*z - r*z + 8 for z.
-4
Suppose 0 = -z + 4*z. Suppose 4*p = 3*i - 56, z = 3*i + p - 3*p - 52. Suppose -b - 8 - 2 = -2*v, 3*v - 2*b - i = 0. Solve 21 + v = -5*c for c.
-5
Suppose -90*x + 12214 = -566. Solve -4*h - x = -146 for h.
1
Suppose 0 = -p + z + 13, p - 5*p - 2*z + 76 = 0. Solve -p*c = -15*c - 10 for c.
5
Suppose p - 5*p + 280 = 0. Let i be 260/p - (-2)/7. Let x be i/(-14)*(6 - 20). Solve 0 = -4*s + 8 + x for s.
3
Suppose 0 = 2*w + 13*j - 8*j + 15, 3*j = -9. Solve 4*m = -w*m + 9*m for m.
0
Let o be (4 + 3)*(6 + 1). Let v = 49 - o. Solve 3*h + h = v for h.
0
Suppose 3*d - 2*t - 305 = 0, -5*t + 70 - 360 = -3*d. Solve 0 = -107*y + d*y for y.
0
Let p be 12*(4 + 105/(-28)). Solve -4 = p*d - d for d.
-2
Suppose -15 = t - 4*t. Suppose -i - 3*i = 0. Let a be (0 + 2)*(i - -2). Solve -a*n = n - t for n.
1
Let d(o) = o**3 + 15*o**2 + 13*o - 9. Let y be d(-14). Let a(m) = m**3 - 6*m**2 + 9*m - 10. Let g be a(y). Solve 5*j = 3*j + g for j.
5
Let m be 0*8/96*-3. Suppose 3*k + k - 100 = 0. Solve 5*d = -k - m for d.
-5
Let i be (-1)/2 - (-18)/12. Suppose -2*g - x + i = 0, g + 4*x - 1 = -11. Solve g - 7 = -k for k.
5
Let k(c) = 4*c**2 - c. Let f(r) = -r**2 - 8*r + 1. Let g be f(-8). Let t be k(g). Suppose -3*w - 2 = -2*u + 5, -t*w = 3. Solve z - u*z = 0 for z.
0
Let d(m) = -3*m**2 + 78*m - 60. Let p be d(25). Solve 0 = 7*b - 4*b + p for b.
-5
Let i(g) be the first derivative of -g**4/4 - 19*g**3/3 - 9*g**2 + 6*g - 15. Let q be i(-18). Solve q*d - 4*d = -10 for d.
-5
Let j be (-692)/(-28) + (-6)/(-21). Suppose q = 6*q - j. Solve -6*z + q = -z for z.
1
Let i be 24/9*(-1710)/(-8). Suppose -a - i = 5*a. Let w be (-2)/5 + (-323)/a. Solve 2*c - w = -1 for c.
1
Let g = -14 - -18. Suppose -g*a = -12, -3 = 3*s + s - a. Solve s*p = 5*p for p.
0
Let j be 2/(-3)*(-18 - 0/(-3)). Let k(u) = u**2 - 14*u + 24. Let r be k(j). Solve r = 5*w - 2 + 12 for w.
-2
Let f(l) = l**3 - 2*l**2 - 2*l + 7. Let w be f(4). Solve -12 = w*r - 27*r for r.
-3
Let d(s) = s**3 - 7*s + 15. Let x be d(3). Solve 7*j = 56 - x for j.
5
Suppose -3*w = 70 - 82. Solve w = 4*g - 8 for g.
3
Let f(m) = 3*m**3 - 16*m**2 - 3*m + 26. Let l(i) = i**3 + i**2 - i. Let u(k) = f(k) - 2*l(k). Let v be u(18). Solve 2 + v = -5*p for p.
-2
Let n be 344/32 + -7 - (-1)/4. Solve 0*g - 2*g + n = 0 for g.
2
Let h(o) be the second derivative of o**5/20 + 5*o**4/6 + o**2 + 2*o. Let x be h(-10). Solve x*j = -2*j + 20 for j.
5
Let v(c) = c**2 - 11*c + 22. Let f be v(10). Let m be (-8)/f + (-42)/(-9). Solve 0 = -2*h + m*h + 10 for h.
-5
Let s = -19 + 23. Solve 5*l + 4 = s*l for l.
-4
Let f(l) = -l**2 + 25*l - 30. Let z be f(16). Suppose 10*t = z - 4. Solve 5 = -10*h + t*h for h.
5
Suppose 2*n + 227 = -3*q, -2*n - 4 = -n. Let p = -71 - q. Solve 0 = -o - p + 7 for o.
5
Suppose -41*u + 70 = -422. Solve -27 = -5*o - u for o.
3
Suppose -67*s = -65*s. Suppose 13*w - 20*w + 28 = s. Solve -2 = w*z - 10 for z.
2
Let j be ((-700)/(-42))/((-10)/(-15)). Solve -i + 6*i - j = 0 for i.
5
Let j = 51 + -73. Let d = j - -27. Solve d*q = 2 + 3 for q.
1
Let j(r) = r**3 + 5*r**2 - 7*r - 1. Let v be j(-6). Suppose -4*l = -v*l. Suppose l = -8*b + 3*b + 10. Solve -b - 2 = -y for y.
4
Suppose 5*h - 84 = -9. Let k(r) = -r**3 - 3*r**2 + 4. Let u(i) = -i**2 + 3*i + 7. Let f be u(5). Let x be k(f). Solve h = x*j - j for j.
5
Suppose -14*f + 10*f + 36 = 0. Solve -10 - 8 = -f*b for b.
2
Let k = -66 - -68. Let i(x) = 3*x - 4. Let n be i(k). Solve -f + n*f + 1 = 0 for f.
-1
Let a be (10/(-4))/(6 + (-221)/34). Solve 5*w + a*w = -30 for w.
-3
Let r = -670 - -670. Solve 0 = 3*v - 6 - r for v.
2
Suppose c = -3*t + 48, -27 = -t + c - 5*c. Solve -n = 4*n - t for n.
3
Let l be (2 - 5) + 10 + -3. Solve -19*x = -l*x + 15 for x.
-1
Suppose 5*x = -5*g + 10, g = -g - 4*x. Let n be (15/(-30))/((-1)/(-2)). Let q be 6*(-3)/(-2) + 2/n. Solve -g*u - q = 5 for u.
-3
Suppose -4*w - s + 1 + 4 = 0, 2*w = 5*s + 19. Solve 3*v + w*v = -5 for v.
-1
Suppose 56 = 3*g + 5*g. Suppose -o - o - 3*q + 8 = 0, -3*o = -5*q + g. Solve -3*f + 4 = o for f.
1
Let f = 7 - 3. Let j be (-2*(-4)/12)/((-2)/(-51)). Suppose -j = -5*a + 58. Solve a = f*c + 3 for c.
3
Suppose 2*o - 12 = -2, 2*q + 3*o - 77 = 0. Solve q = -15*k + 1 for k.
-2
Let u(c) = 3*c**2 - 11*c + 8. Let k be u(4). Solve 5*a + k = a for a.
-3
Let c(u) = -15*u - 161. Let m be c(-11). Solve -4*s = 4 + m for s.
-2
Let q be (-6)/(-10) + 37/5. Suppose -17*g = -21*g - q. Let x be (0 + 0)/(g - -4). Solve 5*d = -x*d + 10 for d.
2
Let a(j) = -6*j**2 + 12*j - 1. Let u be a(2). Let r(f) = -f**2 + f + 2. Let l be r(u). Solve c + 3*c = l for c.
0
Suppose 0 = -0*v - 8*v + 5*v. Solve v = -17*b + 6*b + 11 for b.
1
Suppose 0 = 3*s + z - 22, -3*z - 4 + 14 = 2*s. Suppose 0 = 4*w - s. Solve 8 - w = -2*o for o.
-3
Let s(l) = -l**3 - 35*l**2 - 3*l - 103. Let x be s(-35). Solve 0 = -3*v - x*v - 15 for v.
-3
Let p = 43 + -37. Let w be (p - 3)/(5 - 4). Solve -w*t - 2 = 13 for t.
-5
Let v(h) = 16*h**3 - h**2. Let p be v(1). Let k be p/10*(-12)/(-9). Let f be (-3)/(k + -2 + -1). Solve f*n - 4 = 4*n for n.
-4
Suppose 2*x + 2*c - 15 = c, 5*x - 27 = c. Solve 5*h + x = 11 for h.
1
Let c(s) = s**2 - 8*s + 3. Let l be c(6). Let w be (-4)/(-6) + (-66)/l + -1. Solve 3*r + w = -8 for r.
-5
Let h be (4 + -3)/((-6)/(-18)). Let q = -1 + h. Solve -4 = 3*a + q for a.
-2
Suppo | {
"pile_set_name": "DM Mathematics"
} |
rt(34)/sqrt(2))).
-3265 - 60*sqrt(17)
Simplify 2 + -5 + ((sqrt(320) + sqrt(320) + sqrt(320) + sqrt(320)*2 + sqrt(320))*6)**2 + -4 + 5.
414718
Simplify (((sqrt(432)*-2*6)/(sqrt(24)/sqrt(2)*-1 - sqrt(12)))/(4*(sqrt(1452)*1 - sqrt(1452) - sqrt(108)/(sqrt(9)*2))))**2.
27
Simplify (-5*(-5 + sqrt(272)*-1) + (-2*(sqrt(272)*1)**2 - sqrt(272) - (1 + sqrt(272) + 1)**2))*4 + 5.
-3175
Simplify ((3 + -1*sqrt(832) - (sqrt(832) - sqrt(832)*-1*2)) + 0 + (sqrt(832) + 0 + sqrt(832) + 4 - (sqrt(832) - (1 + -2*sqrt(832)))))**2.
-640*sqrt(13) + 20864
Simplify 5*-2*3*(-4 + (6*(2*sqrt(396))**2 - (4 + -2*sqrt(396)))*2).
-569880 - 720*sqrt(11)
Simplify (5 + (-3*sqrt(27)/sqrt(9)*2 - (sqrt(33)/(sqrt(99)/sqrt(9)) + 5)))**2.
147
Simplify -3 + ((1 + sqrt(11))*-6 + -1*sqrt(44))*-4 - (6*(sqrt(275)*2 + -5 - (sqrt(275) + -2 + (2*sqrt(275) - sqrt(275) - sqrt(275)))))**2.
-10203 + 1112*sqrt(11)
Simplify ((sqrt(208) + -1)*2*6 + -3 + 0 + -6*1*sqrt(208) + -4)**2.
-912*sqrt(13) + 7849
Simplify (((sqrt(17) + (sqrt(17) + sqrt(17)*3)*-4 - (sqrt(17) - -2*sqrt(2057))) + 5*sqrt(102)/(-1*sqrt(96) + sqrt(96) - sqrt(96)))*-2*-2)**2.
419033
Simplify (sqrt(56) + sqrt(336)/sqrt(6))/sqrt(8) + sqrt(14)/(sqrt(2)*1) - (-1*sqrt(84)/sqrt(4))/(sqrt(27)*6).
55*sqrt(7)/18
Simplify (-4 + ((sqrt(1088) - (0 + sqrt(1088) + 1 - sqrt(1088))) + sqrt(1088))*-4 - (-1 + (-1 + sqrt(1088))*3 + 5))**2*6.
1056*sqrt(17) + 789894
Simplify 3 + -3 + -3 + 3*sqrt(180)*2 + (sqrt(180) + sqrt(180)*-1*-6 + sqrt(180) - (sqrt(180) - (-5 + sqrt(180) + -1))).
-9 + 84*sqrt(5)
Simplify ((sqrt(1728) - (-5*-2*sqrt(1728) - sqrt(1728))) + sqrt(1728)*-1*5 + sqrt(1728))/((sqrt(648)*-2)/(sqrt(14)/sqrt(63))).
8*sqrt(3)/3
Simplify (4*((sqrt(33) - (sqrt(165)*-2 - sqrt(165))/sqrt(5)) + sqrt(4752)*-1))/((sqrt(576) - sqrt(576)*2 - sqrt(576))/(sqrt(432) + sqrt(432)*-1 - sqrt(432))).
-24*sqrt(11)
Simplify (-2*(sqrt(78) + (3*(sqrt(78) - (sqrt(78) + sqrt(78)*-1 + sqrt(78))) - sqrt(78))))/((sqrt(66)*2)/sqrt(11)*2) + 4.
4
Simplify ((2*sqrt(4)/(sqrt(6)/sqrt(3))*-2 - (sqrt(24)/(sqrt(588) - -1*sqrt(588) - sqrt(588)) + 3)**2) + 3)*-3.
888/49 + 102*sqrt(2)/7
Simplify -1 + -4 + -1*((-3*(sqrt(441) - -1*sqrt(441)))/sqrt(9))/(-1*sqrt(448)*-4).
-5 + 3*sqrt(7)/16
Simplify -1*3*(4 + (sqrt(128) - (sqrt(128) + 0)) + (6*-2*sqrt(128))**2 + 2)*-1*6.
331884
Simplify (((sqrt(539) - (sqrt(539) - (1 + sqrt(539)))) + 5 + (sqrt(539) - (sqrt(539) + -1)*-1) + 5)**2 + (-5*4*5*sqrt(99)*1)**2)*-4.
-3979804 - 1680*sqrt(11)
Simplify ((5 + sqrt(500) + -1)*-4 - ((1 + sqrt(500))*4 + sqrt(500) + (sqrt(500) - (3 + 2 + sqrt(500)))))**2.
2700*sqrt(5) + 40725
Simplify (-1*(-1 + (-5 + -3 + sqrt(832) + sqrt(832) + 1 - (-3 + -4 + 1 + sqrt(1872)))))**2.
-16*sqrt(13) + 212
Simplify ((4*sqrt(156) - sqrt(156))*-4)/(sqrt(108)/(-1*sqrt(9))) - -3*(0 + sqrt(1300) - -2*(sqrt(13) - sqrt(78)/sqrt(6)))**2.
12*sqrt(13) + 3900
Simplify (-3*(sqrt(19)*-1 + 2 - -2*sqrt(2736)))**2 + (-2 + (sqrt(38)/sqrt(2))**2 + sqrt(19) + sqrt(19) + sqrt(19) + (sqrt(19) - sqrt(133)/(2*sqrt(7))))*-1.
1649*sqrt(19)/2 + 90478
Simplify (-1*(sqrt(143) + -4*(sqrt(143)*2 + sqrt(143) + sqrt(143)))*3)/((-1*sqrt(891) - sqrt(891))*-2*2).
5*sqrt(13)/8
Simplify 2*((-1*sqrt(88)*-3)/(sqrt(128)*-4 + sqrt(8)) + (sqrt(22)/(sqrt(2)*2) + sqrt(704)*2)*3).
493*sqrt(11)/5
Simplify (sqrt(256)/sqrt(4) + sqrt(4))/(sqrt(200) + -2*sqrt(200))*-5 - (0 + -4 + 1*sqrt(24)/sqrt(48)).
2*sqrt(2) + 4
Simplify -2*sqrt(20)/sqrt(4) + -1*sqrt(405) + (1*sqrt(960) - sqrt(960))/(sqrt(6)/(sqrt(2) - (sqrt(2) + sqrt(8)/sqrt(4) + sqrt(2)))) + -1.
-11*sqrt(5) - 1
Simplify (1*sqrt(1215)*-1)/(3*sqrt(45)*2).
-sqrt(3)/2
Simplify ((-2*(sqrt(112) + 1) + 5 - 3*2*sqrt(112)*5) + 0)**2 + 2.
-768*sqrt(7) + 114699
Simplify 1*((-3*sqrt(495)*1)/(-1*sqrt(324)))/(((1*sqrt(210))/sqrt(6))/((sqrt(7) - (sqrt(77)/(sqrt(11) - sqrt(44)) + sqrt(7)) - sqrt(7)) + sqrt(7))).
sqrt(11)/2
Simplify sqrt(432) + (4*sqrt(432)*-3)**2 + -5 + (sqrt(432) - (-3 + sqrt(432)))**2 - -4*(sqrt(432)*2*-5 + sqrt(432) - (0 + sqrt(432) + 4))**2.
3852*sqrt(3) + 235076
Simplify ((-1*-1*sqrt(136) + (sqrt(136) + -2*sqrt(136) + sqrt(136) + sqrt(136))*-1)*4)/(3*sqrt(288) + sqrt(1024)/sqrt(2)).
0
Simplify (-2*((0 + sqrt(68))*-1 + -2 + sqrt(68) + -3*sqrt(68) + (-2 + sqrt(68) + 4)*4 + -5))**2.
16*sqrt(17) + 276
Simplify (3*(sqrt(136)*2*-2 + sqrt(136))*-5)/(1*(6*sqrt(72)*1)/sqrt(9)).
15*sqrt(17)/2
Simplify 1 + (-1*(sqrt(1872) + sqrt(1872)*-2 - sqrt(1872)) + sqrt(1872) + -4 + 0 + sqrt(1872) - 2*1*(sqrt(1872)*-2 + 5))**2.
-2688*sqrt(13) + 120005
Simplify (((sqrt(5500) + -4*(sqrt(5500) + sqrt(5500)*2 - sqrt(5500)))*-6)/((sqrt(320) - (1*sqrt(320) - sqrt(320)))*-6*5))**2.
539/16
Simplify (sqrt(1573) + -1*sqrt(1573)*-3 - (sqrt(1573) + (sqrt(1573) - 4*-1*sqrt(1573)) - sqrt(1573)) - ((4*sqrt(104))/sqrt(2) + -5))**2.
-190*sqrt(13) + 4718
Simplify (sqrt(120)/sqrt(4)*5 - (sqrt(750) - (sqrt(750) - sqrt(750)*2)))/(sqrt(24) + sqrt(2400)*-1)*2 + 0.
5*sqrt(5)/9
Simplify 2*(sqrt(2448) + (sqrt(2448) + 0)*6)**2 + -5 + -2*sqrt(2448) + 1 + -4.
-24*sqrt(17) + 239896
Simplify (-1 + -1 + -3*(sqrt(1152) + 3 + 3*sqrt(1152) - sqrt(1152)*-2*3))**2.
15840*sqrt(2) + 1036921
Simplify (5 + 5 + -3*-2*(sqrt(28)/sqrt(32))/(sqrt(2) - sqrt(4)/sqrt(8) - sqrt(2)))**2.
-60*sqrt(7) + 163
Simplify (3*(3 + (sqrt(605) - sqrt(605)*1) + (sqrt(605) - ((sqrt(605) - sqrt(605)*1)*6 + sqrt(605))) + sqrt(605) + -1 + 2*-2*sqrt(605)*-5))**2.
8316*sqrt(5) + 2401281
Simplify -4 + -4 + (((sqrt(704) + sqrt(704) + -1)**2 - sqrt(704))*-6 - sqrt(704)) + (1*sqrt(99) - (sqrt(11) + 0)*-1).
-16910 + 236*sqrt(11)
Simplify 4*-3*(0 + ((sqrt(1377)*-2*-2 - sqrt(1377))**2 - (-1 + (sqrt(1377) - 2*sqrt(1377))) - -2*((sqrt(1377) - -2*sqrt(1377))**2 + 3))).
-446232 - 108*sqrt(17)
Simplify ((5*sqrt(156)*-2 + sqrt(156) + (sqrt(156) - sqrt(156)*-1)*-6)*-6)/(-1*(sqrt(12) - 3*sqrt(1200) - sqrt(12))*6).
7*sqrt(13)/10
Simplify (sqrt(66)/sqrt(6)*-4 - (sqrt(11) + (-5*sqrt(396) + sqrt(396))**2)) + (sqrt(99)/sqrt(1089) - (sqrt(1100) + -3 - sqrt(1100))**2) + -4.
-6349 - 54*sqrt(11)/11
Simplify (5*((sqrt(242) + 2 - sqrt(242)) + 2 + sqrt(242) - (sqrt(242) + 1 + -4)) + 2 + 2)**2 + -2.
1519
Simplify ((-6*sqrt(80)*-2)/(sqrt(10) - sqrt(40)/sqrt(64)))/((sqrt(4) + (sqrt(80)/sqrt(4))/sqrt(5) + -4*sqrt(36))*1).
-8*sqrt(2)/5
Simplify -5 + (-4 + (1 + 3*sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108) - (sqrt(108) - (sqrt(108) + sqrt(108) + 1 + sqrt(108) + -3)))*3 + -2 + 0)**2.
-2592*sqrt(3) + 62284
Simplify -6*-3*-2*5*(sqrt(117) + -4 + -4 + sqrt(117)/sqrt(9))**2*6.
-293760 + 69120*sqrt(13)
Simplify 3*(((-6*(sqrt(1053)*-1*2 + sqrt(1053)))**2 - (sqrt(1053) + -3*(-1 + sqrt(1053)))*5) + 3).
270*sqrt(13) + 113688
Simplify 3*-5*(1 + (sqrt(153) + 0 + (sqrt(153) + -2 - sqrt(153)) + (sqrt(153) - ((sqrt(153) + 1 - sqrt(153)) + sqrt(153))*2) + 1)**2)*-6.
900
Simplify -4 + ((-6*sqrt(832))**2 - (sqrt(260)*1)/sqrt(5)) + 1 + 5.
-2*sqrt(13) + 29954
Simplify -5*(4*(6*(-2*sqrt(91) + sqrt(91)))/(-2*sqrt(7)*-1 - sqrt(7)) + 4)**2.
-37520 + 960*sqrt(13)
Simplify (0 + 0 + ((2 + sqrt(208) + 4)*5 - -5*-4*(sqrt(208) + 2)))**2.
1200*sqrt(13) + 46900
Simplify 4 + sqrt(288)/((sqrt(60) + sqrt(540))/sqrt(10) - sqrt(6)) + sqrt(336)/(sqrt(7) - 3*sqrt(7)*6) + -1.
56*sqrt(3)/51 + 3
Simplify ((-1*2*sqrt(204) - (sqrt(204) + sqrt(204)*1)*3)/((sqrt(36)/sqrt(12) - sqrt(588)*-3)*3))**2.
4352/16641
Simplify -2*((sqrt(408)/(sqrt(48)/sqrt(4))*2)/((3*sqrt(64) - sqrt(64))/sqrt(8)) + -5).
-sqrt(17) + 10
Simplify 6*(4 + (4 + -1*sqrt(11) - (-5 + sqrt(55)/sqrt(5)) - (-1 + 6*-1*sqrt(11) + sqrt(11)))**2).
360*sqrt(11) + 1218
Simplify ((((-4 + sqrt(2448))*5 - sqrt(2448)) + sqrt(2448)*-2 + 4)*-1*-4)**2.
-12288*sqrt(17) + 160768
Simplify -1*((1*(-3 + -1 + (sqrt(147) - (sqrt(147) - (sqrt(147) + 2 + sqrt(147) - sqrt(147))) - sqrt(147)) + sqrt(147)))**2*2*-6 + 1).
-336*sqrt(3) + 1811
Simplify -4 + -6*((sqrt(700)*1*2 - sqrt(700))**2 - (-3 + -2*sqrt(700)))*-4.
480*sqrt(7) + 16868
Simplify -4*(1 + -1*sqrt(108)*-6 + -1 + sqrt(108) + (sqrt(108) - (sqrt(108) + 2*sqrt(108)*-1 - sqrt(108))))**2*-1 + -4.
43196
Simplify -1 + -1*-1*(-3 + -5*(-1*sqrt(3564) + -4))**2.
3060*sqrt(11) + 89388
Simplify ((-1*(sqrt(50) + sqrt(50)*-1 + sqrt(50)))/(-2*sqrt(490)))**2 + 1 + sqrt(5) + sqrt(10)/sqrt(2) + (sqrt(180) - ((sqrt(180) + -4)**2 - sqrt(180))).
-38215/196 + 62*sqrt(5)
Simplify (-5*((-5*-2*sqrt(64) | {
"pile_set_name": "DM Mathematics"
} |
8*a + 9/8*a**3.
3*(a - 1)*(a + 1)**2*(a + 2)/8
Let y(h) be the third derivative of h**5/60 + 4*h**4/3 - 24*h**3 - 387*h**2. What is m in y(m) = 0?
-36, 4
Let i(x) be the second derivative of -3*x**2 + 0 + x**3 - 1/8*x**4 - 23*x. What is k in i(k) = 0?
2
Let q(l) be the second derivative of l**8/23520 - l**7/8820 + l**4/6 + 2*l. Let t(o) be the third derivative of q(o). Suppose t(m) = 0. What is m?
0, 1
Let f(t) be the first derivative of -t**3 - 11*t**2/6 - 2*t/3 + 115. Factor f(g).
-(g + 1)*(9*g + 2)/3
Let m(u) be the third derivative of 0 - 5/2*u**4 + 0*u + 50*u**3 + 1/20*u**5 + 33*u**2. Determine z, given that m(z) = 0.
10
Suppose -26*c = -29*c - 150. Let x = c + 251/5. Factor 0 - 3/5*t**2 - 2/5*t + 0*t**3 + x*t**4.
t*(t - 2)*(t + 1)**2/5
Let p(l) = -l**3 - 7*l**2 - l - 5. Let y be p(-7). Let o = 2247 - 6733/3. Factor 8/3*k**4 + 0 + 4*k**3 + 2/3*k + 2/3*k**5 + o*k**y.
2*k*(k + 1)**4/3
Let -4*f**2 - 4*f**5 + 36*f**3 - 5*f**4 + 98*f**2 - 22*f**2 - 3*f**4 = 0. What is f?
-3, -2, 0, 3
Let s = 168/155 - 15/31. Factor -s*r**5 + 0*r + 3/5*r**3 - 3/5*r**2 + 0 + 3/5*r**4.
-3*r**2*(r - 1)**2*(r + 1)/5
Let m = 941/20 + -47. Let r(q) be the first derivative of m*q**4 + 1/15*q**3 - 1/30*q**6 + 0*q - 1/25*q**5 + 0*q**2 + 1. Find c such that r(c) = 0.
-1, 0, 1
Let a(y) be the first derivative of 3*y**5/5 - 15*y**4/4 + y**3 + 63*y**2/2 - 54*y - 69. Factor a(m).
3*(m - 3)**2*(m - 1)*(m + 2)
Let j = -57/2 + 29. Let d(w) be the first derivative of -3 + 1/2*w + j*w**2 + 1/6*w**3. Factor d(m).
(m + 1)**2/2
Let w(x) be the first derivative of -x**6/8 + 9*x**5/10 + 3*x**4/2 - 3*x**3/2 - 21*x**2/8 + 13. Find i such that w(i) = 0.
-1, 0, 1, 7
Let w(g) be the second derivative of -g**5/30 + g**4/18 + 4*g**3/3 + 9*g - 1. Factor w(v).
-2*v*(v - 4)*(v + 3)/3
Let d(g) be the first derivative of -2*g**3/15 + g**2/5 + 12*g/5 - 2. Factor d(t).
-2*(t - 3)*(t + 2)/5
Let n(l) be the third derivative of -1/1680*l**8 + 0*l**6 + 0*l + 0*l**4 - 16*l**2 + 0*l**5 + 0 + 0*l**3 - 1/1050*l**7. Find b, given that n(b) = 0.
-1, 0
Suppose -1458*g + 105 = -1443*g. Let w(x) be the second derivative of 0 + 0*x**4 - 1/40*x**5 + 1/84*x**g + 0*x**3 - 7*x + 0*x**6 + 0*x**2. Factor w(p).
p**3*(p - 1)*(p + 1)/2
Suppose 3*g + 5*m = 34, 5*g - 3*m = -0*g. Let y = -1180 + 5918/5. Let y*k - 2*k**g + 12/5*k**2 - 4/5 = 0. What is k?
-1, 1/5, 2
Let t(v) = 3*v**3 + 6*v**2 - 8*v - 6. Let w(z) = z**3 - 2*z. Let f(p) = -2*t(p) + 10*w(p). Let f(n) = 0. Calculate n.
-1, 1, 3
Suppose -5*z = 5*y, 4*y - 1 + 13 = -z. Let n(l) be the third derivative of 0 + 1/30*l**5 - 1/4*l**z + 0*l + 0*l**3 + 3*l**2. Solve n(v) = 0 for v.
0, 3
Suppose -5*x + 15 = 0, -2*j + 9*x = 4*x + 7. Factor -2*m + 1/4*m**2 + j.
(m - 4)**2/4
Let b be -10*-8*(-7)/(-70). Let y(f) be the first derivative of 1/14*f**4 + 8/7*f**3 + 128/7*f + 48/7*f**2 + b. Factor y(h).
2*(h + 4)**3/7
Suppose 13 = 8*n - 27. Suppose 0 = -4*c + 4*a, a - n = -3. Factor 2/11*b**4 + 4/11*b**3 + 0*b**c - 2/11 - 4/11*b.
2*(b - 1)*(b + 1)**3/11
Let f(p) be the first derivative of 12 + 1/10*p**2 + 2/5*p**4 + 0*p + 1/3*p**3 + 4/25*p**5. Factor f(w).
w*(w + 1)*(2*w + 1)**2/5
Let t = -81 + 409/5. Let b be 6 + 1/((-5)/20). Factor 4/5*r**4 + 0 - t*r**b + 0*r**3 + 2/5*r - 2/5*r**5.
-2*r*(r - 1)**3*(r + 1)/5
Suppose 3*d - 4 = d. Let o be 6655/(-363)*(0 - (-12)/(-10)). Factor 0*m**2 - 16*m - 6*m**d + 6 - o + 2*m**2.
-4*(m + 2)**2
Let x(r) = -r**2 - r + 13. Let u(g) = -1. Let f(p) = -4*u(p) - x(p). Suppose k = -3*k - 8. Let l(a) = 1. Let b(o) = k*f(o) - 14*l(o). Factor b(n).
-2*(n - 1)*(n + 2)
Let m be (-2)/4*48/(-8). Suppose -5 = m*d - 17. Determine o so that o**2 + o**2 - 2*o + 3*o**2 + 2*o**5 - 5*o**d = 0.
-1, 0, 1/2, 1, 2
Let w(b) be the third derivative of b**6/270 + b**5/30 + 2*b**3 - 3*b**2. Let f(h) be the first derivative of w(h). What is r in f(r) = 0?
-3, 0
Let y(l) be the third derivative of l**5/30 - 14*l**4/3 + 784*l**3/3 - 41*l**2 - l. Let y(f) = 0. What is f?
28
Suppose 4*l = -20*h + 18*h + 16, 0 = -2*l - 2*h + 12. Determine n, given that 9/4*n**4 + 3/4*n**5 - 3/4 - 3/2*n**l - 9/4*n + 3/2*n**3 = 0.
-1, 1
Let p = 22 - 52. Let q be (7 - (-207)/p)*4. Factor -q*f**2 - 1/5*f + 2/5 + 1/5*f**3.
(f - 2)*(f - 1)*(f + 1)/5
Let v(t) be the third derivative of 4/35*t**7 + 2*t**4 - 16/3*t**3 + 0 + 0*t - 11/30*t**6 - 1/84*t**8 + 2/15*t**5 - 21*t**2. Solve v(h) = 0 for h.
-1, 1, 2
Determine n so that 3/2*n + 0 - 5/6*n**3 - 1/2*n**2 - 1/6*n**4 = 0.
-3, 0, 1
Let w(x) be the third derivative of x**9/4536 - x**8/630 + x**7/420 - x**3 - 38*x**2. Let b(c) be the first derivative of w(c). Factor b(o).
2*o**3*(o - 3)*(o - 1)/3
Let t(h) = 10*h**3 + 61*h**2 + 80*h + 18. Let c(n) = 2*n**3 + 12*n**2 + 16*n + 4. Let f(u) = -22*c(u) + 4*t(u). Factor f(o).
-4*(o + 1)*(o + 2)**2
Let b(r) be the first derivative of -16/7*r - 8/7*r**2 - 4/21*r**3 - 26. Factor b(m).
-4*(m + 2)**2/7
Determine z, given that 31/4*z - 3/4 - 5/2*z**2 = 0.
1/10, 3
Let 33*c + 60 - 17*c**3 - 44 - 9*c + 3*c**3 - 4*c**2 + 2*c**5 = 0. What is c?
-2, -1, 2
Solve 712*a**2 - 133*a - 313*a + 444*a**2 + 19 + 81 - 234*a = 0.
5/17
Let k(t) be the second derivative of t**5/20 + 11*t**4/6 + 161*t**3/6 + 196*t**2 + 97*t. Factor k(h).
(h + 7)**2*(h + 8)
Let r = -73 - -75. Let 7 + 1 + 2*p**r + 1499*p - 1491*p = 0. What is p?
-2
Suppose -1/7*t**2 + 1/7*t**3 - 2/7*t + 0 = 0. What is t?
-1, 0, 2
Let l(v) = 3*v**2 - 5*v - 6. Let n(b) = b**2 + 4217*b - 4217*b. Let u(m) = 5*l(m) - 10*n(m). Factor u(y).
5*(y - 6)*(y + 1)
Let -3/4*a**4 - 1/4*a - 11/4*a**2 - 11/4*a**3 + 1/2 = 0. What is a?
-2, -1, 1/3
Let k = 34539 + -69075/2. Factor -9/4*l**4 + 0*l + 0*l**2 + k*l**5 + 0 + 3/4*l**3.
3*l**3*(l - 1)*(2*l - 1)/4
Let n = 2444/3 - 4885/6. Factor 0 - p**3 - 9/4*p**2 - n*p.
-p*(p + 2)*(4*p + 1)/4
Suppose 4*y + y = -5*g + 10, 2*g = -3*y + 8. Suppose s - b - 15 = y*b, 3 = s - b. Factor -6/5*k**2 - 4/5*k + 0 + 2/5*k**4 + s*k**3.
2*k*(k - 2)*(k + 1)**2/5
Solve 48/7 - 435*l**4 - 537/7*l**2 + 318/7*l - 5232/7*l**3 - 300/7*l**5 = 0.
-8, -2, -1/5, 1/4
Let n(c) = -80*c**2 - 100*c - 125. Let b = 18 + -14. Let i(a) = -9*a**2 - 11*a - 14. Let f(v) = b*n(v) - 35*i(v). Determine g, given that f(g) = 0.
-2, -1
Let h be (-91*2)/(-4 + 2). Let c be (-1)/(-2) - h/(-14). Factor -4*v + 0*v + 0*v**3 + 2*v**4 + c*v**3 - 3*v**3 - 2.
2*(v - 1)*(v + 1)**3
Let q(b) be the third derivative of b**8/336 + b**7/84 - 3*b**3 + 9*b**2. Let l(g) be the first derivative of q(g). Factor l(s).
5*s**3*(s + 2)
Let i = -411 - -416. Let g(m) be the first derivative of m**4 + 4/3*m**3 - i - 2*m**2 - 4*m. Factor g(t).
4*(t - 1)*(t + 1)**2
Let j(s) = 3*s - 3. Let g be j(1). Suppose -o - 3*o + o = g. Suppose 1/4*m**2 + o + 0*m = 0. What is m?
0
Let l(d) be the third derivative of -d**3 + 6*d**2 - 11/12*d**4 + 0*d + 1/20*d**6 + 0 - 1/6*d**5. Solve l(n) = 0 for n.
-1, -1/3, 3
Let m be 8/60 - (-84)/5*(-24)/(-216). Find z such that 8/7 - 12/7*z**3 - 32/7*z**m - 12/7*z = 0.
-2, -1, 1/3
Let o(w) be the first derivative of 1/2*w**2 - 1/20*w**5 - 4 + 1/6*w**3 - 1/12*w**4 + w. Let b(t) be the first derivative of o(t). Factor b(u).
-(u - 1)*(u + 1)**2
Let w = 2545 - 2545. Let m(r) be the second derivative of 2/15*r**6 + 1/2*r**2 + 3/2*r**3 + 97/48*r**4 - 4*r + w + 9/10*r**5. Suppose m(t) = 0. Calculate t.
-2, -1/4
Let 11*w**3 - 14*w**3 + 552*w**2 + 389344 - 25392*w - w**3 = 0. What is w?
46
Let i = -5 + 6. Let p be 0*(2 + -1) - (-1 - i). Solve 1/5*f**3 + 0 + 0*f - 2/5*f**p = 0.
0, 2
Let b(x) be the first derivative of -10*x**3/27 + 17*x**2/9 - 4*x/3 + 117. Determine l so that b(l) = 0.
2/5, 3
Let y(v) be the first derivative of 0*v**3 + 0*v**5 + 0*v + v**4 + 0*v**2 - 2/3*v**6 - 13. Suppose y(i) = 0. What is i?
-1, 0, 1
Factor 1/2*w**2 + w**4 - 3/2*w**3 + 0 + 0*w.
w**2*(w - 1)*(2*w - 1)/2
Let m(t) be the second derivative of -t**5/20 - t**4/4 - t**3/2 - t**2/2 + 245*t. Determine v, given that m(v) = 0.
-1
Let t(v) be the second derivative of v**7/168 - v**6/72 - v**5/12 + 17*v**3/6 - 4*v. Let n(w) be the second derivative of t(w). Factor n(z).
5*z*(z - 2)*(z + 1)
Let u be (-7 + 1)*(-128)/(-48). Let q = -16 - u. Factor 1/2*m**2 + q - 3/2*m.
m*(m - 3)/2
Determine h so that 0 + 3/7*h**2 + 2/7*h - 8/7*h**3 + 3/7*h**4 = 0.
-1/3, 0, 1, 2
Suppose -1 = 5*a - 31. Let l(i) = i**3 - 9*i**2 + 16*i + 14. Let d be l(a). | {
"pile_set_name": "DM Mathematics"
} |
/30*z**5. Let u(i) = 719*i - 356*i - 362*i. Give j(u(k)).
-2*k**2
Suppose -12*a + 4*a = -16. Let f(n) = -18*n**2 - a*n - 3*n**2 + 22*n**2 + 36*n**2. Let t(c) = -2*c**2. What is f(t(g))?
148*g**4 + 4*g**2
Let m(j) = j**2 - 5. Let z be (-7 + -2)*13/(-3). Suppose -12*t + 9 + z = 0. Let a(x) = -2*x - t*x + 4*x. Determine m(a(o)).
4*o**2 - 5
Let v(f) = -17*f**2 + 48. Let w(r) be the first derivative of -r**2/2 + 2920. Give v(w(y)).
-17*y**2 + 48
Let b(z) = -2*z. Let g(y) = -9*y - 20. Let h be g(-6). Let d(l) = 376*l + 14*l + h*l - 54*l. Give d(b(x)).
-740*x
Let t(d) = 3*d**2 + 73. Let h(r) = -912*r + 1830*r - 923*r. What is t(h(s))?
75*s**2 + 73
Let s(i) be the second derivative of i**4/3 + 17*i. Let m(t) be the second derivative of -3*t**4/2 + t**2 - 300*t + 2. Determine s(m(b)).
1296*b**4 - 288*b**2 + 16
Let m(g) = 13*g. Let q = 2850 - 8549/3. Let z(u) be the second derivative of -6*u + 0 + 0*u**2 - q*u**3. Calculate m(z(k)).
-26*k
Let l(k) = -k**2 + 21*k. Let n(q) = -7*q - 9. Let p(h) = -57*h - 4 + 24*h + 30*h. Let d(z) = -4*n(z) + 9*p(z). Determine l(d(u)).
-u**2 + 21*u
Let a(l) = -5*l. Let h(v) = -4610694*v**2. Calculate a(h(b)).
23053470*b**2
Let g(j) be the second derivative of -j**4/12 + 10*j**2 + 521*j. Let w(k) = -5*k. Determine g(w(r)).
-25*r**2 + 20
Let u(r) = -4*r**2 - 2. Let f = -180 + 177. Let g(t) = -t**2 - t. Let x(a) = -6*a**2 - 3*a. Let c(b) = f*g(b) + x(b). What is c(u(i))?
-48*i**4 - 48*i**2 - 12
Let t(l) = -8*l**2 - l. Let f = 11 + -9. Let i(w) = -13*w + 113. Let r be i(8). Let o(y) = -16*y**f - 14*y**2 - r*y**2 + 38*y**2. What is t(o(d))?
-8*d**4 + d**2
Let a(d) = 2598*d + 92. Let k(t) = 33*t**2. Determine a(k(i)).
85734*i**2 + 92
Let u be ((-28)/(-10))/(-7)*-270. Let t = -106 + u. Let q(d) = -75*d**2 + 64*d**t - d + d. Let j(c) = c**2. Determine q(j(z)).
-11*z**4
Let y(d) be the third derivative of d**5/15 + 5851*d**2. Let v(p) = -p**2 + 695. Calculate v(y(n)).
-16*n**4 + 695
Let w(h) = -8467419 - 2*h**2 + 8467419. Suppose 0 = 7*v - 2*v - 110. Let g(l) = -4*l + v*l + 5*l. Give g(w(r)).
-46*r**2
Let a(k) = -k**2. Let q be -9 - -28 - (-7)/(-1). Let j(r) = 0*r**2 + q*r**2 + 60*r**2. Give j(a(u)).
72*u**4
Let x(t) be the second derivative of -49*t**3/3 - t**2 - t + 1649. Let n(o) = -6*o - 1. Calculate x(n(l)).
588*l + 96
Let v(y) = 82575*y. Let j(w) = -121*w**2. Determine j(v(l)).
-825054305625*l**2
Let b(t) = -11 - 480*t + 981*t - 480*t. Let k(x) be the first derivative of 2*x**2 - 2*x + 2. Let n(m) = -2*b(m) + 11*k(m). Let s(g) = -2*g. Give s(n(f)).
-4*f
Let n(l) = -2*l + 16. Let u(f) = 21*f**2 - f + 8. Let w(q) = 2*q**2 - q + 8. Let a(s) = u(s) - w(s). Give a(n(r)).
76*r**2 - 1216*r + 4864
Let n(a) be the third derivative of -2*a**5/15 + 15*a**2 - 54. Let d(s) = 18*s**2 - 13. What is d(n(j))?
1152*j**4 - 13
Let c(r) = -34*r. Let n(h) = -9*h + 3*h - 17*h + 6*h - 10*h. Give c(n(v)).
918*v
Let m(n) be the first derivative of 4765*n**3/3 - 2236. Let g(r) = -r**2. Calculate g(m(h)).
-22705225*h**4
Let l = 222 - 137. Let u(z) = -43*z + l*z + 30*z. Let o(d) = -3*d**2. Calculate u(o(a)).
-216*a**2
Let c = 0 + 2. Let r(k) = -11*k**c + 3*k**2 + 5*k**2 + 9*k**2. Let b(y) = 6*y. Give b(r(w)).
36*w**2
Let l(i) = 25204*i**2 - 12*i + 6. Let a(p) = 2*p. Give l(a(q)).
100816*q**2 - 24*q + 6
Let w(b) = -1656*b. Let m(t) = t**2 - 269 - 35 + 304. Give w(m(k)).
-1656*k**2
Let x(y) = -11*y - 10*y + 21*y + y**2. Let c(s) = 6*s - 39. Let z(h) = -2*h + 14. Let t(b) = 3*c(b) + 8*z(b). Determine t(x(w)).
2*w**2 - 5
Let d(p) = 4*p**2 + 21*p. Let s(h) = 3*h**2 + 14*h. Let j(k) = 2*d(k) - 3*s(k). Let f(g) be the third derivative of 121*g**4/24 + 4*g**2. Calculate f(j(u)).
-121*u**2
Let a(l) = -28*l**2 - 2*l. Let v(m) = -20*m - 35*m + 78*m - 3*m. What is v(a(p))?
-560*p**2 - 40*p
Let g(h) = -11*h. Let a(y) = 2*y + 22. Let t(l) be the first derivative of -4*l + 3*l + 25 - 2*l + 2*l. Let b(p) = 2*a(p) + 44*t(p). Determine g(b(i)).
-44*i
Let r(c) = c - 3. Let g(f) = 2. Let v be (9/(-15))/(5/(-125)). Let o be 0/(-1) - (18 - v). Let d(u) = o*g(u) - 2*r(u). Let b(w) = 5*w. Determine d(b(z)).
-10*z
Let f(k) = 2*k - 204. Let o(w) = 823*w. Calculate f(o(g)).
1646*g - 204
Let d(u) = -u. Suppose -43*v + 49 - 22 = -16. Let z(n) = 3*n - 6*n - 3 - 3*n**2 + 0*n**2. Let y(x) = x**2 - x - 1. Let l(i) = v*z(i) - 3*y(i). Give d(l(o)).
6*o**2
Let h(y) = 34*y + 2. Let v(q) = q**3 - 25*q**2 - 24*q - 50. Let o be v(26). Let m(s) = 11*s**o - 23*s**2 - s + s + 14*s**2. Determine m(h(i)).
2312*i**2 + 272*i + 8
Let x(a) = 11 - 8228*a + 8230*a - 11. Let f(s) = 398*s - 96*s + 81*s. What is f(x(t))?
766*t
Let q(k) = 6*k**2. Let r(j) be the second derivative of j**5/12 - j**3/3 + 70*j. Let i(c) be the second derivative of r(c). What is i(q(s))?
60*s**2
Let b(q) be the third derivative of -q**4/8 + 2*q**3/3 - 503*q**2. Let k(c) = -5*c**2. Calculate k(b(r)).
-45*r**2 + 120*r - 80
Let h(o) = 4*o**2. Let m(a) = -5 + 528*a - 86*a - 7 + 12. What is m(h(b))?
1768*b**2
Let s(g) = 20*g**2 - 64*g. Let m(z) be the first derivative of -z**2/2 - 8575. Calculate s(m(x)).
20*x**2 + 64*x
Let n(s) = -4*s**2. Suppose a = -l + 3*l - 1, 15 = 5*l. Suppose -278 = -a*w - t, 5*t + 33 = -3*w + 213. Let b(o) = -67*o + 132*o - w*o. Give n(b(r)).
-400*r**2
Let p(m) = -5*m. Let d(t) = 40*t**2 + 3. Let j(k) be the second derivative of 50*k**4/3 + 8*k**2 - 10*k - 5. Let w(c) = 16*d(c) - 3*j(c). What is w(p(x))?
1000*x**2
Let q(j) = -6*j. Let x(v) = 87*v - 207*v - 3471 + 3471. Give x(q(n)).
720*n
Let k(c) be the first derivative of -c**4/12 - 5*c**3/2 + 7*c**2 + 31. Let b(v) be the second derivative of k(v). Let n(r) = 2*r**2. Give n(b(d)).
8*d**2 + 120*d + 450
Let f(j) = 15*j. Let g = -6444 + 74707. Let o(a) = g - 68263 + 5*a. What is f(o(d))?
75*d
Let u(d) = -6*d. Let v(a) be the first derivative of 8 + 0*a**2 + 8/3*a**3 + 0*a. Calculate u(v(c)).
-48*c**2
Let j(n) = n + 5. Suppose -3*q + 5 - 12 = -2*y, q - 9 = -5*y. Let f(z) = 38638*z + 4*z**y - 38638*z. Give f(j(r)).
4*r**2 + 40*r + 100
Let w(b) = 20*b**2 - 24*b + 8. Let m(z) = 4 + z**2 - 10 + 6 - 2*z**2 - 3*z + 1. Let p(n) = 8*m(n) - w(n). Let a(i) = -i**2. Give p(a(t)).
-28*t**4
Let a(n) = 70*n. Let t = -3920/39 - -1311/13. Let s(y) be the first derivative of -t*y**3 - 31 + 0*y + 0*y**2. Calculate a(s(f)).
-70*f**2
Let x(g) = 84*g**2 - 12*g. Let w(l) = 41*l - 4. Let t(d) = -10*d + 1. Let f(h) = -4*t(h) - w(h). Determine x(f(j)).
84*j**2 + 12*j
Let u(j) be the second derivative of j**4/3 + j. Let p(l) = 712*l**2 - 161*l**2 - 289*l**2 - 274*l**2. Calculate u(p(v)).
576*v**4
Let n(t) be the first derivative of t**5/120 + t**3 - 64*t - 307. Let i(s) be the third derivative of n(s). Let g(v) = 218*v. Give i(g(c)).
218*c
Let l be -4 + (17 - 1) - -2. Let v(g) = 24*g**2 - 13*g**2 - l*g**2. Let c(j) = -8*j + 6. Let d(y) = 10*y - 7. Let w(u) = 7*c(u) + 6*d(u). What is w(v(k))?
-12*k**2
Let c(y) = -9*y. Let f(g) = 16703*g. Determine c(f(i)).
-150327*i
Let w(n) = 14503 + 14654 - 29017 - 2*n**2. Let q(h) = -28*h. What is w(q(z))?
-1568*z**2 + 140
Let p(r) be the second derivative of -r**3/2 - 8*r. Let f(h) = 160*h - 82*h - 70*h. Give p(f(z)).
-24*z
Let m(g) = g - 85. Let w(l) = 188*l - 19975. Let q(d) = 235*m(d) - w(d). Let r(u) = -20*u**2. Determine r(q(z)).
-44180*z**2
Let o(l) = 93*l - 352*l + 87*l + 91*l + 87*l. Let m(i) = -2*i + 7. Calculate o(m(p)).
-12*p + 42
Let i(v) = 3*v + 2699. Let g(p) = -2*p**2 + 2976*p - 1. Calculate i(g(r)).
-6*r**2 + 8928*r + 2696
Let p(v) = 34535511*v**2. Let f(s) = s. Determine f(p(r)).
34535511*r**2
Let p(y) be the third derivative of y**5/30 + 41*y**3/3 - 117*y**2 + y - 1. Let d(c) = -27*c. Determine p(d(j)).
1458*j**2 + 82
Let l(r) be the first derivative of 1/30*r**5 + 0*r**4 + 8 + 0*r**3 - 7/2*r**2 + 0*r. Let w(t) be the second derivative of l(t). Let a(h) = h**2. Give a(w(m)).
4*m**4
Let d(z) = -2*z + 44. Let u(g) = -3687*g + 2. What is d(u(c))?
7374*c + 40
Let g(j) = 6*j. Suppose 3*k + 39 - 18 = 0. Let w(l) = 6*l**2. Let o(q) = -9*q**2. Let b(s) = k*w(s) - 6*o(s). Give g(b(t)).
72*t**2
Let m(v) = -14*v**2. Let b(j) = 121*j**2 + 15*j + 10. Let g(p) = 129*p**2 + 12*p + 8. Let o(n) = 4*b(n) - 5*g(n). What is o(m(l))?
-31556*l**4
Let d(k) be the second derivative of -165*k - 1/6*k**3 + 0*k**2 + 0. Let o(b) be the second derivative of | {
"pile_set_name": "DM Mathematics"
} |
c.
2*c*(c - 2)*(3*c + 1)
Let g(z) = 7*z**4 + 15*z**3 - 49*z**2 + 33*z - 3. Let b(i) = 4*i**4 + 16*i**3 - 48*i**2 + 32*i - 2. Let v(n) = 3*b(n) - 2*g(n). Solve v(m) = 0 for m.
0, 1, 3, 5
Let q be (0 - 2) + 5 + -4 + 4. Suppose -2*p = 0, -p = 5*x - 4 - 6. Factor w**2 + 2*w**q + 1 - x*w**4 - 5/2*w + 1/2*w**5.
(w - 2)*(w - 1)**3*(w + 1)/2
Let v = -18650 - -18653. Factor v*d**3 - 6/5*d - 9/5*d**2 + 0.
3*d*(d - 1)*(5*d + 2)/5
Factor -32*g**2 + 88*g + 3*g**2 - g**3 + 121*g**2 + 5*g**3.
4*g*(g + 1)*(g + 22)
Let p = 25 - 47/2. Let n = 0 + p. Let 1/2*z**3 + 1/2 + 3/2*z**2 + n*z = 0. What is z?
-1
Let z be 2 - (3 - (10 + -7))/8. Factor 57/2*m**z + 9*m - 21/2*m**3 + 0.
-3*m*(m - 3)*(7*m + 2)/2
Let n(q) be the second derivative of 1/26*q**5 + 0 - 2/13*q**2 - 5/39*q**3 + 17*q + 1/39*q**4. Factor n(d).
2*(d - 1)*(d + 1)*(5*d + 2)/13
Let l(x) be the first derivative of -768/5*x - 16224/5*x**3 - 26364/5*x**4 - 4992/5*x**2 - 85683/25*x**5 - 41. Let l(a) = 0. What is a?
-4/13
Suppose 2*w - 10*w - 20*w = 0. Let v(r) be the second derivative of 1/30*r**6 + w*r**2 + 6*r + 0*r**3 + 0*r**4 + 1/42*r**7 + 1/80*r**5 + 0. Factor v(y).
y**3*(2*y + 1)**2/4
Let b(i) be the third derivative of -i**5/40 + 3*i**4/16 - i**3/2 - 468*i**2. Suppose b(c) = 0. Calculate c.
1, 2
Let 1370*x - 103*x**4 - 105*x**3 - 247*x**3 + 358*x + 1728 + 35*x**4 - 288*x**2 - 4*x**5 = 0. Calculate x.
-6, -1, 2
Let s(x) be the second derivative of -3*x**5/20 - x**4/4 + 4*x**3 + 18*x**2 - 47*x - 1. Solve s(j) = 0.
-2, 3
Let h be (2 - 7 - -5)*1. Let s(y) be the third derivative of 1/21*y**3 + 5*y**2 + 1/420*y**6 + 0 - 1/84*y**4 + h*y - 1/210*y**5. Suppose s(p) = 0. What is p?
-1, 1
Factor 440/3*r + 2/3*r**2 + 24200/3.
2*(r + 110)**2/3
Let s(d) = -4*d + 8. Let o be s(-4). Suppose -o = 6*w - 10*w. Determine t, given that 3 + w*t**2 - 8*t - 4*t**2 + 5 = 0.
2
Let g be (0*(-11)/(-33))/(-2). Let d(i) be the first derivative of -4*i**2 - 9 + g*i - 28/3*i**3 - 5*i**4. Factor d(r).
-4*r*(r + 1)*(5*r + 2)
Suppose 3 - 344*y + 39 - 8*y**2 + 3*y**2 + 314*y - 7 = 0. What is y?
-7, 1
Let i be 9/(100558/6028 + 4/22*-1). Determine n so that -i*n - 2/11*n**2 - 4/11 = 0.
-2, -1
Let r(p) = p**5 + 7*p**4 + 20*p**3 - 28*p**2 - 63*p - 29. Let i(u) = 2*u**5 - u**4 + u**3 + u**2 - 1. Let j(g) = 2*i(g) - r(g). Factor j(h).
3*(h - 3)**2*(h + 1)**3
Let f be (-12 - 1)*-1 + 1. Suppose -2*i - f + 18 = 0. What is k in -1/2*k**i + 0 + k = 0?
0, 2
Let j = -23 + 28. Solve 36 + 26*h - 12*h**4 + 48*h**2 + 53*h - 24*h**3 + 4*h**j + 5*h - 8*h**2 = 0 for h.
-1, 3
Let b(j) be the second derivative of -j**6/36 + j**5/60 + 5*j**4/8 - j**3/2 - 11*j. Find t, given that b(t) = 0.
-3, 0, 2/5, 3
Factor 2400*x**2 + 66*x**4 + 3/2*x**5 + 0 + 0*x + 840*x**3.
3*x**2*(x + 4)*(x + 20)**2/2
Let u(h) = -5*h**3 - 55*h**2 + 127*h - 96. Let v(x) = -52*x + 10*x + 18*x**2 + 32 + 73*x**3 - 71*x**3. Let q(b) = -6*u(b) - 17*v(b). Solve q(y) = 0 for y.
2
Let f(u) be the first derivative of -u**5/20 - u**4/4 - u**3/2 - u**2/2 - 14*u - 15. Let h(j) be the first derivative of f(j). Find l such that h(l) = 0.
-1
Find s such that 69/7*s - 60/7*s**2 + 18 - 3/7*s**3 = 0.
-21, -1, 2
Let k(r) be the first derivative of -r**4/4 - 16*r**3/9 - 2*r**2 + 16*r/3 + 38. Solve k(b) = 0 for b.
-4, -2, 2/3
Let u = 131/76 - -1/38. Let t(d) be the second derivative of -8*d**3 + 6*d**2 + 3*d + 0 + u*d**4. Factor t(m).
3*(m - 2)*(7*m - 2)
Let q be -25*8/(-240) - (-2)/(-12). Let g(y) be the second derivative of q*y**2 + 0 - 3*y - 2/9*y**3 + 1/36*y**4. Factor g(k).
(k - 2)**2/3
Let k be (9/(-1) + 7)*(-3)/2. Let o(a) be the first derivative of -2/5*a - 2/15*a**3 + k - 2/5*a**2. Solve o(q) = 0 for q.
-1
Let k(j) = -20*j**3 - 2*j**2 - 2*j - 1. Let w be k(-1). Suppose 5*x + q - 7 = w, 3*x = -2*q + 17. Solve 0 + 0*a + 2/3*a**4 + 1/3*a**3 - 1/3*a**x - 2/3*a**2 = 0.
-1, 0, 1, 2
Let m be 21/10 + 9/(-15). Let p be ((-18)/8)/((-93)/310). Determine b so that 0 - m*b**4 - p*b**2 + 3*b + 6*b**3 = 0.
0, 1, 2
Let l(a) be the first derivative of 9*a**4/7 + 44*a**3/21 + 4*a**2/7 - 8. Factor l(j).
4*j*(j + 1)*(9*j + 2)/7
Let o(n) = -10*n**5 + 4*n**4 + 15*n**3 - 18*n**2 - 3*n - 9. Let p(i) = i**5 - i**3 + 2*i + 1. Let u(f) = 5*o(f) + 35*p(f). Let u(h) = 0. What is h?
-2, 1/3, 1
Let n = -4037/6 - -671. Let g = 13/42 - n. Determine f so that -g*f**4 + 3/7*f**3 - 9/7*f**5 + 15/7*f**2 + 0 + 6/7*f = 0.
-1, -2/3, 0, 1
Let t(o) be the first derivative of 22 - 4/9*o + 8/27*o**3 + 7/9*o**2. Suppose t(h) = 0. Calculate h.
-2, 1/4
Let p(r) = -1. Let x(a) = -4*a**3 + 16*a**2 + 12*a - 76. Let h(i) = -4*p(i) + x(i). Factor h(v).
-4*(v - 3)**2*(v + 2)
Let u be (0/(-8 + (-8 - (3 - 24))))/1. Suppose u*s**2 + 0*s + 0 - 1/3*s**3 = 0. What is s?
0
Let b(k) be the first derivative of -k**3/3 + 5*k**2/2 - 4*k - 3. Let x be b(3). Factor -5*y**x + 19*y - 3*y**3 - 20*y - y**3.
-y*(y + 1)*(4*y + 1)
Let a(t) = -11*t**3 - 86*t**2 - 241*t - 156. Let j(r) = 5*r**3 + 44*r**2 + 121*r + 78. Let s(u) = 2*a(u) + 5*j(u). Factor s(g).
3*(g + 1)*(g + 2)*(g + 13)
Let b(o) = 2*o**2 - 3*o + 1. Let x(n) be the third derivative of n**5/60 - n**4/24 - 7*n**2. Let s(z) = -4*b(z) + 4*x(z). Let s(t) = 0. What is t?
1
Let y(g) be the third derivative of 0*g - 7/30*g**5 - 1/21*g**7 + 3/20*g**6 + 1/168*g**8 + 0 + 1/6*g**4 + 0*g**3 + 15*g**2. Determine i so that y(i) = 0.
0, 1, 2
Let n(y) be the first derivative of y**4/4 + 13*y**3/3 + 24*y**2 + 36*y - 115. Factor n(q).
(q + 1)*(q + 6)**2
Let a(f) be the second derivative of 1/90*f**5 + 1/3*f**3 + 0 + 0*f**2 - 1/9*f**4 - 17*f. Determine h so that a(h) = 0.
0, 3
Let a(x) be the first derivative of -x**6/2 - 27*x**5/5 - 27*x**4/2 - 182. Factor a(i).
-3*i**3*(i + 3)*(i + 6)
Let h(s) be the first derivative of -5*s**7/42 + 3*s**5/4 - 5*s**4/6 - 17*s - 14. Let n(a) be the first derivative of h(a). Factor n(x).
-5*x**2*(x - 1)**2*(x + 2)
Suppose c - 3 = -4*g - 4*c, -2*g = 3*c - 1. Factor u**2 + 5*u - 2*u**g - 50*u - 4*u**2.
-5*u*(u + 9)
Let d(w) be the second derivative of -7*w**4/20 - 17*w**3/6 - 2*w**2/5 + 19*w - 13. Factor d(i).
-(i + 4)*(21*i + 1)/5
Suppose -192 = -58*b - 76. Factor 4*g + 10 + 2/5*g**b.
2*(g + 5)**2/5
Let a(x) be the second derivative of 5*x**6/2 - 39*x**5/2 + x**4 + 57*x**3 - 135*x**2/2 + 3*x - 28. Factor a(j).
3*(j - 5)*(j + 1)*(5*j - 3)**2
Let x be (10/21)/((-30)/(-140)) + 20/(-90). Find s, given that -2/11 + 4/11*s - 2/11*s**x = 0.
1
Let u be (-4)/16 + (0 - (-105)/516). Let m = 80/129 - u. Solve -4/9*z**2 - 2/9*z**5 - m*z + 0*z**4 + 8/9*z**3 + 4/9 = 0 for z.
-2, -1, 1
Let c(s) = -8*s**3 + 10*s**2 - 8*s - 6. Suppose -10*p - 44 = 6. Let u(v) = -7*v**3 + 9*v**2 - 7*v - 5. Let t(x) = p*c(x) + 6*u(x). Factor t(l).
-2*l*(l - 1)**2
Find h such that 56/9*h + 4/9 + 196/9*h**2 = 0.
-1/7
Let n = -6959 + 6962. Factor 3/4*u**4 + 0*u + 27/2*u**2 - 81/4 - 6*u**n.
3*(u - 3)**3*(u + 1)/4
Let k(w) = -4*w - 4. Let b be k(-2). Factor 280*q**5 + 16*q**3 - 3*q - 14 - 13*q - 279*q**5 - 2 + 8*q**2 + 7*q**b.
(q - 1)*(q + 2)**4
Let p(h) be the first derivative of h**3 + 3*h**2 - 45*h + 38. Factor p(l).
3*(l - 3)*(l + 5)
Let s = 0 - -2. Let a be -6 + 5/(25/40). Determine c so that 2*c**a + 2*c**2 + s*c**2 - 2*c - c = 0.
0, 1/2
Let o = -60091/6 - -10016. Factor -5/6*a**3 + 5/6*a**2 - o + 5/6*a.
-5*(a - 1)**2*(a + 1)/6
Factor 0 - 35/8*f**3 + 1/2*f**2 + 1/2*f.
-f*(5*f - 2)*(7*f + 2)/8
Let l = -2333/14 - -1170/7. Let z(v) be the first derivative of -v**2 + 0*v - 1/3*v**3 + 1/5*v**5 + l*v**4 - 1. Find p, given that z(p) = 0.
-2, -1, 0, 1
Let n(v) = -6*v**2 - 5*v - 4. Let c = -7 + 12. Let h = 422 - 428. Let q(z) = -7*z**2 - 6*z - 5. Let y(j) = c*q(j) + h*n(j). Solve y(l) = 0 for l.
-1, 1
Let 1/2*u**5 + 9/2*u**4 - 9*u - 29/2*u**2 + 0 - 3/2*u**3 = 0. What is u?
-9, -1, 0, 2
Let o = 17 - 15. What is i in -64 + 9*i + 3*i**o + 6*i - 4*i**2 + i = 0?
8
Suppose 269/2*z**2 - 261/2*z**3 + 2 - 81/2*z**4 + 69/2*z = 0. Calculate z.
-4, -1/9, 1
Let -16/17 + 4/17*w**2 - 2/17*w**5 + 14/17*w**3 - 24/17*w + 0*w**4 = 0. What is w?
-2, -1, 2
Let k(y) be the first derivative of y**5 + 5*y**4/4 - 280*y**3/3 - 525. Factor k(x).
5*x**2*(x - 7)*(x + 8)
Let o(l) = 70*l**5 - 170*l**4 + 135*l**3 + 25*l. Let j(p) = 17*p**5 - 42*p**4 + 34*p**3 + 6*p. Let g(s) = 25*j(s) - 6*o(s). Suppose g(v) = 0. What is v?
0, 2, 4
Let r be 6/2 + (-80)/(-30) + (-187)/ | {
"pile_set_name": "DM Mathematics"
} |
= b**2 + 4*b + 3. Let l be d(-2). Are i and l non-equal?
True
Let f = -9 - -7. Let r be (3 + f)*(-3 - -1). Is r less than or equal to -4/5?
True
Suppose -2*h - 11 = -2*w + 1, 0 = 4*w + 4*h. Let u = 4 - w. Which is smaller: 0 or u?
0
Suppose 0 = 2*b + 5*w - 24, -4*w = -3*b - 1 - 9. Let m(z) = z**3 + z - 1. Let u be m(1). Which is bigger: b or u?
b
Let w be 95/20 - 1/(-4). Let x be (-3 + w)*4/8. Suppose 0 = -2*n + 7*n + 4*j + 1, -4*n = 2*j + 2. Which is bigger: n or x?
x
Let m = -1/28 - 1/4. Let r = 0 + 2. Do m and r have the same value?
False
Let b = -0.1 + 1.1. Let h be -3*(-10)/6 - 3. Suppose h*s - 5 = -17. Which is greater: b or s?
b
Suppose -3*m + l = -4*l + 11, -3*l - 27 = m. Is -12 > m?
False
Let x = 82 + -70. Suppose 8 = 2*c - 18. Which is smaller: c or x?
x
Suppose -3*t - 3*a = -12, -5*a - 4 = 2*t - 24. Let q(x) = t*x - 3*x + 4 + x. Let f be q(3). Is -1 equal to f?
False
Let x be (4 + 148/(-36))/((-1)/(-5)). Is x < 0?
True
Suppose 4*u + k - 3*k - 164 = 0, 3*u = 5*k + 130. Suppose -z + u = -6*z. Which is smaller: z or -7?
z
Let y = -1.7 + 1.6. Which is bigger: -6 or y?
y
Let d be 0/(0 + (-4)/(-2)). Suppose d*n = -n. Do 2 and n have different values?
True
Let d be 0/3 - 86/(-78). Let u = 1053 + -13679/13. Let q = d - u. Is 1 smaller than q?
False
Let m be 2/(-5) + (-2)/20. Suppose 0 = -2*a - 2*j - 26, -j = -5*a + 3*j - 20. Let o be (-2)/a - 5/4. Is m bigger than o?
True
Let y(t) = -t + 4. Let b be y(5). Let u = -43256 + 303544/7. Let g = -107 + u. Which is bigger: b or g?
g
Let k = 221/50 - 1/50. Which is greater: k or 4?
k
Let u be 4/(-12) + (-5)/3. Let z be (1*u)/((-6)/(-9)). Let m be 1/(2 + -1) - z. Is m greater than 4?
False
Let n = 84.2 + -84. Is -9/5 greater than or equal to n?
False
Let p = 1791 + -1790. Let c(j) be the third derivative of -j**4/12 - 2*j**3/3 + j**2. Let r be c(-3). Which is smaller: p or r?
p
Suppose 0*l - 2*l + 6 = 0. Suppose -3*z + 0*f - 6 = -l*f, -5*z - f + 8 = 0. Is 1/25 > z?
False
Let p be (48/(-60))/(0 + (-1)/5). Which is smaller: p or 6?
p
Let n be (-4)/(-20) - (-3)/(-15). Is n equal to -1?
False
Let m be 1*12/34*(-4)/12. Suppose c + 4*f = -2*c, 4*c - 2*f = 0. Are c and m nonequal?
True
Let a = 0.081 + 6.319. Let v = 3.1 - a. Let l = 0.7 - v. Is l <= 2/7?
False
Let n = 20 + -13. Let b = -6.8 + n. Is -1 at least b?
False
Let v = 1718 + -10333/6. Is v != -1/3?
True
Suppose t + t = 5*r + 8, 3*t - 12 = 0. Let a(g) = 4*g. Let h be a(2). Let d be (-1)/3 - h/(-6). Is r bigger than d?
False
Let u be (-33)/((9/(-10))/1). Let h = -37 + u. Let v = -2 - -3. Which is bigger: v or h?
v
Let x be (42/(-63))/((-4)/6). Is 2/3 > x?
False
Suppose 0 = 3*n - 7*n + 8. Suppose 5*l + 43 = -2*g, 2*l - 2*g - 2 = n*g. Let j(f) = f**2 + 8*f + 7. Let q be j(l). Is 0 smaller than q?
False
Let u = 1 - 1. Let n = -15 + 147/10. Which is bigger: u or n?
u
Suppose 2*y - v = -3*y + 16, -5*v - 14 = -3*y. Which is smaller: 5 or y?
y
Suppose 2*n = -0*n. Which is greater: n or -6/13?
n
Let j(q) = -q + 1. Let n be j(1). Let k be n - (-15)/(1 + 2). Suppose -d - 6 = -k. Which is bigger: d or 4/9?
4/9
Suppose -g - 3*l = 2*l - 7, 0 = 5*g + 3*l - 13. Let t = 4 - 6. Let o be (3 - 2)*(3 + t). Is o greater than g?
False
Let r = -1.4 + 2.4. Which is smaller: r or -0.8?
-0.8
Suppose -4 = 3*j + 3*n + 8, 5*n = -2*j - 8. Suppose -4*k + k - 6 = 0. Let a be k - (-1)/(j/(-10)). Which is smaller: a or 1?
a
Let a(y) = y**3 - 2*y**2 - 5*y + 3. Let t be a(3). Let m be 0*(t/(-1))/(-6). Which is smaller: m or -4?
-4
Suppose -p + 3*c + 0 + 1 = 0, -3*p + 4*c + 8 = 0. Let j be ((-4)/20)/(p/(-10)). Which is smaller: 2 or j?
j
Let f = 142/11 - 140/11. Which is bigger: 0.12 or f?
f
Suppose r = -3*u - 14, -4*r - u = -0*r + 1. Let w be (-12)/(-7) + (-4)/(-14). Let f = w - r. Is f >= 3/7?
True
Suppose -22*y = -25*y. Let v be (-1)/(-3)*(3 + 0). Which is smaller: v or y?
y
Suppose 5*g + 29 = -4*n, 2*n - g = -n + 2. Let a(w) = -w - 1. Let f be a(n). Let x be (-2)/3 + (-4)/(-9). Are f and x nonequal?
True
Let w(s) = 5*s**3 - 9*s**2 - 25*s + 1. Let t(y) = y**3 - 2*y**2 - 5*y. Let a(z) = 11*t(z) - 2*w(z). Let l be a(5). Is -1 greater than l?
True
Suppose -y = -4*y - 18. Suppose 6*m - m - 90 = 0. Let s = -25 + m. Are y and s unequal?
True
Let v = -5 - -8. Let n = 4 - v. Is 1 equal to n?
True
Let o be (4/(-6))/(4/(-12)). Let w = -6 + o. Let p = -9 - -4. Which is bigger: p or w?
w
Let r(z) = -z**2 - 2*z + 1. Let m be r(1). Suppose -3*g + 9 = 3*c, -2*g + c = -g + 3. Let y = g + -2. Is m < y?
False
Let y = -6686 - -441299/66. Let z = -2/11 + y. Which is bigger: z or 0?
z
Let i be (-1)/((3/15)/(-1)). Is 5 at most as big as i?
True
Let z(y) = y**3 + y**2 - 3*y + 4. Let o be z(-3). Let l = o + 7. Is 0 less than or equal to l?
True
Let f be 4 + 0 + 24/(-12). Are f and 1 nonequal?
True
Let f be 4 + 5/((-20)/(-8)). Is f less than or equal to 7?
True
Let m = -580/3 - -7558/39. Is 0 not equal to m?
True
Let v be 90/(-365)*1/(-3). Let a = v - -116/365. Is 9 <= a?
False
Let o = 12 - 7. Suppose -o*c - 8 = -7*c. Which is greater: c or 6?
6
Suppose 10*z = 5*z. Is z > -8/7?
True
Let y be (-7)/28 + 1/(8/(-230)). Which is bigger: y or -30?
y
Let g(p) = 4*p**2 + 2*p + 2. Let h be g(-2). Let l be 5/(-35) - (-156)/h. Is 10 at least l?
False
Let n = -0.11 + 1.61. Let z = n + -2.5. Is z > -0.5?
False
Let l = 62 - 63. Is 6/43 less than or equal to l?
False
Let z be 2/(-3) + 20/(-15). Which is smaller: -12/5 or z?
-12/5
Let i be 958/3304 - 6/21. Let y = i + 103/59. Is y greater than or equal to 2?
False
Let j = -0.033 + 20.033. Let v = j + -13. Is 3 > v?
False
Let j(r) = 2*r + 17. Let x be j(-8). Let b = 5 - x. Is b greater than or equal to 4?
True
Let a be -1 + 33/12 + 0. Is a >= 3?
False
Let z = -5 - -7. Suppose i - 2*i + 5 = -z*m, 0 = -2*m + 2*i - 6. Let c be 0 + 1/(2/(-2)). Is m != c?
True
Let c = 68 - 68. Is 2/27 greater than or equal to c?
True
Suppose -j - 7 - 15 = 0. Let t = j + 12. Do t and -10 have different values?
False
Let j = 1.39 + -0.39. Is j >= 3/8?
True
Suppose u = -5*c + 8, 5*c + 5*u - 18 = 2*c. Suppose -4*n = -5*q - 2, -3*q + 2 = -4*n - 0*q. Let k be (9/n)/(-3) - c. Which is smaller: 1 or k?
k
Let l = -0.054 + 0.154. Which is greater: -9 or l?
l
Suppose 2*d = -2*d + 8. Let u be (2/d)/1 - 2. Which is smaller: u or 1/19?
u
Let i = -37/30 - 22/15. Let v be (-117)/35 - (-1)/2. Let t = v - i. Is 0.1 greater than t?
True
Let h(o) = o**2 - 8*o + 3. Let t be h(8). Let q(v) = v - 5. Let z be q(t). Which is greater: z or 0?
0
Let v be (-2)/(-4) + (-27)/18. Which is greater: v or -1/7?
-1/7
Suppose 5*z + 35 = -3*f, 10 = -2*z + 2. Is f equal to -3?
False
Let v be 2/(6/(-21))*1. Which is bigger: -6 or v?
-6
Let o(c) = 2*c - 1. Let i be o(1). Let x(v) = -v**2 + 9*v - 8. Let p be x(8). Let a = p - i. Is 2/5 < a?
False
Let u be -2 + 30/14 + 31/77. Which is greater: -1 or u?
u
Let c = 29.81 + -30. Let n = -2.81 + c. Which is smaller: n or -3/5?
n
Let i(y) = -y**2 + 2. Let w be i(-4). Let h = 23 + w. Is h greater than or equal to 10?
False
Let o = 107 + -103. Do 16 and o have different values?
True
Let k = 296/7 - 42. Suppose b = 2*f + f + 1, 5*b + 6 = 4*f. Which is smaller: k or f?
f
Suppose -q = -3*q + 6. Suppose 5*a - 18 = -q. Is 3 smaller than a?
False
Let c = 4 - -1. Suppose c*x = 25, -2*t + 3*t + x - 6 = 0. Let p be 4*(0 - t/2). Is p smaller than -4?
False
Let y = 194/3 + -66. Are y and 3 nonequal?
True
Let o be -1*(-70 + (-3 - -6)). Let w be o/(-165) - 4/(-30). Which is smaller: 1 or w?
w
Let h(w) = -5*w + 1. Let m be h(1). Which is smaller: m or -0.1?
m
Suppose 0 = -a + t - 3*t + 3, 5*a - 5*t = 30. Suppose 5*j + a*r + 5 = 0, 7*j - 3*r = 3*j + 3. Which is smaller: -2/19 or j?
-2/19
Let s = -15 - -44/3. Let u = 0.04 + 4.96. Is u equal to s?
False
Let j = -1.82 + 1.81. Which is greater: j or 0.6?
0.6
Let h = 70/3 - 30. Which is bigger: h or -8?
h
Let r = 4 + -12. Which is greater: r or 2?
2
Let w = 0.119 + -0.078. Let s = -6.059 - w. Let o = 6 + s. Which is smaller: 0 or o?
o
Let r = 10 + -1. Let n be 39/r + 2/(-6). Suppose 3*a + 4*z = 3*z, -4*z = -n*a + 16. Which is greater: a or -1/3?
a
Let v = 0.6 + -0.1. Let u = v + 0.5. Which is bigger: u or 0?
u
Let q(u) = u**3 + 2*u**2 + 2*u + 2. Let z be 3/(3 - (-18)/(-4)). Let i be q(z). Is i equal to -1/2?
False
Let k = -7 + 10. Let g = 1 - k. Which is bigg | {
"pile_set_name": "DM Mathematics"
} |
+ 32 + 88. Calculate the remainder when 68 is divided by j.
20
Let l = -2 + 11. Suppose -c + 41 = 3*c + p, 0 = -4*c - 4*p + 32. What is the remainder when 1*20 + (l - 8) is divided by c?
10
Suppose 2*o - 117 = -5*k, -2*k + o - 26 = -71. Calculate the remainder when k is divided by 8.
7
What is the remainder when (17 - -4 - -1) + 2 is divided by 5?
4
Suppose 316 = 5*o + 3*n, 4*o + n = 263 - 6. Calculate the remainder when o is divided by 17.
14
Let g = 602 - 589. Suppose -90 = -4*h + 110. Calculate the remainder when h is divided by g.
11
Calculate the remainder when 14 is divided by 2/(-3)*(-5 + -7).
6
Suppose -y = -0*y - 52. Calculate the remainder when y is divided by 19.
14
Let t be 6/(-2) - 21/(-7). Suppose -4*d + 4*m + 192 = t, -4 = -2*d - 5*m + 78. Calculate the remainder when d is divided by 16.
14
Suppose -w - q + 56 = 0, 2*w - 3*q - 100 = -q. Calculate the remainder when w is divided by 19.
15
Suppose 5*i + 0*i - 10 = 0. Let m = i - -1. Suppose 23 = h - m*p, 4*h + 2*p = -3*p + 126. What is the remainder when h is divided by 15?
14
Suppose g + 2*n = 1 - 4, 3*g + 8 = -5*n. Calculate the remainder when 18 is divided by g + 6 + 0/1.
3
Let z(k) = k**3 - 4*k**2 + 7*k - 18. Let u = 72 - 45. What is the remainder when u is divided by z(4)?
7
Suppose 17 - 2 = -5*s. Calculate the remainder when ((-996)/(-8))/s*-2 is divided by 17.
15
Let l(n) = n**2 + 2*n - 1. Let i be l(2). Let w = 9 - i. What is the remainder when 3 is divided by w?
1
What is the remainder when 11 is divided by (-52)/(-16) + (-4)/16?
2
Suppose -3 = 2*s - 5*s. Let w be s - (-8 - (-3 - -3)). Suppose -q - r = -7, w = 2*q - 3*r - 10. Calculate the remainder when 15 is divided by q.
7
Let w = -85 + 92. What is the remainder when 55 is divided by w?
6
Suppose -8 = -5*n + 2. Suppose -2*r = n*r - 140. What is the remainder when r is divided by 12?
11
What is the remainder when (42/28)/((-6)/(-188)) is divided by 16?
15
Suppose -7*k = -5*k - 12. Calculate the remainder when 16 is divided by k.
4
Suppose -3*p + 40 + 35 = 0. What is the remainder when p is divided by ((-2)/4)/((-1)/26)?
12
Suppose 37 = 5*r - 3*l, r - 3 = l + 4. Calculate the remainder when 39 is divided by r.
7
Suppose -85 = -5*h + 5*a - 10*a, h - 19 = a. Calculate the remainder when 61 is divided by h.
7
Let v = 36 - 31. What is the remainder when 43 is divided by v?
3
Let w(x) = -4*x**3 + x**2 + 2 + 3*x**3 + 0*x**3. Suppose -3*m = 2*p + 3 - 1, -4*m = -3*p - 3. Calculate the remainder when 2 is divided by w(m).
0
Let d(c) = -c**2 + 4*c + 6. Let n be d(6). Let q = 5 - -5. Let g = q + n. Calculate the remainder when 7 is divided by g.
3
Let c be ((-21)/9 - -3)*3. Let h(j) = -2 - j**2 + 0*j**2 + 2*j**2. What is the remainder when 5 is divided by h(c)?
1
Let c = -38 + 61. Calculate the remainder when 18 is divided by (-9)/12 - c/(-4).
3
Let s = 23 - 4. What is the remainder when 35 is divided by s?
16
Suppose -2*t + 8 = 2*h, 4*h - 6 = -5*t + 6. Let j = h + -4. Suppose -j*b = -5*n + 64, 3*n = n - 5*b + 19. Calculate the remainder when n is divided by 7.
5
Let v = -8 - -7. Let u = 17 + v. Calculate the remainder when u is divided by 9.
7
Let p be 5*(4/(-10) - -1). Suppose 4*n - 4 = -p*b - 1, -12 = n + 5*b. What is the remainder when -11*(0 - 3)/n is divided by 6?
5
Let w(v) = 3*v**2. Let k be w(-1). Calculate the remainder when 40 + 4 + -3 + k is divided by 15.
14
Suppose q - 4*q - 14 = -d, -42 = -3*d + 5*q. What is the remainder when 37 is divided by d?
9
Calculate the remainder when 12/15 - 4/((-20)/71) is divided by 9.
6
Let v = -65 + 72. What is the remainder when 27 is divided by v?
6
Let k(n) = -n**2 - 5*n - 4. Let o be k(-5). Let d(v) = -3*v - 3. Calculate the remainder when (-19)/o + (-1)/(-4) is divided by d(-2).
2
Suppose 0 = -4*x + p + 190, -x + p = 2*x - 143. Calculate the remainder when x is divided by 12.
11
Calculate the remainder when -165*(3 - 20/6) is divided by 19.
17
Let v = 20 + 1. What is the remainder when v is divided by 11?
10
Suppose 5*y = 127 + 53. Calculate the remainder when 71 is divided by y.
35
Let s(i) = i**3 + 8*i**2 - 4*i - 23. What is the remainder when 33 is divided by s(-8)?
6
Let t = -372 - -692. Suppose t = 2*o + 3*o. Calculate the remainder when o is divided by 22.
20
Let z = 0 + 6. Let y(m) = m + 2. Calculate the remainder when y(7) is divided by z.
3
Let w(k) = k + 4. Suppose -3*x + 3*y = -27, -x + 5*y = -19 + 2. Suppose -124 = 2*h - 6*h. What is the remainder when h is divided by w(x)?
9
Let g(s) = s**3 + 8*s**2 + 2*s - 13. Suppose -5*l + 4 = 19, l - 27 = 5*d. What is the remainder when g(d) is divided by 16?
15
Let x = 7 - 3. Suppose 2 = 2*q + x. Calculate the remainder when 30 is divided by (-6)/3*q + 9.
8
Let q = -1 - -5. Suppose 5*s = -3*j + 104, q*s - 4*j = 3*s + 30. What is the remainder when 41 is divided by s?
19
Let o = -7 + 25. Calculate the remainder when 33 is divided by o.
15
Let a(j) = -11*j + 1. Let u be a(-3). Let w = u - 76. Let h = -5 - w. Calculate the remainder when h is divided by 19.
18
Suppose 16 = y + 3. Suppose n - 3 = 1. Suppose -n = -5*f + 31. Calculate the remainder when y is divided by f.
6
Let l = 117 - 49. Calculate the remainder when l is divided by 14.
12
Let w = 20 - -8. Let y = 16 + -6. Calculate the remainder when w is divided by y.
8
Let g = -4 - -13. Let y = 14 - 9. What is the remainder when 3/((30/32)/y) is divided by g?
7
Suppose -2*c + 54 = c. Suppose -3*m + 89 = -3*o - 2*m, -160 = 5*o - 4*m. Let j = o - -63. What is the remainder when j is divided by c?
17
Let r(x) = 5*x - 25. Calculate the remainder when 134 is divided by r(14).
44
Suppose -7*f + 16 = -5*f. Suppose -5*k + 3*v = 5, 5*k = -5*v - 31 - 14. Calculate the remainder when k/(-1)*(-45)/(-12) is divided by f.
7
Let s(l) = 111*l**3 + 2*l**2 - 1. What is the remainder when s(1) is divided by 38?
36
Let a = 36 - -7. Suppose 0*r + 2*r = -t + 33, 3*r - 3*t = 36. Calculate the remainder when a is divided by r.
13
Suppose -4*h + 7*h - 492 = 0. Suppose -2*a - 2*a + h = 0. Calculate the remainder when a is divided by 14.
13
Calculate the remainder when ((-32)/(-3))/((-14)/(-63)) is divided by 25.
23
Let r(p) = p**2 + p + 2. Suppose -4*q - 128 = -2*n, 5*n + 5*q - 245 = -0*q. Calculate the remainder when n is divided by r(-4).
12
Let v be (-6)/(-15) + (-86)/(-10). Calculate the remainder when 4 is divided by 33/v + 4/(-6).
1
Suppose 3*v - 177 = -0*v. What is the remainder when v is divided by 10?
9
Suppose 4*v - 133 = 3*g, -39 = -0*v - v - 5*g. Let m = -3 + v. Let j(z) = z + 2. What is the remainder when m is divided by j(9)?
9
Let a be ((-15)/(-6) - 3)*6. Let w = a + 32. Calculate the remainder when w is divided by 6.
5
What is the remainder when (3 - -11)*3/1 is divided by (0 - 1) + 16 + 0?
12
Suppose 2*r + 0*r = 58. Suppose -o = -3*n + 31, 7*n - 4*n = -o + r. Calculate the remainder when 19 is divided by n.
9
Let h be 12/5*(-225)/10. Let u be h/(0 - 3) - 2. Suppose 86 = 5*d + u. What is the remainder when 41 is divided by d?
13
Suppose -o - 108 = -10*o. What is the remainder when 22 is divided by o?
10
Let x(g) = -18*g**3 + g**2 - g - 1. Let t be x(-1). What is the remainder when (t - 2) + (4 - 4) is divided by 9?
8
Suppose 3*t + 50 = 2*n, 39 = 2*n - n - 5*t. Let z(s) = -s**2 - 14*s + 2. Calculate the remainder when z(-11) is divided by n.
16
Suppose -z - 40 + 7 = 0. Let i(l) = -15*l**2 - 2*l - 1. Let k be i(-1). Let s = k - z. Calculate the remainder when 36 is divided by s.
17
Let j(u) = u**3 - u**2 + u - 1. Let x(s) = 7*s**3 + 13*s. Let l(i) = -6*j(i) + x(i). What is the remainder when 18 is divided by l(-4)?
8
Let h(w) = -5*w**2. Let n be h(1). Let v = -4 - n. What is the remainder when 1 is divided by v?
0
Suppose 0 = -5*t - 0*t. Suppose 50 = -t*j + 5*j. Calculate the remainder when (-2)/5 - (-654)/j is divided by 22.
21
Let f = -9 - -13. Suppose 0 = f*s - 6*s + 6. Suppose 2*o - s*q = -2*o + 56, 3*o + 2*q - 25 = 0. Calculate the remainder when 31 is divided by o.
9
Let g be -3*((-52)/12 + 4). What is the remainder when 8 + -4 + (24 - g) is divided by 7?
6
Let c(x) = 2*x**2 + 5*x. Calculate the remainder when 119 is divided by c(-4).
11
Suppose a - 78 = -13. What is the remainder when a is divided by 17?
14
Let h(u) = -3*u + 90. Calculate the remainder when 77 is divided by h(27). | {
"pile_set_name": "DM Mathematics"
} |
e number?
True
Is 136519813 a composite number?
False
Is 726331 a composite number?
False
Is 1030889 composite?
False
Is 9909311 composite?
True
Is 11076613 a prime number?
False
Is 25335881 a prime number?
True
Is 5264243 prime?
False
Is 6065329 a prime number?
True
Is 131300927 composite?
False
Is 73469603 a composite number?
False
Is 827072327 composite?
False
Is 3112051 composite?
True
Is 689473 composite?
True
Is 3851749 a prime number?
False
Is 10531429 composite?
False
Is 27151945 a prime number?
False
Is 1690841 a prime number?
False
Is 25892831 a composite number?
True
Is 6852421 prime?
True
Is 69437 a composite number?
True
Is 8429329 composite?
False
Is 25336967 composite?
False
Is 25046643 composite?
True
Is 1519289 a composite number?
True
Is 14636761 a composite number?
True
Is 7089701 a composite number?
False
Is 817013 composite?
False
Is 116466967 composite?
True
Is 1673821 a composite number?
True
Is 15569969 prime?
False
Is 207054281 a prime number?
False
Is 8181751 a prime number?
True
Is 370657509 a prime number?
False
Is 27017831 a prime number?
True
Is 31027985 prime?
False
Is 229502563 composite?
False
Is 544882651 a prime number?
True
Is 10855979 prime?
False
Is 17669929 composite?
False
Is 114365621 composite?
True
Is 227663781 a composite number?
True
Is 71311633 a prime number?
False
Is 2090939 prime?
False
Is 23502823 a composite number?
True
Is 15018691 a composite number?
False
Is 128743621 prime?
True
Is 407057 prime?
False
Is 1637407 a composite number?
False
Is 36965231 a composite number?
True
Is 17171351 composite?
False
Is 31352879 composite?
True
Is 186894053 composite?
False
Is 21052841 prime?
True
Is 42085769 composite?
True
Is 509108359 a composite number?
True
Is 504902701 a composite number?
True
Is 445017907 prime?
False
Is 59866771 a prime number?
True
Is 33554077 a prime number?
True
Is 592741 composite?
False
Is 4138327 a prime number?
False
Is 19786667 composite?
False
Is 35118773 prime?
True
Is 2032871 prime?
False
Is 3604397 prime?
False
Is 16564391 a prime number?
True
Is 69737 composite?
False
Is 16321373 prime?
True
Is 20325437 a prime number?
False
Is 100206409 prime?
True
Is 70193987 prime?
False
Is 13497019 a prime number?
False
Is 43062053 prime?
True
Is 206174329 prime?
True
Is 23728867 a prime number?
True
Is 10704835 composite?
True
Is 735751 a prime number?
True
Is 4534501 prime?
True
Is 22727605 a prime number?
False
Is 119353667 prime?
True
Is 1445278517 a composite number?
False
Is 12100793 composite?
False
Is 4127051 composite?
True
Is 1493513 a prime number?
False
Is 783830129 a composite number?
False
Is 354852035 a prime number?
False
Is 384976949 prime?
False
Is 4358945 a prime number?
False
Is 90715033 composite?
False
Is 57638801 a prime number?
False
Is 42534605 composite?
True
Is 1255150007 a prime number?
True
Is 60817181 a prime number?
False
Is 11125817 a prime number?
False
Is 220493221 a prime number?
False
Is 4511541 a prime number?
False
Is 27515989 a composite number?
False
Is 28870927 composite?
False
Is 2291459 a prime number?
True
Is 475357133 composite?
True
Is 145841947 prime?
False
Is 22610167 composite?
False
Is 189608281 a prime number?
True
Is 10206155 composite?
True
Is 75503869 composite?
True
Is 64804489 composite?
True
Is 186646909 composite?
True
Is 2470417 prime?
True
Is 2030683 a composite number?
False
Is 793927 prime?
True
Is 5395057 composite?
False
Is 2179973 prime?
False
Is 25899799 prime?
False
Is 1628257 a prime number?
False
Is 3062701 composite?
True
Is 3302459 a prime number?
True
Is 2882923 composite?
False
Is 257437 a prime number?
True
Is 48997 prime?
False
Is 400437991 prime?
True
Is 1347571 a prime number?
False
Is 12111779 composite?
False
Is 7827 prime?
False
Is 138254329 a composite number?
True
Is 207456569 prime?
True
Is 27514009 a prime number?
True
Is 1353167 composite?
True
Is 62533 prime?
True
Is 169377547 a composite number?
False
Is 8887 a composite number?
False
Is 1742579 prime?
True
Is 11987249 a composite number?
False
Is 50428669 a composite number?
True
Is 77038727 a prime number?
False
Is 539809 composite?
True
Is 108907033 a composite number?
False
Is 141783229 composite?
True
Is 3673919 a composite number?
False
Is 80114847 prime?
False
Is 2478082 prime?
False
Is 3212683 composite?
True
Is 30447619 a prime number?
True
Is 487274597 composite?
False
Is 114585839 prime?
False
Is 222572489 a composite number?
False
Is 550640531 composite?
True
Is 37467743 composite?
True
Is 25703381 composite?
True
Is 1341569 a prime number?
False
Is 1956937 prime?
False
Is 4178129 a prime number?
True
Is 13068833 composite?
False
Is 353762457 composite?
True
Is 174537641 prime?
True
Is 263563511 a prime number?
False
Is 41376143 a composite number?
False
Is 724964353 prime?
True
Is 77126437 a composite number?
False
Is 16729 a prime number?
True
Is 274345 composite?
True
Is 14207513 a prime number?
False
Is 13972811 composite?
False
Is 1058384161 prime?
True
Is 74161931 a composite number?
False
Is 239644829 a composite number?
True
Is 1547339 composite?
False
Is 35920037 composite?
True
Is 110786759 a composite number?
False
Is 31487831 prime?
False
Is 28293365 composite?
True
Is 2649257 composite?
True
Is 680255647 a prime number?
True
Is 3624431 composite?
False
Is 3171617 a prime number?
False
Is 11956177 prime?
True
Is 62644009 a prime number?
True
Is 1399459 prime?
False
Is 193118483 a prime number?
True
Is 688901 a composite number?
True
Is 9928939 composite?
True
Is 283303 composite?
False
Is 7718449 a composite number?
False
Is 75122737 composite?
True
Is 3633481 a composite number?
True
Is 77572177 prime?
True
Is 95676839 prime?
False
Is 357419 prime?
False
Is 75992729 a composite number?
True
Is 1583965 a prime number?
False
Is 130146823 a prime number?
True
Is 3300221 a composite number?
True
Is 747449 prime?
True
Is 120944209 a prime number?
True
Is 60629677 composite?
False
Is 273568089 prime?
False
Is 2467583 a prime number?
False
Is 7916041 a composite number?
True
Is 8380417 composite?
False
Is 7037267 a prime number?
True
Is 52368051 a prime number?
False
Is 3612599 a composite number?
True
Is 36341 a prime number?
True
Is 539978213 a prime number?
False
Is 1173311 a composite number?
True
Is 8856373 composite?
True
Is 4310693 composite?
False
Is 112854485 prime?
False
Is 10214027 a prime number?
True
Is 40153261 a prime number?
False
Is 5562542 prime?
False
Is 18138959 composite?
False
Is 43391 composite?
False
Is 185916343 composite?
True
Is 28250759 a composite number?
True
Is 26219309 a composite number?
False
Is 4214503 a prime number?
True
Is 17524259 a prime number?
True
Is 42509717 prime?
True
Is 311067767 a composite number?
False
Is 37357 a composite number?
False
Is 513749 composite?
False
Is 149278655 a composite number?
True
Is 22221737 composite?
True
Is 9791237 prime?
False
Is 48162721 composite?
False
Is 5020337 composite?
True
Is 12288905 a composite number?
True
Is 1400019 prime?
False
Is 3980657 prime?
True
Is 4941977 a prime number?
False
Is 142885321 composite?
False
Is 1101049 a prime number?
False
Is 11322163 composite?
False
Is 2356043 a prime number?
True
Is 1466203 prime?
True
Is 7996829 composite?
True
Is 763624571 a prime number?
True
Is 20838043 prime?
True
Is 14558197 a composite number?
False
Is 921559 composite?
True
Is 9371387 a composite number?
False
Is 8609 composite?
False
Is 75885721 composite?
True
Is 273954139 prime?
False
Is 2326831 a prime number?
False
Is 5395849 composite?
True
Is 192147199 a prime number?
True
Is 10791593 composite?
True
Is 901798 a prime number?
False
Is 186400433 composite?
False
Is 84142541 prime?
False
Is 120814917 a prime number?
False
Is 8558699 prime?
False
Is 9044801 a composite number?
False
Is 389687 a composite number?
False
Is 11795783 composite?
False
Is 41328019 a composite number?
True
Is 126667661 a composite number?
True
Is 24807 prime?
False
Is 79414099 composite?
True
Is 173027429 composite?
True
Is 3680627 a prime number?
True
Is 89088499 a prime number?
False
Is 530923 composite?
True
Is 25298795 a prime number?
False
Is 25621237 composite?
False
Is 1457783 composite?
False
Is 1403621 prime?
False
Is 2480497 prime?
True
Is 13828 | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence jlgy?
1/880
Calculate prob of sequence rt when two letters picked without replacement from {t: 7, q: 4, f: 2, r: 3, j: 2}.
7/102
Two letters picked without replacement from ssggssysug. Give prob of sequence ss.
2/9
Two letters picked without replacement from {v: 2, y: 3, w: 1, p: 1, i: 5, a: 3}. Give prob of sequence yv.
1/35
Two letters picked without replacement from zyyowiw. Give prob of sequence ww.
1/21
Two letters picked without replacement from {x: 2, w: 1, l: 1, d: 2, n: 2}. Give prob of sequence xl.
1/28
Calculate prob of sequence aa when two letters picked without replacement from {p: 1, i: 2, a: 2, o: 1}.
1/15
Two letters picked without replacement from eyeekfyoyoysyykky. Give prob of sequence sk.
3/272
Four letters picked without replacement from pjpjjjj. Give prob of sequence pjpj.
1/21
Four letters picked without replacement from koirbbd. What is prob of sequence rodk?
1/840
What is prob of sequence uo when two letters picked without replacement from {o: 6, u: 4, t: 2}?
2/11
Four letters picked without replacement from {q: 2, p: 4}. Give prob of sequence qqpp.
1/15
Calculate prob of sequence od when two letters picked without replacement from {o: 6, e: 5, q: 3, d: 3}.
9/136
Four letters picked without replacement from {b: 5}. Give prob of sequence bbbb.
1
Calculate prob of sequence pp when two letters picked without replacement from rqqqqppqqrq.
1/55
Three letters picked without replacement from {h: 1, b: 5, r: 3}. Give prob of sequence bbr.
5/42
Four letters picked without replacement from {a: 1, h: 2, t: 6, n: 10, x: 1}. What is prob of sequence ahnn?
1/646
Three letters picked without replacement from pphpppppppppppppppp. Give prob of sequence hpp.
1/19
Two letters picked without replacement from lmfqqqqaq. Give prob of sequence aq.
5/72
Calculate prob of sequence nt when two letters picked without replacement from ntttntttttttt.
11/78
Two letters picked without replacement from fwawwawafwwwwwffawr. What is prob of sequence aa?
2/57
Four letters picked without replacement from piipplpiboioiopoxibi. What is prob of sequence lpip?
7/5814
Two letters picked without replacement from {x: 1, c: 3, w: 13}. Give prob of sequence wx.
13/272
Three letters picked without replacement from {p: 1, r: 3, k: 6, d: 1, t: 1}. What is prob of sequence rpt?
1/440
Calculate prob of sequence usu when three letters picked without replacement from {s: 10, u: 4}.
5/91
What is prob of sequence bb when two letters picked without replacement from {l: 8, b: 2, s: 1, z: 3, e: 1, t: 1}?
1/120
What is prob of sequence lql when three letters picked without replacement from qqqqqqqqlqqqq?
0
What is prob of sequence mrmm when four letters picked without replacement from mmrmmrrmrmrrrmmmrrm?
45/646
Two letters picked without replacement from tktkttttkvtttkvt. What is prob of sequence vt?
1/12
Three letters picked without replacement from {j: 8, l: 2, f: 2, s: 2, e: 1}. What is prob of sequence esf?
2/1365
Calculate prob of sequence qn when two letters picked without replacement from sasnnnvqnq.
4/45
What is prob of sequence zhoo when four letters picked without replacement from {p: 1, o: 2, h: 1, z: 3}?
1/140
Three letters picked without replacement from {p: 2, c: 1, b: 1, n: 1}. Give prob of sequence cpb.
1/30
Four letters picked without replacement from tutuuibuxukkbubbxbk. What is prob of sequence tuuu?
5/1938
What is prob of sequence mdm when three letters picked without replacement from {d: 1, n: 1, m: 2, l: 2, c: 1, i: 1}?
1/168
What is prob of sequence iiui when four letters picked without replacement from {u: 6, i: 7}?
21/286
Three letters picked without replacement from lkmwvkmmkslllkw. What is prob of sequence mmm?
1/455
Four letters picked without replacement from ssssssessssssssssss. What is prob of sequence ssse?
1/19
What is prob of sequence fu when two letters picked without replacement from ufuuuuuuufu?
9/55
Two letters picked without replacement from {h: 3, q: 1}. Give prob of sequence hq.
1/4
Two letters picked without replacement from hhhbehebhehbhhhe. What is prob of sequence hh?
3/10
Two letters picked without replacement from {f: 7, r: 1, z: 6, q: 6}. Give prob of sequence rq.
3/190
Three letters picked without replacement from {o: 16, n: 4}. What is prob of sequence oon?
8/57
Three letters picked without replacement from qaboggot. Give prob of sequence tgq.
1/168
Calculate prob of sequence fcf when three letters picked without replacement from {f: 11, c: 1}.
1/12
Calculate prob of sequence pxys when four letters picked without replacement from sxxyxdsgysygxpp.
1/455
What is prob of sequence ss when two letters picked without replacement from cccsccwcccccsc?
1/91
Four letters picked without replacement from pplplil. What is prob of sequence lipl?
3/140
Calculate prob of sequence hmm when three letters picked without replacement from mhmm.
1/4
Calculate prob of sequence ss when two letters picked without replacement from sppppsppps.
1/15
Calculate prob of sequence qg when two letters picked without replacement from hvvhqvmvhvmgv.
1/156
Three letters picked without replacement from {l: 3, a: 3, m: 2, u: 8}. Give prob of sequence ama.
1/280
Four letters picked without replacement from {d: 1, g: 1, l: 2, m: 2, b: 8}. What is prob of sequence mbmb?
2/429
What is prob of sequence wyt when three letters picked without replacement from wncntwyweenwnt?
1/273
Two letters picked without replacement from pbtiq. Give prob of sequence ib.
1/20
What is prob of sequence jqby when four letters picked without replacement from nqnjybqqqbyqqqqbnnq?
3/5168
Three letters picked without replacement from vbdadbdbavd. Give prob of sequence bab.
2/165
What is prob of sequence qoyo when four letters picked without replacement from {t: 1, o: 2, y: 2, v: 4, q: 1}?
1/1260
Two letters picked without replacement from wwiiiiiiiwwiwiiwiwi. What is prob of sequence wi?
14/57
Calculate prob of sequence yy when two letters picked without replacement from {k: 1, y: 11}.
5/6
Three letters picked without replacement from {t: 3, y: 1, g: 1, e: 7}. What is prob of sequence tee?
21/220
What is prob of sequence zv when two letters picked without replacement from {f: 2, u: 1, z: 5, c: 3, v: 1}?
5/132
Two letters picked without replacement from qlqqqywjqj. What is prob of sequence jq?
1/9
What is prob of sequence ac when two letters picked without replacement from {e: 1, w: 5, p: 5, c: 2, a: 5}?
5/153
Calculate prob of sequence dg when two letters picked without replacement from {y: 2, d: 2, g: 1}.
1/10
Three letters picked without replacement from ssssssmsssssssssms. Give prob of sequence sss.
35/51
Calculate prob of sequence udz when three letters picked without replacement from uwuuuzduwuwz.
1/110
Two letters picked without replacement from sssyssssssyssyysss. Give prob of sequence sy.
28/153
What is prob of sequence haa when three letters picked without replacement from ambmh?
0
Calculate prob of sequence pl when two letters picked without replacement from {p: 2, d: 1, v: 2, l: 2, w: 1, i: 1}.
1/18
Calculate prob of sequence uq when two letters picked without replacement from uyhyqab.
1/42
Calculate prob of sequence ur when two letters picked without replacement from uuuuurueruuuuuru.
3/20
What is prob of sequence xxk when three letters picked without replacement from {k: 8, x: 3}?
8/165
Four letters picked without replacement from kkknnkkknnnkn. Give prob of sequence nnnk.
7/143
Calculate prob of sequence ggf when three letters picked without replacement from {q: 3, f: 1, g: 4}.
1/28
Calculate prob of sequence kc when two letters picked without replacement from cctkrrckrrrqqccrqt.
5/153
Three letters picked without replacement from xsesxxsdxpkkpsxxx. What is prob of sequence sde?
1/1020
Calculate prob of sequence bmt when three letters picked without replacement from bqqbwmqbwbqbbbqtbmm.
4/969
Four letters picked without replacement from {v: 6, c: 3, b: 1, r: 1, x: 2, p: 2}. What is prob of sequence cxbc?
1/2730
Calculate prob of sequence blf when three letters picked without replacement from lfeblfbeeeleeeeeblb.
16/2907
Three letters picked without replacement from ssnsnsnsssssssjsssjs. Give prob of sequence snj.
1/76
Three letters picked without replacement | {
"pile_set_name": "DM Mathematics"
} |
3/219
Calculate 0 divided by -332.
0
What is 280 divided by 2?
140
42 divided by 20
21/10
Divide 1107 by -3.
-369
What is -339 divided by -69?
113/23
-840 divided by 6
-140
What is 27 divided by 5?
27/5
What is 920 divided by -5?
-184
What is -2 divided by -67?
2/67
Calculate 98 divided by 3.
98/3
Calculate -5 divided by 264.
-5/264
What is 0 divided by -89?
0
Divide 884 by 17.
52
6720 divided by -96
-70
Divide 1351 by -2.
-1351/2
480 divided by 3
160
Divide -272 by -34.
8
What is 2826 divided by -6?
-471
Calculate -40548 divided by -1.
40548
Calculate 380 divided by 76.
5
Calculate -4 divided by -311.
4/311
Calculate 540 divided by 135.
4
4 divided by 40
1/10
What is 528 divided by -132?
-4
-1378 divided by -6
689/3
Calculate 0 divided by -449.
0
-48 divided by 9
-16/3
Calculate -11 divided by 9.
-11/9
-17 divided by 147
-17/147
Divide -1168 by -2.
584
What is -240 divided by -24?
10
Divide -234 by -18.
13
Divide 505 by 101.
5
Calculate -5880 divided by -7.
840
Calculate 109 divided by -88.
-109/88
Calculate -1 divided by 36.
-1/36
-13897 divided by -1069
13
Divide 429 by -6.
-143/2
What is -95 divided by 19?
-5
Calculate -13 divided by 117.
-1/9
4 divided by 107
4/107
What is -24225 divided by -5?
4845
What is 523 divided by -6?
-523/6
Calculate -1860 divided by 10.
-186
-14 divided by -2
7
Calculate 102 divided by 34.
3
Divide -404 by -5.
404/5
Divide 675 by -75.
-9
Divide 318 by -6.
-53
-5 divided by -129
5/129
What is 0 divided by 156?
0
Calculate 3 divided by 247.
3/247
Divide -88 by -42.
44/21
Calculate 0 divided by 23.
0
-6 divided by -5
6/5
What is -54 divided by -18?
3
Calculate -40 divided by -477.
40/477
What is -3159 divided by -1053?
3
Calculate 5217 divided by 5.
5217/5
What is 1452 divided by -242?
-6
Calculate -2 divided by -309.
2/309
Calculate -35360 divided by 5.
-7072
Divide -185 by -22.
185/22
Calculate 3 divided by 2275.
3/2275
Divide 150 by 75.
2
What is -894 divided by 3?
-298
Calculate 389 divided by 11.
389/11
What is 288 divided by -72?
-4
Divide 1056 by 1.
1056
What is 218345 divided by -5?
-43669
What is 331 divided by -3?
-331/3
-405 divided by -5
81
Divide -169 by -169.
1
Calculate -6543 divided by 6.
-2181/2
Calculate 5 divided by 52.
5/52
Calculate 2696 divided by -674.
-4
What is -5 divided by 180?
-1/36
Divide 160 by -4.
-40
What is -3 divided by 104?
-3/104
352 divided by -88
-4
Divide -16392 by 3.
-5464
What is -4 divided by 72?
-1/18
Divide -4566 by 3.
-1522
What is 3192 divided by 19?
168
What is 5730 divided by -30?
-191
-4 divided by -100
1/25
4 divided by 236
1/59
-52704 divided by 6
-8784
Calculate 5 divided by -104.
-5/104
Calculate -28 divided by -23.
28/23
-163 divided by 1
-163
What is -891 divided by -27?
33
What is 3450 divided by 46?
75
-29 divided by 29
-1
Divide 315 by 3.
105
Divide 1 by 855.
1/855
34 divided by 341
34/341
What is -4020 divided by 3?
-1340
What is -992 divided by -11?
992/11
What is 0 divided by -2280?
0
What is 2303 divided by 5?
2303/5
Calculate 19779 divided by 4.
19779/4
What is 32 divided by 19?
32/19
What is 1852 divided by -926?
-2
-130 divided by -2
65
1253 divided by -5
-1253/5
-70 divided by 70
-1
Divide 1143 by -127.
-9
What is -299 divided by 13?
-23
Divide 30 by -18.
-5/3
-15 divided by -3
5
What is -22389 divided by 3?
-7463
Divide 680 by -34.
-20
Calculate 280 divided by -7.
-40
What is 275 divided by 55?
5
Divide 537 by 5.
537/5
Calculate -13 divided by -708.
13/708
What is -1324 divided by -5?
1324/5
What is 895 divided by 179?
5
-248 divided by -1
248
Divide -98 by -14.
7
Calculate -215 divided by -1.
215
-723 divided by 21
-241/7
288 divided by 32
9
5 divided by 80
1/16
Divide -52 by -168.
13/42
Divide -24 by 3.
-8
Divide 10395 by -693.
-15
Calculate -1068 divided by -5.
1068/5
What is -130 divided by 26?
-5
What is 0 divided by -78?
0
Calculate 17 divided by -5.
-17/5
Calculate 1635 divided by -15.
-109
What is 354 divided by -3?
-118
What is -26 divided by -179?
26/179
Divide 74 by -17.
-74/17
Divide -230 by -5.
46
Divide -5 by -44.
5/44
Calculate -5 divided by -191.
5/191
Divide 33 by 81.
11/27
Calculate 1 divided by -3.
-1/3
420 divided by 420
1
-888 divided by 5
-888/5
What is -420 divided by -30?
14
3122 divided by 7
446
What is 672 divided by 24?
28
Divide 14189 by -2027.
-7
27 divided by 4
27/4
Calculate -345 divided by -69.
5
Calculate 495 divided by 4.
495/4
Divide 2369 by -3.
-2369/3
What is -538 divided by 269?
-2
Calculate 112 divided by 4.
28
Calculate 17568 divided by -549.
-32
Calculate -101 divided by 14.
-101/14
What is 5 divided by -14?
-5/14
-168 divided by 12
-14
Divide 160 by 40.
4
5 divided by 59
5/59
Divide -2550 by -85.
30
Divide -2130 by -71.
30
What is -122 divided by -2?
61
What is -18490 divided by -43?
430
Calculate 42303 divided by -6.
-14101/2
Calculate -96 divided by -43.
96/43
What is 191 divided by 75?
191/75
What is -9418 divided by -17?
554
Calculate -3156 divided by 3.
-1052
What is -76 divided by -76?
1
What is 13060 divided by -2612?
-5
Divide 64 by 7.
64/7
Calculate 246 divided by 82.
3
Calculate 2 divided by 177.
2/177
What is 361 divided by -7?
-361/7
484 divided by -121
-4
Calculate 9870 divided by 470.
21
Divide -100 by 10.
-10
What is 9229 divided by -11?
-839
What is -1763 divided by 1?
-1763
Calculate 15086 divided by 397.
38
Calculate -14 divided by 2.
-7
Calculate -17 divided by 13.
-17/13
What is 5 divided by 297?
5/297
What is 4215 divided by 1405?
3
-118 divided by 19
-118/19
Divide 1002 by -2.
-501
Calculate 3330 divided by 666.
5
What is -14 divided by -143?
14/143
Divide 3 by 77.
3/77
Calculate 80 divided by -40.
-2
What is 3 divided by -75?
-1/25
Calculate -4 divided by 2505.
-4/2505
What is -4 divided by -20?
1/5
15 divided by -113
-15/113
384 divided by -6
-64
-80 divided by 2
-40
Calculate -213 divided by -56.
213/56
What is -1152 divided by -2?
576
What is 5 divided by 141?
5/141
29925 divided by -225
-133
What is -1 divided by 158?
-1/158
1 divided by 91
1/91
Divide -314 by 1.
-314
Divide 0 by 359.
0
Divide -231 by -33.
7
What is -230 divided by 46?
-5
Divide 16 by -377.
-16/377
What is -2 divided by -42?
1/21
-152 divided by 38
-4
What is -115 divided by -2?
115/2
-126 divided by -6
21
Divide -4040 by 5.
-808
Calculate 42 divided by -3.
-14
What is 6 divided by -2444?
-3/1222
Calculate 1 divided by -22.
-1/22
What is -2670 divided by 3?
-890
Calculate -1595 divided by 11.
-145
0 divided by -143
0
What is -4 divided by -2789?
4/2789
Calculate 2 divided by -55.
-2/55
-5707 divided by -13
439
What is -944 divided by -944?
1
Calculate 12 divided by -70.
-6/35
Divide 10 by -296.
-5/148
Calculate 192 divided by -6.
-32
What is -2 divided by -414?
1/207
What is -2 divided by -2042?
1/1021
Calculate 8480 divided by -10.
-848
What is -801 divided by -267?
3
Calculate -718 divided by 359.
-2
Calculate -2 divided by 3.
-2/3
Calculate -144 divided by 10.
-72/5
Calculate -151 divided by 69.
-151/69
What is 17008 divided by 4252?
4
312 divided by 15
104/5
-7 divided by -35
1/5
-24042 divided by 6
-4007
What is 66 divided by 6?
11
128 divided by 6
64/3
What is 23768 divided by -4?
-5942
What is -4774 divided by -4774?
1
Divide -42 by 17.
-42/17
Calculate -5 divided by 1195.
-1/239
-4 divided by -367
4/367
What is 1468 divided by 367?
4
Divide 6092 by -1523.
-4
Divide -1820 by -2.
910
-35 divided by 9
-35/9
What is -115 divided by 3?
-115/3
-1224 divided by -36
34
What is 120 divided by 15?
8
Divide -18 by -8.
9/4
-2956 divided by -4
739
Calculate -552 divided by -46.
12
5 divided by -54
-5/54
Divide -161 by -23.
7
2384 divided by -2
-1192
Divide 4516 by -4.
-1129
-1007 divided by 23
-1007/23
Calculate 1098 divided by -3.
-366
Calculate 16150 divided by 50.
323
Divide 3198 by -6.
-533
Calculate -817 divided by -43.
19
Divide 3 by -144.
-1/48
Divide 22 by -61.
-22/61
Divide 1852 by -2.
-926
Divide 2068 by -94.
-22
What is 8 divided by 702?
4/351
What is 116 divided by -1?
-116
Divide -166 by 2.
-83
Calculate -4 divided by 45.
-4/45
Divide 453 by 151.
3
Calculate 5 divided by 9.
5/9
What is -5 divided by 2934?
-5/2934
Calculate 355 divided by -71.
-5
Calculate 614 divided by -307.
-2
Calculate -22052 divided by 149.
-148
-493 divided by 29
-17
Divide -160 by 40.
-4
-6916 divided by -26
266
-6 divided by 80
| {
"pile_set_name": "DM Mathematics"
} |
z when four letters picked without replacement from {z: 4, g: 1, r: 3, m: 2, e: 2}?
2/55
Three letters picked without replacement from aczwt. Give prob of picking 1 t, 1 a, and 1 w.
1/10
Two letters picked without replacement from sxpixsinxdns. Give prob of picking 2 p.
0
Three letters picked without replacement from vuhxhhxurux. Give prob of picking 1 u, 1 v, and 1 x.
3/55
Calculate prob of picking 1 y, 2 h, and 1 o when four letters picked without replacement from yhohyhywhh.
1/7
What is prob of picking 1 d and 1 u when two letters picked without replacement from {u: 16, d: 1, m: 1}?
16/153
Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaaaai.
11/13
Calculate prob of picking 2 z when two letters picked without replacement from zzchchzzczc.
2/11
What is prob of picking 2 y, 1 d, and 1 s when four letters picked without replacement from dyyyyydysy?
1/5
Calculate prob of picking 1 n and 3 s when four letters picked without replacement from scxngxsynyynsxnsx.
4/595
Calculate prob of picking 2 e when two letters picked without replacement from {f: 2, o: 10, e: 2}.
1/91
Two letters picked without replacement from {r: 2, t: 1, w: 1, z: 1, s: 1, u: 1}. What is prob of picking 1 t and 1 u?
1/21
What is prob of picking 2 i when two letters picked without replacement from hzzzhhzhyiihhhh?
1/105
Calculate prob of picking 1 a and 1 v when two letters picked without replacement from susyasayyvryuuv.
4/105
Two letters picked without replacement from {r: 12, w: 1}. What is prob of picking 1 r and 1 w?
2/13
Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, p: 6, u: 1, b: 3, g: 2}.
1/20
Two letters picked without replacement from {b: 2, p: 5, n: 4}. What is prob of picking 1 p and 1 n?
4/11
Two letters picked without replacement from {r: 1, b: 1, h: 1, m: 2}. Give prob of picking 2 m.
1/10
What is prob of picking 1 e, 1 y, and 1 o when three letters picked without replacement from oryyreup?
1/28
Two letters picked without replacement from {m: 4, w: 5, i: 6, a: 1}. Give prob of picking 1 i and 1 w.
1/4
Three letters picked without replacement from ccccyiciitcy. What is prob of picking 1 i, 1 t, and 1 y?
3/110
Calculate prob of picking 2 p when two letters picked without replacement from {t: 7, p: 7}.
3/13
What is prob of picking 2 z when two letters picked without replacement from zyyyyzzzlyzzyzzzzl?
5/17
Two letters picked without replacement from rrttrrrrr. What is prob of picking 2 r?
7/12
Four letters picked without replacement from {v: 1, l: 6, d: 4, s: 4, m: 2}. Give prob of picking 1 m, 1 l, and 2 s.
18/595
What is prob of picking 4 c when four letters picked without replacement from uuuuuuuuuuuuuuuucuuu?
0
Three letters picked without replacement from uhusugusuugkusss. What is prob of picking 2 g and 1 k?
1/560
What is prob of picking 2 i and 1 k when three letters picked without replacement from {k: 1, i: 5, q: 1, m: 3, b: 2}?
1/22
Four letters picked without replacement from aaococoo. What is prob of picking 2 o and 2 a?
3/35
What is prob of picking 2 g and 2 k when four letters picked without replacement from vgvgvvkkvvggvg?
10/1001
What is prob of picking 1 z and 1 f when two letters picked without replacement from zfhlhhfhhlhz?
2/33
Two letters picked without replacement from qhnju. Give prob of picking 1 q and 1 n.
1/10
Two letters picked without replacement from {y: 1, i: 2, b: 1, d: 1}. Give prob of picking 1 y and 1 i.
1/5
Two letters picked without replacement from {x: 1, s: 3, r: 2, v: 3, o: 1, q: 3}. Give prob of picking 1 x and 1 s.
1/26
Two letters picked without replacement from {r: 3, j: 2, b: 12}. Give prob of picking 1 j and 1 r.
3/68
Calculate prob of picking 1 s, 1 q, 1 y, and 1 w when four letters picked without replacement from {y: 1, i: 1, w: 1, s: 1, q: 1}.
1/5
Calculate prob of picking 1 e and 1 i when two letters picked without replacement from eueueuiu.
3/28
Three letters picked without replacement from eeeeeeue. Give prob of picking 3 e.
5/8
Calculate prob of picking 3 t when three letters picked without replacement from {t: 4}.
1
What is prob of picking 1 j and 1 g when two letters picked without replacement from {j: 2, g: 8}?
16/45
Three letters picked without replacement from hhhohhhhhoho. What is prob of picking 2 h and 1 o?
27/55
What is prob of picking 1 z and 1 k when two letters picked without replacement from {k: 3, e: 2, z: 5}?
1/3
Four letters picked without replacement from {a: 5, s: 3, k: 2}. What is prob of picking 1 k and 3 s?
1/105
Calculate prob of picking 3 q and 1 l when four letters picked without replacement from {q: 4, l: 3}.
12/35
Three letters picked without replacement from {n: 4, b: 15}. What is prob of picking 3 n?
4/969
Three letters picked without replacement from {d: 3, k: 1, i: 7, s: 1, o: 1, c: 7}. Give prob of picking 1 o, 1 c, and 1 d.
7/380
What is prob of picking 2 x and 2 s when four letters picked without replacement from {x: 2, s: 9}?
6/55
Calculate prob of picking 2 g when two letters picked without replacement from {m: 1, b: 1, g: 2}.
1/6
Calculate prob of picking 1 y and 1 d when two letters picked without replacement from ddyyydy.
4/7
Two letters picked without replacement from tzkkzkrtztttz. What is prob of picking 1 k and 1 z?
2/13
Three letters picked without replacement from kzddkdzdk. What is prob of picking 1 d, 1 z, and 1 k?
2/7
What is prob of picking 2 d when two letters picked without replacement from {d: 4}?
1
Calculate prob of picking 2 r when two letters picked without replacement from {g: 1, r: 7}.
3/4
What is prob of picking 1 o and 1 u when two letters picked without replacement from weeowcweuxc?
1/55
What is prob of picking 1 v and 1 e when two letters picked without replacement from vqqeeqejjbqbrvqr?
1/20
Calculate prob of picking 1 e and 1 m when two letters picked without replacement from ecmmhhmmhkkmeeemm.
7/34
What is prob of picking 2 d when two letters picked without replacement from ddkddkkkdkdkkdkddddk?
11/38
Calculate prob of picking 1 y and 2 h when three letters picked without replacement from {h: 2, p: 1, n: 2, u: 1, y: 2, z: 1}.
1/42
Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {x: 2, e: 2, b: 4, m: 2}.
8/45
Four letters picked without replacement from mwmmwmwwmmmmmnmmwm. What is prob of picking 3 w and 1 n?
1/306
What is prob of picking 1 l and 3 b when four letters picked without replacement from lbllblblmbb?
5/33
Calculate prob of picking 2 o when two letters picked without replacement from offo.
1/6
Three letters picked without replacement from geqgfwg. Give prob of picking 1 w, 1 e, and 1 f.
1/35
Calculate prob of picking 1 d and 1 b when two letters picked without replacement from dbbdbbddbbb.
28/55
What is prob of picking 1 s and 1 w when two letters picked without replacement from {s: 1, h: 4, l: 1, w: 2, v: 9}?
1/68
Two letters picked without replacement from xpxpyydpmdppmpdpp. Give prob of picking 1 d and 1 y.
3/68
Two letters picked without replacement from hhcpdpchcchppppchc. What is prob of picking 1 p and 1 c?
4/17
Calculate prob of picking 1 z, 1 l, and 2 t when four letters picked without replacement from tteslszlss.
1/105
Two letters picked without replacement from eeutkkkkk. What is prob of picking 1 u and 1 t?
1/36
What is prob of picking 2 i when two letters picked without replacement from {i: 2, z: 1}?
1/3
Three letters picked without replacement from isiisisiiisiississs. Give prob of picking 3 i.
40/323
Calculate prob of picking 1 a and 2 e when three letters picked without replacement from {i: 1, e: 3, m: 5, y: 3, a: 3, o: 3}.
3/272
Three letters picked without replacement from {d: 1, h: 2, w: 4, t: 2}. What is prob of picking 2 t and 1 w?
1/21
Four letters picked without replacement from {x: 2, s: 1, c: 1, l: 1, i: 1, z: 1}. Give prob of picking 1 c, 1 i, 1 s, and 1 x.
2/35
Four letters picked without replacement from fffaafff. Give prob of picking 2 f and 2 a.
3/14
Calculate prob of picking 1 s, 1 d, and 1 k when three letters picked without replacement from bkbxssnskkbnssnxxd.
5/272
Four letters picked without replacement from {a: 2, t: 2, s: 1, x: 1, d: 1, i: 1}. What is prob of picking 2 a and 2 t?
1/70
| {
"pile_set_name": "DM Mathematics"
} |
be (8/6)/((-1176)/(-36)). Which is bigger: 0 or f?
f
Let y = 1/42 - 5/14. Which is smaller: y or 1?
y
Let z be (-4 + 3)*(0 + -1). Let y = z - 0. Suppose 5*x + 2*i - 1 = y, 2*i - 2 = 0. Is 2/5 < x?
False
Let x = -29/46 + 3/23. Which is smaller: x or -3?
-3
Let q be 1/(-1)*3*12/9. Let k = -6 + 9. Suppose -4*u + k*g + 3 = -0, -5*u - 5 = -2*g. Which is smaller: q or u?
q
Let t be (4/(-9))/(3/9). Let h be -1 - 6/(-2) - 3. Let p = h + 1. Which is smaller: p or t?
t
Suppose -5*f - 4*f - 9 = 0. Which is smaller: -2/197 or f?
f
Let p be 4014/4 + (-2 - -1). Let w = p - 917. Let r = -84 + w. Which is greater: 1 or r?
r
Suppose -29 = -4*k + 3*w, 4*k + 2*w = -0*k + 14. Is 6 at most k?
False
Suppose 9*k = 22 + 5. Which is greater: k or 2?
k
Let j = 10 - 8. Suppose 0 = -y + 2 - 0, 2*y = 3*a - 2. Is a equal to j?
True
Let l = 9 - 6. Suppose -7*r + 16 = -3*r. Is r at least as big as l?
True
Let x = 2.114 - 0.054. Let f = x - 0.06. Let p = -8 - -7.9. Which is bigger: p or f?
f
Let i be 0 + 2 + (-1 - -1). Suppose 0 = i*c - 10 - 0. Let z(n) = n**2 - 4*n - 6. Let q be z(c). Which is greater: q or -1/7?
-1/7
Suppose -3*l + 7 = -2. Let z be 49/2 - (l - 5). Let t = z - 26. Is t bigger than 0?
True
Let u(w) = 23*w + 15. Let z be u(-3). Which is greater: -107/2 or z?
-107/2
Let u = 3 - -1. Let v = -1/6 + 8/3. Which is greater: u or v?
u
Let g = 1.1 - 0.1. Let h = 0.2 + -0.3. Let y = 0.1 - h. Which is greater: y or g?
g
Let v = -8 - -8.11. Let b = 3.89 + v. Let o = b + -4.1. Which is greater: o or 1?
1
Let c(a) = a**3 + 15*a**2 - 35*a - 22. Let z be c(-17). Is z >= -5?
True
Let v = 82 + -572/7. Let t(y) = -4*y**2 - 28*y. Let q be t(-7). Which is bigger: v or q?
v
Let u = 4 - 9. Let m(w) be the first derivative of -w**3/3 - 3*w**2 - 4*w - 2. Let h be m(u). Is h != 1?
False
Let a = -13/1800 - 6314231/23400. Let q = a + 270. Suppose 0 = 6*w - 2*w. Is q <= w?
False
Let v(r) = r**3 + 9*r**2 - 11*r - 8. Let x be v(-10). Let l = -5/17 + 151/51. Is l smaller than x?
False
Let m = 15 - 9. Let c(t) = t - 5. Let w be c(8). Suppose -4*q + 2*s + 12 = -m, w*s = -9. Which is smaller: q or 0.1?
0.1
Let a = -76 - -1063/14. Let u = a + -95/42. Which is greater: -3 or u?
u
Let h = -353 + 8823/25. Let t = 31/75 + h. Do t and 0.9 have the same value?
False
Let u = -118/3 + 39. Which is greater: u or 12?
12
Let a be 1 + (-1)/((-4)/(-6)). Let u be 12/9 - (-10)/15. Suppose 4*j + 0*j - c + 4 = 0, u*j - 4*c + 16 = 0. Does a = j?
False
Let p be (-8)/(-17)*3/6. Suppose -l = -0*l - 5*q - 9, -5*l = -5*q - 5. Which is bigger: p or l?
p
Suppose 2*l - 8 = 2*v, 0*v + 9 = 3*v + 4*l. Let s be 3*(v + 0) - 4. Is -3 smaller than s?
False
Let a(n) = -n - 1. Let q(v) = -v**3 + 5*v**2 - 3*v - 11. Let b(p) = 4*a(p) - q(p). Let t be b(5). Which is smaller: 1 or t?
1
Let l(y) = 10*y**2 + y. Let m be l(-1). Let c be 4/9 + (-2)/m. Is c at most 2/7?
True
Let v = -12 + 22. Let q(h) = -h**2 + 10*h - 1. Let c be q(4). Suppose 4*x - 13 - c = 0. Is x <= v?
True
Suppose 19 = -o + 48. Which is bigger: 27 or o?
o
Let k(s) = s**2 - 10*s. Let q be k(10). Let o = q - 2. Are -1 and o nonequal?
True
Let w = -39 - -40. Is 2/23 less than w?
True
Let i = 0.1 - -0.9. Is -5 at most as big as i?
True
Suppose 5*t - 6 = -3*g, -t + 0*t = g - 4. Let y(a) = 5 - 3*a**3 + 6*a**2 + 2*a**3 + 7*a - 4. Let i be y(g). Which is greater: 1/2 or i?
i
Let k be 4/6*(-6)/12. Is k at most -1?
False
Let q be (-4)/((-60)/85)*1. Are 5 and q equal?
False
Let f = -0.19 - -0.59. Are 3 and f equal?
False
Let y(t) = -3*t**3 + t**2 + t + 1. Let o be y(-1). Suppose s - o*s = -9. Is s bigger than 5?
False
Suppose -9 = -3*g - 3. Suppose -g*v - 2*v = 0. Let m = -8 + 26/3. Which is smaller: m or v?
v
Let x = 0 - 0.1. Let h = 68 + -67.94. Which is greater: x or h?
h
Let b = 0.16 - -0.04. Which is smaller: 3 or b?
b
Let m = -10 + 13. Suppose 3*z + 19 = q - m*q, 3*q + 25 = -z. Which is smaller: -9 or q?
-9
Let q = 1 + -1.2. Let f = -108 - -108. Is q <= f?
True
Let i = -3.1 - -2.9. Which is bigger: -0.34 or i?
i
Let t = 22 - 3. Is t not equal to 17?
True
Let s be (-725)/10*36/(-15). Let r = s + -2260/13. Which is greater: r or 1?
1
Let t(f) = -2*f + 2. Let u be t(2). Let b be (-8)/(-8) + u/(-6). Is b not equal to 2?
True
Let c be 20/8*(-4)/(-5). Suppose c*m - m = -3. Is 1 at most m?
False
Let a be 0 + -4 + -2 + -1. Let h = a - -9. Let o be (h + 0)*(-2 - -3). Are o and 5/2 unequal?
True
Suppose -4*o = -9*o - 15. Is o greater than 0?
False
Let s = 2 - 2. Let x = 2/931 + -1952/41895. Does x = s?
False
Let a = -27 - -28.1. Let g = 1.13 - a. Are -0.1 and g nonequal?
True
Let w = -5 - -4.9. Which is smaller: w or 9?
w
Let r = 5/18 - 1/2. Is r < 2?
True
Suppose 7*p = 2*p. Let g = 14 + -8. Suppose -3*r - g = -p. Which is greater: -1/2 or r?
-1/2
Let u = -4.98 - -5. Let q = u - -0.98. Let p = -3 - -2. Is q at least p?
True
Let w(x) = x - 20. Suppose -3*a = 3*g + 18 - 78, -5*a + 73 = -4*g. Let t be w(a). Which is greater: t or -14/5?
-14/5
Suppose c - 16 = 2*g, g = -5*c + 3*g + 40. Which is greater: c or 5?
c
Let w = -6 + -5. Let t = -6 - w. Let i be 15/(-9)*(-1)/t. Which is smaller: -2/9 or i?
-2/9
Let w = 62.9 - 84. Let d = -22 - w. Is d bigger than 1/2?
False
Let k = 0.17 + 0.03. Let y = k + 0.1. Which is smaller: -2 or y?
-2
Let n be (112/32)/((-2)/16). Let a be (-1)/(-6)*n/(-21). Which is smaller: a or 1?
a
Let x be -2 - (3 + 0 + -11). Let c be 3 + ((-32)/x - -3). Suppose k + 5*p = -14, -5*k + k + 7 = -p. Which is smaller: c or k?
c
Suppose 2*r = -3*r. Suppose -2*u + 1 - 3 = r. Let m be (u - -2)*(-2)/4. Does -0.1 = m?
False
Let d(c) = -3*c**3 - c**2 + 2*c - 1. Let n be d(1). Let r = n - 2. Let i = 5 + r. Is i greater than or equal to 1?
False
Suppose 0 = 2*o - 5*o. Suppose 2*s + 4 = -4*a - 2, 3*s - a - 5 = o. Let q(w) = -w**3 - 4*w**2 - 2*w + 2. Let x be q(-3). Which is smaller: s or x?
x
Suppose 4*t + 5 = 9. Is t less than or equal to 4/9?
False
Let r = -15 - -17. Which is smaller: r or 4/5?
4/5
Let p(z) = z**2 - z. Let y be p(0). Which is smaller: y or -3?
-3
Let w = 3 + -3. Suppose -28 = -3*t + 5*b, 2*t + 0*b - 2*b - 12 = w. Which is greater: t or 0?
t
Let q = -6/37 - -116/259. Let l be (-1 - -3)*6/(-12). Let a be 0/(2*l + 0). Is a greater than q?
False
Let q = 8.6 + -8.56. Which is greater: q or 1/2?
1/2
Let w = -0.063 - -2.063. Which is bigger: w or 5/4?
w
Suppose z + 2*z + 29 = -2*q, -4*z + 52 = -3*q. Let y = q - -15. Let a be (1/(-3))/(6/9). Is a smaller than y?
False
Let n(f) = 3*f + 8. Let u be n(-6). Is -9 greater than u?
True
Let b be (-90)/25 - (-5 + 1). Is 1 > b?
True
Suppose -22 = -4*f - 2*k + 6, 2 = -2*f + 3*k. Suppose 0 = -3*t + 3*x + 9, 0*t - f*t + 3*x = -11. Let r be (-3)/7 + 2 + -2. Is r > t?
False
Let y(b) be the third derivative of b**4/24 - b**3 + 2*b**2. Let q be y(6). Let t = -1 - q. Is 2/11 greater than or equal to t?
True
Let c(n) = n**2 - n + 3. Let p be c(0). Suppose 0 = -2*k + 5*k + p. Which is smaller: 4/7 or k?
k
Let c = 16779/4 + -4154. Let z = c - 40. Let b be ((-2 - -2) + 0)/(-2). Are b and z non-equal?
True
Let x be 3/12*0*-1. Which is smaller: x or 3/7?
x
Let y = 3 - 2. Let u = -0.3 - -0.1. Which is smaller: y or u?
u
Suppose 4*f - 5 + 1 = 0. Let g be (f/(-2))/(49/28). Is g at least as big as 1?
False
Let s be 3/((-102)/(-28)) - (-20)/(-10). Which is greater: -1 or s?
-1
Let r(s) = s**2 - 8*s + 3. Suppose 0 = -2*p - 3*p + 40. Let q be r(p). Suppose -t = 3*t - 4. Which is smaller: t or q?
t
Let s = -39.5 + 39. Is 0.02 > s?
True
Suppose 4*w - 4 = 2*w. Let n be (1*-2)/(-2*2). Which is smaller: w or n?
n
Suppose 4*n - 1 - 9 = -2*a, 3*n = -3*a + 3. Suppose 0 = n*h - 4, 3*t + 4 = 2*t + 5*h. Is t at most as big as 1?
True
Let d = 21/41 + 551/205. Is 4 at least d?
True
Let p be (-9 - 10/(-2))*1/(-4). Is p greater than 1/119?
True
Suppose 0 = 3*q - 6*q - 42. Let p be ((-13)/4 + 0)*(-14 - -18). Is q greater than p?
False
Let b = 8 - 29. Are b and -21 non-equal?
False
Suppose -f + 2*w = -10, 4*f - 4*w = 24 - 0. Let j be 0/(-3) + f*-1. Let g = 1002/5 + -201. Is g > j?
True
Let k be 2*(-10)/(-12)*3. Suppose k*m + 3 = 8. Let d be 24/18 + (-3)/2. Which is bigger: d or m?
m
Let z = -966/11 + 88. Let n be 6/(-4) + 1/2. Is n at most as big as z?
True
Let j = -193 - -819/4. Let n = j - 219/20. Is n equal to 0?
False
Let w(o) = -o**2 + 11*o + 11. Let k be | {
"pile_set_name": "DM Mathematics"
} |
to -0.2? (a) -4 (b) -21 (c) -0.1 (d) 1/4
c
Which is the nearest to -28? (a) 1/2 (b) 2/11 (c) -0.1
c
Which is the nearest to -1/2? (a) -0.4 (b) -1/6 (c) 2/57 (d) -0.1
a
Which is the closest to -0.1? (a) 1 (b) -1/2 (c) -0.4 (d) 0.4
c
Which is the nearest to 0.1? (a) -19 (b) -1.9 (c) 3
b
What is the nearest to 1 in 2/7, -15, -12, 5?
2/7
Which is the closest to 2? (a) 2/15 (b) -0.4 (c) 36 (d) 1/5
d
What is the nearest to -11 in 5, 0, -1?
-1
Which is the closest to 1? (a) -4 (b) 5 (c) 1.6 (d) -5
c
Which is the closest to -1? (a) 30/23 (b) 2/7 (c) -5
b
Which is the closest to 1? (a) -0.1 (b) 19/2 (c) 0.4
c
What is the closest to -0.1 in 3, -0.1, -0.026, 5?
-0.1
What is the closest to 1 in 1/8, 1, -19?
1
What is the closest to 7 in 0.4, 0, -1/6, 1/4?
0.4
What is the closest to -2/3 in 0.3, 1, -3/7, -6/17?
-3/7
Which is the closest to -1? (a) 2 (b) -0.5 (c) 3
b
What is the nearest to 0.1 in -3, 0.3, -0.07, 1/2?
-0.07
Which is the nearest to -1/3? (a) 1/2 (b) 0.07 (c) 0 (d) 4
c
What is the closest to 0.2 in -0.2, -4, -3, 5?
-0.2
What is the nearest to 4 in 0.06, 2, 4, -12?
4
Which is the closest to -1/4? (a) -21 (b) 4 (c) -1 (d) -5
c
Which is the nearest to -23? (a) -6/13 (b) 5 (c) 1/9
a
Which is the closest to 38? (a) -1 (b) 4 (c) -1/8 (d) -0.026
b
What is the nearest to -1/2 in -1, -2, 0.5, 3?
-1
What is the closest to -0.3 in 1.1, 5, 3, 2/9?
2/9
What is the closest to -1 in 4, -2/9, -7, 0.7?
-2/9
Which is the closest to -1? (a) -1.8 (b) 3/2 (c) 4
a
What is the nearest to -7 in 2/7, -3/8, 2/5, -2/5?
-2/5
Which is the nearest to -3? (a) -5 (b) 0.2 (c) 4 (d) 0
a
What is the nearest to 0.2 in -2, 6/11, -5, -2/17?
-2/17
Which is the closest to 0.047? (a) 2 (b) 15 (c) -2/11
c
Which is the closest to 6? (a) -1/4 (b) -0.2 (c) 2/7 (d) -7
c
Which is the nearest to 46? (a) 0.5 (b) 3/2 (c) 4
c
What is the closest to -22 in 3/4, -5, -0.5, 0.2?
-5
What is the nearest to 1 in 4, 2/5, 3, 5?
2/5
Which is the closest to 1/38? (a) 0 (b) -0.2 (c) 1/2 (d) -5
a
What is the nearest to -0.086 in -8, -1/5, 0.1?
-1/5
What is the nearest to -2 in 0, -1, 2/9, -2/5?
-1
What is the nearest to -1/4 in 5/2, -7, 0.01?
0.01
What is the nearest to 0 in -7, -10, 2/11?
2/11
What is the nearest to 1 in 4, -0.4, 133?
-0.4
Which is the closest to -0.2? (a) 1 (b) 5/3 (c) -0.4 (d) -5
c
Which is the closest to 1/4? (a) 1 (b) -18 (c) -0.07 (d) 0.3
d
What is the closest to -1 in 0, 1/5, -0.5, -6?
-0.5
What is the closest to -13 in 1/3, -4, -2/3, 2?
-4
What is the closest to 0 in 0.04, 9, 54, 3/4?
0.04
What is the nearest to 68/5 in -5, -2/5, -0.2, -0.1?
-0.1
Which is the nearest to -0.1? (a) 1 (b) 1/2 (c) 2/11 (d) -1/4
d
What is the nearest to -0.1 in -64, -3, 4, 2/3?
2/3
What is the closest to 0.1 in -14, -56/5, -2/11, -5?
-2/11
Which is the nearest to 0? (a) 4 (b) 11 (c) 1/5
c
What is the closest to 0.3 in -5, 2, 0.047, 0.5?
0.5
Which is the nearest to 9? (a) -0.3 (b) -2 (c) -1 (d) -1.53
a
Which is the nearest to -1/7? (a) -0.5 (b) 0.1 (c) -5
b
What is the closest to 9/5 in 3, 4/7, -1/5, 0.01?
3
Which is the nearest to -3? (a) -0.3 (b) 0.06 (c) 0.2
a
What is the closest to 1/3 in 1/4, 1.1, -1, -0.2?
1/4
Which is the closest to 1? (a) -1 (b) 0 (c) -4/5 (d) 18/13
d
What is the nearest to 28 in -0.4, -3, 3/8, 4?
4
Which is the closest to -11? (a) 2/3 (b) 15 (c) 0.3
c
What is the nearest to 1 in 14, 2/11, -2/9?
2/11
What is the nearest to -18 in 1, 3, 0.23, -0.1?
-0.1
Which is the nearest to 1/4? (a) 4 (b) 3/2 (c) -4 (d) 20/7
b
Which is the nearest to 0.11? (a) -2 (b) -1 (c) -136 (d) 3
b
Which is the closest to -0.2? (a) 4 (b) -0.06 (c) -0.1 (d) 2/23
c
Which is the nearest to 2/3? (a) -1/4 (b) 1.31 (c) -2/13 (d) 3
b
Which is the closest to 2/7? (a) -2/5 (b) -2 (c) 0.4
c
Which is the closest to 0? (a) 0.6 (b) 2 (c) -2/13 (d) 0.5
c
Which is the closest to -1/2? (a) 8 (b) 4/3 (c) -0.4 (d) -0.5
d
Which is the nearest to 2? (a) 0.19 (b) 1/6 (c) 0.2 (d) -1
c
What is the nearest to 1 in 0, 0.03, 45/7, -5?
0.03
What is the closest to 0 in 7, 0.03, 0?
0
Which is the nearest to -1? (a) 4 (b) 0.2 (c) 5 (d) -3
b
What is the closest to -10 in 5, 2/9, -0.1?
-0.1
Which is the nearest to 1? (a) -2 (b) 3/2 (c) 1/6 (d) -1
b
What is the nearest to -1/3 in -1338, -0.3, 5?
-0.3
What is the closest to -2/3 in 8, 1, -1, 0?
-1
Which is the nearest to 3? (a) 2 (b) 0 (c) 55/3
a
Which is the nearest to -2/3? (a) -3 (b) 0.2 (c) -5 (d) -29/3
b
Which is the closest to 33? (a) -0.1 (b) 3 (c) 1
b
What is the nearest to 5 in -1, -13, -5?
-1
Which is the closest to 1? (a) -0.26 (b) 3.9 (c) -5
a
Which is the nearest to -1? (a) 0.7 (b) 5 (c) 1.8 (d) 2/19
d
What is the nearest to -2 in 3, 1.1, 0.1?
0.1
Which is the closest to -0.25? (a) 0 (b) -1.2 (c) -5
a
What is the closest to 24 in -4, 3, 0.2?
3
Which is the nearest to -1? (a) 0 (b) -0.2 (c) -106 (d) 3
b
What is the closest to -28 in -2/15, 32, 0.5?
-2/15
Which is the nearest to 0.1? (a) 1/3 (b) -5 (c) -4/7 (d) -1/234
d
What is the nearest to 1 in -16, 0.4, -29, -1/6?
0.4
Which is the closest to -2? (a) 9 (b) 0.1 (c) 2 (d) 1
b
Which is the nearest to 0.5? (a) -3 (b) 12 (c) 5 (d) -1/8
d
Which is the nearest to 1? (a) 0.2 (b) 3 (c) -1.15
a
What is the closest to -1 in -92, -3, -3/2?
-3/2
What is the closest to 1 in 2/5, 5/4, 0, -1?
5/4
Which is the closest to 0.2? (a) 3 (b) -4 (c) -3 (d) -1/3
d
What is the closest to -13 in 50, 3, -3?
-3
What is the closest to 0.1 in -2, -10/7, 48?
-10/7
What is the nearest to 11 in -0.14, -10, 4?
4
What is the closest to -0.2 in -0.4, 0.3, -2/23, -1/7?
-1/7
What is the closest to 0 in 4, 0, 2, 9?
0
What is the nearest to -2/5 in -129, -1/2, -0.4?
-0.4
What is the closest to 0.2 in 2, 38, -2?
2
Which is the nearest to 0? (a) -2 (b) -656 (c) -0.1
c
What is the closest to 7 in -4, 8, 4/5, -2/9?
8
What is the nearest to -1/3 in 2/9, 3, -2/23, -18?
-2/23
What is the nearest to -2/7 in -6/7, -2, -5?
-6/7
What is the closest to -2/7 in -4, 0.1, 11/3, -5/6?
0.1
Which is the closest to -4/5? (a) 3 (b) -0.6 (c) -2
b
Which is the closest to 0.1? (a) -3 (b) 3 (c) -2675
b
Which is the closest to 128? (a) -3 (b) -0.5 (c) 0
c
Which is the closest to 1/5? (a) -0.45 (b) 1/4 (c) -4 (d) 3
b
What is the nearest to -1 in 3/10, -2, -5?
-2
Which is the nearest to 2/7? (a) 4/7 (b) -14 (c) -0.3 (d) 2
a
Which is the nearest to -1/48? (a) -1/2 (b) 1/9 (c) -4
b
Which is the closest to 0? (a) -0.4 (b) -14 (c) -0.3
c
What is the nearest to -1/3 in 2, 47, 8, 3/8?
3/8
Which is the nearest to -1/17? (a) 4 (b) -4/9 (c) -0.05 (d) -14
c
Which is the nearest to 1? (a) -7 (b) -2 (c) 0.2 (d) -3
c
Which is the nearest to -2? (a) 1/4 (b) 13/2 (c) -0.4 (d) 1
c
What is the closest to 2/5 in -44, 1/2, -1?
1/2
What is the closest to -0.1 in 0.1, -5/6, -5?
0.1
What is the nearest to 3.321 in -3, -4, 5?
5
What is the nearest to 1/4 in -0.02, -1, 0.1, 3?
0.1
Which is the nearest to 0.11? (a) 5 (b) 4 (c) -4/3 (d) -5
c
Which is the nearest to 2? (a) 0.2 (b) 4/3 (c) -2
b
Which is the nearest to 2? (a) 0.243 (b) 1 (c) -1
b
What is the closest to -2/7 in 1, -0.5, -5, 4?
-0.5
Which is the closest to 0.2? (a) -1 (b) 4 (c) -2 (d) 5
a
Which is the closest to -0.1? (a) -55/3 (b) -2 (c) 3/2
c
What is the nearest to -8 in -2, -3/2, 3?
-2
What is the nearest to -0.03 in 1/10, -9, 2/3?
1/10
What is the closest to 0.136 in -1, -3, 5?
-1
What is the closest to 1 in 16, -1, -4?
-1
Which is the closest to -1? (a) -1 (b) 2 (c) -2
a
What is the closest to -2/161 in -1/6, -2, -2/3?
-1/6
What is the nearest to -0.273 in 7, 2, -5?
2
Which is the closest to -3/13? (a) -1/11 (b) 3 (c) -0.02
a
What is the closest to -2 in -3, 3, 8, -0.2?
-3
What is the closest to -4 in 75, -2/9, 0.2?
-2/9
What is the closest to 1/3 in 2/145, 1, 3/2?
2/145
What is the nearest to 5 in -3, -5, -4, -0.29?
-0.29
Which is the nearest to 7? (a) -2 (b) 4 (c) 25.9
b
Which is the closest to 1? (a) -5 (b) 569 (c) -3 (d) -2
d
What is the nearest to 0.3 in 0.3, -8, -2?
0.3
What is the closest to -2 in 1/3, -151, -0.5, -0.4?
-0.5
Which is the nearest to -4/3? (a) 1 (b) -72 (c) 5
a
Which is the | {
"pile_set_name": "DM Mathematics"
} |
vative of -k**2/2 + 8*k - 116. Give o(3).
5
Let b(x) = 2*x**2 + 65 + 2*x + 61 - 3*x**2 - 121. Determine b(-4).
-19
Let h(n) = 2*n**3 - 2. Let x(i) = 5*i**3 - 3*i**2 - 4*i - 3. Let f(b) = 2*h(b) - x(b). Suppose -3*t + 6 = -3*p, 22 = p + 3*t + 4. Calculate f(p).
11
Let n(j) be the first derivative of -j**3/3 + 13*j**2/2 - 3*j + 7. Let i(d) = 3*d**2 - 38*d + 10. Let o(b) = -4*i(b) - 11*n(b). What is o(7)?
7
Let s(j) = -1 - 108*j**3 + 214*j**3 - 111*j**3. Let x = -3 - -4. Calculate s(x).
-6
Let a be 3/12 - (-108)/(-48). Let j(b) = -3*b**2 + 6. Calculate j(a).
-6
Let i(r) = -r**2 + 13*r + 90*r - 98*r - 2. Give i(2).
4
Let q = 19 - 22. Let f(i) be the second derivative of -i**4/24 + i**3/2 + i**2/2 - i. Let x(u) be the first derivative of f(u). Give x(q).
6
Let d(s) = -24*s**2 + 39*s + 12. Let l(h) = -13*h**2 + 20*h + 7. Let y(k) = -6*d(k) + 11*l(k). Calculate y(6).
-43
Let d = -48 - -51. Let g(y) = -2*y + 0*y + 2*y - 10 + y**2 + y**d + y. What is g(0)?
-10
Let i(y) = -10 - y**2 + 9*y + y**2 + 0*y**2 - y**2. Let g be i(7). Suppose -2*j = -5*m - 20, -j = g*m - 3*j + 18. Let h(a) = -2*a**2 - 3*a - 3. Determine h(m).
-5
Suppose -3*x + x = -4. Let c be (-2)/(x/1 + 0). Let z(h) be the first derivative of -h**3 + h**2 + h - 51. Determine z(c).
-4
Let u(d) be the first derivative of d**4/2 - 4*d**3/3 + d**2/2 + 3*d + 241. What is u(3)?
24
Let i be (-5)/(-10)*0/(-2). Suppose i = -11*x + 23 + 10. Let u(w) = 4 - 3*w + 0*w - 1. What is u(x)?
-6
Suppose -2*g = 5*y - 15, 4*y + 3*g = -g. Let u(f) = 6*f**2 - y + 4*f + f**3 + 11 - f. Give u(-6).
-12
Let w(b) = b**3 + 8*b**2 + 8*b + 4. Let l be w(-7). Let d be l/(-6)*0/(-2). Let n = 5 - d. Let c(f) = f**3 - 6*f**2 + 4*f + 7. Determine c(n).
2
Let k(o) = -6*o - 4. Let n be k(-4). Suppose 25*u - 25 = n*u. Let j(x) = -x**3 + 6*x**2 - 8*x + 3. Give j(u).
-12
Let l = -7 + 8. Let n be (l*10)/(-9 - -10). Suppose -6*h + n = -32. Let q(r) = -r + 3. Give q(h).
-4
Let b = -22 + 9. Let r = b + 16. Let n(l) = 4*l**2 - 2 + 2*l**3 - 5*l - 3*l**r + 2*l**3. Calculate n(-5).
-2
Let z(s) = -s**2 + 10*s - 3. Let f = 20 + 35. Let o = f - 45. Give z(o).
-3
Let y(f) = -14*f**2 + 99*f - 5. Let d be y(7). Let h(w) = 13*w**2 - 2*w - 7. Let j(i) = -7*i**2 + i + 4. Let v(a) = -6*h(a) - 11*j(a). Calculate v(d).
-4
Let d(k) = k**2 - 5*k + 1. Let m(h) = h**3 + 10*h**2 - 12*h - 9. Let a be m(-11). Let f be (3/1 - a) + 8. Let s = -4 + f. Calculate d(s).
1
Let d(c) = 2084 + 2090 + 2*c - 4160. Determine d(0).
14
Let b(p) be the second derivative of p**3/6 - p - 94. What is b(5)?
5
Let p(l) = l**3 + 2*l**2. Let f(c) = -2*c**2 + 22*c**3 - 23*c**3 + 7 + 4*c - 2 - 4. Let o be f(-3). What is p(o)?
0
Let r(u) = u**3 - 9*u**2 + 3*u - 5. Let q(g) = -g**3 + 10*g**2 - 3*g + 5. Let b(d) = 4*q(d) + 5*r(d). Let x(f) = -5*f + 94. Let s be x(18). What is b(s)?
-9
Suppose -26 = 5*k - 1. Let z(y) = 1 + 13 + 0 - 3*y - y. Let s(b) = -2*b + 7. Let a(v) = k*s(v) + 3*z(v). Calculate a(5).
-3
Let s = -4 - -4. Suppose 0 = 3*h - 105 - 171. Let p(u) = 4 - h*u + u**2 + 93*u + 6 - 2. Give p(s).
8
Suppose -4*h - 2 = 3*w - 16, -h + 3 = w. Suppose 4*j = 3*j + 5. Let r(c) = 65*c - 4*c**2 + 1 + c**3 - 69*c - j. What is r(h)?
1
Let m(n) = -8*n. Let r(h) = -h + 9. Let s(j) = 1. Let w(p) = r(p) - 4*s(p). Let z be w(8). Let l = z + 2. Give m(l).
8
Let h = -518 + 521. Let o(u) be the first derivative of -u**2 + 5/3*u**h - 7 - u. Determine o(-1).
6
Let x(r) = r - 3. Let h be ((15/(-6))/(-5) - 1)*0. Calculate x(h).
-3
Let g(a) be the second derivative of -a**5/20 + 2*a**4/3 - 4*a**3/3 + 5*a**2/2 + 11*a. Let z(d) = 5*d + 12. Let q be z(-1). Calculate g(q).
-2
Let m(j) = -2*j**3 - 4*j**2 - 6*j - 2. Let r be m(-2). Suppose 17*d - r*d = 21. Let b(i) = -i**3 + 4*i**2 + 2. Give b(d).
11
Let g(i) be the second derivative of -i**3/6 + i**2/2 - 84*i. What is g(4)?
-3
Let q(u) = -9*u**3 + 7*u**2 + 6*u - 6. Let f(l) = 10*l**3 - 8*l**2 - 7*l + 7. Let t(n) = 5*f(n) + 6*q(n). What is t(1)?
-2
Let b(f) = -5*f + 13. Let k(t) = -2*t**3 - 7*t**2 + 30*t + 5. Let q be k(-6). Calculate b(q).
-12
Let c(x) be the third derivative of -x**4/24 + 3*x**3/2 + 2*x**2. Let y(o) = 78*o - 533. Let a be y(7). What is c(a)?
-4
Let y = 588 + -588. Let m(f) be the second derivative of -2*f + y - 1/6*f**3 + 3*f**2. Give m(6).
0
Let s(c) = -c**3 + 6*c**2 - 3*c - 6. Suppose 44*h + 75 = 59*h. Suppose 0 = 3*z - 2*k + 4, -2*z + k = -z + 2. Suppose -i + 10 - h = z. Determine s(i).
4
Let k(c) = 26*c + 6. Let f(u) = 5*u + 1. Let j(z) = 11*f(z) - 2*k(z). Let n = -39 + 41. Calculate j(n).
5
Let l(w) = w**3 + 5*w**2 - 5*w - 5. Suppose -26 = 25*i + 124. Calculate l(i).
-11
Let f(v) be the second derivative of 7/6*v**3 + 0 - 11*v - 3*v**2 - 1/12*v**4. Calculate f(5).
4
Let y(q) be the third derivative of 3*q**4/4 + 5*q**3 - 403*q**2. Give y(-2).
-6
Let i = -4534 + 4531. Let y(g) = 2*g**2 - 2*g - 3. Let l(b) = 3*b**2 - 2*b - 3. Let d(o) = -4*l(o) + 5*y(o). Calculate d(i).
-15
Let a(z) = -847*z**2 + 1695*z**2 - 849*z**2 + 4*z. Determine a(5).
-5
Let o(t) be the first derivative of -t**4/4 + 5*t**3/3 + 7*t**2/2 - 9*t - 38. Let n(v) = 3*v - 9. Let k be n(5). What is o(k)?
-3
Let l(t) be the third derivative of 0 + 1/2*t**3 - 19*t**2 + 0*t + 1/6*t**4. Suppose -4*w + w = 6. Give l(w).
-5
Let c(t) be the first derivative of -2*t**2 - 5*t - 273. Calculate c(-4).
11
Let o(q) = -9*q**3 + q**2 + q + 1. Let w(u) = 3*u - 1. Let t(y) = -13*y + 4. Let v(r) = -2*t(r) - 9*w(r). Let i be v(2). Determine o(i).
10
Suppose w - 8 = 3*w, -5*d = 3*w - 3. Let z(f) = f**3 - 2*f**2 + 2*f - 7. Give z(d).
8
Let k(v) be the third derivative of -v**6/120 - v**5/12 - 5*v**4/24 + v**3/3 - 69*v**2. What is k(-4)?
6
Let v(y) = -26*y + 5. Let q be -9 - -2*88/16. Determine v(q).
-47
Let j(r) = r**3 - 10*r**2 + 13*r - 2. Let o(t) = 5*t - 41. Let n be o(10). What is j(n)?
34
Let d(g) = -25*g - 1 + 1 + 1. Let c be -2*(-2)/(-8)*-12 - (4 + 1). Calculate d(c).
-24
Suppose 5 = 2*i + 3. Let l(j) be the first derivative of -1/4*j**4 - 4/3*j**3 - 3/2*j**2 + i - j. Give l(-2).
-3
Let q(t) = 7*t**3 - 13*t**2 + 9*t - 3. Let p(r) = 1 - 191*r - 5*r**3 + 181*r + 3 + 13*r**2. Let l(s) = 3*p(s) + 2*q(s). Calculate l(12).
6
Let n be 4*1*(-6 + 5). Let m(q) = 2*q - 7. Let k be m(4). Let l(b) = b**3 + 2 + 4*b**2 + 2 + k + 3*b. Determine l(n).
-7
Let z(i) = i**2 - 2*i - 2. Let u(k) = -2*k**3 + 10*k**2 + 12*k. Let s be u(6). Give z(s).
-2
Let t(y) = -3*y + 1. Let r(w) = 6*w**2 - 12*w + 5. Let h(o) = -r(o) + 4*t(o). Determine h(2).
-25
Let b(q) be the second derivative of -q**3/6 + q**2 - 3*q. Let s be b(-2). Let h(g) = -9*g - 5. Let l(f) = -4*f - 2. Let y(a) = -3*h(a) + 7*l(a). Give y(s).
-3
Suppose 3*x - 4 - 32 = 0. Let w be ((-4)/10)/(x/(-30)). Let c(k) = k**2 - 5*k + 2. Let s(m) = -m - 1. Let q(p) = w*s(p) - c(p). Give q(2).
1
Let h(t) = -t**3 + 7*t**2 - 2*t + 10. Suppose -4*l - 3*d + 1 = 0, 3*l + 2*d - 1 = -0*d. Let s be ((l - -1) + -23)/(-3). Calculate h(s).
-4
Let f(o) be the first derivative of o**7/840 - o**6/72 + o**5/60 + o**4/12 + 5*o**3/3 - 8. Let n(t) be the third derivative of f(t). What is n(3)?
-10
Let n = -380 - -388. Let r(l) = 5*l + 1. Let v(f) = f + 1. Let w(t) = r(t) - 4*v(t). Determine w(n).
5
Let h = -50 - -62. Let p(v) = v**2 - 11*v - 8. Let a be p(h). Let s(y) = -y**3 + 6*y**2 - 5*y - 4. Give s(a).
8
Let m(n) be the second derivative of n**5/20 + 5*n**4/12 + n**3/3 + 25*n + 1. Suppose 6 = -2*d + j, -2*d + 4*d + 2*j + 6 = 0. Determine m(d).
12
Let s(o) = 5*o**2 - 11*o - 28. Let i be s(4). Let v(g) = 5*g - 35. Determine v(i).
5
Let c(p) = 3*p - 1. Let o(j) = j - 18. Let w be ((-54)/45)/((-4)/50). Let v be o(w). Determine c(v).
-10
Let w(n) = -6*n**3 - 2*n**2 - 2*n - 1. Let k(u) = -5*u**3 - 2*u**2 - 2*u - 1. Let s be (-88)/(-14) + (-2)/7. Let f(j) = s*k(j) - 7*w(j). Give f(-1).
-11
Let c(n) = -5*n**3 - n**2 + 1. Let z be c(1). Let w be (-5)/5 - ((-2)/2 - 4). Let a(o) = 158 + w*o - o + o**2 - 160. What is a(z)?
8
Suppose 5*l - 15 = -0*l. Suppose w - 2*i - l = i, -w - 3*i = 15. Let q = -2 - w. Let v(j) = -j**3 + 6*j**2 - 5*j - 1. Calculate v(q).
11
Let v(f) = -f**2 - 9*f - 3. Suppose 457*n = 451*n - 60. Determine v(n).
-13
Let a(l) = -l**3 + 6*l**2 + 8*l - 2. Let f be -4*2/4 - (-3 - 2). Let s be 21 + 1 - 0/(-1). Suppose 0 = f*x - s + 1. Determine a(x).
5
Suppose 48*d + 51 = | {
"pile_set_name": "DM Mathematics"
} |
tween 2:40 PM and 5:36 PM?
176
What is 139 minutes before 3:24 AM?
1:05 AM
How many minutes are there between 3:31 PM and 8:59 PM?
328
How many minutes are there between 6:17 PM and 5:09 AM?
652
How many minutes are there between 8:51 PM and 4:24 AM?
453
What is 664 minutes after 11:39 PM?
10:43 AM
What is 51 minutes after 5:23 AM?
6:14 AM
How many minutes are there between 9:13 AM and 6:12 PM?
539
How many minutes are there between 12:09 PM and 1:41 PM?
92
What is 535 minutes before 9:05 AM?
12:10 AM
How many minutes are there between 7:01 AM and 7:39 AM?
38
What is 121 minutes after 1:08 AM?
3:09 AM
How many minutes are there between 1:25 PM and 12:26 AM?
661
How many minutes are there between 11:42 AM and 8:05 PM?
503
What is 126 minutes after 4:36 PM?
6:42 PM
What is 110 minutes before 11:36 AM?
9:46 AM
What is 582 minutes after 4:23 PM?
2:05 AM
How many minutes are there between 4:01 AM and 5:12 AM?
71
How many minutes are there between 1:50 PM and 3:56 PM?
126
How many minutes are there between 5:04 PM and 6:55 PM?
111
How many minutes are there between 9:34 PM and 4:08 AM?
394
How many minutes are there between 10:48 AM and 10:37 PM?
709
How many minutes are there between 6:13 PM and 8:29 PM?
136
What is 320 minutes after 8:22 AM?
1:42 PM
What is 607 minutes after 2:30 AM?
12:37 PM
What is 309 minutes before 1:52 AM?
8:43 PM
What is 525 minutes after 12:43 AM?
9:28 AM
What is 385 minutes after 7:11 PM?
1:36 AM
How many minutes are there between 8:09 AM and 1:36 PM?
327
What is 318 minutes after 4:36 PM?
9:54 PM
What is 27 minutes after 9:40 PM?
10:07 PM
What is 303 minutes before 9:20 AM?
4:17 AM
How many minutes are there between 1:22 AM and 12:55 PM?
693
What is 9 minutes after 2:09 PM?
2:18 PM
What is 315 minutes after 11:51 AM?
5:06 PM
How many minutes are there between 10:34 PM and 4:28 AM?
354
What is 90 minutes before 11:24 PM?
9:54 PM
How many minutes are there between 3:07 PM and 12:58 AM?
591
What is 669 minutes before 2:05 AM?
2:56 PM
What is 408 minutes before 11:14 AM?
4:26 AM
How many minutes are there between 11:53 PM and 11:02 AM?
669
How many minutes are there between 12:44 AM and 2:31 AM?
107
What is 142 minutes before 10:10 AM?
7:48 AM
What is 121 minutes after 5:16 AM?
7:17 AM
What is 202 minutes after 8:29 AM?
11:51 AM
What is 53 minutes after 7:44 PM?
8:37 PM
What is 194 minutes after 6:50 PM?
10:04 PM
How many minutes are there between 3:32 AM and 6:11 AM?
159
How many minutes are there between 3:12 PM and 1:32 AM?
620
How many minutes are there between 7:01 PM and 6:20 AM?
679
What is 44 minutes before 3:03 AM?
2:19 AM
How many minutes are there between 4:50 AM and 4:20 PM?
690
What is 101 minutes before 1:12 AM?
11:31 PM
What is 473 minutes after 9:45 PM?
5:38 AM
What is 332 minutes after 3:47 AM?
9:19 AM
How many minutes are there between 12:37 PM and 2:20 PM?
103
What is 91 minutes before 1:18 PM?
11:47 AM
How many minutes are there between 6:37 AM and 10:48 AM?
251
What is 503 minutes before 11:52 PM?
3:29 PM
What is 557 minutes after 6:14 PM?
3:31 AM
What is 690 minutes before 10:02 PM?
10:32 AM
What is 679 minutes after 7:47 AM?
7:06 PM
What is 470 minutes before 10:10 PM?
2:20 PM
What is 556 minutes after 7:46 PM?
5:02 AM
How many minutes are there between 3:34 PM and 7:38 PM?
244
What is 503 minutes before 9:10 PM?
12:47 PM
How many minutes are there between 2:47 AM and 10:33 AM?
466
How many minutes are there between 9:51 PM and 12:01 AM?
130
What is 353 minutes after 11:28 PM?
5:21 AM
What is 564 minutes after 2:01 AM?
11:25 AM
How many minutes are there between 8:57 PM and 9:37 PM?
40
What is 507 minutes before 10:23 PM?
1:56 PM
What is 482 minutes before 2:00 PM?
5:58 AM
How many minutes are there between 9:25 PM and 3:53 AM?
388
How many minutes are there between 5:42 AM and 5:37 PM?
715
What is 328 minutes after 12:28 AM?
5:56 AM
What is 429 minutes after 11:03 PM?
6:12 AM
How many minutes are there between 4:07 AM and 6:08 AM?
121
What is 111 minutes before 10:52 AM?
9:01 AM
What is 253 minutes after 9:32 AM?
1:45 PM
How many minutes are there between 5:56 PM and 2:18 AM?
502
What is 286 minutes before 4:16 PM?
11:30 AM
How many minutes are there between 11:51 AM and 1:42 PM?
111
How many minutes are there between 8:31 PM and 7:26 AM?
655
How many minutes are there between 12:17 PM and 9:02 PM?
525
How many minutes are there between 6:04 PM and 1:05 AM?
421
How many minutes are there between 12:06 AM and 5:47 AM?
341
How many minutes are there between 9:08 PM and 6:21 AM?
553
How many minutes are there between 6:28 PM and 4:10 AM?
582
What is 592 minutes before 6:01 PM?
8:09 AM
What is 266 minutes after 4:37 PM?
9:03 PM
What is 355 minutes after 10:01 PM?
3:56 AM
What is 90 minutes before 4:50 PM?
3:20 PM
What is 304 minutes before 2:04 PM?
9:00 AM
What is 132 minutes after 12:08 PM?
2:20 PM
What is 628 minutes after 6:37 AM?
5:05 PM
How many minutes are there between 2:35 AM and 9:25 AM?
410
How many minutes are there between 9:43 PM and 2:41 AM?
298
What is 293 minutes before 3:30 AM?
10:37 PM
How many minutes are there between 12:26 AM and 10:13 AM?
587
What is 647 minutes after 4:47 PM?
3:34 AM
How many minutes are there between 6:39 PM and 8:16 PM?
97
What is 528 minutes after 6:51 PM?
3:39 AM
What is 345 minutes before 4:17 AM?
10:32 PM
How many minutes are there between 1:46 AM and 5:37 AM?
231
What is 405 minutes after 9:54 PM?
4:39 AM
What is 679 minutes after 6:52 PM?
6:11 AM
How many minutes are there between 12:13 AM and 5:22 AM?
309
How many minutes are there between 11:00 PM and 1:34 AM?
154
What is 9 minutes before 2:40 PM?
2:31 PM
What is 35 minutes after 12:36 AM?
1:11 AM
How many minutes are there between 11:02 PM and 10:44 AM?
702
What is 344 minutes before 9:33 AM?
3:49 AM
How many minutes are there between 6:19 AM and 7:08 AM?
49
How many minutes are there between 1:41 AM and 5:56 AM?
255
What is 480 minutes before 12:31 AM?
4:31 PM
What is 176 minutes before 4:34 AM?
1:38 AM
How many minutes are there between 9:07 PM and 7:18 AM?
611
What is 558 minutes before 3:55 PM?
6:37 AM
What is 628 minutes after 8:19 AM?
6:47 PM
How many minutes are there between 1:58 PM and 3:29 PM?
91
How many minutes are there between 8:00 AM and 5:06 PM?
546
What is 386 minutes after 5:58 AM?
12:24 PM
How many minutes are there between 1:00 AM and 7:45 AM?
405
How many minutes are there between 7:48 PM and 10:16 PM?
148
What is 508 minutes before 5:29 PM?
9:01 AM
How many minutes are there between 10:14 AM and 1:43 PM?
209
What is 12 minutes before 8:29 PM?
8:17 PM
How many minutes are there between 7:00 AM and 10:51 AM?
231
What is 103 minutes after 1:31 PM?
3:14 PM
What is 6 minutes before 1:21 PM?
1:15 PM
What is 463 minutes before 7:57 PM?
12:14 PM
What is 103 minutes after 4:18 AM?
6:01 AM
How many minutes are there between 4:50 PM and 1:14 AM?
504
How many minutes are there between 11:03 PM and 8:33 AM?
570
How many minutes are there between 3:56 AM and 1:45 PM?
589
How many minutes are there between 5:40 PM and 6:43 PM?
63
How many minutes are there between 10:39 PM and 11:29 PM?
50
How many minutes are there between 11:14 PM and 1:49 AM?
155
What is 679 minutes before 5:01 AM?
5:42 PM
How many minutes are there between 11:45 AM and 11:02 PM?
677
How many minutes are there between 7:48 PM and 4:10 AM?
502
How many minutes are there between 4:56 AM and 9:58 AM?
302
What is 467 minutes after 6:54 AM?
2:41 PM
How many minutes are there between 12:51 PM and 1:00 PM?
9
How many minutes are there between 4:22 PM and 7:44 PM?
202
What is 535 minutes after 12:56 PM?
9:51 PM
What is 405 minutes before 9:36 PM?
2:51 PM
What is 98 minutes before 1:36 AM?
11:58 PM
How many minutes are there between 3:06 AM and 9:40 AM?
394
How many minutes are there between 9:55 AM and 7:08 PM?
553
How many minutes are there between 1:51 AM and 8:36 AM?
405
How many minutes are there between 7:30 AM and 7:07 PM?
697
How many minutes are there between 3:46 PM and 5:24 PM?
98
What is 62 minutes after 11:01 AM?
12:03 PM
How many minutes are there between 10:37 PM and 6:45 AM?
488
How many minutes are there between 2:16 AM and 9:10 AM?
414
What is 44 minutes before 2:12 PM?
1:28 PM
How many minutes are there between 9:1 | {
"pile_set_name": "DM Mathematics"
} |
(a) -1 (b) 2/7 (c) o
c
Let u = 0.45 - 0.05. Let t = 635 - 634.756. Let d = t - 0.244. What is the nearest to d in 1/3, u, -0.1?
-0.1
Let w be (-176)/(-924)*((-36)/(-8))/(-3). Which is the closest to -2/171? (a) w (b) 5 (c) -4 (d) 0.4
a
Suppose -155 + 155 = 226*y. What is the closest to 5/2 in 18, 3/7, y, -2/5?
3/7
Let r = -0.1 + 0.2. Let k = 243 + -243.1. Let w = r - k. What is the closest to 2 in w, -2, -2/3?
w
Let w = -1035.4 - -1035. What is the nearest to 3/5 in w, -89, -1/5?
-1/5
Let t = -41053/85 - -483. Let x = 36/85 - t. Let s = 9 + -5. Which is the nearest to x? (a) -5/7 (b) 0 (c) s
b
Let s be 3/(-108) - (-1)/4. Let n = 1.007 - 0.007. Let l = -23 + 23.5. Which is the closest to s? (a) n (b) l (c) 1/5
c
Let p = 931 + 11.5. Let x = p - 942. Let t = -0.4 + 0.3. Which is the closest to 0? (a) t (b) -5 (c) x
a
Let p = -11 - -10. Let w = 5 + p. Let r be -1 + 3 + 240/(-100). Which is the nearest to r? (a) -0.4 (b) 0 (c) w
a
Suppose -4*p = -8*p - 20. Let x = -0.572 + -6.428. Which is the closest to -1? (a) -0.3 (b) p (c) 1 (d) x
a
Let y be 2/7*17/4. Let g = y + -5/7. Let s = -963 - -966. What is the nearest to 1 in g, 4, s?
g
Let j = 1.1 - 0.1. Let z = 2 - j. Let k be -3*4*(3 + (-125)/45)/(-4). What is the closest to z in -2/5, 0.1, k?
k
Let z = -123/29 + 398/87. Which is the closest to -3/13? (a) 0.6 (b) -2/9 (c) -0.3 (d) z
b
Let t = 5.239 - 5.128. Which is the closest to 8? (a) t (b) -2/15 (c) -2
a
Suppose 377*x + 24 = 375*x. Let d be 39/x - -3 - (-26)/40. Let g = -0.42 + 0.52. What is the closest to 2/3 in -0.3, g, d?
d
Let p be (22 - (-168)/12)/((-6)/40). What is the closest to p in 1/6, 2/3, 1, 0.2?
1/6
Let p be (-4 + 2)*6/44*16/96. Which is the nearest to -5? (a) -0.13 (b) -0.3 (c) -1 (d) p
c
Suppose -173 = -35*i - 138. Let v = -1 - -4. Which is the closest to i? (a) v (b) 6 (c) -5
a
Let y = -15.07 - -15. Let r = 593 - 531.3. Let h = r - 61.6. What is the nearest to h in y, -1, -1/2?
y
Suppose 5*u = 61 - 31. Let t be u/(-15) + (-13)/5. Suppose n + 2 = 6. Which is the closest to -1? (a) t (b) n (c) 0
c
Let g = -23507/6 + 3918. Which is the nearest to 2/13? (a) g (b) 6/5 (c) 1/5 (d) 34
a
Let k = 7 + -3. Let j = 15686.6 + -15686.6. What is the closest to j in -2/7, k, 6, -0.3?
-2/7
Let y = -68.619 - -68.61. Which is the nearest to -1? (a) -0.4 (b) y (c) 0.5 (d) 5
a
Suppose 5*p = -5*q + 135, 4*p - 118 + 7 = -3*q. What is the closest to 0 in p, -1/4, -0.01, -5?
-0.01
Let l be ((-4410)/1029)/((-3)/7). Which is the closest to 2? (a) l (b) -0.1 (c) 4/3 (d) 0.5
c
Let m(t) = -t**2 - 2*t - 1. Let j be m(-2). Let v = -13052/77 - -1863/11. What is the closest to j in v, 3, 2/7?
v
Suppose -1 = 2*v - 11. Suppose 10*f - v*p + 25 = 9*f, 0 = -4*f + 5*p - 25. Which is the nearest to f? (a) 1/5 (b) 1/2 (c) 0.71
a
Let c = 1025 + -1031.9. Let t = -6 - 0.8. Let q = c - t. What is the nearest to 1 in -5, 4, q?
q
Suppose -2*p - 19 = -29 + 12. Which is the closest to p? (a) -6 (b) -15 (c) 6/5
c
Let w = 43355/3 - 14451. Which is the closest to w? (a) -1 (b) 1/3 (c) 2 (d) 8
b
Let n = -7.917 - -7.817. What is the nearest to -0.1 in 173, n, -2/13?
n
Let v be 1/2*(-31 + 49). Let s be (-4)/(-18) - (-2 + (11 - v)). What is the nearest to 2/7 in s, -13, 0.5?
s
Let d = -0.3 + 0.4. Let a be (-1)/(2*14/4 - 2475/450). What is the closest to -1 in a, -41, -0.4, d?
a
Let j = 115 + -457/4. Let o be -2 + 266 - 6/(-4)*-2. Let l = o + -1303/5. What is the closest to -2 in l, j, -9?
l
Let q = -1.34 + -2.66. Let d = -2/395 - 784/1185. What is the nearest to d in q, 0.5, 0.2?
0.2
Let r = -1426/5 + 1428/5. Which is the closest to -31? (a) -17 (b) r (c) -4/7
a
Let k = -2979.5 - -2979. Which is the closest to 0? (a) k (b) -1/65 (c) -0.03
b
Let y = 78.837 + 0.163. Let h = -72 + y. Let u be (-24)/56*2/9. Which is the nearest to h? (a) -4 (b) u (c) 0
c
Let c = 0.2 + -0.3. Let p = 1530.6 + -855.3. Let z = p + -675. What is the nearest to c in z, 4, 1?
z
Let m = -63.3 - -65. Let o = -2 + m. Let t = -38 - -43. Which is the nearest to 0.6? (a) 2/15 (b) t (c) o
a
Let d = 30871/3 - 10290. Let k = 10392 + -363614/35. Let g = -24/7 + k. What is the nearest to d in 1, g, -1/5?
-1/5
Suppose -73 = -2*q - 2*q + 3*p, 0 = 3*q + 2*p - 42. Suppose -f - 8 = -2*d - 5, 4*f = d + q. Which is the nearest to -17? (a) 3 (b) d (c) -0.1
c
Let z = -0.899 + 1.089. Which is the nearest to 2/15? (a) 4 (b) z (c) 0.2 (d) -2/11
b
Let f = -0.0815 - -0.1815. Let d be ((-4)/(-6))/(32/(-24)). What is the nearest to f in -2/79, d, 0.3?
-2/79
Let i = -663 + 663.168. Which is the closest to -0.1? (a) 4 (b) 2 (c) i
c
Let c = -184.44 + 186.44. What is the closest to 76/3 in -0.1, -0.3, 2/15, c?
c
Let y = 34.9 + -39.61. Let j = y + 5.71. Which is the nearest to 3? (a) j (b) 4 (c) -63
b
Let z = -219 + 219.0551. Let w = -0.1551 + z. What is the closest to -9 in -2, w, 4?
-2
Suppose 0 = 3*m - 4*m. Let x = -1/3 + m. Let l = 319 + -3511/11. Which is the nearest to x? (a) -5 (b) 2/19 (c) l
c
Let l = 78.81 + -79.01. What is the closest to -2/9 in l, -6/13, -3?
l
Let j(v) = v + 10. Let q be j(-5). Suppose -u - 2*p - 9 = 0, 2*p + 1 + 14 = q*u. Suppose 10*g - 9*g = u. Which is the closest to g? (a) 1 (b) 0.2 (c) -2
a
Let z = 4 - 19/5. Let r be (8 - 3) + -6 + 10/15. Suppose -4*q - i = 5 - 6, -q - 5*i + 24 = 0. Which is the nearest to r? (a) q (b) 2/5 (c) z
c
Let n = 34174 - 34173.93. Let q be 2 + 1 + 23/(-6). What is the closest to 1 in n, q, 0?
n
Let u = -16631 + 16631.1. What is the nearest to -0.15 in -2/23, 0.4, u, 221?
-2/23
Let f = -0.2631 + -0.2369. Which is the nearest to -16.1? (a) 3 (b) f (c) 4
b
Let z = -3833 - -3842. Which is the closest to -1? (a) -3 (b) 3/7 (c) z (d) -4/5
d
Suppose 3*m - 5*y = -3739 + 3724, 5*m = -2*y + 6. Which is the nearest to m? (a) 3 (b) 7 (c) 0.3 (d) -2
c
Let n = 38530/7 - 5504. Which is the closest to n? (a) -0.1 (b) 21/8 (c) -4
a
Let w be (2 - -4)*5/25. Let n be (3/(-14))/((-3)/6). Let m be 1*((-5)/25*4)/(-2). What is the closest to w in -0.2, n, m?
n
Let r = -238 - -236. Suppose 3*w = -5*m + 21, -2*w + 3*m - 15 = -5*w. Let h be w/(-8) + 63/28. Which is the closest to 1? (a) r (b) -0.2 (c) h
c
Let f = 16363 + -16371. Which is the nearest to -0.1? (a) 1/5 (b) f (c) -3/5 (d) -39
a
Let m be (16/(-66))/(2768/(-7612)). Let o be 5/(1 + 1 - 1). Which is the closest to 0? (a) m (b) 2/15 (c) o (d) 0.05
d
Let l = 7.17255 + -0.17255. Which is the nearest to -1/4? (a) -5/6 (b) l (c) -1/92
c
Let m be (1 - (-93)/(-35))/((-26)/(-130)). Let n = m + 276/35. Which is the closest to 3? (a) -4 (b) -2 (c) n
c
Let h(w) = 69*w + 1798. Let n be h(-26). Which is the nearest to -0.3? (a) -0.5 (b) n (c) -0.007 (d) -6
a
Let n = -4.03 - 0.97. Let o = -0.0189 + -0.0411. What is the nearest to -0.1 in -4, o, n?
o
Let t = -115621 - -115628. Let z = -0.4 + 0.3. What is the nearest to z in 0.3, t, -2?
0.3
Suppose -p + 9 = 3*w, 29*w - 24*w - 2*p + 7 = 0. Which is the nearest to -1/3? (a) w (b) 4 (c) -28
a
Suppose 66*y - 36*y = -60. What is the closest to -0.1 in 1/3, -42, y, 0.14?
0.14
Let t be 22/(-88)*16/36*3. What is the nearest to t in 0, 3, -247?
0
Let p(i) = i**2 - 43*i - 187. Let t be p(47). What is the nearest to 1 in t, -0.3, 1/4, -2/5?
t
Suppose 0 = 355*s + 859 + 561. Let b = -1 + 1. What is the nearest to b in -54, 0.5, s?
0.5
Let f = -75 - -76.06. Let q = -0.94 - f. Which is the nearest to 5? (a) 0 (b) q (c) -1/4
a
Let s = 0.145 + 0.855. Let x = -65.4 + 58. Let g = 7.5 + x. What is the closest to 7 in g, 3, s?
3
Let j(g) = -8*g**2 + 1. Let o be j(-1). Let k = 3456 + -3454. Let y be k/7 - (47/o + 5). Which is the closest to 2? (a) -0.5 (b) 0 (c) y
c
Let w = 7/32 + -149/96. Let c = -36.8 + 67.1. Let h = c + -30.7. What is the closest to w in 2, -0.3, h?
h
Let h be -12 + 6 + 0 + -2 + 4. Let d be ((-21)/126)/(0 - (-2)/h). What is the nearest to -0.4 in d, -5, 1/11?
1/11
Suppose -4*t + 17 = -n - 4, n - 6 = -5*t. Let k be 8/20*n/(-6). Let m = -4408/15 - -294. What is the nearest to -1 in -1/3, m, k?
-1/3
Let v(w) = -w**2 - 2*w - 7. Let r be v(-3). Let s be 2 - 3*r/(-21). Let o = s - 0. What is the closest to 0 in -3, -0.2, o?
-0.2
Let k = 14.41 - 10.41. Let r = 95 + -289/3. Which is the n | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 1 l and 1 o when two letters picked without replacement from lol?
2/3
Two letters picked without replacement from vvfvfvuu. What is prob of picking 2 u?
1/28
Calculate prob of picking 1 y and 2 i when three letters picked without replacement from {y: 2, i: 2}.
1/2
Two letters picked without replacement from {g: 1, y: 3, e: 5, p: 2, s: 8}. What is prob of picking 1 e and 1 g?
5/171
Three letters picked without replacement from {i: 11, c: 3}. What is prob of picking 2 c and 1 i?
33/364
Calculate prob of picking 4 t when four letters picked without replacement from {t: 11, f: 9}.
22/323
Calculate prob of picking 3 f and 1 t when four letters picked without replacement from ftfhftiftttfztqqfqft.
49/969
Calculate prob of picking 2 w and 1 c when three letters picked without replacement from hmchwhhmcmccchwhmh.
5/816
What is prob of picking 2 w when two letters picked without replacement from {l: 3, h: 2, w: 2, o: 1, z: 6, r: 4}?
1/153
Two letters picked without replacement from {t: 1, i: 3, w: 4, c: 1, r: 1, m: 4}. Give prob of picking 1 i and 1 t.
3/91
Calculate prob of picking 1 s, 1 b, and 1 p when three letters picked without replacement from wbpbawpwbpswwb.
3/91
What is prob of picking 1 m and 1 a when two letters picked without replacement from awpms?
1/10
Two letters picked without replacement from {n: 1, o: 4, g: 1, d: 4, x: 2, j: 6}. Give prob of picking 2 d.
2/51
Calculate prob of picking 2 c when two letters picked without replacement from {c: 10}.
1
Calculate prob of picking 1 g and 2 p when three letters picked without replacement from gggpipp.
9/35
Three letters picked without replacement from dwhwttfhwmdwdwhwdh. Give prob of picking 1 t, 1 w, and 1 f.
1/68
Calculate prob of picking 1 n, 1 h, and 1 q when three letters picked without replacement from hqccqnqqqheni.
10/143
Two letters picked without replacement from {z: 1, q: 2, j: 4, p: 3}. Give prob of picking 1 j and 1 p.
4/15
Three letters picked without replacement from bbqqbqqbqqq. What is prob of picking 1 q and 2 b?
14/55
Two letters picked without replacement from {o: 1, h: 5, m: 3}. Give prob of picking 1 h and 1 o.
5/36
Three letters picked without replacement from ceiicieccieic. What is prob of picking 1 i and 2 c?
25/143
What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 2, w: 1, q: 4, n: 1, z: 1}?
2/9
Three letters picked without replacement from {a: 2, r: 1, y: 5, u: 1, b: 7}. What is prob of picking 2 b and 1 r?
3/80
What is prob of picking 1 w and 1 l when two letters picked without replacement from wfosswswwlwslksswow?
14/171
What is prob of picking 3 g when three letters picked without replacement from gggglegxgllx?
1/11
What is prob of picking 1 i and 1 e when two letters picked without replacement from liwttellwltl?
1/66
Calculate prob of picking 1 o and 1 c when two letters picked without replacement from coossccocv.
4/15
Two letters picked without replacement from gyggyggygggygggggg. What is prob of picking 2 g?
91/153
What is prob of picking 1 r and 2 i when three letters picked without replacement from biribriwiw?
1/10
What is prob of picking 1 o and 1 k when two letters picked without replacement from {b: 2, v: 4, k: 3, m: 1, o: 1, u: 1}?
1/22
What is prob of picking 1 o and 2 t when three letters picked without replacement from xttttxttxxo?
1/11
Four letters picked without replacement from znnjkzkzvwvwkz. Give prob of picking 1 z, 1 w, 1 v, and 1 j.
16/1001
Two letters picked without replacement from vvssvvsvsv. What is prob of picking 2 v?
1/3
Two letters picked without replacement from {g: 2, h: 4, c: 3, d: 2, b: 1}. Give prob of picking 1 b and 1 d.
1/33
Four letters picked without replacement from lttvlsrvlslt. What is prob of picking 2 s and 2 t?
1/165
What is prob of picking 1 n and 1 w when two letters picked without replacement from {b: 1, n: 1, i: 1, p: 6, w: 5}?
5/91
Calculate prob of picking 2 o, 1 r, and 1 f when four letters picked without replacement from {o: 3, q: 6, f: 4, r: 1, j: 1, i: 1}.
3/455
Four letters picked without replacement from ehee. What is prob of picking 4 e?
0
Two letters picked without replacement from {q: 1, j: 4, n: 2, c: 2}. Give prob of picking 1 j and 1 c.
2/9
Three letters picked without replacement from ttzfbfyzytyfzyybff. What is prob of picking 1 t and 2 y?
5/136
Three letters picked without replacement from {z: 4, t: 12, g: 4}. What is prob of picking 2 z and 1 g?
2/95
What is prob of picking 2 v and 2 k when four letters picked without replacement from {n: 5, k: 2, v: 2}?
1/126
Three letters picked without replacement from {g: 2, t: 1, o: 1, s: 3, b: 4}. Give prob of picking 1 g, 1 o, and 1 b.
8/165
Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {y: 8, h: 2, o: 2}.
8/33
Calculate prob of picking 3 b when three letters picked without replacement from {b: 4, o: 1, u: 5}.
1/30
Two letters picked without replacement from {t: 2, l: 2, z: 2, u: 4, f: 3, m: 2}. Give prob of picking 2 t.
1/105
Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {h: 16, p: 2}.
32/153
Two letters picked without replacement from {m: 2, b: 9, g: 3, j: 3}. What is prob of picking 1 b and 1 g?
27/136
Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {l: 3, j: 1, s: 2, h: 3, o: 1, u: 5}.
1/21
What is prob of picking 2 t when two letters picked without replacement from {v: 1, h: 7, w: 2, t: 3, r: 1}?
3/91
Four letters picked without replacement from {m: 4, y: 4, z: 11}. Give prob of picking 4 y.
1/3876
Three letters picked without replacement from {n: 12, p: 3}. Give prob of picking 2 n and 1 p.
198/455
Two letters picked without replacement from gtg. Give prob of picking 1 g and 1 t.
2/3
Calculate prob of picking 1 p, 1 d, and 1 n when three letters picked without replacement from npeppdeehehpdw.
2/91
Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {n: 1, z: 1, i: 5, u: 3, x: 1, a: 1}.
1/66
Three letters picked without replacement from kssjsossvsvsessess. Give prob of picking 1 o and 2 e.
1/816
What is prob of picking 2 q when two letters picked without replacement from {q: 2, t: 10}?
1/66
Calculate prob of picking 2 h and 1 a when three letters picked without replacement from {a: 1, w: 2, n: 1, h: 2}.
1/20
Three letters picked without replacement from lvllavnllllvvlallall. What is prob of picking 1 n and 2 a?
1/380
Three letters picked without replacement from {z: 6, m: 3, w: 1, g: 1, t: 3}. Give prob of picking 1 m, 1 t, and 1 z.
27/182
Two letters picked without replacement from altae. Give prob of picking 1 a and 1 e.
1/5
What is prob of picking 1 k and 2 m when three letters picked without replacement from {a: 2, m: 2, b: 1, p: 2, k: 1}?
1/56
Four letters picked without replacement from {p: 8, n: 3}. Give prob of picking 3 p and 1 n.
28/55
Calculate prob of picking 2 a and 2 l when four letters picked without replacement from azlaazaacaalafaclc.
3/85
Calculate prob of picking 2 s when two letters picked without replacement from {q: 1, s: 2, t: 1, u: 2, d: 5, m: 6}.
1/136
Calculate prob of picking 1 z and 2 g when three letters picked without replacement from pgpppgzgpttp.
3/220
Calculate prob of picking 2 i when two letters picked without replacement from xixxxiixix.
2/15
Three letters picked without replacement from {y: 5, a: 2}. Give prob of picking 1 a and 2 y.
4/7
Three letters picked without replacement from tuauoasututauuhtuuhs. Give prob of picking 2 h and 1 u.
2/285
Calculate prob of picking 1 p, 1 q, and 1 f when three letters picked without replacement from qqqqqpfqfffffqffff.
35/408
Three letters picked without replacement from {o: 1, k: 2, b: 2, i: 9, z: 3}. Give prob of picking 1 k, 1 z, and 1 o.
3/340
What is prob of picking 2 e and 1 b when three letters picked without replacement from ebeerbxaerarabxeeb?
5/68
Four letters picked without replacement from {l: 1, i: 2, b: 2}. What is prob of picking 1 l, 2 b, and 1 i?
2/5
Calculate prob of picking 1 x, 2 e, and 1 o when four letters picked without replacement from {x: 4, o: 1, e: 2}.
4/35
Four letters picked without replacement from aaaaaaaaaaaccaaaca. What is prob of pick | {
"pile_set_name": "DM Mathematics"
} |
z = 26 + -20. Let w = 3 + -1. Suppose -w*v + z*v = 28. What are the prime factors of v?
7
Let b(x) = -x**2 - 10*x - 7. Suppose -1 = -2*t - 11. Let y be b(t). What are the prime factors of y/4*(-3 + 5)?
3
Let g be (-234)/(-30) + 2/10. Suppose 4*r + g = 4*k, 2*k - 2 = k. Suppose r = 5*w - 37 - 28. List the prime factors of w.
13
Let t = 2 - 1. Suppose -2*g - u + 9 = 0, 0 = u - 0*u - t. What are the prime factors of g?
2
Let h(w) be the second derivative of w**4/12 - 2*w**3/3 + w**2 + 2*w. Let p be h(4). Suppose -n + p = -2. What are the prime factors of n?
2
Suppose 0 = -3*g + 8 - 2. Suppose h - g*h + 13 = 0. What are the prime factors of h?
13
Suppose 4*s - 7 = 3*j, s + 5*j = 6*s - 15. Let b = s + 1. What are the prime factors of (-8)/(0 + b) + 0?
2
Suppose 2*j - 5*x = 72, -2*x = -2*j + 47 + 31. What are the prime factors of j?
41
Let p be (6 - 0 - 1)/1. Let f(i) = i + 5. List the prime factors of f(p).
2, 5
Suppose 4*i + i + 35 = 0. Let p(t) = -t**3 - 8*t**2 - 8*t - 10. Let q be p(i). What are the prime factors of -1*(21/q + 0)?
7
What are the prime factors of 1337/63 + 4/(-18)?
3, 7
Let s be (24/9 - 2)*9. Suppose 3*m = -5*k + 3*k, 0 = 3*m + 4*k + s. What are the prime factors of m?
2
Let j(s) = 5*s - 3. Let m = 27 + -18. List the prime factors of j(m).
2, 3, 7
Let b(j) = j + 7. Let n be b(0). Suppose -2*x - 10 = 0, -4*x + n = -2*o + 55. List the prime factors of o.
2, 7
Suppose 0 = -2*d + 5*d - 5*n - 155, 171 = 3*d + 3*n. Let r = d + -18. What are the prime factors of r?
37
Suppose -118 = -d - p, -5*d + p - 4*p = -586. List the prime factors of d.
2, 29
Let q(s) = 8*s + 27. Let t(i) = 9*i - 39. Let j(l) = -l + 5. Let b(d) = -33*j(d) - 4*t(d). Let p(r) = 11*b(r) + 4*q(r). List the prime factors of p(0).
3
Let l(n) = -n**2 - 5*n + 5. Let u be l(-5). Suppose -3*s = -3*i - u + 20, 0 = 2*i - 5*s - 10. What are the prime factors of i?
5
Let f = -9 + 14. Suppose 3*s - f*w - 55 = 33, -s + 3*w + 36 = 0. Let z = s + -12. List the prime factors of z.
3
Let d(f) = -7 + 0 - 24*f + 6. Let g be d(-1). Suppose -i + 5*z + g = 0, 0 = -5*z - 22 + 7. What are the prime factors of i?
2
Suppose d + 10 = h, -2*h + 7 = -3*d - 13. What are the prime factors of 94/h - (-14)/(-35)?
3
Let a = 81 - 1. List the prime factors of a.
2, 5
Let q(a) be the first derivative of -7/2*a**2 - 8/3*a**3 - 3 + 4*a - 1/4*a**4. List the prime factors of q(-7).
2
Let z = 23 + -10. What are the prime factors of z?
13
Let y(m) be the third derivative of -1/2*m**3 + 0 + 3/8*m**4 - 1/60*m**5 - m**2 + 0*m. What are the prime factors of y(7)?
11
Suppose -3 = -3*g + 3*m, 3*g = 3*m + 2*m + 5. Let s be 8 + 1 - (g - -3). Suppose 4*a + 43 = 3*x, -5*x + s*a + 61 = 2*a. List the prime factors of x.
3
Let j(f) = 3*f - 6. Let x(y) = 2*y - 4. Suppose -40 = -5*b - 4*d, -3*d = -7 - 8. Let l be x(b). List the prime factors of j(l).
2, 3
Let l = -8 + 18. Let q = l - 3. Suppose 3*i - 42 = -2*d, 0 = 3*d + q*i - 3*i - 61. List the prime factors of d.
3, 5
Let o(k) = -4*k - 4*k + 1 + 2*k**2 + 5 - 3*k**2. Let s be o(-8). What are the prime factors of 76/s + 4/(-6)?
2, 3
Suppose 10 = -l - 5*z, -5*l - 5*z - 4 = -54. List the prime factors of l + 1*(1 - 3).
13
Let b(i) = -i**3 - 20*i**2 - 5*i + 22. What are the prime factors of b(-20)?
2, 61
Let l be 81/(4/16*-3). List the prime factors of (-1)/(((-20)/l)/(-5)).
3
Let x = 1 + -1. Suppose x*r - 72 = -4*r. What are the prime factors of r?
2, 3
Suppose 0 = 6*n - 2*n - 2*j - 98, 3*n - 66 = 3*j. Let d = n + -2. Suppose x = -3*v + d, -5*v + 2*x + 51 = -x. List the prime factors of v.
3
Suppose 851 = -11*t + 2578. List the prime factors of t.
157
Let l(d) = d**2 + 2*d - 17. List the prime factors of l(10).
103
Let x(c) be the third derivative of -3*c**4/8 + 11*c**3/6 + 6*c**2. List the prime factors of x(-5).
2, 7
Let s = -99 + 163. List the prime factors of s.
2
Let r(z) = z + 5. Let w be r(0). Suppose -w*d - 4 - 1 = 0. What are the prime factors of (d - 0)/(4/(-28))?
7
Suppose -2*n + 3*q = q - 16, -3*n = 5*q. List the prime factors of n.
5
Suppose -12*g = -8*g - 196. List the prime factors of g.
7
Let n = -25 + 37. Let w = 19 - n. Suppose -6*t - 12 = -w*t. What are the prime factors of t?
2, 3
Suppose 3*t = 2*t + 3. Suppose 6*h + 6 = t*h. List the prime factors of ((-4)/(-6))/(h/(-30)).
2, 5
Suppose -3*q - 3*m = -m + 8, -20 = -q + 5*m. Suppose -31*b + 34*b - 48 = q. What are the prime factors of b?
2
Suppose -6 = 3*i, 13 - 1 = 4*c - 2*i. Suppose c*j - 2 = j - 2*z, 5*j - 10 = -4*z. What are the prime factors of (j/(-5))/((-1)/10)?
2
Let c(u) = -2*u - 2. Let n be c(-4). What are the prime factors of 11 - (n - -3)/3?
2
List the prime factors of 1 + -3 - (-55 + 2).
3, 17
What are the prime factors of (6 + -8 - -1)*(-184)/1?
2, 23
Suppose 6*z - 444 = -6*z. List the prime factors of z.
37
Let m(s) = -s - 7. Let g be m(-10). Let u be g/(-2)*(-4)/(-6). What are the prime factors of 1*(u + 2 + 8)?
3
Let o(c) be the second derivative of c**4/12 + 2*c**2 - 41*c. Let b(t) = -t**3 - 5*t**2 + t + 2. Let a be b(-5). List the prime factors of o(a).
13
Let s(u) = 3*u**2 - 2*u + 2. Let r be s(2). Suppose 5*d = -3*n + 14, -d = -4*n + 24 + r. Suppose 2*f - n = f. List the prime factors of f.
2
Suppose -v + 224 = -5*v. Let z = -39 - v. List the prime factors of z.
17
Suppose 0 = 2*c + h - 3*h - 12, h - 4 = -4*c. Suppose -f + 0 = -c. List the prime factors of (3/f)/((-9)/(-24)).
2
Let s(k) = -k**3 - 15*k**2 - 4*k + 11. List the prime factors of s(-15).
71
Suppose 0 = -11*j + 7*j + 20. Let l(h) = -h + 9. Let k be l(5). Suppose k*d + 3*a + 8 - 71 = 0, -j*a = -4*d + 23. List the prime factors of d.
2, 3
Let d = 24 - -10. List the prime factors of d.
2, 17
Let x = 69 + -24. Let t = x - 24. What are the prime factors of t?
3, 7
Let g = 178 + -105. List the prime factors of g.
73
Let u(l) = 22*l**2 - 5*l + 3. List the prime factors of u(4).
5, 67
Let z(l) = 149*l - 2. What are the prime factors of z(1)?
3, 7
Let n(c) = 5*c**2 + 2*c - 1. Let k = -10 + 14. Let g be n(k). What are the prime factors of g/9 - (-2)/(-3)?
3
Let f be -14*3/(1*6). Let d(g) = g**3 + 8*g**2 + 7*g - 2. Let q be d(f). Let o = 4 + q. List the prime factors of o.
2
Suppose -h + 9 = 22. Let m = h - -22. Suppose -4*f - 35 = -m*f. What are the prime factors of f?
7
Let t = 27 + -2. What are the prime factors of t?
5
Let x(p) = p**2 + p - 5. Let s be x(4). Suppose s = 4*u + 3. Suppose 6 = 5*a + 2*k, -14 + 6 = -a + u*k. What are the prime factors of a?
2
Let u(y) = -y + 2. Let i be u(1). Let a(n) = 10*n + 1. List the prime factors of a(i).
11
Suppose -5*l + 36 = -114. List the prime factors of l.
2, 3, 5
Suppose -87 = -3*p + 150. What are the prime factors of p?
79
Let y(x) = 9*x**2 - 3*x + 25. What are the prime factors of y(-6)?
367
Suppose -5*q = -q + 12. Let p be (24/9)/((-2)/q). Suppose -p*g = g - 95. List the prime factors of g.
19
Let d(o) = -o**3 - 5*o**2 + 7*o + 8. Let g be d(-6). Suppose 13 = a - 13. Suppose -g*j = 4*c - a, c = -c + 10. List the prime factors of j.
3
Let c(n) = 20*n - 36. List the prime factors of c(9).
2, 3
Suppose -4 = -2*j + 2. Suppose j*m = -3*o - o + 67, -2*m + 39 = -3*o. List the prime factors of m.
3, 7
Let j(l) = -77*l + 13. Let z(c) = -39*c + 7. Let q(b) = -6*j(b) + 11*z(b). What are the prime factors of q(1)?
2
Let a = 79 - 27. List the prime factors of a.
2, 13
Let a = 16 - 13. Let t(h) = h**3 - h**2 + 3*h - 3. List the prime factors of t(a).
2, 3
Suppose 0*i + 1 = -2*i - 3*f, 2*f = -6. Suppose 9*j - 4*j - 15 = 0. Suppose -8 = 2*z - 3*o, -j*o + 7*o - 24 = -i*z. List the prime factors of z.
2
Let i(q) be the first derivative of q**7/840 - q**6/360 + 5*q**4/24 - q**3 + 3. Let w(o) be the third derivative of i(o). List the prime factors of w(0).
5
Let n be 2/((-1)/((-27)/(-6))). Let i = -6 - n. List the prime factors of i.
3
Let p = 24 + -29. Let f be (2*-1)/(6/(-45)). Let c = f - p. List the prime factors of c.
2, 5
Let g = 1 - -1. Suppose -4*b = 2*i - 14, 3*i - 7 = -3*b + g. List the prime factors of b.
2
What are the prime factors of 94/5 + (-2)/(-10)?
19
Let y(o) = 6*o**3 - 3*o + 2. List the prime factors of y(2).
2, 11
List the prime factors of 24/(-204) - 1568/(-34).
2, 23
Let t(k) be the first derivative of k**3/3 - 2*k - 1. Let j be t(-2). Suppose -7*d + 3*d = -5*r - 11, j*d - 2*r - 8 = | {
"pile_set_name": "DM Mathematics"
} |
+ -5)**2 + sqrt(363) - sqrt(363)) + sqrt(363) + (sqrt(363) + (sqrt(363) - sqrt(363)*1))**2 + -4 - (1 + 5 + 2 + sqrt(363)).
-132*sqrt(3) + 750
Simplify 4*(5 + (-4*(-1 + sqrt(208) - sqrt(208)) + 2*sqrt(208)*-3 + sqrt(208))**2) + 4.
-640*sqrt(13) + 20888
Simplify 4 + sqrt(252) + -1 + -3 + 0.
6*sqrt(7)
Simplify -1 + -2*(1 + (0 + sqrt(7))**2) + ((-1 + sqrt(847) - (sqrt(448) + sqrt(448) + 0 - sqrt(7) - sqrt(7)))*3)**2.
54*sqrt(7) + 559
Simplify -5*((sqrt(10) - sqrt(200)/sqrt(5) - sqrt(10))/(-1*-1*sqrt(2)) + 3).
-15 + 10*sqrt(5)
Simplify 2*((sqrt(1440)*2)/sqrt(2) + -5 + sqrt(45) + 0)**2.
-540*sqrt(5) + 7340
Simplify (2*(-5 + sqrt(684) + sqrt(684) + 1 + sqrt(684) + 4)*-2)**2.
98496
Simplify 5 + 1 + (-3*sqrt(2299)*-2)**2 + (sqrt(2299) + -1 + -1)**2.
-44*sqrt(19) + 85073
Simplify (6*1*sqrt(720)*-5)**2 - (1 + (sqrt(720) - 3*1*sqrt(720))).
24*sqrt(5) + 647999
Simplify -4 + -2*(-6*(sqrt(10) + sqrt(40)/sqrt(4)))/(sqrt(16)/sqrt(2)).
-4 + 12*sqrt(5)
Simplify ((sqrt(2401)*2 + sqrt(49) + (sqrt(1225) + sqrt(1225)*1 - sqrt(1225)))/((sqrt(56) - (sqrt(56) + (sqrt(8064)*-2 - sqrt(56)) - sqrt(56)))/sqrt(8)))**2.
700/169
Simplify ((sqrt(12) + (sqrt(84) - (sqrt(84) - -2*sqrt(84) - sqrt(84)))/sqrt(7))*1)/(sqrt(12)/(sqrt(4)/sqrt(2)) + (sqrt(864) - (sqrt(864)*-1 - sqrt(864)))).
0
Simplify ((sqrt(182) + (sqrt(182) - (sqrt(182) - (5*2*sqrt(182) - sqrt(182)))))/sqrt(7))/(sqrt(22)/(sqrt(539) + sqrt(539)*1 + sqrt(539))).
210*sqrt(13)
Simplify -6*(0 + sqrt(5) + (1 + (sqrt(10)/sqrt(2) + sqrt(5))**2 + sqrt(5) - sqrt(5)) + (sqrt(225)/sqrt(5))**2).
-396 - 6*sqrt(5)
Simplify (((3*sqrt(120)*-1)/sqrt(6)*2 + 4)*3)**2.
-864*sqrt(5) + 6624
Simplify (-1*(-5*(sqrt(275)*2)**2 - sqrt(275)) + -5)*-4*1.
-21980 - 20*sqrt(11)
Simplify ((sqrt(320) + 2 + (sqrt(320) - (sqrt(320) + 1*sqrt(320)) - sqrt(320)))*6*1)**2.
-1152*sqrt(5) + 11664
Simplify sqrt(171)/((sqrt(108)*-1)/sqrt(12)) - (-2*sqrt(2299) + (sqrt(19) + 1 + sqrt(19))*4)**2.
-3740 + 111*sqrt(19)
Simplify ((sqrt(119) - 5*sqrt(119)*1)/(sqrt(567) - 3*sqrt(567)))**2.
68/81
Simplify 1 + sqrt(2448)*2 + 1 + (sqrt(425) + sqrt(425) + 0 + sqrt(425) + 2)**2*-5.
-19143 - 276*sqrt(17)
Simplify (sqrt(63)/(sqrt(729)*-3))**2 + -3 + -2.
-3638/729
Simplify 5*(0 + ((-1*sqrt(1872) + 5)**2 + 5 + 1*sqrt(1872))*-5).
-47550 + 2700*sqrt(13)
Simplify ((sqrt(11) + -1 + 3)*-5 - (4*(1 + sqrt(176) + sqrt(176)))**2) + 0.
-11290 - 261*sqrt(11)
Simplify -2 + ((sqrt(288) - (sqrt(288) - 2*sqrt(288))) + 3 + sqrt(288) + 0 + 2 - -3*(2 + sqrt(288)*-1))**2.
119
Simplify (sqrt(462)/(sqrt(11) + sqrt(44)) - (sqrt(336)*-1)/sqrt(8))/((sqrt(6) - (sqrt(12)/sqrt(2)*3 - sqrt(6)))*4).
-sqrt(7)/3
Simplify (2 + sqrt(325) + 1 + 0 + sqrt(325))**2 + 4.
60*sqrt(13) + 1313
Simplify 3 + ((-1 + sqrt(2))*-1 + -5 - (4 + (sqrt(8) - sqrt(32))/sqrt(4)))**2.
67
Simplify 5 + (2*(sqrt(66) + (sqrt(66) - (sqrt(66) + (sqrt(66)*1 - sqrt(66))))) - sqrt(66))/(1*sqrt(216) + sqrt(216) + sqrt(216)).
sqrt(11)/18 + 5
Simplify (sqrt(1620) + (sqrt(1620) - (sqrt(1620) + 5*-4*sqrt(1620) + sqrt(1620))) - sqrt(1620))/(sqrt(10) - -3*sqrt(30)/sqrt(3) - sqrt(10)*-1*6).
171*sqrt(2)/10
Simplify ((4*(sqrt(1053) - -6*(sqrt(1053) + -2)) + (sqrt(1053) + (sqrt(1053) - -1*sqrt(1053)*-1) - (sqrt(1053) - (1 + sqrt(1053))*2)))*-1)**2.
-24840*sqrt(13) + 949816
Simplify 4*(0 + (6*sqrt(44) + (sqrt(99)*-3)/sqrt(9))*1).
36*sqrt(11)
Simplify (sqrt(28)*-1 + sqrt(7) - sqrt(7))*-4 + (sqrt(567)*-2)**2*4.
8*sqrt(7) + 9072
Simplify 5*((2*3*sqrt(66))/(sqrt(36)/sqrt(24)))**2.
7920
Simplify (-5*(-1*sqrt(84) - sqrt(84)))/(-2*sqrt(144)/sqrt(3)).
-5*sqrt(7)/2
Simplify sqrt(40)/sqrt(2) + ((sqrt(5) - sqrt(20)/sqrt(4)) + sqrt(5))*-3 + -2 + sqrt(40)/(sqrt(8)*-1) + -1.
-2*sqrt(5) - 3
Simplify 5 + -5*((sqrt(1216) + 0 + sqrt(1216))**2 + sqrt(1216)) + -1 + (6*(sqrt(684) + 1))**2.
344 + 392*sqrt(19)
Simplify (((sqrt(99) + 1*sqrt(99) - sqrt(99))/sqrt(9)*6 - sqrt(110)/(sqrt(640) + sqrt(10))) + 4)**2.
424*sqrt(11)/9 + 32195/81
Simplify ((sqrt(154) + -6*sqrt(154)*1)/sqrt(7))/(-2*sqrt(2)*-4*6).
-5*sqrt(11)/48
Simplify (((sqrt(114)*-3 + sqrt(114))*-1)/(6*sqrt(42)/sqrt(7)))**2.
19/9
Simplify (sqrt(19) + (sqrt(19) - sqrt(95)/sqrt(5)) + 4 - (sqrt(19)*-2 + 1 + sqrt(19)))**2 + sqrt(2299) + -2 + -2.
81 + 23*sqrt(19)
Simplify ((1*sqrt(5760) + sqrt(5760))/sqrt(5) + 5 + 0 + 0 + sqrt(128))**2.
560*sqrt(2) + 6297
Simplify (sqrt(143) - sqrt(143)*1*-2)/(sqrt(11) + sqrt(1584)*-2 + sqrt(1584) - sqrt(11)).
-sqrt(13)/4
Simplify ((sqrt(55)/(-3*(sqrt(5) - -1*sqrt(5))))**2 + (sqrt(11) + sqrt(55)/sqrt(5)*-2)*6)*5.
-30*sqrt(11) + 55/36
Simplify ((sqrt(176)/sqrt(4) - (sqrt(33)*2)/sqrt(3)) + -2 + 5)**2.
9
Simplify -2 + sqrt(1700) + -4 + 5 + 4.
3 + 10*sqrt(17)
Simplify -1 + (sqrt(2592) - (sqrt(2592) + -1*sqrt(2592))**2) + 5 + ((2*sqrt(126))/sqrt(7) + sqrt(18))/sqrt(9).
4 + 39*sqrt(2)
Simplify ((sqrt(121) + sqrt(121) + sqrt(121)*-4 + sqrt(121))*-6)/(2*sqrt(539) + sqrt(539)).
2*sqrt(11)/7
Simplify (1*sqrt(6)/sqrt(3) - (sqrt(98)*2 - sqrt(98)) - (3 + (sqrt(18) - sqrt(2)) - (sqrt(2) - (sqrt(72) + -2*sqrt(72)))))**2.
6*sqrt(2) + 11
Simplify (5 + -6*(2 + sqrt(343)) - 2*-6*sqrt(343)*-2)**2.
2940*sqrt(7) + 308749
Simplify (sqrt(57) + sqrt(57) + (-3*sqrt(2052) + sqrt(2052) - sqrt(2052) - sqrt(2052)))/((sqrt(3) - sqrt(30)/(sqrt(10)*4 + sqrt(10))) + sqrt(3)).
-110*sqrt(19)/9
Simplify (3*(sqrt(588) - (sqrt(588) + (-1 + sqrt(588))*-2)) - ((sqrt(588) - (sqrt(588) + (0 + sqrt(588))*5 + sqrt(588))) + -1 + sqrt(588) + -4))**2.
-308*sqrt(3) + 71149
Simplify -3*sqrt(35)/sqrt(252) + (sqrt(40)/(sqrt(768)/sqrt(6)))**2.
-sqrt(5)/2 + 5/16
Simplify ((1*sqrt(17))**2 + -3)*4 + (sqrt(153) - (2 + sqrt(153)))**2 + (-2 + sqrt(153))**2 + sqrt(17).
-11*sqrt(17) + 217
Simplify -1*(-4*(-4 + sqrt(7)*-1 + sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(21)/sqrt(3))) + 0 + 3))**2*-4.
128*sqrt(7) + 512
Simplify (sqrt(343) - (sqrt(343)*-1 - sqrt(343) - sqrt(343))*-1)**2 + (-3*sqrt(112))/sqrt(4).
-6*sqrt(7) + 1372
Simplify (-5 + (-2*sqrt(4032) - sqrt(4032) - sqrt(4032))/(2*sqrt(225)))**2.
32*sqrt(7) + 2417/25
Simplify (sqrt(1980) + (2*sqrt(1980) - sqrt(1980))*1)/(-2*-2*sqrt(11)*1).
3*sqrt(5)
Simplify (sqrt(11) + 0 + sqrt(11))*-5 + -1 + sqrt(44) + 5 + -4 + 2*sqrt(11) + 2.
-6*sqrt(11) + 2
Simplify (((sqrt(170) - (-1*sqrt(170) + sqrt(170))) + sqrt(170))*5*-4)/(5*(sqrt(640)*3 + sqrt(640))).
-sqrt(17)/4
Simplify ((3 + sqrt(1331)*1*1*-4)*-3)**2.
-2376*sqrt(11) + 191745
Simplify (sqrt(360)/(sqrt(441) + (sqrt(441)*1 - sqrt(441)) - sqrt(9)))/(sqrt(512) - -1*sqrt(512) - (sqrt(288) - (sqrt(288) - sqrt(288)*2))).
sqrt(5)/24
Simplify (5*sqrt(576))/sqrt(12) + (sqrt(300) + 1)*-1 + 1.
10*sqrt(3)
Simplify -2 + (4 + (sqrt(320) - (2 + sqrt(320)) - sqrt(320)))**2 - ((sqrt(320) - -4*(sqrt(320)*2 - sqrt(320))) + 3).
-72*sqrt(5) + 319
Simplify (-1*sqrt(153)*2*-3)/(sqrt(441)*1 - -4*sqrt(81)).
6*sqrt(17)/19
Simplify (6*sqrt(125)/(sqrt(5)*2))/(sqrt(245) + -6*sqrt(245)*-3 - sqrt(245)).
sqrt(5)/42
Simplify ((sqrt(50)*-2)/sqrt(2)*2)/(sqrt(5) + sqrt(45)/(sqrt(27)/sqrt(3)) - sqrt(15)/(sqrt(9)/sqrt(3))).
-4*sqrt(5)
Simplify (sqrt(110) - (sqrt(110) - -1*sqrt(110))*6)/((-2*sqrt(90) + sqrt(90))/sqrt(9)) + -1.
-1 + 11*sqrt(11)
Simplify (-2*-2*2*sqrt(117))/((sqrt(180)/sqrt(4))/sqrt(5) + (sqrt(225) - (sqrt(225) + 2*sqrt(225)) - sqrt(225))).
-4*sqrt(13)/7
Simplify -2 + sqrt(209)/((sqrt(11) + sqrt(176))*-1) - (sqrt(76) + -2*sqrt(76) + -1)**2*2.
-156 - 41*sqrt(19)/5
Simplify (5 + -5*sqrt(99) + (-1 + -1*sqrt(11))*4)*-4.
-4 + 76*sqrt(11)
Simplify (sqrt(63)/(sqrt(36)/sqrt(4)) - (sqrt(28) + sqrt(112)/sqrt(4))/sqrt(4)) + 0 + -3.
-3 - sqrt(7)
Simplify ((sqrt(63) - (sqrt(63) + -3*sqrt(189)/sqrt(3)))*-5)/(sqrt(18)/(sqrt(2)*-1*5)).
75*sqrt(7)
Simplify sqrt(2057) - ((sqrt(2057) + (3 + sqrt(2057) - sqrt(2057)) + sqrt(2057) - sqrt(2057) - sqrt(2057)) + 1)**2 - 5*(sqrt(17) + sqrt(1088) + 2 + sqrt(1088)).
-74*sqrt(17) - 26
Simplify (2*sqrt(150)/sqrt(6))/(sqrt(40)/(sqrt(8) - sqrt(8)*-4)).
10*sqrt(5)
Simplify -2*(-3 + 1*(sqrt(156) + -2*(sqrt(156) - (sqrt(156) + (sqrt(156) - sqrt(156)*-1))))/(1*sqrt(12)*1)).
-10*sqrt(13) + 6
Simplify (2 + (-5 + sqrt(272) + -1 + 6*(0 + sqrt(272)))**2*-4)*-4.
-5376*sqrt(17) + 213816
Simplify -6*((sqrt(17) - -2*(sqrt(17) + -2) - (sqrt(17) + sqrt(1377) + -2))*3)**2.
-45198 - 1512*sqrt(17)
Simplify 1*(4 + sqrt(405) + (sqrt(405) - (4 + sqrt(405))))*2.
18*sqrt(5)
Simpli | {
"pile_set_name": "DM Mathematics"
} |
69. Let h(k) be the first derivative of p(k). Let w(c) = 4 - c**2 - 6 + 2. Determine w(h(o)).
-5041*o**2
Let t(x) be the second derivative of x**3/3 + 89*x. Let v(q) = 6292*q + 884. Let s(y) = 170*y + 24. Let p(d) = 221*s(d) - 6*v(d). What is p(t(k))?
-364*k
Let t(q) = -62*q**2 - 8*q. Let i(p) = 1290*p. Give i(t(w)).
-79980*w**2 - 10320*w
Let k(b) be the third derivative of -1/4*b**4 + 0*b + 0*b**3 - 2*b**2 + 0. Let y(j) be the second derivative of -j**3/3 + 7*j - 498. Determine k(y(l)).
12*l
Let l(c) = -3*c**2 + 0*c**2 + 5*c**2. Let d(y) = 8*y**2 - 70*y - 21. Let g(w) = 14*w**2 - 120*w - 34. Let i(m) = -12*d(m) + 7*g(m). What is i(l(u))?
8*u**4 + 14
Let w(c) = 2*c. Let b be 1 - (5 + 8/(-4)). Let s be ((-28)/(-12) + b)*15. Let z(y) = 11*y + s*y - y. Calculate z(w(p)).
30*p
Let i(j) be the second derivative of 53*j**4/12 + j + 577. Let b(n) = -21*n. What is b(i(u))?
-1113*u**2
Let s(f) be the third derivative of f**5/12 + 55*f**2 - 4. Let q(t) = 95*t. Calculate q(s(y)).
475*y**2
Let l(h) = -10778*h. Let p(f) = 86*f**2 - 23*f. Give l(p(d)).
-926908*d**2 + 247894*d
Let f(z) = -3*z. Let y(q) be the first derivative of 19*q**5/15 - 25*q**2/2 - 92. Let m(w) be the second derivative of y(w). Determine f(m(h)).
-228*h**2
Let s(p) = 41*p + 16932. Let w(c) = c**2 - 8*c. Determine s(w(i)).
41*i**2 - 328*i + 16932
Let b(h) = -5*h**2 + 0*h**2 + 34*h - 34*h. Let r(i) = 5*i**2 + 61 - 61. What is r(b(o))?
125*o**4
Let n(b) = 2*b**2. Let u(k) be the second derivative of 1 + 0*k**2 + 2*k + 1/3*k**3. What is u(n(h))?
4*h**2
Let o(a) = -6*a. Let g(r) = -125101704*r**2. Give g(o(i)).
-4503661344*i**2
Let x(v) = -17*v**2. Let z(j) be the third derivative of 377*j**5/60 + 1554*j**2. What is z(x(f))?
108953*f**4
Let x(k) = -2*k. Let w(r) = -1817996*r**2 - 320*r. Give w(x(q)).
-7271984*q**2 + 640*q
Let k(s) = -5*s**2. Let n(v) = 2*v**2 + 12. Determine n(k(x)).
50*x**4 + 12
Let l(n) = 2*n**2. Let p(h) = 3*h**2 + 12388659*h - 4. Calculate p(l(o)).
12*o**4 + 24777318*o**2 - 4
Let r(h) = 25 + 52*h - 50*h - 25. Let m(p) = 171*p - 95. Let f(a) = 2*a - 1. Let b(i) = -95*f(i) + m(i). What is r(b(t))?
-38*t
Let p(c) = -5*c. Let l be 18/(-12)*(-16)/12. Let t(u) = 171*u**2 - 318*u**2 + 162*u**l. What is p(t(k))?
-75*k**2
Let n(v) be the first derivative of 23*v**2 + 1261. Let y = 5 - 3. Let m(s) = -5 + 3 + y*s + 2. Calculate m(n(k)).
92*k
Let z(i) = 57352*i. Let l(w) = 25*w. Give l(z(c)).
1433800*c
Let z(i) = 4*i. Let c = -152 - -157. Let a(b) = -7*b + 17*b - c*b. Calculate a(z(r)).
20*r
Let h(c) be the third derivative of 0*c**4 + 0*c**3 - 1/15*c**5 + 0*c + 0 - 73*c**2. Let q(n) = 37*n. What is h(q(w))?
-5476*w**2
Let o(z) = 6185*z**2 - 3094*z**2 - 3094*z**2. Let l(p) be the second derivative of -p**4/12 + p**2 - 11*p. Determine l(o(q)).
-9*q**4 + 2
Let q(k) = 10*k - 9. Let z(l) = 7*l + 16 - 6*l - 16. What is q(z(m))?
10*m - 9
Let r(d) = 3*d**2. Let g(o) = o**3 + 20*o**2 + 36*o - 24. Let l be g(-18). Let x = l + 37. Let n(z) = 38*z + z - x*z. Calculate r(n(k)).
2028*k**2
Let n(x) = -7*x + 4. Let y(b) = -83*b + 22. Let d(j) = -6*n(j) + y(j). Let h(s) = -51*s**2. Give h(d(p)).
-85731*p**2 - 8364*p - 204
Let r(b) = 212*b + 450. Let u(c) = -514*c. Calculate r(u(y)).
-108968*y + 450
Let l(u) = 2*u**2 + 259*u. Let f(a) = 107*a - 67*a - 42*a. What is l(f(q))?
8*q**2 - 518*q
Let o(v) = -5*v**2 + 12. Let h = -223 - -227. Let b(y) = -3443*y + h - 4 + 3441*y. What is o(b(s))?
-20*s**2 + 12
Let m(q) = 6194*q. Let i(y) = -834*y**2 + 2. Calculate m(i(c)).
-5165796*c**2 + 12388
Let j(r) = -3*r + 6. Let i(q) be the third derivative of 0*q**3 + 0 + 0*q + 1/12*q**4 + 18*q**2. What is j(i(w))?
-6*w + 6
Let f(x) = 2*x. Let m(y) = -y**2 + 2*y - 688694. Give f(m(w)).
-2*w**2 + 4*w - 1377388
Let p(n) = 645*n**2. Let d(z) = -412*z - 41. Calculate d(p(r)).
-265740*r**2 - 41
Let h(t) = 8*t**2 - 10*t - 537. Let j(y) = 56*y**2. Determine h(j(r)).
25088*r**4 - 560*r**2 - 537
Let w(g) = -386823*g. Let s(d) = 363*d. Calculate w(s(p)).
-140416749*p
Let h(o) = -42*o**2 - 4*o. Let c(p) = -1684788*p. Determine c(h(l)).
70761096*l**2 + 6739152*l
Let c(t) be the third derivative of -7*t**5/60 + 3*t**2 + 188*t - 6. Let x(u) = 13*u. Give x(c(y)).
-91*y**2
Let w(g) be the second derivative of 5*g**3/3 - 7634*g. Let b(d) = 195*d. Calculate w(b(z)).
1950*z
Let w(n) = 67*n + 2. Let f(d) = -202*d - 7. Let i(h) = -4*f(h) - 14*w(h). Let t(u) be the third derivative of -u**4/24 - 1589*u**2. What is i(t(g))?
130*g
Let p(g) = 1080862*g. Let k(i) = i**2. Determine k(p(f)).
1168262663044*f**2
Let a(q) = 69671143*q. Let g(t) = -t**2. Calculate g(a(b)).
-4854068166926449*b**2
Let b(g) = -g. Let r(f) = 2671*f**2 - 35*f + 7. Let m(o) = -1338*o**2 + 15*o - 3. Let q(i) = -14*m(i) - 6*r(i). Calculate b(q(d)).
-2706*d**2
Let c(v) = -18031*v + 11. Let q(y) = 13*y. Calculate c(q(k)).
-234403*k + 11
Let n(k) = -2*k. Let u be 70/4 - 0 - 6/(-12). Suppose -3*v = 3*z + 9, 4*z - v - u = v. Let a(h) = 10*h**2 + 11*h**z - 27*h**2. What is a(n(c))?
-24*c**2
Suppose 0 = 808*g - 809*g + 2. Let x(j) = -212862*j**2 + 3 - 3 + 212850*j**g. Let d(q) = -14*q. Determine x(d(r)).
-2352*r**2
Let v(q) = -q**2. Let w(b) = -4630038*b. Calculate w(v(u)).
4630038*u**2
Let v(s) = -41*s**2 - 382*s. Let u(j) = -j**2 - 29. Determine v(u(k)).
-41*k**4 - 1996*k**2 - 23403
Let u(l) = 25962867*l. Let x(c) = -2*c**2. What is u(x(p))?
-51925734*p**2
Let k(h) = -7*h**2. Let v(z) = 56*z - 14. Let y = -182 - -185. Let t(l) = 11*l - 3. Let w(o) = y*v(o) - 14*t(o). Determine w(k(n)).
-98*n**2
Let j(o) = 46*o + 1. Let x(c) = 1101*c**2 + 5. Calculate j(x(g)).
50646*g**2 + 231
Let d(v) = -13*v - 45. Let t be d(-6). Let y(b) = -10*b + 56*b + t*b. Let x(f) = -f. Calculate x(y(z)).
-79*z
Let j(o) = 12*o**2. Let a(p) be the second derivative of -13*p**4/3 - p**3/6 + 3*p - 425. Determine a(j(n)).
-7488*n**4 - 12*n**2
Let n(f) = 2*f**2. Let v(b) = 256*b + 39083. Calculate v(n(w)).
512*w**2 + 39083
Let s(b) = -888*b**2. Let m(k) = 9*k**2 + k - 111. Give m(s(r)).
7096896*r**4 - 888*r**2 - 111
Let s(m) = -105*m + 5588. Let d(i) = 2*i**2 - 96. Determine s(d(g)).
-210*g**2 + 15668
Let p(i) be the third derivative of i + 1/60*i**5 + 0 + 0*i**4 - 21*i**2 + 0*i**3. Let u(q) = 45*q**2. Calculate u(p(x)).
45*x**4
Let f(l) = 5*l**2 - 10. Let w(a) = -a**2 - 1. Let i(v) = f(v) - 10*w(v). Let o(z) = 4. Let u(r) = 4*r + 20. Let g(n) = -15*o(n) + 3*u(n). Give i(g(d)).
2160*d**2
Let t(c) = -217*c. Let s(l) = 2*l - 60. Let g(r) = -r + 15. Let a(h) = -12*g(h) - 3*s(h). Give a(t(d)).
-1302*d
Let p(b) be the third derivative of -b**4/12 + 5426*b**2. Let a be -2 - -5 - (-2 + 3). Let j(c) = -2*c**2 - 8*c + 3*c**a + 0*c**2 - 17*c. What is j(p(y))?
4*y**2 + 50*y
Let a(o) be the first derivative of -3*o**2 + o - 22*o**2 + 8*o**2 - 14*o**2 - 67. Let t(i) = -i. Determine a(t(m)).
62*m + 1
Let r(j) = -j + j - 3*j. Let d(k) = 550*k - 572. Suppose 1122*q - 1120*q = 12. Let z(h) = -23*h + 24. Let s(t) = q*d(t) + 143*z(t). Determine s(r(g)).
-33*g
Let v(i) = 5*i**2. Let d(r) = 3 + 228*r + 245*r - 397*r. Calculate v(d(y)).
28880*y**2 + 2280*y + 45
Let f(d) = -58804499*d. Let l(h) = 3*h**2. Determine f(l(g)).
-176413497*g**2
Let x(u) = 4*u**2 - 54567*u. Let a(k) = 19*k. Determine x(a(h)).
1444*h**2 - 1036773*h
Let l(u) = -11*u**2 - 18*u - 3. Let c(b) = 232*b**2 + 384*b + 64. Let x(q) = -3*c(q) - 64*l(q). Let n(z) = -14*z. Calculate n(x(r)).
-112*r**2
Suppose -4*n - 26 = -z, z + 3*n = -4 - 5. Let r(h) = 4*h + 9. Let v(b) = -10*b - 42 - 2*b + 15. Let t(d) = z*v(d) + 17*r(d). Let g(s) = -s. Determine t(g(c)).
4*c - 9
Let t(r) = -72*r. Let l(o) be the first derivative of -4*o**3 - 17. Let f(j) = 5*j**2. Let h(d) = 10*f(d) + 4*l(d). What is h(t(c))?
10368*c**2
Let z(u) = -2*u**2 - 75. Let a(k) = 5*k**2 + 198. Let p(b) = -3*a(b) - 8*z(b). Let x(w) = 16*w - 2. Calculate x(p(g)).
16*g**2 + 94
Let g(n) = 4*n - 47. Let x(t) = -7*t - 115 + 115 + 11*t. Determine x(g(u)).
16*u - 188
Let k(b) = 2*b. Let i be 5/((-49)/14 - -6). Let m(r) = 48*r**2 - 13*r**i - 16*r**2 - 18*r - 15*r**2. Determine m(k(d)).
16*d**2 - 36*d
Let y(l) = 25*l. Let b(s) = -27*s - 11. Let d be (29 - 11)*(-3)/(-9). Let p(t) = -5*t - 2. Let r(q) = d*b(q) - 33*p(q). Calculate y(r(m)).
75*m
Let z(i) = -13*i**2 - 182983 + 182983. Let q(s) = -752*s. Calculate z(q( | {
"pile_set_name": "DM Mathematics"
} |
= 198455 - 198435. Suppose -2*s = s - 435. Let f = s - 66. Calculate the remainder when f is divided by y.
19
Let k(v) = -19*v + 4. Suppose -2*f - 2*m = 119 + 81, -m = -3*f - 300. Let c = -59 - f. Calculate the remainder when k(-4) is divided by c.
39
Let k = -40 + 55. Suppose 4*d + 2*s - 6 = 0, -5*d = -s - 4*s - k. Calculate the remainder when (-2 - 466/d)*16/(-40) is divided by 25.
19
Let p be 190/35 + 1 + 40/(-28). Suppose 7 = 3*t - 44. What is the remainder when 1032/16 - p/10 is divided by t?
13
Let l(r) = r**2 + 16*r + 102. Calculate the remainder when l(-4) is divided by ((4 - 1)/3)/(1/19).
16
Let x be (53/2)/(4/40). Suppose -12*l + x = -7*l. What is the remainder when l is divided by (-4)/18 + -3*505/(-135)?
9
Let b(k) = -13*k + 187. Let y be b(15). Let s(h) = -31*h + 206. Calculate the remainder when s(y) is divided by 8.
6
Suppose 5*u - 341 = 2*y, -59*y + 55*y = 12*u - 880. Suppose -5*o + 2*o = -27. What is the remainder when u is divided by o?
8
Calculate the remainder when 17919 is divided by -12 + 136 - 11 - (2 + -3 + 2).
111
Suppose -8*i = 9*i. Let z(c) = 14*c + 3. Calculate the remainder when 9/2 - (-3)/(-2) is divided by z(i).
0
Suppose -3*a + 2*k + 171 = 164, -k = 2*a - 7. Calculate the remainder when 78 is divided by a.
0
Suppose -2*o = 3*k - 16, o - k - 8 = 10. Suppose -l - 2*l - 4*z = -18, -z = 2*l - 12. Calculate the remainder when (3 - ((-8)/4 + 2)) + o is divided by l.
5
Suppose -5*p + 4*a + 119 = -44, 3*p = 2*a + 99. Let x(i) = -10*i + 987. Calculate the remainder when x(78) is divided by p.
32
Suppose 26*f + f = 132 + 3. Calculate the remainder when 581 is divided by f.
1
Suppose 4*q = -3*m - 24, 2*q + 0*m + 4*m + 12 = 0. What is the remainder when 11 is divided by (-290)/(-70) - (q/7 - -1)?
3
Let z(o) = -3*o**3 + 10*o**2 + 2*o - 6. Suppose 0 = x - 92 + 24. What is the remainder when x is divided by z(3)?
5
Suppose 0*o - o - x = -123, -19*x - 267 = -2*o. What is the remainder when 999 is divided by o?
7
Suppose 59*s + 12 = 63*s. Suppose -m + 7 - 1 = -q, 0 = s*m - 2*q - 15. Suppose 10 = m*a - 38. What is the remainder when 31 is divided by a?
15
Let i = -111 - -193. Let b(w) = -6*w**2 - 57*w - 109. Calculate the remainder when i is divided by b(-6).
14
Calculate the remainder when 195 is divided by (105/15)/(3/(-3)) + 30.
11
Let x(d) = 100*d - 10. Let b be x(3). Suppose 2*t = -t + 60. Suppose 25*y - b = t*y. Calculate the remainder when y is divided by 10.
8
Suppose 4*l - 114 = 2*z, 0 = 2*l + 4*z - z - 69. Let d = 1266 - 1207. Calculate the remainder when d is divided by l.
29
Suppose 16*f - 11*f = 140. Calculate the remainder when (-15)/20*102/(-9)*6 is divided by f.
23
Let z = 6334 - 5241. What is the remainder when z is divided by 113?
76
Let w(n) = 4*n**2 + 19*n - 236. What is the remainder when 1294 is divided by w(7)?
85
What is the remainder when (-58)/(-1)*2/2 is divided by 4*((-126)/12 + 13)?
8
Let p = 330 + -207. Calculate the remainder when p is divided by 30.
3
Suppose -42*j + 39*j - 315 = 0. Let b = j + 108. Suppose s = -b*m + 86 + 198, 400 = 4*m - 4*s. What is the remainder when m is divided by 34?
28
Let w = -16 - -16. Suppose w = -r - r - 16. Let t = 22 + r. What is the remainder when 26 is divided by t?
12
Let s(v) = -5*v**3 + 5*v**2 - 3*v + 1. Let j be s(3). Let o = j - -149. Calculate the remainder when o is divided by 13.
12
Suppose 8*y = 38*y - 150. What is the remainder when 4 + -6 - y - -69 is divided by 16?
14
Suppose 148*a - 4494 - 18150 = 0. Calculate the remainder when 450 is divided by a.
144
Let b = -27 + 34. Suppose -10*h + 9 = -b*h. Calculate the remainder when (1 - (3 - (-5)/(-3)))*-27 is divided by h.
0
Let r(d) = -2*d**3 - 5*d**2 - 10*d + 23. Let u be r(-5). What is the remainder when (-3)/(u/76 + -3)*10 is divided by 41?
35
Suppose 2*f + 3 = 3*b, 0*f = -5*f + 15. Suppose -3*o = b*z - 72, -o = -5*z + 4 - 10. Let w(i) = 4*i - 47. Calculate the remainder when w(o) is divided by 13.
11
Suppose 2*w = -3*z - 11 + 134, 4*z + 193 = 3*w. Calculate the remainder when 619 is divided by w.
52
Let y(c) = -3*c + 5. Suppose -6*x = -2*x - 20. Let l = 4 + x. Calculate the remainder when y(-4) is divided by l.
8
Let g(c) = 325*c**2 + 3*c - 3. Let r = 827345 + -827258. Calculate the remainder when g(2) is divided by r.
85
Let u(l) = -l + 9. Let b be u(7). Suppose b*o - 140 = -3*o. Suppose -7 = -2*z + 13. What is the remainder when o is divided by z?
8
Let l be 9/(-4 - 148/(-36)). Let h = -118 + l. Let t = 42 + h. What is the remainder when 8 is divided by t?
3
Suppose -5*f = -2*l + 2041, 1852 = 2*l - 3*f + 25*f. What is the remainder when l is divided by 43?
14
What is the remainder when 2174 is divided by (-18*14/105)/(21/(-2380))?
270
Suppose -24*t + 12340 = -14444. Let o = t - 947. Calculate the remainder when o is divided by 5.
4
What is the remainder when 83 is divided by ((-42)/11)/((-1)/11) + 5?
36
Let a = 4887 - 4728. What is the remainder when 555 is divided by a?
78
Suppose 5880*d = 5929*d - 35574. What is the remainder when d is divided by 238?
12
Let j be (2/(-10))/(-6 - (-9145)/1525). Let b = 171 - j. Let w = b - 106. Calculate the remainder when w is divided by 4.
0
Suppose 0 = -3*o - 58 + 1390. Suppose -12*u = -o + 108. Suppose 0 = 2*h + h - 24. What is the remainder when u is divided by h?
4
Suppose 0 = x - 3*x + 8. Let h(y) = -y**2 + 13*y + 20. Let p be h(0). Suppose x*a = 5*a - p. What is the remainder when 35 is divided by a?
15
Let s = -36 - -70. Let k(q) = -25*q - s - q**2 - 9*q**2 + q**3 + 52. Calculate the remainder when 26 is divided by k(12).
2
Suppose 26505*c + 128 = 26521*c. Calculate the remainder when 581 is divided by c.
5
Calculate the remainder when 236 is divided by ((-2)/16)/(43/(-38184)).
14
Let c = -6 - -31. Let q = 13058 - 11778. Suppose -35*u + q = -c*u. What is the remainder when u is divided by 43?
42
Suppose g - 116 = -3*g. What is the remainder when g is divided by (9/(-5)*(-2140)/321)/4?
2
Suppose -364 = 4*t - 2*d - 16490, 2*d = -2*t + 8060. Calculate the remainder when t is divided by 369.
341
Calculate the remainder when 118 is divided by 1 + 0 + ((-3)/(-54) - 6409/(-306)).
8
Let j(q) = 8*q - 2. Suppose o = -2*t - t + 17, 0 = 2*o - 3*t + 2. Suppose -3*z + o + 1 = 0. Calculate the remainder when 22 is divided by j(z).
8
Suppose -25*o + 24*o = -71. Suppose 77*l - 1176 = o*l. What is the remainder when l is divided by 20?
16
Let m(d) be the first derivative of 63*d**4/2 + d**3 - 2*d**2 + 2*d + 48. Calculate the remainder when m(1) is divided by 26.
23
Let a = -24386 - -24710. Calculate the remainder when a is divided by 178.
146
Suppose 0 = 4*k - 4*j - 104, 5*k - 122 = 4*j - j. Suppose -1103 - 1603 = -k*q. What is the remainder when q is divided by 55?
13
Let z = -2091 + 2474. What is the remainder when z is divided by 127?
2
Let l(i) = 5*i**2 + 66*i - 258. Calculate the remainder when 4722 is divided by l(4).
78
Suppose 2 + 3 = -5*d. Let k = 206 - 94. Calculate the remainder when k is divided by (-3 - d)*((-27)/2 + -1).
25
Let t = 320 + -228. Let v(x) = 29*x - 276. What is the remainder when t is divided by v(10)?
8
Suppose 0 = -19*b + 1610 + 1449. Suppose b*n - 169*n = -232. Calculate the remainder when 43 is divided by n.
14
Let x be ((-26)/6)/((-5)/45). Suppose 21 = 6*a - x. Suppose -6 = -a*r + 664. Calculate the remainder when r is divided by 23.
21
Let j(u) = 13*u**2 - 31*u + 5. Suppose 70 = -11*w + 103. What is the remainder when 33 is divided by j(w)?
4
Suppose 26 = 5*o - 9. Let l(a) = a**3 + 14*a**2 + 9*a - 252. Calculate the remainder when l(-11) is divided by o.
5
Let t = 102 - 54. Suppose -t = 3*w - 5*w. Let p = -953 + 1045. Calculate the remainder when p is divided by w.
20
Suppose 6*h = 4*o + 2*h - 280, 5*o - 2*h - 353 = 0. Let k = o - 47. Suppose -5*p = 4*x - 31, 5*x - 20 = -3*p + 22. What is the remainder when k is divided by x?
6
Let n be (-4)/(250/83 - 3). Let c = -181 - n. What is the remainder when c is divided by 19?
18
Let t = 183 - 175. Suppose t*j = 6*j + 108. Calculate the remainder when j is divided by 5.
4
Suppose 7*c - 30 = 4*c. Let z(v) = -108*v + 350. Calculate the remainder when z(3) is divided by c.
6
Suppose -5 = -7*s - 19. What is the remainder when s*(212/(-4))/1 is divided by 32?
10
Suppose 2020 = t - a, t = 2*a + 157 + 1 | {
"pile_set_name": "DM Mathematics"
} |
- 63. Is (112/l)/((-4)/30) a multiple of 14?
True
Let o(z) = -z**2 + 19*z - 23. Let x = 36 + -20. Is o(x) a multiple of 25?
True
Suppose 0 = 2*v - 10, 0*l = 5*l - v - 40. Let c = 24 - l. Let d = c - 11. Is d even?
True
Let q be 1/(4*(-2)/(-232)). Let m = q + -3. Is 13 a factor of m?
True
Let w = 17 + -7. Let o = w - 1. Is 9 a factor of o?
True
Let k(j) be the second derivative of 31*j**4/4 - j**3/6 + j**2/2 - 5*j. Is 13 a factor of k(1)?
False
Let s(p) = p - 1. Let y be 30/18 + (-4)/6. Let w(j) = -6*j - 8. Let n(a) = y*w(a) - s(a). Is 14 a factor of n(-5)?
True
Let d be (1 + -2 - -1)/1. Suppose 0 = n + i + 6, 2*i + 3 + 1 = 0. Is d + 14 - 4/n a multiple of 6?
False
Suppose r - 8 = -3. Suppose s - 60 = -r*j, -s - 5*j = s - 115. Let b = -29 + s. Is 15 a factor of b?
False
Let h(d) = 21*d - 2. Is h(2) a multiple of 8?
True
Let x(o) = 4*o - 19. Is x(22) a multiple of 28?
False
Let h be (0/(-4))/(2/(-2)). Suppose h = -d - 3*x + 2*x + 34, 2*x = d - 28. Is d a multiple of 19?
False
Let w be 2/(-5) - 164/(-10). Suppose -60 = -s + i, 2*s - i = 107 + w. Let k = s - 17. Is 23 a factor of k?
True
Does 60 divide -2 + 5/3 - 6489/(-27)?
True
Does 12 divide ((-4)/(-6))/((-2)/(-36))?
True
Let s = 5 + 0. Suppose s*y - 110 = 2*w, 2*w + 51 = 2*y + 13. Let v = -17 + y. Is 7 a factor of v?
True
Is 18 a factor of 3/((-3)/(-72)*2)?
True
Let s = -5 - -21. Suppose -t = t - s. Is t a multiple of 8?
True
Let v be 3/12 + 147/4. Let p(y) = -5*y + 12. Let u be p(6). Let w = u + v. Is w a multiple of 9?
False
Let m = -6 - -6. Suppose -2*k = 5*b - 24, b - 2*k = -m*k. Suppose q - b = 7. Is q a multiple of 5?
False
Let c(m) = m - 9. Let w be c(7). Let d = 7 + w. Suppose 2*p = d*k + 71, -k = 2*p - 2*k - 59. Is p a multiple of 14?
True
Suppose -151 = 3*j - 403. Is 28 a factor of j?
True
Let v(b) = -2*b**3 + 2*b**2 + 5*b + 2. Is 8 a factor of v(-2)?
True
Let c(q) = q**3 + 4*q**2 - 11*q + 6. Is c(-5) a multiple of 18?
True
Suppose 324 = 8*i - 580. Is 21 a factor of i?
False
Let q = 59 + -41. Is q a multiple of 6?
True
Let k(i) be the second derivative of 7*i**3/6 + i**2 + 5*i. Let g = -1 - -3. Does 7 divide k(g)?
False
Suppose -7*c + 0*c + 112 = 0. Does 4 divide c?
True
Let n = -21 - -73. Let j = n + 163. Suppose -7*v + j = -2*v. Is 19 a factor of v?
False
Let k(f) = f**3 - 6*f**2 - 3*f - 8. Let y be k(7). Suppose y = -5*n, 2*h + h = -2*n - 8. Suppose 14 - 152 = -4*w + v, h = -w - 3*v + 28. Is 16 a factor of w?
False
Let c(q) = -3*q**3 - 7*q**2 - 7*q - 5. Is c(-4) a multiple of 33?
False
Let x(g) = -g**2 - 8*g + 5. Let u(j) = -3*j + 1. Let k be u(3). Let s be x(k). Suppose 3*c + 18 = 5*v - 26, 0 = s*v + 2*c - 29. Is v a multiple of 5?
False
Let m(s) = -10*s + 3. Let y be m(-7). Suppose 4*l - 137 = -3*r, 0*r - 2*r + y = -l. Is r a multiple of 13?
True
Suppose -l = -2, 1110 = 3*b - b - 2*l. Suppose 3*u - 6694 = 5*r, 4*u - b = -r - 1882. Does 27 divide r/(-49) + (-2)/7?
True
Suppose 0 = -2*l - 3*l. Suppose l = -n + 4 - 36. Let c = n + 56. Is c a multiple of 9?
False
Let x = -7 - -12. Suppose 31 = 4*k + 5*r, -6*r = -x*k - r + 95. Does 7 divide k?
True
Is (224/(-35))/((-4)/10) a multiple of 7?
False
Suppose r - 3*v + 4 = -r, v = 0. Let f be (0 - r) + -3 + 3. Suppose 5 = 3*g - f*g. Is g a multiple of 4?
False
Let w = 75 - 33. Is 10 a factor of w?
False
Is 12 a factor of (171/27)/(2/72)?
True
Suppose 9*u = 8*u + 4. Suppose 0*v = v - 2*m, 3*v - u*m = 8. Suppose q = -v + 31. Is q a multiple of 8?
False
Let n = -16 + 29. Is n a multiple of 13?
True
Let g = 198 + -141. Let a = -12 + g. Let d = -23 + a. Is 11 a factor of d?
True
Let d be (-2 + 0)*-4*-8. Let t be (-1 - d) + (1 - 1). Suppose 3*x - t = 2*p, 0 = 2*x - 0*x + p - 42. Does 12 divide x?
False
Let r(d) = d**2 + 8*d + 10. Let x be r(-7). Is (9/(-12))/(x/(-12)) even?
False
Let n(q) = q**2 + 11*q + 19. Is n(-10) even?
False
Suppose 22 = 2*l - d + 3*d, d - 32 = -4*l. Does 13 divide 109/4 - l/28?
False
Let t(m) = m**2 - m. Suppose -2*k + 35 = 13. Let x = -8 + k. Does 6 divide t(x)?
True
Suppose 0 = 3*y - y. Suppose y = 5*r + 3*f - 56 - 16, -52 = -5*r + 2*f. Is 11 a factor of r?
False
Let f = -57 - -92. Is f a multiple of 5?
True
Let u(i) = 2*i + 8. Is u(2) a multiple of 4?
True
Is 23 a factor of (-634)/(-18) - (-2)/(-9)?
False
Suppose 282 + 54 = 3*q. Is 14 a factor of q?
True
Let g = 12 - 12. Suppose k - 4*k + 111 = g. Is k a multiple of 16?
False
Is 16 a factor of (-2 + 1 + 3)*24?
True
Suppose -4*z + 106 + 188 = -3*o, 3*z + 3*o - 210 = 0. Let f = -2 - -5. Suppose 5*g - 66 = -3*s + z, -f = g. Is 17 a factor of s?
True
Let o be (-45)/4 + 2/8. Let r be 2/7 + (-89)/(-7). Let z = r - o. Is 17 a factor of z?
False
Let a = -8 + 5. Is (-1)/a - 178/(-6) a multiple of 15?
True
Let n(y) = y**3 - y**2 + 6. Let v be n(0). Let d(w) = w**3 - 6*w**2 - 8*w - 4. Let g be d(v). Let c = -22 - g. Is 15 a factor of c?
True
Suppose -3*i - 2*i = 2*l - 46, l = i - 5. Suppose -5*u - 8 = -4*o, u - 4*u = 5*o - 10. Suppose -g + i + 16 = u. Is g a multiple of 12?
True
Let t(r) = 7*r**2 + 5. Let n be t(-5). Suppose -3*k + 7*k + n = 0. Let i = -27 - k. Does 18 divide i?
True
Let n(q) = q + 3. Let m be n(-3). Let w be 2*36 - (m - 2). Suppose 5*g - w = 3*j, 56 + 12 = 5*g - j. Is 13 a factor of g?
True
Is 25 a factor of (250*(0 - 1))/((-4)/4)?
True
Suppose 3*u = -5*b - 3 - 7, 2*b = 2. Let n be 1/3 - u/3. Suppose -n*m = p - 24, -m = -2*m + 3. Is 10 a factor of p?
False
Let h = 4 - 3. Let w(o) = -3 + 61*o**2 - o - 1 + 4. Is w(h) a multiple of 17?
False
Let s(q) = 2*q**2 + 4*q + 2. Let t be s(-2). Let a be t*15/(-12)*-14. Suppose -2*b + a = 3*b. Is b a multiple of 7?
True
Does 3 divide -12*(3 + 22/(-6))?
False
Suppose 4*c = -10 - 2. Let q(a) be the second derivative of -a**5/20 + a**3/6 - a**2 - a. Is 22 a factor of q(c)?
True
Suppose 11*a - 440 = 6*a. Does 11 divide a?
True
Suppose 0 = -2*n - 5*b + 25, 0*n - 4*n - 4*b = -32. Suppose 2*s - 3*s = -n. Suppose 0 = -o + i + 15, -i + s*i + 73 = 5*o. Does 13 divide o?
True
Suppose 4*v - p - 19 = 0, 5*v - 3*p - 29 = -0*v. Does 4 divide (2/4)/(v/56)?
False
Let g(p) = -p + 9. Let x be g(5). Suppose -4*k + 96 = -2*z, -x*k + 6*z + 92 = 5*z. Does 22 divide k?
True
Suppose -33 = -4*a - p, 0 = -a - 3*p + 11 + 11. Let o(q) = -q**3 + 7*q**2 + q - 2. Does 4 divide o(a)?
False
Let m(o) = o**3 + 9*o**2 + 16*o - 4. Does 2 divide m(-6)?
True
Let a = 124 - -49. Does 11 divide a?
False
Let l be 98 - 6/((-6)/2). Let f(v) = -v**2 + 5*v. Let t be f(4). Suppose t*z - l = 4. Is 14 a factor of z?
False
Suppose p - 77 = 4*h, 2*h - 124 = -p - p. Is 13 a factor of p?
True
Let z be (1360/(-10))/(1/(-1)). Suppose -z + 16 = -5*c. Does 15 divide c?
False
Let j(r) = -r**3 - 6*r**2 - r + 4. Let s be j(-4). Let z be (-1 + -1)/(3/s). Suppose -4 = 3*k - z. Is 2 a factor of k?
True
Suppose -3*s = 12, 0 = -5*h + 6*s - 4*s + 53. Let x(w) = -w**2 + 17*w - 13. Let j(f) = -f + 1. Let p(c) = 5*j(c) + x(c). Is 13 a factor of p(h)?
False
Suppose -44 = -17*o + 6*o. Is o a multiple of 4?
True
Let p(k) = -73*k**3 - k**2 - 2*k - 1. Let q be p(-1). Let y = q - 50. Suppose -10 = -3*g + y. Does 5 divide g?
False
Suppose -4*j + 3*z = -2*z - 144, -z = 0. Does 9 divide j?
True
Let g = -116 + 162. Suppose -3*v - 4 = -5*b + 8, 0 = -3*v + 3*b - 12. Let k = g + v. Is k a multiple of 22?
False
Let r(g) = -17*g + 29. Is r(-4) a multiple of 30?
False
Is 37 a factor of (12 - -14)/((-2)/(-7))?
False
Let b(m) = 3*m**2 - 5*m + 16. Is b(5) a multiple of 6?
True
Let i be 6/(-15) + 12/5. Suppose 3*n - 55 = i*n. Is 19 a factor of n?
False
Let n = -126 + 204. Is n a multiple of 13?
True
Does 5 divide (3 - 36/20)/(4/90)?
False
Let z(a) be the second derivative of -a**5/20 + a**4/6 + a**3/3 - a**2 + 2*a. Let m be z(2). Suppose q - h - 66 = -26, 0 = q - m*h - 44. Does 12 divide q?
True
Let y(v) = -83*v - 16. Is y(-2) a multiple of 9?
False
Let y(a) = -19*a - 1. Suppose -d + 2 + 4 = 0. Suppose 3*n = -0*n - d. Does 14 divide y(n)?
False
Let j(a) = 2*a**3 - 3*a**2 + a. Let u be j(2). Suppose 11*w - 4*s = u*w + 119, 0 = 4*s + 4. Does 6 divide w?
False
Let a = -11 + 1. Does 10 divide (-184)/a - (-6)/(-15)?
False
Suppose m = 2*m, r + 5*m - 20 = 0. Is 6 a factor of r?
False
Let u(y) be the second derivative of y**5/20 + 5*y**4/12 + 2*y**3/3 + 2*y. Does 6 divide u(-3)?
True
Let n be (-2)/(-3)*(-3)/1. Let o | {
"pile_set_name": "DM Mathematics"
} |
-3496*q**3 - 4842*q**3 - 2*q + 2*q - 2*q**2.
-8338*q**3 - 2*q**2
Collect the terms in 31*v**3 + 828*v + 90*v**3 - 828*v.
121*v**3
Collect the terms in -70*n - 52*n + 179*n - 22*n**3 - 57*n.
-22*n**3
Collect the terms in -31052171*i**3 + 0*i + 31052172*i**3 + 0*i + i - i.
i**3
Collect the terms in -3308*b**2 + 1066*b**2 + 2246*b**2.
4*b**2
Collect the terms in -118*l - 122*l + 475*l - 119*l - 117*l.
-l
Collect the terms in 19 + 13*t - 5*t - 2*t + 4*t + 9*t.
19*t + 19
Collect the terms in -146 - 724*h + 246*h + 146.
-478*h
Collect the terms in -19 + 13 - 22 - 31*k**2 - 19.
-31*k**2 - 47
Collect the terms in 5*u + 30454 - 30454 + 9*u.
14*u
Collect the terms in 701*g**2 - 322*g**2 + 2*g**2 + 799*g**2.
1180*g**2
Collect the terms in -91507116 + 91507116 - u.
-u
Collect the terms in w + 21*w - w**2 - w**2 + 7*w - 21.
-2*w**2 + 29*w - 21
Collect the terms in 7 - 2882*i**2 + 2884*i**2 - 7.
2*i**2
Collect the terms in -190*j**3 - 203*j**3 + 384*j**3 - 157.
-9*j**3 - 157
Collect the terms in 10 + 10*m**3 - 12*m**3 + 15.
-2*m**3 + 25
Collect the terms in -76 + 2*z**2 - z**2 + 76 + 34*z - 34*z.
z**2
Collect the terms in -291*l + 71 + 134*l + 161*l.
4*l + 71
Collect the terms in -2*d**3 + 987*d + 998*d - 1985*d.
-2*d**3
Collect the terms in 23*d**2 + 12*d**2 - 23*d**2 + 67 - 61.
12*d**2 + 6
Collect the terms in 9 + 5 - 4 - 19*s + 8 - 15.
-19*s + 3
Collect the terms in 82*n + 9*n - 82*n - 1.
9*n - 1
Collect the terms in -14 + 125*j + 28 + 0 - 14.
125*j
Collect the terms in -23*k**3 + 137*k - 23*k**3 + 48*k**3.
2*k**3 + 137*k
Collect the terms in -456*l**3 - 1354*l**2 + 1354*l**2.
-456*l**3
Collect the terms in 116704*a - 58269*a - 58439*a.
-4*a
Collect the terms in 33*h + 0 + 0 - 188*h + 36*h + 103*h.
-16*h
Collect the terms in -165775225 + 3*b + 165775225.
3*b
Collect the terms in 32 + 317043*u**2 + 34 - 317048*u**2 - 66.
-5*u**2
Collect the terms in 0 - 3 - o + 8*o - 6*o + 0*o.
o - 3
Collect the terms in -1010*q + 3030*q - 1011*q - 1015*q.
-6*q
Collect the terms in -10 + 10337*m**3 - 10029*m**3 + 10.
308*m**3
Collect the terms in 105 + 63 - 225 + 57 + 25*c**2.
25*c**2
Collect the terms in 982*t - 48067 + 48067.
982*t
Collect the terms in -2*y - 3445 + 2728 - 10095.
-2*y - 10812
Collect the terms in -12*x**3 - 11*x**3 + 7 - 11*x**3 - 7.
-34*x**3
Collect the terms in 6*s - 19*s + 13*s + 220*s**3 + 22*s**2.
220*s**3 + 22*s**2
Collect the terms in 27*s**3 - 373*s**3 + 29*s**3.
-317*s**3
Collect the terms in -15373 + 15373 - 109*f**3.
-109*f**3
Collect the terms in 4*u - 4*u - 360*u**3 + 12*u + 357*u**3.
-3*u**3 + 12*u
Collect the terms in -l**3 + 29013*l**2 + 29010*l**2 - 58006*l**2.
-l**3 + 17*l**2
Collect the terms in 254360 - 254360 - 2*m.
-2*m
Collect the terms in -103 + x**2 - 981 + 154.
x**2 - 930
Collect the terms in -235*g + 48*g - 93*g - 54*g.
-334*g
Collect the terms in -985 + 1978 - 17*w - 993 + 12*w.
-5*w
Collect the terms in 57*l**2 - 106*l**2 + 67*l**2 + 36*l**3 - 31*l**3.
5*l**3 + 18*l**2
Collect the terms in -2*d**2 - 863 + 285 + 287 - 22*d**2 + 291.
-24*d**2
Collect the terms in 133*p + 7*p - 20*p - p + 2*p**3 - 3*p**3.
-p**3 + 119*p
Collect the terms in -190 + 61 - 15*v**2 + 66 + 65 + 4*v**2.
-11*v**2 + 2
Collect the terms in 186913 + 4*i + 186920 - 373833.
4*i
Collect the terms in 367*d**2 - 20 + 20 - 668*d**2 + 294*d**2.
-7*d**2
Collect the terms in -7931*j + 15923*j - 7988*j.
4*j
Collect the terms in -20*o + 15*o - o**2 - 5*o**2 + 9*o.
-6*o**2 + 4*o
Collect the terms in -235*a**2 - 227*a**2 - 155*a**3 - 234*a**2 + 696*a**2.
-155*a**3
Collect the terms in -46*v**3 - 3*v + 138*v**3 - 40*v**3 - 25*v**3 + 3*v.
27*v**3
Collect the terms in -11 + 134*y**2 - 31*y**2 + 27*y**2 + 11.
130*y**2
Collect the terms in 833*w**2 + 493*w**2 + 774*w**2 + 680*w**2.
2780*w**2
Collect the terms in 15*f - 27 + 25 + 1 + 7*f.
22*f - 1
Collect the terms in 115*g**2 + 2*g - 30 - 82*g**2 + 23.
33*g**2 + 2*g - 7
Collect the terms in 526*t**3 - 215*t**3 - 319*t**3.
-8*t**3
Collect the terms in -3838*f**3 + 1942*f**3 + 1921*f**3.
25*f**3
Collect the terms in -1206*g**2 + 1639*g**2 - 2 + 2.
433*g**2
Collect the terms in -263*m**2 - 259*m**2 - 257*m**2 + 780*m**2.
m**2
Collect the terms in 0*w - 2*w + 0*w - 8*w + 3*w.
-7*w
Collect the terms in -507*o**2 + 0*o + 0*o.
-507*o**2
Collect the terms in 40*g + 40*g + 52*g - 138*g - 2.
-6*g - 2
Collect the terms in -38*m + 37*m + 60*m - 2 + 2.
59*m
Collect the terms in 277*g + 253*g - 15*g**3 - 231*g + 1233*g.
-15*g**3 + 1532*g
Collect the terms in -63 - 1320*r + 1318*r - 35.
-2*r - 98
Collect the terms in 5*n**3 - 45*n**3 + 4*n**3 + 31*n**3.
-5*n**3
Collect the terms in 11*g**2 + 124*g**2 - 20*g**2.
115*g**2
Collect the terms in 38*r**2 - 609 - 611 - 610 + 1830.
38*r**2
Collect the terms in -t**2 - 6*t**2 + 2 + 3*t**2 - 440*t.
-4*t**2 - 440*t + 2
Collect the terms in 39*s**2 - 154*s**2 + 71*s**2 + 49*s**2.
5*s**2
Collect the terms in 7103 + 229*d**3 - 3557 - 3546.
229*d**3
Collect the terms in 37*s**2 - 4599 + 4601 - 243*s**2.
-206*s**2 + 2
Collect the terms in 731*x + 702*x - 1447*x.
-14*x
Collect the terms in -52375*h + 52375*h - 354*h**2.
-354*h**2
Collect the terms in 111*w**2 - 768*w**2 - 2268*w**2.
-2925*w**2
Collect the terms in -t**3 - 6*t**3 + 20*t**3 - 2*t**3 - 8*t**3 - 4*t**3.
-t**3
Collect the terms in -72*o**3 - 34*o**3 - 8*o**3.
-114*o**3
Collect the terms in -6 - 6*o + 19*o - 15*o - 7.
-2*o - 13
Collect the terms in -60*j - 22*j - 3*j + 11*j.
-74*j
Collect the terms in -27*a**3 - 70 + 51*a**3 - 75*a**2 + 70 - 22*a**3 + 34*a**2.
2*a**3 - 41*a**2
Collect the terms in -42 + 17 + 21 - 9*y + 20*y**2.
20*y**2 - 9*y - 4
Collect the terms in -2055*k - 2291*k + 4357*k.
11*k
Collect the terms in 24 - 69*b + 14 + 66*b + 9 - 47.
-3*b
Collect the terms in -5*k**2 - k**2 - 22*k**2 - 46*k**2.
-74*k**2
Collect the terms in -3 - 92364*c - 1 + 4 + 92354*c.
-10*c
Collect the terms in -360*s - 370*s - 11*s**2 + 729*s.
-11*s**2 - s
Collect the terms in 115 - 115 - 22*r**3 - 447*r**3 - 490*r**3.
-959*r**3
Collect the terms in 159871 + 499*d - 159871.
499*d
Collect the terms in 21504*v**3 - 10742*v**3 - 10757*v**3.
5*v**3
Collect the terms in 13586 - 37*l + 10*l - 13584 + 19*l.
-8*l + 2
Collect the terms in -24 + 6*k - 19*k + 29*k + 24 + k.
17*k
Collect the terms in i**3 + 1013*i - 531*i - 474*i.
i**3 + 8*i
Collect the terms in 4*w - 5*w - 3460*w**3 + w.
-3460*w**3
Collect the terms in 6*i + 34 - 5*i - 63 + 62.
i + 33
Collect the terms in -691*u + 185*u + 310*u + 210*u.
14*u
Collect the terms in 1387*q**2 + 5 - 1 - 4.
1387*q**2
Collect the terms in -12*h**3 + 7439*h**2 - 7439*h**2.
-12*h**3
Collect the terms in 89 - 190 - 152 + 2*z - 131 - 183.
2*z - 567
Collect the terms in 0*h - 4*h + 5*h - 4*h - 14*h + 9*h.
-8*h
Collect the terms in -2*p**2 + 29185837*p - 29185837*p.
-2*p**2
Collect the terms in 7*s - 21*s - 19*s - 7*s.
-40*s
Collect the terms in -22*u - 36*u**2 + 48*u - 8*u - 18*u.
-36*u**2
Collect the terms in 3578*d - 3920*d + 339*d.
-3*d
Collect the terms in -30*q**2 + 23 + 7 + 10*q**2.
-20*q**2 + 30
Collect the terms in -2*x**3 + 2*x**3 + 35937 - 35937 + 12*x**3.
12*x**3
Collect the terms in 2871*x - 2871*x - x**3 + 17*x**2.
-x**3 + 17*x**2
Collect the terms in 166*p + 154*p - 304*p.
16*p
Collect the terms in 303 + 311 + 300 - 914 - 4*h.
-4*h
Collect the terms in -10*f**3 - 2*f - 7 + 2*f**3 + 1 - 3*f**3 + 7.
-11*f**3 - 2*f + 1
Collect the terms in 5 - 3109*t + 4293*t - 4.
1184*t + 1
Collect the terms in 2275*c**3 + 2259*c**3 - 6796*c**3 + 2259*c**3.
-3*c**3
Collect the terms in 4 + 22*h - 92*h - h**2 + 70*h.
-h**2 + 4
Collect the terms in -340*s**3 + 471*s**3 - 143*s**3.
-12*s**3
Collect the terms in -43 - 40 - 256*o + 83.
-256*o
Collect the terms in 3089*l + 111 - 56 + 1043*l - 53.
4132*l + 2
Collect the terms in -143*c + 77*c - 168*c.
-234*c
Collect the terms in -n - 4 - n - 189*n**3 - 205*n**3 + 88*n**3 + 13*n**2.
-306*n**3 + 13*n**2 - 2*n - 4
Collect the terms in -477*m - 1457*m - 1001*m.
-2935*m
Collect the terms in 22*j**2 - 10 - 50*j**2 + 29*j**2 + 29*j - 17.
j**2 + 29*j - 27
Collect the terms in 52694 - 924*g - 52694.
-924*g
Collect the terms in -143*f + 268*f - 44*f.
81*f
Collect the terms in 105*k**2 - 312*k**2 + 99*k**2.
-108*k**2
Collect the terms in 20 - 12 + 148*r - 3 - 3.
148*r + 2
Collect the terms in -4* | {
"pile_set_name": "DM Mathematics"
} |
of -1334261*d*n*s**2 + 1946*d*s**2 + 6*d*s + d - 4*s**2 wrt n.
-1334261*d*s**2
Find the first derivative of -3*c**2*d + c**2*p**3 + 2*c*d*p**3 + 2289*c*d - 1514*c*p**3 - 56*p**2 wrt d.
-3*c**2 + 2*c*p**3 + 2289*c
What is the third derivative of -2*a**5 - 9594*a**4 + 18*a**2 - 2*a + 67 wrt a?
-120*a**2 - 230256*a
What is the derivative of 1358*g**3 - 13*g + 10803?
4074*g**2 - 13
What is the derivative of g**4 + 1872*g*j + 23*j - 42 wrt g?
4*g**3 + 1872*j
Find the first derivative of 176*k**3*v - 8*k**3 - 28607*v wrt k.
528*k**2*v - 24*k**2
Find the second derivative of -4523*d**2*u**3 + 12*d**2*u - 3*d*u**3 + 830*d*u**2 - 2*d*u wrt d.
-9046*u**3 + 24*u
What is the third derivative of 5668*n**5 + 37*n**3*o - 22*n**2*o + n*o - 190 wrt n?
340080*n**2 + 222*o
Find the second derivative of -4148*m**3 + 37*m**2 - m + 977.
-24888*m + 74
Find the third derivative of -5*l**5 - 131*l**4 - 23*l**2 - 2*l - 20553 wrt l.
-300*l**2 - 3144*l
What is the third derivative of -6*d**3*j**3 - 413*d**3 + 3*d**2*j**3 - 5*j**3 - 3502 wrt d?
-36*j**3 - 2478
Find the third derivative of 6400*d**6 + 30537*d**2 wrt d.
768000*d**3
Find the third derivative of -275289*m**3 + 2*m**2 - 2*m - 6173.
-1651734
Find the third derivative of -167837*o**6 - 86799*o**2.
-20140440*o**3
Find the second derivative of -14*d**5 + d**3 - 37003*d**2 - 2608054*d wrt d.
-280*d**3 + 6*d - 74006
Find the third derivative of -767*n**6*o**3 + 12*n**6*o + n**2 - 50*n*o**2 - 1276*o**3 wrt n.
-92040*n**3*o**3 + 1440*n**3*o
Find the first derivative of -333523*l**4 - 633157 wrt l.
-1334092*l**3
What is the third derivative of -25*s**5 + 381*s**4 + s**3 + 9*s**2 - 155*s + 2?
-1500*s**2 + 9144*s + 6
What is the second derivative of 295247*l**2 - 2931683*l?
590494
Find the first derivative of 47156*s - 80421.
47156
What is the third derivative of -2245125*l**6 + 4*l**2 - 130667 wrt l?
-269415000*l**3
What is the second derivative of 77524*x**2 - 47929*x + 2?
155048
Differentiate -37200*n - 40989 wrt n.
-37200
Find the third derivative of 478*p*z**3 + 13*p*z**2 + 103*p*z - 2*p - 39*z**3 - z**2 + 3 wrt z.
2868*p - 234
Differentiate -603843*d + 1454623 with respect to d.
-603843
What is the second derivative of 30894*p**3 + 2*p**2 - p + 6492 wrt p?
185364*p + 4
Find the first derivative of -32*b*h - 2153689*b - 2079*h wrt h.
-32*b - 2079
Find the third derivative of -1439*h**6 + 168*h**5 - 21*h**2 - 525*h - 6 wrt h.
-172680*h**3 + 10080*h**2
What is the second derivative of -3*c**2*i**2*m**3 - 18*c**2*i*m**2 - c**2*m**3 + c**2 + 863077*c*i**2*m**3 + 1291*i*m**3 - 2*i wrt i?
-6*c**2*m**3 + 1726154*c*m**3
Find the third derivative of -4398523*k**3 - 1017228*k**2.
-26391138
What is the second derivative of h**3*s**2*y + 4*h**3*s*y - h**3*y**2 + 351543*h*s**2*y**2 - 608*h*s**2 wrt y?
-2*h**3 + 703086*h*s**2
What is the second derivative of 175483*w**3 + 86718*w?
1052898*w
Differentiate 7*l**2*m + 2*l**2*x**3 + 7338*l*m*x**3 + 65*l*m with respect to x.
6*l**2*x**2 + 22014*l*m*x**2
Differentiate -6509074*x**4 - 1197390.
-26036296*x**3
Differentiate -307084*j**2 - 585089 wrt j.
-614168*j
What is the second derivative of -242*c**4 + 3*c**3 + c - 87404?
-2904*c**2 + 18*c
Find the first derivative of -4768*o**3*v - 14*o**3 + 3*o**2 + 52*o - 4*v**2 wrt v.
-4768*o**3 - 8*v
What is the first derivative of -194185*b**2 + b - 275577?
-388370*b + 1
What is the derivative of -5*a**3 + 657*a**2 - 32*a - 882604 wrt a?
-15*a**2 + 1314*a - 32
Find the second derivative of 918*h**3*i**2 - 1947*h**3 - 649*h*i**2 - 82*i wrt i.
1836*h**3 - 1298*h
Differentiate 5239*f**3*l*s**2 + 204*f**3*l + 15*f**3*s**2 - 4*f**2*s**2 + 1545*s**2 with respect to l.
5239*f**3*s**2 + 204*f**3
What is the derivative of 1301146*m**2 - 1205098?
2602292*m
What is the derivative of -4599303*m**3 - 1203623?
-13797909*m**2
What is the derivative of 24*f**3 + 186*f**2 + f - 49977 wrt f?
72*f**2 + 372*f + 1
Differentiate 3158*h**4 - 53*h**3 - 197682.
12632*h**3 - 159*h**2
Find the first derivative of 99642*d - 151759 wrt d.
99642
Differentiate -160*p**3*v + 4*p**2 + 33*p + 71*v + 996 wrt p.
-480*p**2*v + 8*p + 33
Find the second derivative of 11*m**3 + 293*m**2 + 70370*m wrt m.
66*m + 586
Find the third derivative of -13822*d**3 + 90*d**2 - 5 wrt d.
-82932
Find the first derivative of -1739540*x + 2031584 wrt x.
-1739540
Find the second derivative of -9799*h**3*l**3 - 2*h**3 + h**2*l - 2*h*l**3 + 24*l - 2 wrt l.
-58794*h**3*l - 12*h*l
What is the first derivative of -61482*b - 481266?
-61482
What is the second derivative of 116326*i*m**2 - 78477*i*m wrt m?
232652*i
What is the derivative of 6693924*f*u + 4933763*u wrt f?
6693924*u
What is the first derivative of 1101*x**3 - 609*x**2 - 1445941 wrt x?
3303*x**2 - 1218*x
What is the third derivative of 20738*r**3*w**3 - 1221*r**2*w**3 + 2*r**2*w + 32*r*w**3 wrt r?
124428*w**3
Differentiate 1229050*l**3*u - 355421*l**3 with respect to u.
1229050*l**3
What is the second derivative of -308220*h**5 - 364786*h?
-6164400*h**3
Find the third derivative of -946*a**3*q + 99*a**3 + 5*a**2*q - 399*a**2 - q wrt a.
-5676*q + 594
What is the third derivative of -68*g**4 - 255*g**3 - 13097*g**2 - 2*g wrt g?
-1632*g - 1530
Find the second derivative of 214955*y**3 - 220774*y.
1289730*y
Find the second derivative of 87911*k**5 - 3906136*k wrt k.
1758220*k**3
What is the first derivative of -46306*p*w**3 + 12223*w**3 + w**2 wrt p?
-46306*w**3
Find the first derivative of -2*c**2*q - 2622*c**2 - 2*c*q + 2*c - 16464*q wrt c.
-4*c*q - 5244*c - 2*q + 2
Find the second derivative of -14601*g**2*s - g**2 - 6*g*s + 48*g - 30*s - 34 wrt g.
-29202*s - 2
Find the second derivative of -18708*b**2*u**5 - 3*b**2*u**3 - b**2*u - b**2 - 3*b + 635*u + 6 wrt u.
-374160*b**2*u**3 - 18*b**2*u
Find the third derivative of 2*p**5 - 192*p**4 - 10*p**3 + 50492*p**2.
120*p**2 - 4608*p - 60
What is the derivative of 3684*i**3*r - 2313*i**3 + 2*i**2*r**3 - 4*i wrt r?
3684*i**3 + 6*i**2*r**2
What is the third derivative of 23*m**2*y**4 - 25*m**2*y**3 - 111*m**2 - 28*m*y**3 + 323*m*y**2 wrt y?
552*m**2*y - 150*m**2 - 168*m
Find the second derivative of 253*o**5 + o**3*x + 79*o**2*x + 14*o + 304*x wrt o.
5060*o**3 + 6*o*x + 158*x
What is the first derivative of -123*k**4 + 1223*k + 1364603 wrt k?
-492*k**3 + 1223
Find the second derivative of -282223*a**2 + 258025*a wrt a.
-564446
Find the second derivative of -210506*g**3*h**2 + 2*g**3*h + g**3 - g*h**2 - 7413*g + h**2 + 57*h wrt g.
-1263036*g*h**2 + 12*g*h + 6*g
Find the third derivative of -367*x**6 - 7*x**4 + 2*x**2 + 2*x - 5649.
-44040*x**3 - 168*x
Find the third derivative of -83911*q**3 + 12*q**2 + 497 wrt q.
-503466
Find the second derivative of -948659*c**5 - 84985*c.
-18973180*c**3
Find the third derivative of 268*z**4 - 45*z**3 - 37742*z**2.
6432*z - 270
Find the third derivative of -80*s**5 - 154*s**4 + 5*s**2 - 5*s + 35.
-4800*s**2 - 3696*s
Differentiate -2*n*w**3 - 879*n*w**2 + 41*n*w + 6*n - 2*w**3 - 1757*w**2 - 43 wrt n.
-2*w**3 - 879*w**2 + 41*w + 6
What is the second derivative of -3520*j**2 - j - 5114?
-7040
What is the derivative of 31*i*u*x - 25*i*u + 2*i - 73*u**2*x - 10*u**2 + 583*u + 118*x wrt x?
31*i*u - 73*u**2 + 118
What is the third derivative of 2170*d**6*i + 229*d**3*i + 265*d**2*i - 353*d*i wrt d?
260400*d**3*i + 1374*i
Find the second derivative of 28611*n**5 - 31*n - 106 wrt n.
572220*n**3
Find the third derivative of 3*q**6 - 3*q**4 + 83064*q**3 - q**2 - 5039*q + 145 wrt q.
360*q**3 - 72*q + 498384
What is the derivative of -6*y**3 + 47280*y**2 + 211277 wrt y?
-18*y**2 + 94560*y
Find the third derivative of 317*b**5*s**3 - 390*b**3*s**3 - 14*b**2*s**2 + 2*b**2*s + 50*b*s**3 + 1 wrt b.
19020*b**2*s**3 - 2340*s**3
Differentiate 1647484*n**2 + 1354995 wrt n.
3294968*n
Find the third derivative of -22588*g**4*k + 17*g**3*k**2 + 86*g**2*k**2 + 594*g**2*k - 3*g wrt g.
-542112*g*k + 102*k**2
Find the first derivative of 132854*i**2 - 66245 wrt i.
265708*i
What is the second derivative of -20*g**2*n**2 - g**2*n*u**2 + 61*g**2*u**2 - 931*g*n**2*u**2 + 96*g*n*u**2 + 2*n wrt n?
-40*g**2 - 1862*g*u**2
Find the second derivative of 66*l**5 + 20729*l**3 - 2060655*l.
1320*l**3 + 124374*l
What is the third derivative of 4587*t**6 - 50*t**3 + 5*t**2 - 81208*t?
550440*t**3 - 300
What is | {
"pile_set_name": "DM Mathematics"
} |
{j: 1, o: 2, q: 1, a: 1, c: 1, m: 2}?
1/840
What is prob of sequence yy when two letters picked without replacement from yiiyiviiyyyiv?
5/39
What is prob of sequence go when two letters picked without replacement from tgtottra?
1/56
Three letters picked without replacement from sszzkszkskzkszzzkkkz. Give prob of sequence szs.
4/171
Two letters picked without replacement from ttqhgq. Give prob of sequence tg.
1/15
Three letters picked without replacement from {h: 9, o: 5}. What is prob of sequence hoh?
15/91
What is prob of sequence ffyk when four letters picked without replacement from ffyyygyk?
1/210
What is prob of sequence hj when two letters picked without replacement from {h: 14, j: 4}?
28/153
What is prob of sequence yb when two letters picked without replacement from ssghbbbby?
1/18
Three letters picked without replacement from {e: 1, d: 1, m: 1, q: 5, n: 6, r: 3}. What is prob of sequence edr?
1/1360
What is prob of sequence zzz when three letters picked without replacement from {z: 2, x: 16}?
0
Four letters picked without replacement from uuzuzzu. What is prob of sequence zzzu?
1/35
Calculate prob of sequence lllt when four letters picked without replacement from {l: 15, t: 4}.
455/3876
What is prob of sequence yyy when three letters picked without replacement from ayyayyayyyyy?
21/55
Four letters picked without replacement from bujttttbbjnjjttjn. Give prob of sequence nuuj.
0
Three letters picked without replacement from ahacaccc. Give prob of sequence aha.
1/56
Two letters picked without replacement from {d: 3, n: 2}. Give prob of sequence dn.
3/10
Two letters picked without replacement from yemyemyemme. Give prob of sequence yy.
3/55
What is prob of sequence ss when two letters picked without replacement from hsqqqqpspqspsq?
6/91
What is prob of sequence endj when four letters picked without replacement from ddjnnde?
1/140
Calculate prob of sequence avak when four letters picked without replacement from {t: 3, v: 1, j: 5, a: 5, k: 2}.
1/1092
Three letters picked without replacement from xxsxxxssxsxsx. Give prob of sequence sxx.
70/429
Four letters picked without replacement from lnvnlknnbsslllnl. Give prob of sequence lnln.
5/364
What is prob of sequence pbz when three letters picked without replacement from pzpzppzppbzzppzppzp?
77/5814
Calculate prob of sequence leeq when four letters picked without replacement from leldllqqeqe.
1/110
Calculate prob of sequence vqq when three letters picked without replacement from {q: 3, t: 2, v: 1, b: 4, k: 1}.
1/165
What is prob of sequence mm when two letters picked without replacement from {m: 6, p: 4, v: 10}?
3/38
Calculate prob of sequence sjw when three letters picked without replacement from wwwjsjwwjf.
1/48
Two letters picked without replacement from {u: 1, i: 1, k: 1, f: 1, c: 1}. Give prob of sequence fi.
1/20
Calculate prob of sequence wqw when three letters picked without replacement from {g: 1, w: 4, q: 6}.
4/55
Two letters picked without replacement from {o: 1, j: 3, y: 2, k: 3, w: 3, d: 1}. Give prob of sequence oy.
1/78
Four letters picked without replacement from {s: 2, d: 1, k: 1}. What is prob of sequence skds?
1/12
Two letters picked without replacement from {k: 1, s: 6, g: 1, t: 2, q: 7}. Give prob of sequence ks.
3/136
Calculate prob of sequence zedz when four letters picked without replacement from eezzegd.
1/140
Two letters picked without replacement from ylqgrqrkykyylqlk. What is prob of sequence qg?
1/80
Calculate prob of sequence yyhf when four letters picked without replacement from yfyyyyyffhyyyyfyf.
55/5712
Two letters picked without replacement from {b: 2, a: 2, l: 1, z: 1}. Give prob of sequence zb.
1/15
What is prob of sequence he when two letters picked without replacement from {e: 7, h: 7}?
7/26
Calculate prob of sequence uxq when three letters picked without replacement from wyyuqxxc.
1/168
What is prob of sequence buxx when four letters picked without replacement from {x: 5, s: 2, t: 7, u: 1, b: 1, l: 1}?
1/2856
Two letters picked without replacement from bfphc. What is prob of sequence pf?
1/20
Calculate prob of sequence bqvf when four letters picked without replacement from {b: 1, v: 1, q: 1, f: 1, s: 1}.
1/120
What is prob of sequence qx when two letters picked without replacement from nqxqvv?
1/15
What is prob of sequence gg when two letters picked without replacement from {g: 2, k: 3}?
1/10
Calculate prob of sequence tc when two letters picked without replacement from kckkctr.
1/21
Four letters picked without replacement from kcxxcbxxcxcxbxx. Give prob of sequence cxcx.
4/195
Four letters picked without replacement from vjdddivvddvjdbdd. What is prob of sequence jivj?
1/5460
What is prob of sequence rrr when three letters picked without replacement from rrrrpkk?
4/35
Three letters picked without replacement from {b: 2, m: 4, l: 1, v: 2}. What is prob of sequence vlv?
1/252
Calculate prob of sequence tnct when four letters picked without replacement from {n: 10, c: 5, t: 4}.
25/3876
Four letters picked without replacement from {b: 1, k: 1, o: 1, y: 2, n: 1, u: 1}. Give prob of sequence byub.
0
What is prob of sequence geee when four letters picked without replacement from {g: 10, e: 4}?
10/1001
What is prob of sequence km when two letters picked without replacement from {k: 2, m: 1}?
1/3
What is prob of sequence jjzp when four letters picked without replacement from pzjpzpqjzqz?
1/330
Four letters picked without replacement from {v: 8, d: 2, t: 3, q: 3}. Give prob of sequence tqtt.
3/7280
Calculate prob of sequence fw when two letters picked without replacement from {u: 3, l: 3, f: 4, n: 2, w: 3, z: 1}.
1/20
Calculate prob of sequence jdoh when four letters picked without replacement from {r: 2, d: 1, m: 1, h: 1, j: 1, o: 1}.
1/840
Three letters picked without replacement from {g: 7, l: 12}. Give prob of sequence lgl.
154/969
Two letters picked without replacement from gfrkkwm. What is prob of sequence fm?
1/42
What is prob of sequence ee when two letters picked without replacement from {e: 5, j: 7}?
5/33
Calculate prob of sequence yogy when four letters picked without replacement from ogyksoyg.
1/210
Three letters picked without replacement from {x: 2, d: 6, j: 9, v: 1, f: 1}. Give prob of sequence xvd.
2/969
Three letters picked without replacement from vqqsvqsvvqqssvqqvsqv. Give prob of sequence vvs.
7/228
What is prob of sequence tta when three letters picked without replacement from ftdwwfwwfdtafdfd?
1/1680
Four letters picked without replacement from imiwmtaaiwaimaia. Give prob of sequence imwm.
1/728
Calculate prob of sequence ja when two letters picked without replacement from jsjsjjjdsjaj.
7/132
Four letters picked without replacement from {x: 6, r: 6}. Give prob of sequence xxrr.
5/66
Calculate prob of sequence xox when three letters picked without replacement from ooxo.
0
Three letters picked without replacement from neeeennnnnneee. Give prob of sequence nnn.
5/52
Four letters picked without replacement from {n: 8, r: 5}. Give prob of sequence rnrr.
4/143
Calculate prob of sequence dod when three letters picked without replacement from oddodoo.
4/35
What is prob of sequence too when three letters picked without replacement from {t: 2, o: 9}?
8/55
Four letters picked without replacement from {x: 1, j: 2, y: 1, n: 2, o: 1}. Give prob of sequence jjoy.
1/420
Two letters picked without replacement from lcccfcchcccqfhcccctc. What is prob of sequence ht?
1/190
Four letters picked without replacement from {b: 1, k: 2, f: 2, y: 14}. What is prob of sequence yykb?
91/23256
Calculate prob of sequence jajj when four letters picked without replacement from {l: 6, d: 4, j: 3, a: 2}.
1/2730
What is prob of sequence ku when two letters picked without replacement from {u: 12, k: 3}?
6/35
Calculate prob of sequence mzmn when four letters picked without replacement from mzmkknzkncnk.
1/990
Two letters picked without replacement from omomommmomm. What is prob of sequence om?
14/55
Calculate prob of sequence kww when three letters picked without replacement from {w: 2, n: 2, x: 8, k: 4}.
1/420
Two letters picked without replacement from {v: 2, t: 5}. What is prob of sequence tv?
5/21
What is prob of sequence ch when two letters picked without replacement fro | {
"pile_set_name": "DM Mathematics"
} |
153
Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {a: 1, o: 2, x: 1}.
1/3
Three letters picked without replacement from {a: 8, i: 5, t: 2}. What is prob of picking 1 i and 2 a?
4/13
What is prob of picking 1 y, 2 s, and 1 q when four letters picked without replacement from yssqqqq?
4/35
Calculate prob of picking 3 z when three letters picked without replacement from {f: 3, z: 3, g: 1}.
1/35
Two letters picked without replacement from ofuxh. What is prob of picking 1 f and 1 u?
1/10
Two letters picked without replacement from vwbtw. What is prob of picking 1 b and 1 v?
1/10
Four letters picked without replacement from {y: 4, f: 15}. Give prob of picking 2 y and 2 f.
105/646
Calculate prob of picking 1 y and 1 q when two letters picked without replacement from gzzqqqzggqyzgggq.
1/24
Four letters picked without replacement from zrmzbzrrzbbbzzzmbbab. What is prob of picking 1 m, 1 a, 1 r, and 1 z?
14/1615
Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {s: 1, p: 5, c: 7, x: 1, j: 1, b: 2}.
1/136
Four letters picked without replacement from {g: 11, r: 2}. What is prob of picking 3 g and 1 r?
6/13
Three letters picked without replacement from opgoioi. Give prob of picking 3 o.
1/35
What is prob of picking 2 p when two letters picked without replacement from {q: 1, v: 1, i: 1, p: 2, d: 2}?
1/21
Two letters picked without replacement from ipzvi. Give prob of picking 1 p and 1 i.
1/5
Two letters picked without replacement from {y: 7, m: 9}. Give prob of picking 2 m.
3/10
Calculate prob of picking 1 f and 2 n when three letters picked without replacement from nnufufnnffnnn.
42/143
What is prob of picking 2 h when two letters picked without replacement from {h: 4, g: 2}?
2/5
Four letters picked without replacement from {z: 10, c: 1, r: 7}. What is prob of picking 2 r and 2 z?
21/68
Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 9, w: 9}.
9/17
Three letters picked without replacement from {k: 1, h: 2, w: 5, t: 3, g: 1, f: 1}. What is prob of picking 2 h and 1 f?
1/286
Four letters picked without replacement from {j: 15, r: 5}. Give prob of picking 4 r.
1/969
Four letters picked without replacement from tetedeetteedddeeeed. What is prob of picking 2 d and 2 e?
75/646
What is prob of picking 3 a when three letters picked without replacement from {v: 2, a: 4}?
1/5
What is prob of picking 1 i, 1 a, and 2 v when four letters picked without replacement from {v: 7, i: 4, a: 5}?
3/13
Three letters picked without replacement from {a: 1, t: 6, m: 2, b: 1, n: 7, j: 2}. Give prob of picking 1 t and 2 n.
42/323
Two letters picked without replacement from {k: 3, g: 6, j: 2, b: 2, a: 2}. What is prob of picking 1 a and 1 j?
4/105
Three letters picked without replacement from {z: 1, k: 13, q: 1}. Give prob of picking 1 z, 1 q, and 1 k.
1/35
What is prob of picking 3 v when three letters picked without replacement from ttvttvttttvtvtttvvt?
20/969
Four letters picked without replacement from {w: 4, b: 7, t: 3, v: 3, o: 1}. What is prob of picking 2 t and 2 w?
1/170
Four letters picked without replacement from jffjjffjjf. What is prob of picking 3 f and 1 j?
5/21
Calculate prob of picking 1 t, 1 j, 1 e, and 1 x when four letters picked without replacement from xeejxjjjtjxttjjjt.
48/595
Calculate prob of picking 2 q when two letters picked without replacement from qqrrqqqrrr.
2/9
Three letters picked without replacement from {d: 5, m: 1, n: 7, o: 1}. What is prob of picking 2 d and 1 n?
5/26
What is prob of picking 1 q, 1 o, and 2 v when four letters picked without replacement from {f: 1, u: 3, o: 1, q: 1, b: 5, v: 2}?
1/715
Three letters picked without replacement from {d: 2, l: 7, c: 6, v: 1, i: 4}. Give prob of picking 2 c and 1 l.
7/76
Three letters picked without replacement from {z: 1, b: 3, q: 1, c: 5}. Give prob of picking 2 c and 1 b.
1/4
What is prob of picking 1 d and 1 t when two letters picked without replacement from {t: 4, d: 8, r: 1, e: 5}?
32/153
What is prob of picking 1 i, 1 y, and 1 u when three letters picked without replacement from {c: 1, u: 3, y: 1, i: 2, a: 1, s: 3}?
2/55
What is prob of picking 2 n, 1 o, and 1 s when four letters picked without replacement from {u: 9, n: 5, o: 3, s: 1}?
1/102
What is prob of picking 1 g and 1 x when two letters picked without replacement from {a: 1, b: 7, x: 2, w: 7, g: 1}?
2/153
Three letters picked without replacement from kutueeuunule. What is prob of picking 1 t, 1 k, and 1 e?
3/220
What is prob of picking 1 k and 1 o when two letters picked without replacement from {k: 1, o: 1, n: 1, i: 1, a: 2, c: 2}?
1/28
What is prob of picking 1 a and 2 j when three letters picked without replacement from vaajoaavj?
1/21
Calculate prob of picking 2 y when two letters picked without replacement from {y: 18, c: 1}.
17/19
Two letters picked without replacement from {x: 6, k: 1, f: 4}. Give prob of picking 2 f.
6/55
What is prob of picking 2 z when two letters picked without replacement from zmmczmm?
1/21
Four letters picked without replacement from {b: 3, x: 1, i: 1, y: 2, p: 4}. Give prob of picking 1 x, 1 b, and 2 p.
3/55
Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwwwwwwgwgwwwww.
153/190
What is prob of picking 1 x, 1 u, and 1 s when three letters picked without replacement from sxhhhux?
2/35
Two letters picked without replacement from {w: 2, c: 10}. Give prob of picking 1 w and 1 c.
10/33
Two letters picked without replacement from ftcsosfsycoytos. Give prob of picking 1 y and 1 f.
4/105
Three letters picked without replacement from dxhoxdxdoxxohxxxxd. What is prob of picking 2 h and 1 x?
3/272
What is prob of picking 1 i and 1 b when two letters picked without replacement from {b: 2, i: 3, k: 7, j: 3, n: 2, v: 1}?
2/51
Two letters picked without replacement from gccccgcccccc. Give prob of picking 1 c and 1 g.
10/33
Two letters picked without replacement from piiiiiiipiiii. What is prob of picking 2 p?
1/78
What is prob of picking 1 y and 2 r when three letters picked without replacement from {y: 3, r: 15, h: 2}?
21/76
Four letters picked without replacement from {m: 7, g: 2}. Give prob of picking 4 m.
5/18
What is prob of picking 3 r and 1 x when four letters picked without replacement from {x: 12, r: 7}?
35/323
Two letters picked without replacement from {k: 4, t: 8, w: 4, d: 1, u: 2}. What is prob of picking 1 t and 1 d?
8/171
What is prob of picking 1 t and 1 o when two letters picked without replacement from {a: 2, n: 1, t: 5, o: 1}?
5/36
What is prob of picking 2 n, 1 q, and 1 p when four letters picked without replacement from {p: 4, q: 7, n: 2}?
28/715
Two letters picked without replacement from ewseese. What is prob of picking 2 e?
2/7
Calculate prob of picking 1 t, 1 j, 1 b, and 1 w when four letters picked without replacement from wsbjqts.
1/35
What is prob of picking 1 l and 1 a when two letters picked without replacement from {l: 5, o: 3, q: 1, a: 7}?
7/24
Two letters picked without replacement from {a: 2, h: 3}. What is prob of picking 2 h?
3/10
Two letters picked without replacement from {j: 2, t: 4, c: 3}. Give prob of picking 2 j.
1/36
Two letters picked without replacement from vzzuuuuuzzzzuu. What is prob of picking 1 v and 1 u?
1/13
Two letters picked without replacement from uuuuutuuttutut. Give prob of picking 1 t and 1 u.
45/91
Four letters picked without replacement from {t: 13, n: 1, h: 2, a: 1}. Give prob of picking 4 t.
143/476
Calculate prob of picking 3 h and 1 p when four letters picked without replacement from epppefph.
0
Four letters picked without replacement from {w: 3, f: 9}. What is prob of picking 1 w and 3 f?
28/55
What is prob of picking 1 j and 3 h when four letters picked without replacement from jhjjhjjjjhjjjhjh?
11/182
Three letters picked without replacement from smmmmmssmmsss. Give prob of picking 2 s and 1 m.
105/286
Calculate prob of picking 2 x and 1 b when three letters picked without replacement from {b: 2, i: 1, e: 2, x: 8}.
28/143
What is prob of picking 1 v and 1 z when two letters picked without replacement from {o: 1, v: 2, s: 3, i: 2, m: 2, z: 2}?
2/33
Three letters picked without replacement from vre | {
"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.